% Proof 1 at 106.66 (+ 0.39)
seconds.
% Length of proof is 221.
% Level of proof is 31.
% Maximum clause weight is
35.000.
% Given clauses 3137.
5 a(x * (x * x),C,B) = 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 * B) * x) = (x *
y) * (B * x). [assumption].
15 (x * y) * (B * x) = x *
((y * B) * 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(c5 * (c5 * c5),C,B) !=
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))].
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)].
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) * B) * x) =
y * (B * x).
[para(9(a,1),15(a,1,1)),flip(a)].
42 (x * ((y * B) * x)) / (B
* x) = x * y.
[para(15(a,1),11(a,1,1))].
43 (x / y) * ((y * B) * (x /
y)) = x * (B * (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))].
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))].
59 (C * x) * (B * x) = x *
((B * C) * x).
[para(16(a,2),15(a,1,1)),rewrite([16(8)])].
64 (x * (y * z)) \ ((x * y)
* z) = a(x,y,z).
[para(18(a,1),10(a,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)])].
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))].
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)])].
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)])].
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))].
138 x * ((x * x) \ y) = x \
y. [para(82(a,1),10(a,1,2)),flip(a)].
153 (x * y) / (x \ y) = x *
x. [para(9(a,1),84(a,1,1,2))].
158 (C * (x * C)) / x = C *
C. [para(16(a,1),84(a,1,1,2))].
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)])].
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)])].
302 (B * (x * ((y * B) *
x))) / x = B * ((x * y) * B).
[para(15(a,1),35(a,1,1,2))].
306 C * (x * C) = x * (C *
C). [para(35(a,1),51(a,1))].
339 (x * x) \ y = x \ (x \
y).
[para(138(a,1),10(a,1,2)),flip(a)].
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))].
351 (x / y) * ((z / (x / y))
* x) = ((x / y) * z) * y.
[para(12(a,1),36(a,1,2,2))].
365 (C * x) * (y / C) = C *
((x / C) * y).
[para(52(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))].
405 (0 / x) * (0 / x) = (0 /
x) / x. [para(30(a,1),386(a,1,2)),flip(a)].
421 C * (x * (y * (z * (y *
x)))) = x * (y * (z * (y * (x * C)))).
[para(37(a,1),16(a,2))].
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))].
620 C * (x * (C * x)) = x *
(x * (C * C)).
[para(306(a,1),13(a,2,2)),rewrite([16(5,R)])].
649 (x * (C * C)) / x = C *
C.
[para(306(a,1),153(a,1,1)),rewrite([79(8),11(8)])].
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)) / (B * x)
= x * (y / B).
[para(12(a,1),42(a,1,1,2,1))].
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))].
874 (x * (x * (C * C))) * y
= x * (C * (C * (x * y))).
[para(649(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].
880 (x / (y * C)) * (C * y)
= x. [para(728(a,2),12(a,1))].
969 (x / C) / C = x / (C *
C).
[para(743(a,1),10(a,1,2)),rewrite([79(4)])].
974 (x / (C * C)) \ (x / C)
= C. [para(743(a,1),49(a,1,2))].
987 (0 / C) \ C = C *
C. [para(8(a,1),747(a,1,2))].
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))].
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)])].
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))].
2604 (0 / C) \ (0 / (C * C))
= 0 / C.
[para(969(a,1),1820(a,1,2))].
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)].
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)])].
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))].
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 / B) = C /
B.
[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)].
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))].
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)].
12890 B * (0 / x) = B /
x.
[para(12498(a,1),43(a,1)),rewrite([12633(5),10(4),7(8)]),flip(a)].
12979 x * ((x * y) \ x) = x
/ y.
[para(12498(a,1),298(a,1,2)),rewrite([8(5)])].
12990 B \ C = C / B.
[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 / B) / C = 0 /
B.
[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)].
13414 C * (x * (x / C)) = x
* x.
[para(12513(a,1),84(a,1,1,2)),rewrite([12555(7)])].
13481 x \ (0 / C) = (0 / x)
/ C.
[para(12513(a,1),12498(a,1)),flip(a)].
13608 x / (x * C) = 0 /
C. [para(16(a,1),12862(a,1,2))].
13786 C * (((0 / x) / C) *
y) = (x \ C) * (y / C).
[para(12873(a,1),348(a,1,1)),rewrite([79(4)]),flip(a)].
13796 (B / x) / (0 / x) =
B. [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)].
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 *
B)) = B.
[para(12862(a,1),13796(a,1,1))].
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)].
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)])].
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)])].
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)])].
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)].
18670 (B \ (x * (C / B))) /
C = (B \ x) / B. [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)].
19951 B * ((x \ (x / B)) *
B) = B.
[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 / B)) * B =
0.
[para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].
20575 B * ((x \ (x / B)) *
(B * y)) = B * y.
[para(19951(a,1),13(a,1,1)),flip(a)].
20578 (x \ (x / B)) * (B *
(x \ (x / B))) = 0 / B.
[para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].
20585 (x \ (x / B)) * (B *
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 * (B * (y \ (y / B)))
= x.
