% Proof 1 at 639.58 (+ 2.42) seconds.

% Length of proof is 1170.

% Level of proof is 79.

% Maximum clause weight is 39.000.

% Given clauses 7121.

2 a(x,C,y) * (a(x,C,y) * a(x,C,y)) = 0 # label(non_clause) # label(goal). [goal].

4 0 * x = x. [assumption].

5 x * 0 = x. [assumption].

6 x * (x \ y) = y. [assumption].

7 x \ (x * y) = y. [assumption].

8 (x * y) / y = x. [assumption].

9 (x / y) * y = x. [assumption].

10 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

11 x * ((y * C) * x) = (x * y) * (C * x). [assumption].

12 (x * y) * (C * x) = x * ((y * C) * x). [copy(11),flip(a)].

13 C * x = x * C. [assumption].

14 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

15 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(14),flip(a)].

17 a(c3,C,c4) * (a(c3,C,c4) * a(c3,C,c4)) != 0. [deny(2)].

19 0 \ x = x. [para(6(a,1),4(a,1)),flip(a)].

20 x \ x = 0. [para(5(a,1),7(a,1,2))].

21 x / x = 0. [para(4(a,1),8(a,1,1))].

22 x / 0 = x. [para(5(a,1),8(a,1,1))].

23 x / (y \ x) = y. [para(6(a,1),8(a,1,1))].

24 (x / y) \ x = y. [para(9(a,1),7(a,1,2))].

25 (x * x) * y = x * (x * y). [para(4(a,1),10(a,1,1,2)),rewrite([4(5)])].

26 x * (y * (x * ((x * (y * x)) \ z))) = z. [para(10(a,1),6(a,1))].

27 (x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z. [para(6(a,1),10(a,1,1,2)),flip(a)].

28 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(10(a,1),7(a,1,2))].

29 (x * (y * (x * z))) / z = x * (y * x). [para(10(a,1),8(a,1,1))].

30 x * ((y / x) * (x * z)) = (x * y) * z. [para(9(a,1),10(a,1,1,2)),flip(a)].

31 (x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))). [para(10(a,1),10(a,1,1,2)),rewrite([10(9)])].

33 x * ((C * (x \ y)) * x) = y * (C * x). [para(6(a,1),12(a,1,1)),rewrite([13(6,R)]),flip(a)].

35 (x * y) \ (x * ((y * C) * x)) = C * x. [para(12(a,1),7(a,1,2))].

37 (x / y) * ((y * C) * (x / y)) = x * (C * (x / y)). [para(9(a,1),12(a,1,1)),flip(a)].

39 ((C * x) * (x * ((y * C) * x))) * z = (C * x) * ((x * y) * ((C * x) * z)). [para(12(a,1),10(a,1,1,2))].

40 x * ((C * (y * x)) * x) = x * (y * (x * (C * x))). [para(12(a,1),10(a,1)),rewrite([13(3,R)])].

42 (x * (y * (x * z))) * (C * (x * (y * x))) = x * (y * (x * ((z * C) * (x * (y * x))))). [para(10(a,1),12(a,1,1)),rewrite([10(16)])].

43 x * ((C * (y * (z * y))) * x) = x * ((y * (z * (y * C))) * x). [para(10(a,1),12(a,2,2,1)),rewrite([12(6),13(4,R)])].

45 C \ (x * C) = x. [para(13(a,1),7(a,1,2))].

46 x \ (C * x) = C. [para(13(a,2),7(a,1,2))].

48 (C * x) / C = x. [para(13(a,2),8(a,1,1))].

49 C * (x / C) = x. [para(13(a,2),9(a,1))].

50 (x * (x * C)) * y = x * (C * (x * y)). [para(13(a,1),10(a,1,1,2))].

51 C * (x * (C * y)) = C * (x * (y * C)). [para(13(a,1),10(a,2,2,2)),rewrite([10(5)])].

52 (C * (C * x)) * y = C * (x * (C * y)). [para(13(a,2),10(a,1,1,2))].

53 C * (x * (y * x)) = x * (y * (x * C)). [para(13(a,2),10(a,1))].

54 C * (x * (y * x)) = x * (y * (C * x)). [para(13(a,2),10(a,2,2,2)),rewrite([13(4,R)])].

56 (x * y) * (x * C) = x * ((y * C) * x). [para(13(a,1),12(a,1,2))].

57 (C * x) * (C * x) = x * (C * (C * x)). [para(13(a,2),12(a,1,1)),rewrite([25(9)])].

63 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(6(a,1),15(a,1,1,2))].

64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(15(a,1),7(a,1,2))].

66 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(9(a,1),15(a,1,1,2))].

67 x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z. [para(9(a,1),15(a,1,1))].

69 x * (y * (x * a(x,y,x))) = (x * y) * x. [para(15(a,1),10(a,1)),flip(a)].

71 (x * (y * (x * (z * u)))) * a(x * (y * x),z,u) = (x * (y * (x * z))) * u. [para(10(a,1),15(a,1,1)),rewrite([10(11)])].

73 (x * (y * ((z * C) * y))) * a(x,y * z,C * y) = (x * (y * z)) * (C * y). [para(12(a,1),15(a,1,1,2))].

75 (x * (y * C)) * a(x,C,y) = (x * C) * y. [para(13(a,1),15(a,1,1,2))].

76 (C * x) * y = (x * C) * y. [para(13(a,1),15(a,2,1)),rewrite([15(6)])].

77 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(13(a,2),15(a,1,1,2)),rewrite([13(9,R)])].

79 C \ x = x / C. [para(9(a,1),45(a,1,2))].

83 x * (x * ((x * x) \ y)) = y. [para(25(a,1),6(a,1))].

85 (x * (x * y)) / y = x * x. [para(25(a,1),8(a,1,1))].

86 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(25(a,1),10(a,1,1,2)),rewrite([25(7)])].

91 C * (x * x) = x * (x * C). [para(25(a,1),13(a,2))].

92 C * (C * x) = C * (x * C). [para(13(a,1),25(a,2,2)),rewrite([25(4)])].

93 C * (x * x) = x * (C * x). [para(13(a,2),25(a,2,2)),rewrite([13(3,R)])].

94 (x * (y * (y * z))) * a(x,y * y,z) = (x * (y * y)) * z. [para(25(a,1),15(a,1,1,2))].

95 (x * (x * (y * z))) * a(x * x,y,z) = (x * (x * y)) * z. [para(25(a,1),15(a,1,1)),rewrite([25(8)])].

99 C * (x * C) = x * (C * C). [para(49(a,1),12(a,1,1)),rewrite([13(9,R),49(9)]),flip(a)].

100 (x * y) * a(x,C,y / C) = (x * C) * (y / C). [para(49(a,1),15(a,1,1,2))].

101 (x * C) * ((C * x) \ y) = y. [para(76(a,1),6(a,1))].

102 (C * x) * ((x * C) \ y) = y. [para(76(a,2),6(a,1))].

103 (C * x) \ ((x * C) * y) = y. [para(76(a,1),7(a,1,2))].

104 (x * C) \ ((C * x) * y) = y. [para(76(a,2),7(a,1,2))].

106 ((x * C) * (y * (C * x))) * z = (C * x) * (y * ((C * x) * z)). [para(76(a,1),10(a,1,1))].

107 (C * x) * (y * ((C * x) * z)) = (C * x) * (y * ((x * C) * z)). [para(76(a,1),10(a,2,2,2)),rewrite([10(7)])].

108 ((C * x) * (y * (x * C))) * z = (x * C) * (y * ((x * C) * z)). [para(76(a,2),10(a,1,1))].

109 (x * C) * (y * ((C * x) * z)) = (x * C) * (y * ((x * C) * z)). [para(76(a,2),10(a,2,2,2)),rewrite([10(7)]),flip(a)].

110 (C * (x * (y * x))) * z = (x * (y * (x * C))) * z. [para(10(a,1),76(a,2,1))].

113 (x * ((y * C) * z)) * a(x,C * y,z) = (x * (C * y)) * z. [para(76(a,1),15(a,1,1,2))].

114 ((x * C) * (y * z)) * a(C * x,y,z) = ((C * x) * y) * z. [para(76(a,1),15(a,1,1))].

115 ((C * x) * y) * z = ((x * C) * y) * z. [para(76(a,1),15(a,2,1)),rewrite([15(8)])].

120 (C * x) * ((C * x) * y) = x * (C * (C * (x * y))). [para(76(a,1),25(a,1,1)),rewrite([12(5),25(4),86(6)]),flip(a)].

123 ((C * x) * (x * C)) * y = (x * C) * ((x * C) * y). [para(76(a,2),25(a,1,1))].

124 (C * (x * x)) * y = x * (C * (x * y)). [para(25(a,1),76(a,2,1)),rewrite([50(8)])].

125 x * (y * ((y * (x * y)) \ z)) = y \ z. [para(26(a,1),7(a,1,2)),flip(a)].

139 x * ((x * x) \ y) = x \ y. [para(83(a,1),7(a,1,2)),flip(a)].

150 (x * y) / (x \ y) = x * x. [para(6(a,1),85(a,1,1,2))].

155 (C * (x * C)) / x = C * C. [para(13(a,1),85(a,1,1,2))].

161 (C * x) * (x * C) = x * (C * (C * x)). [para(76(a,2),85(a,2)),rewrite([85(7),56(5),25(4)]),flip(a)].

164 (x * C) * ((x * C) * y) = x * (C * (C * (x * y))). [back_rewrite(123),rewrite([161(5),86(6)]),flip(a)].

165 x \ (C * (x * x)) = x * C. [para(91(a,2),7(a,1,2))].

167 C * ((x / C) * (x / C)) = (x / C) * x. [para(9(a,1),91(a,2,2))].

169 C * (x * (C * (y * y))) = C * (x * (y * (y * C))). [para(91(a,1),10(a,2,2,2)),rewrite([10(6)])].

174 C * (x * (x * x)) = x * (C * (x * x)). [para(91(a,2),10(a,2,2)),rewrite([13(4,R)])].

191 (x * ((x \ y) * z)) * ((x \ y) * ((x * ((x \ y) * z)) * u)) = ((x * ((x \ y) * z)) * (((x \ y) * y) * z)) * u. [para(27(a,1),10(a,1,1,2)

),flip(a)].

197 (((x \ y) * y) * z) * a(x \ y,x,(x \ y) * z) = ((x \ y) * x) * ((x \ y) * z). [para(27(a,1),15(a,1,1))].

216 (x / C) * (C * x) = C * ((x / C) * x). [para(92(a,2),27(a,1,2)),rewrite([79(2),79(6),49(7),79(7),13(10,R)])].

236 (x * (C * C)) / C = x * C. [para(99(a,1),7(a,1,2)),rewrite([79(6)])].

237 x \ (C * (x * C)) = C * C. [para(99(a,2),7(a,1,2))].

242 (x * (C * C)) * y = C * (x * (C * y)). [para(99(a,1),10(a,1,1))].

243 C * (x * (C * (y * C))) = C * (x * (y * (C * C))). [para(99(a,1),10(a,2,2,2)),rewrite([10(7)])].

244 C * (x * (C * x)) = x * (x * (C * C)). [para(99(a,1),10(a,2,2)),rewrite([13(5,R)])].

245 C * (C * (x * (y * x))) = x * (y * (x * (C * C))). [para(99(a,2),10(a,1)),rewrite([13(5,R)])].

246 C * (C * (x * (y * x))) = x * (y * (C * (x * C))). [para(99(a,2),10(a,2,2,2)),rewrite([99(6,R),13(5,R)])].

249 C * (C * x) = x * (C * C). [para(13(a,2),99(a,1,2))].

251 (x * (C * (y * C))) * a(x,y,C * C) = C * (C * (x * y)). [para(99(a,2),15(a,1,1,2)),rewrite([99(15,R),13(14,R)])].

254 C * (C * (x * x)) = x * (x * (C * C)). [para(99(a,2),25(a,1)),rewrite([13(4,R)])].

259 (x * C) * (x * (C * C)) = C * (x * (C * (C * x))). [para(99(a,1),93(a,2,2)),rewrite([56(6),25(5)]),flip(a)].

260 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(6(a,1),28(a,1,2,2,2))].

265 (C * (C * (x * y))) \ (C * (x * ((y * C) * x))) = x. [para(12(a,1),28(a,1,2,2)),rewrite([13(4,R)])].

291 (C * x) \ y = (x * C) \ y. [para(101(a,1),7(a,1,2)),flip(a)].

292 (x * (y * (x * C))) * ((C * (x * (y * x))) \ z) = z. [para(10(a,1),101(a,1,1))].

295 x * (C * (C * (x * ((C * x) \ y)))) = (x * C) * y. [para(101(a,1),25(a,2,2)),rewrite([56(5),25(4),86(9)])].

300 (C * x) * ((C * ((x * C) \ y)) * (C * x)) = y * (C * (C * x)). [para(102(a,1),12(a,1,1)),rewrite([13(12,R)]),flip(a)].

301 ((C * C) \ x) * x = (x / C) * (x / C). [para(102(a,1),12(a,2,2)),rewrite([13(6,R),139(6),79(2),139(8),79(4)]),flip(a)].

302 (x * y) * a(x,C * z,(z * C) \ y) = (x * (C * z)) * ((z * C) \ y). [para(102(a,1),15(a,1,1,2))].

305 (C * x) \ (x * C) = 0. [para(5(a,1),103(a,1,2))].

317 (x * (y * z)) / (x \ z) = x * (y * x). [para(6(a,1),29(a,1,1,2,2))].

318 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(9(a,1),29(a,1,1,2,2))].

319 x * ((y / (x * z)) * x) = (x * y) / z. [para(9(a,1),29(a,1,1,2)),flip(a)].

322 ((x * y) * (z * (x * ((y * C) * x)))) / (C * x) = (x * y) * (z * (x * y)). [para(12(a,1),29(a,1,1,2,2))].

323 (C * (x * ((y * C) * x))) / x = C * (C * (x * y)). [para(12(a,1),29(a,1,1,2)),rewrite([13(11,R)])].

325 (x * (y * (C * x))) / C = x * (y * x). [para(13(a,2),29(a,1,1,2,2))].

327 (x * (y * (y * (x * z)))) / z = x * (y * (y * x)). [para(25(a,1),29(a,1,1,2)),rewrite([25(7)])].

356 (x * C) \ (C * (x * (C * (C * x)))) = C * (C * x). [para(91(a,2),104(a,1,2)),rewrite([57(8),13(14,R)])].

371 (x * y) * (x \ z) = x * ((y / x) * z). [para(6(a,1),30(a,1,2,2)),flip(a)].

372 x \ ((x * y) * z) = (y / x) * (x * z). [para(30(a,1),7(a,1,2))].

374 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) * y. [para(9(a,1),30(a,1,2,2))].

380 C * ((x / C) * (y * C)) = (C * x) * y. [para(13(a,1),30(a,1,2,2))].

381 x * ((y / x) * (C * x)) = C * (x * y). [para(13(a,2),30(a,1,2,2)),rewrite([13(8,R)])].

386 ((C * x) * y) / C = (x / C) * (C * y). [para(30(a,1),48(a,1,1))].

388 (C * x) * (y / C) = C * ((x / C) * y). [para(49(a,1),30(a,1,2,2)),flip(a)].

389 (x * C) * ((y / (C * x)) * ((C * x) * z)) = ((C * x) * y) * z. [para(30(a,1),76(a,1)),flip(a)].

390 (C * x) * ((y / (x * C)) * ((x * C) * z)) = ((x * C) * y) * z. [para(30(a,1),76(a,2))].

394 C * ((x / C) * (y * (y * C))) = (C * x) * (y * y). [para(91(a,1),30(a,1,2,2))].

401 C * ((x / C) * (y * (C * C))) = (C * x) * (y * C). [para(99(a,1),30(a,1,2,2))].

402 x * ((y / x) * (C * (x * C))) = C * (C * (x * y)). [para(99(a,2),30(a,1,2,2)),rewrite([99(12,R),13(11,R)])].

403 ((x * C) * y) * ((C * x) \ z) = (x * C) * ((y / (x * C)) * z). [para(101(a,1),30(a,1,2,2)),flip(a)].

405 (C * x) \ (((x * C) * y) * z) = (y / (x * C)) * ((x * C) * z). [para(30(a,1),103(a,1,2))].

408 (x * C) \ (((C * x) * y) * z) = (y / (C * x)) * ((C * x) * z). [para(30(a,1),104(a,1,2))].

410 (x * x) \ y = x \ (x \ y). [para(139(a,1),7(a,1,2)),flip(a)].

417 x / (y \ (y \ x)) = y * y. [para(139(a,1),85(a,1,1,2)),rewrite([6(2),410(2)])].

420 ((x / C) / C) * x = (x / C) * (x / C). [back_rewrite(301),rewrite([410(4),79(3),79(4)])].

423 x / (x \ 0) = x * x. [para(5(a,1),150(a,1,1))].

428 (x * C) / (x / C) = C * C. [para(13(a,1),150(a,1,1)),rewrite([79(4)])].

429 (C * x) / (x \ C) = x * x. [para(13(a,2),150(a,1,1))].

436 (x * (C * C)) / x = C * C. [para(99(a,1),150(a,1,1)),rewrite([79(8),8(8)])].

444 (0 / x) * (0 / x) = (0 / x) / x. [para(24(a,1),423(a,1,2)),flip(a)].

458 (x * (C * (x * ((y * C) * x)))) * z = x * (C * ((x * y) * (C * (x * z)))). [para(12(a,1),31(a,1,1,2,2))].

463 (C * (x * (y * (C * x)))) * z = C * (x * (y * (x * (C * z)))). [para(13(a,2),31(a,1,1,2,2,2))].

489 (x * (x * (C * (y * (x * (x * C)))))) * z = x * (x * (C * (y * (C * (x * (x * z)))))). [para(91(a,1),31(a,1,1,2,2,2)),rewrite([25(8),25(

14),25(18)])].

516 C * (x * (C * (y * (C * x)))) = x * (C * (y * (x * (C * C)))). [para(99(a,1),31(a,2,2,2,2)),rewrite([13(8,R)])].

519 C * (C * (x * (y * (x * C)))) = C * (x * (y * (C * (x * C)))). [para(99(a,2),31(a,2,2,2,2)),rewrite([13(8,R)])].

545 (x * (C * (x * C))) * y = x * (C * (C * (x * y))). [para(155(a,1),30(a,1,2,1)),rewrite([25(5)]),flip(a)].

559 x \ (y * (C * x)) = (C * (x \ y)) * x. [para(33(a,1),7(a,1,2))].

562 x * ((C * (x \ y)) * (x * z)) = (y * (C * x)) * z. [para(33(a,1),10(a,1,1)),flip(a)].

564 C * (C * (C * x)) = x * (C * (C * C)). [para(12(a,1),33(a,1,2)),rewrite([410(8),79(7),79(8),13(10,R),49(10),13(8,R),49(8),25(6)])].

565 x * (C * y) = x * (y * C). [para(13(a,1),33(a,2,2)),rewrite([33(5)])].

577 x * (C * (y * C)) = x * (y * (C * C)). [para(99(a,1),33(a,2,2)),rewrite([33(11)])].

644 C * (x / (C * C)) = x / C. [para(9(a,1),236(a,1,1)),rewrite([13(8,R)]),flip(a)].

646 (C * (x * (C * C))) * y = C * ((x * C) * (C * y)). [para(236(a,1),30(a,1,2,1)),flip(a)].

648 (x / C) \ (C * x) = C * C. [para(9(a,1),237(a,1,2,2))].

650 (C * (x \ C)) * x = C * C. [para(13(a,2),237(a,1,2,2)),rewrite([559(5)])].

681 C * (x * (C * (C * y))) = C * (x * (y * (C * C))). [para(249(a,1),10(a,2,2,2)),rewrite([10(7)])].

686 (x * (C * (C * y))) * a(x,y,C * C) = C * (C * (x * y)). [para(249(a,2),15(a,1,1,2)),rewrite([99(15,R),13(14,R)])].

703 C * (C * (x * (C * (C * y)))) = C * (C * (x * (y * (C * C)))). [para(249(a,1),31(a,2,2,2,2)),rewrite([31(9)])].

707 x * (C * (C * y)) = x * (y * (C * C)). [para(249(a,1),33(a,2,2)),rewrite([33(11)])].

727 (C * (C * x)) \ y = (x * (C * C)) \ y. [para(249(a,1),291(a,1,1)),rewrite([13(9,R)]),flip(a)].

733 (x / (y * (z * y))) * ((y * (z * (y * C))) * (x / (y * (z * y)))) = x * (C * (x / (y * (z * y)))). [para(10(a,1),37(a,1,2,1))].

735 C * ((x / C) * x) = x * x. [para(13(a,1),37(a,1,2,1)),rewrite([25(8),49(7),216(5),49(9)])].

746 (x * y) * (C * (x * x)) = x * ((y * (C * x)) * x). [para(150(a,1),37(a,1,1)),rewrite([13(4,R),150(7),25(7),562(6),150(10)]),flip(a)].

752 (x / C) * (C * x) = x * x. [back_rewrite(216),rewrite([735(10)])].

756 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [para(25(a,1),410(a,1,1)),rewrite([410(7),410(8)])].

768 (x * C) * (C * (C * C)) = C * (C * (x * (C * C))). [para(428(a,1),37(a,1,1)),rewrite([13(7,R),49(7),428(8),25(8),428(16)]),flip(a)].

770 (C * (C / x)) / x = (C / x) * (C / x). [para(24(a,1),429(a,1,2))].

813 (C * (x * (C * (y * (C * (C * x)))))) * z = C * (x * (C * (y * (C * (x * (C * z)))))). [para(102(a,1),39(a,2,2,1)),rewrite([13(11,R),300

(15),52(10),52(20),52(22)])].

829 x / (x / (C * C)) = C * C. [para(9(a,1),436(a,1,1))].

835 (x * (y * C)) / (C * y) = x. [para(565(a,1),8(a,1,1))].

836 (x * (C * y)) / (y * C) = x. [para(565(a,2),8(a,1,1))].

837 (x / (C * y)) * (y * C) = x. [para(565(a,1),9(a,1))].

838 (x / (y * C)) * (C * y) = x. [para(565(a,2),9(a,1))].

844 (x * (y * (z * C))) * a(x,y,C * z) = (x * y) * (C * z). [para(565(a,1),15(a,1,1,2))].

846 (x * (y * (C * z))) * a(x,y,z * C) = (x * y) * (z * C). [para(565(a,2),15(a,1,1,2))].

849 (C * x) * (C * y) = (x * C) * (y * C). [para(565(a,1),76(a,2))].

852 (x * (y * (x * (z * C)))) / (C * z) = x * (y * x). [para(565(a,1),29(a,1,1,2,2))].

866 (C * (x * y)) * y = x * (y * (C * y)). [para(40(a,1),7(a,1,2)),rewrite([7(6)]),flip(a)].

867 (x * (y * (x * (C * x)))) * z = x * ((C * (y * x)) * (x * z)). [para(40(a,1),10(a,1,1))].

872 C * (C * (C * (C * x))) = C * (x * (C * (C * C))). [para(13(a,2),40(a,1,2,1,2)),rewrite([13(7,R)])].

913 C * (C * (C * (C * (C * (x * C))))) = C * (C * (C * (x * (C * (C * C))))). [para(40(a,1),40(a,1,2,1)),rewrite([13(11,R),746(23),99(20,R)

,13(19,R),13(22,R)]),flip(a)].

914 (x / C) / C = x / (C * C). [para(644(a,1),7(a,1,2)),rewrite([79(4)])].

915 (x / C) / (x / (C * C)) = C. [para(644(a,1),8(a,1,1))].

922 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(644(a,1),30(a,1,2,2)),flip(a)].

933 (x / (C * C)) * x = (x / C) * (x / C). [back_rewrite(420),rewrite([914(4)])].

935 (x / C) \ (x * C) = C * C. [para(13(a,1),648(a,1,2))].

936 (C * x) / (C * C) = x / C. [para(648(a,1),23(a,1,2))].

940 (x * x) / (C * C) = (x / C) * (x / C). [para(648(a,1),150(a,1,2)),rewrite([752(5)])].

942 (x / C) * (C * (C * x)) = (C * x) * x. [para(648(a,1),33(a,1,2,1,2)),rewrite([50(10),49(8),49(13)])].

949 (x * (y * z)) * (C * (x * (y * x))) = x * (y * ((z * (C * x)) * (y * x))). [para(6(a,1),42(a,1,1,2,2)),rewrite([13(10,R),562(14)])].

960 x * (y * (x * ((C * z) * (x * (y * x))))) = x * (y * (x * ((z * C) * (x * (y * x))))). [para(13(a,2),42(a,2,2,2,2,1)),rewrite([949(8),12

(4),10(6)]),flip(a)].

983 C * (C * (C * (C * (C * (C * (C * x)))))) = C * (C * (C * (C * (C * (x * (C * C)))))). [para(91(a,1),42(a,1,2,2)),rewrite([949(14),99(8,

R),13(7,R),99(12,R),13(11,R),768(25)])].

1040 (C * (x \ C)) \ (C * C) = x. [para(650(a,1),7(a,1,2))].

1041 (C * C) / x = C * (x \ C). [para(650(a,1),8(a,1,1))].

1045 (C * x) * (C / x) = C * C. [para(24(a,1),650(a,1,1,2))].

1060 (x * x) / C = (x / C) * x. [para(735(a,1),7(a,1,2)),rewrite([79(3)])].

1097 (x * x) / (C * x) = x / C. [para(752(a,1),8(a,1,1))].

1099 (C * x) * x = C * (x * x). [para(752(a,1),10(a,2,2)),rewrite([13(5,R),49(5)])].

1110 (C * (x * x)) / x = C * x. [para(752(a,1),29(a,1,1,2)),rewrite([13(9,R),49(9)])].

1122 (x / C) * (C * (C * x)) = C * (x * x). [back_rewrite(942),rewrite([1099(10)])].

1133 (x / (C * C)) * (C * (C * ((x / (C * C)) * y))) = (x / C) * ((x / C) * y). [para(829(a,1),30(a,1,2,1)),rewrite([25(13),933(19),25(20)])

].

1152 x * (C * (y * (y * (C * x)))) = x * (y * (C * (C * (y * x)))). [para(13(a,1),43(a,1,2,1,2,2)),rewrite([86(6),545(13)])].

1296 x / (C * y) = x / (y * C). [para(9(a,1),835(a,1,1))].

1363 C * (x * (C * (x * (C * ((C * x) \ y))))) = (x * C) * (C * y). [para(101(a,1),50(a,2,2,2)),rewrite([13(6,R),93(7,R),56(6),25(5),463(11)

])].

1425 x * a(x / (C * y),y,C) = C * ((x / (C * y)) * y). [para(837(a,1),15(a,1,1)),rewrite([13(12,R)])].

1437 C * (x * ((y / (C * x)) * (x * (C * z)))) = (C * (x * y)) * z. [para(837(a,1),31(a,1,1,2,2)),flip(a)].

1446 (x / (y * (z * (y * C)))) * (C * (y * (z * y))) = x. [para(10(a,1),838(a,1,1,2))].

1447 (x * y) * a(x,y / (z * C),C * z) = (x * (y / (z * C))) * (C * z). [para(838(a,1),15(a,1,1,2))].

1448 x * a(x / (y * C),C,y) = (C * (x / (y * C))) * y. [para(838(a,1),15(a,1,1)),rewrite([13(11,R)])].

1460 (x * C) / (C * C) = x / C. [para(8(a,1),914(a,1,1)),flip(a)].

1466 (x / (C * C)) / C = (x / C) / (C * C). [para(914(a,1),914(a,1,1))].

1541 (x * C) * x = C * (x * x). [para(935(a,1),33(a,1,2,1,2)),rewrite([50(10),49(8),1122(7),49(9)]),flip(a)].

1544 (x * (C * (C * C))) / C = C * (x * C). [para(936(a,1),29(a,1))].

1546 (x * (C * y)) / C = (x * (y * C)) / C. [para(51(a,1),936(a,1,1)),rewrite([936(9)]),flip(a)].

1547 (C * x) \ (C * C) = C / x. [para(24(a,1),1040(a,1,1,2))].

1599 C * (x * (C * (C * (C * y)))) = C * (x * (C * (y * (C * C)))). [para(52(a,1),51(a,2,2,2))].

1607 x * (C / (x / C)) = C * C. [para(6(a,1),1045(a,1,1)),rewrite([79(3)])].

1611 (x * C) * (C / x) = C * C. [para(13(a,1),1045(a,1,1))].

1654 C * ((x / C) * (y * (x / C))) = (x / C) * (y * x). [para(9(a,1),53(a,2,2,2))].

1719 C * (C * (C * (C * (C * x)))) = C * (C * (x * (C * (C * C)))). [para(249(a,2),53(a,1,2,2)),rewrite([25(9),13(18,R),25(20)])].

1803 (x / C) * x = x * (x / C). [para(6(a,1),1099(a,1,1)),rewrite([79(2),79(6),79(8),167(10)]),flip(a)].

1804 (C * x) \ (C * (x * x)) = x. [para(1099(a,1),7(a,1,2))].

1880 (x * x) / C = x * (x / C). [back_rewrite(1060),rewrite([1803(6)])].

1883 C * (x * (x / C)) = x * x. [back_rewrite(735),rewrite([1803(4)])].

1925 (C * (x * (y * x))) * a(x,y,C * x) = x * ((y * C) * x). [para(54(a,2),15(a,1,1)),rewrite([12(12)])].

1927 C * (x * (y * (y * x))) = x * (y * (y * (C * x))). [para(25(a,1),54(a,1,2,2)),rewrite([25(9)])].

1939 (x * (y * (C * x))) \ (C * (x * (y * x))) = 0. [para(54(a,1),305(a,1,1)),rewrite([13(8,R)])].

2024 (x * (x * C)) / x = C * x. [para(91(a,1),1110(a,1,1))].

2045 x / (C * (C * (C * y))) = x / (C * (y * (C * C))). [para(52(a,1),1296(a,2,2))].

2071 (C * (x \ 0)) * (x * x) = C * x. [para(1541(a,1),35(a,1,2,2)),rewrite([559(6),410(3),20(2)])].

2075 x \ (C * C) = C / (x / C). [para(6(a,1),1547(a,1,1)),rewrite([79(7)])].

2076 (C * x) \ (C / x) = C / (x * (C * x)). [para(1547(a,1),410(a,2,2)),rewrite([57(5),2075(9),325(8)]),flip(a)].

2078 C / (x * (C * y)) = C / (x * (y * C)). [para(51(a,1),1547(a,1,1)),rewrite([2075(9),48(8)]),flip(a)].

2149 C * ((x * C) * (C * (C / (C * (C * x))))) = C * C. [para(52(a,1),1611(a,1,1)),rewrite([646(13)])].

2159 (x * (x / C)) / C = (x / C) * (x / C). [para(1803(a,1),150(a,1,1)),rewrite([24(6)])].

2166 (C * x) \ (x * (x * C)) = x. [para(91(a,1),1804(a,1,2))].

2435 (x * (x * (x * C))) * y = x * ((C * x) * (x * y)). [para(2024(a,1),30(a,1,2,1)),flip(a)].

2497 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). [para(63(a,1),7(a,1,2))].

2505 (C * x) * (x \ y) = x * ((C / x) * y). [para(13(a,1),63(a,2,1)),rewrite([63(6),371(8)])].

2507 (x * C) * (y / C) = C * ((x / C) * y). [para(13(a,2),63(a,2,1)),rewrite([79(4),100(6),79(9),388(10)])].

2511 (x * (x * y)) * a(x * x,z,z \ y) = (x * (x * z)) * (z \ y). [para(25(a,1),63(a,1,1)),rewrite([25(8)])].

2525 (x * C) \ (y * ((C / y) * x)) = a(C,y,y \ x). [para(63(a,1),104(a,1,2)),rewrite([2505(6)])].

2537 (C * x) * ((C / (C * x)) * y) = C * (x * (C * ((C * x) \ y))). [para(249(a,1),63(a,2,1)),rewrite([63(10),2505(8),242(16)])].

2563 (C * (x * (y * C))) * ((x * (C * y)) \ z) = (x * (C * y)) * ((C / (x * (C * y))) * z). [para(51(a,1),63(a,2,1)),rewrite([63(12),2505(10

)]),flip(a)].

2597 (x * y) * a(x,C,y / C) = C * ((x / C) * y). [back_rewrite(100),rewrite([2507(11)])].

2638 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(6(a,1),64(a,1,2,1))].

2639 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). [para(6(a,1),64(a,1,2))].

2640 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(9(a,1),64(a,1,1,2))].

2641 x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z). [para(9(a,1),64(a,1,1))].

2642 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(9(a,1),64(a,1,2,1))].

2643 (x * (y * (z * (y * u)))) \ ((x * (y * (z * y))) * u) = a(x,y * (z * y),u). [para(10(a,1),64(a,1,1,2))].

2644 (x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u). [para(10(a,1),64(a,1,1)),rewrite([10(7)])].

2646 (x * (y * ((z * C) * y))) \ ((x * (y * z)) * (C * y)) = a(x,y * z,C * y). [para(12(a,1),64(a,1,1,2))].

2648 ((x * y) * ((C * x) * z)) \ (x * ((y * C) * (x * z))) = a(x * y,C * x,z). [para(12(a,1),64(a,1,2,1)),rewrite([10(10)])].

2651 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(13(a,1),64(a,1,2,1))].

2652 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(13(a,2),64(a,1,1,2)),rewrite([13(6,R)])].

2653 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(13(a,2),64(a,1,2,1))].

2654 (x * (y * C)) \ (C * (x * y)) = a(x,y,C). [para(13(a,2),64(a,1,2))].

2660 a(x,x,y) = 0. [para(25(a,1),64(a,1,2)),rewrite([20(5)]),flip(a)].

2661 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(49(a,1),64(a,1,1,2)),rewrite([2507(6)])].

2664 ((x * C) * (y * z)) \ (((C * x) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,1))].

2665 ((C * x) * (y * z)) \ (((x * C) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,2,1))].

2666 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(76(a,2),64(a,1,1,2))].

2667 a(C * x,y,z) = a(x * C,y,z). [para(76(a,2),64(a,1,1)),rewrite([2665(9)])].

2670 (C * (x * (x * y))) \ (x * (C * (x * y))) = a(C,x * x,y). [para(91(a,1),64(a,1,2,1)),rewrite([25(3),50(8)])].

2684 a(x,C * C,y) = a(x,C * y,C). [para(99(a,2),64(a,1,2,1)),rewrite([25(4),10(10),2652(11)]),flip(a)].

2685 (x * (y * (C * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(99(a,2),64(a,1,2)),rewrite([13(9,R)])].

2691 (C * (x * ((x * C) \ y))) \ y = a(C,x,(x * C) \ y). [para(102(a,1),64(a,1,2))].

2703 (x * (y * (C * C))) \ ((x * C) * (C * y)) = a(x,C,C * y). [para(249(a,1),64(a,1,1,2))].

2713 a(x,C * y,z) = a(x,y * C,z). [para(565(a,1),64(a,1,2,1)),rewrite([2666(9)]),flip(a)].

2721 C / ((x \ C) * x) = a(C,x \ C,x). [para(650(a,1),64(a,1,2)),rewrite([2075(9),48(8)])].

2736 x \ (C * ((x / (C * y)) * y)) = a(x / (C * y),y,C). [para(837(a,1),64(a,1,1)),rewrite([13(6,R)])].

2739 x \ ((C * (x / (y * C))) * y) = a(x / (y * C),C,y). [para(838(a,1),64(a,1,1)),rewrite([13(5,R)])].

2749 C / (x * (C / x)) = a(C,x,C / x). [para(1045(a,1),64(a,1,2)),rewrite([2075(9),48(8)])].

2778 a(C * x,C,x) = 0. [para(57(a,1),64(a,1,1)),rewrite([13(9,R),866(10),1939(11)]),flip(a)].

2903 a(x,C,x / C) = 0. [para(6(a,1),2778(a,1,1)),rewrite([79(3)])].

2912 a(x / C,C,x / (C * C)) = 0. [para(644(a,1),2778(a,1,1))].

2944 (x * C) \ ((C * (x / y)) * y) = a(C,x / y,y). [para(66(a,1),104(a,1,2))].

3037 ((0 / (x * y)) * x) * y = a(0 / (x * y),x,y). [para(67(a,1),4(a,1))].

3044 (C * (x / (C * y))) * y = (C * (x / (y * C))) * y. [para(13(a,1),67(a,1,2,1,2)),rewrite([1448(6),13(11,R)]),flip(a)].

3045 C * ((x / (C * y)) * y) = C * ((x / (y * C)) * y). [para(13(a,2),67(a,1,2,1,2)),rewrite([1425(6),13(12,R)])].

3323 x * (y * a(y,x,y)) = (x / y) * (y * y). [para(69(a,1),7(a,1,2)),rewrite([372(3)]),flip(a)].

3682 (x * (y * (C * (x * x)))) * z = (x * (y * (x * (x * C)))) * z. [para(91(a,2),71(a,2,1,2,2)),rewrite([71(12)]),flip(a)].

3694 (x * (y * (C * (x * x)))) * z = x * ((C * (y * x)) * (x * z)). [para(93(a,2),71(a,2,1,2,2)),rewrite([71(12),867(6)]),flip(a)].

3699 (C * (x * (C * (y * C)))) * z = (C * (x * (y * (C * C)))) * z. [para(99(a,1),71(a,2,1,2,2)),rewrite([71(16)])].

3846 (x * (y * (x * (x * C)))) * z = x * ((C * (y * x)) * (x * z)). [back_rewrite(3682),rewrite([3694(6)]),flip(a)].

4257 (x / C) * (x / C) = x * (x / (C * C)). [para(2912(a,1),15(a,1,2)),rewrite([644(8),5(7),13(9,R),49(9)])].

4267 (x * (x / C)) / C = x * (x / (C * C)). [back_rewrite(2159),rewrite([4257(10)])].

4279 (x * x) / (C * C) = x * (x / (C * C)). [back_rewrite(940),rewrite([4257(10)])].

4280 (x / (C * C)) * x = x * (x / (C * C)). [back_rewrite(933),rewrite([4257(10)])].

4980 (x * (x / (C * C))) * y = (x / C) * ((x / C) * y). [para(644(a,1),86(a,1,1,2,2)),rewrite([49(8),4280(5),1133(20)])].

5186 ((0 / x) / x) * (C * (0 / x)) = (0 / x) * (C * ((0 / x) / x)). [para(444(a,1),12(a,1,1)),rewrite([13(14,R),1099(17),444(16)])].

5194 (0 / x) \ (C * ((0 / x) / x)) = C * (0 / x). [para(444(a,1),165(a,1,2,2)),rewrite([13(12,R)])].

5200 (C * ((0 / x) / x)) * (0 / x) = (0 / x) * (C * ((0 / x) / x)). [para(444(a,1),50(a,2,2,2)),rewrite([13(6,R),93(7,R),444(6)])].

5201 (0 / x) * (C * ((0 / x) / x)) = C * ((0 / x) * ((0 / x) / x)). [para(444(a,1),53(a,1,2,2)),rewrite([13(16,R),93(17,R),444(16)]),flip(a)

].

5203 ((0 / x) / x) / (C * (0 / x)) = (0 / x) / C. [para(444(a,1),1097(a,1,1))].

5204 (C * ((0 / x) / x)) / (0 / x) = C * (0 / x). [para(444(a,1),1110(a,1,1,2))].

5213 (0 / x) * ((0 / x) / C) = ((0 / x) / x) / C. [para(444(a,1),1880(a,1,1)),flip(a)].

5217 (x * ((0 / y) / y)) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [para(444(a,1),64(a,1,1,2))].

5223 (x * (y * (x * ((0 / z) / z)))) * a(x * (y * x),0 / z,0 / z) = (x * (y * (x * (0 / z)))) * (0 / z). [para(444(a,1),71(a,1,1,2,2,2))].

5230 (C * ((0 / x) / x)) * (0 / x) = C * ((0 / x) * ((0 / x) / x)). [back_rewrite(5200),rewrite([5201(16)])].

5232 ((0 / x) / x) * (C * (0 / x)) = C * ((0 / x) * ((0 / x) / x)). [back_rewrite(5186),rewrite([5201(16)])].

5408 (C * (C * (x * y))) \ (C * (x * (C * y))) = a(C * C,x,y). [para(95(a,1),104(a,1,2)),rewrite([13(5,R),52(10)])].

5739 (x * (C * (C * C))) * y = C * ((C * x) * (C * y)). [para(33(a,1),106(a,1,1)),rewrite([410(15),79(14),79(15),914(15),644(16),25(16),25(1

8),30(17)])].

6322 (C * (x \ 0)) \ (C * x) = x * x. [para(2071(a,1),7(a,1,2))].

6333 ((C * (x \ 0)) * (C * x)) / (x * x) = (x \ 0) * (C * (C * (x \ 0))). [para(2071(a,1),85(a,1,1,2)),rewrite([57(18)])].

6635 (C * (x * ((y * C) * x))) * z = (x * ((C * y) * (x * C))) * z. [para(76(a,1),110(a,1,1,2,2))].

6688 (C * (C * (x * (y * x)))) \ z = (C * (x * (y * (x * C)))) \ z. [para(110(a,1),291(a,2,1)),rewrite([13(13,R)])].

6935 a(x,C * C,y / C) = a(x,y,C). [para(6(a,1),2684(a,2,2)),rewrite([79(5)])].

7678 ((x * C) * y) / C = (x / C) * (C * y). [para(115(a,1),1460(a,1,1)),rewrite([13(5,R),936(9),386(10)])].

7984 (C * x) \ (C * (0 / x)) = (0 / x) / x. [para(24(a,1),6322(a,1,1,2)),rewrite([444(12)])].

8305 a(C,x \ C,x) * ((x \ C) * x) = C. [para(2721(a,1),9(a,1,1))].

8316 a(C,x,C / x) * (x * (C / x)) = C. [para(2749(a,1),9(a,1,1))].

8318 a(C,x,C / x) \ C = x * (C / x). [para(2749(a,1),24(a,1,1))].

8356 (x / C) * (C * ((C * x) * y)) = x * (x * (C * y)). [para(30(a,1),120(a,2,2,2)),rewrite([49(4),49(4)]),flip(a)].

8378 (C * x) * (x * x) = x * (C * (x * x)). [para(1883(a,1),120(a,2,2,2)),rewrite([388(7),1803(6),1883(7)])].

8921 x * ((x * (y * x)) \ z) = y \ (x \ z). [para(125(a,1),7(a,1,2)),flip(a)].

9686 (0 / C) * (C * (C * C)) = C * C. [para(161(a,1),1804(a,1,2,2)),rewrite([559(15),8921(9),20(4),79(3)])].

9726 (0 / (C * C)) * (C * (C * C)) = C. [para(9686(a,1),25(a,2,2)),rewrite([4257(7),4(7),99(18,R),13(17,R),49(17),5(14)])].

9766 ((0 / (C * C)) * (x * C)) / (C * (C * C)) = (0 / (C * C)) * (x * (0 / (C * C))). [para(9726(a,1),29(a,1,1,2,2))].

9767 (0 / (C * C)) * (C * (x / (0 / (C * C)))) = ((0 / (C * C)) * x) * (C * (C * C)). [para(9726(a,1),30(a,1,2,2)),rewrite([13(13,R)])].

9785 x * a(x,C,0 / C) = x. [para(9726(a,1),73(a,1,2,2)),rewrite([13(12,R),2435(18),644(16),25(13),49(12),5(9),99(9,R),13(8,R),644(8),49(5),5

(2),644(8),9726(17),644(15),2507(12),5(11),49(10)])].

9808 (x \ (x / C)) * (C * (x * C)) = x * C. [para(164(a,1),2166(a,1,2)),rewrite([559(12),8921(7),79(2)])].

9845 a(x,C,0 / C) = 0. [para(9785(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

9847 x * (C * (x * (0 / C))) = x * x. [para(9845(a,1),95(a,1,2)),rewrite([49(5),5(2),5(3),50(8)]),flip(a)].

9932 (x * (C * (y * y))) / C = (x * (y * (y * C))) / C. [para(169(a,1),936(a,1,1)),rewrite([936(10)]),flip(a)].

10168 C * (x * (0 / C)) = x. [para(9847(a,1),7(a,1,2)),rewrite([7(2)]),flip(a)].

10182 x \ ((C / x) * (x * (x * (0 / C)))) = a(x,C,x * (0 / C)). [para(9847(a,1),64(a,1,1)),rewrite([410(9),372(8)])].

10200 x * (0 / C) = x / C. [para(10168(a,1),7(a,1,2)),rewrite([79(2)]),flip(a)].

10202 C * (x * (y * (x / C))) = x * (y * x). [para(10(a,1),10168(a,1,2)),rewrite([10200(5)])].

10212 (x * C) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(106(a,1),10168(a,1,2)),rewrite([10200(9),48(7)]),flip(a)].

10213 (C * x) * (y * (x * C)) = C * ((x * C) * (y * x)). [para(108(a,1),10168(a,1,2)),rewrite([10200(9),8(7)]),flip(a)].

10215 x \ ((C / x) * (x * (x / C))) = 0. [back_rewrite(10182),rewrite([10200(6),10200(12),2903(11)])].

10504 (C * ((x * C) * (y * x))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(108),rewrite([10213(6)])].

11271 x \ (x / C) = 0 / C. [para(10200(a,1),7(a,1,2))].

11272 (0 / C) * (x * ((0 / C) * y)) = ((0 / C) * (x / C)) * y. [para(10200(a,1),10(a,1,1,2)),flip(a)].

11273 (x * (y * x)) / C = x * (y * (x / C)). [para(10200(a,1),10(a,1)),rewrite([10200(8)])].

11276 (C * x) \ x = 0 / C. [para(10200(a,1),103(a,1,2)),rewrite([8(6)])].

11301 (x * (y * (y * x))) / C = x * (y * (y * (x / C))). [para(10200(a,1),86(a,1)),rewrite([10200(9)])].

11312 (0 / C) * (C * (x * C)) = x * C. [back_rewrite(9808),rewrite([11271(3)])].

11408 (x / C) \ (x / (C * C)) = 0 / C. [para(914(a,1),11271(a,1,2))].

11658 (C / x) * (x * (x / C)) = x. [para(10215(a,1),6(a,1,2)),rewrite([5(2)]),flip(a)].

11683 (C / x) \ x = x * (x / C). [para(11658(a,1),7(a,1,2))].

11695 (x * x) / (x / C) = x * C. [para(11658(a,1),29(a,1,1,2)),rewrite([9(7)])].

11850 a(C,x,x * x) = 0. [para(174(a,1),64(a,1,1)),rewrite([8378(8),20(9)]),flip(a)].

12099 a(C,0 / x,(0 / x) / x) = 0. [para(444(a,1),11850(a,1,3))].

12239 (x \ C) * ((x \ C) / C) = x \ (x \ C). [para(23(a,1),11683(a,1,1)),flip(a)].

12358 (x * C) \ (x * x) = x / C. [para(11695(a,1),24(a,1,1))].

12380 (C * x) \ (x * x) = x / C. [para(13(a,2),12358(a,1,1))].

12750 (C * (0 / x)) * ((0 / x) / x) = C * ((0 / x) * ((0 / x) / x)). [para(12099(a,1),15(a,1,2)),rewrite([5(10)]),flip(a)].

12885 (0 / C) * (C * x) = x. [para(9(a,1),11312(a,1,2,2)),rewrite([13(10,R),49(10)])].

13021 (0 / C) * x = x / C. [para(6(a,1),12885(a,1,2)),rewrite([79(6)])].

13023 x / (C * x) = 0 / C. [para(12885(a,1),8(a,1,1))].

13024 (x / (C * C)) * (C * y) = (x * y) / C. [para(12885(a,1),10(a,2,2,2)),rewrite([10200(7),13021(6),914(4),13021(12)])].

13031 (x * (x / C)) * y = x * ((x * y) / C). [para(12885(a,1),31(a,1,1,2)),rewrite([13021(4),13021(13),49(12),13021(9)])].

13036 (x * y) \ ((x / C) * (C * y)) = a(x,0 / C,C * y). [para(12885(a,1),64(a,1,1,2)),rewrite([10200(5)])].

13038 a(0 / C,C * x,y) = a(x / C,C,y). [para(12885(a,1),64(a,1,2,1)),rewrite([13021(7),386(5),2642(7)]),flip(a)].

13050 x * a(0 / C,x,C) = x. [para(12885(a,1),77(a,1,1)),rewrite([13021(11),49(10)])].

13053 (x / C) * ((x / C) * (C * y)) = (x * (x * y)) / C. [para(12885(a,1),86(a,2,2,2,2)),rewrite([10200(7),13021(7),4267(5),4980(8),13021(14

)])].

13083 (x * (y / C)) / C = (x / (C * C)) * y. [back_rewrite(11272),rewrite([13021(7),13021(7),13021(11),914(9)])].

13091 ((0 / (C * C)) * x) * (C * (C * C)) = (x / (0 / (C * C))) / C. [back_rewrite(9767),rewrite([13024(14),4(8)]),flip(a)].

13226 (0 / (C * C)) * x = x / (C * C). [para(13021(a,1),25(a,1,1)),rewrite([914(5),13021(13),13021(12),914(10)])].

13233 ((x * y) / C) \ ((x / C) * y) = a(0 / C,x,y). [para(13021(a,1),64(a,1,1)),rewrite([13021(7)])].

13248 (x / C) * ((x / C) * y) = x * ((x * y) / (C * C)). [para(13021(a,1),86(a,1,1,2,2)),rewrite([13021(6),914(4),4980(6),13021(14),13021(13

),914(11)])].

13259 (x / (0 / (C * C))) / C = x * C. [back_rewrite(13091),rewrite([13226(6),13024(10),236(6)]),flip(a)].

13266 (x * (0 / (C * C))) / (C * C) = (x / C) / (C * (C * C)). [back_rewrite(9766),rewrite([13226(8),1460(6),13226(20)]),flip(a)].

13277 x * ((x * (C * y)) / (C * C)) = (x * (x * y)) / C. [back_rewrite(13053),rewrite([13248(8)])].

13283 (x * (x / (C * C))) * y = x * ((x * y) / (C * C)). [back_rewrite(4980),rewrite([13248(12)])].

13479 (x * C) / (x * (C * C)) = 0 / C. [para(99(a,1),13023(a,1,2))].

13484 (x / (C * C)) / (x / C) = 0 / C. [para(644(a,1),13023(a,1,2))].

13536 a(0 / C,x,C) = 0. [para(13050(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

13537 (C * x) * (y * (C * x)) = C * ((x * C) * (y * x)). [para(13050(a,1),107(a,1,2,2)),rewrite([13536(17),5(12),10213(12)])].

13538 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [para(13050(a,1),109(a,1,2,2)),rewrite([10212(6),13536(17),5(12)]),flip(a)].

14247 (x * (y / (C * C))) / (C * C) = ((x / C) / (C * (C * C))) * y. [para(13226(a,1),10(a,1,1)),rewrite([13266(10),13226(20),13226(20)]),fl

ip(a)].

14248 (x / C) / (C * C) = x / (C * (C * C)). [para(13226(a,1),12(a,2)),rewrite([13226(6),644(11),10200(8),1466(6),14247(18),8(10),5(14)])].

14280 ((x * y) / (C * C)) \ ((x / (C * C)) * y) = a(0 / (C * C),x,y). [para(13226(a,1),64(a,1,1)),rewrite([13226(11)])].

14402 (x / (C * C)) / C = x / (C * (C * C)). [back_rewrite(1466),rewrite([14248(12)])].

14563 C * (x * (0 / (C * C))) = x / C. [para(8(a,1),13259(a,1,1)),rewrite([13(10,R)]),flip(a)].

14564 x / (0 / (C * C)) = C * (x * C). [para(13259(a,1),9(a,1,1)),rewrite([13(4,R)]),flip(a)].

14703 C * ((x / (C * C)) * y) = x * (y / C). [para(11276(a,1),197(a,1,1,1,1)),rewrite([13021(4),11276(6),11276(11),13021(12),13038(11),2597(

10),914(5),11276(10),13021(13),48(11),11276(10),13021(11)])].

14978 x * (0 / (C * C)) = x / (C * C). [para(14563(a,1),7(a,1,2)),rewrite([79(4),914(4)]),flip(a)].

14980 C * (x * (y * (x / (C * C)))) = x * (y * (x / C)). [para(10(a,1),14563(a,1,2)),rewrite([14978(7),11273(12)])].

15143 (C * (x * C)) \ x = 0 / (C * C). [para(14564(a,1),24(a,1,1))].

16000 C / (a(C,x,C / x) \ (x * (C / x))) = a(C,x,C / x) * a(C,x,C / x). [para(8316(a,1),150(a,1,1))].

16476 (x * (C * (y * C))) / C = (x * (y * (C * C))) / C. [para(243(a,1),936(a,1,1)),rewrite([936(11)]),flip(a)].

16862 (C * (x * (C * x))) \ y = (x * (x * (C * C))) \ y. [para(244(a,1),291(a,1,1)),rewrite([13(11,R)]),flip(a)].

17319 (x \ 0) * (C * (x * C)) = C * C. [para(245(a,2),648(a,1,2)),rewrite([1544(8),559(13),8921(8),20(3)])].

17366 (C * (C * (x * (y * x)))) \ ((x * y) * (x * (C * C))) = a(x,y,x * (C * C)). [para(245(a,2),64(a,1,1))].

17624 C / ((x \ 0) / C) = C * (x * C). [para(17319(a,1),7(a,1,2)),rewrite([2075(6)])].

17625 ((x / C) \ 0) * (C * x) = C * C. [para(9(a,1),17319(a,1,2,2))].

17628 (x \ 0) * (C * ((x * C) * (C * (x \ 0)))) = C * (C * (C * (x \ 0))). [para(17319(a,1),12(a,1,1)),rewrite([25(8),13(16,R),52(19)]),flip

(a)].

17637 (x \ 0) * (x * (C * C)) = C * C. [para(17319(a,1),27(a,1,2,2)),rewrite([5(11),17319(14)])].

17686 C * (C * (0 / x)) = C / (x / C). [para(24(a,1),17624(a,1,2,1)),rewrite([13(9,R)]),flip(a)].

17699 C * ((C * x) \ C) = (x / C) \ 0. [para(17625(a,1),8(a,1,1)),rewrite([1041(6)])].

17701 ((x / C) \ 0) * (C * (x * (C * ((x / C) \ 0)))) = C * (C * (C * ((x / C) \ 0))). [para(17625(a,1),12(a,1,1)),rewrite([25(10),13(18,R),

52(23)]),flip(a)].

17702 ((x / C) \ 0) * (x * C) = C * C. [para(13(a,1),17625(a,1,2))].

17709 C * (C * ((x / C) \ 0)) = (C * (C * C)) / x. [para(17625(a,1),29(a,1,1,2)),rewrite([13(13,R)]),flip(a)].

17713 ((C * (C * C)) / x) / C = C * ((x / C) \ 0). [para(17625(a,1),35(a,1,1)),rewrite([13(11,R),52(16),17701(17),17709(12),410(12),7(11),79

(8)])].

17716 C * ((x * C) \ C) = (x / C) \ 0. [para(17625(a,1),836(a,1,1)),rewrite([1041(6)])].

17726 (((x / C) \ 0) * ((C * x) * y)) \ (C * (C * y)) = a((x / C) \ 0,C * x,y). [para(17625(a,1),64(a,1,2,1)),rewrite([25(12)])].

18037 x * ((x \ 0) * x) = x. [para(17637(a,1),29(a,1,1,2)),rewrite([8(8)]),flip(a)].

18038 C * (((x \ 0) \ (x * (C * C))) \ C) = (x \ 0) * (x \ 0). [para(17637(a,1),150(a,1,1)),rewrite([1041(11)])].

18068 (x \ 0) * x = 0. [para(18037(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

18073 x \ 0 = 0 / x. [para(18037(a,1),29(a,1,1,2)),rewrite([18068(3),6(7),5(6)]),flip(a)].

18111 C * (((0 / x) \ (x * (C * C))) \ C) = (0 / x) / x. [back_rewrite(18038),rewrite([18073(3),18073(13),18073(15),444(16)])].

18208 ((0 / (x / C)) * ((C * x) * y)) \ (C * (C * y)) = a(0 / (x / C),C * x,y). [back_rewrite(17726),rewrite([18073(4),18073(17)])].

18218 C * ((x * C) \ C) = 0 / (x / C). [back_rewrite(17716),rewrite([18073(10)])].

18221 ((C * (C * C)) / x) / C = C * (0 / (x / C)). [back_rewrite(17713),rewrite([18073(13)])].

18225 (C * (C * C)) / x = C / (x / (C * C)). [back_rewrite(17709),rewrite([18073(6),17686(8),914(5)]),flip(a)].

18231 (0 / (x / C)) * (x * C) = C * C. [back_rewrite(17702),rewrite([18073(4)])].

18233 C * ((C * x) \ C) = 0 / (x / C). [back_rewrite(17699),rewrite([18073(10)])].

18289 (0 / x) * (x * (C * C)) = C * C. [back_rewrite(17637),rewrite([18073(2)])].

18297 (0 / x) * (C * ((x * C) * (C * (0 / x)))) = C * (C / (x / C)). [back_rewrite(17628),rewrite([18073(2),18073(8),18073(17),17686(19)])].

18446 ((C * (0 / x)) * (C * x)) / (x * x) = (0 / x) * (C / (x / C)). [back_rewrite(6333),rewrite([18073(3),18073(11),18073(15),17686(17)])].

18456 (C * (0 / x)) \ (C * x) = x * x. [back_rewrite(6322),rewrite([18073(3)])].

18479 (C / (x / (C * C))) / C = C * (0 / (x / C)). [back_rewrite(18221),rewrite([18225(6)])].

18489 x * (0 / x) = 0. [para(18073(a,1),6(a,1,2))].

18492 (x * C) * (0 / (C * x)) = 0. [para(18073(a,1),101(a,1,2))].

18493 (C * x) * (0 / (x * C)) = 0. [para(18073(a,1),102(a,1,2))].

18494 x * ((C * (0 / x)) * x) = C * x. [para(18073(a,1),33(a,1,2,1,2)),rewrite([4(10)])].

18495 x \ (0 / x) = 0 / (x * x). [para(18073(a,1),410(a,1)),rewrite([18073(5)]),flip(a)].

18521 (x * y) / (0 / x) = x * (y * x). [para(18489(a,1),29(a,1,1,2,2)),rewrite([5(2)])].

18522 (x * y) * (0 / x) = x * (y / x). [para(18489(a,1),30(a,1,2,2)),rewrite([5(3)]),flip(a)].

18531 (x * ((0 / x) * y)) \ y = a(x,0 / x,y). [para(18489(a,1),64(a,1,2,1)),rewrite([4(6)])].

18543 (0 / x) * (x * (x * ((0 / x) * y))) = y. [para(18489(a,1),86(a,1,1,2,2)),rewrite([5(4),9(3),4(2)]),flip(a)].

18633 (0 / x) * (C / (x / C)) = C * (C * ((0 / x) / x)). [para(444(a,1),251(a,2,2,2)),rewrite([13(7,R),17686(8),2660(15),5(9)])].

18659 ((C * (0 / x)) * (C * x)) / (x * x) = C * (C * ((0 / x) / x)). [back_rewrite(18446),rewrite([18633(16)])].

18666 ((x * C) * y) / (0 / (C * x)) = C * ((C * x) * (y * x)). [para(18492(a,1),29(a,1,1,2,2)),rewrite([5(4),13538(14)])].

18716 ((C * x) * y) / (0 / (x * C)) = C * ((x * C) * (y * x)). [para(18493(a,1),29(a,1,1,2,2)),rewrite([5(4),13537(14)])].

18747 x * (0 / (x * x)) = 0 / x. [para(18495(a,1),6(a,1,2))].

18786 (x * ((0 / (x * x)) * y)) \ ((0 / x) * y) = a(x,0 / (x * x),y). [para(18747(a,1),64(a,1,2,1))].

18843 (C * (C * (x * x))) \ y = (x * (x * (C * C))) \ y. [para(254(a,1),291(a,1,1)),rewrite([13(11,R)]),flip(a)].

18994 C * ((0 / x) * (C * y)) = (C / (x / C)) * y. [para(17686(a,1),30(a,2,1)),rewrite([48(7)])].

18998 (C / (x / C)) / ((C * (0 / x)) \ C) = C * (C * ((0 / x) / x)). [para(17686(a,1),429(a,1,1)),rewrite([57(20),17686(19),18633(18)])].

19043 (C / (x / C)) \ (C * (C * ((0 / x) / x))) = 0 / x. [para(17686(a,1),12380(a,1,1)),rewrite([57(13),17686(12),18633(11),48(18)])].

19083 (0 / (x / C)) / C = (x * C) \ C. [para(18218(a,1),7(a,1,2)),rewrite([79(6)])].

19085 0 / (x / (C * C)) = C * (x \ C). [para(9(a,1),18218(a,1,2,1)),rewrite([914(9)]),flip(a)].

19090 ((x * C) \ C) \ (0 / (x / C)) = C. [para(18218(a,1),46(a,1,2))].

19093 C * (((x * C) \ C) * ((x * C) \ C)) = ((x * C) \ C) * (0 / (x / C)). [para(18218(a,1),93(a,2,2))].

19103 (((x * C) \ C) / C) * (0 / (x / C)) = ((x * C) \ C) * ((x * C) \ C). [para(18218(a,1),752(a,1,2))].

19104 (0 / (x / C)) / (C * C) = ((x * C) \ C) / C. [para(18218(a,1),936(a,1,1))].

19108 ((x * C) \ C) * (0 / (x / C)) = (0 / (x / C)) * ((x * C) \ C). [para(18218(a,1),1099(a,1,1)),rewrite([19093(20)]),flip(a)].

19147 (0 / (x / C)) \ ((x * C) \ C) = 0 / C. [para(18218(a,1),11276(a,1,1))].

19150 ((x * C) \ C) / (0 / (x / C)) = 0 / C. [para(18218(a,1),13023(a,1,2))].

19170 C * (((x * C) \ C) * ((x * C) \ C)) = (0 / (x / C)) * ((x * C) \ C). [back_rewrite(19093),rewrite([19108(20)])].

19294 (0 / (x / C)) / (((C * x) \ C) \ C) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),429(a,1,1))].

19297 (((C * x) \ C) / C) * (0 / (x / C)) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),752(a,1,2))].

19301 (((C * x) \ C) * ((C * x) \ C)) / (0 / (x / C)) = ((C * x) \ C) / C. [para(18233(a,1),1097(a,1,2))].

19361 C * ((x * (x * (C * C))) \ C) = 0 / (x * x). [para(244(a,1),18233(a,1,2,1)),rewrite([11273(15),49(14)])].

19477 (C * (0 / ((x * C) \ C))) \ (0 / (x / C)) = ((x * C) \ C) * ((x * C) \ C). [para(18218(a,1),18456(a,1,2))].

19478 (C * (0 / ((C * x) \ C))) \ (0 / (x / C)) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),18456(a,1,2))].

19565 (C * (0 / x)) * x = C. [para(18494(a,1),7(a,1,2)),rewrite([46(3)]),flip(a)].

19566 x * ((C * (0 / x)) * (x * y)) = (C * x) * y. [para(18494(a,1),10(a,1,1)),flip(a)].

19567 (C * (0 / x)) * (C * x) = (C / (x / C)) * x. [para(18494(a,1),10(a,2,2)),rewrite([13537(10),13(5,R),18489(8),5(7),17686(6)]),flip(a)].

19570 x * ((C * (0 / x)) * ((C * x) * y)) = x * ((C / (x / C)) * (x * y)). [para(18494(a,1),31(a,1,1,2,2)),rewrite([19567(7),10(7),19566(18)

]),flip(a)].

19587 (C * (0 / x)) * (x * C) = (C / (x / C)) * x. [para(18494(a,1),107(a,1,2)),rewrite([19567(7),13(13,R),19565(14)]),flip(a)].

19600 ((C / (x / C)) * x) / (x * x) = C * (C * ((0 / x) / x)). [back_rewrite(18659),rewrite([19567(7)])].

19610 C * (0 / x) = C / x. [para(19565(a,1),8(a,1,1)),flip(a)].

19611 (C * x) * (0 / x) = C. [para(23(a,1),19565(a,1,1,2)),rewrite([18073(4)])].

19612 (C / x) * (C * (y / (C / x))) = ((C / x) * y) * x. [para(19565(a,1),30(a,1,2,2)),rewrite([19610(4),19610(6),13(7,R),19610(12)])].

19619 C * (C * ((0 / x) / x)) = (C / (x / C)) / x. [back_rewrite(18998),rewrite([19610(8),24(8)]),flip(a)].

19622 (C / (x / C)) * x = (C / x) * (x * C). [back_rewrite(19587),rewrite([19610(4)]),flip(a)].

19633 x * ((C / (x / C)) * (x * y)) = x * ((C / x) * ((C * x) * y)). [back_rewrite(19570),rewrite([19610(4)]),flip(a)].

19638 ((C * x) \ C) * ((C * x) \ C) = (C * x) \ (0 / (x / C)). [back_rewrite(19478),rewrite([19610(8),23(6)]),flip(a)].

19639 ((x * C) \ C) * ((x * C) \ C) = (x * C) \ (0 / (x / C)). [back_rewrite(19477),rewrite([19610(8),23(6)]),flip(a)].

19770 (C / (x / (C * C))) / C = C / (x / C). [back_rewrite(18479),rewrite([19610(14)])].

19880 (0 / x) * (C * (C * C)) = C * (C / (x / C)). [back_rewrite(18297),rewrite([19610(9),1611(8)])].

19891 C / (x / C) = C * (C / x). [back_rewrite(17686),rewrite([19610(5)]),flip(a)].

19893 C * ((0 / x) * ((0 / x) / x)) = (C / x) * ((0 / x) / x). [back_rewrite(12750),rewrite([19610(4)]),flip(a)].

19899 C / (x * (C * x)) = (0 / x) / x. [back_rewrite(7984),rewrite([19610(6),2076(5)])].

19900 ((0 / x) / x) * (C / x) = (C / x) * ((0 / x) / x). [back_rewrite(5232),rewrite([19610(7),19893(14)])].

19904 (C * ((0 / x) / x)) / (0 / x) = C / x. [back_rewrite(5204),rewrite([19610(12)])].

19905 ((0 / x) / x) / (C / x) = (0 / x) / C. [back_rewrite(5203),rewrite([19610(7)])].

19909 (0 / x) \ (C * ((0 / x) / x)) = C / x. [back_rewrite(5194),rewrite([19610(12)])].

19910 ((C * (C / x)) * x) / (x * x) = (C / x) * (C / x). [back_rewrite(19600),rewrite([19891(4),19619(14),19891(11),770(12)])].

19913 (C / x) / C = 0 / x. [back_rewrite(19043),rewrite([19891(4),19619(11),19891(8),770(9),12380(10)])].

19935 ((C * x) \ (0 / (x / C))) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(19301),rewrite([19638(9)])].

19936 (((C * x) \ C) / C) * (0 / (x / C)) = (C * x) \ (0 / (x / C)). [back_rewrite(19297),rewrite([19638(20)])].

19937 (0 / (x / C)) / (((C * x) \ C) \ C) = (C * x) \ (0 / (x / C)). [back_rewrite(19294),rewrite([19638(20)])].

19938 (0 / (x / C)) * ((x * C) \ C) = C * ((x * C) \ (0 / (x / C))). [back_rewrite(19170),rewrite([19639(10)]),flip(a)].

19943 (((x * C) \ C) / C) * (0 / (x / C)) = (x * C) \ (0 / (x / C)). [back_rewrite(19103),rewrite([19639(20)])].

19963 (0 / x) * (C * (C * C)) = C * (C * (C / x)). [back_rewrite(19880),rewrite([19891(13)])].

19967 C * (x \ C) = C * (C / x). [back_rewrite(19770),rewrite([19913(8),19085(6),19891(8)])].

19997 x * ((C * (C / x)) * (x * y)) = x * ((C / x) * ((C * x) * y)). [back_rewrite(19633),rewrite([19891(4)])].

20001 (C * (C / x)) * x = (C / x) * (x * C). [back_rewrite(19622),rewrite([19891(4)])].

20025 C * ((0 / x) * (C * y)) = (C * (C / x)) * y. [back_rewrite(18994),rewrite([19891(11)])].

20075 x \ (C * C) = C * (C / x). [back_rewrite(2075),rewrite([19891(8)])].

20076 x * (C * (C / x)) = C * C. [back_rewrite(1607),rewrite([19891(4)])].

20079 (C * ((0 / x) / x)) * (0 / x) = (C / x) * ((0 / x) / x). [back_rewrite(5230),rewrite([19893(16)])].

20087 (C * x) \ (C / x) = (0 / x) / x. [back_rewrite(2076),rewrite([19899(10)])].

20116 C * (C / (x * (x * (C * C)))) = 0 / (x * x). [back_rewrite(19361),rewrite([19967(9)])].

20136 C * (C / (C * x)) = 0 / (x / C). [back_rewrite(18233),rewrite([19967(6)])].

20140 C * (C / ((0 / x) \ (x * (C * C)))) = (0 / x) / x. [back_rewrite(18111),rewrite([19967(11)])].

20196 (C * C) / x = C * (C / x). [back_rewrite(1041),rewrite([19967(8)])].

20197 (C / x) * (x * C) = C * C. [back_rewrite(650),rewrite([19967(4),20001(5)])].

20211 (C / x) * (C / x) = C * (C / (x * x)). [back_rewrite(19910),rewrite([20001(5),20197(5),20196(5)]),flip(a)].

20230 C * (x * (C / x)) = C * C. [back_rewrite(2149),rewrite([20136(11),48(8),18522(6)])].

20269 (C * (C / x)) / x = C * (C / (x * x)). [back_rewrite(770),rewrite([20211(10)])].

20301 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(6(a,1),260(a,1,2,2))].

20305 (x * (y * (x * (z * (x * (y * x)))))) \ (x * (y * (x * (z * u)))) = (x * (y * x)) \ u. [para(10(a,1),260(a,1,1)),rewrite([10(10)])].

20362 x \ (0 / (y / C)) = x \ (C / y). [para(1045(a,1),260(a,1,2,2)),rewrite([20301(9),20075(6),20136(6)])].

20445 (a(C,x \ C,x) * ((x \ C) * a(C,x \ C,x))) \ C = a(C,x \ C,x) \ x. [para(8305(a,1),260(a,1,2))].

20447 (a(C,x,C / x) * (x * a(C,x,C / x))) \ C = a(C,x,C / x) \ (C / x). [para(8316(a,1),260(a,1,2))].

20460 (0 / x) \ y = x * y. [para(18489(a,1),260(a,1,1,2)),rewrite([5(4),7(7)]),flip(a)].

20470 (C * (C * (x * (C * C)))) \ (C * (x * (C * ((0 / x) * y)))) = (x * (C * C)) \ y. [para(18289(a,1),260(a,1,1,2)),rewrite([99(8,R),13(7,

R),242(16)])].

20478 x \ (C * (C * y)) = x \ (y * (C * C)). [para(259(a,1),260(a,1,2,2)),rewrite([20301(13),356(10)])].

20495 (((x * C) \ C) / C) * (0 / (x / C)) = (x * C) \ (C / x). [back_rewrite(19943),rewrite([20362(18)])].

20500 (0 / (x / C)) * ((x * C) \ C) = C * ((x * C) \ (C / x)). [back_rewrite(19938),rewrite([20362(17)])].

20501 (0 / (x / C)) / (((C * x) \ C) \ C) = (0 / x) / x. [back_rewrite(19937),rewrite([20362(18),20087(16)])].

20502 (((C * x) \ C) / C) * (0 / (x / C)) = (0 / x) / x. [back_rewrite(19936),rewrite([20362(18),20087(16)])].

20503 ((0 / x) / x) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(19935),rewrite([20362(7),20087(5)])].

20513 ((x * C) \ C) \ (C / x) = C. [back_rewrite(19090),rewrite([20362(9)])].

20516 (0 / x) / x = 0 / (x * x). [back_rewrite(20140),rewrite([20460(9),20116(9)]),flip(a)].

20518 x * (C / (x * x)) = C / x. [back_rewrite(19909),rewrite([20516(6),19610(7),20460(6)])].

20522 (x / C) * ((x * C) \ C) = 0 / C. [back_rewrite(19147),rewrite([20460(9)])].

20562 (0 / (x * x)) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(20503),rewrite([20516(3)])].

20563 (((C * x) \ C) / C) * (0 / (x / C)) = 0 / (x * x). [back_rewrite(20502),rewrite([20516(14)])].

20564 (0 / (x / C)) / (((C * x) \ C) \ C) = 0 / (x * x). [back_rewrite(20501),rewrite([20516(14)])].

20579 (C * x) \ (C / x) = 0 / (x * x). [back_rewrite(20087),rewrite([20516(8)])].

20585 (C / (x * x)) * (0 / x) = (C / x) * (0 / (x * x)). [back_rewrite(20079),rewrite([20516(4),19610(5),20516(11)])].

20607 (0 / (x * x)) / (C / x) = (0 / x) / C. [back_rewrite(19905),rewrite([20516(3)])].

20608 (C / (x * x)) / (0 / x) = C / x. [back_rewrite(19904),rewrite([20516(4),19610(5)])].

20612 (0 / (x * x)) * (C / x) = (C / x) * (0 / (x * x)). [back_rewrite(19900),rewrite([20516(3),20516(11)])].

20613 C / (x * (C * x)) = 0 / (x * x). [back_rewrite(19899),rewrite([20516(8)])].

20619 C * ((0 / x) * (0 / (x * x))) = (C / x) * (0 / (x * x)). [back_rewrite(19893),rewrite([20516(6),20516(13)])].

20651 (x * (y * (x * (0 / (z * z))))) * a(x * (y * x),0 / z,0 / z) = (x * (y * (x * (0 / z)))) * (0 / z). [back_rewrite(5223),rewrite([20516

(3)])].

20654 (x * (0 / (y * y))) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [back_rewrite(5217),rewrite([20516(3)])].

20656 (0 / x) * ((0 / x) / C) = (0 / (x * x)) / C. [back_rewrite(5213),rewrite([20516(10)])].

20817 a(C,x,C / x) * a(C,x,C / x) = a(C,x,C / x). [para(8316(a,1),265(a,1,1,2,2)),rewrite([13(15,R),20230(15),25(18),20301(21),79(16),11301(

16),49(14),93(12,R),7(13)])].

20838 0 / (x / C) = C / x. [para(18231(a,1),265(a,1,1,2,2)),rewrite([13(16,R),10(21),19610(19),19891(17),20076(18),19963(18),19891(14),756(1

8),7(15),7(12),7(9),7(6)]),flip(a)].

20845 C / (a(C,x,C / x) \ (x * (C / x))) = a(C,x,C / x). [back_rewrite(16000),rewrite([20817(19)])].

20851 (C / x) / (((C * x) \ C) \ C) = 0 / (x * x). [back_rewrite(20564),rewrite([20838(4)])].

20852 (((C * x) \ C) / C) * (C / x) = 0 / (x * x). [back_rewrite(20563),rewrite([20838(10)])].

20853 ((C * x) \ C) / C = (0 / x) / C. [back_rewrite(20562),rewrite([20838(7),20607(6)]),flip(a)].

20857 (C / x) * ((x * C) \ C) = C * ((x * C) \ (C / x)). [back_rewrite(20500),rewrite([20838(4)])].

20860 (((x * C) \ C) / C) * (C / x) = (x * C) \ (C / x). [back_rewrite(20495),rewrite([20838(10)])].

20924 ((x * C) \ C) / (C / x) = 0 / C. [back_rewrite(19150),rewrite([20838(8)])].

20948 ((x * C) \ C) / C = (C / x) / (C * C). [back_rewrite(19104),rewrite([20838(4)]),flip(a)].

20955 (x * C) \ C = 0 / x. [back_rewrite(19083),rewrite([20838(4),19913(4)]),flip(a)].

20962 ((C / x) * ((C * x) * y)) \ (C * (C * y)) = a(C / x,C * x,y). [back_rewrite(18208),rewrite([20838(4),20838(15)])].

20979 ((0 / x) / C) * (C / x) = 0 / (x * x). [back_rewrite(20852),rewrite([20853(6)])].

20988 (x * C) \ (C / x) = 0 / (x * x). [back_rewrite(20860),rewrite([20955(4),20979(7)]),flip(a)].

20999 (C / x) / (C * C) = (0 / x) / C. [back_rewrite(20948),rewrite([20955(4)]),flip(a)].

21020 (0 / x) / (C / x) = 0 / C. [back_rewrite(20924),rewrite([20955(4)])].

21023 (C / x) * (0 / x) = C / (x * x). [back_rewrite(20857),rewrite([20955(6),20988(11),19610(10)])].

21026 (x / C) * (0 / x) = 0 / C. [back_rewrite(20522),rewrite([20955(6)])].

21027 x * (C / x) = C. [back_rewrite(20513),rewrite([20955(4),20460(5)])].

21046 a(C,x,C / x) = 0. [back_rewrite(20845),rewrite([21027(8),8318(7),21027(4),21(3)]),flip(a)].

21066 x \ C = C / x. [back_rewrite(20447),rewrite([21046(4),21046(5),5(3),4(2),21046(6),19(6)])].

21090 C / (x * C) = 0 / x. [back_rewrite(20955),rewrite([21066(4)])].

21120 (0 / x) / C = 0 / (C * x). [back_rewrite(20853),rewrite([21066(4),19913(6)]),flip(a)].

21121 (C / x) / (C / (C / (C * x))) = 0 / (x * x). [back_rewrite(20851),rewrite([21066(6),21066(8)])].

21137 C / (a(C,C / x,x) * ((C / x) * a(C,C / x,x))) = a(C,C / x,x) \ x. [back_rewrite(20445),rewrite([21066(3),21066(6),21066(9),21066(14),2

1066(17)])].

21236 x \ (C / x) = C / (x * x). [back_rewrite(12239),rewrite([21066(2),21066(4),19913(6),21023(5),21066(5)]),flip(a)].

21253 a(C,C / x,x) = 0. [back_rewrite(2721),rewrite([21066(3),9(4),21(3),21066(4)]),flip(a)].

21286 (C / x) / (C * C) = 0 / (C * x). [back_rewrite(20999),rewrite([21120(10)])].

21295 (0 / x) * (0 / (C * x)) = 0 / (C * (x * x)). [back_rewrite(20656),rewrite([21120(6),21120(12)])].

21348 C / (C / x) = x. [back_rewrite(21137),rewrite([21253(5),21253(8),5(6),4(5),21253(8),19(6)])].

21394 (C / x) / (C * x) = 0 / (x * x). [back_rewrite(21121),rewrite([21348(8)])].

21415 C / (C * x) = 0 / x. [para(21027(a,1),103(a,1,2)),rewrite([21066(4),21090(8)])].

21417 (x * y) * (C / x) = x * (C * (y / x)). [para(21027(a,1),30(a,1,2,2)),rewrite([13(3,R)]),flip(a)].

21421 (x * C) \ ((x * y) * (C / y)) = a(x,y,C / y). [para(21027(a,1),64(a,1,1,2))].

21422 (x * ((C / x) * y)) \ (C * y) = a(x,C / x,y). [para(21027(a,1),64(a,1,2,1))].

21512 C * (x * (C * ((C * x) \ y))) = (C * x) * ((0 / x) * y). [back_rewrite(2537),rewrite([21415(6)]),flip(a)].

21514 C * (x * ((C * x) * ((0 / x) * y))) = (x * C) * (C * y). [back_rewrite(1363),rewrite([21512(9)])].

21639 (0 / x) * (x * y) = y. [para(18492(a,1),292(a,1,2,1,2,2)),rewrite([13(12,R),19610(12),21415(10),18522(9),21027(7),13(6,R),19610(6),214

15(4),5(9),19610(8),21415(6),20460(5)])].

21646 x * ((0 / x) * y) = y. [back_rewrite(18543),rewrite([21639(8)])].

21670 a(x,0 / x,y) = 0. [back_rewrite(18531),rewrite([21646(4),20(1)]),flip(a)].

21679 a(0 / x,x,y) = 0. [para(23(a,1),21670(a,1,2)),rewrite([18073(2)])].

21690 (0 / x) * y = x \ y. [para(21679(a,1),63(a,1,2)),rewrite([5(5),9(6),4(6)])].

21697 C * (x * (x * ((C / x) * y))) = (x * C) * (C * y). [back_rewrite(21514),rewrite([21690(6),2505(5)])].

21699 C * (x * (C * ((C * x) \ y))) = x * ((C / x) * y). [back_rewrite(21512),rewrite([21690(13),2505(12)])].

21709 x \ (0 / (C * x)) = 0 / (C * (x * x)). [back_rewrite(21295),rewrite([21690(7)])].

21736 (C / x) * (0 / (x * x)) = C * (x \ (0 / (x * x))). [back_rewrite(20619),rewrite([21690(7)]),flip(a)].

21738 C * (x \ (0 / (x * x))) = x \ (C / (x * x)). [back_rewrite(20612),rewrite([21690(6),410(4),21236(3),21736(10)]),flip(a)].

21743 (C * (C * (x * (C * C)))) \ (C * (x * (C * (x \ y)))) = (x * (C * C)) \ y. [back_rewrite(20470),rewrite([21690(13)])].

21744 (C * (C / x)) * y = C * (x \ (C * y)). [back_rewrite(20025),rewrite([21690(6)]),flip(a)].

21754 a(x,0 / (x * x),y) = 0. [back_rewrite(18786),rewrite([21690(4),410(2),6(3),21690(4),20(3)]),flip(a)].

21792 a(0 / (x * y),x,y) = ((x * y) \ x) * y. [back_rewrite(3037),rewrite([21690(4)]),flip(a)].

21833 (C / (x * x)) * (0 / x) = x \ (C / (x * x)). [back_rewrite(20585),rewrite([21736(12),21738(12)])].

21889 x * ((C / x) * ((C * x) * y)) = x * (C * (x \ (C * (x * y)))). [back_rewrite(19997),rewrite([21744(6)]),flip(a)].

21929 ((C * x) * (y * C)) / (0 / x) = C * ((x * C) * (y * x)). [para(19611(a,1),29(a,1,1,2,2)),rewrite([13537(14)])].

21939 (x * C) \ ((x * (C * y)) * (0 / y)) = a(x,C * y,0 / y). [para(19611(a,1),64(a,1,1,2))].

22047 0 / (C / x) = x / C. [para(23(a,1),19913(a,1,1)),rewrite([21066(5)]),flip(a)].

22048 (0 / x) / (0 / (C * x)) = C. [para(19913(a,1),915(a,1,1)),rewrite([21286(8)])].

22058 x * (0 / (C * x)) = 0 / C. [para(19913(a,1),11408(a,1,1)),rewrite([21286(8),20460(7)])].

22059 (0 / (C * x)) / (0 / x) = 0 / C. [para(19913(a,1),13484(a,1,2)),rewrite([21286(6)])].

22062 x / (y * x) = 0 / y. [para(20460(a,1),23(a,1,2))].

22063 (x \ y) / (x * y) = 0 / (x * x). [para(20460(a,1),150(a,1,2)),rewrite([21690(3),21690(8),18495(6)])].

22064 x / (y * (y * x)) = 0 / (y * y). [para(20460(a,1),417(a,1,2,2)),rewrite([20460(4),21690(8),18495(6)])].

22129 C * (C * (x * ((C * x) \ y))) = (C / x) * (x * y). [para(295(a,1),7(a,1,2)),rewrite([372(4)]),flip(a)].

22131 x * (C * (x \ (C * (x * y)))) = C * (x * (C * y)). [para(295(a,1),76(a,1)),rewrite([13(4,R),52(5),22129(19),21415(11),21690(13),371(12

),21889(12)]),flip(a)].

22173 x * ((C / x) * ((C * x) * y)) = C * (x * (C * y)). [back_rewrite(21889),rewrite([22131(14)])].

22209 (x \ y) / y = 0 / x. [para(21690(a,1),8(a,1,1))].

22211 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(21690(a,1),10(a,1,1)),rewrite([21690(10),21690(10)])].

22214 (x \ (x \ y)) / y = 0 / (x * x). [para(21690(a,1),85(a,1,1,2)),rewrite([21690(4),21690(8),18495(6)])].

22228 (C * x) \ (0 / x) = 0 / (C * (x * x)). [para(21690(a,1),1803(a,2)),rewrite([21120(4),21690(7),21120(9),21709(10)])].

22278 x \ (0 / C) = 0 / (C * x). [para(21690(a,1),10200(a,1)),rewrite([21120(8)])].

22307 (x / C) \ y = (C / x) * y. [para(20838(a,1),21690(a,1,1)),flip(a)].

22353 (C / (x * y)) * ((x / C) * y) = a(0 / C,x,y). [back_rewrite(13233),rewrite([22307(7)])].

22357 0 / (C * (C / x)) = x / (C * C). [para(914(a,1),22047(a,2)),rewrite([19891(5)])].

22359 (C / x) * (x * (x / (C * C))) = x / C. [para(22047(a,1),18747(a,2)),rewrite([20211(8),22357(9),4279(7)])].

22397 0 / (x / y) = y / x. [para(9(a,1),22062(a,1,2)),flip(a)].

22398 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(10(a,1),22062(a,1,2))].

22403 x / (y * (z * (u * (z * (y * x))))) = 0 / (y * (z * (u * (z * y)))). [para(31(a,1),22062(a,1,2))].

22406 (C * x) / (y * (x * C)) = 0 / y. [para(565(a,1),22062(a,1,2))].

22420 a(x,y,C) / (C * (x * y)) = 0 / (x * (C * y)). [para(77(a,1),22062(a,1,2))].

22421 x / (y * (z * (z * (y * x)))) = 0 / (y * (z * (z * y))). [para(86(a,1),22062(a,1,2))].

22500 (0 / (C * C)) / x = 0 / (C * (x * C)). [para(15143(a,1),22209(a,1,1))].

22566 (x / y) * (y / x) = 0. [para(22397(a,1),9(a,1,1))].

22581 a(x / y,y / x,z) = 0. [para(22397(a,1),21670(a,1,2))].

22582 C / (x / y) = C * (y / x). [para(22397(a,1),19610(a,1,2)),flip(a)].

22584 (x / y) \ z = (y / x) * z. [para(22397(a,1),20460(a,1,1))].

22594 C * ((x * y) \ (x * (y / C))) = a(0 / (C * C),x,y). [back_rewrite(14280),rewrite([22584(11),20196(5),21744(11),14703(9)])].

22602 (x / y) * ((y / x) * z) = z. [para(22566(a,1),15(a,2,1)),rewrite([22581(7),5(6),4(6)])].

22604 ((x / y) * z) * (y / x) = (x / y) * (z / (x / y)). [para(22566(a,1),30(a,1,2,2)),rewrite([5(5)]),flip(a)].

22668 (C * x) \ ((x * (C * y)) * (0 / y)) = a(x,C * y,0 / y). [para(302(a,1),103(a,1,2)),rewrite([21066(9),22062(9),21066(15),22062(15)])].

23094 (x * y) / (x \ z) = x * ((y / z) * x). [para(9(a,1),317(a,1,1,2))].

23175 (x \ y) / (x * (x * y)) = x \ (0 / (x * x)). [para(18747(a,1),317(a,2,2)),rewrite([21690(5),410(3),7(2),22584(5),22(4),25(3),21690(10)

,410(8),18495(7)])].

23187 (x \ y) / (x * (z * y)) = 0 / (x * (z * x)). [para(317(a,1),22397(a,1,2)),flip(a)].

23195 x \ (0 / (x * x)) = 0 / (x * (x * x)). [back_rewrite(23175),rewrite([23187(4)]),flip(a)].

23196 x \ (C / (x * x)) = C / (x * (x * x)). [back_rewrite(21738),rewrite([23195(5),19610(6)]),flip(a)].

23207 (C / (x * x)) * (0 / x) = C / (x * (x * x)). [back_rewrite(21833),rewrite([23196(10)])].

23244 x \ (y * (0 / x)) = (x \ y) / x. [para(5(a,1),318(a,1,1,2)),rewrite([21690(3),21690(8)]),flip(a)].

23390 (C / x) / x = C / (x * x). [para(19610(a,1),318(a,2,2)),rewrite([5(5),13(4,R),19610(4),21690(8),21236(6)])].

23406 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(22211),rewrite([23244(4)]),flip(a)].

23456 a(0 / x,x * x,y) = 0. [para(21690(a,1),21754(a,1,2,2)),rewrite([18495(6),22397(7),22(5)])].

23462 x * ((x * y) \ x) = x / y. [para(5(a,1),319(a,2,1)),rewrite([21690(4)])].

23463 x \ ((x * y) / z) = (y / (x * z)) * x. [para(319(a,1),7(a,1,2))].

23492 ((x * C) * y) / ((C * x) \ z) = C * ((C * x) * ((y / z) * x)). [para(101(a,1),319(a,1,2,1,2)),rewrite([13538(7)]),flip(a)].

23516 ((C * x) / y) / (C * C) = x / (C * y). [para(319(a,1),936(a,1,1)),rewrite([13(12,R),48(14)])].

23519 ((C * x) * y) / (C / x) = C * ((x / C) * (y * x)). [para(1045(a,1),319(a,1,2,1,2)),rewrite([13024(9),388(6)]),flip(a)].

23649 C * (C * (x / (C / y))) = (C * x) / (0 / y). [para(19610(a,1),319(a,1,2,1,2)),rewrite([13(6,R)])].

23964 a(x / y,(y / x) * (y / x),z) = 0. [para(22397(a,1),23456(a,1,1))].

24017 ((x * (0 / (C * y))) / C) / (0 / y) = x / (C * C). [para(18492(a,1),322(a,1,1,2,2,2)),rewrite([21690(5),11276(3),5(9),21690(9),79(7),1

9610(13),21415(11),21690(15),11276(13),21690(18),11276(16),10200(17),21690(16),79(14),914(14)])].

24085 (C * (x * (y * x))) / x = C * (C * (x * (y / C))). [para(9(a,1),323(a,1,1,2,2,1))].

24088 (C * (x * ((C * y) * x))) / x = C * (C * (x * y)). [para(13(a,2),323(a,1,1,2,2,1))].

24403 ((x / y) / C) * (y / x) = 0 / C. [para(22397(a,1),21026(a,1,2))].

24547 (x * C) * (y * (y * (x * C))) = C * ((C * x) * (y * (y * x))). [para(101(a,1),327(a,1,1,2,2,2)),rewrite([23492(9),85(6),25(5)]),flip(a

)].

24555 (x * C) * (y * (y * (C * x))) = C * ((C * x) * (y * (y * x))). [para(565(a,2),327(a,2,2,2)),rewrite([327(9),24547(7)]),flip(a)].

24893 (x * y) * (0 / (C * x)) = x * ((y / x) / C). [para(22058(a,1),30(a,1,2,2)),rewrite([10200(5)]),flip(a)].

25189 ((x / y) / C) * ((C * (y / x)) * z) = z. [para(22582(a,1),22602(a,1,2,1))].

25274 x / (x \ y) = x * (y \ x). [para(6(a,1),23462(a,1,2,1)),flip(a)].

25275 (x * y) \ x = x \ (x / y). [para(23462(a,1),7(a,1,2)),flip(a)].

25276 (x / y) * (x \ (x / y)) = (x / y) / y. [para(9(a,1),23462(a,1,2,1))].

25300 (x * y) / (x * C) = x * ((y / x) / C). [para(56(a,1),23462(a,1,2,1)),rewrite([20301(7),25275(4),11271(4),22278(5),24893(6)]),flip(a)].

25352 a(0 / (x * y),x,y) = (x \ (x / y)) * y. [back_rewrite(21792),rewrite([25275(6)])].

25565 x \ (y \ (0 / x)) = (0 / x) / (x * y). [para(21690(a,1),25274(a,2)),rewrite([22584(5),22(4)]),flip(a)].

25597 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(15(a,1),25275(a,1,1)),flip(a)].

25601 ((C * x) * y) \ (x * C) = (x * C) \ ((x * C) / y). [para(76(a,2),25275(a,1,1))].

25631 (x * (y * C)) \ ((x * (y * C)) / a(x,C,y)) = ((x * C) * y) \ (x * (y * C)). [para(75(a,1),25275(a,1,1)),flip(a)].

25632 (x * (C * y)) \ ((x * (C * y)) / a(x,y,C)) = (C * (x * y)) \ (x * (C * y)). [para(77(a,1),25275(a,1,1)),flip(a)].

25666 (x \ (x / y)) / x = 0 / (x * y). [para(25275(a,1),22209(a,1,1))].

26405 (x * (C * y)) * (y \ z) = y * ((C * (y \ x)) * z). [para(33(a,1),371(a,1,1)),rewrite([8(10)])].

26416 C * ((x / (C * (C * C))) * y) = (x / C) * (y / C). [para(644(a,1),371(a,1,1)),rewrite([79(4),14402(12)]),flip(a)].

26480 x * (C * (C * (C * (x * ((x * (C * C)) \ y))))) = C * (x * y). [para(13479(a,1),371(a,2,2,1)),rewrite([56(7),13(5,R),50(6),31(13),2169

0(21),79(19),242(20),49(18)])].

26498 x * ((C / (x * x)) * y) = C * (x \ y). [para(21027(a,1),371(a,1,1)),rewrite([23390(6)]),flip(a)].

26499 (C / x) * (y / C) = C * ((C * x) \ y). [para(19610(a,1),371(a,1,1)),rewrite([79(4),21120(10),21690(11)])].

26502 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(21690(a,1),371(a,1,1)),rewrite([22584(4),22(3),21690(10)]),flip(a)].

26511 x * (((C / (x * x)) / x) * y) = (C / x) * (x \ y). [para(20518(a,1),371(a,1,1)),flip(a)].

26516 (C * (x * x)) \ ((C * x) * y) = (C * x) \ (C * y). [para(22048(a,1),371(a,2,2,1)),rewrite([21690(7),22228(5),22584(10),22(9),21690(9),

21690(14)])].

26524 (x * ((y / x) * z)) \ (x * y) = (x * y) \ (x * ((y / z) * x)). [para(371(a,1),25275(a,1,1)),rewrite([23094(9)])].

26624 x \ ((C * x) * y) = (C / x) * (x * y). [para(13(a,2),372(a,1,2,1))].

26625 x \ (C * (x * y)) = (y / x) * (x * C). [para(13(a,2),372(a,1,2))].

26649 (C * x) \ (C * (C * y)) = x \ ((C / x) * (x * y)). [para(1045(a,1),372(a,1,2,1)),rewrite([25(6),21394(12),21690(14),410(12),26624(11)]

)].

26684 (x * (C * (C * (x * y)))) / C = x * (x * (C * y)). [para(120(a,1),372(a,1,2)),rewrite([79(8),8356(16)])].

26691 (C / x) * (x * ((x * C) * y)) = C * (C * (x * y)). [para(164(a,1),372(a,1,2)),rewrite([7(7)]),flip(a)].

26694 (x / (y * C)) * y = (x / y) * (y / C). [para(10200(a,1),372(a,1,2)),rewrite([23463(4),10200(9)])].

26708 (C * (x * C)) \ (x * y) = x \ ((x / (C * C)) * y). [para(14978(a,1),372(a,1,2,1)),rewrite([22500(12),21690(14)]),flip(a)].

26728 (C * x) \ (C * y) = ((C / x) * y) / C. [para(19610(a,1),372(a,1,2,1)),rewrite([79(5),21120(9),21690(12)]),flip(a)].

26731 ((C / x) * (x * (C * y))) / C = (C / x) * (x * y). [para(21415(a,1),372(a,2,1)),rewrite([13(6,R),52(7),26728(8),21690(14),26624(12)])]

.

26732 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(21690(a,1),372(a,1,2,1)),rewrite([22584(5),22(2),21690(9)]),flip(a)].

26738 C * (x \ ((y / x) * (x * C))) = x \ (C * (C * y)). [para(20076(a,1),372(a,1,2,1)),rewrite([25(4),20269(10),21744(12),410(11),26625(10)

]),flip(a)].

26742 (x / C) * ((C / (x * x)) * y) = ((C / x) * y) / C. [para(21020(a,1),372(a,2,1)),rewrite([21023(7),22584(7),21690(14),79(12)])].

26745 (C * x) * ((C * (x * x)) \ y) = C * ((C * x) \ y). [para(22048(a,1),372(a,2,1)),rewrite([21690(11),22228(9),21690(10),22584(9),22(4),2

1690(13)])].

26788 C * ((x / (C * y)) * y) = C * ((x / y) * (y / C)). [back_rewrite(3045),rewrite([26694(11)])].

26798 x \ ((C / x) * (x * y)) = ((C / x) * (C * y)) / C. [back_rewrite(26649),rewrite([26728(7)]),flip(a)].

26800 (C * (x * x)) \ ((C * x) * y) = ((C / x) * y) / C. [back_rewrite(26516),rewrite([26728(12)])].

26830 (x * (C * C)) \ y = (x \ (y / C)) / C. [back_rewrite(21743),rewrite([26728(15),22398(8),21690(11),26708(9),13024(8),6(2)]),flip(a)].

26943 ((x * y) \ (x * (C * y))) / C = a(C * C,x,y). [back_rewrite(5408),rewrite([26728(11),21415(5),21690(7)])].

26983 x \ (C * ((x / y) * (y / C))) = a(x / (C * y),y,C). [back_rewrite(2736),rewrite([26788(6)])].

26994 x * (C * (C * (C * (x * ((x \ (y / C)) / C))))) = C * (x * y). [back_rewrite(26480),rewrite([26830(8)])].

27012 (C * (C * x)) \ y = (x \ (y / C)) / C. [back_rewrite(727),rewrite([26830(10)])].

27071 (x * (x * (C * C))) \ y = (x \ (x \ (y / C))) / C. [back_rewrite(18843),rewrite([27012(6),410(4)]),flip(a)].

27075 ((x * (y * x)) \ (((x * y) * (x * (C * C))) / C)) / C = a(x,y,x * (C * C)). [back_rewrite(17366),rewrite([27012(13)])].

27087 (C * (x * (y * (x * C)))) \ z = ((x * (y * x)) \ (z / C)) / C. [back_rewrite(6688),rewrite([27012(7)]),flip(a)].

27098 (C * (x * (C * x))) \ y = (x \ (x \ (y / C))) / C. [back_rewrite(16862),rewrite([27071(12)])].

27407 x \ (y / (0 / x)) = (x \ y) * x. [para(5(a,1),374(a,1,2)),rewrite([21690(6),21690(7)])].

27449 (C * x) * (0 / (C * y)) = C * ((x / C) * (0 / y)). [para(22048(a,1),374(a,1,1)),rewrite([22048(8),22048(14)]),flip(a)].

27919 C * ((x / (C * y)) * (z * C)) = ((C * x) / y) * z. [para(319(a,1),380(a,2,1)),rewrite([13(6,R),48(8)])].

27932 C * ((((x / C) * (y * C)) / C) * z) = ((C * x) * y) * (z / C). [para(380(a,1),371(a,1,1)),rewrite([79(5)]),flip(a)].

27990 ((C / x) * ((x * C) * y)) / C = (y / (x * C)) * (C * (x * C)). [para(381(a,1),103(a,1,2)),rewrite([26728(8)])].

27993 (x * C) \ (C * ((C * x) * y)) = (y / (C * x)) * (C * (C * x)). [para(381(a,1),104(a,1,2))].

28000 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y / x,C * x). [para(381(a,1),64(a,1,1)),rewrite([12(8),13(6,R)])].

28491 (((C * x) / y) * z) / C = (x / (C * y)) * (C * z). [para(319(a,1),386(a,1,1,1)),rewrite([13(11,R),48(13)])].

28590 x * ((x \ y) * x) = y / (0 / x). [para(6(a,1),18521(a,1,1)),flip(a)].

28628 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(18521(a,1),22397(a,1,2)),flip(a)].

28635 x * (((y / x) * (C * x)) * x) = (C * (x * y)) / (0 / x). [para(381(a,1),18521(a,1,1)),flip(a)].

28695 x \ (y \ (0 / x)) = 0 / (x * (y * x)). [back_rewrite(25565),rewrite([28628(8)])].

28701 x * ((x \ y) / x) = y * (0 / x). [para(6(a,1),18522(a,1,1)),flip(a)].

28720 (x * (C * y)) * (0 / y) = y * (C * (y \ x)). [para(33(a,1),18522(a,1,1)),rewrite([8(11)])].

28730 (C * (x * (y * x))) * (0 / x) = x * ((y * (x * C)) / x). [para(53(a,2),18522(a,1,1))].

28738 (x * (y * (0 / x))) \ (x * (y / x)) = a(x,y,0 / x). [para(18522(a,1),64(a,1,2))].

28754 x * ((x \ y) * (x * z)) = (y / (0 / x)) * z. [para(18522(a,1),191(a,2,1,2)),rewrite([18489(5),5(2),18489(6),5(3),18489(9),5(6),23(7),2

8590(7)])].

28767 ((x * y) / z) * (0 / x) = x * (y / (x * z)). [para(319(a,1),18522(a,1,1)),rewrite([8(9)])].

28777 (x * (y * x)) \ ((x * y) * z) = (x * y) \ ((x * (y / x)) * z). [para(18522(a,1),372(a,1,2,1)),rewrite([28628(9),21690(12)]),flip(a)].

28789 (C * x) \ (y * (C * (y \ x))) = a(x,C * y,0 / y). [back_rewrite(22668),rewrite([28720(8)])].

28795 (x * C) \ (y * (C * (y \ x))) = a(x,C * y,0 / y). [back_rewrite(21939),rewrite([28720(8)])].

28920 ((C / (x * x)) / x) * y = (C / (x * (x * x))) * y. [para(20579(a,1),27(a,1,1)),rewrite([20579(10),21690(9),410(7),2505(8),21690(9),410

(7),7(6),23406(5),21236(3),20579(10),21690(11),410(9),21236(8),23196(9)])].

28943 x * ((C / (x * (x * x))) * y) = (C / x) * (x \ y). [back_rewrite(26511),rewrite([28920(5)])].

28972 C * ((x / C) * ((x * C) \ ((x / C) * (C * y)))) = (x / C) * y. [para(14978(a,1),390(a,2,1)),rewrite([22500(10),13(8,R),21690(14),27012

(12),7678(9),388(13),1460(19)])].

29031 (0 / x) / (C / (x * x)) = x / C. [para(20608(a,1),22397(a,1,2)),rewrite([22397(4)]),flip(a)].

29332 (C * (x * x)) \ y = x \ ((x \ y) / C). [para(22059(a,1),30(a,1,2,1)),rewrite([21690(8),21690(7),79(5),21690(6),21690(11),21709(9),2169

0(10)]),flip(a)].

29360 x \ (((C / x) * (x * y)) / C) = ((C / x) * y) / C. [back_rewrite(26800),rewrite([29332(7),26624(4)])].

29361 x * (C * ((C * x) \ (x \ y))) = C * ((C * x) \ y). [back_rewrite(26745),rewrite([29332(6),2505(7),26499(6)])].

29799 C * ((C * x) \ (y * (C * C))) = (C / x) * (y * C). [para(19610(a,1),401(a,2,1)),rewrite([21120(5),21690(10)])].

30267 x * ((C * ((x \ y) / x)) * x) = (y * (0 / x)) * (C * x). [para(23244(a,1),33(a,1,2,1,2))].

30284 (x \ (0 / y)) / x = 0 / (x * (y * x)). [para(21690(a,1),23244(a,1,2)),rewrite([28695(4)]),flip(a)].

30498 (C * x) \ ((x / C) * (C * y)) = (y / x) * (x / C). [para(10200(a,1),405(a,1,2)),rewrite([7678(7),10200(17),8(15),26694(12)])].

30499 ((x * C) \ ((x / C) * (C * y))) / C = (C * x) \ ((x / C) * y). [para(14978(a,1),405(a,1,2,1)),rewrite([1460(8),22500(14),13(12,R),2169

0(18),27012(16),7678(13)]),flip(a)].

30504 (x * C) \ (C * y) = ((C / x) * y) / C. [para(21027(a,1),405(a,1,2,1)),rewrite([26728(5),22062(9),28628(10),21690(14),28777(12),21027(1

0)]),flip(a)].

30516 ((C / x) * ((C * x) * y)) / C = (y / (C * x)) * (C * (C * x)). [back_rewrite(27993),rewrite([30504(8)])].

30582 ((C * x) / (C * y)) * (C * (C * y)) = (C / y) * ((C * y) * x). [para(99(a,2),408(a,1,2,1)),rewrite([13(7,R),52(9),30504(10),30516(10),

20196(16),21415(15),19610(14)])].

30587 (x * C) \ ((x / C) * y) = ((y / x) / (C * C)) * x. [para(14978(a,1),408(a,1,2,1)),rewrite([25300(8),914(7),644(8),22500(14),13(12,R),2

1690(18),27012(16),386(13),30498(14),13083(12)])].

30601 (C * x) \ ((x / C) * y) = ((y / (C * x)) * x) / C. [back_rewrite(30499),rewrite([30587(8),23516(7)]),flip(a)].

30602 C * ((x / C) * ((y / (C * x)) * x)) = (x / C) * y. [back_rewrite(28972),rewrite([30587(11),23516(10)])].

30603 (x / (C * (C * y))) * (C * y) = (x / y) * (y / C). [back_rewrite(30498),rewrite([30601(8),28491(8)])].

31037 (x / y) * (x \ z) = x * ((x * y) \ z). [para(25666(a,1),371(a,2,2,1)),rewrite([6(3),21690(7)])].

31038 ((x * y) \ (x * ((y / z) * x))) / (x * y) = 0 / (x * ((y / x) * z)). [para(371(a,1),25666(a,2,2)),rewrite([23094(4)])].

31039 (x * y) \ (x * z) = x \ ((x / y) * z). [para(25666(a,1),372(a,2,1)),rewrite([6(3),21690(8)]),flip(a)].

31044 (x / y) * (0 / x) = x * (0 / (x * y)). [para(25666(a,1),18522(a,2,2)),rewrite([6(3)])].

31060 x * ((x * y) \ (x / y)) = (x / y) / y. [back_rewrite(25276),rewrite([31037(4)])].

31061 (x \ ((x / y) * ((y / z) * x))) / (x * y) = 0 / (x * ((y / x) * z)). [back_rewrite(31038),rewrite([31039(5)])].

31066 x \ ((x / (y * (0 / x))) * (y / x)) = a(x,y,0 / x). [back_rewrite(28738),rewrite([31039(7)])].

31075 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [back_rewrite(26943),rewrite([31039(5)])].

31080 x \ ((x / ((y / x) * z)) * y) = x \ ((x / y) * ((y / z) * x)). [back_rewrite(26524),rewrite([31039(5),31039(10)])].

31092 C * (x \ ((x / y) * (y / C))) = a(0 / (C * C),x,y). [back_rewrite(22594),rewrite([31039(6)])].

31098 (x * (y * x)) \ z = x \ (y \ (x \ z)). [back_rewrite(20305),rewrite([31039(11),22403(6),21690(10),31039(8),22398(4),21690(7),31039(5),

22062(2),21690(4),7(2)]),flip(a)].

31172 (C * (x * (y * (x * C)))) \ z = (x \ (y \ (x \ (z / C)))) / C. [back_rewrite(27087),rewrite([31098(12)])].

31174 (x \ (y \ (x \ (((x * y) * (x * (C * C))) / C)))) / C = a(x,y,x * (C * C)). [back_rewrite(27075),rewrite([31098(11)])].

31187 (x / (0 / y)) / ((y \ x) * y) = y. [para(27407(a,1),23(a,1,2))].

31190 ((x * y) / (y * C)) * (C * (y * C)) = x * (y * C). [para(104(a,1),27407(a,2,1)),rewrite([18716(10),26625(9),13(8,R)])].

31207 x * ((y / x) * (z / (0 / x))) = (x * y) * ((x \ z) * x). [para(27407(a,1),371(a,1,2)),flip(a)].

31214 x \ (0 / (x \ y)) = ((0 / x) / y) * x. [para(25666(a,1),27407(a,1,2)),rewrite([21690(4),22584(10),22(6),7(9)])].

31229 x * (((x \ y) / (0 / x)) * x) = y / (0 / (x * x)). [para(28590(a,1),25(a,1)),rewrite([410(6),28754(9)]),flip(a)].

31235 x * ((x \ y) * (C * x)) = C * (y / (0 / x)). [para(28590(a,1),54(a,1,2)),flip(a)].

31237 a(x,x \ y,x) = ((0 / x) / y) * (y * x). [para(28590(a,1),64(a,1,1)),rewrite([6(5),22584(5)]),flip(a)].

31257 x * ((y / (z / (0 / x))) * x) = (x * y) / ((x \ z) * x). [para(28590(a,1),319(a,1,2,1,2))].

31266 (x / (0 / y)) / (0 / y) = y * (((y \ x) * y) * y). [para(28590(a,1),18521(a,1,1))].

31297 x * (0 / (x * (y * x))) = y \ (0 / x). [para(21690(a,1),28701(a,2)),rewrite([30284(4)])].

31301 x \ (x / ((x \ y) / x)) = (y * (0 / x)) \ x. [para(28701(a,1),25275(a,1,1)),flip(a)].

31323 x * (((C / x) * (x \ y)) / C) = ((C / x) * y) / C. [para(29031(a,1),372(a,2,1)),rewrite([23207(9),22584(9),1880(3),13031(9),28943(6),2

6742(14)])].

33993 a(x / C,C * (C / (x * x)),y) = 0. [para(1460(a,1),23964(a,1,1)),rewrite([20196(8),22062(7),19610(6),20196(10),22062(9),19610(8),20211(

7)])].

33994 a(C / x,x * (x / (C * C)),y) = 0. [para(1460(a,1),23964(a,1,2,1)),rewrite([20196(6),22062(5),19610(4),1460(10),4257(7)])].

37637 x \ (y * (x * C)) = (C * (x \ y)) * x. [para(13(a,1),559(a,1,2,2))].

37655 (C * (x * y)) * (0 / x) = x * (y * (C / x)). [para(19610(a,1),559(a,1,2,2)),rewrite([22584(6),22(2),22584(8),22(7)]),flip(a)].

37670 C * ((C * (x \ (y / x))) * x) = x \ (C * (C * y)). [back_rewrite(26738),rewrite([37637(6)])].

37672 x * ((y * (x * C)) / x) = x * ((y * x) * (C / x)). [back_rewrite(28730),rewrite([37655(7)]),flip(a)].

37890 a(x,C * (y * (C * z)),C) = a(x,C * C,y * (C * z)). [para(562(a,1),2684(a,2,2)),rewrite([79(6),49(7),242(12)]),flip(a)].

37916 (x * (y / z)) * (z / y) = x. [para(24403(a,1),562(a,1,2,2)),rewrite([22584(8),22582(7),10200(13),48(11),25189(8),49(5)]),flip(a)].

37973 x / (y / z) = x * (z / y). [para(37916(a,1),8(a,1,1))].

37974 (x * y) * (0 / y) = x. [para(8(a,1),37916(a,1,1,2)),rewrite([22062(3)])].

38021 (x * (0 / y)) \ y = y * (x \ y). [back_rewrite(31301),rewrite([37973(3),25274(2),7(4)]),flip(a)].

38106 x * (((x \ y) * x) * x) = (y * x) * x. [back_rewrite(31266),rewrite([37973(3),22(2),37973(4),22(3)]),flip(a)].

38113 (x * y) / ((x \ z) * x) = x * ((y / (z * x)) * x). [back_rewrite(31257),rewrite([37973(3),22(2)]),flip(a)].

38130 x * ((x \ y) * (C * x)) = C * (y * x). [back_rewrite(31235),rewrite([37973(9),22(8)])].

38133 (x * y) * y = x * (y * y). [back_rewrite(31229),rewrite([37973(4),22(3),38106(4),37973(6),22(5)])].

38140 (x * y) * ((x \ z) * x) = x * ((y / x) * (z * x)). [back_rewrite(31207),rewrite([37973(4),22(3)]),flip(a)].

38149 (x * y) / ((y \ x) * y) = y. [back_rewrite(31187),rewrite([37973(3),22(2)])].

38187 x * ((x \ y) * (x * z)) = (y * x) * z. [back_rewrite(28754),rewrite([37973(7),22(6)])].

38220 x * (((y / x) * (C * x)) * x) = (C * (x * y)) * x. [back_rewrite(28635),rewrite([37973(12),22(11)])].

38235 x * ((x \ y) * x) = y * x. [back_rewrite(28590),rewrite([37973(6),22(5)])].

38250 x \ (y * x) = (x \ y) * x. [back_rewrite(27407),rewrite([37973(3),22(2)])].

38260 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(26732),rewrite([37973(3),22(2)])].

38261 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(26502),rewrite([37973(3),22(2)])].

38288 ((x * (0 / (C * y))) / C) * y = x / (C * C). [back_rewrite(24017),rewrite([37973(10),22(9)])].

38295 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(23649),rewrite([37973(5),37973(12),22(11)])].

38302 ((C * x) * y) * (x / C) = C * ((x / C) * (y * x)). [back_rewrite(23519),rewrite([37973(6)])].

38311 ((x / y) * z) * (y / x) = (x / y) * (z * (y / x)). [back_rewrite(22604),rewrite([37973(7)])].

38314 ((C * x) * (y * C)) * x = C * ((x * C) * (y * x)). [back_rewrite(21929),rewrite([37973(8),22(7)])].

38320 (C / x) * (C * (y * (x / C))) = ((C / x) * y) * x. [back_rewrite(19612),rewrite([37973(6)])].

38323 ((x * C) * y) * (C * x) = C * ((C * x) * (y * x)). [back_rewrite(18666),rewrite([37973(8),22(7)])].

38324 (x * y) * x = x * (y * x). [back_rewrite(18521),rewrite([37973(4),22(3)])].

38406 a(x,0 / y,0 / y) = 0. [back_rewrite(20654),rewrite([38133(10),21690(9),18495(7),20(9)]),flip(a)].

38466 (x * y) \ (z * ((z \ x) * y)) = a(x,z,z \ y). [back_rewrite(2497),rewrite([38260(4)])].

38478 x * (x * ((C / x) * y)) = C * (x * y). [back_rewrite(26994),rewrite([38295(11),38260(7),21066(3),26499(6),21699(8)])].

38479 (C * (x * (y * x))) / x = (C * x) * y. [back_rewrite(24085),rewrite([38295(12)])].

38538 (x * (y * (x * (0 / z)))) * (0 / z) = x * (y * (x * (0 / (z * z)))). [back_rewrite(20651),rewrite([38406(13),5(8)]),flip(a)].

38547 (x * C) * (C * y) = C * (C * (x * y)). [back_rewrite(21697),rewrite([38478(6)]),flip(a)].

38550 (C * x) * (C * y) = C * (C * (x * y)). [back_rewrite(24088),rewrite([38479(7)])].

38552 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(323),rewrite([38479(7)])].

38598 a(x,C,C * y) = a(x,y,C * C). [back_rewrite(2703),rewrite([38547(10),2685(11)]),flip(a)].

38660 (x * (C * (C * C))) * y = C * (C * (C * (x * y))). [back_rewrite(5739),rewrite([38550(13)])].

38666 (x * C) * (y * C) = C * (C * (x * y)). [back_rewrite(849),rewrite([38550(5)]),flip(a)].

38669 C * ((x * C) * (y * x)) = C * (x * ((y * C) * x)). [back_rewrite(38314),rewrite([38552(5),52(6),12(5)]),flip(a)].

38730 (C * (x * ((y * C) * x))) * z = (x * (C * (C * (y * x)))) * z. [back_rewrite(6635),rewrite([38552(12)])].

38790 (C * x) * (y * (C * x)) = C * (x * ((y * C) * x)). [back_rewrite(13537),rewrite([38669(12)])].

38793 (C * (x * ((y * C) * x))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(10504),rewrite([38669(6)])].

38810 (x * (C * (C * (y * x)))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(38730),rewrite([38793(7)]),flip(a)].

38830 x \ (x / y) = 0 / y. [para(37974(a,1),7(a,1,2)),rewrite([25275(2)])].

38831 x * (0 / y) = x / y. [para(9(a,1),37974(a,1,1))].

38836 (x * y) * (x * y) = x * (y * (x * y)). [para(37974(a,1),85(a,1,1,2)),rewrite([38324(2),37973(5),22(4),10(3)]),flip(a)].

38844 a(x,y,0 / y) = 0. [para(37974(a,1),64(a,1,2)),rewrite([18489(3),5(2),20(1)]),flip(a)].

38858 (0 / x) / y = 0 / (y * x). [para(37974(a,1),22062(a,1,2))].

38903 (C * (x * y)) \ (x * (C * y)) = 0 / a(x,y,C). [back_rewrite(25632),rewrite([38830(10)]),flip(a)].

38904 ((x * C) * y) \ (x * (y * C)) = 0 / a(x,C,y). [back_rewrite(25631),rewrite([38830(10)]),flip(a)].

38912 ((C * x) * y) \ (x * C) = 0 / y. [back_rewrite(25601),rewrite([38830(12)])].

38914 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(25597),rewrite([38830(7)]),flip(a)].

38916 a(0 / (x * y),x,y) = 0. [back_rewrite(25352),rewrite([38830(6),9(7)])].

38919 (x * y) \ x = 0 / y. [back_rewrite(25275),rewrite([38830(4)])].

38927 (x * (y * (x / z))) / z = x * (y * (x / (z * z))). [back_rewrite(38538),rewrite([38831(3),38831(6),38831(8)])].

38942 ((x / (C * y)) / C) * y = x / (C * C). [back_rewrite(38288),rewrite([38831(5)])].

38961 (x / y) * x = x * (y \ x). [back_rewrite(38021),rewrite([38831(3),22584(2)])].

38970 (C * (x * y)) / x = x * (y * (C / x)). [back_rewrite(37655),rewrite([38831(6)])].

38992 x / (x * (y * x)) = y \ (0 / x). [back_rewrite(31297),rewrite([38831(5)])].

39000 a(x,y,0 / x) = 0. [back_rewrite(31066),rewrite([38831(3),37973(2),37916(4),20(1)]),flip(a)].

39001 (x / y) / x = x / (x * y). [back_rewrite(31044),rewrite([38831(4),38831(6)])].

39018 x * ((C * ((x \ y) / x)) * x) = (y / x) * (C * x). [back_rewrite(30267),rewrite([38831(9)])].

39059 ((x * y) / z) / x = x * (y / (x * z)). [back_rewrite(28767),rewrite([38831(5)])].

39063 (x * (C * y)) / y = y * (C * (y \ x)). [back_rewrite(28720),rewrite([38831(6)])].

39069 x * ((x \ y) / x) = y / x. [back_rewrite(28701),rewrite([38831(6)])].

39083 (C * x) / (C * y) = C * ((x / C) / y). [back_rewrite(27449),rewrite([38831(7),38831(11)])].

39134 x \ (y / x) = (x \ y) / x. [back_rewrite(23244),rewrite([38831(3)])].

39194 (x * y) / x = x * (y / x). [back_rewrite(18522),rewrite([38831(4)])].

39265 a(x,x \ y,x) = 0. [back_rewrite(31237),rewrite([38858(5),9(7)])].

39266 x \ (0 / (x \ y)) = (y * x) \ x. [back_rewrite(31214),rewrite([38858(7),21690(8)])].

39301 0 / a(x,x * y,C) = a(C,x * x,y). [back_rewrite(2670),rewrite([38903(9)])].

39326 x * ((y * x) * (C / x)) = (C * x) * y. [back_rewrite(38479),rewrite([38970(5)])].

39403 C * (C * (((x / C) / y) * (C * y))) = (C / y) * ((C * y) * x). [back_rewrite(30582),rewrite([39083(5),38550(10)])].

39497 C * ((C * ((x \ y) / x)) * x) = x \ (C * (C * y)). [back_rewrite(37670),rewrite([39134(4)])].

39517 x * ((y * (x * C)) / x) = (C * x) * y. [back_rewrite(37672),rewrite([39326(10)])].

39535 a(x,0 / y,y) = 0. [para(23(a,1),38844(a,1,3)),rewrite([18073(2)])].

39537 a(0 / x,y,x) = 0. [para(23(a,1),39000(a,1,3)),rewrite([18073(2)])].

39567 ((x * (C * y)) \ (C * (C * (x * y)))) / C = a(C,C * (C * x),y). [para(564(a,1),64(a,1,2,1)),rewrite([52(6),38660(14),31039(15),21415(8

),21690(12),79(11)])].

39650 (x / C) * (y * (C * (C * C))) = C * (x * (C * y)). [para(564(a,1),372(a,2,2)),rewrite([38550(8),7(9)]),flip(a)].

39806 a(x,y,x) = 0. [para(7(a,1),39265(a,1,2))].

39812 (x / y) * (y * y) = x * y. [back_rewrite(3323),rewrite([39806(1),5(2)]),flip(a)].

39815 a(x * C,y,C * x) = 0. [para(39806(a,1),2667(a,1)),flip(a)].

39817 C * ((C * x) * (y * x)) = C * (x * ((y * C) * x)). [para(39806(a,1),114(a,1,2)),rewrite([10212(6),5(8),38324(12),38790(12)])].

39820 ((x * C) * y) * (C * x) = C * (x * ((y * C) * x)). [back_rewrite(38323),rewrite([39817(12)])].

39829 (x * C) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(13538),rewrite([39817(12)])].

39837 (x * (x / y)) * y = x * x. [para(39535(a,1),95(a,1,2)),rewrite([9(3),5(2),5(3),38831(4)]),flip(a)].

39843 a(0 / (x * C),y,C * x) = 0. [para(1296(a,1),39537(a,1,1))].

39856 0 / (x \ y) = y \ x. [para(23(a,1),38830(a,1,2)),flip(a)].

39858 (x / y) * (C * x) = x * ((C / y) * x). [para(38830(a,1),33(a,1,2,1,2)),rewrite([38831(4)]),flip(a)].

39859 (x / y) / (x \ (0 / y)) = x * x. [para(38830(a,1),417(a,1,2,2))].

39860 (x \ y) \ x = y \ (x * x). [para(417(a,1),38830(a,1,2)),rewrite([39856(6)]),flip(a)].

39864 x \ (0 / y) = 0 / (y * x). [para(22062(a,1),38830(a,1,2))].

39876 (x * y) \ (x / y) = 0 / (y * y). [para(38830(a,1),22214(a,1,1,2)),rewrite([39864(3),37973(5),21690(5)])].

39885 (x * y) \ y = y \ (x \ y). [back_rewrite(39266),rewrite([39856(3)]),flip(a)].

39893 (x / y) * (y * x) = x * x. [back_rewrite(39859),rewrite([39864(4),37973(5),22(4)])].

39903 x / (x * (y * x)) = 0 / (x * y). [back_rewrite(38992),rewrite([39864(6)])].

39922 (x / y) / y = x / (y * y). [back_rewrite(31060),rewrite([39876(3),38831(4)]),flip(a)].

39996 (x * (y * x)) / z = x * (y * (x / z)). [para(38831(a,1),10(a,1)),rewrite([38831(6)])].

39998 (x * x) / y = x * (x / y). [para(38831(a,1),25(a,1)),rewrite([38831(5)])].

40001 (x * (y * (z * (y * x)))) / u = x * (y * (z * (y * (x / u)))). [para(38831(a,1),31(a,1)),rewrite([38831(8)])].

40028 x * ((y * (z / x)) * x) = (x * y) * z. [para(38831(a,1),319(a,1,2,1,2)),rewrite([37973(2),37973(8),22(7)])].

40031 (x * y) / (z * x) = x * ((y / x) / z). [para(38831(a,1),371(a,2,2)),rewrite([39864(4),38831(5)])].

40032 (x / (y * z)) * y = (x / y) * (y / z). [para(38831(a,1),372(a,1,2)),rewrite([23463(3),38831(7)])].

40310 (x / y) * (C * y) = y * ((C / y) * x). [back_rewrite(39018),rewrite([40028(6),371(4)]),flip(a)].

40313 a(x,y / x,C * x) = a(C,x,y). [back_rewrite(28000),rewrite([40028(8),2651(7)]),flip(a)].

40317 x * ((y / x) / (x \ z)) = x * ((y / (z * x)) * x). [back_rewrite(38113),rewrite([40031(4)])].

40378 x \ ((x * y) / z) = (y / x) * (x / z). [back_rewrite(23463),rewrite([40032(6)])].

40423 x \ (((x / y) * (y / z)) * z) = a(x / (y * z),y,z). [back_rewrite(2641),rewrite([40032(3)])].

40424 x * a(x / (y * z),y,z) = ((x / y) * (y / z)) * z. [back_rewrite(67),rewrite([40032(7)])].

40488 (C / x) * ((C * x) * y) = C * (x * ((C / x) * y)). [back_rewrite(39403),rewrite([40310(8),26499(7),21699(9)]),flip(a)].

40495 x * (x * (((C / x) * y) * x)) = (C * (x * y)) * x. [back_rewrite(38220),rewrite([40310(4),38324(5)])].

40496 x * ((C / x) * (y * x)) = y * (x * C). [back_rewrite(31190),rewrite([40310(9),22062(6),21690(6),38250(4),38140(5)])].

40497 (x \ (y * ((C / y) * x))) / C = a(C * C,x,y). [back_rewrite(31075),rewrite([40310(4)])].

40507 ((C / x) * ((x * C) * y)) / C = x * ((C / x) * y). [back_rewrite(27990),rewrite([40310(16),22062(14),21690(13),371(12)])].

40602 x * (C * (x * ((C / x) * y))) = C * (x * (C * y)). [back_rewrite(22173),rewrite([40488(6)])].

40603 ((C / (x * ((C / x) * y))) * (C * y)) / C = a(C / x,C * x,y). [back_rewrite(20962),rewrite([40488(6),31039(11),79(11)])].

40646 ((x * y) \ ((x * (C * (y * C))) / C)) / C = 0 / a(x,y,C * C). [para(251(a,1),38919(a,1,1)),rewrite([27012(11)])].

40649 x \ ((x / y) * ((y / z) * x)) = z \ x. [para(371(a,1),38919(a,1,1)),rewrite([31039(5),31080(5),39856(8)])].

40683 0 / (x * ((y / x) * z)) = (z \ x) / (x * y). [back_rewrite(31061),rewrite([40649(5)]),flip(a)].

40710 (x \ y) * (y \ x) = 0. [para(39856(a,1),9(a,1,1))].

40715 (x \ y) \ z = (y \ x) * z. [para(39856(a,1),21690(a,1,1)),flip(a)].

40787 x / (y \ z) = x * (z \ y). [para(39856(a,1),38831(a,1,2)),flip(a)].

40790 x \ (y * y) = (x \ y) * y. [back_rewrite(39860),rewrite([40715(2)]),flip(a)].

40801 x * ((y / (z * x)) * x) = x * ((y / x) * (z \ x)). [back_rewrite(40317),rewrite([40787(3)]),flip(a)].

40883 (x \ (C * y)) * ((y * C) \ x) = 0. [para(291(a,1),40710(a,1,2))].

41066 a(x / y,y,0 / x) = 0. [para(38831(a,1),38916(a,1,1,2)),rewrite([37973(3),4(3)])].

41292 C * ((C * x) * (y * (y * x))) = C * (x * (y * (C * (y * x)))). [para(39815(a,1),94(a,1,2)),rewrite([24555(7),5(9),39820(14),13(11,R),1

24(12)])].

41331 (x * C) * (y * (y * (C * x))) = C * (x * (y * (C * (y * x)))). [back_rewrite(24555),rewrite([41292(14)])].

41870 (x * C) * (y * (C * C)) = C * (C * (x * (y * C))). [para(577(a,1),76(a,2)),rewrite([38550(7)]),flip(a)].

42082 (x / (y * y)) * (y * (y / x)) = 0. [para(41066(a,1),94(a,1,2)),rewrite([38831(5),5(7),9(9),38831(8),21(6)])].

42247 x / (y * (z / u)) = x * ((u / z) / y). [para(37973(a,1),37973(a,1,2))].

42459 (x * (y * y)) / y = x * y. [para(38133(a,1),8(a,1,1))].

42517 x / (y * (x * x)) = 0 / (y * x). [para(38133(a,1),22062(a,1,2))].

42549 (x / (y * C)) * (y * (C * C)) = y * ((C / y) * x). [para(38133(a,1),405(a,2,2)),rewrite([13(7,R),31039(8),79(8),40507(8)]),flip(a)].

42656 0 / ((x \ y) * x) = x \ (y \ x). [para(38149(a,1),38830(a,1,2)),rewrite([39885(2)]),flip(a)].

42673 (x / C) * (y * (x * C)) = C * ((x / C) * (y * x)). [para(38235(a,1),246(a,2,2,2)),rewrite([79(4),79(6),1654(9),79(8)]),flip(a)].

42788 (x * (x * (y * x))) * z = x * ((x * y) * (x * z)). [para(38324(a,1),10(a,1,1,2))].

42801 0 / a(x,y,x * z) = a(x * y,x,z). [para(38324(a,1),64(a,1,2,1)),rewrite([10(6),38914(7)])].

42834 C * ((x / C) / (x * ((y * C) * x))) = 0 / ((x * C) * y). [para(38324(a,1),22406(a,1,2)),rewrite([39829(8),39083(9)])].

42918 (x \ (y \ x)) / x = 0 / (y * x). [para(38235(a,1),38858(a,2,2)),rewrite([42656(4)])].

43149 (x / (x * y)) * (x * (y / x)) = 0. [para(39001(a,1),22566(a,1,1)),rewrite([37973(4)])].

43334 (x / y) * (y * C) = y * ((C / y) * x). [para(39069(a,1),56(a,1,1)),rewrite([13(8,R),40028(10),371(8)])].

43351 x * (C * ((y / x) * (C * (x * z)))) = (C * (x * (C * y))) * z. [para(39069(a,1),458(a,2,2,2,1)),rewrite([13(5,R),40028(7),371(5),40602

(7)]),flip(a)].

43376 x \ (C * (x * y)) = x * ((C / x) * y). [back_rewrite(26625),rewrite([43334(8)])].

43428 (C * ((x \ y) / x)) * x = (C / x) * y. [para(39134(a,1),559(a,2,1,2)),rewrite([40310(4),7(5)]),flip(a)].

43437 x \ (C * (C * y)) = C * ((C / x) * y). [back_rewrite(39497),rewrite([43428(6)]),flip(a)].

43445 (C / (x * (C * y))) * (x * y) = a(C,C * (C * x),y). [back_rewrite(39567),rewrite([43437(9),39194(11),49(11)])].

43479 x \ (y * (C * C)) = C * ((C / x) * y). [back_rewrite(20478),rewrite([43437(5)]),flip(a)].

43498 (C / x) * (y * C) = C * (C * (x \ y)). [back_rewrite(29799),rewrite([43479(8),21415(6),21690(5)]),flip(a)].

43564 (x * y) / (y * y) = x / y. [para(39812(a,1),8(a,1,1))].

43720 (x * (C * y)) / C = C * ((x / C) * y). [para(39837(a,1),408(a,1,2,1)),rewrite([13(4,R),25(8),43437(9),42247(7),39922(6),644(7),42247(1

0),39922(9),21744(15),13283(16),13277(16),6(9)]),flip(a)].

43779 ((x * y) \ ((C * x) * y)) / C = 0 / a(x,y,C * C). [back_rewrite(40646),rewrite([43720(8),380(8)])].

43780 C * (((x \ y) / (y * C)) * x) = a(C / y,C * y,x). [back_rewrite(40603),rewrite([43720(11),39001(9),21415(9),40683(7)])].

43851 x \ ((C / x) * (x * y)) = C * (x \ y). [back_rewrite(26798),rewrite([43720(12),39001(10),21415(10),21690(9)])].

43857 (C * x) * (x * y) = x * (x * (C * y)). [back_rewrite(26684),rewrite([43720(8),30(8)])].

43867 (x * (y * (C * C))) / C = (C * x) * y. [back_rewrite(16476),rewrite([43720(7),380(7)]),flip(a)].

43885 (x * (y * (y * C))) / C = C * ((x / C) * (y * y)). [back_rewrite(9932),rewrite([43720(6)]),flip(a)].

43886 (x * (y * C)) / C = C * ((x / C) * y). [back_rewrite(1546),rewrite([43720(5)]),flip(a)].

43942 (x \ (y \ (x * (((C / x) * y) * x)))) / C = a(x,y,x * (C * C)). [back_rewrite(31174),rewrite([43867(8),38250(5),43376(4),38324(5)])].

43979 ((C * x) * y) * (z / C) = C * ((x * (y / C)) * z). [back_rewrite(27932),rewrite([43886(8),39922(6),14703(8)]),flip(a)].

44010 C * ((x / C) * (y * x)) = C * (x * ((y / C) * x)). [back_rewrite(38302),rewrite([43979(6),38324(5)]),flip(a)].

44015 (x / C) * (y * (x * C)) = C * (x * ((y / C) * x)). [back_rewrite(42673),rewrite([44010(12)])].

44020 C * (x * (y / (C * C))) = (x / C) * y. [back_rewrite(30602),rewrite([44010(9),38942(7)])].

44545 x * ((C / x) * (y \ x)) = y \ (C * x). [para(39864(a,1),33(a,1,2,1,2)),rewrite([38831(5),40801(5),21690(10)])].

45046 (C * (x * (y * (C * C)))) * z = C * (((C * x) * y) * (C * z)). [para(681(a,1),30(a,2,1)),rewrite([43720(8),30(8)]),flip(a)].

45047 (C * (x * (C * (C * y)))) * z = C * (((C * x) * y) * (C * z)). [para(681(a,2),30(a,2,1)),rewrite([43867(8)]),flip(a)].

45203 (C * (x * (C * (y * C)))) * z = C * (((C * x) * y) * (C * z)). [back_rewrite(3699),rewrite([45046(16)])].

45211 C * (x / (C * (C * (C * C)))) = x / (C * (C * C)). [para(39922(a,1),644(a,1,2)),rewrite([99(8,R),13(7,R),14402(16)])].

45226 (x \ y) / (y * y) = 0 / (y * x). [para(22209(a,1),39922(a,1,1)),rewrite([38858(3)]),flip(a)].

45975 (x / C) * (C * y) = C * (x * (y / C)). [para(386(a,1),43564(a,2)),rewrite([13(5,R),25300(9),386(6),43720(8),39922(6),14703(8)]),flip(a

)].

46102 (x * y) \ (C * (x * (y / C))) = a(x,0 / C,C * y). [back_rewrite(13036),rewrite([45975(6)])].

46107 ((x * C) * y) / C = C * (x * (y / C)). [back_rewrite(7678),rewrite([45975(10)])].

46115 ((C * x) * y) / C = C * (x * (y / C)). [back_rewrite(386),rewrite([45975(10)])].

46507 C * ((C / x) * (y * (x / C))) = C * ((x \ y) * x). [para(39843(a,1),113(a,1,2)),rewrite([38547(9),21690(10),43437(8),22062(5),21690(5)

,38250(3),5(6),21690(11),30504(9),45975(12),38311(11)]),flip(a)].

46582 (x * (y * (C * C))) * (C * z) = C * (C * (((C * x) * y) * z)). [para(703(a,1),372(a,1,2,1)),rewrite([52(11),7(12),39194(17),43720(16),

45975(15),38295(16),38550(16)])].

46584 (x * (C * (C * y))) * (C * z) = C * (C * (((C * x) * y) * z)). [para(703(a,2),372(a,1,2,1)),rewrite([52(11),7(12),39194(17),43867(16),

38550(16)])].

46918 (x / y) * (z * (C * C)) = C * ((C * (x / y)) * z). [para(707(a,1),22584(a,2)),rewrite([43437(6),37973(4)]),flip(a)].

46919 (x / y) * (C * (C * z)) = C * ((C * (x / y)) * z). [para(707(a,2),22584(a,2)),rewrite([43479(6),37973(4)]),flip(a)].

47053 C * ((C * (x / (y * C))) * y) = y * ((C / y) * x). [back_rewrite(42549),rewrite([46918(8)])].

48543 (C / x) * (x * y) = (y * x) * (C / x). [para(22062(a,1),733(a,1,1)),rewrite([22062(10),38831(9),39194(7),39517(7),21690(6),38261(4),21

066(2),22062(10),38831(9)])].

50774 a(0 / (C * C),x,y) = a(C,x,C * y). [para(844(a,1),104(a,1,2)),rewrite([13(5,R),38550(10),43437(11),21415(8),21690(8),31039(6),40032(5)

,31092(7)])].

50796 C * (x \ ((x / y) * (y / C))) = a(C,x,C * y). [back_rewrite(31092),rewrite([50774(13)])].

51648 (x / C) * (y * (x / C)) = x * ((y / C) * (x / C)). [para(39812(a,1),852(a,1,1,2,2)),rewrite([44015(6),25300(10),39996(7),38927(9),1498

0(10)]),flip(a)].

51671 (x / C) * (y * x) = x * ((y / C) * x). [back_rewrite(1654),rewrite([51648(7),10202(8)]),flip(a)].

52404 a(C,C * (C * (C * x)),y) = a(C,x,y). [para(872(a,1),64(a,1,2,1)),rewrite([52(8),38550(7),3846(18),10(17),43437(19),21415(12),21690(16)

,27012(14),43720(11),45975(10),38295(11),64(8),49(6)]),flip(a)].

53211 (x * y) / (C * C) = (x / C) * (y / C). [para(922(a,1),405(a,1,2,1)),rewrite([21(7),4(8),49(7),410(5),79(4),39134(5),79(3),39922(5),399

22(13),99(12,R),13(11,R),25(17),46919(18),45211(16),26416(14)])].

53216 C * ((x / C) * (y / C)) = (x * y) / C. [para(922(a,1),38235(a,2)),rewrite([22584(11),39998(8),38550(11),922(16),39194(12),49(12),38311

(11),46507(12),13024(9),38235(3)]),flip(a)].

53255 (x * (x / (C * C))) * y = x * ((x / C) * (y / C)). [back_rewrite(13283),rewrite([53211(11)])].

53256 (x * (x * y)) / C = x * ((x / C) * y). [back_rewrite(13277),rewrite([53211(7),39194(6),49(6)]),flip(a)].

53262 (C * x) * (y / (C * C)) = (x * y) / C. [back_rewrite(922),rewrite([53216(14)])].

53732 a(x,y * C,C * C) = a(x,C,y * (C * C)). [para(99(a,1),38598(a,1,3)),flip(a)].

53734 a(x,C * y,C * C) = a(x,C,y * (C * C)). [para(249(a,1),38598(a,1,3)),flip(a)].

53755 a(x,y * (C * z),C * C) = a(x,C,C * (y * (C * z))). [para(562(a,1),38598(a,1,3)),rewrite([242(6),79(10),49(11)]),flip(a)].

54437 (C / x) / (C * y) = C / (y * (C * x)). [para(389(a,1),38912(a,1,1)),rewrite([25(4),52(5),40790(9),21066(7),21415(7),13(7,R),38831(7),2

5(14),46919(15),644(13),40683(12),21066(7)]),flip(a)].

54453 a(C * C,x,y) = a(C * x,C,y). [para(844(a,1),38912(a,1,1)),rewrite([38550(5),13(10,R),31039(11),21415(6),21690(8),31039(6),43334(5),79(

7),40497(7),42801(10)])].

54456 0 / a(C,x,y * C) = a(C * C,x,y). [para(846(a,1),38912(a,1,1)),rewrite([38552(5),13(10,R),31039(11),21415(6),21690(8),31039(6),40310(5)

,79(7),40497(7)]),flip(a)].

54691 C * ((x / C) / (x * (y * x))) = C / (x * (C * y)). [para(388(a,1),39903(a,2,2)),rewrite([45975(9),38550(10),10202(9),39083(7),40683(14

),21066(9),54437(12)])].

54770 C / (x * (C * (y * C))) = 0 / ((x * C) * y). [back_rewrite(42834),rewrite([54691(9)])].

54827 a(C,x,y * x) = a(x,y,C * x). [para(8(a,1),40313(a,1,2)),flip(a)].

54828 a(x,y / x,x * C) = a(C,x,y). [para(13(a,1),40313(a,1,3))].

55159 C * (C * ((x / C) * y)) = x * (C * y). [para(42082(a,1),813(a,2,2,2,2,2,2)),rewrite([644(13),49(10),13024(9),39996(5),10202(6),21417(5

),8(3),5(12),13024(13),43886(9)]),flip(a)].

55264 (x * y) \ (y * z) = y \ ((x \ y) * z). [para(42918(a,1),372(a,2,1)),rewrite([6(3),21690(8)]),flip(a)].

55427 C * (C * ((C * x) \ y)) = x \ (C * y). [para(45226(a,1),403(a,2,2,1)),rewrite([21066(5),25(6),410(10),79(9),39134(10),79(8),39922(10),

53262(11),21744(5),39194(7),49(7),21690(11),25(10)]),flip(a)].

55956 a(x \ y,x,C * (x \ y)) = a(C,x \ y,y). [para(6(a,1),54827(a,1,3)),flip(a)].

55957 a(C,x / C,y * (x / C)) = a(x / C,y,x). [para(6(a,1),54827(a,2,3)),rewrite([79(3),79(5),79(9)])].

55958 a(C,x,y * x) = a(x,y,x * C). [para(13(a,1),54827(a,2,3))].

56080 a(x,0 / y,x * C) = a(C,x,y \ x). [para(22209(a,1),54828(a,1,2))].

56082 a(x,x / (x * y),x * C) = a(C,x,x / y). [para(39001(a,1),54828(a,1,2))].

56127 a(C,x,(y * C) * x) = a(x,C * y,x * C). [para(76(a,1),55958(a,1,3))].

56136 a(C,x,x * (y \ x)) = a(x,x / y,x * C). [para(38961(a,1),55958(a,1,3))].

56209 (C / x) * (C * y) = C * (C * (x \ y)). [para(33993(a,1),844(a,1,2)),rewrite([38552(10),46919(11),49(5),26498(6),5(7),45975(13),39001(1

1),21415(11),38831(10),22062(8),38831(9)]),flip(a)].

56211 C * (C * (x \ (y * (x / C)))) = ((C / x) * y) * x. [back_rewrite(38320),rewrite([56209(8)])].

56219 (C / x) * (x * ((x / C) * y)) = C * (x * (y / C)). [para(33994(a,1),844(a,1,2)),rewrite([53255(10),8(8),5(9),22359(15),45975(12)])].

56220 (x / C) * (y * C) = C * (x * (y / C)). [para(33994(a,1),846(a,1,2)),rewrite([53255(10),39194(8),49(8),56219(7),5(7),22359(13)]),flip(a

)].

59738 C * (x \ (y * (x / C))) = C * (((x \ y) / C) * x). [para(43149(a,1),1437(a,1,2,2,2)),rewrite([21415(5),21415(8),38831(7),37973(6),5(8)

,21690(7),21415(11),21690(10),388(12)])].

59742 ((C / x) * y) * x = (x \ y) * (C * x). [back_rewrite(56211),rewrite([59738(7),55159(8)]),flip(a)].

59743 a(x,y,x * (C * C)) = a(C * C,x,y). [back_rewrite(43942),rewrite([59742(4),38130(5),43376(4),40497(7)]),flip(a)].

59746 (C * (x * y)) * x = x * (C * (y * x)). [back_rewrite(40495),rewrite([59742(4),38130(5)]),flip(a)].

60059 (C * (x / (C * y))) * y = y * (C * ((C * y) \ x)). [para(1446(a,1),686(a,1,1)),rewrite([53732(13),40424(14),42517(8),38831(7),46918(10

),47053(10),26499(5),27919(19),40032(15),44020(16),39059(11)]),flip(a)].

60067 (C * (x / (y * C))) * y = y * (C * ((C * y) \ x)). [back_rewrite(3044),rewrite([60059(6)]),flip(a)].

60068 x \ (y * (C * ((C * y) \ x))) = a(x / (y * C),C,y). [back_rewrite(2739),rewrite([60067(6)])].

60072 (C * x) \ (y * ((C / y) * x)) = a(x,0 / y,C * y). [para(1447(a,1),103(a,1,2)),rewrite([22062(6),38831(5),40310(6),22062(11)])].

67379 a(x / (y * C),C,y) = 0 / a(x,y,C * x). [para(1925(a,1),38919(a,1,1)),rewrite([31098(9),43376(7),40496(7),31039(6),56220(5),43376(6),26

499(5),60068(7)])].

69592 C / (x * (C * (C * y))) = 0 / ((x * C) * y). [para(76(a,1),2078(a,2,2,2)),rewrite([13(12,R),54770(14)])].

69615 (C * ((x / C) * y)) \ z = (C / (x * (y * C))) * z. [para(2078(a,1),22584(a,2,1)),rewrite([43720(5)])].

71146 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(2507(a,1),372(a,1,2))].

71148 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(2507(a,1),405(a,1,2)),rewrite([8(7),31039(6),79(6),22062(10),2507(13),21690(1

4),71146(12)])].

71197 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(29360),rewrite([71148(6),43851(7)]),flip(a)].

71198 C * ((C / x) * (x * (y / C))) = (C / x) * (x * y). [back_rewrite(26731),rewrite([71197(8),43720(6),71146(7)])].

71201 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(71148),rewrite([71197(6),40378(5)]),flip(a)].

71218 x * (C * (x \ ((x \ y) / C))) = C * (x \ (y / C)). [back_rewrite(31323),rewrite([71197(6),71197(12)])].

71223 (C * (x / y)) * y = (C / y) * (y * x). [back_rewrite(71198),rewrite([71201(7),38295(8)])].

71224 x \ (C * ((x / C) * y)) = C * ((y / x) * (x / C)). [back_rewrite(71146),rewrite([71201(12)])].

71229 (x * C) \ ((C / y) * (y * x)) = a(C,x / y,y). [back_rewrite(2944),rewrite([71223(6)])].

71266 a(C * x,C * y,0 / y) = a(C * C,y,y \ x). [para(2511(a,1),104(a,1,2)),rewrite([13(4,R),26405(10),21066(7),21744(9),28789(11)])].

71277 a(x / (y * C),C,y) = a(C,y,y \ (x / C)). [para(9(a,1),2525(a,1,1)),rewrite([26499(5),60068(7)])].

71278 a(x,0 / y,C * y) = a(C,y,y \ x). [para(13(a,2),2525(a,1,1)),rewrite([60072(7)])].

71279 a(C,x * x,x \ (x \ y)) = a(y,C * x,0 / x). [para(25(a,1),2525(a,1,2)),rewrite([26498(7),28795(7),410(9)]),flip(a)].

71287 a(C,0 / x,x * y) = a(C,y / x,x). [para(21690(a,1),2525(a,1,2)),rewrite([37973(6),22(5),38261(6),21066(4),71229(7),22584(9),22(8)]),fli

p(a)].

71300 a(C,x,C * (C * (y * x))) = a(C,x,C * y). [para(960(a,1),2525(a,1,2)),rewrite([9(5),38552(5),13(8,R),9(15),38666(15),30(18),38547(16),4

3437(17),21415(11),21690(14),31039(12),30603(11),22062(3),21690(7),40378(5),50796(7),9(10),38552(10),7(12)]),flip(a)].

71301 a(x,C / x,y) * a(C,x,x \ y) = 0. [para(2525(a,1),40883(a,1,2)),rewrite([21422(7)])].

71313 a(C,x,((C * x) \ (y / C)) / C) = a(C,x,x \ y). [para(2045(a,1),2525(a,1,2,2,1)),rewrite([22398(16),21690(15),31098(13),79(11),79(13),3

88(14),39194(9),39194(8),49(8),38260(9),21066(5),26499(8),21699(10),2525(7),27012(17),52404(18)]),flip(a)].

71314 a(C,x,x \ (y / C)) = 0 / a(y,x,C * y). [back_rewrite(67379),rewrite([71277(5)])].

71430 C * (x * (C * (x \ (y / C)))) = x * (C * (x \ y)). [para(10(a,1),2563(a,2)),rewrite([31098(9),79(8),86(10),71218(8),20613(14),21690(13

),410(11),6(12)])].

71431 (C / x) * (x * y) = x * (C * (x \ y)). [para(25(a,1),2563(a,2)),rewrite([43857(6),38836(12),27098(13),388(14),53256(8),99(7,R),13(6,R)

,49(6),371(9),8(4),71430(8),38836(14),21415(15),21690(14),31098(12),79(11),38260(13),21066(8),26499(12),29361(13),38550(12),22129(12)]),flip(

a)].

71436 a(x,C * y,0 / y) = a(C,x / y,y). [back_rewrite(71229),rewrite([71431(6),28795(7)])].

71439 (C * (x / y)) * y = y * (C * (y \ x)). [back_rewrite(71223),rewrite([71431(8)])].

71442 (x * y) * (C / y) = y * (C * (y \ x)). [back_rewrite(48543),rewrite([71431(4)]),flip(a)].

71448 x * (C * (x * (C * (x \ y)))) = C * (C * (x * y)). [back_rewrite(26691),rewrite([71431(7),372(5),71431(5)])].

71450 a(C,x * x,x \ (x \ y)) = a(C,y / x,x). [back_rewrite(71279),rewrite([71436(10)])].

71451 a(C * C,x,x \ y) = a(C,(C * y) / x,x). [back_rewrite(71266),rewrite([71436(7)]),flip(a)].

71454 (x * C) \ (y * (C * (y \ x))) = a(C,x / y,y). [back_rewrite(28795),rewrite([71436(12)])].

71457 a(C,x / y,y) = a(x,y,C / y). [back_rewrite(21421),rewrite([71442(6),71454(7)])].

71461 a(x * y,y,C / y) = a(C,x,y). [para(8(a,1),71457(a,1,2)),flip(a)].

71464 a(x * (C * y),y * C,0 / y) = a(C,x,y * C). [para(836(a,1),71457(a,1,2)),rewrite([22062(13)]),flip(a)].

71465 a(C,x / (C * y),C * y) = a(C,x / y,y). [para(1296(a,1),71457(a,2,3)),rewrite([22062(13),71436(12)])].

71473 a(x,y * C,0 / y) = a(C,x / y,y). [para(71457(a,2),2713(a,1)),rewrite([71465(7),21415(9)]),flip(a)].

71478 a(x \ y,y,C / y) = a(C,0 / x,y). [para(22209(a,1),71457(a,1,2)),flip(a)].

71489 a(x / y,x,C / x) = a(C,x / (x * y),x). [para(39001(a,1),71457(a,1,2)),flip(a)].

71506 a(C,x * (C * (x \ y)),x) = a(C,y,x * C). [back_rewrite(71464),rewrite([71473(8),39063(5)])].

71633 a(C,x,(x \ y) / x) = a(C,y,0 / x). [para(38831(a,1),71461(a,1,1)),rewrite([37973(7),22(6),71278(6),39134(3)])].

72052 (C / (x * (y * C))) * (x * y) = a(C,x / C,y). [para(13(a,1),2638(a,1,1)),rewrite([79(2),13(5,R),69615(7),79(10)])].

72056 a(C / x,C * x,y) = a(x,C / x,y * C). [para(99(a,1),2638(a,1,2)),rewrite([21066(2),43498(5),43479(11),69592(9),371(6),40683(7),43780(7)

,21066(7)])].

72058 x \ (y * (C * (y \ (x / C)))) = a(x / C,y,x). [para(53(a,1),2638(a,1,1)),rewrite([79(2),79(4),13(6,R),49(6),51671(4),79(6),31039(9),22

062(4),37973(4),4(4),71431(6),79(10),79(12),55957(14)])].

72065 a(C,(C * x) / y,y) = 0 / a(x,y,C * C). [para(245(a,2),2638(a,1,1)),rewrite([38235(5),27012(11),43867(8),43779(7),59743(12),71451(11)])

,flip(a)].

72085 a(C,x / C,C * (C * y)) = 0 / a(x,y,C * C). [para(681(a,1),2638(a,1,1)),rewrite([79(3),46918(8),49(6),27012(11),43720(8),45975(7),38295

(8),43779(7),79(9)]),flip(a)].

72096 x / a(y,z,z \ u) = x * a(z,z \ y,u). [para(2638(a,1),40787(a,2,2)),rewrite([38466(5)])].

72137 a(x,C / x,y * C) = a(x,C,C * (x \ y)). [para(38598(a,2),2638(a,2)),rewrite([99(5,R),13(4,R),43479(11),69592(9),371(6),40683(7),43780(7

),72056(5)])].

72159 a(C,x,(x \ y) * x) = 0 / a(y,x,C). [para(54827(a,2),2638(a,2)),rewrite([38130(5),38903(7)]),flip(a)].

72160 (C * (x * y)) \ (x * (y * C)) = 0 / a(x,y,C). [para(55958(a,2),2638(a,2)),rewrite([38187(5),13(3,R),72159(11)])].

72181 0 / a(x,C,y * (C * C)) = a(C,x / C,y). [para(1599(a,1),2638(a,1,1)),rewrite([79(3),45975(10),42459(8),27012(15),43720(12),46919(11),49

(9),43437(9),72052(8),39194(8),49(8),79(7),72085(14),53734(11)]),flip(a)].

72266 a(C,x,(C * x) \ y) = a(C,x,(x * C) \ y). [para(13(a,1),2639(a,1,1,2,2,1)),rewrite([2691(7)]),flip(a)].

72268 a(C,x / C,x \ y) = a(C,x,(x * C) \ y). [para(49(a,1),2639(a,1,1,2,2,1)),rewrite([31037(5),2691(7),49(12)]),flip(a)].

72305 a(x / (y * z),y,z) = a(x / y,y / z,z). [para(9(a,1),2640(a,1,1)),rewrite([40423(5)])].

72308 a(x,0 / C,C * y) = a(x,y / C,C). [para(13(a,2),2640(a,1,2)),rewrite([46102(7)])].

72354 (x * y) \ (C * (x * (y / C))) = a(x,y / C,C). [back_rewrite(46102),rewrite([72308(13)])].

72452 a(C,C * (C * (x * (C * C))),y) = a(x,C * y,C). [para(243(a,2),2643(a,1,2,1)),rewrite([25(8),25(10),25(20),45047(22),25(18),42788(21),3

8550(20),43437(23),69592(14),25(11),46919(20),38831(15),21415(13),21690(15),55427(15),2652(11),25(13)]),flip(a)].

72454 a(x,C,y * (C * C)) = a(x,C,y / C). [para(394(a,1),2643(a,1,1,2)),rewrite([99(6,R),13(5,R),13(12,R),49(12),99(14,R),13(13,R),43437(15),

69592(10),38547(7),21690(12),27012(10),43720(7),2661(8),49(8),13(9,R),49(9),53734(10)]),flip(a)].

72487 0 / a(x,C,y / C) = a(C,x / C,y). [back_rewrite(72181),rewrite([72454(7)])].

72493 a(x,C * y,C * C) = a(x,C,y / C). [back_rewrite(53734),rewrite([72454(12)])].

72571 a(C * (C * (x * (C * C))),y,z) = a(C * x,y,z). [para(107(a,2),2644(a,1,1)),rewrite([25(8),25(10),25(17),25(19),52(20),46584(19),43437(

21),21415(13),21690(18),31039(16),69592(10),21690(13),2664(11),79(6),49(7),25(11)]),flip(a)].

72578 a(C * x,C * C,y) = a(C,C * (C * x),y). [para(394(a,1),2644(a,1,2,1)),rewrite([25(8),46919(10),49(6),99(13,R),13(12,R),52(14),38550(13)

,43437(15),21415(10),21690(12),31039(10),43445(9),79(9),49(10),13(11,R),49(11)]),flip(a)].

72580 a(0 / C,x,y) = a(C * C,x,y). [para(564(a,2),2644(a,2,1)),rewrite([25(9),25(11),25(19),25(21),45047(22),25(18),46584(21),25(18),52(19),

43437(23),69592(14),25(11),46919(20),38831(15),69592(13),25(10),21690(15),27012(13),43720(10),31039(11),22353(10),79(8),39922(10),644(11),49(

8),72571(14)])].

72684 (C / (x * y)) * ((x / C) * y) = a(C * C,x,y). [back_rewrite(22353),rewrite([72580(11)])].

72726 a(x,C,C * (C * (C * y))) = a(x,C,y). [para(249(a,1),2646(a,1,2,1,2)),rewrite([13(5,R),13(7,R),99(18,R),13(17,R),43437(19),69592(12),38

547(9),21690(16),27012(14),43867(11),2653(8),49(6),53755(10)]),flip(a)].

72733 a(x,C,(C * y) * x) = a(C * C,x,y). [para(516(a,2),2646(a,1,2,1)),rewrite([13(8,R),13(10,R),99(24,R),13(23,R),43437(25),69592(15),38547

(12),21690(22),31039(20),22403(12),21690(17),31172(15),40001(10),49(7),7(7),43376(6),40497(9),79(7),49(8),72493(15),43867(12)]),flip(a)].

72739 a(x,C,C * (C * y)) = a(x,C,y / C). [para(872(a,1),2646(a,1,2,1,2)),rewrite([13(9,R),13(11,R),99(26,R),13(25,R),43437(27),69592(16),385

47(13),21690(24),27012(22),43720(19),39650(18),43437(16),69592(11),38547(8),21690(13),27012(11),43720(8),2661(9),49(9),49(8),53755(16),72726(

16)]),flip(a)].

72840 a(C,C * (C * x),C * y) = 0 / a(x,C,y). [para(249(a,1),2648(a,1,2,2,2)),rewrite([25(8),38550(9),41870(17),43437(19),21415(12),21690(16)

,31039(14),69592(9),21690(11),38904(9),39864(7),13(6,R),38831(8),21415(6),72578(12)]),flip(a)].

72859 a(x,C * C,C * (C * (C * y))) = a(C,x * C,y). [para(913(a,2),2648(a,2,1)),rewrite([25(16),489(17),13(30,R),489(33),43437(35),69592(20),

25(17),46919(32),38831(21),21415(19),21690(27),55427(27),2652(23),37890(10),72578(26),52404(26),52404(20)])].

72860 a(C,C * (C * x),y) = a(C,x / C,y). [para(983(a,1),2648(a,1,2,2,2)),rewrite([25(18),38550(19),38547(37),43437(39),21415(22),21690(36),3

1039(34),69592(19),38547(16),21690(31),27012(29),43720(26),46919(25),49(17),43437(23),69592(14),38547(11),21690(20),27012(18),43720(15),46918

(14),49(12),43437(12),43445(11),39194(13),49(13),39194(12),49(12),79(9),49(10),72859(24),13(11,R),72840(18),72739(13),72487(12)])].

72865 a(C,x,C * y) = a(C,x,y). [para(1719(a,1),2648(a,2,1)),rewrite([25(14),46584(15),25(10),46584(13),25(10),52(11),38550(10),13(26,R),4658

4(29),25(26),45047(27),25(23),38550(26),43437(31),69592(18),25(15),46919(28),38831(19),69592(17),25(14),46919(23),38831(18),69592(16),25(13),

21690(18),27012(16),46115(13),31039(14),21415(9),21690(11),31039(9),79(10),39922(12),644(13),49(10),50796(7),72578(18),72860(18),39194(15),43

885(14),99(13,R),13(12,R),49(12),72860(12),39194(9),49(9)])].

72904 a(C,x / C,y) = 0 / a(x,C,y). [back_rewrite(72840),rewrite([72865(8),72860(6)])].

72911 a(C,x * C,y) = a(x,C * y,C). [back_rewrite(72452),rewrite([72860(10),42459(7)])].

72924 (C / (x * (C * y))) * (x * y) = 0 / a(x,C,y). [back_rewrite(43445),rewrite([72860(13),72904(11)])].

72930 0 / a(x,y,C * C) = 0 / a(x,C,y). [back_rewrite(72085),rewrite([72865(8),72865(6),72904(4)]),flip(a)].

72956 a(C,x / (C * y),y) = a(C,x / y,y). [back_rewrite(71465),rewrite([72865(7)])].

72958 a(C,x,y * x) = a(C,x,y). [back_rewrite(71300),rewrite([72865(7),72865(5),72865(7)])].

73026 C * (x \ ((x / y) * (y / C))) = a(C,x,y). [back_rewrite(50796),rewrite([72865(11)])].

73080 0 / a(x,C,y / C) = 0 / a(x,C,y). [back_rewrite(72487),rewrite([72904(10)])].

73081 a(C,x,(x * C) \ y) = 0 / a(x,C,x \ y). [back_rewrite(72268),rewrite([72904(5)]),flip(a)].

73098 a(x / C,y,x) = 0 / a(x,C,y). [back_rewrite(55957),rewrite([72958(7),72904(4)]),flip(a)].

73136 a(C,(C * x) / y,y) = 0 / a(x,C,y). [back_rewrite(72065),rewrite([72930(11)])].

73137 ((x * y) \ ((C * x) * y)) / C = 0 / a(x,C,y). [back_rewrite(43779),rewrite([72930(13)])].

73148 a(x,C * y,x * C) = a(C,x,y * C). [back_rewrite(56127),rewrite([72958(5)]),flip(a)].

73161 a(x,y,x * C) = a(C,x,y). [back_rewrite(55958),rewrite([72958(3)]),flip(a)].

73162 a(x,y,C * x) = a(C,x,y). [back_rewrite(54827),rewrite([72958(3)]),flip(a)].

73163 a(C,x,(C * x) \ y) = 0 / a(x,C,x \ y). [back_rewrite(72266),rewrite([73081(10)])].

73167 a(C * C,x,x \ y) = 0 / a(y,C,x). [back_rewrite(71451),rewrite([73136(10)])].

73176 a(C,x,y * C) = a(C,x,y). [back_rewrite(73148),rewrite([73161(5),72865(4)]),flip(a)].

73181 a(C,x,x * (y \ x)) = a(C,x,x / y). [back_rewrite(56136),rewrite([73161(8)])].

73187 a(C,x,x / (x * y)) = a(C,x,x / y). [back_rewrite(56082),rewrite([73161(5)])].

73188 a(C,x,y \ x) = a(C,x,0 / y). [back_rewrite(56080),rewrite([73161(5)]),flip(a)].

73191 a(C,x,y / x) = a(C,x,y). [back_rewrite(54828),rewrite([73161(4)])].

73192 a(C,x,x \ (y / C)) = 0 / a(C,y,x). [back_rewrite(71314),rewrite([73162(9)])].

73195 a(C,x \ y,y) = a(C,x \ y,x). [back_rewrite(55956),rewrite([73162(5)]),flip(a)].

73218 a(C,x * (C * (x \ y)),x) = a(C,y,x). [back_rewrite(71506),rewrite([73176(10)])].

73221 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(54456),rewrite([73176(5)]),flip(a)].

73223 a(C,x,x \ y) = a(C,y,0 / x). [back_rewrite(71633),rewrite([73191(4)])].

73229 a(x,C / x,y) = 0 / a(y,C,x). [back_rewrite(73167),rewrite([73221(5),72096(5),21066(3),4(5)])].

73231 a(x,C,(C * y) * x) = 0 / a(C,x,y). [back_rewrite(72733),rewrite([73221(9)])].

73237 (C / (x * y)) * ((x / C) * y) = 0 / a(C,x,y). [back_rewrite(72684),rewrite([73221(11)])].

73295 a(C * x,C,y) = 0 / a(C,x,y). [back_rewrite(54453),rewrite([73221(4)]),flip(a)].

73298 (x \ (y * ((C / y) * x))) / C = 0 / a(C,x,y). [back_rewrite(40497),rewrite([73221(11)])].

73448 C * (x \ (y \ ((y / C) * x))) = a(C,x * y,x). [para(12(a,1),2651(a,1,1,2)),rewrite([13(9,R),38550(12),38324(10),43437(13),21415(9),216

90(10),31039(8),22062(5),21690(7),31039(5),72865(12)])].

73449 ((C * x) * y) \ (x * (C * y)) = 0 / a(x,C,y). [para(30(a,1),2651(a,1,1)),rewrite([13(7,R),49(7),72865(13),72904(11)])].

73457 a(C,C * x,y / C) = a(x,y,C). [para(388(a,1),2651(a,1,1,2)),rewrite([55159(7),13(7,R),388(10),39194(8),49(8),2652(7)]),flip(a)].

73458 a(C,x,x * (C * (x \ y))) = a(x,y / C,C). [para(402(a,1),2651(a,1,2)),rewrite([13(9,R),46919(11),38552(10),40032(8),38295(10),71439(6),

71448(8),43437(15),69592(10),25(7),21690(12),27012(10),46107(7),72354(8),49(8),13(13,R),46919(15),38552(14),40032(12),38295(14),71439(10),728

65(12)]),flip(a)].

73469 0 / a(x,y * x,C) = a(C,x * y,x). [para(38324(a,1),2651(a,1,1,2)),rewrite([13(7,R),59746(8),38903(9)])].

73477 a(C,x,y * (y * (C * x))) = a(C,x * y,x). [para(1152(a,1),2651(a,1,1,2)),rewrite([38547(18),43437(19),21415(12),21690(16),31039(14),224

21(8),21690(13),31039(11),22064(6),21690(10),410(8),79(7),43720(7),7(8),73448(7),72865(11)]),flip(a)].

73483 a(C,x * y,x) = 0 / a(C,x,y). [para(1927(a,2),2651(a,1,1,2)),rewrite([41331(14),31039(15),21415(8),21690(12),31039(10),22064(4),21690(9

),410(7),7(6),43376(5),79(7),73298(7),73477(10)]),flip(a)].

73485 a(C,x * C,y / C) = a(x,y,C). [para(2507(a,1),2651(a,1,1,2)),rewrite([55159(7),13(7,R),10(10),49(8),2652(7)]),flip(a)].

73555 a(C * x,y,C) = 0 / a(x,C,y). [para(76(a,1),2652(a,1,1)),rewrite([38547(5),31039(11),21415(6),21690(8),79(7),73137(7)]),flip(a)].

73563 a(x / (C * y),y,C) = a(x / y,y / C,C). [para(838(a,1),2652(a,1,1)),rewrite([40032(5),26983(7),72305(10)])].

73564 a(x / (y * C),C * y,C) = a(y,C / y,x). [para(838(a,1),2652(a,1,2,2)),rewrite([46919(8),60067(7),21699(8),21422(7)]),flip(a)].

73568 a(x,(y / x) * (C * (x * C)),C) = 0 / a(x,C,y). [para(402(a,1),2652(a,1,2,2)),rewrite([43351(9),13(7,R),43437(15),21415(10),21690(12),3

1039(10),72924(9),39864(7),13(6,R),38831(8),21415(6)]),flip(a)].

73575 a(x,y * (C * (x * C)),C) = a(C,x,y). [para(519(a,2),2652(a,1,2)),rewrite([43437(17),22403(11),21690(14),31039(12),22398(7),21690(11),3

1098(9),79(7),43886(7),71224(8),7(9),73026(7)]),flip(a)].

73579 a(x / C,y,x) = a(x / y,x,C). [para(38961(a,1),2652(a,1,2,2)),rewrite([39858(4),31098(9),43376(7),44545(7),22584(6),31037(6),55264(5),2

1066(3),79(5),71197(5),72058(7)])].

73632 0 / a(x,C,y) = a(C,x,y). [back_rewrite(73568),rewrite([73575(8),73191(3)]),flip(a)].

73656 a(C * x,y,C) = a(C,x,y). [back_rewrite(73555),rewrite([73632(8)])].

73662 ((C * x) * y) \ (x * (C * y)) = a(C,x,y). [back_rewrite(73449),rewrite([73632(11)])].

73667 a(x,C / x,y) = a(C,y,x). [back_rewrite(73229),rewrite([73632(7)])].

73669 a(C,x,(C * x) \ y) = a(C,x,x \ y). [back_rewrite(73163),rewrite([73632(10)])].

73679 a(x / C,y,x) = a(C,x,y). [back_rewrite(73098),rewrite([73632(7)])].

73690 a(C,x,y / C) = a(C,x,y). [back_rewrite(73080),rewrite([73632(6),73632(8)])].

73707 a(x / (y * C),C * y,C) = a(C,x,y). [back_rewrite(73564),rewrite([73667(10)])].

73710 a(x,C,C * (x \ y)) = a(C,y * C,x). [back_rewrite(72137),rewrite([73667(5)]),flip(a)].

73724 a(C,x,y) * a(C,y,y \ x) = 0. [back_rewrite(71301),rewrite([73667(3)])].

73732 a(x / y,x,C) = a(C,x,y). [back_rewrite(73579),rewrite([73679(3)]),flip(a)].

73735 a(C,x * C,y) = a(x,y,C). [back_rewrite(73485),rewrite([73690(6)])].

73736 a(C,C * x,y) = a(x,y,C). [back_rewrite(73457),rewrite([73690(6)])].

73737 a(C,x,x \ y) = 0 / a(C,y,x). [back_rewrite(71313),rewrite([73690(9),73669(7),73192(5)]),flip(a)].

73750 a(x,C,C * (x \ y)) = a(y,x,C). [back_rewrite(73710),rewrite([73735(9)])].

73759 a(x,C * y,C) = a(x,y,C). [back_rewrite(72911),rewrite([73735(4)]),flip(a)].

73925 a(x / y,y / C,C) = a(C,x,y). [back_rewrite(73707),rewrite([73759(7),72305(5)])].

73980 a(x,C * C,y) = a(x,y,C). [back_rewrite(2684),rewrite([73759(8)])].

73991 a(x / (C * y),y,C) = a(C,x,y). [back_rewrite(73563),rewrite([73925(10)])].

74095 a(x,y / C,C) = a(x,y,C). [back_rewrite(6935),rewrite([73980(6)])].

74216 a(C,x,x * (C * (x \ y))) = a(x,y,C). [back_rewrite(73458),rewrite([74095(10)])].

74349 a(x * (y * (C * C)),C,z) = 0 / a(C,(C * x) * y,z). [para(243(a,2),2653(a,1,2,1)),rewrite([46582(8),45203(16),31039(17),21415(9),21690(

14),31039(12),40310(11),79(13),73298(13)]),flip(a)].

74350 0 / a(C,x,y) = a(x,C,y). [para(245(a,2),2653(a,1,2,1)),rewrite([46582(9),13(6,R),52(7),38810(18),25(16),25(18),43437(19),69592(12),25(

9),21690(16),27012(14),43720(11),45975(10),38295(11),2653(8),49(6),74349(10),13(8,R),73736(9),73656(7)]),flip(a)].

74353 0 / a(x,y,C) = a(x,C,y). [para(458(a,1),2653(a,1,2)),rewrite([13(6,R),46584(11),25(8),42788(9),38550(8),38550(20),43437(23),69592(14),

25(11),46919(20),38831(15),69592(13),25(10),21690(15),27012(13),43720(10),31039(11),73237(10),74350(7),79(6),39922(8),644(9),49(6),13(8,R),73

295(12),73736(11),73656(9),73735(7)]),flip(a)].

74380 a(C,x,y) \ z = a(x,C,y) * z. [para(2653(a,1),40715(a,2,1)),rewrite([73662(7)])].

74388 x / a(C,y,z) = x * a(y,C,z). [para(2653(a,1),40787(a,2,2)),rewrite([73662(7)])].

74533 a(C,x,x \ y) = a(y,C,x). [back_rewrite(73737),rewrite([74388(7),4(7)])].

74535 a(C,x * y,x) = a(x,C,y). [back_rewrite(73483),rewrite([74388(7),4(7)])].

74574 a(x,C,(C * y) * x) = a(x,C,y). [back_rewrite(73231),rewrite([74388(9),4(9)])].

74583 a(x,C,y * x) = a(x,C,y). [back_rewrite(73469),rewrite([74353(5),74535(6)])].

74587 (C * (x * y)) \ (x * (y * C)) = a(x,C,y). [back_rewrite(72160),rewrite([74353(11)])].

74591 a(C,x * x,y) = a(x,C,x * y). [back_rewrite(39301),rewrite([74353(5)]),flip(a)].

74615 a(C,x,y) * a(x,C,y) = 0. [back_rewrite(73724),rewrite([74533(5)])].

74621 a(C,x,0 / y) = a(x,C,y). [back_rewrite(73223),rewrite([74533(3)]),flip(a)].

74648 a(C,x,y) = a(x,y,C). [back_rewrite(73218),rewrite([74535(6),73750(5)]),flip(a)].

74773 a(x,C,C * y) = a(x,C,y). [back_rewrite(74574),rewrite([74583(5)])].

74787 a(C,x,y \ x) = a(x,C,y). [back_rewrite(73188),rewrite([74621(7)])].

74984 a(C,x / y,y) = a(C,x,y). [back_rewrite(73991),rewrite([74648(5,R),72956(5)])].

75035 a(C,x / y,x) = a(C,x,y). [back_rewrite(73732),rewrite([74648(3,R)])].

75189 a(x,C,x \ y) = a(y,x,C). [back_rewrite(73750),rewrite([74773(5)])].

75261 a(x,y,C / y) = a(C,x,y). [back_rewrite(71457),rewrite([74984(3)]),flip(a)].

75264 a(C,x * x,x \ (x \ y)) = a(C,y,x). [back_rewrite(71450),rewrite([74984(8)])].

75269 a(C,0 / x,x * y) = a(C,y,x). [back_rewrite(71287),rewrite([74984(8)])].

75274 a(C,x,x * y) = a(C,x,y). [back_rewrite(71489),rewrite([75261(4),75035(3),75035(6)]),flip(a)].

75321 a(C,x \ y,y) = a(C,0 / x,y). [back_rewrite(71478),rewrite([75261(4)])].

75326 a(x,C,y) = a(y,x,C). [back_rewrite(74216),rewrite([75274(6),72865(5),74533(3)])].

75328 a(C,x,x / y) = a(x,C,y). [back_rewrite(73181),rewrite([75274(4),74787(3)]),flip(a)].

75394 a(x,C,x * y) = a(x,C,y). [back_rewrite(73187),rewrite([75328(4),75328(6)])].

75402 a(C,x * x,y) = a(x,C,y). [back_rewrite(74591),rewrite([75394(6)])].

75407 a(C,x \ y,x) = a(C,y,x). [back_rewrite(75264),rewrite([75402(5),75189(4),74648(3,R)])].

75420 a(C,x \ y,y) = a(C,y,x). [back_rewrite(73195),rewrite([75407(6)])].

75425 a(C,0 / x,y) = a(C,y,x). [back_rewrite(75321),rewrite([75420(3)]),flip(a)].

75427 a(C,x,y) = a(y,C,x). [back_rewrite(75269),rewrite([75425(5),74535(3)]),flip(a)].

75513 a(C,c4,c3) * (a(C,c4,c3) * a(C,c4,c3)) != 0. [back_rewrite(17),rewrite([75427(4,R),75427(8,R),75427(12,R)])].

75540 (C * (x * y)) * a(x,y,C) = (C * x) * y. [para(74648(a,1),15(a,1,2))].

75638 a(x,y,C) \ z = a(x,C,y) * z. [para(2654(a,1),40715(a,1,1)),rewrite([74587(10)])].

75646 x / a(y,z,C) = x * a(y,C,z). [para(2654(a,1),40787(a,1,2)),rewrite([74587(10)])].

75676 a(x,y,C) * a(x,C,y) = 0. [para(2654(a,1),40883(a,1,1)),rewrite([13(5,R),74587(9)])].

77120 a(x,y,C) * a(C,y,x) = 0. [para(2667(a,1),74615(a,1,2)),rewrite([73736(4),75427(6,R),73176(6)])].

77121 0 / (a(C,x,y) * a(C,x,y)) = a(x,C,y) * a(x,C,y). [para(74615(a,1),22063(a,1,2)),rewrite([74380(5),22(7)]),flip(a)].

77133 a(C,x,y) * a(C,y,x) = 0. [para(75427(a,2),74615(a,1,2))].

77998 0 / (a(x,y,C) * a(x,y,C)) = a(x,C,y) * a(x,C,y). [para(75676(a,1),22063(a,1,2)),rewrite([75638(5),22(7)]),flip(a)].

78941 a(x,y,C) * a(y,C,x) = a(x,y,C) * a(x,y,C). [para(77120(a,1),85(a,1,1,2)),rewrite([5(4),74388(5)])].

78943 a(C,x,y) * a(y,C,x) = a(y,C,x) * a(y,C,x). [para(77120(a,1),22064(a,1,2,2)),rewrite([5(6),75646(5),77998(12)])].

78948 a(C,x,y) * a(C,x,y) = a(C,x,y) * a(y,C,x). [para(77120(a,1),39893(a,1,2)),rewrite([75646(5),5(7)]),flip(a)].

78949 a(x,C,y) * a(x,C,y) = a(y,x,C) * a(x,C,y). [para(77120(a,1),43564(a,1,1)),rewrite([77121(7),74388(10)])].

178454 a(x,y,C) * a(x,y,C) = a(x,C,y). [para(22420(a,1),39893(a,1,1)),rewrite([75540(11),21690(9),2653(7)]),flip(a)].

178460 a(x,y,C) * a(y,C,x) = a(x,C,y). [back_rewrite(78941),rewrite([178454(10)])].

178461 a(x,C,y) * a(x,C,y) = a(y,C,x). [back_rewrite(78949),rewrite([178460(10)])].

178465 a(C,x,y) * a(y,C,x) = a(x,C,y). [back_rewrite(78943),rewrite([178461(10)])].

178471 a(C,x,y) * a(C,x,y) = a(x,C,y). [back_rewrite(78948),rewrite([178465(10)])].

178472 $F. [back_rewrite(75513),rewrite([178471(13),75326(8),74648(8,R),77133(9)]),xx(a)].

============================== end of proof ==========================

============================== PROOF =================================

% Proof 2 at 639.60 (+ 2.42) seconds.

% Length of proof is 1156.

% Level of proof is 79.

% Maximum clause weight is 39.000.

% Given clauses 7121.

3 a(x,y,C) * (a(x,y,C) * a(x,y,C)) = 0 # label(non_clause) # label(goal). [goal].

4 0 * x = x. [assumption].

5 x * 0 = x. [assumption].

6 x * (x \ y) = y. [assumption].

7 x \ (x * y) = y. [assumption].

8 (x * y) / y = x. [assumption].

9 (x / y) * y = x. [assumption].

10 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

11 x * ((y * C) * x) = (x * y) * (C * x). [assumption].

12 (x * y) * (C * x) = x * ((y * C) * x). [copy(11),flip(a)].

13 C * x = x * C. [assumption].

14 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

15 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(14),flip(a)].

18 a(c5,c6,C) * (a(c5,c6,C) * a(c5,c6,C)) != 0. [deny(3)].

19 0 \ x = x. [para(6(a,1),4(a,1)),flip(a)].

20 x \ x = 0. [para(5(a,1),7(a,1,2))].

21 x / x = 0. [para(4(a,1),8(a,1,1))].

22 x / 0 = x. [para(5(a,1),8(a,1,1))].

23 x / (y \ x) = y. [para(6(a,1),8(a,1,1))].

24 (x / y) \ x = y. [para(9(a,1),7(a,1,2))].

25 (x * x) * y = x * (x * y). [para(4(a,1),10(a,1,1,2)),rewrite([4(5)])].

26 x * (y * (x * ((x * (y * x)) \ z))) = z. [para(10(a,1),6(a,1))].

27 (x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z. [para(6(a,1),10(a,1,1,2)),flip(a)].

28 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(10(a,1),7(a,1,2))].

29 (x * (y * (x * z))) / z = x * (y * x). [para(10(a,1),8(a,1,1))].

30 x * ((y / x) * (x * z)) = (x * y) * z. [para(9(a,1),10(a,1,1,2)),flip(a)].

31 (x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))). [para(10(a,1),10(a,1,1,2)),rewrite([10(9)])].

33 x * ((C * (x \ y)) * x) = y * (C * x). [para(6(a,1),12(a,1,1)),rewrite([13(6,R)]),flip(a)].

35 (x * y) \ (x * ((y * C) * x)) = C * x. [para(12(a,1),7(a,1,2))].

37 (x / y) * ((y * C) * (x / y)) = x * (C * (x / y)). [para(9(a,1),12(a,1,1)),flip(a)].

39 ((C * x) * (x * ((y * C) * x))) * z = (C * x) * ((x * y) * ((C * x) * z)). [para(12(a,1),10(a,1,1,2))].

40 x * ((C * (y * x)) * x) = x * (y * (x * (C * x))). [para(12(a,1),10(a,1)),rewrite([13(3,R)])].

42 (x * (y * (x * z))) * (C * (x * (y * x))) = x * (y * (x * ((z * C) * (x * (y * x))))). [para(10(a,1),12(a,1,1)),rewrite([10(16)])].

43 x * ((C * (y * (z * y))) * x) = x * ((y * (z * (y * C))) * x). [para(10(a,1),12(a,2,2,1)),rewrite([12(6),13(4,R)])].

45 C \ (x * C) = x. [para(13(a,1),7(a,1,2))].

46 x \ (C * x) = C. [para(13(a,2),7(a,1,2))].

48 (C * x) / C = x. [para(13(a,2),8(a,1,1))].

49 C * (x / C) = x. [para(13(a,2),9(a,1))].

50 (x * (x * C)) * y = x * (C * (x * y)). [para(13(a,1),10(a,1,1,2))].

51 C * (x * (C * y)) = C * (x * (y * C)). [para(13(a,1),10(a,2,2,2)),rewrite([10(5)])].

52 (C * (C * x)) * y = C * (x * (C * y)). [para(13(a,2),10(a,1,1,2))].

53 C * (x * (y * x)) = x * (y * (x * C)). [para(13(a,2),10(a,1))].

54 C * (x * (y * x)) = x * (y * (C * x)). [para(13(a,2),10(a,2,2,2)),rewrite([13(4,R)])].

56 (x * y) * (x * C) = x * ((y * C) * x). [para(13(a,1),12(a,1,2))].

57 (C * x) * (C * x) = x * (C * (C * x)). [para(13(a,2),12(a,1,1)),rewrite([25(9)])].

63 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(6(a,1),15(a,1,1,2))].

64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(15(a,1),7(a,1,2))].

66 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(9(a,1),15(a,1,1,2))].

67 x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z. [para(9(a,1),15(a,1,1))].

69 x * (y * (x * a(x,y,x))) = (x * y) * x. [para(15(a,1),10(a,1)),flip(a)].

71 (x * (y * (x * (z * u)))) * a(x * (y * x),z,u) = (x * (y * (x * z))) * u. [para(10(a,1),15(a,1,1)),rewrite([10(11)])].

73 (x * (y * ((z * C) * y))) * a(x,y * z,C * y) = (x * (y * z)) * (C * y). [para(12(a,1),15(a,1,1,2))].

75 (x * (y * C)) * a(x,C,y) = (x * C) * y. [para(13(a,1),15(a,1,1,2))].

76 (C * x) * y = (x * C) * y. [para(13(a,1),15(a,2,1)),rewrite([15(6)])].

77 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(13(a,2),15(a,1,1,2)),rewrite([13(9,R)])].

79 C \ x = x / C. [para(9(a,1),45(a,1,2))].

83 x * (x * ((x * x) \ y)) = y. [para(25(a,1),6(a,1))].

85 (x * (x * y)) / y = x * x. [para(25(a,1),8(a,1,1))].

86 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(25(a,1),10(a,1,1,2)),rewrite([25(7)])].

91 C * (x * x) = x * (x * C). [para(25(a,1),13(a,2))].

92 C * (C * x) = C * (x * C). [para(13(a,1),25(a,2,2)),rewrite([25(4)])].

93 C * (x * x) = x * (C * x). [para(13(a,2),25(a,2,2)),rewrite([13(3,R)])].

94 (x * (y * (y * z))) * a(x,y * y,z) = (x * (y * y)) * z. [para(25(a,1),15(a,1,1,2))].

95 (x * (x * (y * z))) * a(x * x,y,z) = (x * (x * y)) * z. [para(25(a,1),15(a,1,1)),rewrite([25(8)])].

99 C * (x * C) = x * (C * C). [para(49(a,1),12(a,1,1)),rewrite([13(9,R),49(9)]),flip(a)].

100 (x * y) * a(x,C,y / C) = (x * C) * (y / C). [para(49(a,1),15(a,1,1,2))].

101 (x * C) * ((C * x) \ y) = y. [para(76(a,1),6(a,1))].

102 (C * x) * ((x * C) \ y) = y. [para(76(a,2),6(a,1))].

103 (C * x) \ ((x * C) * y) = y. [para(76(a,1),7(a,1,2))].

104 (x * C) \ ((C * x) * y) = y. [para(76(a,2),7(a,1,2))].

106 ((x * C) * (y * (C * x))) * z = (C * x) * (y * ((C * x) * z)). [para(76(a,1),10(a,1,1))].

107 (C * x) * (y * ((C * x) * z)) = (C * x) * (y * ((x * C) * z)). [para(76(a,1),10(a,2,2,2)),rewrite([10(7)])].

108 ((C * x) * (y * (x * C))) * z = (x * C) * (y * ((x * C) * z)). [para(76(a,2),10(a,1,1))].

109 (x * C) * (y * ((C * x) * z)) = (x * C) * (y * ((x * C) * z)). [para(76(a,2),10(a,2,2,2)),rewrite([10(7)]),flip(a)].

110 (C * (x * (y * x))) * z = (x * (y * (x * C))) * z. [para(10(a,1),76(a,2,1))].

113 (x * ((y * C) * z)) * a(x,C * y,z) = (x * (C * y)) * z. [para(76(a,1),15(a,1,1,2))].

114 ((x * C) * (y * z)) * a(C * x,y,z) = ((C * x) * y) * z. [para(76(a,1),15(a,1,1))].

115 ((C * x) * y) * z = ((x * C) * y) * z. [para(76(a,1),15(a,2,1)),rewrite([15(8)])].

120 (C * x) * ((C * x) * y) = x * (C * (C * (x * y))). [para(76(a,1),25(a,1,1)),rewrite([12(5),25(4),86(6)]),flip(a)].

123 ((C * x) * (x * C)) * y = (x * C) * ((x * C) * y). [para(76(a,2),25(a,1,1))].

124 (C * (x * x)) * y = x * (C * (x * y)). [para(25(a,1),76(a,2,1)),rewrite([50(8)])].

125 x * (y * ((y * (x * y)) \ z)) = y \ z. [para(26(a,1),7(a,1,2)),flip(a)].

139 x * ((x * x) \ y) = x \ y. [para(83(a,1),7(a,1,2)),flip(a)].

150 (x * y) / (x \ y) = x * x. [para(6(a,1),85(a,1,1,2))].

155 (C * (x * C)) / x = C * C. [para(13(a,1),85(a,1,1,2))].

161 (C * x) * (x * C) = x * (C * (C * x)). [para(76(a,2),85(a,2)),rewrite([85(7),56(5),25(4)]),flip(a)].

164 (x * C) * ((x * C) * y) = x * (C * (C * (x * y))). [back_rewrite(123),rewrite([161(5),86(6)]),flip(a)].

165 x \ (C * (x * x)) = x * C. [para(91(a,2),7(a,1,2))].

167 C * ((x / C) * (x / C)) = (x / C) * x. [para(9(a,1),91(a,2,2))].

169 C * (x * (C * (y * y))) = C * (x * (y * (y * C))). [para(91(a,1),10(a,2,2,2)),rewrite([10(6)])].

174 C * (x * (x * x)) = x * (C * (x * x)). [para(91(a,2),10(a,2,2)),rewrite([13(4,R)])].

191 (x * ((x \ y) * z)) * ((x \ y) * ((x * ((x \ y) * z)) * u)) = ((x * ((x \ y) * z)) * (((x \ y) * y) * z)) * u. [para(27(a,1),10(a,1,1,2)

),flip(a)].

197 (((x \ y) * y) * z) * a(x \ y,x,(x \ y) * z) = ((x \ y) * x) * ((x \ y) * z). [para(27(a,1),15(a,1,1))].

216 (x / C) * (C * x) = C * ((x / C) * x). [para(92(a,2),27(a,1,2)),rewrite([79(2),79(6),49(7),79(7),13(10,R)])].

236 (x * (C * C)) / C = x * C. [para(99(a,1),7(a,1,2)),rewrite([79(6)])].

237 x \ (C * (x * C)) = C * C. [para(99(a,2),7(a,1,2))].

242 (x * (C * C)) * y = C * (x * (C * y)). [para(99(a,1),10(a,1,1))].

243 C * (x * (C * (y * C))) = C * (x * (y * (C * C))). [para(99(a,1),10(a,2,2,2)),rewrite([10(7)])].

244 C * (x * (C * x)) = x * (x * (C * C)). [para(99(a,1),10(a,2,2)),rewrite([13(5,R)])].

245 C * (C * (x * (y * x))) = x * (y * (x * (C * C))). [para(99(a,2),10(a,1)),rewrite([13(5,R)])].

246 C * (C * (x * (y * x))) = x * (y * (C * (x * C))). [para(99(a,2),10(a,2,2,2)),rewrite([99(6,R),13(5,R)])].

249 C * (C * x) = x * (C * C). [para(13(a,2),99(a,1,2))].

251 (x * (C * (y * C))) * a(x,y,C * C) = C * (C * (x * y)). [para(99(a,2),15(a,1,1,2)),rewrite([99(15,R),13(14,R)])].

254 C * (C * (x * x)) = x * (x * (C * C)). [para(99(a,2),25(a,1)),rewrite([13(4,R)])].

259 (x * C) * (x * (C * C)) = C * (x * (C * (C * x))). [para(99(a,1),93(a,2,2)),rewrite([56(6),25(5)]),flip(a)].

260 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(6(a,1),28(a,1,2,2,2))].

265 (C * (C * (x * y))) \ (C * (x * ((y * C) * x))) = x. [para(12(a,1),28(a,1,2,2)),rewrite([13(4,R)])].

291 (C * x) \ y = (x * C) \ y. [para(101(a,1),7(a,1,2)),flip(a)].

292 (x * (y * (x * C))) * ((C * (x * (y * x))) \ z) = z. [para(10(a,1),101(a,1,1))].

295 x * (C * (C * (x * ((C * x) \ y)))) = (x * C) * y. [para(101(a,1),25(a,2,2)),rewrite([56(5),25(4),86(9)])].

300 (C * x) * ((C * ((x * C) \ y)) * (C * x)) = y * (C * (C * x)). [para(102(a,1),12(a,1,1)),rewrite([13(12,R)]),flip(a)].

301 ((C * C) \ x) * x = (x / C) * (x / C). [para(102(a,1),12(a,2,2)),rewrite([13(6,R),139(6),79(2),139(8),79(4)]),flip(a)].

302 (x * y) * a(x,C * z,(z * C) \ y) = (x * (C * z)) * ((z * C) \ y). [para(102(a,1),15(a,1,1,2))].

305 (C * x) \ (x * C) = 0. [para(5(a,1),103(a,1,2))].

317 (x * (y * z)) / (x \ z) = x * (y * x). [para(6(a,1),29(a,1,1,2,2))].

318 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(9(a,1),29(a,1,1,2,2))].

319 x * ((y / (x * z)) * x) = (x * y) / z. [para(9(a,1),29(a,1,1,2)),flip(a)].

322 ((x * y) * (z * (x * ((y * C) * x)))) / (C * x) = (x * y) * (z * (x * y)). [para(12(a,1),29(a,1,1,2,2))].

323 (C * (x * ((y * C) * x))) / x = C * (C * (x * y)). [para(12(a,1),29(a,1,1,2)),rewrite([13(11,R)])].

325 (x * (y * (C * x))) / C = x * (y * x). [para(13(a,2),29(a,1,1,2,2))].

327 (x * (y * (y * (x * z)))) / z = x * (y * (y * x)). [para(25(a,1),29(a,1,1,2)),rewrite([25(7)])].

356 (x * C) \ (C * (x * (C * (C * x)))) = C * (C * x). [para(91(a,2),104(a,1,2)),rewrite([57(8),13(14,R)])].

371 (x * y) * (x \ z) = x * ((y / x) * z). [para(6(a,1),30(a,1,2,2)),flip(a)].

372 x \ ((x * y) * z) = (y / x) * (x * z). [para(30(a,1),7(a,1,2))].

374 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) * y. [para(9(a,1),30(a,1,2,2))].

380 C * ((x / C) * (y * C)) = (C * x) * y. [para(13(a,1),30(a,1,2,2))].

381 x * ((y / x) * (C * x)) = C * (x * y). [para(13(a,2),30(a,1,2,2)),rewrite([13(8,R)])].

386 ((C * x) * y) / C = (x / C) * (C * y). [para(30(a,1),48(a,1,1))].

388 (C * x) * (y / C) = C * ((x / C) * y). [para(49(a,1),30(a,1,2,2)),flip(a)].

389 (x * C) * ((y / (C * x)) * ((C * x) * z)) = ((C * x) * y) * z. [para(30(a,1),76(a,1)),flip(a)].

390 (C * x) * ((y / (x * C)) * ((x * C) * z)) = ((x * C) * y) * z. [para(30(a,1),76(a,2))].

394 C * ((x / C) * (y * (y * C))) = (C * x) * (y * y). [para(91(a,1),30(a,1,2,2))].

401 C * ((x / C) * (y * (C * C))) = (C * x) * (y * C). [para(99(a,1),30(a,1,2,2))].

402 x * ((y / x) * (C * (x * C))) = C * (C * (x * y)). [para(99(a,2),30(a,1,2,2)),rewrite([99(12,R),13(11,R)])].

403 ((x * C) * y) * ((C * x) \ z) = (x * C) * ((y / (x * C)) * z). [para(101(a,1),30(a,1,2,2)),flip(a)].

405 (C * x) \ (((x * C) * y) * z) = (y / (x * C)) * ((x * C) * z). [para(30(a,1),103(a,1,2))].

408 (x * C) \ (((C * x) * y) * z) = (y / (C * x)) * ((C * x) * z). [para(30(a,1),104(a,1,2))].

410 (x * x) \ y = x \ (x \ y). [para(139(a,1),7(a,1,2)),flip(a)].

417 x / (y \ (y \ x)) = y * y. [para(139(a,1),85(a,1,1,2)),rewrite([6(2),410(2)])].

420 ((x / C) / C) * x = (x / C) * (x / C). [back_rewrite(301),rewrite([410(4),79(3),79(4)])].

423 x / (x \ 0) = x * x. [para(5(a,1),150(a,1,1))].

428 (x * C) / (x / C) = C * C. [para(13(a,1),150(a,1,1)),rewrite([79(4)])].

429 (C * x) / (x \ C) = x * x. [para(13(a,2),150(a,1,1))].

436 (x * (C * C)) / x = C * C. [para(99(a,1),150(a,1,1)),rewrite([79(8),8(8)])].

444 (0 / x) * (0 / x) = (0 / x) / x. [para(24(a,1),423(a,1,2)),flip(a)].

458 (x * (C * (x * ((y * C) * x)))) * z = x * (C * ((x * y) * (C * (x * z)))). [para(12(a,1),31(a,1,1,2,2))].

463 (C * (x * (y * (C * x)))) * z = C * (x * (y * (x * (C * z)))). [para(13(a,2),31(a,1,1,2,2,2))].

489 (x * (x * (C * (y * (x * (x * C)))))) * z = x * (x * (C * (y * (C * (x * (x * z)))))). [para(91(a,1),31(a,1,1,2,2,2)),rewrite([25(8),25(

14),25(18)])].

516 C * (x * (C * (y * (C * x)))) = x * (C * (y * (x * (C * C)))). [para(99(a,1),31(a,2,2,2,2)),rewrite([13(8,R)])].

519 C * (C * (x * (y * (x * C)))) = C * (x * (y * (C * (x * C)))). [para(99(a,2),31(a,2,2,2,2)),rewrite([13(8,R)])].

545 (x * (C * (x * C))) * y = x * (C * (C * (x * y))). [para(155(a,1),30(a,1,2,1)),rewrite([25(5)]),flip(a)].

559 x \ (y * (C * x)) = (C * (x \ y)) * x. [para(33(a,1),7(a,1,2))].

562 x * ((C * (x \ y)) * (x * z)) = (y * (C * x)) * z. [para(33(a,1),10(a,1,1)),flip(a)].

564 C * (C * (C * x)) = x * (C * (C * C)). [para(12(a,1),33(a,1,2)),rewrite([410(8),79(7),79(8),13(10,R),49(10),13(8,R),49(8),25(6)])].

565 x * (C * y) = x * (y * C). [para(13(a,1),33(a,2,2)),rewrite([33(5)])].

577 x * (C * (y * C)) = x * (y * (C * C)). [para(99(a,1),33(a,2,2)),rewrite([33(11)])].

644 C * (x / (C * C)) = x / C. [para(9(a,1),236(a,1,1)),rewrite([13(8,R)]),flip(a)].

646 (C * (x * (C * C))) * y = C * ((x * C) * (C * y)). [para(236(a,1),30(a,1,2,1)),flip(a)].

648 (x / C) \ (C * x) = C * C. [para(9(a,1),237(a,1,2,2))].

650 (C * (x \ C)) * x = C * C. [para(13(a,2),237(a,1,2,2)),rewrite([559(5)])].

681 C * (x * (C * (C * y))) = C * (x * (y * (C * C))). [para(249(a,1),10(a,2,2,2)),rewrite([10(7)])].

686 (x * (C * (C * y))) * a(x,y,C * C) = C * (C * (x * y)). [para(249(a,2),15(a,1,1,2)),rewrite([99(15,R),13(14,R)])].

703 C * (C * (x * (C * (C * y)))) = C * (C * (x * (y * (C * C)))). [para(249(a,1),31(a,2,2,2,2)),rewrite([31(9)])].

707 x * (C * (C * y)) = x * (y * (C * C)). [para(249(a,1),33(a,2,2)),rewrite([33(11)])].

727 (C * (C * x)) \ y = (x * (C * C)) \ y. [para(249(a,1),291(a,1,1)),rewrite([13(9,R)]),flip(a)].

733 (x / (y * (z * y))) * ((y * (z * (y * C))) * (x / (y * (z * y)))) = x * (C * (x / (y * (z * y)))). [para(10(a,1),37(a,1,2,1))].

735 C * ((x / C) * x) = x * x. [para(13(a,1),37(a,1,2,1)),rewrite([25(8),49(7),216(5),49(9)])].

746 (x * y) * (C * (x * x)) = x * ((y * (C * x)) * x). [para(150(a,1),37(a,1,1)),rewrite([13(4,R),150(7),25(7),562(6),150(10)]),flip(a)].

752 (x / C) * (C * x) = x * x. [back_rewrite(216),rewrite([735(10)])].

756 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [para(25(a,1),410(a,1,1)),rewrite([410(7),410(8)])].

768 (x * C) * (C * (C * C)) = C * (C * (x * (C * C))). [para(428(a,1),37(a,1,1)),rewrite([13(7,R),49(7),428(8),25(8),428(16)]),flip(a)].

770 (C * (C / x)) / x = (C / x) * (C / x). [para(24(a,1),429(a,1,2))].

813 (C * (x * (C * (y * (C * (C * x)))))) * z = C * (x * (C * (y * (C * (x * (C * z)))))). [para(102(a,1),39(a,2,2,1)),rewrite([13(11,R),300

(15),52(10),52(20),52(22)])].

829 x / (x / (C * C)) = C * C. [para(9(a,1),436(a,1,1))].

835 (x * (y * C)) / (C * y) = x. [para(565(a,1),8(a,1,1))].

836 (x * (C * y)) / (y * C) = x. [para(565(a,2),8(a,1,1))].

837 (x / (C * y)) * (y * C) = x. [para(565(a,1),9(a,1))].

838 (x / (y * C)) * (C * y) = x. [para(565(a,2),9(a,1))].

844 (x * (y * (z * C))) * a(x,y,C * z) = (x * y) * (C * z). [para(565(a,1),15(a,1,1,2))].

846 (x * (y * (C * z))) * a(x,y,z * C) = (x * y) * (z * C). [para(565(a,2),15(a,1,1,2))].

849 (C * x) * (C * y) = (x * C) * (y * C). [para(565(a,1),76(a,2))].

852 (x * (y * (x * (z * C)))) / (C * z) = x * (y * x). [para(565(a,1),29(a,1,1,2,2))].

866 (C * (x * y)) * y = x * (y * (C * y)). [para(40(a,1),7(a,1,2)),rewrite([7(6)]),flip(a)].

867 (x * (y * (x * (C * x)))) * z = x * ((C * (y * x)) * (x * z)). [para(40(a,1),10(a,1,1))].

872 C * (C * (C * (C * x))) = C * (x * (C * (C * C))). [para(13(a,2),40(a,1,2,1,2)),rewrite([13(7,R)])].

913 C * (C * (C * (C * (C * (x * C))))) = C * (C * (C * (x * (C * (C * C))))). [para(40(a,1),40(a,1,2,1)),rewrite([13(11,R),746(23),99(20,R)

,13(19,R),13(22,R)]),flip(a)].

914 (x / C) / C = x / (C * C). [para(644(a,1),7(a,1,2)),rewrite([79(4)])].

915 (x / C) / (x / (C * C)) = C. [para(644(a,1),8(a,1,1))].

922 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(644(a,1),30(a,1,2,2)),flip(a)].

933 (x / (C * C)) * x = (x / C) * (x / C). [back_rewrite(420),rewrite([914(4)])].

935 (x / C) \ (x * C) = C * C. [para(13(a,1),648(a,1,2))].

936 (C * x) / (C * C) = x / C. [para(648(a,1),23(a,1,2))].

940 (x * x) / (C * C) = (x / C) * (x / C). [para(648(a,1),150(a,1,2)),rewrite([752(5)])].

942 (x / C) * (C * (C * x)) = (C * x) * x. [para(648(a,1),33(a,1,2,1,2)),rewrite([50(10),49(8),49(13)])].

949 (x * (y * z)) * (C * (x * (y * x))) = x * (y * ((z * (C * x)) * (y * x))). [para(6(a,1),42(a,1,1,2,2)),rewrite([13(10,R),562(14)])].

960 x * (y * (x * ((C * z) * (x * (y * x))))) = x * (y * (x * ((z * C) * (x * (y * x))))). [para(13(a,2),42(a,2,2,2,2,1)),rewrite([949(8),12

(4),10(6)]),flip(a)].

983 C * (C * (C * (C * (C * (C * (C * x)))))) = C * (C * (C * (C * (C * (x * (C * C)))))). [para(91(a,1),42(a,1,2,2)),rewrite([949(14),99(8,

R),13(7,R),99(12,R),13(11,R),768(25)])].

1040 (C * (x \ C)) \ (C * C) = x. [para(650(a,1),7(a,1,2))].

1041 (C * C) / x = C * (x \ C). [para(650(a,1),8(a,1,1))].

1045 (C * x) * (C / x) = C * C. [para(24(a,1),650(a,1,1,2))].

1060 (x * x) / C = (x / C) * x. [para(735(a,1),7(a,1,2)),rewrite([79(3)])].

1097 (x * x) / (C * x) = x / C. [para(752(a,1),8(a,1,1))].

1099 (C * x) * x = C * (x * x). [para(752(a,1),10(a,2,2)),rewrite([13(5,R),49(5)])].

1110 (C * (x * x)) / x = C * x. [para(752(a,1),29(a,1,1,2)),rewrite([13(9,R),49(9)])].

1122 (x / C) * (C * (C * x)) = C * (x * x). [back_rewrite(942),rewrite([1099(10)])].

1133 (x / (C * C)) * (C * (C * ((x / (C * C)) * y))) = (x / C) * ((x / C) * y). [para(829(a,1),30(a,1,2,1)),rewrite([25(13),933(19),25(20)])

].

1152 x * (C * (y * (y * (C * x)))) = x * (y * (C * (C * (y * x)))). [para(13(a,1),43(a,1,2,1,2,2)),rewrite([86(6),545(13)])].

1296 x / (C * y) = x / (y * C). [para(9(a,1),835(a,1,1))].

1363 C * (x * (C * (x * (C * ((C * x) \ y))))) = (x * C) * (C * y). [para(101(a,1),50(a,2,2,2)),rewrite([13(6,R),93(7,R),56(6),25(5),463(11)

])].

1425 x * a(x / (C * y),y,C) = C * ((x / (C * y)) * y). [para(837(a,1),15(a,1,1)),rewrite([13(12,R)])].

1437 C * (x * ((y / (C * x)) * (x * (C * z)))) = (C * (x * y)) * z. [para(837(a,1),31(a,1,1,2,2)),flip(a)].

1446 (x / (y * (z * (y * C)))) * (C * (y * (z * y))) = x. [para(10(a,1),838(a,1,1,2))].

1447 (x * y) * a(x,y / (z * C),C * z) = (x * (y / (z * C))) * (C * z). [para(838(a,1),15(a,1,1,2))].

1448 x * a(x / (y * C),C,y) = (C * (x / (y * C))) * y. [para(838(a,1),15(a,1,1)),rewrite([13(11,R)])].

1460 (x * C) / (C * C) = x / C. [para(8(a,1),914(a,1,1)),flip(a)].

1466 (x / (C * C)) / C = (x / C) / (C * C). [para(914(a,1),914(a,1,1))].

1541 (x * C) * x = C * (x * x). [para(935(a,1),33(a,1,2,1,2)),rewrite([50(10),49(8),1122(7),49(9)]),flip(a)].

1544 (x * (C * (C * C))) / C = C * (x * C). [para(936(a,1),29(a,1))].

1546 (x * (C * y)) / C = (x * (y * C)) / C. [para(51(a,1),936(a,1,1)),rewrite([936(9)]),flip(a)].

1547 (C * x) \ (C * C) = C / x. [para(24(a,1),1040(a,1,1,2))].

1599 C * (x * (C * (C * (C * y)))) = C * (x * (C * (y * (C * C)))). [para(52(a,1),51(a,2,2,2))].

1607 x * (C / (x / C)) = C * C. [para(6(a,1),1045(a,1,1)),rewrite([79(3)])].

1611 (x * C) * (C / x) = C * C. [para(13(a,1),1045(a,1,1))].

1654 C * ((x / C) * (y * (x / C))) = (x / C) * (y * x). [para(9(a,1),53(a,2,2,2))].

1719 C * (C * (C * (C * (C * x)))) = C * (C * (x * (C * (C * C)))). [para(249(a,2),53(a,1,2,2)),rewrite([25(9),13(18,R),25(20)])].

1803 (x / C) * x = x * (x / C). [para(6(a,1),1099(a,1,1)),rewrite([79(2),79(6),79(8),167(10)]),flip(a)].

1804 (C * x) \ (C * (x * x)) = x. [para(1099(a,1),7(a,1,2))].

1880 (x * x) / C = x * (x / C). [back_rewrite(1060),rewrite([1803(6)])].

1883 C * (x * (x / C)) = x * x. [back_rewrite(735),rewrite([1803(4)])].

1925 (C * (x * (y * x))) * a(x,y,C * x) = x * ((y * C) * x). [para(54(a,2),15(a,1,1)),rewrite([12(12)])].

1927 C * (x * (y * (y * x))) = x * (y * (y * (C * x))). [para(25(a,1),54(a,1,2,2)),rewrite([25(9)])].

1939 (x * (y * (C * x))) \ (C * (x * (y * x))) = 0. [para(54(a,1),305(a,1,1)),rewrite([13(8,R)])].

2024 (x * (x * C)) / x = C * x. [para(91(a,1),1110(a,1,1))].

2045 x / (C * (C * (C * y))) = x / (C * (y * (C * C))). [para(52(a,1),1296(a,2,2))].

2071 (C * (x \ 0)) * (x * x) = C * x. [para(1541(a,1),35(a,1,2,2)),rewrite([559(6),410(3),20(2)])].

2075 x \ (C * C) = C / (x / C). [para(6(a,1),1547(a,1,1)),rewrite([79(7)])].

2076 (C * x) \ (C / x) = C / (x * (C * x)). [para(1547(a,1),410(a,2,2)),rewrite([57(5),2075(9),325(8)]),flip(a)].

2078 C / (x * (C * y)) = C / (x * (y * C)). [para(51(a,1),1547(a,1,1)),rewrite([2075(9),48(8)]),flip(a)].

2149 C * ((x * C) * (C * (C / (C * (C * x))))) = C * C. [para(52(a,1),1611(a,1,1)),rewrite([646(13)])].

2159 (x * (x / C)) / C = (x / C) * (x / C). [para(1803(a,1),150(a,1,1)),rewrite([24(6)])].

2166 (C * x) \ (x * (x * C)) = x. [para(91(a,1),1804(a,1,2))].

2435 (x * (x * (x * C))) * y = x * ((C * x) * (x * y)). [para(2024(a,1),30(a,1,2,1)),flip(a)].

2497 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). [para(63(a,1),7(a,1,2))].

2505 (C * x) * (x \ y) = x * ((C / x) * y). [para(13(a,1),63(a,2,1)),rewrite([63(6),371(8)])].

2507 (x * C) * (y / C) = C * ((x / C) * y). [para(13(a,2),63(a,2,1)),rewrite([79(4),100(6),79(9),388(10)])].

2511 (x * (x * y)) * a(x * x,z,z \ y) = (x * (x * z)) * (z \ y). [para(25(a,1),63(a,1,1)),rewrite([25(8)])].

2525 (x * C) \ (y * ((C / y) * x)) = a(C,y,y \ x). [para(63(a,1),104(a,1,2)),rewrite([2505(6)])].

2537 (C * x) * ((C / (C * x)) * y) = C * (x * (C * ((C * x) \ y))). [para(249(a,1),63(a,2,1)),rewrite([63(10),2505(8),242(16)])].

2563 (C * (x * (y * C))) * ((x * (C * y)) \ z) = (x * (C * y)) * ((C / (x * (C * y))) * z). [para(51(a,1),63(a,2,1)),rewrite([63(12),2505(10

)]),flip(a)].

2597 (x * y) * a(x,C,y / C) = C * ((x / C) * y). [back_rewrite(100),rewrite([2507(11)])].

2638 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(6(a,1),64(a,1,2,1))].

2639 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). [para(6(a,1),64(a,1,2))].

2640 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(9(a,1),64(a,1,1,2))].

2641 x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z). [para(9(a,1),64(a,1,1))].

2642 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(9(a,1),64(a,1,2,1))].

2643 (x * (y * (z * (y * u)))) \ ((x * (y * (z * y))) * u) = a(x,y * (z * y),u). [para(10(a,1),64(a,1,1,2))].

2644 (x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u). [para(10(a,1),64(a,1,1)),rewrite([10(7)])].

2646 (x * (y * ((z * C) * y))) \ ((x * (y * z)) * (C * y)) = a(x,y * z,C * y). [para(12(a,1),64(a,1,1,2))].

2648 ((x * y) * ((C * x) * z)) \ (x * ((y * C) * (x * z))) = a(x * y,C * x,z). [para(12(a,1),64(a,1,2,1)),rewrite([10(10)])].

2651 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(13(a,1),64(a,1,2,1))].

2652 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(13(a,2),64(a,1,1,2)),rewrite([13(6,R)])].

2653 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(13(a,2),64(a,1,2,1))].

2654 (x * (y * C)) \ (C * (x * y)) = a(x,y,C). [para(13(a,2),64(a,1,2))].

2660 a(x,x,y) = 0. [para(25(a,1),64(a,1,2)),rewrite([20(5)]),flip(a)].

2661 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(49(a,1),64(a,1,1,2)),rewrite([2507(6)])].

2664 ((x * C) * (y * z)) \ (((C * x) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,1))].

2665 ((C * x) * (y * z)) \ (((x * C) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,2,1))].

2666 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(76(a,2),64(a,1,1,2))].

2667 a(C * x,y,z) = a(x * C,y,z). [para(76(a,2),64(a,1,1)),rewrite([2665(9)])].

2670 (C * (x * (x * y))) \ (x * (C * (x * y))) = a(C,x * x,y). [para(91(a,1),64(a,1,2,1)),rewrite([25(3),50(8)])].

2684 a(x,C * C,y) = a(x,C * y,C). [para(99(a,2),64(a,1,2,1)),rewrite([25(4),10(10),2652(11)]),flip(a)].

2685 (x * (y * (C * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(99(a,2),64(a,1,2)),rewrite([13(9,R)])].

2691 (C * (x * ((x * C) \ y))) \ y = a(C,x,(x * C) \ y). [para(102(a,1),64(a,1,2))].

2703 (x * (y * (C * C))) \ ((x * C) * (C * y)) = a(x,C,C * y). [para(249(a,1),64(a,1,1,2))].

2713 a(x,C * y,z) = a(x,y * C,z). [para(565(a,1),64(a,1,2,1)),rewrite([2666(9)]),flip(a)].

2721 C / ((x \ C) * x) = a(C,x \ C,x). [para(650(a,1),64(a,1,2)),rewrite([2075(9),48(8)])].

2736 x \ (C * ((x / (C * y)) * y)) = a(x / (C * y),y,C). [para(837(a,1),64(a,1,1)),rewrite([13(6,R)])].

2739 x \ ((C * (x / (y * C))) * y) = a(x / (y * C),C,y). [para(838(a,1),64(a,1,1)),rewrite([13(5,R)])].

2749 C / (x * (C / x)) = a(C,x,C / x). [para(1045(a,1),64(a,1,2)),rewrite([2075(9),48(8)])].

2778 a(C * x,C,x) = 0. [para(57(a,1),64(a,1,1)),rewrite([13(9,R),866(10),1939(11)]),flip(a)].

2903 a(x,C,x / C) = 0. [para(6(a,1),2778(a,1,1)),rewrite([79(3)])].

2912 a(x / C,C,x / (C * C)) = 0. [para(644(a,1),2778(a,1,1))].

2944 (x * C) \ ((C * (x / y)) * y) = a(C,x / y,y). [para(66(a,1),104(a,1,2))].

3037 ((0 / (x * y)) * x) * y = a(0 / (x * y),x,y). [para(67(a,1),4(a,1))].

3044 (C * (x / (C * y))) * y = (C * (x / (y * C))) * y. [para(13(a,1),67(a,1,2,1,2)),rewrite([1448(6),13(11,R)]),flip(a)].

3045 C * ((x / (C * y)) * y) = C * ((x / (y * C)) * y). [para(13(a,2),67(a,1,2,1,2)),rewrite([1425(6),13(12,R)])].

3323 x * (y * a(y,x,y)) = (x / y) * (y * y). [para(69(a,1),7(a,1,2)),rewrite([372(3)]),flip(a)].

3682 (x * (y * (C * (x * x)))) * z = (x * (y * (x * (x * C)))) * z. [para(91(a,2),71(a,2,1,2,2)),rewrite([71(12)]),flip(a)].

3694 (x * (y * (C * (x * x)))) * z = x * ((C * (y * x)) * (x * z)). [para(93(a,2),71(a,2,1,2,2)),rewrite([71(12),867(6)]),flip(a)].

3699 (C * (x * (C * (y * C)))) * z = (C * (x * (y * (C * C)))) * z. [para(99(a,1),71(a,2,1,2,2)),rewrite([71(16)])].

3846 (x * (y * (x * (x * C)))) * z = x * ((C * (y * x)) * (x * z)). [back_rewrite(3682),rewrite([3694(6)]),flip(a)].

4257 (x / C) * (x / C) = x * (x / (C * C)). [para(2912(a,1),15(a,1,2)),rewrite([644(8),5(7),13(9,R),49(9)])].

4267 (x * (x / C)) / C = x * (x / (C * C)). [back_rewrite(2159),rewrite([4257(10)])].

4279 (x * x) / (C * C) = x * (x / (C * C)). [back_rewrite(940),rewrite([4257(10)])].

4280 (x / (C * C)) * x = x * (x / (C * C)). [back_rewrite(933),rewrite([4257(10)])].

4980 (x * (x / (C * C))) * y = (x / C) * ((x / C) * y). [para(644(a,1),86(a,1,1,2,2)),rewrite([49(8),4280(5),1133(20)])].

5186 ((0 / x) / x) * (C * (0 / x)) = (0 / x) * (C * ((0 / x) / x)). [para(444(a,1),12(a,1,1)),rewrite([13(14,R),1099(17),444(16)])].

5194 (0 / x) \ (C * ((0 / x) / x)) = C * (0 / x). [para(444(a,1),165(a,1,2,2)),rewrite([13(12,R)])].

5200 (C * ((0 / x) / x)) * (0 / x) = (0 / x) * (C * ((0 / x) / x)). [para(444(a,1),50(a,2,2,2)),rewrite([13(6,R),93(7,R),444(6)])].

5201 (0 / x) * (C * ((0 / x) / x)) = C * ((0 / x) * ((0 / x) / x)). [para(444(a,1),53(a,1,2,2)),rewrite([13(16,R),93(17,R),444(16)]),flip(a)

].

5203 ((0 / x) / x) / (C * (0 / x)) = (0 / x) / C. [para(444(a,1),1097(a,1,1))].

5204 (C * ((0 / x) / x)) / (0 / x) = C * (0 / x). [para(444(a,1),1110(a,1,1,2))].

5213 (0 / x) * ((0 / x) / C) = ((0 / x) / x) / C. [para(444(a,1),1880(a,1,1)),flip(a)].

5217 (x * ((0 / y) / y)) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [para(444(a,1),64(a,1,1,2))].

5223 (x * (y * (x * ((0 / z) / z)))) * a(x * (y * x),0 / z,0 / z) = (x * (y * (x * (0 / z)))) * (0 / z). [para(444(a,1),71(a,1,1,2,2,2))].

5230 (C * ((0 / x) / x)) * (0 / x) = C * ((0 / x) * ((0 / x) / x)). [back_rewrite(5200),rewrite([5201(16)])].

5232 ((0 / x) / x) * (C * (0 / x)) = C * ((0 / x) * ((0 / x) / x)). [back_rewrite(5186),rewrite([5201(16)])].

5408 (C * (C * (x * y))) \ (C * (x * (C * y))) = a(C * C,x,y). [para(95(a,1),104(a,1,2)),rewrite([13(5,R),52(10)])].

5739 (x * (C * (C * C))) * y = C * ((C * x) * (C * y)). [para(33(a,1),106(a,1,1)),rewrite([410(15),79(14),79(15),914(15),644(16),25(16),25(1

8),30(17)])].

6322 (C * (x \ 0)) \ (C * x) = x * x. [para(2071(a,1),7(a,1,2))].

6333 ((C * (x \ 0)) * (C * x)) / (x * x) = (x \ 0) * (C * (C * (x \ 0))). [para(2071(a,1),85(a,1,1,2)),rewrite([57(18)])].

6635 (C * (x * ((y * C) * x))) * z = (x * ((C * y) * (x * C))) * z. [para(76(a,1),110(a,1,1,2,2))].

6688 (C * (C * (x * (y * x)))) \ z = (C * (x * (y * (x * C)))) \ z. [para(110(a,1),291(a,2,1)),rewrite([13(13,R)])].

7678 ((x * C) * y) / C = (x / C) * (C * y). [para(115(a,1),1460(a,1,1)),rewrite([13(5,R),936(9),386(10)])].

7984 (C * x) \ (C * (0 / x)) = (0 / x) / x. [para(24(a,1),6322(a,1,1,2)),rewrite([444(12)])].

8305 a(C,x \ C,x) * ((x \ C) * x) = C. [para(2721(a,1),9(a,1,1))].

8316 a(C,x,C / x) * (x * (C / x)) = C. [para(2749(a,1),9(a,1,1))].

8318 a(C,x,C / x) \ C = x * (C / x). [para(2749(a,1),24(a,1,1))].

8356 (x / C) * (C * ((C * x) * y)) = x * (x * (C * y)). [para(30(a,1),120(a,2,2,2)),rewrite([49(4),49(4)]),flip(a)].

8378 (C * x) * (x * x) = x * (C * (x * x)). [para(1883(a,1),120(a,2,2,2)),rewrite([388(7),1803(6),1883(7)])].

8921 x * ((x * (y * x)) \ z) = y \ (x \ z). [para(125(a,1),7(a,1,2)),flip(a)].

9686 (0 / C) * (C * (C * C)) = C * C. [para(161(a,1),1804(a,1,2,2)),rewrite([559(15),8921(9),20(4),79(3)])].

9726 (0 / (C * C)) * (C * (C * C)) = C. [para(9686(a,1),25(a,2,2)),rewrite([4257(7),4(7),99(18,R),13(17,R),49(17),5(14)])].

9766 ((0 / (C * C)) * (x * C)) / (C * (C * C)) = (0 / (C * C)) * (x * (0 / (C * C))). [para(9726(a,1),29(a,1,1,2,2))].

9767 (0 / (C * C)) * (C * (x / (0 / (C * C)))) = ((0 / (C * C)) * x) * (C * (C * C)). [para(9726(a,1),30(a,1,2,2)),rewrite([13(13,R)])].

9785 x * a(x,C,0 / C) = x. [para(9726(a,1),73(a,1,2,2)),rewrite([13(12,R),2435(18),644(16),25(13),49(12),5(9),99(9,R),13(8,R),644(8),49(5),5

(2),644(8),9726(17),644(15),2507(12),5(11),49(10)])].

9808 (x \ (x / C)) * (C * (x * C)) = x * C. [para(164(a,1),2166(a,1,2)),rewrite([559(12),8921(7),79(2)])].

9845 a(x,C,0 / C) = 0. [para(9785(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

9847 x * (C * (x * (0 / C))) = x * x. [para(9845(a,1),95(a,1,2)),rewrite([49(5),5(2),5(3),50(8)]),flip(a)].

9932 (x * (C * (y * y))) / C = (x * (y * (y * C))) / C. [para(169(a,1),936(a,1,1)),rewrite([936(10)]),flip(a)].

10168 C * (x * (0 / C)) = x. [para(9847(a,1),7(a,1,2)),rewrite([7(2)]),flip(a)].

10182 x \ ((C / x) * (x * (x * (0 / C)))) = a(x,C,x * (0 / C)). [para(9847(a,1),64(a,1,1)),rewrite([410(9),372(8)])].

10200 x * (0 / C) = x / C. [para(10168(a,1),7(a,1,2)),rewrite([79(2)]),flip(a)].

10202 C * (x * (y * (x / C))) = x * (y * x). [para(10(a,1),10168(a,1,2)),rewrite([10200(5)])].

10212 (x * C) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(106(a,1),10168(a,1,2)),rewrite([10200(9),48(7)]),flip(a)].

10213 (C * x) * (y * (x * C)) = C * ((x * C) * (y * x)). [para(108(a,1),10168(a,1,2)),rewrite([10200(9),8(7)]),flip(a)].

10215 x \ ((C / x) * (x * (x / C))) = 0. [back_rewrite(10182),rewrite([10200(6),10200(12),2903(11)])].

10504 (C * ((x * C) * (y * x))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(108),rewrite([10213(6)])].

11271 x \ (x / C) = 0 / C. [para(10200(a,1),7(a,1,2))].

11272 (0 / C) * (x * ((0 / C) * y)) = ((0 / C) * (x / C)) * y. [para(10200(a,1),10(a,1,1,2)),flip(a)].

11273 (x * (y * x)) / C = x * (y * (x / C)). [para(10200(a,1),10(a,1)),rewrite([10200(8)])].

11276 (C * x) \ x = 0 / C. [para(10200(a,1),103(a,1,2)),rewrite([8(6)])].

11301 (x * (y * (y * x))) / C = x * (y * (y * (x / C))). [para(10200(a,1),86(a,1)),rewrite([10200(9)])].

11312 (0 / C) * (C * (x * C)) = x * C. [back_rewrite(9808),rewrite([11271(3)])].

11408 (x / C) \ (x / (C * C)) = 0 / C. [para(914(a,1),11271(a,1,2))].

11658 (C / x) * (x * (x / C)) = x. [para(10215(a,1),6(a,1,2)),rewrite([5(2)]),flip(a)].

11683 (C / x) \ x = x * (x / C). [para(11658(a,1),7(a,1,2))].

11695 (x * x) / (x / C) = x * C. [para(11658(a,1),29(a,1,1,2)),rewrite([9(7)])].

11850 a(C,x,x * x) = 0. [para(174(a,1),64(a,1,1)),rewrite([8378(8),20(9)]),flip(a)].

12099 a(C,0 / x,(0 / x) / x) = 0. [para(444(a,1),11850(a,1,3))].

12239 (x \ C) * ((x \ C) / C) = x \ (x \ C). [para(23(a,1),11683(a,1,1)),flip(a)].

12358 (x * C) \ (x * x) = x / C. [para(11695(a,1),24(a,1,1))].

12380 (C * x) \ (x * x) = x / C. [para(13(a,2),12358(a,1,1))].

12750 (C * (0 / x)) * ((0 / x) / x) = C * ((0 / x) * ((0 / x) / x)). [para(12099(a,1),15(a,1,2)),rewrite([5(10)]),flip(a)].

12885 (0 / C) * (C * x) = x. [para(9(a,1),11312(a,1,2,2)),rewrite([13(10,R),49(10)])].

13021 (0 / C) * x = x / C. [para(6(a,1),12885(a,1,2)),rewrite([79(6)])].

13023 x / (C * x) = 0 / C. [para(12885(a,1),8(a,1,1))].

13024 (x / (C * C)) * (C * y) = (x * y) / C. [para(12885(a,1),10(a,2,2,2)),rewrite([10200(7),13021(6),914(4),13021(12)])].

13031 (x * (x / C)) * y = x * ((x * y) / C). [para(12885(a,1),31(a,1,1,2)),rewrite([13021(4),13021(13),49(12),13021(9)])].

13038 a(0 / C,C * x,y) = a(x / C,C,y). [para(12885(a,1),64(a,1,2,1)),rewrite([13021(7),386(5),2642(7)]),flip(a)].

13050 x * a(0 / C,x,C) = x. [para(12885(a,1),77(a,1,1)),rewrite([13021(11),49(10)])].

13053 (x / C) * ((x / C) * (C * y)) = (x * (x * y)) / C. [para(12885(a,1),86(a,2,2,2,2)),rewrite([10200(7),13021(7),4267(5),4980(8),13021(14

)])].

13083 (x * (y / C)) / C = (x / (C * C)) * y. [back_rewrite(11272),rewrite([13021(7),13021(7),13021(11),914(9)])].

13091 ((0 / (C * C)) * x) * (C * (C * C)) = (x / (0 / (C * C))) / C. [back_rewrite(9767),rewrite([13024(14),4(8)]),flip(a)].

13226 (0 / (C * C)) * x = x / (C * C). [para(13021(a,1),25(a,1,1)),rewrite([914(5),13021(13),13021(12),914(10)])].

13233 ((x * y) / C) \ ((x / C) * y) = a(0 / C,x,y). [para(13021(a,1),64(a,1,1)),rewrite([13021(7)])].

13248 (x / C) * ((x / C) * y) = x * ((x * y) / (C * C)). [para(13021(a,1),86(a,1,1,2,2)),rewrite([13021(6),914(4),4980(6),13021(14),13021(13

),914(11)])].

13259 (x / (0 / (C * C))) / C = x * C. [back_rewrite(13091),rewrite([13226(6),13024(10),236(6)]),flip(a)].

13266 (x * (0 / (C * C))) / (C * C) = (x / C) / (C * (C * C)). [back_rewrite(9766),rewrite([13226(8),1460(6),13226(20)]),flip(a)].

13277 x * ((x * (C * y)) / (C * C)) = (x * (x * y)) / C. [back_rewrite(13053),rewrite([13248(8)])].

13283 (x * (x / (C * C))) * y = x * ((x * y) / (C * C)). [back_rewrite(4980),rewrite([13248(12)])].

13479 (x * C) / (x * (C * C)) = 0 / C. [para(99(a,1),13023(a,1,2))].

13484 (x / (C * C)) / (x / C) = 0 / C. [para(644(a,1),13023(a,1,2))].

13536 a(0 / C,x,C) = 0. [para(13050(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

13537 (C * x) * (y * (C * x)) = C * ((x * C) * (y * x)). [para(13050(a,1),107(a,1,2,2)),rewrite([13536(17),5(12),10213(12)])].

13538 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [para(13050(a,1),109(a,1,2,2)),rewrite([10212(6),13536(17),5(12)]),flip(a)].

14247 (x * (y / (C * C))) / (C * C) = ((x / C) / (C * (C * C))) * y. [para(13226(a,1),10(a,1,1)),rewrite([13266(10),13226(20),13226(20)]),fl

ip(a)].

14248 (x / C) / (C * C) = x / (C * (C * C)). [para(13226(a,1),12(a,2)),rewrite([13226(6),644(11),10200(8),1466(6),14247(18),8(10),5(14)])].

14280 ((x * y) / (C * C)) \ ((x / (C * C)) * y) = a(0 / (C * C),x,y). [para(13226(a,1),64(a,1,1)),rewrite([13226(11)])].

14402 (x / (C * C)) / C = x / (C * (C * C)). [back_rewrite(1466),rewrite([14248(12)])].

14563 C * (x * (0 / (C * C))) = x / C. [para(8(a,1),13259(a,1,1)),rewrite([13(10,R)]),flip(a)].

14564 x / (0 / (C * C)) = C * (x * C). [para(13259(a,1),9(a,1,1)),rewrite([13(4,R)]),flip(a)].

14703 C * ((x / (C * C)) * y) = x * (y / C). [para(11276(a,1),197(a,1,1,1,1)),rewrite([13021(4),11276(6),11276(11),13021(12),13038(11),2597(

10),914(5),11276(10),13021(13),48(11),11276(10),13021(11)])].

14978 x * (0 / (C * C)) = x / (C * C). [para(14563(a,1),7(a,1,2)),rewrite([79(4),914(4)]),flip(a)].

14980 C * (x * (y * (x / (C * C)))) = x * (y * (x / C)). [para(10(a,1),14563(a,1,2)),rewrite([14978(7),11273(12)])].

15143 (C * (x * C)) \ x = 0 / (C * C). [para(14564(a,1),24(a,1,1))].

16000 C / (a(C,x,C / x) \ (x * (C / x))) = a(C,x,C / x) * a(C,x,C / x). [para(8316(a,1),150(a,1,1))].

16476 (x * (C * (y * C))) / C = (x * (y * (C * C))) / C. [para(243(a,1),936(a,1,1)),rewrite([936(11)]),flip(a)].

16862 (C * (x * (C * x))) \ y = (x * (x * (C * C))) \ y. [para(244(a,1),291(a,1,1)),rewrite([13(11,R)]),flip(a)].

17319 (x \ 0) * (C * (x * C)) = C * C. [para(245(a,2),648(a,1,2)),rewrite([1544(8),559(13),8921(8),20(3)])].

17366 (C * (C * (x * (y * x)))) \ ((x * y) * (x * (C * C))) = a(x,y,x * (C * C)). [para(245(a,2),64(a,1,1))].

17624 C / ((x \ 0) / C) = C * (x * C). [para(17319(a,1),7(a,1,2)),rewrite([2075(6)])].

17625 ((x / C) \ 0) * (C * x) = C * C. [para(9(a,1),17319(a,1,2,2))].

17628 (x \ 0) * (C * ((x * C) * (C * (x \ 0)))) = C * (C * (C * (x \ 0))). [para(17319(a,1),12(a,1,1)),rewrite([25(8),13(16,R),52(19)]),flip

(a)].

17637 (x \ 0) * (x * (C * C)) = C * C. [para(17319(a,1),27(a,1,2,2)),rewrite([5(11),17319(14)])].

17686 C * (C * (0 / x)) = C / (x / C). [para(24(a,1),17624(a,1,2,1)),rewrite([13(9,R)]),flip(a)].

17699 C * ((C * x) \ C) = (x / C) \ 0. [para(17625(a,1),8(a,1,1)),rewrite([1041(6)])].

17701 ((x / C) \ 0) * (C * (x * (C * ((x / C) \ 0)))) = C * (C * (C * ((x / C) \ 0))). [para(17625(a,1),12(a,1,1)),rewrite([25(10),13(18,R),

52(23)]),flip(a)].

17702 ((x / C) \ 0) * (x * C) = C * C. [para(13(a,1),17625(a,1,2))].

17709 C * (C * ((x / C) \ 0)) = (C * (C * C)) / x. [para(17625(a,1),29(a,1,1,2)),rewrite([13(13,R)]),flip(a)].

17713 ((C * (C * C)) / x) / C = C * ((x / C) \ 0). [para(17625(a,1),35(a,1,1)),rewrite([13(11,R),52(16),17701(17),17709(12),410(12),7(11),79

(8)])].

17716 C * ((x * C) \ C) = (x / C) \ 0. [para(17625(a,1),836(a,1,1)),rewrite([1041(6)])].

17726 (((x / C) \ 0) * ((C * x) * y)) \ (C * (C * y)) = a((x / C) \ 0,C * x,y). [para(17625(a,1),64(a,1,2,1)),rewrite([25(12)])].

18037 x * ((x \ 0) * x) = x. [para(17637(a,1),29(a,1,1,2)),rewrite([8(8)]),flip(a)].

18038 C * (((x \ 0) \ (x * (C * C))) \ C) = (x \ 0) * (x \ 0). [para(17637(a,1),150(a,1,1)),rewrite([1041(11)])].

18068 (x \ 0) * x = 0. [para(18037(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

18073 x \ 0 = 0 / x. [para(18037(a,1),29(a,1,1,2)),rewrite([18068(3),6(7),5(6)]),flip(a)].

18111 C * (((0 / x) \ (x * (C * C))) \ C) = (0 / x) / x. [back_rewrite(18038),rewrite([18073(3),18073(13),18073(15),444(16)])].

18208 ((0 / (x / C)) * ((C * x) * y)) \ (C * (C * y)) = a(0 / (x / C),C * x,y). [back_rewrite(17726),rewrite([18073(4),18073(17)])].

18218 C * ((x * C) \ C) = 0 / (x / C). [back_rewrite(17716),rewrite([18073(10)])].

18221 ((C * (C * C)) / x) / C = C * (0 / (x / C)). [back_rewrite(17713),rewrite([18073(13)])].

18225 (C * (C * C)) / x = C / (x / (C * C)). [back_rewrite(17709),rewrite([18073(6),17686(8),914(5)]),flip(a)].

18231 (0 / (x / C)) * (x * C) = C * C. [back_rewrite(17702),rewrite([18073(4)])].

18233 C * ((C * x) \ C) = 0 / (x / C). [back_rewrite(17699),rewrite([18073(10)])].

18289 (0 / x) * (x * (C * C)) = C * C. [back_rewrite(17637),rewrite([18073(2)])].

18297 (0 / x) * (C * ((x * C) * (C * (0 / x)))) = C * (C / (x / C)). [back_rewrite(17628),rewrite([18073(2),18073(8),18073(17),17686(19)])].

18446 ((C * (0 / x)) * (C * x)) / (x * x) = (0 / x) * (C / (x / C)). [back_rewrite(6333),rewrite([18073(3),18073(11),18073(15),17686(17)])].

18456 (C * (0 / x)) \ (C * x) = x * x. [back_rewrite(6322),rewrite([18073(3)])].

18479 (C / (x / (C * C))) / C = C * (0 / (x / C)). [back_rewrite(18221),rewrite([18225(6)])].

18489 x * (0 / x) = 0. [para(18073(a,1),6(a,1,2))].

18492 (x * C) * (0 / (C * x)) = 0. [para(18073(a,1),101(a,1,2))].

18493 (C * x) * (0 / (x * C)) = 0. [para(18073(a,1),102(a,1,2))].

18494 x * ((C * (0 / x)) * x) = C * x. [para(18073(a,1),33(a,1,2,1,2)),rewrite([4(10)])].

18495 x \ (0 / x) = 0 / (x * x). [para(18073(a,1),410(a,1)),rewrite([18073(5)]),flip(a)].

18521 (x * y) / (0 / x) = x * (y * x). [para(18489(a,1),29(a,1,1,2,2)),rewrite([5(2)])].

18522 (x * y) * (0 / x) = x * (y / x). [para(18489(a,1),30(a,1,2,2)),rewrite([5(3)]),flip(a)].

18531 (x * ((0 / x) * y)) \ y = a(x,0 / x,y). [para(18489(a,1),64(a,1,2,1)),rewrite([4(6)])].

18543 (0 / x) * (x * (x * ((0 / x) * y))) = y. [para(18489(a,1),86(a,1,1,2,2)),rewrite([5(4),9(3),4(2)]),flip(a)].

18633 (0 / x) * (C / (x / C)) = C * (C * ((0 / x) / x)). [para(444(a,1),251(a,2,2,2)),rewrite([13(7,R),17686(8),2660(15),5(9)])].

18659 ((C * (0 / x)) * (C * x)) / (x * x) = C * (C * ((0 / x) / x)). [back_rewrite(18446),rewrite([18633(16)])].

18666 ((x * C) * y) / (0 / (C * x)) = C * ((C * x) * (y * x)). [para(18492(a,1),29(a,1,1,2,2)),rewrite([5(4),13538(14)])].

18716 ((C * x) * y) / (0 / (x * C)) = C * ((x * C) * (y * x)). [para(18493(a,1),29(a,1,1,2,2)),rewrite([5(4),13537(14)])].

18747 x * (0 / (x * x)) = 0 / x. [para(18495(a,1),6(a,1,2))].

18786 (x * ((0 / (x * x)) * y)) \ ((0 / x) * y) = a(x,0 / (x * x),y). [para(18747(a,1),64(a,1,2,1))].

18843 (C * (C * (x * x))) \ y = (x * (x * (C * C))) \ y. [para(254(a,1),291(a,1,1)),rewrite([13(11,R)]),flip(a)].

18994 C * ((0 / x) * (C * y)) = (C / (x / C)) * y. [para(17686(a,1),30(a,2,1)),rewrite([48(7)])].

18998 (C / (x / C)) / ((C * (0 / x)) \ C) = C * (C * ((0 / x) / x)). [para(17686(a,1),429(a,1,1)),rewrite([57(20),17686(19),18633(18)])].

19043 (C / (x / C)) \ (C * (C * ((0 / x) / x))) = 0 / x. [para(17686(a,1),12380(a,1,1)),rewrite([57(13),17686(12),18633(11),48(18)])].

19083 (0 / (x / C)) / C = (x * C) \ C. [para(18218(a,1),7(a,1,2)),rewrite([79(6)])].

19085 0 / (x / (C * C)) = C * (x \ C). [para(9(a,1),18218(a,1,2,1)),rewrite([914(9)]),flip(a)].

19090 ((x * C) \ C) \ (0 / (x / C)) = C. [para(18218(a,1),46(a,1,2))].

19093 C * (((x * C) \ C) * ((x * C) \ C)) = ((x * C) \ C) * (0 / (x / C)). [para(18218(a,1),93(a,2,2))].

19103 (((x * C) \ C) / C) * (0 / (x / C)) = ((x * C) \ C) * ((x * C) \ C). [para(18218(a,1),752(a,1,2))].

19104 (0 / (x / C)) / (C * C) = ((x * C) \ C) / C. [para(18218(a,1),936(a,1,1))].

19108 ((x * C) \ C) * (0 / (x / C)) = (0 / (x / C)) * ((x * C) \ C). [para(18218(a,1),1099(a,1,1)),rewrite([19093(20)]),flip(a)].

19147 (0 / (x / C)) \ ((x * C) \ C) = 0 / C. [para(18218(a,1),11276(a,1,1))].

19150 ((x * C) \ C) / (0 / (x / C)) = 0 / C. [para(18218(a,1),13023(a,1,2))].

19170 C * (((x * C) \ C) * ((x * C) \ C)) = (0 / (x / C)) * ((x * C) \ C). [back_rewrite(19093),rewrite([19108(20)])].

19294 (0 / (x / C)) / (((C * x) \ C) \ C) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),429(a,1,1))].

19297 (((C * x) \ C) / C) * (0 / (x / C)) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),752(a,1,2))].

19301 (((C * x) \ C) * ((C * x) \ C)) / (0 / (x / C)) = ((C * x) \ C) / C. [para(18233(a,1),1097(a,1,2))].

19361 C * ((x * (x * (C * C))) \ C) = 0 / (x * x). [para(244(a,1),18233(a,1,2,1)),rewrite([11273(15),49(14)])].

19477 (C * (0 / ((x * C) \ C))) \ (0 / (x / C)) = ((x * C) \ C) * ((x * C) \ C). [para(18218(a,1),18456(a,1,2))].

19478 (C * (0 / ((C * x) \ C))) \ (0 / (x / C)) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),18456(a,1,2))].

19565 (C * (0 / x)) * x = C. [para(18494(a,1),7(a,1,2)),rewrite([46(3)]),flip(a)].

19566 x * ((C * (0 / x)) * (x * y)) = (C * x) * y. [para(18494(a,1),10(a,1,1)),flip(a)].

19567 (C * (0 / x)) * (C * x) = (C / (x / C)) * x. [para(18494(a,1),10(a,2,2)),rewrite([13537(10),13(5,R),18489(8),5(7),17686(6)]),flip(a)].

19570 x * ((C * (0 / x)) * ((C * x) * y)) = x * ((C / (x / C)) * (x * y)). [para(18494(a,1),31(a,1,1,2,2)),rewrite([19567(7),10(7),19566(18)

]),flip(a)].

19587 (C * (0 / x)) * (x * C) = (C / (x / C)) * x. [para(18494(a,1),107(a,1,2)),rewrite([19567(7),13(13,R),19565(14)]),flip(a)].

19600 ((C / (x / C)) * x) / (x * x) = C * (C * ((0 / x) / x)). [back_rewrite(18659),rewrite([19567(7)])].

19610 C * (0 / x) = C / x. [para(19565(a,1),8(a,1,1)),flip(a)].

19611 (C * x) * (0 / x) = C. [para(23(a,1),19565(a,1,1,2)),rewrite([18073(4)])].

19612 (C / x) * (C * (y / (C / x))) = ((C / x) * y) * x. [para(19565(a,1),30(a,1,2,2)),rewrite([19610(4),19610(6),13(7,R),19610(12)])].

19619 C * (C * ((0 / x) / x)) = (C / (x / C)) / x. [back_rewrite(18998),rewrite([19610(8),24(8)]),flip(a)].

19622 (C / (x / C)) * x = (C / x) * (x * C). [back_rewrite(19587),rewrite([19610(4)]),flip(a)].

19633 x * ((C / (x / C)) * (x * y)) = x * ((C / x) * ((C * x) * y)). [back_rewrite(19570),rewrite([19610(4)]),flip(a)].

19638 ((C * x) \ C) * ((C * x) \ C) = (C * x) \ (0 / (x / C)). [back_rewrite(19478),rewrite([19610(8),23(6)]),flip(a)].

19639 ((x * C) \ C) * ((x * C) \ C) = (x * C) \ (0 / (x / C)). [back_rewrite(19477),rewrite([19610(8),23(6)]),flip(a)].

19770 (C / (x / (C * C))) / C = C / (x / C). [back_rewrite(18479),rewrite([19610(14)])].

19880 (0 / x) * (C * (C * C)) = C * (C / (x / C)). [back_rewrite(18297),rewrite([19610(9),1611(8)])].

19891 C / (x / C) = C * (C / x). [back_rewrite(17686),rewrite([19610(5)]),flip(a)].

19893 C * ((0 / x) * ((0 / x) / x)) = (C / x) * ((0 / x) / x). [back_rewrite(12750),rewrite([19610(4)]),flip(a)].

19899 C / (x * (C * x)) = (0 / x) / x. [back_rewrite(7984),rewrite([19610(6),2076(5)])].

19900 ((0 / x) / x) * (C / x) = (C / x) * ((0 / x) / x). [back_rewrite(5232),rewrite([19610(7),19893(14)])].

19904 (C * ((0 / x) / x)) / (0 / x) = C / x. [back_rewrite(5204),rewrite([19610(12)])].

19905 ((0 / x) / x) / (C / x) = (0 / x) / C. [back_rewrite(5203),rewrite([19610(7)])].

19909 (0 / x) \ (C * ((0 / x) / x)) = C / x. [back_rewrite(5194),rewrite([19610(12)])].

19910 ((C * (C / x)) * x) / (x * x) = (C / x) * (C / x). [back_rewrite(19600),rewrite([19891(4),19619(14),19891(11),770(12)])].

19913 (C / x) / C = 0 / x. [back_rewrite(19043),rewrite([19891(4),19619(11),19891(8),770(9),12380(10)])].

19935 ((C * x) \ (0 / (x / C))) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(19301),rewrite([19638(9)])].

19936 (((C * x) \ C) / C) * (0 / (x / C)) = (C * x) \ (0 / (x / C)). [back_rewrite(19297),rewrite([19638(20)])].

19937 (0 / (x / C)) / (((C * x) \ C) \ C) = (C * x) \ (0 / (x / C)). [back_rewrite(19294),rewrite([19638(20)])].

19938 (0 / (x / C)) * ((x * C) \ C) = C * ((x * C) \ (0 / (x / C))). [back_rewrite(19170),rewrite([19639(10)]),flip(a)].

19943 (((x * C) \ C) / C) * (0 / (x / C)) = (x * C) \ (0 / (x / C)). [back_rewrite(19103),rewrite([19639(20)])].

19963 (0 / x) * (C * (C * C)) = C * (C * (C / x)). [back_rewrite(19880),rewrite([19891(13)])].

19967 C * (x \ C) = C * (C / x). [back_rewrite(19770),rewrite([19913(8),19085(6),19891(8)])].

19997 x * ((C * (C / x)) * (x * y)) = x * ((C / x) * ((C * x) * y)). [back_rewrite(19633),rewrite([19891(4)])].

20001 (C * (C / x)) * x = (C / x) * (x * C). [back_rewrite(19622),rewrite([19891(4)])].

20025 C * ((0 / x) * (C * y)) = (C * (C / x)) * y. [back_rewrite(18994),rewrite([19891(11)])].

20075 x \ (C * C) = C * (C / x). [back_rewrite(2075),rewrite([19891(8)])].

20076 x * (C * (C / x)) = C * C. [back_rewrite(1607),rewrite([19891(4)])].

20079 (C * ((0 / x) / x)) * (0 / x) = (C / x) * ((0 / x) / x). [back_rewrite(5230),rewrite([19893(16)])].

20087 (C * x) \ (C / x) = (0 / x) / x. [back_rewrite(2076),rewrite([19899(10)])].

20116 C * (C / (x * (x * (C * C)))) = 0 / (x * x). [back_rewrite(19361),rewrite([19967(9)])].

20136 C * (C / (C * x)) = 0 / (x / C). [back_rewrite(18233),rewrite([19967(6)])].

20140 C * (C / ((0 / x) \ (x * (C * C)))) = (0 / x) / x. [back_rewrite(18111),rewrite([19967(11)])].

20196 (C * C) / x = C * (C / x). [back_rewrite(1041),rewrite([19967(8)])].

20197 (C / x) * (x * C) = C * C. [back_rewrite(650),rewrite([19967(4),20001(5)])].

20211 (C / x) * (C / x) = C * (C / (x * x)). [back_rewrite(19910),rewrite([20001(5),20197(5),20196(5)]),flip(a)].

20230 C * (x * (C / x)) = C * C. [back_rewrite(2149),rewrite([20136(11),48(8),18522(6)])].

20269 (C * (C / x)) / x = C * (C / (x * x)). [back_rewrite(770),rewrite([20211(10)])].

20301 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(6(a,1),260(a,1,2,2))].

20305 (x * (y * (x * (z * (x * (y * x)))))) \ (x * (y * (x * (z * u)))) = (x * (y * x)) \ u. [para(10(a,1),260(a,1,1)),rewrite([10(10)])].

20362 x \ (0 / (y / C)) = x \ (C / y). [para(1045(a,1),260(a,1,2,2)),rewrite([20301(9),20075(6),20136(6)])].

20445 (a(C,x \ C,x) * ((x \ C) * a(C,x \ C,x))) \ C = a(C,x \ C,x) \ x. [para(8305(a,1),260(a,1,2))].

20447 (a(C,x,C / x) * (x * a(C,x,C / x))) \ C = a(C,x,C / x) \ (C / x). [para(8316(a,1),260(a,1,2))].

20460 (0 / x) \ y = x * y. [para(18489(a,1),260(a,1,1,2)),rewrite([5(4),7(7)]),flip(a)].

20470 (C * (C * (x * (C * C)))) \ (C * (x * (C * ((0 / x) * y)))) = (x * (C * C)) \ y. [para(18289(a,1),260(a,1,1,2)),rewrite([99(8,R),13(7,

R),242(16)])].

20478 x \ (C * (C * y)) = x \ (y * (C * C)). [para(259(a,1),260(a,1,2,2)),rewrite([20301(13),356(10)])].

20495 (((x * C) \ C) / C) * (0 / (x / C)) = (x * C) \ (C / x). [back_rewrite(19943),rewrite([20362(18)])].

20500 (0 / (x / C)) * ((x * C) \ C) = C * ((x * C) \ (C / x)). [back_rewrite(19938),rewrite([20362(17)])].

20501 (0 / (x / C)) / (((C * x) \ C) \ C) = (0 / x) / x. [back_rewrite(19937),rewrite([20362(18),20087(16)])].

20502 (((C * x) \ C) / C) * (0 / (x / C)) = (0 / x) / x. [back_rewrite(19936),rewrite([20362(18),20087(16)])].

20503 ((0 / x) / x) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(19935),rewrite([20362(7),20087(5)])].

20513 ((x * C) \ C) \ (C / x) = C. [back_rewrite(19090),rewrite([20362(9)])].

20516 (0 / x) / x = 0 / (x * x). [back_rewrite(20140),rewrite([20460(9),20116(9)]),flip(a)].

20518 x * (C / (x * x)) = C / x. [back_rewrite(19909),rewrite([20516(6),19610(7),20460(6)])].

20522 (x / C) * ((x * C) \ C) = 0 / C. [back_rewrite(19147),rewrite([20460(9)])].

20562 (0 / (x * x)) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(20503),rewrite([20516(3)])].

20563 (((C * x) \ C) / C) * (0 / (x / C)) = 0 / (x * x). [back_rewrite(20502),rewrite([20516(14)])].

20564 (0 / (x / C)) / (((C * x) \ C) \ C) = 0 / (x * x). [back_rewrite(20501),rewrite([20516(14)])].

20579 (C * x) \ (C / x) = 0 / (x * x). [back_rewrite(20087),rewrite([20516(8)])].

20585 (C / (x * x)) * (0 / x) = (C / x) * (0 / (x * x)). [back_rewrite(20079),rewrite([20516(4),19610(5),20516(11)])].

20607 (0 / (x * x)) / (C / x) = (0 / x) / C. [back_rewrite(19905),rewrite([20516(3)])].

20608 (C / (x * x)) / (0 / x) = C / x. [back_rewrite(19904),rewrite([20516(4),19610(5)])].

20612 (0 / (x * x)) * (C / x) = (C / x) * (0 / (x * x)). [back_rewrite(19900),rewrite([20516(3),20516(11)])].

20613 C / (x * (C * x)) = 0 / (x * x). [back_rewrite(19899),rewrite([20516(8)])].

20619 C * ((0 / x) * (0 / (x * x))) = (C / x) * (0 / (x * x)). [back_rewrite(19893),rewrite([20516(6),20516(13)])].

20651 (x * (y * (x * (0 / (z * z))))) * a(x * (y * x),0 / z,0 / z) = (x * (y * (x * (0 / z)))) * (0 / z). [back_rewrite(5223),rewrite([20516

(3)])].

20654 (x * (0 / (y * y))) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [back_rewrite(5217),rewrite([20516(3)])].

20656 (0 / x) * ((0 / x) / C) = (0 / (x * x)) / C. [back_rewrite(5213),rewrite([20516(10)])].

20817 a(C,x,C / x) * a(C,x,C / x) = a(C,x,C / x). [para(8316(a,1),265(a,1,1,2,2)),rewrite([13(15,R),20230(15),25(18),20301(21),79(16),11301(

16),49(14),93(12,R),7(13)])].

20838 0 / (x / C) = C / x. [para(18231(a,1),265(a,1,1,2,2)),rewrite([13(16,R),10(21),19610(19),19891(17),20076(18),19963(18),19891(14),756(1

8),7(15),7(12),7(9),7(6)]),flip(a)].

20845 C / (a(C,x,C / x) \ (x * (C / x))) = a(C,x,C / x). [back_rewrite(16000),rewrite([20817(19)])].

20851 (C / x) / (((C * x) \ C) \ C) = 0 / (x * x). [back_rewrite(20564),rewrite([20838(4)])].

20852 (((C * x) \ C) / C) * (C / x) = 0 / (x * x). [back_rewrite(20563),rewrite([20838(10)])].

20853 ((C * x) \ C) / C = (0 / x) / C. [back_rewrite(20562),rewrite([20838(7),20607(6)]),flip(a)].

20857 (C / x) * ((x * C) \ C) = C * ((x * C) \ (C / x)). [back_rewrite(20500),rewrite([20838(4)])].

20860 (((x * C) \ C) / C) * (C / x) = (x * C) \ (C / x). [back_rewrite(20495),rewrite([20838(10)])].

20924 ((x * C) \ C) / (C / x) = 0 / C. [back_rewrite(19150),rewrite([20838(8)])].

20948 ((x * C) \ C) / C = (C / x) / (C * C). [back_rewrite(19104),rewrite([20838(4)]),flip(a)].

20955 (x * C) \ C = 0 / x. [back_rewrite(19083),rewrite([20838(4),19913(4)]),flip(a)].

20962 ((C / x) * ((C * x) * y)) \ (C * (C * y)) = a(C / x,C * x,y). [back_rewrite(18208),rewrite([20838(4),20838(15)])].

20979 ((0 / x) / C) * (C / x) = 0 / (x * x). [back_rewrite(20852),rewrite([20853(6)])].

20988 (x * C) \ (C / x) = 0 / (x * x). [back_rewrite(20860),rewrite([20955(4),20979(7)]),flip(a)].

20999 (C / x) / (C * C) = (0 / x) / C. [back_rewrite(20948),rewrite([20955(4)]),flip(a)].

21020 (0 / x) / (C / x) = 0 / C. [back_rewrite(20924),rewrite([20955(4)])].

21023 (C / x) * (0 / x) = C / (x * x). [back_rewrite(20857),rewrite([20955(6),20988(11),19610(10)])].

21026 (x / C) * (0 / x) = 0 / C. [back_rewrite(20522),rewrite([20955(6)])].

21027 x * (C / x) = C. [back_rewrite(20513),rewrite([20955(4),20460(5)])].

21046 a(C,x,C / x) = 0. [back_rewrite(20845),rewrite([21027(8),8318(7),21027(4),21(3)]),flip(a)].

21066 x \ C = C / x. [back_rewrite(20447),rewrite([21046(4),21046(5),5(3),4(2),21046(6),19(6)])].

21090 C / (x * C) = 0 / x. [back_rewrite(20955),rewrite([21066(4)])].

21120 (0 / x) / C = 0 / (C * x). [back_rewrite(20853),rewrite([21066(4),19913(6)]),flip(a)].

21121 (C / x) / (C / (C / (C * x))) = 0 / (x * x). [back_rewrite(20851),rewrite([21066(6),21066(8)])].

21137 C / (a(C,C / x,x) * ((C / x) * a(C,C / x,x))) = a(C,C / x,x) \ x. [back_rewrite(20445),rewrite([21066(3),21066(6),21066(9),21066(14),2

1066(17)])].

21236 x \ (C / x) = C / (x * x). [back_rewrite(12239),rewrite([21066(2),21066(4),19913(6),21023(5),21066(5)]),flip(a)].

21253 a(C,C / x,x) = 0. [back_rewrite(2721),rewrite([21066(3),9(4),21(3),21066(4)]),flip(a)].

21286 (C / x) / (C * C) = 0 / (C * x). [back_rewrite(20999),rewrite([21120(10)])].

21295 (0 / x) * (0 / (C * x)) = 0 / (C * (x * x)). [back_rewrite(20656),rewrite([21120(6),21120(12)])].

21348 C / (C / x) = x. [back_rewrite(21137),rewrite([21253(5),21253(8),5(6),4(5),21253(8),19(6)])].

21394 (C / x) / (C * x) = 0 / (x * x). [back_rewrite(21121),rewrite([21348(8)])].

21415 C / (C * x) = 0 / x. [para(21027(a,1),103(a,1,2)),rewrite([21066(4),21090(8)])].

21417 (x * y) * (C / x) = x * (C * (y / x)). [para(21027(a,1),30(a,1,2,2)),rewrite([13(3,R)]),flip(a)].

21421 (x * C) \ ((x * y) * (C / y)) = a(x,y,C / y). [para(21027(a,1),64(a,1,1,2))].

21422 (x * ((C / x) * y)) \ (C * y) = a(x,C / x,y). [para(21027(a,1),64(a,1,2,1))].

21512 C * (x * (C * ((C * x) \ y))) = (C * x) * ((0 / x) * y). [back_rewrite(2537),rewrite([21415(6)]),flip(a)].

21514 C * (x * ((C * x) * ((0 / x) * y))) = (x * C) * (C * y). [back_rewrite(1363),rewrite([21512(9)])].

21639 (0 / x) * (x * y) = y. [para(18492(a,1),292(a,1,2,1,2,2)),rewrite([13(12,R),19610(12),21415(10),18522(9),21027(7),13(6,R),19610(6),214

15(4),5(9),19610(8),21415(6),20460(5)])].

21646 x * ((0 / x) * y) = y. [back_rewrite(18543),rewrite([21639(8)])].

21670 a(x,0 / x,y) = 0. [back_rewrite(18531),rewrite([21646(4),20(1)]),flip(a)].

21679 a(0 / x,x,y) = 0. [para(23(a,1),21670(a,1,2)),rewrite([18073(2)])].

21690 (0 / x) * y = x \ y. [para(21679(a,1),63(a,1,2)),rewrite([5(5),9(6),4(6)])].

21697 C * (x * (x * ((C / x) * y))) = (x * C) * (C * y). [back_rewrite(21514),rewrite([21690(6),2505(5)])].

21699 C * (x * (C * ((C * x) \ y))) = x * ((C / x) * y). [back_rewrite(21512),rewrite([21690(13),2505(12)])].

21709 x \ (0 / (C * x)) = 0 / (C * (x * x)). [back_rewrite(21295),rewrite([21690(7)])].

21736 (C / x) * (0 / (x * x)) = C * (x \ (0 / (x * x))). [back_rewrite(20619),rewrite([21690(7)]),flip(a)].

21738 C * (x \ (0 / (x * x))) = x \ (C / (x * x)). [back_rewrite(20612),rewrite([21690(6),410(4),21236(3),21736(10)]),flip(a)].

21743 (C * (C * (x * (C * C)))) \ (C * (x * (C * (x \ y)))) = (x * (C * C)) \ y. [back_rewrite(20470),rewrite([21690(13)])].

21744 (C * (C / x)) * y = C * (x \ (C * y)). [back_rewrite(20025),rewrite([21690(6)]),flip(a)].

21754 a(x,0 / (x * x),y) = 0. [back_rewrite(18786),rewrite([21690(4),410(2),6(3),21690(4),20(3)]),flip(a)].

21792 a(0 / (x * y),x,y) = ((x * y) \ x) * y. [back_rewrite(3037),rewrite([21690(4)]),flip(a)].

21833 (C / (x * x)) * (0 / x) = x \ (C / (x * x)). [back_rewrite(20585),rewrite([21736(12),21738(12)])].

21889 x * ((C / x) * ((C * x) * y)) = x * (C * (x \ (C * (x * y)))). [back_rewrite(19997),rewrite([21744(6)]),flip(a)].

21929 ((C * x) * (y * C)) / (0 / x) = C * ((x * C) * (y * x)). [para(19611(a,1),29(a,1,1,2,2)),rewrite([13537(14)])].

21939 (x * C) \ ((x * (C * y)) * (0 / y)) = a(x,C * y,0 / y). [para(19611(a,1),64(a,1,1,2))].

22047 0 / (C / x) = x / C. [para(23(a,1),19913(a,1,1)),rewrite([21066(5)]),flip(a)].

22048 (0 / x) / (0 / (C * x)) = C. [para(19913(a,1),915(a,1,1)),rewrite([21286(8)])].

22058 x * (0 / (C * x)) = 0 / C. [para(19913(a,1),11408(a,1,1)),rewrite([21286(8),20460(7)])].

22059 (0 / (C * x)) / (0 / x) = 0 / C. [para(19913(a,1),13484(a,1,2)),rewrite([21286(6)])].

22062 x / (y * x) = 0 / y. [para(20460(a,1),23(a,1,2))].

22063 (x \ y) / (x * y) = 0 / (x * x). [para(20460(a,1),150(a,1,2)),rewrite([21690(3),21690(8),18495(6)])].

22064 x / (y * (y * x)) = 0 / (y * y). [para(20460(a,1),417(a,1,2,2)),rewrite([20460(4),21690(8),18495(6)])].

22129 C * (C * (x * ((C * x) \ y))) = (C / x) * (x * y). [para(295(a,1),7(a,1,2)),rewrite([372(4)]),flip(a)].

22131 x * (C * (x \ (C * (x * y)))) = C * (x * (C * y)). [para(295(a,1),76(a,1)),rewrite([13(4,R),52(5),22129(19),21415(11),21690(13),371(12

),21889(12)]),flip(a)].

22173 x * ((C / x) * ((C * x) * y)) = C * (x * (C * y)). [back_rewrite(21889),rewrite([22131(14)])].

22209 (x \ y) / y = 0 / x. [para(21690(a,1),8(a,1,1))].

22211 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(21690(a,1),10(a,1,1)),rewrite([21690(10),21690(10)])].

22214 (x \ (x \ y)) / y = 0 / (x * x). [para(21690(a,1),85(a,1,1,2)),rewrite([21690(4),21690(8),18495(6)])].

22228 (C * x) \ (0 / x) = 0 / (C * (x * x)). [para(21690(a,1),1803(a,2)),rewrite([21120(4),21690(7),21120(9),21709(10)])].

22278 x \ (0 / C) = 0 / (C * x). [para(21690(a,1),10200(a,1)),rewrite([21120(8)])].

22307 (x / C) \ y = (C / x) * y. [para(20838(a,1),21690(a,1,1)),flip(a)].

22353 (C / (x * y)) * ((x / C) * y) = a(0 / C,x,y). [back_rewrite(13233),rewrite([22307(7)])].

22357 0 / (C * (C / x)) = x / (C * C). [para(914(a,1),22047(a,2)),rewrite([19891(5)])].

22359 (C / x) * (x * (x / (C * C))) = x / C. [para(22047(a,1),18747(a,2)),rewrite([20211(8),22357(9),4279(7)])].

22397 0 / (x / y) = y / x. [para(9(a,1),22062(a,1,2)),flip(a)].

22398 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(10(a,1),22062(a,1,2))].

22403 x / (y * (z * (u * (z * (y * x))))) = 0 / (y * (z * (u * (z * y)))). [para(31(a,1),22062(a,1,2))].

22406 (C * x) / (y * (x * C)) = 0 / y. [para(565(a,1),22062(a,1,2))].

22420 a(x,y,C) / (C * (x * y)) = 0 / (x * (C * y)). [para(77(a,1),22062(a,1,2))].

22421 x / (y * (z * (z * (y * x)))) = 0 / (y * (z * (z * y))). [para(86(a,1),22062(a,1,2))].

22500 (0 / (C * C)) / x = 0 / (C * (x * C)). [para(15143(a,1),22209(a,1,1))].

22566 (x / y) * (y / x) = 0. [para(22397(a,1),9(a,1,1))].

22581 a(x / y,y / x,z) = 0. [para(22397(a,1),21670(a,1,2))].

22582 C / (x / y) = C * (y / x). [para(22397(a,1),19610(a,1,2)),flip(a)].

22584 (x / y) \ z = (y / x) * z. [para(22397(a,1),20460(a,1,1))].

22594 C * ((x * y) \ (x * (y / C))) = a(0 / (C * C),x,y). [back_rewrite(14280),rewrite([22584(11),20196(5),21744(11),14703(9)])].

22602 (x / y) * ((y / x) * z) = z. [para(22566(a,1),15(a,2,1)),rewrite([22581(7),5(6),4(6)])].

22604 ((x / y) * z) * (y / x) = (x / y) * (z / (x / y)). [para(22566(a,1),30(a,1,2,2)),rewrite([5(5)]),flip(a)].

22668 (C * x) \ ((x * (C * y)) * (0 / y)) = a(x,C * y,0 / y). [para(302(a,1),103(a,1,2)),rewrite([21066(9),22062(9),21066(15),22062(15)])].

23094 (x * y) / (x \ z) = x * ((y / z) * x). [para(9(a,1),317(a,1,1,2))].

23175 (x \ y) / (x * (x * y)) = x \ (0 / (x * x)). [para(18747(a,1),317(a,2,2)),rewrite([21690(5),410(3),7(2),22584(5),22(4),25(3),21690(10)

,410(8),18495(7)])].

23187 (x \ y) / (x * (z * y)) = 0 / (x * (z * x)). [para(317(a,1),22397(a,1,2)),flip(a)].

23195 x \ (0 / (x * x)) = 0 / (x * (x * x)). [back_rewrite(23175),rewrite([23187(4)]),flip(a)].

23196 x \ (C / (x * x)) = C / (x * (x * x)). [back_rewrite(21738),rewrite([23195(5),19610(6)]),flip(a)].

23207 (C / (x * x)) * (0 / x) = C / (x * (x * x)). [back_rewrite(21833),rewrite([23196(10)])].

23244 x \ (y * (0 / x)) = (x \ y) / x. [para(5(a,1),318(a,1,1,2)),rewrite([21690(3),21690(8)]),flip(a)].

23390 (C / x) / x = C / (x * x). [para(19610(a,1),318(a,2,2)),rewrite([5(5),13(4,R),19610(4),21690(8),21236(6)])].

23406 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(22211),rewrite([23244(4)]),flip(a)].

23456 a(0 / x,x * x,y) = 0. [para(21690(a,1),21754(a,1,2,2)),rewrite([18495(6),22397(7),22(5)])].

23462 x * ((x * y) \ x) = x / y. [para(5(a,1),319(a,2,1)),rewrite([21690(4)])].

23463 x \ ((x * y) / z) = (y / (x * z)) * x. [para(319(a,1),7(a,1,2))].

23492 ((x * C) * y) / ((C * x) \ z) = C * ((C * x) * ((y / z) * x)). [para(101(a,1),319(a,1,2,1,2)),rewrite([13538(7)]),flip(a)].

23516 ((C * x) / y) / (C * C) = x / (C * y). [para(319(a,1),936(a,1,1)),rewrite([13(12,R),48(14)])].

23519 ((C * x) * y) / (C / x) = C * ((x / C) * (y * x)). [para(1045(a,1),319(a,1,2,1,2)),rewrite([13024(9),388(6)]),flip(a)].

23649 C * (C * (x / (C / y))) = (C * x) / (0 / y). [para(19610(a,1),319(a,1,2,1,2)),rewrite([13(6,R)])].

23964 a(x / y,(y / x) * (y / x),z) = 0. [para(22397(a,1),23456(a,1,1))].

24017 ((x * (0 / (C * y))) / C) / (0 / y) = x / (C * C). [para(18492(a,1),322(a,1,1,2,2,2)),rewrite([21690(5),11276(3),5(9),21690(9),79(7),1

9610(13),21415(11),21690(15),11276(13),21690(18),11276(16),10200(17),21690(16),79(14),914(14)])].

24085 (C * (x * (y * x))) / x = C * (C * (x * (y / C))). [para(9(a,1),323(a,1,1,2,2,1))].

24088 (C * (x * ((C * y) * x))) / x = C * (C * (x * y)). [para(13(a,2),323(a,1,1,2,2,1))].

24403 ((x / y) / C) * (y / x) = 0 / C. [para(22397(a,1),21026(a,1,2))].

24547 (x * C) * (y * (y * (x * C))) = C * ((C * x) * (y * (y * x))). [para(101(a,1),327(a,1,1,2,2,2)),rewrite([23492(9),85(6),25(5)]),flip(a

)].

24555 (x * C) * (y * (y * (C * x))) = C * ((C * x) * (y * (y * x))). [para(565(a,2),327(a,2,2,2)),rewrite([327(9),24547(7)]),flip(a)].

24893 (x * y) * (0 / (C * x)) = x * ((y / x) / C). [para(22058(a,1),30(a,1,2,2)),rewrite([10200(5)]),flip(a)].

25189 ((x / y) / C) * ((C * (y / x)) * z) = z. [para(22582(a,1),22602(a,1,2,1))].

25274 x / (x \ y) = x * (y \ x). [para(6(a,1),23462(a,1,2,1)),flip(a)].

25275 (x * y) \ x = x \ (x / y). [para(23462(a,1),7(a,1,2)),flip(a)].

25276 (x / y) * (x \ (x / y)) = (x / y) / y. [para(9(a,1),23462(a,1,2,1))].

25300 (x * y) / (x * C) = x * ((y / x) / C). [para(56(a,1),23462(a,1,2,1)),rewrite([20301(7),25275(4),11271(4),22278(5),24893(6)]),flip(a)].

25352 a(0 / (x * y),x,y) = (x \ (x / y)) * y. [back_rewrite(21792),rewrite([25275(6)])].

25565 x \ (y \ (0 / x)) = (0 / x) / (x * y). [para(21690(a,1),25274(a,2)),rewrite([22584(5),22(4)]),flip(a)].

25597 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(15(a,1),25275(a,1,1)),flip(a)].

25601 ((C * x) * y) \ (x * C) = (x * C) \ ((x * C) / y). [para(76(a,2),25275(a,1,1))].

25631 (x * (y * C)) \ ((x * (y * C)) / a(x,C,y)) = ((x * C) * y) \ (x * (y * C)). [para(75(a,1),25275(a,1,1)),flip(a)].

25632 (x * (C * y)) \ ((x * (C * y)) / a(x,y,C)) = (C * (x * y)) \ (x * (C * y)). [para(77(a,1),25275(a,1,1)),flip(a)].

25666 (x \ (x / y)) / x = 0 / (x * y). [para(25275(a,1),22209(a,1,1))].

26405 (x * (C * y)) * (y \ z) = y * ((C * (y \ x)) * z). [para(33(a,1),371(a,1,1)),rewrite([8(10)])].

26416 C * ((x / (C * (C * C))) * y) = (x / C) * (y / C). [para(644(a,1),371(a,1,1)),rewrite([79(4),14402(12)]),flip(a)].

26480 x * (C * (C * (C * (x * ((x * (C * C)) \ y))))) = C * (x * y). [para(13479(a,1),371(a,2,2,1)),rewrite([56(7),13(5,R),50(6),31(13),2169

0(21),79(19),242(20),49(18)])].

26498 x * ((C / (x * x)) * y) = C * (x \ y). [para(21027(a,1),371(a,1,1)),rewrite([23390(6)]),flip(a)].

26499 (C / x) * (y / C) = C * ((C * x) \ y). [para(19610(a,1),371(a,1,1)),rewrite([79(4),21120(10),21690(11)])].

26502 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(21690(a,1),371(a,1,1)),rewrite([22584(4),22(3),21690(10)]),flip(a)].

26511 x * (((C / (x * x)) / x) * y) = (C / x) * (x \ y). [para(20518(a,1),371(a,1,1)),flip(a)].

26516 (C * (x * x)) \ ((C * x) * y) = (C * x) \ (C * y). [para(22048(a,1),371(a,2,2,1)),rewrite([21690(7),22228(5),22584(10),22(9),21690(9),

21690(14)])].

26524 (x * ((y / x) * z)) \ (x * y) = (x * y) \ (x * ((y / z) * x)). [para(371(a,1),25275(a,1,1)),rewrite([23094(9)])].

26624 x \ ((C * x) * y) = (C / x) * (x * y). [para(13(a,2),372(a,1,2,1))].

26625 x \ (C * (x * y)) = (y / x) * (x * C). [para(13(a,2),372(a,1,2))].

26649 (C * x) \ (C * (C * y)) = x \ ((C / x) * (x * y)). [para(1045(a,1),372(a,1,2,1)),rewrite([25(6),21394(12),21690(14),410(12),26624(11)]

)].

26684 (x * (C * (C * (x * y)))) / C = x * (x * (C * y)). [para(120(a,1),372(a,1,2)),rewrite([79(8),8356(16)])].

26694 (x / (y * C)) * y = (x / y) * (y / C). [para(10200(a,1),372(a,1,2)),rewrite([23463(4),10200(9)])].

26708 (C * (x * C)) \ (x * y) = x \ ((x / (C * C)) * y). [para(14978(a,1),372(a,1,2,1)),rewrite([22500(12),21690(14)]),flip(a)].

26728 (C * x) \ (C * y) = ((C / x) * y) / C. [para(19610(a,1),372(a,1,2,1)),rewrite([79(5),21120(9),21690(12)]),flip(a)].

26731 ((C / x) * (x * (C * y))) / C = (C / x) * (x * y). [para(21415(a,1),372(a,2,1)),rewrite([13(6,R),52(7),26728(8),21690(14),26624(12)])]

.

26732 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(21690(a,1),372(a,1,2,1)),rewrite([22584(5),22(2),21690(9)]),flip(a)].

26738 C * (x \ ((y / x) * (x * C))) = x \ (C * (C * y)). [para(20076(a,1),372(a,1,2,1)),rewrite([25(4),20269(10),21744(12),410(11),26625(10)

]),flip(a)].

26742 (x / C) * ((C / (x * x)) * y) = ((C / x) * y) / C. [para(21020(a,1),372(a,2,1)),rewrite([21023(7),22584(7),21690(14),79(12)])].

26745 (C * x) * ((C * (x * x)) \ y) = C * ((C * x) \ y). [para(22048(a,1),372(a,2,1)),rewrite([21690(11),22228(9),21690(10),22584(9),22(4),2

1690(13)])].

26788 C * ((x / (C * y)) * y) = C * ((x / y) * (y / C)). [back_rewrite(3045),rewrite([26694(11)])].

26798 x \ ((C / x) * (x * y)) = ((C / x) * (C * y)) / C. [back_rewrite(26649),rewrite([26728(7)]),flip(a)].

26800 (C * (x * x)) \ ((C * x) * y) = ((C / x) * y) / C. [back_rewrite(26516),rewrite([26728(12)])].

26830 (x * (C * C)) \ y = (x \ (y / C)) / C. [back_rewrite(21743),rewrite([26728(15),22398(8),21690(11),26708(9),13024(8),6(2)]),flip(a)].

26943 ((x * y) \ (x * (C * y))) / C = a(C * C,x,y). [back_rewrite(5408),rewrite([26728(11),21415(5),21690(7)])].

26983 x \ (C * ((x / y) * (y / C))) = a(x / (C * y),y,C). [back_rewrite(2736),rewrite([26788(6)])].

26994 x * (C * (C * (C * (x * ((x \ (y / C)) / C))))) = C * (x * y). [back_rewrite(26480),rewrite([26830(8)])].

27012 (C * (C * x)) \ y = (x \ (y / C)) / C. [back_rewrite(727),rewrite([26830(10)])].

27071 (x * (x * (C * C))) \ y = (x \ (x \ (y / C))) / C. [back_rewrite(18843),rewrite([27012(6),410(4)]),flip(a)].

27075 ((x * (y * x)) \ (((x * y) * (x * (C * C))) / C)) / C = a(x,y,x * (C * C)). [back_rewrite(17366),rewrite([27012(13)])].

27087 (C * (x * (y * (x * C)))) \ z = ((x * (y * x)) \ (z / C)) / C. [back_rewrite(6688),rewrite([27012(7)]),flip(a)].

27098 (C * (x * (C * x))) \ y = (x \ (x \ (y / C))) / C. [back_rewrite(16862),rewrite([27071(12)])].

27407 x \ (y / (0 / x)) = (x \ y) * x. [para(5(a,1),374(a,1,2)),rewrite([21690(6),21690(7)])].

27449 (C * x) * (0 / (C * y)) = C * ((x / C) * (0 / y)). [para(22048(a,1),374(a,1,1)),rewrite([22048(8),22048(14)]),flip(a)].

27919 C * ((x / (C * y)) * (z * C)) = ((C * x) / y) * z. [para(319(a,1),380(a,2,1)),rewrite([13(6,R),48(8)])].

27932 C * ((((x / C) * (y * C)) / C) * z) = ((C * x) * y) * (z / C). [para(380(a,1),371(a,1,1)),rewrite([79(5)]),flip(a)].

27990 ((C / x) * ((x * C) * y)) / C = (y / (x * C)) * (C * (x * C)). [para(381(a,1),103(a,1,2)),rewrite([26728(8)])].

27993 (x * C) \ (C * ((C * x) * y)) = (y / (C * x)) * (C * (C * x)). [para(381(a,1),104(a,1,2))].

28000 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y / x,C * x). [para(381(a,1),64(a,1,1)),rewrite([12(8),13(6,R)])].

28491 (((C * x) / y) * z) / C = (x / (C * y)) * (C * z). [para(319(a,1),386(a,1,1,1)),rewrite([13(11,R),48(13)])].

28590 x * ((x \ y) * x) = y / (0 / x). [para(6(a,1),18521(a,1,1)),flip(a)].

28628 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(18521(a,1),22397(a,1,2)),flip(a)].

28635 x * (((y / x) * (C * x)) * x) = (C * (x * y)) / (0 / x). [para(381(a,1),18521(a,1,1)),flip(a)].

28695 x \ (y \ (0 / x)) = 0 / (x * (y * x)). [back_rewrite(25565),rewrite([28628(8)])].

28701 x * ((x \ y) / x) = y * (0 / x). [para(6(a,1),18522(a,1,1)),flip(a)].

28720 (x * (C * y)) * (0 / y) = y * (C * (y \ x)). [para(33(a,1),18522(a,1,1)),rewrite([8(11)])].

28730 (C * (x * (y * x))) * (0 / x) = x * ((y * (x * C)) / x). [para(53(a,2),18522(a,1,1))].

28738 (x * (y * (0 / x))) \ (x * (y / x)) = a(x,y,0 / x). [para(18522(a,1),64(a,1,2))].

28754 x * ((x \ y) * (x * z)) = (y / (0 / x)) * z. [para(18522(a,1),191(a,2,1,2)),rewrite([18489(5),5(2),18489(6),5(3),18489(9),5(6),23(7),2

8590(7)])].

28767 ((x * y) / z) * (0 / x) = x * (y / (x * z)). [para(319(a,1),18522(a,1,1)),rewrite([8(9)])].

28777 (x * (y * x)) \ ((x * y) * z) = (x * y) \ ((x * (y / x)) * z). [para(18522(a,1),372(a,1,2,1)),rewrite([28628(9),21690(12)]),flip(a)].

28789 (C * x) \ (y * (C * (y \ x))) = a(x,C * y,0 / y). [back_rewrite(22668),rewrite([28720(8)])].

28795 (x * C) \ (y * (C * (y \ x))) = a(x,C * y,0 / y). [back_rewrite(21939),rewrite([28720(8)])].

28920 ((C / (x * x)) / x) * y = (C / (x * (x * x))) * y. [para(20579(a,1),27(a,1,1)),rewrite([20579(10),21690(9),410(7),2505(8),21690(9),410

(7),7(6),23406(5),21236(3),20579(10),21690(11),410(9),21236(8),23196(9)])].

28943 x * ((C / (x * (x * x))) * y) = (C / x) * (x \ y). [back_rewrite(26511),rewrite([28920(5)])].

28972 C * ((x / C) * ((x * C) \ ((x / C) * (C * y)))) = (x / C) * y. [para(14978(a,1),390(a,2,1)),rewrite([22500(10),13(8,R),21690(14),27012

(12),7678(9),388(13),1460(19)])].

29031 (0 / x) / (C / (x * x)) = x / C. [para(20608(a,1),22397(a,1,2)),rewrite([22397(4)]),flip(a)].

29332 (C * (x * x)) \ y = x \ ((x \ y) / C). [para(22059(a,1),30(a,1,2,1)),rewrite([21690(8),21690(7),79(5),21690(6),21690(11),21709(9),2169

0(10)]),flip(a)].

29360 x \ (((C / x) * (x * y)) / C) = ((C / x) * y) / C. [back_rewrite(26800),rewrite([29332(7),26624(4)])].

29361 x * (C * ((C * x) \ (x \ y))) = C * ((C * x) \ y). [back_rewrite(26745),rewrite([29332(6),2505(7),26499(6)])].

29799 C * ((C * x) \ (y * (C * C))) = (C / x) * (y * C). [para(19610(a,1),401(a,2,1)),rewrite([21120(5),21690(10)])].

30267 x * ((C * ((x \ y) / x)) * x) = (y * (0 / x)) * (C * x). [para(23244(a,1),33(a,1,2,1,2))].

30284 (x \ (0 / y)) / x = 0 / (x * (y * x)). [para(21690(a,1),23244(a,1,2)),rewrite([28695(4)]),flip(a)].

30498 (C * x) \ ((x / C) * (C * y)) = (y / x) * (x / C). [para(10200(a,1),405(a,1,2)),rewrite([7678(7),10200(17),8(15),26694(12)])].

30499 ((x * C) \ ((x / C) * (C * y))) / C = (C * x) \ ((x / C) * y). [para(14978(a,1),405(a,1,2,1)),rewrite([1460(8),22500(14),13(12,R),2169

0(18),27012(16),7678(13)]),flip(a)].

30504 (x * C) \ (C * y) = ((C / x) * y) / C. [para(21027(a,1),405(a,1,2,1)),rewrite([26728(5),22062(9),28628(10),21690(14),28777(12),21027(1

0)]),flip(a)].

30516 ((C / x) * ((C * x) * y)) / C = (y / (C * x)) * (C * (C * x)). [back_rewrite(27993),rewrite([30504(8)])].

30582 ((C * x) / (C * y)) * (C * (C * y)) = (C / y) * ((C * y) * x). [para(99(a,2),408(a,1,2,1)),rewrite([13(7,R),52(9),30504(10),30516(10),

20196(16),21415(15),19610(14)])].

30587 (x * C) \ ((x / C) * y) = ((y / x) / (C * C)) * x. [para(14978(a,1),408(a,1,2,1)),rewrite([25300(8),914(7),644(8),22500(14),13(12,R),2

1690(18),27012(16),386(13),30498(14),13083(12)])].

30601 (C * x) \ ((x / C) * y) = ((y / (C * x)) * x) / C. [back_rewrite(30499),rewrite([30587(8),23516(7)]),flip(a)].

30602 C * ((x / C) * ((y / (C * x)) * x)) = (x / C) * y. [back_rewrite(28972),rewrite([30587(11),23516(10)])].

30603 (x / (C * (C * y))) * (C * y) = (x / y) * (y / C). [back_rewrite(30498),rewrite([30601(8),28491(8)])].

31037 (x / y) * (x \ z) = x * ((x * y) \ z). [para(25666(a,1),371(a,2,2,1)),rewrite([6(3),21690(7)])].

31038 ((x * y) \ (x * ((y / z) * x))) / (x * y) = 0 / (x * ((y / x) * z)). [para(371(a,1),25666(a,2,2)),rewrite([23094(4)])].

31039 (x * y) \ (x * z) = x \ ((x / y) * z). [para(25666(a,1),372(a,2,1)),rewrite([6(3),21690(8)]),flip(a)].

31044 (x / y) * (0 / x) = x * (0 / (x * y)). [para(25666(a,1),18522(a,2,2)),rewrite([6(3)])].

31060 x * ((x * y) \ (x / y)) = (x / y) / y. [back_rewrite(25276),rewrite([31037(4)])].

31061 (x \ ((x / y) * ((y / z) * x))) / (x * y) = 0 / (x * ((y / x) * z)). [back_rewrite(31038),rewrite([31039(5)])].

31066 x \ ((x / (y * (0 / x))) * (y / x)) = a(x,y,0 / x). [back_rewrite(28738),rewrite([31039(7)])].

31075 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [back_rewrite(26943),rewrite([31039(5)])].

31080 x \ ((x / ((y / x) * z)) * y) = x \ ((x / y) * ((y / z) * x)). [back_rewrite(26524),rewrite([31039(5),31039(10)])].

31092 C * (x \ ((x / y) * (y / C))) = a(0 / (C * C),x,y). [back_rewrite(22594),rewrite([31039(6)])].

31098 (x * (y * x)) \ z = x \ (y \ (x \ z)). [back_rewrite(20305),rewrite([31039(11),22403(6),21690(10),31039(8),22398(4),21690(7),31039(5),

22062(2),21690(4),7(2)]),flip(a)].

31172 (C * (x * (y * (x * C)))) \ z = (x \ (y \ (x \ (z / C)))) / C. [back_rewrite(27087),rewrite([31098(12)])].

31174 (x \ (y \ (x \ (((x * y) * (x * (C * C))) / C)))) / C = a(x,y,x * (C * C)). [back_rewrite(27075),rewrite([31098(11)])].

31187 (x / (0 / y)) / ((y \ x) * y) = y. [para(27407(a,1),23(a,1,2))].

31190 ((x * y) / (y * C)) * (C * (y * C)) = x * (y * C). [para(104(a,1),27407(a,2,1)),rewrite([18716(10),26625(9),13(8,R)])].

31207 x * ((y / x) * (z / (0 / x))) = (x * y) * ((x \ z) * x). [para(27407(a,1),371(a,1,2)),flip(a)].

31214 x \ (0 / (x \ y)) = ((0 / x) / y) * x. [para(25666(a,1),27407(a,1,2)),rewrite([21690(4),22584(10),22(6),7(9)])].

31229 x * (((x \ y) / (0 / x)) * x) = y / (0 / (x * x)). [para(28590(a,1),25(a,1)),rewrite([410(6),28754(9)]),flip(a)].

31235 x * ((x \ y) * (C * x)) = C * (y / (0 / x)). [para(28590(a,1),54(a,1,2)),flip(a)].

31237 a(x,x \ y,x) = ((0 / x) / y) * (y * x). [para(28590(a,1),64(a,1,1)),rewrite([6(5),22584(5)]),flip(a)].

31257 x * ((y / (z / (0 / x))) * x) = (x * y) / ((x \ z) * x). [para(28590(a,1),319(a,1,2,1,2))].

31266 (x / (0 / y)) / (0 / y) = y * (((y \ x) * y) * y). [para(28590(a,1),18521(a,1,1))].

31297 x * (0 / (x * (y * x))) = y \ (0 / x). [para(21690(a,1),28701(a,2)),rewrite([30284(4)])].

31301 x \ (x / ((x \ y) / x)) = (y * (0 / x)) \ x. [para(28701(a,1),25275(a,1,1)),flip(a)].

31323 x * (((C / x) * (x \ y)) / C) = ((C / x) * y) / C. [para(29031(a,1),372(a,2,1)),rewrite([23207(9),22584(9),1880(3),13031(9),28943(6),2

6742(14)])].

33993 a(x / C,C * (C / (x * x)),y) = 0. [para(1460(a,1),23964(a,1,1)),rewrite([20196(8),22062(7),19610(6),20196(10),22062(9),19610(8),20211(

7)])].

33994 a(C / x,x * (x / (C * C)),y) = 0. [para(1460(a,1),23964(a,1,2,1)),rewrite([20196(6),22062(5),19610(4),1460(10),4257(7)])].

37637 x \ (y * (x * C)) = (C * (x \ y)) * x. [para(13(a,1),559(a,1,2,2))].

37655 (C * (x * y)) * (0 / x) = x * (y * (C / x)). [para(19610(a,1),559(a,1,2,2)),rewrite([22584(6),22(2),22584(8),22(7)]),flip(a)].

37670 C * ((C * (x \ (y / x))) * x) = x \ (C * (C * y)). [back_rewrite(26738),rewrite([37637(6)])].

37672 x * ((y * (x * C)) / x) = x * ((y * x) * (C / x)). [back_rewrite(28730),rewrite([37655(7)]),flip(a)].

37890 a(x,C * (y * (C * z)),C) = a(x,C * C,y * (C * z)). [para(562(a,1),2684(a,2,2)),rewrite([79(6),49(7),242(12)]),flip(a)].

37916 (x * (y / z)) * (z / y) = x. [para(24403(a,1),562(a,1,2,2)),rewrite([22584(8),22582(7),10200(13),48(11),25189(8),49(5)]),flip(a)].

37973 x / (y / z) = x * (z / y). [para(37916(a,1),8(a,1,1))].

37974 (x * y) * (0 / y) = x. [para(8(a,1),37916(a,1,1,2)),rewrite([22062(3)])].

38021 (x * (0 / y)) \ y = y * (x \ y). [back_rewrite(31301),rewrite([37973(3),25274(2),7(4)]),flip(a)].

38106 x * (((x \ y) * x) * x) = (y * x) * x. [back_rewrite(31266),rewrite([37973(3),22(2),37973(4),22(3)]),flip(a)].

38113 (x * y) / ((x \ z) * x) = x * ((y / (z * x)) * x). [back_rewrite(31257),rewrite([37973(3),22(2)]),flip(a)].

38130 x * ((x \ y) * (C * x)) = C * (y * x). [back_rewrite(31235),rewrite([37973(9),22(8)])].

38133 (x * y) * y = x * (y * y). [back_rewrite(31229),rewrite([37973(4),22(3),38106(4),37973(6),22(5)])].

38140 (x * y) * ((x \ z) * x) = x * ((y / x) * (z * x)). [back_rewrite(31207),rewrite([37973(4),22(3)]),flip(a)].

38149 (x * y) / ((y \ x) * y) = y. [back_rewrite(31187),rewrite([37973(3),22(2)])].

38187 x * ((x \ y) * (x * z)) = (y * x) * z. [back_rewrite(28754),rewrite([37973(7),22(6)])].

38220 x * (((y / x) * (C * x)) * x) = (C * (x * y)) * x. [back_rewrite(28635),rewrite([37973(12),22(11)])].

38235 x * ((x \ y) * x) = y * x. [back_rewrite(28590),rewrite([37973(6),22(5)])].

38250 x \ (y * x) = (x \ y) * x. [back_rewrite(27407),rewrite([37973(3),22(2)])].

38260 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(26732),rewrite([37973(3),22(2)])].

38261 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(26502),rewrite([37973(3),22(2)])].

38288 ((x * (0 / (C * y))) / C) * y = x / (C * C). [back_rewrite(24017),rewrite([37973(10),22(9)])].

38295 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(23649),rewrite([37973(5),37973(12),22(11)])].

38302 ((C * x) * y) * (x / C) = C * ((x / C) * (y * x)). [back_rewrite(23519),rewrite([37973(6)])].

38311 ((x / y) * z) * (y / x) = (x / y) * (z * (y / x)). [back_rewrite(22604),rewrite([37973(7)])].

38314 ((C * x) * (y * C)) * x = C * ((x * C) * (y * x)). [back_rewrite(21929),rewrite([37973(8),22(7)])].

38320 (C / x) * (C * (y * (x / C))) = ((C / x) * y) * x. [back_rewrite(19612),rewrite([37973(6)])].

38323 ((x * C) * y) * (C * x) = C * ((C * x) * (y * x)). [back_rewrite(18666),rewrite([37973(8),22(7)])].

38324 (x * y) * x = x * (y * x). [back_rewrite(18521),rewrite([37973(4),22(3)])].

38406 a(x,0 / y,0 / y) = 0. [back_rewrite(20654),rewrite([38133(10),21690(9),18495(7),20(9)]),flip(a)].

38466 (x * y) \ (z * ((z \ x) * y)) = a(x,z,z \ y). [back_rewrite(2497),rewrite([38260(4)])].

38478 x * (x * ((C / x) * y)) = C * (x * y). [back_rewrite(26994),rewrite([38295(11),38260(7),21066(3),26499(6),21699(8)])].

38479 (C * (x * (y * x))) / x = (C * x) * y. [back_rewrite(24085),rewrite([38295(12)])].

38538 (x * (y * (x * (0 / z)))) * (0 / z) = x * (y * (x * (0 / (z * z)))). [back_rewrite(20651),rewrite([38406(13),5(8)]),flip(a)].

38547 (x * C) * (C * y) = C * (C * (x * y)). [back_rewrite(21697),rewrite([38478(6)]),flip(a)].

38550 (C * x) * (C * y) = C * (C * (x * y)). [back_rewrite(24088),rewrite([38479(7)])].

38552 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(323),rewrite([38479(7)])].

38598 a(x,C,C * y) = a(x,y,C * C). [back_rewrite(2703),rewrite([38547(10),2685(11)]),flip(a)].

38660 (x * (C * (C * C))) * y = C * (C * (C * (x * y))). [back_rewrite(5739),rewrite([38550(13)])].

38666 (x * C) * (y * C) = C * (C * (x * y)). [back_rewrite(849),rewrite([38550(5)]),flip(a)].

38669 C * ((x * C) * (y * x)) = C * (x * ((y * C) * x)). [back_rewrite(38314),rewrite([38552(5),52(6),12(5)]),flip(a)].

38730 (C * (x * ((y * C) * x))) * z = (x * (C * (C * (y * x)))) * z. [back_rewrite(6635),rewrite([38552(12)])].

38790 (C * x) * (y * (C * x)) = C * (x * ((y * C) * x)). [back_rewrite(13537),rewrite([38669(12)])].

38793 (C * (x * ((y * C) * x))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(10504),rewrite([38669(6)])].

38810 (x * (C * (C * (y * x)))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(38730),rewrite([38793(7)]),flip(a)].

38830 x \ (x / y) = 0 / y. [para(37974(a,1),7(a,1,2)),rewrite([25275(2)])].

38831 x * (0 / y) = x / y. [para(9(a,1),37974(a,1,1))].

38836 (x * y) * (x * y) = x * (y * (x * y)). [para(37974(a,1),85(a,1,1,2)),rewrite([38324(2),37973(5),22(4),10(3)]),flip(a)].

38844 a(x,y,0 / y) = 0. [para(37974(a,1),64(a,1,2)),rewrite([18489(3),5(2),20(1)]),flip(a)].

38858 (0 / x) / y = 0 / (y * x). [para(37974(a,1),22062(a,1,2))].

38903 (C * (x * y)) \ (x * (C * y)) = 0 / a(x,y,C). [back_rewrite(25632),rewrite([38830(10)]),flip(a)].

38904 ((x * C) * y) \ (x * (y * C)) = 0 / a(x,C,y). [back_rewrite(25631),rewrite([38830(10)]),flip(a)].

38912 ((C * x) * y) \ (x * C) = 0 / y. [back_rewrite(25601),rewrite([38830(12)])].

38914 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(25597),rewrite([38830(7)]),flip(a)].

38916 a(0 / (x * y),x,y) = 0. [back_rewrite(25352),rewrite([38830(6),9(7)])].

38919 (x * y) \ x = 0 / y. [back_rewrite(25275),rewrite([38830(4)])].

38927 (x * (y * (x / z))) / z = x * (y * (x / (z * z))). [back_rewrite(38538),rewrite([38831(3),38831(6),38831(8)])].

38942 ((x / (C * y)) / C) * y = x / (C * C). [back_rewrite(38288),rewrite([38831(5)])].

38961 (x / y) * x = x * (y \ x). [back_rewrite(38021),rewrite([38831(3),22584(2)])].

38970 (C * (x * y)) / x = x * (y * (C / x)). [back_rewrite(37655),rewrite([38831(6)])].

38992 x / (x * (y * x)) = y \ (0 / x). [back_rewrite(31297),rewrite([38831(5)])].

39000 a(x,y,0 / x) = 0. [back_rewrite(31066),rewrite([38831(3),37973(2),37916(4),20(1)]),flip(a)].

39001 (x / y) / x = x / (x * y). [back_rewrite(31044),rewrite([38831(4),38831(6)])].

39018 x * ((C * ((x \ y) / x)) * x) = (y / x) * (C * x). [back_rewrite(30267),rewrite([38831(9)])].

39059 ((x * y) / z) / x = x * (y / (x * z)). [back_rewrite(28767),rewrite([38831(5)])].

39063 (x * (C * y)) / y = y * (C * (y \ x)). [back_rewrite(28720),rewrite([38831(6)])].

39069 x * ((x \ y) / x) = y / x. [back_rewrite(28701),rewrite([38831(6)])].

39083 (C * x) / (C * y) = C * ((x / C) / y). [back_rewrite(27449),rewrite([38831(7),38831(11)])].

39134 x \ (y / x) = (x \ y) / x. [back_rewrite(23244),rewrite([38831(3)])].

39194 (x * y) / x = x * (y / x). [back_rewrite(18522),rewrite([38831(4)])].

39265 a(x,x \ y,x) = 0. [back_rewrite(31237),rewrite([38858(5),9(7)])].

39266 x \ (0 / (x \ y)) = (y * x) \ x. [back_rewrite(31214),rewrite([38858(7),21690(8)])].

39301 0 / a(x,x * y,C) = a(C,x * x,y). [back_rewrite(2670),rewrite([38903(9)])].

39326 x * ((y * x) * (C / x)) = (C * x) * y. [back_rewrite(38479),rewrite([38970(5)])].

39403 C * (C * (((x / C) / y) * (C * y))) = (C / y) * ((C * y) * x). [back_rewrite(30582),rewrite([39083(5),38550(10)])].

39497 C * ((C * ((x \ y) / x)) * x) = x \ (C * (C * y)). [back_rewrite(37670),rewrite([39134(4)])].

39517 x * ((y * (x * C)) / x) = (C * x) * y. [back_rewrite(37672),rewrite([39326(10)])].

39535 a(x,0 / y,y) = 0. [para(23(a,1),38844(a,1,3)),rewrite([18073(2)])].

39537 a(0 / x,y,x) = 0. [para(23(a,1),39000(a,1,3)),rewrite([18073(2)])].

39567 ((x * (C * y)) \ (C * (C * (x * y)))) / C = a(C,C * (C * x),y). [para(564(a,1),64(a,1,2,1)),rewrite([52(6),38660(14),31039(15),21415(8

),21690(12),79(11)])].

39650 (x / C) * (y * (C * (C * C))) = C * (x * (C * y)). [para(564(a,1),372(a,2,2)),rewrite([38550(8),7(9)]),flip(a)].

39806 a(x,y,x) = 0. [para(7(a,1),39265(a,1,2))].

39812 (x / y) * (y * y) = x * y. [back_rewrite(3323),rewrite([39806(1),5(2)]),flip(a)].

39815 a(x * C,y,C * x) = 0. [para(39806(a,1),2667(a,1)),flip(a)].

39817 C * ((C * x) * (y * x)) = C * (x * ((y * C) * x)). [para(39806(a,1),114(a,1,2)),rewrite([10212(6),5(8),38324(12),38790(12)])].

39820 ((x * C) * y) * (C * x) = C * (x * ((y * C) * x)). [back_rewrite(38323),rewrite([39817(12)])].

39829 (x * C) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(13538),rewrite([39817(12)])].

39837 (x * (x / y)) * y = x * x. [para(39535(a,1),95(a,1,2)),rewrite([9(3),5(2),5(3),38831(4)]),flip(a)].

39843 a(0 / (x * C),y,C * x) = 0. [para(1296(a,1),39537(a,1,1))].

39856 0 / (x \ y) = y \ x. [para(23(a,1),38830(a,1,2)),flip(a)].

39858 (x / y) * (C * x) = x * ((C / y) * x). [para(38830(a,1),33(a,1,2,1,2)),rewrite([38831(4)]),flip(a)].

39859 (x / y) / (x \ (0 / y)) = x * x. [para(38830(a,1),417(a,1,2,2))].

39860 (x \ y) \ x = y \ (x * x). [para(417(a,1),38830(a,1,2)),rewrite([39856(6)]),flip(a)].

39864 x \ (0 / y) = 0 / (y * x). [para(22062(a,1),38830(a,1,2))].

39876 (x * y) \ (x / y) = 0 / (y * y). [para(38830(a,1),22214(a,1,1,2)),rewrite([39864(3),37973(5),21690(5)])].

39885 (x * y) \ y = y \ (x \ y). [back_rewrite(39266),rewrite([39856(3)]),flip(a)].

39893 (x / y) * (y * x) = x * x. [back_rewrite(39859),rewrite([39864(4),37973(5),22(4)])].

39903 x / (x * (y * x)) = 0 / (x * y). [back_rewrite(38992),rewrite([39864(6)])].

39922 (x / y) / y = x / (y * y). [back_rewrite(31060),rewrite([39876(3),38831(4)]),flip(a)].

39996 (x * (y * x)) / z = x * (y * (x / z)). [para(38831(a,1),10(a,1)),rewrite([38831(6)])].

39998 (x * x) / y = x * (x / y). [para(38831(a,1),25(a,1)),rewrite([38831(5)])].

40001 (x * (y * (z * (y * x)))) / u = x * (y * (z * (y * (x / u)))). [para(38831(a,1),31(a,1)),rewrite([38831(8)])].

40028 x * ((y * (z / x)) * x) = (x * y) * z. [para(38831(a,1),319(a,1,2,1,2)),rewrite([37973(2),37973(8),22(7)])].

40031 (x * y) / (z * x) = x * ((y / x) / z). [para(38831(a,1),371(a,2,2)),rewrite([39864(4),38831(5)])].

40032 (x / (y * z)) * y = (x / y) * (y / z). [para(38831(a,1),372(a,1,2)),rewrite([23463(3),38831(7)])].

40310 (x / y) * (C * y) = y * ((C / y) * x). [back_rewrite(39018),rewrite([40028(6),371(4)]),flip(a)].

40313 a(x,y / x,C * x) = a(C,x,y). [back_rewrite(28000),rewrite([40028(8),2651(7)]),flip(a)].

40317 x * ((y / x) / (x \ z)) = x * ((y / (z * x)) * x). [back_rewrite(38113),rewrite([40031(4)])].

40378 x \ ((x * y) / z) = (y / x) * (x / z). [back_rewrite(23463),rewrite([40032(6)])].

40423 x \ (((x / y) * (y / z)) * z) = a(x / (y * z),y,z). [back_rewrite(2641),rewrite([40032(3)])].

40424 x * a(x / (y * z),y,z) = ((x / y) * (y / z)) * z. [back_rewrite(67),rewrite([40032(7)])].

40488 (C / x) * ((C * x) * y) = C * (x * ((C / x) * y)). [back_rewrite(39403),rewrite([40310(8),26499(7),21699(9)]),flip(a)].

40495 x * (x * (((C / x) * y) * x)) = (C * (x * y)) * x. [back_rewrite(38220),rewrite([40310(4),38324(5)])].

40496 x * ((C / x) * (y * x)) = y * (x * C). [back_rewrite(31190),rewrite([40310(9),22062(6),21690(6),38250(4),38140(5)])].

40497 (x \ (y * ((C / y) * x))) / C = a(C * C,x,y). [back_rewrite(31075),rewrite([40310(4)])].

40507 ((C / x) * ((x * C) * y)) / C = x * ((C / x) * y). [back_rewrite(27990),rewrite([40310(16),22062(14),21690(13),371(12)])].

40602 x * (C * (x * ((C / x) * y))) = C * (x * (C * y)). [back_rewrite(22173),rewrite([40488(6)])].

40603 ((C / (x * ((C / x) * y))) * (C * y)) / C = a(C / x,C * x,y). [back_rewrite(20962),rewrite([40488(6),31039(11),79(11)])].

40646 ((x * y) \ ((x * (C * (y * C))) / C)) / C = 0 / a(x,y,C * C). [para(251(a,1),38919(a,1,1)),rewrite([27012(11)])].

40649 x \ ((x / y) * ((y / z) * x)) = z \ x. [para(371(a,1),38919(a,1,1)),rewrite([31039(5),31080(5),39856(8)])].

40683 0 / (x * ((y / x) * z)) = (z \ x) / (x * y). [back_rewrite(31061),rewrite([40649(5)]),flip(a)].

40710 (x \ y) * (y \ x) = 0. [para(39856(a,1),9(a,1,1))].

40715 (x \ y) \ z = (y \ x) * z. [para(39856(a,1),21690(a,1,1)),flip(a)].

40787 x / (y \ z) = x * (z \ y). [para(39856(a,1),38831(a,1,2)),flip(a)].

40790 x \ (y * y) = (x \ y) * y. [back_rewrite(39860),rewrite([40715(2)]),flip(a)].

40801 x * ((y / (z * x)) * x) = x * ((y / x) * (z \ x)). [back_rewrite(40317),rewrite([40787(3)]),flip(a)].

40883 (x \ (C * y)) * ((y * C) \ x) = 0. [para(291(a,1),40710(a,1,2))].

41066 a(x / y,y,0 / x) = 0. [para(38831(a,1),38916(a,1,1,2)),rewrite([37973(3),4(3)])].

41292 C * ((C * x) * (y * (y * x))) = C * (x * (y * (C * (y * x)))). [para(39815(a,1),94(a,1,2)),rewrite([24555(7),5(9),39820(14),13(11,R),1

24(12)])].

41331 (x * C) * (y * (y * (C * x))) = C * (x * (y * (C * (y * x)))). [back_rewrite(24555),rewrite([41292(14)])].

41870 (x * C) * (y * (C * C)) = C * (C * (x * (y * C))). [para(577(a,1),76(a,2)),rewrite([38550(7)]),flip(a)].

42082 (x / (y * y)) * (y * (y / x)) = 0. [para(41066(a,1),94(a,1,2)),rewrite([38831(5),5(7),9(9),38831(8),21(6)])].

42247 x / (y * (z / u)) = x * ((u / z) / y). [para(37973(a,1),37973(a,1,2))].

42459 (x * (y * y)) / y = x * y. [para(38133(a,1),8(a,1,1))].

42517 x / (y * (x * x)) = 0 / (y * x). [para(38133(a,1),22062(a,1,2))].

42549 (x / (y * C)) * (y * (C * C)) = y * ((C / y) * x). [para(38133(a,1),405(a,2,2)),rewrite([13(7,R),31039(8),79(8),40507(8)]),flip(a)].

42656 0 / ((x \ y) * x) = x \ (y \ x). [para(38149(a,1),38830(a,1,2)),rewrite([39885(2)]),flip(a)].

42673 (x / C) * (y * (x * C)) = C * ((x / C) * (y * x)). [para(38235(a,1),246(a,2,2,2)),rewrite([79(4),79(6),1654(9),79(8)]),flip(a)].

42788 (x * (x * (y * x))) * z = x * ((x * y) * (x * z)). [para(38324(a,1),10(a,1,1,2))].

42801 0 / a(x,y,x * z) = a(x * y,x,z). [para(38324(a,1),64(a,1,2,1)),rewrite([10(6),38914(7)])].

42834 C * ((x / C) / (x * ((y * C) * x))) = 0 / ((x * C) * y). [para(38324(a,1),22406(a,1,2)),rewrite([39829(8),39083(9)])].

42918 (x \ (y \ x)) / x = 0 / (y * x). [para(38235(a,1),38858(a,2,2)),rewrite([42656(4)])].

43149 (x / (x * y)) * (x * (y / x)) = 0. [para(39001(a,1),22566(a,1,1)),rewrite([37973(4)])].

43334 (x / y) * (y * C) = y * ((C / y) * x). [para(39069(a,1),56(a,1,1)),rewrite([13(8,R),40028(10),371(8)])].

43351 x * (C * ((y / x) * (C * (x * z)))) = (C * (x * (C * y))) * z. [para(39069(a,1),458(a,2,2,2,1)),rewrite([13(5,R),40028(7),371(5),40602

(7)]),flip(a)].

43376 x \ (C * (x * y)) = x * ((C / x) * y). [back_rewrite(26625),rewrite([43334(8)])].

43428 (C * ((x \ y) / x)) * x = (C / x) * y. [para(39134(a,1),559(a,2,1,2)),rewrite([40310(4),7(5)]),flip(a)].

43437 x \ (C * (C * y)) = C * ((C / x) * y). [back_rewrite(39497),rewrite([43428(6)]),flip(a)].

43445 (C / (x * (C * y))) * (x * y) = a(C,C * (C * x),y). [back_rewrite(39567),rewrite([43437(9),39194(11),49(11)])].

43479 x \ (y * (C * C)) = C * ((C / x) * y). [back_rewrite(20478),rewrite([43437(5)]),flip(a)].

43498 (C / x) * (y * C) = C * (C * (x \ y)). [back_rewrite(29799),rewrite([43479(8),21415(6),21690(5)]),flip(a)].

43564 (x * y) / (y * y) = x / y. [para(39812(a,1),8(a,1,1))].

43720 (x * (C * y)) / C = C * ((x / C) * y). [para(39837(a,1),408(a,1,2,1)),rewrite([13(4,R),25(8),43437(9),42247(7),39922(6),644(7),42247(1

0),39922(9),21744(15),13283(16),13277(16),6(9)]),flip(a)].

43779 ((x * y) \ ((C * x) * y)) / C = 0 / a(x,y,C * C). [back_rewrite(40646),rewrite([43720(8),380(8)])].

43780 C * (((x \ y) / (y * C)) * x) = a(C / y,C * y,x). [back_rewrite(40603),rewrite([43720(11),39001(9),21415(9),40683(7)])].

43851 x \ ((C / x) * (x * y)) = C * (x \ y). [back_rewrite(26798),rewrite([43720(12),39001(10),21415(10),21690(9)])].

43857 (C * x) * (x * y) = x * (x * (C * y)). [back_rewrite(26684),rewrite([43720(8),30(8)])].

43867 (x * (y * (C * C))) / C = (C * x) * y. [back_rewrite(16476),rewrite([43720(7),380(7)]),flip(a)].

43885 (x * (y * (y * C))) / C = C * ((x / C) * (y * y)). [back_rewrite(9932),rewrite([43720(6)]),flip(a)].

43886 (x * (y * C)) / C = C * ((x / C) * y). [back_rewrite(1546),rewrite([43720(5)]),flip(a)].

43942 (x \ (y \ (x * (((C / x) * y) * x)))) / C = a(x,y,x * (C * C)). [back_rewrite(31174),rewrite([43867(8),38250(5),43376(4),38324(5)])].

43979 ((C * x) * y) * (z / C) = C * ((x * (y / C)) * z). [back_rewrite(27932),rewrite([43886(8),39922(6),14703(8)]),flip(a)].

44010 C * ((x / C) * (y * x)) = C * (x * ((y / C) * x)). [back_rewrite(38302),rewrite([43979(6),38324(5)]),flip(a)].

44015 (x / C) * (y * (x * C)) = C * (x * ((y / C) * x)). [back_rewrite(42673),rewrite([44010(12)])].

44020 C * (x * (y / (C * C))) = (x / C) * y. [back_rewrite(30602),rewrite([44010(9),38942(7)])].

44545 x * ((C / x) * (y \ x)) = y \ (C * x). [para(39864(a,1),33(a,1,2,1,2)),rewrite([38831(5),40801(5),21690(10)])].

45046 (C * (x * (y * (C * C)))) * z = C * (((C * x) * y) * (C * z)). [para(681(a,1),30(a,2,1)),rewrite([43720(8),30(8)]),flip(a)].

45047 (C * (x * (C * (C * y)))) * z = C * (((C * x) * y) * (C * z)). [para(681(a,2),30(a,2,1)),rewrite([43867(8)]),flip(a)].

45203 (C * (x * (C * (y * C)))) * z = C * (((C * x) * y) * (C * z)). [back_rewrite(3699),rewrite([45046(16)])].

45211 C * (x / (C * (C * (C * C)))) = x / (C * (C * C)). [para(39922(a,1),644(a,1,2)),rewrite([99(8,R),13(7,R),14402(16)])].

45226 (x \ y) / (y * y) = 0 / (y * x). [para(22209(a,1),39922(a,1,1)),rewrite([38858(3)]),flip(a)].

45975 (x / C) * (C * y) = C * (x * (y / C)). [para(386(a,1),43564(a,2)),rewrite([13(5,R),25300(9),386(6),43720(8),39922(6),14703(8)]),flip(a

)].

46115 ((C * x) * y) / C = C * (x * (y / C)). [back_rewrite(386),rewrite([45975(10)])].

46507 C * ((C / x) * (y * (x / C))) = C * ((x \ y) * x). [para(39843(a,1),113(a,1,2)),rewrite([38547(9),21690(10),43437(8),22062(5),21690(5)

,38250(3),5(6),21690(11),30504(9),45975(12),38311(11)]),flip(a)].

46582 (x * (y * (C * C))) * (C * z) = C * (C * (((C * x) * y) * z)). [para(703(a,1),372(a,1,2,1)),rewrite([52(11),7(12),39194(17),43720(16),

45975(15),38295(16),38550(16)])].

46584 (x * (C * (C * y))) * (C * z) = C * (C * (((C * x) * y) * z)). [para(703(a,2),372(a,1,2,1)),rewrite([52(11),7(12),39194(17),43867(16),

38550(16)])].

46918 (x / y) * (z * (C * C)) = C * ((C * (x / y)) * z). [para(707(a,1),22584(a,2)),rewrite([43437(6),37973(4)]),flip(a)].

46919 (x / y) * (C * (C * z)) = C * ((C * (x / y)) * z). [para(707(a,2),22584(a,2)),rewrite([43479(6),37973(4)]),flip(a)].

47053 C * ((C * (x / (y * C))) * y) = y * ((C / y) * x). [back_rewrite(42549),rewrite([46918(8)])].

48543 (C / x) * (x * y) = (y * x) * (C / x). [para(22062(a,1),733(a,1,1)),rewrite([22062(10),38831(9),39194(7),39517(7),21690(6),38261(4),21

066(2),22062(10),38831(9)])].

50774 a(0 / (C * C),x,y) = a(C,x,C * y). [para(844(a,1),104(a,1,2)),rewrite([13(5,R),38550(10),43437(11),21415(8),21690(8),31039(6),40032(5)

,31092(7)])].

50796 C * (x \ ((x / y) * (y / C))) = a(C,x,C * y). [back_rewrite(31092),rewrite([50774(13)])].

51648 (x / C) * (y * (x / C)) = x * ((y / C) * (x / C)). [para(39812(a,1),852(a,1,1,2,2)),rewrite([44015(6),25300(10),39996(7),38927(9),1498

0(10)]),flip(a)].

51671 (x / C) * (y * x) = x * ((y / C) * x). [back_rewrite(1654),rewrite([51648(7),10202(8)]),flip(a)].

52404 a(C,C * (C * (C * x)),y) = a(C,x,y). [para(872(a,1),64(a,1,2,1)),rewrite([52(8),38550(7),3846(18),10(17),43437(19),21415(12),21690(16)

,27012(14),43720(11),45975(10),38295(11),64(8),49(6)]),flip(a)].

53211 (x * y) / (C * C) = (x / C) * (y / C). [para(922(a,1),405(a,1,2,1)),rewrite([21(7),4(8),49(7),410(5),79(4),39134(5),79(3),39922(5),399

22(13),99(12,R),13(11,R),25(17),46919(18),45211(16),26416(14)])].

53216 C * ((x / C) * (y / C)) = (x * y) / C. [para(922(a,1),38235(a,2)),rewrite([22584(11),39998(8),38550(11),922(16),39194(12),49(12),38311

(11),46507(12),13024(9),38235(3)]),flip(a)].

53255 (x * (x / (C * C))) * y = x * ((x / C) * (y / C)). [back_rewrite(13283),rewrite([53211(11)])].

53256 (x * (x * y)) / C = x * ((x / C) * y). [back_rewrite(13277),rewrite([53211(7),39194(6),49(6)]),flip(a)].

53262 (C * x) * (y / (C * C)) = (x * y) / C. [back_rewrite(922),rewrite([53216(14)])].

53732 a(x,y * C,C * C) = a(x,C,y * (C * C)). [para(99(a,1),38598(a,1,3)),flip(a)].

53734 a(x,C * y,C * C) = a(x,C,y * (C * C)). [para(249(a,1),38598(a,1,3)),flip(a)].

53755 a(x,y * (C * z),C * C) = a(x,C,C * (y * (C * z))). [para(562(a,1),38598(a,1,3)),rewrite([242(6),79(10),49(11)]),flip(a)].

54437 (C / x) / (C * y) = C / (y * (C * x)). [para(389(a,1),38912(a,1,1)),rewrite([25(4),52(5),40790(9),21066(7),21415(7),13(7,R),38831(7),2

5(14),46919(15),644(13),40683(12),21066(7)]),flip(a)].

54453 a(C * C,x,y) = a(C * x,C,y). [para(844(a,1),38912(a,1,1)),rewrite([38550(5),13(10,R),31039(11),21415(6),21690(8),31039(6),43334(5),79(

7),40497(7),42801(10)])].

54456 0 / a(C,x,y * C) = a(C * C,x,y). [para(846(a,1),38912(a,1,1)),rewrite([38552(5),13(10,R),31039(11),21415(6),21690(8),31039(6),40310(5)

,79(7),40497(7)]),flip(a)].

54691 C * ((x / C) / (x * (y * x))) = C / (x * (C * y)). [para(388(a,1),39903(a,2,2)),rewrite([45975(9),38550(10),10202(9),39083(7),40683(14

),21066(9),54437(12)])].

54770 C / (x * (C * (y * C))) = 0 / ((x * C) * y). [back_rewrite(42834),rewrite([54691(9)])].

54827 a(C,x,y * x) = a(x,y,C * x). [para(8(a,1),40313(a,1,2)),flip(a)].

54828 a(x,y / x,x * C) = a(C,x,y). [para(13(a,1),40313(a,1,3))].

55159 C * (C * ((x / C) * y)) = x * (C * y). [para(42082(a,1),813(a,2,2,2,2,2,2)),rewrite([644(13),49(10),13024(9),39996(5),10202(6),21417(5

),8(3),5(12),13024(13),43886(9)]),flip(a)].

55264 (x * y) \ (y * z) = y \ ((x \ y) * z). [para(42918(a,1),372(a,2,1)),rewrite([6(3),21690(8)]),flip(a)].

55427 C * (C * ((C * x) \ y)) = x \ (C * y). [para(45226(a,1),403(a,2,2,1)),rewrite([21066(5),25(6),410(10),79(9),39134(10),79(8),39922(10),

53262(11),21744(5),39194(7),49(7),21690(11),25(10)]),flip(a)].

55956 a(x \ y,x,C * (x \ y)) = a(C,x \ y,y). [para(6(a,1),54827(a,1,3)),flip(a)].

55957 a(C,x / C,y * (x / C)) = a(x / C,y,x). [para(6(a,1),54827(a,2,3)),rewrite([79(3),79(5),79(9)])].

55958 a(C,x,y * x) = a(x,y,x * C). [para(13(a,1),54827(a,2,3))].

56080 a(x,0 / y,x * C) = a(C,x,y \ x). [para(22209(a,1),54828(a,1,2))].

56082 a(x,x / (x * y),x * C) = a(C,x,x / y). [para(39001(a,1),54828(a,1,2))].

56127 a(C,x,(y * C) * x) = a(x,C * y,x * C). [para(76(a,1),55958(a,1,3))].

56136 a(C,x,x * (y \ x)) = a(x,x / y,x * C). [para(38961(a,1),55958(a,1,3))].

56209 (C / x) * (C * y) = C * (C * (x \ y)). [para(33993(a,1),844(a,1,2)),rewrite([38552(10),46919(11),49(5),26498(6),5(7),45975(13),39001(1

1),21415(11),38831(10),22062(8),38831(9)]),flip(a)].

56211 C * (C * (x \ (y * (x / C)))) = ((C / x) * y) * x. [back_rewrite(38320),rewrite([56209(8)])].

56219 (C / x) * (x * ((x / C) * y)) = C * (x * (y / C)). [para(33994(a,1),844(a,1,2)),rewrite([53255(10),8(8),5(9),22359(15),45975(12)])].

56220 (x / C) * (y * C) = C * (x * (y / C)). [para(33994(a,1),846(a,1,2)),rewrite([53255(10),39194(8),49(8),56219(7),5(7),22359(13)]),flip(a

)].

59738 C * (x \ (y * (x / C))) = C * (((x \ y) / C) * x). [para(43149(a,1),1437(a,1,2,2,2)),rewrite([21415(5),21415(8),38831(7),37973(6),5(8)

,21690(7),21415(11),21690(10),388(12)])].

59742 ((C / x) * y) * x = (x \ y) * (C * x). [back_rewrite(56211),rewrite([59738(7),55159(8)]),flip(a)].

59743 a(x,y,x * (C * C)) = a(C * C,x,y). [back_rewrite(43942),rewrite([59742(4),38130(5),43376(4),40497(7)]),flip(a)].

59746 (C * (x * y)) * x = x * (C * (y * x)). [back_rewrite(40495),rewrite([59742(4),38130(5)]),flip(a)].

60059 (C * (x / (C * y))) * y = y * (C * ((C * y) \ x)). [para(1446(a,1),686(a,1,1)),rewrite([53732(13),40424(14),42517(8),38831(7),46918(10

),47053(10),26499(5),27919(19),40032(15),44020(16),39059(11)]),flip(a)].

60067 (C * (x / (y * C))) * y = y * (C * ((C * y) \ x)). [back_rewrite(3044),rewrite([60059(6)]),flip(a)].

60068 x \ (y * (C * ((C * y) \ x))) = a(x / (y * C),C,y). [back_rewrite(2739),rewrite([60067(6)])].

60072 (C * x) \ (y * ((C / y) * x)) = a(x,0 / y,C * y). [para(1447(a,1),103(a,1,2)),rewrite([22062(6),38831(5),40310(6),22062(11)])].

67379 a(x / (y * C),C,y) = 0 / a(x,y,C * x). [para(1925(a,1),38919(a,1,1)),rewrite([31098(9),43376(7),40496(7),31039(6),56220(5),43376(6),26

499(5),60068(7)])].

69592 C / (x * (C * (C * y))) = 0 / ((x * C) * y). [para(76(a,1),2078(a,2,2,2)),rewrite([13(12,R),54770(14)])].

69615 (C * ((x / C) * y)) \ z = (C / (x * (y * C))) * z. [para(2078(a,1),22584(a,2,1)),rewrite([43720(5)])].

71146 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(2507(a,1),372(a,1,2))].

71148 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(2507(a,1),405(a,1,2)),rewrite([8(7),31039(6),79(6),22062(10),2507(13),21690(1

4),71146(12)])].

71197 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(29360),rewrite([71148(6),43851(7)]),flip(a)].

71198 C * ((C / x) * (x * (y / C))) = (C / x) * (x * y). [back_rewrite(26731),rewrite([71197(8),43720(6),71146(7)])].

71201 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(71148),rewrite([71197(6),40378(5)]),flip(a)].

71218 x * (C * (x \ ((x \ y) / C))) = C * (x \ (y / C)). [back_rewrite(31323),rewrite([71197(6),71197(12)])].

71223 (C * (x / y)) * y = (C / y) * (y * x). [back_rewrite(71198),rewrite([71201(7),38295(8)])].

71224 x \ (C * ((x / C) * y)) = C * ((y / x) * (x / C)). [back_rewrite(71146),rewrite([71201(12)])].

71229 (x * C) \ ((C / y) * (y * x)) = a(C,x / y,y). [back_rewrite(2944),rewrite([71223(6)])].

71266 a(C * x,C * y,0 / y) = a(C * C,y,y \ x). [para(2511(a,1),104(a,1,2)),rewrite([13(4,R),26405(10),21066(7),21744(9),28789(11)])].

71277 a(x / (y * C),C,y) = a(C,y,y \ (x / C)). [para(9(a,1),2525(a,1,1)),rewrite([26499(5),60068(7)])].

71278 a(x,0 / y,C * y) = a(C,y,y \ x). [para(13(a,2),2525(a,1,1)),rewrite([60072(7)])].

71279 a(C,x * x,x \ (x \ y)) = a(y,C * x,0 / x). [para(25(a,1),2525(a,1,2)),rewrite([26498(7),28795(7),410(9)]),flip(a)].

71287 a(C,0 / x,x * y) = a(C,y / x,x). [para(21690(a,1),2525(a,1,2)),rewrite([37973(6),22(5),38261(6),21066(4),71229(7),22584(9),22(8)]),fli

p(a)].

71300 a(C,x,C * (C * (y * x))) = a(C,x,C * y). [para(960(a,1),2525(a,1,2)),rewrite([9(5),38552(5),13(8,R),9(15),38666(15),30(18),38547(16),4

3437(17),21415(11),21690(14),31039(12),30603(11),22062(3),21690(7),40378(5),50796(7),9(10),38552(10),7(12)]),flip(a)].

71301 a(x,C / x,y) * a(C,x,x \ y) = 0. [para(2525(a,1),40883(a,1,2)),rewrite([21422(7)])].

71313 a(C,x,((C * x) \ (y / C)) / C) = a(C,x,x \ y). [para(2045(a,1),2525(a,1,2,2,1)),rewrite([22398(16),21690(15),31098(13),79(11),79(13),3

88(14),39194(9),39194(8),49(8),38260(9),21066(5),26499(8),21699(10),2525(7),27012(17),52404(18)]),flip(a)].

71314 a(C,x,x \ (y / C)) = 0 / a(y,x,C * y). [back_rewrite(67379),rewrite([71277(5)])].

71430 C * (x * (C * (x \ (y / C)))) = x * (C * (x \ y)). [para(10(a,1),2563(a,2)),rewrite([31098(9),79(8),86(10),71218(8),20613(14),21690(13

),410(11),6(12)])].

71431 (C / x) * (x * y) = x * (C * (x \ y)). [para(25(a,1),2563(a,2)),rewrite([43857(6),38836(12),27098(13),388(14),53256(8),99(7,R),13(6,R)

,49(6),371(9),8(4),71430(8),38836(14),21415(15),21690(14),31098(12),79(11),38260(13),21066(8),26499(12),29361(13),38550(12),22129(12)]),flip(

a)].

71436 a(x,C * y,0 / y) = a(C,x / y,y). [back_rewrite(71229),rewrite([71431(6),28795(7)])].

71442 (x * y) * (C / y) = y * (C * (y \ x)). [back_rewrite(48543),rewrite([71431(4)]),flip(a)].

71450 a(C,x * x,x \ (x \ y)) = a(C,y / x,x). [back_rewrite(71279),rewrite([71436(10)])].

71451 a(C * C,x,x \ y) = a(C,(C * y) / x,x). [back_rewrite(71266),rewrite([71436(7)]),flip(a)].

71454 (x * C) \ (y * (C * (y \ x))) = a(C,x / y,y). [back_rewrite(28795),rewrite([71436(12)])].

71457 a(C,x / y,y) = a(x,y,C / y). [back_rewrite(21421),rewrite([71442(6),71454(7)])].

71461 a(x * y,y,C / y) = a(C,x,y). [para(8(a,1),71457(a,1,2)),flip(a)].

71464 a(x * (C * y),y * C,0 / y) = a(C,x,y * C). [para(836(a,1),71457(a,1,2)),rewrite([22062(13)]),flip(a)].

71465 a(C,x / (C * y),C * y) = a(C,x / y,y). [para(1296(a,1),71457(a,2,3)),rewrite([22062(13),71436(12)])].

71473 a(x,y * C,0 / y) = a(C,x / y,y). [para(71457(a,2),2713(a,1)),rewrite([71465(7),21415(9)]),flip(a)].

71478 a(x \ y,y,C / y) = a(C,0 / x,y). [para(22209(a,1),71457(a,1,2)),flip(a)].

71489 a(x / y,x,C / x) = a(C,x / (x * y),x). [para(39001(a,1),71457(a,1,2)),flip(a)].

71506 a(C,x * (C * (x \ y)),x) = a(C,y,x * C). [back_rewrite(71464),rewrite([71473(8),39063(5)])].

71633 a(C,x,(x \ y) / x) = a(C,y,0 / x). [para(38831(a,1),71461(a,1,1)),rewrite([37973(7),22(6),71278(6),39134(3)])].

72052 (C / (x * (y * C))) * (x * y) = a(C,x / C,y). [para(13(a,1),2638(a,1,1)),rewrite([79(2),13(5,R),69615(7),79(10)])].

72056 a(C / x,C * x,y) = a(x,C / x,y * C). [para(99(a,1),2638(a,1,2)),rewrite([21066(2),43498(5),43479(11),69592(9),371(6),40683(7),43780(7)

,21066(7)])].

72058 x \ (y * (C * (y \ (x / C)))) = a(x / C,y,x). [para(53(a,1),2638(a,1,1)),rewrite([79(2),79(4),13(6,R),49(6),51671(4),79(6),31039(9),22

062(4),37973(4),4(4),71431(6),79(10),79(12),55957(14)])].

72065 a(C,(C * x) / y,y) = 0 / a(x,y,C * C). [para(245(a,2),2638(a,1,1)),rewrite([38235(5),27012(11),43867(8),43779(7),59743(12),71451(11)])

,flip(a)].

72085 a(C,x / C,C * (C * y)) = 0 / a(x,y,C * C). [para(681(a,1),2638(a,1,1)),rewrite([79(3),46918(8),49(6),27012(11),43720(8),45975(7),38295

(8),43779(7),79(9)]),flip(a)].

72096 x / a(y,z,z \ u) = x * a(z,z \ y,u). [para(2638(a,1),40787(a,2,2)),rewrite([38466(5)])].

72137 a(x,C / x,y * C) = a(x,C,C * (x \ y)). [para(38598(a,2),2638(a,2)),rewrite([99(5,R),13(4,R),43479(11),69592(9),371(6),40683(7),43780(7

),72056(5)])].

72159 a(C,x,(x \ y) * x) = 0 / a(y,x,C). [para(54827(a,2),2638(a,2)),rewrite([38130(5),38903(7)]),flip(a)].

72160 (C * (x * y)) \ (x * (y * C)) = 0 / a(x,y,C). [para(55958(a,2),2638(a,2)),rewrite([38187(5),13(3,R),72159(11)])].

72181 0 / a(x,C,y * (C * C)) = a(C,x / C,y). [para(1599(a,1),2638(a,1,1)),rewrite([79(3),45975(10),42459(8),27012(15),43720(12),46919(11),49

(9),43437(9),72052(8),39194(8),49(8),79(7),72085(14),53734(11)]),flip(a)].

72266 a(C,x,(C * x) \ y) = a(C,x,(x * C) \ y). [para(13(a,1),2639(a,1,1,2,2,1)),rewrite([2691(7)]),flip(a)].

72268 a(C,x / C,x \ y) = a(C,x,(x * C) \ y). [para(49(a,1),2639(a,1,1,2,2,1)),rewrite([31037(5),2691(7),49(12)]),flip(a)].

72305 a(x / (y * z),y,z) = a(x / y,y / z,z). [para(9(a,1),2640(a,1,1)),rewrite([40423(5)])].

72452 a(C,C * (C * (x * (C * C))),y) = a(x,C * y,C). [para(243(a,2),2643(a,1,2,1)),rewrite([25(8),25(10),25(20),45047(22),25(18),42788(21),3

8550(20),43437(23),69592(14),25(11),46919(20),38831(15),21415(13),21690(15),55427(15),2652(11),25(13)]),flip(a)].

72454 a(x,C,y * (C * C)) = a(x,C,y / C). [para(394(a,1),2643(a,1,1,2)),rewrite([99(6,R),13(5,R),13(12,R),49(12),99(14,R),13(13,R),43437(15),

69592(10),38547(7),21690(12),27012(10),43720(7),2661(8),49(8),13(9,R),49(9),53734(10)]),flip(a)].

72487 0 / a(x,C,y / C) = a(C,x / C,y). [back_rewrite(72181),rewrite([72454(7)])].

72493 a(x,C * y,C * C) = a(x,C,y / C). [back_rewrite(53734),rewrite([72454(12)])].

72571 a(C * (C * (x * (C * C))),y,z) = a(C * x,y,z). [para(107(a,2),2644(a,1,1)),rewrite([25(8),25(10),25(17),25(19),52(20),46584(19),43437(

21),21415(13),21690(18),31039(16),69592(10),21690(13),2664(11),79(6),49(7),25(11)]),flip(a)].

72578 a(C * x,C * C,y) = a(C,C * (C * x),y). [para(394(a,1),2644(a,1,2,1)),rewrite([25(8),46919(10),49(6),99(13,R),13(12,R),52(14),38550(13)

,43437(15),21415(10),21690(12),31039(10),43445(9),79(9),49(10),13(11,R),49(11)]),flip(a)].

72580 a(0 / C,x,y) = a(C * C,x,y). [para(564(a,2),2644(a,2,1)),rewrite([25(9),25(11),25(19),25(21),45047(22),25(18),46584(21),25(18),52(19),

43437(23),69592(14),25(11),46919(20),38831(15),69592(13),25(10),21690(15),27012(13),43720(10),31039(11),22353(10),79(8),39922(10),644(11),49(

8),72571(14)])].

72684 (C / (x * y)) * ((x / C) * y) = a(C * C,x,y). [back_rewrite(22353),rewrite([72580(11)])].

72726 a(x,C,C * (C * (C * y))) = a(x,C,y). [para(249(a,1),2646(a,1,2,1,2)),rewrite([13(5,R),13(7,R),99(18,R),13(17,R),43437(19),69592(12),38

547(9),21690(16),27012(14),43867(11),2653(8),49(6),53755(10)]),flip(a)].

72733 a(x,C,(C * y) * x) = a(C * C,x,y). [para(516(a,2),2646(a,1,2,1)),rewrite([13(8,R),13(10,R),99(24,R),13(23,R),43437(25),69592(15),38547

(12),21690(22),31039(20),22403(12),21690(17),31172(15),40001(10),49(7),7(7),43376(6),40497(9),79(7),49(8),72493(15),43867(12)]),flip(a)].

72739 a(x,C,C * (C * y)) = a(x,C,y / C). [para(872(a,1),2646(a,1,2,1,2)),rewrite([13(9,R),13(11,R),99(26,R),13(25,R),43437(27),69592(16),385

47(13),21690(24),27012(22),43720(19),39650(18),43437(16),69592(11),38547(8),21690(13),27012(11),43720(8),2661(9),49(9),49(8),53755(16),72726(

16)]),flip(a)].

72840 a(C,C * (C * x),C * y) = 0 / a(x,C,y). [para(249(a,1),2648(a,1,2,2,2)),rewrite([25(8),38550(9),41870(17),43437(19),21415(12),21690(16)

,31039(14),69592(9),21690(11),38904(9),39864(7),13(6,R),38831(8),21415(6),72578(12)]),flip(a)].

72859 a(x,C * C,C * (C * (C * y))) = a(C,x * C,y). [para(913(a,2),2648(a,2,1)),rewrite([25(16),489(17),13(30,R),489(33),43437(35),69592(20),

25(17),46919(32),38831(21),21415(19),21690(27),55427(27),2652(23),37890(10),72578(26),52404(26),52404(20)])].

72860 a(C,C * (C * x),y) = a(C,x / C,y). [para(983(a,1),2648(a,1,2,2,2)),rewrite([25(18),38550(19),38547(37),43437(39),21415(22),21690(36),3

1039(34),69592(19),38547(16),21690(31),27012(29),43720(26),46919(25),49(17),43437(23),69592(14),38547(11),21690(20),27012(18),43720(15),46918

(14),49(12),43437(12),43445(11),39194(13),49(13),39194(12),49(12),79(9),49(10),72859(24),13(11,R),72840(18),72739(13),72487(12)])].

72865 a(C,x,C * y) = a(C,x,y). [para(1719(a,1),2648(a,2,1)),rewrite([25(14),46584(15),25(10),46584(13),25(10),52(11),38550(10),13(26,R),4658

4(29),25(26),45047(27),25(23),38550(26),43437(31),69592(18),25(15),46919(28),38831(19),69592(17),25(14),46919(23),38831(18),69592(16),25(13),

21690(18),27012(16),46115(13),31039(14),21415(9),21690(11),31039(9),79(10),39922(12),644(13),49(10),50796(7),72578(18),72860(18),39194(15),43

885(14),99(13,R),13(12,R),49(12),72860(12),39194(9),49(9)])].

72904 a(C,x / C,y) = 0 / a(x,C,y). [back_rewrite(72840),rewrite([72865(8),72860(6)])].

72911 a(C,x * C,y) = a(x,C * y,C). [back_rewrite(72452),rewrite([72860(10),42459(7)])].

72924 (C / (x * (C * y))) * (x * y) = 0 / a(x,C,y). [back_rewrite(43445),rewrite([72860(13),72904(11)])].

72930 0 / a(x,y,C * C) = 0 / a(x,C,y). [back_rewrite(72085),rewrite([72865(8),72865(6),72904(4)]),flip(a)].

72956 a(C,x / (C * y),y) = a(C,x / y,y). [back_rewrite(71465),rewrite([72865(7)])].

72958 a(C,x,y * x) = a(C,x,y). [back_rewrite(71300),rewrite([72865(7),72865(5),72865(7)])].

73026 C * (x \ ((x / y) * (y / C))) = a(C,x,y). [back_rewrite(50796),rewrite([72865(11)])].

73080 0 / a(x,C,y / C) = 0 / a(x,C,y). [back_rewrite(72487),rewrite([72904(10)])].

73081 a(C,x,(x * C) \ y) = 0 / a(x,C,x \ y). [back_rewrite(72268),rewrite([72904(5)]),flip(a)].

73098 a(x / C,y,x) = 0 / a(x,C,y). [back_rewrite(55957),rewrite([72958(7),72904(4)]),flip(a)].

73136 a(C,(C * x) / y,y) = 0 / a(x,C,y). [back_rewrite(72065),rewrite([72930(11)])].

73137 ((x * y) \ ((C * x) * y)) / C = 0 / a(x,C,y). [back_rewrite(43779),rewrite([72930(13)])].

73148 a(x,C * y,x * C) = a(C,x,y * C). [back_rewrite(56127),rewrite([72958(5)]),flip(a)].

73161 a(x,y,x * C) = a(C,x,y). [back_rewrite(55958),rewrite([72958(3)]),flip(a)].

73162 a(x,y,C * x) = a(C,x,y). [back_rewrite(54827),rewrite([72958(3)]),flip(a)].

73163 a(C,x,(C * x) \ y) = 0 / a(x,C,x \ y). [back_rewrite(72266),rewrite([73081(10)])].

73167 a(C * C,x,x \ y) = 0 / a(y,C,x). [back_rewrite(71451),rewrite([73136(10)])].

73176 a(C,x,y * C) = a(C,x,y). [back_rewrite(73148),rewrite([73161(5),72865(4)]),flip(a)].

73181 a(C,x,x * (y \ x)) = a(C,x,x / y). [back_rewrite(56136),rewrite([73161(8)])].

73187 a(C,x,x / (x * y)) = a(C,x,x / y). [back_rewrite(56082),rewrite([73161(5)])].

73188 a(C,x,y \ x) = a(C,x,0 / y). [back_rewrite(56080),rewrite([73161(5)]),flip(a)].

73191 a(C,x,y / x) = a(C,x,y). [back_rewrite(54828),rewrite([73161(4)])].

73192 a(C,x,x \ (y / C)) = 0 / a(C,y,x). [back_rewrite(71314),rewrite([73162(9)])].

73195 a(C,x \ y,y) = a(C,x \ y,x). [back_rewrite(55956),rewrite([73162(5)]),flip(a)].

73218 a(C,x * (C * (x \ y)),x) = a(C,y,x). [back_rewrite(71506),rewrite([73176(10)])].

73221 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(54456),rewrite([73176(5)]),flip(a)].

73223 a(C,x,x \ y) = a(C,y,0 / x). [back_rewrite(71633),rewrite([73191(4)])].

73229 a(x,C / x,y) = 0 / a(y,C,x). [back_rewrite(73167),rewrite([73221(5),72096(5),21066(3),4(5)])].

73231 a(x,C,(C * y) * x) = 0 / a(C,x,y). [back_rewrite(72733),rewrite([73221(9)])].

73237 (C / (x * y)) * ((x / C) * y) = 0 / a(C,x,y). [back_rewrite(72684),rewrite([73221(11)])].

73295 a(C * x,C,y) = 0 / a(C,x,y). [back_rewrite(54453),rewrite([73221(4)]),flip(a)].

73298 (x \ (y * ((C / y) * x))) / C = 0 / a(C,x,y). [back_rewrite(40497),rewrite([73221(11)])].

73448 C * (x \ (y \ ((y / C) * x))) = a(C,x * y,x). [para(12(a,1),2651(a,1,1,2)),rewrite([13(9,R),38550(12),38324(10),43437(13),21415(9),216

90(10),31039(8),22062(5),21690(7),31039(5),72865(12)])].

73449 ((C * x) * y) \ (x * (C * y)) = 0 / a(x,C,y). [para(30(a,1),2651(a,1,1)),rewrite([13(7,R),49(7),72865(13),72904(11)])].

73457 a(C,C * x,y / C) = a(x,y,C). [para(388(a,1),2651(a,1,1,2)),rewrite([55159(7),13(7,R),388(10),39194(8),49(8),2652(7)]),flip(a)].

73469 0 / a(x,y * x,C) = a(C,x * y,x). [para(38324(a,1),2651(a,1,1,2)),rewrite([13(7,R),59746(8),38903(9)])].

73477 a(C,x,y * (y * (C * x))) = a(C,x * y,x). [para(1152(a,1),2651(a,1,1,2)),rewrite([38547(18),43437(19),21415(12),21690(16),31039(14),224

21(8),21690(13),31039(11),22064(6),21690(10),410(8),79(7),43720(7),7(8),73448(7),72865(11)]),flip(a)].

73483 a(C,x * y,x) = 0 / a(C,x,y). [para(1927(a,2),2651(a,1,1,2)),rewrite([41331(14),31039(15),21415(8),21690(12),31039(10),22064(4),21690(9

),410(7),7(6),43376(5),79(7),73298(7),73477(10)]),flip(a)].

73485 a(C,x * C,y / C) = a(x,y,C). [para(2507(a,1),2651(a,1,1,2)),rewrite([55159(7),13(7,R),10(10),49(8),2652(7)]),flip(a)].

73555 a(C * x,y,C) = 0 / a(x,C,y). [para(76(a,1),2652(a,1,1)),rewrite([38547(5),31039(11),21415(6),21690(8),79(7),73137(7)]),flip(a)].

73563 a(x / (C * y),y,C) = a(x / y,y / C,C). [para(838(a,1),2652(a,1,1)),rewrite([40032(5),26983(7),72305(10)])].

73564 a(x / (y * C),C * y,C) = a(y,C / y,x). [para(838(a,1),2652(a,1,2,2)),rewrite([46919(8),60067(7),21699(8),21422(7)]),flip(a)].

73568 a(x,(y / x) * (C * (x * C)),C) = 0 / a(x,C,y). [para(402(a,1),2652(a,1,2,2)),rewrite([43351(9),13(7,R),43437(15),21415(10),21690(12),3

1039(10),72924(9),39864(7),13(6,R),38831(8),21415(6)]),flip(a)].

73575 a(x,y * (C * (x * C)),C) = a(C,x,y). [para(519(a,2),2652(a,1,2)),rewrite([43437(17),22403(11),21690(14),31039(12),22398(7),21690(11),3

1098(9),79(7),43886(7),71224(8),7(9),73026(7)]),flip(a)].

73579 a(x / C,y,x) = a(x / y,x,C). [para(38961(a,1),2652(a,1,2,2)),rewrite([39858(4),31098(9),43376(7),44545(7),22584(6),31037(6),55264(5),2

1066(3),79(5),71197(5),72058(7)])].

73632 0 / a(x,C,y) = a(C,x,y). [back_rewrite(73568),rewrite([73575(8),73191(3)]),flip(a)].

73656 a(C * x,y,C) = a(C,x,y). [back_rewrite(73555),rewrite([73632(8)])].

73662 ((C * x) * y) \ (x * (C * y)) = a(C,x,y). [back_rewrite(73449),rewrite([73632(11)])].

73667 a(x,C / x,y) = a(C,y,x). [back_rewrite(73229),rewrite([73632(7)])].

73669 a(C,x,(C * x) \ y) = a(C,x,x \ y). [back_rewrite(73163),rewrite([73632(10)])].

73679 a(x / C,y,x) = a(C,x,y). [back_rewrite(73098),rewrite([73632(7)])].

73690 a(C,x,y / C) = a(C,x,y). [back_rewrite(73080),rewrite([73632(6),73632(8)])].

73707 a(x / (y * C),C * y,C) = a(C,x,y). [back_rewrite(73564),rewrite([73667(10)])].

73710 a(x,C,C * (x \ y)) = a(C,y * C,x). [back_rewrite(72137),rewrite([73667(5)]),flip(a)].

73724 a(C,x,y) * a(C,y,y \ x) = 0. [back_rewrite(71301),rewrite([73667(3)])].

73732 a(x / y,x,C) = a(C,x,y). [back_rewrite(73579),rewrite([73679(3)]),flip(a)].

73735 a(C,x * C,y) = a(x,y,C). [back_rewrite(73485),rewrite([73690(6)])].

73736 a(C,C * x,y) = a(x,y,C). [back_rewrite(73457),rewrite([73690(6)])].

73737 a(C,x,x \ y) = 0 / a(C,y,x). [back_rewrite(71313),rewrite([73690(9),73669(7),73192(5)]),flip(a)].

73750 a(x,C,C * (x \ y)) = a(y,x,C). [back_rewrite(73710),rewrite([73735(9)])].

73759 a(x,C * y,C) = a(x,y,C). [back_rewrite(72911),rewrite([73735(4)]),flip(a)].

73925 a(x / y,y / C,C) = a(C,x,y). [back_rewrite(73707),rewrite([73759(7),72305(5)])].

73991 a(x / (C * y),y,C) = a(C,x,y). [back_rewrite(73563),rewrite([73925(10)])].

74349 a(x * (y * (C * C)),C,z) = 0 / a(C,(C * x) * y,z). [para(243(a,2),2653(a,1,2,1)),rewrite([46582(8),45203(16),31039(17),21415(9),21690(

14),31039(12),40310(11),79(13),73298(13)]),flip(a)].

74350 0 / a(C,x,y) = a(x,C,y). [para(245(a,2),2653(a,1,2,1)),rewrite([46582(9),13(6,R),52(7),38810(18),25(16),25(18),43437(19),69592(12),25(

9),21690(16),27012(14),43720(11),45975(10),38295(11),2653(8),49(6),74349(10),13(8,R),73736(9),73656(7)]),flip(a)].

74353 0 / a(x,y,C) = a(x,C,y). [para(458(a,1),2653(a,1,2)),rewrite([13(6,R),46584(11),25(8),42788(9),38550(8),38550(20),43437(23),69592(14),

25(11),46919(20),38831(15),69592(13),25(10),21690(15),27012(13),43720(10),31039(11),73237(10),74350(7),79(6),39922(8),644(9),49(6),13(8,R),73

295(12),73736(11),73656(9),73735(7)]),flip(a)].

74380 a(C,x,y) \ z = a(x,C,y) * z. [para(2653(a,1),40715(a,2,1)),rewrite([73662(7)])].

74388 x / a(C,y,z) = x * a(y,C,z). [para(2653(a,1),40787(a,2,2)),rewrite([73662(7)])].

74533 a(C,x,x \ y) = a(y,C,x). [back_rewrite(73737),rewrite([74388(7),4(7)])].

74535 a(C,x * y,x) = a(x,C,y). [back_rewrite(73483),rewrite([74388(7),4(7)])].

74574 a(x,C,(C * y) * x) = a(x,C,y). [back_rewrite(73231),rewrite([74388(9),4(9)])].

74583 a(x,C,y * x) = a(x,C,y). [back_rewrite(73469),rewrite([74353(5),74535(6)])].

74587 (C * (x * y)) \ (x * (y * C)) = a(x,C,y). [back_rewrite(72160),rewrite([74353(11)])].

74591 a(C,x * x,y) = a(x,C,x * y). [back_rewrite(39301),rewrite([74353(5)]),flip(a)].

74615 a(C,x,y) * a(x,C,y) = 0. [back_rewrite(73724),rewrite([74533(5)])].

74621 a(C,x,0 / y) = a(x,C,y). [back_rewrite(73223),rewrite([74533(3)]),flip(a)].

74648 a(C,x,y) = a(x,y,C). [back_rewrite(73218),rewrite([74535(6),73750(5)]),flip(a)].

74773 a(x,C,C * y) = a(x,C,y). [back_rewrite(74574),rewrite([74583(5)])].

74787 a(C,x,y \ x) = a(x,C,y). [back_rewrite(73188),rewrite([74621(7)])].

74984 a(C,x / y,y) = a(C,x,y). [back_rewrite(73991),rewrite([74648(5,R),72956(5)])].

75035 a(C,x / y,x) = a(C,x,y). [back_rewrite(73732),rewrite([74648(3,R)])].

75180 a(C,c5,c6) * (a(C,c5,c6) * a(C,c5,c6)) != 0. [back_rewrite(18),rewrite([74648(4,R),74648(8,R),74648(12,R)])].

75189 a(x,C,x \ y) = a(y,x,C). [back_rewrite(73750),rewrite([74773(5)])].

75261 a(x,y,C / y) = a(C,x,y). [back_rewrite(71457),rewrite([74984(3)]),flip(a)].

75264 a(C,x * x,x \ (x \ y)) = a(C,y,x). [back_rewrite(71450),rewrite([74984(8)])].

75269 a(C,0 / x,x * y) = a(C,y,x). [back_rewrite(71287),rewrite([74984(8)])].

75274 a(C,x,x * y) = a(C,x,y). [back_rewrite(71489),rewrite([75261(4),75035(3),75035(6)]),flip(a)].

75321 a(C,x \ y,y) = a(C,0 / x,y). [back_rewrite(71478),rewrite([75261(4)])].

75328 a(C,x,x / y) = a(x,C,y). [back_rewrite(73181),rewrite([75274(4),74787(3)]),flip(a)].

75394 a(x,C,x * y) = a(x,C,y). [back_rewrite(73187),rewrite([75328(4),75328(6)])].

75402 a(C,x * x,y) = a(x,C,y). [back_rewrite(74591),rewrite([75394(6)])].

75407 a(C,x \ y,x) = a(C,y,x). [back_rewrite(75264),rewrite([75402(5),75189(4),74648(3,R)])].

75420 a(C,x \ y,y) = a(C,y,x). [back_rewrite(73195),rewrite([75407(6)])].

75425 a(C,0 / x,y) = a(C,y,x). [back_rewrite(75321),rewrite([75420(3)]),flip(a)].

75427 a(C,x,y) = a(y,C,x). [back_rewrite(75269),rewrite([75425(5),74535(3)]),flip(a)].

75540 (C * (x * y)) * a(x,y,C) = (C * x) * y. [para(74648(a,1),15(a,1,2))].

75638 a(x,y,C) \ z = a(x,C,y) * z. [para(2654(a,1),40715(a,1,1)),rewrite([74587(10)])].

75646 x / a(y,z,C) = x * a(y,C,z). [para(2654(a,1),40787(a,1,2)),rewrite([74587(10)])].

75676 a(x,y,C) * a(x,C,y) = 0. [para(2654(a,1),40883(a,1,1)),rewrite([13(5,R),74587(9)])].

77120 a(x,y,C) * a(C,y,x) = 0. [para(2667(a,1),74615(a,1,2)),rewrite([73736(4),75427(6,R),73176(6)])].

77121 0 / (a(C,x,y) * a(C,x,y)) = a(x,C,y) * a(x,C,y). [para(74615(a,1),22063(a,1,2)),rewrite([74380(5),22(7)]),flip(a)].

77133 a(C,x,y) * a(C,y,x) = 0. [para(75427(a,2),74615(a,1,2))].

77998 0 / (a(x,y,C) * a(x,y,C)) = a(x,C,y) * a(x,C,y). [para(75676(a,1),22063(a,1,2)),rewrite([75638(5),22(7)]),flip(a)].

78941 a(x,y,C) * a(y,C,x) = a(x,y,C) * a(x,y,C). [para(77120(a,1),85(a,1,1,2)),rewrite([5(4),74388(5)])].

78943 a(C,x,y) * a(y,C,x) = a(y,C,x) * a(y,C,x). [para(77120(a,1),22064(a,1,2,2)),rewrite([5(6),75646(5),77998(12)])].

78948 a(C,x,y) * a(C,x,y) = a(C,x,y) * a(y,C,x). [para(77120(a,1),39893(a,1,2)),rewrite([75646(5),5(7)]),flip(a)].

78949 a(x,C,y) * a(x,C,y) = a(y,x,C) * a(x,C,y). [para(77120(a,1),43564(a,1,1)),rewrite([77121(7),74388(10)])].

178454 a(x,y,C) * a(x,y,C) = a(x,C,y). [para(22420(a,1),39893(a,1,1)),rewrite([75540(11),21690(9),2653(7)]),flip(a)].

178460 a(x,y,C) * a(y,C,x) = a(x,C,y). [back_rewrite(78941),rewrite([178454(10)])].

178461 a(x,C,y) * a(x,C,y) = a(y,C,x). [back_rewrite(78949),rewrite([178460(10)])].

178465 a(C,x,y) * a(y,C,x) = a(x,C,y). [back_rewrite(78943),rewrite([178461(10)])].

178471 a(C,x,y) * a(C,x,y) = a(x,C,y). [back_rewrite(78948),rewrite([178465(10)])].

178473 $F. [back_rewrite(75180),rewrite([178471(13),75427(8,R),77133(9)]),xx(a)].

============================== end of proof ==========================

============================== PROOF =================================

% Proof 3 at 639.62 (+ 2.43) seconds.

% Length of proof is 1155.

% Level of proof is 79.

% Maximum clause weight is 39.000.

% Given clauses 7121.

1 a(C,x,y) * (a(C,x,y) * a(C,x,y)) = 0 # label(non_clause) # label(goal). [goal].

4 0 * x = x. [assumption].

5 x * 0 = x. [assumption].

6 x * (x \ y) = y. [assumption].

7 x \ (x * y) = y. [assumption].

8 (x * y) / y = x. [assumption].

9 (x / y) * y = x. [assumption].

10 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

11 x * ((y * C) * x) = (x * y) * (C * x). [assumption].

12 (x * y) * (C * x) = x * ((y * C) * x). [copy(11),flip(a)].

13 C * x = x * C. [assumption].

14 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

15 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(14),flip(a)].

16 a(C,c1,c2) * (a(C,c1,c2) * a(C,c1,c2)) != 0. [deny(1)].

19 0 \ x = x. [para(6(a,1),4(a,1)),flip(a)].

20 x \ x = 0. [para(5(a,1),7(a,1,2))].

21 x / x = 0. [para(4(a,1),8(a,1,1))].

22 x / 0 = x. [para(5(a,1),8(a,1,1))].

23 x / (y \ x) = y. [para(6(a,1),8(a,1,1))].

24 (x / y) \ x = y. [para(9(a,1),7(a,1,2))].

25 (x * x) * y = x * (x * y). [para(4(a,1),10(a,1,1,2)),rewrite([4(5)])].

26 x * (y * (x * ((x * (y * x)) \ z))) = z. [para(10(a,1),6(a,1))].

27 (x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z. [para(6(a,1),10(a,1,1,2)),flip(a)].

28 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(10(a,1),7(a,1,2))].

29 (x * (y * (x * z))) / z = x * (y * x). [para(10(a,1),8(a,1,1))].

30 x * ((y / x) * (x * z)) = (x * y) * z. [para(9(a,1),10(a,1,1,2)),flip(a)].

31 (x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))). [para(10(a,1),10(a,1,1,2)),rewrite([10(9)])].

33 x * ((C * (x \ y)) * x) = y * (C * x). [para(6(a,1),12(a,1,1)),rewrite([13(6,R)]),flip(a)].

35 (x * y) \ (x * ((y * C) * x)) = C * x. [para(12(a,1),7(a,1,2))].

37 (x / y) * ((y * C) * (x / y)) = x * (C * (x / y)). [para(9(a,1),12(a,1,1)),flip(a)].

39 ((C * x) * (x * ((y * C) * x))) * z = (C * x) * ((x * y) * ((C * x) * z)). [para(12(a,1),10(a,1,1,2))].

40 x * ((C * (y * x)) * x) = x * (y * (x * (C * x))). [para(12(a,1),10(a,1)),rewrite([13(3,R)])].

42 (x * (y * (x * z))) * (C * (x * (y * x))) = x * (y * (x * ((z * C) * (x * (y * x))))). [para(10(a,1),12(a,1,1)),rewrite([10(16)])].

43 x * ((C * (y * (z * y))) * x) = x * ((y * (z * (y * C))) * x). [para(10(a,1),12(a,2,2,1)),rewrite([12(6),13(4,R)])].

45 C \ (x * C) = x. [para(13(a,1),7(a,1,2))].

46 x \ (C * x) = C. [para(13(a,2),7(a,1,2))].

48 (C * x) / C = x. [para(13(a,2),8(a,1,1))].

49 C * (x / C) = x. [para(13(a,2),9(a,1))].

50 (x * (x * C)) * y = x * (C * (x * y)). [para(13(a,1),10(a,1,1,2))].

51 C * (x * (C * y)) = C * (x * (y * C)). [para(13(a,1),10(a,2,2,2)),rewrite([10(5)])].

52 (C * (C * x)) * y = C * (x * (C * y)). [para(13(a,2),10(a,1,1,2))].

53 C * (x * (y * x)) = x * (y * (x * C)). [para(13(a,2),10(a,1))].

54 C * (x * (y * x)) = x * (y * (C * x)). [para(13(a,2),10(a,2,2,2)),rewrite([13(4,R)])].

56 (x * y) * (x * C) = x * ((y * C) * x). [para(13(a,1),12(a,1,2))].

57 (C * x) * (C * x) = x * (C * (C * x)). [para(13(a,2),12(a,1,1)),rewrite([25(9)])].

63 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(6(a,1),15(a,1,1,2))].

64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(15(a,1),7(a,1,2))].

66 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(9(a,1),15(a,1,1,2))].

67 x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z. [para(9(a,1),15(a,1,1))].

69 x * (y * (x * a(x,y,x))) = (x * y) * x. [para(15(a,1),10(a,1)),flip(a)].

71 (x * (y * (x * (z * u)))) * a(x * (y * x),z,u) = (x * (y * (x * z))) * u. [para(10(a,1),15(a,1,1)),rewrite([10(11)])].

73 (x * (y * ((z * C) * y))) * a(x,y * z,C * y) = (x * (y * z)) * (C * y). [para(12(a,1),15(a,1,1,2))].

75 (x * (y * C)) * a(x,C,y) = (x * C) * y. [para(13(a,1),15(a,1,1,2))].

76 (C * x) * y = (x * C) * y. [para(13(a,1),15(a,2,1)),rewrite([15(6)])].

77 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(13(a,2),15(a,1,1,2)),rewrite([13(9,R)])].

79 C \ x = x / C. [para(9(a,1),45(a,1,2))].

83 x * (x * ((x * x) \ y)) = y. [para(25(a,1),6(a,1))].

85 (x * (x * y)) / y = x * x. [para(25(a,1),8(a,1,1))].

86 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(25(a,1),10(a,1,1,2)),rewrite([25(7)])].

91 C * (x * x) = x * (x * C). [para(25(a,1),13(a,2))].

92 C * (C * x) = C * (x * C). [para(13(a,1),25(a,2,2)),rewrite([25(4)])].

93 C * (x * x) = x * (C * x). [para(13(a,2),25(a,2,2)),rewrite([13(3,R)])].

94 (x * (y * (y * z))) * a(x,y * y,z) = (x * (y * y)) * z. [para(25(a,1),15(a,1,1,2))].

95 (x * (x * (y * z))) * a(x * x,y,z) = (x * (x * y)) * z. [para(25(a,1),15(a,1,1)),rewrite([25(8)])].

99 C * (x * C) = x * (C * C). [para(49(a,1),12(a,1,1)),rewrite([13(9,R),49(9)]),flip(a)].

100 (x * y) * a(x,C,y / C) = (x * C) * (y / C). [para(49(a,1),15(a,1,1,2))].

101 (x * C) * ((C * x) \ y) = y. [para(76(a,1),6(a,1))].

102 (C * x) * ((x * C) \ y) = y. [para(76(a,2),6(a,1))].

103 (C * x) \ ((x * C) * y) = y. [para(76(a,1),7(a,1,2))].

104 (x * C) \ ((C * x) * y) = y. [para(76(a,2),7(a,1,2))].

106 ((x * C) * (y * (C * x))) * z = (C * x) * (y * ((C * x) * z)). [para(76(a,1),10(a,1,1))].

107 (C * x) * (y * ((C * x) * z)) = (C * x) * (y * ((x * C) * z)). [para(76(a,1),10(a,2,2,2)),rewrite([10(7)])].

108 ((C * x) * (y * (x * C))) * z = (x * C) * (y * ((x * C) * z)). [para(76(a,2),10(a,1,1))].

109 (x * C) * (y * ((C * x) * z)) = (x * C) * (y * ((x * C) * z)). [para(76(a,2),10(a,2,2,2)),rewrite([10(7)]),flip(a)].

110 (C * (x * (y * x))) * z = (x * (y * (x * C))) * z. [para(10(a,1),76(a,2,1))].

113 (x * ((y * C) * z)) * a(x,C * y,z) = (x * (C * y)) * z. [para(76(a,1),15(a,1,1,2))].

114 ((x * C) * (y * z)) * a(C * x,y,z) = ((C * x) * y) * z. [para(76(a,1),15(a,1,1))].

115 ((C * x) * y) * z = ((x * C) * y) * z. [para(76(a,1),15(a,2,1)),rewrite([15(8)])].

120 (C * x) * ((C * x) * y) = x * (C * (C * (x * y))). [para(76(a,1),25(a,1,1)),rewrite([12(5),25(4),86(6)]),flip(a)].

123 ((C * x) * (x * C)) * y = (x * C) * ((x * C) * y). [para(76(a,2),25(a,1,1))].

124 (C * (x * x)) * y = x * (C * (x * y)). [para(25(a,1),76(a,2,1)),rewrite([50(8)])].

125 x * (y * ((y * (x * y)) \ z)) = y \ z. [para(26(a,1),7(a,1,2)),flip(a)].

139 x * ((x * x) \ y) = x \ y. [para(83(a,1),7(a,1,2)),flip(a)].

150 (x * y) / (x \ y) = x * x. [para(6(a,1),85(a,1,1,2))].

155 (C * (x * C)) / x = C * C. [para(13(a,1),85(a,1,1,2))].

161 (C * x) * (x * C) = x * (C * (C * x)). [para(76(a,2),85(a,2)),rewrite([85(7),56(5),25(4)]),flip(a)].

164 (x * C) * ((x * C) * y) = x * (C * (C * (x * y))). [back_rewrite(123),rewrite([161(5),86(6)]),flip(a)].

165 x \ (C * (x * x)) = x * C. [para(91(a,2),7(a,1,2))].

167 C * ((x / C) * (x / C)) = (x / C) * x. [para(9(a,1),91(a,2,2))].

169 C * (x * (C * (y * y))) = C * (x * (y * (y * C))). [para(91(a,1),10(a,2,2,2)),rewrite([10(6)])].

174 C * (x * (x * x)) = x * (C * (x * x)). [para(91(a,2),10(a,2,2)),rewrite([13(4,R)])].

191 (x * ((x \ y) * z)) * ((x \ y) * ((x * ((x \ y) * z)) * u)) = ((x * ((x \ y) * z)) * (((x \ y) * y) * z)) * u. [para(27(a,1),10(a,1,1,2)

),flip(a)].

197 (((x \ y) * y) * z) * a(x \ y,x,(x \ y) * z) = ((x \ y) * x) * ((x \ y) * z). [para(27(a,1),15(a,1,1))].

216 (x / C) * (C * x) = C * ((x / C) * x). [para(92(a,2),27(a,1,2)),rewrite([79(2),79(6),49(7),79(7),13(10,R)])].

236 (x * (C * C)) / C = x * C. [para(99(a,1),7(a,1,2)),rewrite([79(6)])].

237 x \ (C * (x * C)) = C * C. [para(99(a,2),7(a,1,2))].

242 (x * (C * C)) * y = C * (x * (C * y)). [para(99(a,1),10(a,1,1))].

243 C * (x * (C * (y * C))) = C * (x * (y * (C * C))). [para(99(a,1),10(a,2,2,2)),rewrite([10(7)])].

244 C * (x * (C * x)) = x * (x * (C * C)). [para(99(a,1),10(a,2,2)),rewrite([13(5,R)])].

245 C * (C * (x * (y * x))) = x * (y * (x * (C * C))). [para(99(a,2),10(a,1)),rewrite([13(5,R)])].

246 C * (C * (x * (y * x))) = x * (y * (C * (x * C))). [para(99(a,2),10(a,2,2,2)),rewrite([99(6,R),13(5,R)])].

249 C * (C * x) = x * (C * C). [para(13(a,2),99(a,1,2))].

251 (x * (C * (y * C))) * a(x,y,C * C) = C * (C * (x * y)). [para(99(a,2),15(a,1,1,2)),rewrite([99(15,R),13(14,R)])].

254 C * (C * (x * x)) = x * (x * (C * C)). [para(99(a,2),25(a,1)),rewrite([13(4,R)])].

259 (x * C) * (x * (C * C)) = C * (x * (C * (C * x))). [para(99(a,1),93(a,2,2)),rewrite([56(6),25(5)]),flip(a)].

260 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(6(a,1),28(a,1,2,2,2))].

265 (C * (C * (x * y))) \ (C * (x * ((y * C) * x))) = x. [para(12(a,1),28(a,1,2,2)),rewrite([13(4,R)])].

291 (C * x) \ y = (x * C) \ y. [para(101(a,1),7(a,1,2)),flip(a)].

292 (x * (y * (x * C))) * ((C * (x * (y * x))) \ z) = z. [para(10(a,1),101(a,1,1))].

295 x * (C * (C * (x * ((C * x) \ y)))) = (x * C) * y. [para(101(a,1),25(a,2,2)),rewrite([56(5),25(4),86(9)])].

300 (C * x) * ((C * ((x * C) \ y)) * (C * x)) = y * (C * (C * x)). [para(102(a,1),12(a,1,1)),rewrite([13(12,R)]),flip(a)].

301 ((C * C) \ x) * x = (x / C) * (x / C). [para(102(a,1),12(a,2,2)),rewrite([13(6,R),139(6),79(2),139(8),79(4)]),flip(a)].

302 (x * y) * a(x,C * z,(z * C) \ y) = (x * (C * z)) * ((z * C) \ y). [para(102(a,1),15(a,1,1,2))].

305 (C * x) \ (x * C) = 0. [para(5(a,1),103(a,1,2))].

317 (x * (y * z)) / (x \ z) = x * (y * x). [para(6(a,1),29(a,1,1,2,2))].

318 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(9(a,1),29(a,1,1,2,2))].

319 x * ((y / (x * z)) * x) = (x * y) / z. [para(9(a,1),29(a,1,1,2)),flip(a)].

322 ((x * y) * (z * (x * ((y * C) * x)))) / (C * x) = (x * y) * (z * (x * y)). [para(12(a,1),29(a,1,1,2,2))].

323 (C * (x * ((y * C) * x))) / x = C * (C * (x * y)). [para(12(a,1),29(a,1,1,2)),rewrite([13(11,R)])].

325 (x * (y * (C * x))) / C = x * (y * x). [para(13(a,2),29(a,1,1,2,2))].

327 (x * (y * (y * (x * z)))) / z = x * (y * (y * x)). [para(25(a,1),29(a,1,1,2)),rewrite([25(7)])].

356 (x * C) \ (C * (x * (C * (C * x)))) = C * (C * x). [para(91(a,2),104(a,1,2)),rewrite([57(8),13(14,R)])].

371 (x * y) * (x \ z) = x * ((y / x) * z). [para(6(a,1),30(a,1,2,2)),flip(a)].

372 x \ ((x * y) * z) = (y / x) * (x * z). [para(30(a,1),7(a,1,2))].

374 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) * y. [para(9(a,1),30(a,1,2,2))].

380 C * ((x / C) * (y * C)) = (C * x) * y. [para(13(a,1),30(a,1,2,2))].

381 x * ((y / x) * (C * x)) = C * (x * y). [para(13(a,2),30(a,1,2,2)),rewrite([13(8,R)])].

386 ((C * x) * y) / C = (x / C) * (C * y). [para(30(a,1),48(a,1,1))].

388 (C * x) * (y / C) = C * ((x / C) * y). [para(49(a,1),30(a,1,2,2)),flip(a)].

389 (x * C) * ((y / (C * x)) * ((C * x) * z)) = ((C * x) * y) * z. [para(30(a,1),76(a,1)),flip(a)].

390 (C * x) * ((y / (x * C)) * ((x * C) * z)) = ((x * C) * y) * z. [para(30(a,1),76(a,2))].

394 C * ((x / C) * (y * (y * C))) = (C * x) * (y * y). [para(91(a,1),30(a,1,2,2))].

401 C * ((x / C) * (y * (C * C))) = (C * x) * (y * C). [para(99(a,1),30(a,1,2,2))].

402 x * ((y / x) * (C * (x * C))) = C * (C * (x * y)). [para(99(a,2),30(a,1,2,2)),rewrite([99(12,R),13(11,R)])].

403 ((x * C) * y) * ((C * x) \ z) = (x * C) * ((y / (x * C)) * z). [para(101(a,1),30(a,1,2,2)),flip(a)].

405 (C * x) \ (((x * C) * y) * z) = (y / (x * C)) * ((x * C) * z). [para(30(a,1),103(a,1,2))].

408 (x * C) \ (((C * x) * y) * z) = (y / (C * x)) * ((C * x) * z). [para(30(a,1),104(a,1,2))].

410 (x * x) \ y = x \ (x \ y). [para(139(a,1),7(a,1,2)),flip(a)].

417 x / (y \ (y \ x)) = y * y. [para(139(a,1),85(a,1,1,2)),rewrite([6(2),410(2)])].

420 ((x / C) / C) * x = (x / C) * (x / C). [back_rewrite(301),rewrite([410(4),79(3),79(4)])].

423 x / (x \ 0) = x * x. [para(5(a,1),150(a,1,1))].

428 (x * C) / (x / C) = C * C. [para(13(a,1),150(a,1,1)),rewrite([79(4)])].

429 (C * x) / (x \ C) = x * x. [para(13(a,2),150(a,1,1))].

436 (x * (C * C)) / x = C * C. [para(99(a,1),150(a,1,1)),rewrite([79(8),8(8)])].

444 (0 / x) * (0 / x) = (0 / x) / x. [para(24(a,1),423(a,1,2)),flip(a)].

458 (x * (C * (x * ((y * C) * x)))) * z = x * (C * ((x * y) * (C * (x * z)))). [para(12(a,1),31(a,1,1,2,2))].

463 (C * (x * (y * (C * x)))) * z = C * (x * (y * (x * (C * z)))). [para(13(a,2),31(a,1,1,2,2,2))].

489 (x * (x * (C * (y * (x * (x * C)))))) * z = x * (x * (C * (y * (C * (x * (x * z)))))). [para(91(a,1),31(a,1,1,2,2,2)),rewrite([25(8),25(

14),25(18)])].

516 C * (x * (C * (y * (C * x)))) = x * (C * (y * (x * (C * C)))). [para(99(a,1),31(a,2,2,2,2)),rewrite([13(8,R)])].

519 C * (C * (x * (y * (x * C)))) = C * (x * (y * (C * (x * C)))). [para(99(a,2),31(a,2,2,2,2)),rewrite([13(8,R)])].

545 (x * (C * (x * C))) * y = x * (C * (C * (x * y))). [para(155(a,1),30(a,1,2,1)),rewrite([25(5)]),flip(a)].

559 x \ (y * (C * x)) = (C * (x \ y)) * x. [para(33(a,1),7(a,1,2))].

562 x * ((C * (x \ y)) * (x * z)) = (y * (C * x)) * z. [para(33(a,1),10(a,1,1)),flip(a)].

564 C * (C * (C * x)) = x * (C * (C * C)). [para(12(a,1),33(a,1,2)),rewrite([410(8),79(7),79(8),13(10,R),49(10),13(8,R),49(8),25(6)])].

565 x * (C * y) = x * (y * C). [para(13(a,1),33(a,2,2)),rewrite([33(5)])].

577 x * (C * (y * C)) = x * (y * (C * C)). [para(99(a,1),33(a,2,2)),rewrite([33(11)])].

644 C * (x / (C * C)) = x / C. [para(9(a,1),236(a,1,1)),rewrite([13(8,R)]),flip(a)].

646 (C * (x * (C * C))) * y = C * ((x * C) * (C * y)). [para(236(a,1),30(a,1,2,1)),flip(a)].

648 (x / C) \ (C * x) = C * C. [para(9(a,1),237(a,1,2,2))].

650 (C * (x \ C)) * x = C * C. [para(13(a,2),237(a,1,2,2)),rewrite([559(5)])].

681 C * (x * (C * (C * y))) = C * (x * (y * (C * C))). [para(249(a,1),10(a,2,2,2)),rewrite([10(7)])].

686 (x * (C * (C * y))) * a(x,y,C * C) = C * (C * (x * y)). [para(249(a,2),15(a,1,1,2)),rewrite([99(15,R),13(14,R)])].

703 C * (C * (x * (C * (C * y)))) = C * (C * (x * (y * (C * C)))). [para(249(a,1),31(a,2,2,2,2)),rewrite([31(9)])].

707 x * (C * (C * y)) = x * (y * (C * C)). [para(249(a,1),33(a,2,2)),rewrite([33(11)])].

727 (C * (C * x)) \ y = (x * (C * C)) \ y. [para(249(a,1),291(a,1,1)),rewrite([13(9,R)]),flip(a)].

733 (x / (y * (z * y))) * ((y * (z * (y * C))) * (x / (y * (z * y)))) = x * (C * (x / (y * (z * y)))). [para(10(a,1),37(a,1,2,1))].

735 C * ((x / C) * x) = x * x. [para(13(a,1),37(a,1,2,1)),rewrite([25(8),49(7),216(5),49(9)])].

746 (x * y) * (C * (x * x)) = x * ((y * (C * x)) * x). [para(150(a,1),37(a,1,1)),rewrite([13(4,R),150(7),25(7),562(6),150(10)]),flip(a)].

752 (x / C) * (C * x) = x * x. [back_rewrite(216),rewrite([735(10)])].

756 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [para(25(a,1),410(a,1,1)),rewrite([410(7),410(8)])].

768 (x * C) * (C * (C * C)) = C * (C * (x * (C * C))). [para(428(a,1),37(a,1,1)),rewrite([13(7,R),49(7),428(8),25(8),428(16)]),flip(a)].

770 (C * (C / x)) / x = (C / x) * (C / x). [para(24(a,1),429(a,1,2))].

813 (C * (x * (C * (y * (C * (C * x)))))) * z = C * (x * (C * (y * (C * (x * (C * z)))))). [para(102(a,1),39(a,2,2,1)),rewrite([13(11,R),300

(15),52(10),52(20),52(22)])].

829 x / (x / (C * C)) = C * C. [para(9(a,1),436(a,1,1))].

835 (x * (y * C)) / (C * y) = x. [para(565(a,1),8(a,1,1))].

836 (x * (C * y)) / (y * C) = x. [para(565(a,2),8(a,1,1))].

837 (x / (C * y)) * (y * C) = x. [para(565(a,1),9(a,1))].

838 (x / (y * C)) * (C * y) = x. [para(565(a,2),9(a,1))].

844 (x * (y * (z * C))) * a(x,y,C * z) = (x * y) * (C * z). [para(565(a,1),15(a,1,1,2))].

846 (x * (y * (C * z))) * a(x,y,z * C) = (x * y) * (z * C). [para(565(a,2),15(a,1,1,2))].

849 (C * x) * (C * y) = (x * C) * (y * C). [para(565(a,1),76(a,2))].

852 (x * (y * (x * (z * C)))) / (C * z) = x * (y * x). [para(565(a,1),29(a,1,1,2,2))].

866 (C * (x * y)) * y = x * (y * (C * y)). [para(40(a,1),7(a,1,2)),rewrite([7(6)]),flip(a)].

867 (x * (y * (x * (C * x)))) * z = x * ((C * (y * x)) * (x * z)). [para(40(a,1),10(a,1,1))].

872 C * (C * (C * (C * x))) = C * (x * (C * (C * C))). [para(13(a,2),40(a,1,2,1,2)),rewrite([13(7,R)])].

913 C * (C * (C * (C * (C * (x * C))))) = C * (C * (C * (x * (C * (C * C))))). [para(40(a,1),40(a,1,2,1)),rewrite([13(11,R),746(23),99(20,R)

,13(19,R),13(22,R)]),flip(a)].

914 (x / C) / C = x / (C * C). [para(644(a,1),7(a,1,2)),rewrite([79(4)])].

915 (x / C) / (x / (C * C)) = C. [para(644(a,1),8(a,1,1))].

922 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(644(a,1),30(a,1,2,2)),flip(a)].

933 (x / (C * C)) * x = (x / C) * (x / C). [back_rewrite(420),rewrite([914(4)])].

935 (x / C) \ (x * C) = C * C. [para(13(a,1),648(a,1,2))].

936 (C * x) / (C * C) = x / C. [para(648(a,1),23(a,1,2))].

940 (x * x) / (C * C) = (x / C) * (x / C). [para(648(a,1),150(a,1,2)),rewrite([752(5)])].

942 (x / C) * (C * (C * x)) = (C * x) * x. [para(648(a,1),33(a,1,2,1,2)),rewrite([50(10),49(8),49(13)])].

949 (x * (y * z)) * (C * (x * (y * x))) = x * (y * ((z * (C * x)) * (y * x))). [para(6(a,1),42(a,1,1,2,2)),rewrite([13(10,R),562(14)])].

960 x * (y * (x * ((C * z) * (x * (y * x))))) = x * (y * (x * ((z * C) * (x * (y * x))))). [para(13(a,2),42(a,2,2,2,2,1)),rewrite([949(8),12

(4),10(6)]),flip(a)].

983 C * (C * (C * (C * (C * (C * (C * x)))))) = C * (C * (C * (C * (C * (x * (C * C)))))). [para(91(a,1),42(a,1,2,2)),rewrite([949(14),99(8,

R),13(7,R),99(12,R),13(11,R),768(25)])].

1040 (C * (x \ C)) \ (C * C) = x. [para(650(a,1),7(a,1,2))].

1041 (C * C) / x = C * (x \ C). [para(650(a,1),8(a,1,1))].

1045 (C * x) * (C / x) = C * C. [para(24(a,1),650(a,1,1,2))].

1060 (x * x) / C = (x / C) * x. [para(735(a,1),7(a,1,2)),rewrite([79(3)])].

1097 (x * x) / (C * x) = x / C. [para(752(a,1),8(a,1,1))].

1099 (C * x) * x = C * (x * x). [para(752(a,1),10(a,2,2)),rewrite([13(5,R),49(5)])].

1110 (C * (x * x)) / x = C * x. [para(752(a,1),29(a,1,1,2)),rewrite([13(9,R),49(9)])].

1122 (x / C) * (C * (C * x)) = C * (x * x). [back_rewrite(942),rewrite([1099(10)])].

1133 (x / (C * C)) * (C * (C * ((x / (C * C)) * y))) = (x / C) * ((x / C) * y). [para(829(a,1),30(a,1,2,1)),rewrite([25(13),933(19),25(20)])

].

1152 x * (C * (y * (y * (C * x)))) = x * (y * (C * (C * (y * x)))). [para(13(a,1),43(a,1,2,1,2,2)),rewrite([86(6),545(13)])].

1296 x / (C * y) = x / (y * C). [para(9(a,1),835(a,1,1))].

1363 C * (x * (C * (x * (C * ((C * x) \ y))))) = (x * C) * (C * y). [para(101(a,1),50(a,2,2,2)),rewrite([13(6,R),93(7,R),56(6),25(5),463(11)

])].

1425 x * a(x / (C * y),y,C) = C * ((x / (C * y)) * y). [para(837(a,1),15(a,1,1)),rewrite([13(12,R)])].

1437 C * (x * ((y / (C * x)) * (x * (C * z)))) = (C * (x * y)) * z. [para(837(a,1),31(a,1,1,2,2)),flip(a)].

1446 (x / (y * (z * (y * C)))) * (C * (y * (z * y))) = x. [para(10(a,1),838(a,1,1,2))].

1447 (x * y) * a(x,y / (z * C),C * z) = (x * (y / (z * C))) * (C * z). [para(838(a,1),15(a,1,1,2))].

1448 x * a(x / (y * C),C,y) = (C * (x / (y * C))) * y. [para(838(a,1),15(a,1,1)),rewrite([13(11,R)])].

1460 (x * C) / (C * C) = x / C. [para(8(a,1),914(a,1,1)),flip(a)].

1466 (x / (C * C)) / C = (x / C) / (C * C). [para(914(a,1),914(a,1,1))].

1541 (x * C) * x = C * (x * x). [para(935(a,1),33(a,1,2,1,2)),rewrite([50(10),49(8),1122(7),49(9)]),flip(a)].

1544 (x * (C * (C * C))) / C = C * (x * C). [para(936(a,1),29(a,1))].

1546 (x * (C * y)) / C = (x * (y * C)) / C. [para(51(a,1),936(a,1,1)),rewrite([936(9)]),flip(a)].

1547 (C * x) \ (C * C) = C / x. [para(24(a,1),1040(a,1,1,2))].

1599 C * (x * (C * (C * (C * y)))) = C * (x * (C * (y * (C * C)))). [para(52(a,1),51(a,2,2,2))].

1607 x * (C / (x / C)) = C * C. [para(6(a,1),1045(a,1,1)),rewrite([79(3)])].

1611 (x * C) * (C / x) = C * C. [para(13(a,1),1045(a,1,1))].

1654 C * ((x / C) * (y * (x / C))) = (x / C) * (y * x). [para(9(a,1),53(a,2,2,2))].

1719 C * (C * (C * (C * (C * x)))) = C * (C * (x * (C * (C * C)))). [para(249(a,2),53(a,1,2,2)),rewrite([25(9),13(18,R),25(20)])].

1803 (x / C) * x = x * (x / C). [para(6(a,1),1099(a,1,1)),rewrite([79(2),79(6),79(8),167(10)]),flip(a)].

1804 (C * x) \ (C * (x * x)) = x. [para(1099(a,1),7(a,1,2))].

1880 (x * x) / C = x * (x / C). [back_rewrite(1060),rewrite([1803(6)])].

1883 C * (x * (x / C)) = x * x. [back_rewrite(735),rewrite([1803(4)])].

1925 (C * (x * (y * x))) * a(x,y,C * x) = x * ((y * C) * x). [para(54(a,2),15(a,1,1)),rewrite([12(12)])].

1927 C * (x * (y * (y * x))) = x * (y * (y * (C * x))). [para(25(a,1),54(a,1,2,2)),rewrite([25(9)])].

1939 (x * (y * (C * x))) \ (C * (x * (y * x))) = 0. [para(54(a,1),305(a,1,1)),rewrite([13(8,R)])].

2024 (x * (x * C)) / x = C * x. [para(91(a,1),1110(a,1,1))].

2045 x / (C * (C * (C * y))) = x / (C * (y * (C * C))). [para(52(a,1),1296(a,2,2))].

2071 (C * (x \ 0)) * (x * x) = C * x. [para(1541(a,1),35(a,1,2,2)),rewrite([559(6),410(3),20(2)])].

2075 x \ (C * C) = C / (x / C). [para(6(a,1),1547(a,1,1)),rewrite([79(7)])].

2076 (C * x) \ (C / x) = C / (x * (C * x)). [para(1547(a,1),410(a,2,2)),rewrite([57(5),2075(9),325(8)]),flip(a)].

2078 C / (x * (C * y)) = C / (x * (y * C)). [para(51(a,1),1547(a,1,1)),rewrite([2075(9),48(8)]),flip(a)].

2149 C * ((x * C) * (C * (C / (C * (C * x))))) = C * C. [para(52(a,1),1611(a,1,1)),rewrite([646(13)])].

2159 (x * (x / C)) / C = (x / C) * (x / C). [para(1803(a,1),150(a,1,1)),rewrite([24(6)])].

2166 (C * x) \ (x * (x * C)) = x. [para(91(a,1),1804(a,1,2))].

2435 (x * (x * (x * C))) * y = x * ((C * x) * (x * y)). [para(2024(a,1),30(a,1,2,1)),flip(a)].

2497 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). [para(63(a,1),7(a,1,2))].

2505 (C * x) * (x \ y) = x * ((C / x) * y). [para(13(a,1),63(a,2,1)),rewrite([63(6),371(8)])].

2507 (x * C) * (y / C) = C * ((x / C) * y). [para(13(a,2),63(a,2,1)),rewrite([79(4),100(6),79(9),388(10)])].

2511 (x * (x * y)) * a(x * x,z,z \ y) = (x * (x * z)) * (z \ y). [para(25(a,1),63(a,1,1)),rewrite([25(8)])].

2525 (x * C) \ (y * ((C / y) * x)) = a(C,y,y \ x). [para(63(a,1),104(a,1,2)),rewrite([2505(6)])].

2537 (C * x) * ((C / (C * x)) * y) = C * (x * (C * ((C * x) \ y))). [para(249(a,1),63(a,2,1)),rewrite([63(10),2505(8),242(16)])].

2563 (C * (x * (y * C))) * ((x * (C * y)) \ z) = (x * (C * y)) * ((C / (x * (C * y))) * z). [para(51(a,1),63(a,2,1)),rewrite([63(12),2505(10

)]),flip(a)].

2597 (x * y) * a(x,C,y / C) = C * ((x / C) * y). [back_rewrite(100),rewrite([2507(11)])].

2638 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(6(a,1),64(a,1,2,1))].

2639 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \ z). [para(6(a,1),64(a,1,2))].

2640 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(9(a,1),64(a,1,1,2))].

2641 x \ (((x / (y * z)) * y) * z) = a(x / (y * z),y,z). [para(9(a,1),64(a,1,1))].

2642 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(9(a,1),64(a,1,2,1))].

2643 (x * (y * (z * (y * u)))) \ ((x * (y * (z * y))) * u) = a(x,y * (z * y),u). [para(10(a,1),64(a,1,1,2))].

2644 (x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u). [para(10(a,1),64(a,1,1)),rewrite([10(7)])].

2646 (x * (y * ((z * C) * y))) \ ((x * (y * z)) * (C * y)) = a(x,y * z,C * y). [para(12(a,1),64(a,1,1,2))].

2648 ((x * y) * ((C * x) * z)) \ (x * ((y * C) * (x * z))) = a(x * y,C * x,z). [para(12(a,1),64(a,1,2,1)),rewrite([10(10)])].

2651 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(13(a,1),64(a,1,2,1))].

2652 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(13(a,2),64(a,1,1,2)),rewrite([13(6,R)])].

2653 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(13(a,2),64(a,1,2,1))].

2654 (x * (y * C)) \ (C * (x * y)) = a(x,y,C). [para(13(a,2),64(a,1,2))].

2660 a(x,x,y) = 0. [para(25(a,1),64(a,1,2)),rewrite([20(5)]),flip(a)].

2661 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(49(a,1),64(a,1,1,2)),rewrite([2507(6)])].

2664 ((x * C) * (y * z)) \ (((C * x) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,1))].

2665 ((C * x) * (y * z)) \ (((x * C) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,2,1))].

2666 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(76(a,2),64(a,1,1,2))].

2667 a(C * x,y,z) = a(x * C,y,z). [para(76(a,2),64(a,1,1)),rewrite([2665(9)])].

2670 (C * (x * (x * y))) \ (x * (C * (x * y))) = a(C,x * x,y). [para(91(a,1),64(a,1,2,1)),rewrite([25(3),50(8)])].

2684 a(x,C * C,y) = a(x,C * y,C). [para(99(a,2),64(a,1,2,1)),rewrite([25(4),10(10),2652(11)]),flip(a)].

2685 (x * (y * (C * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(99(a,2),64(a,1,2)),rewrite([13(9,R)])].

2691 (C * (x * ((x * C) \ y))) \ y = a(C,x,(x * C) \ y). [para(102(a,1),64(a,1,2))].

2703 (x * (y * (C * C))) \ ((x * C) * (C * y)) = a(x,C,C * y). [para(249(a,1),64(a,1,1,2))].

2713 a(x,C * y,z) = a(x,y * C,z). [para(565(a,1),64(a,1,2,1)),rewrite([2666(9)]),flip(a)].

2721 C / ((x \ C) * x) = a(C,x \ C,x). [para(650(a,1),64(a,1,2)),rewrite([2075(9),48(8)])].

2736 x \ (C * ((x / (C * y)) * y)) = a(x / (C * y),y,C). [para(837(a,1),64(a,1,1)),rewrite([13(6,R)])].

2739 x \ ((C * (x / (y * C))) * y) = a(x / (y * C),C,y). [para(838(a,1),64(a,1,1)),rewrite([13(5,R)])].

2749 C / (x * (C / x)) = a(C,x,C / x). [para(1045(a,1),64(a,1,2)),rewrite([2075(9),48(8)])].

2778 a(C * x,C,x) = 0. [para(57(a,1),64(a,1,1)),rewrite([13(9,R),866(10),1939(11)]),flip(a)].

2903 a(x,C,x / C) = 0. [para(6(a,1),2778(a,1,1)),rewrite([79(3)])].

2912 a(x / C,C,x / (C * C)) = 0. [para(644(a,1),2778(a,1,1))].

2944 (x * C) \ ((C * (x / y)) * y) = a(C,x / y,y). [para(66(a,1),104(a,1,2))].

3037 ((0 / (x * y)) * x) * y = a(0 / (x * y),x,y). [para(67(a,1),4(a,1))].

3044 (C * (x / (C * y))) * y = (C * (x / (y * C))) * y. [para(13(a,1),67(a,1,2,1,2)),rewrite([1448(6),13(11,R)]),flip(a)].

3045 C * ((x / (C * y)) * y) = C * ((x / (y * C)) * y). [para(13(a,2),67(a,1,2,1,2)),rewrite([1425(6),13(12,R)])].

3323 x * (y * a(y,x,y)) = (x / y) * (y * y). [para(69(a,1),7(a,1,2)),rewrite([372(3)]),flip(a)].

3682 (x * (y * (C * (x * x)))) * z = (x * (y * (x * (x * C)))) * z. [para(91(a,2),71(a,2,1,2,2)),rewrite([71(12)]),flip(a)].

3694 (x * (y * (C * (x * x)))) * z = x * ((C * (y * x)) * (x * z)). [para(93(a,2),71(a,2,1,2,2)),rewrite([71(12),867(6)]),flip(a)].

3699 (C * (x * (C * (y * C)))) * z = (C * (x * (y * (C * C)))) * z. [para(99(a,1),71(a,2,1,2,2)),rewrite([71(16)])].

3846 (x * (y * (x * (x * C)))) * z = x * ((C * (y * x)) * (x * z)). [back_rewrite(3682),rewrite([3694(6)]),flip(a)].

4257 (x / C) * (x / C) = x * (x / (C * C)). [para(2912(a,1),15(a,1,2)),rewrite([644(8),5(7),13(9,R),49(9)])].

4267 (x * (x / C)) / C = x * (x / (C * C)). [back_rewrite(2159),rewrite([4257(10)])].

4279 (x * x) / (C * C) = x * (x / (C * C)). [back_rewrite(940),rewrite([4257(10)])].

4280 (x / (C * C)) * x = x * (x / (C * C)). [back_rewrite(933),rewrite([4257(10)])].

4980 (x * (x / (C * C))) * y = (x / C) * ((x / C) * y). [para(644(a,1),86(a,1,1,2,2)),rewrite([49(8),4280(5),1133(20)])].

5186 ((0 / x) / x) * (C * (0 / x)) = (0 / x) * (C * ((0 / x) / x)). [para(444(a,1),12(a,1,1)),rewrite([13(14,R),1099(17),444(16)])].

5194 (0 / x) \ (C * ((0 / x) / x)) = C * (0 / x). [para(444(a,1),165(a,1,2,2)),rewrite([13(12,R)])].

5200 (C * ((0 / x) / x)) * (0 / x) = (0 / x) * (C * ((0 / x) / x)). [para(444(a,1),50(a,2,2,2)),rewrite([13(6,R),93(7,R),444(6)])].

5201 (0 / x) * (C * ((0 / x) / x)) = C * ((0 / x) * ((0 / x) / x)). [para(444(a,1),53(a,1,2,2)),rewrite([13(16,R),93(17,R),444(16)]),flip(a)

].

5203 ((0 / x) / x) / (C * (0 / x)) = (0 / x) / C. [para(444(a,1),1097(a,1,1))].

5204 (C * ((0 / x) / x)) / (0 / x) = C * (0 / x). [para(444(a,1),1110(a,1,1,2))].

5213 (0 / x) * ((0 / x) / C) = ((0 / x) / x) / C. [para(444(a,1),1880(a,1,1)),flip(a)].

5217 (x * ((0 / y) / y)) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [para(444(a,1),64(a,1,1,2))].

5223 (x * (y * (x * ((0 / z) / z)))) * a(x * (y * x),0 / z,0 / z) = (x * (y * (x * (0 / z)))) * (0 / z). [para(444(a,1),71(a,1,1,2,2,2))].

5230 (C * ((0 / x) / x)) * (0 / x) = C * ((0 / x) * ((0 / x) / x)). [back_rewrite(5200),rewrite([5201(16)])].

5232 ((0 / x) / x) * (C * (0 / x)) = C * ((0 / x) * ((0 / x) / x)). [back_rewrite(5186),rewrite([5201(16)])].

5408 (C * (C * (x * y))) \ (C * (x * (C * y))) = a(C * C,x,y). [para(95(a,1),104(a,1,2)),rewrite([13(5,R),52(10)])].

5739 (x * (C * (C * C))) * y = C * ((C * x) * (C * y)). [para(33(a,1),106(a,1,1)),rewrite([410(15),79(14),79(15),914(15),644(16),25(16),25(1

8),30(17)])].

6322 (C * (x \ 0)) \ (C * x) = x * x. [para(2071(a,1),7(a,1,2))].

6333 ((C * (x \ 0)) * (C * x)) / (x * x) = (x \ 0) * (C * (C * (x \ 0))). [para(2071(a,1),85(a,1,1,2)),rewrite([57(18)])].

6635 (C * (x * ((y * C) * x))) * z = (x * ((C * y) * (x * C))) * z. [para(76(a,1),110(a,1,1,2,2))].

6688 (C * (C * (x * (y * x)))) \ z = (C * (x * (y * (x * C)))) \ z. [para(110(a,1),291(a,2,1)),rewrite([13(13,R)])].

7678 ((x * C) * y) / C = (x / C) * (C * y). [para(115(a,1),1460(a,1,1)),rewrite([13(5,R),936(9),386(10)])].

7984 (C * x) \ (C * (0 / x)) = (0 / x) / x. [para(24(a,1),6322(a,1,1,2)),rewrite([444(12)])].

8305 a(C,x \ C,x) * ((x \ C) * x) = C. [para(2721(a,1),9(a,1,1))].

8316 a(C,x,C / x) * (x * (C / x)) = C. [para(2749(a,1),9(a,1,1))].

8318 a(C,x,C / x) \ C = x * (C / x). [para(2749(a,1),24(a,1,1))].

8356 (x / C) * (C * ((C * x) * y)) = x * (x * (C * y)). [para(30(a,1),120(a,2,2,2)),rewrite([49(4),49(4)]),flip(a)].

8378 (C * x) * (x * x) = x * (C * (x * x)). [para(1883(a,1),120(a,2,2,2)),rewrite([388(7),1803(6),1883(7)])].

8921 x * ((x * (y * x)) \ z) = y \ (x \ z). [para(125(a,1),7(a,1,2)),flip(a)].

9686 (0 / C) * (C * (C * C)) = C * C. [para(161(a,1),1804(a,1,2,2)),rewrite([559(15),8921(9),20(4),79(3)])].

9726 (0 / (C * C)) * (C * (C * C)) = C. [para(9686(a,1),25(a,2,2)),rewrite([4257(7),4(7),99(18,R),13(17,R),49(17),5(14)])].

9766 ((0 / (C * C)) * (x * C)) / (C * (C * C)) = (0 / (C * C)) * (x * (0 / (C * C))). [para(9726(a,1),29(a,1,1,2,2))].

9767 (0 / (C * C)) * (C * (x / (0 / (C * C)))) = ((0 / (C * C)) * x) * (C * (C * C)). [para(9726(a,1),30(a,1,2,2)),rewrite([13(13,R)])].

9785 x * a(x,C,0 / C) = x. [para(9726(a,1),73(a,1,2,2)),rewrite([13(12,R),2435(18),644(16),25(13),49(12),5(9),99(9,R),13(8,R),644(8),49(5),5

(2),644(8),9726(17),644(15),2507(12),5(11),49(10)])].

9808 (x \ (x / C)) * (C * (x * C)) = x * C. [para(164(a,1),2166(a,1,2)),rewrite([559(12),8921(7),79(2)])].

9845 a(x,C,0 / C) = 0. [para(9785(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

9847 x * (C * (x * (0 / C))) = x * x. [para(9845(a,1),95(a,1,2)),rewrite([49(5),5(2),5(3),50(8)]),flip(a)].

9932 (x * (C * (y * y))) / C = (x * (y * (y * C))) / C. [para(169(a,1),936(a,1,1)),rewrite([936(10)]),flip(a)].

10168 C * (x * (0 / C)) = x. [para(9847(a,1),7(a,1,2)),rewrite([7(2)]),flip(a)].

10182 x \ ((C / x) * (x * (x * (0 / C)))) = a(x,C,x * (0 / C)). [para(9847(a,1),64(a,1,1)),rewrite([410(9),372(8)])].

10200 x * (0 / C) = x / C. [para(10168(a,1),7(a,1,2)),rewrite([79(2)]),flip(a)].

10202 C * (x * (y * (x / C))) = x * (y * x). [para(10(a,1),10168(a,1,2)),rewrite([10200(5)])].

10212 (x * C) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(106(a,1),10168(a,1,2)),rewrite([10200(9),48(7)]),flip(a)].

10213 (C * x) * (y * (x * C)) = C * ((x * C) * (y * x)). [para(108(a,1),10168(a,1,2)),rewrite([10200(9),8(7)]),flip(a)].

10215 x \ ((C / x) * (x * (x / C))) = 0. [back_rewrite(10182),rewrite([10200(6),10200(12),2903(11)])].

10504 (C * ((x * C) * (y * x))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(108),rewrite([10213(6)])].

11271 x \ (x / C) = 0 / C. [para(10200(a,1),7(a,1,2))].

11272 (0 / C) * (x * ((0 / C) * y)) = ((0 / C) * (x / C)) * y. [para(10200(a,1),10(a,1,1,2)),flip(a)].

11273 (x * (y * x)) / C = x * (y * (x / C)). [para(10200(a,1),10(a,1)),rewrite([10200(8)])].

11276 (C * x) \ x = 0 / C. [para(10200(a,1),103(a,1,2)),rewrite([8(6)])].

11301 (x * (y * (y * x))) / C = x * (y * (y * (x / C))). [para(10200(a,1),86(a,1)),rewrite([10200(9)])].

11312 (0 / C) * (C * (x * C)) = x * C. [back_rewrite(9808),rewrite([11271(3)])].

11408 (x / C) \ (x / (C * C)) = 0 / C. [para(914(a,1),11271(a,1,2))].

11658 (C / x) * (x * (x / C)) = x. [para(10215(a,1),6(a,1,2)),rewrite([5(2)]),flip(a)].

11683 (C / x) \ x = x * (x / C). [para(11658(a,1),7(a,1,2))].

11695 (x * x) / (x / C) = x * C. [para(11658(a,1),29(a,1,1,2)),rewrite([9(7)])].

11850 a(C,x,x * x) = 0. [para(174(a,1),64(a,1,1)),rewrite([8378(8),20(9)]),flip(a)].

12099 a(C,0 / x,(0 / x) / x) = 0. [para(444(a,1),11850(a,1,3))].

12239 (x \ C) * ((x \ C) / C) = x \ (x \ C). [para(23(a,1),11683(a,1,1)),flip(a)].

12358 (x * C) \ (x * x) = x / C. [para(11695(a,1),24(a,1,1))].

12380 (C * x) \ (x * x) = x / C. [para(13(a,2),12358(a,1,1))].

12750 (C * (0 / x)) * ((0 / x) / x) = C * ((0 / x) * ((0 / x) / x)). [para(12099(a,1),15(a,1,2)),rewrite([5(10)]),flip(a)].

12885 (0 / C) * (C * x) = x. [para(9(a,1),11312(a,1,2,2)),rewrite([13(10,R),49(10)])].

13021 (0 / C) * x = x / C. [para(6(a,1),12885(a,1,2)),rewrite([79(6)])].

13023 x / (C * x) = 0 / C. [para(12885(a,1),8(a,1,1))].

13024 (x / (C * C)) * (C * y) = (x * y) / C. [para(12885(a,1),10(a,2,2,2)),rewrite([10200(7),13021(6),914(4),13021(12)])].

13031 (x * (x / C)) * y = x * ((x * y) / C). [para(12885(a,1),31(a,1,1,2)),rewrite([13021(4),13021(13),49(12),13021(9)])].

13038 a(0 / C,C * x,y) = a(x / C,C,y). [para(12885(a,1),64(a,1,2,1)),rewrite([13021(7),386(5),2642(7)]),flip(a)].

13050 x * a(0 / C,x,C) = x. [para(12885(a,1),77(a,1,1)),rewrite([13021(11),49(10)])].

13053 (x / C) * ((x / C) * (C * y)) = (x * (x * y)) / C. [para(12885(a,1),86(a,2,2,2,2)),rewrite([10200(7),13021(7),4267(5),4980(8),13021(14

)])].

13083 (x * (y / C)) / C = (x / (C * C)) * y. [back_rewrite(11272),rewrite([13021(7),13021(7),13021(11),914(9)])].

13091 ((0 / (C * C)) * x) * (C * (C * C)) = (x / (0 / (C * C))) / C. [back_rewrite(9767),rewrite([13024(14),4(8)]),flip(a)].

13226 (0 / (C * C)) * x = x / (C * C). [para(13021(a,1),25(a,1,1)),rewrite([914(5),13021(13),13021(12),914(10)])].

13233 ((x * y) / C) \ ((x / C) * y) = a(0 / C,x,y). [para(13021(a,1),64(a,1,1)),rewrite([13021(7)])].

13248 (x / C) * ((x / C) * y) = x * ((x * y) / (C * C)). [para(13021(a,1),86(a,1,1,2,2)),rewrite([13021(6),914(4),4980(6),13021(14),13021(13

),914(11)])].

13259 (x / (0 / (C * C))) / C = x * C. [back_rewrite(13091),rewrite([13226(6),13024(10),236(6)]),flip(a)].

13266 (x * (0 / (C * C))) / (C * C) = (x / C) / (C * (C * C)). [back_rewrite(9766),rewrite([13226(8),1460(6),13226(20)]),flip(a)].

13277 x * ((x * (C * y)) / (C * C)) = (x * (x * y)) / C. [back_rewrite(13053),rewrite([13248(8)])].

13283 (x * (x / (C * C))) * y = x * ((x * y) / (C * C)). [back_rewrite(4980),rewrite([13248(12)])].

13479 (x * C) / (x * (C * C)) = 0 / C. [para(99(a,1),13023(a,1,2))].

13484 (x / (C * C)) / (x / C) = 0 / C. [para(644(a,1),13023(a,1,2))].

13536 a(0 / C,x,C) = 0. [para(13050(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

13537 (C * x) * (y * (C * x)) = C * ((x * C) * (y * x)). [para(13050(a,1),107(a,1,2,2)),rewrite([13536(17),5(12),10213(12)])].

13538 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [para(13050(a,1),109(a,1,2,2)),rewrite([10212(6),13536(17),5(12)]),flip(a)].

14247 (x * (y / (C * C))) / (C * C) = ((x / C) / (C * (C * C))) * y. [para(13226(a,1),10(a,1,1)),rewrite([13266(10),13226(20),13226(20)]),fl

ip(a)].

14248 (x / C) / (C * C) = x / (C * (C * C)). [para(13226(a,1),12(a,2)),rewrite([13226(6),644(11),10200(8),1466(6),14247(18),8(10),5(14)])].

14280 ((x * y) / (C * C)) \ ((x / (C * C)) * y) = a(0 / (C * C),x,y). [para(13226(a,1),64(a,1,1)),rewrite([13226(11)])].

14402 (x / (C * C)) / C = x / (C * (C * C)). [back_rewrite(1466),rewrite([14248(12)])].

14563 C * (x * (0 / (C * C))) = x / C. [para(8(a,1),13259(a,1,1)),rewrite([13(10,R)]),flip(a)].

14564 x / (0 / (C * C)) = C * (x * C). [para(13259(a,1),9(a,1,1)),rewrite([13(4,R)]),flip(a)].

14703 C * ((x / (C * C)) * y) = x * (y / C). [para(11276(a,1),197(a,1,1,1,1)),rewrite([13021(4),11276(6),11276(11),13021(12),13038(11),2597(

10),914(5),11276(10),13021(13),48(11),11276(10),13021(11)])].

14978 x * (0 / (C * C)) = x / (C * C). [para(14563(a,1),7(a,1,2)),rewrite([79(4),914(4)]),flip(a)].

14980 C * (x * (y * (x / (C * C)))) = x * (y * (x / C)). [para(10(a,1),14563(a,1,2)),rewrite([14978(7),11273(12)])].

15143 (C * (x * C)) \ x = 0 / (C * C). [para(14564(a,1),24(a,1,1))].

16000 C / (a(C,x,C / x) \ (x * (C / x))) = a(C,x,C / x) * a(C,x,C / x). [para(8316(a,1),150(a,1,1))].

16476 (x * (C * (y * C))) / C = (x * (y * (C * C))) / C. [para(243(a,1),936(a,1,1)),rewrite([936(11)]),flip(a)].

16862 (C * (x * (C * x))) \ y = (x * (x * (C * C))) \ y. [para(244(a,1),291(a,1,1)),rewrite([13(11,R)]),flip(a)].

17319 (x \ 0) * (C * (x * C)) = C * C. [para(245(a,2),648(a,1,2)),rewrite([1544(8),559(13),8921(8),20(3)])].

17366 (C * (C * (x * (y * x)))) \ ((x * y) * (x * (C * C))) = a(x,y,x * (C * C)). [para(245(a,2),64(a,1,1))].

17624 C / ((x \ 0) / C) = C * (x * C). [para(17319(a,1),7(a,1,2)),rewrite([2075(6)])].

17625 ((x / C) \ 0) * (C * x) = C * C. [para(9(a,1),17319(a,1,2,2))].

17628 (x \ 0) * (C * ((x * C) * (C * (x \ 0)))) = C * (C * (C * (x \ 0))). [para(17319(a,1),12(a,1,1)),rewrite([25(8),13(16,R),52(19)]),flip

(a)].

17637 (x \ 0) * (x * (C * C)) = C * C. [para(17319(a,1),27(a,1,2,2)),rewrite([5(11),17319(14)])].

17686 C * (C * (0 / x)) = C / (x / C). [para(24(a,1),17624(a,1,2,1)),rewrite([13(9,R)]),flip(a)].

17699 C * ((C * x) \ C) = (x / C) \ 0. [para(17625(a,1),8(a,1,1)),rewrite([1041(6)])].

17701 ((x / C) \ 0) * (C * (x * (C * ((x / C) \ 0)))) = C * (C * (C * ((x / C) \ 0))). [para(17625(a,1),12(a,1,1)),rewrite([25(10),13(18,R),

52(23)]),flip(a)].

17702 ((x / C) \ 0) * (x * C) = C * C. [para(13(a,1),17625(a,1,2))].

17709 C * (C * ((x / C) \ 0)) = (C * (C * C)) / x. [para(17625(a,1),29(a,1,1,2)),rewrite([13(13,R)]),flip(a)].

17713 ((C * (C * C)) / x) / C = C * ((x / C) \ 0). [para(17625(a,1),35(a,1,1)),rewrite([13(11,R),52(16),17701(17),17709(12),410(12),7(11),79

(8)])].

17716 C * ((x * C) \ C) = (x / C) \ 0. [para(17625(a,1),836(a,1,1)),rewrite([1041(6)])].

17726 (((x / C) \ 0) * ((C * x) * y)) \ (C * (C * y)) = a((x / C) \ 0,C * x,y). [para(17625(a,1),64(a,1,2,1)),rewrite([25(12)])].

18037 x * ((x \ 0) * x) = x. [para(17637(a,1),29(a,1,1,2)),rewrite([8(8)]),flip(a)].

18038 C * (((x \ 0) \ (x * (C * C))) \ C) = (x \ 0) * (x \ 0). [para(17637(a,1),150(a,1,1)),rewrite([1041(11)])].

18068 (x \ 0) * x = 0. [para(18037(a,1),7(a,1,2)),rewrite([20(1)]),flip(a)].

18073 x \ 0 = 0 / x. [para(18037(a,1),29(a,1,1,2)),rewrite([18068(3),6(7),5(6)]),flip(a)].

18111 C * (((0 / x) \ (x * (C * C))) \ C) = (0 / x) / x. [back_rewrite(18038),rewrite([18073(3),18073(13),18073(15),444(16)])].

18208 ((0 / (x / C)) * ((C * x) * y)) \ (C * (C * y)) = a(0 / (x / C),C * x,y). [back_rewrite(17726),rewrite([18073(4),18073(17)])].

18218 C * ((x * C) \ C) = 0 / (x / C). [back_rewrite(17716),rewrite([18073(10)])].

18221 ((C * (C * C)) / x) / C = C * (0 / (x / C)). [back_rewrite(17713),rewrite([18073(13)])].

18225 (C * (C * C)) / x = C / (x / (C * C)). [back_rewrite(17709),rewrite([18073(6),17686(8),914(5)]),flip(a)].

18231 (0 / (x / C)) * (x * C) = C * C. [back_rewrite(17702),rewrite([18073(4)])].

18233 C * ((C * x) \ C) = 0 / (x / C). [back_rewrite(17699),rewrite([18073(10)])].

18289 (0 / x) * (x * (C * C)) = C * C. [back_rewrite(17637),rewrite([18073(2)])].

18297 (0 / x) * (C * ((x * C) * (C * (0 / x)))) = C * (C / (x / C)). [back_rewrite(17628),rewrite([18073(2),18073(8),18073(17),17686(19)])].

18446 ((C * (0 / x)) * (C * x)) / (x * x) = (0 / x) * (C / (x / C)). [back_rewrite(6333),rewrite([18073(3),18073(11),18073(15),17686(17)])].

18456 (C * (0 / x)) \ (C * x) = x * x. [back_rewrite(6322),rewrite([18073(3)])].

18479 (C / (x / (C * C))) / C = C * (0 / (x / C)). [back_rewrite(18221),rewrite([18225(6)])].

18489 x * (0 / x) = 0. [para(18073(a,1),6(a,1,2))].

18492 (x * C) * (0 / (C * x)) = 0. [para(18073(a,1),101(a,1,2))].

18493 (C * x) * (0 / (x * C)) = 0. [para(18073(a,1),102(a,1,2))].

18494 x * ((C * (0 / x)) * x) = C * x. [para(18073(a,1),33(a,1,2,1,2)),rewrite([4(10)])].

18495 x \ (0 / x) = 0 / (x * x). [para(18073(a,1),410(a,1)),rewrite([18073(5)]),flip(a)].

18521 (x * y) / (0 / x) = x * (y * x). [para(18489(a,1),29(a,1,1,2,2)),rewrite([5(2)])].

18522 (x * y) * (0 / x) = x * (y / x). [para(18489(a,1),30(a,1,2,2)),rewrite([5(3)]),flip(a)].

18531 (x * ((0 / x) * y)) \ y = a(x,0 / x,y). [para(18489(a,1),64(a,1,2,1)),rewrite([4(6)])].

18543 (0 / x) * (x * (x * ((0 / x) * y))) = y. [para(18489(a,1),86(a,1,1,2,2)),rewrite([5(4),9(3),4(2)]),flip(a)].

18633 (0 / x) * (C / (x / C)) = C * (C * ((0 / x) / x)). [para(444(a,1),251(a,2,2,2)),rewrite([13(7,R),17686(8),2660(15),5(9)])].

18659 ((C * (0 / x)) * (C * x)) / (x * x) = C * (C * ((0 / x) / x)). [back_rewrite(18446),rewrite([18633(16)])].

18666 ((x * C) * y) / (0 / (C * x)) = C * ((C * x) * (y * x)). [para(18492(a,1),29(a,1,1,2,2)),rewrite([5(4),13538(14)])].

18716 ((C * x) * y) / (0 / (x * C)) = C * ((x * C) * (y * x)). [para(18493(a,1),29(a,1,1,2,2)),rewrite([5(4),13537(14)])].

18747 x * (0 / (x * x)) = 0 / x. [para(18495(a,1),6(a,1,2))].

18786 (x * ((0 / (x * x)) * y)) \ ((0 / x) * y) = a(x,0 / (x * x),y). [para(18747(a,1),64(a,1,2,1))].

18843 (C * (C * (x * x))) \ y = (x * (x * (C * C))) \ y. [para(254(a,1),291(a,1,1)),rewrite([13(11,R)]),flip(a)].

18994 C * ((0 / x) * (C * y)) = (C / (x / C)) * y. [para(17686(a,1),30(a,2,1)),rewrite([48(7)])].

18998 (C / (x / C)) / ((C * (0 / x)) \ C) = C * (C * ((0 / x) / x)). [para(17686(a,1),429(a,1,1)),rewrite([57(20),17686(19),18633(18)])].

19043 (C / (x / C)) \ (C * (C * ((0 / x) / x))) = 0 / x. [para(17686(a,1),12380(a,1,1)),rewrite([57(13),17686(12),18633(11),48(18)])].

19083 (0 / (x / C)) / C = (x * C) \ C. [para(18218(a,1),7(a,1,2)),rewrite([79(6)])].

19085 0 / (x / (C * C)) = C * (x \ C). [para(9(a,1),18218(a,1,2,1)),rewrite([914(9)]),flip(a)].

19090 ((x * C) \ C) \ (0 / (x / C)) = C. [para(18218(a,1),46(a,1,2))].

19093 C * (((x * C) \ C) * ((x * C) \ C)) = ((x * C) \ C) * (0 / (x / C)). [para(18218(a,1),93(a,2,2))].

19103 (((x * C) \ C) / C) * (0 / (x / C)) = ((x * C) \ C) * ((x * C) \ C). [para(18218(a,1),752(a,1,2))].

19104 (0 / (x / C)) / (C * C) = ((x * C) \ C) / C. [para(18218(a,1),936(a,1,1))].

19108 ((x * C) \ C) * (0 / (x / C)) = (0 / (x / C)) * ((x * C) \ C). [para(18218(a,1),1099(a,1,1)),rewrite([19093(20)]),flip(a)].

19147 (0 / (x / C)) \ ((x * C) \ C) = 0 / C. [para(18218(a,1),11276(a,1,1))].

19150 ((x * C) \ C) / (0 / (x / C)) = 0 / C. [para(18218(a,1),13023(a,1,2))].

19170 C * (((x * C) \ C) * ((x * C) \ C)) = (0 / (x / C)) * ((x * C) \ C). [back_rewrite(19093),rewrite([19108(20)])].

19294 (0 / (x / C)) / (((C * x) \ C) \ C) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),429(a,1,1))].

19297 (((C * x) \ C) / C) * (0 / (x / C)) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),752(a,1,2))].

19301 (((C * x) \ C) * ((C * x) \ C)) / (0 / (x / C)) = ((C * x) \ C) / C. [para(18233(a,1),1097(a,1,2))].

19361 C * ((x * (x * (C * C))) \ C) = 0 / (x * x). [para(244(a,1),18233(a,1,2,1)),rewrite([11273(15),49(14)])].

19477 (C * (0 / ((x * C) \ C))) \ (0 / (x / C)) = ((x * C) \ C) * ((x * C) \ C). [para(18218(a,1),18456(a,1,2))].

19478 (C * (0 / ((C * x) \ C))) \ (0 / (x / C)) = ((C * x) \ C) * ((C * x) \ C). [para(18233(a,1),18456(a,1,2))].

19565 (C * (0 / x)) * x = C. [para(18494(a,1),7(a,1,2)),rewrite([46(3)]),flip(a)].

19566 x * ((C * (0 / x)) * (x * y)) = (C * x) * y. [para(18494(a,1),10(a,1,1)),flip(a)].

19567 (C * (0 / x)) * (C * x) = (C / (x / C)) * x. [para(18494(a,1),10(a,2,2)),rewrite([13537(10),13(5,R),18489(8),5(7),17686(6)]),flip(a)].

19570 x * ((C * (0 / x)) * ((C * x) * y)) = x * ((C / (x / C)) * (x * y)). [para(18494(a,1),31(a,1,1,2,2)),rewrite([19567(7),10(7),19566(18)

]),flip(a)].

19587 (C * (0 / x)) * (x * C) = (C / (x / C)) * x. [para(18494(a,1),107(a,1,2)),rewrite([19567(7),13(13,R),19565(14)]),flip(a)].

19600 ((C / (x / C)) * x) / (x * x) = C * (C * ((0 / x) / x)). [back_rewrite(18659),rewrite([19567(7)])].

19610 C * (0 / x) = C / x. [para(19565(a,1),8(a,1,1)),flip(a)].

19611 (C * x) * (0 / x) = C. [para(23(a,1),19565(a,1,1,2)),rewrite([18073(4)])].

19612 (C / x) * (C * (y / (C / x))) = ((C / x) * y) * x. [para(19565(a,1),30(a,1,2,2)),rewrite([19610(4),19610(6),13(7,R),19610(12)])].

19619 C * (C * ((0 / x) / x)) = (C / (x / C)) / x. [back_rewrite(18998),rewrite([19610(8),24(8)]),flip(a)].

19622 (C / (x / C)) * x = (C / x) * (x * C). [back_rewrite(19587),rewrite([19610(4)]),flip(a)].

19633 x * ((C / (x / C)) * (x * y)) = x * ((C / x) * ((C * x) * y)). [back_rewrite(19570),rewrite([19610(4)]),flip(a)].

19638 ((C * x) \ C) * ((C * x) \ C) = (C * x) \ (0 / (x / C)). [back_rewrite(19478),rewrite([19610(8),23(6)]),flip(a)].

19639 ((x * C) \ C) * ((x * C) \ C) = (x * C) \ (0 / (x / C)). [back_rewrite(19477),rewrite([19610(8),23(6)]),flip(a)].

19770 (C / (x / (C * C))) / C = C / (x / C). [back_rewrite(18479),rewrite([19610(14)])].

19880 (0 / x) * (C * (C * C)) = C * (C / (x / C)). [back_rewrite(18297),rewrite([19610(9),1611(8)])].

19891 C / (x / C) = C * (C / x). [back_rewrite(17686),rewrite([19610(5)]),flip(a)].

19893 C * ((0 / x) * ((0 / x) / x)) = (C / x) * ((0 / x) / x). [back_rewrite(12750),rewrite([19610(4)]),flip(a)].

19899 C / (x * (C * x)) = (0 / x) / x. [back_rewrite(7984),rewrite([19610(6),2076(5)])].

19900 ((0 / x) / x) * (C / x) = (C / x) * ((0 / x) / x). [back_rewrite(5232),rewrite([19610(7),19893(14)])].

19904 (C * ((0 / x) / x)) / (0 / x) = C / x. [back_rewrite(5204),rewrite([19610(12)])].

19905 ((0 / x) / x) / (C / x) = (0 / x) / C. [back_rewrite(5203),rewrite([19610(7)])].

19909 (0 / x) \ (C * ((0 / x) / x)) = C / x. [back_rewrite(5194),rewrite([19610(12)])].

19910 ((C * (C / x)) * x) / (x * x) = (C / x) * (C / x). [back_rewrite(19600),rewrite([19891(4),19619(14),19891(11),770(12)])].

19913 (C / x) / C = 0 / x. [back_rewrite(19043),rewrite([19891(4),19619(11),19891(8),770(9),12380(10)])].

19935 ((C * x) \ (0 / (x / C))) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(19301),rewrite([19638(9)])].

19936 (((C * x) \ C) / C) * (0 / (x / C)) = (C * x) \ (0 / (x / C)). [back_rewrite(19297),rewrite([19638(20)])].

19937 (0 / (x / C)) / (((C * x) \ C) \ C) = (C * x) \ (0 / (x / C)). [back_rewrite(19294),rewrite([19638(20)])].

19938 (0 / (x / C)) * ((x * C) \ C) = C * ((x * C) \ (0 / (x / C))). [back_rewrite(19170),rewrite([19639(10)]),flip(a)].

19943 (((x * C) \ C) / C) * (0 / (x / C)) = (x * C) \ (0 / (x / C)). [back_rewrite(19103),rewrite([19639(20)])].

19963 (0 / x) * (C * (C * C)) = C * (C * (C / x)). [back_rewrite(19880),rewrite([19891(13)])].

19967 C * (x \ C) = C * (C / x). [back_rewrite(19770),rewrite([19913(8),19085(6),19891(8)])].

19997 x * ((C * (C / x)) * (x * y)) = x * ((C / x) * ((C * x) * y)). [back_rewrite(19633),rewrite([19891(4)])].

20001 (C * (C / x)) * x = (C / x) * (x * C). [back_rewrite(19622),rewrite([19891(4)])].

20025 C * ((0 / x) * (C * y)) = (C * (C / x)) * y. [back_rewrite(18994),rewrite([19891(11)])].

20075 x \ (C * C) = C * (C / x). [back_rewrite(2075),rewrite([19891(8)])].

20076 x * (C * (C / x)) = C * C. [back_rewrite(1607),rewrite([19891(4)])].

20079 (C * ((0 / x) / x)) * (0 / x) = (C / x) * ((0 / x) / x). [back_rewrite(5230),rewrite([19893(16)])].

20087 (C * x) \ (C / x) = (0 / x) / x. [back_rewrite(2076),rewrite([19899(10)])].

20116 C * (C / (x * (x * (C * C)))) = 0 / (x * x). [back_rewrite(19361),rewrite([19967(9)])].

20136 C * (C / (C * x)) = 0 / (x / C). [back_rewrite(18233),rewrite([19967(6)])].

20140 C * (C / ((0 / x) \ (x * (C * C)))) = (0 / x) / x. [back_rewrite(18111),rewrite([19967(11)])].

20196 (C * C) / x = C * (C / x). [back_rewrite(1041),rewrite([19967(8)])].

20197 (C / x) * (x * C) = C * C. [back_rewrite(650),rewrite([19967(4),20001(5)])].

20211 (C / x) * (C / x) = C * (C / (x * x)). [back_rewrite(19910),rewrite([20001(5),20197(5),20196(5)]),flip(a)].

20230 C * (x * (C / x)) = C * C. [back_rewrite(2149),rewrite([20136(11),48(8),18522(6)])].

20269 (C * (C / x)) / x = C * (C / (x * x)). [back_rewrite(770),rewrite([20211(10)])].

20301 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(6(a,1),260(a,1,2,2))].

20305 (x * (y * (x * (z * (x * (y * x)))))) \ (x * (y * (x * (z * u)))) = (x * (y * x)) \ u. [para(10(a,1),260(a,1,1)),rewrite([10(10)])].

20362 x \ (0 / (y / C)) = x \ (C / y). [para(1045(a,1),260(a,1,2,2)),rewrite([20301(9),20075(6),20136(6)])].

20445 (a(C,x \ C,x) * ((x \ C) * a(C,x \ C,x))) \ C = a(C,x \ C,x) \ x. [para(8305(a,1),260(a,1,2))].

20447 (a(C,x,C / x) * (x * a(C,x,C / x))) \ C = a(C,x,C / x) \ (C / x). [para(8316(a,1),260(a,1,2))].

20460 (0 / x) \ y = x * y. [para(18489(a,1),260(a,1,1,2)),rewrite([5(4),7(7)]),flip(a)].

20470 (C * (C * (x * (C * C)))) \ (C * (x * (C * ((0 / x) * y)))) = (x * (C * C)) \ y. [para(18289(a,1),260(a,1,1,2)),rewrite([99(8,R),13(7,

R),242(16)])].

20478 x \ (C * (C * y)) = x \ (y * (C * C)). [para(259(a,1),260(a,1,2,2)),rewrite([20301(13),356(10)])].

20495 (((x * C) \ C) / C) * (0 / (x / C)) = (x * C) \ (C / x). [back_rewrite(19943),rewrite([20362(18)])].

20500 (0 / (x / C)) * ((x * C) \ C) = C * ((x * C) \ (C / x)). [back_rewrite(19938),rewrite([20362(17)])].

20501 (0 / (x / C)) / (((C * x) \ C) \ C) = (0 / x) / x. [back_rewrite(19937),rewrite([20362(18),20087(16)])].

20502 (((C * x) \ C) / C) * (0 / (x / C)) = (0 / x) / x. [back_rewrite(19936),rewrite([20362(18),20087(16)])].

20503 ((0 / x) / x) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(19935),rewrite([20362(7),20087(5)])].

20513 ((x * C) \ C) \ (C / x) = C. [back_rewrite(19090),rewrite([20362(9)])].

20516 (0 / x) / x = 0 / (x * x). [back_rewrite(20140),rewrite([20460(9),20116(9)]),flip(a)].

20518 x * (C / (x * x)) = C / x. [back_rewrite(19909),rewrite([20516(6),19610(7),20460(6)])].

20522 (x / C) * ((x * C) \ C) = 0 / C. [back_rewrite(19147),rewrite([20460(9)])].

20562 (0 / (x * x)) / (0 / (x / C)) = ((C * x) \ C) / C. [back_rewrite(20503),rewrite([20516(3)])].

20563 (((C * x) \ C) / C) * (0 / (x / C)) = 0 / (x * x). [back_rewrite(20502),rewrite([20516(14)])].

20564 (0 / (x / C)) / (((C * x) \ C) \ C) = 0 / (x * x). [back_rewrite(20501),rewrite([20516(14)])].

20579 (C * x) \ (C / x) = 0 / (x * x). [back_rewrite(20087),rewrite([20516(8)])].

20585 (C / (x * x)) * (0 / x) = (C / x) * (0 / (x * x)). [back_rewrite(20079),rewrite([20516(4),19610(5),20516(11)])].

20607 (0 / (x * x)) / (C / x) = (0 / x) / C. [back_rewrite(19905),rewrite([20516(3)])].

20608 (C / (x * x)) / (0 / x) = C / x. [back_rewrite(19904),rewrite([20516(4),19610(5)])].

20612 (0 / (x * x)) * (C / x) = (C / x) * (0 / (x * x)). [back_rewrite(19900),rewrite([20516(3),20516(11)])].

20613 C / (x * (C * x)) = 0 / (x * x). [back_rewrite(19899),rewrite([20516(8)])].

20619 C * ((0 / x) * (0 / (x * x))) = (C / x) * (0 / (x * x)). [back_rewrite(19893),rewrite([20516(6),20516(13)])].

20651 (x * (y * (x * (0 / (z * z))))) * a(x * (y * x),0 / z,0 / z) = (x * (y * (x * (0 / z)))) * (0 / z). [back_rewrite(5223),rewrite([20516

(3)])].

20654 (x * (0 / (y * y))) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [back_rewrite(5217),rewrite([20516(3)])].

20656 (0 / x) * ((0 / x) / C) = (0 / (x * x)) / C. [back_rewrite(5213),rewrite([20516(10)])].

20817 a(C,x,C / x) * a(C,x,C / x) = a(C,x,C / x). [para(8316(a,1),265(a,1,1,2,2)),rewrite([13(15,R),20230(15),25(18),20301(21),79(16),11301(

16),49(14),93(12,R),7(13)])].

20838 0 / (x / C) = C / x. [para(18231(a,1),265(a,1,1,2,2)),rewrite([13(16,R),10(21),19610(19),19891(17),20076(18),19963(18),19891(14),756(1

8),7(15),7(12),7(9),7(6)]),flip(a)].

20845 C / (a(C,x,C / x) \ (x * (C / x))) = a(C,x,C / x). [back_rewrite(16000),rewrite([20817(19)])].

20851 (C / x) / (((C * x) \ C) \ C) = 0 / (x * x). [back_rewrite(20564),rewrite([20838(4)])].

20852 (((C * x) \ C) / C) * (C / x) = 0 / (x * x). [back_rewrite(20563),rewrite([20838(10)])].

20853 ((C * x) \ C) / C = (0 / x) / C. [back_rewrite(20562),rewrite([20838(7),20607(6)]),flip(a)].

20857 (C / x) * ((x * C) \ C) = C * ((x * C) \ (C / x)). [back_rewrite(20500),rewrite([20838(4)])].

20860 (((x * C) \ C) / C) * (C / x) = (x * C) \ (C / x). [back_rewrite(20495),rewrite([20838(10)])].

20924 ((x * C) \ C) / (C / x) = 0 / C. [back_rewrite(19150),rewrite([20838(8)])].

20948 ((x * C) \ C) / C = (C / x) / (C * C). [back_rewrite(19104),rewrite([20838(4)]),flip(a)].

20955 (x * C) \ C = 0 / x. [back_rewrite(19083),rewrite([20838(4),19913(4)]),flip(a)].

20962 ((C / x) * ((C * x) * y)) \ (C * (C * y)) = a(C / x,C * x,y). [back_rewrite(18208),rewrite([20838(4),20838(15)])].

20979 ((0 / x) / C) * (C / x) = 0 / (x * x). [back_rewrite(20852),rewrite([20853(6)])].

20988 (x * C) \ (C / x) = 0 / (x * x). [back_rewrite(20860),rewrite([20955(4),20979(7)]),flip(a)].

20999 (C / x) / (C * C) = (0 / x) / C. [back_rewrite(20948),rewrite([20955(4)]),flip(a)].

21020 (0 / x) / (C / x) = 0 / C. [back_rewrite(20924),rewrite([20955(4)])].

21023 (C / x) * (0 / x) = C / (x * x). [back_rewrite(20857),rewrite([20955(6),20988(11),19610(10)])].

21026 (x / C) * (0 / x) = 0 / C. [back_rewrite(20522),rewrite([20955(6)])].

21027 x * (C / x) = C. [back_rewrite(20513),rewrite([20955(4),20460(5)])].

21046 a(C,x,C / x) = 0. [back_rewrite(20845),rewrite([21027(8),8318(7),21027(4),21(3)]),flip(a)].

21066 x \ C = C / x. [back_rewrite(20447),rewrite([21046(4),21046(5),5(3),4(2),21046(6),19(6)])].

21090 C / (x * C) = 0 / x. [back_rewrite(20955),rewrite([21066(4)])].

21120 (0 / x) / C = 0 / (C * x). [back_rewrite(20853),rewrite([21066(4),19913(6)]),flip(a)].

21121 (C / x) / (C / (C / (C * x))) = 0 / (x * x). [back_rewrite(20851),rewrite([21066(6),21066(8)])].

21137 C / (a(C,C / x,x) * ((C / x) * a(C,C / x,x))) = a(C,C / x,x) \ x. [back_rewrite(20445),rewrite([21066(3),21066(6),21066(9),21066(14),2

1066(17)])].

21236 x \ (C / x) = C / (x * x). [back_rewrite(12239),rewrite([21066(2),21066(4),19913(6),21023(5),21066(5)]),flip(a)].

21253 a(C,C / x,x) = 0. [back_rewrite(2721),rewrite([21066(3),9(4),21(3),21066(4)]),flip(a)].

21286 (C / x) / (C * C) = 0 / (C * x). [back_rewrite(20999),rewrite([21120(10)])].

21295 (0 / x) * (0 / (C * x)) = 0 / (C * (x * x)). [back_rewrite(20656),rewrite([21120(6),21120(12)])].

21348 C / (C / x) = x. [back_rewrite(21137),rewrite([21253(5),21253(8),5(6),4(5),21253(8),19(6)])].

21394 (C / x) / (C * x) = 0 / (x * x). [back_rewrite(21121),rewrite([21348(8)])].

21415 C / (C * x) = 0 / x. [para(21027(a,1),103(a,1,2)),rewrite([21066(4),21090(8)])].

21417 (x * y) * (C / x) = x * (C * (y / x)). [para(21027(a,1),30(a,1,2,2)),rewrite([13(3,R)]),flip(a)].

21421 (x * C) \ ((x * y) * (C / y)) = a(x,y,C / y). [para(21027(a,1),64(a,1,1,2))].

21422 (x * ((C / x) * y)) \ (C * y) = a(x,C / x,y). [para(21027(a,1),64(a,1,2,1))].

21512 C * (x * (C * ((C * x) \ y))) = (C * x) * ((0 / x) * y). [back_rewrite(2537),rewrite([21415(6)]),flip(a)].

21514 C * (x * ((C * x) * ((0 / x) * y))) = (x * C) * (C * y). [back_rewrite(1363),rewrite([21512(9)])].

21639 (0 / x) * (x * y) = y. [para(18492(a,1),292(a,1,2,1,2,2)),rewrite([13(12,R),19610(12),21415(10),18522(9),21027(7),13(6,R),19610(6),214

15(4),5(9),19610(8),21415(6),20460(5)])].

21646 x * ((0 / x) * y) = y. [back_rewrite(18543),rewrite([21639(8)])].

21670 a(x,0 / x,y) = 0. [back_rewrite(18531),rewrite([21646(4),20(1)]),flip(a)].

21679 a(0 / x,x,y) = 0. [para(23(a,1),21670(a,1,2)),rewrite([18073(2)])].

21690 (0 / x) * y = x \ y. [para(21679(a,1),63(a,1,2)),rewrite([5(5),9(6),4(6)])].

21697 C * (x * (x * ((C / x) * y))) = (x * C) * (C * y). [back_rewrite(21514),rewrite([21690(6),2505(5)])].

21699 C * (x * (C * ((C * x) \ y))) = x * ((C / x) * y). [back_rewrite(21512),rewrite([21690(13),2505(12)])].

21709 x \ (0 / (C * x)) = 0 / (C * (x * x)). [back_rewrite(21295),rewrite([21690(7)])].

21736 (C / x) * (0 / (x * x)) = C * (x \ (0 / (x * x))). [back_rewrite(20619),rewrite([21690(7)]),flip(a)].

21738 C * (x \ (0 / (x * x))) = x \ (C / (x * x)). [back_rewrite(20612),rewrite([21690(6),410(4),21236(3),21736(10)]),flip(a)].

21743 (C * (C * (x * (C * C)))) \ (C * (x * (C * (x \ y)))) = (x * (C * C)) \ y. [back_rewrite(20470),rewrite([21690(13)])].

21744 (C * (C / x)) * y = C * (x \ (C * y)). [back_rewrite(20025),rewrite([21690(6)]),flip(a)].

21754 a(x,0 / (x * x),y) = 0. [back_rewrite(18786),rewrite([21690(4),410(2),6(3),21690(4),20(3)]),flip(a)].

21792 a(0 / (x * y),x,y) = ((x * y) \ x) * y. [back_rewrite(3037),rewrite([21690(4)]),flip(a)].

21833 (C / (x * x)) * (0 / x) = x \ (C / (x * x)). [back_rewrite(20585),rewrite([21736(12),21738(12)])].

21889 x * ((C / x) * ((C * x) * y)) = x * (C * (x \ (C * (x * y)))). [back_rewrite(19997),rewrite([21744(6)]),flip(a)].

21929 ((C * x) * (y * C)) / (0 / x) = C * ((x * C) * (y * x)). [para(19611(a,1),29(a,1,1,2,2)),rewrite([13537(14)])].

21939 (x * C) \ ((x * (C * y)) * (0 / y)) = a(x,C * y,0 / y). [para(19611(a,1),64(a,1,1,2))].

22047 0 / (C / x) = x / C. [para(23(a,1),19913(a,1,1)),rewrite([21066(5)]),flip(a)].

22048 (0 / x) / (0 / (C * x)) = C. [para(19913(a,1),915(a,1,1)),rewrite([21286(8)])].

22058 x * (0 / (C * x)) = 0 / C. [para(19913(a,1),11408(a,1,1)),rewrite([21286(8),20460(7)])].

22059 (0 / (C * x)) / (0 / x) = 0 / C. [para(19913(a,1),13484(a,1,2)),rewrite([21286(6)])].

22062 x / (y * x) = 0 / y. [para(20460(a,1),23(a,1,2))].

22063 (x \ y) / (x * y) = 0 / (x * x). [para(20460(a,1),150(a,1,2)),rewrite([21690(3),21690(8),18495(6)])].

22064 x / (y * (y * x)) = 0 / (y * y). [para(20460(a,1),417(a,1,2,2)),rewrite([20460(4),21690(8),18495(6)])].

22129 C * (C * (x * ((C * x) \ y))) = (C / x) * (x * y). [para(295(a,1),7(a,1,2)),rewrite([372(4)]),flip(a)].

22131 x * (C * (x \ (C * (x * y)))) = C * (x * (C * y)). [para(295(a,1),76(a,1)),rewrite([13(4,R),52(5),22129(19),21415(11),21690(13),371(12

),21889(12)]),flip(a)].

22173 x * ((C / x) * ((C * x) * y)) = C * (x * (C * y)). [back_rewrite(21889),rewrite([22131(14)])].

22209 (x \ y) / y = 0 / x. [para(21690(a,1),8(a,1,1))].

22211 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(21690(a,1),10(a,1,1)),rewrite([21690(10),21690(10)])].

22214 (x \ (x \ y)) / y = 0 / (x * x). [para(21690(a,1),85(a,1,1,2)),rewrite([21690(4),21690(8),18495(6)])].

22228 (C * x) \ (0 / x) = 0 / (C * (x * x)). [para(21690(a,1),1803(a,2)),rewrite([21120(4),21690(7),21120(9),21709(10)])].

22278 x \ (0 / C) = 0 / (C * x). [para(21690(a,1),10200(a,1)),rewrite([21120(8)])].

22307 (x / C) \ y = (C / x) * y. [para(20838(a,1),21690(a,1,1)),flip(a)].

22353 (C / (x * y)) * ((x / C) * y) = a(0 / C,x,y). [back_rewrite(13233),rewrite([22307(7)])].

22357 0 / (C * (C / x)) = x / (C * C). [para(914(a,1),22047(a,2)),rewrite([19891(5)])].

22359 (C / x) * (x * (x / (C * C))) = x / C. [para(22047(a,1),18747(a,2)),rewrite([20211(8),22357(9),4279(7)])].

22397 0 / (x / y) = y / x. [para(9(a,1),22062(a,1,2)),flip(a)].

22398 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(10(a,1),22062(a,1,2))].

22403 x / (y * (z * (u * (z * (y * x))))) = 0 / (y * (z * (u * (z * y)))). [para(31(a,1),22062(a,1,2))].

22406 (C * x) / (y * (x * C)) = 0 / y. [para(565(a,1),22062(a,1,2))].

22420 a(x,y,C) / (C * (x * y)) = 0 / (x * (C * y)). [para(77(a,1),22062(a,1,2))].

22421 x / (y * (z * (z * (y * x)))) = 0 / (y * (z * (z * y))). [para(86(a,1),22062(a,1,2))].

22500 (0 / (C * C)) / x = 0 / (C * (x * C)). [para(15143(a,1),22209(a,1,1))].

22566 (x / y) * (y / x) = 0. [para(22397(a,1),9(a,1,1))].

22581 a(x / y,y / x,z) = 0. [para(22397(a,1),21670(a,1,2))].

22582 C / (x / y) = C * (y / x). [para(22397(a,1),19610(a,1,2)),flip(a)].

22584 (x / y) \ z = (y / x) * z. [para(22397(a,1),20460(a,1,1))].

22594 C * ((x * y) \ (x * (y / C))) = a(0 / (C * C),x,y). [back_rewrite(14280),rewrite([22584(11),20196(5),21744(11),14703(9)])].

22602 (x / y) * ((y / x) * z) = z. [para(22566(a,1),15(a,2,1)),rewrite([22581(7),5(6),4(6)])].

22604 ((x / y) * z) * (y / x) = (x / y) * (z / (x / y)). [para(22566(a,1),30(a,1,2,2)),rewrite([5(5)]),flip(a)].

22668 (C * x) \ ((x * (C * y)) * (0 / y)) = a(x,C * y,0 / y). [para(302(a,1),103(a,1,2)),rewrite([21066(9),22062(9),21066(15),22062(15)])].

23094 (x * y) / (x \ z) = x * ((y / z) * x). [para(9(a,1),317(a,1,1,2))].

23175 (x \ y) / (x * (x * y)) = x \ (0 / (x * x)). [para(18747(a,1),317(a,2,2)),rewrite([21690(5),410(3),7(2),22584(5),22(4),25(3),21690(10)

,410(8),18495(7)])].

23187 (x \ y) / (x * (z * y)) = 0 / (x * (z * x)). [para(317(a,1),22397(a,1,2)),flip(a)].

23195 x \ (0 / (x * x)) = 0 / (x * (x * x)). [back_rewrite(23175),rewrite([23187(4)]),flip(a)].

23196 x \ (C / (x * x)) = C / (x * (x * x)). [back_rewrite(21738),rewrite([23195(5),19610(6)]),flip(a)].

23207 (C / (x * x)) * (0 / x) = C / (x * (x * x)). [back_rewrite(21833),rewrite([23196(10)])].

23244 x \ (y * (0 / x)) = (x \ y) / x. [para(5(a,1),318(a,1,1,2)),rewrite([21690(3),21690(8)]),flip(a)].

23390 (C / x) / x = C / (x * x). [para(19610(a,1),318(a,2,2)),rewrite([5(5),13(4,R),19610(4),21690(8),21236(6)])].

23406 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(22211),rewrite([23244(4)]),flip(a)].

23456 a(0 / x,x * x,y) = 0. [para(21690(a,1),21754(a,1,2,2)),rewrite([18495(6),22397(7),22(5)])].

23462 x * ((x * y) \ x) = x / y. [para(5(a,1),319(a,2,1)),rewrite([21690(4)])].

23463 x \ ((x * y) / z) = (y / (x * z)) * x. [para(319(a,1),7(a,1,2))].

23492 ((x * C) * y) / ((C * x) \ z) = C * ((C * x) * ((y / z) * x)). [para(101(a,1),319(a,1,2,1,2)),rewrite([13538(7)]),flip(a)].

23516 ((C * x) / y) / (C * C) = x / (C * y). [para(319(a,1),936(a,1,1)),rewrite([13(12,R),48(14)])].

23519 ((C * x) * y) / (C / x) = C * ((x / C) * (y * x)). [para(1045(a,1),319(a,1,2,1,2)),rewrite([13024(9),388(6)]),flip(a)].

23649 C * (C * (x / (C / y))) = (C * x) / (0 / y). [para(19610(a,1),319(a,1,2,1,2)),rewrite([13(6,R)])].

23964 a(x / y,(y / x) * (y / x),z) = 0. [para(22397(a,1),23456(a,1,1))].

24017 ((x * (0 / (C * y))) / C) / (0 / y) = x / (C * C). [para(18492(a,1),322(a,1,1,2,2,2)),rewrite([21690(5),11276(3),5(9),21690(9),79(7),1

9610(13),21415(11),21690(15),11276(13),21690(18),11276(16),10200(17),21690(16),79(14),914(14)])].

24085 (C * (x * (y * x))) / x = C * (C * (x * (y / C))). [para(9(a,1),323(a,1,1,2,2,1))].

24088 (C * (x * ((C * y) * x))) / x = C * (C * (x * y)). [para(13(a,2),323(a,1,1,2,2,1))].

24403 ((x / y) / C) * (y / x) = 0 / C. [para(22397(a,1),21026(a,1,2))].

24547 (x * C) * (y * (y * (x * C))) = C * ((C * x) * (y * (y * x))). [para(101(a,1),327(a,1,1,2,2,2)),rewrite([23492(9),85(6),25(5)]),flip(a

)].

24555 (x * C) * (y * (y * (C * x))) = C * ((C * x) * (y * (y * x))). [para(565(a,2),327(a,2,2,2)),rewrite([327(9),24547(7)]),flip(a)].

24893 (x * y) * (0 / (C * x)) = x * ((y / x) / C). [para(22058(a,1),30(a,1,2,2)),rewrite([10200(5)]),flip(a)].

25189 ((x / y) / C) * ((C * (y / x)) * z) = z. [para(22582(a,1),22602(a,1,2,1))].

25274 x / (x \ y) = x * (y \ x). [para(6(a,1),23462(a,1,2,1)),flip(a)].

25275 (x * y) \ x = x \ (x / y). [para(23462(a,1),7(a,1,2)),flip(a)].

25276 (x / y) * (x \ (x / y)) = (x / y) / y. [para(9(a,1),23462(a,1,2,1))].

25300 (x * y) / (x * C) = x * ((y / x) / C). [para(56(a,1),23462(a,1,2,1)),rewrite([20301(7),25275(4),11271(4),22278(5),24893(6)]),flip(a)].

25352 a(0 / (x * y),x,y) = (x \ (x / y)) * y. [back_rewrite(21792),rewrite([25275(6)])].

25565 x \ (y \ (0 / x)) = (0 / x) / (x * y). [para(21690(a,1),25274(a,2)),rewrite([22584(5),22(4)]),flip(a)].

25597 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(15(a,1),25275(a,1,1)),flip(a)].

25601 ((C * x) * y) \ (x * C) = (x * C) \ ((x * C) / y). [para(76(a,2),25275(a,1,1))].

25631 (x * (y * C)) \ ((x * (y * C)) / a(x,C,y)) = ((x * C) * y) \ (x * (y * C)). [para(75(a,1),25275(a,1,1)),flip(a)].

25632 (x * (C * y)) \ ((x * (C * y)) / a(x,y,C)) = (C * (x * y)) \ (x * (C * y)). [para(77(a,1),25275(a,1,1)),flip(a)].

25666 (x \ (x / y)) / x = 0 / (x * y). [para(25275(a,1),22209(a,1,1))].

26405 (x * (C * y)) * (y \ z) = y * ((C * (y \ x)) * z). [para(33(a,1),371(a,1,1)),rewrite([8(10)])].

26416 C * ((x / (C * (C * C))) * y) = (x / C) * (y / C). [para(644(a,1),371(a,1,1)),rewrite([79(4),14402(12)]),flip(a)].

26480 x * (C * (C * (C * (x * ((x * (C * C)) \ y))))) = C * (x * y). [para(13479(a,1),371(a,2,2,1)),rewrite([56(7),13(5,R),50(6),31(13),2169

0(21),79(19),242(20),49(18)])].

26498 x * ((C / (x * x)) * y) = C * (x \ y). [para(21027(a,1),371(a,1,1)),rewrite([23390(6)]),flip(a)].

26499 (C / x) * (y / C) = C * ((C * x) \ y). [para(19610(a,1),371(a,1,1)),rewrite([79(4),21120(10),21690(11)])].

26502 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(21690(a,1),371(a,1,1)),rewrite([22584(4),22(3),21690(10)]),flip(a)].

26511 x * (((C / (x * x)) / x) * y) = (C / x) * (x \ y). [para(20518(a,1),371(a,1,1)),flip(a)].

26516 (C * (x * x)) \ ((C * x) * y) = (C * x) \ (C * y). [para(22048(a,1),371(a,2,2,1)),rewrite([21690(7),22228(5),22584(10),22(9),21690(9),

21690(14)])].

26524 (x * ((y / x) * z)) \ (x * y) = (x * y) \ (x * ((y / z) * x)). [para(371(a,1),25275(a,1,1)),rewrite([23094(9)])].

26624 x \ ((C * x) * y) = (C / x) * (x * y). [para(13(a,2),372(a,1,2,1))].

26625 x \ (C * (x * y)) = (y / x) * (x * C). [para(13(a,2),372(a,1,2))].

26649 (C * x) \ (C * (C * y)) = x \ ((C / x) * (x * y)). [para(1045(a,1),372(a,1,2,1)),rewrite([25(6),21394(12),21690(14),410(12),26624(11)]

)].

26684 (x * (C * (C * (x * y)))) / C = x * (x * (C * y)). [para(120(a,1),372(a,1,2)),rewrite([79(8),8356(16)])].

26694 (x / (y * C)) * y = (x / y) * (y / C). [para(10200(a,1),372(a,1,2)),rewrite([23463(4),10200(9)])].

26708 (C * (x * C)) \ (x * y) = x \ ((x / (C * C)) * y). [para(14978(a,1),372(a,1,2,1)),rewrite([22500(12),21690(14)]),flip(a)].

26728 (C * x) \ (C * y) = ((C / x) * y) / C. [para(19610(a,1),372(a,1,2,1)),rewrite([79(5),21120(9),21690(12)]),flip(a)].

26731 ((C / x) * (x * (C * y))) / C = (C / x) * (x * y). [para(21415(a,1),372(a,2,1)),rewrite([13(6,R),52(7),26728(8),21690(14),26624(12)])]

.

26732 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(21690(a,1),372(a,1,2,1)),rewrite([22584(5),22(2),21690(9)]),flip(a)].

26738 C * (x \ ((y / x) * (x * C))) = x \ (C * (C * y)). [para(20076(a,1),372(a,1,2,1)),rewrite([25(4),20269(10),21744(12),410(11),26625(10)

]),flip(a)].

26742 (x / C) * ((C / (x * x)) * y) = ((C / x) * y) / C. [para(21020(a,1),372(a,2,1)),rewrite([21023(7),22584(7),21690(14),79(12)])].

26745 (C * x) * ((C * (x * x)) \ y) = C * ((C * x) \ y). [para(22048(a,1),372(a,2,1)),rewrite([21690(11),22228(9),21690(10),22584(9),22(4),2

1690(13)])].

26788 C * ((x / (C * y)) * y) = C * ((x / y) * (y / C)). [back_rewrite(3045),rewrite([26694(11)])].

26798 x \ ((C / x) * (x * y)) = ((C / x) * (C * y)) / C. [back_rewrite(26649),rewrite([26728(7)]),flip(a)].

26800 (C * (x * x)) \ ((C * x) * y) = ((C / x) * y) / C. [back_rewrite(26516),rewrite([26728(12)])].

26830 (x * (C * C)) \ y = (x \ (y / C)) / C. [back_rewrite(21743),rewrite([26728(15),22398(8),21690(11),26708(9),13024(8),6(2)]),flip(a)].

26943 ((x * y) \ (x * (C * y))) / C = a(C * C,x,y). [back_rewrite(5408),rewrite([26728(11),21415(5),21690(7)])].

26983 x \ (C * ((x / y) * (y / C))) = a(x / (C * y),y,C). [back_rewrite(2736),rewrite([26788(6)])].

26994 x * (C * (C * (C * (x * ((x \ (y / C)) / C))))) = C * (x * y). [back_rewrite(26480),rewrite([26830(8)])].

27012 (C * (C * x)) \ y = (x \ (y / C)) / C. [back_rewrite(727),rewrite([26830(10)])].

27071 (x * (x * (C * C))) \ y = (x \ (x \ (y / C))) / C. [back_rewrite(18843),rewrite([27012(6),410(4)]),flip(a)].

27075 ((x * (y * x)) \ (((x * y) * (x * (C * C))) / C)) / C = a(x,y,x * (C * C)). [back_rewrite(17366),rewrite([27012(13)])].

27087 (C * (x * (y * (x * C)))) \ z = ((x * (y * x)) \ (z / C)) / C. [back_rewrite(6688),rewrite([27012(7)]),flip(a)].

27098 (C * (x * (C * x))) \ y = (x \ (x \ (y / C))) / C. [back_rewrite(16862),rewrite([27071(12)])].

27407 x \ (y / (0 / x)) = (x \ y) * x. [para(5(a,1),374(a,1,2)),rewrite([21690(6),21690(7)])].

27449 (C * x) * (0 / (C * y)) = C * ((x / C) * (0 / y)). [para(22048(a,1),374(a,1,1)),rewrite([22048(8),22048(14)]),flip(a)].

27919 C * ((x / (C * y)) * (z * C)) = ((C * x) / y) * z. [para(319(a,1),380(a,2,1)),rewrite([13(6,R),48(8)])].

27932 C * ((((x / C) * (y * C)) / C) * z) = ((C * x) * y) * (z / C). [para(380(a,1),371(a,1,1)),rewrite([79(5)]),flip(a)].

27990 ((C / x) * ((x * C) * y)) / C = (y / (x * C)) * (C * (x * C)). [para(381(a,1),103(a,1,2)),rewrite([26728(8)])].

27993 (x * C) \ (C * ((C * x) * y)) = (y / (C * x)) * (C * (C * x)). [para(381(a,1),104(a,1,2))].

28000 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y / x,C * x). [para(381(a,1),64(a,1,1)),rewrite([12(8),13(6,R)])].

28491 (((C * x) / y) * z) / C = (x / (C * y)) * (C * z). [para(319(a,1),386(a,1,1,1)),rewrite([13(11,R),48(13)])].

28590 x * ((x \ y) * x) = y / (0 / x). [para(6(a,1),18521(a,1,1)),flip(a)].

28628 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(18521(a,1),22397(a,1,2)),flip(a)].

28635 x * (((y / x) * (C * x)) * x) = (C * (x * y)) / (0 / x). [para(381(a,1),18521(a,1,1)),flip(a)].

28695 x \ (y \ (0 / x)) = 0 / (x * (y * x)). [back_rewrite(25565),rewrite([28628(8)])].

28701 x * ((x \ y) / x) = y * (0 / x). [para(6(a,1),18522(a,1,1)),flip(a)].

28720 (x * (C * y)) * (0 / y) = y * (C * (y \ x)). [para(33(a,1),18522(a,1,1)),rewrite([8(11)])].

28730 (C * (x * (y * x))) * (0 / x) = x * ((y * (x * C)) / x). [para(53(a,2),18522(a,1,1))].

28738 (x * (y * (0 / x))) \ (x * (y / x)) = a(x,y,0 / x). [para(18522(a,1),64(a,1,2))].

28754 x * ((x \ y) * (x * z)) = (y / (0 / x)) * z. [para(18522(a,1),191(a,2,1,2)),rewrite([18489(5),5(2),18489(6),5(3),18489(9),5(6),23(7),2

8590(7)])].

28767 ((x * y) / z) * (0 / x) = x * (y / (x * z)). [para(319(a,1),18522(a,1,1)),rewrite([8(9)])].

28777 (x * (y * x)) \ ((x * y) * z) = (x * y) \ ((x * (y / x)) * z). [para(18522(a,1),372(a,1,2,1)),rewrite([28628(9),21690(12)]),flip(a)].

28789 (C * x) \ (y * (C * (y \ x))) = a(x,C * y,0 / y). [back_rewrite(22668),rewrite([28720(8)])].

28795 (x * C) \ (y * (C * (y \ x))) = a(x,C * y,0 / y). [back_rewrite(21939),rewrite([28720(8)])].

28920 ((C / (x * x)) / x) * y = (C / (x * (x * x))) * y. [para(20579(a,1),27(a,1,1)),rewrite([20579(10),21690(9),410(7),2505(8),21690(9),410

(7),7(6),23406(5),21236(3),20579(10),21690(11),410(9),21236(8),23196(9)])].

28943 x * ((C / (x * (x * x))) * y) = (C / x) * (x \ y). [back_rewrite(26511),rewrite([28920(5)])].

28972 C * ((x / C) * ((x * C) \ ((x / C) * (C * y)))) = (x / C) * y. [para(14978(a,1),390(a,2,1)),rewrite([22500(10),13(8,R),21690(14),27012

(12),7678(9),388(13),1460(19)])].

29031 (0 / x) / (C / (x * x)) = x / C. [para(20608(a,1),22397(a,1,2)),rewrite([22397(4)]),flip(a)].

29332 (C * (x * x)) \ y = x \ ((x \ y) / C). [para(22059(a,1),30(a,1,2,1)),rewrite([21690(8),21690(7),79(5),21690(6),21690(11),21709(9),2169

0(10)]),flip(a)].

29360 x \ (((C / x) * (x * y)) / C) = ((C / x) * y) / C. [back_rewrite(26800),rewrite([29332(7),26624(4)])].

29361 x * (C * ((C * x) \ (x \ y))) = C * ((C * x) \ y). [back_rewrite(26745),rewrite([29332(6),2505(7),26499(6)])].

29799 C * ((C * x) \ (y * (C * C))) = (C / x) * (y * C). [para(19610(a,1),401(a,2,1)),rewrite([21120(5),21690(10)])].

30267 x * ((C * ((x \ y) / x)) * x) = (y * (0 / x)) * (C * x). [para(23244(a,1),33(a,1,2,1,2))].

30284 (x \ (0 / y)) / x = 0 / (x * (y * x)). [para(21690(a,1),23244(a,1,2)),rewrite([28695(4)]),flip(a)].

30498 (C * x) \ ((x / C) * (C * y)) = (y / x) * (x / C). [para(10200(a,1),405(a,1,2)),rewrite([7678(7),10200(17),8(15),26694(12)])].

30499 ((x * C) \ ((x / C) * (C * y))) / C = (C * x) \ ((x / C) * y). [para(14978(a,1),405(a,1,2,1)),rewrite([1460(8),22500(14),13(12,R),2169

0(18),27012(16),7678(13)]),flip(a)].

30504 (x * C) \ (C * y) = ((C / x) * y) / C. [para(21027(a,1),405(a,1,2,1)),rewrite([26728(5),22062(9),28628(10),21690(14),28777(12),21027(1

0)]),flip(a)].

30516 ((C / x) * ((C * x) * y)) / C = (y / (C * x)) * (C * (C * x)). [back_rewrite(27993),rewrite([30504(8)])].

30582 ((C * x) / (C * y)) * (C * (C * y)) = (C / y) * ((C * y) * x). [para(99(a,2),408(a,1,2,1)),rewrite([13(7,R),52(9),30504(10),30516(10),

20196(16),21415(15),19610(14)])].

30587 (x * C) \ ((x / C) * y) = ((y / x) / (C * C)) * x. [para(14978(a,1),408(a,1,2,1)),rewrite([25300(8),914(7),644(8),22500(14),13(12,R),2

1690(18),27012(16),386(13),30498(14),13083(12)])].

30601 (C * x) \ ((x / C) * y) = ((y / (C * x)) * x) / C. [back_rewrite(30499),rewrite([30587(8),23516(7)]),flip(a)].

30602 C * ((x / C) * ((y / (C * x)) * x)) = (x / C) * y. [back_rewrite(28972),rewrite([30587(11),23516(10)])].

30603 (x / (C * (C * y))) * (C * y) = (x / y) * (y / C). [back_rewrite(30498),rewrite([30601(8),28491(8)])].

31037 (x / y) * (x \ z) = x * ((x * y) \ z). [para(25666(a,1),371(a,2,2,1)),rewrite([6(3),21690(7)])].

31038 ((x * y) \ (x * ((y / z) * x))) / (x * y) = 0 / (x * ((y / x) * z)). [para(371(a,1),25666(a,2,2)),rewrite([23094(4)])].

31039 (x * y) \ (x * z) = x \ ((x / y) * z). [para(25666(a,1),372(a,2,1)),rewrite([6(3),21690(8)]),flip(a)].

31044 (x / y) * (0 / x) = x * (0 / (x * y)). [para(25666(a,1),18522(a,2,2)),rewrite([6(3)])].

31060 x * ((x * y) \ (x / y)) = (x / y) / y. [back_rewrite(25276),rewrite([31037(4)])].

31061 (x \ ((x / y) * ((y / z) * x))) / (x * y) = 0 / (x * ((y / x) * z)). [back_rewrite(31038),rewrite([31039(5)])].

31066 x \ ((x / (y * (0 / x))) * (y / x)) = a(x,y,0 / x). [back_rewrite(28738),rewrite([31039(7)])].

31075 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [back_rewrite(26943),rewrite([31039(5)])].

31080 x \ ((x / ((y / x) * z)) * y) = x \ ((x / y) * ((y / z) * x)). [back_rewrite(26524),rewrite([31039(5),31039(10)])].

31092 C * (x \ ((x / y) * (y / C))) = a(0 / (C * C),x,y). [back_rewrite(22594),rewrite([31039(6)])].

31098 (x * (y * x)) \ z = x \ (y \ (x \ z)). [back_rewrite(20305),rewrite([31039(11),22403(6),21690(10),31039(8),22398(4),21690(7),31039(5),

22062(2),21690(4),7(2)]),flip(a)].

31172 (C * (x * (y * (x * C)))) \ z = (x \ (y \ (x \ (z / C)))) / C. [back_rewrite(27087),rewrite([31098(12)])].

31174 (x \ (y \ (x \ (((x * y) * (x * (C * C))) / C)))) / C = a(x,y,x * (C * C)). [back_rewrite(27075),rewrite([31098(11)])].

31187 (x / (0 / y)) / ((y \ x) * y) = y. [para(27407(a,1),23(a,1,2))].

31190 ((x * y) / (y * C)) * (C * (y * C)) = x * (y * C). [para(104(a,1),27407(a,2,1)),rewrite([18716(10),26625(9),13(8,R)])].

31207 x * ((y / x) * (z / (0 / x))) = (x * y) * ((x \ z) * x). [para(27407(a,1),371(a,1,2)),flip(a)].

31214 x \ (0 / (x \ y)) = ((0 / x) / y) * x. [para(25666(a,1),27407(a,1,2)),rewrite([21690(4),22584(10),22(6),7(9)])].

31229 x * (((x \ y) / (0 / x)) * x) = y / (0 / (x * x)). [para(28590(a,1),25(a,1)),rewrite([410(6),28754(9)]),flip(a)].

31235 x * ((x \ y) * (C * x)) = C * (y / (0 / x)). [para(28590(a,1),54(a,1,2)),flip(a)].

31237 a(x,x \ y,x) = ((0 / x) / y) * (y * x). [para(28590(a,1),64(a,1,1)),rewrite([6(5),22584(5)]),flip(a)].

31257 x * ((y / (z / (0 / x))) * x) = (x * y) / ((x \ z) * x). [para(28590(a,1),319(a,1,2,1,2))].

31266 (x / (0 / y)) / (0 / y) = y * (((y \ x) * y) * y). [para(28590(a,1),18521(a,1,1))].

31297 x * (0 / (x * (y * x))) = y \ (0 / x). [para(21690(a,1),28701(a,2)),rewrite([30284(4)])].

31301 x \ (x / ((x \ y) / x)) = (y * (0 / x)) \ x. [para(28701(a,1),25275(a,1,1)),flip(a)].

31323 x * (((C / x) * (x \ y)) / C) = ((C / x) * y) / C. [para(29031(a,1),372(a,2,1)),rewrite([23207(9),22584(9),1880(3),13031(9),28943(6),2

6742(14)])].

33993 a(x / C,C * (C / (x * x)),y) = 0. [para(1460(a,1),23964(a,1,1)),rewrite([20196(8),22062(7),19610(6),20196(10),22062(9),19610(8),20211(

7)])].

33994 a(C / x,x * (x / (C * C)),y) = 0. [para(1460(a,1),23964(a,1,2,1)),rewrite([20196(6),22062(5),19610(4),1460(10),4257(7)])].

37637 x \ (y * (x * C)) = (C * (x \ y)) * x. [para(13(a,1),559(a,1,2,2))].

37655 (C * (x * y)) * (0 / x) = x * (y * (C / x)). [para(19610(a,1),559(a,1,2,2)),rewrite([22584(6),22(2),22584(8),22(7)]),flip(a)].

37670 C * ((C * (x \ (y / x))) * x) = x \ (C * (C * y)). [back_rewrite(26738),rewrite([37637(6)])].

37672 x * ((y * (x * C)) / x) = x * ((y * x) * (C / x)). [back_rewrite(28730),rewrite([37655(7)]),flip(a)].

37890 a(x,C * (y * (C * z)),C) = a(x,C * C,y * (C * z)). [para(562(a,1),2684(a,2,2)),rewrite([79(6),49(7),242(12)]),flip(a)].

37916 (x * (y / z)) * (z / y) = x. [para(24403(a,1),562(a,1,2,2)),rewrite([22584(8),22582(7),10200(13),48(11),25189(8),49(5)]),flip(a)].

37973 x / (y / z) = x * (z / y). [para(37916(a,1),8(a,1,1))].

37974 (x * y) * (0 / y) = x. [para(8(a,1),37916(a,1,1,2)),rewrite([22062(3)])].

38021 (x * (0 / y)) \ y = y * (x \ y). [back_rewrite(31301),rewrite([37973(3),25274(2),7(4)]),flip(a)].

38106 x * (((x \ y) * x) * x) = (y * x) * x. [back_rewrite(31266),rewrite([37973(3),22(2),37973(4),22(3)]),flip(a)].

38113 (x * y) / ((x \ z) * x) = x * ((y / (z * x)) * x). [back_rewrite(31257),rewrite([37973(3),22(2)]),flip(a)].

38130 x * ((x \ y) * (C * x)) = C * (y * x). [back_rewrite(31235),rewrite([37973(9),22(8)])].

38133 (x * y) * y = x * (y * y). [back_rewrite(31229),rewrite([37973(4),22(3),38106(4),37973(6),22(5)])].

38140 (x * y) * ((x \ z) * x) = x * ((y / x) * (z * x)). [back_rewrite(31207),rewrite([37973(4),22(3)]),flip(a)].

38149 (x * y) / ((y \ x) * y) = y. [back_rewrite(31187),rewrite([37973(3),22(2)])].

38187 x * ((x \ y) * (x * z)) = (y * x) * z. [back_rewrite(28754),rewrite([37973(7),22(6)])].

38220 x * (((y / x) * (C * x)) * x) = (C * (x * y)) * x. [back_rewrite(28635),rewrite([37973(12),22(11)])].

38235 x * ((x \ y) * x) = y * x. [back_rewrite(28590),rewrite([37973(6),22(5)])].

38250 x \ (y * x) = (x \ y) * x. [back_rewrite(27407),rewrite([37973(3),22(2)])].

38260 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(26732),rewrite([37973(3),22(2)])].

38261 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(26502),rewrite([37973(3),22(2)])].

38288 ((x * (0 / (C * y))) / C) * y = x / (C * C). [back_rewrite(24017),rewrite([37973(10),22(9)])].

38295 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(23649),rewrite([37973(5),37973(12),22(11)])].

38302 ((C * x) * y) * (x / C) = C * ((x / C) * (y * x)). [back_rewrite(23519),rewrite([37973(6)])].

38311 ((x / y) * z) * (y / x) = (x / y) * (z * (y / x)). [back_rewrite(22604),rewrite([37973(7)])].

38314 ((C * x) * (y * C)) * x = C * ((x * C) * (y * x)). [back_rewrite(21929),rewrite([37973(8),22(7)])].

38320 (C / x) * (C * (y * (x / C))) = ((C / x) * y) * x. [back_rewrite(19612),rewrite([37973(6)])].

38323 ((x * C) * y) * (C * x) = C * ((C * x) * (y * x)). [back_rewrite(18666),rewrite([37973(8),22(7)])].

38324 (x * y) * x = x * (y * x). [back_rewrite(18521),rewrite([37973(4),22(3)])].

38406 a(x,0 / y,0 / y) = 0. [back_rewrite(20654),rewrite([38133(10),21690(9),18495(7),20(9)]),flip(a)].

38466 (x * y) \ (z * ((z \ x) * y)) = a(x,z,z \ y). [back_rewrite(2497),rewrite([38260(4)])].

38478 x * (x * ((C / x) * y)) = C * (x * y). [back_rewrite(26994),rewrite([38295(11),38260(7),21066(3),26499(6),21699(8)])].

38479 (C * (x * (y * x))) / x = (C * x) * y. [back_rewrite(24085),rewrite([38295(12)])].

38538 (x * (y * (x * (0 / z)))) * (0 / z) = x * (y * (x * (0 / (z * z)))). [back_rewrite(20651),rewrite([38406(13),5(8)]),flip(a)].

38547 (x * C) * (C * y) = C * (C * (x * y)). [back_rewrite(21697),rewrite([38478(6)]),flip(a)].

38550 (C * x) * (C * y) = C * (C * (x * y)). [back_rewrite(24088),rewrite([38479(7)])].

38552 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(323),rewrite([38479(7)])].

38598 a(x,C,C * y) = a(x,y,C * C). [back_rewrite(2703),rewrite([38547(10),2685(11)]),flip(a)].

38660 (x * (C * (C * C))) * y = C * (C * (C * (x * y))). [back_rewrite(5739),rewrite([38550(13)])].

38666 (x * C) * (y * C) = C * (C * (x * y)). [back_rewrite(849),rewrite([38550(5)]),flip(a)].

38669 C * ((x * C) * (y * x)) = C * (x * ((y * C) * x)). [back_rewrite(38314),rewrite([38552(5),52(6),12(5)]),flip(a)].

38730 (C * (x * ((y * C) * x))) * z = (x * (C * (C * (y * x)))) * z. [back_rewrite(6635),rewrite([38552(12)])].

38790 (C * x) * (y * (C * x)) = C * (x * ((y * C) * x)). [back_rewrite(13537),rewrite([38669(12)])].

38793 (C * (x * ((y * C) * x))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(10504),rewrite([38669(6)])].

38810 (x * (C * (C * (y * x)))) * z = (x * C) * (y * ((x * C) * z)). [back_rewrite(38730),rewrite([38793(7)]),flip(a)].

38830 x \ (x / y) = 0 / y. [para(37974(a,1),7(a,1,2)),rewrite([25275(2)])].

38831 x * (0 / y) = x / y. [para(9(a,1),37974(a,1,1))].

38836 (x * y) * (x * y) = x * (y * (x * y)). [para(37974(a,1),85(a,1,1,2)),rewrite([38324(2),37973(5),22(4),10(3)]),flip(a)].

38844 a(x,y,0 / y) = 0. [para(37974(a,1),64(a,1,2)),rewrite([18489(3),5(2),20(1)]),flip(a)].

38858 (0 / x) / y = 0 / (y * x). [para(37974(a,1),22062(a,1,2))].

38903 (C * (x * y)) \ (x * (C * y)) = 0 / a(x,y,C). [back_rewrite(25632),rewrite([38830(10)]),flip(a)].

38904 ((x * C) * y) \ (x * (y * C)) = 0 / a(x,C,y). [back_rewrite(25631),rewrite([38830(10)]),flip(a)].

38912 ((C * x) * y) \ (x * C) = 0 / y. [back_rewrite(25601),rewrite([38830(12)])].

38914 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(25597),rewrite([38830(7)]),flip(a)].

38916 a(0 / (x * y),x,y) = 0. [back_rewrite(25352),rewrite([38830(6),9(7)])].

38919 (x * y) \ x = 0 / y. [back_rewrite(25275),rewrite([38830(4)])].

38927 (x * (y * (x / z))) / z = x * (y * (x / (z * z))). [back_rewrite(38538),rewrite([38831(3),38831(6),38831(8)])].

38942 ((x / (C * y)) / C) * y = x / (C * C). [back_rewrite(38288),rewrite([38831(5)])].

38961 (x / y) * x = x * (y \ x). [back_rewrite(38021),rewrite([38831(3),22584(2)])].

38970 (C * (x * y)) / x = x * (y * (C / x)). [back_rewrite(37655),rewrite([38831(6)])].

38992 x / (x * (y * x)) = y \ (0 / x). [back_rewrite(31297),rewrite([38831(5)])].

39000 a(x,y,0 / x) = 0. [back_rewrite(31066),rewrite([38831(3),37973(2),37916(4),20(1)]),flip(a)].

39001 (x / y) / x = x / (x * y). [back_rewrite(31044),rewrite([38831(4),38831(6)])].

39018 x * ((C * ((x \ y) / x)) * x) = (y / x) * (C * x). [back_rewrite(30267),rewrite([38831(9)])].

39059 ((x * y) / z) / x = x * (y / (x * z)). [back_rewrite(28767),rewrite([38831(5)])].

39063 (x * (C * y)) / y = y * (C * (y \ x)). [back_rewrite(28720),rewrite([38831(6)])].

39069 x * ((x \ y) / x) = y / x. [back_rewrite(28701),rewrite([38831(6)])].

39083 (C * x) / (C * y) = C * ((x / C) / y). [back_rewrite(27449),rewrite([38831(7),38831(11)])].

39134 x \ (y / x) = (x \ y) / x. [back_rewrite(23244),rewrite([38831(3)])].

39194 (x * y) / x = x * (y / x). [back_rewrite(18522),rewrite([38831(4)])].

39265 a(x,x \ y,x) = 0. [back_rewrite(31237),rewrite([38858(5),9(7)])].

39266 x \ (0 / (x \ y)) = (y * x) \ x. [back_rewrite(31214),rewrite([38858(7),21690(8)])].

39301 0 / a(x,x * y,C) = a(C,x * x,y). [back_rewrite(2670),rewrite([38903(9)])].

39326 x * ((y * x) * (C / x)) = (C * x) * y. [back_rewrite(38479),rewrite([38970(5)])].

39403 C * (C * (((x / C) / y) * (C * y))) = (C / y) * ((C * y) * x). [back_rewrite(30582),rewrite([39083(5),38550(10)])].

39497 C * ((C * ((x \ y) / x)) * x) = x \ (C * (C * y)). [back_rewrite(37670),rewrite([39134(4)])].

39517 x * ((y * (x * C)) / x) = (C * x) * y. [back_rewrite(37672),rewrite([39326(10)])].

39535 a(x,0 / y,y) = 0. [para(23(a,1),38844(a,1,3)),rewrite([18073(2)])].

39537 a(0 / x,y,x) = 0. [para(23(a,1),39000(a,1,3)),rewrite([18073(2)])].

39567 ((x * (C * y)) \ (C * (C * (x * y)))) / C = a(C,C * (C * x),y). [para(564(a,1),64(a,1,2,1)),rewrite([52(6),38660(14),31039(15),21415(8

),21690(12),79(11)])].

39650 (x / C) * (y * (C * (C * C))) = C * (x * (C * y)). [para(564(a,1),372(a,2,2)),rewrite([38550(8),7(9)]),flip(a)].

39806 a(x,y,x) = 0. [para(7(a,1),39265(a,1,2))].

39812 (x / y) * (y * y) = x * y. [back_rewrite(3323),rewrite([39806(1),5(2)]),flip(a)].

39815 a(x * C,y,C * x) = 0. [para(39806(a,1),2667(a,1)),flip(a)].

39817 C * ((C * x) * (y * x)) = C * (x * ((y * C) * x)). [para(39806(a,1),114(a,1,2)),rewrite([10212(6),5(8),38324(12),38790(12)])].

39820 ((x * C) * y) * (C * x) = C * (x * ((y * C) * x)). [back_rewrite(38323),rewrite([39817(12)])].

39829 (x * C) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(13538),rewrite([39817(12)])].

39837 (x * (x / y)) * y = x * x. [para(39535(a,1),95(a,1,2)),rewrite([9(3),5(2),5(3),38831(4)]),flip(a)].

39843 a(0 / (x * C),y,C * x) = 0. [para(1296(a,1),39537(a,1,1))].

39856 0 / (x \ y) = y \ x. [para(23(a,1),38830(a,1,2)),flip(a)].

39858 (x / y) * (C * x) = x * ((C / y) * x). [para(38830(a,1),33(a,1,2,1,2)),rewrite([38831(4)]),flip(a)].

39859 (x / y) / (x \ (0 / y)) = x * x. [para(38830(a,1),417(a,1,2,2))].

39860 (x \ y) \ x = y \ (x * x). [para(417(a,1),38830(a,1,2)),rewrite([39856(6)]),flip(a)].

39864 x \ (0 / y) = 0 / (y * x). [para(22062(a,1),38830(a,1,2))].

39876 (x * y) \ (x / y) = 0 / (y * y). [para(38830(a,1),22214(a,1,1,2)),rewrite([39864(3),37973(5),21690(5)])].

39885 (x * y) \ y = y \ (x \ y). [back_rewrite(39266),rewrite([39856(3)]),flip(a)].

39893 (x / y) * (y * x) = x * x. [back_rewrite(39859),rewrite([39864(4),37973(5),22(4)])].

39903 x / (x * (y * x)) = 0 / (x * y). [back_rewrite(38992),rewrite([39864(6)])].

39922 (x / y) / y = x / (y * y). [back_rewrite(31060),rewrite([39876(3),38831(4)]),flip(a)].

39996 (x * (y * x)) / z = x * (y * (x / z)). [para(38831(a,1),10(a,1)),rewrite([38831(6)])].

39998 (x * x) / y = x * (x / y). [para(38831(a,1),25(a,1)),rewrite([38831(5)])].

40001 (x * (y * (z * (y * x)))) / u = x * (y * (z * (y * (x / u)))). [para(38831(a,1),31(a,1)),rewrite([38831(8)])].

40028 x * ((y * (z / x)) * x) = (x * y) * z. [para(38831(a,1),319(a,1,2,1,2)),rewrite([37973(2),37973(8),22(7)])].

40031 (x * y) / (z * x) = x * ((y / x) / z). [para(38831(a,1),371(a,2,2)),rewrite([39864(4),38831(5)])].

40032 (x / (y * z)) * y = (x / y) * (y / z). [para(38831(a,1),372(a,1,2)),rewrite([23463(3),38831(7)])].

40310 (x / y) * (C * y) = y * ((C / y) * x). [back_rewrite(39018),rewrite([40028(6),371(4)]),flip(a)].

40313 a(x,y / x,C * x) = a(C,x,y). [back_rewrite(28000),rewrite([40028(8),2651(7)]),flip(a)].

40317 x * ((y / x) / (x \ z)) = x * ((y / (z * x)) * x). [back_rewrite(38113),rewrite([40031(4)])].

40378 x \ ((x * y) / z) = (y / x) * (x / z). [back_rewrite(23463),rewrite([40032(6)])].

40423 x \ (((x / y) * (y / z)) * z) = a(x / (y * z),y,z). [back_rewrite(2641),rewrite([40032(3)])].

40424 x * a(x / (y * z),y,z) = ((x / y) * (y / z)) * z. [back_rewrite(67),rewrite([40032(7)])].

40488 (C / x) * ((C * x) * y) = C * (x * ((C / x) * y)). [back_rewrite(39403),rewrite([40310(8),26499(7),21699(9)]),flip(a)].

40495 x * (x * (((C / x) * y) * x)) = (C * (x * y)) * x. [back_rewrite(38220),rewrite([40310(4),38324(5)])].

40496 x * ((C / x) * (y * x)) = y * (x * C). [back_rewrite(31190),rewrite([40310(9),22062(6),21690(6),38250(4),38140(5)])].

40497 (x \ (y * ((C / y) * x))) / C = a(C * C,x,y). [back_rewrite(31075),rewrite([40310(4)])].

40507 ((C / x) * ((x * C) * y)) / C = x * ((C / x) * y). [back_rewrite(27990),rewrite([40310(16),22062(14),21690(13),371(12)])].

40602 x * (C * (x * ((C / x) * y))) = C * (x * (C * y)). [back_rewrite(22173),rewrite([40488(6)])].

40603 ((C / (x * ((C / x) * y))) * (C * y)) / C = a(C / x,C * x,y). [back_rewrite(20962),rewrite([40488(6),31039(11),79(11)])].

40646 ((x * y) \ ((x * (C * (y * C))) / C)) / C = 0 / a(x,y,C * C). [para(251(a,1),38919(a,1,1)),rewrite([27012(11)])].

40649 x \ ((x / y) * ((y / z) * x)) = z \ x. [para(371(a,1),38919(a,1,1)),rewrite([31039(5),31080(5),39856(8)])].

40683 0 / (x * ((y / x) * z)) = (z \ x) / (x * y). [back_rewrite(31061),rewrite([40649(5)]),flip(a)].

40710 (x \ y) * (y \ x) = 0. [para(39856(a,1),9(a,1,1))].

40715 (x \ y) \ z = (y \ x) * z. [para(39856(a,1),21690(a,1,1)),flip(a)].

40787 x / (y \ z) = x * (z \ y). [para(39856(a,1),38831(a,1,2)),flip(a)].

40790 x \ (y * y) = (x \ y) * y. [back_rewrite(39860),rewrite([40715(2)]),flip(a)].

40801 x * ((y / (z * x)) * x) = x * ((y / x) * (z \ x)). [back_rewrite(40317),rewrite([40787(3)]),flip(a)].

40883 (x \ (C * y)) * ((y * C) \ x) = 0. [para(291(a,1),40710(a,1,2))].

41066 a(x / y,y,0 / x) = 0. [para(38831(a,1),38916(a,1,1,2)),rewrite([37973(3),4(3)])].

41292 C * ((C * x) * (y * (y * x))) = C * (x * (y * (C * (y * x)))). [para(39815(a,1),94(a,1,2)),rewrite([24555(7),5(9),39820(14),13(11,R),1

24(12)])].

41331 (x * C) * (y * (y * (C * x))) = C * (x * (y * (C * (y * x)))). [back_rewrite(24555),rewrite([41292(14)])].

41870 (x * C) * (y * (C * C)) = C * (C * (x * (y * C))). [para(577(a,1),76(a,2)),rewrite([38550(7)]),flip(a)].

42082 (x / (y * y)) * (y * (y / x)) = 0. [para(41066(a,1),94(a,1,2)),rewrite([38831(5),5(7),9(9),38831(8),21(6)])].

42247 x / (y * (z / u)) = x * ((u / z) / y). [para(37973(a,1),37973(a,1,2))].

42459 (x * (y * y)) / y = x * y. [para(38133(a,1),8(a,1,1))].

42517 x / (y * (x * x)) = 0 / (y * x). [para(38133(a,1),22062(a,1,2))].

42549 (x / (y * C)) * (y * (C * C)) = y * ((C / y) * x). [para(38133(a,1),405(a,2,2)),rewrite([13(7,R),31039(8),79(8),40507(8)]),flip(a)].

42656 0 / ((x \ y) * x) = x \ (y \ x). [para(38149(a,1),38830(a,1,2)),rewrite([39885(2)]),flip(a)].

42673 (x / C) * (y * (x * C)) = C * ((x / C) * (y * x)). [para(38235(a,1),246(a,2,2,2)),rewrite([79(4),79(6),1654(9),79(8)]),flip(a)].

42788 (x * (x * (y * x))) * z = x * ((x * y) * (x * z)). [para(38324(a,1),10(a,1,1,2))].

42801 0 / a(x,y,x * z) = a(x * y,x,z). [para(38324(a,1),64(a,1,2,1)),rewrite([10(6),38914(7)])].

42834 C * ((x / C) / (x * ((y * C) * x))) = 0 / ((x * C) * y). [para(38324(a,1),22406(a,1,2)),rewrite([39829(8),39083(9)])].

42918 (x \ (y \ x)) / x = 0 / (y * x). [para(38235(a,1),38858(a,2,2)),rewrite([42656(4)])].

43149 (x / (x * y)) * (x * (y / x)) = 0. [para(39001(a,1),22566(a,1,1)),rewrite([37973(4)])].

43334 (x / y) * (y * C) = y * ((C / y) * x). [para(39069(a,1),56(a,1,1)),rewrite([13(8,R),40028(10),371(8)])].

43351 x * (C * ((y / x) * (C * (x * z)))) = (C * (x * (C * y))) * z. [para(39069(a,1),458(a,2,2,2,1)),rewrite([13(5,R),40028(7),371(5),40602

(7)]),flip(a)].

43376 x \ (C * (x * y)) = x * ((C / x) * y). [back_rewrite(26625),rewrite([43334(8)])].

43428 (C * ((x \ y) / x)) * x = (C / x) * y. [para(39134(a,1),559(a,2,1,2)),rewrite([40310(4),7(5)]),flip(a)].

43437 x \ (C * (C * y)) = C * ((C / x) * y). [back_rewrite(39497),rewrite([43428(6)]),flip(a)].

43445 (C / (x * (C * y))) * (x * y) = a(C,C * (C * x),y). [back_rewrite(39567),rewrite([43437(9),39194(11),49(11)])].

43479 x \ (y * (C * C)) = C * ((C / x) * y). [back_rewrite(20478),rewrite([43437(5)]),flip(a)].

43498 (C / x) * (y * C) = C * (C * (x \ y)). [back_rewrite(29799),rewrite([43479(8),21415(6),21690(5)]),flip(a)].

43564 (x * y) / (y * y) = x / y. [para(39812(a,1),8(a,1,1))].

43720 (x * (C * y)) / C = C * ((x / C) * y). [para(39837(a,1),408(a,1,2,1)),rewrite([13(4,R),25(8),43437(9),42247(7),39922(6),644(7),42247(1

0),39922(9),21744(15),13283(16),13277(16),6(9)]),flip(a)].

43779 ((x * y) \ ((C * x) * y)) / C = 0 / a(x,y,C * C). [back_rewrite(40646),rewrite([43720(8),380(8)])].

43780 C * (((x \ y) / (y * C)) * x) = a(C / y,C * y,x). [back_rewrite(40603),rewrite([43720(11),39001(9),21415(9),40683(7)])].

43851 x \ ((C / x) * (x * y)) = C * (x \ y). [back_rewrite(26798),rewrite([43720(12),39001(10),21415(10),21690(9)])].

43857 (C * x) * (x * y) = x * (x * (C * y)). [back_rewrite(26684),rewrite([43720(8),30(8)])].

43867 (x * (y * (C * C))) / C = (C * x) * y. [back_rewrite(16476),rewrite([43720(7),380(7)]),flip(a)].

43885 (x * (y * (y * C))) / C = C * ((x / C) * (y * y)). [back_rewrite(9932),rewrite([43720(6)]),flip(a)].

43886 (x * (y * C)) / C = C * ((x / C) * y). [back_rewrite(1546),rewrite([43720(5)]),flip(a)].

43942 (x \ (y \ (x * (((C / x) * y) * x)))) / C = a(x,y,x * (C * C)). [back_rewrite(31174),rewrite([43867(8),38250(5),43376(4),38324(5)])].

43979 ((C * x) * y) * (z / C) = C * ((x * (y / C)) * z). [back_rewrite(27932),rewrite([43886(8),39922(6),14703(8)]),flip(a)].

44010 C * ((x / C) * (y * x)) = C * (x * ((y / C) * x)). [back_rewrite(38302),rewrite([43979(6),38324(5)]),flip(a)].

44015 (x / C) * (y * (x * C)) = C * (x * ((y / C) * x)). [back_rewrite(42673),rewrite([44010(12)])].

44020 C * (x * (y / (C * C))) = (x / C) * y. [back_rewrite(30602),rewrite([44010(9),38942(7)])].

44545 x * ((C / x) * (y \ x)) = y \ (C * x). [para(39864(a,1),33(a,1,2,1,2)),rewrite([38831(5),40801(5),21690(10)])].

45046 (C * (x * (y * (C * C)))) * z = C * (((C * x) * y) * (C * z)). [para(681(a,1),30(a,2,1)),rewrite([43720(8),30(8)]),flip(a)].

45047 (C * (x * (C * (C * y)))) * z = C * (((C * x) * y) * (C * z)). [para(681(a,2),30(a,2,1)),rewrite([43867(8)]),flip(a)].

45203 (C * (x * (C * (y * C)))) * z = C * (((C * x) * y) * (C * z)). [back_rewrite(3699),rewrite([45046(16)])].

45211 C * (x / (C * (C * (C * C)))) = x / (C * (C * C)). [para(39922(a,1),644(a,1,2)),rewrite([99(8,R),13(7,R),14402(16)])].

45226 (x \ y) / (y * y) = 0 / (y * x). [para(22209(a,1),39922(a,1,1)),rewrite([38858(3)]),flip(a)].

45975 (x / C) * (C * y) = C * (x * (y / C)). [para(386(a,1),43564(a,2)),rewrite([13(5,R),25300(9),386(6),43720(8),39922(6),14703(8)]),flip(a

)].

46115 ((C * x) * y) / C = C * (x * (y / C)). [back_rewrite(386),rewrite([45975(10)])].

46507 C * ((C / x) * (y * (x / C))) = C * ((x \ y) * x). [para(39843(a,1),113(a,1,2)),rewrite([38547(9),21690(10),43437(8),22062(5),21690(5)

,38250(3),5(6),21690(11),30504(9),45975(12),38311(11)]),flip(a)].

46582 (x * (y * (C * C))) * (C * z) = C * (C * (((C * x) * y) * z)). [para(703(a,1),372(a,1,2,1)),rewrite([52(11),7(12),39194(17),43720(16),

45975(15),38295(16),38550(16)])].

46584 (x * (C * (C * y))) * (C * z) = C * (C * (((C * x) * y) * z)). [para(703(a,2),372(a,1,2,1)),rewrite([52(11),7(12),39194(17),43867(16),

38550(16)])].

46918 (x / y) * (z * (C * C)) = C * ((C * (x / y)) * z). [para(707(a,1),22584(a,2)),rewrite([43437(6),37973(4)]),flip(a)].

46919 (x / y) * (C * (C * z)) = C * ((C * (x / y)) * z). [para(707(a,2),22584(a,2)),rewrite([43479(6),37973(4)]),flip(a)].

47053 C * ((C * (x / (y * C))) * y) = y * ((C / y) * x). [back_rewrite(42549),rewrite([46918(8)])].

48543 (C / x) * (x * y) = (y * x) * (C / x). [para(22062(a,1),733(a,1,1)),rewrite([22062(10),38831(9),39194(7),39517(7),21690(6),38261(4),21

066(2),22062(10),38831(9)])].

50774 a(0 / (C * C),x,y) = a(C,x,C * y). [para(844(a,1),104(a,1,2)),rewrite([13(5,R),38550(10),43437(11),21415(8),21690(8),31039(6),40032(5)

,31092(7)])].

50796 C * (x \ ((x / y) * (y / C))) = a(C,x,C * y). [back_rewrite(31092),rewrite([50774(13)])].

51648 (x / C) * (y * (x / C)) = x * ((y / C) * (x / C)). [para(39812(a,1),852(a,1,1,2,2)),rewrite([44015(6),25300(10),39996(7),38927(9),1498

0(10)]),flip(a)].

51671 (x / C) * (y * x) = x * ((y / C) * x). [back_rewrite(1654),rewrite([51648(7),10202(8)]),flip(a)].

52404 a(C,C * (C * (C * x)),y) = a(C,x,y). [para(872(a,1),64(a,1,2,1)),rewrite([52(8),38550(7),3846(18),10(17),43437(19),21415(12),21690(16)

,27012(14),43720(11),45975(10),38295(11),64(8),49(6)]),flip(a)].

53211 (x * y) / (C * C) = (x / C) * (y / C). [para(922(a,1),405(a,1,2,1)),rewrite([21(7),4(8),49(7),410(5),79(4),39134(5),79(3),39922(5),399

22(13),99(12,R),13(11,R),25(17),46919(18),45211(16),26416(14)])].

53216 C * ((x / C) * (y / C)) = (x * y) / C. [para(922(a,1),38235(a,2)),rewrite([22584(11),39998(8),38550(11),922(16),39194(12),49(12),38311

(11),46507(12),13024(9),38235(3)]),flip(a)].

53255 (x * (x / (C * C))) * y = x * ((x / C) * (y / C)). [back_rewrite(13283),rewrite([53211(11)])].

53256 (x * (x * y)) / C = x * ((x / C) * y). [back_rewrite(13277),rewrite([53211(7),39194(6),49(6)]),flip(a)].

53262 (C * x) * (y / (C * C)) = (x * y) / C. [back_rewrite(922),rewrite([53216(14)])].

53732 a(x,y * C,C * C) = a(x,C,y * (C * C)). [para(99(a,1),38598(a,1,3)),flip(a)].

53734 a(x,C * y,C * C) = a(x,C,y * (C * C)). [para(249(a,1),38598(a,1,3)),flip(a)].

53755 a(x,y * (C * z),C * C) = a(x,C,C * (y * (C * z))). [para(562(a,1),38598(a,1,3)),rewrite([242(6),79(10),49(11)]),flip(a)].

54437 (C / x) / (C * y) = C / (y * (C * x)). [para(389(a,1),38912(a,1,1)),rewrite([25(4),52(5),40790(9),21066(7),21415(7),13(7,R),38831(7),2

5(14),46919(15),644(13),40683(12),21066(7)]),flip(a)].

54453 a(C * C,x,y) = a(C * x,C,y). [para(844(a,1),38912(a,1,1)),rewrite([38550(5),13(10,R),31039(11),21415(6),21690(8),31039(6),43334(5),79(

7),40497(7),42801(10)])].

54456 0 / a(C,x,y * C) = a(C * C,x,y). [para(846(a,1),38912(a,1,1)),rewrite([38552(5),13(10,R),31039(11),21415(6),21690(8),31039(6),40310(5)

,79(7),40497(7)]),flip(a)].

54691 C * ((x / C) / (x * (y * x))) = C / (x * (C * y)). [para(388(a,1),39903(a,2,2)),rewrite([45975(9),38550(10),10202(9),39083(7),40683(14

),21066(9),54437(12)])].

54770 C / (x * (C * (y * C))) = 0 / ((x * C) * y). [back_rewrite(42834),rewrite([54691(9)])].

54827 a(C,x,y * x) = a(x,y,C * x). [para(8(a,1),40313(a,1,2)),flip(a)].

54828 a(x,y / x,x * C) = a(C,x,y). [para(13(a,1),40313(a,1,3))].

55159 C * (C * ((x / C) * y)) = x * (C * y). [para(42082(a,1),813(a,2,2,2,2,2,2)),rewrite([644(13),49(10),13024(9),39996(5),10202(6),21417(5

),8(3),5(12),13024(13),43886(9)]),flip(a)].

55264 (x * y) \ (y * z) = y \ ((x \ y) * z). [para(42918(a,1),372(a,2,1)),rewrite([6(3),21690(8)]),flip(a)].

55427 C * (C * ((C * x) \ y)) = x \ (C * y). [para(45226(a,1),403(a,2,2,1)),rewrite([21066(5),25(6),410(10),79(9),39134(10),79(8),39922(10),

53262(11),21744(5),39194(7),49(7),21690(11),25(10)]),flip(a)].

55956 a(x \ y,x,C * (x \ y)) = a(C,x \ y,y). [para(6(a,1),54827(a,1,3)),flip(a)].

55957 a(C,x / C,y * (x / C)) = a(x / C,y,x). [para(6(a,1),54827(a,2,3)),rewrite([79(3),79(5),79(9)])].

55958 a(C,x,y * x) = a(x,y,x * C). [para(13(a,1),54827(a,2,3))].

56080 a(x,0 / y,x * C) = a(C,x,y \ x). [para(22209(a,1),54828(a,1,2))].

56082 a(x,x / (x * y),x * C) = a(C,x,x / y). [para(39001(a,1),54828(a,1,2))].

56127 a(C,x,(y * C) * x) = a(x,C * y,x * C). [para(76(a,1),55958(a,1,3))].

56136 a(C,x,x * (y \ x)) = a(x,x / y,x * C). [para(38961(a,1),55958(a,1,3))].

56209 (C / x) * (C * y) = C * (C * (x \ y)). [para(33993(a,1),844(a,1,2)),rewrite([38552(10),46919(11),49(5),26498(6),5(7),45975(13),39001(1

1),21415(11),38831(10),22062(8),38831(9)]),flip(a)].

56211 C * (C * (x \ (y * (x / C)))) = ((C / x) * y) * x. [back_rewrite(38320),rewrite([56209(8)])].

56219 (C / x) * (x * ((x / C) * y)) = C * (x * (y / C)). [para(33994(a,1),844(a,1,2)),rewrite([53255(10),8(8),5(9),22359(15),45975(12)])].

56220 (x / C) * (y * C) = C * (x * (y / C)). [para(33994(a,1),846(a,1,2)),rewrite([53255(10),39194(8),49(8),56219(7),5(7),22359(13)]),flip(a

)].

59738 C * (x \ (y * (x / C))) = C * (((x \ y) / C) * x). [para(43149(a,1),1437(a,1,2,2,2)),rewrite([21415(5),21415(8),38831(7),37973(6),5(8)

,21690(7),21415(11),21690(10),388(12)])].

59742 ((C / x) * y) * x = (x \ y) * (C * x). [back_rewrite(56211),rewrite([59738(7),55159(8)]),flip(a)].

59743 a(x,y,x * (C * C)) = a(C * C,x,y). [back_rewrite(43942),rewrite([59742(4),38130(5),43376(4),40497(7)]),flip(a)].

59746 (C * (x * y)) * x = x * (C * (y * x)). [back_rewrite(40495),rewrite([59742(4),38130(5)]),flip(a)].

60059 (C * (x / (C * y))) * y = y * (C * ((C * y) \ x)). [para(1446(a,1),686(a,1,1)),rewrite([53732(13),40424(14),42517(8),38831(7),46918(10

),47053(10),26499(5),27919(19),40032(15),44020(16),39059(11)]),flip(a)].

60067 (C * (x / (y * C))) * y = y * (C * ((C * y) \ x)). [back_rewrite(3044),rewrite([60059(6)]),flip(a)].

60068 x \ (y * (C * ((C * y) \ x))) = a(x / (y * C),C,y). [back_rewrite(2739),rewrite([60067(6)])].

60072 (C * x) \ (y * ((C / y) * x)) = a(x,0 / y,C * y). [para(1447(a,1),103(a,1,2)),rewrite([22062(6),38831(5),40310(6),22062(11)])].

67379 a(x / (y * C),C,y) = 0 / a(x,y,C * x). [para(1925(a,1),38919(a,1,1)),rewrite([31098(9),43376(7),40496(7),31039(6),56220(5),43376(6),26

499(5),60068(7)])].

69592 C / (x * (C * (C * y))) = 0 / ((x * C) * y). [para(76(a,1),2078(a,2,2,2)),rewrite([13(12,R),54770(14)])].

69615 (C * ((x / C) * y)) \ z = (C / (x * (y * C))) * z. [para(2078(a,1),22584(a,2,1)),rewrite([43720(5)])].

71146 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(2507(a,1),372(a,1,2))].

71148 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(2507(a,1),405(a,1,2)),rewrite([8(7),31039(6),79(6),22062(10),2507(13),21690(1

4),71146(12)])].

71197 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(29360),rewrite([71148(6),43851(7)]),flip(a)].

71198 C * ((C / x) * (x * (y / C))) = (C / x) * (x * y). [back_rewrite(26731),rewrite([71197(8),43720(6),71146(7)])].

71201 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(71148),rewrite([71197(6),40378(5)]),flip(a)].

71218 x * (C * (x \ ((x \ y) / C))) = C * (x \ (y / C)). [back_rewrite(31323),rewrite([71197(6),71197(12)])].

71223 (C * (x / y)) * y = (C / y) * (y * x). [back_rewrite(71198),rewrite([71201(7),38295(8)])].

71224 x \ (C * ((x / C) * y)) = C * ((y / x) * (x / C)). [back_rewrite(71146),rewrite([71201(12)])].

71229 (x * C) \ ((C / y) * (y * x)) = a(C,x / y,y). [back_rewrite(2944),rewrite([71223(6)])].

71266 a(C * x,C * y,0 / y) = a(C * C,y,y \ x). [para(2511(a,1),104(a,1,2)),rewrite([13(4,R),26405(10),21066(7),21744(9),28789(11)])].

71277 a(x / (y * C),C,y) = a(C,y,y \ (x / C)). [para(9(a,1),2525(a,1,1)),rewrite([26499(5),60068(7)])].

71278 a(x,0 / y,C * y) = a(C,y,y \ x). [para(13(a,2),2525(a,1,1)),rewrite([60072(7)])].

71279 a(C,x * x,x \ (x \ y)) = a(y,C * x,0 / x). [para(25(a,1),2525(a,1,2)),rewrite([26498(7),28795(7),410(9)]),flip(a)].

71287 a(C,0 / x,x * y) = a(C,y / x,x). [para(21690(a,1),2525(a,1,2)),rewrite([37973(6),22(5),38261(6),21066(4),71229(7),22584(9),22(8)]),fli

p(a)].

71300 a(C,x,C * (C * (y * x))) = a(C,x,C * y). [para(960(a,1),2525(a,1,2)),rewrite([9(5),38552(5),13(8,R),9(15),38666(15),30(18),38547(16),4

3437(17),21415(11),21690(14),31039(12),30603(11),22062(3),21690(7),40378(5),50796(7),9(10),38552(10),7(12)]),flip(a)].

71301 a(x,C / x,y) * a(C,x,x \ y) = 0. [para(2525(a,1),40883(a,1,2)),rewrite([21422(7)])].

71313 a(C,x,((C * x) \ (y / C)) / C) = a(C,x,x \ y). [para(2045(a,1),2525(a,1,2,2,1)),rewrite([22398(16),21690(15),31098(13),79(11),79(13),3

88(14),39194(9),39194(8),49(8),38260(9),21066(5),26499(8),21699(10),2525(7),27012(17),52404(18)]),flip(a)].

71314 a(C,x,x \ (y / C)) = 0 / a(y,x,C * y). [back_rewrite(67379),rewrite([71277(5)])].

71430 C * (x * (C * (x \ (y / C)))) = x * (C * (x \ y)). [para(10(a,1),2563(a,2)),rewrite([31098(9),79(8),86(10),71218(8),20613(14),21690(13

),410(11),6(12)])].

71431 (C / x) * (x * y) = x * (C * (x \ y)). [para(25(a,1),2563(a,2)),rewrite([43857(6),38836(12),27098(13),388(14),53256(8),99(7,R),13(6,R)

,49(6),371(9),8(4),71430(8),38836(14),21415(15),21690(14),31098(12),79(11),38260(13),21066(8),26499(12),29361(13),38550(12),22129(12)]),flip(

a)].

71436 a(x,C * y,0 / y) = a(C,x / y,y). [back_rewrite(71229),rewrite([71431(6),28795(7)])].

71442 (x * y) * (C / y) = y * (C * (y \ x)). [back_rewrite(48543),rewrite([71431(4)]),flip(a)].

71450 a(C,x * x,x \ (x \ y)) = a(C,y / x,x). [back_rewrite(71279),rewrite([71436(10)])].

71451 a(C * C,x,x \ y) = a(C,(C * y) / x,x). [back_rewrite(71266),rewrite([71436(7)]),flip(a)].

71454 (x * C) \ (y * (C * (y \ x))) = a(C,x / y,y). [back_rewrite(28795),rewrite([71436(12)])].

71457 a(C,x / y,y) = a(x,y,C / y). [back_rewrite(21421),rewrite([71442(6),71454(7)])].

71461 a(x * y,y,C / y) = a(C,x,y). [para(8(a,1),71457(a,1,2)),flip(a)].

71464 a(x * (C * y),y * C,0 / y) = a(C,x,y * C). [para(836(a,1),71457(a,1,2)),rewrite([22062(13)]),flip(a)].

71465 a(C,x / (C * y),C * y) = a(C,x / y,y). [para(1296(a,1),71457(a,2,3)),rewrite([22062(13),71436(12)])].

71473 a(x,y * C,0 / y) = a(C,x / y,y). [para(71457(a,2),2713(a,1)),rewrite([71465(7),21415(9)]),flip(a)].

71478 a(x \ y,y,C / y) = a(C,0 / x,y). [para(22209(a,1),71457(a,1,2)),flip(a)].

71489 a(x / y,x,C / x) = a(C,x / (x * y),x). [para(39001(a,1),71457(a,1,2)),flip(a)].

71506 a(C,x * (C * (x \ y)),x) = a(C,y,x * C). [back_rewrite(71464),rewrite([71473(8),39063(5)])].

71633 a(C,x,(x \ y) / x) = a(C,y,0 / x). [para(38831(a,1),71461(a,1,1)),rewrite([37973(7),22(6),71278(6),39134(3)])].

72052 (C / (x * (y * C))) * (x * y) = a(C,x / C,y). [para(13(a,1),2638(a,1,1)),rewrite([79(2),13(5,R),69615(7),79(10)])].

72056 a(C / x,C * x,y) = a(x,C / x,y * C). [para(99(a,1),2638(a,1,2)),rewrite([21066(2),43498(5),43479(11),69592(9),371(6),40683(7),43780(7)

,21066(7)])].

72058 x \ (y * (C * (y \ (x / C)))) = a(x / C,y,x). [para(53(a,1),2638(a,1,1)),rewrite([79(2),79(4),13(6,R),49(6),51671(4),79(6),31039(9),22

062(4),37973(4),4(4),71431(6),79(10),79(12),55957(14)])].

72065 a(C,(C * x) / y,y) = 0 / a(x,y,C * C). [para(245(a,2),2638(a,1,1)),rewrite([38235(5),27012(11),43867(8),43779(7),59743(12),71451(11)])

,flip(a)].

72085 a(C,x / C,C * (C * y)) = 0 / a(x,y,C * C). [para(681(a,1),2638(a,1,1)),rewrite([79(3),46918(8),49(6),27012(11),43720(8),45975(7),38295

(8),43779(7),79(9)]),flip(a)].

72096 x / a(y,z,z \ u) = x * a(z,z \ y,u). [para(2638(a,1),40787(a,2,2)),rewrite([38466(5)])].

72137 a(x,C / x,y * C) = a(x,C,C * (x \ y)). [para(38598(a,2),2638(a,2)),rewrite([99(5,R),13(4,R),43479(11),69592(9),371(6),40683(7),43780(7

),72056(5)])].

72159 a(C,x,(x \ y) * x) = 0 / a(y,x,C). [para(54827(a,2),2638(a,2)),rewrite([38130(5),38903(7)]),flip(a)].

72160 (C * (x * y)) \ (x * (y * C)) = 0 / a(x,y,C). [para(55958(a,2),2638(a,2)),rewrite([38187(5),13(3,R),72159(11)])].

72181 0 / a(x,C,y * (C * C)) = a(C,x / C,y). [para(1599(a,1),2638(a,1,1)),rewrite([79(3),45975(10),42459(8),27012(15),43720(12),46919(11),49

(9),43437(9),72052(8),39194(8),49(8),79(7),72085(14),53734(11)]),flip(a)].

72266 a(C,x,(C * x) \ y) = a(C,x,(x * C) \ y). [para(13(a,1),2639(a,1,1,2,2,1)),rewrite([2691(7)]),flip(a)].

72268 a(C,x / C,x \ y) = a(C,x,(x * C) \ y). [para(49(a,1),2639(a,1,1,2,2,1)),rewrite([31037(5),2691(7),49(12)]),flip(a)].

72305 a(x / (y * z),y,z) = a(x / y,y / z,z). [para(9(a,1),2640(a,1,1)),rewrite([40423(5)])].

72452 a(C,C * (C * (x * (C * C))),y) = a(x,C * y,C). [para(243(a,2),2643(a,1,2,1)),rewrite([25(8),25(10),25(20),45047(22),25(18),42788(21),3

8550(20),43437(23),69592(14),25(11),46919(20),38831(15),21415(13),21690(15),55427(15),2652(11),25(13)]),flip(a)].

72454 a(x,C,y * (C * C)) = a(x,C,y / C). [para(394(a,1),2643(a,1,1,2)),rewrite([99(6,R),13(5,R),13(12,R),49(12),99(14,R),13(13,R),43437(15),

69592(10),38547(7),21690(12),27012(10),43720(7),2661(8),49(8),13(9,R),49(9),53734(10)]),flip(a)].

72487 0 / a(x,C,y / C) = a(C,x / C,y). [back_rewrite(72181),rewrite([72454(7)])].

72493 a(x,C * y,C * C) = a(x,C,y / C). [back_rewrite(53734),rewrite([72454(12)])].

72571 a(C * (C * (x * (C * C))),y,z) = a(C * x,y,z). [para(107(a,2),2644(a,1,1)),rewrite([25(8),25(10),25(17),25(19),52(20),46584(19),43437(

21),21415(13),21690(18),31039(16),69592(10),21690(13),2664(11),79(6),49(7),25(11)]),flip(a)].

72578 a(C * x,C * C,y) = a(C,C * (C * x),y). [para(394(a,1),2644(a,1,2,1)),rewrite([25(8),46919(10),49(6),99(13,R),13(12,R),52(14),38550(13)

,43437(15),21415(10),21690(12),31039(10),43445(9),79(9),49(10),13(11,R),49(11)]),flip(a)].

72580 a(0 / C,x,y) = a(C * C,x,y). [para(564(a,2),2644(a,2,1)),rewrite([25(9),25(11),25(19),25(21),45047(22),25(18),46584(21),25(18),52(19),

43437(23),69592(14),25(11),46919(20),38831(15),69592(13),25(10),21690(15),27012(13),43720(10),31039(11),22353(10),79(8),39922(10),644(11),49(

8),72571(14)])].

72684 (C / (x * y)) * ((x / C) * y) = a(C * C,x,y). [back_rewrite(22353),rewrite([72580(11)])].

72726 a(x,C,C * (C * (C * y))) = a(x,C,y). [para(249(a,1),2646(a,1,2,1,2)),rewrite([13(5,R),13(7,R),99(18,R),13(17,R),43437(19),69592(12),38

547(9),21690(16),27012(14),43867(11),2653(8),49(6),53755(10)]),flip(a)].

72733 a(x,C,(C * y) * x) = a(C * C,x,y). [para(516(a,2),2646(a,1,2,1)),rewrite([13(8,R),13(10,R),99(24,R),13(23,R),43437(25),69592(15),38547

(12),21690(22),31039(20),22403(12),21690(17),31172(15),40001(10),49(7),7(7),43376(6),40497(9),79(7),49(8),72493(15),43867(12)]),flip(a)].

72739 a(x,C,C * (C * y)) = a(x,C,y / C). [para(872(a,1),2646(a,1,2,1,2)),rewrite([13(9,R),13(11,R),99(26,R),13(25,R),43437(27),69592(16),385

47(13),21690(24),27012(22),43720(19),39650(18),43437(16),69592(11),38547(8),21690(13),27012(11),43720(8),2661(9),49(9),49(8),53755(16),72726(

16)]),flip(a)].

72840 a(C,C * (C * x),C * y) = 0 / a(x,C,y). [para(249(a,1),2648(a,1,2,2,2)),rewrite([25(8),38550(9),41870(17),43437(19),21415(12),21690(16)

,31039(14),69592(9),21690(11),38904(9),39864(7),13(6,R),38831(8),21415(6),72578(12)]),flip(a)].

72859 a(x,C * C,C * (C * (C * y))) = a(C,x * C,y). [para(913(a,2),2648(a,2,1)),rewrite([25(16),489(17),13(30,R),489(33),43437(35),69592(20),

25(17),46919(32),38831(21),21415(19),21690(27),55427(27),2652(23),37890(10),72578(26),52404(26),52404(20)])].

72860 a(C,C * (C * x),y) = a(C,x / C,y). [para(983(a,1),2648(a,1,2,2,2)),rewrite([25(18),38550(19),38547(37),43437(39),21415(22),21690(36),3

1039(34),69592(19),38547(16),21690(31),27012(29),43720(26),46919(25),49(17),43437(23),69592(14),38547(11),21690(20),27012(18),43720(15),46918

(14),49(12),43437(12),43445(11),39194(13),49(13),39194(12),49(12),79(9),49(10),72859(24),13(11,R),72840(18),72739(13),72487(12)])].

72865 a(C,x,C * y) = a(C,x,y). [para(1719(a,1),2648(a,2,1)),rewrite([25(14),46584(15),25(10),46584(13),25(10),52(11),38550(10),13(26,R),4658

4(29),25(26),45047(27),25(23),38550(26),43437(31),69592(18),25(15),46919(28),38831(19),69592(17),25(14),46919(23),38831(18),69592(16),25(13),

21690(18),27012(16),46115(13),31039(14),21415(9),21690(11),31039(9),79(10),39922(12),644(13),49(10),50796(7),72578(18),72860(18),39194(15),43

885(14),99(13,R),13(12,R),49(12),72860(12),39194(9),49(9)])].

72904 a(C,x / C,y) = 0 / a(x,C,y). [back_rewrite(72840),rewrite([72865(8),72860(6)])].

72911 a(C,x * C,y) = a(x,C * y,C). [back_rewrite(72452),rewrite([72860(10),42459(7)])].

72924 (C / (x * (C * y))) * (x * y) = 0 / a(x,C,y). [back_rewrite(43445),rewrite([72860(13),72904(11)])].

72930 0 / a(x,y,C * C) = 0 / a(x,C,y). [back_rewrite(72085),rewrite([72865(8),72865(6),72904(4)]),flip(a)].

72956 a(C,x / (C * y),y) = a(C,x / y,y). [back_rewrite(71465),rewrite([72865(7)])].

72958 a(C,x,y * x) = a(C,x,y). [back_rewrite(71300),rewrite([72865(7),72865(5),72865(7)])].

73026 C * (x \ ((x / y) * (y / C))) = a(C,x,y). [back_rewrite(50796),rewrite([72865(11)])].

73080 0 / a(x,C,y / C) = 0 / a(x,C,y). [back_rewrite(72487),rewrite([72904(10)])].

73081 a(C,x,(x * C) \ y) = 0 / a(x,C,x \ y). [back_rewrite(72268),rewrite([72904(5)]),flip(a)].

73098 a(x / C,y,x) = 0 / a(x,C,y). [back_rewrite(55957),rewrite([72958(7),72904(4)]),flip(a)].

73136 a(C,(C * x) / y,y) = 0 / a(x,C,y). [back_rewrite(72065),rewrite([72930(11)])].

73137 ((x * y) \ ((C * x) * y)) / C = 0 / a(x,C,y). [back_rewrite(43779),rewrite([72930(13)])].

73148 a(x,C * y,x * C) = a(C,x,y * C). [back_rewrite(56127),rewrite([72958(5)]),flip(a)].

73161 a(x,y,x * C) = a(C,x,y). [back_rewrite(55958),rewrite([72958(3)]),flip(a)].

73162 a(x,y,C * x) = a(C,x,y). [back_rewrite(54827),rewrite([72958(3)]),flip(a)].

73163 a(C,x,(C * x) \ y) = 0 / a(x,C,x \ y). [back_rewrite(72266),rewrite([73081(10)])].

73167 a(C * C,x,x \ y) = 0 / a(y,C,x). [back_rewrite(71451),rewrite([73136(10)])].

73176 a(C,x,y * C) = a(C,x,y). [back_rewrite(73148),rewrite([73161(5),72865(4)]),flip(a)].

73181 a(C,x,x * (y \ x)) = a(C,x,x / y). [back_rewrite(56136),rewrite([73161(8)])].

73187 a(C,x,x / (x * y)) = a(C,x,x / y). [back_rewrite(56082),rewrite([73161(5)])].

73188 a(C,x,y \ x) = a(C,x,0 / y). [back_rewrite(56080),rewrite([73161(5)]),flip(a)].

73191 a(C,x,y / x) = a(C,x,y). [back_rewrite(54828),rewrite([73161(4)])].

73192 a(C,x,x \ (y / C)) = 0 / a(C,y,x). [back_rewrite(71314),rewrite([73162(9)])].

73195 a(C,x \ y,y) = a(C,x \ y,x). [back_rewrite(55956),rewrite([73162(5)]),flip(a)].

73218 a(C,x * (C * (x \ y)),x) = a(C,y,x). [back_rewrite(71506),rewrite([73176(10)])].

73221 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(54456),rewrite([73176(5)]),flip(a)].

73223 a(C,x,x \ y) = a(C,y,0 / x). [back_rewrite(71633),rewrite([73191(4)])].

73229 a(x,C / x,y) = 0 / a(y,C,x). [back_rewrite(73167),rewrite([73221(5),72096(5),21066(3),4(5)])].

73231 a(x,C,(C * y) * x) = 0 / a(C,x,y). [back_rewrite(72733),rewrite([73221(9)])].

73237 (C / (x * y)) * ((x / C) * y) = 0 / a(C,x,y). [back_rewrite(72684),rewrite([73221(11)])].

73295 a(C * x,C,y) = 0 / a(C,x,y). [back_rewrite(54453),rewrite([73221(4)]),flip(a)].

73298 (x \ (y * ((C / y) * x))) / C = 0 / a(C,x,y). [back_rewrite(40497),rewrite([73221(11)])].

73448 C * (x \ (y \ ((y / C) * x))) = a(C,x * y,x). [para(12(a,1),2651(a,1,1,2)),rewrite([13(9,R),38550(12),38324(10),43437(13),21415(9),216

90(10),31039(8),22062(5),21690(7),31039(5),72865(12)])].

73449 ((C * x) * y) \ (x * (C * y)) = 0 / a(x,C,y). [para(30(a,1),2651(a,1,1)),rewrite([13(7,R),49(7),72865(13),72904(11)])].

73457 a(C,C * x,y / C) = a(x,y,C). [para(388(a,1),2651(a,1,1,2)),rewrite([55159(7),13(7,R),388(10),39194(8),49(8),2652(7)]),flip(a)].

73469 0 / a(x,y * x,C) = a(C,x * y,x). [para(38324(a,1),2651(a,1,1,2)),rewrite([13(7,R),59746(8),38903(9)])].

73477 a(C,x,y * (y * (C * x))) = a(C,x * y,x). [para(1152(a,1),2651(a,1,1,2)),rewrite([38547(18),43437(19),21415(12),21690(16),31039(14),224

21(8),21690(13),31039(11),22064(6),21690(10),410(8),79(7),43720(7),7(8),73448(7),72865(11)]),flip(a)].

73483 a(C,x * y,x) = 0 / a(C,x,y). [para(1927(a,2),2651(a,1,1,2)),rewrite([41331(14),31039(15),21415(8),21690(12),31039(10),22064(4),21690(9

),410(7),7(6),43376(5),79(7),73298(7),73477(10)]),flip(a)].

73485 a(C,x * C,y / C) = a(x,y,C). [para(2507(a,1),2651(a,1,1,2)),rewrite([55159(7),13(7,R),10(10),49(8),2652(7)]),flip(a)].

73555 a(C * x,y,C) = 0 / a(x,C,y). [para(76(a,1),2652(a,1,1)),rewrite([38547(5),31039(11),21415(6),21690(8),79(7),73137(7)]),flip(a)].

73563 a(x / (C * y),y,C) = a(x / y,y / C,C). [para(838(a,1),2652(a,1,1)),rewrite([40032(5),26983(7),72305(10)])].

73564 a(x / (y * C),C * y,C) = a(y,C / y,x). [para(838(a,1),2652(a,1,2,2)),rewrite([46919(8),60067(7),21699(8),21422(7)]),flip(a)].

73568 a(x,(y / x) * (C * (x * C)),C) = 0 / a(x,C,y). [para(402(a,1),2652(a,1,2,2)),rewrite([43351(9),13(7,R),43437(15),21415(10),21690(12),3

1039(10),72924(9),39864(7),13(6,R),38831(8),21415(6)]),flip(a)].

73575 a(x,y * (C * (x * C)),C) = a(C,x,y). [para(519(a,2),2652(a,1,2)),rewrite([43437(17),22403(11),21690(14),31039(12),22398(7),21690(11),3

1098(9),79(7),43886(7),71224(8),7(9),73026(7)]),flip(a)].

73579 a(x / C,y,x) = a(x / y,x,C). [para(38961(a,1),2652(a,1,2,2)),rewrite([39858(4),31098(9),43376(7),44545(7),22584(6),31037(6),55264(5),2

1066(3),79(5),71197(5),72058(7)])].

73632 0 / a(x,C,y) = a(C,x,y). [back_rewrite(73568),rewrite([73575(8),73191(3)]),flip(a)].

73656 a(C * x,y,C) = a(C,x,y). [back_rewrite(73555),rewrite([73632(8)])].

73662 ((C * x) * y) \ (x * (C * y)) = a(C,x,y). [back_rewrite(73449),rewrite([73632(11)])].

73667 a(x,C / x,y) = a(C,y,x). [back_rewrite(73229),rewrite([73632(7)])].

73669 a(C,x,(C * x) \ y) = a(C,x,x \ y). [back_rewrite(73163),rewrite([73632(10)])].

73679 a(x / C,y,x) = a(C,x,y). [back_rewrite(73098),rewrite([73632(7)])].

73690 a(C,x,y / C) = a(C,x,y). [back_rewrite(73080),rewrite([73632(6),73632(8)])].

73707 a(x / (y * C),C * y,C) = a(C,x,y). [back_rewrite(73564),rewrite([73667(10)])].

73710 a(x,C,C * (x \ y)) = a(C,y * C,x). [back_rewrite(72137),rewrite([73667(5)]),flip(a)].

73724 a(C,x,y) * a(C,y,y \ x) = 0. [back_rewrite(71301),rewrite([73667(3)])].

73732 a(x / y,x,C) = a(C,x,y). [back_rewrite(73579),rewrite([73679(3)]),flip(a)].

73735 a(C,x * C,y) = a(x,y,C). [back_rewrite(73485),rewrite([73690(6)])].

73736 a(C,C * x,y) = a(x,y,C). [back_rewrite(73457),rewrite([73690(6)])].

73737 a(C,x,x \ y) = 0 / a(C,y,x). [back_rewrite(71313),rewrite([73690(9),73669(7),73192(5)]),flip(a)].

73750 a(x,C,C * (x \ y)) = a(y,x,C). [back_rewrite(73710),rewrite([73735(9)])].

73759 a(x,C * y,C) = a(x,y,C). [back_rewrite(72911),rewrite([73735(4)]),flip(a)].

73925 a(x / y,y / C,C) = a(C,x,y). [back_rewrite(73707),rewrite([73759(7),72305(5)])].

73991 a(x / (C * y),y,C) = a(C,x,y). [back_rewrite(73563),rewrite([73925(10)])].

74349 a(x * (y * (C * C)),C,z) = 0 / a(C,(C * x) * y,z). [para(243(a,2),2653(a,1,2,1)),rewrite([46582(8),45203(16),31039(17),21415(9),21690(

14),31039(12),40310(11),79(13),73298(13)]),flip(a)].

74350 0 / a(C,x,y) = a(x,C,y). [para(245(a,2),2653(a,1,2,1)),rewrite([46582(9),13(6,R),52(7),38810(18),25(16),25(18),43437(19),69592(12),25(

9),21690(16),27012(14),43720(11),45975(10),38295(11),2653(8),49(6),74349(10),13(8,R),73736(9),73656(7)]),flip(a)].

74353 0 / a(x,y,C) = a(x,C,y). [para(458(a,1),2653(a,1,2)),rewrite([13(6,R),46584(11),25(8),42788(9),38550(8),38550(20),43437(23),69592(14),

25(11),46919(20),38831(15),69592(13),25(10),21690(15),27012(13),43720(10),31039(11),73237(10),74350(7),79(6),39922(8),644(9),49(6),13(8,R),73

295(12),73736(11),73656(9),73735(7)]),flip(a)].

74380 a(C,x,y) \ z = a(x,C,y) * z. [para(2653(a,1),40715(a,2,1)),rewrite([73662(7)])].

74388 x / a(C,y,z) = x * a(y,C,z). [para(2653(a,1),40787(a,2,2)),rewrite([73662(7)])].

74533 a(C,x,x \ y) = a(y,C,x). [back_rewrite(73737),rewrite([74388(7),4(7)])].

74535 a(C,x * y,x) = a(x,C,y). [back_rewrite(73483),rewrite([74388(7),4(7)])].

74574 a(x,C,(C * y) * x) = a(x,C,y). [back_rewrite(73231),rewrite([74388(9),4(9)])].

74583 a(x,C,y * x) = a(x,C,y). [back_rewrite(73469),rewrite([74353(5),74535(6)])].

74587 (C * (x * y)) \ (x * (y * C)) = a(x,C,y). [back_rewrite(72160),rewrite([74353(11)])].

74591 a(C,x * x,y) = a(x,C,x * y). [back_rewrite(39301),rewrite([74353(5)]),flip(a)].

74615 a(C,x,y) * a(x,C,y) = 0. [back_rewrite(73724),rewrite([74533(5)])].

74621 a(C,x,0 / y) = a(x,C,y). [back_rewrite(73223),rewrite([74533(3)]),flip(a)].

74648 a(C,x,y) = a(x,y,C). [back_rewrite(73218),rewrite([74535(6),73750(5)]),flip(a)].

74773 a(x,C,C * y) = a(x,C,y). [back_rewrite(74574),rewrite([74583(5)])].

74787 a(C,x,y \ x) = a(x,C,y). [back_rewrite(73188),rewrite([74621(7)])].

74984 a(C,x / y,y) = a(C,x,y). [back_rewrite(73991),rewrite([74648(5,R),72956(5)])].

75035 a(C,x / y,x) = a(C,x,y). [back_rewrite(73732),rewrite([74648(3,R)])].

75189 a(x,C,x \ y) = a(y,x,C). [back_rewrite(73750),rewrite([74773(5)])].

75261 a(x,y,C / y) = a(C,x,y). [back_rewrite(71457),rewrite([74984(3)]),flip(a)].

75264 a(C,x * x,x \ (x \ y)) = a(C,y,x). [back_rewrite(71450),rewrite([74984(8)])].

75269 a(C,0 / x,x * y) = a(C,y,x). [back_rewrite(71287),rewrite([74984(8)])].

75274 a(C,x,x * y) = a(C,x,y). [back_rewrite(71489),rewrite([75261(4),75035(3),75035(6)]),flip(a)].

75321 a(C,x \ y,y) = a(C,0 / x,y). [back_rewrite(71478),rewrite([75261(4)])].

75328 a(C,x,x / y) = a(x,C,y). [back_rewrite(73181),rewrite([75274(4),74787(3)]),flip(a)].

75394 a(x,C,x * y) = a(x,C,y). [back_rewrite(73187),rewrite([75328(4),75328(6)])].

75402 a(C,x * x,y) = a(x,C,y). [back_rewrite(74591),rewrite([75394(6)])].

75407 a(C,x \ y,x) = a(C,y,x). [back_rewrite(75264),rewrite([75402(5),75189(4),74648(3,R)])].

75420 a(C,x \ y,y) = a(C,y,x). [back_rewrite(73195),rewrite([75407(6)])].

75425 a(C,0 / x,y) = a(C,y,x). [back_rewrite(75321),rewrite([75420(3)]),flip(a)].

75427 a(C,x,y) = a(y,C,x). [back_rewrite(75269),rewrite([75425(5),74535(3)]),flip(a)].

75540 (C * (x * y)) * a(x,y,C) = (C * x) * y. [para(74648(a,1),15(a,1,2))].

75638 a(x,y,C) \ z = a(x,C,y) * z. [para(2654(a,1),40715(a,1,1)),rewrite([74587(10)])].

75646 x / a(y,z,C) = x * a(y,C,z). [para(2654(a,1),40787(a,1,2)),rewrite([74587(10)])].

75676 a(x,y,C) * a(x,C,y) = 0. [para(2654(a,1),40883(a,1,1)),rewrite([13(5,R),74587(9)])].

77120 a(x,y,C) * a(C,y,x) = 0. [para(2667(a,1),74615(a,1,2)),rewrite([73736(4),75427(6,R),73176(6)])].

77121 0 / (a(C,x,y) * a(C,x,y)) = a(x,C,y) * a(x,C,y). [para(74615(a,1),22063(a,1,2)),rewrite([74380(5),22(7)]),flip(a)].

77133 a(C,x,y) * a(C,y,x) = 0. [para(75427(a,2),74615(a,1,2))].

77998 0 / (a(x,y,C) * a(x,y,C)) = a(x,C,y) * a(x,C,y). [para(75676(a,1),22063(a,1,2)),rewrite([75638(5),22(7)]),flip(a)].

78941 a(x,y,C) * a(y,C,x) = a(x,y,C) * a(x,y,C). [para(77120(a,1),85(a,1,1,2)),rewrite([5(4),74388(5)])].

78943 a(C,x,y) * a(y,C,x) = a(y,C,x) * a(y,C,x). [para(77120(a,1),22064(a,1,2,2)),rewrite([5(6),75646(5),77998(12)])].

78948 a(C,x,y) * a(C,x,y) = a(C,x,y) * a(y,C,x). [para(77120(a,1),39893(a,1,2)),rewrite([75646(5),5(7)]),flip(a)].

78949 a(x,C,y) * a(x,C,y) = a(y,x,C) * a(x,C,y). [para(77120(a,1),43564(a,1,1)),rewrite([77121(7),74388(10)])].

178454 a(x,y,C) * a(x,y,C) = a(x,C,y). [para(22420(a,1),39893(a,1,1)),rewrite([75540(11),21690(9),2653(7)]),flip(a)].

178460 a(x,y,C) * a(y,C,x) = a(x,C,y). [back_rewrite(78941),rewrite([178454(10)])].

178461 a(x,C,y) * a(x,C,y) = a(y,C,x). [back_rewrite(78949),rewrite([178460(10)])].

178465 a(C,x,y) * a(y,C,x) = a(x,C,y). [back_rewrite(78943),rewrite([178461(10)])].

178471 a(C,x,y) * a(C,x,y) = a(x,C,y). [back_rewrite(78948),rewrite([178465(10)])].

178474 $F. [back_rewrite(16),rewrite([178471(13),75427(8,R),77133(9)]),xx(a)].

============================== end of proof ==========================

% Proof 1 at 345.56 (+ 1.76) seconds.

% Length of proof is 690.

% Level of proof is 57.

% Maximum clause weight is 39.000.

% Given clauses 6302.

3 a(x,C,A) * (a(x,C,A) * a(x,C,A)) = 0 # label(non_clause) # label(goal). [goal].

7 0 * x = x. [assumption].

8 x * 0 = x. [assumption].

9 x * (x \ y) = y. [assumption].

10 x \ (x * y) = y. [assumption].

11 (x * y) / y = x. [assumption].

12 (x / y) * y = x. [assumption].

13 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

14 x * ((y * A) * x) = (x * y) * (A * x). [assumption].

15 (x * y) * (A * x) = x * ((y * A) * x). [copy(14),flip(a)].

16 C * x = x * C. [assumption].

17 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

18 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(17),flip(a)].

21 a(c4,C,A) * (a(c4,C,A) * a(c4,C,A)) != 0. [deny(3)].

26 x \ x = 0. [para(8(a,1),10(a,1,2))].

27 x / x = 0. [para(7(a,1),11(a,1,1))].

28 x / 0 = x. [para(8(a,1),11(a,1,1))].

29 x / (y \ x) = y. [para(9(a,1),11(a,1,1))].

30 (x / y) \ x = y. [para(12(a,1),10(a,1,2))].

31 (x * x) * y = x * (x * y). [para(7(a,1),13(a,1,1,2)),rewrite([7(5)])].

33 (x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z. [para(9(a,1),13(a,1,1,2)),flip(a)].

34 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(13(a,1),10(a,1,2))].

35 (x * (y * (x * z))) / z = x * (y * x). [para(13(a,1),11(a,1,1))].

36 x * ((y / x) * (x * z)) = (x * y) * z. [para(12(a,1),13(a,1,1,2)),flip(a)].

37 (x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))). [para(13(a,1),13(a,1,1,2)),rewrite([13(9)])].

39 x * (((x \ y) * A) * x) = y * (A * x). [para(9(a,1),15(a,1,1)),flip(a)].

42 (x * ((y * A) * x)) / (A * x) = x * y. [para(15(a,1),11(a,1,1))].

43 (x / y) * ((y * A) * (x / y)) = x * (A * (x / y)). [para(12(a,1),15(a,1,1)),flip(a)].

48 C \ (x * C) = x. [para(16(a,1),10(a,1,2))].

49 x \ (C * x) = C. [para(16(a,2),10(a,1,2))].

50 (x * C) / x = C. [para(16(a,1),11(a,1,1))].

51 (C * x) / C = x. [para(16(a,2),11(a,1,1))].

52 C * (x / C) = x. [para(16(a,2),12(a,1))].

53 (x * (x * C)) * y = x * (C * (x * y)). [para(16(a,1),13(a,1,1,2))].

54 C * (x * (C * y)) = C * (x * (y * C)). [para(16(a,1),13(a,2,2,2)),rewrite([13(5)])].

55 (C * (C * x)) * y = C * (x * (C * y)). [para(16(a,2),13(a,1,1,2))].

56 C * (x * (y * x)) = x * (y * (x * C)). [para(16(a,2),13(a,1))].

57 C * (x * (y * x)) = x * (y * (C * x)). [para(16(a,2),13(a,2,2,2)),rewrite([16(4,R)])].

59 (C * x) * (A * x) = x * ((A * C) * x). [para(16(a,2),15(a,1,1)),rewrite([16(8)])].

63 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(9(a,1),18(a,1,1,2))].

64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(18(a,1),10(a,1,2))].

66 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(12(a,1),18(a,1,1,2))].

67 x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z. [para(12(a,1),18(a,1,1))].

71 (x * (y * (x * (z * u)))) * a(x * (y * x),z,u) = (x * (y * (x * z))) * u. [para(13(a,1),18(a,1,1)),rewrite([13(11)])].

76 (C * x) * y = (x * C) * y. [para(16(a,1),18(a,2,1)),rewrite([18(6)])].

77 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(16(a,2),18(a,1,1,2)),rewrite([16(9,R)])].

79 C \ x = x / C. [para(12(a,1),48(a,1,2))].

82 x * (x * ((x * x) \ y)) = y. [para(31(a,1),9(a,1))].

84 (x * (x * y)) / y = x * x. [para(31(a,1),11(a,1,1))].

85 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(31(a,1),13(a,1,1,2)),rewrite([31(7)])].

89 C * (x * x) = x * (x * C). [para(31(a,1),16(a,2))].

90 C * (C * x) = C * (x * C). [para(16(a,1),31(a,2,2)),rewrite([31(4)])].

91 C * (x * x) = x * (C * x). [para(16(a,2),31(a,2,2)),rewrite([16(3,R)])].

93 (x * (x * (y * z))) * a(x * x,y,z) = (x * (x * y)) * z. [para(31(a,1),18(a,1,1)),rewrite([31(8)])].

96 (x / C) * (C * ((x / C) * y)) = ((x / C) * x) * y. [para(52(a,1),13(a,1,1,2)),flip(a)].

97 C * (C * ((x / C) * A)) = x * (A * C). [para(52(a,1),15(a,1,1)),rewrite([16(11,R)]),flip(a)].

98 (x * y) * a(x,C,y / C) = (x * C) * (y / C). [para(52(a,1),18(a,1,1,2))].

99 (x * C) * ((C * x) \ y) = y. [para(76(a,1),9(a,1))].

101 (C * x) \ ((x * C) * y) = y. [para(76(a,1),10(a,1,2))].

102 (x * C) \ ((C * x) * y) = y. [para(76(a,2),10(a,1,2))].

114 ((C * x) * y) * z = ((x * C) * y) * z. [para(76(a,1),18(a,2,1)),rewrite([18(8)])].

115 (x * ((C * y) * z)) * a(x,y * C,z) = (x * (y * C)) * z. [para(76(a,2),18(a,1,1,2))].

117 (C * (x * C)) / (C * x) = C. [para(76(a,1),50(a,1,1)),rewrite([16(4,R)])].

119 ((x * C) * (C * x)) * y = (C * x) * ((C * x) * y). [para(76(a,1),31(a,1,1))].

121 ((C * x) * (x * C)) * y = (x * C) * ((x * C) * y). [para(76(a,2),31(a,1,1))].

138 x * ((x * x) \ y) = x \ y. [para(82(a,1),10(a,1,2)),flip(a)].

140 x * a(y,y,(y * y) \ x) = x. [para(82(a,1),18(a,1,1)),rewrite([9(8)])].

153 (x * y) / (x \ y) = x * x. [para(9(a,1),84(a,1,1,2))].

154 ((x / y) * x) / y = (x / y) * (x / y). [para(12(a,1),84(a,1,1,2))].

156 ((x * y) * (x * ((y * A) * x))) / (A * x) = (x * y) * (x * y). [para(15(a,1),84(a,1,1,2))].

158 (C * (x * C)) / x = C * C. [para(16(a,1),84(a,1,1,2))].

159 (x * (C * x)) / C = x * x. [para(16(a,2),84(a,1,1,2))].

166 x \ (C * (x * x)) = x * C. [para(89(a,2),10(a,1,2))].

196 (x * ((x \ y) * z)) * ((x \ y) * ((x * ((x \ y) * z)) * u)) = ((x * ((x \ y) * z)) * (((x \ y) * y) * z)) * u. [para(33(a,1),13(a,1,1,2)

),flip(a)].

197 ((x * (y * x)) \ z) * (x * (y * (x * (((x * (y * x)) \ z) * u)))) = (((x * (y * x)) \ z) * z) * u. [para(13(a,1),33(a,1,2))].

199 (x \ y) * (x * (C * (x \ y))) = C * ((x \ y) * y). [para(16(a,2),33(a,1,2,2)),rewrite([16(10,R)])].

220 (x / C) * (C * x) = C * ((x / C) * x). [para(90(a,2),33(a,1,2)),rewrite([79(2),79(6),52(7),79(7),16(10,R)])].

245 (C * x) \ y = (x * C) \ y. [para(99(a,1),10(a,1,2)),flip(a)].

251 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(9(a,1),34(a,1,2,2,2))].

282 (C * x) \ (x * C) = 0. [para(8(a,1),101(a,1,2))].

287 (C * (x * x)) \ (x * (x * C)) = 0. [para(31(a,1),282(a,1,2))].

288 (C * (C * x)) \ (C * (x * C)) = 0. [para(76(a,1),282(a,1,2)),rewrite([16(8,R)])].

292 (x * C) \ (C * x) = 0. [para(8(a,1),102(a,1,2))].

296 (x * (y * z)) / (x \ z) = x * (y * x). [para(9(a,1),35(a,1,1,2,2))].

297 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(12(a,1),35(a,1,1,2,2))].

298 x * ((y / (x * z)) * x) = (x * y) / z. [para(12(a,1),35(a,1,1,2)),flip(a)].

300 (x * (y * (z * (y * (x * u))))) / u = x * (y * (z * (y * x))). [para(13(a,1),35(a,1,1,2)),rewrite([13(9)])].

301 ((x * y) * (z * (x * ((y * A) * x)))) / (A * x) = (x * y) * (z * (x * y)). [para(15(a,1),35(a,1,1,2,2))].

302 (A * (x * ((y * A) * x))) / x = A * ((x * y) * A). [para(15(a,1),35(a,1,1,2))].

306 C * (x * C) = x * (C * C). [para(35(a,1),51(a,1))].

311 ((x * C) * (y * ((C * x) * z))) / z = (C * x) * (y * (C * x)). [para(76(a,1),35(a,1,1))].

312 (C * x) * (y * (C * x)) = (x * C) * (y * (x * C)). [para(76(a,2),35(a,1,1,2,2)),rewrite([311(8)])].

339 (x * x) \ y = x \ (x \ y). [para(138(a,1),10(a,1,2)),flip(a)].

345 x / (y \ (y \ x)) = y * y. [para(138(a,1),84(a,1,1,2)),rewrite([9(2),339(2)])].

347 x * a(y,y,y \ (y \ x)) = x. [back_rewrite(140),rewrite([339(2)])].

348 (x * y) * (x \ z) = x * ((y / x) * z). [para(9(a,1),36(a,1,2,2)),flip(a)].

349 x \ ((x * y) * z) = (y / x) * (x * z). [para(36(a,1),10(a,1,2))].

350 ((x * y) * z) / ((y / x) * (x * z)) = x. [para(36(a,1),11(a,1,1))].

351 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) * y. [para(12(a,1),36(a,1,2,2))].

358 x * ((y / x) * (C * x)) = C * (x * y). [para(16(a,2),36(a,1,2,2)),rewrite([16(8,R)])].

360 ((x * y) * z) * a(x,y / x,x * z) = (x * (y / x)) * (x * z). [para(36(a,1),18(a,1,1))].

363 ((C * x) * y) / C = (x / C) * (C * y). [para(36(a,1),51(a,1,1))].

365 (C * x) * (y / C) = C * ((x / C) * y). [para(52(a,1),36(a,1,2,2)),flip(a)].

366 (x * C) * ((y / (C * x)) * ((C * x) * z)) = ((C * x) * y) * z. [para(36(a,1),76(a,1)),flip(a)].

379 ((x * C) * y) * ((C * x) \ z) = (x * C) * ((y / (x * C)) * z). [para(99(a,1),36(a,1,2,2)),flip(a)].

381 (C * x) \ (((x * C) * y) * z) = (y / (x * C)) * ((x * C) * z). [para(36(a,1),101(a,1,2))].

382 (x * C) \ (((C * x) * y) * z) = (y / (C * x)) * ((C * x) * z). [para(36(a,1),102(a,1,2))].

385 (x * y) * ((z / x) * (x * u)) = x * ((y / x) * ((x * z) * u)). [para(36(a,1),36(a,1,2,2)),flip(a)].

386 x / (x \ 0) = x * x. [para(8(a,1),153(a,1,1))].

391 (x * C) / (x / C) = C * C. [para(16(a,1),153(a,1,1)),rewrite([79(4)])].

392 (C * x) / (x \ C) = x * x. [para(16(a,2),153(a,1,1))].

405 (0 / x) * (0 / x) = (0 / x) / x. [para(30(a,1),386(a,1,2)),flip(a)].

409 (x * (C * (x * C))) * y = x * (C * (C * (x * y))). [para(158(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

421 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (x * C)))). [para(37(a,1),16(a,2))].

425 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (C * x)))). [para(16(a,2),37(a,2,2,2,2,2)),rewrite([16(6,R)])].

428 x * (y * (z * (y * (x * a(x,y,z * (y * x)))))) = (x * y) * (z * (y * x)). [para(37(a,1),18(a,1))].

432 (x * (y * (z * (z * (y * x))))) * u = x * (y * (z * (z * (y * (x * u))))). [para(31(a,1),37(a,1,1,2,2)),rewrite([31(10)])].

450 (x * (x * (C * (y * (x * (x * C)))))) * z = x * (x * (C * (y * (C * (x * (x * z)))))). [para(89(a,1),37(a,1,1,2,2,2)),rewrite([31(8),31(

14),31(18)])].

474 ((C * x) \ y) * ((x * C) * (z * ((x * C) * (((C * x) \ y) * u)))) = (((C * x) \ y) * ((x * C) * (z * y))) * u. [para(99(a,1),37(a,1,1,2,

2,2)),flip(a)].

498 (C * (x * (C * x))) * y = C * (x * (x * (C * y))). [para(159(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

612 (x * (C * C)) / C = x * C. [para(306(a,1),10(a,1,2)),rewrite([79(6)])].

613 x \ (C * (x * C)) = C * C. [para(306(a,2),10(a,1,2))].

615 (C * (x * C)) / (C * C) = x. [para(306(a,2),11(a,1,1))].

618 (x * (C * C)) * y = C * (x * (C * y)). [para(306(a,1),13(a,1,1))].

619 C * (x * (C * (y * C))) = C * (x * (y * (C * C))). [para(306(a,1),13(a,2,2,2)),rewrite([13(7)])].

620 C * (x * (C * x)) = x * (x * (C * C)). [para(306(a,1),13(a,2,2)),rewrite([16(5,R)])].

621 C * (C * (x * (y * x))) = x * (y * (x * (C * C))). [para(306(a,2),13(a,1)),rewrite([16(5,R)])].

622 C * (C * (x * (y * x))) = x * (y * (C * (x * C))). [para(306(a,2),13(a,2,2,2)),rewrite([306(6,R),16(5,R)])].

625 C * (C * x) = x * (C * C). [para(16(a,2),306(a,1,2))].

626 (x * (y * (C * C))) * a(x,C,y * C) = (x * C) * (y * C). [para(306(a,1),18(a,1,1,2))].

630 C * (C * (x * x)) = x * (x * (C * C)). [para(306(a,2),31(a,1)),rewrite([16(4,R)])].

645 (x * (C * C)) / (C * x) = C. [para(306(a,1),117(a,1,1))].

649 (x * (C * C)) / x = C * C. [para(306(a,1),153(a,1,1)),rewrite([79(8),11(8)])].

656 C * (x * (C * (y * (C * x)))) = x * (C * (y * (x * (C * C)))). [para(306(a,1),37(a,2,2,2,2)),rewrite([16(8,R)])].

659 C * (C * (x * (y * (z * (y * x))))) = x * (y * (z * (y * (C * (x * C))))). [para(306(a,2),37(a,2,2,2,2,2)),rewrite([306(8,R),16(7,R)])].

669 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [para(31(a,1),339(a,1,1)),rewrite([339(7),339(8)])].

722 (x * (y * x)) / (A * x) = x * (y / A). [para(12(a,1),42(a,1,1,2,1))].

725 (C * (C * (x * A))) / (A * C) = C * x. [para(16(a,1),42(a,1,1)),rewrite([16(4,R),16(6,R)])].

728 x * (C * y) = x * (y * C). [para(76(a,1),42(a,1,1,2,1)),rewrite([722(9),11(6)]),flip(a)].

743 C * (x / (C * C)) = x / C. [para(12(a,1),612(a,1,1)),rewrite([16(8,R)]),flip(a)].

747 (x / C) \ (C * x) = C * C. [para(12(a,1),613(a,1,2,2))].

782 (C * x) / (C * C) = x / C. [para(12(a,1),615(a,1,1,2))].

789 (x * (y * (C * C))) * a(x,C,C * y) = (x * C) * (C * y). [para(625(a,1),18(a,1,1,2))].

794 (C * x) * (x * (C * C)) = C * ((C * x) * (C * x)). [para(625(a,1),91(a,2,2)),flip(a)].

798 (x * (y * (C * (C * x)))) / (C * C) = x * (y * x). [para(625(a,2),35(a,1,1,2,2))].

877 (x * (y * C)) / (C * y) = x. [para(728(a,1),11(a,1,1))].

879 (x / (C * y)) * (y * C) = x. [para(728(a,1),12(a,1))].

880 (x / (y * C)) * (C * y) = x. [para(728(a,2),12(a,1))].

886 (x * (y * (z * C))) * a(x,y,C * z) = (x * y) * (C * z). [para(728(a,1),18(a,1,1,2))].

888 (x * (y * (C * z))) * a(x,y,z * C) = (x * y) * (z * C). [para(728(a,2),18(a,1,1,2))].

889 (C * x) * ((C * x) * y) = (x * C) * ((x * C) * y). [para(728(a,1),31(a,1,1)),rewrite([121(6)]),flip(a)].

891 x * (C * (y * y)) = x * (y * (y * C)). [para(31(a,1),728(a,2,2))].

892 (C * x) * (y * C) = (x * C) * (C * y). [para(728(a,1),76(a,1))].

893 (C * x) * (C * y) = (x * C) * (y * C). [para(728(a,1),76(a,2))].

897 x * (C * (y * y)) = x * (y * (C * y)). [para(91(a,1),728(a,1,2)),rewrite([16(7,R)]),flip(a)].

902 (x * (y * (x * (C * z)))) / (z * C) = x * (y * x). [para(728(a,2),35(a,1,1,2,2))].

916 x * (C * (y * C)) = x * (y * (C * C)). [para(306(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

920 x * (C * (C * y)) = x * (y * (C * C)). [para(625(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

969 (x / C) / C = x / (C * C). [para(743(a,1),10(a,1,2)),rewrite([79(4)])].

973 (x * (y / C)) * a(x,C,y / (C * C)) = (x * C) * (y / (C * C)). [para(743(a,1),18(a,1,1,2))].

974 (x / (C * C)) \ (x / C) = C. [para(743(a,1),49(a,1,2))].

977 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(743(a,1),36(a,1,2,2)),flip(a)].

987 (0 / C) \ C = C * C. [para(8(a,1),747(a,1,2))].

1096 (x * C) / (C * C) = x / C. [para(16(a,1),782(a,1,1))].

1101 (x / (C * C)) / C = (x / C) / (C * C). [para(743(a,1),782(a,1,1)),flip(a)].

1224 (x * C) * ((y / (C * x)) * ((x * C) * z)) = ((x * C) * y) * z. [para(879(a,1),13(a,1,1,2)),flip(a)].

1228 x * a(x / (C * y),y,C) = C * ((x / (C * y)) * y). [para(879(a,1),18(a,1,1)),rewrite([16(12,R)])].

1229 (x / (C * (y * y))) * (y * (y * C)) = x. [para(31(a,1),879(a,1,2))].

1236 x * ((y / (C * x)) * x) = (x * y) / C. [para(879(a,1),35(a,1,1,2)),flip(a)].

1255 C * (x * (x * (C * y))) = x * (C * (C * (x * y))). [para(53(a,1),76(a,2,1)),rewrite([85(6),409(12)])].

1257 C * (x * (C * (x * (x * (x * C))))) = x * (C * (x * (x * (C * (x * C))))). [para(53(a,1),89(a,2,2)),rewrite([53(8),53(18)])].

1268 (x * (C * (x * C))) \ (C * (x * (x * C))) = 0. [para(53(a,1),292(a,1,1))].

1374 (C * (x * (C * y))) \ z = (C * (x * (y * C))) \ z. [para(54(a,1),245(a,1,1)),rewrite([16(11,R)]),flip(a)].

1486 C * ((x / C) * (y * (x / C))) = (x / C) * (y * x). [para(12(a,1),56(a,2,2,2))].

1498 (x * (C * (y * (z * y)))) * a(x,y,z * (y * C)) = (x * y) * (z * (y * C)). [para(56(a,2),18(a,1,1,2))].

1500 (x * y) * (z * (C * (x * y))) = C * ((x * y) * (z * (x * y))). [para(56(a,2),18(a,2)),rewrite([16(3,R),16(9,R),18(12)])].

1585 a(x,x,x \ (x \ y)) = 0. [para(347(a,1),10(a,1,2)),rewrite([26(1)]),flip(a)].

1607 a(x,x,x \ y) = 0. [para(10(a,1),1585(a,1,3,2))].

1639 (x * (y * (C * x))) \ ((C * (x * (y * x))) * z) = z. [para(57(a,1),101(a,1,1)),rewrite([16(8,R)])].

1698 (x / (y * (z * (C * y)))) * (C * (y * (z * y))) = x. [para(57(a,1),879(a,1,1,2)),rewrite([16(9,R)])].

1709 a(x,x,y) = 0. [para(10(a,1),1607(a,1,3))].

1727 (C * (C * (x * (C * (C * (C * x)))))) \ (C * (x * (C * (C * (C * (C * x)))))) = 0. [para(55(a,1),287(a,1,2)),rewrite([55(10),16(19,R)])

].

1734 (C * (C * (x * (x * C)))) \ (C * (x * (C * (x * C)))) = 0. [para(53(a,1),288(a,1,2,2))].

1820 (0 / x) \ ((0 / x) / x) = 0 / x. [para(405(a,1),10(a,1,2))].

1824 (x * ((0 / y) / y)) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [para(405(a,1),18(a,1,1,2))].

1869 (C * x) * (x \ y) = x * ((C / x) * y). [para(16(a,1),63(a,2,1)),rewrite([63(6),348(8)])].

1871 (x * C) * (y / C) = C * ((x / C) * y). [para(16(a,2),63(a,2,1)),rewrite([79(4),98(6),79(9),365(10)])].

1907 (C * x) * ((C / (C * x)) * y) = C * (x * (C * ((C * x) \ y))). [para(625(a,1),63(a,2,1)),rewrite([63(10),1869(8),618(16)])].

1977 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(9(a,1),64(a,1,2,1))].

1979 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(12(a,1),64(a,1,1,2))].

1983 (x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u). [para(13(a,1),64(a,1,1)),rewrite([13(7)])].

1990 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(16(a,1),64(a,1,2,1))].

1991 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(16(a,2),64(a,1,1,2)),rewrite([16(6,R)])].

1992 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(16(a,2),64(a,1,2,1))].

1998 (x * (x * (y * z))) \ ((x * (x * y)) * z) = a(x * x,y,z). [para(31(a,1),64(a,1,1)),rewrite([31(5)])].

1999 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(52(a,1),64(a,1,1,2)),rewrite([1871(6)])].

2000 (C * ((x / C) * y)) \ (x * y) = a(C,x / C,y). [para(52(a,1),64(a,1,2,1))].

2001 (x * ((y * C) * z)) \ ((x * (C * y)) * z) = a(x,C * y,z). [para(76(a,1),64(a,1,1,2))].

2002 ((x * C) * (y * z)) \ (((C * x) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,1))].

2003 ((C * x) * (y * z)) \ (((x * C) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,2,1))].

2004 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(76(a,2),64(a,1,1,2))].

2040 (x * (C * (y * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(306(a,2),64(a,1,1,2)),rewrite([306(10,R),16(9,R)])].

2042 a(x,C * C,y) = a(x,C * y,C). [para(306(a,2),64(a,1,2,1)),rewrite([31(4),13(10),1991(11)]),flip(a)].

2043 (x * (y * (C * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(306(a,2),64(a,1,2)),rewrite([16(9,R)])].

2048 (x * (y * (C * C))) \ ((x * C) * (C * y)) = a(x,C,C * y). [para(625(a,1),64(a,1,1,2))].

2054 a(x,C * y,z) = a(x,y * C,z). [para(728(a,1),64(a,1,2,1)),rewrite([2004(9)]),flip(a)].

2063 x \ (C * ((x / (C * y)) * y)) = a(x / (C * y),y,C). [para(879(a,1),64(a,1,1)),rewrite([16(6,R)])].

2097 (x * ((0 / y) / y)) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [para(405(a,1),64(a,1,1,2))].

2101 a(x,x * C,C) = 0. [back_rewrite(1268),rewrite([1991(11)])].

2103 a(x / C,x,C) = 0. [para(12(a,1),2101(a,1,2))].

2319 C * ((x / (C * y)) * y) = C * ((x / (y * C)) * y). [para(16(a,2),67(a,1,2,1,2)),rewrite([1228(6),16(12,R)])].

2371 C * (C * ((x / (C * (C * y))) * y)) = C * (C * ((x / (y * (C * C))) * y)). [para(625(a,2),67(a,2,1,1,2)),rewrite([67(10),306(10,R),16(9

,R),306(20,R),16(19,R)]),flip(a)].

2377 x * a(x / (y * (C * z)),y,z * C) = ((x / (y * (z * C))) * y) * (z * C). [para(728(a,2),67(a,1,2,1,2))].

2604 (0 / C) \ (0 / (C * C)) = 0 / C. [para(969(a,1),1820(a,1,2))].

3002 a(x,C * C,x) = 0. [para(2042(a,2),2103(a,1)),rewrite([51(4)])].

3032 (x / (C * C)) * x = x * (x / (C * C)). [para(3002(a,1),63(a,1,2)),rewrite([339(4),79(3),79(4),969(4),8(7),339(9),79(8),79(9),969(9),306

(13,R),16(12,R),743(12),52(9),339(9),79(8),79(9),969(9)])].

4520 (C * (C * (x * y))) \ (C * (x * (C * y))) = a(C * C,x,y). [para(93(a,1),102(a,1,2)),rewrite([16(5,R),55(10)])].

4620 a(C * C,x,x * C) = 0. [back_rewrite(1734),rewrite([4520(15)])].

4621 a(C * C,x,C * (C * (C * x))) = 0. [back_rewrite(1727),rewrite([4520(23)])].

4625 a(C * C,x / C,x) = 0. [para(12(a,1),4620(a,1,3))].

4639 C * (C * ((x / C) * x)) = (C * x) * x. [para(4625(a,1),18(a,1,2)),rewrite([31(7),8(9),31(13),52(12)])].

4847 (x / C) * (C * (C * x)) = (C * x) * x. [para(306(a,2),96(a,1,2,2)),rewrite([16(8,R),52(8),306(14,R),16(13,R),4639(14)])].

5354 a(C * C,x / C,C * (C * x)) = 0. [para(9(a,1),4621(a,1,3,2,2)),rewrite([79(5)])].

5744 C * ((C * x) * (C * x)) = C * (C * ((C * x) * x)). [para(5354(a,1),18(a,1,2)),rewrite([4847(10),31(7),8(9),31(13),52(12),91(14,R)]),fli

p(a)].

5792 (C * x) * (x * (C * C)) = C * (C * ((C * x) * x)). [back_rewrite(794),rewrite([5744(14)])].

6372 ((x * C) * y) / C = (x / C) * (C * y). [para(114(a,1),1096(a,1,1)),rewrite([16(5,R),782(9),363(10)])].

8072 (C * x) * (C * (C * (x * A))) = C * (C * (((C * x) * x) * A)). [para(119(a,1),97(a,2)),rewrite([6372(9),4847(9),15(17),16(16,R)]),flip(

a)].

8405 (x * C) * (C * x) = C * ((C * x) * x). [para(16(a,1),156(a,2,1)),rewrite([16(7,R),8072(9),725(13)]),flip(a)].

8619 (C * ((C * x) * x)) * y = (C * x) * ((C * x) * y). [back_rewrite(119),rewrite([8405(5)])].

10744 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(9(a,1),251(a,1,2,2))].

10748 (x * (y * (x * (z * (x * (y * x)))))) \ (x * (y * (x * (z * u)))) = (x * (y * x)) \ u. [para(13(a,1),251(a,1,1)),rewrite([13(10)])].

10770 x \ (C * y) = x \ (y * C). [para(91(a,2),251(a,1,2,2)),rewrite([10744(7),166(4)]),flip(a)].

10806 (C * (x * (C * (y * (C * (C * x)))))) \ (C * (x * (C * (y * z)))) = (C * (C * x)) \ z. [para(55(a,1),251(a,1,1)),rewrite([55(16)])].

10889 (C * x) / (y \ (x * C)) = y. [para(10770(a,1),29(a,1,2))].

10907 x \ (C * (y * C)) = x \ (y * (C * C)). [para(306(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

10911 x \ (C * (C * y)) = x \ (y * (C * C)). [para(625(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

11483 (x * y) / (x \ z) = x * ((y / z) * x). [para(12(a,1),296(a,1,1,2))].

11512 ((0 / C) * (x * (0 / (C * C)))) / (0 / C) = (0 / C) * (x * (0 / C)). [para(2604(a,1),296(a,1,2))].

11593 x \ ((x * y) / z) = (y / (x * z)) * x. [para(298(a,1),10(a,1,2))].

11597 x * ((y / (x * z)) * (x * u)) = ((x * y) / z) * u. [para(298(a,1),13(a,1,1)),flip(a)].

11601 C * (C * (x / (C * y))) = (C * x) / y. [para(298(a,1),16(a,1)),rewrite([16(8,R),16(10,R)]),flip(a)].

11615 x * ((y / (C * (x * x))) * x) = (x * y) / (x * C). [para(89(a,2),298(a,1,2,1,2))].

11656 C * ((C * (x / (C * y))) * (C * z)) = (C * ((C * x) / y)) * z. [para(298(a,1),55(a,1,1,2)),rewrite([16(12,R)]),flip(a)].

11787 (x * y) / ((z / (x * u)) * x) = x * ((y / ((x * z) / u)) * x). [para(298(a,1),298(a,1,2,1,2)),flip(a)].

12050 x * ((0 / x) * y) = y. [para(8(a,1),348(a,1,1)),rewrite([9(2)]),flip(a)].

12083 C * (((C * x) * x) * (C * ((C * x) \ y))) = (C * x) * (C * y). [para(645(a,1),348(a,2,2,1)),rewrite([5792(7),55(11)])].

12086 (0 / C) * (C * (x / (0 / C))) = C * x. [para(987(a,1),348(a,1,2)),rewrite([306(8,R),16(7,R),12050(7),16(11,R)]),flip(a)].

12105 x * ((0 / x) / x) = 0 / x. [para(405(a,1),348(a,2,2)),rewrite([8(2),9(4)]),flip(a)].

12496 x * (0 / x) = 0. [para(8(a,1),12050(a,1,2))].

12497 (0 / x) \ y = x * y. [para(9(a,1),12050(a,1,2)),flip(a)].

12498 (0 / x) * y = x \ y. [para(12050(a,1),10(a,1,2)),flip(a)].

12503 (x \ y) / y = 0 / x. [para(12050(a,1),35(a,1,1,2)),rewrite([12498(3),12496(7),8(6)])].

12504 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(36(a,1),12050(a,1,2)),rewrite([12498(3),12498(9)]),flip(a)].

12505 (x * (y \ x)) * z = x * (y \ (x * z)). [para(12050(a,1),37(a,1,1,2,2)),rewrite([12498(3),12498(9),9(8),12498(7)])].

12513 x * (0 / C) = x / C. [para(12050(a,1),56(a,1)),rewrite([16(12,R),12496(12),8(9),12498(8),79(6)])].

12515 a(x,0 / x,y) = 0. [para(12050(a,1),64(a,1,1)),rewrite([12496(3),7(2),26(1)]),flip(a)].

12555 x / (0 / C) = C * x. [back_rewrite(12086),rewrite([12498(10),10(8)])].

12558 x * (0 / (C * C)) = x / (C * C). [back_rewrite(11512),rewrite([12498(10),79(8),12555(12),52(10),12513(13),12498(12),79(10),969(10)])].

12584 x \ (0 / x) = (0 / x) / x. [back_rewrite(405),rewrite([12498(5)])].

12620 x \ 0 = 0 / x. [para(12496(a,1),10(a,1,2))].

12628 (x * C) * (0 / (C * x)) = 0. [para(12496(a,1),76(a,1)),flip(a)].

12632 (x * y) / (0 / x) = x * (y * x). [para(12496(a,1),35(a,1,1,2,2)),rewrite([8(2)])].

12633 (x * y) * (0 / x) = x * (y / x). [para(12496(a,1),36(a,1,2,2)),rewrite([8(3)]),flip(a)].

12641 C * (0 / A) = C / A. [para(12496(a,1),59(a,1,2)),rewrite([8(7),12633(15),12498(14),10(12)])].

12643 (x / y) * (y * (0 / x)) = a(y,x,0 / x). [para(12496(a,1),64(a,1,1,2)),rewrite([8(2),349(5)])].

12697 (0 / x) / x = 0 / (x * x). [para(12620(a,1),339(a,1)),rewrite([12620(5),12584(6)]),flip(a)].

12715 x \ (0 / x) = 0 / (x * x). [back_rewrite(12584),rewrite([12697(6)])].

12732 x * (0 / (x * x)) = 0 / x. [back_rewrite(12105),rewrite([12697(3)])].

12756 (x * (0 / (y * y))) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [back_rewrite(2097),rewrite([12697(3)])].

12760 (x * (0 / (y * y))) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [back_rewrite(1824),rewrite([12697(3)])].

12852 a(0 / x,x,y) = 0. [para(29(a,1),12515(a,1,2)),rewrite([12620(2)])].

12862 x / (y * x) = 0 / y. [para(12497(a,1),29(a,1,2))].

12866 (C * x) / (y * (x * C)) = 0 / y. [para(12497(a,1),10889(a,1,2))].

12868 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(12497(a,1),348(a,1,2)),rewrite([12498(3),12498(10)]),flip(a)].

12871 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(12498(a,1),13(a,1,1)),rewrite([12498(10),12498(10)])].

12873 C * (0 / x) = x \ C. [para(12498(a,1),16(a,2))].

12884 x \ (C * C) = C * (x \ C). [para(12498(a,1),306(a,2)),rewrite([16(5,R),12873(5)]),flip(a)].

12888 x * (C * (x \ C)) = C * C. [para(12498(a,1),613(a,1,2,2)),rewrite([12497(7)])].

12890 A * (0 / x) = A / x. [para(12498(a,1),43(a,1)),rewrite([12633(5),10(4),7(8)]),flip(a)].

12892 (x \ (y * C)) / (C * y) = 0 / x. [para(12498(a,1),877(a,1,1))].

12979 x * ((x * y) \ x) = x / y. [para(12498(a,1),298(a,1,2)),rewrite([8(5)])].

12990 A \ C = C / A. [back_rewrite(12641),rewrite([12873(5)])].

13215 0 / (x / y) = y / x. [para(30(a,1),12503(a,1,1)),flip(a)].

13216 C / (C * x) = 0 / x. [para(49(a,1),12503(a,1,1))].

13223 (C * C) / x = C / (x / C). [para(974(a,1),12503(a,1,1)),rewrite([13215(10)]),flip(a)].

13230 (C / A) / C = 0 / A. [para(12990(a,1),12503(a,1,1))].

13231 C * (x * (C * ((C * x) \ y))) = x * ((C / x) * y). [back_rewrite(1907),rewrite([13216(6),12498(5),1869(4)]),flip(a)].

13406 x \ (x / C) = 0 / C. [para(12513(a,1),10(a,1,2))].

13407 (x * (y / C)) / C = (x / (C * C)) * y. [para(12513(a,1),13(a,1,1,2)),rewrite([12498(6),79(4),969(4),12498(12),79(10),12498(12),79(10)]

),flip(a)].

13413 (x * x) / C = x * (x / C). [para(12513(a,1),31(a,1)),rewrite([12513(7)])].

13414 C * (x * (x / C)) = x * x. [para(12513(a,1),84(a,1,1,2)),rewrite([12555(7)])].

13419 C * (x * (y * (x / C))) = x * (y * x). [para(12513(a,1),35(a,1,1,2,2)),rewrite([12555(8)])].

13421 (x * (y * (x * (z / C)))) / C = ((x * (y * (x / C))) / C) * z. [para(12513(a,1),37(a,1,1,2,2,2)),rewrite([12498(8),79(6),12498(14),79(

12),12498(16),79(14)]),flip(a)].

13449 (x * (x * (y / C))) / C = (x * (x / (C * C))) * y. [para(12513(a,1),85(a,1,1,2,2)),rewrite([12498(7),79(5),13407(5),3032(5),12498(13),

79(11),12498(14),79(12)]),flip(a)].

13481 x \ (0 / C) = (0 / x) / C. [para(12513(a,1),12498(a,1)),flip(a)].

13607 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(13(a,1),12862(a,1,2))].

13608 x / (x * C) = 0 / C. [para(16(a,1),12862(a,1,2))].

13614 x / (y * (z * (u * (z * (y * x))))) = 0 / (y * (z * (u * (z * y)))). [para(37(a,1),12862(a,1,2))].

13631 a(x,y,C) / (C * (x * y)) = 0 / (x * (C * y)). [para(77(a,1),12862(a,1,2))].

13785 C * (C * (x / (y \ C))) = (C * x) / (0 / y). [para(12873(a,1),298(a,1,2,1,2)),rewrite([16(6,R)])].

13786 C * (((0 / x) / C) * y) = (x \ C) * (y / C). [para(12873(a,1),348(a,1,1)),rewrite([79(4)]),flip(a)].

13796 (A / x) / (0 / x) = A. [para(12890(a,1),11(a,1,1))].

13837 (x / y) * (y / x) = 0. [para(13215(a,1),12(a,1,1))].

13839 x / (C * (x * C)) = 0 / (C * C). [para(158(a,1),13215(a,1,2)),flip(a)].

13840 (x / C) / (x * C) = 0 / (C * C). [para(391(a,1),13215(a,1,2)),flip(a)].

13843 x / (x * (C * C)) = 0 / (C * C). [para(649(a,1),13215(a,1,2)),flip(a)].

13844 x * a(x,y / z,z / y) = (x * (y / z)) * (z / y). [para(13215(a,1),66(a,1,2,2)),rewrite([8(2),13215(7)])].

13859 (x / y) * ((y / x) * z) = z. [para(13215(a,1),348(a,2,2,1)),rewrite([8(3),9(4)]),flip(a)].

13861 (x / y) \ z = (y / x) * z. [para(13215(a,1),12497(a,1,1))].

13862 (0 / C) / x = 0 / (C * x). [para(12555(a,1),13215(a,1,2)),flip(a)].

13997 C / (x / C) = C * (x \ C). [para(13216(a,1),298(a,1,2,1)),rewrite([16(5,R),12873(5),13223(8)]),flip(a)].

14010 (C * C) / x = C * (x \ C). [back_rewrite(13223),rewrite([13997(8)])].

14320 (0 / x) / (0 / (x * A)) = A. [para(12862(a,1),13796(a,1,1))].

15730 (x * y) * (0 / (x * x)) = x * ((y / x) * (0 / x)). [para(12715(a,1),348(a,1,2))].

15758 a(x,0 / (x * x),y) = 0. [para(12732(a,1),64(a,1,2,1)),rewrite([12498(4),339(2),9(3),12498(4),26(3)]),flip(a)].

15975 a(0 / x,x * x,y) = 0. [para(12498(a,1),15758(a,1,2,2)),rewrite([12715(6),13215(7),28(5)])].

16003 (x * C) * (C / x) = C * C. [para(12884(a,1),99(a,1,2)),rewrite([12979(8)])].

16162 x / (x \ y) = x * (y \ x). [para(9(a,1),12979(a,1,2,1)),flip(a)].

16163 (x * y) \ x = x \ (x / y). [para(12979(a,1),10(a,1,2)),flip(a)].

16187 (C / x) / (C * (C / (C / x))) = ((C / x) / C) * ((C / x) / C). [para(12979(a,1),392(a,1,1)),rewrite([16163(6),79(6),13861(8),16(8,R),1

6163(13),79(13),16163(17),79(17)])].

16198 x * ((C * (x * (y * x))) \ x) = x / (y * (x * C)). [para(56(a,2),12979(a,1,2,1))].

16261 x * ((0 / x) / C) = 0 / C. [para(13608(a,1),12979(a,2)),rewrite([16163(4),13608(3),13481(4)])].

16275 x / (C * (x \ C)) = x * (x / (C * C)). [para(12888(a,1),12979(a,1,2,1)),rewrite([339(4),79(3),79(4),969(4)]),flip(a)].

16522 0 / (x * (x / C)) = C / (x * x). [para(13413(a,1),13215(a,1,2))].

16705 (x * y) * ((0 / x) / C) = x * ((y / x) / C). [para(13481(a,1),348(a,1,2)),rewrite([12513(11)])].

16775 (x / (y / z)) * ((y / z) * u) = (z / y) * (((y / z) * x) * u). [para(36(a,1),13859(a,1,2)),flip(a)].

16789 ((x / y) * (((y / x) * z) * u)) \ (z * u) = a(x / y,(y / x) * z,u). [para(13859(a,1),64(a,1,2,1))].

16814 (x / ((y / z) * u)) * (y / z) = (z / y) * (((y / z) * x) / u). [para(298(a,1),13859(a,1,2)),flip(a)].

16853 x * ((C * (x * y)) \ x) = (x / C) / y. [para(13862(a,1),298(a,1,2,1)),rewrite([12498(6),12513(9)])].

16858 (x / C) / (y * x) = x / (y * (x * C)). [back_rewrite(16198),rewrite([16853(6)])].

18244 ((x * C) * (y * (C * C))) / (C / x) = (x * C) * (y * (x * C)). [para(16003(a,1),35(a,1,1,2,2))].

18285 (C / x) / (C * C) = 0 / (x * C). [para(16003(a,1),12862(a,1,2))].

18347 x * ((y / (x / y)) * x) = (x * y) * y. [para(10(a,1),16162(a,2,2)),rewrite([16163(3),11483(4)])].

18441 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(18(a,1),16163(a,1,1)),flip(a)].

18444 ((C * x) * y) \ (x * C) = (x * C) \ ((x * C) / y). [para(76(a,2),16163(a,1,1))].

18511 (C * ((x / C) * x)) \ (x / C) = 0 / (x * C). [para(220(a,1),16163(a,1,1)),rewrite([16858(15),13839(15),13861(16),12558(16),18285(14)])

].

18573 x \ (y * (0 / x)) = (x \ y) / x. [para(8(a,1),297(a,1,1,2)),rewrite([12498(3),12498(8)]),flip(a)].

18661 (C * x) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(297(a,1),12555(a,1)),rewrite([12555(4),12555(6),12555(11)])].

18664 x \ (x \ C) = (x \ C) / x. [para(12873(a,1),297(a,2,2)),rewrite([8(5),16(4,R),12873(4),12498(8)]),flip(a)].

18670 (A \ (x * (C / A))) / C = (A \ x) / A. [para(13230(a,1),297(a,1,1,1)),rewrite([12498(8),13230(13),13230(16),12498(16),18573(14)])].

18738 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(12871),rewrite([18573(4)]),flip(a)].

18890 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [back_rewrite(312),rewrite([18661(6)]),flip(a)].

19032 ((x * C) * (y * (C * C))) / (C / x) = C * ((C * x) * (y * x)). [back_rewrite(18244),rewrite([18890(16)])].

19227 (x * y) / ((0 / x) / C) = x * ((C * y) * x). [para(16261(a,1),298(a,1,2,1,2)),rewrite([12555(4)]),flip(a)].

19295 (x * (C * (y * (x * (C * C))))) / C = x * (C * (y * (C * x))). [para(306(a,1),300(a,1,1,2,2,2))].

19606 ((C * x) * (y * (C * (C * (x * A))))) / (A * C) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,1,1,2,2)),rewrite([16(6,R),16(8,R),1866

1(20)])].

19608 (C * x) * (y * (x * C)) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,2,2,2)),rewrite([16(7,R),19606(14)]),flip(a)].

19806 x * ((x \ C) / x) = x \ C. [para(18664(a,1),9(a,1,2))].

19951 A * ((x \ (x / A)) * A) = A. [para(12496(a,1),302(a,1,1,2,2)),rewrite([8(7),12890(6),12862(4),14320(7),12498(7),16163(5)]),flip(a)].

20574 (x \ (x / A)) * A = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].

20575 A * ((x \ (x / A)) * (A * y)) = A * y. [para(19951(a,1),13(a,1,1)),flip(a)].

20578 (x \ (x / A)) * (A * (x \ (x / A))) = 0 / A. [para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].

20585 (x \ (x / A)) * (A * y) = y. [para(19951(a,1),71(a,2,1,2)),rewrite([20575(11),20578(15),12852(11),8(8),20574(11),7(8)])].

20598 x * (A * (y \ (y / A))) = x. [para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].

20606 x \ (x / A) = 0 / A. [back_rewrite(20578),rewrite([20598(9)])].

20659 x * (0 / A) = x / A. [para(20606(a,1),9(a,1,2))].

20662 (A \ (x / A)) * y = ((A \ x) / A) * y. [para(20606(a,1),33(a,1,1)),rewrite([20606(6),12498(7),12498(7),18738(5),20606(8),12498(11)]),f

lip(a)].

20675 A \ (x * (y * (x * (A \ z)))) = ((A \ (x * (y * x))) / A) * z. [para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606

(14),12498(15),20662(14)])].

20676 A \ (x * (C / A)) = C * (A \ (x / A)). [para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].

20720 A \ (x / A) = (A \ x) / A. [back_rewrite(18670),rewrite([20676(6),51(8)])].

20744 (x * (y * x)) / A = x * (y * (x / A)). [para(20659(a,1),13(a,1)),rewrite([20659(8)])].

20832 A \ (x * (y * (x / A))) = (A \ (x * (y * x))) / A. [para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14

)]),flip(a)].

21328 A * ((A \ x) / A) = x / A. [para(20720(a,1),9(a,1,2))].

21351 (A * x) * A = A * (x * A). [para(302(a,1),20720(a,1,2)),rewrite([10(8),10(14),20744(12),27(10),8(9)])].

21694 ((x \ y) / x) * (x * z) = x \ (y * z). [para(9(a,1),349(a,1,2,1)),flip(a)].

21699 x \ (C * (x * y)) = (y / x) * (x * C). [para(16(a,2),349(a,1,2))].

21703 (x / (C * C)) * (C * y) = (x * y) / C. [para(52(a,1),349(a,1,2,1)),rewrite([79(3),969(7)]),flip(a)].

21785 (C * x) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),349(a,1,2,1)),rewrite([13862(8),12498(10)]),flip(a)].

21786 (x / (y * C)) * y = (x / y) * (y / C). [para(12513(a,1),349(a,1,2)),rewrite([11593(4),12513(9)])].

21787 ((0 / x) / C) * (C * y) = ((x \ C) * y) / C. [para(12873(a,1),349(a,1,2,1)),rewrite([79(5)]),flip(a)].

21802 (C / x) * (x * (0 / (C * x))) = 0 / x. [para(12628(a,1),349(a,1,2)),rewrite([12620(2)]),flip(a)].

21814 C * (x \ (C * ((x / C) * y))) = (C / x) * (x * y). [para(13997(a,1),349(a,2,1)),rewrite([16(6,R),52(6),13861(4),12505(12)]),flip(a)].

21826 ((C / x) / (x * C)) * ((x * C) * y) = (x * C) \ (C * (C * y)). [para(16003(a,1),349(a,1,2,1)),rewrite([31(6)]),flip(a)].

21894 C * ((x / (C * y)) * y) = C * ((x / y) * (y / C)). [back_rewrite(2319),rewrite([21786(11)])].

21942 x \ (C * ((x / y) * (y / C))) = a(x / (C * y),y,C). [back_rewrite(2063),rewrite([21894(6)])].

22092 ((C * x) * x) / (C * ((x / C) * x)) = C. [para(220(a,1),350(a,1,2))].

22253 C * (x \ (C * ((C * y) / (x \ C)))) = (C * (x \ (C * y))) * x. [para(306(a,2),351(a,1,2)),rewrite([14010(4),14010(9),16(12,R),11601(13

),12505(10),14010(14),12505(15)])].

22690 (A \ (x * ((x \ (A * y)) * x))) / A = y * (x / A). [para(21328(a,1),39(a,2,2)),rewrite([13861(9),16162(8),12505(9),21351(11),13(16),21

328(14),21694(13),20832(9)])].

23565 (C * (x * y)) \ ((x * (y / x)) * (x * C)) = a(x,y / x,x * C). [para(360(a,1),101(a,1,2))].

24263 (C * x) * ((y / (C * C)) * x) = (x / C) * (y * x). [para(56(a,1),365(a,2)),rewrite([13407(7),16(14,R),52(14)])].

25402 (x * C) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),381(a,1,2,1)),rewrite([11(6),21785(4),13862(10),12498(14),21785(12),11(10)]),f

lip(a)].

27367 (x \ C) * ((x / (C * C)) * y) = ((0 / x) / C) * (x * y). [para(16261(a,1),421(a,1,2,2,2,2)),rewrite([12513(9),13786(10),13407(7),16(18

,R),52(18),12496(15),8(14)])].

28110 (C * x) * (((y * (z * (y / C))) / C) * x) = (x / C) * (y * (z * (y * x))). [para(425(a,1),348(a,2)),rewrite([79(9),13421(9),52(16)])].

28116 C / (x * (y * (z * (y * (C * x))))) = 0 / (x * (y * (z * (y * x)))). [para(425(a,1),13216(a,1,2))].

28704 (x / (y * (C * C))) * y = (x / y) * (y / (C * C)). [para(12558(a,1),349(a,1,2)),rewrite([11593(6),12558(13)])].

28744 C * (C * ((x / (C * (C * y))) * y)) = C * (C * ((x / y) * (y / (C * C)))). [back_rewrite(2371),rewrite([28704(18)])].

28746 x * ((x \ y) * x) = y / (0 / x). [para(9(a,1),12632(a,1,1)),flip(a)].

28749 (C * x) / (0 / x) = x * (C * x). [para(16(a,2),12632(a,1,1))].

28750 x / (C / x) = (x / C) * x. [para(52(a,1),12632(a,2,2)),rewrite([16(4,R),52(4),13215(4)])].

28775 (x / C) / (0 / x) = x * (x / C). [para(12513(a,1),12632(a,1,1)),rewrite([12498(9),79(7)])].

28776 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(12632(a,1),13215(a,1,2)),flip(a)].

28815 x / (A / y) = x * (y / A). [back_rewrite(22690),rewrite([28746(6),11593(7),12890(4),11(7)])].

28963 0 / ((x / C) * x) = (C / x) / x. [para(28750(a,1),13215(a,1,2))].

29063 x / (0 / y) = x * y. [para(11(a,1),28815(a,2,2)),rewrite([12862(4)])].

29065 x * (0 / y) = x / y. [para(29(a,1),28815(a,1,2)),rewrite([12503(5)]),flip(a)].

29171 (x / C) * x = x * (x / C). [back_rewrite(28775),rewrite([29063(5)])].

29186 (C * x) * x = x * (C * x). [back_rewrite(28749),rewrite([29063(5)])].

29188 x * ((x \ y) * x) = y * x. [back_rewrite(28746),rewrite([29063(6)])].

29241 C * (C * (x / (y \ C))) = (C * x) * y. [back_rewrite(13785),rewrite([29063(12)])].

29244 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(12868),rewrite([29063(3)])].

29248 (x * y) * x = x * (y * x). [back_rewrite(12632),rewrite([29063(4)])].

29249 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(12504),rewrite([29063(3)])].

29338 (C / x) / C = 0 / x. [back_rewrite(21802),rewrite([29065(7),12862(5),29065(6)])].

29403 x \ (y / x) = (x \ y) / x. [back_rewrite(18573),rewrite([29065(3)])].

29434 (x * y) / (x * x) = x * ((y / x) / x). [back_rewrite(15730),rewrite([29065(5),29065(7)])].

29496 x \ C = C / x. [back_rewrite(12873),rewrite([29065(4)]),flip(a)].

29499 (x / (y * y)) * a(x,0 / y,0 / y) = (x / y) / y. [back_rewrite(12760),rewrite([29065(4),29065(11),29065(12)])].

29500 ((x * x) / y) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(12756),rewrite([29065(4),29065(5),29065(6),13861(5)])].

29520 a(x,y,0 / y) = 0. [back_rewrite(12643),rewrite([29065(4),13837(3)]),flip(a)].

29524 (x * y) / x = x * (y / x). [back_rewrite(12633),rewrite([29065(4)])].

29649 (C / x) / x = C / (x * x). [back_rewrite(28963),rewrite([29171(4),16522(5)]),flip(a)].

29724 x * (C / x) = C. [back_rewrite(22092),rewrite([29186(3),29171(7),13414(8),29434(5),11(3)])].

29741 (0 / x) / C = 0 / (x * C). [back_rewrite(18511),rewrite([29171(4),13414(5),339(4),13406(3),13481(4)])].

29978 C * (x * (x * ((C / x) * y))) = (C * x) * (C * y). [back_rewrite(12083),rewrite([29186(4),13(10),13231(9)])].

30017 (C * x) * ((C * x) * y) = C * (x * (x * (C * y))). [back_rewrite(8619),rewrite([29186(4),498(6)]),flip(a)].

30374 x / (C * (C / x)) = x * (x / (C * C)). [back_rewrite(16275),rewrite([29496(3)])].

30413 x * (C * (C / x)) = C * C. [back_rewrite(12888),rewrite([29496(3)])].

30485 (C / x) / (x * C) = 0 / (x * x). [back_rewrite(16187),rewrite([30374(9),18285(8),29065(7),29338(9),29338(11),29065(10),12697(8)])].

30540 C * (C * (x / (C / y))) = (C * x) * y. [back_rewrite(29241),rewrite([29496(4)])].

30554 (C / x) * ((x / (C * C)) * y) = x \ ((x / C) * y). [back_rewrite(27367),rewrite([29496(2),29741(12),12498(14),25402(12)])].

30581 C * (x \ (C * ((C * y) / (C / x)))) = (C * (x \ (C * y))) * x. [back_rewrite(22253),rewrite([29496(6)])].

30586 (x * C) \ (C * y) = ((C / x) * y) / C. [back_rewrite(21787),rewrite([29741(4),12498(7),29496(7)])].

30626 x * (C / (x * x)) = C / x. [back_rewrite(19806),rewrite([29496(2),29649(3),29496(6)])].

30809 (x * y) * (x * C) = x * ((C * y) * x). [back_rewrite(19227),rewrite([29741(5),29063(6)])].

30843 (x * y) / (x * C) = x * ((y / x) / C). [back_rewrite(16705),rewrite([29741(5),29065(6)])].

30954 (x * C) * ((x * C) * y) = C * (x * (x * (C * y))). [back_rewrite(889),rewrite([30017(6)]),flip(a)].

31026 x \ ((C / x) * (x * y)) = ((C / x) * (C * y)) / C. [back_rewrite(21826),rewrite([30485(5),12498(7),339(5),349(4),30586(12)])].

31115 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y / x,x * C). [back_rewrite(23565),rewrite([30809(8)])].

31143 x * ((y / (C * (x * x))) * x) = x * ((y / x) / C). [back_rewrite(11615),rewrite([30843(10)])].

31237 (x * y) / (C / x) = x * ((y / C) * x). [para(29724(a,1),298(a,1,2,1,2)),flip(a)].

31259 (x * (C * x)) \ ((x * C) * y) = (C * x) \ (C * y). [para(29724(a,1),381(a,1,2,1)),rewrite([12862(9),28776(10),12498(14)]),flip(a)].

31279 a(x,0 / y,y) = 0. [para(29(a,1),29520(a,1,3)),rewrite([12620(2)])].

31280 a(x,y / z,z / y) = 0. [para(13215(a,1),29520(a,1,3))].

31293 (x * (y / z)) * (z / y) = x. [back_rewrite(13844),rewrite([31280(3),8(2)]),flip(a)].

31452 (x * (x / y)) * y = x * x. [para(31279(a,1),93(a,1,2)),rewrite([12(3),8(2),8(3),29065(4)]),flip(a)].

31516 (x * y) * (x * y) = x * (y * (x * y)). [para(29063(a,1),154(a,1,1,1)),rewrite([29248(2),29063(5),13(3),29063(6),29063(7)]),flip(a)].

31517 x * ((y / (x / z)) * x) = (x * y) * z. [para(29063(a,1),298(a,2)),rewrite([29065(3)])].

31519 (0 / x) / y = 0 / (y * x). [para(29063(a,1),13215(a,1,2)),flip(a)].

31520 x / (y / z) = x * (z / y). [para(13215(a,1),29063(a,1,2))].

31641 (x * y) * y = x * (y * y). [back_rewrite(18347),rewrite([31520(2),31452(3)]),flip(a)].

31689 x * ((y * (z / x)) * x) = (x * y) * z. [back_rewrite(31517),rewrite([31520(2)])].

31692 (x * y) * (x / C) = x * ((y / C) * x). [back_rewrite(31237),rewrite([31520(4)])].

31714 C * (x \ (C * (C * ((y / C) * x)))) = (C * (x \ (C * y))) * x. [back_rewrite(30581),rewrite([31520(7),365(7)])].

31718 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(30540),rewrite([31520(5)])].

31863 ((x * C) * (y * (C * C))) * (x / C) = C * ((C * x) * (y * x)). [back_rewrite(19032),rewrite([31520(10)])].

31865 (x * (y / z)) * ((z / y) * u) = (y / z) * (((z / y) * x) * u). [back_rewrite(16775),rewrite([31520(2)])].

31881 (x * y) / ((z / (x * u)) * x) = x * ((y * (u / (x * z))) * x). [back_rewrite(11787),rewrite([31520(8)])].

31994 a(x,y / x,x * C) = a(C,x,y). [back_rewrite(31115),rewrite([31689(8),1990(7)]),flip(a)].

32072 x \ (x / y) = 0 / y. [para(29065(a,1),10(a,1,2))].

32073 (x * (y * x)) / z = x * (y * (x / z)). [para(29065(a,1),13(a,1)),rewrite([29065(6)])].

32076 (x * x) / y = x * (x / y). [para(29065(a,1),31(a,1)),rewrite([29065(5)])].

32082 (x * (y * (z * (y * x)))) / u = x * (y * (z * (y * (x / u)))). [para(29065(a,1),37(a,1)),rewrite([29065(8)])].

32085 (C * (C / x)) * y = C * (x \ (C * y)). [para(29065(a,1),55(a,1,1,2)),rewrite([12498(11)])].

32088 (x * (y / z)) \ ((x * y) / z) = a(x,y,0 / z). [para(29065(a,1),64(a,1,1,2)),rewrite([29065(6)])].

32115 x \ (0 / y) = 0 / (y * x). [para(29065(a,1),12498(a,1)),rewrite([31519(3)]),flip(a)].

32137 (x * y) \ (x * z) = x \ ((x / y) * z). [para(29065(a,1),349(a,1,2,1)),rewrite([31519(6),12498(8)]),flip(a)].

32138 (x / (y * z)) * y = (x / y) * (y / z). [para(29065(a,1),349(a,1,2)),rewrite([11593(3),29065(7)])].

32145 (C * x) / (C * y) = C * ((x / C) / y). [para(29065(a,1),365(a,2,2)),rewrite([31519(6),29065(7)])].

32159 (x * y) * ((z / x) * (x / u)) = x * ((y / x) * ((x * z) / u)). [para(29065(a,1),385(a,1,2,2)),rewrite([29065(10)])].

32221 ((C * x) * y) \ (x * C) = 0 / y. [back_rewrite(18444),rewrite([32072(12)])].

32223 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(18441),rewrite([32072(7)]),flip(a)].

32226 (x * y) \ x = 0 / y. [back_rewrite(16163),rewrite([32072(4)])].

32276 (x * (x / y)) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(29500),rewrite([32076(2)])].

32468 (x * (C * x)) \ ((x * C) * y) = ((C / x) * y) / C. [back_rewrite(31259),rewrite([32137(12),79(12)])].

32572 (C * (C * x)) \ y = (x \ (y / C)) / C. [back_rewrite(10806),rewrite([32137(17),28116(11),12498(14),32137(12),13607(7),12498(11),32137(

9),12862(6),12498(6),10(4),79(3),79(5)]),flip(a)].

32573 (x * (y * x)) \ z = x \ (y \ (x \ z)). [back_rewrite(10748),rewrite([32137(11),13614(6),12498(10),32137(8),13607(4),12498(7),32137(5),

12862(2),12498(4),10(2)]),flip(a)].

32597 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [back_rewrite(4520),rewrite([32137(11),13216(6),12498(8),32137(6),79(7)])].

32636 (x * y) / ((z / x) * (x / u)) = x * ((y * (u / (x * z))) * x). [back_rewrite(31881),rewrite([32138(4)])].

32684 (x * (y / z)) * ((z / y) / u) = (y / z) * (((z / y) * x) / u). [back_rewrite(16814),rewrite([32138(5),31520(2)])].

32699 x \ ((x * y) / z) = (y / x) * (x / z). [back_rewrite(11593),rewrite([32138(6)])].

32712 x * a(x / (y * (C * z)),y,z * C) = ((x / y) * (y / (z * C))) * (z * C). [back_rewrite(2377),rewrite([32138(13)])].

32880 x \ (((C / x) * (x * y)) / C) = ((C / x) * y) / C. [back_rewrite(32468),rewrite([32573(7),349(5),79(6)])].

32917 a(x,0 / y,0 / y) = 0. [back_rewrite(32276),rewrite([32684(5),12(3),13837(3)]),flip(a)].

32973 (x / y) / y = x / (y * y). [back_rewrite(29499),rewrite([32917(7),8(4)]),flip(a)].

33011 0 / (x \ y) = y \ x. [para(29(a,1),32072(a,1,2)),flip(a)].

33012 (x / y) * (y * x) = x * x. [para(32072(a,1),345(a,1,2,2)),rewrite([32115(4),31520(5),28(4)])].

33013 (x \ y) \ x = y \ (x * x). [para(345(a,1),32072(a,1,2)),rewrite([33011(6)]),flip(a)].

33132 (x \ y) * (y \ x) = 0. [para(33011(a,1),12(a,1,1))].

33135 x * a(x,y \ z,z \ y) = (x * (y \ z)) * (z \ y). [para(33011(a,1),66(a,1,2,2)),rewrite([8(2),33011(7)])].

33139 (x \ y) \ z = (y \ x) * z. [para(33011(a,1),12498(a,1,1)),flip(a)].

33140 a(x \ y,(y \ x) * (y \ x),z) = 0. [para(33011(a,1),15975(a,1,1))].

33165 a(x,y \ z,z \ y) = 0. [para(33011(a,1),29520(a,1,3))].

33166 x / (y \ z) = x * (z \ y). [para(33011(a,1),29065(a,1,2)),flip(a)].

33168 x \ (y * y) = (x \ y) * y. [back_rewrite(33013),rewrite([33139(2)]),flip(a)].

33183 (x * (y \ z)) * (z \ y) = x. [back_rewrite(33135),rewrite([33165(3),8(2)]),flip(a)].

33329 x * ((x \ (y \ x)) * y) = (y \ x) * y. [para(33132(a,1),33(a,1,2,2)),rewrite([8(3),29249(6)]),flip(a)].

33334 (x \ (y * C)) * ((C * y) \ x) = 0. [para(245(a,2),33132(a,1,2))].

33344 x * ((x \ y) * (x * z)) = (y * x) * z. [para(33132(a,1),196(a,1,1,2)),rewrite([8(2),33132(4),8(3),33132(7),8(6),29249(8),33329(8),2918

8(7)])].

34692 (x * (y * (x / z))) / z = x * (y * (x / (z * z))). [para(32917(a,1),71(a,1,2)),rewrite([29065(5),32973(3),29065(4),8(6),29065(7),29065

(10)]),flip(a)].

34696 (C * x) * ((y * (z * (y / (C * C)))) * x) = (x / C) * (y * (z * (y * x))). [back_rewrite(28110),rewrite([34692(8)])].

34991 (x * C) * (C * (x * ((C / x) * y))) = C * ((x * C) * (C * y)). [para(89(a,2),474(a,2,1,2)),rewrite([29496(4),13216(4),29496(12),13216(

12),12498(11),348(10),30954(12),12498(13),21699(11),29524(8),30809(11),31689(11),29496(13),13216(13),31516(17),12498(19),21699(17),32073(14),

29724(13),31(15),55(16)])].

35208 (x * (y * (x * y))) * z = (x * y) * ((x * y) * z). [para(29188(a,1),432(a,1,1,2,2,2)),rewrite([33344(5),31516(3),33344(9),33344(10)])]

.

35212 (x / y) * x = x * (y \ x). [para(32072(a,1),29188(a,1,2,1)),rewrite([12498(3)]),flip(a)].

35340 (x * (x * (y * x))) * z = x * ((x * y) * (x * z)). [para(29248(a,1),13(a,1,1,2))].

35358 0 / a(x,y,x * z) = a(x * y,x,z). [para(29248(a,1),64(a,1,2,1)),rewrite([13(6),32223(7)])].

35381 x / (x * (y * x)) = 0 / (x * y). [para(29248(a,1),12862(a,1,2))].

35398 x \ ((x / y) * (y * (x * z))) = (x / (x * y)) * ((x * y) * z). [para(29248(a,1),349(a,1,2,1)),rewrite([13(4),32137(5)])].

35448 x * ((x \ y) / x) = y / x. [para(29403(a,1),9(a,1,2))].

35464 (x \ (y \ x)) / x = 0 / (y * x). [para(12503(a,1),29403(a,1,2)),rewrite([32115(3)]),flip(a)].

35478 x \ (y / (x * x)) = (x \ y) / (x * x). [para(29403(a,1),29403(a,2,1)),rewrite([32973(2),32973(6)])].

35569 (x / y) / x = x / (x * y). [para(29065(a,1),29524(a,1,1)),rewrite([31519(5),29065(6)])].

35748 C * (x * (y * (x / (C * C)))) = x * (y * (x / C)). [para(30626(a,1),425(a,2,2,2,2,2)),rewrite([13608(6),13608(9),29065(8),12498(9),79(

7),34692(7),13608(13),27(14),8(13),12498(14),79(12),32073(12)])].

35762 a(x * (y / z),z / y,u) = a(y / z,(z / y) * x,u). [para(31293(a,1),64(a,1,2,1)),rewrite([31865(5),16789(7)]),flip(a)].

35859 (C * (C / x)) \ ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [para(31452(a,1),382(a,2,2)),rewrite([16(4,R),32085(9),306(20,R),16(19,

R),11601(20),31520(16),365(16)])].

36413 0 / (x * ((y / x) * z)) = (z \ x) / (x * y). [para(348(a,1),31519(a,2,2)),rewrite([33166(3),7(3)]),flip(a)].

36454 (x * (y / z)) \ u = ((z / y) / x) * u. [para(31520(a,1),13861(a,1,1))].

36488 x / (y * (z / u)) = x * ((u / z) / y). [para(31520(a,1),31520(a,1,2))].

36490 (x / (C * C)) * ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [back_rewrite(35859),rewrite([36454(11),32973(4)])].

36496 ((x / y) / z) * ((z * y) / x) = a(z,y,0 / x). [back_rewrite(32088),rewrite([36454(5)])].

36540 x * ((y * (z / (x * u))) * x) = x * ((y / x) * ((x * z) / u)). [back_rewrite(32636),rewrite([36488(5),31520(4),32159(5)]),flip(a)].

36747 (x * (y * (x * x))) * z = x * ((y * x) * (x * z)). [para(31641(a,1),13(a,1,1,2))].

36999 (x * y) / (z * x) = x * ((y / x) / z). [para(32115(a,1),348(a,1,2)),rewrite([29065(5),29065(7)])].

37089 C * (x / (C * (C * (C * C)))) = (x / C) / (C * C). [para(32973(a,1),743(a,1,2)),rewrite([306(8,R),16(7,R),1101(16)])].

37122 (x / (y * y)) / y = (x / y) / (y * y). [para(32973(a,1),32973(a,1,1))].

37156 a(x / y,y,x) = 0. [para(33012(a,1),64(a,1,1)),rewrite([12(3),26(3)]),flip(a)].

37234 a(x,y,x * y) = 0. [para(11(a,1),37156(a,1,1))].

37335 a(x,0 / y,x / y) = 0. [para(29065(a,1),37234(a,1,3))].

37490 (x / y) * (x / y) = x * ((y \ x) / y). [para(37335(a,1),18(a,1,2)),rewrite([12498(4),29403(2),8(5),29065(6)]),flip(a)].

38253 (x / y) * (y * (x \ y)) = y. [para(35212(a,1),10(a,1,2)),rewrite([13861(4)])].

38516 a(x / y,y,x \ y) = 0. [para(38253(a,1),64(a,1,1)),rewrite([12(2),9(2),26(1)]),flip(a)].

38555 a(C / x,x,x / C) = 0. [para(79(a,1),38516(a,1,3))].

38632 a(C / x,x,x / (C * C)) = 0. [para(32973(a,1),38555(a,1,3)),rewrite([31520(4),35762(11),16(6,R),52(6)])].

42338 (x * C) * (C * y) = C * (C * (x * y)). [para(620(a,2),349(a,1,2,1)),rewrite([35208(6),30017(6),21699(7),29524(4),30809(7),31689(7),295

24(10),32076(9),30413(10),31(10)])].

42481 C * ((C * x) * (C * y)) = C * (C * (C * (x * y))). [back_rewrite(34991),rewrite([42338(9),29978(8),42338(13)])].

42504 a(x,C,C * y) = a(x,y,C * C). [back_rewrite(2048),rewrite([42338(10),2043(11)]),flip(a)].

42507 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(892),rewrite([42338(10)])].

42508 (x * (y * (C * C))) * a(x,C,C * y) = C * (C * (x * y)). [back_rewrite(789),rewrite([42338(15)])].

42518 C * (C * (C * ((x / (C * y)) * z))) = (C * ((C * x) / y)) * z. [back_rewrite(11656),rewrite([42481(10)])].

43048 (x / C) * (y * (C * x)) = C * ((x / C) * (y * x)). [para(12(a,1),622(a,2,2,2,2)),rewrite([1486(9)]),flip(a)].

43590 (x * C) * (y * C) = C * (C * (x * y)). [para(16(a,2),626(a,1,2,3)),rewrite([42508(10)]),flip(a)].

43601 (x * C) * (y * (C * C)) = C * (C * (x * (y * C))). [para(31641(a,1),626(a,1,2,3)),rewrite([306(6,R),16(5,R),1498(14),16(13,R),42338(14

)])].

43619 (C * x) * (C * y) = C * (C * (x * y)). [back_rewrite(893),rewrite([43590(10)])].

43622 C * ((C * x) * (y * x)) = C * (x * ((y * C) * x)). [back_rewrite(31863),rewrite([43601(7),365(10),29524(8),52(8),29248(5)]),flip(a)].

43676 (C * x) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(19608),rewrite([43622(12)])].

43691 (x * C) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(18890),rewrite([43622(12)])].

43699 (C * x) * (y * (C * x)) = C * (x * ((y * C) * x)). [back_rewrite(18661),rewrite([43622(12)])].

43911 C * (C * (x * (y / (C * C)))) = C * ((x / C) * y). [para(630(a,2),379(a,1,2,1)),rewrite([16(7,R),35340(8),31(7),669(16),79(13),29403(1

4),79(12),32973(14),35478(15),79(11),35478(16),29403(12),79(10),32973(12),32973(16),306(15,R),16(14,R),55(17),37089(15),977(12),29524(6),52(6

),32973(6),16(16,R),16(23,R),35340(26),31(25),42518(25),32145(19),743(19),32973(15),743(16)])].

44004 C * (C * ((x / (C * (C * y))) * y)) = C * (((x / y) / C) * y). [back_rewrite(28744),rewrite([43911(20)])].

44569 (C * x) * (y * x) = x * ((y * C) * x). [para(656(a,2),349(a,2)),rewrite([306(9,R),16(8,R),52(8),43699(7),10(8),52(12),36(12)]),flip(a)

].

44590 (x / C) * (y * (z * (y * x))) = x * ((y * (z * (y / C))) * x). [back_rewrite(34696),rewrite([44569(10),16(8,R),35748(8)]),flip(a)].

44596 (x / C) * (y * x) = x * ((y / C) * x). [back_rewrite(24263),rewrite([44569(8),16(6,R),743(6)]),flip(a)].

44605 (x / C) * (y * (C * x)) = C * (x * ((y / C) * x)). [back_rewrite(43048),rewrite([44596(11)])].

44767 C * (C * ((x / C) * y)) = x * (C * y). [para(880(a,1),659(a,2,2,2)),rewrite([16(9,R),11597(14),32145(9),36540(11),13407(9),30554(10),9

(7)])].

44776 (C * (x \ (C * y))) * x = C * (x \ (y * (C * x))). [back_rewrite(31714),rewrite([44767(8)]),flip(a)].

44781 (x * (C * y)) / C = C * ((x / C) * y). [back_rewrite(36490),rewrite([44776(10),21703(11),9(5)])].

44823 x \ ((C / x) * (x * y)) = C * (x \ y). [back_rewrite(31026),rewrite([44781(12),35569(10),13216(10),12498(9)])].

44834 C * ((x / C) * (y * (x * (C * C)))) = x * (C * (y * (C * x))). [back_rewrite(19295),rewrite([44781(10)])].

45923 (C / x) * (x * (x / (C * C))) = x / C. [para(38632(a,1),18(a,1,2)),rewrite([8(10),12(11),743(14)])].

47608 (x / C) * (y * (x / C)) = x * ((y / C) * (x / C)). [para(9(a,1),798(a,1,1,2,2,2)),rewrite([79(2),44605(6),30843(10),32073(7),34692(9),

35748(10),79(8),79(10)]),flip(a)].

48651 C * ((x / C) / (x * ((y * C) * x))) = 0 / ((x * C) * y). [para(29248(a,1),12866(a,1,2)),rewrite([43691(8),32145(9)])].

48783 x \ (C * (C * y)) = C * ((C / x) * y). [para(12892(a,1),381(a,2,1)),rewrite([33168(10),29496(8),16(10,R),31(11),55(12),43619(11),339(1

3),10(12),10(9),31(11),12498(12)]),flip(a)].

48819 x \ (y * (C * C)) = C * ((C / x) * y). [back_rewrite(10911),rewrite([48783(5)]),flip(a)].

48823 C * ((C / (x * (C * (y * C)))) * (x * y)) = a(x,y,C * C). [back_rewrite(2040),rewrite([48783(11)])].

48852 x \ (C * (y * C)) = C * ((C / x) * y). [back_rewrite(10907),rewrite([48819(10)])].

49052 (x / C) / (C * C) = x / (C * (C * C)). [para(13840(a,1),32076(a,2,2)),rewrite([37490(5),79(2),32973(4),30843(8),35569(5),13843(5),3712

2(7),31519(7),16(6,R),29065(8),29065(14)]),flip(a)].

49100 C * (x / (C * (C * (C * C)))) = x / (C * (C * C)). [back_rewrite(37089),rewrite([49052(16)])].

49557 a(C,x,y * x) = a(x,y,x * C). [para(11(a,1),31994(a,1,2)),flip(a)].

49558 a(x / C,y * (C / x),x) = a(C,x / C,y). [para(12(a,1),31994(a,1,3)),rewrite([31520(5)])].

49565 a(C * x,y,C * (C * x)) = a(C,C * x,y * (x * C)). [para(877(a,1),31994(a,1,2)),rewrite([16(6,R)])].

49796 (C / x) / (C * y) = C / (y * (C * x)). [para(366(a,1),32221(a,1,1)),rewrite([31(4),55(5),33168(9),29496(7),13216(7),16(7,R),29065(7),3

1(14),21703(15),44781(11),36413(12),29496(7)]),flip(a)].

50140 C * ((x / C) / (x * (y * x))) = C / (x * (C * y)). [para(365(a,1),35381(a,2,2)),rewrite([385(10),44596(9),29524(7),52(7),32145(7),3641

3(14),29496(9),49796(12)])].

50210 C / (x * (C * (y * C))) = 0 / ((x * C) * y). [back_rewrite(48651),rewrite([50140(9)])].

50220 C * (((x * C) * y) \ (x * y)) = a(x,y,C * C). [back_rewrite(48823),rewrite([50210(8),12498(8)])].

50382 (x * y) \ (y * z) = y \ ((x \ y) * z). [para(35464(a,1),349(a,2,1)),rewrite([9(3),12498(8)]),flip(a)].

50819 C * (x \ ((x / y) * (y / C))) = a(C,x,C * y). [para(886(a,1),102(a,1,2)),rewrite([16(5,R),43619(10),48783(11),13216(8),12498(8),32137(

6),32138(5)])].

50828 (x \ ((x / y) * (y * C))) / C = a(C * x,C,y). [para(886(a,1),32221(a,1,1)),rewrite([43619(5),16(10,R),32137(11),13216(6),12498(8),3213

7(6),79(7),35358(13)])].

51381 a(x,y / (C * C),C * C) = a(x,C,y / C). [para(743(a,1),42504(a,1,3)),flip(a)].

51470 ((x / C) / y) * (y * C) = C * (((x / y) / C) * y). [para(880(a,1),888(a,1,1)),rewrite([16(4,R),32712(10),12862(6),29065(5),16(10,R),16

(13,R),42507(16),44004(16)])].

51476 0 / a(C,x,y * C) = a(C * C,x,y). [para(888(a,1),32221(a,1,1)),rewrite([42507(5),16(10,R),32137(11),13216(6),12498(8),32137(6),79(7),32

597(7)]),flip(a)].

51553 (x / y) * (C * (y * y)) = (C * x) * y. [para(891(a,2),349(a,2)),rewrite([30809(4),10(5)]),flip(a)].

51944 (x * y) * (C * x) = x * ((C * y) * x). [para(897(a,2),36(a,1,2)),rewrite([51553(5)]),flip(a)].

52538 a(C,x / C,y * (x / C)) = a(x / C,y,x). [para(12(a,1),49557(a,2,3))].

52554 a(C,C * x,y * (x * C)) = a(C,x * C,y * (C * x)). [para(49557(a,1),2054(a,1)),rewrite([16(6,R),49565(7)])].

52574 a(C,x,x * (y \ x)) = a(x,x / y,x * C). [para(35212(a,1),49557(a,1,3))].

52605 (x / y) * (z * (C * C)) = C * ((C * (x / y)) * z). [para(916(a,1),13861(a,2)),rewrite([48852(6),31520(4)]),flip(a)].

52986 (x / y) * (C * (C * z)) = C * ((C * (x / y)) * z). [para(920(a,2),13861(a,2)),rewrite([48819(6),31520(4)]),flip(a)].

54292 (x * C) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(16(a,2),973(a,2,1)),rewrite([973(10),977(14)])].

54294 0 / a(x,C,y / (C * C)) = a(C,x / C,y / C). [para(973(a,1),32226(a,1,1)),rewrite([54292(7),2000(11)]),flip(a)].

54335 C * ((x / (C * (C * C))) * y) = (x / C) * (y / C). [para(977(a,1),363(a,1,1)),rewrite([29524(9),13407(8),49052(7),743(17)])].

54336 (x * y) / (C * C) = (x / C) * (y / C). [para(977(a,1),381(a,1,2,1)),rewrite([27(7),7(8),52(7),339(5),79(4),29403(5),79(3),32973(5),329

73(13),306(12,R),16(11,R),31(17),52986(18),49100(16),54335(14)])].

54764 a(C / x,x * (x / (C * C)),y) = 0. [para(79(a,1),33140(a,1,2,1)),rewrite([29496(2),79(6),37490(7),79(4),32973(6)])].

55893 (x * (y * (C * z))) / C = (C * x) * ((y / C) * z). [para(1224(a,1),382(a,2,2)),rewrite([31(7),31(15),52986(16),743(14),43619(13),48783

(14),13608(6),12498(11),349(9),36(10),31(14),55(15),21703(16)]),flip(a)].

56265 (x / (C * y)) * y = (x / y) * (y / C). [para(1236(a,1),10(a,1,2)),rewrite([32699(4)]),flip(a)].

56267 x * ((y / (C * x)) * (x * z)) = ((x * y) / C) * z. [para(1236(a,1),13(a,1,1)),flip(a)].

56270 (x / C) * (C * y) = C * (x * (y / C)). [para(625(a,1),1236(a,1,2,1,2)),rewrite([43699(11),16(8,R),36540(10),54336(8),13859(9),363(10)]

),flip(a)].

56275 x * (((y / x) / C) * x) = (x / C) * y. [para(1236(a,1),365(a,2,2)),rewrite([52(6),13407(8),44569(9),16(7,R),743(7),52(12)])].

56277 (x * (x * y)) / C = x * ((x / C) * y). [para(1236(a,1),428(a,2)),rewrite([56265(10),32076(9),1709(11),8(6),56265(6),32076(5),11597(7),

29524(2),31692(5),56275(5),31(6)]),flip(a)].

56342 C * ((x / C) * (y / C)) = (x * y) / C. [para(1236(a,1),902(a,2)),rewrite([56267(8),56270(6),36999(9),13407(7),54336(6),11(8)])].

56439 ((C * x) * y) / C = C * (x * (y / C)). [back_rewrite(363),rewrite([56270(10)])].

56448 (x * (x / (C * C))) * y = x * ((x / C) * (y / C)). [back_rewrite(13449),rewrite([56277(6)]),flip(a)].

56470 (C * x) * (y / (C * C)) = (x * y) / C. [back_rewrite(977),rewrite([56342(14)])].

57243 C / (x * (C * (C * (x * y)))) = 0 / (x * (x * (C * y))). [para(1255(a,1),13216(a,1,2))].

65392 (x \ ((C / y) * (y * x))) / C = a(C,x,y * (x * C)). [para(1498(a,1),102(a,1,2)),rewrite([16(6,R),43676(12),32137(13),13216(7),12498(10

),32137(8),12862(3),12498(7),349(5),79(7)])].

67104 (C / x) * (x * ((x / C) * y)) = C * (x * (y / C)). [para(54764(a,1),886(a,1,2)),rewrite([56448(10),11(8),8(9),45923(15),56270(12)])].

67105 (x / C) * (y * C) = C * (x * (y / C)). [para(54764(a,1),888(a,1,2)),rewrite([56448(10),29524(8),52(8),67104(7),8(7),45923(13)]),flip(a

)].

67153 a(C,x * C,y * (C * x)) = a(C,x,y * (x * C)). [para(115(a,1),1639(a,1,2)),rewrite([1500(8),43699(7),13(16),32137(17),13216(9),12498(14)

,32137(12),12862(5),12498(11),50382(9),29496(4),35398(9),13216(5),12498(7),29244(5),29496(3),79(7),65392(7)]),flip(a)].

67165 a(C,C * x,y * (x * C)) = a(C,x,y * (x * C)). [back_rewrite(52554),rewrite([67153(14)])].

67167 a(C * x,y,C * (C * x)) = a(C,x,y * (x * C)). [back_rewrite(49565),rewrite([67165(14)])].

68025 a(C,C * (x * (y * x)),z) = a(C,x * (y * x),z). [para(1698(a,1),49557(a,1,3)),rewrite([16(21,R),67167(22),16(18,R),1698(19)])].

69250 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(1871(a,1),349(a,1,2))].

69252 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(1871(a,1),381(a,1,2)),rewrite([11(7),32137(6),79(6),12862(10),1871(13),12498(

14),69250(12)])].

69324 C * ((C / x) * (x * (y / C))) = (C / x) * (x * y). [back_rewrite(21814),rewrite([69250(7)])].

69326 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(32880),rewrite([69252(6),44823(7)]),flip(a)].

69328 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(69252),rewrite([69326(6),32699(5)]),flip(a)].

69353 (C * (x / y)) * y = (C / y) * (y * x). [back_rewrite(69324),rewrite([69328(7),31718(8)])].

70055 a(x / (C * y),y,C) = a(x / C,y,x). [para(56(a,1),1977(a,1,1)),rewrite([79(2),79(4),16(6,R),52(6),44596(4),79(6),32137(9),12862(4),3152

0(4),7(4),69328(6),21942(7),79(8),79(10),52538(12)])].

70330 (C * x) \ ((C / y) * (y * x)) = a(C,x / y,y). [para(16(a,1),1979(a,1,2,1)),rewrite([16(5,R),69353(6)])].

70331 (x * y) \ (C * (x * (y / C))) = a(x,y / C,C). [para(16(a,2),1979(a,1,2))].

70332 a(x / (C * y),y,C) = a(C,(x / C) / y,y). [para(52(a,1),1979(a,1,1)),rewrite([69353(6),69328(6),21942(7)])].

70356 a(x * C,y / C,C) = 0 / a(x,C,y). [para(1871(a,1),1979(a,1,2,1)),rewrite([16(10,R),44767(10),32223(7)]),flip(a)].

70360 a(x / C,y,x) = a(C,(x / C) / y,y). [back_rewrite(70055),rewrite([70332(5)]),flip(a)].

70582 a(C * C,x,y) = a(C * x,C,y). [para(358(a,1),1983(a,1,2,1)),rewrite([52986(8),52(6),55(10),32137(11),13216(6),12498(8),32137(6),79(7),3

2597(7),16(9,R),52(9)])].

70593 a(x * ((y / x) / C),x,C) = a(x,C,y / C). [para(1229(a,1),1983(a,1,1,2)),rewrite([56265(7),32076(6),11597(8),29524(3),31692(6),56275(6)

,16(6,R),1999(7),31143(10)]),flip(a)].

70848 a(C,x / (C * y),y * C) = a(C,x / y,y). [para(879(a,1),1990(a,1,1,2)),rewrite([16(7,R),42507(10),56265(8),31718(10),69353(6),70330(7)])

,flip(a)].

70863 a(C,x,C * (y * C)) = a(C,x,C * y). [para(916(a,1),1990(a,1,2)),rewrite([43601(14),48783(15),13216(10),12498(12),32137(10),56265(9),11(

8),32138(5),50819(7)]),flip(a)].

70923 ((x * y) \ ((C * x) * y)) / C = a(C * x,y,C). [para(76(a,1),1991(a,1,1)),rewrite([42338(5),32137(11),13216(6),12498(8),79(7)])].

70938 x \ (C * (((x / y) / C) * y)) = a(x * y,x,C). [para(29248(a,1),1991(a,1,2,2)),rewrite([51944(4),32573(9),21699(7),11(4),50382(6),79(2)

,67105(5),21699(6),51470(6)])].

70990 a(x,C,y / (C * C)) = a(x,y,0 / C). [para(743(a,1),1992(a,1,1,2)),rewrite([56470(10),36454(7),36496(7)]),flip(a)].

71024 a(C,x / C,y / C) = 0 / a(x,y,0 / C). [back_rewrite(54294),rewrite([70990(7)]),flip(a)].

71240 a(C * C,x,y * x) = a(C * x,C,y). [para(56(a,1),1998(a,1,1,2)),rewrite([55(12),32137(13),13607(7),12498(10),32137(8),12862(3),12498(7),

21699(5),79(7),50828(7)]),flip(a)].

71249 a(C * C,x,y / C) = 0 / a(C,x,y). [para(365(a,1),1998(a,1,2)),rewrite([31718(7),29524(8),52(8),32223(7)]),flip(a)].

71261 a(C * C,C * (x * C),y) = a(x,C,y). [para(619(a,1),1998(a,1,2,1)),rewrite([13(7),37(18),48783(19),13216(12),12498(16),32572(14),55893(1

1),27(9),7(8),1992(8),52(6)]),flip(a)].

71419 a(x / y,C,y / C) = a(x * y,x,C). [para(12(a,1),1999(a,1,1)),rewrite([70938(7)]),flip(a)].

71423 a(x,C,(y * x) / C) = a(x * y,x,C). [para(56(a,2),1999(a,1,2,2)),rewrite([16(4,R),52(4),47608(10),13419(11),32573(9),21699(7),11(4),671

05(5),21699(6),51470(6),70938(7),16(8,R),52(8)]),flip(a)].

71447 x / a(y,C,z / C) = x * a(C,y / C,z). [para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].

71456 a(x,C,(C * y) * x) = a(C * x,C,y). [para(621(a,2),1999(a,1,1)),rewrite([44834(16),32572(13),32082(10),52(7),32137(7),12862(2),12498(6)

,21699(4),50828(7),55893(12),16(11,R),52(11)]),flip(a)].

71560 x \ (C * ((x / y) * (y / C))) = a(x / C,y,x). [para(56(a,1),2000(a,1,1)),rewrite([16(6,R),52(6),44596(4),32137(9),12862(4),31520(4),7(

4),69328(6),52538(14)])].

71567 a(C,x / C,(y * (C / x)) * x) = a(x,y,C). [para(358(a,1),2000(a,1,1,2)),rewrite([44767(7),31520(6),52(10),31689(8),16(6,R),1991(7),3152

0(8),52(12)]),flip(a)].

71574 a(C,x / C,C * y) = a(C * x,y,C). [para(619(a,1),2000(a,1,1)),rewrite([52605(8),52(6),32572(11),44781(8),67105(7),31718(8),70923(7),708

63(12)]),flip(a)].

71584 a(C * x,y * x,C) = a(x / C,y,x). [para(656(a,1),2000(a,1,1)),rewrite([306(9,R),16(8,R),52(8),44590(8),27(4),8(3),52(9),32137(9),12862(

4),12498(8),32137(6),79(6),69326(6),32699(5),71560(7),52(11),71574(10)]),flip(a)].

71730 a(C,C * (x * C),y) = a(C,x,y). [para(619(a,1),2001(a,1,2,1)),rewrite([16(7,R),35340(8),43619(7),37(18),48783(19),57243(12),12498(16),3

2572(14),55893(11),27(9),7(8),64(8),52(6),68025(10)]),flip(a)].

71739 a(C,C * x,C * y) = a(x,y / C,C). [para(2001(a,1),1374(a,1)),rewrite([43590(12),43619(20),48783(21),13216(16),12498(18),32572(16),56439

(13),70331(14),52(14)])].

71877 a(C * (C * (C * x)),y,z) = a(x,y,z). [para(55(a,1),2002(a,1,1,1)),rewrite([36747(8),42338(7),55(15),43619(14),55(16),43619(15),48783(1

7),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71878 a(C * (x * (C * C)),y,z) = a(x,y,z). [para(56(a,2),2002(a,1,2,1,1)),rewrite([16(6,R),36747(8),42338(7),35340(15),43619(14),55(16),4361

9(15),48783(17),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71884 a(C,x,C * y) = a(C,x,y). [para(1257(a,2),2002(a,1,2,1,1)),rewrite([16(13,R),450(15),450(29),55(30),43619(29),55(27),43619(26),48783(31

),57243(18),52986(28),29065(19),57243(17),52986(23),29065(18),57243(16),12498(18),32572(16),56439(13),32137(14),13216(9),12498(11),32137(9),7

9(10),32973(12),743(13),52(10),50819(7),71877(18),71878(12)])].

71949 a(C,C * x,y) = a(x,y / C,C). [back_rewrite(71739),rewrite([71884(6)])].

71950 a(C * x,y,C) = a(C,x / C,y). [back_rewrite(71574),rewrite([71884(6)]),flip(a)].

71965 a(C,x,y * C) = a(C,x,y). [back_rewrite(70863),rewrite([71884(6),71884(8)])].

72052 a(C,x / C,y * x) = a(x / C,y,x). [back_rewrite(71584),rewrite([71950(5)])].

72078 a(C,x / (C * y),y) = a(C,x / y,y). [back_rewrite(70848),rewrite([71965(7)])].

72083 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(51476),rewrite([71965(5)]),flip(a)].

72085 a(C,x / C,y) = a(x,y,C). [back_rewrite(71567),rewrite([72052(8),49558(6)])].

72100 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71261),rewrite([72083(8),71730(7)])].

72102 a(x,C,y / C) = a(x,C,y). [back_rewrite(71249),rewrite([72083(6),72100(6),72100(8)])].

72103 a(C * x,C,y) = a(x,C,y * x). [back_rewrite(71240),rewrite([72083(5),72100(5)]),flip(a)].

72107 a(C * x,C,y) = a(x,C,y). [back_rewrite(70582),rewrite([72083(4),72100(4)]),flip(a)].

72140 a(x / C,y,x) = a(x,y * x,C). [back_rewrite(72052),rewrite([72085(5)]),flip(a)].

72190 x / a(y,C,z) = x * a(y,z,C). [back_rewrite(71447),rewrite([72102(4),72085(7)])].

72199 0 / a(x,y,0 / C) = a(x,y / C,C). [back_rewrite(71024),rewrite([72085(6)]),flip(a)].

72217 a(x,(y * (C / x)) * x,C) = a(x,y,C). [back_rewrite(49558),rewrite([72140(6),72085(10)])].

72256 a(x * y,x,C) = a(x,C,y * x). [back_rewrite(71423),rewrite([72102(5)]),flip(a)].

72258 a(x / y,C,y) = a(x,C,y * x). [back_rewrite(71419),rewrite([72102(5),72256(6)])].

72259 a(x,C,((y / x) / C) * x) = a(x,C,y). [back_rewrite(70593),rewrite([72256(6),72102(10)])].

72264 a(x,y / (C * C),C * C) = a(x,C,y). [back_rewrite(51381),rewrite([72102(12)])].

72305 a(x,C,y * x) = a(x,C,y). [back_rewrite(72103),rewrite([72107(4)]),flip(a)].

72311 a(x,C,C * y) = a(x,C,y). [back_rewrite(71456),rewrite([72305(5),72107(8)])].

72399 a(C,(x / C) / y,y) = a(x,y * x,C). [back_rewrite(70360),rewrite([72140(3)]),flip(a)].

72407 a(x * C,y / C,C) = a(x,y,C). [back_rewrite(70356),rewrite([72190(10),7(10)])].

72453 a(x,C,y / x) = a(x,C,y). [back_rewrite(72259),rewrite([72305(6),72102(5)])].

72454 a(x / y,C,y) = a(x,C,y). [back_rewrite(72258),rewrite([72305(6)])].

72455 a(x * y,x,C) = a(x,C,y). [back_rewrite(72256),rewrite([72305(6)])].

72534 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72311(4)]),flip(a)].

72588 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72264),rewrite([72534(8),70990(6)])].

72596 C * (((x * C) * y) \ (x * y)) = a(x,C,y). [back_rewrite(50220),rewrite([72534(11)])].

72613 a(x,y / C,C) = a(x,y,C). [back_rewrite(72199),rewrite([72588(5),72190(4),7(4)]),flip(a)].

72659 a(x * C,y,C) = a(x,y,C). [back_rewrite(72407),rewrite([72613(6)])].

72661 a(C,C * x,y) = a(x,y,C). [back_rewrite(71949),rewrite([72613(8)])].

72700 a(C,x,y) = a(x,y,C). [back_rewrite(71730),rewrite([72661(6),72659(4)]),flip(a)].

72789 a(C,x * y,x) = a(x,C,y). [back_rewrite(72455),rewrite([72700(3,R)])].

72827 a(C,(x / C) / y,y) = a(C,x / y,y). [back_rewrite(70332),rewrite([72700(5,R),72078(5)]),flip(a)].

72969 a(C,x / y,y) = a(x,y * x,C). [back_rewrite(72399),rewrite([72827(5)])].

72974 (C * (x * y)) * a(x,y,C) = (C * x) * y. [para(72700(a,1),18(a,1,2))].

72990 a(x,y * x,C) = a(x,y,x * C). [para(72700(a,1),49557(a,1))].

73056 a(C,x / y,y) = a(x,y,x * C). [back_rewrite(72969),rewrite([72990(6)])].

73058 a(x,y * (C / x),x * C) = a(x,y,C). [back_rewrite(72217),rewrite([72990(6)])].

73189 a(x,y,C) * a(x,C,y) = 0. [para(2003(a,1),33334(a,1,1)),rewrite([72700(4,R),72661(4),42507(12),48783(13),13216(10),12498(10),72596(9)])

].

74047 a(x * (y \ z),C,z \ y) = a(x,C,z \ y). [para(33166(a,1),72454(a,1,1))].

74109 a(x * (C / y),C,y) = a(x,C,y). [para(72454(a,1),72102(a,1)),rewrite([72102(4),31520(5)]),flip(a)].

74199 a(x,C,x \ y) = a(C,y,x). [para(9(a,1),72789(a,1,2)),flip(a)].

74200 a(C,x,x / y) = a(x,C,y). [para(12(a,1),72789(a,1,2)),rewrite([72454(6)])].

74224 a(C,x,x * (y \ z)) = a(x,C,z \ y). [para(33183(a,1),72789(a,1,2)),rewrite([74047(9)])].

74228 a(C,x / y,y) = a(C,x,y). [para(35448(a,1),72789(a,1,2)),rewrite([72453(7),74199(6)])].

74274 a(x,x / y,x * C) = a(C,y,x). [back_rewrite(52574),rewrite([74224(4),74199(3)]),flip(a)].

74279 a(x,y,x * C) = a(C,x,y). [back_rewrite(73056),rewrite([74228(3)]),flip(a)].

74302 a(C,x,y) = a(y,C,x). [back_rewrite(74274),rewrite([74279(4),74200(3)]),flip(a)].

74306 a(C,x,y * (C / x)) = a(x,y,C). [back_rewrite(73058),rewrite([74279(6)])].

74414 a(x,C,y) = a(y,x,C). [back_rewrite(74109),rewrite([74302(5,R),74306(5)]),flip(a)].

74636 a(A,c4,C) * (a(A,c4,C) * a(A,c4,C)) != 0. [back_rewrite(21),rewrite([74414(4),74414(8),74414(12)])].

163954 a(x,y,C) * a(x,y,C) = a(x,C,y). [para(13631(a,1),33012(a,1,1)),rewrite([72974(11),12498(9),1992(7)]),flip(a)].

163962 $F. [back_rewrite(74636),rewrite([163954(13),73189(9)]),xx(a)].

============================== end of proof ==========================

============================== PROOF =================================

% Proof 2 at 345.56 (+ 1.77) seconds.

% Length of proof is 587.

% Level of proof is 52.

% Maximum clause weight is 39.000.

% Given clauses 6302.

6 a(A,x,C) * (a(A,x,C) * a(A,x,C)) = 0 # label(non_clause) # label(goal). [goal].

7 0 * x = x. [assumption].

8 x * 0 = x. [assumption].

9 x * (x \ y) = y. [assumption].

10 x \ (x * y) = y. [assumption].

11 (x * y) / y = x. [assumption].

12 (x / y) * y = x. [assumption].

13 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

14 x * ((y * A) * x) = (x * y) * (A * x). [assumption].

15 (x * y) * (A * x) = x * ((y * A) * x). [copy(14),flip(a)].

16 C * x = x * C. [assumption].

17 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

18 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(17),flip(a)].

24 a(A,c7,C) * (a(A,c7,C) * a(A,c7,C)) != 0. [deny(6)].

26 x \ x = 0. [para(8(a,1),10(a,1,2))].

27 x / x = 0. [para(7(a,1),11(a,1,1))].

28 x / 0 = x. [para(8(a,1),11(a,1,1))].

29 x / (y \ x) = y. [para(9(a,1),11(a,1,1))].

30 (x / y) \ x = y. [para(12(a,1),10(a,1,2))].

31 (x * x) * y = x * (x * y). [para(7(a,1),13(a,1,1,2)),rewrite([7(5)])].

33 (x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z. [para(9(a,1),13(a,1,1,2)),flip(a)].

34 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(13(a,1),10(a,1,2))].

35 (x * (y * (x * z))) / z = x * (y * x). [para(13(a,1),11(a,1,1))].

36 x * ((y / x) * (x * z)) = (x * y) * z. [para(12(a,1),13(a,1,1,2)),flip(a)].

37 (x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))). [para(13(a,1),13(a,1,1,2)),rewrite([13(9)])].

39 x * (((x \ y) * A) * x) = y * (A * x). [para(9(a,1),15(a,1,1)),flip(a)].

42 (x * ((y * A) * x)) / (A * x) = x * y. [para(15(a,1),11(a,1,1))].

43 (x / y) * ((y * A) * (x / y)) = x * (A * (x / y)). [para(12(a,1),15(a,1,1)),flip(a)].

48 C \ (x * C) = x. [para(16(a,1),10(a,1,2))].

49 x \ (C * x) = C. [para(16(a,2),10(a,1,2))].

51 (C * x) / C = x. [para(16(a,2),11(a,1,1))].

52 C * (x / C) = x. [para(16(a,2),12(a,1))].

53 (x * (x * C)) * y = x * (C * (x * y)). [para(16(a,1),13(a,1,1,2))].

54 C * (x * (C * y)) = C * (x * (y * C)). [para(16(a,1),13(a,2,2,2)),rewrite([13(5)])].

55 (C * (C * x)) * y = C * (x * (C * y)). [para(16(a,2),13(a,1,1,2))].

56 C * (x * (y * x)) = x * (y * (x * C)). [para(16(a,2),13(a,1))].

57 C * (x * (y * x)) = x * (y * (C * x)). [para(16(a,2),13(a,2,2,2)),rewrite([16(4,R)])].

59 (C * x) * (A * x) = x * ((A * C) * x). [para(16(a,2),15(a,1,1)),rewrite([16(8)])].

63 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(9(a,1),18(a,1,1,2))].

64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(18(a,1),10(a,1,2))].

66 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(12(a,1),18(a,1,1,2))].

71 (x * (y * (x * (z * u)))) * a(x * (y * x),z,u) = (x * (y * (x * z))) * u. [para(13(a,1),18(a,1,1)),rewrite([13(11)])].

76 (C * x) * y = (x * C) * y. [para(16(a,1),18(a,2,1)),rewrite([18(6)])].

77 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(16(a,2),18(a,1,1,2)),rewrite([16(9,R)])].

79 C \ x = x / C. [para(12(a,1),48(a,1,2))].

82 x * (x * ((x * x) \ y)) = y. [para(31(a,1),9(a,1))].

84 (x * (x * y)) / y = x * x. [para(31(a,1),11(a,1,1))].

85 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(31(a,1),13(a,1,1,2)),rewrite([31(7)])].

89 C * (x * x) = x * (x * C). [para(31(a,1),16(a,2))].

90 C * (C * x) = C * (x * C). [para(16(a,1),31(a,2,2)),rewrite([31(4)])].

91 C * (x * x) = x * (C * x). [para(16(a,2),31(a,2,2)),rewrite([16(3,R)])].

93 (x * (x * (y * z))) * a(x * x,y,z) = (x * (x * y)) * z. [para(31(a,1),18(a,1,1)),rewrite([31(8)])].

96 (x / C) * (C * ((x / C) * y)) = ((x / C) * x) * y. [para(52(a,1),13(a,1,1,2)),flip(a)].

97 C * (C * ((x / C) * A)) = x * (A * C). [para(52(a,1),15(a,1,1)),rewrite([16(11,R)]),flip(a)].

98 (x * y) * a(x,C,y / C) = (x * C) * (y / C). [para(52(a,1),18(a,1,1,2))].

99 (x * C) * ((C * x) \ y) = y. [para(76(a,1),9(a,1))].

101 (C * x) \ ((x * C) * y) = y. [para(76(a,1),10(a,1,2))].

102 (x * C) \ ((C * x) * y) = y. [para(76(a,2),10(a,1,2))].

114 ((C * x) * y) * z = ((x * C) * y) * z. [para(76(a,1),18(a,2,1)),rewrite([18(8)])].

115 (x * ((C * y) * z)) * a(x,y * C,z) = (x * (y * C)) * z. [para(76(a,2),18(a,1,1,2))].

119 ((x * C) * (C * x)) * y = (C * x) * ((C * x) * y). [para(76(a,1),31(a,1,1))].

138 x * ((x * x) \ y) = x \ y. [para(82(a,1),10(a,1,2)),flip(a)].

140 x * a(y,y,(y * y) \ x) = x. [para(82(a,1),18(a,1,1)),rewrite([9(8)])].

153 (x * y) / (x \ y) = x * x. [para(9(a,1),84(a,1,1,2))].

154 ((x / y) * x) / y = (x / y) * (x / y). [para(12(a,1),84(a,1,1,2))].

156 ((x * y) * (x * ((y * A) * x))) / (A * x) = (x * y) * (x * y). [para(15(a,1),84(a,1,1,2))].

158 (C * (x * C)) / x = C * C. [para(16(a,1),84(a,1,1,2))].

159 (x * (C * x)) / C = x * x. [para(16(a,2),84(a,1,1,2))].

166 x \ (C * (x * x)) = x * C. [para(89(a,2),10(a,1,2))].

196 (x * ((x \ y) * z)) * ((x \ y) * ((x * ((x \ y) * z)) * u)) = ((x * ((x \ y) * z)) * (((x \ y) * y) * z)) * u. [para(33(a,1),13(a,1,1,2)

),flip(a)].

197 ((x * (y * x)) \ z) * (x * (y * (x * (((x * (y * x)) \ z) * u)))) = (((x * (y * x)) \ z) * z) * u. [para(13(a,1),33(a,1,2))].

199 (x \ y) * (x * (C * (x \ y))) = C * ((x \ y) * y). [para(16(a,2),33(a,1,2,2)),rewrite([16(10,R)])].

220 (x / C) * (C * x) = C * ((x / C) * x). [para(90(a,2),33(a,1,2)),rewrite([79(2),79(6),52(7),79(7),16(10,R)])].

245 (C * x) \ y = (x * C) \ y. [para(99(a,1),10(a,1,2)),flip(a)].

251 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(9(a,1),34(a,1,2,2,2))].

282 (C * x) \ (x * C) = 0. [para(8(a,1),101(a,1,2))].

288 (C * (C * x)) \ (C * (x * C)) = 0. [para(76(a,1),282(a,1,2)),rewrite([16(8,R)])].

292 (x * C) \ (C * x) = 0. [para(8(a,1),102(a,1,2))].

296 (x * (y * z)) / (x \ z) = x * (y * x). [para(9(a,1),35(a,1,1,2,2))].

297 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(12(a,1),35(a,1,1,2,2))].

298 x * ((y / (x * z)) * x) = (x * y) / z. [para(12(a,1),35(a,1,1,2)),flip(a)].

300 (x * (y * (z * (y * (x * u))))) / u = x * (y * (z * (y * x))). [para(13(a,1),35(a,1,1,2)),rewrite([13(9)])].

301 ((x * y) * (z * (x * ((y * A) * x)))) / (A * x) = (x * y) * (z * (x * y)). [para(15(a,1),35(a,1,1,2,2))].

302 (A * (x * ((y * A) * x))) / x = A * ((x * y) * A). [para(15(a,1),35(a,1,1,2))].

306 C * (x * C) = x * (C * C). [para(35(a,1),51(a,1))].

311 ((x * C) * (y * ((C * x) * z))) / z = (C * x) * (y * (C * x)). [para(76(a,1),35(a,1,1))].

312 (C * x) * (y * (C * x)) = (x * C) * (y * (x * C)). [para(76(a,2),35(a,1,1,2,2)),rewrite([311(8)])].

339 (x * x) \ y = x \ (x \ y). [para(138(a,1),10(a,1,2)),flip(a)].

345 x / (y \ (y \ x)) = y * y. [para(138(a,1),84(a,1,1,2)),rewrite([9(2),339(2)])].

347 x * a(y,y,y \ (y \ x)) = x. [back_rewrite(140),rewrite([339(2)])].

348 (x * y) * (x \ z) = x * ((y / x) * z). [para(9(a,1),36(a,1,2,2)),flip(a)].

349 x \ ((x * y) * z) = (y / x) * (x * z). [para(36(a,1),10(a,1,2))].

350 ((x * y) * z) / ((y / x) * (x * z)) = x. [para(36(a,1),11(a,1,1))].

351 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) * y. [para(12(a,1),36(a,1,2,2))].

358 x * ((y / x) * (C * x)) = C * (x * y). [para(16(a,2),36(a,1,2,2)),rewrite([16(8,R)])].

360 ((x * y) * z) * a(x,y / x,x * z) = (x * (y / x)) * (x * z). [para(36(a,1),18(a,1,1))].

363 ((C * x) * y) / C = (x / C) * (C * y). [para(36(a,1),51(a,1,1))].

365 (C * x) * (y / C) = C * ((x / C) * y). [para(52(a,1),36(a,1,2,2)),flip(a)].

366 (x * C) * ((y / (C * x)) * ((C * x) * z)) = ((C * x) * y) * z. [para(36(a,1),76(a,1)),flip(a)].

381 (C * x) \ (((x * C) * y) * z) = (y / (x * C)) * ((x * C) * z). [para(36(a,1),101(a,1,2))].

382 (x * C) \ (((C * x) * y) * z) = (y / (C * x)) * ((C * x) * z). [para(36(a,1),102(a,1,2))].

385 (x * y) * ((z / x) * (x * u)) = x * ((y / x) * ((x * z) * u)). [para(36(a,1),36(a,1,2,2)),flip(a)].

386 x / (x \ 0) = x * x. [para(8(a,1),153(a,1,1))].

391 (x * C) / (x / C) = C * C. [para(16(a,1),153(a,1,1)),rewrite([79(4)])].

392 (C * x) / (x \ C) = x * x. [para(16(a,2),153(a,1,1))].

405 (0 / x) * (0 / x) = (0 / x) / x. [para(30(a,1),386(a,1,2)),flip(a)].

409 (x * (C * (x * C))) * y = x * (C * (C * (x * y))). [para(158(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

421 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (x * C)))). [para(37(a,1),16(a,2))].

425 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (C * x)))). [para(16(a,2),37(a,2,2,2,2,2)),rewrite([16(6,R)])].

428 x * (y * (z * (y * (x * a(x,y,z * (y * x)))))) = (x * y) * (z * (y * x)). [para(37(a,1),18(a,1))].

432 (x * (y * (z * (z * (y * x))))) * u = x * (y * (z * (z * (y * (x * u))))). [para(31(a,1),37(a,1,1,2,2)),rewrite([31(10)])].

450 (x * (x * (C * (y * (x * (x * C)))))) * z = x * (x * (C * (y * (C * (x * (x * z)))))). [para(89(a,1),37(a,1,1,2,2,2)),rewrite([31(8),31(

14),31(18)])].

498 (C * (x * (C * x))) * y = C * (x * (x * (C * y))). [para(159(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

612 (x * (C * C)) / C = x * C. [para(306(a,1),10(a,1,2)),rewrite([79(6)])].

613 x \ (C * (x * C)) = C * C. [para(306(a,2),10(a,1,2))].

615 (C * (x * C)) / (C * C) = x. [para(306(a,2),11(a,1,1))].

619 C * (x * (C * (y * C))) = C * (x * (y * (C * C))). [para(306(a,1),13(a,2,2,2)),rewrite([13(7)])].

620 C * (x * (C * x)) = x * (x * (C * C)). [para(306(a,1),13(a,2,2)),rewrite([16(5,R)])].

621 C * (C * (x * (y * x))) = x * (y * (x * (C * C))). [para(306(a,2),13(a,1)),rewrite([16(5,R)])].

625 C * (C * x) = x * (C * C). [para(16(a,2),306(a,1,2))].

626 (x * (y * (C * C))) * a(x,C,y * C) = (x * C) * (y * C). [para(306(a,1),18(a,1,1,2))].

649 (x * (C * C)) / x = C * C. [para(306(a,1),153(a,1,1)),rewrite([79(8),11(8)])].

656 C * (x * (C * (y * (C * x)))) = x * (C * (y * (x * (C * C)))). [para(306(a,1),37(a,2,2,2,2)),rewrite([16(8,R)])].

659 C * (C * (x * (y * (z * (y * x))))) = x * (y * (z * (y * (C * (x * C))))). [para(306(a,2),37(a,2,2,2,2,2)),rewrite([306(8,R),16(7,R)])].

722 (x * (y * x)) / (A * x) = x * (y / A). [para(12(a,1),42(a,1,1,2,1))].

725 (C * (C * (x * A))) / (A * C) = C * x. [para(16(a,1),42(a,1,1)),rewrite([16(4,R),16(6,R)])].

728 x * (C * y) = x * (y * C). [para(76(a,1),42(a,1,1,2,1)),rewrite([722(9),11(6)]),flip(a)].

743 C * (x / (C * C)) = x / C. [para(12(a,1),612(a,1,1)),rewrite([16(8,R)]),flip(a)].

747 (x / C) \ (C * x) = C * C. [para(12(a,1),613(a,1,2,2))].

782 (C * x) / (C * C) = x / C. [para(12(a,1),615(a,1,1,2))].

789 (x * (y * (C * C))) * a(x,C,C * y) = (x * C) * (C * y). [para(625(a,1),18(a,1,1,2))].

877 (x * (y * C)) / (C * y) = x. [para(728(a,1),11(a,1,1))].

879 (x / (C * y)) * (y * C) = x. [para(728(a,1),12(a,1))].

880 (x / (y * C)) * (C * y) = x. [para(728(a,2),12(a,1))].

886 (x * (y * (z * C))) * a(x,y,C * z) = (x * y) * (C * z). [para(728(a,1),18(a,1,1,2))].

888 (x * (y * (C * z))) * a(x,y,z * C) = (x * y) * (z * C). [para(728(a,2),18(a,1,1,2))].

892 (C * x) * (y * C) = (x * C) * (C * y). [para(728(a,1),76(a,1))].

893 (C * x) * (C * y) = (x * C) * (y * C). [para(728(a,1),76(a,2))].

902 (x * (y * (x * (C * z)))) / (z * C) = x * (y * x). [para(728(a,2),35(a,1,1,2,2))].

916 x * (C * (y * C)) = x * (y * (C * C)). [para(306(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

920 x * (C * (C * y)) = x * (y * (C * C)). [para(625(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

969 (x / C) / C = x / (C * C). [para(743(a,1),10(a,1,2)),rewrite([79(4)])].

973 (x * (y / C)) * a(x,C,y / (C * C)) = (x * C) * (y / (C * C)). [para(743(a,1),18(a,1,1,2))].

974 (x / (C * C)) \ (x / C) = C. [para(743(a,1),49(a,1,2))].

977 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(743(a,1),36(a,1,2,2)),flip(a)].

987 (0 / C) \ C = C * C. [para(8(a,1),747(a,1,2))].

1096 (x * C) / (C * C) = x / C. [para(16(a,1),782(a,1,1))].

1101 (x / (C * C)) / C = (x / C) / (C * C). [para(743(a,1),782(a,1,1)),flip(a)].

1224 (x * C) * ((y / (C * x)) * ((x * C) * z)) = ((x * C) * y) * z. [para(879(a,1),13(a,1,1,2)),flip(a)].

1236 x * ((y / (C * x)) * x) = (x * y) / C. [para(879(a,1),35(a,1,1,2)),flip(a)].

1255 C * (x * (x * (C * y))) = x * (C * (C * (x * y))). [para(53(a,1),76(a,2,1)),rewrite([85(6),409(12)])].

1257 C * (x * (C * (x * (x * (x * C))))) = x * (C * (x * (x * (C * (x * C))))). [para(53(a,1),89(a,2,2)),rewrite([53(8),53(18)])].

1268 (x * (C * (x * C))) \ (C * (x * (x * C))) = 0. [para(53(a,1),292(a,1,1))].

1374 (C * (x * (C * y))) \ z = (C * (x * (y * C))) \ z. [para(54(a,1),245(a,1,1)),rewrite([16(11,R)]),flip(a)].

1498 (x * (C * (y * (z * y)))) * a(x,y,z * (y * C)) = (x * y) * (z * (y * C)). [para(56(a,2),18(a,1,1,2))].

1500 (x * y) * (z * (C * (x * y))) = C * ((x * y) * (z * (x * y))). [para(56(a,2),18(a,2)),rewrite([16(3,R),16(9,R),18(12)])].

1585 a(x,x,x \ (x \ y)) = 0. [para(347(a,1),10(a,1,2)),rewrite([26(1)]),flip(a)].

1607 a(x,x,x \ y) = 0. [para(10(a,1),1585(a,1,3,2))].

1639 (x * (y * (C * x))) \ ((C * (x * (y * x))) * z) = z. [para(57(a,1),101(a,1,1)),rewrite([16(8,R)])].

1698 (x / (y * (z * (C * y)))) * (C * (y * (z * y))) = x. [para(57(a,1),879(a,1,1,2)),rewrite([16(9,R)])].

1709 a(x,x,y) = 0. [para(10(a,1),1607(a,1,3))].

1734 (C * (C * (x * (x * C)))) \ (C * (x * (C * (x * C)))) = 0. [para(53(a,1),288(a,1,2,2))].

1820 (0 / x) \ ((0 / x) / x) = 0 / x. [para(405(a,1),10(a,1,2))].

1824 (x * ((0 / y) / y)) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [para(405(a,1),18(a,1,1,2))].

1871 (x * C) * (y / C) = C * ((x / C) * y). [para(16(a,2),63(a,2,1)),rewrite([79(4),98(6),79(9),365(10)])].

1979 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(12(a,1),64(a,1,1,2))].

1983 (x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u). [para(13(a,1),64(a,1,1)),rewrite([13(7)])].

1990 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(16(a,1),64(a,1,2,1))].

1991 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(16(a,2),64(a,1,1,2)),rewrite([16(6,R)])].

1992 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(16(a,2),64(a,1,2,1))].

1998 (x * (x * (y * z))) \ ((x * (x * y)) * z) = a(x * x,y,z). [para(31(a,1),64(a,1,1)),rewrite([31(5)])].

1999 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(52(a,1),64(a,1,1,2)),rewrite([1871(6)])].

2000 (C * ((x / C) * y)) \ (x * y) = a(C,x / C,y). [para(52(a,1),64(a,1,2,1))].

2001 (x * ((y * C) * z)) \ ((x * (C * y)) * z) = a(x,C * y,z). [para(76(a,1),64(a,1,1,2))].

2002 ((x * C) * (y * z)) \ (((C * x) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,1))].

2003 ((C * x) * (y * z)) \ (((x * C) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,2,1))].

2004 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(76(a,2),64(a,1,1,2))].

2040 (x * (C * (y * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(306(a,2),64(a,1,1,2)),rewrite([306(10,R),16(9,R)])].

2042 a(x,C * C,y) = a(x,C * y,C). [para(306(a,2),64(a,1,2,1)),rewrite([31(4),13(10),1991(11)]),flip(a)].

2043 (x * (y * (C * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(306(a,2),64(a,1,2)),rewrite([16(9,R)])].

2048 (x * (y * (C * C))) \ ((x * C) * (C * y)) = a(x,C,C * y). [para(625(a,1),64(a,1,1,2))].

2054 a(x,C * y,z) = a(x,y * C,z). [para(728(a,1),64(a,1,2,1)),rewrite([2004(9)]),flip(a)].

2097 (x * ((0 / y) / y)) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [para(405(a,1),64(a,1,1,2))].

2101 a(x,x * C,C) = 0. [back_rewrite(1268),rewrite([1991(11)])].

2103 a(x / C,x,C) = 0. [para(12(a,1),2101(a,1,2))].

2604 (0 / C) \ (0 / (C * C)) = 0 / C. [para(969(a,1),1820(a,1,2))].

3002 a(x,C * C,x) = 0. [para(2042(a,2),2103(a,1)),rewrite([51(4)])].

3032 (x / (C * C)) * x = x * (x / (C * C)). [para(3002(a,1),63(a,1,2)),rewrite([339(4),79(3),79(4),969(4),8(7),339(9),79(8),79(9),969(9),306

(13,R),16(12,R),743(12),52(9),339(9),79(8),79(9),969(9)])].

4520 (C * (C * (x * y))) \ (C * (x * (C * y))) = a(C * C,x,y). [para(93(a,1),102(a,1,2)),rewrite([16(5,R),55(10)])].

4620 a(C * C,x,x * C) = 0. [back_rewrite(1734),rewrite([4520(15)])].

4625 a(C * C,x / C,x) = 0. [para(12(a,1),4620(a,1,3))].

4639 C * (C * ((x / C) * x)) = (C * x) * x. [para(4625(a,1),18(a,1,2)),rewrite([31(7),8(9),31(13),52(12)])].

4847 (x / C) * (C * (C * x)) = (C * x) * x. [para(306(a,2),96(a,1,2,2)),rewrite([16(8,R),52(8),306(14,R),16(13,R),4639(14)])].

6372 ((x * C) * y) / C = (x / C) * (C * y). [para(114(a,1),1096(a,1,1)),rewrite([16(5,R),782(9),363(10)])].

8072 (C * x) * (C * (C * (x * A))) = C * (C * (((C * x) * x) * A)). [para(119(a,1),97(a,2)),rewrite([6372(9),4847(9),15(17),16(16,R)]),flip(

a)].

8405 (x * C) * (C * x) = C * ((C * x) * x). [para(16(a,1),156(a,2,1)),rewrite([16(7,R),8072(9),725(13)]),flip(a)].

8619 (C * ((C * x) * x)) * y = (C * x) * ((C * x) * y). [back_rewrite(119),rewrite([8405(5)])].

10744 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(9(a,1),251(a,1,2,2))].

10748 (x * (y * (x * (z * (x * (y * x)))))) \ (x * (y * (x * (z * u)))) = (x * (y * x)) \ u. [para(13(a,1),251(a,1,1)),rewrite([13(10)])].

10770 x \ (C * y) = x \ (y * C). [para(91(a,2),251(a,1,2,2)),rewrite([10744(7),166(4)]),flip(a)].

10806 (C * (x * (C * (y * (C * (C * x)))))) \ (C * (x * (C * (y * z)))) = (C * (C * x)) \ z. [para(55(a,1),251(a,1,1)),rewrite([55(16)])].

10889 (C * x) / (y \ (x * C)) = y. [para(10770(a,1),29(a,1,2))].

10907 x \ (C * (y * C)) = x \ (y * (C * C)). [para(306(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

10911 x \ (C * (C * y)) = x \ (y * (C * C)). [para(625(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

11483 (x * y) / (x \ z) = x * ((y / z) * x). [para(12(a,1),296(a,1,1,2))].

11512 ((0 / C) * (x * (0 / (C * C)))) / (0 / C) = (0 / C) * (x * (0 / C)). [para(2604(a,1),296(a,1,2))].

11593 x \ ((x * y) / z) = (y / (x * z)) * x. [para(298(a,1),10(a,1,2))].

11597 x * ((y / (x * z)) * (x * u)) = ((x * y) / z) * u. [para(298(a,1),13(a,1,1)),flip(a)].

11601 C * (C * (x / (C * y))) = (C * x) / y. [para(298(a,1),16(a,1)),rewrite([16(8,R),16(10,R)]),flip(a)].

11787 (x * y) / ((z / (x * u)) * x) = x * ((y / ((x * z) / u)) * x). [para(298(a,1),298(a,1,2,1,2)),flip(a)].

12050 x * ((0 / x) * y) = y. [para(8(a,1),348(a,1,1)),rewrite([9(2)]),flip(a)].

12086 (0 / C) * (C * (x / (0 / C))) = C * x. [para(987(a,1),348(a,1,2)),rewrite([306(8,R),16(7,R),12050(7),16(11,R)]),flip(a)].

12105 x * ((0 / x) / x) = 0 / x. [para(405(a,1),348(a,2,2)),rewrite([8(2),9(4)]),flip(a)].

12496 x * (0 / x) = 0. [para(8(a,1),12050(a,1,2))].

12497 (0 / x) \ y = x * y. [para(9(a,1),12050(a,1,2)),flip(a)].

12498 (0 / x) * y = x \ y. [para(12050(a,1),10(a,1,2)),flip(a)].

12503 (x \ y) / y = 0 / x. [para(12050(a,1),35(a,1,1,2)),rewrite([12498(3),12496(7),8(6)])].

12504 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(36(a,1),12050(a,1,2)),rewrite([12498(3),12498(9)]),flip(a)].

12505 (x * (y \ x)) * z = x * (y \ (x * z)). [para(12050(a,1),37(a,1,1,2,2)),rewrite([12498(3),12498(9),9(8),12498(7)])].

12513 x * (0 / C) = x / C. [para(12050(a,1),56(a,1)),rewrite([16(12,R),12496(12),8(9),12498(8),79(6)])].

12515 a(x,0 / x,y) = 0. [para(12050(a,1),64(a,1,1)),rewrite([12496(3),7(2),26(1)]),flip(a)].

12555 x / (0 / C) = C * x. [back_rewrite(12086),rewrite([12498(10),10(8)])].

12558 x * (0 / (C * C)) = x / (C * C). [back_rewrite(11512),rewrite([12498(10),79(8),12555(12),52(10),12513(13),12498(12),79(10),969(10)])].

12584 x \ (0 / x) = (0 / x) / x. [back_rewrite(405),rewrite([12498(5)])].

12620 x \ 0 = 0 / x. [para(12496(a,1),10(a,1,2))].

12628 (x * C) * (0 / (C * x)) = 0. [para(12496(a,1),76(a,1)),flip(a)].

12632 (x * y) / (0 / x) = x * (y * x). [para(12496(a,1),35(a,1,1,2,2)),rewrite([8(2)])].

12633 (x * y) * (0 / x) = x * (y / x). [para(12496(a,1),36(a,1,2,2)),rewrite([8(3)]),flip(a)].

12641 C * (0 / A) = C / A. [para(12496(a,1),59(a,1,2)),rewrite([8(7),12633(15),12498(14),10(12)])].

12643 (x / y) * (y * (0 / x)) = a(y,x,0 / x). [para(12496(a,1),64(a,1,1,2)),rewrite([8(2),349(5)])].

12697 (0 / x) / x = 0 / (x * x). [para(12620(a,1),339(a,1)),rewrite([12620(5),12584(6)]),flip(a)].

12715 x \ (0 / x) = 0 / (x * x). [back_rewrite(12584),rewrite([12697(6)])].

12732 x * (0 / (x * x)) = 0 / x. [back_rewrite(12105),rewrite([12697(3)])].

12756 (x * (0 / (y * y))) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [back_rewrite(2097),rewrite([12697(3)])].

12760 (x * (0 / (y * y))) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [back_rewrite(1824),rewrite([12697(3)])].

12852 a(0 / x,x,y) = 0. [para(29(a,1),12515(a,1,2)),rewrite([12620(2)])].

12862 x / (y * x) = 0 / y. [para(12497(a,1),29(a,1,2))].

12866 (C * x) / (y * (x * C)) = 0 / y. [para(12497(a,1),10889(a,1,2))].

12868 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(12497(a,1),348(a,1,2)),rewrite([12498(3),12498(10)]),flip(a)].

12871 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(12498(a,1),13(a,1,1)),rewrite([12498(10),12498(10)])].

12873 C * (0 / x) = x \ C. [para(12498(a,1),16(a,2))].

12884 x \ (C * C) = C * (x \ C). [para(12498(a,1),306(a,2)),rewrite([16(5,R),12873(5)]),flip(a)].

12888 x * (C * (x \ C)) = C * C. [para(12498(a,1),613(a,1,2,2)),rewrite([12497(7)])].

12890 A * (0 / x) = A / x. [para(12498(a,1),43(a,1)),rewrite([12633(5),10(4),7(8)]),flip(a)].

12892 (x \ (y * C)) / (C * y) = 0 / x. [para(12498(a,1),877(a,1,1))].

12979 x * ((x * y) \ x) = x / y. [para(12498(a,1),298(a,1,2)),rewrite([8(5)])].

12990 A \ C = C / A. [back_rewrite(12641),rewrite([12873(5)])].

13215 0 / (x / y) = y / x. [para(30(a,1),12503(a,1,1)),flip(a)].

13216 C / (C * x) = 0 / x. [para(49(a,1),12503(a,1,1))].

13223 (C * C) / x = C / (x / C). [para(974(a,1),12503(a,1,1)),rewrite([13215(10)]),flip(a)].

13230 (C / A) / C = 0 / A. [para(12990(a,1),12503(a,1,1))].

13406 x \ (x / C) = 0 / C. [para(12513(a,1),10(a,1,2))].

13407 (x * (y / C)) / C = (x / (C * C)) * y. [para(12513(a,1),13(a,1,1,2)),rewrite([12498(6),79(4),969(4),12498(12),79(10),12498(12),79(10)]

),flip(a)].

13413 (x * x) / C = x * (x / C). [para(12513(a,1),31(a,1)),rewrite([12513(7)])].

13414 C * (x * (x / C)) = x * x. [para(12513(a,1),84(a,1,1,2)),rewrite([12555(7)])].

13421 (x * (y * (x * (z / C)))) / C = ((x * (y * (x / C))) / C) * z. [para(12513(a,1),37(a,1,1,2,2,2)),rewrite([12498(8),79(6),12498(14),79(

12),12498(16),79(14)]),flip(a)].

13449 (x * (x * (y / C))) / C = (x * (x / (C * C))) * y. [para(12513(a,1),85(a,1,1,2,2)),rewrite([12498(7),79(5),13407(5),3032(5),12498(13),

79(11),12498(14),79(12)]),flip(a)].

13481 x \ (0 / C) = (0 / x) / C. [para(12513(a,1),12498(a,1)),flip(a)].

13607 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(13(a,1),12862(a,1,2))].

13608 x / (x * C) = 0 / C. [para(16(a,1),12862(a,1,2))].

13614 x / (y * (z * (u * (z * (y * x))))) = 0 / (y * (z * (u * (z * y)))). [para(37(a,1),12862(a,1,2))].

13631 a(x,y,C) / (C * (x * y)) = 0 / (x * (C * y)). [para(77(a,1),12862(a,1,2))].

13785 C * (C * (x / (y \ C))) = (C * x) / (0 / y). [para(12873(a,1),298(a,1,2,1,2)),rewrite([16(6,R)])].

13786 C * (((0 / x) / C) * y) = (x \ C) * (y / C). [para(12873(a,1),348(a,1,1)),rewrite([79(4)]),flip(a)].

13796 (A / x) / (0 / x) = A. [para(12890(a,1),11(a,1,1))].

13837 (x / y) * (y / x) = 0. [para(13215(a,1),12(a,1,1))].

13839 x / (C * (x * C)) = 0 / (C * C). [para(158(a,1),13215(a,1,2)),flip(a)].

13840 (x / C) / (x * C) = 0 / (C * C). [para(391(a,1),13215(a,1,2)),flip(a)].

13843 x / (x * (C * C)) = 0 / (C * C). [para(649(a,1),13215(a,1,2)),flip(a)].

13844 x * a(x,y / z,z / y) = (x * (y / z)) * (z / y). [para(13215(a,1),66(a,1,2,2)),rewrite([8(2),13215(7)])].

13859 (x / y) * ((y / x) * z) = z. [para(13215(a,1),348(a,2,2,1)),rewrite([8(3),9(4)]),flip(a)].

13861 (x / y) \ z = (y / x) * z. [para(13215(a,1),12497(a,1,1))].

13862 (0 / C) / x = 0 / (C * x). [para(12555(a,1),13215(a,1,2)),flip(a)].

13997 C / (x / C) = C * (x \ C). [para(13216(a,1),298(a,1,2,1)),rewrite([16(5,R),12873(5),13223(8)]),flip(a)].

14010 (C * C) / x = C * (x \ C). [back_rewrite(13223),rewrite([13997(8)])].

14320 (0 / x) / (0 / (x * A)) = A. [para(12862(a,1),13796(a,1,1))].

15730 (x * y) * (0 / (x * x)) = x * ((y / x) * (0 / x)). [para(12715(a,1),348(a,1,2))].

15758 a(x,0 / (x * x),y) = 0. [para(12732(a,1),64(a,1,2,1)),rewrite([12498(4),339(2),9(3),12498(4),26(3)]),flip(a)].

15975 a(0 / x,x * x,y) = 0. [para(12498(a,1),15758(a,1,2,2)),rewrite([12715(6),13215(7),28(5)])].

16003 (x * C) * (C / x) = C * C. [para(12884(a,1),99(a,1,2)),rewrite([12979(8)])].

16162 x / (x \ y) = x * (y \ x). [para(9(a,1),12979(a,1,2,1)),flip(a)].

16163 (x * y) \ x = x \ (x / y). [para(12979(a,1),10(a,1,2)),flip(a)].

16187 (C / x) / (C * (C / (C / x))) = ((C / x) / C) * ((C / x) / C). [para(12979(a,1),392(a,1,1)),rewrite([16163(6),79(6),13861(8),16(8,R),1

6163(13),79(13),16163(17),79(17)])].

16198 x * ((C * (x * (y * x))) \ x) = x / (y * (x * C)). [para(56(a,2),12979(a,1,2,1))].

16261 x * ((0 / x) / C) = 0 / C. [para(13608(a,1),12979(a,2)),rewrite([16163(4),13608(3),13481(4)])].

16275 x / (C * (x \ C)) = x * (x / (C * C)). [para(12888(a,1),12979(a,1,2,1)),rewrite([339(4),79(3),79(4),969(4)]),flip(a)].

16522 0 / (x * (x / C)) = C / (x * x). [para(13413(a,1),13215(a,1,2))].

16705 (x * y) * ((0 / x) / C) = x * ((y / x) / C). [para(13481(a,1),348(a,1,2)),rewrite([12513(11)])].

16775 (x / (y / z)) * ((y / z) * u) = (z / y) * (((y / z) * x) * u). [para(36(a,1),13859(a,1,2)),flip(a)].

16789 ((x / y) * (((y / x) * z) * u)) \ (z * u) = a(x / y,(y / x) * z,u). [para(13859(a,1),64(a,1,2,1))].

16814 (x / ((y / z) * u)) * (y / z) = (z / y) * (((y / z) * x) / u). [para(298(a,1),13859(a,1,2)),flip(a)].

16853 x * ((C * (x * y)) \ x) = (x / C) / y. [para(13862(a,1),298(a,1,2,1)),rewrite([12498(6),12513(9)])].

16858 (x / C) / (y * x) = x / (y * (x * C)). [back_rewrite(16198),rewrite([16853(6)])].

18244 ((x * C) * (y * (C * C))) / (C / x) = (x * C) * (y * (x * C)). [para(16003(a,1),35(a,1,1,2,2))].

18285 (C / x) / (C * C) = 0 / (x * C). [para(16003(a,1),12862(a,1,2))].

18347 x * ((y / (x / y)) * x) = (x * y) * y. [para(10(a,1),16162(a,2,2)),rewrite([16163(3),11483(4)])].

18441 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(18(a,1),16163(a,1,1)),flip(a)].

18444 ((C * x) * y) \ (x * C) = (x * C) \ ((x * C) / y). [para(76(a,2),16163(a,1,1))].

18511 (C * ((x / C) * x)) \ (x / C) = 0 / (x * C). [para(220(a,1),16163(a,1,1)),rewrite([16858(15),13839(15),13861(16),12558(16),18285(14)])

].

18573 x \ (y * (0 / x)) = (x \ y) / x. [para(8(a,1),297(a,1,1,2)),rewrite([12498(3),12498(8)]),flip(a)].

18661 (C * x) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(297(a,1),12555(a,1)),rewrite([12555(4),12555(6),12555(11)])].

18664 x \ (x \ C) = (x \ C) / x. [para(12873(a,1),297(a,2,2)),rewrite([8(5),16(4,R),12873(4),12498(8)]),flip(a)].

18670 (A \ (x * (C / A))) / C = (A \ x) / A. [para(13230(a,1),297(a,1,1,1)),rewrite([12498(8),13230(13),13230(16),12498(16),18573(14)])].

18738 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(12871),rewrite([18573(4)]),flip(a)].

18890 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [back_rewrite(312),rewrite([18661(6)]),flip(a)].

19032 ((x * C) * (y * (C * C))) / (C / x) = C * ((C * x) * (y * x)). [back_rewrite(18244),rewrite([18890(16)])].

19227 (x * y) / ((0 / x) / C) = x * ((C * y) * x). [para(16261(a,1),298(a,1,2,1,2)),rewrite([12555(4)]),flip(a)].

19295 (x * (C * (y * (x * (C * C))))) / C = x * (C * (y * (C * x))). [para(306(a,1),300(a,1,1,2,2,2))].

19606 ((C * x) * (y * (C * (C * (x * A))))) / (A * C) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,1,1,2,2)),rewrite([16(6,R),16(8,R),1866

1(20)])].

19608 (C * x) * (y * (x * C)) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,2,2,2)),rewrite([16(7,R),19606(14)]),flip(a)].

19806 x * ((x \ C) / x) = x \ C. [para(18664(a,1),9(a,1,2))].

19951 A * ((x \ (x / A)) * A) = A. [para(12496(a,1),302(a,1,1,2,2)),rewrite([8(7),12890(6),12862(4),14320(7),12498(7),16163(5)]),flip(a)].

20574 (x \ (x / A)) * A = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].

20575 A * ((x \ (x / A)) * (A * y)) = A * y. [para(19951(a,1),13(a,1,1)),flip(a)].

20578 (x \ (x / A)) * (A * (x \ (x / A))) = 0 / A. [para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].

20585 (x \ (x / A)) * (A * y) = y. [para(19951(a,1),71(a,2,1,2)),rewrite([20575(11),20578(15),12852(11),8(8),20574(11),7(8)])].

20598 x * (A * (y \ (y / A))) = x. [para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].

20606 x \ (x / A) = 0 / A. [back_rewrite(20578),rewrite([20598(9)])].

20659 x * (0 / A) = x / A. [para(20606(a,1),9(a,1,2))].

20662 (A \ (x / A)) * y = ((A \ x) / A) * y. [para(20606(a,1),33(a,1,1)),rewrite([20606(6),12498(7),12498(7),18738(5),20606(8),12498(11)]),f

lip(a)].

20675 A \ (x * (y * (x * (A \ z)))) = ((A \ (x * (y * x))) / A) * z. [para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606

(14),12498(15),20662(14)])].

20676 A \ (x * (C / A)) = C * (A \ (x / A)). [para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].

20720 A \ (x / A) = (A \ x) / A. [back_rewrite(18670),rewrite([20676(6),51(8)])].

20744 (x * (y * x)) / A = x * (y * (x / A)). [para(20659(a,1),13(a,1)),rewrite([20659(8)])].

20832 A \ (x * (y * (x / A))) = (A \ (x * (y * x))) / A. [para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14

)]),flip(a)].

21328 A * ((A \ x) / A) = x / A. [para(20720(a,1),9(a,1,2))].

21351 (A * x) * A = A * (x * A). [para(302(a,1),20720(a,1,2)),rewrite([10(8),10(14),20744(12),27(10),8(9)])].

21694 ((x \ y) / x) * (x * z) = x \ (y * z). [para(9(a,1),349(a,1,2,1)),flip(a)].

21699 x \ (C * (x * y)) = (y / x) * (x * C). [para(16(a,2),349(a,1,2))].

21703 (x / (C * C)) * (C * y) = (x * y) / C. [para(52(a,1),349(a,1,2,1)),rewrite([79(3),969(7)]),flip(a)].

21785 (C * x) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),349(a,1,2,1)),rewrite([13862(8),12498(10)]),flip(a)].

21787 ((0 / x) / C) * (C * y) = ((x \ C) * y) / C. [para(12873(a,1),349(a,1,2,1)),rewrite([79(5)]),flip(a)].

21802 (C / x) * (x * (0 / (C * x))) = 0 / x. [para(12628(a,1),349(a,1,2)),rewrite([12620(2)]),flip(a)].

21826 ((C / x) / (x * C)) * ((x * C) * y) = (x * C) \ (C * (C * y)). [para(16003(a,1),349(a,1,2,1)),rewrite([31(6)]),flip(a)].

22092 ((C * x) * x) / (C * ((x / C) * x)) = C. [para(220(a,1),350(a,1,2))].

22253 C * (x \ (C * ((C * y) / (x \ C)))) = (C * (x \ (C * y))) * x. [para(306(a,2),351(a,1,2)),rewrite([14010(4),14010(9),16(12,R),11601(13

),12505(10),14010(14),12505(15)])].

22690 (A \ (x * ((x \ (A * y)) * x))) / A = y * (x / A). [para(21328(a,1),39(a,2,2)),rewrite([13861(9),16162(8),12505(9),21351(11),13(16),21

328(14),21694(13),20832(9)])].

23565 (C * (x * y)) \ ((x * (y / x)) * (x * C)) = a(x,y / x,x * C). [para(360(a,1),101(a,1,2))].

24263 (C * x) * ((y / (C * C)) * x) = (x / C) * (y * x). [para(56(a,1),365(a,2)),rewrite([13407(7),16(14,R),52(14)])].

25402 (x * C) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),381(a,1,2,1)),rewrite([11(6),21785(4),13862(10),12498(14),21785(12),11(10)]),f

lip(a)].

27367 (x \ C) * ((x / (C * C)) * y) = ((0 / x) / C) * (x * y). [para(16261(a,1),421(a,1,2,2,2,2)),rewrite([12513(9),13786(10),13407(7),16(18

,R),52(18),12496(15),8(14)])].

28110 (C * x) * (((y * (z * (y / C))) / C) * x) = (x / C) * (y * (z * (y * x))). [para(425(a,1),348(a,2)),rewrite([79(9),13421(9),52(16)])].

28116 C / (x * (y * (z * (y * (C * x))))) = 0 / (x * (y * (z * (y * x)))). [para(425(a,1),13216(a,1,2))].

28746 x * ((x \ y) * x) = y / (0 / x). [para(9(a,1),12632(a,1,1)),flip(a)].

28749 (C * x) / (0 / x) = x * (C * x). [para(16(a,2),12632(a,1,1))].

28750 x / (C / x) = (x / C) * x. [para(52(a,1),12632(a,2,2)),rewrite([16(4,R),52(4),13215(4)])].

28775 (x / C) / (0 / x) = x * (x / C). [para(12513(a,1),12632(a,1,1)),rewrite([12498(9),79(7)])].

28776 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(12632(a,1),13215(a,1,2)),flip(a)].

28815 x / (A / y) = x * (y / A). [back_rewrite(22690),rewrite([28746(6),11593(7),12890(4),11(7)])].

28963 0 / ((x / C) * x) = (C / x) / x. [para(28750(a,1),13215(a,1,2))].

29063 x / (0 / y) = x * y. [para(11(a,1),28815(a,2,2)),rewrite([12862(4)])].

29065 x * (0 / y) = x / y. [para(29(a,1),28815(a,1,2)),rewrite([12503(5)]),flip(a)].

29171 (x / C) * x = x * (x / C). [back_rewrite(28775),rewrite([29063(5)])].

29186 (C * x) * x = x * (C * x). [back_rewrite(28749),rewrite([29063(5)])].

29188 x * ((x \ y) * x) = y * x. [back_rewrite(28746),rewrite([29063(6)])].

29241 C * (C * (x / (y \ C))) = (C * x) * y. [back_rewrite(13785),rewrite([29063(12)])].

29244 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(12868),rewrite([29063(3)])].

29248 (x * y) * x = x * (y * x). [back_rewrite(12632),rewrite([29063(4)])].

29249 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(12504),rewrite([29063(3)])].

29338 (C / x) / C = 0 / x. [back_rewrite(21802),rewrite([29065(7),12862(5),29065(6)])].

29403 x \ (y / x) = (x \ y) / x. [back_rewrite(18573),rewrite([29065(3)])].

29434 (x * y) / (x * x) = x * ((y / x) / x). [back_rewrite(15730),rewrite([29065(5),29065(7)])].

29496 x \ C = C / x. [back_rewrite(12873),rewrite([29065(4)]),flip(a)].

29499 (x / (y * y)) * a(x,0 / y,0 / y) = (x / y) / y. [back_rewrite(12760),rewrite([29065(4),29065(11),29065(12)])].

29500 ((x * x) / y) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(12756),rewrite([29065(4),29065(5),29065(6),13861(5)])].

29520 a(x,y,0 / y) = 0. [back_rewrite(12643),rewrite([29065(4),13837(3)]),flip(a)].

29524 (x * y) / x = x * (y / x). [back_rewrite(12633),rewrite([29065(4)])].

29649 (C / x) / x = C / (x * x). [back_rewrite(28963),rewrite([29171(4),16522(5)]),flip(a)].

29724 x * (C / x) = C. [back_rewrite(22092),rewrite([29186(3),29171(7),13414(8),29434(5),11(3)])].

29741 (0 / x) / C = 0 / (x * C). [back_rewrite(18511),rewrite([29171(4),13414(5),339(4),13406(3),13481(4)])].

30017 (C * x) * ((C * x) * y) = C * (x * (x * (C * y))). [back_rewrite(8619),rewrite([29186(4),498(6)]),flip(a)].

30374 x / (C * (C / x)) = x * (x / (C * C)). [back_rewrite(16275),rewrite([29496(3)])].

30413 x * (C * (C / x)) = C * C. [back_rewrite(12888),rewrite([29496(3)])].

30485 (C / x) / (x * C) = 0 / (x * x). [back_rewrite(16187),rewrite([30374(9),18285(8),29065(7),29338(9),29338(11),29065(10),12697(8)])].

30540 C * (C * (x / (C / y))) = (C * x) * y. [back_rewrite(29241),rewrite([29496(4)])].

30554 (C / x) * ((x / (C * C)) * y) = x \ ((x / C) * y). [back_rewrite(27367),rewrite([29496(2),29741(12),12498(14),25402(12)])].

30581 C * (x \ (C * ((C * y) / (C / x)))) = (C * (x \ (C * y))) * x. [back_rewrite(22253),rewrite([29496(6)])].

30586 (x * C) \ (C * y) = ((C / x) * y) / C. [back_rewrite(21787),rewrite([29741(4),12498(7),29496(7)])].

30626 x * (C / (x * x)) = C / x. [back_rewrite(19806),rewrite([29496(2),29649(3),29496(6)])].

30809 (x * y) * (x * C) = x * ((C * y) * x). [back_rewrite(19227),rewrite([29741(5),29063(6)])].

30843 (x * y) / (x * C) = x * ((y / x) / C). [back_rewrite(16705),rewrite([29741(5),29065(6)])].

31026 x \ ((C / x) * (x * y)) = ((C / x) * (C * y)) / C. [back_rewrite(21826),rewrite([30485(5),12498(7),339(5),349(4),30586(12)])].

31115 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y / x,x * C). [back_rewrite(23565),rewrite([30809(8)])].

31237 (x * y) / (C / x) = x * ((y / C) * x). [para(29724(a,1),298(a,1,2,1,2)),flip(a)].

31259 (x * (C * x)) \ ((x * C) * y) = (C * x) \ (C * y). [para(29724(a,1),381(a,1,2,1)),rewrite([12862(9),28776(10),12498(14)]),flip(a)].

31279 a(x,0 / y,y) = 0. [para(29(a,1),29520(a,1,3)),rewrite([12620(2)])].

31280 a(x,y / z,z / y) = 0. [para(13215(a,1),29520(a,1,3))].

31293 (x * (y / z)) * (z / y) = x. [back_rewrite(13844),rewrite([31280(3),8(2)]),flip(a)].

31452 (x * (x / y)) * y = x * x. [para(31279(a,1),93(a,1,2)),rewrite([12(3),8(2),8(3),29065(4)]),flip(a)].

31516 (x * y) * (x * y) = x * (y * (x * y)). [para(29063(a,1),154(a,1,1,1)),rewrite([29248(2),29063(5),13(3),29063(6),29063(7)]),flip(a)].

31517 x * ((y / (x / z)) * x) = (x * y) * z. [para(29063(a,1),298(a,2)),rewrite([29065(3)])].

31519 (0 / x) / y = 0 / (y * x). [para(29063(a,1),13215(a,1,2)),flip(a)].

31520 x / (y / z) = x * (z / y). [para(13215(a,1),29063(a,1,2))].

31641 (x * y) * y = x * (y * y). [back_rewrite(18347),rewrite([31520(2),31452(3)]),flip(a)].

31689 x * ((y * (z / x)) * x) = (x * y) * z. [back_rewrite(31517),rewrite([31520(2)])].

31692 (x * y) * (x / C) = x * ((y / C) * x). [back_rewrite(31237),rewrite([31520(4)])].

31714 C * (x \ (C * (C * ((y / C) * x)))) = (C * (x \ (C * y))) * x. [back_rewrite(30581),rewrite([31520(7),365(7)])].

31718 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(30540),rewrite([31520(5)])].

31863 ((x * C) * (y * (C * C))) * (x / C) = C * ((C * x) * (y * x)). [back_rewrite(19032),rewrite([31520(10)])].

31865 (x * (y / z)) * ((z / y) * u) = (y / z) * (((z / y) * x) * u). [back_rewrite(16775),rewrite([31520(2)])].

31881 (x * y) / ((z / (x * u)) * x) = x * ((y * (u / (x * z))) * x). [back_rewrite(11787),rewrite([31520(8)])].

31994 a(x,y / x,x * C) = a(C,x,y). [back_rewrite(31115),rewrite([31689(8),1990(7)]),flip(a)].

32072 x \ (x / y) = 0 / y. [para(29065(a,1),10(a,1,2))].

32073 (x * (y * x)) / z = x * (y * (x / z)). [para(29065(a,1),13(a,1)),rewrite([29065(6)])].

32076 (x * x) / y = x * (x / y). [para(29065(a,1),31(a,1)),rewrite([29065(5)])].

32082 (x * (y * (z * (y * x)))) / u = x * (y * (z * (y * (x / u)))). [para(29065(a,1),37(a,1)),rewrite([29065(8)])].

32085 (C * (C / x)) * y = C * (x \ (C * y)). [para(29065(a,1),55(a,1,1,2)),rewrite([12498(11)])].

32088 (x * (y / z)) \ ((x * y) / z) = a(x,y,0 / z). [para(29065(a,1),64(a,1,1,2)),rewrite([29065(6)])].

32115 x \ (0 / y) = 0 / (y * x). [para(29065(a,1),12498(a,1)),rewrite([31519(3)]),flip(a)].

32137 (x * y) \ (x * z) = x \ ((x / y) * z). [para(29065(a,1),349(a,1,2,1)),rewrite([31519(6),12498(8)]),flip(a)].

32138 (x / (y * z)) * y = (x / y) * (y / z). [para(29065(a,1),349(a,1,2)),rewrite([11593(3),29065(7)])].

32145 (C * x) / (C * y) = C * ((x / C) / y). [para(29065(a,1),365(a,2,2)),rewrite([31519(6),29065(7)])].

32159 (x * y) * ((z / x) * (x / u)) = x * ((y / x) * ((x * z) / u)). [para(29065(a,1),385(a,1,2,2)),rewrite([29065(10)])].

32221 ((C * x) * y) \ (x * C) = 0 / y. [back_rewrite(18444),rewrite([32072(12)])].

32223 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(18441),rewrite([32072(7)]),flip(a)].

32226 (x * y) \ x = 0 / y. [back_rewrite(16163),rewrite([32072(4)])].

32276 (x * (x / y)) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(29500),rewrite([32076(2)])].

32468 (x * (C * x)) \ ((x * C) * y) = ((C / x) * y) / C. [back_rewrite(31259),rewrite([32137(12),79(12)])].

32572 (C * (C * x)) \ y = (x \ (y / C)) / C. [back_rewrite(10806),rewrite([32137(17),28116(11),12498(14),32137(12),13607(7),12498(11),32137(

9),12862(6),12498(6),10(4),79(3),79(5)]),flip(a)].

32573 (x * (y * x)) \ z = x \ (y \ (x \ z)). [back_rewrite(10748),rewrite([32137(11),13614(6),12498(10),32137(8),13607(4),12498(7),32137(5),

12862(2),12498(4),10(2)]),flip(a)].

32597 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [back_rewrite(4520),rewrite([32137(11),13216(6),12498(8),32137(6),79(7)])].

32636 (x * y) / ((z / x) * (x / u)) = x * ((y * (u / (x * z))) * x). [back_rewrite(31881),rewrite([32138(4)])].

32684 (x * (y / z)) * ((z / y) / u) = (y / z) * (((z / y) * x) / u). [back_rewrite(16814),rewrite([32138(5),31520(2)])].

32699 x \ ((x * y) / z) = (y / x) * (x / z). [back_rewrite(11593),rewrite([32138(6)])].

32880 x \ (((C / x) * (x * y)) / C) = ((C / x) * y) / C. [back_rewrite(32468),rewrite([32573(7),349(5),79(6)])].

32917 a(x,0 / y,0 / y) = 0. [back_rewrite(32276),rewrite([32684(5),12(3),13837(3)]),flip(a)].

32973 (x / y) / y = x / (y * y). [back_rewrite(29499),rewrite([32917(7),8(4)]),flip(a)].

33011 0 / (x \ y) = y \ x. [para(29(a,1),32072(a,1,2)),flip(a)].

33012 (x / y) * (y * x) = x * x. [para(32072(a,1),345(a,1,2,2)),rewrite([32115(4),31520(5),28(4)])].

33013 (x \ y) \ x = y \ (x * x). [para(345(a,1),32072(a,1,2)),rewrite([33011(6)]),flip(a)].

33132 (x \ y) * (y \ x) = 0. [para(33011(a,1),12(a,1,1))].

33139 (x \ y) \ z = (y \ x) * z. [para(33011(a,1),12498(a,1,1)),flip(a)].

33140 a(x \ y,(y \ x) * (y \ x),z) = 0. [para(33011(a,1),15975(a,1,1))].

33166 x / (y \ z) = x * (z \ y). [para(33011(a,1),29065(a,1,2)),flip(a)].

33168 x \ (y * y) = (x \ y) * y. [back_rewrite(33013),rewrite([33139(2)]),flip(a)].

33329 x * ((x \ (y \ x)) * y) = (y \ x) * y. [para(33132(a,1),33(a,1,2,2)),rewrite([8(3),29249(6)]),flip(a)].

33334 (x \ (y * C)) * ((C * y) \ x) = 0. [para(245(a,2),33132(a,1,2))].

33344 x * ((x \ y) * (x * z)) = (y * x) * z. [para(33132(a,1),196(a,1,1,2)),rewrite([8(2),33132(4),8(3),33132(7),8(6),29249(8),33329(8),2918

8(7)])].

34692 (x * (y * (x / z))) / z = x * (y * (x / (z * z))). [para(32917(a,1),71(a,1,2)),rewrite([29065(5),32973(3),29065(4),8(6),29065(7),29065

(10)]),flip(a)].

34696 (C * x) * ((y * (z * (y / (C * C)))) * x) = (x / C) * (y * (z * (y * x))). [back_rewrite(28110),rewrite([34692(8)])].

35208 (x * (y * (x * y))) * z = (x * y) * ((x * y) * z). [para(29188(a,1),432(a,1,1,2,2,2)),rewrite([33344(5),31516(3),33344(9),33344(10)])]

.

35212 (x / y) * x = x * (y \ x). [para(32072(a,1),29188(a,1,2,1)),rewrite([12498(3)]),flip(a)].

35340 (x * (x * (y * x))) * z = x * ((x * y) * (x * z)). [para(29248(a,1),13(a,1,1,2))].

35358 0 / a(x,y,x * z) = a(x * y,x,z). [para(29248(a,1),64(a,1,2,1)),rewrite([13(6),32223(7)])].

35381 x / (x * (y * x)) = 0 / (x * y). [para(29248(a,1),12862(a,1,2))].

35398 x \ ((x / y) * (y * (x * z))) = (x / (x * y)) * ((x * y) * z). [para(29248(a,1),349(a,1,2,1)),rewrite([13(4),32137(5)])].

35464 (x \ (y \ x)) / x = 0 / (y * x). [para(12503(a,1),29403(a,1,2)),rewrite([32115(3)]),flip(a)].

35569 (x / y) / x = x / (x * y). [para(29065(a,1),29524(a,1,1)),rewrite([31519(5),29065(6)])].

35748 C * (x * (y * (x / (C * C)))) = x * (y * (x / C)). [para(30626(a,1),425(a,2,2,2,2,2)),rewrite([13608(6),13608(9),29065(8),12498(9),79(

7),34692(7),13608(13),27(14),8(13),12498(14),79(12),32073(12)])].

35762 a(x * (y / z),z / y,u) = a(y / z,(z / y) * x,u). [para(31293(a,1),64(a,1,2,1)),rewrite([31865(5),16789(7)]),flip(a)].

35859 (C * (C / x)) \ ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [para(31452(a,1),382(a,2,2)),rewrite([16(4,R),32085(9),306(20,R),16(19,

R),11601(20),31520(16),365(16)])].

36413 0 / (x * ((y / x) * z)) = (z \ x) / (x * y). [para(348(a,1),31519(a,2,2)),rewrite([33166(3),7(3)]),flip(a)].

36454 (x * (y / z)) \ u = ((z / y) / x) * u. [para(31520(a,1),13861(a,1,1))].

36488 x / (y * (z / u)) = x * ((u / z) / y). [para(31520(a,1),31520(a,1,2))].

36490 (x / (C * C)) * ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [back_rewrite(35859),rewrite([36454(11),32973(4)])].

36496 ((x / y) / z) * ((z * y) / x) = a(z,y,0 / x). [back_rewrite(32088),rewrite([36454(5)])].

36540 x * ((y * (z / (x * u))) * x) = x * ((y / x) * ((x * z) / u)). [back_rewrite(32636),rewrite([36488(5),31520(4),32159(5)]),flip(a)].

36747 (x * (y * (x * x))) * z = x * ((y * x) * (x * z)). [para(31641(a,1),13(a,1,1,2))].

36999 (x * y) / (z * x) = x * ((y / x) / z). [para(32115(a,1),348(a,1,2)),rewrite([29065(5),29065(7)])].

37089 C * (x / (C * (C * (C * C)))) = (x / C) / (C * C). [para(32973(a,1),743(a,1,2)),rewrite([306(8,R),16(7,R),1101(16)])].

37122 (x / (y * y)) / y = (x / y) / (y * y). [para(32973(a,1),32973(a,1,1))].

37156 a(x / y,y,x) = 0. [para(33012(a,1),64(a,1,1)),rewrite([12(3),26(3)]),flip(a)].

37234 a(x,y,x * y) = 0. [para(11(a,1),37156(a,1,1))].

37335 a(x,0 / y,x / y) = 0. [para(29065(a,1),37234(a,1,3))].

37490 (x / y) * (x / y) = x * ((y \ x) / y). [para(37335(a,1),18(a,1,2)),rewrite([12498(4),29403(2),8(5),29065(6)]),flip(a)].

38253 (x / y) * (y * (x \ y)) = y. [para(35212(a,1),10(a,1,2)),rewrite([13861(4)])].

38516 a(x / y,y,x \ y) = 0. [para(38253(a,1),64(a,1,1)),rewrite([12(2),9(2),26(1)]),flip(a)].

38555 a(C / x,x,x / C) = 0. [para(79(a,1),38516(a,1,3))].

38632 a(C / x,x,x / (C * C)) = 0. [para(32973(a,1),38555(a,1,3)),rewrite([31520(4),35762(11),16(6,R),52(6)])].

42338 (x * C) * (C * y) = C * (C * (x * y)). [para(620(a,2),349(a,1,2,1)),rewrite([35208(6),30017(6),21699(7),29524(4),30809(7),31689(7),295

24(10),32076(9),30413(10),31(10)])].

42504 a(x,C,C * y) = a(x,y,C * C). [back_rewrite(2048),rewrite([42338(10),2043(11)]),flip(a)].

42507 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(892),rewrite([42338(10)])].

42508 (x * (y * (C * C))) * a(x,C,C * y) = C * (C * (x * y)). [back_rewrite(789),rewrite([42338(15)])].

43590 (x * C) * (y * C) = C * (C * (x * y)). [para(16(a,2),626(a,1,2,3)),rewrite([42508(10)]),flip(a)].

43601 (x * C) * (y * (C * C)) = C * (C * (x * (y * C))). [para(31641(a,1),626(a,1,2,3)),rewrite([306(6,R),16(5,R),1498(14),16(13,R),42338(14

)])].

43619 (C * x) * (C * y) = C * (C * (x * y)). [back_rewrite(893),rewrite([43590(10)])].

43622 C * ((C * x) * (y * x)) = C * (x * ((y * C) * x)). [back_rewrite(31863),rewrite([43601(7),365(10),29524(8),52(8),29248(5)]),flip(a)].

43676 (C * x) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(19608),rewrite([43622(12)])].

43691 (x * C) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(18890),rewrite([43622(12)])].

43699 (C * x) * (y * (C * x)) = C * (x * ((y * C) * x)). [back_rewrite(18661),rewrite([43622(12)])].

44569 (C * x) * (y * x) = x * ((y * C) * x). [para(656(a,2),349(a,2)),rewrite([306(9,R),16(8,R),52(8),43699(7),10(8),52(12),36(12)]),flip(a)

].

44590 (x / C) * (y * (z * (y * x))) = x * ((y * (z * (y / C))) * x). [back_rewrite(34696),rewrite([44569(10),16(8,R),35748(8)]),flip(a)].

44596 (x / C) * (y * x) = x * ((y / C) * x). [back_rewrite(24263),rewrite([44569(8),16(6,R),743(6)]),flip(a)].

44767 C * (C * ((x / C) * y)) = x * (C * y). [para(880(a,1),659(a,2,2,2)),rewrite([16(9,R),11597(14),32145(9),36540(11),13407(9),30554(10),9

(7)])].

44776 (C * (x \ (C * y))) * x = C * (x \ (y * (C * x))). [back_rewrite(31714),rewrite([44767(8)]),flip(a)].

44781 (x * (C * y)) / C = C * ((x / C) * y). [back_rewrite(36490),rewrite([44776(10),21703(11),9(5)])].

44823 x \ ((C / x) * (x * y)) = C * (x \ y). [back_rewrite(31026),rewrite([44781(12),35569(10),13216(10),12498(9)])].

44834 C * ((x / C) * (y * (x * (C * C)))) = x * (C * (y * (C * x))). [back_rewrite(19295),rewrite([44781(10)])].

45923 (C / x) * (x * (x / (C * C))) = x / C. [para(38632(a,1),18(a,1,2)),rewrite([8(10),12(11),743(14)])].

48651 C * ((x / C) / (x * ((y * C) * x))) = 0 / ((x * C) * y). [para(29248(a,1),12866(a,1,2)),rewrite([43691(8),32145(9)])].

48783 x \ (C * (C * y)) = C * ((C / x) * y). [para(12892(a,1),381(a,2,1)),rewrite([33168(10),29496(8),16(10,R),31(11),55(12),43619(11),339(1

3),10(12),10(9),31(11),12498(12)]),flip(a)].

48819 x \ (y * (C * C)) = C * ((C / x) * y). [back_rewrite(10911),rewrite([48783(5)]),flip(a)].

48823 C * ((C / (x * (C * (y * C)))) * (x * y)) = a(x,y,C * C). [back_rewrite(2040),rewrite([48783(11)])].

48852 x \ (C * (y * C)) = C * ((C / x) * y). [back_rewrite(10907),rewrite([48819(10)])].

49052 (x / C) / (C * C) = x / (C * (C * C)). [para(13840(a,1),32076(a,2,2)),rewrite([37490(5),79(2),32973(4),30843(8),35569(5),13843(5),3712

2(7),31519(7),16(6,R),29065(8),29065(14)]),flip(a)].

49100 C * (x / (C * (C * (C * C)))) = x / (C * (C * C)). [back_rewrite(37089),rewrite([49052(16)])].

49557 a(C,x,y * x) = a(x,y,x * C). [para(11(a,1),31994(a,1,2)),flip(a)].

49558 a(x / C,y * (C / x),x) = a(C,x / C,y). [para(12(a,1),31994(a,1,3)),rewrite([31520(5)])].

49565 a(C * x,y,C * (C * x)) = a(C,C * x,y * (x * C)). [para(877(a,1),31994(a,1,2)),rewrite([16(6,R)])].

49796 (C / x) / (C * y) = C / (y * (C * x)). [para(366(a,1),32221(a,1,1)),rewrite([31(4),55(5),33168(9),29496(7),13216(7),16(7,R),29065(7),3

1(14),21703(15),44781(11),36413(12),29496(7)]),flip(a)].

50140 C * ((x / C) / (x * (y * x))) = C / (x * (C * y)). [para(365(a,1),35381(a,2,2)),rewrite([385(10),44596(9),29524(7),52(7),32145(7),3641

3(14),29496(9),49796(12)])].

50210 C / (x * (C * (y * C))) = 0 / ((x * C) * y). [back_rewrite(48651),rewrite([50140(9)])].

50220 C * (((x * C) * y) \ (x * y)) = a(x,y,C * C). [back_rewrite(48823),rewrite([50210(8),12498(8)])].

50382 (x * y) \ (y * z) = y \ ((x \ y) * z). [para(35464(a,1),349(a,2,1)),rewrite([9(3),12498(8)]),flip(a)].

50819 C * (x \ ((x / y) * (y / C))) = a(C,x,C * y). [para(886(a,1),102(a,1,2)),rewrite([16(5,R),43619(10),48783(11),13216(8),12498(8),32137(

6),32138(5)])].

50828 (x \ ((x / y) * (y * C))) / C = a(C * x,C,y). [para(886(a,1),32221(a,1,1)),rewrite([43619(5),16(10,R),32137(11),13216(6),12498(8),3213

7(6),79(7),35358(13)])].

51381 a(x,y / (C * C),C * C) = a(x,C,y / C). [para(743(a,1),42504(a,1,3)),flip(a)].

51476 0 / a(C,x,y * C) = a(C * C,x,y). [para(888(a,1),32221(a,1,1)),rewrite([42507(5),16(10,R),32137(11),13216(6),12498(8),32137(6),79(7),32

597(7)]),flip(a)].

52538 a(C,x / C,y * (x / C)) = a(x / C,y,x). [para(12(a,1),49557(a,2,3))].

52554 a(C,C * x,y * (x * C)) = a(C,x * C,y * (C * x)). [para(49557(a,1),2054(a,1)),rewrite([16(6,R),49565(7)])].

52605 (x / y) * (z * (C * C)) = C * ((C * (x / y)) * z). [para(916(a,1),13861(a,2)),rewrite([48852(6),31520(4)]),flip(a)].

52986 (x / y) * (C * (C * z)) = C * ((C * (x / y)) * z). [para(920(a,2),13861(a,2)),rewrite([48819(6),31520(4)]),flip(a)].

54292 (x * C) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(16(a,2),973(a,2,1)),rewrite([973(10),977(14)])].

54294 0 / a(x,C,y / (C * C)) = a(C,x / C,y / C). [para(973(a,1),32226(a,1,1)),rewrite([54292(7),2000(11)]),flip(a)].

54335 C * ((x / (C * (C * C))) * y) = (x / C) * (y / C). [para(977(a,1),363(a,1,1)),rewrite([29524(9),13407(8),49052(7),743(17)])].

54336 (x * y) / (C * C) = (x / C) * (y / C). [para(977(a,1),381(a,1,2,1)),rewrite([27(7),7(8),52(7),339(5),79(4),29403(5),79(3),32973(5),329

73(13),306(12,R),16(11,R),31(17),52986(18),49100(16),54335(14)])].

54764 a(C / x,x * (x / (C * C)),y) = 0. [para(79(a,1),33140(a,1,2,1)),rewrite([29496(2),79(6),37490(7),79(4),32973(6)])].

55893 (x * (y * (C * z))) / C = (C * x) * ((y / C) * z). [para(1224(a,1),382(a,2,2)),rewrite([31(7),31(15),52986(16),743(14),43619(13),48783

(14),13608(6),12498(11),349(9),36(10),31(14),55(15),21703(16)]),flip(a)].

56265 (x / (C * y)) * y = (x / y) * (y / C). [para(1236(a,1),10(a,1,2)),rewrite([32699(4)]),flip(a)].

56267 x * ((y / (C * x)) * (x * z)) = ((x * y) / C) * z. [para(1236(a,1),13(a,1,1)),flip(a)].

56270 (x / C) * (C * y) = C * (x * (y / C)). [para(625(a,1),1236(a,1,2,1,2)),rewrite([43699(11),16(8,R),36540(10),54336(8),13859(9),363(10)]

),flip(a)].

56275 x * (((y / x) / C) * x) = (x / C) * y. [para(1236(a,1),365(a,2,2)),rewrite([52(6),13407(8),44569(9),16(7,R),743(7),52(12)])].

56277 (x * (x * y)) / C = x * ((x / C) * y). [para(1236(a,1),428(a,2)),rewrite([56265(10),32076(9),1709(11),8(6),56265(6),32076(5),11597(7),

29524(2),31692(5),56275(5),31(6)]),flip(a)].

56342 C * ((x / C) * (y / C)) = (x * y) / C. [para(1236(a,1),902(a,2)),rewrite([56267(8),56270(6),36999(9),13407(7),54336(6),11(8)])].

56439 ((C * x) * y) / C = C * (x * (y / C)). [back_rewrite(363),rewrite([56270(10)])].

56448 (x * (x / (C * C))) * y = x * ((x / C) * (y / C)). [back_rewrite(13449),rewrite([56277(6)]),flip(a)].

56470 (C * x) * (y / (C * C)) = (x * y) / C. [back_rewrite(977),rewrite([56342(14)])].

57243 C / (x * (C * (C * (x * y)))) = 0 / (x * (x * (C * y))). [para(1255(a,1),13216(a,1,2))].

65392 (x \ ((C / y) * (y * x))) / C = a(C,x,y * (x * C)). [para(1498(a,1),102(a,1,2)),rewrite([16(6,R),43676(12),32137(13),13216(7),12498(10

),32137(8),12862(3),12498(7),349(5),79(7)])].

67104 (C / x) * (x * ((x / C) * y)) = C * (x * (y / C)). [para(54764(a,1),886(a,1,2)),rewrite([56448(10),11(8),8(9),45923(15),56270(12)])].

67105 (x / C) * (y * C) = C * (x * (y / C)). [para(54764(a,1),888(a,1,2)),rewrite([56448(10),29524(8),52(8),67104(7),8(7),45923(13)]),flip(a

)].

67153 a(C,x * C,y * (C * x)) = a(C,x,y * (x * C)). [para(115(a,1),1639(a,1,2)),rewrite([1500(8),43699(7),13(16),32137(17),13216(9),12498(14)

,32137(12),12862(5),12498(11),50382(9),29496(4),35398(9),13216(5),12498(7),29244(5),29496(3),79(7),65392(7)]),flip(a)].

67165 a(C,C * x,y * (x * C)) = a(C,x,y * (x * C)). [back_rewrite(52554),rewrite([67153(14)])].

67167 a(C * x,y,C * (C * x)) = a(C,x,y * (x * C)). [back_rewrite(49565),rewrite([67165(14)])].

68025 a(C,C * (x * (y * x)),z) = a(C,x * (y * x),z). [para(1698(a,1),49557(a,1,3)),rewrite([16(21,R),67167(22),16(18,R),1698(19)])].

69250 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(1871(a,1),349(a,1,2))].

69252 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(1871(a,1),381(a,1,2)),rewrite([11(7),32137(6),79(6),12862(10),1871(13),12498(

14),69250(12)])].

69326 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(32880),rewrite([69252(6),44823(7)]),flip(a)].

69328 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(69252),rewrite([69326(6),32699(5)]),flip(a)].

70331 (x * y) \ (C * (x * (y / C))) = a(x,y / C,C). [para(16(a,2),1979(a,1,2))].

70356 a(x * C,y / C,C) = 0 / a(x,C,y). [para(1871(a,1),1979(a,1,2,1)),rewrite([16(10,R),44767(10),32223(7)]),flip(a)].

70582 a(C * C,x,y) = a(C * x,C,y). [para(358(a,1),1983(a,1,2,1)),rewrite([52986(8),52(6),55(10),32137(11),13216(6),12498(8),32137(6),79(7),3

2597(7),16(9,R),52(9)])].

70863 a(C,x,C * (y * C)) = a(C,x,C * y). [para(916(a,1),1990(a,1,2)),rewrite([43601(14),48783(15),13216(10),12498(12),32137(10),56265(9),11(

8),32138(5),50819(7)]),flip(a)].

70923 ((x * y) \ ((C * x) * y)) / C = a(C * x,y,C). [para(76(a,1),1991(a,1,1)),rewrite([42338(5),32137(11),13216(6),12498(8),79(7)])].

70990 a(x,C,y / (C * C)) = a(x,y,0 / C). [para(743(a,1),1992(a,1,1,2)),rewrite([56470(10),36454(7),36496(7)]),flip(a)].

71024 a(C,x / C,y / C) = 0 / a(x,y,0 / C). [back_rewrite(54294),rewrite([70990(7)]),flip(a)].

71240 a(C * C,x,y * x) = a(C * x,C,y). [para(56(a,1),1998(a,1,1,2)),rewrite([55(12),32137(13),13607(7),12498(10),32137(8),12862(3),12498(7),

21699(5),79(7),50828(7)]),flip(a)].

71249 a(C * C,x,y / C) = 0 / a(C,x,y). [para(365(a,1),1998(a,1,2)),rewrite([31718(7),29524(8),52(8),32223(7)]),flip(a)].

71261 a(C * C,C * (x * C),y) = a(x,C,y). [para(619(a,1),1998(a,1,2,1)),rewrite([13(7),37(18),48783(19),13216(12),12498(16),32572(14),55893(1

1),27(9),7(8),1992(8),52(6)]),flip(a)].

71447 x / a(y,C,z / C) = x * a(C,y / C,z). [para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].

71456 a(x,C,(C * y) * x) = a(C * x,C,y). [para(621(a,2),1999(a,1,1)),rewrite([44834(16),32572(13),32082(10),52(7),32137(7),12862(2),12498(6)

,21699(4),50828(7),55893(12),16(11,R),52(11)]),flip(a)].

71560 x \ (C * ((x / y) * (y / C))) = a(x / C,y,x). [para(56(a,1),2000(a,1,1)),rewrite([16(6,R),52(6),44596(4),32137(9),12862(4),31520(4),7(

4),69328(6),52538(14)])].

71567 a(C,x / C,(y * (C / x)) * x) = a(x,y,C). [para(358(a,1),2000(a,1,1,2)),rewrite([44767(7),31520(6),52(10),31689(8),16(6,R),1991(7),3152

0(8),52(12)]),flip(a)].

71574 a(C,x / C,C * y) = a(C * x,y,C). [para(619(a,1),2000(a,1,1)),rewrite([52605(8),52(6),32572(11),44781(8),67105(7),31718(8),70923(7),708

63(12)]),flip(a)].

71584 a(C * x,y * x,C) = a(x / C,y,x). [para(656(a,1),2000(a,1,1)),rewrite([306(9,R),16(8,R),52(8),44590(8),27(4),8(3),52(9),32137(9),12862(

4),12498(8),32137(6),79(6),69326(6),32699(5),71560(7),52(11),71574(10)]),flip(a)].

71730 a(C,C * (x * C),y) = a(C,x,y). [para(619(a,1),2001(a,1,2,1)),rewrite([16(7,R),35340(8),43619(7),37(18),48783(19),57243(12),12498(16),3

2572(14),55893(11),27(9),7(8),64(8),52(6),68025(10)]),flip(a)].

71739 a(C,C * x,C * y) = a(x,y / C,C). [para(2001(a,1),1374(a,1)),rewrite([43590(12),43619(20),48783(21),13216(16),12498(18),32572(16),56439

(13),70331(14),52(14)])].

71877 a(C * (C * (C * x)),y,z) = a(x,y,z). [para(55(a,1),2002(a,1,1,1)),rewrite([36747(8),42338(7),55(15),43619(14),55(16),43619(15),48783(1

7),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71878 a(C * (x * (C * C)),y,z) = a(x,y,z). [para(56(a,2),2002(a,1,2,1,1)),rewrite([16(6,R),36747(8),42338(7),35340(15),43619(14),55(16),4361

9(15),48783(17),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71884 a(C,x,C * y) = a(C,x,y). [para(1257(a,2),2002(a,1,2,1,1)),rewrite([16(13,R),450(15),450(29),55(30),43619(29),55(27),43619(26),48783(31

),57243(18),52986(28),29065(19),57243(17),52986(23),29065(18),57243(16),12498(18),32572(16),56439(13),32137(14),13216(9),12498(11),32137(9),7

9(10),32973(12),743(13),52(10),50819(7),71877(18),71878(12)])].

71949 a(C,C * x,y) = a(x,y / C,C). [back_rewrite(71739),rewrite([71884(6)])].

71950 a(C * x,y,C) = a(C,x / C,y). [back_rewrite(71574),rewrite([71884(6)]),flip(a)].

71965 a(C,x,y * C) = a(C,x,y). [back_rewrite(70863),rewrite([71884(6),71884(8)])].

72052 a(C,x / C,y * x) = a(x / C,y,x). [back_rewrite(71584),rewrite([71950(5)])].

72083 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(51476),rewrite([71965(5)]),flip(a)].

72085 a(C,x / C,y) = a(x,y,C). [back_rewrite(71567),rewrite([72052(8),49558(6)])].

72100 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71261),rewrite([72083(8),71730(7)])].

72102 a(x,C,y / C) = a(x,C,y). [back_rewrite(71249),rewrite([72083(6),72100(6),72100(8)])].

72103 a(C * x,C,y) = a(x,C,y * x). [back_rewrite(71240),rewrite([72083(5),72100(5)]),flip(a)].

72107 a(C * x,C,y) = a(x,C,y). [back_rewrite(70582),rewrite([72083(4),72100(4)]),flip(a)].

72190 x / a(y,C,z) = x * a(y,z,C). [back_rewrite(71447),rewrite([72102(4),72085(7)])].

72199 0 / a(x,y,0 / C) = a(x,y / C,C). [back_rewrite(71024),rewrite([72085(6)]),flip(a)].

72264 a(x,y / (C * C),C * C) = a(x,C,y). [back_rewrite(51381),rewrite([72102(12)])].

72305 a(x,C,y * x) = a(x,C,y). [back_rewrite(72103),rewrite([72107(4)]),flip(a)].

72311 a(x,C,C * y) = a(x,C,y). [back_rewrite(71456),rewrite([72305(5),72107(8)])].

72407 a(x * C,y / C,C) = a(x,y,C). [back_rewrite(70356),rewrite([72190(10),7(10)])].

72534 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72311(4)]),flip(a)].

72588 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72264),rewrite([72534(8),70990(6)])].

72596 C * (((x * C) * y) \ (x * y)) = a(x,C,y). [back_rewrite(50220),rewrite([72534(11)])].

72613 a(x,y / C,C) = a(x,y,C). [back_rewrite(72199),rewrite([72588(5),72190(4),7(4)]),flip(a)].

72659 a(x * C,y,C) = a(x,y,C). [back_rewrite(72407),rewrite([72613(6)])].

72661 a(C,C * x,y) = a(x,y,C). [back_rewrite(71949),rewrite([72613(8)])].

72700 a(C,x,y) = a(x,y,C). [back_rewrite(71730),rewrite([72661(6),72659(4)]),flip(a)].

72974 (C * (x * y)) * a(x,y,C) = (C * x) * y. [para(72700(a,1),18(a,1,2))].

73189 a(x,y,C) * a(x,C,y) = 0. [para(2003(a,1),33334(a,1,1)),rewrite([72700(4,R),72661(4),42507(12),48783(13),13216(10),12498(10),72596(9)])

].

163954 a(x,y,C) * a(x,y,C) = a(x,C,y). [para(13631(a,1),33012(a,1,1)),rewrite([72974(11),12498(9),1992(7)]),flip(a)].

163963 $F. [back_rewrite(24),rewrite([163954(13),73189(9)]),xx(a)].

============================== end of proof ==========================

============================== PROOF =================================

% Proof 3 at 345.57 (+ 1.77) seconds.

% Length of proof is 691.

% Level of proof is 61.

% Maximum clause weight is 39.000.

% Given clauses 6302.

2 a(C,x,A) * (a(C,x,A) * a(C,x,A)) = 0 # label(non_clause) # label(goal). [goal].

7 0 * x = x. [assumption].

8 x * 0 = x. [assumption].

9 x * (x \ y) = y. [assumption].

10 x \ (x * y) = y. [assumption].

11 (x * y) / y = x. [assumption].

12 (x / y) * y = x. [assumption].

13 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

14 x * ((y * A) * x) = (x * y) * (A * x). [assumption].

15 (x * y) * (A * x) = x * ((y * A) * x). [copy(14),flip(a)].

16 C * x = x * C. [assumption].

17 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

18 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(17),flip(a)].

20 a(C,c3,A) * (a(C,c3,A) * a(C,c3,A)) != 0. [deny(2)].

26 x \ x = 0. [para(8(a,1),10(a,1,2))].

27 x / x = 0. [para(7(a,1),11(a,1,1))].

28 x / 0 = x. [para(8(a,1),11(a,1,1))].

29 x / (y \ x) = y. [para(9(a,1),11(a,1,1))].

30 (x / y) \ x = y. [para(12(a,1),10(a,1,2))].

31 (x * x) * y = x * (x * y). [para(7(a,1),13(a,1,1,2)),rewrite([7(5)])].

33 (x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z. [para(9(a,1),13(a,1,1,2)),flip(a)].

34 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(13(a,1),10(a,1,2))].

35 (x * (y * (x * z))) / z = x * (y * x). [para(13(a,1),11(a,1,1))].

36 x * ((y / x) * (x * z)) = (x * y) * z. [para(12(a,1),13(a,1,1,2)),flip(a)].

37 (x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))). [para(13(a,1),13(a,1,1,2)),rewrite([13(9)])].

39 x * (((x \ y) * A) * x) = y * (A * x). [para(9(a,1),15(a,1,1)),flip(a)].

42 (x * ((y * A) * x)) / (A * x) = x * y. [para(15(a,1),11(a,1,1))].

43 (x / y) * ((y * A) * (x / y)) = x * (A * (x / y)). [para(12(a,1),15(a,1,1)),flip(a)].

48 C \ (x * C) = x. [para(16(a,1),10(a,1,2))].

49 x \ (C * x) = C. [para(16(a,2),10(a,1,2))].

50 (x * C) / x = C. [para(16(a,1),11(a,1,1))].

51 (C * x) / C = x. [para(16(a,2),11(a,1,1))].

52 C * (x / C) = x. [para(16(a,2),12(a,1))].

53 (x * (x * C)) * y = x * (C * (x * y)). [para(16(a,1),13(a,1,1,2))].

54 C * (x * (C * y)) = C * (x * (y * C)). [para(16(a,1),13(a,2,2,2)),rewrite([13(5)])].

55 (C * (C * x)) * y = C * (x * (C * y)). [para(16(a,2),13(a,1,1,2))].

56 C * (x * (y * x)) = x * (y * (x * C)). [para(16(a,2),13(a,1))].

57 C * (x * (y * x)) = x * (y * (C * x)). [para(16(a,2),13(a,2,2,2)),rewrite([16(4,R)])].

59 (C * x) * (A * x) = x * ((A * C) * x). [para(16(a,2),15(a,1,1)),rewrite([16(8)])].

63 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(9(a,1),18(a,1,1,2))].

64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(18(a,1),10(a,1,2))].

66 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(12(a,1),18(a,1,1,2))].

67 x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z. [para(12(a,1),18(a,1,1))].

71 (x * (y * (x * (z * u)))) * a(x * (y * x),z,u) = (x * (y * (x * z))) * u. [para(13(a,1),18(a,1,1)),rewrite([13(11)])].

76 (C * x) * y = (x * C) * y. [para(16(a,1),18(a,2,1)),rewrite([18(6)])].

77 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(16(a,2),18(a,1,1,2)),rewrite([16(9,R)])].

79 C \ x = x / C. [para(12(a,1),48(a,1,2))].

82 x * (x * ((x * x) \ y)) = y. [para(31(a,1),9(a,1))].

84 (x * (x * y)) / y = x * x. [para(31(a,1),11(a,1,1))].

85 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(31(a,1),13(a,1,1,2)),rewrite([31(7)])].

89 C * (x * x) = x * (x * C). [para(31(a,1),16(a,2))].

90 C * (C * x) = C * (x * C). [para(16(a,1),31(a,2,2)),rewrite([31(4)])].

91 C * (x * x) = x * (C * x). [para(16(a,2),31(a,2,2)),rewrite([16(3,R)])].

93 (x * (x * (y * z))) * a(x * x,y,z) = (x * (x * y)) * z. [para(31(a,1),18(a,1,1)),rewrite([31(8)])].

96 (x / C) * (C * ((x / C) * y)) = ((x / C) * x) * y. [para(52(a,1),13(a,1,1,2)),flip(a)].

97 C * (C * ((x / C) * A)) = x * (A * C). [para(52(a,1),15(a,1,1)),rewrite([16(11,R)]),flip(a)].

98 (x * y) * a(x,C,y / C) = (x * C) * (y / C). [para(52(a,1),18(a,1,1,2))].

99 (x * C) * ((C * x) \ y) = y. [para(76(a,1),9(a,1))].

101 (C * x) \ ((x * C) * y) = y. [para(76(a,1),10(a,1,2))].

102 (x * C) \ ((C * x) * y) = y. [para(76(a,2),10(a,1,2))].

114 ((C * x) * y) * z = ((x * C) * y) * z. [para(76(a,1),18(a,2,1)),rewrite([18(8)])].

115 (x * ((C * y) * z)) * a(x,y * C,z) = (x * (y * C)) * z. [para(76(a,2),18(a,1,1,2))].

117 (C * (x * C)) / (C * x) = C. [para(76(a,1),50(a,1,1)),rewrite([16(4,R)])].

119 ((x * C) * (C * x)) * y = (C * x) * ((C * x) * y). [para(76(a,1),31(a,1,1))].

121 ((C * x) * (x * C)) * y = (x * C) * ((x * C) * y). [para(76(a,2),31(a,1,1))].

138 x * ((x * x) \ y) = x \ y. [para(82(a,1),10(a,1,2)),flip(a)].

140 x * a(y,y,(y * y) \ x) = x. [para(82(a,1),18(a,1,1)),rewrite([9(8)])].

153 (x * y) / (x \ y) = x * x. [para(9(a,1),84(a,1,1,2))].

154 ((x / y) * x) / y = (x / y) * (x / y). [para(12(a,1),84(a,1,1,2))].

156 ((x * y) * (x * ((y * A) * x))) / (A * x) = (x * y) * (x * y). [para(15(a,1),84(a,1,1,2))].

158 (C * (x * C)) / x = C * C. [para(16(a,1),84(a,1,1,2))].

159 (x * (C * x)) / C = x * x. [para(16(a,2),84(a,1,1,2))].

166 x \ (C * (x * x)) = x * C. [para(89(a,2),10(a,1,2))].

196 (x * ((x \ y) * z)) * ((x \ y) * ((x * ((x \ y) * z)) * u)) = ((x * ((x \ y) * z)) * (((x \ y) * y) * z)) * u. [para(33(a,1),13(a,1,1,2)

),flip(a)].

197 ((x * (y * x)) \ z) * (x * (y * (x * (((x * (y * x)) \ z) * u)))) = (((x * (y * x)) \ z) * z) * u. [para(13(a,1),33(a,1,2))].

199 (x \ y) * (x * (C * (x \ y))) = C * ((x \ y) * y). [para(16(a,2),33(a,1,2,2)),rewrite([16(10,R)])].

220 (x / C) * (C * x) = C * ((x / C) * x). [para(90(a,2),33(a,1,2)),rewrite([79(2),79(6),52(7),79(7),16(10,R)])].

245 (C * x) \ y = (x * C) \ y. [para(99(a,1),10(a,1,2)),flip(a)].

251 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(9(a,1),34(a,1,2,2,2))].

282 (C * x) \ (x * C) = 0. [para(8(a,1),101(a,1,2))].

287 (C * (x * x)) \ (x * (x * C)) = 0. [para(31(a,1),282(a,1,2))].

288 (C * (C * x)) \ (C * (x * C)) = 0. [para(76(a,1),282(a,1,2)),rewrite([16(8,R)])].

292 (x * C) \ (C * x) = 0. [para(8(a,1),102(a,1,2))].

296 (x * (y * z)) / (x \ z) = x * (y * x). [para(9(a,1),35(a,1,1,2,2))].

297 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(12(a,1),35(a,1,1,2,2))].

298 x * ((y / (x * z)) * x) = (x * y) / z. [para(12(a,1),35(a,1,1,2)),flip(a)].

300 (x * (y * (z * (y * (x * u))))) / u = x * (y * (z * (y * x))). [para(13(a,1),35(a,1,1,2)),rewrite([13(9)])].

301 ((x * y) * (z * (x * ((y * A) * x)))) / (A * x) = (x * y) * (z * (x * y)). [para(15(a,1),35(a,1,1,2,2))].

302 (A * (x * ((y * A) * x))) / x = A * ((x * y) * A). [para(15(a,1),35(a,1,1,2))].

306 C * (x * C) = x * (C * C). [para(35(a,1),51(a,1))].

311 ((x * C) * (y * ((C * x) * z))) / z = (C * x) * (y * (C * x)). [para(76(a,1),35(a,1,1))].

312 (C * x) * (y * (C * x)) = (x * C) * (y * (x * C)). [para(76(a,2),35(a,1,1,2,2)),rewrite([311(8)])].

339 (x * x) \ y = x \ (x \ y). [para(138(a,1),10(a,1,2)),flip(a)].

345 x / (y \ (y \ x)) = y * y. [para(138(a,1),84(a,1,1,2)),rewrite([9(2),339(2)])].

347 x * a(y,y,y \ (y \ x)) = x. [back_rewrite(140),rewrite([339(2)])].

348 (x * y) * (x \ z) = x * ((y / x) * z). [para(9(a,1),36(a,1,2,2)),flip(a)].

349 x \ ((x * y) * z) = (y / x) * (x * z). [para(36(a,1),10(a,1,2))].

350 ((x * y) * z) / ((y / x) * (x * z)) = x. [para(36(a,1),11(a,1,1))].

351 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) * y. [para(12(a,1),36(a,1,2,2))].

358 x * ((y / x) * (C * x)) = C * (x * y). [para(16(a,2),36(a,1,2,2)),rewrite([16(8,R)])].

360 ((x * y) * z) * a(x,y / x,x * z) = (x * (y / x)) * (x * z). [para(36(a,1),18(a,1,1))].

363 ((C * x) * y) / C = (x / C) * (C * y). [para(36(a,1),51(a,1,1))].

365 (C * x) * (y / C) = C * ((x / C) * y). [para(52(a,1),36(a,1,2,2)),flip(a)].

379 ((x * C) * y) * ((C * x) \ z) = (x * C) * ((y / (x * C)) * z). [para(99(a,1),36(a,1,2,2)),flip(a)].

381 (C * x) \ (((x * C) * y) * z) = (y / (x * C)) * ((x * C) * z). [para(36(a,1),101(a,1,2))].

382 (x * C) \ (((C * x) * y) * z) = (y / (C * x)) * ((C * x) * z). [para(36(a,1),102(a,1,2))].

385 (x * y) * ((z / x) * (x * u)) = x * ((y / x) * ((x * z) * u)). [para(36(a,1),36(a,1,2,2)),flip(a)].

386 x / (x \ 0) = x * x. [para(8(a,1),153(a,1,1))].

391 (x * C) / (x / C) = C * C. [para(16(a,1),153(a,1,1)),rewrite([79(4)])].

392 (C * x) / (x \ C) = x * x. [para(16(a,2),153(a,1,1))].

405 (0 / x) * (0 / x) = (0 / x) / x. [para(30(a,1),386(a,1,2)),flip(a)].

409 (x * (C * (x * C))) * y = x * (C * (C * (x * y))). [para(158(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

421 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (x * C)))). [para(37(a,1),16(a,2))].

425 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (C * x)))). [para(16(a,2),37(a,2,2,2,2,2)),rewrite([16(6,R)])].

428 x * (y * (z * (y * (x * a(x,y,z * (y * x)))))) = (x * y) * (z * (y * x)). [para(37(a,1),18(a,1))].

432 (x * (y * (z * (z * (y * x))))) * u = x * (y * (z * (z * (y * (x * u))))). [para(31(a,1),37(a,1,1,2,2)),rewrite([31(10)])].

450 (x * (x * (C * (y * (x * (x * C)))))) * z = x * (x * (C * (y * (C * (x * (x * z)))))). [para(89(a,1),37(a,1,1,2,2,2)),rewrite([31(8),31(

14),31(18)])].

474 ((C * x) \ y) * ((x * C) * (z * ((x * C) * (((C * x) \ y) * u)))) = (((C * x) \ y) * ((x * C) * (z * y))) * u. [para(99(a,1),37(a,1,1,2,

2,2)),flip(a)].

498 (C * (x * (C * x))) * y = C * (x * (x * (C * y))). [para(159(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

612 (x * (C * C)) / C = x * C. [para(306(a,1),10(a,1,2)),rewrite([79(6)])].

613 x \ (C * (x * C)) = C * C. [para(306(a,2),10(a,1,2))].

615 (C * (x * C)) / (C * C) = x. [para(306(a,2),11(a,1,1))].

618 (x * (C * C)) * y = C * (x * (C * y)). [para(306(a,1),13(a,1,1))].

619 C * (x * (C * (y * C))) = C * (x * (y * (C * C))). [para(306(a,1),13(a,2,2,2)),rewrite([13(7)])].

620 C * (x * (C * x)) = x * (x * (C * C)). [para(306(a,1),13(a,2,2)),rewrite([16(5,R)])].

621 C * (C * (x * (y * x))) = x * (y * (x * (C * C))). [para(306(a,2),13(a,1)),rewrite([16(5,R)])].

622 C * (C * (x * (y * x))) = x * (y * (C * (x * C))). [para(306(a,2),13(a,2,2,2)),rewrite([306(6,R),16(5,R)])].

625 C * (C * x) = x * (C * C). [para(16(a,2),306(a,1,2))].

626 (x * (y * (C * C))) * a(x,C,y * C) = (x * C) * (y * C). [para(306(a,1),18(a,1,1,2))].

630 C * (C * (x * x)) = x * (x * (C * C)). [para(306(a,2),31(a,1)),rewrite([16(4,R)])].

645 (x * (C * C)) / (C * x) = C. [para(306(a,1),117(a,1,1))].

649 (x * (C * C)) / x = C * C. [para(306(a,1),153(a,1,1)),rewrite([79(8),11(8)])].

656 C * (x * (C * (y * (C * x)))) = x * (C * (y * (x * (C * C)))). [para(306(a,1),37(a,2,2,2,2)),rewrite([16(8,R)])].

659 C * (C * (x * (y * (z * (y * x))))) = x * (y * (z * (y * (C * (x * C))))). [para(306(a,2),37(a,2,2,2,2,2)),rewrite([306(8,R),16(7,R)])].

669 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [para(31(a,1),339(a,1,1)),rewrite([339(7),339(8)])].

722 (x * (y * x)) / (A * x) = x * (y / A). [para(12(a,1),42(a,1,1,2,1))].

725 (C * (C * (x * A))) / (A * C) = C * x. [para(16(a,1),42(a,1,1)),rewrite([16(4,R),16(6,R)])].

728 x * (C * y) = x * (y * C). [para(76(a,1),42(a,1,1,2,1)),rewrite([722(9),11(6)]),flip(a)].

743 C * (x / (C * C)) = x / C. [para(12(a,1),612(a,1,1)),rewrite([16(8,R)]),flip(a)].

747 (x / C) \ (C * x) = C * C. [para(12(a,1),613(a,1,2,2))].

782 (C * x) / (C * C) = x / C. [para(12(a,1),615(a,1,1,2))].

789 (x * (y * (C * C))) * a(x,C,C * y) = (x * C) * (C * y). [para(625(a,1),18(a,1,1,2))].

794 (C * x) * (x * (C * C)) = C * ((C * x) * (C * x)). [para(625(a,1),91(a,2,2)),flip(a)].

798 (x * (y * (C * (C * x)))) / (C * C) = x * (y * x). [para(625(a,2),35(a,1,1,2,2))].

877 (x * (y * C)) / (C * y) = x. [para(728(a,1),11(a,1,1))].

879 (x / (C * y)) * (y * C) = x. [para(728(a,1),12(a,1))].

880 (x / (y * C)) * (C * y) = x. [para(728(a,2),12(a,1))].

886 (x * (y * (z * C))) * a(x,y,C * z) = (x * y) * (C * z). [para(728(a,1),18(a,1,1,2))].

888 (x * (y * (C * z))) * a(x,y,z * C) = (x * y) * (z * C). [para(728(a,2),18(a,1,1,2))].

889 (C * x) * ((C * x) * y) = (x * C) * ((x * C) * y). [para(728(a,1),31(a,1,1)),rewrite([121(6)]),flip(a)].

891 x * (C * (y * y)) = x * (y * (y * C)). [para(31(a,1),728(a,2,2))].

892 (C * x) * (y * C) = (x * C) * (C * y). [para(728(a,1),76(a,1))].

893 (C * x) * (C * y) = (x * C) * (y * C). [para(728(a,1),76(a,2))].

897 x * (C * (y * y)) = x * (y * (C * y)). [para(91(a,1),728(a,1,2)),rewrite([16(7,R)]),flip(a)].

902 (x * (y * (x * (C * z)))) / (z * C) = x * (y * x). [para(728(a,2),35(a,1,1,2,2))].

916 x * (C * (y * C)) = x * (y * (C * C)). [para(306(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

920 x * (C * (C * y)) = x * (y * (C * C)). [para(625(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

969 (x / C) / C = x / (C * C). [para(743(a,1),10(a,1,2)),rewrite([79(4)])].

973 (x * (y / C)) * a(x,C,y / (C * C)) = (x * C) * (y / (C * C)). [para(743(a,1),18(a,1,1,2))].

974 (x / (C * C)) \ (x / C) = C. [para(743(a,1),49(a,1,2))].

977 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(743(a,1),36(a,1,2,2)),flip(a)].

987 (0 / C) \ C = C * C. [para(8(a,1),747(a,1,2))].

1096 (x * C) / (C * C) = x / C. [para(16(a,1),782(a,1,1))].

1101 (x / (C * C)) / C = (x / C) / (C * C). [para(743(a,1),782(a,1,1)),flip(a)].

1224 (x * C) * ((y / (C * x)) * ((x * C) * z)) = ((x * C) * y) * z. [para(879(a,1),13(a,1,1,2)),flip(a)].

1228 x * a(x / (C * y),y,C) = C * ((x / (C * y)) * y). [para(879(a,1),18(a,1,1)),rewrite([16(12,R)])].

1229 (x / (C * (y * y))) * (y * (y * C)) = x. [para(31(a,1),879(a,1,2))].

1236 x * ((y / (C * x)) * x) = (x * y) / C. [para(879(a,1),35(a,1,1,2)),flip(a)].

1255 C * (x * (x * (C * y))) = x * (C * (C * (x * y))). [para(53(a,1),76(a,2,1)),rewrite([85(6),409(12)])].

1257 C * (x * (C * (x * (x * (x * C))))) = x * (C * (x * (x * (C * (x * C))))). [para(53(a,1),89(a,2,2)),rewrite([53(8),53(18)])].

1268 (x * (C * (x * C))) \ (C * (x * (x * C))) = 0. [para(53(a,1),292(a,1,1))].

1374 (C * (x * (C * y))) \ z = (C * (x * (y * C))) \ z. [para(54(a,1),245(a,1,1)),rewrite([16(11,R)]),flip(a)].

1486 C * ((x / C) * (y * (x / C))) = (x / C) * (y * x). [para(12(a,1),56(a,2,2,2))].

1498 (x * (C * (y * (z * y)))) * a(x,y,z * (y * C)) = (x * y) * (z * (y * C)). [para(56(a,2),18(a,1,1,2))].

1500 (x * y) * (z * (C * (x * y))) = C * ((x * y) * (z * (x * y))). [para(56(a,2),18(a,2)),rewrite([16(3,R),16(9,R),18(12)])].

1585 a(x,x,x \ (x \ y)) = 0. [para(347(a,1),10(a,1,2)),rewrite([26(1)]),flip(a)].

1607 a(x,x,x \ y) = 0. [para(10(a,1),1585(a,1,3,2))].

1639 (x * (y * (C * x))) \ ((C * (x * (y * x))) * z) = z. [para(57(a,1),101(a,1,1)),rewrite([16(8,R)])].

1698 (x / (y * (z * (C * y)))) * (C * (y * (z * y))) = x. [para(57(a,1),879(a,1,1,2)),rewrite([16(9,R)])].

1709 a(x,x,y) = 0. [para(10(a,1),1607(a,1,3))].

1727 (C * (C * (x * (C * (C * (C * x)))))) \ (C * (x * (C * (C * (C * (C * x)))))) = 0. [para(55(a,1),287(a,1,2)),rewrite([55(10),16(19,R)])

].

1734 (C * (C * (x * (x * C)))) \ (C * (x * (C * (x * C)))) = 0. [para(53(a,1),288(a,1,2,2))].

1820 (0 / x) \ ((0 / x) / x) = 0 / x. [para(405(a,1),10(a,1,2))].

1824 (x * ((0 / y) / y)) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [para(405(a,1),18(a,1,1,2))].

1869 (C * x) * (x \ y) = x * ((C / x) * y). [para(16(a,1),63(a,2,1)),rewrite([63(6),348(8)])].

1871 (x * C) * (y / C) = C * ((x / C) * y). [para(16(a,2),63(a,2,1)),rewrite([79(4),98(6),79(9),365(10)])].

1907 (C * x) * ((C / (C * x)) * y) = C * (x * (C * ((C * x) \ y))). [para(625(a,1),63(a,2,1)),rewrite([63(10),1869(8),618(16)])].

1977 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(9(a,1),64(a,1,2,1))].

1979 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(12(a,1),64(a,1,1,2))].

1983 (x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u). [para(13(a,1),64(a,1,1)),rewrite([13(7)])].

1990 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(16(a,1),64(a,1,2,1))].

1991 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(16(a,2),64(a,1,1,2)),rewrite([16(6,R)])].

1992 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(16(a,2),64(a,1,2,1))].

1998 (x * (x * (y * z))) \ ((x * (x * y)) * z) = a(x * x,y,z). [para(31(a,1),64(a,1,1)),rewrite([31(5)])].

1999 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(52(a,1),64(a,1,1,2)),rewrite([1871(6)])].

2000 (C * ((x / C) * y)) \ (x * y) = a(C,x / C,y). [para(52(a,1),64(a,1,2,1))].

2001 (x * ((y * C) * z)) \ ((x * (C * y)) * z) = a(x,C * y,z). [para(76(a,1),64(a,1,1,2))].

2002 ((x * C) * (y * z)) \ (((C * x) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,1))].

2004 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(76(a,2),64(a,1,1,2))].

2042 a(x,C * C,y) = a(x,C * y,C). [para(306(a,2),64(a,1,2,1)),rewrite([31(4),13(10),1991(11)]),flip(a)].

2043 (x * (y * (C * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(306(a,2),64(a,1,2)),rewrite([16(9,R)])].

2048 (x * (y * (C * C))) \ ((x * C) * (C * y)) = a(x,C,C * y). [para(625(a,1),64(a,1,1,2))].

2054 a(x,C * y,z) = a(x,y * C,z). [para(728(a,1),64(a,1,2,1)),rewrite([2004(9)]),flip(a)].

2063 x \ (C * ((x / (C * y)) * y)) = a(x / (C * y),y,C). [para(879(a,1),64(a,1,1)),rewrite([16(6,R)])].

2097 (x * ((0 / y) / y)) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [para(405(a,1),64(a,1,1,2))].

2101 a(x,x * C,C) = 0. [back_rewrite(1268),rewrite([1991(11)])].

2103 a(x / C,x,C) = 0. [para(12(a,1),2101(a,1,2))].

2319 C * ((x / (C * y)) * y) = C * ((x / (y * C)) * y). [para(16(a,2),67(a,1,2,1,2)),rewrite([1228(6),16(12,R)])].

2371 C * (C * ((x / (C * (C * y))) * y)) = C * (C * ((x / (y * (C * C))) * y)). [para(625(a,2),67(a,2,1,1,2)),rewrite([67(10),306(10,R),16(9

,R),306(20,R),16(19,R)]),flip(a)].

2377 x * a(x / (y * (C * z)),y,z * C) = ((x / (y * (z * C))) * y) * (z * C). [para(728(a,2),67(a,1,2,1,2))].

2604 (0 / C) \ (0 / (C * C)) = 0 / C. [para(969(a,1),1820(a,1,2))].

3002 a(x,C * C,x) = 0. [para(2042(a,2),2103(a,1)),rewrite([51(4)])].

3032 (x / (C * C)) * x = x * (x / (C * C)). [para(3002(a,1),63(a,1,2)),rewrite([339(4),79(3),79(4),969(4),8(7),339(9),79(8),79(9),969(9),306

(13,R),16(12,R),743(12),52(9),339(9),79(8),79(9),969(9)])].

4520 (C * (C * (x * y))) \ (C * (x * (C * y))) = a(C * C,x,y). [para(93(a,1),102(a,1,2)),rewrite([16(5,R),55(10)])].

4620 a(C * C,x,x * C) = 0. [back_rewrite(1734),rewrite([4520(15)])].

4621 a(C * C,x,C * (C * (C * x))) = 0. [back_rewrite(1727),rewrite([4520(23)])].

4625 a(C * C,x / C,x) = 0. [para(12(a,1),4620(a,1,3))].

4639 C * (C * ((x / C) * x)) = (C * x) * x. [para(4625(a,1),18(a,1,2)),rewrite([31(7),8(9),31(13),52(12)])].

4847 (x / C) * (C * (C * x)) = (C * x) * x. [para(306(a,2),96(a,1,2,2)),rewrite([16(8,R),52(8),306(14,R),16(13,R),4639(14)])].

5354 a(C * C,x / C,C * (C * x)) = 0. [para(9(a,1),4621(a,1,3,2,2)),rewrite([79(5)])].

5744 C * ((C * x) * (C * x)) = C * (C * ((C * x) * x)). [para(5354(a,1),18(a,1,2)),rewrite([4847(10),31(7),8(9),31(13),52(12),91(14,R)]),fli

p(a)].

5792 (C * x) * (x * (C * C)) = C * (C * ((C * x) * x)). [back_rewrite(794),rewrite([5744(14)])].

6372 ((x * C) * y) / C = (x / C) * (C * y). [para(114(a,1),1096(a,1,1)),rewrite([16(5,R),782(9),363(10)])].

8072 (C * x) * (C * (C * (x * A))) = C * (C * (((C * x) * x) * A)). [para(119(a,1),97(a,2)),rewrite([6372(9),4847(9),15(17),16(16,R)]),flip(

a)].

8405 (x * C) * (C * x) = C * ((C * x) * x). [para(16(a,1),156(a,2,1)),rewrite([16(7,R),8072(9),725(13)]),flip(a)].

8619 (C * ((C * x) * x)) * y = (C * x) * ((C * x) * y). [back_rewrite(119),rewrite([8405(5)])].

10744 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(9(a,1),251(a,1,2,2))].

10748 (x * (y * (x * (z * (x * (y * x)))))) \ (x * (y * (x * (z * u)))) = (x * (y * x)) \ u. [para(13(a,1),251(a,1,1)),rewrite([13(10)])].

10770 x \ (C * y) = x \ (y * C). [para(91(a,2),251(a,1,2,2)),rewrite([10744(7),166(4)]),flip(a)].

10806 (C * (x * (C * (y * (C * (C * x)))))) \ (C * (x * (C * (y * z)))) = (C * (C * x)) \ z. [para(55(a,1),251(a,1,1)),rewrite([55(16)])].

10907 x \ (C * (y * C)) = x \ (y * (C * C)). [para(306(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

10911 x \ (C * (C * y)) = x \ (y * (C * C)). [para(625(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

11483 (x * y) / (x \ z) = x * ((y / z) * x). [para(12(a,1),296(a,1,1,2))].

11512 ((0 / C) * (x * (0 / (C * C)))) / (0 / C) = (0 / C) * (x * (0 / C)). [para(2604(a,1),296(a,1,2))].

11593 x \ ((x * y) / z) = (y / (x * z)) * x. [para(298(a,1),10(a,1,2))].

11597 x * ((y / (x * z)) * (x * u)) = ((x * y) / z) * u. [para(298(a,1),13(a,1,1)),flip(a)].

11601 C * (C * (x / (C * y))) = (C * x) / y. [para(298(a,1),16(a,1)),rewrite([16(8,R),16(10,R)]),flip(a)].

11615 x * ((y / (C * (x * x))) * x) = (x * y) / (x * C). [para(89(a,2),298(a,1,2,1,2))].

11656 C * ((C * (x / (C * y))) * (C * z)) = (C * ((C * x) / y)) * z. [para(298(a,1),55(a,1,1,2)),rewrite([16(12,R)]),flip(a)].

11787 (x * y) / ((z / (x * u)) * x) = x * ((y / ((x * z) / u)) * x). [para(298(a,1),298(a,1,2,1,2)),flip(a)].

12050 x * ((0 / x) * y) = y. [para(8(a,1),348(a,1,1)),rewrite([9(2)]),flip(a)].

12083 C * (((C * x) * x) * (C * ((C * x) \ y))) = (C * x) * (C * y). [para(645(a,1),348(a,2,2,1)),rewrite([5792(7),55(11)])].

12086 (0 / C) * (C * (x / (0 / C))) = C * x. [para(987(a,1),348(a,1,2)),rewrite([306(8,R),16(7,R),12050(7),16(11,R)]),flip(a)].

12105 x * ((0 / x) / x) = 0 / x. [para(405(a,1),348(a,2,2)),rewrite([8(2),9(4)]),flip(a)].

12496 x * (0 / x) = 0. [para(8(a,1),12050(a,1,2))].

12497 (0 / x) \ y = x * y. [para(9(a,1),12050(a,1,2)),flip(a)].

12498 (0 / x) * y = x \ y. [para(12050(a,1),10(a,1,2)),flip(a)].

12503 (x \ y) / y = 0 / x. [para(12050(a,1),35(a,1,1,2)),rewrite([12498(3),12496(7),8(6)])].

12504 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(36(a,1),12050(a,1,2)),rewrite([12498(3),12498(9)]),flip(a)].

12505 (x * (y \ x)) * z = x * (y \ (x * z)). [para(12050(a,1),37(a,1,1,2,2)),rewrite([12498(3),12498(9),9(8),12498(7)])].

12513 x * (0 / C) = x / C. [para(12050(a,1),56(a,1)),rewrite([16(12,R),12496(12),8(9),12498(8),79(6)])].

12515 a(x,0 / x,y) = 0. [para(12050(a,1),64(a,1,1)),rewrite([12496(3),7(2),26(1)]),flip(a)].

12555 x / (0 / C) = C * x. [back_rewrite(12086),rewrite([12498(10),10(8)])].

12558 x * (0 / (C * C)) = x / (C * C). [back_rewrite(11512),rewrite([12498(10),79(8),12555(12),52(10),12513(13),12498(12),79(10),969(10)])].

12584 x \ (0 / x) = (0 / x) / x. [back_rewrite(405),rewrite([12498(5)])].

12620 x \ 0 = 0 / x. [para(12496(a,1),10(a,1,2))].

12628 (x * C) * (0 / (C * x)) = 0. [para(12496(a,1),76(a,1)),flip(a)].

12632 (x * y) / (0 / x) = x * (y * x). [para(12496(a,1),35(a,1,1,2,2)),rewrite([8(2)])].

12633 (x * y) * (0 / x) = x * (y / x). [para(12496(a,1),36(a,1,2,2)),rewrite([8(3)]),flip(a)].

12641 C * (0 / A) = C / A. [para(12496(a,1),59(a,1,2)),rewrite([8(7),12633(15),12498(14),10(12)])].

12643 (x / y) * (y * (0 / x)) = a(y,x,0 / x). [para(12496(a,1),64(a,1,1,2)),rewrite([8(2),349(5)])].

12697 (0 / x) / x = 0 / (x * x). [para(12620(a,1),339(a,1)),rewrite([12620(5),12584(6)]),flip(a)].

12715 x \ (0 / x) = 0 / (x * x). [back_rewrite(12584),rewrite([12697(6)])].

12732 x * (0 / (x * x)) = 0 / x. [back_rewrite(12105),rewrite([12697(3)])].

12756 (x * (0 / (y * y))) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [back_rewrite(2097),rewrite([12697(3)])].

12760 (x * (0 / (y * y))) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [back_rewrite(1824),rewrite([12697(3)])].

12852 a(0 / x,x,y) = 0. [para(29(a,1),12515(a,1,2)),rewrite([12620(2)])].

12862 x / (y * x) = 0 / y. [para(12497(a,1),29(a,1,2))].

12863 x / (y * (y * x)) = 0 / (y * y). [para(12497(a,1),345(a,1,2,2)),rewrite([12497(4),12498(8),12715(6)])].

12868 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(12497(a,1),348(a,1,2)),rewrite([12498(3),12498(10)]),flip(a)].

12871 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(12498(a,1),13(a,1,1)),rewrite([12498(10),12498(10)])].

12873 C * (0 / x) = x \ C. [para(12498(a,1),16(a,2))].

12884 x \ (C * C) = C * (x \ C). [para(12498(a,1),306(a,2)),rewrite([16(5,R),12873(5)]),flip(a)].

12888 x * (C * (x \ C)) = C * C. [para(12498(a,1),613(a,1,2,2)),rewrite([12497(7)])].

12890 A * (0 / x) = A / x. [para(12498(a,1),43(a,1)),rewrite([12633(5),10(4),7(8)]),flip(a)].

12892 (x \ (y * C)) / (C * y) = 0 / x. [para(12498(a,1),877(a,1,1))].

12979 x * ((x * y) \ x) = x / y. [para(12498(a,1),298(a,1,2)),rewrite([8(5)])].

12990 A \ C = C / A. [back_rewrite(12641),rewrite([12873(5)])].

13215 0 / (x / y) = y / x. [para(30(a,1),12503(a,1,1)),flip(a)].

13216 C / (C * x) = 0 / x. [para(49(a,1),12503(a,1,1))].

13223 (C * C) / x = C / (x / C). [para(974(a,1),12503(a,1,1)),rewrite([13215(10)]),flip(a)].

13230 (C / A) / C = 0 / A. [para(12990(a,1),12503(a,1,1))].

13231 C * (x * (C * ((C * x) \ y))) = x * ((C / x) * y). [back_rewrite(1907),rewrite([13216(6),12498(5),1869(4)]),flip(a)].

13406 x \ (x / C) = 0 / C. [para(12513(a,1),10(a,1,2))].

13407 (x * (y / C)) / C = (x / (C * C)) * y. [para(12513(a,1),13(a,1,1,2)),rewrite([12498(6),79(4),969(4),12498(12),79(10),12498(12),79(10)]

),flip(a)].

13413 (x * x) / C = x * (x / C). [para(12513(a,1),31(a,1)),rewrite([12513(7)])].

13414 C * (x * (x / C)) = x * x. [para(12513(a,1),84(a,1,1,2)),rewrite([12555(7)])].

13419 C * (x * (y * (x / C))) = x * (y * x). [para(12513(a,1),35(a,1,1,2,2)),rewrite([12555(8)])].

13421 (x * (y * (x * (z / C)))) / C = ((x * (y * (x / C))) / C) * z. [para(12513(a,1),37(a,1,1,2,2,2)),rewrite([12498(8),79(6),12498(14),79(

12),12498(16),79(14)]),flip(a)].

13449 (x * (x * (y / C))) / C = (x * (x / (C * C))) * y. [para(12513(a,1),85(a,1,1,2,2)),rewrite([12498(7),79(5),13407(5),3032(5),12498(13),

79(11),12498(14),79(12)]),flip(a)].

13481 x \ (0 / C) = (0 / x) / C. [para(12513(a,1),12498(a,1)),flip(a)].

13607 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(13(a,1),12862(a,1,2))].

13608 x / (x * C) = 0 / C. [para(16(a,1),12862(a,1,2))].

13614 x / (y * (z * (u * (z * (y * x))))) = 0 / (y * (z * (u * (z * y)))). [para(37(a,1),12862(a,1,2))].

13631 a(x,y,C) / (C * (x * y)) = 0 / (x * (C * y)). [para(77(a,1),12862(a,1,2))].

13644 (x \ y) / (x * y) = 0 / (x * x). [para(12862(a,1),154(a,1,1,1)),rewrite([12498(3),12862(5),12862(7),12498(8),12715(6)])].

13785 C * (C * (x / (y \ C))) = (C * x) / (0 / y). [para(12873(a,1),298(a,1,2,1,2)),rewrite([16(6,R)])].

13786 C * (((0 / x) / C) * y) = (x \ C) * (y / C). [para(12873(a,1),348(a,1,1)),rewrite([79(4)]),flip(a)].

13796 (A / x) / (0 / x) = A. [para(12890(a,1),11(a,1,1))].

13837 (x / y) * (y / x) = 0. [para(13215(a,1),12(a,1,1))].

13839 x / (C * (x * C)) = 0 / (C * C). [para(158(a,1),13215(a,1,2)),flip(a)].

13840 (x / C) / (x * C) = 0 / (C * C). [para(391(a,1),13215(a,1,2)),flip(a)].

13843 x / (x * (C * C)) = 0 / (C * C). [para(649(a,1),13215(a,1,2)),flip(a)].

13844 x * a(x,y / z,z / y) = (x * (y / z)) * (z / y). [para(13215(a,1),66(a,1,2,2)),rewrite([8(2),13215(7)])].

13859 (x / y) * ((y / x) * z) = z. [para(13215(a,1),348(a,2,2,1)),rewrite([8(3),9(4)]),flip(a)].

13861 (x / y) \ z = (y / x) * z. [para(13215(a,1),12497(a,1,1))].

13862 (0 / C) / x = 0 / (C * x). [para(12555(a,1),13215(a,1,2)),flip(a)].

13997 C / (x / C) = C * (x \ C). [para(13216(a,1),298(a,1,2,1)),rewrite([16(5,R),12873(5),13223(8)]),flip(a)].

14010 (C * C) / x = C * (x \ C). [back_rewrite(13223),rewrite([13997(8)])].

14320 (0 / x) / (0 / (x * A)) = A. [para(12862(a,1),13796(a,1,1))].

15730 (x * y) * (0 / (x * x)) = x * ((y / x) * (0 / x)). [para(12715(a,1),348(a,1,2))].

15758 a(x,0 / (x * x),y) = 0. [para(12732(a,1),64(a,1,2,1)),rewrite([12498(4),339(2),9(3),12498(4),26(3)]),flip(a)].

15975 a(0 / x,x * x,y) = 0. [para(12498(a,1),15758(a,1,2,2)),rewrite([12715(6),13215(7),28(5)])].

16003 (x * C) * (C / x) = C * C. [para(12884(a,1),99(a,1,2)),rewrite([12979(8)])].

16162 x / (x \ y) = x * (y \ x). [para(9(a,1),12979(a,1,2,1)),flip(a)].

16163 (x * y) \ x = x \ (x / y). [para(12979(a,1),10(a,1,2)),flip(a)].

16187 (C / x) / (C * (C / (C / x))) = ((C / x) / C) * ((C / x) / C). [para(12979(a,1),392(a,1,1)),rewrite([16163(6),79(6),13861(8),16(8,R),1

6163(13),79(13),16163(17),79(17)])].

16198 x * ((C * (x * (y * x))) \ x) = x / (y * (x * C)). [para(56(a,2),12979(a,1,2,1))].

16261 x * ((0 / x) / C) = 0 / C. [para(13608(a,1),12979(a,2)),rewrite([16163(4),13608(3),13481(4)])].

16275 x / (C * (x \ C)) = x * (x / (C * C)). [para(12888(a,1),12979(a,1,2,1)),rewrite([339(4),79(3),79(4),969(4)]),flip(a)].

16522 0 / (x * (x / C)) = C / (x * x). [para(13413(a,1),13215(a,1,2))].

16705 (x * y) * ((0 / x) / C) = x * ((y / x) / C). [para(13481(a,1),348(a,1,2)),rewrite([12513(11)])].

16775 (x / (y / z)) * ((y / z) * u) = (z / y) * (((y / z) * x) * u). [para(36(a,1),13859(a,1,2)),flip(a)].

16789 ((x / y) * (((y / x) * z) * u)) \ (z * u) = a(x / y,(y / x) * z,u). [para(13859(a,1),64(a,1,2,1))].

16814 (x / ((y / z) * u)) * (y / z) = (z / y) * (((y / z) * x) / u). [para(298(a,1),13859(a,1,2)),flip(a)].

16853 x * ((C * (x * y)) \ x) = (x / C) / y. [para(13862(a,1),298(a,1,2,1)),rewrite([12498(6),12513(9)])].

16858 (x / C) / (y * x) = x / (y * (x * C)). [back_rewrite(16198),rewrite([16853(6)])].

18244 ((x * C) * (y * (C * C))) / (C / x) = (x * C) * (y * (x * C)). [para(16003(a,1),35(a,1,1,2,2))].

18285 (C / x) / (C * C) = 0 / (x * C). [para(16003(a,1),12862(a,1,2))].

18347 x * ((y / (x / y)) * x) = (x * y) * y. [para(10(a,1),16162(a,2,2)),rewrite([16163(3),11483(4)])].

18441 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(18(a,1),16163(a,1,1)),flip(a)].

18444 ((C * x) * y) \ (x * C) = (x * C) \ ((x * C) / y). [para(76(a,2),16163(a,1,1))].

18511 (C * ((x / C) * x)) \ (x / C) = 0 / (x * C). [para(220(a,1),16163(a,1,1)),rewrite([16858(15),13839(15),13861(16),12558(16),18285(14)])

].

18573 x \ (y * (0 / x)) = (x \ y) / x. [para(8(a,1),297(a,1,1,2)),rewrite([12498(3),12498(8)]),flip(a)].

18661 (C * x) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(297(a,1),12555(a,1)),rewrite([12555(4),12555(6),12555(11)])].

18664 x \ (x \ C) = (x \ C) / x. [para(12873(a,1),297(a,2,2)),rewrite([8(5),16(4,R),12873(4),12498(8)]),flip(a)].

18670 (A \ (x * (C / A))) / C = (A \ x) / A. [para(13230(a,1),297(a,1,1,1)),rewrite([12498(8),13230(13),13230(16),12498(16),18573(14)])].

18738 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(12871),rewrite([18573(4)]),flip(a)].

18890 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [back_rewrite(312),rewrite([18661(6)]),flip(a)].

19032 ((x * C) * (y * (C * C))) / (C / x) = C * ((C * x) * (y * x)). [back_rewrite(18244),rewrite([18890(16)])].

19227 (x * y) / ((0 / x) / C) = x * ((C * y) * x). [para(16261(a,1),298(a,1,2,1,2)),rewrite([12555(4)]),flip(a)].

19295 (x * (C * (y * (x * (C * C))))) / C = x * (C * (y * (C * x))). [para(306(a,1),300(a,1,1,2,2,2))].

19606 ((C * x) * (y * (C * (C * (x * A))))) / (A * C) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,1,1,2,2)),rewrite([16(6,R),16(8,R),1866

1(20)])].

19608 (C * x) * (y * (x * C)) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,2,2,2)),rewrite([16(7,R),19606(14)]),flip(a)].

19806 x * ((x \ C) / x) = x \ C. [para(18664(a,1),9(a,1,2))].

19951 A * ((x \ (x / A)) * A) = A. [para(12496(a,1),302(a,1,1,2,2)),rewrite([8(7),12890(6),12862(4),14320(7),12498(7),16163(5)]),flip(a)].

20574 (x \ (x / A)) * A = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].

20575 A * ((x \ (x / A)) * (A * y)) = A * y. [para(19951(a,1),13(a,1,1)),flip(a)].

20578 (x \ (x / A)) * (A * (x \ (x / A))) = 0 / A. [para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].

20585 (x \ (x / A)) * (A * y) = y. [para(19951(a,1),71(a,2,1,2)),rewrite([20575(11),20578(15),12852(11),8(8),20574(11),7(8)])].

20598 x * (A * (y \ (y / A))) = x. [para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].

20606 x \ (x / A) = 0 / A. [back_rewrite(20578),rewrite([20598(9)])].

20659 x * (0 / A) = x / A. [para(20606(a,1),9(a,1,2))].

20662 (A \ (x / A)) * y = ((A \ x) / A) * y. [para(20606(a,1),33(a,1,1)),rewrite([20606(6),12498(7),12498(7),18738(5),20606(8),12498(11)]),f

lip(a)].

20675 A \ (x * (y * (x * (A \ z)))) = ((A \ (x * (y * x))) / A) * z. [para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606

(14),12498(15),20662(14)])].

20676 A \ (x * (C / A)) = C * (A \ (x / A)). [para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].

20720 A \ (x / A) = (A \ x) / A. [back_rewrite(18670),rewrite([20676(6),51(8)])].

20744 (x * (y * x)) / A = x * (y * (x / A)). [para(20659(a,1),13(a,1)),rewrite([20659(8)])].

20832 A \ (x * (y * (x / A))) = (A \ (x * (y * x))) / A. [para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14

)]),flip(a)].

21328 A * ((A \ x) / A) = x / A. [para(20720(a,1),9(a,1,2))].

21351 (A * x) * A = A * (x * A). [para(302(a,1),20720(a,1,2)),rewrite([10(8),10(14),20744(12),27(10),8(9)])].

21694 ((x \ y) / x) * (x * z) = x \ (y * z). [para(9(a,1),349(a,1,2,1)),flip(a)].

21699 x \ (C * (x * y)) = (y / x) * (x * C). [para(16(a,2),349(a,1,2))].

21703 (x / (C * C)) * (C * y) = (x * y) / C. [para(52(a,1),349(a,1,2,1)),rewrite([79(3),969(7)]),flip(a)].

21785 (C * x) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),349(a,1,2,1)),rewrite([13862(8),12498(10)]),flip(a)].

21786 (x / (y * C)) * y = (x / y) * (y / C). [para(12513(a,1),349(a,1,2)),rewrite([11593(4),12513(9)])].

21787 ((0 / x) / C) * (C * y) = ((x \ C) * y) / C. [para(12873(a,1),349(a,1,2,1)),rewrite([79(5)]),flip(a)].

21802 (C / x) * (x * (0 / (C * x))) = 0 / x. [para(12628(a,1),349(a,1,2)),rewrite([12620(2)]),flip(a)].

21814 C * (x \ (C * ((x / C) * y))) = (C / x) * (x * y). [para(13997(a,1),349(a,2,1)),rewrite([16(6,R),52(6),13861(4),12505(12)]),flip(a)].

21826 ((C / x) / (x * C)) * ((x * C) * y) = (x * C) \ (C * (C * y)). [para(16003(a,1),349(a,1,2,1)),rewrite([31(6)]),flip(a)].

21894 C * ((x / (C * y)) * y) = C * ((x / y) * (y / C)). [back_rewrite(2319),rewrite([21786(11)])].

21942 x \ (C * ((x / y) * (y / C))) = a(x / (C * y),y,C). [back_rewrite(2063),rewrite([21894(6)])].

22092 ((C * x) * x) / (C * ((x / C) * x)) = C. [para(220(a,1),350(a,1,2))].

22253 C * (x \ (C * ((C * y) / (x \ C)))) = (C * (x \ (C * y))) * x. [para(306(a,2),351(a,1,2)),rewrite([14010(4),14010(9),16(12,R),11601(13

),12505(10),14010(14),12505(15)])].

22690 (A \ (x * ((x \ (A * y)) * x))) / A = y * (x / A). [para(21328(a,1),39(a,2,2)),rewrite([13861(9),16162(8),12505(9),21351(11),13(16),21

328(14),21694(13),20832(9)])].

23565 (C * (x * y)) \ ((x * (y / x)) * (x * C)) = a(x,y / x,x * C). [para(360(a,1),101(a,1,2))].

24263 (C * x) * ((y / (C * C)) * x) = (x / C) * (y * x). [para(56(a,1),365(a,2)),rewrite([13407(7),16(14,R),52(14)])].

25402 (x * C) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),381(a,1,2,1)),rewrite([11(6),21785(4),13862(10),12498(14),21785(12),11(10)]),f

lip(a)].

27367 (x \ C) * ((x / (C * C)) * y) = ((0 / x) / C) * (x * y). [para(16261(a,1),421(a,1,2,2,2,2)),rewrite([12513(9),13786(10),13407(7),16(18

,R),52(18),12496(15),8(14)])].

28110 (C * x) * (((y * (z * (y / C))) / C) * x) = (x / C) * (y * (z * (y * x))). [para(425(a,1),348(a,2)),rewrite([79(9),13421(9),52(16)])].

28116 C / (x * (y * (z * (y * (C * x))))) = 0 / (x * (y * (z * (y * x)))). [para(425(a,1),13216(a,1,2))].

28704 (x / (y * (C * C))) * y = (x / y) * (y / (C * C)). [para(12558(a,1),349(a,1,2)),rewrite([11593(6),12558(13)])].

28744 C * (C * ((x / (C * (C * y))) * y)) = C * (C * ((x / y) * (y / (C * C)))). [back_rewrite(2371),rewrite([28704(18)])].

28746 x * ((x \ y) * x) = y / (0 / x). [para(9(a,1),12632(a,1,1)),flip(a)].

28749 (C * x) / (0 / x) = x * (C * x). [para(16(a,2),12632(a,1,1))].

28750 x / (C / x) = (x / C) * x. [para(52(a,1),12632(a,2,2)),rewrite([16(4,R),52(4),13215(4)])].

28775 (x / C) / (0 / x) = x * (x / C). [para(12513(a,1),12632(a,1,1)),rewrite([12498(9),79(7)])].

28776 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(12632(a,1),13215(a,1,2)),flip(a)].

28815 x / (A / y) = x * (y / A). [back_rewrite(22690),rewrite([28746(6),11593(7),12890(4),11(7)])].

28963 0 / ((x / C) * x) = (C / x) / x. [para(28750(a,1),13215(a,1,2))].

29063 x / (0 / y) = x * y. [para(11(a,1),28815(a,2,2)),rewrite([12862(4)])].

29065 x * (0 / y) = x / y. [para(29(a,1),28815(a,1,2)),rewrite([12503(5)]),flip(a)].

29171 (x / C) * x = x * (x / C). [back_rewrite(28775),rewrite([29063(5)])].

29186 (C * x) * x = x * (C * x). [back_rewrite(28749),rewrite([29063(5)])].

29188 x * ((x \ y) * x) = y * x. [back_rewrite(28746),rewrite([29063(6)])].

29241 C * (C * (x / (y \ C))) = (C * x) * y. [back_rewrite(13785),rewrite([29063(12)])].

29244 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(12868),rewrite([29063(3)])].

29248 (x * y) * x = x * (y * x). [back_rewrite(12632),rewrite([29063(4)])].

29249 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(12504),rewrite([29063(3)])].

29338 (C / x) / C = 0 / x. [back_rewrite(21802),rewrite([29065(7),12862(5),29065(6)])].

29403 x \ (y / x) = (x \ y) / x. [back_rewrite(18573),rewrite([29065(3)])].

29434 (x * y) / (x * x) = x * ((y / x) / x). [back_rewrite(15730),rewrite([29065(5),29065(7)])].

29496 x \ C = C / x. [back_rewrite(12873),rewrite([29065(4)]),flip(a)].

29499 (x / (y * y)) * a(x,0 / y,0 / y) = (x / y) / y. [back_rewrite(12760),rewrite([29065(4),29065(11),29065(12)])].

29500 ((x * x) / y) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(12756),rewrite([29065(4),29065(5),29065(6),13861(5)])].

29520 a(x,y,0 / y) = 0. [back_rewrite(12643),rewrite([29065(4),13837(3)]),flip(a)].

29524 (x * y) / x = x * (y / x). [back_rewrite(12633),rewrite([29065(4)])].

29649 (C / x) / x = C / (x * x). [back_rewrite(28963),rewrite([29171(4),16522(5)]),flip(a)].

29724 x * (C / x) = C. [back_rewrite(22092),rewrite([29186(3),29171(7),13414(8),29434(5),11(3)])].

29741 (0 / x) / C = 0 / (x * C). [back_rewrite(18511),rewrite([29171(4),13414(5),339(4),13406(3),13481(4)])].

29978 C * (x * (x * ((C / x) * y))) = (C * x) * (C * y). [back_rewrite(12083),rewrite([29186(4),13(10),13231(9)])].

30017 (C * x) * ((C * x) * y) = C * (x * (x * (C * y))). [back_rewrite(8619),rewrite([29186(4),498(6)]),flip(a)].

30374 x / (C * (C / x)) = x * (x / (C * C)). [back_rewrite(16275),rewrite([29496(3)])].

30413 x * (C * (C / x)) = C * C. [back_rewrite(12888),rewrite([29496(3)])].

30485 (C / x) / (x * C) = 0 / (x * x). [back_rewrite(16187),rewrite([30374(9),18285(8),29065(7),29338(9),29338(11),29065(10),12697(8)])].

30540 C * (C * (x / (C / y))) = (C * x) * y. [back_rewrite(29241),rewrite([29496(4)])].

30554 (C / x) * ((x / (C * C)) * y) = x \ ((x / C) * y). [back_rewrite(27367),rewrite([29496(2),29741(12),12498(14),25402(12)])].

30581 C * (x \ (C * ((C * y) / (C / x)))) = (C * (x \ (C * y))) * x. [back_rewrite(22253),rewrite([29496(6)])].

30586 (x * C) \ (C * y) = ((C / x) * y) / C. [back_rewrite(21787),rewrite([29741(4),12498(7),29496(7)])].

30626 x * (C / (x * x)) = C / x. [back_rewrite(19806),rewrite([29496(2),29649(3),29496(6)])].

30809 (x * y) * (x * C) = x * ((C * y) * x). [back_rewrite(19227),rewrite([29741(5),29063(6)])].

30843 (x * y) / (x * C) = x * ((y / x) / C). [back_rewrite(16705),rewrite([29741(5),29065(6)])].

30954 (x * C) * ((x * C) * y) = C * (x * (x * (C * y))). [back_rewrite(889),rewrite([30017(6)]),flip(a)].

31026 x \ ((C / x) * (x * y)) = ((C / x) * (C * y)) / C. [back_rewrite(21826),rewrite([30485(5),12498(7),339(5),349(4),30586(12)])].

31115 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y / x,x * C). [back_rewrite(23565),rewrite([30809(8)])].

31143 x * ((y / (C * (x * x))) * x) = x * ((y / x) / C). [back_rewrite(11615),rewrite([30843(10)])].

31237 (x * y) / (C / x) = x * ((y / C) * x). [para(29724(a,1),298(a,1,2,1,2)),flip(a)].

31259 (x * (C * x)) \ ((x * C) * y) = (C * x) \ (C * y). [para(29724(a,1),381(a,1,2,1)),rewrite([12862(9),28776(10),12498(14)]),flip(a)].

31279 a(x,0 / y,y) = 0. [para(29(a,1),29520(a,1,3)),rewrite([12620(2)])].

31280 a(x,y / z,z / y) = 0. [para(13215(a,1),29520(a,1,3))].

31293 (x * (y / z)) * (z / y) = x. [back_rewrite(13844),rewrite([31280(3),8(2)]),flip(a)].

31452 (x * (x / y)) * y = x * x. [para(31279(a,1),93(a,1,2)),rewrite([12(3),8(2),8(3),29065(4)]),flip(a)].

31516 (x * y) * (x * y) = x * (y * (x * y)). [para(29063(a,1),154(a,1,1,1)),rewrite([29248(2),29063(5),13(3),29063(6),29063(7)]),flip(a)].

31517 x * ((y / (x / z)) * x) = (x * y) * z. [para(29063(a,1),298(a,2)),rewrite([29065(3)])].

31519 (0 / x) / y = 0 / (y * x). [para(29063(a,1),13215(a,1,2)),flip(a)].

31520 x / (y / z) = x * (z / y). [para(13215(a,1),29063(a,1,2))].

31641 (x * y) * y = x * (y * y). [back_rewrite(18347),rewrite([31520(2),31452(3)]),flip(a)].

31689 x * ((y * (z / x)) * x) = (x * y) * z. [back_rewrite(31517),rewrite([31520(2)])].

31692 (x * y) * (x / C) = x * ((y / C) * x). [back_rewrite(31237),rewrite([31520(4)])].

31714 C * (x \ (C * (C * ((y / C) * x)))) = (C * (x \ (C * y))) * x. [back_rewrite(30581),rewrite([31520(7),365(7)])].

31718 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(30540),rewrite([31520(5)])].

31863 ((x * C) * (y * (C * C))) * (x / C) = C * ((C * x) * (y * x)). [back_rewrite(19032),rewrite([31520(10)])].

31865 (x * (y / z)) * ((z / y) * u) = (y / z) * (((z / y) * x) * u). [back_rewrite(16775),rewrite([31520(2)])].

31881 (x * y) / ((z / (x * u)) * x) = x * ((y * (u / (x * z))) * x). [back_rewrite(11787),rewrite([31520(8)])].

31994 a(x,y / x,x * C) = a(C,x,y). [back_rewrite(31115),rewrite([31689(8),1990(7)]),flip(a)].

32072 x \ (x / y) = 0 / y. [para(29065(a,1),10(a,1,2))].

32073 (x * (y * x)) / z = x * (y * (x / z)). [para(29065(a,1),13(a,1)),rewrite([29065(6)])].

32076 (x * x) / y = x * (x / y). [para(29065(a,1),31(a,1)),rewrite([29065(5)])].

32082 (x * (y * (z * (y * x)))) / u = x * (y * (z * (y * (x / u)))). [para(29065(a,1),37(a,1)),rewrite([29065(8)])].

32085 (C * (C / x)) * y = C * (x \ (C * y)). [para(29065(a,1),55(a,1,1,2)),rewrite([12498(11)])].

32088 (x * (y / z)) \ ((x * y) / z) = a(x,y,0 / z). [para(29065(a,1),64(a,1,1,2)),rewrite([29065(6)])].

32115 x \ (0 / y) = 0 / (y * x). [para(29065(a,1),12498(a,1)),rewrite([31519(3)]),flip(a)].

32137 (x * y) \ (x * z) = x \ ((x / y) * z). [para(29065(a,1),349(a,1,2,1)),rewrite([31519(6),12498(8)]),flip(a)].

32138 (x / (y * z)) * y = (x / y) * (y / z). [para(29065(a,1),349(a,1,2)),rewrite([11593(3),29065(7)])].

32145 (C * x) / (C * y) = C * ((x / C) / y). [para(29065(a,1),365(a,2,2)),rewrite([31519(6),29065(7)])].

32159 (x * y) * ((z / x) * (x / u)) = x * ((y / x) * ((x * z) / u)). [para(29065(a,1),385(a,1,2,2)),rewrite([29065(10)])].

32221 ((C * x) * y) \ (x * C) = 0 / y. [back_rewrite(18444),rewrite([32072(12)])].

32223 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(18441),rewrite([32072(7)]),flip(a)].

32226 (x * y) \ x = 0 / y. [back_rewrite(16163),rewrite([32072(4)])].

32276 (x * (x / y)) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(29500),rewrite([32076(2)])].

32468 (x * (C * x)) \ ((x * C) * y) = ((C / x) * y) / C. [back_rewrite(31259),rewrite([32137(12),79(12)])].

32572 (C * (C * x)) \ y = (x \ (y / C)) / C. [back_rewrite(10806),rewrite([32137(17),28116(11),12498(14),32137(12),13607(7),12498(11),32137(

9),12862(6),12498(6),10(4),79(3),79(5)]),flip(a)].

32573 (x * (y * x)) \ z = x \ (y \ (x \ z)). [back_rewrite(10748),rewrite([32137(11),13614(6),12498(10),32137(8),13607(4),12498(7),32137(5),

12862(2),12498(4),10(2)]),flip(a)].

32597 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [back_rewrite(4520),rewrite([32137(11),13216(6),12498(8),32137(6),79(7)])].

32636 (x * y) / ((z / x) * (x / u)) = x * ((y * (u / (x * z))) * x). [back_rewrite(31881),rewrite([32138(4)])].

32684 (x * (y / z)) * ((z / y) / u) = (y / z) * (((z / y) * x) / u). [back_rewrite(16814),rewrite([32138(5),31520(2)])].

32699 x \ ((x * y) / z) = (y / x) * (x / z). [back_rewrite(11593),rewrite([32138(6)])].

32712 x * a(x / (y * (C * z)),y,z * C) = ((x / y) * (y / (z * C))) * (z * C). [back_rewrite(2377),rewrite([32138(13)])].

32880 x \ (((C / x) * (x * y)) / C) = ((C / x) * y) / C. [back_rewrite(32468),rewrite([32573(7),349(5),79(6)])].

32917 a(x,0 / y,0 / y) = 0. [back_rewrite(32276),rewrite([32684(5),12(3),13837(3)]),flip(a)].

32973 (x / y) / y = x / (y * y). [back_rewrite(29499),rewrite([32917(7),8(4)]),flip(a)].

33011 0 / (x \ y) = y \ x. [para(29(a,1),32072(a,1,2)),flip(a)].

33012 (x / y) * (y * x) = x * x. [para(32072(a,1),345(a,1,2,2)),rewrite([32115(4),31520(5),28(4)])].

33013 (x \ y) \ x = y \ (x * x). [para(345(a,1),32072(a,1,2)),rewrite([33011(6)]),flip(a)].

33132 (x \ y) * (y \ x) = 0. [para(33011(a,1),12(a,1,1))].

33135 x * a(x,y \ z,z \ y) = (x * (y \ z)) * (z \ y). [para(33011(a,1),66(a,1,2,2)),rewrite([8(2),33011(7)])].

33139 (x \ y) \ z = (y \ x) * z. [para(33011(a,1),12498(a,1,1)),flip(a)].

33140 a(x \ y,(y \ x) * (y \ x),z) = 0. [para(33011(a,1),15975(a,1,1))].

33165 a(x,y \ z,z \ y) = 0. [para(33011(a,1),29520(a,1,3))].

33166 x / (y \ z) = x * (z \ y). [para(33011(a,1),29065(a,1,2)),flip(a)].

33168 x \ (y * y) = (x \ y) * y. [back_rewrite(33013),rewrite([33139(2)]),flip(a)].

33183 (x * (y \ z)) * (z \ y) = x. [back_rewrite(33135),rewrite([33165(3),8(2)]),flip(a)].

33329 x * ((x \ (y \ x)) * y) = (y \ x) * y. [para(33132(a,1),33(a,1,2,2)),rewrite([8(3),29249(6)]),flip(a)].

33334 (x \ (y * C)) * ((C * y) \ x) = 0. [para(245(a,2),33132(a,1,2))].

33344 x * ((x \ y) * (x * z)) = (y * x) * z. [para(33132(a,1),196(a,1,1,2)),rewrite([8(2),33132(4),8(3),33132(7),8(6),29249(8),33329(8),2918

8(7)])].

34692 (x * (y * (x / z))) / z = x * (y * (x / (z * z))). [para(32917(a,1),71(a,1,2)),rewrite([29065(5),32973(3),29065(4),8(6),29065(7),29065

(10)]),flip(a)].

34696 (C * x) * ((y * (z * (y / (C * C)))) * x) = (x / C) * (y * (z * (y * x))). [back_rewrite(28110),rewrite([34692(8)])].

34991 (x * C) * (C * (x * ((C / x) * y))) = C * ((x * C) * (C * y)). [para(89(a,2),474(a,2,1,2)),rewrite([29496(4),13216(4),29496(12),13216(

12),12498(11),348(10),30954(12),12498(13),21699(11),29524(8),30809(11),31689(11),29496(13),13216(13),31516(17),12498(19),21699(17),32073(14),

29724(13),31(15),55(16)])].

35208 (x * (y * (x * y))) * z = (x * y) * ((x * y) * z). [para(29188(a,1),432(a,1,1,2,2,2)),rewrite([33344(5),31516(3),33344(9),33344(10)])]

.

35212 (x / y) * x = x * (y \ x). [para(32072(a,1),29188(a,1,2,1)),rewrite([12498(3)]),flip(a)].

35340 (x * (x * (y * x))) * z = x * ((x * y) * (x * z)). [para(29248(a,1),13(a,1,1,2))].

35358 0 / a(x,y,x * z) = a(x * y,x,z). [para(29248(a,1),64(a,1,2,1)),rewrite([13(6),32223(7)])].

35398 x \ ((x / y) * (y * (x * z))) = (x / (x * y)) * ((x * y) * z). [para(29248(a,1),349(a,1,2,1)),rewrite([13(4),32137(5)])].

35448 x * ((x \ y) / x) = y / x. [para(29403(a,1),9(a,1,2))].

35464 (x \ (y \ x)) / x = 0 / (y * x). [para(12503(a,1),29403(a,1,2)),rewrite([32115(3)]),flip(a)].

35478 x \ (y / (x * x)) = (x \ y) / (x * x). [para(29403(a,1),29403(a,2,1)),rewrite([32973(2),32973(6)])].

35569 (x / y) / x = x / (x * y). [para(29065(a,1),29524(a,1,1)),rewrite([31519(5),29065(6)])].

35748 C * (x * (y * (x / (C * C)))) = x * (y * (x / C)). [para(30626(a,1),425(a,2,2,2,2,2)),rewrite([13608(6),13608(9),29065(8),12498(9),79(

7),34692(7),13608(13),27(14),8(13),12498(14),79(12),32073(12)])].

35762 a(x * (y / z),z / y,u) = a(y / z,(z / y) * x,u). [para(31293(a,1),64(a,1,2,1)),rewrite([31865(5),16789(7)]),flip(a)].

35859 (C * (C / x)) \ ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [para(31452(a,1),382(a,2,2)),rewrite([16(4,R),32085(9),306(20,R),16(19,

R),11601(20),31520(16),365(16)])].

36454 (x * (y / z)) \ u = ((z / y) / x) * u. [para(31520(a,1),13861(a,1,1))].

36488 x / (y * (z / u)) = x * ((u / z) / y). [para(31520(a,1),31520(a,1,2))].

36490 (x / (C * C)) * ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [back_rewrite(35859),rewrite([36454(11),32973(4)])].

36496 ((x / y) / z) * ((z * y) / x) = a(z,y,0 / x). [back_rewrite(32088),rewrite([36454(5)])].

36540 x * ((y * (z / (x * u))) * x) = x * ((y / x) * ((x * z) / u)). [back_rewrite(32636),rewrite([36488(5),31520(4),32159(5)]),flip(a)].

36747 (x * (y * (x * x))) * z = x * ((y * x) * (x * z)). [para(31641(a,1),13(a,1,1,2))].

36999 (x * y) / (z * x) = x * ((y / x) / z). [para(32115(a,1),348(a,1,2)),rewrite([29065(5),29065(7)])].

37089 C * (x / (C * (C * (C * C)))) = (x / C) / (C * C). [para(32973(a,1),743(a,1,2)),rewrite([306(8,R),16(7,R),1101(16)])].

37122 (x / (y * y)) / y = (x / y) / (y * y). [para(32973(a,1),32973(a,1,1))].

37156 a(x / y,y,x) = 0. [para(33012(a,1),64(a,1,1)),rewrite([12(3),26(3)]),flip(a)].

37234 a(x,y,x * y) = 0. [para(11(a,1),37156(a,1,1))].

37335 a(x,0 / y,x / y) = 0. [para(29065(a,1),37234(a,1,3))].

37490 (x / y) * (x / y) = x * ((y \ x) / y). [para(37335(a,1),18(a,1,2)),rewrite([12498(4),29403(2),8(5),29065(6)]),flip(a)].

38253 (x / y) * (y * (x \ y)) = y. [para(35212(a,1),10(a,1,2)),rewrite([13861(4)])].

38516 a(x / y,y,x \ y) = 0. [para(38253(a,1),64(a,1,1)),rewrite([12(2),9(2),26(1)]),flip(a)].

38555 a(C / x,x,x / C) = 0. [para(79(a,1),38516(a,1,3))].

38632 a(C / x,x,x / (C * C)) = 0. [para(32973(a,1),38555(a,1,3)),rewrite([31520(4),35762(11),16(6,R),52(6)])].

42338 (x * C) * (C * y) = C * (C * (x * y)). [para(620(a,2),349(a,1,2,1)),rewrite([35208(6),30017(6),21699(7),29524(4),30809(7),31689(7),295

24(10),32076(9),30413(10),31(10)])].

42481 C * ((C * x) * (C * y)) = C * (C * (C * (x * y))). [back_rewrite(34991),rewrite([42338(9),29978(8),42338(13)])].

42504 a(x,C,C * y) = a(x,y,C * C). [back_rewrite(2048),rewrite([42338(10),2043(11)]),flip(a)].

42507 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(892),rewrite([42338(10)])].

42508 (x * (y * (C * C))) * a(x,C,C * y) = C * (C * (x * y)). [back_rewrite(789),rewrite([42338(15)])].

42518 C * (C * (C * ((x / (C * y)) * z))) = (C * ((C * x) / y)) * z. [back_rewrite(11656),rewrite([42481(10)])].

43048 (x / C) * (y * (C * x)) = C * ((x / C) * (y * x)). [para(12(a,1),622(a,2,2,2,2)),rewrite([1486(9)]),flip(a)].

43590 (x * C) * (y * C) = C * (C * (x * y)). [para(16(a,2),626(a,1,2,3)),rewrite([42508(10)]),flip(a)].

43601 (x * C) * (y * (C * C)) = C * (C * (x * (y * C))). [para(31641(a,1),626(a,1,2,3)),rewrite([306(6,R),16(5,R),1498(14),16(13,R),42338(14

)])].

43619 (C * x) * (C * y) = C * (C * (x * y)). [back_rewrite(893),rewrite([43590(10)])].

43622 C * ((C * x) * (y * x)) = C * (x * ((y * C) * x)). [back_rewrite(31863),rewrite([43601(7),365(10),29524(8),52(8),29248(5)]),flip(a)].

43676 (C * x) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(19608),rewrite([43622(12)])].

43699 (C * x) * (y * (C * x)) = C * (x * ((y * C) * x)). [back_rewrite(18661),rewrite([43622(12)])].

43911 C * (C * (x * (y / (C * C)))) = C * ((x / C) * y). [para(630(a,2),379(a,1,2,1)),rewrite([16(7,R),35340(8),31(7),669(16),79(13),29403(1

4),79(12),32973(14),35478(15),79(11),35478(16),29403(12),79(10),32973(12),32973(16),306(15,R),16(14,R),55(17),37089(15),977(12),29524(6),52(6

),32973(6),16(16,R),16(23,R),35340(26),31(25),42518(25),32145(19),743(19),32973(15),743(16)])].

44004 C * (C * ((x / (C * (C * y))) * y)) = C * (((x / y) / C) * y). [back_rewrite(28744),rewrite([43911(20)])].

44569 (C * x) * (y * x) = x * ((y * C) * x). [para(656(a,2),349(a,2)),rewrite([306(9,R),16(8,R),52(8),43699(7),10(8),52(12),36(12)]),flip(a)

].

44590 (x / C) * (y * (z * (y * x))) = x * ((y * (z * (y / C))) * x). [back_rewrite(34696),rewrite([44569(10),16(8,R),35748(8)]),flip(a)].

44596 (x / C) * (y * x) = x * ((y / C) * x). [back_rewrite(24263),rewrite([44569(8),16(6,R),743(6)]),flip(a)].

44605 (x / C) * (y * (C * x)) = C * (x * ((y / C) * x)). [back_rewrite(43048),rewrite([44596(11)])].

44767 C * (C * ((x / C) * y)) = x * (C * y). [para(880(a,1),659(a,2,2,2)),rewrite([16(9,R),11597(14),32145(9),36540(11),13407(9),30554(10),9

(7)])].

44776 (C * (x \ (C * y))) * x = C * (x \ (y * (C * x))). [back_rewrite(31714),rewrite([44767(8)]),flip(a)].

44781 (x * (C * y)) / C = C * ((x / C) * y). [back_rewrite(36490),rewrite([44776(10),21703(11),9(5)])].

44823 x \ ((C / x) * (x * y)) = C * (x \ y). [back_rewrite(31026),rewrite([44781(12),35569(10),13216(10),12498(9)])].

44834 C * ((x / C) * (y * (x * (C * C)))) = x * (C * (y * (C * x))). [back_rewrite(19295),rewrite([44781(10)])].

45923 (C / x) * (x * (x / (C * C))) = x / C. [para(38632(a,1),18(a,1,2)),rewrite([8(10),12(11),743(14)])].

47608 (x / C) * (y * (x / C)) = x * ((y / C) * (x / C)). [para(9(a,1),798(a,1,1,2,2,2)),rewrite([79(2),44605(6),30843(10),32073(7),34692(9),

35748(10),79(8),79(10)]),flip(a)].

48783 x \ (C * (C * y)) = C * ((C / x) * y). [para(12892(a,1),381(a,2,1)),rewrite([33168(10),29496(8),16(10,R),31(11),55(12),43619(11),339(1

3),10(12),10(9),31(11),12498(12)]),flip(a)].

48819 x \ (y * (C * C)) = C * ((C / x) * y). [back_rewrite(10911),rewrite([48783(5)]),flip(a)].

48852 x \ (C * (y * C)) = C * ((C / x) * y). [back_rewrite(10907),rewrite([48819(10)])].

49052 (x / C) / (C * C) = x / (C * (C * C)). [para(13840(a,1),32076(a,2,2)),rewrite([37490(5),79(2),32973(4),30843(8),35569(5),13843(5),3712

2(7),31519(7),16(6,R),29065(8),29065(14)]),flip(a)].

49100 C * (x / (C * (C * (C * C)))) = x / (C * (C * C)). [back_rewrite(37089),rewrite([49052(16)])].

49557 a(C,x,y * x) = a(x,y,x * C). [para(11(a,1),31994(a,1,2)),flip(a)].

49558 a(x / C,y * (C / x),x) = a(C,x / C,y). [para(12(a,1),31994(a,1,3)),rewrite([31520(5)])].

49565 a(C * x,y,C * (C * x)) = a(C,C * x,y * (x * C)). [para(877(a,1),31994(a,1,2)),rewrite([16(6,R)])].

50382 (x * y) \ (y * z) = y \ ((x \ y) * z). [para(35464(a,1),349(a,2,1)),rewrite([9(3),12498(8)]),flip(a)].

50819 C * (x \ ((x / y) * (y / C))) = a(C,x,C * y). [para(886(a,1),102(a,1,2)),rewrite([16(5,R),43619(10),48783(11),13216(8),12498(8),32137(

6),32138(5)])].

50828 (x \ ((x / y) * (y * C))) / C = a(C * x,C,y). [para(886(a,1),32221(a,1,1)),rewrite([43619(5),16(10,R),32137(11),13216(6),12498(8),3213

7(6),79(7),35358(13)])].

51381 a(x,y / (C * C),C * C) = a(x,C,y / C). [para(743(a,1),42504(a,1,3)),flip(a)].

51470 ((x / C) / y) * (y * C) = C * (((x / y) / C) * y). [para(880(a,1),888(a,1,1)),rewrite([16(4,R),32712(10),12862(6),29065(5),16(10,R),16

(13,R),42507(16),44004(16)])].

51476 0 / a(C,x,y * C) = a(C * C,x,y). [para(888(a,1),32221(a,1,1)),rewrite([42507(5),16(10,R),32137(11),13216(6),12498(8),32137(6),79(7),32

597(7)]),flip(a)].

51553 (x / y) * (C * (y * y)) = (C * x) * y. [para(891(a,2),349(a,2)),rewrite([30809(4),10(5)]),flip(a)].

51944 (x * y) * (C * x) = x * ((C * y) * x). [para(897(a,2),36(a,1,2)),rewrite([51553(5)]),flip(a)].

52538 a(C,x / C,y * (x / C)) = a(x / C,y,x). [para(12(a,1),49557(a,2,3))].

52554 a(C,C * x,y * (x * C)) = a(C,x * C,y * (C * x)). [para(49557(a,1),2054(a,1)),rewrite([16(6,R),49565(7)])].

52574 a(C,x,x * (y \ x)) = a(x,x / y,x * C). [para(35212(a,1),49557(a,1,3))].

52605 (x / y) * (z * (C * C)) = C * ((C * (x / y)) * z). [para(916(a,1),13861(a,2)),rewrite([48852(6),31520(4)]),flip(a)].

52986 (x / y) * (C * (C * z)) = C * ((C * (x / y)) * z). [para(920(a,2),13861(a,2)),rewrite([48819(6),31520(4)]),flip(a)].

54292 (x * C) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(16(a,2),973(a,2,1)),rewrite([973(10),977(14)])].

54294 0 / a(x,C,y / (C * C)) = a(C,x / C,y / C). [para(973(a,1),32226(a,1,1)),rewrite([54292(7),2000(11)]),flip(a)].

54335 C * ((x / (C * (C * C))) * y) = (x / C) * (y / C). [para(977(a,1),363(a,1,1)),rewrite([29524(9),13407(8),49052(7),743(17)])].

54336 (x * y) / (C * C) = (x / C) * (y / C). [para(977(a,1),381(a,1,2,1)),rewrite([27(7),7(8),52(7),339(5),79(4),29403(5),79(3),32973(5),329

73(13),306(12,R),16(11,R),31(17),52986(18),49100(16),54335(14)])].

54764 a(C / x,x * (x / (C * C)),y) = 0. [para(79(a,1),33140(a,1,2,1)),rewrite([29496(2),79(6),37490(7),79(4),32973(6)])].

55893 (x * (y * (C * z))) / C = (C * x) * ((y / C) * z). [para(1224(a,1),382(a,2,2)),rewrite([31(7),31(15),52986(16),743(14),43619(13),48783

(14),13608(6),12498(11),349(9),36(10),31(14),55(15),21703(16)]),flip(a)].

56265 (x / (C * y)) * y = (x / y) * (y / C). [para(1236(a,1),10(a,1,2)),rewrite([32699(4)]),flip(a)].

56267 x * ((y / (C * x)) * (x * z)) = ((x * y) / C) * z. [para(1236(a,1),13(a,1,1)),flip(a)].

56270 (x / C) * (C * y) = C * (x * (y / C)). [para(625(a,1),1236(a,1,2,1,2)),rewrite([43699(11),16(8,R),36540(10),54336(8),13859(9),363(10)]

),flip(a)].

56275 x * (((y / x) / C) * x) = (x / C) * y. [para(1236(a,1),365(a,2,2)),rewrite([52(6),13407(8),44569(9),16(7,R),743(7),52(12)])].

56277 (x * (x * y)) / C = x * ((x / C) * y). [para(1236(a,1),428(a,2)),rewrite([56265(10),32076(9),1709(11),8(6),56265(6),32076(5),11597(7),

29524(2),31692(5),56275(5),31(6)]),flip(a)].

56342 C * ((x / C) * (y / C)) = (x * y) / C. [para(1236(a,1),902(a,2)),rewrite([56267(8),56270(6),36999(9),13407(7),54336(6),11(8)])].

56439 ((C * x) * y) / C = C * (x * (y / C)). [back_rewrite(363),rewrite([56270(10)])].

56448 (x * (x / (C * C))) * y = x * ((x / C) * (y / C)). [back_rewrite(13449),rewrite([56277(6)]),flip(a)].

56470 (C * x) * (y / (C * C)) = (x * y) / C. [back_rewrite(977),rewrite([56342(14)])].

57243 C / (x * (C * (C * (x * y)))) = 0 / (x * (x * (C * y))). [para(1255(a,1),13216(a,1,2))].

65392 (x \ ((C / y) * (y * x))) / C = a(C,x,y * (x * C)). [para(1498(a,1),102(a,1,2)),rewrite([16(6,R),43676(12),32137(13),13216(7),12498(10

),32137(8),12862(3),12498(7),349(5),79(7)])].

67104 (C / x) * (x * ((x / C) * y)) = C * (x * (y / C)). [para(54764(a,1),886(a,1,2)),rewrite([56448(10),11(8),8(9),45923(15),56270(12)])].

67105 (x / C) * (y * C) = C * (x * (y / C)). [para(54764(a,1),888(a,1,2)),rewrite([56448(10),29524(8),52(8),67104(7),8(7),45923(13)]),flip(a

)].

67153 a(C,x * C,y * (C * x)) = a(C,x,y * (x * C)). [para(115(a,1),1639(a,1,2)),rewrite([1500(8),43699(7),13(16),32137(17),13216(9),12498(14)

,32137(12),12862(5),12498(11),50382(9),29496(4),35398(9),13216(5),12498(7),29244(5),29496(3),79(7),65392(7)]),flip(a)].

67165 a(C,C * x,y * (x * C)) = a(C,x,y * (x * C)). [back_rewrite(52554),rewrite([67153(14)])].

67167 a(C * x,y,C * (C * x)) = a(C,x,y * (x * C)). [back_rewrite(49565),rewrite([67165(14)])].

68025 a(C,C * (x * (y * x)),z) = a(C,x * (y * x),z). [para(1698(a,1),49557(a,1,3)),rewrite([16(21,R),67167(22),16(18,R),1698(19)])].

69250 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(1871(a,1),349(a,1,2))].

69252 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(1871(a,1),381(a,1,2)),rewrite([11(7),32137(6),79(6),12862(10),1871(13),12498(

14),69250(12)])].

69324 C * ((C / x) * (x * (y / C))) = (C / x) * (x * y). [back_rewrite(21814),rewrite([69250(7)])].

69326 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(32880),rewrite([69252(6),44823(7)]),flip(a)].

69328 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(69252),rewrite([69326(6),32699(5)]),flip(a)].

69353 (C * (x / y)) * y = (C / y) * (y * x). [back_rewrite(69324),rewrite([69328(7),31718(8)])].

70055 a(x / (C * y),y,C) = a(x / C,y,x). [para(56(a,1),1977(a,1,1)),rewrite([79(2),79(4),16(6,R),52(6),44596(4),79(6),32137(9),12862(4),3152

0(4),7(4),69328(6),21942(7),79(8),79(10),52538(12)])].

70134 a(x,C,y / C) * a(C,x / C,y) = 0. [para(1977(a,1),33334(a,1,2)),rewrite([79(3),16(6,R),1999(7),79(7)])].

70330 (C * x) \ ((C / y) * (y * x)) = a(C,x / y,y). [para(16(a,1),1979(a,1,2,1)),rewrite([16(5,R),69353(6)])].

70331 (x * y) \ (C * (x * (y / C))) = a(x,y / C,C). [para(16(a,2),1979(a,1,2))].

70332 a(x / (C * y),y,C) = a(C,(x / C) / y,y). [para(52(a,1),1979(a,1,1)),rewrite([69353(6),69328(6),21942(7)])].

70356 a(x * C,y / C,C) = 0 / a(x,C,y). [para(1871(a,1),1979(a,1,2,1)),rewrite([16(10,R),44767(10),32223(7)]),flip(a)].

70360 a(x / C,y,x) = a(C,(x / C) / y,y). [back_rewrite(70055),rewrite([70332(5)]),flip(a)].

70582 a(C * C,x,y) = a(C * x,C,y). [para(358(a,1),1983(a,1,2,1)),rewrite([52986(8),52(6),55(10),32137(11),13216(6),12498(8),32137(6),79(7),3

2597(7),16(9,R),52(9)])].

70593 a(x * ((y / x) / C),x,C) = a(x,C,y / C). [para(1229(a,1),1983(a,1,1,2)),rewrite([56265(7),32076(6),11597(8),29524(3),31692(6),56275(6)

,16(6,R),1999(7),31143(10)]),flip(a)].

70848 a(C,x / (C * y),y * C) = a(C,x / y,y). [para(879(a,1),1990(a,1,1,2)),rewrite([16(7,R),42507(10),56265(8),31718(10),69353(6),70330(7)])

,flip(a)].

70863 a(C,x,C * (y * C)) = a(C,x,C * y). [para(916(a,1),1990(a,1,2)),rewrite([43601(14),48783(15),13216(10),12498(12),32137(10),56265(9),11(

8),32138(5),50819(7)]),flip(a)].

70923 ((x * y) \ ((C * x) * y)) / C = a(C * x,y,C). [para(76(a,1),1991(a,1,1)),rewrite([42338(5),32137(11),13216(6),12498(8),79(7)])].

70938 x \ (C * (((x / y) / C) * y)) = a(x * y,x,C). [para(29248(a,1),1991(a,1,2,2)),rewrite([51944(4),32573(9),21699(7),11(4),50382(6),79(2)

,67105(5),21699(6),51470(6)])].

70990 a(x,C,y / (C * C)) = a(x,y,0 / C). [para(743(a,1),1992(a,1,1,2)),rewrite([56470(10),36454(7),36496(7)]),flip(a)].

71024 a(C,x / C,y / C) = 0 / a(x,y,0 / C). [back_rewrite(54294),rewrite([70990(7)]),flip(a)].

71240 a(C * C,x,y * x) = a(C * x,C,y). [para(56(a,1),1998(a,1,1,2)),rewrite([55(12),32137(13),13607(7),12498(10),32137(8),12862(3),12498(7),

21699(5),79(7),50828(7)]),flip(a)].

71249 a(C * C,x,y / C) = 0 / a(C,x,y). [para(365(a,1),1998(a,1,2)),rewrite([31718(7),29524(8),52(8),32223(7)]),flip(a)].

71261 a(C * C,C * (x * C),y) = a(x,C,y). [para(619(a,1),1998(a,1,2,1)),rewrite([13(7),37(18),48783(19),13216(12),12498(16),32572(14),55893(1

1),27(9),7(8),1992(8),52(6)]),flip(a)].

71419 a(x / y,C,y / C) = a(x * y,x,C). [para(12(a,1),1999(a,1,1)),rewrite([70938(7)]),flip(a)].

71423 a(x,C,(y * x) / C) = a(x * y,x,C). [para(56(a,2),1999(a,1,2,2)),rewrite([16(4,R),52(4),47608(10),13419(11),32573(9),21699(7),11(4),671

05(5),21699(6),51470(6),70938(7),16(8,R),52(8)]),flip(a)].

71443 a(x,C,y / C) \ z = a(C,x / C,y) * z. [para(1999(a,1),33139(a,1,1)),rewrite([2000(12)])].

71447 x / a(y,C,z / C) = x * a(C,y / C,z). [para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].

71456 a(x,C,(C * y) * x) = a(C * x,C,y). [para(621(a,2),1999(a,1,1)),rewrite([44834(16),32572(13),32082(10),52(7),32137(7),12862(2),12498(6)

,21699(4),50828(7),55893(12),16(11,R),52(11)]),flip(a)].

71560 x \ (C * ((x / y) * (y / C))) = a(x / C,y,x). [para(56(a,1),2000(a,1,1)),rewrite([16(6,R),52(6),44596(4),32137(9),12862(4),31520(4),7(

4),69328(6),52538(14)])].

71567 a(C,x / C,(y * (C / x)) * x) = a(x,y,C). [para(358(a,1),2000(a,1,1,2)),rewrite([44767(7),31520(6),52(10),31689(8),16(6,R),1991(7),3152

0(8),52(12)]),flip(a)].

71574 a(C,x / C,C * y) = a(C * x,y,C). [para(619(a,1),2000(a,1,1)),rewrite([52605(8),52(6),32572(11),44781(8),67105(7),31718(8),70923(7),708

63(12)]),flip(a)].

71584 a(C * x,y * x,C) = a(x / C,y,x). [para(656(a,1),2000(a,1,1)),rewrite([306(9,R),16(8,R),52(8),44590(8),27(4),8(3),52(9),32137(9),12862(

4),12498(8),32137(6),79(6),69326(6),32699(5),71560(7),52(11),71574(10)]),flip(a)].

71730 a(C,C * (x * C),y) = a(C,x,y). [para(619(a,1),2001(a,1,2,1)),rewrite([16(7,R),35340(8),43619(7),37(18),48783(19),57243(12),12498(16),3

2572(14),55893(11),27(9),7(8),64(8),52(6),68025(10)]),flip(a)].

71739 a(C,C * x,C * y) = a(x,y / C,C). [para(2001(a,1),1374(a,1)),rewrite([43590(12),43619(20),48783(21),13216(16),12498(18),32572(16),56439

(13),70331(14),52(14)])].

71877 a(C * (C * (C * x)),y,z) = a(x,y,z). [para(55(a,1),2002(a,1,1,1)),rewrite([36747(8),42338(7),55(15),43619(14),55(16),43619(15),48783(1

7),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71878 a(C * (x * (C * C)),y,z) = a(x,y,z). [para(56(a,2),2002(a,1,2,1,1)),rewrite([16(6,R),36747(8),42338(7),35340(15),43619(14),55(16),4361

9(15),48783(17),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71884 a(C,x,C * y) = a(C,x,y). [para(1257(a,2),2002(a,1,2,1,1)),rewrite([16(13,R),450(15),450(29),55(30),43619(29),55(27),43619(26),48783(31

),57243(18),52986(28),29065(19),57243(17),52986(23),29065(18),57243(16),12498(18),32572(16),56439(13),32137(14),13216(9),12498(11),32137(9),7

9(10),32973(12),743(13),52(10),50819(7),71877(18),71878(12)])].

71949 a(C,C * x,y) = a(x,y / C,C). [back_rewrite(71739),rewrite([71884(6)])].

71950 a(C * x,y,C) = a(C,x / C,y). [back_rewrite(71574),rewrite([71884(6)]),flip(a)].

71965 a(C,x,y * C) = a(C,x,y). [back_rewrite(70863),rewrite([71884(6),71884(8)])].

72052 a(C,x / C,y * x) = a(x / C,y,x). [back_rewrite(71584),rewrite([71950(5)])].

72078 a(C,x / (C * y),y) = a(C,x / y,y). [back_rewrite(70848),rewrite([71965(7)])].

72083 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(51476),rewrite([71965(5)]),flip(a)].

72085 a(C,x / C,y) = a(x,y,C). [back_rewrite(71567),rewrite([72052(8),49558(6)])].

72100 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71261),rewrite([72083(8),71730(7)])].

72102 a(x,C,y / C) = a(x,C,y). [back_rewrite(71249),rewrite([72083(6),72100(6),72100(8)])].

72103 a(C * x,C,y) = a(x,C,y * x). [back_rewrite(71240),rewrite([72083(5),72100(5)]),flip(a)].

72107 a(C * x,C,y) = a(x,C,y). [back_rewrite(70582),rewrite([72083(4),72100(4)]),flip(a)].

72140 a(x / C,y,x) = a(x,y * x,C). [back_rewrite(72052),rewrite([72085(5)]),flip(a)].

72190 x / a(y,C,z) = x * a(y,z,C). [back_rewrite(71447),rewrite([72102(4),72085(7)])].

72194 a(x,C,y) \ z = a(x,y,C) * z. [back_rewrite(71443),rewrite([72102(4),72085(7)])].

72199 0 / a(x,y,0 / C) = a(x,y / C,C). [back_rewrite(71024),rewrite([72085(6)]),flip(a)].

72203 a(x,C,y) * a(x,y,C) = 0. [back_rewrite(70134),rewrite([72102(4),72085(6)])].

72217 a(x,(y * (C / x)) * x,C) = a(x,y,C). [back_rewrite(49558),rewrite([72140(6),72085(10)])].

72256 a(x * y,x,C) = a(x,C,y * x). [back_rewrite(71423),rewrite([72102(5)]),flip(a)].

72258 a(x / y,C,y) = a(x,C,y * x). [back_rewrite(71419),rewrite([72102(5),72256(6)])].

72259 a(x,C,((y / x) / C) * x) = a(x,C,y). [back_rewrite(70593),rewrite([72256(6),72102(10)])].

72264 a(x,y / (C * C),C * C) = a(x,C,y). [back_rewrite(51381),rewrite([72102(12)])].

72305 a(x,C,y * x) = a(x,C,y). [back_rewrite(72103),rewrite([72107(4)]),flip(a)].

72311 a(x,C,C * y) = a(x,C,y). [back_rewrite(71456),rewrite([72305(5),72107(8)])].

72399 a(C,(x / C) / y,y) = a(x,y * x,C). [back_rewrite(70360),rewrite([72140(3)]),flip(a)].

72407 a(x * C,y / C,C) = a(x,y,C). [back_rewrite(70356),rewrite([72190(10),7(10)])].

72453 a(x,C,y / x) = a(x,C,y). [back_rewrite(72259),rewrite([72305(6),72102(5)])].

72454 a(x / y,C,y) = a(x,C,y). [back_rewrite(72258),rewrite([72305(6)])].

72455 a(x * y,x,C) = a(x,C,y). [back_rewrite(72256),rewrite([72305(6)])].

72534 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72311(4)]),flip(a)].

72588 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72264),rewrite([72534(8),70990(6)])].

72613 a(x,y / C,C) = a(x,y,C). [back_rewrite(72199),rewrite([72588(5),72190(4),7(4)]),flip(a)].

72659 a(x * C,y,C) = a(x,y,C). [back_rewrite(72407),rewrite([72613(6)])].

72661 a(C,C * x,y) = a(x,y,C). [back_rewrite(71949),rewrite([72613(8)])].

72700 a(C,x,y) = a(x,y,C). [back_rewrite(71730),rewrite([72661(6),72659(4)]),flip(a)].

72789 a(C,x * y,x) = a(x,C,y). [back_rewrite(72455),rewrite([72700(3,R)])].

72827 a(C,(x / C) / y,y) = a(C,x / y,y). [back_rewrite(70332),rewrite([72700(5,R),72078(5)]),flip(a)].

72969 a(C,x / y,y) = a(x,y * x,C). [back_rewrite(72399),rewrite([72827(5)])].

72974 (C * (x * y)) * a(x,y,C) = (C * x) * y. [para(72700(a,1),18(a,1,2))].

72990 a(x,y * x,C) = a(x,y,x * C). [para(72700(a,1),49557(a,1))].

73056 a(C,x / y,y) = a(x,y,x * C). [back_rewrite(72969),rewrite([72990(6)])].

73058 a(x,y * (C / x),x * C) = a(x,y,C). [back_rewrite(72217),rewrite([72990(6)])].

73455 x / a(C,y,z) = x * a(y,C,z). [para(72100(a,1),29065(a,1,2)),flip(a)].

73469 0 / (x * a(C,y,z)) = a(y,C,z) / x. [para(72100(a,1),31519(a,1,1)),flip(a)].

73742 0 / (a(x,C,y) * a(x,C,y)) = a(x,y,C) * a(x,y,C). [para(72203(a,1),12863(a,1,2,2)),rewrite([8(6),72190(5)]),flip(a)].

74021 a(x,C,y) * a(x,y / x,C) = 0. [para(72453(a,1),72203(a,1,1))].

74047 a(x * (y \ z),C,z \ y) = a(x,C,z \ y). [para(33166(a,1),72454(a,1,1))].

74109 a(x * (C / y),C,y) = a(x,C,y). [para(72454(a,1),72102(a,1)),rewrite([72102(4),31520(5)]),flip(a)].

74199 a(x,C,x \ y) = a(C,y,x). [para(9(a,1),72789(a,1,2)),flip(a)].

74200 a(C,x,x / y) = a(x,C,y). [para(12(a,1),72789(a,1,2)),rewrite([72454(6)])].

74224 a(C,x,x * (y \ z)) = a(x,C,z \ y). [para(33183(a,1),72789(a,1,2)),rewrite([74047(9)])].

74228 a(C,x / y,y) = a(C,x,y). [para(35448(a,1),72789(a,1,2)),rewrite([72453(7),74199(6)])].

74274 a(x,x / y,x * C) = a(C,y,x). [back_rewrite(52574),rewrite([74224(4),74199(3)]),flip(a)].

74279 a(x,y,x * C) = a(C,x,y). [back_rewrite(73056),rewrite([74228(3)]),flip(a)].

74302 a(C,x,y) = a(y,C,x). [back_rewrite(74274),rewrite([74279(4),74200(3)]),flip(a)].

74306 a(C,x,y * (C / x)) = a(x,y,C). [back_rewrite(73058),rewrite([74279(6)])].

74414 a(x,C,y) = a(y,x,C). [back_rewrite(74109),rewrite([74302(5,R),74306(5)]),flip(a)].

74555 a(x,y / x,C) = a(y,C,x). [back_rewrite(72454),rewrite([74414(3)])].

74637 a(A,C,c3) * (a(A,C,c3) * a(A,C,c3)) != 0. [back_rewrite(20),rewrite([74302(4),74302(8),74302(12)])].

74701 a(x,C,y) * a(y,C,x) = 0. [back_rewrite(74021),rewrite([74555(5)])].

74855 a(C,x,y) * a(y,x,C) = 0. [para(74302(a,2),72203(a,1,1))].

76571 a(x,y,C) * a(y,C,x) = a(x,y,C) * a(x,y,C). [para(74701(a,1),13644(a,1,2)),rewrite([72194(5),28(7),73742(12)])].

76823 a(x,C,y) * a(x,C,y) = a(y,x,C) * a(x,C,y). [para(74855(a,1),12863(a,1,2,2)),rewrite([8(6),73455(5),73469(12),73455(10)]),flip(a)].

163954 a(x,y,C) * a(x,y,C) = a(x,C,y). [para(13631(a,1),33012(a,1,1)),rewrite([72974(11),12498(9),1992(7)]),flip(a)].

163960 a(x,y,C) * a(y,C,x) = a(x,C,y). [back_rewrite(76571),rewrite([163954(10)])].

163964 a(x,C,y) * a(x,C,y) = a(y,C,x). [back_rewrite(76823),rewrite([163960(10)])].

163972 $F. [back_rewrite(74637),rewrite([163964(13),74414(8),72203(9)]),xx(a)].

============================== end of proof ==========================

============================== PROOF =================================

% Proof 4 at 345.58 (+ 1.77) seconds.

% Length of proof is 692.

% Level of proof is 61.

% Maximum clause weight is 39.000.

% Given clauses 6302.

5 a(x,A,C) * (a(x,A,C) * a(x,A,C)) = 0 # label(non_clause) # label(goal). [goal].

7 0 * x = x. [assumption].

8 x * 0 = x. [assumption].

9 x * (x \ y) = y. [assumption].

10 x \ (x * y) = y. [assumption].

11 (x * y) / y = x. [assumption].

12 (x / y) * y = x. [assumption].

13 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

14 x * ((y * A) * x) = (x * y) * (A * x). [assumption].

15 (x * y) * (A * x) = x * ((y * A) * x). [copy(14),flip(a)].

16 C * x = x * C. [assumption].

17 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

18 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(17),flip(a)].

23 a(c6,A,C) * (a(c6,A,C) * a(c6,A,C)) != 0. [deny(5)].

26 x \ x = 0. [para(8(a,1),10(a,1,2))].

27 x / x = 0. [para(7(a,1),11(a,1,1))].

28 x / 0 = x. [para(8(a,1),11(a,1,1))].

29 x / (y \ x) = y. [para(9(a,1),11(a,1,1))].

30 (x / y) \ x = y. [para(12(a,1),10(a,1,2))].

31 (x * x) * y = x * (x * y). [para(7(a,1),13(a,1,1,2)),rewrite([7(5)])].

33 (x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z. [para(9(a,1),13(a,1,1,2)),flip(a)].

34 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(13(a,1),10(a,1,2))].

35 (x * (y * (x * z))) / z = x * (y * x). [para(13(a,1),11(a,1,1))].

36 x * ((y / x) * (x * z)) = (x * y) * z. [para(12(a,1),13(a,1,1,2)),flip(a)].

37 (x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))). [para(13(a,1),13(a,1,1,2)),rewrite([13(9)])].

39 x * (((x \ y) * A) * x) = y * (A * x). [para(9(a,1),15(a,1,1)),flip(a)].

42 (x * ((y * A) * x)) / (A * x) = x * y. [para(15(a,1),11(a,1,1))].

43 (x / y) * ((y * A) * (x / y)) = x * (A * (x / y)). [para(12(a,1),15(a,1,1)),flip(a)].

48 C \ (x * C) = x. [para(16(a,1),10(a,1,2))].

49 x \ (C * x) = C. [para(16(a,2),10(a,1,2))].

50 (x * C) / x = C. [para(16(a,1),11(a,1,1))].

51 (C * x) / C = x. [para(16(a,2),11(a,1,1))].

52 C * (x / C) = x. [para(16(a,2),12(a,1))].

53 (x * (x * C)) * y = x * (C * (x * y)). [para(16(a,1),13(a,1,1,2))].

54 C * (x * (C * y)) = C * (x * (y * C)). [para(16(a,1),13(a,2,2,2)),rewrite([13(5)])].

55 (C * (C * x)) * y = C * (x * (C * y)). [para(16(a,2),13(a,1,1,2))].

56 C * (x * (y * x)) = x * (y * (x * C)). [para(16(a,2),13(a,1))].

57 C * (x * (y * x)) = x * (y * (C * x)). [para(16(a,2),13(a,2,2,2)),rewrite([16(4,R)])].

59 (C * x) * (A * x) = x * ((A * C) * x). [para(16(a,2),15(a,1,1)),rewrite([16(8)])].

63 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(9(a,1),18(a,1,1,2))].

64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(18(a,1),10(a,1,2))].

66 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(12(a,1),18(a,1,1,2))].

67 x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z. [para(12(a,1),18(a,1,1))].

71 (x * (y * (x * (z * u)))) * a(x * (y * x),z,u) = (x * (y * (x * z))) * u. [para(13(a,1),18(a,1,1)),rewrite([13(11)])].

76 (C * x) * y = (x * C) * y. [para(16(a,1),18(a,2,1)),rewrite([18(6)])].

77 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(16(a,2),18(a,1,1,2)),rewrite([16(9,R)])].

79 C \ x = x / C. [para(12(a,1),48(a,1,2))].

82 x * (x * ((x * x) \ y)) = y. [para(31(a,1),9(a,1))].

84 (x * (x * y)) / y = x * x. [para(31(a,1),11(a,1,1))].

85 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(31(a,1),13(a,1,1,2)),rewrite([31(7)])].

89 C * (x * x) = x * (x * C). [para(31(a,1),16(a,2))].

90 C * (C * x) = C * (x * C). [para(16(a,1),31(a,2,2)),rewrite([31(4)])].

91 C * (x * x) = x * (C * x). [para(16(a,2),31(a,2,2)),rewrite([16(3,R)])].

93 (x * (x * (y * z))) * a(x * x,y,z) = (x * (x * y)) * z. [para(31(a,1),18(a,1,1)),rewrite([31(8)])].

96 (x / C) * (C * ((x / C) * y)) = ((x / C) * x) * y. [para(52(a,1),13(a,1,1,2)),flip(a)].

97 C * (C * ((x / C) * A)) = x * (A * C). [para(52(a,1),15(a,1,1)),rewrite([16(11,R)]),flip(a)].

98 (x * y) * a(x,C,y / C) = (x * C) * (y / C). [para(52(a,1),18(a,1,1,2))].

99 (x * C) * ((C * x) \ y) = y. [para(76(a,1),9(a,1))].

101 (C * x) \ ((x * C) * y) = y. [para(76(a,1),10(a,1,2))].

102 (x * C) \ ((C * x) * y) = y. [para(76(a,2),10(a,1,2))].

114 ((C * x) * y) * z = ((x * C) * y) * z. [para(76(a,1),18(a,2,1)),rewrite([18(8)])].

115 (x * ((C * y) * z)) * a(x,y * C,z) = (x * (y * C)) * z. [para(76(a,2),18(a,1,1,2))].

117 (C * (x * C)) / (C * x) = C. [para(76(a,1),50(a,1,1)),rewrite([16(4,R)])].

119 ((x * C) * (C * x)) * y = (C * x) * ((C * x) * y). [para(76(a,1),31(a,1,1))].

121 ((C * x) * (x * C)) * y = (x * C) * ((x * C) * y). [para(76(a,2),31(a,1,1))].

138 x * ((x * x) \ y) = x \ y. [para(82(a,1),10(a,1,2)),flip(a)].

140 x * a(y,y,(y * y) \ x) = x. [para(82(a,1),18(a,1,1)),rewrite([9(8)])].

153 (x * y) / (x \ y) = x * x. [para(9(a,1),84(a,1,1,2))].

154 ((x / y) * x) / y = (x / y) * (x / y). [para(12(a,1),84(a,1,1,2))].

156 ((x * y) * (x * ((y * A) * x))) / (A * x) = (x * y) * (x * y). [para(15(a,1),84(a,1,1,2))].

158 (C * (x * C)) / x = C * C. [para(16(a,1),84(a,1,1,2))].

159 (x * (C * x)) / C = x * x. [para(16(a,2),84(a,1,1,2))].

166 x \ (C * (x * x)) = x * C. [para(89(a,2),10(a,1,2))].

196 (x * ((x \ y) * z)) * ((x \ y) * ((x * ((x \ y) * z)) * u)) = ((x * ((x \ y) * z)) * (((x \ y) * y) * z)) * u. [para(33(a,1),13(a,1,1,2)

),flip(a)].

197 ((x * (y * x)) \ z) * (x * (y * (x * (((x * (y * x)) \ z) * u)))) = (((x * (y * x)) \ z) * z) * u. [para(13(a,1),33(a,1,2))].

199 (x \ y) * (x * (C * (x \ y))) = C * ((x \ y) * y). [para(16(a,2),33(a,1,2,2)),rewrite([16(10,R)])].

220 (x / C) * (C * x) = C * ((x / C) * x). [para(90(a,2),33(a,1,2)),rewrite([79(2),79(6),52(7),79(7),16(10,R)])].

245 (C * x) \ y = (x * C) \ y. [para(99(a,1),10(a,1,2)),flip(a)].

251 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(9(a,1),34(a,1,2,2,2))].

282 (C * x) \ (x * C) = 0. [para(8(a,1),101(a,1,2))].

287 (C * (x * x)) \ (x * (x * C)) = 0. [para(31(a,1),282(a,1,2))].

288 (C * (C * x)) \ (C * (x * C)) = 0. [para(76(a,1),282(a,1,2)),rewrite([16(8,R)])].

292 (x * C) \ (C * x) = 0. [para(8(a,1),102(a,1,2))].

296 (x * (y * z)) / (x \ z) = x * (y * x). [para(9(a,1),35(a,1,1,2,2))].

297 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(12(a,1),35(a,1,1,2,2))].

298 x * ((y / (x * z)) * x) = (x * y) / z. [para(12(a,1),35(a,1,1,2)),flip(a)].

300 (x * (y * (z * (y * (x * u))))) / u = x * (y * (z * (y * x))). [para(13(a,1),35(a,1,1,2)),rewrite([13(9)])].

301 ((x * y) * (z * (x * ((y * A) * x)))) / (A * x) = (x * y) * (z * (x * y)). [para(15(a,1),35(a,1,1,2,2))].

302 (A * (x * ((y * A) * x))) / x = A * ((x * y) * A). [para(15(a,1),35(a,1,1,2))].

306 C * (x * C) = x * (C * C). [para(35(a,1),51(a,1))].

311 ((x * C) * (y * ((C * x) * z))) / z = (C * x) * (y * (C * x)). [para(76(a,1),35(a,1,1))].

312 (C * x) * (y * (C * x)) = (x * C) * (y * (x * C)). [para(76(a,2),35(a,1,1,2,2)),rewrite([311(8)])].

339 (x * x) \ y = x \ (x \ y). [para(138(a,1),10(a,1,2)),flip(a)].

345 x / (y \ (y \ x)) = y * y. [para(138(a,1),84(a,1,1,2)),rewrite([9(2),339(2)])].

347 x * a(y,y,y \ (y \ x)) = x. [back_rewrite(140),rewrite([339(2)])].

348 (x * y) * (x \ z) = x * ((y / x) * z). [para(9(a,1),36(a,1,2,2)),flip(a)].

349 x \ ((x * y) * z) = (y / x) * (x * z). [para(36(a,1),10(a,1,2))].

350 ((x * y) * z) / ((y / x) * (x * z)) = x. [para(36(a,1),11(a,1,1))].

351 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) * y. [para(12(a,1),36(a,1,2,2))].

358 x * ((y / x) * (C * x)) = C * (x * y). [para(16(a,2),36(a,1,2,2)),rewrite([16(8,R)])].

360 ((x * y) * z) * a(x,y / x,x * z) = (x * (y / x)) * (x * z). [para(36(a,1),18(a,1,1))].

363 ((C * x) * y) / C = (x / C) * (C * y). [para(36(a,1),51(a,1,1))].

365 (C * x) * (y / C) = C * ((x / C) * y). [para(52(a,1),36(a,1,2,2)),flip(a)].

379 ((x * C) * y) * ((C * x) \ z) = (x * C) * ((y / (x * C)) * z). [para(99(a,1),36(a,1,2,2)),flip(a)].

381 (C * x) \ (((x * C) * y) * z) = (y / (x * C)) * ((x * C) * z). [para(36(a,1),101(a,1,2))].

382 (x * C) \ (((C * x) * y) * z) = (y / (C * x)) * ((C * x) * z). [para(36(a,1),102(a,1,2))].

385 (x * y) * ((z / x) * (x * u)) = x * ((y / x) * ((x * z) * u)). [para(36(a,1),36(a,1,2,2)),flip(a)].

386 x / (x \ 0) = x * x. [para(8(a,1),153(a,1,1))].

391 (x * C) / (x / C) = C * C. [para(16(a,1),153(a,1,1)),rewrite([79(4)])].

392 (C * x) / (x \ C) = x * x. [para(16(a,2),153(a,1,1))].

405 (0 / x) * (0 / x) = (0 / x) / x. [para(30(a,1),386(a,1,2)),flip(a)].

409 (x * (C * (x * C))) * y = x * (C * (C * (x * y))). [para(158(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

421 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (x * C)))). [para(37(a,1),16(a,2))].

425 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (C * x)))). [para(16(a,2),37(a,2,2,2,2,2)),rewrite([16(6,R)])].

428 x * (y * (z * (y * (x * a(x,y,z * (y * x)))))) = (x * y) * (z * (y * x)). [para(37(a,1),18(a,1))].

432 (x * (y * (z * (z * (y * x))))) * u = x * (y * (z * (z * (y * (x * u))))). [para(31(a,1),37(a,1,1,2,2)),rewrite([31(10)])].

450 (x * (x * (C * (y * (x * (x * C)))))) * z = x * (x * (C * (y * (C * (x * (x * z)))))). [para(89(a,1),37(a,1,1,2,2,2)),rewrite([31(8),31(

14),31(18)])].

474 ((C * x) \ y) * ((x * C) * (z * ((x * C) * (((C * x) \ y) * u)))) = (((C * x) \ y) * ((x * C) * (z * y))) * u. [para(99(a,1),37(a,1,1,2,

2,2)),flip(a)].

498 (C * (x * (C * x))) * y = C * (x * (x * (C * y))). [para(159(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

612 (x * (C * C)) / C = x * C. [para(306(a,1),10(a,1,2)),rewrite([79(6)])].

613 x \ (C * (x * C)) = C * C. [para(306(a,2),10(a,1,2))].

615 (C * (x * C)) / (C * C) = x. [para(306(a,2),11(a,1,1))].

618 (x * (C * C)) * y = C * (x * (C * y)). [para(306(a,1),13(a,1,1))].

619 C * (x * (C * (y * C))) = C * (x * (y * (C * C))). [para(306(a,1),13(a,2,2,2)),rewrite([13(7)])].

620 C * (x * (C * x)) = x * (x * (C * C)). [para(306(a,1),13(a,2,2)),rewrite([16(5,R)])].

621 C * (C * (x * (y * x))) = x * (y * (x * (C * C))). [para(306(a,2),13(a,1)),rewrite([16(5,R)])].

622 C * (C * (x * (y * x))) = x * (y * (C * (x * C))). [para(306(a,2),13(a,2,2,2)),rewrite([306(6,R),16(5,R)])].

625 C * (C * x) = x * (C * C). [para(16(a,2),306(a,1,2))].

626 (x * (y * (C * C))) * a(x,C,y * C) = (x * C) * (y * C). [para(306(a,1),18(a,1,1,2))].

630 C * (C * (x * x)) = x * (x * (C * C)). [para(306(a,2),31(a,1)),rewrite([16(4,R)])].

645 (x * (C * C)) / (C * x) = C. [para(306(a,1),117(a,1,1))].

649 (x * (C * C)) / x = C * C. [para(306(a,1),153(a,1,1)),rewrite([79(8),11(8)])].

656 C * (x * (C * (y * (C * x)))) = x * (C * (y * (x * (C * C)))). [para(306(a,1),37(a,2,2,2,2)),rewrite([16(8,R)])].

659 C * (C * (x * (y * (z * (y * x))))) = x * (y * (z * (y * (C * (x * C))))). [para(306(a,2),37(a,2,2,2,2,2)),rewrite([306(8,R),16(7,R)])].

669 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [para(31(a,1),339(a,1,1)),rewrite([339(7),339(8)])].

722 (x * (y * x)) / (A * x) = x * (y / A). [para(12(a,1),42(a,1,1,2,1))].

725 (C * (C * (x * A))) / (A * C) = C * x. [para(16(a,1),42(a,1,1)),rewrite([16(4,R),16(6,R)])].

728 x * (C * y) = x * (y * C). [para(76(a,1),42(a,1,1,2,1)),rewrite([722(9),11(6)]),flip(a)].

743 C * (x / (C * C)) = x / C. [para(12(a,1),612(a,1,1)),rewrite([16(8,R)]),flip(a)].

747 (x / C) \ (C * x) = C * C. [para(12(a,1),613(a,1,2,2))].

782 (C * x) / (C * C) = x / C. [para(12(a,1),615(a,1,1,2))].

789 (x * (y * (C * C))) * a(x,C,C * y) = (x * C) * (C * y). [para(625(a,1),18(a,1,1,2))].

794 (C * x) * (x * (C * C)) = C * ((C * x) * (C * x)). [para(625(a,1),91(a,2,2)),flip(a)].

798 (x * (y * (C * (C * x)))) / (C * C) = x * (y * x). [para(625(a,2),35(a,1,1,2,2))].

877 (x * (y * C)) / (C * y) = x. [para(728(a,1),11(a,1,1))].

879 (x / (C * y)) * (y * C) = x. [para(728(a,1),12(a,1))].

880 (x / (y * C)) * (C * y) = x. [para(728(a,2),12(a,1))].

886 (x * (y * (z * C))) * a(x,y,C * z) = (x * y) * (C * z). [para(728(a,1),18(a,1,1,2))].

888 (x * (y * (C * z))) * a(x,y,z * C) = (x * y) * (z * C). [para(728(a,2),18(a,1,1,2))].

889 (C * x) * ((C * x) * y) = (x * C) * ((x * C) * y). [para(728(a,1),31(a,1,1)),rewrite([121(6)]),flip(a)].

891 x * (C * (y * y)) = x * (y * (y * C)). [para(31(a,1),728(a,2,2))].

892 (C * x) * (y * C) = (x * C) * (C * y). [para(728(a,1),76(a,1))].

893 (C * x) * (C * y) = (x * C) * (y * C). [para(728(a,1),76(a,2))].

897 x * (C * (y * y)) = x * (y * (C * y)). [para(91(a,1),728(a,1,2)),rewrite([16(7,R)]),flip(a)].

902 (x * (y * (x * (C * z)))) / (z * C) = x * (y * x). [para(728(a,2),35(a,1,1,2,2))].

916 x * (C * (y * C)) = x * (y * (C * C)). [para(306(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

920 x * (C * (C * y)) = x * (y * (C * C)). [para(625(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

969 (x / C) / C = x / (C * C). [para(743(a,1),10(a,1,2)),rewrite([79(4)])].

973 (x * (y / C)) * a(x,C,y / (C * C)) = (x * C) * (y / (C * C)). [para(743(a,1),18(a,1,1,2))].

974 (x / (C * C)) \ (x / C) = C. [para(743(a,1),49(a,1,2))].

977 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(743(a,1),36(a,1,2,2)),flip(a)].

987 (0 / C) \ C = C * C. [para(8(a,1),747(a,1,2))].

1096 (x * C) / (C * C) = x / C. [para(16(a,1),782(a,1,1))].

1101 (x / (C * C)) / C = (x / C) / (C * C). [para(743(a,1),782(a,1,1)),flip(a)].

1224 (x * C) * ((y / (C * x)) * ((x * C) * z)) = ((x * C) * y) * z. [para(879(a,1),13(a,1,1,2)),flip(a)].

1228 x * a(x / (C * y),y,C) = C * ((x / (C * y)) * y). [para(879(a,1),18(a,1,1)),rewrite([16(12,R)])].

1229 (x / (C * (y * y))) * (y * (y * C)) = x. [para(31(a,1),879(a,1,2))].

1236 x * ((y / (C * x)) * x) = (x * y) / C. [para(879(a,1),35(a,1,1,2)),flip(a)].

1255 C * (x * (x * (C * y))) = x * (C * (C * (x * y))). [para(53(a,1),76(a,2,1)),rewrite([85(6),409(12)])].

1257 C * (x * (C * (x * (x * (x * C))))) = x * (C * (x * (x * (C * (x * C))))). [para(53(a,1),89(a,2,2)),rewrite([53(8),53(18)])].

1268 (x * (C * (x * C))) \ (C * (x * (x * C))) = 0. [para(53(a,1),292(a,1,1))].

1374 (C * (x * (C * y))) \ z = (C * (x * (y * C))) \ z. [para(54(a,1),245(a,1,1)),rewrite([16(11,R)]),flip(a)].

1486 C * ((x / C) * (y * (x / C))) = (x / C) * (y * x). [para(12(a,1),56(a,2,2,2))].

1498 (x * (C * (y * (z * y)))) * a(x,y,z * (y * C)) = (x * y) * (z * (y * C)). [para(56(a,2),18(a,1,1,2))].

1500 (x * y) * (z * (C * (x * y))) = C * ((x * y) * (z * (x * y))). [para(56(a,2),18(a,2)),rewrite([16(3,R),16(9,R),18(12)])].

1585 a(x,x,x \ (x \ y)) = 0. [para(347(a,1),10(a,1,2)),rewrite([26(1)]),flip(a)].

1607 a(x,x,x \ y) = 0. [para(10(a,1),1585(a,1,3,2))].

1639 (x * (y * (C * x))) \ ((C * (x * (y * x))) * z) = z. [para(57(a,1),101(a,1,1)),rewrite([16(8,R)])].

1698 (x / (y * (z * (C * y)))) * (C * (y * (z * y))) = x. [para(57(a,1),879(a,1,1,2)),rewrite([16(9,R)])].

1709 a(x,x,y) = 0. [para(10(a,1),1607(a,1,3))].

1727 (C * (C * (x * (C * (C * (C * x)))))) \ (C * (x * (C * (C * (C * (C * x)))))) = 0. [para(55(a,1),287(a,1,2)),rewrite([55(10),16(19,R)])

].

1734 (C * (C * (x * (x * C)))) \ (C * (x * (C * (x * C)))) = 0. [para(53(a,1),288(a,1,2,2))].

1820 (0 / x) \ ((0 / x) / x) = 0 / x. [para(405(a,1),10(a,1,2))].

1824 (x * ((0 / y) / y)) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [para(405(a,1),18(a,1,1,2))].

1869 (C * x) * (x \ y) = x * ((C / x) * y). [para(16(a,1),63(a,2,1)),rewrite([63(6),348(8)])].

1871 (x * C) * (y / C) = C * ((x / C) * y). [para(16(a,2),63(a,2,1)),rewrite([79(4),98(6),79(9),365(10)])].

1907 (C * x) * ((C / (C * x)) * y) = C * (x * (C * ((C * x) \ y))). [para(625(a,1),63(a,2,1)),rewrite([63(10),1869(8),618(16)])].

1977 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(9(a,1),64(a,1,2,1))].

1979 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(12(a,1),64(a,1,1,2))].

1983 (x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u). [para(13(a,1),64(a,1,1)),rewrite([13(7)])].

1990 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(16(a,1),64(a,1,2,1))].

1991 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(16(a,2),64(a,1,1,2)),rewrite([16(6,R)])].

1992 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(16(a,2),64(a,1,2,1))].

1998 (x * (x * (y * z))) \ ((x * (x * y)) * z) = a(x * x,y,z). [para(31(a,1),64(a,1,1)),rewrite([31(5)])].

1999 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(52(a,1),64(a,1,1,2)),rewrite([1871(6)])].

2000 (C * ((x / C) * y)) \ (x * y) = a(C,x / C,y). [para(52(a,1),64(a,1,2,1))].

2001 (x * ((y * C) * z)) \ ((x * (C * y)) * z) = a(x,C * y,z). [para(76(a,1),64(a,1,1,2))].

2002 ((x * C) * (y * z)) \ (((C * x) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,1))].

2004 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(76(a,2),64(a,1,1,2))].

2042 a(x,C * C,y) = a(x,C * y,C). [para(306(a,2),64(a,1,2,1)),rewrite([31(4),13(10),1991(11)]),flip(a)].

2043 (x * (y * (C * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(306(a,2),64(a,1,2)),rewrite([16(9,R)])].

2048 (x * (y * (C * C))) \ ((x * C) * (C * y)) = a(x,C,C * y). [para(625(a,1),64(a,1,1,2))].

2054 a(x,C * y,z) = a(x,y * C,z). [para(728(a,1),64(a,1,2,1)),rewrite([2004(9)]),flip(a)].

2063 x \ (C * ((x / (C * y)) * y)) = a(x / (C * y),y,C). [para(879(a,1),64(a,1,1)),rewrite([16(6,R)])].

2097 (x * ((0 / y) / y)) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [para(405(a,1),64(a,1,1,2))].

2101 a(x,x * C,C) = 0. [back_rewrite(1268),rewrite([1991(11)])].

2103 a(x / C,x,C) = 0. [para(12(a,1),2101(a,1,2))].

2319 C * ((x / (C * y)) * y) = C * ((x / (y * C)) * y). [para(16(a,2),67(a,1,2,1,2)),rewrite([1228(6),16(12,R)])].

2371 C * (C * ((x / (C * (C * y))) * y)) = C * (C * ((x / (y * (C * C))) * y)). [para(625(a,2),67(a,2,1,1,2)),rewrite([67(10),306(10,R),16(9

,R),306(20,R),16(19,R)]),flip(a)].

2377 x * a(x / (y * (C * z)),y,z * C) = ((x / (y * (z * C))) * y) * (z * C). [para(728(a,2),67(a,1,2,1,2))].

2604 (0 / C) \ (0 / (C * C)) = 0 / C. [para(969(a,1),1820(a,1,2))].

3002 a(x,C * C,x) = 0. [para(2042(a,2),2103(a,1)),rewrite([51(4)])].

3032 (x / (C * C)) * x = x * (x / (C * C)). [para(3002(a,1),63(a,1,2)),rewrite([339(4),79(3),79(4),969(4),8(7),339(9),79(8),79(9),969(9),306

(13,R),16(12,R),743(12),52(9),339(9),79(8),79(9),969(9)])].

4520 (C * (C * (x * y))) \ (C * (x * (C * y))) = a(C * C,x,y). [para(93(a,1),102(a,1,2)),rewrite([16(5,R),55(10)])].

4620 a(C * C,x,x * C) = 0. [back_rewrite(1734),rewrite([4520(15)])].

4621 a(C * C,x,C * (C * (C * x))) = 0. [back_rewrite(1727),rewrite([4520(23)])].

4625 a(C * C,x / C,x) = 0. [para(12(a,1),4620(a,1,3))].

4639 C * (C * ((x / C) * x)) = (C * x) * x. [para(4625(a,1),18(a,1,2)),rewrite([31(7),8(9),31(13),52(12)])].

4847 (x / C) * (C * (C * x)) = (C * x) * x. [para(306(a,2),96(a,1,2,2)),rewrite([16(8,R),52(8),306(14,R),16(13,R),4639(14)])].

5354 a(C * C,x / C,C * (C * x)) = 0. [para(9(a,1),4621(a,1,3,2,2)),rewrite([79(5)])].

5744 C * ((C * x) * (C * x)) = C * (C * ((C * x) * x)). [para(5354(a,1),18(a,1,2)),rewrite([4847(10),31(7),8(9),31(13),52(12),91(14,R)]),fli

p(a)].

5792 (C * x) * (x * (C * C)) = C * (C * ((C * x) * x)). [back_rewrite(794),rewrite([5744(14)])].

6372 ((x * C) * y) / C = (x / C) * (C * y). [para(114(a,1),1096(a,1,1)),rewrite([16(5,R),782(9),363(10)])].

8072 (C * x) * (C * (C * (x * A))) = C * (C * (((C * x) * x) * A)). [para(119(a,1),97(a,2)),rewrite([6372(9),4847(9),15(17),16(16,R)]),flip(

a)].

8405 (x * C) * (C * x) = C * ((C * x) * x). [para(16(a,1),156(a,2,1)),rewrite([16(7,R),8072(9),725(13)]),flip(a)].

8619 (C * ((C * x) * x)) * y = (C * x) * ((C * x) * y). [back_rewrite(119),rewrite([8405(5)])].

10744 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(9(a,1),251(a,1,2,2))].

10748 (x * (y * (x * (z * (x * (y * x)))))) \ (x * (y * (x * (z * u)))) = (x * (y * x)) \ u. [para(13(a,1),251(a,1,1)),rewrite([13(10)])].

10770 x \ (C * y) = x \ (y * C). [para(91(a,2),251(a,1,2,2)),rewrite([10744(7),166(4)]),flip(a)].

10806 (C * (x * (C * (y * (C * (C * x)))))) \ (C * (x * (C * (y * z)))) = (C * (C * x)) \ z. [para(55(a,1),251(a,1,1)),rewrite([55(16)])].

10907 x \ (C * (y * C)) = x \ (y * (C * C)). [para(306(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

10911 x \ (C * (C * y)) = x \ (y * (C * C)). [para(625(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

11483 (x * y) / (x \ z) = x * ((y / z) * x). [para(12(a,1),296(a,1,1,2))].

11512 ((0 / C) * (x * (0 / (C * C)))) / (0 / C) = (0 / C) * (x * (0 / C)). [para(2604(a,1),296(a,1,2))].

11593 x \ ((x * y) / z) = (y / (x * z)) * x. [para(298(a,1),10(a,1,2))].

11597 x * ((y / (x * z)) * (x * u)) = ((x * y) / z) * u. [para(298(a,1),13(a,1,1)),flip(a)].

11601 C * (C * (x / (C * y))) = (C * x) / y. [para(298(a,1),16(a,1)),rewrite([16(8,R),16(10,R)]),flip(a)].

11615 x * ((y / (C * (x * x))) * x) = (x * y) / (x * C). [para(89(a,2),298(a,1,2,1,2))].

11656 C * ((C * (x / (C * y))) * (C * z)) = (C * ((C * x) / y)) * z. [para(298(a,1),55(a,1,1,2)),rewrite([16(12,R)]),flip(a)].

11787 (x * y) / ((z / (x * u)) * x) = x * ((y / ((x * z) / u)) * x). [para(298(a,1),298(a,1,2,1,2)),flip(a)].

12050 x * ((0 / x) * y) = y. [para(8(a,1),348(a,1,1)),rewrite([9(2)]),flip(a)].

12083 C * (((C * x) * x) * (C * ((C * x) \ y))) = (C * x) * (C * y). [para(645(a,1),348(a,2,2,1)),rewrite([5792(7),55(11)])].

12086 (0 / C) * (C * (x / (0 / C))) = C * x. [para(987(a,1),348(a,1,2)),rewrite([306(8,R),16(7,R),12050(7),16(11,R)]),flip(a)].

12105 x * ((0 / x) / x) = 0 / x. [para(405(a,1),348(a,2,2)),rewrite([8(2),9(4)]),flip(a)].

12496 x * (0 / x) = 0. [para(8(a,1),12050(a,1,2))].

12497 (0 / x) \ y = x * y. [para(9(a,1),12050(a,1,2)),flip(a)].

12498 (0 / x) * y = x \ y. [para(12050(a,1),10(a,1,2)),flip(a)].

12503 (x \ y) / y = 0 / x. [para(12050(a,1),35(a,1,1,2)),rewrite([12498(3),12496(7),8(6)])].

12504 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(36(a,1),12050(a,1,2)),rewrite([12498(3),12498(9)]),flip(a)].

12505 (x * (y \ x)) * z = x * (y \ (x * z)). [para(12050(a,1),37(a,1,1,2,2)),rewrite([12498(3),12498(9),9(8),12498(7)])].

12513 x * (0 / C) = x / C. [para(12050(a,1),56(a,1)),rewrite([16(12,R),12496(12),8(9),12498(8),79(6)])].

12515 a(x,0 / x,y) = 0. [para(12050(a,1),64(a,1,1)),rewrite([12496(3),7(2),26(1)]),flip(a)].

12555 x / (0 / C) = C * x. [back_rewrite(12086),rewrite([12498(10),10(8)])].

12558 x * (0 / (C * C)) = x / (C * C). [back_rewrite(11512),rewrite([12498(10),79(8),12555(12),52(10),12513(13),12498(12),79(10),969(10)])].

12584 x \ (0 / x) = (0 / x) / x. [back_rewrite(405),rewrite([12498(5)])].

12620 x \ 0 = 0 / x. [para(12496(a,1),10(a,1,2))].

12628 (x * C) * (0 / (C * x)) = 0. [para(12496(a,1),76(a,1)),flip(a)].

12632 (x * y) / (0 / x) = x * (y * x). [para(12496(a,1),35(a,1,1,2,2)),rewrite([8(2)])].

12633 (x * y) * (0 / x) = x * (y / x). [para(12496(a,1),36(a,1,2,2)),rewrite([8(3)]),flip(a)].

12641 C * (0 / A) = C / A. [para(12496(a,1),59(a,1,2)),rewrite([8(7),12633(15),12498(14),10(12)])].

12643 (x / y) * (y * (0 / x)) = a(y,x,0 / x). [para(12496(a,1),64(a,1,1,2)),rewrite([8(2),349(5)])].

12697 (0 / x) / x = 0 / (x * x). [para(12620(a,1),339(a,1)),rewrite([12620(5),12584(6)]),flip(a)].

12715 x \ (0 / x) = 0 / (x * x). [back_rewrite(12584),rewrite([12697(6)])].

12732 x * (0 / (x * x)) = 0 / x. [back_rewrite(12105),rewrite([12697(3)])].

12756 (x * (0 / (y * y))) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [back_rewrite(2097),rewrite([12697(3)])].

12760 (x * (0 / (y * y))) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [back_rewrite(1824),rewrite([12697(3)])].

12852 a(0 / x,x,y) = 0. [para(29(a,1),12515(a,1,2)),rewrite([12620(2)])].

12862 x / (y * x) = 0 / y. [para(12497(a,1),29(a,1,2))].

12863 x / (y * (y * x)) = 0 / (y * y). [para(12497(a,1),345(a,1,2,2)),rewrite([12497(4),12498(8),12715(6)])].

12868 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(12497(a,1),348(a,1,2)),rewrite([12498(3),12498(10)]),flip(a)].

12871 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(12498(a,1),13(a,1,1)),rewrite([12498(10),12498(10)])].

12873 C * (0 / x) = x \ C. [para(12498(a,1),16(a,2))].

12884 x \ (C * C) = C * (x \ C). [para(12498(a,1),306(a,2)),rewrite([16(5,R),12873(5)]),flip(a)].

12888 x * (C * (x \ C)) = C * C. [para(12498(a,1),613(a,1,2,2)),rewrite([12497(7)])].

12890 A * (0 / x) = A / x. [para(12498(a,1),43(a,1)),rewrite([12633(5),10(4),7(8)]),flip(a)].

12892 (x \ (y * C)) / (C * y) = 0 / x. [para(12498(a,1),877(a,1,1))].

12979 x * ((x * y) \ x) = x / y. [para(12498(a,1),298(a,1,2)),rewrite([8(5)])].

12990 A \ C = C / A. [back_rewrite(12641),rewrite([12873(5)])].

13215 0 / (x / y) = y / x. [para(30(a,1),12503(a,1,1)),flip(a)].

13216 C / (C * x) = 0 / x. [para(49(a,1),12503(a,1,1))].

13223 (C * C) / x = C / (x / C). [para(974(a,1),12503(a,1,1)),rewrite([13215(10)]),flip(a)].

13230 (C / A) / C = 0 / A. [para(12990(a,1),12503(a,1,1))].

13231 C * (x * (C * ((C * x) \ y))) = x * ((C / x) * y). [back_rewrite(1907),rewrite([13216(6),12498(5),1869(4)]),flip(a)].

13406 x \ (x / C) = 0 / C. [para(12513(a,1),10(a,1,2))].

13407 (x * (y / C)) / C = (x / (C * C)) * y. [para(12513(a,1),13(a,1,1,2)),rewrite([12498(6),79(4),969(4),12498(12),79(10),12498(12),79(10)]

),flip(a)].

13413 (x * x) / C = x * (x / C). [para(12513(a,1),31(a,1)),rewrite([12513(7)])].

13414 C * (x * (x / C)) = x * x. [para(12513(a,1),84(a,1,1,2)),rewrite([12555(7)])].

13419 C * (x * (y * (x / C))) = x * (y * x). [para(12513(a,1),35(a,1,1,2,2)),rewrite([12555(8)])].

13421 (x * (y * (x * (z / C)))) / C = ((x * (y * (x / C))) / C) * z. [para(12513(a,1),37(a,1,1,2,2,2)),rewrite([12498(8),79(6),12498(14),79(

12),12498(16),79(14)]),flip(a)].

13449 (x * (x * (y / C))) / C = (x * (x / (C * C))) * y. [para(12513(a,1),85(a,1,1,2,2)),rewrite([12498(7),79(5),13407(5),3032(5),12498(13),

79(11),12498(14),79(12)]),flip(a)].

13481 x \ (0 / C) = (0 / x) / C. [para(12513(a,1),12498(a,1)),flip(a)].

13607 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(13(a,1),12862(a,1,2))].

13608 x / (x * C) = 0 / C. [para(16(a,1),12862(a,1,2))].

13614 x / (y * (z * (u * (z * (y * x))))) = 0 / (y * (z * (u * (z * y)))). [para(37(a,1),12862(a,1,2))].

13631 a(x,y,C) / (C * (x * y)) = 0 / (x * (C * y)). [para(77(a,1),12862(a,1,2))].

13644 (x \ y) / (x * y) = 0 / (x * x). [para(12862(a,1),154(a,1,1,1)),rewrite([12498(3),12862(5),12862(7),12498(8),12715(6)])].

13785 C * (C * (x / (y \ C))) = (C * x) / (0 / y). [para(12873(a,1),298(a,1,2,1,2)),rewrite([16(6,R)])].

13786 C * (((0 / x) / C) * y) = (x \ C) * (y / C). [para(12873(a,1),348(a,1,1)),rewrite([79(4)]),flip(a)].

13796 (A / x) / (0 / x) = A. [para(12890(a,1),11(a,1,1))].

13837 (x / y) * (y / x) = 0. [para(13215(a,1),12(a,1,1))].

13839 x / (C * (x * C)) = 0 / (C * C). [para(158(a,1),13215(a,1,2)),flip(a)].

13840 (x / C) / (x * C) = 0 / (C * C). [para(391(a,1),13215(a,1,2)),flip(a)].

13843 x / (x * (C * C)) = 0 / (C * C). [para(649(a,1),13215(a,1,2)),flip(a)].

13844 x * a(x,y / z,z / y) = (x * (y / z)) * (z / y). [para(13215(a,1),66(a,1,2,2)),rewrite([8(2),13215(7)])].

13859 (x / y) * ((y / x) * z) = z. [para(13215(a,1),348(a,2,2,1)),rewrite([8(3),9(4)]),flip(a)].

13861 (x / y) \ z = (y / x) * z. [para(13215(a,1),12497(a,1,1))].

13862 (0 / C) / x = 0 / (C * x). [para(12555(a,1),13215(a,1,2)),flip(a)].

13997 C / (x / C) = C * (x \ C). [para(13216(a,1),298(a,1,2,1)),rewrite([16(5,R),12873(5),13223(8)]),flip(a)].

14010 (C * C) / x = C * (x \ C). [back_rewrite(13223),rewrite([13997(8)])].

14320 (0 / x) / (0 / (x * A)) = A. [para(12862(a,1),13796(a,1,1))].

15730 (x * y) * (0 / (x * x)) = x * ((y / x) * (0 / x)). [para(12715(a,1),348(a,1,2))].

15758 a(x,0 / (x * x),y) = 0. [para(12732(a,1),64(a,1,2,1)),rewrite([12498(4),339(2),9(3),12498(4),26(3)]),flip(a)].

15975 a(0 / x,x * x,y) = 0. [para(12498(a,1),15758(a,1,2,2)),rewrite([12715(6),13215(7),28(5)])].

16003 (x * C) * (C / x) = C * C. [para(12884(a,1),99(a,1,2)),rewrite([12979(8)])].

16162 x / (x \ y) = x * (y \ x). [para(9(a,1),12979(a,1,2,1)),flip(a)].

16163 (x * y) \ x = x \ (x / y). [para(12979(a,1),10(a,1,2)),flip(a)].

16187 (C / x) / (C * (C / (C / x))) = ((C / x) / C) * ((C / x) / C). [para(12979(a,1),392(a,1,1)),rewrite([16163(6),79(6),13861(8),16(8,R),1

6163(13),79(13),16163(17),79(17)])].

16198 x * ((C * (x * (y * x))) \ x) = x / (y * (x * C)). [para(56(a,2),12979(a,1,2,1))].

16261 x * ((0 / x) / C) = 0 / C. [para(13608(a,1),12979(a,2)),rewrite([16163(4),13608(3),13481(4)])].

16275 x / (C * (x \ C)) = x * (x / (C * C)). [para(12888(a,1),12979(a,1,2,1)),rewrite([339(4),79(3),79(4),969(4)]),flip(a)].

16522 0 / (x * (x / C)) = C / (x * x). [para(13413(a,1),13215(a,1,2))].

16705 (x * y) * ((0 / x) / C) = x * ((y / x) / C). [para(13481(a,1),348(a,1,2)),rewrite([12513(11)])].

16775 (x / (y / z)) * ((y / z) * u) = (z / y) * (((y / z) * x) * u). [para(36(a,1),13859(a,1,2)),flip(a)].

16789 ((x / y) * (((y / x) * z) * u)) \ (z * u) = a(x / y,(y / x) * z,u). [para(13859(a,1),64(a,1,2,1))].

16814 (x / ((y / z) * u)) * (y / z) = (z / y) * (((y / z) * x) / u). [para(298(a,1),13859(a,1,2)),flip(a)].

16853 x * ((C * (x * y)) \ x) = (x / C) / y. [para(13862(a,1),298(a,1,2,1)),rewrite([12498(6),12513(9)])].

16858 (x / C) / (y * x) = x / (y * (x * C)). [back_rewrite(16198),rewrite([16853(6)])].

18244 ((x * C) * (y * (C * C))) / (C / x) = (x * C) * (y * (x * C)). [para(16003(a,1),35(a,1,1,2,2))].

18285 (C / x) / (C * C) = 0 / (x * C). [para(16003(a,1),12862(a,1,2))].

18347 x * ((y / (x / y)) * x) = (x * y) * y. [para(10(a,1),16162(a,2,2)),rewrite([16163(3),11483(4)])].

18441 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(18(a,1),16163(a,1,1)),flip(a)].

18444 ((C * x) * y) \ (x * C) = (x * C) \ ((x * C) / y). [para(76(a,2),16163(a,1,1))].

18511 (C * ((x / C) * x)) \ (x / C) = 0 / (x * C). [para(220(a,1),16163(a,1,1)),rewrite([16858(15),13839(15),13861(16),12558(16),18285(14)])

].

18573 x \ (y * (0 / x)) = (x \ y) / x. [para(8(a,1),297(a,1,1,2)),rewrite([12498(3),12498(8)]),flip(a)].

18661 (C * x) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(297(a,1),12555(a,1)),rewrite([12555(4),12555(6),12555(11)])].

18664 x \ (x \ C) = (x \ C) / x. [para(12873(a,1),297(a,2,2)),rewrite([8(5),16(4,R),12873(4),12498(8)]),flip(a)].

18670 (A \ (x * (C / A))) / C = (A \ x) / A. [para(13230(a,1),297(a,1,1,1)),rewrite([12498(8),13230(13),13230(16),12498(16),18573(14)])].

18738 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(12871),rewrite([18573(4)]),flip(a)].

18890 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [back_rewrite(312),rewrite([18661(6)]),flip(a)].

19032 ((x * C) * (y * (C * C))) / (C / x) = C * ((C * x) * (y * x)). [back_rewrite(18244),rewrite([18890(16)])].

19227 (x * y) / ((0 / x) / C) = x * ((C * y) * x). [para(16261(a,1),298(a,1,2,1,2)),rewrite([12555(4)]),flip(a)].

19295 (x * (C * (y * (x * (C * C))))) / C = x * (C * (y * (C * x))). [para(306(a,1),300(a,1,1,2,2,2))].

19606 ((C * x) * (y * (C * (C * (x * A))))) / (A * C) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,1,1,2,2)),rewrite([16(6,R),16(8,R),1866

1(20)])].

19608 (C * x) * (y * (x * C)) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,2,2,2)),rewrite([16(7,R),19606(14)]),flip(a)].

19806 x * ((x \ C) / x) = x \ C. [para(18664(a,1),9(a,1,2))].

19951 A * ((x \ (x / A)) * A) = A. [para(12496(a,1),302(a,1,1,2,2)),rewrite([8(7),12890(6),12862(4),14320(7),12498(7),16163(5)]),flip(a)].

20574 (x \ (x / A)) * A = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].

20575 A * ((x \ (x / A)) * (A * y)) = A * y. [para(19951(a,1),13(a,1,1)),flip(a)].

20578 (x \ (x / A)) * (A * (x \ (x / A))) = 0 / A. [para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].

20585 (x \ (x / A)) * (A * y) = y. [para(19951(a,1),71(a,2,1,2)),rewrite([20575(11),20578(15),12852(11),8(8),20574(11),7(8)])].

20598 x * (A * (y \ (y / A))) = x. [para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].

20606 x \ (x / A) = 0 / A. [back_rewrite(20578),rewrite([20598(9)])].

20659 x * (0 / A) = x / A. [para(20606(a,1),9(a,1,2))].

20662 (A \ (x / A)) * y = ((A \ x) / A) * y. [para(20606(a,1),33(a,1,1)),rewrite([20606(6),12498(7),12498(7),18738(5),20606(8),12498(11)]),f

lip(a)].

20675 A \ (x * (y * (x * (A \ z)))) = ((A \ (x * (y * x))) / A) * z. [para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606

(14),12498(15),20662(14)])].

20676 A \ (x * (C / A)) = C * (A \ (x / A)). [para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].

20720 A \ (x / A) = (A \ x) / A. [back_rewrite(18670),rewrite([20676(6),51(8)])].

20744 (x * (y * x)) / A = x * (y * (x / A)). [para(20659(a,1),13(a,1)),rewrite([20659(8)])].

20832 A \ (x * (y * (x / A))) = (A \ (x * (y * x))) / A. [para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14

)]),flip(a)].

21328 A * ((A \ x) / A) = x / A. [para(20720(a,1),9(a,1,2))].

21351 (A * x) * A = A * (x * A). [para(302(a,1),20720(a,1,2)),rewrite([10(8),10(14),20744(12),27(10),8(9)])].

21694 ((x \ y) / x) * (x * z) = x \ (y * z). [para(9(a,1),349(a,1,2,1)),flip(a)].

21699 x \ (C * (x * y)) = (y / x) * (x * C). [para(16(a,2),349(a,1,2))].

21703 (x / (C * C)) * (C * y) = (x * y) / C. [para(52(a,1),349(a,1,2,1)),rewrite([79(3),969(7)]),flip(a)].

21785 (C * x) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),349(a,1,2,1)),rewrite([13862(8),12498(10)]),flip(a)].

21786 (x / (y * C)) * y = (x / y) * (y / C). [para(12513(a,1),349(a,1,2)),rewrite([11593(4),12513(9)])].

21787 ((0 / x) / C) * (C * y) = ((x \ C) * y) / C. [para(12873(a,1),349(a,1,2,1)),rewrite([79(5)]),flip(a)].

21802 (C / x) * (x * (0 / (C * x))) = 0 / x. [para(12628(a,1),349(a,1,2)),rewrite([12620(2)]),flip(a)].

21814 C * (x \ (C * ((x / C) * y))) = (C / x) * (x * y). [para(13997(a,1),349(a,2,1)),rewrite([16(6,R),52(6),13861(4),12505(12)]),flip(a)].

21826 ((C / x) / (x * C)) * ((x * C) * y) = (x * C) \ (C * (C * y)). [para(16003(a,1),349(a,1,2,1)),rewrite([31(6)]),flip(a)].

21894 C * ((x / (C * y)) * y) = C * ((x / y) * (y / C)). [back_rewrite(2319),rewrite([21786(11)])].

21942 x \ (C * ((x / y) * (y / C))) = a(x / (C * y),y,C). [back_rewrite(2063),rewrite([21894(6)])].

22092 ((C * x) * x) / (C * ((x / C) * x)) = C. [para(220(a,1),350(a,1,2))].

22253 C * (x \ (C * ((C * y) / (x \ C)))) = (C * (x \ (C * y))) * x. [para(306(a,2),351(a,1,2)),rewrite([14010(4),14010(9),16(12,R),11601(13

),12505(10),14010(14),12505(15)])].

22690 (A \ (x * ((x \ (A * y)) * x))) / A = y * (x / A). [para(21328(a,1),39(a,2,2)),rewrite([13861(9),16162(8),12505(9),21351(11),13(16),21

328(14),21694(13),20832(9)])].

23565 (C * (x * y)) \ ((x * (y / x)) * (x * C)) = a(x,y / x,x * C). [para(360(a,1),101(a,1,2))].

24263 (C * x) * ((y / (C * C)) * x) = (x / C) * (y * x). [para(56(a,1),365(a,2)),rewrite([13407(7),16(14,R),52(14)])].

25402 (x * C) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),381(a,1,2,1)),rewrite([11(6),21785(4),13862(10),12498(14),21785(12),11(10)]),f

lip(a)].

27367 (x \ C) * ((x / (C * C)) * y) = ((0 / x) / C) * (x * y). [para(16261(a,1),421(a,1,2,2,2,2)),rewrite([12513(9),13786(10),13407(7),16(18

,R),52(18),12496(15),8(14)])].

28110 (C * x) * (((y * (z * (y / C))) / C) * x) = (x / C) * (y * (z * (y * x))). [para(425(a,1),348(a,2)),rewrite([79(9),13421(9),52(16)])].

28116 C / (x * (y * (z * (y * (C * x))))) = 0 / (x * (y * (z * (y * x)))). [para(425(a,1),13216(a,1,2))].

28704 (x / (y * (C * C))) * y = (x / y) * (y / (C * C)). [para(12558(a,1),349(a,1,2)),rewrite([11593(6),12558(13)])].

28744 C * (C * ((x / (C * (C * y))) * y)) = C * (C * ((x / y) * (y / (C * C)))). [back_rewrite(2371),rewrite([28704(18)])].

28746 x * ((x \ y) * x) = y / (0 / x). [para(9(a,1),12632(a,1,1)),flip(a)].

28749 (C * x) / (0 / x) = x * (C * x). [para(16(a,2),12632(a,1,1))].

28750 x / (C / x) = (x / C) * x. [para(52(a,1),12632(a,2,2)),rewrite([16(4,R),52(4),13215(4)])].

28775 (x / C) / (0 / x) = x * (x / C). [para(12513(a,1),12632(a,1,1)),rewrite([12498(9),79(7)])].

28776 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(12632(a,1),13215(a,1,2)),flip(a)].

28815 x / (A / y) = x * (y / A). [back_rewrite(22690),rewrite([28746(6),11593(7),12890(4),11(7)])].

28963 0 / ((x / C) * x) = (C / x) / x. [para(28750(a,1),13215(a,1,2))].

29063 x / (0 / y) = x * y. [para(11(a,1),28815(a,2,2)),rewrite([12862(4)])].

29065 x * (0 / y) = x / y. [para(29(a,1),28815(a,1,2)),rewrite([12503(5)]),flip(a)].

29171 (x / C) * x = x * (x / C). [back_rewrite(28775),rewrite([29063(5)])].

29186 (C * x) * x = x * (C * x). [back_rewrite(28749),rewrite([29063(5)])].

29188 x * ((x \ y) * x) = y * x. [back_rewrite(28746),rewrite([29063(6)])].

29241 C * (C * (x / (y \ C))) = (C * x) * y. [back_rewrite(13785),rewrite([29063(12)])].

29244 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(12868),rewrite([29063(3)])].

29248 (x * y) * x = x * (y * x). [back_rewrite(12632),rewrite([29063(4)])].

29249 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(12504),rewrite([29063(3)])].

29338 (C / x) / C = 0 / x. [back_rewrite(21802),rewrite([29065(7),12862(5),29065(6)])].

29403 x \ (y / x) = (x \ y) / x. [back_rewrite(18573),rewrite([29065(3)])].

29434 (x * y) / (x * x) = x * ((y / x) / x). [back_rewrite(15730),rewrite([29065(5),29065(7)])].

29496 x \ C = C / x. [back_rewrite(12873),rewrite([29065(4)]),flip(a)].

29499 (x / (y * y)) * a(x,0 / y,0 / y) = (x / y) / y. [back_rewrite(12760),rewrite([29065(4),29065(11),29065(12)])].

29500 ((x * x) / y) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(12756),rewrite([29065(4),29065(5),29065(6),13861(5)])].

29520 a(x,y,0 / y) = 0. [back_rewrite(12643),rewrite([29065(4),13837(3)]),flip(a)].

29524 (x * y) / x = x * (y / x). [back_rewrite(12633),rewrite([29065(4)])].

29649 (C / x) / x = C / (x * x). [back_rewrite(28963),rewrite([29171(4),16522(5)]),flip(a)].

29724 x * (C / x) = C. [back_rewrite(22092),rewrite([29186(3),29171(7),13414(8),29434(5),11(3)])].

29741 (0 / x) / C = 0 / (x * C). [back_rewrite(18511),rewrite([29171(4),13414(5),339(4),13406(3),13481(4)])].

29978 C * (x * (x * ((C / x) * y))) = (C * x) * (C * y). [back_rewrite(12083),rewrite([29186(4),13(10),13231(9)])].

30017 (C * x) * ((C * x) * y) = C * (x * (x * (C * y))). [back_rewrite(8619),rewrite([29186(4),498(6)]),flip(a)].

30374 x / (C * (C / x)) = x * (x / (C * C)). [back_rewrite(16275),rewrite([29496(3)])].

30413 x * (C * (C / x)) = C * C. [back_rewrite(12888),rewrite([29496(3)])].

30485 (C / x) / (x * C) = 0 / (x * x). [back_rewrite(16187),rewrite([30374(9),18285(8),29065(7),29338(9),29338(11),29065(10),12697(8)])].

30540 C * (C * (x / (C / y))) = (C * x) * y. [back_rewrite(29241),rewrite([29496(4)])].

30554 (C / x) * ((x / (C * C)) * y) = x \ ((x / C) * y). [back_rewrite(27367),rewrite([29496(2),29741(12),12498(14),25402(12)])].

30581 C * (x \ (C * ((C * y) / (C / x)))) = (C * (x \ (C * y))) * x. [back_rewrite(22253),rewrite([29496(6)])].

30586 (x * C) \ (C * y) = ((C / x) * y) / C. [back_rewrite(21787),rewrite([29741(4),12498(7),29496(7)])].

30626 x * (C / (x * x)) = C / x. [back_rewrite(19806),rewrite([29496(2),29649(3),29496(6)])].

30809 (x * y) * (x * C) = x * ((C * y) * x). [back_rewrite(19227),rewrite([29741(5),29063(6)])].

30843 (x * y) / (x * C) = x * ((y / x) / C). [back_rewrite(16705),rewrite([29741(5),29065(6)])].

30954 (x * C) * ((x * C) * y) = C * (x * (x * (C * y))). [back_rewrite(889),rewrite([30017(6)]),flip(a)].

31026 x \ ((C / x) * (x * y)) = ((C / x) * (C * y)) / C. [back_rewrite(21826),rewrite([30485(5),12498(7),339(5),349(4),30586(12)])].

31115 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y / x,x * C). [back_rewrite(23565),rewrite([30809(8)])].

31143 x * ((y / (C * (x * x))) * x) = x * ((y / x) / C). [back_rewrite(11615),rewrite([30843(10)])].

31237 (x * y) / (C / x) = x * ((y / C) * x). [para(29724(a,1),298(a,1,2,1,2)),flip(a)].

31259 (x * (C * x)) \ ((x * C) * y) = (C * x) \ (C * y). [para(29724(a,1),381(a,1,2,1)),rewrite([12862(9),28776(10),12498(14)]),flip(a)].

31279 a(x,0 / y,y) = 0. [para(29(a,1),29520(a,1,3)),rewrite([12620(2)])].

31280 a(x,y / z,z / y) = 0. [para(13215(a,1),29520(a,1,3))].

31293 (x * (y / z)) * (z / y) = x. [back_rewrite(13844),rewrite([31280(3),8(2)]),flip(a)].

31452 (x * (x / y)) * y = x * x. [para(31279(a,1),93(a,1,2)),rewrite([12(3),8(2),8(3),29065(4)]),flip(a)].

31516 (x * y) * (x * y) = x * (y * (x * y)). [para(29063(a,1),154(a,1,1,1)),rewrite([29248(2),29063(5),13(3),29063(6),29063(7)]),flip(a)].

31517 x * ((y / (x / z)) * x) = (x * y) * z. [para(29063(a,1),298(a,2)),rewrite([29065(3)])].

31519 (0 / x) / y = 0 / (y * x). [para(29063(a,1),13215(a,1,2)),flip(a)].

31520 x / (y / z) = x * (z / y). [para(13215(a,1),29063(a,1,2))].

31641 (x * y) * y = x * (y * y). [back_rewrite(18347),rewrite([31520(2),31452(3)]),flip(a)].

31689 x * ((y * (z / x)) * x) = (x * y) * z. [back_rewrite(31517),rewrite([31520(2)])].

31692 (x * y) * (x / C) = x * ((y / C) * x). [back_rewrite(31237),rewrite([31520(4)])].

31714 C * (x \ (C * (C * ((y / C) * x)))) = (C * (x \ (C * y))) * x. [back_rewrite(30581),rewrite([31520(7),365(7)])].

31718 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(30540),rewrite([31520(5)])].

31863 ((x * C) * (y * (C * C))) * (x / C) = C * ((C * x) * (y * x)). [back_rewrite(19032),rewrite([31520(10)])].

31865 (x * (y / z)) * ((z / y) * u) = (y / z) * (((z / y) * x) * u). [back_rewrite(16775),rewrite([31520(2)])].

31881 (x * y) / ((z / (x * u)) * x) = x * ((y * (u / (x * z))) * x). [back_rewrite(11787),rewrite([31520(8)])].

31994 a(x,y / x,x * C) = a(C,x,y). [back_rewrite(31115),rewrite([31689(8),1990(7)]),flip(a)].

32072 x \ (x / y) = 0 / y. [para(29065(a,1),10(a,1,2))].

32073 (x * (y * x)) / z = x * (y * (x / z)). [para(29065(a,1),13(a,1)),rewrite([29065(6)])].

32076 (x * x) / y = x * (x / y). [para(29065(a,1),31(a,1)),rewrite([29065(5)])].

32082 (x * (y * (z * (y * x)))) / u = x * (y * (z * (y * (x / u)))). [para(29065(a,1),37(a,1)),rewrite([29065(8)])].

32085 (C * (C / x)) * y = C * (x \ (C * y)). [para(29065(a,1),55(a,1,1,2)),rewrite([12498(11)])].

32088 (x * (y / z)) \ ((x * y) / z) = a(x,y,0 / z). [para(29065(a,1),64(a,1,1,2)),rewrite([29065(6)])].

32115 x \ (0 / y) = 0 / (y * x). [para(29065(a,1),12498(a,1)),rewrite([31519(3)]),flip(a)].

32137 (x * y) \ (x * z) = x \ ((x / y) * z). [para(29065(a,1),349(a,1,2,1)),rewrite([31519(6),12498(8)]),flip(a)].

32138 (x / (y * z)) * y = (x / y) * (y / z). [para(29065(a,1),349(a,1,2)),rewrite([11593(3),29065(7)])].

32145 (C * x) / (C * y) = C * ((x / C) / y). [para(29065(a,1),365(a,2,2)),rewrite([31519(6),29065(7)])].

32159 (x * y) * ((z / x) * (x / u)) = x * ((y / x) * ((x * z) / u)). [para(29065(a,1),385(a,1,2,2)),rewrite([29065(10)])].

32221 ((C * x) * y) \ (x * C) = 0 / y. [back_rewrite(18444),rewrite([32072(12)])].

32223 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(18441),rewrite([32072(7)]),flip(a)].

32226 (x * y) \ x = 0 / y. [back_rewrite(16163),rewrite([32072(4)])].

32276 (x * (x / y)) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(29500),rewrite([32076(2)])].

32468 (x * (C * x)) \ ((x * C) * y) = ((C / x) * y) / C. [back_rewrite(31259),rewrite([32137(12),79(12)])].

32572 (C * (C * x)) \ y = (x \ (y / C)) / C. [back_rewrite(10806),rewrite([32137(17),28116(11),12498(14),32137(12),13607(7),12498(11),32137(

9),12862(6),12498(6),10(4),79(3),79(5)]),flip(a)].

32573 (x * (y * x)) \ z = x \ (y \ (x \ z)). [back_rewrite(10748),rewrite([32137(11),13614(6),12498(10),32137(8),13607(4),12498(7),32137(5),

12862(2),12498(4),10(2)]),flip(a)].

32597 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [back_rewrite(4520),rewrite([32137(11),13216(6),12498(8),32137(6),79(7)])].

32636 (x * y) / ((z / x) * (x / u)) = x * ((y * (u / (x * z))) * x). [back_rewrite(31881),rewrite([32138(4)])].

32684 (x * (y / z)) * ((z / y) / u) = (y / z) * (((z / y) * x) / u). [back_rewrite(16814),rewrite([32138(5),31520(2)])].

32699 x \ ((x * y) / z) = (y / x) * (x / z). [back_rewrite(11593),rewrite([32138(6)])].

32712 x * a(x / (y * (C * z)),y,z * C) = ((x / y) * (y / (z * C))) * (z * C). [back_rewrite(2377),rewrite([32138(13)])].

32880 x \ (((C / x) * (x * y)) / C) = ((C / x) * y) / C. [back_rewrite(32468),rewrite([32573(7),349(5),79(6)])].

32917 a(x,0 / y,0 / y) = 0. [back_rewrite(32276),rewrite([32684(5),12(3),13837(3)]),flip(a)].

32973 (x / y) / y = x / (y * y). [back_rewrite(29499),rewrite([32917(7),8(4)]),flip(a)].

33011 0 / (x \ y) = y \ x. [para(29(a,1),32072(a,1,2)),flip(a)].

33012 (x / y) * (y * x) = x * x. [para(32072(a,1),345(a,1,2,2)),rewrite([32115(4),31520(5),28(4)])].

33013 (x \ y) \ x = y \ (x * x). [para(345(a,1),32072(a,1,2)),rewrite([33011(6)]),flip(a)].

33132 (x \ y) * (y \ x) = 0. [para(33011(a,1),12(a,1,1))].

33135 x * a(x,y \ z,z \ y) = (x * (y \ z)) * (z \ y). [para(33011(a,1),66(a,1,2,2)),rewrite([8(2),33011(7)])].

33139 (x \ y) \ z = (y \ x) * z. [para(33011(a,1),12498(a,1,1)),flip(a)].

33140 a(x \ y,(y \ x) * (y \ x),z) = 0. [para(33011(a,1),15975(a,1,1))].

33165 a(x,y \ z,z \ y) = 0. [para(33011(a,1),29520(a,1,3))].

33166 x / (y \ z) = x * (z \ y). [para(33011(a,1),29065(a,1,2)),flip(a)].

33168 x \ (y * y) = (x \ y) * y. [back_rewrite(33013),rewrite([33139(2)]),flip(a)].

33183 (x * (y \ z)) * (z \ y) = x. [back_rewrite(33135),rewrite([33165(3),8(2)]),flip(a)].

33329 x * ((x \ (y \ x)) * y) = (y \ x) * y. [para(33132(a,1),33(a,1,2,2)),rewrite([8(3),29249(6)]),flip(a)].

33334 (x \ (y * C)) * ((C * y) \ x) = 0. [para(245(a,2),33132(a,1,2))].

33344 x * ((x \ y) * (x * z)) = (y * x) * z. [para(33132(a,1),196(a,1,1,2)),rewrite([8(2),33132(4),8(3),33132(7),8(6),29249(8),33329(8),2918

8(7)])].

34692 (x * (y * (x / z))) / z = x * (y * (x / (z * z))). [para(32917(a,1),71(a,1,2)),rewrite([29065(5),32973(3),29065(4),8(6),29065(7),29065

(10)]),flip(a)].

34696 (C * x) * ((y * (z * (y / (C * C)))) * x) = (x / C) * (y * (z * (y * x))). [back_rewrite(28110),rewrite([34692(8)])].

34991 (x * C) * (C * (x * ((C / x) * y))) = C * ((x * C) * (C * y)). [para(89(a,2),474(a,2,1,2)),rewrite([29496(4),13216(4),29496(12),13216(

12),12498(11),348(10),30954(12),12498(13),21699(11),29524(8),30809(11),31689(11),29496(13),13216(13),31516(17),12498(19),21699(17),32073(14),

29724(13),31(15),55(16)])].

35208 (x * (y * (x * y))) * z = (x * y) * ((x * y) * z). [para(29188(a,1),432(a,1,1,2,2,2)),rewrite([33344(5),31516(3),33344(9),33344(10)])]

.

35212 (x / y) * x = x * (y \ x). [para(32072(a,1),29188(a,1,2,1)),rewrite([12498(3)]),flip(a)].

35340 (x * (x * (y * x))) * z = x * ((x * y) * (x * z)). [para(29248(a,1),13(a,1,1,2))].

35358 0 / a(x,y,x * z) = a(x * y,x,z). [para(29248(a,1),64(a,1,2,1)),rewrite([13(6),32223(7)])].

35398 x \ ((x / y) * (y * (x * z))) = (x / (x * y)) * ((x * y) * z). [para(29248(a,1),349(a,1,2,1)),rewrite([13(4),32137(5)])].

35448 x * ((x \ y) / x) = y / x. [para(29403(a,1),9(a,1,2))].

35464 (x \ (y \ x)) / x = 0 / (y * x). [para(12503(a,1),29403(a,1,2)),rewrite([32115(3)]),flip(a)].

35478 x \ (y / (x * x)) = (x \ y) / (x * x). [para(29403(a,1),29403(a,2,1)),rewrite([32973(2),32973(6)])].

35569 (x / y) / x = x / (x * y). [para(29065(a,1),29524(a,1,1)),rewrite([31519(5),29065(6)])].

35748 C * (x * (y * (x / (C * C)))) = x * (y * (x / C)). [para(30626(a,1),425(a,2,2,2,2,2)),rewrite([13608(6),13608(9),29065(8),12498(9),79(

7),34692(7),13608(13),27(14),8(13),12498(14),79(12),32073(12)])].

35762 a(x * (y / z),z / y,u) = a(y / z,(z / y) * x,u). [para(31293(a,1),64(a,1,2,1)),rewrite([31865(5),16789(7)]),flip(a)].

35859 (C * (C / x)) \ ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [para(31452(a,1),382(a,2,2)),rewrite([16(4,R),32085(9),306(20,R),16(19,

R),11601(20),31520(16),365(16)])].

36454 (x * (y / z)) \ u = ((z / y) / x) * u. [para(31520(a,1),13861(a,1,1))].

36488 x / (y * (z / u)) = x * ((u / z) / y). [para(31520(a,1),31520(a,1,2))].

36490 (x / (C * C)) * ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [back_rewrite(35859),rewrite([36454(11),32973(4)])].

36496 ((x / y) / z) * ((z * y) / x) = a(z,y,0 / x). [back_rewrite(32088),rewrite([36454(5)])].

36540 x * ((y * (z / (x * u))) * x) = x * ((y / x) * ((x * z) / u)). [back_rewrite(32636),rewrite([36488(5),31520(4),32159(5)]),flip(a)].

36747 (x * (y * (x * x))) * z = x * ((y * x) * (x * z)). [para(31641(a,1),13(a,1,1,2))].

36999 (x * y) / (z * x) = x * ((y / x) / z). [para(32115(a,1),348(a,1,2)),rewrite([29065(5),29065(7)])].

37089 C * (x / (C * (C * (C * C)))) = (x / C) / (C * C). [para(32973(a,1),743(a,1,2)),rewrite([306(8,R),16(7,R),1101(16)])].

37122 (x / (y * y)) / y = (x / y) / (y * y). [para(32973(a,1),32973(a,1,1))].

37156 a(x / y,y,x) = 0. [para(33012(a,1),64(a,1,1)),rewrite([12(3),26(3)]),flip(a)].

37234 a(x,y,x * y) = 0. [para(11(a,1),37156(a,1,1))].

37335 a(x,0 / y,x / y) = 0. [para(29065(a,1),37234(a,1,3))].

37490 (x / y) * (x / y) = x * ((y \ x) / y). [para(37335(a,1),18(a,1,2)),rewrite([12498(4),29403(2),8(5),29065(6)]),flip(a)].

38253 (x / y) * (y * (x \ y)) = y. [para(35212(a,1),10(a,1,2)),rewrite([13861(4)])].

38516 a(x / y,y,x \ y) = 0. [para(38253(a,1),64(a,1,1)),rewrite([12(2),9(2),26(1)]),flip(a)].

38555 a(C / x,x,x / C) = 0. [para(79(a,1),38516(a,1,3))].

38632 a(C / x,x,x / (C * C)) = 0. [para(32973(a,1),38555(a,1,3)),rewrite([31520(4),35762(11),16(6,R),52(6)])].

42338 (x * C) * (C * y) = C * (C * (x * y)). [para(620(a,2),349(a,1,2,1)),rewrite([35208(6),30017(6),21699(7),29524(4),30809(7),31689(7),295

24(10),32076(9),30413(10),31(10)])].

42481 C * ((C * x) * (C * y)) = C * (C * (C * (x * y))). [back_rewrite(34991),rewrite([42338(9),29978(8),42338(13)])].

42504 a(x,C,C * y) = a(x,y,C * C). [back_rewrite(2048),rewrite([42338(10),2043(11)]),flip(a)].

42507 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(892),rewrite([42338(10)])].

42508 (x * (y * (C * C))) * a(x,C,C * y) = C * (C * (x * y)). [back_rewrite(789),rewrite([42338(15)])].

42518 C * (C * (C * ((x / (C * y)) * z))) = (C * ((C * x) / y)) * z. [back_rewrite(11656),rewrite([42481(10)])].

43048 (x / C) * (y * (C * x)) = C * ((x / C) * (y * x)). [para(12(a,1),622(a,2,2,2,2)),rewrite([1486(9)]),flip(a)].

43590 (x * C) * (y * C) = C * (C * (x * y)). [para(16(a,2),626(a,1,2,3)),rewrite([42508(10)]),flip(a)].

43601 (x * C) * (y * (C * C)) = C * (C * (x * (y * C))). [para(31641(a,1),626(a,1,2,3)),rewrite([306(6,R),16(5,R),1498(14),16(13,R),42338(14

)])].

43619 (C * x) * (C * y) = C * (C * (x * y)). [back_rewrite(893),rewrite([43590(10)])].

43622 C * ((C * x) * (y * x)) = C * (x * ((y * C) * x)). [back_rewrite(31863),rewrite([43601(7),365(10),29524(8),52(8),29248(5)]),flip(a)].

43676 (C * x) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(19608),rewrite([43622(12)])].

43699 (C * x) * (y * (C * x)) = C * (x * ((y * C) * x)). [back_rewrite(18661),rewrite([43622(12)])].

43911 C * (C * (x * (y / (C * C)))) = C * ((x / C) * y). [para(630(a,2),379(a,1,2,1)),rewrite([16(7,R),35340(8),31(7),669(16),79(13),29403(1

4),79(12),32973(14),35478(15),79(11),35478(16),29403(12),79(10),32973(12),32973(16),306(15,R),16(14,R),55(17),37089(15),977(12),29524(6),52(6

),32973(6),16(16,R),16(23,R),35340(26),31(25),42518(25),32145(19),743(19),32973(15),743(16)])].

44004 C * (C * ((x / (C * (C * y))) * y)) = C * (((x / y) / C) * y). [back_rewrite(28744),rewrite([43911(20)])].

44569 (C * x) * (y * x) = x * ((y * C) * x). [para(656(a,2),349(a,2)),rewrite([306(9,R),16(8,R),52(8),43699(7),10(8),52(12),36(12)]),flip(a)

].

44590 (x / C) * (y * (z * (y * x))) = x * ((y * (z * (y / C))) * x). [back_rewrite(34696),rewrite([44569(10),16(8,R),35748(8)]),flip(a)].

44596 (x / C) * (y * x) = x * ((y / C) * x). [back_rewrite(24263),rewrite([44569(8),16(6,R),743(6)]),flip(a)].

44605 (x / C) * (y * (C * x)) = C * (x * ((y / C) * x)). [back_rewrite(43048),rewrite([44596(11)])].

44767 C * (C * ((x / C) * y)) = x * (C * y). [para(880(a,1),659(a,2,2,2)),rewrite([16(9,R),11597(14),32145(9),36540(11),13407(9),30554(10),9

(7)])].

44776 (C * (x \ (C * y))) * x = C * (x \ (y * (C * x))). [back_rewrite(31714),rewrite([44767(8)]),flip(a)].

44781 (x * (C * y)) / C = C * ((x / C) * y). [back_rewrite(36490),rewrite([44776(10),21703(11),9(5)])].

44823 x \ ((C / x) * (x * y)) = C * (x \ y). [back_rewrite(31026),rewrite([44781(12),35569(10),13216(10),12498(9)])].

44834 C * ((x / C) * (y * (x * (C * C)))) = x * (C * (y * (C * x))). [back_rewrite(19295),rewrite([44781(10)])].

45923 (C / x) * (x * (x / (C * C))) = x / C. [para(38632(a,1),18(a,1,2)),rewrite([8(10),12(11),743(14)])].

47608 (x / C) * (y * (x / C)) = x * ((y / C) * (x / C)). [para(9(a,1),798(a,1,1,2,2,2)),rewrite([79(2),44605(6),30843(10),32073(7),34692(9),

35748(10),79(8),79(10)]),flip(a)].

48783 x \ (C * (C * y)) = C * ((C / x) * y). [para(12892(a,1),381(a,2,1)),rewrite([33168(10),29496(8),16(10,R),31(11),55(12),43619(11),339(1

3),10(12),10(9),31(11),12498(12)]),flip(a)].

48819 x \ (y * (C * C)) = C * ((C / x) * y). [back_rewrite(10911),rewrite([48783(5)]),flip(a)].

48852 x \ (C * (y * C)) = C * ((C / x) * y). [back_rewrite(10907),rewrite([48819(10)])].

49052 (x / C) / (C * C) = x / (C * (C * C)). [para(13840(a,1),32076(a,2,2)),rewrite([37490(5),79(2),32973(4),30843(8),35569(5),13843(5),3712

2(7),31519(7),16(6,R),29065(8),29065(14)]),flip(a)].

49100 C * (x / (C * (C * (C * C)))) = x / (C * (C * C)). [back_rewrite(37089),rewrite([49052(16)])].

49557 a(C,x,y * x) = a(x,y,x * C). [para(11(a,1),31994(a,1,2)),flip(a)].

49558 a(x / C,y * (C / x),x) = a(C,x / C,y). [para(12(a,1),31994(a,1,3)),rewrite([31520(5)])].

49565 a(C * x,y,C * (C * x)) = a(C,C * x,y * (x * C)). [para(877(a,1),31994(a,1,2)),rewrite([16(6,R)])].

50382 (x * y) \ (y * z) = y \ ((x \ y) * z). [para(35464(a,1),349(a,2,1)),rewrite([9(3),12498(8)]),flip(a)].

50819 C * (x \ ((x / y) * (y / C))) = a(C,x,C * y). [para(886(a,1),102(a,1,2)),rewrite([16(5,R),43619(10),48783(11),13216(8),12498(8),32137(

6),32138(5)])].

50828 (x \ ((x / y) * (y * C))) / C = a(C * x,C,y). [para(886(a,1),32221(a,1,1)),rewrite([43619(5),16(10,R),32137(11),13216(6),12498(8),3213

7(6),79(7),35358(13)])].

51381 a(x,y / (C * C),C * C) = a(x,C,y / C). [para(743(a,1),42504(a,1,3)),flip(a)].

51470 ((x / C) / y) * (y * C) = C * (((x / y) / C) * y). [para(880(a,1),888(a,1,1)),rewrite([16(4,R),32712(10),12862(6),29065(5),16(10,R),16

(13,R),42507(16),44004(16)])].

51476 0 / a(C,x,y * C) = a(C * C,x,y). [para(888(a,1),32221(a,1,1)),rewrite([42507(5),16(10,R),32137(11),13216(6),12498(8),32137(6),79(7),32

597(7)]),flip(a)].

51553 (x / y) * (C * (y * y)) = (C * x) * y. [para(891(a,2),349(a,2)),rewrite([30809(4),10(5)]),flip(a)].

51944 (x * y) * (C * x) = x * ((C * y) * x). [para(897(a,2),36(a,1,2)),rewrite([51553(5)]),flip(a)].

52538 a(C,x / C,y * (x / C)) = a(x / C,y,x). [para(12(a,1),49557(a,2,3))].

52554 a(C,C * x,y * (x * C)) = a(C,x * C,y * (C * x)). [para(49557(a,1),2054(a,1)),rewrite([16(6,R),49565(7)])].

52574 a(C,x,x * (y \ x)) = a(x,x / y,x * C). [para(35212(a,1),49557(a,1,3))].

52605 (x / y) * (z * (C * C)) = C * ((C * (x / y)) * z). [para(916(a,1),13861(a,2)),rewrite([48852(6),31520(4)]),flip(a)].

52986 (x / y) * (C * (C * z)) = C * ((C * (x / y)) * z). [para(920(a,2),13861(a,2)),rewrite([48819(6),31520(4)]),flip(a)].

54292 (x * C) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(16(a,2),973(a,2,1)),rewrite([973(10),977(14)])].

54294 0 / a(x,C,y / (C * C)) = a(C,x / C,y / C). [para(973(a,1),32226(a,1,1)),rewrite([54292(7),2000(11)]),flip(a)].

54335 C * ((x / (C * (C * C))) * y) = (x / C) * (y / C). [para(977(a,1),363(a,1,1)),rewrite([29524(9),13407(8),49052(7),743(17)])].

54336 (x * y) / (C * C) = (x / C) * (y / C). [para(977(a,1),381(a,1,2,1)),rewrite([27(7),7(8),52(7),339(5),79(4),29403(5),79(3),32973(5),329

73(13),306(12,R),16(11,R),31(17),52986(18),49100(16),54335(14)])].

54764 a(C / x,x * (x / (C * C)),y) = 0. [para(79(a,1),33140(a,1,2,1)),rewrite([29496(2),79(6),37490(7),79(4),32973(6)])].

55893 (x * (y * (C * z))) / C = (C * x) * ((y / C) * z). [para(1224(a,1),382(a,2,2)),rewrite([31(7),31(15),52986(16),743(14),43619(13),48783

(14),13608(6),12498(11),349(9),36(10),31(14),55(15),21703(16)]),flip(a)].

56265 (x / (C * y)) * y = (x / y) * (y / C). [para(1236(a,1),10(a,1,2)),rewrite([32699(4)]),flip(a)].

56267 x * ((y / (C * x)) * (x * z)) = ((x * y) / C) * z. [para(1236(a,1),13(a,1,1)),flip(a)].

56270 (x / C) * (C * y) = C * (x * (y / C)). [para(625(a,1),1236(a,1,2,1,2)),rewrite([43699(11),16(8,R),36540(10),54336(8),13859(9),363(10)]

),flip(a)].

56275 x * (((y / x) / C) * x) = (x / C) * y. [para(1236(a,1),365(a,2,2)),rewrite([52(6),13407(8),44569(9),16(7,R),743(7),52(12)])].

56277 (x * (x * y)) / C = x * ((x / C) * y). [para(1236(a,1),428(a,2)),rewrite([56265(10),32076(9),1709(11),8(6),56265(6),32076(5),11597(7),

29524(2),31692(5),56275(5),31(6)]),flip(a)].

56342 C * ((x / C) * (y / C)) = (x * y) / C. [para(1236(a,1),902(a,2)),rewrite([56267(8),56270(6),36999(9),13407(7),54336(6),11(8)])].

56439 ((C * x) * y) / C = C * (x * (y / C)). [back_rewrite(363),rewrite([56270(10)])].

56448 (x * (x / (C * C))) * y = x * ((x / C) * (y / C)). [back_rewrite(13449),rewrite([56277(6)]),flip(a)].

56470 (C * x) * (y / (C * C)) = (x * y) / C. [back_rewrite(977),rewrite([56342(14)])].

57243 C / (x * (C * (C * (x * y)))) = 0 / (x * (x * (C * y))). [para(1255(a,1),13216(a,1,2))].

65392 (x \ ((C / y) * (y * x))) / C = a(C,x,y * (x * C)). [para(1498(a,1),102(a,1,2)),rewrite([16(6,R),43676(12),32137(13),13216(7),12498(10

),32137(8),12862(3),12498(7),349(5),79(7)])].

67104 (C / x) * (x * ((x / C) * y)) = C * (x * (y / C)). [para(54764(a,1),886(a,1,2)),rewrite([56448(10),11(8),8(9),45923(15),56270(12)])].

67105 (x / C) * (y * C) = C * (x * (y / C)). [para(54764(a,1),888(a,1,2)),rewrite([56448(10),29524(8),52(8),67104(7),8(7),45923(13)]),flip(a

)].

67153 a(C,x * C,y * (C * x)) = a(C,x,y * (x * C)). [para(115(a,1),1639(a,1,2)),rewrite([1500(8),43699(7),13(16),32137(17),13216(9),12498(14)

,32137(12),12862(5),12498(11),50382(9),29496(4),35398(9),13216(5),12498(7),29244(5),29496(3),79(7),65392(7)]),flip(a)].

67165 a(C,C * x,y * (x * C)) = a(C,x,y * (x * C)). [back_rewrite(52554),rewrite([67153(14)])].

67167 a(C * x,y,C * (C * x)) = a(C,x,y * (x * C)). [back_rewrite(49565),rewrite([67165(14)])].

68025 a(C,C * (x * (y * x)),z) = a(C,x * (y * x),z). [para(1698(a,1),49557(a,1,3)),rewrite([16(21,R),67167(22),16(18,R),1698(19)])].

69250 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(1871(a,1),349(a,1,2))].

69252 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(1871(a,1),381(a,1,2)),rewrite([11(7),32137(6),79(6),12862(10),1871(13),12498(

14),69250(12)])].

69324 C * ((C / x) * (x * (y / C))) = (C / x) * (x * y). [back_rewrite(21814),rewrite([69250(7)])].

69326 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(32880),rewrite([69252(6),44823(7)]),flip(a)].

69328 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(69252),rewrite([69326(6),32699(5)]),flip(a)].

69353 (C * (x / y)) * y = (C / y) * (y * x). [back_rewrite(69324),rewrite([69328(7),31718(8)])].

70055 a(x / (C * y),y,C) = a(x / C,y,x). [para(56(a,1),1977(a,1,1)),rewrite([79(2),79(4),16(6,R),52(6),44596(4),79(6),32137(9),12862(4),3152

0(4),7(4),69328(6),21942(7),79(8),79(10),52538(12)])].

70134 a(x,C,y / C) * a(C,x / C,y) = 0. [para(1977(a,1),33334(a,1,2)),rewrite([79(3),16(6,R),1999(7),79(7)])].

70330 (C * x) \ ((C / y) * (y * x)) = a(C,x / y,y). [para(16(a,1),1979(a,1,2,1)),rewrite([16(5,R),69353(6)])].

70331 (x * y) \ (C * (x * (y / C))) = a(x,y / C,C). [para(16(a,2),1979(a,1,2))].

70332 a(x / (C * y),y,C) = a(C,(x / C) / y,y). [para(52(a,1),1979(a,1,1)),rewrite([69353(6),69328(6),21942(7)])].

70356 a(x * C,y / C,C) = 0 / a(x,C,y). [para(1871(a,1),1979(a,1,2,1)),rewrite([16(10,R),44767(10),32223(7)]),flip(a)].

70360 a(x / C,y,x) = a(C,(x / C) / y,y). [back_rewrite(70055),rewrite([70332(5)]),flip(a)].

70582 a(C * C,x,y) = a(C * x,C,y). [para(358(a,1),1983(a,1,2,1)),rewrite([52986(8),52(6),55(10),32137(11),13216(6),12498(8),32137(6),79(7),3

2597(7),16(9,R),52(9)])].

70593 a(x * ((y / x) / C),x,C) = a(x,C,y / C). [para(1229(a,1),1983(a,1,1,2)),rewrite([56265(7),32076(6),11597(8),29524(3),31692(6),56275(6)

,16(6,R),1999(7),31143(10)]),flip(a)].

70848 a(C,x / (C * y),y * C) = a(C,x / y,y). [para(879(a,1),1990(a,1,1,2)),rewrite([16(7,R),42507(10),56265(8),31718(10),69353(6),70330(7)])

,flip(a)].

70863 a(C,x,C * (y * C)) = a(C,x,C * y). [para(916(a,1),1990(a,1,2)),rewrite([43601(14),48783(15),13216(10),12498(12),32137(10),56265(9),11(

8),32138(5),50819(7)]),flip(a)].

70923 ((x * y) \ ((C * x) * y)) / C = a(C * x,y,C). [para(76(a,1),1991(a,1,1)),rewrite([42338(5),32137(11),13216(6),12498(8),79(7)])].

70938 x \ (C * (((x / y) / C) * y)) = a(x * y,x,C). [para(29248(a,1),1991(a,1,2,2)),rewrite([51944(4),32573(9),21699(7),11(4),50382(6),79(2)

,67105(5),21699(6),51470(6)])].

70990 a(x,C,y / (C * C)) = a(x,y,0 / C). [para(743(a,1),1992(a,1,1,2)),rewrite([56470(10),36454(7),36496(7)]),flip(a)].

71024 a(C,x / C,y / C) = 0 / a(x,y,0 / C). [back_rewrite(54294),rewrite([70990(7)]),flip(a)].

71240 a(C * C,x,y * x) = a(C * x,C,y). [para(56(a,1),1998(a,1,1,2)),rewrite([55(12),32137(13),13607(7),12498(10),32137(8),12862(3),12498(7),

21699(5),79(7),50828(7)]),flip(a)].

71249 a(C * C,x,y / C) = 0 / a(C,x,y). [para(365(a,1),1998(a,1,2)),rewrite([31718(7),29524(8),52(8),32223(7)]),flip(a)].

71261 a(C * C,C * (x * C),y) = a(x,C,y). [para(619(a,1),1998(a,1,2,1)),rewrite([13(7),37(18),48783(19),13216(12),12498(16),32572(14),55893(1

1),27(9),7(8),1992(8),52(6)]),flip(a)].

71419 a(x / y,C,y / C) = a(x * y,x,C). [para(12(a,1),1999(a,1,1)),rewrite([70938(7)]),flip(a)].

71423 a(x,C,(y * x) / C) = a(x * y,x,C). [para(56(a,2),1999(a,1,2,2)),rewrite([16(4,R),52(4),47608(10),13419(11),32573(9),21699(7),11(4),671

05(5),21699(6),51470(6),70938(7),16(8,R),52(8)]),flip(a)].

71443 a(x,C,y / C) \ z = a(C,x / C,y) * z. [para(1999(a,1),33139(a,1,1)),rewrite([2000(12)])].

71447 x / a(y,C,z / C) = x * a(C,y / C,z). [para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].

71456 a(x,C,(C * y) * x) = a(C * x,C,y). [para(621(a,2),1999(a,1,1)),rewrite([44834(16),32572(13),32082(10),52(7),32137(7),12862(2),12498(6)

,21699(4),50828(7),55893(12),16(11,R),52(11)]),flip(a)].

71560 x \ (C * ((x / y) * (y / C))) = a(x / C,y,x). [para(56(a,1),2000(a,1,1)),rewrite([16(6,R),52(6),44596(4),32137(9),12862(4),31520(4),7(

4),69328(6),52538(14)])].

71567 a(C,x / C,(y * (C / x)) * x) = a(x,y,C). [para(358(a,1),2000(a,1,1,2)),rewrite([44767(7),31520(6),52(10),31689(8),16(6,R),1991(7),3152

0(8),52(12)]),flip(a)].

71574 a(C,x / C,C * y) = a(C * x,y,C). [para(619(a,1),2000(a,1,1)),rewrite([52605(8),52(6),32572(11),44781(8),67105(7),31718(8),70923(7),708

63(12)]),flip(a)].

71584 a(C * x,y * x,C) = a(x / C,y,x). [para(656(a,1),2000(a,1,1)),rewrite([306(9,R),16(8,R),52(8),44590(8),27(4),8(3),52(9),32137(9),12862(

4),12498(8),32137(6),79(6),69326(6),32699(5),71560(7),52(11),71574(10)]),flip(a)].

71730 a(C,C * (x * C),y) = a(C,x,y). [para(619(a,1),2001(a,1,2,1)),rewrite([16(7,R),35340(8),43619(7),37(18),48783(19),57243(12),12498(16),3

2572(14),55893(11),27(9),7(8),64(8),52(6),68025(10)]),flip(a)].

71739 a(C,C * x,C * y) = a(x,y / C,C). [para(2001(a,1),1374(a,1)),rewrite([43590(12),43619(20),48783(21),13216(16),12498(18),32572(16),56439

(13),70331(14),52(14)])].

71877 a(C * (C * (C * x)),y,z) = a(x,y,z). [para(55(a,1),2002(a,1,1,1)),rewrite([36747(8),42338(7),55(15),43619(14),55(16),43619(15),48783(1

7),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71878 a(C * (x * (C * C)),y,z) = a(x,y,z). [para(56(a,2),2002(a,1,2,1,1)),rewrite([16(6,R),36747(8),42338(7),35340(15),43619(14),55(16),4361

9(15),48783(17),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71884 a(C,x,C * y) = a(C,x,y). [para(1257(a,2),2002(a,1,2,1,1)),rewrite([16(13,R),450(15),450(29),55(30),43619(29),55(27),43619(26),48783(31

),57243(18),52986(28),29065(19),57243(17),52986(23),29065(18),57243(16),12498(18),32572(16),56439(13),32137(14),13216(9),12498(11),32137(9),7

9(10),32973(12),743(13),52(10),50819(7),71877(18),71878(12)])].

71949 a(C,C * x,y) = a(x,y / C,C). [back_rewrite(71739),rewrite([71884(6)])].

71950 a(C * x,y,C) = a(C,x / C,y). [back_rewrite(71574),rewrite([71884(6)]),flip(a)].

71965 a(C,x,y * C) = a(C,x,y). [back_rewrite(70863),rewrite([71884(6),71884(8)])].

72052 a(C,x / C,y * x) = a(x / C,y,x). [back_rewrite(71584),rewrite([71950(5)])].

72078 a(C,x / (C * y),y) = a(C,x / y,y). [back_rewrite(70848),rewrite([71965(7)])].

72083 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(51476),rewrite([71965(5)]),flip(a)].

72085 a(C,x / C,y) = a(x,y,C). [back_rewrite(71567),rewrite([72052(8),49558(6)])].

72100 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71261),rewrite([72083(8),71730(7)])].

72102 a(x,C,y / C) = a(x,C,y). [back_rewrite(71249),rewrite([72083(6),72100(6),72100(8)])].

72103 a(C * x,C,y) = a(x,C,y * x). [back_rewrite(71240),rewrite([72083(5),72100(5)]),flip(a)].

72107 a(C * x,C,y) = a(x,C,y). [back_rewrite(70582),rewrite([72083(4),72100(4)]),flip(a)].

72140 a(x / C,y,x) = a(x,y * x,C). [back_rewrite(72052),rewrite([72085(5)]),flip(a)].

72190 x / a(y,C,z) = x * a(y,z,C). [back_rewrite(71447),rewrite([72102(4),72085(7)])].

72194 a(x,C,y) \ z = a(x,y,C) * z. [back_rewrite(71443),rewrite([72102(4),72085(7)])].

72199 0 / a(x,y,0 / C) = a(x,y / C,C). [back_rewrite(71024),rewrite([72085(6)]),flip(a)].

72203 a(x,C,y) * a(x,y,C) = 0. [back_rewrite(70134),rewrite([72102(4),72085(6)])].

72217 a(x,(y * (C / x)) * x,C) = a(x,y,C). [back_rewrite(49558),rewrite([72140(6),72085(10)])].

72256 a(x * y,x,C) = a(x,C,y * x). [back_rewrite(71423),rewrite([72102(5)]),flip(a)].

72258 a(x / y,C,y) = a(x,C,y * x). [back_rewrite(71419),rewrite([72102(5),72256(6)])].

72259 a(x,C,((y / x) / C) * x) = a(x,C,y). [back_rewrite(70593),rewrite([72256(6),72102(10)])].

72264 a(x,y / (C * C),C * C) = a(x,C,y). [back_rewrite(51381),rewrite([72102(12)])].

72305 a(x,C,y * x) = a(x,C,y). [back_rewrite(72103),rewrite([72107(4)]),flip(a)].

72311 a(x,C,C * y) = a(x,C,y). [back_rewrite(71456),rewrite([72305(5),72107(8)])].

72399 a(C,(x / C) / y,y) = a(x,y * x,C). [back_rewrite(70360),rewrite([72140(3)]),flip(a)].

72407 a(x * C,y / C,C) = a(x,y,C). [back_rewrite(70356),rewrite([72190(10),7(10)])].

72453 a(x,C,y / x) = a(x,C,y). [back_rewrite(72259),rewrite([72305(6),72102(5)])].

72454 a(x / y,C,y) = a(x,C,y). [back_rewrite(72258),rewrite([72305(6)])].

72455 a(x * y,x,C) = a(x,C,y). [back_rewrite(72256),rewrite([72305(6)])].

72534 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72311(4)]),flip(a)].

72588 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72264),rewrite([72534(8),70990(6)])].

72613 a(x,y / C,C) = a(x,y,C). [back_rewrite(72199),rewrite([72588(5),72190(4),7(4)]),flip(a)].

72659 a(x * C,y,C) = a(x,y,C). [back_rewrite(72407),rewrite([72613(6)])].

72661 a(C,C * x,y) = a(x,y,C). [back_rewrite(71949),rewrite([72613(8)])].

72700 a(C,x,y) = a(x,y,C). [back_rewrite(71730),rewrite([72661(6),72659(4)]),flip(a)].

72789 a(C,x * y,x) = a(x,C,y). [back_rewrite(72455),rewrite([72700(3,R)])].

72827 a(C,(x / C) / y,y) = a(C,x / y,y). [back_rewrite(70332),rewrite([72700(5,R),72078(5)]),flip(a)].

72939 a(C,c6,A) * (a(C,c6,A) * a(C,c6,A)) != 0. [back_rewrite(23),rewrite([72700(4,R),72700(8,R),72700(12,R)])].

72969 a(C,x / y,y) = a(x,y * x,C). [back_rewrite(72399),rewrite([72827(5)])].

72974 (C * (x * y)) * a(x,y,C) = (C * x) * y. [para(72700(a,1),18(a,1,2))].

72990 a(x,y * x,C) = a(x,y,x * C). [para(72700(a,1),49557(a,1))].

73056 a(C,x / y,y) = a(x,y,x * C). [back_rewrite(72969),rewrite([72990(6)])].

73058 a(x,y * (C / x),x * C) = a(x,y,C). [back_rewrite(72217),rewrite([72990(6)])].

73455 x / a(C,y,z) = x * a(y,C,z). [para(72100(a,1),29065(a,1,2)),flip(a)].

73469 0 / (x * a(C,y,z)) = a(y,C,z) / x. [para(72100(a,1),31519(a,1,1)),flip(a)].

73742 0 / (a(x,C,y) * a(x,C,y)) = a(x,y,C) * a(x,y,C). [para(72203(a,1),12863(a,1,2,2)),rewrite([8(6),72190(5)]),flip(a)].

74021 a(x,C,y) * a(x,y / x,C) = 0. [para(72453(a,1),72203(a,1,1))].

74047 a(x * (y \ z),C,z \ y) = a(x,C,z \ y). [para(33166(a,1),72454(a,1,1))].

74109 a(x * (C / y),C,y) = a(x,C,y). [para(72454(a,1),72102(a,1)),rewrite([72102(4),31520(5)]),flip(a)].

74199 a(x,C,x \ y) = a(C,y,x). [para(9(a,1),72789(a,1,2)),flip(a)].

74200 a(C,x,x / y) = a(x,C,y). [para(12(a,1),72789(a,1,2)),rewrite([72454(6)])].

74224 a(C,x,x * (y \ z)) = a(x,C,z \ y). [para(33183(a,1),72789(a,1,2)),rewrite([74047(9)])].

74228 a(C,x / y,y) = a(C,x,y). [para(35448(a,1),72789(a,1,2)),rewrite([72453(7),74199(6)])].

74274 a(x,x / y,x * C) = a(C,y,x). [back_rewrite(52574),rewrite([74224(4),74199(3)]),flip(a)].

74279 a(x,y,x * C) = a(C,x,y). [back_rewrite(73056),rewrite([74228(3)]),flip(a)].

74302 a(C,x,y) = a(y,C,x). [back_rewrite(74274),rewrite([74279(4),74200(3)]),flip(a)].

74306 a(C,x,y * (C / x)) = a(x,y,C). [back_rewrite(73058),rewrite([74279(6)])].

74414 a(x,C,y) = a(y,x,C). [back_rewrite(74109),rewrite([74302(5,R),74306(5)]),flip(a)].

74551 a(A,C,c6) * (a(A,C,c6) * a(A,C,c6)) != 0. [back_rewrite(72939),rewrite([74302(4),74302(8),74302(12)])].

74555 a(x,y / x,C) = a(y,C,x). [back_rewrite(72454),rewrite([74414(3)])].

74701 a(x,C,y) * a(y,C,x) = 0. [back_rewrite(74021),rewrite([74555(5)])].

74855 a(C,x,y) * a(y,x,C) = 0. [para(74302(a,2),72203(a,1,1))].

76571 a(x,y,C) * a(y,C,x) = a(x,y,C) * a(x,y,C). [para(74701(a,1),13644(a,1,2)),rewrite([72194(5),28(7),73742(12)])].

76823 a(x,C,y) * a(x,C,y) = a(y,x,C) * a(x,C,y). [para(74855(a,1),12863(a,1,2,2)),rewrite([8(6),73455(5),73469(12),73455(10)]),flip(a)].

163954 a(x,y,C) * a(x,y,C) = a(x,C,y). [para(13631(a,1),33012(a,1,1)),rewrite([72974(11),12498(9),1992(7)]),flip(a)].

163960 a(x,y,C) * a(y,C,x) = a(x,C,y). [back_rewrite(76571),rewrite([163954(10)])].

163964 a(x,C,y) * a(x,C,y) = a(y,C,x). [back_rewrite(76823),rewrite([163960(10)])].

163973 $F. [back_rewrite(74551),rewrite([163964(13),74414(8),72203(9)]),xx(a)].

============================== end of proof ==========================

============================== PROOF =================================

% Proof 5 at 345.59 (+ 1.77) seconds.

% Length of proof is 690.

% Level of proof is 61.

% Maximum clause weight is 39.000.

% Given clauses 6302.

4 a(A,C,x) * (a(A,C,x) * a(A,C,x)) = 0 # label(non_clause) # label(goal). [goal].

7 0 * x = x. [assumption].

8 x * 0 = x. [assumption].

9 x * (x \ y) = y. [assumption].

10 x \ (x * y) = y. [assumption].

11 (x * y) / y = x. [assumption].

12 (x / y) * y = x. [assumption].

13 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

14 x * ((y * A) * x) = (x * y) * (A * x). [assumption].

15 (x * y) * (A * x) = x * ((y * A) * x). [copy(14),flip(a)].

16 C * x = x * C. [assumption].

17 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

18 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(17),flip(a)].

22 a(A,C,c5) * (a(A,C,c5) * a(A,C,c5)) != 0. [deny(4)].

26 x \ x = 0. [para(8(a,1),10(a,1,2))].

27 x / x = 0. [para(7(a,1),11(a,1,1))].

28 x / 0 = x. [para(8(a,1),11(a,1,1))].

29 x / (y \ x) = y. [para(9(a,1),11(a,1,1))].

30 (x / y) \ x = y. [para(12(a,1),10(a,1,2))].

31 (x * x) * y = x * (x * y). [para(7(a,1),13(a,1,1,2)),rewrite([7(5)])].

33 (x \ y) * (x * ((x \ y) * z)) = ((x \ y) * y) * z. [para(9(a,1),13(a,1,1,2)),flip(a)].

34 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(13(a,1),10(a,1,2))].

35 (x * (y * (x * z))) / z = x * (y * x). [para(13(a,1),11(a,1,1))].

36 x * ((y / x) * (x * z)) = (x * y) * z. [para(12(a,1),13(a,1,1,2)),flip(a)].

37 (x * (y * (z * (y * x)))) * u = x * (y * (z * (y * (x * u)))). [para(13(a,1),13(a,1,1,2)),rewrite([13(9)])].

39 x * (((x \ y) * A) * x) = y * (A * x). [para(9(a,1),15(a,1,1)),flip(a)].

42 (x * ((y * A) * x)) / (A * x) = x * y. [para(15(a,1),11(a,1,1))].

43 (x / y) * ((y * A) * (x / y)) = x * (A * (x / y)). [para(12(a,1),15(a,1,1)),flip(a)].

48 C \ (x * C) = x. [para(16(a,1),10(a,1,2))].

49 x \ (C * x) = C. [para(16(a,2),10(a,1,2))].

50 (x * C) / x = C. [para(16(a,1),11(a,1,1))].

51 (C * x) / C = x. [para(16(a,2),11(a,1,1))].

52 C * (x / C) = x. [para(16(a,2),12(a,1))].

53 (x * (x * C)) * y = x * (C * (x * y)). [para(16(a,1),13(a,1,1,2))].

54 C * (x * (C * y)) = C * (x * (y * C)). [para(16(a,1),13(a,2,2,2)),rewrite([13(5)])].

55 (C * (C * x)) * y = C * (x * (C * y)). [para(16(a,2),13(a,1,1,2))].

56 C * (x * (y * x)) = x * (y * (x * C)). [para(16(a,2),13(a,1))].

57 C * (x * (y * x)) = x * (y * (C * x)). [para(16(a,2),13(a,2,2,2)),rewrite([16(4,R)])].

59 (C * x) * (A * x) = x * ((A * C) * x). [para(16(a,2),15(a,1,1)),rewrite([16(8)])].

63 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(9(a,1),18(a,1,1,2))].

64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(18(a,1),10(a,1,2))].

66 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(12(a,1),18(a,1,1,2))].

67 x * a(x / (y * z),y,z) = ((x / (y * z)) * y) * z. [para(12(a,1),18(a,1,1))].

71 (x * (y * (x * (z * u)))) * a(x * (y * x),z,u) = (x * (y * (x * z))) * u. [para(13(a,1),18(a,1,1)),rewrite([13(11)])].

76 (C * x) * y = (x * C) * y. [para(16(a,1),18(a,2,1)),rewrite([18(6)])].

77 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(16(a,2),18(a,1,1,2)),rewrite([16(9,R)])].

79 C \ x = x / C. [para(12(a,1),48(a,1,2))].

82 x * (x * ((x * x) \ y)) = y. [para(31(a,1),9(a,1))].

84 (x * (x * y)) / y = x * x. [para(31(a,1),11(a,1,1))].

85 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(31(a,1),13(a,1,1,2)),rewrite([31(7)])].

89 C * (x * x) = x * (x * C). [para(31(a,1),16(a,2))].

90 C * (C * x) = C * (x * C). [para(16(a,1),31(a,2,2)),rewrite([31(4)])].

91 C * (x * x) = x * (C * x). [para(16(a,2),31(a,2,2)),rewrite([16(3,R)])].

93 (x * (x * (y * z))) * a(x * x,y,z) = (x * (x * y)) * z. [para(31(a,1),18(a,1,1)),rewrite([31(8)])].

96 (x / C) * (C * ((x / C) * y)) = ((x / C) * x) * y. [para(52(a,1),13(a,1,1,2)),flip(a)].

97 C * (C * ((x / C) * A)) = x * (A * C). [para(52(a,1),15(a,1,1)),rewrite([16(11,R)]),flip(a)].

98 (x * y) * a(x,C,y / C) = (x * C) * (y / C). [para(52(a,1),18(a,1,1,2))].

99 (x * C) * ((C * x) \ y) = y. [para(76(a,1),9(a,1))].

101 (C * x) \ ((x * C) * y) = y. [para(76(a,1),10(a,1,2))].

102 (x * C) \ ((C * x) * y) = y. [para(76(a,2),10(a,1,2))].

114 ((C * x) * y) * z = ((x * C) * y) * z. [para(76(a,1),18(a,2,1)),rewrite([18(8)])].

115 (x * ((C * y) * z)) * a(x,y * C,z) = (x * (y * C)) * z. [para(76(a,2),18(a,1,1,2))].

117 (C * (x * C)) / (C * x) = C. [para(76(a,1),50(a,1,1)),rewrite([16(4,R)])].

119 ((x * C) * (C * x)) * y = (C * x) * ((C * x) * y). [para(76(a,1),31(a,1,1))].

121 ((C * x) * (x * C)) * y = (x * C) * ((x * C) * y). [para(76(a,2),31(a,1,1))].

138 x * ((x * x) \ y) = x \ y. [para(82(a,1),10(a,1,2)),flip(a)].

140 x * a(y,y,(y * y) \ x) = x. [para(82(a,1),18(a,1,1)),rewrite([9(8)])].

153 (x * y) / (x \ y) = x * x. [para(9(a,1),84(a,1,1,2))].

154 ((x / y) * x) / y = (x / y) * (x / y). [para(12(a,1),84(a,1,1,2))].

156 ((x * y) * (x * ((y * A) * x))) / (A * x) = (x * y) * (x * y). [para(15(a,1),84(a,1,1,2))].

158 (C * (x * C)) / x = C * C. [para(16(a,1),84(a,1,1,2))].

159 (x * (C * x)) / C = x * x. [para(16(a,2),84(a,1,1,2))].

166 x \ (C * (x * x)) = x * C. [para(89(a,2),10(a,1,2))].

196 (x * ((x \ y) * z)) * ((x \ y) * ((x * ((x \ y) * z)) * u)) = ((x * ((x \ y) * z)) * (((x \ y) * y) * z)) * u. [para(33(a,1),13(a,1,1,2)

),flip(a)].

197 ((x * (y * x)) \ z) * (x * (y * (x * (((x * (y * x)) \ z) * u)))) = (((x * (y * x)) \ z) * z) * u. [para(13(a,1),33(a,1,2))].

199 (x \ y) * (x * (C * (x \ y))) = C * ((x \ y) * y). [para(16(a,2),33(a,1,2,2)),rewrite([16(10,R)])].

220 (x / C) * (C * x) = C * ((x / C) * x). [para(90(a,2),33(a,1,2)),rewrite([79(2),79(6),52(7),79(7),16(10,R)])].

245 (C * x) \ y = (x * C) \ y. [para(99(a,1),10(a,1,2)),flip(a)].

251 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(9(a,1),34(a,1,2,2,2))].

282 (C * x) \ (x * C) = 0. [para(8(a,1),101(a,1,2))].

287 (C * (x * x)) \ (x * (x * C)) = 0. [para(31(a,1),282(a,1,2))].

288 (C * (C * x)) \ (C * (x * C)) = 0. [para(76(a,1),282(a,1,2)),rewrite([16(8,R)])].

292 (x * C) \ (C * x) = 0. [para(8(a,1),102(a,1,2))].

296 (x * (y * z)) / (x \ z) = x * (y * x). [para(9(a,1),35(a,1,1,2,2))].

297 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(12(a,1),35(a,1,1,2,2))].

298 x * ((y / (x * z)) * x) = (x * y) / z. [para(12(a,1),35(a,1,1,2)),flip(a)].

300 (x * (y * (z * (y * (x * u))))) / u = x * (y * (z * (y * x))). [para(13(a,1),35(a,1,1,2)),rewrite([13(9)])].

301 ((x * y) * (z * (x * ((y * A) * x)))) / (A * x) = (x * y) * (z * (x * y)). [para(15(a,1),35(a,1,1,2,2))].

302 (A * (x * ((y * A) * x))) / x = A * ((x * y) * A). [para(15(a,1),35(a,1,1,2))].

306 C * (x * C) = x * (C * C). [para(35(a,1),51(a,1))].

311 ((x * C) * (y * ((C * x) * z))) / z = (C * x) * (y * (C * x)). [para(76(a,1),35(a,1,1))].

312 (C * x) * (y * (C * x)) = (x * C) * (y * (x * C)). [para(76(a,2),35(a,1,1,2,2)),rewrite([311(8)])].

339 (x * x) \ y = x \ (x \ y). [para(138(a,1),10(a,1,2)),flip(a)].

345 x / (y \ (y \ x)) = y * y. [para(138(a,1),84(a,1,1,2)),rewrite([9(2),339(2)])].

347 x * a(y,y,y \ (y \ x)) = x. [back_rewrite(140),rewrite([339(2)])].

348 (x * y) * (x \ z) = x * ((y / x) * z). [para(9(a,1),36(a,1,2,2)),flip(a)].

349 x \ ((x * y) * z) = (y / x) * (x * z). [para(36(a,1),10(a,1,2))].

350 ((x * y) * z) / ((y / x) * (x * z)) = x. [para(36(a,1),11(a,1,1))].

351 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) * y. [para(12(a,1),36(a,1,2,2))].

358 x * ((y / x) * (C * x)) = C * (x * y). [para(16(a,2),36(a,1,2,2)),rewrite([16(8,R)])].

360 ((x * y) * z) * a(x,y / x,x * z) = (x * (y / x)) * (x * z). [para(36(a,1),18(a,1,1))].

363 ((C * x) * y) / C = (x / C) * (C * y). [para(36(a,1),51(a,1,1))].

365 (C * x) * (y / C) = C * ((x / C) * y). [para(52(a,1),36(a,1,2,2)),flip(a)].

379 ((x * C) * y) * ((C * x) \ z) = (x * C) * ((y / (x * C)) * z). [para(99(a,1),36(a,1,2,2)),flip(a)].

381 (C * x) \ (((x * C) * y) * z) = (y / (x * C)) * ((x * C) * z). [para(36(a,1),101(a,1,2))].

382 (x * C) \ (((C * x) * y) * z) = (y / (C * x)) * ((C * x) * z). [para(36(a,1),102(a,1,2))].

385 (x * y) * ((z / x) * (x * u)) = x * ((y / x) * ((x * z) * u)). [para(36(a,1),36(a,1,2,2)),flip(a)].

386 x / (x \ 0) = x * x. [para(8(a,1),153(a,1,1))].

391 (x * C) / (x / C) = C * C. [para(16(a,1),153(a,1,1)),rewrite([79(4)])].

392 (C * x) / (x \ C) = x * x. [para(16(a,2),153(a,1,1))].

405 (0 / x) * (0 / x) = (0 / x) / x. [para(30(a,1),386(a,1,2)),flip(a)].

409 (x * (C * (x * C))) * y = x * (C * (C * (x * y))). [para(158(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

421 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (x * C)))). [para(37(a,1),16(a,2))].

425 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (C * x)))). [para(16(a,2),37(a,2,2,2,2,2)),rewrite([16(6,R)])].

428 x * (y * (z * (y * (x * a(x,y,z * (y * x)))))) = (x * y) * (z * (y * x)). [para(37(a,1),18(a,1))].

432 (x * (y * (z * (z * (y * x))))) * u = x * (y * (z * (z * (y * (x * u))))). [para(31(a,1),37(a,1,1,2,2)),rewrite([31(10)])].

450 (x * (x * (C * (y * (x * (x * C)))))) * z = x * (x * (C * (y * (C * (x * (x * z)))))). [para(89(a,1),37(a,1,1,2,2,2)),rewrite([31(8),31(

14),31(18)])].

474 ((C * x) \ y) * ((x * C) * (z * ((x * C) * (((C * x) \ y) * u)))) = (((C * x) \ y) * ((x * C) * (z * y))) * u. [para(99(a,1),37(a,1,1,2,

2,2)),flip(a)].

498 (C * (x * (C * x))) * y = C * (x * (x * (C * y))). [para(159(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].

612 (x * (C * C)) / C = x * C. [para(306(a,1),10(a,1,2)),rewrite([79(6)])].

613 x \ (C * (x * C)) = C * C. [para(306(a,2),10(a,1,2))].

615 (C * (x * C)) / (C * C) = x. [para(306(a,2),11(a,1,1))].

618 (x * (C * C)) * y = C * (x * (C * y)). [para(306(a,1),13(a,1,1))].

619 C * (x * (C * (y * C))) = C * (x * (y * (C * C))). [para(306(a,1),13(a,2,2,2)),rewrite([13(7)])].

620 C * (x * (C * x)) = x * (x * (C * C)). [para(306(a,1),13(a,2,2)),rewrite([16(5,R)])].

621 C * (C * (x * (y * x))) = x * (y * (x * (C * C))). [para(306(a,2),13(a,1)),rewrite([16(5,R)])].

622 C * (C * (x * (y * x))) = x * (y * (C * (x * C))). [para(306(a,2),13(a,2,2,2)),rewrite([306(6,R),16(5,R)])].

625 C * (C * x) = x * (C * C). [para(16(a,2),306(a,1,2))].

626 (x * (y * (C * C))) * a(x,C,y * C) = (x * C) * (y * C). [para(306(a,1),18(a,1,1,2))].

630 C * (C * (x * x)) = x * (x * (C * C)). [para(306(a,2),31(a,1)),rewrite([16(4,R)])].

645 (x * (C * C)) / (C * x) = C. [para(306(a,1),117(a,1,1))].

649 (x * (C * C)) / x = C * C. [para(306(a,1),153(a,1,1)),rewrite([79(8),11(8)])].

656 C * (x * (C * (y * (C * x)))) = x * (C * (y * (x * (C * C)))). [para(306(a,1),37(a,2,2,2,2)),rewrite([16(8,R)])].

659 C * (C * (x * (y * (z * (y * x))))) = x * (y * (z * (y * (C * (x * C))))). [para(306(a,2),37(a,2,2,2,2,2)),rewrite([306(8,R),16(7,R)])].

669 (x * (x * (x * x))) \ y = x \ (x \ (x \ (x \ y))). [para(31(a,1),339(a,1,1)),rewrite([339(7),339(8)])].

722 (x * (y * x)) / (A * x) = x * (y / A). [para(12(a,1),42(a,1,1,2,1))].

725 (C * (C * (x * A))) / (A * C) = C * x. [para(16(a,1),42(a,1,1)),rewrite([16(4,R),16(6,R)])].

728 x * (C * y) = x * (y * C). [para(76(a,1),42(a,1,1,2,1)),rewrite([722(9),11(6)]),flip(a)].

743 C * (x / (C * C)) = x / C. [para(12(a,1),612(a,1,1)),rewrite([16(8,R)]),flip(a)].

747 (x / C) \ (C * x) = C * C. [para(12(a,1),613(a,1,2,2))].

782 (C * x) / (C * C) = x / C. [para(12(a,1),615(a,1,1,2))].

789 (x * (y * (C * C))) * a(x,C,C * y) = (x * C) * (C * y). [para(625(a,1),18(a,1,1,2))].

794 (C * x) * (x * (C * C)) = C * ((C * x) * (C * x)). [para(625(a,1),91(a,2,2)),flip(a)].

798 (x * (y * (C * (C * x)))) / (C * C) = x * (y * x). [para(625(a,2),35(a,1,1,2,2))].

877 (x * (y * C)) / (C * y) = x. [para(728(a,1),11(a,1,1))].

879 (x / (C * y)) * (y * C) = x. [para(728(a,1),12(a,1))].

880 (x / (y * C)) * (C * y) = x. [para(728(a,2),12(a,1))].

886 (x * (y * (z * C))) * a(x,y,C * z) = (x * y) * (C * z). [para(728(a,1),18(a,1,1,2))].

888 (x * (y * (C * z))) * a(x,y,z * C) = (x * y) * (z * C). [para(728(a,2),18(a,1,1,2))].

889 (C * x) * ((C * x) * y) = (x * C) * ((x * C) * y). [para(728(a,1),31(a,1,1)),rewrite([121(6)]),flip(a)].

891 x * (C * (y * y)) = x * (y * (y * C)). [para(31(a,1),728(a,2,2))].

892 (C * x) * (y * C) = (x * C) * (C * y). [para(728(a,1),76(a,1))].

893 (C * x) * (C * y) = (x * C) * (y * C). [para(728(a,1),76(a,2))].

897 x * (C * (y * y)) = x * (y * (C * y)). [para(91(a,1),728(a,1,2)),rewrite([16(7,R)]),flip(a)].

902 (x * (y * (x * (C * z)))) / (z * C) = x * (y * x). [para(728(a,2),35(a,1,1,2,2))].

916 x * (C * (y * C)) = x * (y * (C * C)). [para(306(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

920 x * (C * (C * y)) = x * (y * (C * C)). [para(625(a,1),728(a,1,2)),rewrite([16(9,R)]),flip(a)].

969 (x / C) / C = x / (C * C). [para(743(a,1),10(a,1,2)),rewrite([79(4)])].

973 (x * (y / C)) * a(x,C,y / (C * C)) = (x * C) * (y / (C * C)). [para(743(a,1),18(a,1,1,2))].

974 (x / (C * C)) \ (x / C) = C. [para(743(a,1),49(a,1,2))].

977 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(743(a,1),36(a,1,2,2)),flip(a)].

987 (0 / C) \ C = C * C. [para(8(a,1),747(a,1,2))].

1096 (x * C) / (C * C) = x / C. [para(16(a,1),782(a,1,1))].

1101 (x / (C * C)) / C = (x / C) / (C * C). [para(743(a,1),782(a,1,1)),flip(a)].

1224 (x * C) * ((y / (C * x)) * ((x * C) * z)) = ((x * C) * y) * z. [para(879(a,1),13(a,1,1,2)),flip(a)].

1228 x * a(x / (C * y),y,C) = C * ((x / (C * y)) * y). [para(879(a,1),18(a,1,1)),rewrite([16(12,R)])].

1229 (x / (C * (y * y))) * (y * (y * C)) = x. [para(31(a,1),879(a,1,2))].

1236 x * ((y / (C * x)) * x) = (x * y) / C. [para(879(a,1),35(a,1,1,2)),flip(a)].

1255 C * (x * (x * (C * y))) = x * (C * (C * (x * y))). [para(53(a,1),76(a,2,1)),rewrite([85(6),409(12)])].

1257 C * (x * (C * (x * (x * (x * C))))) = x * (C * (x * (x * (C * (x * C))))). [para(53(a,1),89(a,2,2)),rewrite([53(8),53(18)])].

1268 (x * (C * (x * C))) \ (C * (x * (x * C))) = 0. [para(53(a,1),292(a,1,1))].

1374 (C * (x * (C * y))) \ z = (C * (x * (y * C))) \ z. [para(54(a,1),245(a,1,1)),rewrite([16(11,R)]),flip(a)].

1486 C * ((x / C) * (y * (x / C))) = (x / C) * (y * x). [para(12(a,1),56(a,2,2,2))].

1498 (x * (C * (y * (z * y)))) * a(x,y,z * (y * C)) = (x * y) * (z * (y * C)). [para(56(a,2),18(a,1,1,2))].

1500 (x * y) * (z * (C * (x * y))) = C * ((x * y) * (z * (x * y))). [para(56(a,2),18(a,2)),rewrite([16(3,R),16(9,R),18(12)])].

1585 a(x,x,x \ (x \ y)) = 0. [para(347(a,1),10(a,1,2)),rewrite([26(1)]),flip(a)].

1607 a(x,x,x \ y) = 0. [para(10(a,1),1585(a,1,3,2))].

1639 (x * (y * (C * x))) \ ((C * (x * (y * x))) * z) = z. [para(57(a,1),101(a,1,1)),rewrite([16(8,R)])].

1698 (x / (y * (z * (C * y)))) * (C * (y * (z * y))) = x. [para(57(a,1),879(a,1,1,2)),rewrite([16(9,R)])].

1709 a(x,x,y) = 0. [para(10(a,1),1607(a,1,3))].

1727 (C * (C * (x * (C * (C * (C * x)))))) \ (C * (x * (C * (C * (C * (C * x)))))) = 0. [para(55(a,1),287(a,1,2)),rewrite([55(10),16(19,R)])

].

1734 (C * (C * (x * (x * C)))) \ (C * (x * (C * (x * C)))) = 0. [para(53(a,1),288(a,1,2,2))].

1820 (0 / x) \ ((0 / x) / x) = 0 / x. [para(405(a,1),10(a,1,2))].

1824 (x * ((0 / y) / y)) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [para(405(a,1),18(a,1,1,2))].

1869 (C * x) * (x \ y) = x * ((C / x) * y). [para(16(a,1),63(a,2,1)),rewrite([63(6),348(8)])].

1871 (x * C) * (y / C) = C * ((x / C) * y). [para(16(a,2),63(a,2,1)),rewrite([79(4),98(6),79(9),365(10)])].

1907 (C * x) * ((C / (C * x)) * y) = C * (x * (C * ((C * x) \ y))). [para(625(a,1),63(a,2,1)),rewrite([63(10),1869(8),618(16)])].

1977 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(9(a,1),64(a,1,2,1))].

1979 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(12(a,1),64(a,1,1,2))].

1983 (x * (y * (x * (z * u)))) \ ((x * (y * (x * z))) * u) = a(x * (y * x),z,u). [para(13(a,1),64(a,1,1)),rewrite([13(7)])].

1990 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(16(a,1),64(a,1,2,1))].

1991 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(16(a,2),64(a,1,1,2)),rewrite([16(6,R)])].

1992 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(16(a,2),64(a,1,2,1))].

1998 (x * (x * (y * z))) \ ((x * (x * y)) * z) = a(x * x,y,z). [para(31(a,1),64(a,1,1)),rewrite([31(5)])].

1999 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(52(a,1),64(a,1,1,2)),rewrite([1871(6)])].

2000 (C * ((x / C) * y)) \ (x * y) = a(C,x / C,y). [para(52(a,1),64(a,1,2,1))].

2001 (x * ((y * C) * z)) \ ((x * (C * y)) * z) = a(x,C * y,z). [para(76(a,1),64(a,1,1,2))].

2002 ((x * C) * (y * z)) \ (((C * x) * y) * z) = a(C * x,y,z). [para(76(a,1),64(a,1,1))].

2004 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(76(a,2),64(a,1,1,2))].

2042 a(x,C * C,y) = a(x,C * y,C). [para(306(a,2),64(a,1,2,1)),rewrite([31(4),13(10),1991(11)]),flip(a)].

2043 (x * (y * (C * C))) \ (C * (C * (x * y))) = a(x,y,C * C). [para(306(a,2),64(a,1,2)),rewrite([16(9,R)])].

2048 (x * (y * (C * C))) \ ((x * C) * (C * y)) = a(x,C,C * y). [para(625(a,1),64(a,1,1,2))].

2054 a(x,C * y,z) = a(x,y * C,z). [para(728(a,1),64(a,1,2,1)),rewrite([2004(9)]),flip(a)].

2063 x \ (C * ((x / (C * y)) * y)) = a(x / (C * y),y,C). [para(879(a,1),64(a,1,1)),rewrite([16(6,R)])].

2097 (x * ((0 / y) / y)) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [para(405(a,1),64(a,1,1,2))].

2101 a(x,x * C,C) = 0. [back_rewrite(1268),rewrite([1991(11)])].

2103 a(x / C,x,C) = 0. [para(12(a,1),2101(a,1,2))].

2319 C * ((x / (C * y)) * y) = C * ((x / (y * C)) * y). [para(16(a,2),67(a,1,2,1,2)),rewrite([1228(6),16(12,R)])].

2371 C * (C * ((x / (C * (C * y))) * y)) = C * (C * ((x / (y * (C * C))) * y)). [para(625(a,2),67(a,2,1,1,2)),rewrite([67(10),306(10,R),16(9

,R),306(20,R),16(19,R)]),flip(a)].

2377 x * a(x / (y * (C * z)),y,z * C) = ((x / (y * (z * C))) * y) * (z * C). [para(728(a,2),67(a,1,2,1,2))].

2604 (0 / C) \ (0 / (C * C)) = 0 / C. [para(969(a,1),1820(a,1,2))].

3002 a(x,C * C,x) = 0. [para(2042(a,2),2103(a,1)),rewrite([51(4)])].

3032 (x / (C * C)) * x = x * (x / (C * C)). [para(3002(a,1),63(a,1,2)),rewrite([339(4),79(3),79(4),969(4),8(7),339(9),79(8),79(9),969(9),306

(13,R),16(12,R),743(12),52(9),339(9),79(8),79(9),969(9)])].

4520 (C * (C * (x * y))) \ (C * (x * (C * y))) = a(C * C,x,y). [para(93(a,1),102(a,1,2)),rewrite([16(5,R),55(10)])].

4620 a(C * C,x,x * C) = 0. [back_rewrite(1734),rewrite([4520(15)])].

4621 a(C * C,x,C * (C * (C * x))) = 0. [back_rewrite(1727),rewrite([4520(23)])].

4625 a(C * C,x / C,x) = 0. [para(12(a,1),4620(a,1,3))].

4639 C * (C * ((x / C) * x)) = (C * x) * x. [para(4625(a,1),18(a,1,2)),rewrite([31(7),8(9),31(13),52(12)])].

4847 (x / C) * (C * (C * x)) = (C * x) * x. [para(306(a,2),96(a,1,2,2)),rewrite([16(8,R),52(8),306(14,R),16(13,R),4639(14)])].

5354 a(C * C,x / C,C * (C * x)) = 0. [para(9(a,1),4621(a,1,3,2,2)),rewrite([79(5)])].

5744 C * ((C * x) * (C * x)) = C * (C * ((C * x) * x)). [para(5354(a,1),18(a,1,2)),rewrite([4847(10),31(7),8(9),31(13),52(12),91(14,R)]),fli

p(a)].

5792 (C * x) * (x * (C * C)) = C * (C * ((C * x) * x)). [back_rewrite(794),rewrite([5744(14)])].

6372 ((x * C) * y) / C = (x / C) * (C * y). [para(114(a,1),1096(a,1,1)),rewrite([16(5,R),782(9),363(10)])].

8072 (C * x) * (C * (C * (x * A))) = C * (C * (((C * x) * x) * A)). [para(119(a,1),97(a,2)),rewrite([6372(9),4847(9),15(17),16(16,R)]),flip(

a)].

8405 (x * C) * (C * x) = C * ((C * x) * x). [para(16(a,1),156(a,2,1)),rewrite([16(7,R),8072(9),725(13)]),flip(a)].

8619 (C * ((C * x) * x)) * y = (C * x) * ((C * x) * y). [back_rewrite(119),rewrite([8405(5)])].

10744 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(9(a,1),251(a,1,2,2))].

10748 (x * (y * (x * (z * (x * (y * x)))))) \ (x * (y * (x * (z * u)))) = (x * (y * x)) \ u. [para(13(a,1),251(a,1,1)),rewrite([13(10)])].

10770 x \ (C * y) = x \ (y * C). [para(91(a,2),251(a,1,2,2)),rewrite([10744(7),166(4)]),flip(a)].

10806 (C * (x * (C * (y * (C * (C * x)))))) \ (C * (x * (C * (y * z)))) = (C * (C * x)) \ z. [para(55(a,1),251(a,1,1)),rewrite([55(16)])].

10907 x \ (C * (y * C)) = x \ (y * (C * C)). [para(306(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

10911 x \ (C * (C * y)) = x \ (y * (C * C)). [para(625(a,1),10770(a,1,2)),rewrite([16(9,R)]),flip(a)].

11483 (x * y) / (x \ z) = x * ((y / z) * x). [para(12(a,1),296(a,1,1,2))].

11512 ((0 / C) * (x * (0 / (C * C)))) / (0 / C) = (0 / C) * (x * (0 / C)). [para(2604(a,1),296(a,1,2))].

11593 x \ ((x * y) / z) = (y / (x * z)) * x. [para(298(a,1),10(a,1,2))].

11597 x * ((y / (x * z)) * (x * u)) = ((x * y) / z) * u. [para(298(a,1),13(a,1,1)),flip(a)].

11601 C * (C * (x / (C * y))) = (C * x) / y. [para(298(a,1),16(a,1)),rewrite([16(8,R),16(10,R)]),flip(a)].

11615 x * ((y / (C * (x * x))) * x) = (x * y) / (x * C). [para(89(a,2),298(a,1,2,1,2))].

11656 C * ((C * (x / (C * y))) * (C * z)) = (C * ((C * x) / y)) * z. [para(298(a,1),55(a,1,1,2)),rewrite([16(12,R)]),flip(a)].

11787 (x * y) / ((z / (x * u)) * x) = x * ((y / ((x * z) / u)) * x). [para(298(a,1),298(a,1,2,1,2)),flip(a)].

12050 x * ((0 / x) * y) = y. [para(8(a,1),348(a,1,1)),rewrite([9(2)]),flip(a)].

12083 C * (((C * x) * x) * (C * ((C * x) \ y))) = (C * x) * (C * y). [para(645(a,1),348(a,2,2,1)),rewrite([5792(7),55(11)])].

12086 (0 / C) * (C * (x / (0 / C))) = C * x. [para(987(a,1),348(a,1,2)),rewrite([306(8,R),16(7,R),12050(7),16(11,R)]),flip(a)].

12105 x * ((0 / x) / x) = 0 / x. [para(405(a,1),348(a,2,2)),rewrite([8(2),9(4)]),flip(a)].

12496 x * (0 / x) = 0. [para(8(a,1),12050(a,1,2))].

12497 (0 / x) \ y = x * y. [para(9(a,1),12050(a,1,2)),flip(a)].

12498 (0 / x) * y = x \ y. [para(12050(a,1),10(a,1,2)),flip(a)].

12503 (x \ y) / y = 0 / x. [para(12050(a,1),35(a,1,1,2)),rewrite([12498(3),12496(7),8(6)])].

12504 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(36(a,1),12050(a,1,2)),rewrite([12498(3),12498(9)]),flip(a)].

12505 (x * (y \ x)) * z = x * (y \ (x * z)). [para(12050(a,1),37(a,1,1,2,2)),rewrite([12498(3),12498(9),9(8),12498(7)])].

12513 x * (0 / C) = x / C. [para(12050(a,1),56(a,1)),rewrite([16(12,R),12496(12),8(9),12498(8),79(6)])].

12515 a(x,0 / x,y) = 0. [para(12050(a,1),64(a,1,1)),rewrite([12496(3),7(2),26(1)]),flip(a)].

12555 x / (0 / C) = C * x. [back_rewrite(12086),rewrite([12498(10),10(8)])].

12558 x * (0 / (C * C)) = x / (C * C). [back_rewrite(11512),rewrite([12498(10),79(8),12555(12),52(10),12513(13),12498(12),79(10),969(10)])].

12584 x \ (0 / x) = (0 / x) / x. [back_rewrite(405),rewrite([12498(5)])].

12620 x \ 0 = 0 / x. [para(12496(a,1),10(a,1,2))].

12628 (x * C) * (0 / (C * x)) = 0. [para(12496(a,1),76(a,1)),flip(a)].

12632 (x * y) / (0 / x) = x * (y * x). [para(12496(a,1),35(a,1,1,2,2)),rewrite([8(2)])].

12633 (x * y) * (0 / x) = x * (y / x). [para(12496(a,1),36(a,1,2,2)),rewrite([8(3)]),flip(a)].

12641 C * (0 / A) = C / A. [para(12496(a,1),59(a,1,2)),rewrite([8(7),12633(15),12498(14),10(12)])].

12643 (x / y) * (y * (0 / x)) = a(y,x,0 / x). [para(12496(a,1),64(a,1,1,2)),rewrite([8(2),349(5)])].

12697 (0 / x) / x = 0 / (x * x). [para(12620(a,1),339(a,1)),rewrite([12620(5),12584(6)]),flip(a)].

12715 x \ (0 / x) = 0 / (x * x). [back_rewrite(12584),rewrite([12697(6)])].

12732 x * (0 / (x * x)) = 0 / x. [back_rewrite(12105),rewrite([12697(3)])].

12756 (x * (0 / (y * y))) \ ((x * (0 / y)) * (0 / y)) = a(x,0 / y,0 / y). [back_rewrite(2097),rewrite([12697(3)])].

12760 (x * (0 / (y * y))) * a(x,0 / y,0 / y) = (x * (0 / y)) * (0 / y). [back_rewrite(1824),rewrite([12697(3)])].

12852 a(0 / x,x,y) = 0. [para(29(a,1),12515(a,1,2)),rewrite([12620(2)])].

12862 x / (y * x) = 0 / y. [para(12497(a,1),29(a,1,2))].

12863 x / (y * (y * x)) = 0 / (y * y). [para(12497(a,1),345(a,1,2,2)),rewrite([12497(4),12498(8),12715(6)])].

12868 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(12497(a,1),348(a,1,2)),rewrite([12498(3),12498(10)]),flip(a)].

12871 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(12498(a,1),13(a,1,1)),rewrite([12498(10),12498(10)])].

12873 C * (0 / x) = x \ C. [para(12498(a,1),16(a,2))].

12884 x \ (C * C) = C * (x \ C). [para(12498(a,1),306(a,2)),rewrite([16(5,R),12873(5)]),flip(a)].

12888 x * (C * (x \ C)) = C * C. [para(12498(a,1),613(a,1,2,2)),rewrite([12497(7)])].

12890 A * (0 / x) = A / x. [para(12498(a,1),43(a,1)),rewrite([12633(5),10(4),7(8)]),flip(a)].

12892 (x \ (y * C)) / (C * y) = 0 / x. [para(12498(a,1),877(a,1,1))].

12979 x * ((x * y) \ x) = x / y. [para(12498(a,1),298(a,1,2)),rewrite([8(5)])].

12990 A \ C = C / A. [back_rewrite(12641),rewrite([12873(5)])].

13215 0 / (x / y) = y / x. [para(30(a,1),12503(a,1,1)),flip(a)].

13216 C / (C * x) = 0 / x. [para(49(a,1),12503(a,1,1))].

13223 (C * C) / x = C / (x / C). [para(974(a,1),12503(a,1,1)),rewrite([13215(10)]),flip(a)].

13230 (C / A) / C = 0 / A. [para(12990(a,1),12503(a,1,1))].

13231 C * (x * (C * ((C * x) \ y))) = x * ((C / x) * y). [back_rewrite(1907),rewrite([13216(6),12498(5),1869(4)]),flip(a)].

13406 x \ (x / C) = 0 / C. [para(12513(a,1),10(a,1,2))].

13407 (x * (y / C)) / C = (x / (C * C)) * y. [para(12513(a,1),13(a,1,1,2)),rewrite([12498(6),79(4),969(4),12498(12),79(10),12498(12),79(10)]

),flip(a)].

13413 (x * x) / C = x * (x / C). [para(12513(a,1),31(a,1)),rewrite([12513(7)])].

13414 C * (x * (x / C)) = x * x. [para(12513(a,1),84(a,1,1,2)),rewrite([12555(7)])].

13419 C * (x * (y * (x / C))) = x * (y * x). [para(12513(a,1),35(a,1,1,2,2)),rewrite([12555(8)])].

13421 (x * (y * (x * (z / C)))) / C = ((x * (y * (x / C))) / C) * z. [para(12513(a,1),37(a,1,1,2,2,2)),rewrite([12498(8),79(6),12498(14),79(

12),12498(16),79(14)]),flip(a)].

13449 (x * (x * (y / C))) / C = (x * (x / (C * C))) * y. [para(12513(a,1),85(a,1,1,2,2)),rewrite([12498(7),79(5),13407(5),3032(5),12498(13),

79(11),12498(14),79(12)]),flip(a)].

13481 x \ (0 / C) = (0 / x) / C. [para(12513(a,1),12498(a,1)),flip(a)].

13607 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(13(a,1),12862(a,1,2))].

13608 x / (x * C) = 0 / C. [para(16(a,1),12862(a,1,2))].

13614 x / (y * (z * (u * (z * (y * x))))) = 0 / (y * (z * (u * (z * y)))). [para(37(a,1),12862(a,1,2))].

13631 a(x,y,C) / (C * (x * y)) = 0 / (x * (C * y)). [para(77(a,1),12862(a,1,2))].

13644 (x \ y) / (x * y) = 0 / (x * x). [para(12862(a,1),154(a,1,1,1)),rewrite([12498(3),12862(5),12862(7),12498(8),12715(6)])].

13785 C * (C * (x / (y \ C))) = (C * x) / (0 / y). [para(12873(a,1),298(a,1,2,1,2)),rewrite([16(6,R)])].

13786 C * (((0 / x) / C) * y) = (x \ C) * (y / C). [para(12873(a,1),348(a,1,1)),rewrite([79(4)]),flip(a)].

13796 (A / x) / (0 / x) = A. [para(12890(a,1),11(a,1,1))].

13837 (x / y) * (y / x) = 0. [para(13215(a,1),12(a,1,1))].

13839 x / (C * (x * C)) = 0 / (C * C). [para(158(a,1),13215(a,1,2)),flip(a)].

13840 (x / C) / (x * C) = 0 / (C * C). [para(391(a,1),13215(a,1,2)),flip(a)].

13843 x / (x * (C * C)) = 0 / (C * C). [para(649(a,1),13215(a,1,2)),flip(a)].

13844 x * a(x,y / z,z / y) = (x * (y / z)) * (z / y). [para(13215(a,1),66(a,1,2,2)),rewrite([8(2),13215(7)])].

13859 (x / y) * ((y / x) * z) = z. [para(13215(a,1),348(a,2,2,1)),rewrite([8(3),9(4)]),flip(a)].

13861 (x / y) \ z = (y / x) * z. [para(13215(a,1),12497(a,1,1))].

13862 (0 / C) / x = 0 / (C * x). [para(12555(a,1),13215(a,1,2)),flip(a)].

13997 C / (x / C) = C * (x \ C). [para(13216(a,1),298(a,1,2,1)),rewrite([16(5,R),12873(5),13223(8)]),flip(a)].

14010 (C * C) / x = C * (x \ C). [back_rewrite(13223),rewrite([13997(8)])].

14320 (0 / x) / (0 / (x * A)) = A. [para(12862(a,1),13796(a,1,1))].

15730 (x * y) * (0 / (x * x)) = x * ((y / x) * (0 / x)). [para(12715(a,1),348(a,1,2))].

15758 a(x,0 / (x * x),y) = 0. [para(12732(a,1),64(a,1,2,1)),rewrite([12498(4),339(2),9(3),12498(4),26(3)]),flip(a)].

15975 a(0 / x,x * x,y) = 0. [para(12498(a,1),15758(a,1,2,2)),rewrite([12715(6),13215(7),28(5)])].

16003 (x * C) * (C / x) = C * C. [para(12884(a,1),99(a,1,2)),rewrite([12979(8)])].

16162 x / (x \ y) = x * (y \ x). [para(9(a,1),12979(a,1,2,1)),flip(a)].

16163 (x * y) \ x = x \ (x / y). [para(12979(a,1),10(a,1,2)),flip(a)].

16187 (C / x) / (C * (C / (C / x))) = ((C / x) / C) * ((C / x) / C). [para(12979(a,1),392(a,1,1)),rewrite([16163(6),79(6),13861(8),16(8,R),1

6163(13),79(13),16163(17),79(17)])].

16198 x * ((C * (x * (y * x))) \ x) = x / (y * (x * C)). [para(56(a,2),12979(a,1,2,1))].

16261 x * ((0 / x) / C) = 0 / C. [para(13608(a,1),12979(a,2)),rewrite([16163(4),13608(3),13481(4)])].

16275 x / (C * (x \ C)) = x * (x / (C * C)). [para(12888(a,1),12979(a,1,2,1)),rewrite([339(4),79(3),79(4),969(4)]),flip(a)].

16522 0 / (x * (x / C)) = C / (x * x). [para(13413(a,1),13215(a,1,2))].

16705 (x * y) * ((0 / x) / C) = x * ((y / x) / C). [para(13481(a,1),348(a,1,2)),rewrite([12513(11)])].

16775 (x / (y / z)) * ((y / z) * u) = (z / y) * (((y / z) * x) * u). [para(36(a,1),13859(a,1,2)),flip(a)].

16789 ((x / y) * (((y / x) * z) * u)) \ (z * u) = a(x / y,(y / x) * z,u). [para(13859(a,1),64(a,1,2,1))].

16814 (x / ((y / z) * u)) * (y / z) = (z / y) * (((y / z) * x) / u). [para(298(a,1),13859(a,1,2)),flip(a)].

16853 x * ((C * (x * y)) \ x) = (x / C) / y. [para(13862(a,1),298(a,1,2,1)),rewrite([12498(6),12513(9)])].

16858 (x / C) / (y * x) = x / (y * (x * C)). [back_rewrite(16198),rewrite([16853(6)])].

18244 ((x * C) * (y * (C * C))) / (C / x) = (x * C) * (y * (x * C)). [para(16003(a,1),35(a,1,1,2,2))].

18285 (C / x) / (C * C) = 0 / (x * C). [para(16003(a,1),12862(a,1,2))].

18347 x * ((y / (x / y)) * x) = (x * y) * y. [para(10(a,1),16162(a,2,2)),rewrite([16163(3),11483(4)])].

18441 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(18(a,1),16163(a,1,1)),flip(a)].

18444 ((C * x) * y) \ (x * C) = (x * C) \ ((x * C) / y). [para(76(a,2),16163(a,1,1))].

18511 (C * ((x / C) * x)) \ (x / C) = 0 / (x * C). [para(220(a,1),16163(a,1,1)),rewrite([16858(15),13839(15),13861(16),12558(16),18285(14)])

].

18573 x \ (y * (0 / x)) = (x \ y) / x. [para(8(a,1),297(a,1,1,2)),rewrite([12498(3),12498(8)]),flip(a)].

18661 (C * x) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(297(a,1),12555(a,1)),rewrite([12555(4),12555(6),12555(11)])].

18664 x \ (x \ C) = (x \ C) / x. [para(12873(a,1),297(a,2,2)),rewrite([8(5),16(4,R),12873(4),12498(8)]),flip(a)].

18670 (A \ (x * (C / A))) / C = (A \ x) / A. [para(13230(a,1),297(a,1,1,1)),rewrite([12498(8),13230(13),13230(16),12498(16),18573(14)])].

18738 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(12871),rewrite([18573(4)]),flip(a)].

18890 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [back_rewrite(312),rewrite([18661(6)]),flip(a)].

19032 ((x * C) * (y * (C * C))) / (C / x) = C * ((C * x) * (y * x)). [back_rewrite(18244),rewrite([18890(16)])].

19227 (x * y) / ((0 / x) / C) = x * ((C * y) * x). [para(16261(a,1),298(a,1,2,1,2)),rewrite([12555(4)]),flip(a)].

19295 (x * (C * (y * (x * (C * C))))) / C = x * (C * (y * (C * x))). [para(306(a,1),300(a,1,1,2,2,2))].

19606 ((C * x) * (y * (C * (C * (x * A))))) / (A * C) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,1,1,2,2)),rewrite([16(6,R),16(8,R),1866

1(20)])].

19608 (C * x) * (y * (x * C)) = C * ((C * x) * (y * x)). [para(16(a,1),301(a,2,2,2)),rewrite([16(7,R),19606(14)]),flip(a)].

19806 x * ((x \ C) / x) = x \ C. [para(18664(a,1),9(a,1,2))].

19951 A * ((x \ (x / A)) * A) = A. [para(12496(a,1),302(a,1,1,2,2)),rewrite([8(7),12890(6),12862(4),14320(7),12498(7),16163(5)]),flip(a)].

20574 (x \ (x / A)) * A = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].

20575 A * ((x \ (x / A)) * (A * y)) = A * y. [para(19951(a,1),13(a,1,1)),flip(a)].

20578 (x \ (x / A)) * (A * (x \ (x / A))) = 0 / A. [para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].

20585 (x \ (x / A)) * (A * y) = y. [para(19951(a,1),71(a,2,1,2)),rewrite([20575(11),20578(15),12852(11),8(8),20574(11),7(8)])].

20598 x * (A * (y \ (y / A))) = x. [para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].

20606 x \ (x / A) = 0 / A. [back_rewrite(20578),rewrite([20598(9)])].

20659 x * (0 / A) = x / A. [para(20606(a,1),9(a,1,2))].

20662 (A \ (x / A)) * y = ((A \ x) / A) * y. [para(20606(a,1),33(a,1,1)),rewrite([20606(6),12498(7),12498(7),18738(5),20606(8),12498(11)]),f

lip(a)].

20675 A \ (x * (y * (x * (A \ z)))) = ((A \ (x * (y * x))) / A) * z. [para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606

(14),12498(15),20662(14)])].

20676 A \ (x * (C / A)) = C * (A \ (x / A)). [para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].

20720 A \ (x / A) = (A \ x) / A. [back_rewrite(18670),rewrite([20676(6),51(8)])].

20744 (x * (y * x)) / A = x * (y * (x / A)). [para(20659(a,1),13(a,1)),rewrite([20659(8)])].

20832 A \ (x * (y * (x / A))) = (A \ (x * (y * x))) / A. [para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14

)]),flip(a)].

21328 A * ((A \ x) / A) = x / A. [para(20720(a,1),9(a,1,2))].

21351 (A * x) * A = A * (x * A). [para(302(a,1),20720(a,1,2)),rewrite([10(8),10(14),20744(12),27(10),8(9)])].

21694 ((x \ y) / x) * (x * z) = x \ (y * z). [para(9(a,1),349(a,1,2,1)),flip(a)].

21699 x \ (C * (x * y)) = (y / x) * (x * C). [para(16(a,2),349(a,1,2))].

21703 (x / (C * C)) * (C * y) = (x * y) / C. [para(52(a,1),349(a,1,2,1)),rewrite([79(3),969(7)]),flip(a)].

21785 (C * x) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),349(a,1,2,1)),rewrite([13862(8),12498(10)]),flip(a)].

21786 (x / (y * C)) * y = (x / y) * (y / C). [para(12513(a,1),349(a,1,2)),rewrite([11593(4),12513(9)])].

21787 ((0 / x) / C) * (C * y) = ((x \ C) * y) / C. [para(12873(a,1),349(a,1,2,1)),rewrite([79(5)]),flip(a)].

21802 (C / x) * (x * (0 / (C * x))) = 0 / x. [para(12628(a,1),349(a,1,2)),rewrite([12620(2)]),flip(a)].

21814 C * (x \ (C * ((x / C) * y))) = (C / x) * (x * y). [para(13997(a,1),349(a,2,1)),rewrite([16(6,R),52(6),13861(4),12505(12)]),flip(a)].

21826 ((C / x) / (x * C)) * ((x * C) * y) = (x * C) \ (C * (C * y)). [para(16003(a,1),349(a,1,2,1)),rewrite([31(6)]),flip(a)].

21894 C * ((x / (C * y)) * y) = C * ((x / y) * (y / C)). [back_rewrite(2319),rewrite([21786(11)])].

21942 x \ (C * ((x / y) * (y / C))) = a(x / (C * y),y,C). [back_rewrite(2063),rewrite([21894(6)])].

22092 ((C * x) * x) / (C * ((x / C) * x)) = C. [para(220(a,1),350(a,1,2))].

22253 C * (x \ (C * ((C * y) / (x \ C)))) = (C * (x \ (C * y))) * x. [para(306(a,2),351(a,1,2)),rewrite([14010(4),14010(9),16(12,R),11601(13

),12505(10),14010(14),12505(15)])].

22690 (A \ (x * ((x \ (A * y)) * x))) / A = y * (x / A). [para(21328(a,1),39(a,2,2)),rewrite([13861(9),16162(8),12505(9),21351(11),13(16),21

328(14),21694(13),20832(9)])].

23565 (C * (x * y)) \ ((x * (y / x)) * (x * C)) = a(x,y / x,x * C). [para(360(a,1),101(a,1,2))].

24263 (C * x) * ((y / (C * C)) * x) = (x / C) * (y * x). [para(56(a,1),365(a,2)),rewrite([13407(7),16(14,R),52(14)])].

25402 (x * C) \ (x * y) = x \ ((x / C) * y). [para(12513(a,1),381(a,1,2,1)),rewrite([11(6),21785(4),13862(10),12498(14),21785(12),11(10)]),f

lip(a)].

27367 (x \ C) * ((x / (C * C)) * y) = ((0 / x) / C) * (x * y). [para(16261(a,1),421(a,1,2,2,2,2)),rewrite([12513(9),13786(10),13407(7),16(18

,R),52(18),12496(15),8(14)])].

28110 (C * x) * (((y * (z * (y / C))) / C) * x) = (x / C) * (y * (z * (y * x))). [para(425(a,1),348(a,2)),rewrite([79(9),13421(9),52(16)])].

28116 C / (x * (y * (z * (y * (C * x))))) = 0 / (x * (y * (z * (y * x)))). [para(425(a,1),13216(a,1,2))].

28704 (x / (y * (C * C))) * y = (x / y) * (y / (C * C)). [para(12558(a,1),349(a,1,2)),rewrite([11593(6),12558(13)])].

28744 C * (C * ((x / (C * (C * y))) * y)) = C * (C * ((x / y) * (y / (C * C)))). [back_rewrite(2371),rewrite([28704(18)])].

28746 x * ((x \ y) * x) = y / (0 / x). [para(9(a,1),12632(a,1,1)),flip(a)].

28749 (C * x) / (0 / x) = x * (C * x). [para(16(a,2),12632(a,1,1))].

28750 x / (C / x) = (x / C) * x. [para(52(a,1),12632(a,2,2)),rewrite([16(4,R),52(4),13215(4)])].

28775 (x / C) / (0 / x) = x * (x / C). [para(12513(a,1),12632(a,1,1)),rewrite([12498(9),79(7)])].

28776 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(12632(a,1),13215(a,1,2)),flip(a)].

28815 x / (A / y) = x * (y / A). [back_rewrite(22690),rewrite([28746(6),11593(7),12890(4),11(7)])].

28963 0 / ((x / C) * x) = (C / x) / x. [para(28750(a,1),13215(a,1,2))].

29063 x / (0 / y) = x * y. [para(11(a,1),28815(a,2,2)),rewrite([12862(4)])].

29065 x * (0 / y) = x / y. [para(29(a,1),28815(a,1,2)),rewrite([12503(5)]),flip(a)].

29171 (x / C) * x = x * (x / C). [back_rewrite(28775),rewrite([29063(5)])].

29186 (C * x) * x = x * (C * x). [back_rewrite(28749),rewrite([29063(5)])].

29188 x * ((x \ y) * x) = y * x. [back_rewrite(28746),rewrite([29063(6)])].

29241 C * (C * (x / (y \ C))) = (C * x) * y. [back_rewrite(13785),rewrite([29063(12)])].

29244 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(12868),rewrite([29063(3)])].

29248 (x * y) * x = x * (y * x). [back_rewrite(12632),rewrite([29063(4)])].

29249 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(12504),rewrite([29063(3)])].

29338 (C / x) / C = 0 / x. [back_rewrite(21802),rewrite([29065(7),12862(5),29065(6)])].

29403 x \ (y / x) = (x \ y) / x. [back_rewrite(18573),rewrite([29065(3)])].

29434 (x * y) / (x * x) = x * ((y / x) / x). [back_rewrite(15730),rewrite([29065(5),29065(7)])].

29496 x \ C = C / x. [back_rewrite(12873),rewrite([29065(4)]),flip(a)].

29499 (x / (y * y)) * a(x,0 / y,0 / y) = (x / y) / y. [back_rewrite(12760),rewrite([29065(4),29065(11),29065(12)])].

29500 ((x * x) / y) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(12756),rewrite([29065(4),29065(5),29065(6),13861(5)])].

29520 a(x,y,0 / y) = 0. [back_rewrite(12643),rewrite([29065(4),13837(3)]),flip(a)].

29524 (x * y) / x = x * (y / x). [back_rewrite(12633),rewrite([29065(4)])].

29649 (C / x) / x = C / (x * x). [back_rewrite(28963),rewrite([29171(4),16522(5)]),flip(a)].

29724 x * (C / x) = C. [back_rewrite(22092),rewrite([29186(3),29171(7),13414(8),29434(5),11(3)])].

29741 (0 / x) / C = 0 / (x * C). [back_rewrite(18511),rewrite([29171(4),13414(5),339(4),13406(3),13481(4)])].

29978 C * (x * (x * ((C / x) * y))) = (C * x) * (C * y). [back_rewrite(12083),rewrite([29186(4),13(10),13231(9)])].

30017 (C * x) * ((C * x) * y) = C * (x * (x * (C * y))). [back_rewrite(8619),rewrite([29186(4),498(6)]),flip(a)].

30374 x / (C * (C / x)) = x * (x / (C * C)). [back_rewrite(16275),rewrite([29496(3)])].

30413 x * (C * (C / x)) = C * C. [back_rewrite(12888),rewrite([29496(3)])].

30485 (C / x) / (x * C) = 0 / (x * x). [back_rewrite(16187),rewrite([30374(9),18285(8),29065(7),29338(9),29338(11),29065(10),12697(8)])].

30540 C * (C * (x / (C / y))) = (C * x) * y. [back_rewrite(29241),rewrite([29496(4)])].

30554 (C / x) * ((x / (C * C)) * y) = x \ ((x / C) * y). [back_rewrite(27367),rewrite([29496(2),29741(12),12498(14),25402(12)])].

30581 C * (x \ (C * ((C * y) / (C / x)))) = (C * (x \ (C * y))) * x. [back_rewrite(22253),rewrite([29496(6)])].

30586 (x * C) \ (C * y) = ((C / x) * y) / C. [back_rewrite(21787),rewrite([29741(4),12498(7),29496(7)])].

30626 x * (C / (x * x)) = C / x. [back_rewrite(19806),rewrite([29496(2),29649(3),29496(6)])].

30809 (x * y) * (x * C) = x * ((C * y) * x). [back_rewrite(19227),rewrite([29741(5),29063(6)])].

30843 (x * y) / (x * C) = x * ((y / x) / C). [back_rewrite(16705),rewrite([29741(5),29065(6)])].

30954 (x * C) * ((x * C) * y) = C * (x * (x * (C * y))). [back_rewrite(889),rewrite([30017(6)]),flip(a)].

31026 x \ ((C / x) * (x * y)) = ((C / x) * (C * y)) / C. [back_rewrite(21826),rewrite([30485(5),12498(7),339(5),349(4),30586(12)])].

31115 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y / x,x * C). [back_rewrite(23565),rewrite([30809(8)])].

31143 x * ((y / (C * (x * x))) * x) = x * ((y / x) / C). [back_rewrite(11615),rewrite([30843(10)])].

31237 (x * y) / (C / x) = x * ((y / C) * x). [para(29724(a,1),298(a,1,2,1,2)),flip(a)].

31259 (x * (C * x)) \ ((x * C) * y) = (C * x) \ (C * y). [para(29724(a,1),381(a,1,2,1)),rewrite([12862(9),28776(10),12498(14)]),flip(a)].

31279 a(x,0 / y,y) = 0. [para(29(a,1),29520(a,1,3)),rewrite([12620(2)])].

31280 a(x,y / z,z / y) = 0. [para(13215(a,1),29520(a,1,3))].

31293 (x * (y / z)) * (z / y) = x. [back_rewrite(13844),rewrite([31280(3),8(2)]),flip(a)].

31452 (x * (x / y)) * y = x * x. [para(31279(a,1),93(a,1,2)),rewrite([12(3),8(2),8(3),29065(4)]),flip(a)].

31516 (x * y) * (x * y) = x * (y * (x * y)). [para(29063(a,1),154(a,1,1,1)),rewrite([29248(2),29063(5),13(3),29063(6),29063(7)]),flip(a)].

31517 x * ((y / (x / z)) * x) = (x * y) * z. [para(29063(a,1),298(a,2)),rewrite([29065(3)])].

31519 (0 / x) / y = 0 / (y * x). [para(29063(a,1),13215(a,1,2)),flip(a)].

31520 x / (y / z) = x * (z / y). [para(13215(a,1),29063(a,1,2))].

31641 (x * y) * y = x * (y * y). [back_rewrite(18347),rewrite([31520(2),31452(3)]),flip(a)].

31689 x * ((y * (z / x)) * x) = (x * y) * z. [back_rewrite(31517),rewrite([31520(2)])].

31692 (x * y) * (x / C) = x * ((y / C) * x). [back_rewrite(31237),rewrite([31520(4)])].

31714 C * (x \ (C * (C * ((y / C) * x)))) = (C * (x \ (C * y))) * x. [back_rewrite(30581),rewrite([31520(7),365(7)])].

31718 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(30540),rewrite([31520(5)])].

31863 ((x * C) * (y * (C * C))) * (x / C) = C * ((C * x) * (y * x)). [back_rewrite(19032),rewrite([31520(10)])].

31865 (x * (y / z)) * ((z / y) * u) = (y / z) * (((z / y) * x) * u). [back_rewrite(16775),rewrite([31520(2)])].

31881 (x * y) / ((z / (x * u)) * x) = x * ((y * (u / (x * z))) * x). [back_rewrite(11787),rewrite([31520(8)])].

31994 a(x,y / x,x * C) = a(C,x,y). [back_rewrite(31115),rewrite([31689(8),1990(7)]),flip(a)].

32072 x \ (x / y) = 0 / y. [para(29065(a,1),10(a,1,2))].

32073 (x * (y * x)) / z = x * (y * (x / z)). [para(29065(a,1),13(a,1)),rewrite([29065(6)])].

32076 (x * x) / y = x * (x / y). [para(29065(a,1),31(a,1)),rewrite([29065(5)])].

32082 (x * (y * (z * (y * x)))) / u = x * (y * (z * (y * (x / u)))). [para(29065(a,1),37(a,1)),rewrite([29065(8)])].

32085 (C * (C / x)) * y = C * (x \ (C * y)). [para(29065(a,1),55(a,1,1,2)),rewrite([12498(11)])].

32088 (x * (y / z)) \ ((x * y) / z) = a(x,y,0 / z). [para(29065(a,1),64(a,1,1,2)),rewrite([29065(6)])].

32115 x \ (0 / y) = 0 / (y * x). [para(29065(a,1),12498(a,1)),rewrite([31519(3)]),flip(a)].

32137 (x * y) \ (x * z) = x \ ((x / y) * z). [para(29065(a,1),349(a,1,2,1)),rewrite([31519(6),12498(8)]),flip(a)].

32138 (x / (y * z)) * y = (x / y) * (y / z). [para(29065(a,1),349(a,1,2)),rewrite([11593(3),29065(7)])].

32145 (C * x) / (C * y) = C * ((x / C) / y). [para(29065(a,1),365(a,2,2)),rewrite([31519(6),29065(7)])].

32159 (x * y) * ((z / x) * (x / u)) = x * ((y / x) * ((x * z) / u)). [para(29065(a,1),385(a,1,2,2)),rewrite([29065(10)])].

32221 ((C * x) * y) \ (x * C) = 0 / y. [back_rewrite(18444),rewrite([32072(12)])].

32223 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(18441),rewrite([32072(7)]),flip(a)].

32226 (x * y) \ x = 0 / y. [back_rewrite(16163),rewrite([32072(4)])].

32276 (x * (x / y)) * ((y / x) / x) = a(y,0 / x,0 / x). [back_rewrite(29500),rewrite([32076(2)])].

32468 (x * (C * x)) \ ((x * C) * y) = ((C / x) * y) / C. [back_rewrite(31259),rewrite([32137(12),79(12)])].

32572 (C * (C * x)) \ y = (x \ (y / C)) / C. [back_rewrite(10806),rewrite([32137(17),28116(11),12498(14),32137(12),13607(7),12498(11),32137(

9),12862(6),12498(6),10(4),79(3),79(5)]),flip(a)].

32573 (x * (y * x)) \ z = x \ (y \ (x \ z)). [back_rewrite(10748),rewrite([32137(11),13614(6),12498(10),32137(8),13607(4),12498(7),32137(5),

12862(2),12498(4),10(2)]),flip(a)].

32597 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [back_rewrite(4520),rewrite([32137(11),13216(6),12498(8),32137(6),79(7)])].

32636 (x * y) / ((z / x) * (x / u)) = x * ((y * (u / (x * z))) * x). [back_rewrite(31881),rewrite([32138(4)])].

32684 (x * (y / z)) * ((z / y) / u) = (y / z) * (((z / y) * x) / u). [back_rewrite(16814),rewrite([32138(5),31520(2)])].

32699 x \ ((x * y) / z) = (y / x) * (x / z). [back_rewrite(11593),rewrite([32138(6)])].

32712 x * a(x / (y * (C * z)),y,z * C) = ((x / y) * (y / (z * C))) * (z * C). [back_rewrite(2377),rewrite([32138(13)])].

32880 x \ (((C / x) * (x * y)) / C) = ((C / x) * y) / C. [back_rewrite(32468),rewrite([32573(7),349(5),79(6)])].

32917 a(x,0 / y,0 / y) = 0. [back_rewrite(32276),rewrite([32684(5),12(3),13837(3)]),flip(a)].

32973 (x / y) / y = x / (y * y). [back_rewrite(29499),rewrite([32917(7),8(4)]),flip(a)].

33011 0 / (x \ y) = y \ x. [para(29(a,1),32072(a,1,2)),flip(a)].

33012 (x / y) * (y * x) = x * x. [para(32072(a,1),345(a,1,2,2)),rewrite([32115(4),31520(5),28(4)])].

33013 (x \ y) \ x = y \ (x * x). [para(345(a,1),32072(a,1,2)),rewrite([33011(6)]),flip(a)].

33132 (x \ y) * (y \ x) = 0. [para(33011(a,1),12(a,1,1))].

33135 x * a(x,y \ z,z \ y) = (x * (y \ z)) * (z \ y). [para(33011(a,1),66(a,1,2,2)),rewrite([8(2),33011(7)])].

33139 (x \ y) \ z = (y \ x) * z. [para(33011(a,1),12498(a,1,1)),flip(a)].

33140 a(x \ y,(y \ x) * (y \ x),z) = 0. [para(33011(a,1),15975(a,1,1))].

33165 a(x,y \ z,z \ y) = 0. [para(33011(a,1),29520(a,1,3))].

33166 x / (y \ z) = x * (z \ y). [para(33011(a,1),29065(a,1,2)),flip(a)].

33168 x \ (y * y) = (x \ y) * y. [back_rewrite(33013),rewrite([33139(2)]),flip(a)].

33183 (x * (y \ z)) * (z \ y) = x. [back_rewrite(33135),rewrite([33165(3),8(2)]),flip(a)].

33329 x * ((x \ (y \ x)) * y) = (y \ x) * y. [para(33132(a,1),33(a,1,2,2)),rewrite([8(3),29249(6)]),flip(a)].

33334 (x \ (y * C)) * ((C * y) \ x) = 0. [para(245(a,2),33132(a,1,2))].

33344 x * ((x \ y) * (x * z)) = (y * x) * z. [para(33132(a,1),196(a,1,1,2)),rewrite([8(2),33132(4),8(3),33132(7),8(6),29249(8),33329(8),2918

8(7)])].

34692 (x * (y * (x / z))) / z = x * (y * (x / (z * z))). [para(32917(a,1),71(a,1,2)),rewrite([29065(5),32973(3),29065(4),8(6),29065(7),29065

(10)]),flip(a)].

34696 (C * x) * ((y * (z * (y / (C * C)))) * x) = (x / C) * (y * (z * (y * x))). [back_rewrite(28110),rewrite([34692(8)])].

34991 (x * C) * (C * (x * ((C / x) * y))) = C * ((x * C) * (C * y)). [para(89(a,2),474(a,2,1,2)),rewrite([29496(4),13216(4),29496(12),13216(

12),12498(11),348(10),30954(12),12498(13),21699(11),29524(8),30809(11),31689(11),29496(13),13216(13),31516(17),12498(19),21699(17),32073(14),

29724(13),31(15),55(16)])].

35208 (x * (y * (x * y))) * z = (x * y) * ((x * y) * z). [para(29188(a,1),432(a,1,1,2,2,2)),rewrite([33344(5),31516(3),33344(9),33344(10)])]

.

35212 (x / y) * x = x * (y \ x). [para(32072(a,1),29188(a,1,2,1)),rewrite([12498(3)]),flip(a)].

35340 (x * (x * (y * x))) * z = x * ((x * y) * (x * z)). [para(29248(a,1),13(a,1,1,2))].

35358 0 / a(x,y,x * z) = a(x * y,x,z). [para(29248(a,1),64(a,1,2,1)),rewrite([13(6),32223(7)])].

35398 x \ ((x / y) * (y * (x * z))) = (x / (x * y)) * ((x * y) * z). [para(29248(a,1),349(a,1,2,1)),rewrite([13(4),32137(5)])].

35448 x * ((x \ y) / x) = y / x. [para(29403(a,1),9(a,1,2))].

35464 (x \ (y \ x)) / x = 0 / (y * x). [para(12503(a,1),29403(a,1,2)),rewrite([32115(3)]),flip(a)].

35478 x \ (y / (x * x)) = (x \ y) / (x * x). [para(29403(a,1),29403(a,2,1)),rewrite([32973(2),32973(6)])].

35569 (x / y) / x = x / (x * y). [para(29065(a,1),29524(a,1,1)),rewrite([31519(5),29065(6)])].

35748 C * (x * (y * (x / (C * C)))) = x * (y * (x / C)). [para(30626(a,1),425(a,2,2,2,2,2)),rewrite([13608(6),13608(9),29065(8),12498(9),79(

7),34692(7),13608(13),27(14),8(13),12498(14),79(12),32073(12)])].

35762 a(x * (y / z),z / y,u) = a(y / z,(z / y) * x,u). [para(31293(a,1),64(a,1,2,1)),rewrite([31865(5),16789(7)]),flip(a)].

35859 (C * (C / x)) \ ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [para(31452(a,1),382(a,2,2)),rewrite([16(4,R),32085(9),306(20,R),16(19,

R),11601(20),31520(16),365(16)])].

36454 (x * (y / z)) \ u = ((z / y) / x) * u. [para(31520(a,1),13861(a,1,1))].

36488 x / (y * (z / u)) = x * ((u / z) / y). [para(31520(a,1),31520(a,1,2))].

36490 (x / (C * C)) * ((C * (x \ (C * y))) * x) = C * ((y / C) * x). [back_rewrite(35859),rewrite([36454(11),32973(4)])].

36496 ((x / y) / z) * ((z * y) / x) = a(z,y,0 / x). [back_rewrite(32088),rewrite([36454(5)])].

36540 x * ((y * (z / (x * u))) * x) = x * ((y / x) * ((x * z) / u)). [back_rewrite(32636),rewrite([36488(5),31520(4),32159(5)]),flip(a)].

36747 (x * (y * (x * x))) * z = x * ((y * x) * (x * z)). [para(31641(a,1),13(a,1,1,2))].

36999 (x * y) / (z * x) = x * ((y / x) / z). [para(32115(a,1),348(a,1,2)),rewrite([29065(5),29065(7)])].

37089 C * (x / (C * (C * (C * C)))) = (x / C) / (C * C). [para(32973(a,1),743(a,1,2)),rewrite([306(8,R),16(7,R),1101(16)])].

37122 (x / (y * y)) / y = (x / y) / (y * y). [para(32973(a,1),32973(a,1,1))].

37156 a(x / y,y,x) = 0. [para(33012(a,1),64(a,1,1)),rewrite([12(3),26(3)]),flip(a)].

37234 a(x,y,x * y) = 0. [para(11(a,1),37156(a,1,1))].

37335 a(x,0 / y,x / y) = 0. [para(29065(a,1),37234(a,1,3))].

37490 (x / y) * (x / y) = x * ((y \ x) / y). [para(37335(a,1),18(a,1,2)),rewrite([12498(4),29403(2),8(5),29065(6)]),flip(a)].

38253 (x / y) * (y * (x \ y)) = y. [para(35212(a,1),10(a,1,2)),rewrite([13861(4)])].

38516 a(x / y,y,x \ y) = 0. [para(38253(a,1),64(a,1,1)),rewrite([12(2),9(2),26(1)]),flip(a)].

38555 a(C / x,x,x / C) = 0. [para(79(a,1),38516(a,1,3))].

38632 a(C / x,x,x / (C * C)) = 0. [para(32973(a,1),38555(a,1,3)),rewrite([31520(4),35762(11),16(6,R),52(6)])].

42338 (x * C) * (C * y) = C * (C * (x * y)). [para(620(a,2),349(a,1,2,1)),rewrite([35208(6),30017(6),21699(7),29524(4),30809(7),31689(7),295

24(10),32076(9),30413(10),31(10)])].

42481 C * ((C * x) * (C * y)) = C * (C * (C * (x * y))). [back_rewrite(34991),rewrite([42338(9),29978(8),42338(13)])].

42504 a(x,C,C * y) = a(x,y,C * C). [back_rewrite(2048),rewrite([42338(10),2043(11)]),flip(a)].

42507 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(892),rewrite([42338(10)])].

42508 (x * (y * (C * C))) * a(x,C,C * y) = C * (C * (x * y)). [back_rewrite(789),rewrite([42338(15)])].

42518 C * (C * (C * ((x / (C * y)) * z))) = (C * ((C * x) / y)) * z. [back_rewrite(11656),rewrite([42481(10)])].

43048 (x / C) * (y * (C * x)) = C * ((x / C) * (y * x)). [para(12(a,1),622(a,2,2,2,2)),rewrite([1486(9)]),flip(a)].

43590 (x * C) * (y * C) = C * (C * (x * y)). [para(16(a,2),626(a,1,2,3)),rewrite([42508(10)]),flip(a)].

43601 (x * C) * (y * (C * C)) = C * (C * (x * (y * C))). [para(31641(a,1),626(a,1,2,3)),rewrite([306(6,R),16(5,R),1498(14),16(13,R),42338(14

)])].

43619 (C * x) * (C * y) = C * (C * (x * y)). [back_rewrite(893),rewrite([43590(10)])].

43622 C * ((C * x) * (y * x)) = C * (x * ((y * C) * x)). [back_rewrite(31863),rewrite([43601(7),365(10),29524(8),52(8),29248(5)]),flip(a)].

43676 (C * x) * (y * (x * C)) = C * (x * ((y * C) * x)). [back_rewrite(19608),rewrite([43622(12)])].

43699 (C * x) * (y * (C * x)) = C * (x * ((y * C) * x)). [back_rewrite(18661),rewrite([43622(12)])].

43911 C * (C * (x * (y / (C * C)))) = C * ((x / C) * y). [para(630(a,2),379(a,1,2,1)),rewrite([16(7,R),35340(8),31(7),669(16),79(13),29403(1

4),79(12),32973(14),35478(15),79(11),35478(16),29403(12),79(10),32973(12),32973(16),306(15,R),16(14,R),55(17),37089(15),977(12),29524(6),52(6

),32973(6),16(16,R),16(23,R),35340(26),31(25),42518(25),32145(19),743(19),32973(15),743(16)])].

44004 C * (C * ((x / (C * (C * y))) * y)) = C * (((x / y) / C) * y). [back_rewrite(28744),rewrite([43911(20)])].

44569 (C * x) * (y * x) = x * ((y * C) * x). [para(656(a,2),349(a,2)),rewrite([306(9,R),16(8,R),52(8),43699(7),10(8),52(12),36(12)]),flip(a)

].

44590 (x / C) * (y * (z * (y * x))) = x * ((y * (z * (y / C))) * x). [back_rewrite(34696),rewrite([44569(10),16(8,R),35748(8)]),flip(a)].

44596 (x / C) * (y * x) = x * ((y / C) * x). [back_rewrite(24263),rewrite([44569(8),16(6,R),743(6)]),flip(a)].

44605 (x / C) * (y * (C * x)) = C * (x * ((y / C) * x)). [back_rewrite(43048),rewrite([44596(11)])].

44767 C * (C * ((x / C) * y)) = x * (C * y). [para(880(a,1),659(a,2,2,2)),rewrite([16(9,R),11597(14),32145(9),36540(11),13407(9),30554(10),9

(7)])].

44776 (C * (x \ (C * y))) * x = C * (x \ (y * (C * x))). [back_rewrite(31714),rewrite([44767(8)]),flip(a)].

44781 (x * (C * y)) / C = C * ((x / C) * y). [back_rewrite(36490),rewrite([44776(10),21703(11),9(5)])].

44823 x \ ((C / x) * (x * y)) = C * (x \ y). [back_rewrite(31026),rewrite([44781(12),35569(10),13216(10),12498(9)])].

44834 C * ((x / C) * (y * (x * (C * C)))) = x * (C * (y * (C * x))). [back_rewrite(19295),rewrite([44781(10)])].

45923 (C / x) * (x * (x / (C * C))) = x / C. [para(38632(a,1),18(a,1,2)),rewrite([8(10),12(11),743(14)])].

47608 (x / C) * (y * (x / C)) = x * ((y / C) * (x / C)). [para(9(a,1),798(a,1,1,2,2,2)),rewrite([79(2),44605(6),30843(10),32073(7),34692(9),

35748(10),79(8),79(10)]),flip(a)].

48783 x \ (C * (C * y)) = C * ((C / x) * y). [para(12892(a,1),381(a,2,1)),rewrite([33168(10),29496(8),16(10,R),31(11),55(12),43619(11),339(1

3),10(12),10(9),31(11),12498(12)]),flip(a)].

48819 x \ (y * (C * C)) = C * ((C / x) * y). [back_rewrite(10911),rewrite([48783(5)]),flip(a)].

48852 x \ (C * (y * C)) = C * ((C / x) * y). [back_rewrite(10907),rewrite([48819(10)])].

49052 (x / C) / (C * C) = x / (C * (C * C)). [para(13840(a,1),32076(a,2,2)),rewrite([37490(5),79(2),32973(4),30843(8),35569(5),13843(5),3712

2(7),31519(7),16(6,R),29065(8),29065(14)]),flip(a)].

49100 C * (x / (C * (C * (C * C)))) = x / (C * (C * C)). [back_rewrite(37089),rewrite([49052(16)])].

49557 a(C,x,y * x) = a(x,y,x * C). [para(11(a,1),31994(a,1,2)),flip(a)].

49558 a(x / C,y * (C / x),x) = a(C,x / C,y). [para(12(a,1),31994(a,1,3)),rewrite([31520(5)])].

49565 a(C * x,y,C * (C * x)) = a(C,C * x,y * (x * C)). [para(877(a,1),31994(a,1,2)),rewrite([16(6,R)])].

50382 (x * y) \ (y * z) = y \ ((x \ y) * z). [para(35464(a,1),349(a,2,1)),rewrite([9(3),12498(8)]),flip(a)].

50819 C * (x \ ((x / y) * (y / C))) = a(C,x,C * y). [para(886(a,1),102(a,1,2)),rewrite([16(5,R),43619(10),48783(11),13216(8),12498(8),32137(

6),32138(5)])].

50828 (x \ ((x / y) * (y * C))) / C = a(C * x,C,y). [para(886(a,1),32221(a,1,1)),rewrite([43619(5),16(10,R),32137(11),13216(6),12498(8),3213

7(6),79(7),35358(13)])].

51381 a(x,y / (C * C),C * C) = a(x,C,y / C). [para(743(a,1),42504(a,1,3)),flip(a)].

51470 ((x / C) / y) * (y * C) = C * (((x / y) / C) * y). [para(880(a,1),888(a,1,1)),rewrite([16(4,R),32712(10),12862(6),29065(5),16(10,R),16

(13,R),42507(16),44004(16)])].

51476 0 / a(C,x,y * C) = a(C * C,x,y). [para(888(a,1),32221(a,1,1)),rewrite([42507(5),16(10,R),32137(11),13216(6),12498(8),32137(6),79(7),32

597(7)]),flip(a)].

51553 (x / y) * (C * (y * y)) = (C * x) * y. [para(891(a,2),349(a,2)),rewrite([30809(4),10(5)]),flip(a)].

51944 (x * y) * (C * x) = x * ((C * y) * x). [para(897(a,2),36(a,1,2)),rewrite([51553(5)]),flip(a)].

52538 a(C,x / C,y * (x / C)) = a(x / C,y,x). [para(12(a,1),49557(a,2,3))].

52554 a(C,C * x,y * (x * C)) = a(C,x * C,y * (C * x)). [para(49557(a,1),2054(a,1)),rewrite([16(6,R),49565(7)])].

52574 a(C,x,x * (y \ x)) = a(x,x / y,x * C). [para(35212(a,1),49557(a,1,3))].

52605 (x / y) * (z * (C * C)) = C * ((C * (x / y)) * z). [para(916(a,1),13861(a,2)),rewrite([48852(6),31520(4)]),flip(a)].

52986 (x / y) * (C * (C * z)) = C * ((C * (x / y)) * z). [para(920(a,2),13861(a,2)),rewrite([48819(6),31520(4)]),flip(a)].

54292 (x * C) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(16(a,2),973(a,2,1)),rewrite([973(10),977(14)])].

54294 0 / a(x,C,y / (C * C)) = a(C,x / C,y / C). [para(973(a,1),32226(a,1,1)),rewrite([54292(7),2000(11)]),flip(a)].

54335 C * ((x / (C * (C * C))) * y) = (x / C) * (y / C). [para(977(a,1),363(a,1,1)),rewrite([29524(9),13407(8),49052(7),743(17)])].

54336 (x * y) / (C * C) = (x / C) * (y / C). [para(977(a,1),381(a,1,2,1)),rewrite([27(7),7(8),52(7),339(5),79(4),29403(5),79(3),32973(5),329

73(13),306(12,R),16(11,R),31(17),52986(18),49100(16),54335(14)])].

54764 a(C / x,x * (x / (C * C)),y) = 0. [para(79(a,1),33140(a,1,2,1)),rewrite([29496(2),79(6),37490(7),79(4),32973(6)])].

55893 (x * (y * (C * z))) / C = (C * x) * ((y / C) * z). [para(1224(a,1),382(a,2,2)),rewrite([31(7),31(15),52986(16),743(14),43619(13),48783

(14),13608(6),12498(11),349(9),36(10),31(14),55(15),21703(16)]),flip(a)].

56265 (x / (C * y)) * y = (x / y) * (y / C). [para(1236(a,1),10(a,1,2)),rewrite([32699(4)]),flip(a)].

56267 x * ((y / (C * x)) * (x * z)) = ((x * y) / C) * z. [para(1236(a,1),13(a,1,1)),flip(a)].

56270 (x / C) * (C * y) = C * (x * (y / C)). [para(625(a,1),1236(a,1,2,1,2)),rewrite([43699(11),16(8,R),36540(10),54336(8),13859(9),363(10)]

),flip(a)].

56275 x * (((y / x) / C) * x) = (x / C) * y. [para(1236(a,1),365(a,2,2)),rewrite([52(6),13407(8),44569(9),16(7,R),743(7),52(12)])].

56277 (x * (x * y)) / C = x * ((x / C) * y). [para(1236(a,1),428(a,2)),rewrite([56265(10),32076(9),1709(11),8(6),56265(6),32076(5),11597(7),

29524(2),31692(5),56275(5),31(6)]),flip(a)].

56342 C * ((x / C) * (y / C)) = (x * y) / C. [para(1236(a,1),902(a,2)),rewrite([56267(8),56270(6),36999(9),13407(7),54336(6),11(8)])].

56439 ((C * x) * y) / C = C * (x * (y / C)). [back_rewrite(363),rewrite([56270(10)])].

56448 (x * (x / (C * C))) * y = x * ((x / C) * (y / C)). [back_rewrite(13449),rewrite([56277(6)]),flip(a)].

56470 (C * x) * (y / (C * C)) = (x * y) / C. [back_rewrite(977),rewrite([56342(14)])].

57243 C / (x * (C * (C * (x * y)))) = 0 / (x * (x * (C * y))). [para(1255(a,1),13216(a,1,2))].

65392 (x \ ((C / y) * (y * x))) / C = a(C,x,y * (x * C)). [para(1498(a,1),102(a,1,2)),rewrite([16(6,R),43676(12),32137(13),13216(7),12498(10

),32137(8),12862(3),12498(7),349(5),79(7)])].

67104 (C / x) * (x * ((x / C) * y)) = C * (x * (y / C)). [para(54764(a,1),886(a,1,2)),rewrite([56448(10),11(8),8(9),45923(15),56270(12)])].

67105 (x / C) * (y * C) = C * (x * (y / C)). [para(54764(a,1),888(a,1,2)),rewrite([56448(10),29524(8),52(8),67104(7),8(7),45923(13)]),flip(a

)].

67153 a(C,x * C,y * (C * x)) = a(C,x,y * (x * C)). [para(115(a,1),1639(a,1,2)),rewrite([1500(8),43699(7),13(16),32137(17),13216(9),12498(14)

,32137(12),12862(5),12498(11),50382(9),29496(4),35398(9),13216(5),12498(7),29244(5),29496(3),79(7),65392(7)]),flip(a)].

67165 a(C,C * x,y * (x * C)) = a(C,x,y * (x * C)). [back_rewrite(52554),rewrite([67153(14)])].

67167 a(C * x,y,C * (C * x)) = a(C,x,y * (x * C)). [back_rewrite(49565),rewrite([67165(14)])].

68025 a(C,C * (x * (y * x)),z) = a(C,x * (y * x),z). [para(1698(a,1),49557(a,1,3)),rewrite([16(21,R),67167(22),16(18,R),1698(19)])].

69250 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(1871(a,1),349(a,1,2))].

69252 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(1871(a,1),381(a,1,2)),rewrite([11(7),32137(6),79(6),12862(10),1871(13),12498(

14),69250(12)])].

69324 C * ((C / x) * (x * (y / C))) = (C / x) * (x * y). [back_rewrite(21814),rewrite([69250(7)])].

69326 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(32880),rewrite([69252(6),44823(7)]),flip(a)].

69328 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(69252),rewrite([69326(6),32699(5)]),flip(a)].

69353 (C * (x / y)) * y = (C / y) * (y * x). [back_rewrite(69324),rewrite([69328(7),31718(8)])].

70055 a(x / (C * y),y,C) = a(x / C,y,x). [para(56(a,1),1977(a,1,1)),rewrite([79(2),79(4),16(6,R),52(6),44596(4),79(6),32137(9),12862(4),3152

0(4),7(4),69328(6),21942(7),79(8),79(10),52538(12)])].

70134 a(x,C,y / C) * a(C,x / C,y) = 0. [para(1977(a,1),33334(a,1,2)),rewrite([79(3),16(6,R),1999(7),79(7)])].

70330 (C * x) \ ((C / y) * (y * x)) = a(C,x / y,y). [para(16(a,1),1979(a,1,2,1)),rewrite([16(5,R),69353(6)])].

70331 (x * y) \ (C * (x * (y / C))) = a(x,y / C,C). [para(16(a,2),1979(a,1,2))].

70332 a(x / (C * y),y,C) = a(C,(x / C) / y,y). [para(52(a,1),1979(a,1,1)),rewrite([69353(6),69328(6),21942(7)])].

70356 a(x * C,y / C,C) = 0 / a(x,C,y). [para(1871(a,1),1979(a,1,2,1)),rewrite([16(10,R),44767(10),32223(7)]),flip(a)].

70360 a(x / C,y,x) = a(C,(x / C) / y,y). [back_rewrite(70055),rewrite([70332(5)]),flip(a)].

70582 a(C * C,x,y) = a(C * x,C,y). [para(358(a,1),1983(a,1,2,1)),rewrite([52986(8),52(6),55(10),32137(11),13216(6),12498(8),32137(6),79(7),3

2597(7),16(9,R),52(9)])].

70593 a(x * ((y / x) / C),x,C) = a(x,C,y / C). [para(1229(a,1),1983(a,1,1,2)),rewrite([56265(7),32076(6),11597(8),29524(3),31692(6),56275(6)

,16(6,R),1999(7),31143(10)]),flip(a)].

70848 a(C,x / (C * y),y * C) = a(C,x / y,y). [para(879(a,1),1990(a,1,1,2)),rewrite([16(7,R),42507(10),56265(8),31718(10),69353(6),70330(7)])

,flip(a)].

70863 a(C,x,C * (y * C)) = a(C,x,C * y). [para(916(a,1),1990(a,1,2)),rewrite([43601(14),48783(15),13216(10),12498(12),32137(10),56265(9),11(

8),32138(5),50819(7)]),flip(a)].

70923 ((x * y) \ ((C * x) * y)) / C = a(C * x,y,C). [para(76(a,1),1991(a,1,1)),rewrite([42338(5),32137(11),13216(6),12498(8),79(7)])].

70938 x \ (C * (((x / y) / C) * y)) = a(x * y,x,C). [para(29248(a,1),1991(a,1,2,2)),rewrite([51944(4),32573(9),21699(7),11(4),50382(6),79(2)

,67105(5),21699(6),51470(6)])].

70990 a(x,C,y / (C * C)) = a(x,y,0 / C). [para(743(a,1),1992(a,1,1,2)),rewrite([56470(10),36454(7),36496(7)]),flip(a)].

71024 a(C,x / C,y / C) = 0 / a(x,y,0 / C). [back_rewrite(54294),rewrite([70990(7)]),flip(a)].

71240 a(C * C,x,y * x) = a(C * x,C,y). [para(56(a,1),1998(a,1,1,2)),rewrite([55(12),32137(13),13607(7),12498(10),32137(8),12862(3),12498(7),

21699(5),79(7),50828(7)]),flip(a)].

71249 a(C * C,x,y / C) = 0 / a(C,x,y). [para(365(a,1),1998(a,1,2)),rewrite([31718(7),29524(8),52(8),32223(7)]),flip(a)].

71261 a(C * C,C * (x * C),y) = a(x,C,y). [para(619(a,1),1998(a,1,2,1)),rewrite([13(7),37(18),48783(19),13216(12),12498(16),32572(14),55893(1

1),27(9),7(8),1992(8),52(6)]),flip(a)].

71419 a(x / y,C,y / C) = a(x * y,x,C). [para(12(a,1),1999(a,1,1)),rewrite([70938(7)]),flip(a)].

71423 a(x,C,(y * x) / C) = a(x * y,x,C). [para(56(a,2),1999(a,1,2,2)),rewrite([16(4,R),52(4),47608(10),13419(11),32573(9),21699(7),11(4),671

05(5),21699(6),51470(6),70938(7),16(8,R),52(8)]),flip(a)].

71443 a(x,C,y / C) \ z = a(C,x / C,y) * z. [para(1999(a,1),33139(a,1,1)),rewrite([2000(12)])].

71447 x / a(y,C,z / C) = x * a(C,y / C,z). [para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].

71456 a(x,C,(C * y) * x) = a(C * x,C,y). [para(621(a,2),1999(a,1,1)),rewrite([44834(16),32572(13),32082(10),52(7),32137(7),12862(2),12498(6)

,21699(4),50828(7),55893(12),16(11,R),52(11)]),flip(a)].

71560 x \ (C * ((x / y) * (y / C))) = a(x / C,y,x). [para(56(a,1),2000(a,1,1)),rewrite([16(6,R),52(6),44596(4),32137(9),12862(4),31520(4),7(

4),69328(6),52538(14)])].

71567 a(C,x / C,(y * (C / x)) * x) = a(x,y,C). [para(358(a,1),2000(a,1,1,2)),rewrite([44767(7),31520(6),52(10),31689(8),16(6,R),1991(7),3152

0(8),52(12)]),flip(a)].

71574 a(C,x / C,C * y) = a(C * x,y,C). [para(619(a,1),2000(a,1,1)),rewrite([52605(8),52(6),32572(11),44781(8),67105(7),31718(8),70923(7),708

63(12)]),flip(a)].

71584 a(C * x,y * x,C) = a(x / C,y,x). [para(656(a,1),2000(a,1,1)),rewrite([306(9,R),16(8,R),52(8),44590(8),27(4),8(3),52(9),32137(9),12862(

4),12498(8),32137(6),79(6),69326(6),32699(5),71560(7),52(11),71574(10)]),flip(a)].

71730 a(C,C * (x * C),y) = a(C,x,y). [para(619(a,1),2001(a,1,2,1)),rewrite([16(7,R),35340(8),43619(7),37(18),48783(19),57243(12),12498(16),3

2572(14),55893(11),27(9),7(8),64(8),52(6),68025(10)]),flip(a)].

71739 a(C,C * x,C * y) = a(x,y / C,C). [para(2001(a,1),1374(a,1)),rewrite([43590(12),43619(20),48783(21),13216(16),12498(18),32572(16),56439

(13),70331(14),52(14)])].

71877 a(C * (C * (C * x)),y,z) = a(x,y,z). [para(55(a,1),2002(a,1,1,1)),rewrite([36747(8),42338(7),55(15),43619(14),55(16),43619(15),48783(1

7),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71878 a(C * (x * (C * C)),y,z) = a(x,y,z). [para(56(a,2),2002(a,1,2,1,1)),rewrite([16(6,R),36747(8),42338(7),35340(15),43619(14),55(16),4361

9(15),48783(17),13216(11),12498(14),32137(12),13216(8),12498(9),64(7),79(4),52(5)]),flip(a)].

71884 a(C,x,C * y) = a(C,x,y). [para(1257(a,2),2002(a,1,2,1,1)),rewrite([16(13,R),450(15),450(29),55(30),43619(29),55(27),43619(26),48783(31

),57243(18),52986(28),29065(19),57243(17),52986(23),29065(18),57243(16),12498(18),32572(16),56439(13),32137(14),13216(9),12498(11),32137(9),7

9(10),32973(12),743(13),52(10),50819(7),71877(18),71878(12)])].

71949 a(C,C * x,y) = a(x,y / C,C). [back_rewrite(71739),rewrite([71884(6)])].

71950 a(C * x,y,C) = a(C,x / C,y). [back_rewrite(71574),rewrite([71884(6)]),flip(a)].

71965 a(C,x,y * C) = a(C,x,y). [back_rewrite(70863),rewrite([71884(6),71884(8)])].

72052 a(C,x / C,y * x) = a(x / C,y,x). [back_rewrite(71584),rewrite([71950(5)])].

72078 a(C,x / (C * y),y) = a(C,x / y,y). [back_rewrite(70848),rewrite([71965(7)])].

72083 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(51476),rewrite([71965(5)]),flip(a)].

72085 a(C,x / C,y) = a(x,y,C). [back_rewrite(71567),rewrite([72052(8),49558(6)])].

72100 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71261),rewrite([72083(8),71730(7)])].

72102 a(x,C,y / C) = a(x,C,y). [back_rewrite(71249),rewrite([72083(6),72100(6),72100(8)])].

72103 a(C * x,C,y) = a(x,C,y * x). [back_rewrite(71240),rewrite([72083(5),72100(5)]),flip(a)].

72107 a(C * x,C,y) = a(x,C,y). [back_rewrite(70582),rewrite([72083(4),72100(4)]),flip(a)].

72140 a(x / C,y,x) = a(x,y * x,C). [back_rewrite(72052),rewrite([72085(5)]),flip(a)].

72190 x / a(y,C,z) = x * a(y,z,C). [back_rewrite(71447),rewrite([72102(4),72085(7)])].

72194 a(x,C,y) \ z = a(x,y,C) * z. [back_rewrite(71443),rewrite([72102(4),72085(7)])].

72199 0 / a(x,y,0 / C) = a(x,y / C,C). [back_rewrite(71024),rewrite([72085(6)]),flip(a)].

72203 a(x,C,y) * a(x,y,C) = 0. [back_rewrite(70134),rewrite([72102(4),72085(6)])].

72217 a(x,(y * (C / x)) * x,C) = a(x,y,C). [back_rewrite(49558),rewrite([72140(6),72085(10)])].

72256 a(x * y,x,C) = a(x,C,y * x). [back_rewrite(71423),rewrite([72102(5)]),flip(a)].

72258 a(x / y,C,y) = a(x,C,y * x). [back_rewrite(71419),rewrite([72102(5),72256(6)])].

72259 a(x,C,((y / x) / C) * x) = a(x,C,y). [back_rewrite(70593),rewrite([72256(6),72102(10)])].

72264 a(x,y / (C * C),C * C) = a(x,C,y). [back_rewrite(51381),rewrite([72102(12)])].

72305 a(x,C,y * x) = a(x,C,y). [back_rewrite(72103),rewrite([72107(4)]),flip(a)].

72311 a(x,C,C * y) = a(x,C,y). [back_rewrite(71456),rewrite([72305(5),72107(8)])].

72399 a(C,(x / C) / y,y) = a(x,y * x,C). [back_rewrite(70360),rewrite([72140(3)]),flip(a)].

72407 a(x * C,y / C,C) = a(x,y,C). [back_rewrite(70356),rewrite([72190(10),7(10)])].

72453 a(x,C,y / x) = a(x,C,y). [back_rewrite(72259),rewrite([72305(6),72102(5)])].

72454 a(x / y,C,y) = a(x,C,y). [back_rewrite(72258),rewrite([72305(6)])].

72455 a(x * y,x,C) = a(x,C,y). [back_rewrite(72256),rewrite([72305(6)])].

72534 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72311(4)]),flip(a)].

72588 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72264),rewrite([72534(8),70990(6)])].

72613 a(x,y / C,C) = a(x,y,C). [back_rewrite(72199),rewrite([72588(5),72190(4),7(4)]),flip(a)].

72659 a(x * C,y,C) = a(x,y,C). [back_rewrite(72407),rewrite([72613(6)])].

72661 a(C,C * x,y) = a(x,y,C). [back_rewrite(71949),rewrite([72613(8)])].

72700 a(C,x,y) = a(x,y,C). [back_rewrite(71730),rewrite([72661(6),72659(4)]),flip(a)].

72789 a(C,x * y,x) = a(x,C,y). [back_rewrite(72455),rewrite([72700(3,R)])].

72827 a(C,(x / C) / y,y) = a(C,x / y,y). [back_rewrite(70332),rewrite([72700(5,R),72078(5)]),flip(a)].

72969 a(C,x / y,y) = a(x,y * x,C). [back_rewrite(72399),rewrite([72827(5)])].

72974 (C * (x * y)) * a(x,y,C) = (C * x) * y. [para(72700(a,1),18(a,1,2))].

72990 a(x,y * x,C) = a(x,y,x * C). [para(72700(a,1),49557(a,1))].

73056 a(C,x / y,y) = a(x,y,x * C). [back_rewrite(72969),rewrite([72990(6)])].

73058 a(x,y * (C / x),x * C) = a(x,y,C). [back_rewrite(72217),rewrite([72990(6)])].

73455 x / a(C,y,z) = x * a(y,C,z). [para(72100(a,1),29065(a,1,2)),flip(a)].

73469 0 / (x * a(C,y,z)) = a(y,C,z) / x. [para(72100(a,1),31519(a,1,1)),flip(a)].

73742 0 / (a(x,C,y) * a(x,C,y)) = a(x,y,C) * a(x,y,C). [para(72203(a,1),12863(a,1,2,2)),rewrite([8(6),72190(5)]),flip(a)].

74021 a(x,C,y) * a(x,y / x,C) = 0. [para(72453(a,1),72203(a,1,1))].

74047 a(x * (y \ z),C,z \ y) = a(x,C,z \ y). [para(33166(a,1),72454(a,1,1))].

74109 a(x * (C / y),C,y) = a(x,C,y). [para(72454(a,1),72102(a,1)),rewrite([72102(4),31520(5)]),flip(a)].

74199 a(x,C,x \ y) = a(C,y,x). [para(9(a,1),72789(a,1,2)),flip(a)].

74200 a(C,x,x / y) = a(x,C,y). [para(12(a,1),72789(a,1,2)),rewrite([72454(6)])].

74224 a(C,x,x * (y \ z)) = a(x,C,z \ y). [para(33183(a,1),72789(a,1,2)),rewrite([74047(9)])].

74228 a(C,x / y,y) = a(C,x,y). [para(35448(a,1),72789(a,1,2)),rewrite([72453(7),74199(6)])].

74274 a(x,x / y,x * C) = a(C,y,x). [back_rewrite(52574),rewrite([74224(4),74199(3)]),flip(a)].

74279 a(x,y,x * C) = a(C,x,y). [back_rewrite(73056),rewrite([74228(3)]),flip(a)].

74302 a(C,x,y) = a(y,C,x). [back_rewrite(74274),rewrite([74279(4),74200(3)]),flip(a)].

74306 a(C,x,y * (C / x)) = a(x,y,C). [back_rewrite(73058),rewrite([74279(6)])].

74414 a(x,C,y) = a(y,x,C). [back_rewrite(74109),rewrite([74302(5,R),74306(5)]),flip(a)].

74555 a(x,y / x,C) = a(y,C,x). [back_rewrite(72454),rewrite([74414(3)])].

74701 a(x,C,y) * a(y,C,x) = 0. [back_rewrite(74021),rewrite([74555(5)])].

74855 a(C,x,y) * a(y,x,C) = 0. [para(74302(a,2),72203(a,1,1))].

76571 a(x,y,C) * a(y,C,x) = a(x,y,C) * a(x,y,C). [para(74701(a,1),13644(a,1,2)),rewrite([72194(5),28(7),73742(12)])].

76823 a(x,C,y) * a(x,C,y) = a(y,x,C) * a(x,C,y). [para(74855(a,1),12863(a,1,2,2)),rewrite([8(6),73455(5),73469(12),73455(10)]),flip(a)].

163954 a(x,y,C) * a(x,y,C) = a(x,C,y). [para(13631(a,1),33012(a,1,1)),rewrite([72974(11),12498(9),1992(7)]),flip(a)].

163960 a(x,y,C) * a(y,C,x) = a(x,C,y). [back_rewrite(76571),rewrite([163954(10)])].

163964 a(x,C,y) * a(x,C,y) = a(y,C,x). [back_rewrite(76823),rewrite([163960(10)])].

163976 $F. [back_rewrite(22),rewrite([163964(13),74414(8),72203(9)]),xx(a)].

============================== end of proof ==========================

% Proof 6 at 181.59 (+ 1.25) seconds.

% Length of proof is 1109.

% Level of proof is 58.

% Maximum clause weight is 3015.000.

% Given clauses 4714.

1 a(C,A,x) * (a(C,A,x) * a(C,A,x)) = 0 # label(non_clause) # label(goal). [goal].

2 0 * x = x. [assumption].

3 x * 0 = x. [assumption].

4 x * (x \ y) = y. [assumption].

5 x \ (x * y) = y. [assumption].

6 (x * y) / y = x. [assumption].

7 (x / y) * y = x. [assumption].

8 (x * (y * x)) * z = x * (y * (x * z)). [assumption].

9 x * ((y * A) * x) = (x * y) * (A * x). [assumption].

10 (x * y) * (A * x) = x * ((y * A) * x). [copy(9),flip(a)].

11 C * x = x * C. [assumption].

12 (x * y) * z = (x * (y * z)) * a(x,y,z). [assumption].

13 (x * (y * z)) * a(x,y,z) = (x * y) * z. [copy(12),flip(a)].

14 a(C,A,c1) * (a(C,A,c1) * a(C,A,c1)) != 0. [deny(1)].

16 x \ x = 0. [para(3(a,1),5(a,1,2))].

17 x / x = 0. [para(2(a,1),6(a,1,1))].

18 x / 0 = x. [para(3(a,1),6(a,1,1))].

19 x / (y \ x) = y. [para(4(a,1),6(a,1,1))].

20 (x / y) \ x = y. [para(7(a,1),5(a,1,2))].

21 (x * x) * y = x * (x * y). [para(2(a,1),8(a,1,1,2)),rewrite([2(5)])].

24 (x * (y * x)) \ (x * (y * (x * z))) = z. [para(8(a,1),5(a,1,2))].

25 (x * (y * (x * z))) / z = x * (y * x). [para(8(a,1),6(a,1,1))].

26 x * ((y / x) * (x * z)) = (x * y) * z. [para(7(a,1),8(a,1,1,2)),flip(a)].

29 x * (((x \ y) * A) * x) = y * (A * x). [para(4(a,1),10(a,1,1)),flip(a)].

32 (x * ((y * A) * x)) / (A * x) = x * y. [para(10(a,1),6(a,1,1))].

38 C \ (x * C) = x. [para(11(a,1),5(a,1,2))].

39 x \ (C * x) = C. [para(11(a,2),5(a,1,2))].

40 (x * C) / x = C. [para(11(a,1),6(a,1,1))].

41 (C * x) / C = x. [para(11(a,2),6(a,1,1))].

42 C * (x / C) = x. [para(11(a,2),7(a,1))].

43 (x * (x * C)) * y = x * (C * (x * y)). [para(11(a,1),8(a,1,1,2))].

45 (C * (C * x)) * y = C * (x * (C * y)). [para(11(a,2),8(a,1,1,2))].

46 C * (x * (y * x)) = x * (y * (x * C)). [para(11(a,2),8(a,1))].

47 C * (x * (y * x)) = x * (y * (C * x)). [para(11(a,2),8(a,2,2,2)),rewrite([11(4,R)])].

53 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(4(a,1),13(a,1,1,2))].

54 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(13(a,1),5(a,1,2))].

55 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(13(a,1),6(a,1,1))].

56 (x * y) * a(x,y / z,z) = (x * (y / z)) * z. [para(7(a,1),13(a,1,1,2))].

59 x * (y * (x * a(x,y,x))) = (x * y) * x. [para(13(a,1),8(a,1)),flip(a)].

66 (C * x) * y = (x * C) * y. [para(11(a,1),13(a,2,1)),rewrite([13(6)])].

67 (x * (C * y)) * a(x,y,C) = C * (x * y). [para(11(a,2),13(a,1,1,2)),rewrite([11(9,R)])].

68 (x * ((y * z) * u)) * a(x,y * (z * u),a(y,z,u)) = (x * (y * (z * u))) * a(y,z,u). [para(13(a,1),13(a,1,1,2))].

69 C \ x = x / C. [para(7(a,1),38(a,1,2))].

70 x / (x / C) = C. [para(7(a,1),40(a,1,1))].

75 x * (x * ((x * x) \ y)) = y. [para(21(a,1),4(a,1))].

77 (x * (x * y)) / y = x * x. [para(21(a,1),6(a,1,1))].

78 (x * (y * (y * x))) * z = x * (y * (y * (x * z))). [para(21(a,1),8(a,1,1,2)),rewrite([21(7)])].

82 C * (x * x) = x * (x * C). [para(21(a,1),11(a,2))].

84 C * (x * x) = x * (C * x). [para(11(a,2),21(a,2,2)),rewrite([11(3,R)])].

89 (x * C) * ((C * x) \ y) = y. [para(66(a,1),4(a,1))].

90 (C * x) * ((x * C) \ y) = y. [para(66(a,2),4(a,1))].

91 (C * x) \ ((x * C) * y) = y. [para(66(a,1),5(a,1,2))].

92 (x * C) \ ((C * x) * y) = y. [para(66(a,2),5(a,1,2))].

104 ((C * x) * y) * z = ((x * C) * y) * z. [para(66(a,1),13(a,2,1)),rewrite([13(8)])].

113 (C * (x * x)) * y = x * (C * (x * y)). [para(21(a,1),66(a,2,1)),rewrite([43(8)])].

114 x * ((x * x) \ y) = x \ y. [para(75(a,1),5(a,1,2)),flip(a)].

123 (x * y) / (x \ y) = x * x. [para(4(a,1),77(a,1,1,2))].

124 ((x / y) * x) / y = (x / y) * (x / y). [para(7(a,1),77(a,1,1,2))].

126 ((x * y) * (x * ((y * A) * x))) / (A * x) = (x * y) * (x * y). [para(10(a,1),77(a,1,1,2))].

136 x \ (C * (x * x)) = x * C. [para(82(a,2),5(a,1,2))].

138 C * ((x / C) * (x / C)) = (x / C) * x. [para(7(a,1),82(a,2,2))].

178 (C * x) \ y = (x * C) \ y. [para(89(a,1),5(a,1,2)),flip(a)].

205 (x * x) \ y = x \ (x \ y). [para(114(a,1),5(a,1,2)),flip(a)].

211 x / (y \ (y \ x)) = y * y. [para(114(a,1),77(a,1,1,2)),rewrite([4(2),205(2)])].

213 x / (x \ 0) = x * x. [para(3(a,1),123(a,1,1))].

218 (x * C) / (x / C) = C * C. [para(11(a,1),123(a,1,1)),rewrite([69(4)])].

229 (0 / x) * (0 / x) = (0 / x) / x. [para(20(a,1),213(a,1,2)),flip(a)].

237 (C * (x * x)) \ y = (x * (x * C)) \ y. [para(21(a,1),178(a,2,1))].

239 (C * (x * x)) \ y = (x * (C * x)) \ y. [para(84(a,1),178(a,1,1)),rewrite([11(7,R)]),flip(a)].

252 (0 / x) \ ((0 / x) / x) = 0 / x. [para(229(a,1),5(a,1,2))].

263 (x * (y * x)) \ (x * (y * z)) = x \ z. [para(4(a,1),24(a,1,2,2,2))].

285 (x * (y * z)) / (x \ z) = x * (y * x). [para(4(a,1),25(a,1,1,2,2))].

286 ((x / y) * (z * x)) / y = (x / y) * (z * (x / y)). [para(7(a,1),25(a,1,1,2,2))].

287 x * ((y / (x * z)) * x) = (x * y) / z. [para(7(a,1),25(a,1,1,2)),flip(a)].

295 C * (x * C) = x * (C * C). [para(25(a,1),41(a,1))].

300 ((x * C) * (y * ((C * x) * z))) / z = (C * x) * (y * (C * x)). [para(66(a,1),25(a,1,1))].

301 (C * x) * (y * (C * x)) = (x * C) * (y * (x * C)). [para(66(a,2),25(a,1,1,2,2)),rewrite([300(8)])].

317 (x * (C * C)) / C = x * C. [para(295(a,1),5(a,1,2)),rewrite([69(6)])].

318 x \ (C * (x * C)) = C * C. [para(295(a,2),5(a,1,2))].

320 (C * (x * C)) / (C * C) = x. [para(295(a,2),6(a,1,1))].

323 (x * (C * C)) * y = C * (x * (C * y)). [para(295(a,1),8(a,1,1))].

325 C * (x * (C * x)) = x * (x * (C * C)). [para(295(a,1),8(a,2,2)),rewrite([11(5,R)])].

331 C * (C * x) = x * (C * C). [para(11(a,2),295(a,1,2))].

336 C * (C * (x * x)) = x * (x * (C * C)). [para(295(a,2),21(a,1)),rewrite([11(4,R)])].

345 (x * (C * C)) / x = C * C. [para(295(a,1),123(a,1,1)),rewrite([69(8),6(8)])].

349 (C * (x * C)) \ y = (x * (C * C)) \ y. [para(295(a,1),178(a,1,1)),rewrite([11(9,R)]),flip(a)].

354 C * (x / (C * C)) = x / C. [para(7(a,1),317(a,1,1)),rewrite([11(8,R)]),flip(a)].

356 (x / C) \ (C * x) = C * C. [para(7(a,1),318(a,1,2,2))].

361 (C * x) / (C * C) = x / C. [para(7(a,1),320(a,1,1,2))].

381 x / (x / (C * C)) = C * C. [para(7(a,1),345(a,1,1))].

386 (x / C) / C = x / (C * C). [para(354(a,1),5(a,1,2)),rewrite([69(4)])].

391 (x / (C * C)) \ (x / C) = C. [para(354(a,1),39(a,1,2))].

398 (0 / C) \ C = C * C. [para(3(a,1),356(a,1,2))].

409 (x * C) / (C * C) = x / C. [para(11(a,1),361(a,1,1))].

413 (x / (C * C)) / C = (x / C) / (C * C). [para(354(a,1),361(a,1,1)),flip(a)].

414 (0 / C) \ (0 / (C * C)) = 0 / C. [para(386(a,1),252(a,1,2))].

421 (x * y) * (x \ z) = x * ((y / x) * z). [para(4(a,1),26(a,1,2,2)),flip(a)].

422 x \ ((x * y) * z) = (y / x) * (x * z). [para(26(a,1),5(a,1,2))].

430 C * ((x / C) * (y * C)) = (C * x) * y. [para(11(a,1),26(a,1,2,2))].

431 x * ((y / x) * (C * x)) = C * (x * y). [para(11(a,2),26(a,1,2,2)),rewrite([11(8,R)])].

436 ((C * x) * y) / C = (x / C) * (C * y). [para(26(a,1),41(a,1,1))].

437 (C * x) * (y / C) = C * ((x / C) * y). [para(42(a,1),26(a,1,2,2)),flip(a)].

447 C * (((x / C) * (C * y)) * ((x / C) * (C * y))) = ((x / C) * (C * y)) * ((C * x) * y). [para(26(a,1),84(a,2,2))].

460 C * ((x / C) * (y * (C * C))) = (C * x) * (y * C). [para(295(a,1),26(a,1,2,2))].

462 (C * (x * (C * C))) * y = C * ((x * C) * (C * y)). [para(317(a,1),26(a,1,2,1)),flip(a)].

466 (C * x) * (y / (C * C)) = C * ((x / C) * (y / C)). [para(354(a,1),26(a,1,2,2)),flip(a)].

468 ((x / C) * (C * y)) / C = ((C * x) * y) / (C * C). [para(26(a,1),361(a,1,1)),flip(a)].

470 (x * y) * ((z / x) * (x * u)) = x * ((y / x) * ((x * z) * u)). [para(26(a,1),26(a,1,2,2)),flip(a)].

474 x * (((x \ y) * A) * (x * z)) = (y * (A * x)) * z. [para(29(a,1),8(a,1,1)),flip(a)].

499 (x * (y * x)) / (A * x) = x * (y / A). [para(7(a,1),32(a,1,1,2,1))].

505 x * (C * y) = x * (y * C). [para(66(a,1),32(a,1,1,2,1)),rewrite([499(9),6(6)]),flip(a)].

517 (x / (C * y)) * (y * C) = x. [para(505(a,1),7(a,1))].

518 (x / (y * C)) * (C * y) = x. [para(505(a,2),7(a,1))].

530 (C * x) * (y * C) = (x * C) * (C * y). [para(505(a,1),66(a,1))].

531 (C * x) * (C * y) = (x * C) * (y * C). [para(505(a,1),66(a,2))].

546 x * (C * (C * y)) = x * (y * (C * C)). [para(331(a,1),505(a,1,2)),rewrite([11(9,R)]),flip(a)].

550 x / (C * y) = x / (y * C). [para(517(a,1),6(a,1,1)),flip(a)].

565 x * ((y / (C * x)) * x) = (x * y) / C. [para(517(a,1),25(a,1,1,2)),flip(a)].

577 C * (C * (x / (y * C))) = (C * x) / y. [para(518(a,1),25(a,1,1,2)),rewrite([11(9,R)]),flip(a)].

694 (x / C) * (C * x) = C * ((x / C) * x). [para(42(a,1),46(a,1,2,2)),rewrite([11(12,R),42(12)]),flip(a)].

724 C * ((x / (C * C)) * (x / C)) = (x / (C * C)) * x. [para(354(a,1),46(a,1,2,2)),rewrite([11(20,R),354(20),42(17)])].

876 (x * (C * x)) \ y = (x * (x * C)) \ y. [para(84(a,1),237(a,1,1))].

919 (x * (y * x)) \ (x * z) = x \ (y \ z). [para(4(a,1),263(a,1,2,2))].

944 x \ (C * y) = x \ (y * C). [para(84(a,2),263(a,1,2,2)),rewrite([919(7),136(4)]),flip(a)].

957 (x * (C * x)) \ (C * (C * x)) = x \ C. [para(331(a,2),263(a,1,2))].

988 (C * x) \ (y * C) = (x * C) \ (C * y). [para(944(a,1),178(a,1))].

989 (C * x) \ (C * y) = (x * C) \ (y * C). [para(944(a,1),178(a,2))].

1005 (x * y) / (x \ z) = x * ((y / z) * x). [para(7(a,1),285(a,1,1,2))].

1020 ((0 / C) * (x * (0 / (C * C)))) / (0 / C) = (0 / C) * (x * (0 / C)). [para(414(a,1),285(a,1,2))].

1033 x \ ((x * y) / z) = (y / (x * z)) * x. [para(287(a,1),5(a,1,2))].

1048 (C * x) / (y / C) = C * (C * (x / y)). [para(42(a,1),287(a,1,2,1,2)),rewrite([11(4,R)]),flip(a)].

1057 x * ((y / (C * (x * x))) * x) = (x * y) / (x * C). [para(82(a,2),287(a,1,2,1,2))].

1076 (x * y) * ((z / (x * u)) * x) = x * ((y / x) * ((x * z) / u)). [para(287(a,1),26(a,1,2,2)),flip(a)].

1080 (x * (C * y)) / z = (x * (y * C)) / z. [para(505(a,1),287(a,2,1)),rewrite([287(6)])].

1151 (C * (x * (C * x))) \ y = (x * (x * (C * C))) \ y. [para(325(a,1),178(a,1,1)),rewrite([11(11,R)]),flip(a)].

1211 (C * (C * (x * x))) \ y = (x * (x * (C * C))) \ y. [para(336(a,1),178(a,1,1)),rewrite([11(11,R)]),flip(a)].

1261 x * ((0 / x) * y) = y. [para(3(a,1),421(a,1,1)),rewrite([4(2)]),flip(a)].

1268 (x * C) * (y / C) = C * ((x / C) * y). [para(11(a,1),421(a,1,1)),rewrite([69(4)])].

1269 (C * x) * (x \ y) = x * ((C / x) * y). [para(11(a,2),421(a,1,1))].

1272 C * ((x / (C * C)) * y) = x * (y / C). [para(42(a,1),421(a,1,1)),rewrite([69(2),386(8)]),flip(a)].

1282 x * ((0 / x) / x) = 0 / x. [para(229(a,1),421(a,2,2)),rewrite([3(2),4(4)]),flip(a)].

1286 (0 / C) * (C * (x / (0 / C))) = C * x. [para(398(a,1),421(a,1,2)),rewrite([295(8,R),11(7,R),1261(7),11(11,R)]),flip(a)].

1301 (x * (y * (x * C))) * (z / C) = C * (((x * (y * x)) / C) * z). [para(46(a,1),421(a,1,1)),rewrite([69(6)])].

1310 ((x * y) / z) * (x \ u) = x * ((y / (x * z)) * u). [para(287(a,1),421(a,1,1)),rewrite([6(8)])].

1318 (x / (C * C)) * x = x * (x / (C * C)). [back_rewrite(724),rewrite([1272(9),386(4)]),flip(a)].

1326 x * (0 / x) = 0. [para(3(a,1),1261(a,1,2))].

1327 (0 / x) \ y = x * y. [para(4(a,1),1261(a,1,2)),flip(a)].

1328 (0 / x) * y = x \ y. [para(1261(a,1),5(a,1,2)),flip(a)].

1334 (x \ y) / y = 0 / x. [para(1261(a,1),25(a,1,1,2)),rewrite([1328(3),1326(7),3(6)])].

1336 (x / (0 / y)) * (y \ z) = y * ((y \ x) * z). [para(26(a,1),1261(a,1,2)),rewrite([1328(3),1328(9)]),flip(a)].

1338 x * (0 / C) = x / C. [para(1261(a,1),46(a,1)),rewrite([11(12,R),1326(12),3(9),1328(8),69(6)])].

1340 (x / (y \ z)) * (0 / y) = y * ((y \ x) / z). [para(287(a,1),1261(a,1,2)),rewrite([1328(3),1328(6)]),flip(a)].

1355 x / (0 / C) = C * x. [back_rewrite(1286),rewrite([1328(10),5(8)])].

1358 x * (0 / (C * C)) = x / (C * C). [back_rewrite(1020),rewrite([1328(10),69(8),1355(12),42(10),1338(13),1328(12),69(10),386(10)])].

1372 x \ (0 / x) = (0 / x) / x. [back_rewrite(229),rewrite([1328(5)])].

1379 x \ 0 = 0 / x. [para(1326(a,1),5(a,1,2))].

1389 x / (0 / x) = x * x. [para(1326(a,1),77(a,1,1,2)),rewrite([3(2)])].

1390 (x * y) / (0 / x) = x * (y * x). [para(1326(a,1),25(a,1,1,2,2)),rewrite([3(2)])].

1391 (x * y) * (0 / x) = x * (y / x). [para(1326(a,1),26(a,1,2,2)),rewrite([3(3)]),flip(a)].

1404 (0 / x) / x = 0 / (x * x). [para(1379(a,1),205(a,1)),rewrite([1379(5),1372(6)]),flip(a)].

1410 x \ (0 / x) = 0 / (x * x). [back_rewrite(1372),rewrite([1404(6)])].

1423 x * (0 / (x * x)) = 0 / x. [back_rewrite(1282),rewrite([1404(3)])].

1429 x / (y * x) = 0 / y. [para(1327(a,1),19(a,1,2))].

1430 x / (y * (y * x)) = 0 / (y * y). [para(1327(a,1),211(a,1,2,2)),rewrite([1327(4),1328(8),1410(6)])].

1431 x \ ((y / (0 / x)) * z) = (x \ y) * (x * z). [para(1327(a,1),421(a,1,2)),rewrite([1328(3),1328(10)]),flip(a)].

1432 (x * (y \ x)) * z = x * (y \ (x * z)). [para(1328(a,1),8(a,1,1,2)),rewrite([1328(7)])].

1433 (x \ (y * (0 / x))) * z = x \ (y * (x \ z)). [para(1328(a,1),8(a,1,1)),rewrite([1328(10),1328(10)])].

1435 C * (0 / x) = x \ C. [para(1328(a,1),11(a,2))].

1443 x \ (C * C) = C * (x \ C). [para(1328(a,1),295(a,2)),rewrite([11(5,R),1435(5)]),flip(a)].

1444 x * (C * (x \ C)) = C * C. [para(1328(a,1),318(a,1,2,2)),rewrite([1327(7)])].

1446 (x \ C) / (C * C) = (0 / x) / C. [para(1328(a,1),409(a,1,1))].

1451 x * ((x * y) \ x) = x / y. [para(1328(a,1),287(a,1,2)),rewrite([3(5)])].

1459 0 / (x / y) = y / x. [para(20(a,1),1334(a,1,1)),flip(a)].

1460 C / (C * x) = 0 / x. [para(39(a,1),1334(a,1,1))].

1461 (x / C) / x = 0 / C. [para(69(a,1),1334(a,1,1))].

1465 (C * C) / x = C / (x / C). [para(391(a,1),1334(a,1,1)),rewrite([1459(10)]),flip(a)].

1470 x \ (x / C) = 0 / C. [para(1338(a,1),5(a,1,2))].

1471 (x * (y / C)) / C = (x / (C * C)) * y. [para(1338(a,1),8(a,1,1,2)),rewrite([1328(6),69(4),386(4),1328(12),69(10),1328(12),69(10)]),flip

(a)].

1472 (x * (y * x)) / C = x * (y * (x / C)). [para(1338(a,1),8(a,1)),rewrite([1338(8)])].

1477 (x * x) / C = x * (x / C). [para(1338(a,1),21(a,1)),rewrite([1338(7)])].

1478 C * (x * (x / C)) = x * x. [para(1338(a,1),77(a,1,1,2)),rewrite([1355(7)])].

1483 x * ((y / x) * (x / C)) = (x * y) / C. [para(1338(a,1),26(a,1,2,2)),rewrite([1338(10)])].

1488 x \ (0 / C) = (0 / x) / C. [para(1338(a,1),1328(a,1)),flip(a)].

1492 (x * (y * (x * C))) * (z / C) = C * ((x * (y * (x / C))) * z). [back_rewrite(1301),rewrite([1472(12)])].

1508 (C * x) * (C * x) = C * ((C * x) * x). [para(1355(a,1),124(a,1,1,1)),rewrite([1355(7),1355(9),1355(11)]),flip(a)].

1538 (x * C) * (C * x) = C * ((C * x) * x). [para(66(a,1),1389(a,2)),rewrite([1389(7),1508(5)]),flip(a)].

1539 (C * x) * (x * C) = C * ((C * x) * x). [para(505(a,1),1389(a,2)),rewrite([1389(7),1508(5)]),flip(a)].

1540 (x * C) * (x * C) = C * ((C * x) * x). [para(505(a,2),1389(a,2)),rewrite([1389(7),1538(10)])].

1548 x / (y * (z * (y * x))) = 0 / (y * (z * y)). [para(8(a,1),1429(a,1,2))].

1550 x / (x * C) = 0 / C. [para(11(a,1),1429(a,1,2))].

1551 a(x,y,z) / ((x * y) * z) = 0 / (x * (y * z)). [para(13(a,1),1429(a,1,2))].

1582 C * (C * (x / (y \ C))) = (C * x) / (0 / y). [para(1435(a,1),287(a,1,2,1,2)),rewrite([11(6,R)])].

1583 C * (((0 / x) / C) * y) = (x \ C) * (y / C). [para(1435(a,1),421(a,1,1)),rewrite([69(4)]),flip(a)].

1587 C / (x * (C * C)) = 0 / (x * C). [para(317(a,1),1459(a,1,2)),flip(a)].

1588 x / (x * (C * C)) = 0 / (C * C). [para(345(a,1),1459(a,1,2)),flip(a)].

1592 C / (x / (C * C)) = C * (C * (C / x)). [para(413(a,1),1459(a,1,2)),rewrite([1459(8),1048(6)]),flip(a)].

1594 (x / y) * ((y / x) * z) = z. [para(1459(a,1),421(a,2,2,1)),rewrite([3(3),4(4)]),flip(a)].

1595 (x / y) \ z = (y / x) * z. [para(1459(a,1),1327(a,1,1))].

1596 (0 / C) / x = 0 / (C * x). [para(1355(a,1),1459(a,1,2)),flip(a)].

1623 x * ((C / x) * ((C * x) * y)) = C * (x * (C * y)). [para(1460(a,1),26(a,1,2,1)),rewrite([1328(8),1269(7),11(11,R),45(12)])].

1624 0 / ((x / C) * (C * y)) = C / ((C * x) * y). [para(26(a,1),1460(a,1,2)),flip(a)].

1628 C / (x / C) = C * (x \ C). [para(1460(a,1),287(a,1,2,1)),rewrite([11(5,R),1435(5),1465(8)]),flip(a)].

1636 (C * C) / x = C * (x \ C). [back_rewrite(1465),rewrite([1628(8)])].

1637 (x * (x / C)) * y = x * ((x * y) / C). [para(1461(a,1),26(a,1,2,1)),rewrite([1328(5),69(3)]),flip(a)].

1671 (x * C) * (C / x) = C * C. [para(1443(a,1),89(a,1,2)),rewrite([1451(8)])].

1673 C * ((x * C) \ C) = C / x. [para(1443(a,1),178(a,1)),rewrite([1451(6),1443(8)]),flip(a)].

1697 x / (x \ y) = x * (y \ x). [para(4(a,1),1451(a,1,2,1)),flip(a)].

1698 (x * y) \ x = x \ (x / y). [para(1451(a,1),5(a,1,2)),flip(a)].

1713 x / ((y / x) * (x * z)) = x * (((x * y) * z) \ x). [para(26(a,1),1451(a,1,2,1)),flip(a)].

1718 x * ((C * (x * (y * x))) \ x) = x / (y * (x * C)). [para(46(a,2),1451(a,1,2,1))].

1731 C * ((x \ C) \ C) = C / (0 / x). [para(1435(a,1),1451(a,1,2,1))].

1733 x * ((0 / x) / C) = 0 / C. [para(1550(a,1),1451(a,2)),rewrite([1698(4),1550(3),1488(4)])].

1735 x / (C * (x \ C)) = x * (x / (C * C)). [para(1444(a,1),1451(a,1,2,1)),rewrite([205(4),69(3),69(4),386(4)]),flip(a)].

1756 0 / (x * (x / C)) = C / (x * x). [para(1477(a,1),1459(a,1,2))].

1780 C * ((x * (x / (C * C))) * y) = x * (x * (y / C)). [para(1478(a,1),421(a,1,1)),rewrite([69(3),21(4),1471(10),1318(10)]),flip(a)].

1825 (x * (x / C)) \ y = (C / (x * x)) * y. [para(1477(a,1),1595(a,1,1))].

1830 x * ((C * (x * y)) \ x) = (x / C) / y. [para(1596(a,1),287(a,1,2,1)),rewrite([1328(6),1338(9)])].

1831 (x / C) / (y * x) = x / (y * (x * C)). [back_rewrite(1718),rewrite([1830(6)])].

1832 C / (x * (x / C)) = C * (x \ (x \ C)). [para(205(a,1),1628(a,2,2)),rewrite([1477(4)])].

1835 (x / C) * (C * (x \ (C * y))) = x * ((C / x) * y). [para(1628(a,1),421(a,2,2,1)),rewrite([11(4,R),42(4),1595(3),1432(11)]),flip(a)].

1850 (C / x) / (C * C) = 0 / (x * C). [para(1671(a,1),1429(a,1,2))].

1851 (x * C) \ C = (C / x) / C. [para(1673(a,1),5(a,1,2)),rewrite([69(4)]),flip(a)].

1853 (C / x) * (y / C) = C * ((x * C) \ y). [para(1673(a,1),421(a,1,1)),rewrite([69(4),1851(10),386(12),1850(12),1328(11)])].

1854 x * ((y / (x / y)) * x) = (x * y) * y. [para(5(a,1),1697(a,2,2)),rewrite([1698(3),1005(4)])].

1869 x \ (y \ (0 / x)) = (0 / x) / (x * y). [para(1328(a,1),1697(a,2)),rewrite([1595(5),18(4)]),flip(a)].

1871 x / ((0 / x) / C) = x * (C * x). [para(1488(a,1),1697(a,1,2)),rewrite([1595(9),18(8)])].

1872 (0 / x) / (C * C) = 0 / (C * (C * x)). [para(1488(a,1),1697(a,2,2)),rewrite([1595(7),18(6),1596(6),1328(14),69(12),386(12)]),flip(a)].

1880 (x * (y * z)) \ ((x * (y * z)) / a(x,y,z)) = ((x * y) * z) \ (x * (y * z)). [para(13(a,1),1698(a,1,1)),flip(a)].

1911 ((x * y) * z) * (x \ (x / y)) = x * ((y / x) * ((x * z) / y)). [para(1698(a,1),421(a,1,2)),rewrite([1076(10)])].

1914 (x \ (x / y)) / x = 0 / (x * y). [para(1698(a,1),1334(a,1,1))].

1929 (x * y) / ((0 / x) / C) = x * ((C * y) * x). [para(1733(a,1),287(a,1,2,1,2)),rewrite([1355(4)]),flip(a)].

1932 (x * C) \ ((C / x) / C) = (C / ((C * x) * x)) / C. [para(1851(a,1),205(a,2,2)),rewrite([1540(5),1698(7),69(7)]),flip(a)].

1937 x \ (x / (C * C)) = 0 / (C * C). [para(1358(a,1),5(a,1,2))].

1941 (x * (y * x)) / (C * C) = x * (y * (x / (C * C))). [para(1358(a,1),8(a,1)),rewrite([1358(12)])].

1967 x * ((x \ y) * x) = y / (0 / x). [para(4(a,1),1390(a,1,1)),flip(a)].

1971 (C * x) / (0 / x) = x * (C * x). [para(11(a,2),1390(a,1,1))].

1973 x \ (y * (0 / x)) = (x \ y) / x. [para(19(a,1),1390(a,1,2)),rewrite([1379(2),1328(3),1379(4),1379(6),1328(8)]),flip(a)].

1974 x / (C / x) = (x / C) * x. [para(42(a,1),1390(a,2,2)),rewrite([11(4,R),42(4),1459(4)])].

1999 (x / C) / (0 / x) = x * (x / C). [para(1338(a,1),1390(a,1,1)),rewrite([1328(9),69(7)])].

2000 x \ (x \ C) = (x \ C) / x. [para(1435(a,1),1390(a,2,2)),rewrite([11(4,R),1435(4),1459(6),18(4),1328(8)]),flip(a)].

2001 (0 / x) / (x * y) = 0 / (x * (y * x)). [para(1390(a,1),1459(a,1,2)),flip(a)].

2015 x \ (y * (x \ z)) = ((x \ y) / x) * z. [back_rewrite(1433),rewrite([1973(4)]),flip(a)].

2019 C / (x * (x / C)) = C * ((x \ C) / x). [back_rewrite(1832),rewrite([2000(9)])].

2022 x \ (y \ (0 / x)) = 0 / (x * (y * x)). [back_rewrite(1869),rewrite([2001(8)])].

2038 ((x / C) * x) \ y = ((C / x) / x) * y. [para(1974(a,1),1595(a,1,1))].

2046 (C / ((C * x) * x)) / C = ((C / x) / C) / (C * x). [para(2000(a,1),178(a,1)),rewrite([1698(4),69(4),1698(13),69(13),1932(14)]),flip(a)]

.

2047 (C * x) \ ((C / x) / C) = ((C / x) / C) / (x * C). [para(2000(a,1),178(a,2)),rewrite([1851(6),1851(11)])].

2060 (x * C) \ ((C / x) / C) = ((C / x) / C) / (C * x). [back_rewrite(1932),rewrite([2046(14)])].

2062 x * ((x \ y) / x) = y * (0 / x). [para(4(a,1),1391(a,1,1)),flip(a)].

2067 A * (0 / x) = A / x. [para(1391(a,1),10(a,2,2)),rewrite([7(3),2(6),1328(10),5(8)])].

2069 (C * x) * (0 / x) = x * (C / x). [para(11(a,2),1391(a,1,1))].

2072 (x * (y * z)) * (a(x,y,z) / (x * (y * z))) = ((x * y) * z) * (0 / (x * (y * z))). [para(13(a,1),1391(a,1,1)),flip(a)].

2073 x \ (y / (0 / x)) = (x \ y) * x. [para(19(a,1),1391(a,1,2)),rewrite([1379(2),1328(3),1379(4),1379(6),1328(8)]),flip(a)].

2099 ((x * y) / z) * (0 / x) = x * (y / (x * z)). [para(287(a,1),1391(a,1,1)),rewrite([6(9)])].

2107 C * (x * (x / (C * C))) = x * (x / C). [para(1478(a,1),1391(a,1,1)),rewrite([1338(5),1477(3),1471(9),1318(9)]),flip(a)].

2108 (x / C) * (C * (x \ C)) = x * (C / x). [para(1628(a,1),1391(a,2,2)),rewrite([11(4,R),42(4),1459(4)]),flip(a)].

2118 A \ (A / x) = 0 / x. [para(2067(a,1),5(a,1,2))].

2130 (0 / x) / (A / x) = 0 / A. [para(2067(a,1),1429(a,1,2))].

2135 0 / (x \ A) = A \ x. [para(19(a,1),2118(a,1,2)),flip(a)].

2153 (A \ x) * ((x \ A) * y) = y. [para(2135(a,1),1594(a,1,1)),rewrite([18(6)])].

2154 (A \ x) \ y = (x \ A) * y. [para(2135(a,1),1595(a,1,1)),rewrite([18(7)])].

2320 C / ((x \ C) * (x \ C)) = 0 / ((x \ C) * (0 / x)). [para(1334(a,1),1756(a,1,2,2)),flip(a)].

2339 ((C / x) / C) / (x * C) = 0 / ((x * C) * x). [para(40(a,1),1914(a,1,1,2)),rewrite([1851(4)])].

2341 (x \ C) / x = C / (x * x). [para(70(a,1),1914(a,1,1,2)),rewrite([1756(8)])].

2350 0 / (C * ((x / C) * x)) = (C / x) / (x * C). [para(218(a,1),1914(a,1,1,2)),rewrite([1443(6),1851(5),42(6),1268(11)]),flip(a)].

2352 (0 / (C * C)) / x = 0 / (C * (x * C)). [para(295(a,2),1914(a,2,2)),rewrite([1937(5)])].

2361 ((C / x) / C) / (C * x) = 0 / ((x * C) * x). [para(1914(a,1),138(a,2,1)),rewrite([69(5),386(7),1850(7),69(9),386(11),1850(11),1328(10),

1410(8),1540(7),1435(9),1698(7),69(7),2046(7),69(15),1328(16),2047(14),2339(14)])].

2372 (x / y) * (x \ z) = x * ((x * y) \ z). [para(1914(a,1),421(a,2,2,1)),rewrite([4(3),1328(7)])].

2373 ((x * y) \ (x * ((y / z) * x))) / (x * y) = 0 / (x * ((y / x) * z)). [para(421(a,1),1914(a,2,2)),rewrite([1005(4)])].

2381 (C / (x * x)) / C = 0 / (x * x). [para(1478(a,1),1914(a,2,2)),rewrite([2019(6),2341(5),5(7)])].

2385 (x / y) * (0 / x) = x * (0 / (x * y)). [para(1914(a,1),1391(a,2,2)),rewrite([4(3)])].

2389 (C * x) \ ((C / x) / C) = 0 / ((x * C) * x). [back_rewrite(2047),rewrite([2339(14)])].

2404 x \ (x \ C) = C / (x * x). [back_rewrite(2000),rewrite([2341(6)])].

2410 (x * C) \ ((C / x) / C) = 0 / ((x * C) * x). [back_rewrite(2060),rewrite([2361(14)])].

2413 (C / ((C * x) * x)) / C = 0 / ((x * C) * x). [back_rewrite(2046),rewrite([2361(14)])].

2436 x * ((C / (x * x)) * y) = C * (x \ y). [para(2341(a,1),421(a,2,2,1)),rewrite([4(3)]),flip(a)].

2506 x / (0 / (C * y)) = x / (0 / (y * C)). [para(550(a,1),1967(a,2,2)),rewrite([1967(9)])].

2528 ((x \ y) * x) / (x * (y / (0 / x))) = 0 / (x * x). [para(1967(a,1),1430(a,1,2,2))].

2539 (0 / x) / (C * x) = 0 / (x * (C * x)). [para(1971(a,1),1459(a,1,2)),flip(a)].

2575 (C * (x \ C)) / x = C * (C / (x * x)). [para(1443(a,1),1973(a,2,1)),rewrite([21(6),1435(5),2015(5),2341(3),11(5,R)]),flip(a)].

2589 x / (0 / (C * x)) = (C * x) * x. [para(41(a,1),1999(a,1,1)),rewrite([41(11)])].

2599 (0 / x) / (x / C) = C / (x * x). [para(1999(a,1),1459(a,1,2)),rewrite([1756(5)]),flip(a)].

2642 ((C * x) * (y * (x * (C / x)))) / (0 / x) = (C * x) * (y * (C * x)). [para(2069(a,1),25(a,1,1,2,2))].

2643 (x / (C * C)) * (C * (C * (C / x))) = x * (C / x). [para(354(a,1),2069(a,1,1)),rewrite([1459(8),1636(6),2108(7),1592(13)]),flip(a)].

2693 (C * (C / (x * x))) * y = C * (x \ (x \ (C * y))). [para(2381(a,1),26(a,1,2,1)),rewrite([1328(7),205(5)]),flip(a)].

2711 ((x / C) * (C * y)) / (0 / ((C * x) * y)) = ((C * x) * y) * ((x / C) * (C * y)). [para(26(a,1),2589(a,1,2,2)),rewrite([26(18)])].

2739 (0 / (x \ C)) / (0 / x) = 0 / ((x \ C) * (0 / x)). [para(1334(a,1),2599(a,1,2)),rewrite([2320(14)])].

2755 ((x \ y) / x) * (x * z) = x \ (y * z). [para(4(a,1),422(a,1,2,1)),flip(a)].

2760 ((x * C) * y) / C = (x / C) * (C * y). [para(11(a,1),422(a,1,2,1)),rewrite([69(5)])].

2761 x \ ((C * x) * y) = (C / x) * (x * y). [para(11(a,2),422(a,1,2,1))].

2762 x \ (C * (x * y)) = (y / x) * (x * C). [para(11(a,2),422(a,1,2))].

2765 (x / (C * C)) * (C * y) = (x * y) / C. [para(42(a,1),422(a,1,2,1)),rewrite([69(3),386(7)]),flip(a)].

2776 ((C * x) / y) * (y * C) = C * ((x / y) * (y * C)). [para(295(a,2),422(a,1,2,1)),rewrite([8(5),2762(6),1636(10),1432(12),2762(11)])].

2777 x \ (C * (C * (x * y))) = (y / x) * (x * (C * C)). [para(295(a,2),422(a,1,2)),rewrite([11(4,R)])].

2794 x \ (((x * y) / z) * u) = (y / (x * z)) * (x * u). [para(287(a,1),422(a,1,2,1)),rewrite([6(8)])].

2803 (C * x) \ (x * y) = x \ ((x / C) * y). [para(1338(a,1),422(a,1,2,1)),rewrite([1596(8),1328(10)]),flip(a)].

2804 (x / (y * C)) * y = (x / y) * (y / C). [para(1338(a,1),422(a,1,2)),rewrite([1033(4),1338(9)])].

2809 C * (x \ ((y / x) * (x * C))) = x \ (C * (C * y)). [para(1444(a,1),422(a,1,2,1)),rewrite([21(4),2575(10),2693(12),2762(10)]),flip(a)].

2812 C * (x \ (C * ((x / C) * y))) = (C / x) * (x * y). [para(1628(a,1),422(a,2,1)),rewrite([11(6,R),42(6),1595(4),1432(12)]),flip(a)].

2816 (C * (x * C)) \ (x * y) = x \ ((x / (C * C)) * y). [para(1358(a,1),422(a,1,2,1)),rewrite([2352(12),1328(14)]),flip(a)].

2827 (x * y) \ (x * z) = x \ ((x / y) * z). [para(1914(a,1),422(a,2,1)),rewrite([4(3),1328(8)]),flip(a)].

2828 (C / (x * x)) * (x * y) = x \ (C * y). [para(2341(a,1),422(a,2,1)),rewrite([4(3)]),flip(a)].

2832 (x * (C / x)) / C = x * ((C / x) / C). [para(2069(a,1),422(a,1,2)),rewrite([69(5),1435(11),2372(10),1851(9)])].

2835 (x * (C * (C / x))) / C = x * (C / x). [back_rewrite(2643),rewrite([2765(11)])].

2853 (x \ ((x / y) * ((y / z) * x))) / (x * y) = 0 / (x * ((y / x) * z)). [back_rewrite(2373),rewrite([2827(5)])].

2865 (x * C) \ (y * C) = ((C / x) * y) / C. [back_rewrite(989),rewrite([2827(5),69(5)]),flip(a)].

2902 (C * x) * ((y / C) * (z * C)) = C * ((x / C) * ((C * y) * z)). [para(430(a,1),26(a,1,2,2)),flip(a)].

2939 ((C / x) * ((x * C) * y)) / C = (y / (x * C)) * (C * (x * C)). [para(431(a,1),91(a,1,2)),rewrite([2827(8),69(8)])].

2966 (x / (y / z)) * (C * (y / z)) = (z / y) * (C * ((y / z) * x)). [para(431(a,1),1594(a,1,2)),flip(a)].

2968 x \ (x / ((y / x) * (C * x))) = (C * (x * y)) \ x. [para(431(a,1),1698(a,1,1)),flip(a)].

2978 C * (x * (C / x)) = x * (C * (C / x)). [para(2069(a,1),431(a,2,2)),rewrite([2539(7),1328(12),957(10),1269(5),11(4,R)]),flip(a)].

2993 C * (((C * x) * y) * ((x / C) * (C * y))) = ((C * x) * y) * ((C * x) * y). [para(436(a,1),1478(a,1,2,2))].

3011 (x / C) * ((C * y) * x) = (C * x) * ((y / C) * x). [para(437(a,1),46(a,1,2,2)),rewrite([26(10),11(14,R),42(14)]),flip(a)].

3014 ((C * x) / y) * (z / C) = C * ((x / (C * y)) * z). [para(287(a,1),437(a,1,1)),rewrite([11(12,R),41(14)])].

3020 C * ((x / C) * ((C / y) / C)) = (C * x) * (0 / (C * y)). [para(1914(a,1),437(a,1,2)),rewrite([69(14)]),flip(a)].

3026 (x * y) / (A * x) = x * ((y / x) / A). [para(7(a,1),499(a,1,1,2))].

3068 x \ (x / A) = 0 / A. [para(1326(a,1),499(a,1,1,2)),rewrite([3(4),2067(6),2130(5),1328(8)]),flip(a)].

3088 (A \ x) * (0 / x) = 0 / A. [para(2153(a,1),499(a,1,1)),rewrite([4(6),1334(3),1334(9)]),flip(a)].

3099 x * (0 / A) = x / A. [para(3068(a,1),4(a,1,2))].

3359 (x * (C * (C * y))) / z = (x * (y * (C * C))) / z. [para(546(a,1),287(a,2,1)),rewrite([287(8)])].

3393 (x / (C * y)) * y = (x / y) * (y / C). [para(565(a,1),5(a,1,2)),rewrite([1033(4),2804(4)]),flip(a)].

3402 (x * C) * ((y / x) * (x / C)) = (x / C) * (C * y). [para(565(a,1),66(a,1)),rewrite([436(5),3393(15),41(14),3393(11)]),flip(a)].

3414 (x * y) * ((z / x) * (x / C)) = x * ((y / x) * ((x * z) / C)). [para(565(a,1),26(a,1,2,2)),rewrite([3393(11)]),flip(a)].

3438 (x / (y / z)) * ((y / z) / C) = (z / y) * (((y / z) * x) / C). [para(565(a,1),1594(a,1,2)),rewrite([3393(12)]),flip(a)].

3461 x * (C * (C * ((y / x) * (x / C)))) = (x * (y * (C * C))) / C. [para(546(a,1),565(a,2,1)),rewrite([3393(8),3014(8),3393(7),3014(7),3393

(6)])].

3463 x * (C * (x \ ((x / C) * y))) = (x / C) * (C * y). [back_rewrite(3402),rewrite([3414(7),1853(6),2827(5)])].

3480 C * ((x / (y * C)) * (C * z)) = ((C * x) / y) * z. [para(577(a,1),26(a,2,1)),rewrite([41(8)])].

3494 ((x * C) * x) \ C = ((C / x) / C) / x. [para(1404(a,1),577(a,1,2,2)),rewrite([1540(8),1435(10),1698(8),69(8),2413(8),1435(7),1435(11),1

851(9)])].

3495 ((x * C) / y) / C = C * (x / (C * y)). [para(577(a,1),1698(a,1,1)),rewrite([1595(5),11(5,R),1460(13),1459(11),69(10)]),flip(a)].

3501 C * (((C * x) * x) \ C) = (C / x) / x. [para(2341(a,1),577(a,1,2,2)),rewrite([1540(8),1460(9),1435(8),1851(12),42(13)])].

3535 ((x \ C) * (0 / x)) \ C = (x \ C) \ (C / (0 / x)). [para(1731(a,1),694(a,1,2)),rewrite([1334(6),1328(9),1334(14),1328(17),2404(15),2320

(15),1435(16)]),flip(a)].

3537 (C * x) \ (C / x) = ((C / x) / C) / x. [para(1914(a,1),694(a,1,1)),rewrite([69(9),42(10),1328(7),69(10),386(12),1850(12),69(14),1328(15

),2410(13),1435(12),3494(10)])].

3538 (x * C) \ (C / x) = ((C / x) / C) / x. [para(1914(a,1),694(a,2,2,1)),rewrite([69(4),386(6),1850(6),69(9),42(10),1328(7),69(14),1328(15)

,2389(13),1435(12),3494(10)])].

3540 (C / x) * ((C * ((x / C) * x)) * y) = C * (C * ((x / C) * y)). [para(694(a,1),422(a,1,2,1)),rewrite([1595(9),1048(14),17(12),3(13),21(1

6)])].

3624 (x * C) \ (C * y) = ((C / x) * y) / C. [para(11(a,1),988(a,1,1)),rewrite([2865(5)]),flip(a)].

3625 (C * x) \ (y * C) = ((C / x) * y) / C. [para(11(a,1),988(a,2,2)),rewrite([2865(10)])].

3653 C * ((C * x) * ((((C / x) * y) / C) * x)) = (y * C) / (0 / (C * x)). [para(988(a,1),1967(a,1,2,1)),rewrite([3624(7),470(11),3011(10)])]

.

3654 (x * C) * ((((C / x) * y) / C) * (x * C)) = (C * y) / (0 / (x * C)). [para(988(a,2),1967(a,1,2,1)),rewrite([3625(7)])].

3655 ((C / x) * ((C * x) * y)) / C = (y / (C * x)) * (C * (C * x)). [para(988(a,1),422(a,1)),rewrite([3624(8),11(15,R)])].

3665 (x * C) / (y / C) = C * (C * (x / y)). [para(11(a,1),1005(a,1,1)),rewrite([69(4),11(9,R)])].

3703 (x / C) / (C * y) = (x / y) / (C * C). [para(1338(a,1),1005(a,2,2)),rewrite([1328(4),69(2),1595(6),18(5),1328(12),69(10),386(10)])].

3801 (C * (x * y)) \ x = x \ ((x / C) / y). [para(1338(a,1),1033(a,1,2,1)),rewrite([1596(9),1328(10)]),flip(a)].

3802 (x / (y / C)) * y = (x / y) * (y * C). [para(1338(a,1),1033(a,2,1,2)),rewrite([1355(5),2762(4)]),flip(a)].

3803 (x / (y / C)) / C = C * ((x / C) / y). [para(1338(a,1),1033(a,2)),rewrite([1328(7),69(5),1595(7),18(3),1328(9),69(7)]),flip(a)].

3848 x \ (x / ((y / x) * (C * x))) = x \ ((x / C) / y). [back_rewrite(2968),rewrite([3801(10)])].

3862 C / (x * (x / (C * C))) = C * (C * (C / (x * x))). [para(1756(a,1),1048(a,2,2,2)),rewrite([3(3),1471(6),1318(6)])].

3979 x \ (C * ((x / C) * y)) = (C / x) * (x * (y / C)). [para(1268(a,1),422(a,1,2))].

3993 C * ((C / x) * (x * (y / C))) = (C / x) * (x * y). [back_rewrite(2812),rewrite([3979(7)])].

3994 C * (x * (C * ((x * C) \ y))) = x * ((C / x) * y). [para(1269(a,1),8(a,1)),rewrite([1429(6),1328(5),421(4)]),flip(a)].

4001 C * (x * (C * ((C * x) \ y))) = x * ((C / x) * y). [para(178(a,2),1269(a,1,2)),rewrite([8(8),1429(14),1328(13),421(12)])].

4030 (x * ((C / x) * y)) / C = (x / C) * (C * (x \ y)). [para(1269(a,1),422(a,1,2)),rewrite([69(6)])].

4113 (C / x) * (0 / (x * C)) = ((C / x) / C) / x. [para(1850(a,1),1318(a,1,1)),rewrite([1328(7),3538(5),1850(13)]),flip(a)].

4199 (x * (y * x)) \ z = x \ (y \ (x \ z)). [para(1328(a,1),1432(a,1,1)),rewrite([2022(4),1328(5),1328(8),1328(8)])].

4208 (C * (C * x)) \ y = (x \ (y / C)) / C. [para(1488(a,1),1432(a,1,1,2)),rewrite([1328(8),69(6),386(6),1872(6),1328(7),1328(12),69(10),132

8(12),69(10)])].

4228 ((x / (0 / y)) * ((y \ x) * y)) * z = (x / (0 / y)) * ((y \ x) * (y * z)). [para(2073(a,1),1432(a,1,1,2)),rewrite([1431(15)])].

4298 x \ ((x / (C * C)) * y) = ((y / x) / (C * C)) * x. [back_rewrite(2816),rewrite([4199(6),69(4),1033(5),2804(5),69(6),1471(6)]),flip(a)].

4345 (x * (x * C)) \ y = x \ ((x \ y) / C). [back_rewrite(876),rewrite([4199(4),69(3)]),flip(a)].

4348 (x * (C * C)) \ y = (x \ (y / C)) / C. [back_rewrite(349),rewrite([4199(5),69(3),69(5)]),flip(a)].

4350 (C * (x * x)) \ y = x \ ((x \ y) / C). [back_rewrite(239),rewrite([4199(8),69(7)])].

4380 (x * (x * (C * C))) \ y = (x \ (x \ (y / C))) / C. [back_rewrite(1211),rewrite([4208(6),205(4)]),flip(a)].

4419 (C * (x * (C * x))) \ y = (x \ (x \ (y / C))) / C. [back_rewrite(1151),rewrite([4380(12)])].

4423 (x / (C * C)) * (y * C) = (x * y) / C. [para(6(a,1),1471(a,1,1,2)),flip(a)].

4450 ((x / y) / (C * C)) * y = ((x / C) / y) * (y / C). [para(1471(a,1),1033(a,1,2)),rewrite([4298(6),2804(12)])].

4717 (x \ C) / (C / (0 / x)) = (x \ C) * ((0 / x) / C). [para(1731(a,1),1735(a,1,2)),rewrite([1446(15)])].

4718 ((C / x) / C) / x = (C / x) / (C * x). [para(1850(a,1),1735(a,2,2)),rewrite([1595(7),11(7,R),42(7),4113(12)]),flip(a)].

4728 (C * x) \ (C / x) = (C / x) / (C * x). [back_rewrite(3537),rewrite([4718(10)])].

4944 (x * (y / C)) / y = (x * y) / (y * C). [para(1831(a,1),287(a,1,2,1)),rewrite([287(6)]),flip(a)].

4951 (x * (y * C)) / y = (x * y) / (y / C). [para(1831(a,1),1459(a,1,2)),rewrite([1459(6)])].

5036 (C / x) * ((y / (C * C)) * z) = C * ((x * C) \ (y * (z / C))). [para(1471(a,1),1853(a,1,2))].

5055 (x / (y / x)) * y = (x / y) * (y * x). [para(1854(a,1),5(a,1,2)),rewrite([422(3)]),flip(a)].

5059 ((x * y) * y) * a(x,y / (x / y),x) = (x * (y / (x / y))) * x. [para(1854(a,1),13(a,1,1))].

5105 C * ((x \ C) * ((0 / x) / C)) = (x \ C) * (0 / x). [para(1435(a,1),1854(a,2,1)),rewrite([1974(8),11(10,R),1583(10)])].

5106 (C / x) / (x * C) = C / ((C * x) * x). [para(1854(a,1),1460(a,1,2)),rewrite([1974(9),11(11,R),2350(12)]),flip(a)].

5113 (C / (0 / x)) * ((x \ C) \ C) = C * ((x \ C) \ (C / (0 / x))). [para(1731(a,1),1854(a,2,1)),rewrite([19(11),2341(8),2320(8),11(10,R),14

35(10),3535(8)]),flip(a)].

5116 (x / (0 / y)) * ((y \ x) * y) = y * (((y \ x) * x) * y). [para(1967(a,1),1854(a,2,1)),rewrite([1429(5),1390(6),4(3)]),flip(a)].

5175 (x / (0 / y)) * ((y \ x) * (y * z)) = y * (((y \ x) * x) * (y * z)). [back_rewrite(4228),rewrite([5116(6),8(5)]),flip(a)].

5243 x * (0 / (x * (y * x))) = y \ (0 / x). [para(2001(a,1),1698(a,2,2)),rewrite([1328(4),5(2),1595(10),18(5)]),flip(a)].

5517 x * ((x \ (x \ (y / C))) / C) = (x \ y) / (C * C). [para(325(a,2),2372(a,2,2,1)),rewrite([1588(5),1328(7),205(5),69(4),69(5),386(5),441

9(11)]),flip(a)].

5520 ((0 / x) / y) * (x * z) = x \ ((x \ y) \ z). [para(1328(a,1),2372(a,2,2,1)),rewrite([1595(6),18(5),1328(10)])].

5526 ((x / y) / z) * ((y / x) * u) = (x / y) * (((x / y) * z) \ u). [para(1595(a,1),2372(a,1,2))].

5538 C * ((x * C) \ ((x / C) * (y / C))) = (x * C) \ ((x / C) * y). [para(1850(a,1),2372(a,1,1)),rewrite([1595(7),1328(8),295(14,R),11(13,R)

,4208(15),1595(13),1471(15),5036(16)]),flip(a)].

5543 x * (((0 / x) / y) * z) = (x \ y) \ (x \ z). [para(1967(a,1),2372(a,2,2,1)),rewrite([1429(3),1328(5),1595(7)]),flip(a)].

5559 ((x * C) / y) * (z / C) = C * ((x / (C * y)) * z). [para(577(a,1),2372(a,2,2,1)),rewrite([1460(7),1459(5),69(5),1595(11)])].

5569 C * (x * ((x \ (y / C)) / C)) = x * ((x \ y) / C). [para(2372(a,1),1272(a,1,2)),rewrite([4348(6)])].

5703 (x / C) * (C * (((C * x) * x) \ y)) = (C * x) \ y. [para(2436(a,1),436(a,1,1)),rewrite([41(7),1508(12),1460(13),1328(12)]),flip(a)].

5717 x * (C * (x \ ((x \ y) / C))) = C * (x \ (y / C)). [para(1853(a,1),2436(a,1,2)),rewrite([11(4,R),4350(5)])].

5745 ((x / (0 / (C * y))) * x) / (0 / (y * C)) = (x / (0 / (C * y))) * (x / (0 / (C * y))). [para(2506(a,1),124(a,1))].

5778 C * (C * (x / ((C / y) / C))) = (C * x) / (0 / (y * C)). [para(2506(a,1),577(a,2)),rewrite([11(8,R),1435(8),1698(6),69(6)])].

5817 ((C * x) * x) \ C = (C / x) / (C * x). [para(66(a,1),2575(a,2,2,2)),rewrite([1698(5),69(5),42(6),1538(12),1460(13),1435(12)]),flip(a)].

5818 (C / x) / (C * x) = C / ((C * x) * x). [para(66(a,2),2575(a,2,2,2)),rewrite([1851(5),42(6),5106(5),1539(12),1460(13),1435(12),5817(10)]

),flip(a)].

5827 (x \ C) \ (C / (0 / x)) = (C / (0 / x)) / (x \ C). [para(1731(a,1),2575(a,1,1)),rewrite([2320(15),1435(16),3535(14)]),flip(a)].

5833 C * (C / ((C * x) * x)) = (C / x) / x. [back_rewrite(3501),rewrite([5817(6),5818(6)])].

5836 (C * x) \ (C / x) = C / ((C * x) * x). [back_rewrite(4728),rewrite([5818(10)])].

5846 (C / (0 / x)) * ((x \ C) \ C) = C * ((C / (0 / x)) / (x \ C)). [back_rewrite(5113),rewrite([5827(17)])].

5951 C / ((C * x) * y) = C / ((x * C) * y). [para(2760(a,1),1459(a,1,2)),rewrite([1624(7)])].

5954 C * (((x * C) * y) * ((x / C) * (C * y))) = ((x * C) * y) * ((x * C) * y). [para(2760(a,1),1478(a,1,2,2))].

5962 ((x / C) * (C * y)) / (0 / ((x * C) * y)) = ((x * C) * y) * ((x / C) * (C * y)). [para(2760(a,1),1999(a,1,1)),rewrite([2760(19)])].

6010 (C / x) * (x * ((y / (C * x)) * (C * (C * x)))) = x \ (C * ((C * x) * y)). [para(431(a,1),2761(a,1,2)),flip(a)].

6011 ((C / x) * (x * y)) / C = (C / x) * (x * (y / C)). [para(437(a,1),2761(a,2,2)),rewrite([437(9),41(7),2827(6),69(6),1460(10),1328(14),39

79(12)])].

6017 x \ ((x / C) * (C * y)) = C * (x \ ((x / C) * y)). [para(1483(a,1),2761(a,1,2)),rewrite([436(5),41(15),3393(12),1483(13),1853(12),2827(

11)])].

6021 C * (((x / C) / y) * (y * C)) = (x / y) * (y * C). [para(2107(a,1),2761(a,1,2,1)),rewrite([1637(9),2827(10),381(5),21(7),42(6),2762(4),

3862(11),45(18),1780(16),2828(13),2762(11)]),flip(a)].

6039 (C / x) * ((C * x) * y) = C * ((y / x) * (C * x)). [para(26(a,1),2762(a,1,2)),rewrite([1595(6),1048(11),11(15,R),42(15),45(12)])].

6048 (x / (C * (y * y))) * (C * (C * (y * y))) = ((x / y) * (y * (C * C))) / C. [para(113(a,1),2762(a,1,2,2)),rewrite([2827(10),2828(9),2777

(7),69(8),11(17,R)]),flip(a)].

6051 (x / (y * (C * C))) * (C * (y * (C * C))) = (x / y) * (y * C). [para(323(a,1),2762(a,1,2,2)),rewrite([4348(12),41(9),2762(6),2776(6),41

(8),11(15,R)]),flip(a)].

6063 ((C / x) * (C * ((x / C) * y))) / C = ((y / C) / (C * x)) * (C * (C * x)). [para(437(a,1),2762(a,1,2,2)),rewrite([2827(10),69(10),11(19

,R)])].

6072 (x / (y / (C * C))) * (y / C) = (x / y) * (y * C). [para(1272(a,1),2762(a,1,2)),rewrite([1595(8),1636(4),1432(8),2762(7),6021(8),11(15,

R),354(15)]),flip(a)].

6080 (C / x) * ((x * C) * y) = C * ((y / x) * (x * C)). [para(2762(a,1),1853(a,2,2)),rewrite([41(9),11(14,R),3480(16),2776(12)])].

6082 (x / (0 / (y * C))) * ((C / y) / C) = (C * y) * (C * ((C * y) \ x)). [para(2506(a,1),2762(a,2,1)),rewrite([1328(10),1595(10),18(4),11(1

9,R),1435(19),1698(17),69(17)]),flip(a)].

6085 (x / (C * y)) * (C * (C * y)) = (x / y) * (C * y). [back_rewrite(3655),rewrite([6039(6),41(8)]),flip(a)].

6086 x * (C * ((y / x) * (C * x))) = C * (x * (C * y)). [back_rewrite(1623),rewrite([6039(6)])].

6092 (x / (y * C)) * (C * (y * C)) = (x / y) * (y * C). [back_rewrite(2939),rewrite([6080(6),41(8)]),flip(a)].

6097 ((C / x) * (C * ((x / C) * y))) / C = ((y / C) / x) * (C * x). [back_rewrite(6063),rewrite([6085(20)])].

6098 ((x / y) * (y * (C * C))) / C = (x / (y * y)) * (C * (y * y)). [back_rewrite(6048),rewrite([6085(10)]),flip(a)].

6100 x \ (C * ((C * x) * y)) = (C / x) * (C * (x * y)). [back_rewrite(6010),rewrite([6085(10),431(7)]),flip(a)].

6150 x \ ((x / C) * (y * C)) = C * (x \ ((x / C) * y)). [para(505(a,1),2803(a,1,2)),rewrite([2803(6),6017(12)])].

6187 C * ((x * C) \ ((x / C) * y)) = (y / x) * (x / C). [para(2038(a,1),2803(a,2)),rewrite([2803(10),124(8),21(9),2827(10),1461(5),1328(9),6

9(7),1033(8),11(4,R),42(4),124(12),21(13),5526(14),7(9),69(11),1853(12)]),flip(a)].

6199 (x * C) \ ((x / C) * y) = ((y / C) / x) * (x / C). [back_rewrite(5538),rewrite([6187(10)]),flip(a)].

6201 (x / (y / C)) * (y / (C * C)) = (x / y) * (y / C). [para(7(a,1),2804(a,1,1,2)),rewrite([386(11)]),flip(a)].

6265 ((x * C) * y) \ ((C * x) * z) = (C * x) \ (((C * x) / y) * z). [para(66(a,1),2827(a,1,1))].

6284 (C * (x * (y * x))) \ (x * z) = x \ ((x / (y * (x * C))) * z). [para(46(a,2),2827(a,1,1))].

6285 (x * y) \ (C * (x * (z * x))) = x \ ((x / y) * (z * (x * C))). [para(46(a,2),2827(a,1,2))].

6296 ((x * y) * z) \ (x * ((y / x) * u)) = x \ ((x / y) * ((y / (x * z)) * u)). [para(421(a,1),2827(a,1,2)),rewrite([1310(11),2827(12)])].

6298 ((C / x) * (0 / y)) / C = (C * x) \ (y \ C). [para(1435(a,1),2827(a,1,2)),rewrite([69(12)]),flip(a)].

6301 (x * (y / x)) \ ((x * y) * z) = x \ ((x / y) * (y * (x * z))). [para(1390(a,1),2827(a,2,2,1)),rewrite([1391(4),8(9),2827(10)])].

6310 (x * (C / x)) \ ((C * x) * y) = C * (x \ ((x / C) * (x * y))). [para(1971(a,1),2827(a,2,2,1)),rewrite([2069(5),8(13),2803(14),6017(14)]

)].

6315 x \ ((x / ((y / x) * (C * x))) * z) = (C * (x * y)) \ (x * z). [para(431(a,1),2827(a,1,1)),flip(a)].

6625 (C * (C / x)) / (C * (x * (C / x))) = 0 / x. [para(2978(a,2),1429(a,1,2))].

6626 (x / y) * (C * ((y / x) * (C / (y / x)))) = C * (C / (y / x)). [para(2978(a,2),1594(a,1,2))].

6646 (x * ((C / x) / C)) * (x * (C * (C / x))) = C * ((x * ((C / x) / C)) * (x * (C / x))). [para(2978(a,1),694(a,1,2)),rewrite([2832(5),283

2(17)])].

6694 (x / (y * (C * C))) * (C * y) = (x / y) * (y / C). [para(331(a,1),3393(a,1,1,2)),rewrite([41(15),3393(12)])].

6759 (C * x) / (C * (y / (C * z))) = C * (C * (x / ((y * C) / z))). [para(3495(a,1),1048(a,1,2))].

6813 (x * C) \ (y * (C * (C / y))) = ((C / x) * (y * (C / y))) / C. [para(2978(a,1),3624(a,1,2))].

6839 (x / C) / (C * C) = x / (C * (C * C)). [para(361(a,1),3703(a,2,1)),rewrite([41(4)]),flip(a)].

6888 ((x * (C * y)) / z) / (C * C) = ((x * (y * C)) / C) / (C * z). [para(1080(a,1),3703(a,1,1)),flip(a)].

6914 ((x / y) * (C * y)) / C = ((x / C) / y) * (C * y). [para(3703(a,1),2762(a,2,1)),rewrite([437(8),2827(10),69(10),6097(10),11(15,R),2765(

16)]),flip(a)].

6915 (x / (C * (C * C))) * (C * y) = ((x / C) * y) / C. [para(3703(a,1),2765(a,1,1)),rewrite([6839(6)])].

6920 ((x * (C * (C / x))) / y) / (C * C) = (x * (C / x)) / (C * y). [para(2835(a,1),3703(a,1,1)),flip(a)].

6993 (x / (C * C)) / C = x / (C * (C * C)). [back_rewrite(413),rewrite([6839(12)])].

7132 (x / (y * C)) * (y * (C * C)) = (x / y) * (y * C). [para(323(a,1),3802(a,2,2)),rewrite([4951(6),17(5),18(4),6051(20)])].

7145 x * ((x * (C * ((C / (x * x)) * y))) / C) = (y / (0 / (x * x))) * (C / (x * x)). [para(2381(a,1),3802(a,1,1,2)),rewrite([11(17,R),2966(

18),1477(11),1637(18)]),flip(a)].

7191 C * ((x / C) / (y \ C)) = (x / (0 / y)) / C. [para(1334(a,1),3803(a,1,1,2)),flip(a)].

7242 (x * (y * (z * (y * x)))) \ u = x \ (y \ (z \ (y \ (x \ u)))). [para(8(a,1),4199(a,1,1,2)),rewrite([4199(9)])].

7246 x / (y \ (z \ (y \ x))) = y * (z * y). [para(4199(a,1),19(a,1,2))].

7247 (x * (y * (y * x))) \ z = x \ (y \ (y \ (x \ z))). [para(21(a,1),4199(a,1,1,2)),rewrite([205(7)])].

7283 x * (C * ((y / x) * (x * C))) = C * (x * (C * y)). [para(1733(a,1),4199(a,1,1,2)),rewrite([1338(8),386(6),1872(6),1595(7),18(6),45(5),1

595(14),1431(15),1595(14),5175(14),11(9,R),1432(11),2762(10)]),flip(a)].

7352 C * (x * (C * (x \ (y / C)))) = x * (C * (x \ y)). [para(4345(a,1),1269(a,1,2)),rewrite([78(10),5717(8),1430(16),1328(15),205(13),421(1

4),40(11)])].

7417 (C * ((x / C) * y)) / y = ((C * x) * y) / (y * C). [para(66(a,1),4944(a,1,1)),rewrite([1268(5)])].

7435 (C * (x * (C * y))) / (y * C) = (C * (x * y)) / y. [para(45(a,1),4944(a,1,1)),rewrite([42(5),45(9)]),flip(a)].

7451 (x * (y \ C)) / (C * (y \ C)) = (x * (0 / y)) / (y \ C). [para(1334(a,1),4944(a,1,1,2)),rewrite([11(13,R)]),flip(a)].

7537 (x * (0 / y)) / ((0 / y) / C) = (x * (y \ C)) / (0 / y). [para(1328(a,1),4951(a,1,1,2)),flip(a)].

7543 x * ((C * ((x \ y) / x)) * x) = (y * (x \ C)) / (0 / x). [para(4951(a,1),1967(a,2)),rewrite([11(4,R),1435(4),2015(4),11(4,R),7537(14)])

].

7581 ((x * (C * C)) / y) / (C * C) = (x * C) / (C * y). [para(4951(a,1),3703(a,1,1)),rewrite([17(5),18(4)]),flip(a)].

7585 ((x / (C * C)) * y) / (y / C) = ((x * y) / C) / y. [para(4423(a,1),4951(a,1,1)),flip(a)].

7630 x * (((x * y) * y) \ x) = (x / y) / y. [para(5055(a,1),1429(a,1,2)),rewrite([1713(4),1459(8)])].

7713 (C / (0 / x)) / (x \ C) = C / ((x \ C) * (0 / x)). [para(1328(a,1),5106(a,1,2)),rewrite([1435(12)])].

7719 ((x \ C) * (0 / x)) / C = (x \ C) * ((0 / x) / C). [para(1731(a,1),5106(a,2,2,1)),rewrite([19(6),11(8,R),1731(8),4717(7),5846(17),7713(

16),1460(18),1459(16)]),flip(a)].

7797 (x * y) / (0 / (x * (z * x))) = x * ((y / (z \ (0 / x))) * x). [para(5243(a,1),287(a,1,2,1,2)),flip(a)].

7845 ((0 / (x * (y * x))) / C) / (y \ (0 / x)) = (0 / (x * (y * x))) / (y \ (x \ C)). [para(5243(a,1),1831(a,1,2)),rewrite([11(20,R),1435(20

),4199(18),4(19)])].

7865 (x \ (0 / y)) / ((0 / (y * (x * y))) / C) = (x \ (y \ C)) / (0 / (y * (x * y))). [para(5243(a,1),4951(a,2,1)),rewrite([11(6,R),1435(6),

4199(4),4(5)]),flip(a)].

8031 a(x,y,0) = 0. [para(3(a,1),54(a,1,1,2)),rewrite([3(4),16(3)]),flip(a)].

8032 (x * y) \ ((x * z) * (z \ y)) = a(x,z,z \ y). [para(4(a,1),54(a,1,1,2))].

8035 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(7(a,1),54(a,1,1,2))].

8037 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(7(a,1),54(a,1,2,1))].

8046 (C * (x * y)) \ ((x * C) * y) = a(C,x,y). [para(11(a,1),54(a,1,2,1))].

8047 (x * (C * y)) \ (C * (x * y)) = a(x,y,C). [para(11(a,2),54(a,1,1,2)),rewrite([11(6,R)])].

8048 (x * (C * y)) \ ((C * x) * y) = a(x,C,y). [para(11(a,2),54(a,1,2,1))].

8049 (x * (y * C)) \ (C * (x * y)) = a(x,y,C). [para(11(a,2),54(a,1,2))].

8053 (x * y) \ (C * ((x / C) * y)) = a(x,C,y / C). [para(42(a,1),54(a,1,1,2)),rewrite([1268(6)])].

8054 (C * ((x / C) * y)) \ (x * y) = a(C,x / C,y). [para(42(a,1),54(a,1,2,1))].

8060 ((C * x) * (y * z)) \ (((x * C) * y) * z) = a(C * x,y,z). [para(66(a,1),54(a,1,2,1))].

8061 (x * ((C * y) * z)) \ ((x * (y * C)) * z) = a(x,y * C,z). [para(66(a,2),54(a,1,1,2))].

8062 a(C * x,y,z) = a(x * C,y,z). [para(66(a,2),54(a,1,1)),rewrite([8060(9)])].

8065 (C * (x * (x * y))) \ (x * (C * (x * y))) = a(C,x * x,y). [para(82(a,1),54(a,1,2,1)),rewrite([21(3),43(8)])].

8086 ((C / ((C * x) * y)) * (x * (C * y))) / C = a(C,C * x,y). [para(331(a,1),54(a,1,2,1)),rewrite([323(10),2827(11),69(11)])].

8088 (x * (y / C)) \ ((x / C) * y) = a(C,x / (C * C),y). [para(354(a,1),54(a,1,2,1)),rewrite([1272(7)])].

8098 a(x,C * y,z) = a(x,y * C,z). [para(505(a,1),54(a,1,2,1)),rewrite([8061(9)]),flip(a)].

8102 x \ (C * ((x / y) * (y / C))) = a(x / (C * y),y,C). [para(517(a,1),54(a,1,1)),rewrite([3393(4),11(6,R)])].

8146 (x / y) * (y * (0 / x)) = a(y,x,0 / x). [para(1326(a,1),54(a,1,1,2)),rewrite([3(2),422(5)])].

8151 (x * (y / C)) \ ((x * y) / C) = a(x,y,0 / C). [para(1338(a,1),54(a,1,1,2)),rewrite([1338(8)])].

8152 a(C,x / (C * C),y) = a(x,0 / C,y). [para(1338(a,1),54(a,1,2,1)),rewrite([1328(4),69(2),8088(7)])].

8157 (x * (y * (0 / ((x * y) * (x * y))))) \ (0 / (x * y)) = a(x,y,0 / ((x * y) * (x * y))). [para(1423(a,1),54(a,1,2))].

8159 x * ((C / x) / C) = a(x,C,x \ C). [para(1444(a,1),54(a,1,1)),rewrite([421(8),11(7,R),205(9),69(8),2835(8),69(5),2832(5)])].

8168 ((x * C) * ((C / x) * y)) \ (C * (C * y)) = a(x * C,C / x,y). [para(1671(a,1),54(a,1,2,1)),rewrite([21(10)])].

8176 a(x * y,0 / x,z) = a(x,y / x,z). [para(1391(a,1),54(a,1,2,1)),rewrite([1328(4),421(3),54(7)]),flip(a)].

8177 x \ ((x / (y * (0 / x))) * (y / x)) = a(x,y,0 / x). [para(1391(a,1),54(a,1,2)),rewrite([2827(7)])].

8193 a(C * x,0 / x,y) = a(x,C / x,y). [para(2069(a,1),54(a,1,2,1)),rewrite([1328(5),1269(4),54(9)]),flip(a)].

8194 a(C,x,0 / x) = a(x,C,x \ C). [para(2069(a,1),54(a,1,2)),rewrite([1326(4),3(3),69(5),2832(5),8159(5)]),flip(a)].

8204 ((C / (x * (y / C))) * ((x / C) * y)) / C = a(C,x,y / C). [para(437(a,1),54(a,1,2)),rewrite([2827(11),69(11)])].

8210 ((x * C) * (C * y)) \ (C * ((C * x) * y)) = a(C * x,y,C). [para(530(a,1),54(a,1,1)),rewrite([11(10,R)])].

8212 (C * (x * (y * C))) \ ((x * C) * (C * y)) = a(C,x,y * C). [para(530(a,1),54(a,1,2))].

8214 ((C * x) * (y * C)) \ (C * (x * (C * y))) = a(x * C,C,y). [para(530(a,2),54(a,1,1)),rewrite([11(9,R),8(10)])].

8246 (C * x) \ (y * ((C / y) * x)) = a(C,y,y \ x). [para(1269(a,1),54(a,1,2)),rewrite([4(3)])].

8316 x \ (y \ ((y / x) * (x * x))) = a(x,y,x). [para(54(a,1),4199(a,1)),rewrite([422(4)]),flip(a)].

8318 (C / (x * y)) * (x * (y / C)) = a(x / (C * C),y,C). [para(4423(a,1),54(a,1,1)),rewrite([11(10,R),1272(10),1595(7)])].

8342 a(x,C,x \ C) * (x * (C * (C / x))) = C * (a(x,C,x \ C) * (x * (C / x))). [back_rewrite(6646),rewrite([8159(5),8159(16)])].

8385 (x * (C / x)) / C = a(x,C,x \ C). [back_rewrite(2832),rewrite([8159(10)])].

8585 a(x / (C * C),C,C * (C * (x \ C))) = a(x,C,x \ C). [para(8159(a,1),1471(a,2)),rewrite([1592(6),41(8),41(6),8385(5),1595(15),1636(13),11

(15,R)]),flip(a)].

8608 (x * a(y,C,y \ C)) \ ((x * y) * ((C / y) / C)) = a(x,y,(C / y) / C). [para(8159(a,1),54(a,1,1,2))].

8634 a(x * C,0 / C,y) = a(C,x / C,y). [para(409(a,1),8152(a,1,2)),flip(a)].

8642 a(C,(x / C) / (C * y),z) = a(x / y,0 / C,z). [para(3703(a,2),8152(a,1,2))].

8644 a(x,0 / C,C * (x \ C)) = a(x,C,x \ C). [para(8152(a,1),8194(a,1)),rewrite([1459(9),1636(7),1595(19),1636(17),11(19,R),8585(20)])].

8774 x * ((C * y) * z) = x * ((y * C) * z). [para(66(a,1),55(a,2,2)),rewrite([55(8)])].

8825 (0 / (x * y)) / a(x,y,0 / ((x * y) * (x * y))) = x * (y * (0 / ((x * y) * (x * y)))). [para(1423(a,1),55(a,1,1))].

8978 (x * (C * y)) \ ((x * (C * y)) / a(x,y,C)) = (C * (x * y)) \ (x * (C * y)). [para(67(a,1),1698(a,1,1)),flip(a)].

9038 a(C,x,C * C) = 0. [para(295(a,2),8046(a,1,1,2)),rewrite([295(12,R),11(11,R),16(13)]),flip(a)].

9043 ((x * (C * y)) \ ((C * x) * (C * y))) / C = a(C,C * (C * x),y). [para(45(a,1),8046(a,1,1,2)),rewrite([11(13,R),45(14),2827(15),1460(8),

1328(12),69(11)])].

9044 ((x * (C * y)) \ ((x * C) * (C * y))) / C = a(C,C * (C * x),y). [para(45(a,1),8046(a,1,2,1)),rewrite([45(6),462(14),2827(15),1460(8),13

28(12),69(11)])].

9078 ((C / ((x * C) * (y * C))) * (x * (C * (C * y)))) / C = a(C,C * x,C * y). [para(531(a,1),8046(a,1,1,2)),rewrite([11(11,R),45(14),2827(1

5),69(15)])].

9082 (C * (x * (y * (C * C)))) \ ((x * C) * (C * (C * y))) = a(C,x,C * (C * y)). [para(546(a,1),8046(a,1,1,2))].

9091 a(C,x,(y / x) * (x / C)) = (x * y) \ ((x / C) * (C * y)). [para(1483(a,1),8046(a,1,1,2)),rewrite([42(5),3414(8),1853(7),2827(6),3463(8)

]),flip(a)].

9098 (x * y) \ ((x / C) * (C * y)) = a(x,0 / C,C * y). [para(2765(a,1),8046(a,1,1,2)),rewrite([42(5),11(7,R),354(7),8152(15)])].

9109 a(C,x,(y / x) * (x / C)) = a(x,0 / C,C * y). [back_rewrite(9091),rewrite([9098(13)])].

9111 (x * y) \ (C * (x * (y / C))) = a(x,y / C,C). [para(4(a,1),8047(a,1,1,2)),rewrite([69(4),69(9)])].

9112 (x * (C * (x \ y))) \ (C * y) = a(x,x \ y,C). [para(4(a,1),8047(a,1,2,2))].

9113 ((x / y) * (C * y)) \ (C * x) = a(x / y,y,C). [para(7(a,1),8047(a,1,2,2))].

9147 a(x / (C * y),y,C) = a(x,y * (C * x),C). [para(47(a,2),8047(a,1,2,2)),rewrite([7242(13),2777(9),6(4),69(8),1033(9),2804(9),69(10),1471(

10),7581(9),3393(6),5559(6),3393(5),8102(7)])].

9174 a(x,(y / x) * (C * x),C) = ((C / (x * (C * y))) * (C * (x * y))) / C. [para(431(a,1),8047(a,1,2,2)),rewrite([6086(7),2827(11),69(11)]),

flip(a)].

9181 ((x * C) * (C * (C * y))) \ (C * ((C * x) * (y * C))) = a(x * C,C * y,C). [para(530(a,2),8047(a,1,2,2))].

9190 ((x * C) * y) \ (C * (C * ((x / C) * y))) = a(x * C,y / C,C). [para(1268(a,1),8047(a,1,2,2)),rewrite([42(6)])].

9191 ((C * x) * (C * (x \ y))) \ (C * (x * ((C / x) * y))) = a(C * x,x \ y,C). [para(1269(a,1),8047(a,1,2,2))].

9209 (C / (x * (C * y))) * (x * y) = a(x / (C * C),C * y,C). [para(2765(a,1),8047(a,1,2,2)),rewrite([2765(9),42(10),1595(7)])].

9231 (x * (y * C)) \ ((C * x) * y) = a(x,C,y). [para(11(a,1),8048(a,1,1,2))].

9284 a(x,C,x \ C) = a(x,C,0 / x). [para(2069(a,1),8048(a,1,2)),rewrite([1435(4),4(3),69(5),8385(5)])].

9287 a(x,C,(y / x) * (C * x)) = ((C / (x * (C * y))) * ((C * x) * y)) / C. [para(431(a,1),8048(a,1,2)),rewrite([6085(9),6086(7),2827(11),69(

11),6085(20)]),flip(a)].

9337 a(x,0 / C,C * (x \ C)) = a(x,C,0 / x). [back_rewrite(8644),rewrite([9284(12)])].

9347 (x * a(y,C,0 / y)) \ ((x * y) * ((C / y) / C)) = a(x,y,(C / y) / C). [back_rewrite(8608),rewrite([9284(4)])].

9432 a(x,C,0 / x) * (x * (C * (C / x))) = C * (a(x,C,0 / x) * (x * (C / x))). [back_rewrite(8342),rewrite([9284(4),9284(15)])].

9559 (x / (y * (C * C))) * (C * (y * (x \ C))) = a(y * (C * C),x,0 / x). [para(323(a,1),8146(a,1,2)),rewrite([1435(10)])].

9565 (x * (0 / y)) / a(x,y,0 / y) = x / y. [para(8146(a,1),1429(a,1,2)),rewrite([1459(10)])].

9615 a(x,y / x,x) = a(x,y,x). [para(2001(a,1),8146(a,1,1)),rewrite([1459(9),18(7),1328(7),4199(5),422(3),8316(5),1459(8),18(6),8176(5)]),fli

p(a)].

9647 a(C * (C * C),x,0 / x) = a(x,C,0 / x). [para(8152(a,1),8146(a,2)),rewrite([6993(6),1459(13),1636(11),9559(13),1459(17),1636(15),9337(16

)])].

10007 (x * (y * (x * (0 / z)))) / a(x * (y * x),z,0 / z) = (x * (y * x)) / z. [para(8(a,1),9565(a,1,1))].

10010 (x * (x * (0 / y))) / a(x * x,y,0 / y) = (x * x) / y. [para(21(a,1),9565(a,1,1))].

10021 (C * (x * (y \ C))) / a(C * (C * x),y,0 / y) = (C * (C * x)) / y. [para(45(a,1),9565(a,1,1)),rewrite([1435(5)])].

10025 (x \ (0 / y)) / a(0 / x,y,0 / y) = (0 / x) / y. [para(1328(a,1),9565(a,1,1))].

10026 (x * (y / z)) / a(x,z / y,y / z) = x / (z / y). [para(1459(a,1),9565(a,1,1,2)),rewrite([1459(6)])].

10029 (x * (y / x)) / a(x * y,x,0 / x) = (x * y) / x. [para(1391(a,1),9565(a,1,1))].

10041 (x * ((x * (0 / y)) / C)) / a(x * (x / C),y,0 / y) = (x * (x / C)) / y. [para(1637(a,1),9565(a,1,1))].

10053 (x * ((x \ y) / C)) / a(y / (x \ C),x,0 / x) = (y / (x \ C)) / x. [para(2804(a,1),9565(a,1,1)),rewrite([3438(8),18(2),1328(3),11(8,R),

1435(8),11(15,R),1435(15)])].

10058 (x * ((x \ y) * y)) / a(y / ((0 / x) / y),x,0 / x) = (y / ((0 / x) / y)) / x. [para(5055(a,1),9565(a,1,1)),rewrite([1328(6),1336(5)])]

.

10134 (C * x) * (C * ((C * x) \ y)) = (C * x) * (C * ((x * C) \ y)). [para(531(a,2),1336(a,2)),rewrite([1851(9),6082(10)])].

10219 x \ (y * ((y * (0 / x)) \ z)) = (x \ y) * (x * (y \ z)). [para(2372(a,1),1431(a,1,2))].

10460 ((0 / x) / (C * y)) * (C * z) = (((x \ C) / y) * z) / C. [para(1582(a,1),2827(a,1,1)),rewrite([1595(8),1460(16),1459(14),69(14)])].

10550 (C / (0 / x)) * ((x \ C) * (y / C)) = x * (C * (x \ y)). [para(1583(a,1),2762(a,1,2)),rewrite([1595(10),11(21,R),42(21),3802(18),11(17

,R),1435(17),1336(16),11(13,R)])].

10786 x / ((C / x) / C) = C * ((x / C) * x). [para(1268(a,1),1929(a,2,2)),rewrite([11(4,R),42(4),1459(4),17(11),2(10),694(10)])].

10805 (C / (0 / x)) * (C * (x \ ((x \ C) \ y))) = x * (C * y). [para(1929(a,1),2762(a,2,1)),rewrite([5520(11),1595(11),11(21,R),42(21),1391(

18),6(15)])].

10812 x * (C * ((y / C) * (x / C))) = ((x * y) / C) / (0 / x). [para(1929(a,1),3703(a,2,1)),rewrite([42(9),1941(14),466(13)]),flip(a)].

10883 ((x * C) * y) / ((C / ((C * x) * y)) / C) = C * (((x / C) * (C * y)) * ((x * C) * y)). [para(5951(a,2),10786(a,1,2,1)),rewrite([2760(1

7)])].

11120 (x \ C) / (C * (x * (C / x))) = 0 / (C * x). [para(66(a,1),6625(a,1,2,2)),rewrite([1460(5),1435(4),1460(9),1391(8)])].

11129 (C * (C * (C * (C / x)))) / (C * (x * (C / x))) = C * (x \ C). [para(1592(a,1),6625(a,1,1,2)),rewrite([1592(19),2765(20),2835(16),1459

(20),1636(18)])].

11181 C * ((x / C) / ((C / y) / C)) = (x / (0 / (C * y))) / C. [para(178(a,1),7191(a,1,2,2)),rewrite([1851(7)])].

11182 (x / (0 / (C * y))) / C = (x / (0 / (y * C))) / C. [para(178(a,2),7191(a,1,2,2)),rewrite([1698(7),69(7),11181(9)])].

11186 C * ((x / (C * C)) / (y \ C)) = ((x / C) / (0 / y)) / C. [para(386(a,1),7191(a,1,2,1))].

11193 ((x \ C) / (0 / y)) / C = C * ((0 / x) / (y \ C)). [para(1334(a,1),7191(a,1,2,1)),flip(a)].

11195 C * ((x * (x / C)) / (y \ C)) = ((x * x) / (0 / y)) / C. [para(1477(a,1),7191(a,1,2,1))].

11229 (x / (0 / (y * (C * C)))) / C = C * ((x / C) / ((0 / y) / C)). [para(4348(a,1),7191(a,1,2,2)),rewrite([17(6),1379(5)]),flip(a)].

11465 a(x / (C * (y * C)),y * C,C) = a(x,(C * y) * (x * C),C). [para(530(a,2),9147(a,2,2))].

11641 (x * C) \ (y * ((C / y) * x)) = a(C,y,y \ x). [para(53(a,1),92(a,1,2)),rewrite([1269(6)])].

11841 x * (x * a(x,x / y,y)) = (x * (x / y)) * y. [para(56(a,1),21(a,1)),flip(a)].

11851 (x * C) \ ((C * (x / y)) * y) = a(C,x / y,y). [para(56(a,1),92(a,1,2))].

11893 x * a(x,y / z,z / y) = (x * (y / z)) * (z / y). [para(1459(a,1),56(a,1,2,2)),rewrite([3(2),1459(7)])].

12046 (x * (y * (0 / z))) * a(x,y / z,a(y,z,0 / z)) = (x * (y / z)) * a(y,z,0 / z). [para(9565(a,1),56(a,1,2,2)),rewrite([9565(17)])].

12072 x \ ((y * z) * (z \ (y \ x))) = a(y,z,z \ (y \ x)). [para(4(a,1),8032(a,1,1))].

12083 a(C,x / C,(C / x) * y) = a(C,x,x \ y). [para(42(a,1),8032(a,1,2,1)),rewrite([1595(5),8246(7),1595(9)]),flip(a)].

12102 a(C,x * C,(x * C) \ y) = a(C,x,x \ y). [para(295(a,1),8032(a,1,2,1)),rewrite([323(10),3994(10),8246(7)]),flip(a)].

12104 (x \ (y * ((C / y) * x))) / C = a(C,y,y \ (C * x)). [para(331(a,1),8032(a,1,1)),rewrite([1269(10),4348(11),4030(8),1835(8)])].

12105 a(C,C * x,(C * x) \ y) = a(C,x,x \ y). [para(331(a,1),8032(a,1,2,1)),rewrite([323(10),4001(10),8246(7)]),flip(a)].

12146 a(x * C,C / x,(x / C) * y) = a(x * C,y / C,C). [para(1671(a,1),8032(a,1,2,1)),rewrite([1595(9),21(10),9190(11),1595(13)]),flip(a)].

12151 (x * C) \ ((x * (y * C)) * ((C / y) / C)) = a(x,y * C,(C / y) / C). [para(1851(a,1),8032(a,1,2,2)),rewrite([1851(17)])].

12167 ((C * x) * y) \ ((x * (C / x)) * (x * y)) = a(x,C / x,x * y). [para(2069(a,1),8032(a,1,2,1)),rewrite([1595(9),18(8),1595(16),18(15),81

93(15)])].

12270 ((x * C) * y) \ (x * (C * y)) = a(C,x / C,C * y). [para(8634(a,1),8032(a,2)),rewrite([1338(9),6(7),1595(7),18(6),1595(14),18(13)])].

12298 a(C,x,x \ ((x / C) * y)) = a(C,x / C,y). [para(4(a,1),12083(a,1,3)),rewrite([1595(8)]),flip(a)].

12303 a(C,x,(C / x) * (x * y)) = a(C,C * x,y). [para(91(a,1),12083(a,2,3)),rewrite([41(5),1460(5),1328(7),422(5)])].

12335 a(C,x / C,C * ((y / x) * (C * x))) = a(C,C * x,y). [para(2761(a,1),12083(a,2,3)),rewrite([6039(9),12303(16)])].

12337 a(C,C * x,x \ ((x / C) * y)) = a(C,x,y). [para(2803(a,1),12083(a,2,3)),rewrite([41(5),1460(5),1328(5),5(3)]),flip(a)].

12342 a(C,x * C,((C / x) * y) / C) = a(C,x,x \ (C * y)). [para(3624(a,1),12083(a,2,3)),rewrite([6(5),1429(5),1328(6)]),flip(a)].

12343 a(C,C * x,((C / x) * y) / C) = a(C,x,x \ (y * C)). [para(3625(a,1),12083(a,2,3)),rewrite([41(5),1460(5),1328(6)]),flip(a)].

12347 a(C,x * (C * C),(x \ (y / C)) / C) = a(C,x,x \ y). [para(4348(a,1),12083(a,2,3)),rewrite([4951(7),17(6),18(5),1587(9),1328(8),12102(7)

]),flip(a)].

12348 a(C,C * (x * x),x \ ((x \ y) / C)) = a(C,x * x,x \ (x \ y)). [para(4350(a,1),12083(a,2,3)),rewrite([41(6),1460(7),1328(6),205(4)]),fli

p(a)].

12358 a(C,x * C,x \ ((x / C) * y)) = a(C,x,y). [para(5(a,1),12102(a,2,3)),rewrite([2827(7)])].

12364 a(C,C * (x * C),x \ ((x / C) * y)) = a(C,x * C,y). [para(92(a,1),12102(a,2,3)),rewrite([11(5,R),11(9,R),4199(13),422(11),6017(12),5(13

)])].

12383 a(C,x * C,(y / x) * (x * C)) = a(C,x,x \ (C * ((x * C) * y))). [para(2762(a,1),12102(a,1,3)),rewrite([11(10,R),6092(11)])].

12385 a(C,C * (x * C),(x \ y) / C) = a(C,x,x \ (C * y)). [para(3624(a,1),12102(a,2,3)),rewrite([11(5,R),11(9,R),2827(12),1429(10),1328(9),69

(8),12342(18)])].

12386 a(C,C * (C * x),(x \ y) / C) = a(C,x,x \ (y * C)). [para(3625(a,1),12102(a,2,3)),rewrite([11(5,R),11(9,R),3625(12),1460(9),1328(8),123

43(18)])].

12416 a(C,C * x,(y / x) * (C * x)) = a(C,x,(C / x) * (C * (x * y))). [para(2762(a,1),12105(a,1,3)),rewrite([11(10,R),6085(11),6100(15)])].

12487 a(C,x / C,x \ y) = a(C,x,(C * x) \ y). [para(2015(a,1),12298(a,1,3)),rewrite([1470(4),1596(5),1328(6)]),flip(a)].

12488 a(C,x,(C * x) \ y) = a(C,x,(x * C) \ y). [para(2372(a,1),12298(a,1,3,2)),rewrite([5(6),12487(10)]),flip(a)].

12497 a(C,x * (C * C),x \ ((x / C) * y)) = a(C,x * C,y). [para(4348(a,1),12298(a,1,3)),rewrite([4951(11),17(10),18(9),2760(10),6017(11),41(1

3),4951(17),17(16),18(15)])].

12503 a(C,x * C,((y / C) / x) * (x / C)) = a(C,x / C,y). [para(12298(a,1),12102(a,2)),rewrite([6199(9)])].

12506 a(C,C * x,x \ y) = a(C,x,(C / x) * y). [para(4(a,1),12337(a,1,3,2)),rewrite([1595(9)])].

12512 a(C,C * x,C * (x \ ((x / C) * y))) = a(C,x,C * y). [para(505(a,1),12337(a,1,3,2)),rewrite([6150(9)])].

12513 a(C,C * (C * (x * C)),x \ ((x / C) * y)) = a(C,x * (C * C),y). [para(46(a,2),12337(a,1,2)),rewrite([4951(17),17(16),18(15),4348(15),27

60(12),6017(13),41(15)])].

12548 a(C,x * C,(x \ (y / C)) / C) = a(C,x,(x * C) \ y). [para(6(a,1),12487(a,1,2)),rewrite([4199(13),69(11),69(13)]),flip(a)].

12563 a(C,x * (C * x),(x \ (x \ (y / C))) / C) = a(C,x * x,x \ ((x \ y) / C)). [para(325(a,1),12487(a,2,3,1)),rewrite([1472(6),42(5),4199(6)

,69(5),4380(17)]),flip(a)].

12581 a(C,x * (C * C),((C * x) \ (y / C)) / C) = a(C,x,(x * C) \ y). [para(546(a,2),12487(a,2,3,1)),rewrite([4951(7),17(6),18(5),4348(8),125

48(9),4208(17)]),flip(a)].

12597 a(C,C * x,(x \ y) / C) = a(C,x,((C / x) * y) / C). [para(3625(a,1),12487(a,1,3)),rewrite([41(5),3625(17),1460(14),1328(13)]),flip(a)].

12643 (C / x) * ((C * ((x / (C * C)) / y)) * y) = a(C,(x / (C * C)) / y,y). [para(354(a,1),8035(a,1,1)),rewrite([1595(11)])].

12644 (x * (C * y)) \ (C * (C * (x * (y / C)))) = a(x,y / C,C * C). [para(361(a,1),8035(a,1,2,1,2)),rewrite([295(10,R),11(9,R),361(17)])].

12645 (x * (y * C)) \ (C * (C * (x * (y / C)))) = a(x,y / C,C * C). [para(409(a,1),8035(a,1,2,1,2)),rewrite([295(10,R),11(9,R),409(17)])].

12668 (x * y) \ ((x * (C * y)) / C) = a(x,C * y,0 / C). [para(1338(a,1),8035(a,1,2)),rewrite([1355(5),1355(11)])].

12670 (x * y) \ ((x * (0 / z)) * (z * y)) = a(x,0 / z,z * y). [para(1429(a,1),8035(a,1,2,1,2)),rewrite([1429(9)])].

12882 (x \ ((x / y) * (C * y))) / C = a(C * C,x,y). [para(345(a,1),8037(a,1,1,1)),rewrite([21(5),323(10),2827(11),1460(6),1328(8),2827(6),69

(7),345(12)])].

12934 a(0 / x,x * y,z) = a(y / x,x,z). [para(1429(a,1),8037(a,1,1,1)),rewrite([1328(5),422(3),8037(5),1429(4)]),flip(a)].

13099 a(x / (C * (C * C)),C * C,y) = (C / x) * ((x / y) * (y / C)). [para(6839(a,1),8037(a,1,1,1)),rewrite([21(10),6915(11),468(7),1595(11),

1636(7),1432(11),6296(10),3393(8),69(10),42(11),6839(13)]),flip(a)].

13229 a(x / (C * (C * C)),C * C,y) = a(0 / (C * C),C * x,y). [para(6839(a,1),12934(a,2,1)),rewrite([21(11),42(10)]),flip(a)].

13277 (C / x) * ((x / y) * (y / C)) = a(0 / (C * C),C * x,y). [back_rewrite(13099),rewrite([13229(10)]),flip(a)].

13338 x \ (C * (y * ((y * C) \ x))) = a(y,C,(y \ x) / C). [para(4(a,1),8053(a,1,1)),rewrite([2372(5)])].

13339 (x * ((C / x) * y)) \ (C * y) = a(x,C,((C / x) * y) / C). [para(4(a,1),8053(a,1,2,2)),rewrite([1595(3),1595(11)])].

13340 ((x * C) * y) \ (C * (x * y)) = a(x * C,C,y / C). [para(6(a,1),8053(a,1,2,2,1))].

13345 ((C * x) * y) \ (C * (x * y)) = a(C * x,C,y / C). [para(41(a,1),8053(a,1,2,2,1))].

13346 a(x * x,C,y / C) = a(x,(x * y) / C,C). [para(21(a,1),8053(a,1,1)),rewrite([1477(6),1637(7),9111(9)]),flip(a)].

13349 a(C * x,C,((x * C) \ y) / C) = a(x,C,(x \ y) / C). [para(90(a,1),8053(a,1,1)),rewrite([41(5),13338(7)]),flip(a)].

13354 ((C / (x * (C * y))) * ((C * x) * y)) / C = a(C * (C * x),C,y / C). [para(45(a,1),8053(a,1,1)),rewrite([41(12),2827(11),69(11)])].

13393 ((x * C) * (C * y)) \ (C * (x * (y * C))) = a(C * x,C,y). [para(530(a,1),8053(a,1,1)),rewrite([41(10),6(18)])].

13448 a(C * (C * x),C,y / C) = a(x,C,(y / x) * (C * x)). [back_rewrite(9287),rewrite([13354(17)]),flip(a)].

13477 ((C * x) * (y * C)) \ (x * (C * (C * y))) = a(C,x / C,C * (C * y)). [para(546(a,1),8054(a,1,1,2)),rewrite([460(9)])].

13555 (C * (x * y)) \ (x * (C * y)) = a(C * (C * x),y,0 / C). [para(45(a,1),8151(a,1,1)),rewrite([42(5),45(8),41(10)])].

13636 (x * ((0 / (x * (y * x))) / C)) \ ((y \ (0 / x)) / C) = a(x,0 / (x * (y * x)),0 / C). [para(5243(a,1),8151(a,1,2,1))].

13652 (x * (C * y)) \ ((x * (C * y)) / a(x,y,C)) = a(C * (C * x),y,0 / C). [back_rewrite(8978),rewrite([13555(17)])].

13654 a(C * (C * x),x * y,0 / C) = a(C,x * x,y). [back_rewrite(8065),rewrite([13555(9)])].

13692 a(C * (C * x),y,0 / C) = a(C,x * x,x \ y). [para(2828(a,1),8246(a,1,2,2)),rewrite([21(8),4(7),13555(7),205(13),5(12)])].

13710 x \ (C * (y * ((y \ x) / C))) = a(y,(y \ x) / C,C). [para(4(a,1),9111(a,1,1))].

13711 a(x / (C * y),y,C) = a(x / y,y / C,C). [para(7(a,1),9111(a,1,1)),rewrite([8102(7)])].

13713 (x * (y * (x * z))) \ (C * (x * (y * (x * (z / C))))) = a(x * (y * x),z / C,C). [para(8(a,1),9111(a,1,1)),rewrite([8(9)])].

13722 a(x / (y * C),y,C) = a(x / y,y / C,C). [para(518(a,1),9111(a,1,1)),rewrite([41(8),2804(5),8102(7),13711(5),41(12)]),flip(a)].

13723 ((C / (x * (C * y))) * (C * (x * y))) / C = a(C * (C * x),y / C,C). [para(45(a,1),9111(a,1,1)),rewrite([437(13),41(11),2827(11),69(11)

])].

13726 a(C * (x * x),y / C,C) = a(x,(x * y) / C,C * C). [para(113(a,1),9111(a,1,1)),rewrite([437(11),1477(9),1637(10),12644(13)]),flip(a)].

13727 a(x * (C * x),y / C,C) = a(x,(x * y) / C,C * C). [para(113(a,1),9111(a,1,2,2)),rewrite([113(4),13713(13),13726(14)])].

13756 a(x,((y / C) / x) * (x / C),C) = a(x / (C * C),y,C). [para(1483(a,1),9111(a,1,1)),rewrite([1471(10),4450(10),1483(11),1471(9),1272(10)

,1595(7),8318(7),1471(12),4450(12)]),flip(a)].

13757 (x * ((x * y) / C)) \ (C * (x * ((x / (C * C)) * y))) = a(x * (x / C),y / C,C). [para(1637(a,1),9111(a,1,1)),rewrite([1637(11),1471(10

)])].

13812 a(x / y,y / C,C) = a(x,(C * y) * (x * C),C). [back_rewrite(11465),rewrite([13711(9),6(7),13722(5)])].

13846 x \ (C * ((x / y) * (y / C))) = a(x / y,y / C,C). [back_rewrite(8102),rewrite([13711(12)])].

13847 a(C * (C * x),y / C,C) = a(x,(y / x) * (C * x),C). [back_rewrite(9174),rewrite([13723(17)]),flip(a)].

13899 a((x / y) / (C * C),y,C) = a((x / C) / y,y / C,C). [para(3703(a,1),13711(a,1,1))].

14004 (x * (x * (C * (x \ (x \ y))))) \ (C * y) = a(x * x,x \ (x \ y),C). [para(21(a,1),9112(a,1,1)),rewrite([205(3),205(12)])].

14018 a(C * (C * x),(x \ (y / C)) / C,C) = a(x,x \ y,C). [para(45(a,1),9112(a,1,1)),rewrite([4208(8),42(9),7352(8),9112(7),4208(12)]),flip(a

)].

14047 ((x / (0 / (y * y))) * (C / (y * y))) \ (C * x) = a(y * (y / C),(C / (y * y)) * x,C). [para(1637(a,1),9112(a,1,1)),rewrite([1825(5),71

45(10),1825(18)])].

14057 a(C * (C * x),y / C,C) = a(x,(y / x) * (x * C),C). [para(2762(a,1),9112(a,1,1,2,2)),rewrite([7283(7),2827(11),69(11),13723(11),2762(12

)])].

14058 ((C * x) * (C * (x \ ((x / C) * y)))) \ (C * (x * y)) = a(C * x,x \ ((x / C) * y),C). [para(2803(a,1),9112(a,1,1,2,2)),rewrite([2803(1

9)])].

14061 a(x * C,((C / x) * y) / C,C) = a(x * C,C / x,y). [para(3624(a,1),9112(a,1,1,2,2)),rewrite([42(9),8168(11),3624(12)]),flip(a)].

14258 a(C,x * x,x \ (x \ y)) = (y * C) \ (x * (C * (x \ y))). [para(21(a,1),11641(a,1,2)),rewrite([2436(7),205(11)]),flip(a)].

14288 ((x / y) / x) * (x * y) = x * a(x,x / y,y). [para(11841(a,1),5(a,1,2)),rewrite([422(4)])].

14561 x \ (((x / y) / C) * (C * y)) = a(x / y,0 / C,C * y). [para(3703(a,1),11851(a,1,2,1,2)),rewrite([11(4,R),42(4),354(7),8642(16)])].

14575 (x / (C * (C * C))) * ((x \ C) * (C * (x * (C / x)))) = a(C,0 / x,C * (x * (C / x))). [para(6625(a,1),11851(a,1,2,1,2)),rewrite([11(6,

R),1435(10),4208(15),1595(13),1471(15),6839(6),6625(26)])].

14584 (x \ ((x / y) * (y * C))) / C = a(C * C,x,y / C). [para(4(a,1),12882(a,1,1,2,2)),rewrite([69(2),3802(4),69(12)])].

14585 a(C * C,x * y,y) = a(C * C,x,y). [para(6(a,1),12882(a,1,1,2,1)),rewrite([2827(5),12882(7)]),flip(a)].

14586 x \ ((x / y) * (C * y)) = C * a(C * C,x,y). [para(12882(a,1),7(a,1,1)),rewrite([11(6,R)]),flip(a)].

14587 a(C * C,x,y / C) = a(C * C,x,y). [para(11(a,1),12882(a,1,1,2,2)),rewrite([14584(7)])].

14589 (x \ (y * (C * (y \ x)))) / C = a(C * C,x,y \ x). [para(19(a,1),12882(a,1,1,2,1))].

14598 a(C * C,x,y * C) = a(C * C,x,y). [para(295(a,1),12882(a,1,1,2,2)),rewrite([7132(8),14584(7),14587(6)]),flip(a)].

14601 a(C * C,x,y / (C * C)) = a(C * C,x,y). [para(354(a,1),12882(a,1,1,2,2)),rewrite([6072(8),14584(7),14587(6)]),flip(a)].

14613 a(C * C,x,y * x) = a(C * C,x,y). [para(1429(a,1),12882(a,1,1,2,1)),rewrite([1328(6),2762(4),14584(7),14587(6)]),flip(a)].

14614 a(C * C,x,y \ x) = a(C * C,x,0 / y). [para(1435(a,1),12882(a,1,1,2,2)),rewrite([1336(6),11(3,R),14589(7)])].

14618 a(C * C,x,y \ x) = a(C * C,y,y \ x). [para(1697(a,1),12882(a,1,1,2,1)),rewrite([1432(6),5(7),14589(7)])].

14634 ((C / x) * ((x / y) * (C * y))) / (C * C) = a(C * C,C * x,y). [para(1048(a,1),12882(a,1,1,2,1)),rewrite([42(11),45(8),2827(9),69(9),38

6(11),14587(19)])].

14678 a(C * C,x,y \ C) = a(C * C,x,0 / y). [para(1334(a,1),14587(a,1,3)),flip(a)].

14687 a(C * C,x,y * (C * C)) = a(C * C,x,y). [para(4951(a,1),14587(a,1,3)),rewrite([17(8),18(7),14598(6)]),flip(a)].

14720 a(C * C,x,y / x) = a(C * C,x,y). [para(7(a,1),14613(a,1,3)),flip(a)].

14734 a(C * C,C * x,y / (x * C)) = a(C * C,C * x,y). [para(518(a,1),14613(a,1,3)),flip(a)].

14774 a(C * C,C * x,y * x) = a(C * C,C * x,y). [para(2765(a,1),14613(a,1,3)),rewrite([14587(9),14601(17)])].

14775 a(C * C,x,(y / x) * (x / C)) = a(C * C,x,y / (x * C)). [para(2804(a,1),14613(a,1,3))].

14799 a(C * C,x,0 / (y * C)) = a(C * C,x,C / y). [para(1850(a,1),14601(a,1,3))].

14812 a(C * C,(x * C) * y,0 / (C * x)) = a(C * C,x * C,y). [para(91(a,1),14614(a,1,3)),rewrite([14585(7)]),flip(a)].

14814 a(C * C,x,(y * C) \ x) = a(C * C,x,0 / (C * y)). [para(178(a,1),14614(a,1,3))].

14815 a(C * C,x,(C * y) \ x) = a(C * C,x,C / y). [para(178(a,2),14614(a,1,3)),rewrite([14799(15)])].

14819 a(C * C,x,x \ (x / y)) = a(C * C,x,0 / (x * y)). [para(1698(a,1),14614(a,1,3))].

14870 a(C * C,C * x,(x * C) \ y) = a(C * C,y,C / x). [para(178(a,1),14618(a,2,3)),rewrite([14815(7)]),flip(a)].

14902 a(C * C,x,(y * C) \ x) = a(C * C,x,C / y). [para(14618(a,2),8098(a,2)),rewrite([14870(9)]),flip(a)].

14928 a(C * C,x,0 / (C * y)) = a(C * C,x,C / y). [back_rewrite(14814),rewrite([14902(7)]),flip(a)].

14942 a(C * C,(x * C) * y,C / x) = a(C * C,x * C,y). [back_rewrite(14812),rewrite([14928(11)])].

15051 x \ ((x / y) * (y * C)) = C * a(C * C,x,y). [para(4(a,1),14586(a,1,2,2)),rewrite([69(2),3802(4),69(11),14587(12)])].

15067 x \ ((x / (y * (C * C))) * (C * (C * (y * C)))) = C * a(C * C,x,y). [para(46(a,2),14586(a,1,2,2)),rewrite([14687(22)])].

15388 (C * x) * (y * (C * x)) = C * ((C * x) * (y * x)). [para(286(a,1),1355(a,1)),rewrite([1355(4),1355(6),1355(11)])].

15551 ((C * x) * (y * (x * (C / x)))) / (0 / x) = C * ((C * x) * (y * x)). [back_rewrite(2642),rewrite([15388(16)])].

15561 (x * C) * (y * (x * C)) = C * ((C * x) * (y * x)). [back_rewrite(301),rewrite([15388(6)]),flip(a)].

15635 (C * x) / (0 / (y * C)) = (x * C) / (0 / (C * y)). [back_rewrite(3654),rewrite([15561(11),3653(11)]),flip(a)].

16071 ((C / ((x * C) * (C * y))) * (C * ((C * x) * y))) / C = a(C * (x * (C * C)),y / C,C). [para(462(a,1),9111(a,1,1)),rewrite([1492(17),17

(13),3(12),2827(15),69(15)])].

16229 (x * (C * (x * y))) / (C * C) = (x / (C * C)) * (x * (C * y)). [para(82(a,1),468(a,2,1,1)),rewrite([1477(3),1637(6),1471(8),43(12)]),f

lip(a)].

16362 (x * y) * (0 / y) = x. [para(3088(a,1),474(a,1,2,2)),rewrite([2154(5),3099(11),6(9),2153(6),4(4)]),flip(a)].

16427 x * (C / x) = C. [back_rewrite(2069),rewrite([16362(5)]),flip(a)].

16446 ((C * x) * (y * C)) / (0 / x) = C * ((C * x) * (y * x)). [back_rewrite(15551),rewrite([16427(5)])].

16459 a(x,C,0 / x) = 0. [back_rewrite(14575),rewrite([16427(12),295(12,R),11(11,R),9559(13),9647(8),16427(11),9038(11)])].

16501 a(C * x,C,y / C) = a(x,C / x,x * y). [back_rewrite(12167),rewrite([16427(6),13345(7)])].

16521 C * (x \ C) = C * (C / x). [back_rewrite(11129),rewrite([16427(12),16229(12),1550(5),1328(10),5(8)]),flip(a)].

16524 (0 / x) / C = 0 / (C * x). [back_rewrite(11120),rewrite([16427(6),1446(6)])].

16552 x * (C * (C / x)) = C * C. [back_rewrite(9432),rewrite([16459(4),2(7),16459(10),16427(10),2(9)])].

16573 (C / x) / C = 0 / x. [back_rewrite(6920),rewrite([16552(5),1636(4),16521(4),361(8),16427(7),1460(8)])].

16574 x \ C = C / x. [back_rewrite(6813),rewrite([16552(7),1443(6),1851(5),16573(5),1435(4),16427(7),11(6,R),41(8)])].

16590 C * (C / (x / y)) = C * (C * (y / x)). [back_rewrite(6626),rewrite([16427(7),295(5,R),11(4,R)]),flip(a)].

16598 C * (x \ ((x / C) * (x * y))) = (x / C) * (C * y). [back_rewrite(6310),rewrite([16427(3),422(5)]),flip(a)].

16692 a(x,y,0 / y) = 0. [back_rewrite(9347),rewrite([16459(4),3(2),16573(5),16362(4),16(1),16573(5)]),flip(a)].

16750 C * (((x / C) * (C * y)) * ((x * C) * y)) = ((x * C) * y) / (0 / ((C * x) * y)). [back_rewrite(10883),rewrite([16573(10)]),flip(a)].

16826 (x * (C / y)) / (C * (C / y)) = (x * (0 / y)) / (C / y). [back_rewrite(7451),rewrite([16574(2),16574(6),16574(13)])].

16871 C / (0 / x) = C * x. [back_rewrite(1731),rewrite([16574(3),16574(5),16590(6),42(5)]),flip(a)].

16929 (x * (0 / (C * (x * (y * x))))) \ ((y \ (0 / x)) / C) = a(x,0 / (x * (y * x)),0 / C). [back_rewrite(13636),rewrite([16524(6)])].

16985 (x / (0 / (y * (C * C)))) / C = C * ((x / C) / (0 / (C * y))). [back_rewrite(11229),rewrite([16524(16)])].

17140 (x \ (0 / y)) / (0 / (C * (y * (x * y)))) = (x \ (C / y)) / (0 / (y * (x * y))). [back_rewrite(7865),rewrite([16524(9),16574(12)])].

17142 (0 / (C * (x * (y * x)))) / (y \ (0 / x)) = (0 / (x * (y * x))) / (y \ (C / x)). [back_rewrite(7845),rewrite([16524(6),16574(16)])].

17148 (C / x) * (0 / (C * x)) = C / ((C * x) * x). [back_rewrite(7719),rewrite([16574(2),6298(7),16574(4),5836(5),16574(7),16524(11)]),flip(

a)].

17150 (x * (0 / y)) / (0 / (C * y)) = (x * (C / y)) / (0 / y). [back_rewrite(7537),rewrite([16524(7),16574(10)])].

17172 (C / x) * (0 / x) = (C / x) / x. [back_rewrite(5105),rewrite([16574(3),16524(7),17148(8),5833(7),16574(5)]),flip(a)].

17190 (x * y) / (0 / (C * x)) = x * ((C * y) * x). [back_rewrite(1929),rewrite([16524(5)])].

17194 (C * x) * x = x * (C * x). [back_rewrite(1871),rewrite([16524(4),2589(5)])].

17292 (x * C) \ ((x * (y * C)) * (0 / y)) = a(x,y * C,0 / y). [back_rewrite(12151),rewrite([16573(9),16573(15)])].

17299 (x / (0 / (C * y))) / C = C * ((x / C) / (0 / y)). [back_rewrite(11181),rewrite([16573(7)]),flip(a)].

17328 (x / (0 / (y * C))) * (0 / y) = (C * y) * (C * ((C * y) \ x)). [back_rewrite(6082),rewrite([16573(9)])].

17329 (C * x) / (0 / (y * C)) = C * (C * (x / (0 / y))). [back_rewrite(5778),rewrite([16573(6)]),flip(a)].

17336 (C * x) * (0 / (C * y)) = C * ((x / C) * (0 / y)). [back_rewrite(3020),rewrite([16573(7)]),flip(a)].

17392 a(C * C,x,C / y) = a(C * C,x,0 / y). [back_rewrite(14678),rewrite([16574(5)])].

17531 C * ((x * (x / C)) / (C / y)) = ((x * x) / (0 / y)) / C. [back_rewrite(11195),rewrite([16574(6)])].

17533 ((C / x) / (0 / y)) / C = C * ((0 / x) / (C / y)). [back_rewrite(11193),rewrite([16574(2),16574(12)])].

17539 C * ((x / (C * C)) / (C / y)) = ((x / C) / (0 / y)) / C. [back_rewrite(11186),rewrite([16574(7)])].

17583 (C * x) * (C * (x \ ((x / C) * y))) = x * (C * y). [back_rewrite(10805),rewrite([16871(4),16574(5),1595(6)])].

17595 (C * x) * (C * ((x * C) \ y)) = x * (C * (x \ y)). [back_rewrite(10550),rewrite([16871(4),16574(4),1853(7)])].

17622 ((0 / x) / (C * y)) * (C * z) = (((C / x) / y) * z) / C. [back_rewrite(10460),rewrite([16574(10)])].

17665 (x / (C / y)) / y = y * ((y \ x) / C). [back_rewrite(10053),rewrite([16574(6),16692(10),18(6),16574(6)]),flip(a)].

17667 (C * (C * x)) / y = C * (x * (C / y)). [back_rewrite(10021),rewrite([16574(3),16692(12),18(7)]),flip(a)].

17694 x * ((C * ((x \ y) / x)) * x) = (y * (C / x)) / (0 / x). [back_rewrite(7543),rewrite([16574(8)])].

17701 C * ((x / C) / (C / y)) = (x / (0 / y)) / C. [back_rewrite(7191),rewrite([16574(5)])].

17735 (x / C) * x = x * (x / C). [back_rewrite(2739),rewrite([16574(3),1459(4),1999(5),16574(6),17172(9),1459(8),1974(6)]),flip(a)].

17753 C * (C * (x / (C / y))) = (C * x) / (0 / y). [back_rewrite(1582),rewrite([16574(4)])].

17796 x * (y * (0 / z)) = x * (y / z). [back_rewrite(12046),rewrite([16692(8),8031(7),3(6),16692(9),3(8)])].

17805 (x / ((0 / y) / x)) / y = y * ((y \ x) * x). [back_rewrite(10058),rewrite([16692(10),18(5)]),flip(a)].

17809 x * ((x * (0 / y)) / C) = (x * (x / C)) / y. [back_rewrite(10041),rewrite([16692(12),18(8)])].

17812 (x * y) / x = x * (y / x). [back_rewrite(10029),rewrite([16692(6),18(4)]),flip(a)].

17813 x \ (0 / y) = (0 / x) / y. [back_rewrite(10025),rewrite([16692(8),18(5)])].

17820 (x * x) / y = x * (x / y). [back_rewrite(10010),rewrite([17796(4),16692(6),18(4)]),flip(a)].

17821 (x * (y * x)) / z = x * (y * (x / z)). [back_rewrite(10007),rewrite([17796(4),16692(8),18(5)]),flip(a)].

17848 x * (0 / y) = x / y. [back_rewrite(9565),rewrite([16692(6),18(5)])].

18320 (x / C) * (C * (x \ ((x \ y) / C))) = (C * x) \ y. [back_rewrite(5703),rewrite([17194(6),4199(7),69(6)])].

18422 (x / (0 / (y * C))) / C = C * ((x / C) / (0 / y)). [back_rewrite(11182),rewrite([17299(7)]),flip(a)].

18462 (C / x) * (x * (x * y)) = C * (C * ((x / C) * y)). [back_rewrite(3540),rewrite([17735(6),1478(7),21(4)])].

18474 (x * C) / (0 / (C * y)) = C * (C * (x / (0 / y))). [back_rewrite(15635),rewrite([17329(7)]),flip(a)].

18480 a(C * C,(x * C) * y,0 / x) = a(C * C,x * C,y). [back_rewrite(14942),rewrite([17392(9)])].

18493 a(C * C,C * x,(x * C) \ y) = a(C * C,y,0 / x). [back_rewrite(14870),rewrite([17392(15)])].

18508 a(C * x,x \ ((x / C) * y),C) = a(x,y,C). [back_rewrite(14058),rewrite([17583(9),8047(7)]),flip(a)].

18512 (C * x) * (C * ((C * x) \ y)) = x * (C * (x \ y)). [back_rewrite(10134),rewrite([17595(16)])].

18697 a(x,y,0 / x) = 0. [back_rewrite(8177),rewrite([17848(3),7(4),16(1)]),flip(a)].

18712 (C * x) / (C * y) = C * ((x / C) / y). [back_rewrite(17336),rewrite([17848(7),17848(11)])].

18796 (0 / (x * y)) / a(x,y,0 / ((x * y) * (x * y))) = x * (y / ((x * y) * (x * y))). [back_rewrite(8825),rewrite([17848(16)])].

18801 (0 / (x * (y / ((x * y) * (x * y))))) / (x * y) = a(x,y,0 / ((x * y) * (x * y))). [back_rewrite(8157),rewrite([17848(6),17813(9)])].

18974 x / (x * (y * x)) = (0 / y) / x. [back_rewrite(5243),rewrite([17848(5),17813(6)])].

18976 (x / y) / x = x / (x * y). [back_rewrite(2385),rewrite([17848(4),17848(6)])].

19008 (0 / (C * (x * (y * x)))) / ((0 / y) / x) = (0 / (x * (y * x))) / (y \ (C / x)). [back_rewrite(17142),rewrite([17813(9)])].

19009 ((0 / x) / y) / (0 / (C * (y * (x * y)))) = (x \ (C / y)) / (0 / (y * (x * y))). [back_rewrite(17140),rewrite([17813(3)])].

19019 a(x,0 / (x * (y * x)),0 / C) = C * ((x * (y / C)) * ((0 / y) / x)). [back_rewrite(16929),rewrite([17848(7),17813(8),1595(11),3014(11),

17821(6),1429(4),17848(5)]),flip(a)].

19093 (x * y) / (0 / (x * (z * x))) = x * ((y / ((0 / z) / x)) * x). [back_rewrite(7797),rewrite([17813(9)])].

19237 C * ((x * (x / C)) / (C / y)) = (x * (x / (0 / y))) / C. [back_rewrite(17531),rewrite([17820(12)])].

19310 (x * (x / C)) / y = x * ((x / y) / C). [back_rewrite(17809),rewrite([17848(3)]),flip(a)].

19328 (x / (0 / (y * C))) / y = y * (C * (y \ x)). [back_rewrite(17328),rewrite([17848(8),18512(14)])].

19331 (x * C) \ ((x * y) / (y / C)) = a(x,y * C,0 / y). [back_rewrite(17292),rewrite([17848(8),4951(6)])].

19332 (x * (C / y)) / (0 / y) = (x / y) / (0 / (C * y)). [back_rewrite(17150),rewrite([17848(3)]),flip(a)].

19334 (x * (C / y)) / (C * (C / y)) = (x / y) / (C / y). [back_rewrite(16826),rewrite([17848(11)])].

19375 (x * y) \ ((x / z) * (z * y)) = a(x,0 / z,z * y). [back_rewrite(12670),rewrite([17848(4)])].

19407 x \ (y * ((x / y) * z)) = (x \ y) * (x * (y \ z)). [back_rewrite(10219),rewrite([17848(3),1595(2)])].

19453 ((x * y) / z) / x = x * (y / (x * z)). [back_rewrite(2099),rewrite([17848(5)])].

19458 (x * (y * z)) * (a(x,y,z) / (x * (y * z))) = ((x * y) * z) / (x * (y * z)). [back_rewrite(2072),rewrite([17848(14)])].

19460 x * ((x \ y) / x) = y / x. [back_rewrite(2062),rewrite([17848(6)])].

19461 x \ (y / x) = (x \ y) / x. [back_rewrite(1973),rewrite([17848(3)])].

19465 (x / (y \ z)) / y = y * ((y \ x) / z). [back_rewrite(1340),rewrite([17848(5)])].

19598 C * ((x / C) / (y / (C * z))) = C * (C * (x / ((y * C) / z))). [back_rewrite(6759),rewrite([18712(8)])].

19640 x * a(x,x / y,y) = x. [back_rewrite(14288),rewrite([18976(2),7(4)]),flip(a)].

19730 C * (x * ((x / (C / y)) / C)) = (x * (x / (0 / y))) / C. [back_rewrite(19237),rewrite([19310(7)])].

19763 x * ((C * ((x \ y) / x)) * x) = (y / x) / (0 / (C * x)). [back_rewrite(17694),rewrite([19332(12)])].

19833 (x / (0 / (y * (C * C)))) / C = (C * x) / (0 / y). [back_rewrite(16985),rewrite([19598(18),2(14),17753(16)])].

19906 (x * (x / y)) * y = x * x. [back_rewrite(11841),rewrite([19640(3)]),flip(a)].

19992 (x * C) \ ((x * y) * (C / y)) = a(x,y,C / y). [para(16427(a,1),54(a,1,1,2))].

19993 a(x,C,((C / x) * y) / C) = a(x,C / x,y). [para(16427(a,1),54(a,1,2,1)),rewrite([13339(7)])].

20023 (x * ((C / x) * y)) \ (C * y) = a(x,C / x,y). [back_rewrite(13339),rewrite([19993(14)])].

20027 (x / (0 / y)) * (C / y) = y * (C * (y \ x)). [para(16574(a,1),1336(a,1,2)),rewrite([11(9,R)])].

20044 a(x * (x / C),(C / (x * x)) * y,C) = a(x * x,x \ (x \ y),C). [back_rewrite(14047),rewrite([20027(8),205(4),21(6),14004(9)]),flip(a)].

20047 a(x,y / z,z / y) = 0. [para(1459(a,1),16692(a,1,3))].

20052 a(x,y,x) = 0. [para(16692(a,1),8176(a,1)),rewrite([1459(6),18(4),9615(3)]),flip(a)].

20065 (x * (y / z)) * (z / y) = x. [back_rewrite(11893),rewrite([20047(3),3(2)]),flip(a)].

20066 x / (y / z) = x * (z / y). [back_rewrite(10026),rewrite([20047(5),18(4)]),flip(a)].

20131 (x * (y * (y / x))) * x = (x * y) * y. [back_rewrite(5059),rewrite([20066(4),20052(5),3(4),20066(4)]),flip(a)].

20135 (x * y) * x = x * (y * x). [back_rewrite(59),rewrite([20052(1),3(2)]),flip(a)].

20136 (x * y) * (C / y) = y * (C * (y \ x)). [back_rewrite(19328),rewrite([20066(5),18(4),4951(4),20066(4)])].

20148 (x * (y * C)) / C = C * ((x / C) * y). [back_rewrite(18422),rewrite([20066(5),18(4),20066(11),18(10)])].

20151 (C * x) * (y * C) = C * (C * (x * y)). [back_rewrite(17329),rewrite([20066(7),18(6),20066(10),18(9)])].

20177 (x * (C * y)) * (x * (C * y)) = x * ((C * y) * (x * (y * C))). [back_rewrite(5745),rewrite([20066(5),18(4),20135(4),20066(9),18(8),8(7

),20066(12),18(11),20066(15),18(14)]),flip(a)].

20183 x * ((C * ((x \ y) / x)) * x) = (y / x) * (C * x). [back_rewrite(19763),rewrite([20066(12),18(11)])].

20189 ((0 / x) / y) * (C * (y * (x * y))) = (x \ (C / y)) * (y * (x * y)). [back_rewrite(19009),rewrite([20066(10),18(9),20066(16),18(15)])]

.

20194 (x * C) * (C * y) = C * (C * (x * y)). [back_rewrite(18474),rewrite([20066(7),18(6),20066(10),18(9)])].

20198 (x * (C * y)) / C = C * ((x / C) * y). [back_rewrite(17299),rewrite([20066(5),18(4),20066(11),18(10)])].

20199 (x * y) * (C * x) = x * ((C * y) * x). [back_rewrite(17190),rewrite([20066(6),18(5)])].

20269 (x * (y * (C * C))) / C = (C * x) * y. [back_rewrite(19833),rewrite([20066(7),18(6),20066(12),18(11)])].

20272 C * (x * ((x / (C * C)) * y)) = (x * (x * y)) / C. [back_rewrite(19730),rewrite([20066(4),1471(6),20066(11),18(10)])].

20294 (x * y) * (x * (z * x)) = x * ((y * (x * z)) * x). [back_rewrite(19093),rewrite([20066(6),18(5),20066(8),20066(7),18(6)])].

20322 C * (C * (x * (y / C))) = (C * x) * y. [back_rewrite(17753),rewrite([20066(5),20066(12),18(11)])].

20323 C * ((x / C) * (y / C)) = (x * y) / C. [back_rewrite(17701),rewrite([20066(6),20066(10),18(9)])].

20384 ((x / C) * y) / C = x * (y / (C * C)). [back_rewrite(17539),rewrite([20066(8),1272(9),386(4),20066(10),18(9)]),flip(a)].

20389 ((C / x) * y) / C = C * (x \ (y / C)). [back_rewrite(17533),rewrite([20066(5),18(4),20066(11),1328(11)])].

20463 C * (((x / C) * (C * y)) * ((x * C) * y)) = ((x * C) * y) * ((C * x) * y). [back_rewrite(16750),rewrite([20066(20),18(19)])].

20464 C * ((C * x) * (y * x)) = C * (x * ((C * y) * x)). [back_rewrite(16446),rewrite([20151(5),20066(8),18(7),45(6),20199(5)]),flip(a)].

20549 ((x * y) / C) * x = x * ((y * x) / C). [back_rewrite(10812),rewrite([20323(7),20066(10),18(9)]),flip(a)].

20643 ((x / C) * (C * y)) * ((x * C) * y) = ((x * C) * y) * ((x / C) * (C * y)). [back_rewrite(5962),rewrite([20066(11),18(10)])].

20671 ((x / C) * (C * y)) * ((C * x) * y) = ((C * x) * y) * ((x / C) * (C * y)). [back_rewrite(2711),rewrite([20066(11),18(10)])].

20675 ((x \ y) * x) / (x * (y * x)) = 0 / (x * x). [back_rewrite(2528),rewrite([20066(5),18(4)])].

20694 x \ (y * x) = (x \ y) * x. [back_rewrite(2073),rewrite([20066(3),18(2)])].

20702 x * ((x \ y) * x) = y * x. [back_rewrite(1967),rewrite([20066(6),18(5)])].

20704 x \ ((y * x) * z) = (x \ y) * (x * z). [back_rewrite(1431),rewrite([20066(3),18(2)])].

20705 (x * y) * (y \ z) = y * ((y \ x) * z). [back_rewrite(1336),rewrite([20066(3),18(2)])].

20770 (x * (C / y)) / (C * (C / y)) = (x / y) * (y / C). [back_rewrite(19334),rewrite([20066(12)])].

20771 (x * C) \ (y * (C * (y \ x))) = a(x,y * C,0 / y). [back_rewrite(19331),rewrite([20066(6),20136(6)])].

20787 (0 / (x * (y * x))) / (y \ (C / x)) = x \ ((x / (y * (x * C))) * y). [back_rewrite(19008),rewrite([20066(10),20066(9),18(8),1328(8),62

84(6)]),flip(a)].

20829 x * ((x \ y) * y) = y * y. [back_rewrite(17805),rewrite([20066(4),20066(3),18(2),77(3)]),flip(a)].

20837 (x * y) / (y * C) = y * ((y \ x) / C). [back_rewrite(17665),rewrite([20066(3),4944(4)])].

21143 x * (C * (x \ (y / (C * C)))) = ((y * x) / C) / x. [back_rewrite(7585),rewrite([20066(8),20136(8)])].

21240 (x * (C / y)) * (y / (C * C)) = (x / y) * (y / C). [back_rewrite(6201),rewrite([20066(3)])].

21273 (x * (y * C)) / y = y * (C * (y \ x)). [back_rewrite(4951),rewrite([20066(8),20136(8)])].

21306 (x * C) * (C / y) = C * (C * (x / y)). [back_rewrite(3665),rewrite([20066(5)])].

21374 (x * y) * y = x * (y * y). [back_rewrite(20131),rewrite([20135(4),19906(3)]),flip(a)].

21390 a(x,y * C,0 / y) = a(x,y,C / y). [back_rewrite(19992),rewrite([20136(6),20771(7)])].

21433 ((x * (C * y)) / z) / (C * C) = C * ((x * (y / (C * C))) / z). [back_rewrite(6888),rewrite([20148(13),18712(16),20384(14)])].

21461 a(x / y,y / C,C) = a(x,C * (C * (y * x)),C). [back_rewrite(13812),rewrite([20151(10)])].

21462 ((x * y) \ ((C * x) * y)) / C = a(C,x / C,C * (C * y)). [back_rewrite(13477),rewrite([20151(5),4208(11),20198(8),26(8)])].

21475 ((x * (C * y)) \ (C * (C * (x * y)))) / C = a(x * C,C * y,C). [back_rewrite(9181),rewrite([20194(7),20151(13),2827(15),1460(8),1328(12

),69(11)])].

21483 a(C * C,x,y) = a(x * C,C,y). [back_rewrite(8214),rewrite([20151(5),2827(11),1460(6),1328(8),2827(6),14586(6),5(8)])].

21514 ((C * x) * y) * ((x / C) * (C * y)) = (C * x) * (y * (x * y)). [back_rewrite(447),rewrite([20177(12),2902(11),3011(10),20464(11),42(8)

,26(9),20671(14)]),flip(a)].

21542 a(C * (x * (C * C)),y / C,C) = a(x,0 / C,C * y). [back_rewrite(16071),rewrite([20194(6),1460(7),1328(11),2827(9),69(9),20389(9),436(7)

,19375(8),17812(10),42(10)]),flip(a)].

21566 a(C * C,x,y) = a(C * x,C,y). [back_rewrite(13393),rewrite([20194(5),2827(11),1460(6),1328(8),2827(6),15051(6),5(8)])].

21578 C * (x \ ((x / y) * (y / C))) = a(C,x,C * (C * y)). [back_rewrite(9082),rewrite([20194(14),2827(15),69(15),20198(15),18976(10),1460(10

),1328(12),2827(10),6694(9)])].

21580 a(x * C,C * y,C) = a(C,C * (C * x),y). [back_rewrite(9044),rewrite([20194(8),21475(11)])].

21583 a(C,x,C * (C * y)) = a(C,x,y * C). [back_rewrite(8212),rewrite([20194(10),2827(11),69(11),20198(11),18976(8),1460(8),1328(8),2827(6),2

804(5),21578(7)])].

21585 a(C,x / C,y * C) = a(C * x,y,C). [back_rewrite(8210),rewrite([20194(5),2827(11),1460(6),1328(8),69(7),21462(7),21583(8)])].

21661 a(C * (C * x),y / C,C) = a(C,x,y * C). [back_rewrite(13723),rewrite([20198(11),18976(8),1460(8),1328(8),2827(6),3393(5),21578(7),21583

(6)]),flip(a)].

21672 a(x,C * y,0 / C) = a(x,C,y / C). [back_rewrite(12668),rewrite([20198(6),8053(7)]),flip(a)].

21684 ((x / C) / y) * (C * y) = C * (((x / y) / C) * y). [back_rewrite(6914),rewrite([20198(6)]),flip(a)].

21689 C * (x \ ((x / C) * y)) = C * (((y / x) / C) * x). [back_rewrite(6097),rewrite([20198(10),18976(5),1460(5),1328(7),21684(12)])].

21764 (x / (y * y)) * (C * (y * y)) = (C * (x / y)) * y. [back_rewrite(6098),rewrite([20269(8)]),flip(a)].

21766 x * ((C * (y / x)) * x) = (C * x) * y. [back_rewrite(3461),rewrite([20322(8),20269(12)])].

21776 a(x * (x / C),y / C,C) = a(x,x * y,0 / C). [back_rewrite(13757),rewrite([20272(12),8151(9)]),flip(a)].

21791 (x * y) * (x * y) = x * (y * (x * y)). [back_rewrite(126),rewrite([20294(6),3026(9),6(6),25(6)]),flip(a)].

21801 a(x,y / C,C * C) = a(x,C,y). [back_rewrite(12645),rewrite([20322(10),9231(7)]),flip(a)].

21892 a(C,C * (C * x),x \ (y / C)) = a(x * C,C / x,y). [back_rewrite(14061),rewrite([20389(7),21580(9)])].

21906 a(C,C * x,(x \ y) / C) = a(C,x,C * (x \ (y / C))). [back_rewrite(12597),rewrite([20389(13)])].

21921 a(0 / (C * C),C * x,y) = a(C,C * x,C * y). [back_rewrite(9078),rewrite([20389(15),20198(13),26(13),6265(10),2804(9),3014(9),3393(8),28

27(10),13277(9),69(11),42(12)])].

21923 a(C,x,y / C) = a(C,x,y * C). [back_rewrite(8204),rewrite([20389(11),20384(9),2827(10),20066(4),21240(9),21578(7),21583(6)]),flip(a)].

21924 a(C,C * x,C * y) = a(C,C * x,y). [back_rewrite(8086),rewrite([20389(11),20198(9),6296(10),3393(8),13277(9),21921(10),69(9),42(10)])].

21948 (C / x) * (x * (y / C)) = C * ((y / x) * (x / C)). [back_rewrite(6011),rewrite([20389(6),1033(5),2804(5)]),flip(a)].

21966 (C * x) \ (y * C) = C * (x \ (y / C)). [back_rewrite(3625),rewrite([20389(10)])].

22110 ((x * C) * y) * ((C * x) * y) = (x * C) * (y * ((x * C) * y)). [back_rewrite(20463),rewrite([20643(10),5954(11),21791(7)]),flip(a)].

22236 x \ (y * ((y \ z) * (z \ x))) = a(z,y,y \ (z \ x)). [back_rewrite(12072),rewrite([20705(4)])].

22351 a(C,x * x,x \ (x \ y)) = a(y,x,C / x). [back_rewrite(14258),rewrite([20771(12),21390(10)])].

22373 (C * ((x / C) * y)) / y = y * ((y \ (C * x)) / C). [back_rewrite(7417),rewrite([20837(12)])].

22375 (x * (y / C)) / y = y * ((y \ x) / C). [back_rewrite(4944),rewrite([20837(8)])].

22540 (x / y) / y = x / (y * y). [back_rewrite(7630),rewrite([21374(2),1698(3),4(4)]),flip(a)].

22574 a(C,C * (C * x),y) = a(C * x,y,C). [back_rewrite(9043),rewrite([21462(11),21583(10),11(7,R),21583(8),21585(6)]),flip(a)].

22609 (C * x) * (y * ((C * x) * y)) = C * ((C * x) * (y * (x * y))). [back_rewrite(2993),rewrite([21514(10),21791(14)]),flip(a)].

22620 ((x * (C * y)) \ (C * (C * (x * y)))) / C = a(C * x,y,C). [back_rewrite(21475),rewrite([21580(17),22574(17)])].

22648 a(x,(y / x) * (x * C),C) = a(C,x,y * C). [back_rewrite(14057),rewrite([21661(8)]),flip(a)].

22649 a(C,x,C * (x \ (y / C))) = a(x,x \ y,C). [back_rewrite(14018),rewrite([21661(11),11(6,R)])].

22650 a(x,(y / x) * (C * x),C) = a(C,x,y * C). [back_rewrite(13847),rewrite([21661(8)]),flip(a)].

22672 (x / C) * (C * y) = C * (x * (y / C)). [back_rewrite(16598),rewrite([21689(7),17812(3),20549(6),7(3)]),flip(a)].

22673 a(C,C * x,((y / x) / C) * x) = a(C,x,C * y). [back_rewrite(12512),rewrite([21689(9),21924(10)])].

22694 (x / y) * (C * y) = y * ((C / y) * x). [back_rewrite(20183),rewrite([21766(6),20705(4),16574(2)]),flip(a)].

22697 a(x,y,0 / (x * (y * (x * y)))) = 0. [back_rewrite(18801),rewrite([21791(4),1548(5),17848(6),18974(4),20066(5),20066(4),18(3),2(3),17(3

),21791(5)]),flip(a)].

22698 (0 / x) / y = 0 / (y * x). [back_rewrite(18796),rewrite([21791(7),22697(9),18(5),21791(6),1548(7),17848(8),18974(6)]),flip(a)].

22775 a(x * (C * x),y / C,C) = a(x,C,x * y). [back_rewrite(13727),rewrite([21801(14)])].

22796 (C / x) * ((x / y) * (y / C)) = a(C,C * x,y). [back_rewrite(13277),rewrite([21921(15),21924(13)])].

22800 a(C,x,(C / x) * y) = a(x,x \ y,C). [back_rewrite(21906),rewrite([21923(7),11(6,R),21924(7),12506(5),22649(12)])].

22820 a(C,x * (C * C),C * ((C * x) \ (y / C))) = a(C,x,(x * C) \ y). [back_rewrite(12581),rewrite([21923(13),11(12,R)])].

22823 a(C,x * (C * x),C * (x \ (x \ (y / C)))) = a(C,x * x,x \ ((x \ y) / C)). [back_rewrite(12563),rewrite([21923(11),11(10,R)])].

22834 a(C * x,x \ y,C) = a(C,x,x \ (y * C)). [back_rewrite(12386),rewrite([21923(9),11(8,R),21924(9),22574(7)])].

22835 a(C,C * (x * C),x \ y) = a(C,x,x \ (C * y)). [back_rewrite(12385),rewrite([21923(9),11(8,R),21924(9)])].

22840 a(C,x * (C * C),C * (x \ (y / C))) = a(C,x,x \ y). [back_rewrite(12347),rewrite([21923(11),11(10,R)])].

22861 (C * (x / y)) * y = (C / y) * (y * x). [back_rewrite(3993),rewrite([21948(7),20322(8)])].

22882 a(C,C * (x * x),x \ ((x \ y) / C)) = a(y,x,C / x). [back_rewrite(12348),rewrite([22351(14)])].

22944 a(x * C,C / x,y) = a(C,x,x \ y). [back_rewrite(21892),rewrite([22574(9),22834(7),11(5,R),42(5)]),flip(a)].

22952 a(C * (x * C),x \ ((x / C) * y),C) = a(C,x * (C * C),y). [back_rewrite(12513),rewrite([22574(12)])].

23029 x * ((x \ (x \ y)) / C) = (C * x) \ y. [back_rewrite(18320),rewrite([22672(9),5569(9)])].

23055 a(x / y,0 / C,C * y) = a(x / y,y / C,C). [back_rewrite(14561),rewrite([22672(6),13846(7)]),flip(a)].

23112 (x * ((C / x) * y)) / C = C * (x * ((x \ y) / C)). [back_rewrite(4030),rewrite([22672(12)])].

23125 C * (x * ((x \ (C * y)) / C)) = x * ((C / x) * y). [back_rewrite(1835),rewrite([22672(8)])].

23131 a(x,x * ((C / x) * y),C) = a(C,x,y * C). [back_rewrite(22650),rewrite([22694(4)])].

23137 (C / x) * (x * y) = x * (C * (x \ y)). [back_rewrite(21764),rewrite([22694(6),21(6),2436(5),22861(8)]),flip(a)].

23186 ((C / x) * (y * ((C / y) * x))) / (C * C) = a(C * C,C * x,y). [back_rewrite(14634),rewrite([22694(6)])].

23187 x \ (y * ((C / y) * x)) = C * a(C * C,x,y). [back_rewrite(14586),rewrite([22694(4)])].

23189 a(C * (C * x),C,y / C) = a(x,C,x * ((C / x) * y)). [back_rewrite(13448),rewrite([22694(13)])].

23194 a(C,C * x,x * ((C / x) * y)) = a(C,x,y * C). [back_rewrite(12416),rewrite([22694(7),22800(16),2762(12),22648(14)])].

23195 a(C,x / C,C * (x * ((C / x) * y))) = a(C,C * x,y). [back_rewrite(12335),rewrite([22694(8)])].

23204 a(x / y,y,C) = a(y,C / y,x). [back_rewrite(9113),rewrite([22694(4),20023(7)]),flip(a)].

23217 x \ ((x / (x * ((C / x) * y))) * z) = (C * (x * y)) \ (x * z). [back_rewrite(6315),rewrite([22694(4)])].

23220 (x / y) * (y * C) = y * ((C / y) * x). [back_rewrite(6092),rewrite([22694(8),1429(6),1328(5),421(4)]),flip(a)].

23228 x \ (x / (x * ((C / x) * y))) = x \ ((x / C) / y). [back_rewrite(3848),rewrite([22694(4)])].

23269 0 / ((x \ (C / y)) * (y * (x * y))) = y \ ((y / (x * (y * C))) * x). [back_rewrite(20787),rewrite([22698(8)])].

23305 x \ ((x / y) * (y * (x * C))) = (y \ (C / x)) * (x * (y * x)). [back_rewrite(20189),rewrite([22698(3),1328(8),6285(6)])].

23372 a(x,0 / (x * (y * x)),0 / C) = C * ((x * (y / C)) / (x * y)). [back_rewrite(19019),rewrite([22698(15),17848(16)])].

23432 x \ (0 / y) = 0 / (y * x). [back_rewrite(17813),rewrite([22698(6)])].

23436 ((C * x) * y) \ (C * z) = (((C / y) / x) * z) / C. [back_rewrite(17622),rewrite([22698(5),1328(8)])].

23556 (x \ y) \ (x \ z) = x * ((y * x) \ z). [back_rewrite(5543),rewrite([22698(3),1328(4)]),flip(a)].

23557 (x * y) \ (y * z) = y \ ((y \ x) \ z). [back_rewrite(5520),rewrite([22698(3),1328(5)])].

23593 a(C,x,x * (C * (x \ y))) = a(C,C * x,y). [back_rewrite(12303),rewrite([23137(5)])].

23594 a(C,C * x,y * C) = a(x,y,C). [back_rewrite(18508),rewrite([22834(8),11(6,R),19407(7),16574(3),69(5),23137(7),23593(8),21923(6)])].

23595 a(C,x,x \ (y * C)) = a(C * C,y,x). [back_rewrite(9191),rewrite([23436(13),1460(5),19465(4),1379(2),22698(3),17848(4),1429(2),1328(7),2

3187(5),17812(8),42(8),22834(9)]),flip(a)].

23596 a(C,x * C,y) = a(x,y,C). [back_rewrite(12364),rewrite([22835(10),19407(7),16574(3),69(5),23137(7),23593(8),21923(6),23594(6)]),flip(a)

].

23605 x * (x * (C * (x \ y))) = (C * x) * y. [back_rewrite(21766),rewrite([22861(4),23137(4)])].

23637 (C / x) * (((x * y) / C) / y) = a(C,(x / (C * C)) / y,y). [back_rewrite(12643),rewrite([22861(10),23137(10),21143(10)])].

23661 a(x * C,y / C,C) = a(C,x / C,y). [back_rewrite(12146),rewrite([22944(8),12298(6)]),flip(a)].

23680 (C * x) \ (y / C) = (x \ y) / (C * C). [back_rewrite(5517),rewrite([23029(7)])].

23738 C * (C * ((x / C) * y)) = x * (C * y). [back_rewrite(18462),rewrite([23137(5),5(3)]),flip(a)].

23786 a(C,x,x \ (C * y)) = a(C * C,y,x). [back_rewrite(12104),rewrite([23187(5),17812(8),42(8)]),flip(a)].

23862 a(C * C,(x * C) * y,x) = a(C,x,y * C). [back_rewrite(12383),rewrite([23220(7),23596(8),23131(6),23786(12)]),flip(a)].

23882 x \ (C * (C * y)) = C * ((C / x) * y). [back_rewrite(2809),rewrite([23220(5),5(6)]),flip(a)].

23975 a(C * x,x \ y,C) = a(C * C,y,x). [back_rewrite(22834),rewrite([23595(10)])].

23984 a(x / (C * C),y,C) = a(C,x / C,y). [back_rewrite(12503),rewrite([23596(10),13756(8)])].

23985 a(C,x * (C * C),x \ ((x / C) * y)) = a(x,y,C). [back_rewrite(12497),rewrite([23596(14)])].

23990 a(x,x \ ((x / C) * y),C) = a(C,x,y). [back_rewrite(12358),rewrite([23596(8)])].

24004 a(x * x,x \ (x \ y),C) = a(x,C / x,y). [back_rewrite(14004),rewrite([23605(6),20705(4),16574(2),20023(7)]),flip(a)].

24008 a(C,x / C,C * y) = a(C,x / C,y). [back_rewrite(9190),rewrite([23738(10),12270(7),23661(12)])].

24017 a(C,x * (C * C),C * (x \ y)) = a(C,x,(x * C) \ y). [back_rewrite(22820),rewrite([23680(11),354(12),21923(9),11(8,R)])].

24113 a(C * x,y,C) = a(C,x / C,y). [back_rewrite(22620),rewrite([23882(9),9209(8),23984(9),24008(7),17812(8),42(8)]),flip(a)].

24196 a(x,0 / C,C * y) = a(x,y,C). [back_rewrite(21542),rewrite([24113(10),21273(7),69(5),42(6),21923(6),23594(6)]),flip(a)].

24210 a((x / C) / y,y / C,C) = a(C,(x / y) / C,y). [back_rewrite(13899),rewrite([23984(7)]),flip(a)].

24224 a(x * (x / C),(C / (x * x)) * y,C) = a(x,C / x,y). [back_rewrite(20044),rewrite([24004(14)])].

24227 a(C,x / C,x * ((C / x) * y)) = a(C,C * x,y). [back_rewrite(23195),rewrite([24008(10)])].

24237 ((x * C) * y) \ (x * (C * y)) = a(C,x / C,y). [back_rewrite(12270),rewrite([24008(13)])].

24246 a(C,x,(x * C) \ (y / C)) = a(C,x,x \ y). [back_rewrite(22840),rewrite([24017(11)])].

24285 a(C,x,(C * x) \ y) = a(C * C,y,x). [back_rewrite(23975),rewrite([24113(5),12487(5)])].

24299 a(C,x * (C * C),y) = a(C,x / C,y). [back_rewrite(22952),rewrite([24113(10),6(5),12298(6)]),flip(a)].

24387 a(x / y,y / C,C) = a(y,C / y,x). [back_rewrite(23055),rewrite([24196(7),23204(3)]),flip(a)].

24395 a(C,x,(y / x) * (x / C)) = a(x,y,C). [back_rewrite(9109),rewrite([24196(12)])].

24448 a(C,x,(x * C) \ y) = a(C * C,y,x). [back_rewrite(12488),rewrite([24285(5)]),flip(a)].

24449 a(C,x / C,x \ y) = a(C * C,y,x). [back_rewrite(12487),rewrite([24285(10)])].

24450 a(C * C,(x / C) * y,x) = a(x,y,C). [back_rewrite(23985),rewrite([24299(10),24449(8)])].

24484 a(C,(x / y) / C,y) = a(y,C / y,x / C). [back_rewrite(24210),rewrite([24387(7)]),flip(a)].

24492 a(x,C / x,y) = a(y,C * (C * (x * y)),C). [back_rewrite(21461),rewrite([24387(5)])].

24551 a(C * C,x / C,y) = a(C,y,y \ x). [back_rewrite(24246),rewrite([24448(7)])].

24620 x \ (x / y) = 0 / y. [para(17848(a,1),5(a,1,2))].

24629 (x * y) / (z * x) = x * ((y / x) / z). [para(17848(a,1),421(a,2,2)),rewrite([23432(4),17848(5)])].

24634 (x / (y * z)) * y = (x / y) * (y / z). [para(17848(a,1),422(a,1,2)),rewrite([1033(3),17848(7)])].

24635 C * (C * (x \ (y / C))) = (C / x) * y. [para(17848(a,1),430(a,2,1)),rewrite([22698(5),1328(8),21966(6)])].

24638 (x * (y / z)) * z = (x / z) * (z * y). [para(17848(a,1),1033(a,2,1,2)),rewrite([20066(4),18(3),422(3),20066(5)]),flip(a)].

24642 0 / (x * ((C / x) * y)) = (C * x) \ (x / y). [para(17848(a,1),1831(a,1,2)),rewrite([22698(4),20066(6),1328(6),11(10,R),17848(10),22698

(10),24638(9),23220(9)]),flip(a)].

24646 (x * y) / (C * y) = y * ((y \ x) / C). [para(17848(a,1),2804(a,1)),rewrite([11(4,R),17848(4),20066(3),22375(4),20066(7),18(6),22698(9)

,17848(10)]),flip(a)].

24649 (x * y) / (C * C) = (x / C) * (y / C). [para(17848(a,1),3703(a,1,2)),rewrite([20066(5),20066(8),18(7)]),flip(a)].

24651 (x * (y / z)) \ ((x * y) / z) = a(x,y,0 / z). [para(17848(a,1),54(a,1,1,2)),rewrite([17848(6)])].

24661 (x / y) * ((y / z) * (z / x)) = a(y,0 / (z * x),z). [para(17848(a,1),8035(a,1,1)),rewrite([22698(4),17848(5),24634(4),1595(5),22698(8)

])].

24683 (C * x) \ (x / y) = x \ ((x / C) / y). [back_rewrite(23228),rewrite([24620(6),24642(6)])].

24693 a(C * C,x,0 / (x * y)) = a(C * C,x,0 / y). [back_rewrite(14819),rewrite([24620(5)]),flip(a)].

24696 a(C * (C * x),y,0 / C) = 0 / a(x,y,C). [back_rewrite(13652),rewrite([24620(10)]),flip(a)].

24707 x * ((y / x) * ((x * z) / y)) = ((x * y) * z) / y. [back_rewrite(1911),rewrite([24620(4),17848(5)]),flip(a)].

24708 ((x * y) * z) \ (x * (y * z)) = 0 / a(x,y,z). [back_rewrite(1880),rewrite([24620(7)]),flip(a)].

24726 (C * (x * y)) / y = y * ((C / y) * x). [back_rewrite(7435),rewrite([24629(8),20198(6),22373(7),23125(8)]),flip(a)].

24768 0 / ((x \ (C / y)) * (y * (x * y))) = y \ ((y / x) * (x / (y * C))). [back_rewrite(23269),rewrite([24634(13)])].

24861 (x * y) * ((z / x) * (x / u)) = x * ((y / x) * ((x * z) / u)). [back_rewrite(1076),rewrite([24634(4)])].

25049 a(x,0 / y,y * z) = a(x,z / y,y). [back_rewrite(8035),rewrite([24638(4),19375(5)])].

25064 ((x * y) / C) / y = (x / y) * (y / C). [back_rewrite(20770),rewrite([24646(8),1595(5),20384(7),23137(8),21143(8)])].

25093 a(C * C,C * x,y) = a(y,(y \ x) / C,C). [back_rewrite(23186),rewrite([24649(11),18976(4),1460(4),23112(8),1328(9),13710(7)]),flip(a)].

25148 a(x,0 / (y * C),y) = a(C,C * x,y). [back_rewrite(22796),rewrite([24661(7)])].

25160 0 / (x * ((C / x) * y)) = x \ ((x / C) / y). [back_rewrite(24642),rewrite([24683(10)])].

25172 a(C,x * x,x \ y) = 0 / a(x,y,C). [back_rewrite(13692),rewrite([24696(8)]),flip(a)].

25173 0 / a(x,x * y,C) = a(C,x * x,y). [back_rewrite(13654),rewrite([24696(9)])].

25174 (C * (x * y)) \ (x * (C * y)) = 0 / a(x,y,C). [back_rewrite(13555),rewrite([24696(15)])].

25181 a(C,x / C,y) = 0 / a(x,C,y). [back_rewrite(24237),rewrite([24708(7)]),flip(a)].

25227 a(x,y / C,C) = a(x,y,C). [back_rewrite(24196),rewrite([25049(6)])].

25250 a(C,(x / (C * C)) / y,y) = a(C,C * x,y). [back_rewrite(23637),rewrite([25064(6),24661(7),25148(5)]),flip(a)].

25328 a(C,x * (C * x),C * (x \ (x \ (y / C)))) = 0 / a(x,x \ y,C). [back_rewrite(22823),rewrite([25172(18),25227(17)])].

25330 0 / a(x,x \ y,C) = a(y,x,C / x). [back_rewrite(22351),rewrite([25172(5)])].

25346 a(x,C / x,y / C) = 0 / a(y / x,C,x). [back_rewrite(24484),rewrite([25181(5)]),flip(a)].

25351 0 / a(x,C,x \ y) = a(C * C,y,x). [back_rewrite(24449),rewrite([25181(5)])].

25400 0 / a(x,C,x * ((C / x) * y)) = a(C,C * x,y). [back_rewrite(24227),rewrite([25181(8)])].

25481 (C * ((x / C) * y)) \ (x * y) = 0 / a(x,C,y). [back_rewrite(8054),rewrite([25181(11)])].

25489 a(C * C,C * x,y) = a(y,y \ x,C). [back_rewrite(25093),rewrite([25227(11)])].

25504 a(x * (C * x),y,C) = a(x,C,x * y). [back_rewrite(22775),rewrite([25227(7)])].

25512 a(x * (x / C),y,C) = a(x,x * y,0 / C). [back_rewrite(21776),rewrite([25227(7)])].

25569 a(x * x,C,y / C) = a(x,x * y,C). [back_rewrite(13346),rewrite([25227(10)])].

25584 a(C,x * (C * x),C * (x \ (x \ (y / C)))) = a(y,x,C / x). [back_rewrite(25328),rewrite([25330(16)])].

25609 a(x,C,(x \ y) / C) = a(x,C / x,y). [back_rewrite(24224),rewrite([25512(9),2436(5),21672(7)])].

25621 a(C * x,C,((x * C) \ y) / C) = a(x,C / x,y). [back_rewrite(13349),rewrite([25609(14)])].

25623 0 / (x \ y) = y \ x. [para(19(a,1),24620(a,1,2)),flip(a)].

25627 x \ ((x / y) * ((y / z) * x)) = z \ x. [para(1005(a,1),24620(a,1,2)),rewrite([2827(5),25623(8)])].

25632 a(C * C,x / y,0 / y) = a(C * C,x,0 / y). [para(24620(a,1),14618(a,1,3)),rewrite([24620(12)])].

25642 0 / (x * ((y / x) * z)) = (z \ x) / (x * y). [back_rewrite(2853),rewrite([25627(5)]),flip(a)].

25649 x \ ((x / C) / y) = (y \ x) / (x * C). [back_rewrite(25160),rewrite([25642(6)]),flip(a)].

25707 (x \ y) * ((y \ x) * z) = z. [para(25623(a,1),421(a,2,2,1)),rewrite([3(3),4(4)]),flip(a)].

25708 (x \ y) \ z = (y \ x) * z. [para(25623(a,1),1328(a,1,1)),flip(a)].

25712 ((x / y) * z) \ x = x \ ((x / z) * y). [para(2827(a,1),25623(a,1,2)),rewrite([25623(5),2827(6)])].

25721 a(x * C,C,y / C) = 0 / a(C,x,y). [para(8046(a,1),25623(a,1,2)),rewrite([13340(11)]),flip(a)].

25726 a(x,C,y / C) = a(x,C,y). [para(8053(a,1),25623(a,2)),rewrite([25481(8),20066(6),18(5),2(4)]),flip(a)].

25732 x / (y \ z) = x * (z \ y). [para(25623(a,1),17848(a,1,2)),flip(a)].

25764 (x * y) \ (y * z) = y \ ((x \ y) * z). [back_rewrite(23557),rewrite([25708(5)])].

25765 (x \ y) * (y \ z) = y * ((x * y) \ z). [back_rewrite(23556),rewrite([25708(3)])].

25952 ((x * C) * y) \ (C * (x * y)) = a(x * C,C,y). [back_rewrite(13340),rewrite([25726(13)])].

25956 a(x * C,C,y) = 0 / a(C,x,y). [back_rewrite(25721),rewrite([25726(6)])].

25957 a(C * x,C,(x * C) \ y) = a(x,C / x,y). [back_rewrite(25621),rewrite([25726(9)])].

25958 a(x,C / x,y) = a(x,C,x \ y). [back_rewrite(25609),rewrite([25726(5)]),flip(a)].

25959 a(x * x,C,y) = a(x,x * y,C). [back_rewrite(25569),rewrite([25726(5)])].

25969 a(x,C,x * ((C / x) * y)) = a(C * (C * x),C,y). [back_rewrite(23189),rewrite([25726(8)]),flip(a)].

26004 a(C * x,C,y) = a(x,C,y). [back_rewrite(16501),rewrite([25726(6),25958(8),5(7)])].

26145 x * (((x \ y) * z) * y) = y * (z * y). [back_rewrite(7246),rewrite([25732(4),25708(3),25708(2)])].

26213 x \ (y * (z * ((y * z) \ x))) = a(z,y,y \ (z \ x)). [back_rewrite(22236),rewrite([25765(3)])].

26233 ((x * C) * y) \ (C * (x * y)) = 0 / a(C,x,y). [back_rewrite(25952),rewrite([25956(11)])].

26236 a(C * C,x,y) = 0 / a(C,x,y). [back_rewrite(21483),rewrite([25956(8)])].

26240 a(x,C,(x * C) \ y) = a(x,C,x \ y). [back_rewrite(25957),rewrite([26004(7),25958(8)])].

26253 a(x,C,x \ (y / C)) = 0 / a(y / x,C,x). [back_rewrite(25346),rewrite([25958(5)])].

26284 a(x,C * (C * (y * x)),C) = a(y,C,y \ x). [back_rewrite(24492),rewrite([25958(3)]),flip(a)].

26303 a(x / y,y,C) = a(y,C,y \ x). [back_rewrite(23204),rewrite([25958(6)])].

26321 a(C,C * x,y) = 0 / a(x,C,y). [back_rewrite(25400),rewrite([25969(7),26004(7),26004(5)]),flip(a)].

26329 a(x,C,x * ((C / x) * y)) = a(x,C,y). [back_rewrite(25969),rewrite([26004(12),26004(10)])].

26337 0 / a(C,x,y) = a(x,C,y). [back_rewrite(21566),rewrite([26236(4),26004(8)])].

26390 a(x / y,C,0 / y) = a(x,C,0 / y). [back_rewrite(25632),rewrite([26236(7),26337(7),26236(11),26337(11)])].

26395 a(x,x \ y,C) = a(y,C,x). [back_rewrite(25489),rewrite([26236(6),26321(5),20066(6),18(5),2(4)]),flip(a)].

26409 0 / a(x,C,x \ y) = a(y,C,x). [back_rewrite(25351),rewrite([26236(9),26337(9)])].

26420 a(x,C,0 / (x * y)) = a(x,C,0 / y). [back_rewrite(24693),rewrite([26236(7),26337(7),26236(11),26337(11)])].

26427 a(C,x,x \ y) = a(y,C,x). [back_rewrite(24551),rewrite([26236(6),25181(5),20066(6),18(5),2(4)]),flip(a)].

26433 a((x / C) * y,C,x) = a(x,y,C). [back_rewrite(24450),rewrite([26236(7),26337(7)])].

26480 a((x * C) * y,C,x) = a(C,x,y * C). [back_rewrite(23862),rewrite([26236(7),26337(7)])].

26567 a(x,C,0 / y) = 0 / a(x,C,y). [back_rewrite(18493),rewrite([26236(9),26321(8),26240(7),26409(6),26236(10),26337(10)]),flip(a)].

26571 a(x,C,y * C) = 0 / a(x,y,C). [back_rewrite(18480),rewrite([26236(9),26337(9),26567(7),26480(6),26337(6),26236(10),23596(9)])].

26614 x \ ((x / (y * (C * C))) * (C * (C * (y * C)))) = C * a(x,C,y). [back_rewrite(15067),rewrite([26236(18),26337(18)])].

26680 a(x,C,y / (x * C)) = 0 / a(x,y,C). [back_rewrite(14775),rewrite([26236(8),24395(7),26236(11),26337(11)]),flip(a)].

26681 a(x,C,y * x) = a(x,C,y). [back_rewrite(14774),rewrite([26236(7),26321(6),20066(7),18(6),2(5),26236(9),26321(8),20066(9),18(8),2(7)])].

26700 0 / a(x,y,C) = a(x,C,y). [back_rewrite(14734),rewrite([26236(9),26321(8),26680(7),20066(7),18(6),2(5),26236(10),26321(9),20066(10),18(

9),2(8)])].

26710 a(x,C,y / x) = a(x,C,y). [back_rewrite(14720),rewrite([26236(5),26337(5),26236(7),26337(7)])].

26757 a(C,(x / (C * C)) / y,y) = 0 / a(x,C,y). [back_rewrite(25250),rewrite([26321(11)])].

26769 0 / a(x,C,y) = a(x,y,C). [back_rewrite(23594),rewrite([26321(6),26571(5),26700(5)])].

26772 a(C,x,y * C) = a(x,y,C). [back_rewrite(23194),rewrite([26321(8),26329(7),26769(4)]),flip(a)].

26779 a(x,y,C / y) = a(x,y,C). [back_rewrite(22882),rewrite([26321(9),25959(8),4(6),25227(6),26395(4),26769(4)]),flip(a)].

26787 a(C,x,C * y) = a(x,y,C). [back_rewrite(22673),rewrite([26321(8),26681(7),25726(6),26710(4),26769(4)]),flip(a)].

26835 a(x,C,x \ y) = a(y,x,C). [back_rewrite(25584),rewrite([26787(11),25504(9),4(6),26253(5),26769(5),26303(3),26779(6)])].

26860 ((x * C) * y) \ (C * (x * y)) = a(x,C,y). [back_rewrite(26233),rewrite([26337(11)])].

26919 a(C,x,y) = a(x,y,C). [back_rewrite(23990),rewrite([26395(6),26433(5)]),flip(a)].

27171 a(x,x * y,C) = a(x,y,C). [back_rewrite(26420),rewrite([26567(5),26769(5),26567(7),26769(7)])].

27175 a(C,x / y,y) = a(x,y,C). [back_rewrite(26390),rewrite([26567(5),26769(5),26919(3,R),26567(7),26769(7)])].

27235 (C * (x * y)) \ (x * (C * y)) = a(x,C,y). [back_rewrite(25174),rewrite([26700(11)])].

27236 a(C,x * x,y) = a(x,C,y). [back_rewrite(25173),rewrite([27171(4),26700(4)]),flip(a)].

27237 a(x,C,y) = a(y,x,C). [back_rewrite(25172),rewrite([27236(4),26835(3),26700(6)]),flip(a)].

27311 a(x,0 / C,y) = a(x,y,C). [back_rewrite(26757),rewrite([27175(7),26919(6,R),8152(6),26769(8)])].

27333 a(x,C,0 / y) = a(x,y,C). [back_rewrite(26567),rewrite([26769(8)])].

27347 a(C,C * x,y) = a(x,y,C). [back_rewrite(26321),rewrite([26769(8)])].

27396 a(C,x,y / C) = a(x,y,C). [back_rewrite(21923),rewrite([26772(8)])].

27399 a(x,C * y,C) = a(x,y,C). [back_rewrite(21583),rewrite([26787(6),26772(8)])].

27457 a(x,y * x,C) = a(x,y,C). [back_rewrite(26284),rewrite([27399(7),27399(5),26835(6)])].

27705 a(A,c1,C) * (a(A,c1,C) * a(A,c1,C)) != 0. [back_rewrite(14),rewrite([26919(4),26919(8),26919(12)])].

27979 a(C,x / (C * C),y) = a(x,y,C). [back_rewrite(8152),rewrite([27311(10)])].

28365 a(C,x,y) = a(y,C,x). [para(27237(a,2),26919(a,2))].

28653 (x * (y / x)) \ z = (x / (x * y)) * z. [para(17812(a,1),1595(a,1,1))].

28670 x \ ((x / y) * (y * (x * z))) = (x / (x * y)) * ((x * y) * z). [back_rewrite(6301),rewrite([28653(5)]),flip(a)].

28674 (x \ (C / y)) * (y * (x * y)) = x * ((C / x) * y). [back_rewrite(23305),rewrite([28670(6),11(5,R),22694(6),24634(5),24861(6),24707(6),

11(3,R),24726(4)]),flip(a)].

28677 x \ ((x / y) * (y / (x * C))) = (x \ y) / (y * C). [back_rewrite(24768),rewrite([28674(7),25642(6)]),flip(a)].

28868 ((x / y) * z) \ u = (z \ (y / x)) * u. [para(20065(a,1),4199(a,1,1,2)),rewrite([1595(8),25764(9),1595(9),5(10)])].

28961 x \ ((x / y) * z) = (y \ (z / x)) * x. [back_rewrite(25712),rewrite([28868(3)]),flip(a)].

29162 (x \ ((x / (y * C)) / y)) * y = (y \ x) / (x * C). [back_rewrite(28677),rewrite([28961(6)])].

29190 ((C / x) / y) * (y * x) = C * a(y,C,x). [back_rewrite(26614),rewrite([28961(13),17667(11),21306(10),23882(12),1587(7),1328(9),25764(7)

,16574(4),28961(7),11(7,R),24635(8),24638(5)])].

29226 ((x * ((C / x) * y)) \ (z / x)) * x = (C * (x * y)) \ (x * z). [back_rewrite(23217),rewrite([28961(7)])].

29319 (x * y) \ (x * z) = (y \ (z / x)) * x. [back_rewrite(2827),rewrite([28961(6)])].

29337 (x * (y / z)) \ u = ((z / y) / x) * u. [para(20066(a,1),1595(a,1,1))].

29405 ((x / y) / z) * ((z * y) / x) = a(z,y,0 / x). [back_rewrite(24651),rewrite([29337(5)])].

30234 x / a(y,C,z) = x * a(C,y,z). [para(8046(a,1),25732(a,2,2)),rewrite([26860(7)])].

30235 x / a(y,z,C) = x * a(y,C,z). [para(8047(a,1),25732(a,1,2)),rewrite([27235(10)])].

30236 x * a(C,y,z) = x * a(y,z,C). [para(8047(a,1),25732(a,2,2)),rewrite([27235(7),30234(3)])].

31061 (x * a(C,y,z)) * a(y,C,z) = x. [para(30236(a,2),6(a,1,1)),rewrite([30235(6)])].

31116 x \ a(C,y,z) = x \ a(y,z,C). [para(30236(a,1),1328(a,1)),rewrite([1328(5)]),flip(a)].

31200 x * a(C,y,z) = x * a(z,C,y). [para(27237(a,2),30236(a,2,2))].

31212 (x * a(C,y,z)) * a(y,z,C) = x * (a(C,y,z) * a(C,y,z)). [para(30236(a,1),21374(a,1))].

31213 x * (a(C,y,z) * a(C,y,z)) = x * (a(y,z,C) * a(y,z,C)). [para(30236(a,2),21374(a,1,1)),rewrite([31212(6)])].

31531 (x * a(y,C,z)) * a(C,z,y) = x * (a(C,z,y) * a(C,z,y)). [para(31200(a,1),21374(a,1,1))].

31673 (x / C) * (y * C) = C * (x * (y / C)). [para(354(a,1),20151(a,1,1)),rewrite([1272(13)])].

32318 (x * C) * (y * ((x * C) * y)) = C * ((C * x) * (y * (x * y))). [para(66(a,1),21791(a,1,1)),rewrite([22110(7),22609(14)])].

32389 a(x,y,x * y) = 0. [para(21791(a,1),54(a,1,2)),rewrite([16(7)]),flip(a)].

32441 ((x * C) * y) * ((C * x) * y) = C * ((C * x) * (y * (x * y))). [back_rewrite(22110),rewrite([32318(14)])].

32940 (x / (C * (y * y))) * y = (x / y) / C. [para(82(a,2),24634(a,1,1,2)),rewrite([1550(9),17848(10)])].

33096 (x * y) / (x * C) = x * ((y / x) / C). [back_rewrite(1057),rewrite([32940(5)]),flip(a)].

33197 (x * (y * z)) / z = z * ((z \ x) * y). [para(1328(a,1),24638(a,2,2)),rewrite([20066(3),18(2),17848(5),20066(6),18(5),20705(6)])].

33754 (x \ y) / (y * C) = y / (C * (x * y)). [para(5(a,1),25649(a,2,1)),rewrite([19453(5),29319(6),29162(6),11(7,R)])].

33789 (x / (x * (C * (y * x)))) * (x * z) = x \ (((x / C) / y) * z). [para(25649(a,1),2755(a,1,1,1)),rewrite([33754(4),18976(5)])].

34263 x / (y * ((y \ z) * u)) = x * (y / (z * (u * y))). [para(33197(a,1),20066(a,1,2))].

34265 (x * y) * (z * x) = x * ((y * z) * x). [para(20135(a,1),33197(a,1,1)),rewrite([17821(5),6(3),20704(6),26145(8)])].

34268 (x * (y * (z * z))) / z = z * ((z \ x) * (y * z)). [para(21374(a,1),33197(a,1,1,2))].

34967 (x * ((y / x) * z)) \ u = ((z \ x) / (x * y)) * u. [para(25642(a,1),1328(a,1,1)),flip(a)].

35079 (C * (x * y)) \ (x * z) = x \ (((x / C) / y) * z). [back_rewrite(29226),rewrite([34967(6),33754(4),24638(7),18976(5),33789(7)]),flip(a

)].

35349 a(x,y,0 / C) = a(x,C,y). [para(4423(a,1),24708(a,1,2)),rewrite([11(7,R),1272(7),29337(7),29405(7),26919(11,R),27979(11),30235(8),2(8)]

)].

35474 C * ((x * (y / C)) / (x * y)) = a(x,y,C). [back_rewrite(23372),rewrite([35349(8),27333(6),27171(4),27457(3)]),flip(a)].

35786 ((x * y) * z) \ (x * u) = x \ (((x / z) / y) * u). [para(17848(a,1),2794(a,1,2,1,1)),rewrite([22698(8),1328(10)]),flip(a)].

36367 ((C * x) * y) / (C * z) = C * ((x * (y / C)) / z). [para(3359(a,1),3703(a,1,1)),rewrite([34268(7),69(3),31673(6),20322(7),21433(16),33

096(13),22540(12),354(13)])].

36960 a(x,y,y * x) = 0. [para(7247(a,1),54(a,1)),rewrite([34265(3),21(2),5(4),5(3),5(2),16(1)]),flip(a)].

38193 a(C,x,y) * a(C,x,y) = a(x,y,C) * a(x,y,C). [para(31213(a,1),2(a,1)),rewrite([2(7)]),flip(a)].

38682 ((C * x) * (y * (x * y))) \ (((x * C) * y) * z) = ((x * C) * y) \ (C * z). [para(8774(a,2),2828(a,1,1,2)),rewrite([32441(8),1460(9),13

28(12)])].

38992 a(x \ y,z,y \ x) = 0. [para(25732(a,1),18697(a,1,3)),rewrite([2(4)])].

39171 a(x,0 / y,x / y) = 0. [para(17848(a,1),32389(a,1,3))].

39213 a(x \ y,x,y) = 0. [para(4(a,1),36960(a,1,3))].

40682 a(a(x,C,y),z,a(C,x,y)) = 0. [para(8046(a,1),38992(a,1,3)),rewrite([26860(7)])].

40857 a(x,0 / (y * x),0 / y) = 0. [para(1429(a,1),39171(a,1,3))].

42171 ((x * C) * y) / (C * (x * y)) = a(x,y,C). [para(8046(a,1),19460(a,1,2,1)),rewrite([19458(10),36367(7),35474(7)]),flip(a)].

42216 (C * (x * y)) \ a(x,y,C) = a(C,x,y) / (C * (x * y)). [para(8046(a,1),19461(a,2,1)),rewrite([42171(10)])].

42249 a(C,x,y) \ (z * a(y,C,x)) = (a(C,x,y) \ z) * a(C,x,y). [para(31200(a,1),20694(a,1,2))].

42298 a(x * y,0 / y,z) = a(y,y \ x,z). [para(20702(a,1),8176(a,1,1)),rewrite([6(7)])].

42456 ((x * C) * y) \ (C * z) = (((C / y) / x) * z) / C. [para(104(a,1),2828(a,1,2)),rewrite([21791(8),22609(8),1460(9),1328(12),38682(10),3

5786(12),69(12)])].

42941 a(x,y,C) * (a(y,x,C) * z) = z. [para(8047(a,1),25707(a,1,1)),rewrite([35079(9),22694(8),1853(7),26213(9),69(5),26427(7),28365(6,R),273

96(6)])].

43021 a(C,x,y) \ z = a(x,C,y) * z. [para(8046(a,1),25708(a,1,1)),rewrite([42456(10),29190(8),17812(9),42(9)])].

43022 a(x,C,y) \ z = a(C,x,y) * z. [para(8046(a,1),25708(a,2,1)),rewrite([42456(7),29190(5),17812(6),42(6)])].

43023 a(x,y,C) \ z = a(y,x,C) * z. [para(8047(a,1),25708(a,1,1)),rewrite([35079(10),22694(9),1853(8),26213(10),69(6),26427(8),28365(7,R),273

96(7)])].

43074 (a(x,C,y) * z) * a(C,x,y) = a(x,C,y) * (z * a(y,C,x)). [back_rewrite(42249),rewrite([43021(6),43021(9)]),flip(a)].

50717 a(C,x,y) * a(x,C,y) = 0. [para(40682(a,1),54(a,2)),rewrite([43074(12),29319(13),30234(9),31531(9),29319(10),17820(8),5(9),7(4)])].

50729 a(x,y,C) * a(y,x,C) = 0. [para(8062(a,1),50717(a,1,2)),rewrite([27347(4),28365(6,R),26772(6)])].

50731 a(x,y,C) * a(x,C,y) = 0. [para(26919(a,1),50717(a,1,1))].

63380 a(C,x,y) / (C * (x * y)) = 0 / (x * (y * C)). [para(26919(a,2),1551(a,1,1)),rewrite([11(5,R)])].

63392 (C * (x * y)) \ a(x,y,C) = 0 / (x * (y * C)). [back_rewrite(42216),rewrite([63380(12)])].

68785 (a(x,C,y) * z) \ u = (z \ a(C,x,y)) * u. [para(31061(a,1),4199(a,1,1,2)),rewrite([43022(12),25764(13),43021(13),5(14)])].

68915 x / (a(y,z,C) * u) = x * (u \ a(C,z,y)). [para(31116(a,2),25732(a,2,2)),rewrite([43023(3)])].

68918 a(x \ a(y,z,C),x,a(C,y,z)) = 0. [para(31116(a,1),39213(a,1,1))].

72537 a(x,x \ a(y,z,C),a(z,C,y)) = 0. [para(42941(a,1),40857(a,1,2,2)),rewrite([30235(9),2(9),42298(8)])].

97578 a(x,y,C) * a(C,x,y) = a(x,C,y). [para(68918(a,1),68(a,1,2)),rewrite([63392(6),1328(9),9231(7),3(4),63392(8),1328(11),8049(9)]),flip(a)

].

97975 a(x,y,C) * a(y,C,x) = a(x,C,y). [para(50729(a,1),20675(a,1,2,2)),rewrite([43023(5),21(8),50729(7),3(4),3(6),30235(5),68915(12),43023(1

1),97578(11),2(9)])].

98132 a(C,x,y) * a(C,x,y) = a(C,y,x). [para(72537(a,1),1551(a,1,1)),rewrite([4(5),97975(6),30234(4),2(4),34263(11),68915(10),68785(9),20829(

10),2(9)]),flip(a)].

98134 a(x,y,C) * a(x,y,C) = a(C,y,x). [back_rewrite(38193),rewrite([98132(5)]),flip(a)].

98136 $F. [back_rewrite(27705),rewrite([98134(13),28365(8),50731(9)]),xx(a)].

============================== end of proof ==========================