[para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].
20606 x \ (x / B) = 0 /
B.
[back_rewrite(20578),rewrite([20598(9)])].
20659 x * (0 / B) = x /
B. [para(20606(a,1),9(a,1,2))].
20662 (B \ (x / B)) * y =
((B \ x) / B) * 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 B \ (x * (y * (x * (B
\ z)))) = ((B \ (x * (y * x))) / B) * z.
[para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606
(14),12498(15),20662(14)])].
20676 B \ (x * (C / B)) = C
* (B \ (x / B)).
[para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].
20720 B \ (x / B) = (B \ x)
/ B.
[back_rewrite(18670),rewrite([20676(6),51(8)])].
20744 (x * (y * x)) / B = x
* (y * (x / B)).
[para(20659(a,1),13(a,1)),rewrite([20659(8)])].
20832 B \ (x * (y * (x /
B))) = (B \ (x * (y * x))) / B.
[para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14
)]),flip(a)].
21328 B * ((B \ x) / B) = x
/ B. [para(20720(a,1),9(a,1,2))].
21351 (B * x) * B = B * (x *
B).
[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)].
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)].
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 (B \ (x * ((x \ (B *
y)) * x))) / B = y * (x / B).
[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)])].
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)])].
28746 x * ((x \ y) * x) = y
/ (0 / x).
[para(9(a,1),12632(a,1,1)),flip(a)].
28775 (x / C) / (0 / x) = x
* (x / C). [para(12513(a,1),12632(a,1,1)),rewrite([12498(9),79(7)])].
28815 x / (B / y) = x * (y /
B).
[back_rewrite(22690),rewrite([28746(6),11593(7),12890(4),11(7)])].
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)])].
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)].
29741 (0 / x) / C = 0 / (x *
C).
[back_rewrite(18511),rewrite([29171(4),13414(5),339(4),13406(3),13481(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)])].
31279 a(x,0 / y,y) = 0.
[para(29(a,1),29520(a,1,3)),rewrite([12620(2)])].
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)].
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)].
31714 C * (x \ (C * (C * ((y
/ C) * x)))) = (C * (x \ (C * y))) * x.
[back_rewrite(30581),rewrite([31520(7),365(7)])].
31881 (x * y) / ((z / (x *
u)) * x) = x * ((y * (u / (x * z))) * x).
[back_rewrite(11787),rewrite([31520(8)])].
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)])].
32085 (C * (C / x)) * y = C
* (x \ (C * y)).
[para(29065(a,1),55(a,1,1,2)),rewrite([12498(11)])].
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)])].
32276 (x * (x / y)) * ((y /
x) / x) = a(y,0 / x,0 / x).
[back_rewrite(29500),rewrite([32076(2)])].
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)])].
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)].
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)])].
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))].
42337 (x * (C * (C * (x *
y)))) / C = x * (x * (C * y)).
[para(620(a,1),349(a,1,2,1)),rewrite([874(7),79(8),32073(13),52(12),31(12)])].
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)])].
44790 (C * x) * (x * y) = x
* (x * (C * y)).
[back_rewrite(42337),rewrite([44781(8),36(8)])].
70571 a(x * (x * x),C,y) =
0. [para(89(a,2),1983(a,1,2,1,2)),rewrite([36747(10),44790(9),26(11)]),flip(a)].
70572 $F. [resolve(70571,a,23,a)].
==============================
end of proof ==========================
% Proof 2 at 108.57 (+ 0.41) seconds.
% Length of proof is 334.
% Level of proof is 38.
% Maximum clause weight is 39.000.
% Given clauses 3197.
1 a(C,x * (x * x),B) = 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 * B) * x) = (x * y) * (B * x). [assumption].
15 (x * y) * (B * x) = x * ((y * B) * 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)].
19 a(C,c1 * (c1 * c1),B) != 0. [deny(1)].
26 x \ x = 0.
[para(8(a,1),10(a,1,2))].
27 x / x = 0.
[para(7(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)].
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) * B) * x) = y * (B * x). [para(9(a,1),15(a,1,1)),flip(a)].
42 (x * ((y * B) * x)) / (B * x) = x * y. [para(15(a,1),11(a,1,1))].
43 (x / y) * ((y * B) * (x / y)) = x * (B * (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))].
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) * (B * x) = x * ((B * C) * x).
[para(16(a,2),15(a,1,1)),rewrite([16(8)])].
64 (x * (y * z)) \ ((x * y) * z) = a(x,y,z). [para(18(a,1),10(a,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)])].
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))].
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)])].
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) * B)) = x * (B * C). [para(52(a,1),15(a,1,1)),rewrite([16(11,R)]),flip(a)].
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))].
108 (C * (x * (y * x))) * z = (x * (y * (x * C))) *
z. [para(13(a,1),76(a,2,1))].
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)].
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 * B) * x))) / (B * 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))].
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)])].
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 * B) * x)))) / (B * x) = (x
* y) * (z * (x * y)).
[para(15(a,1),35(a,1,1,2,2))].
302 (B * (x * ((y * B) * x))) / x = B * ((x * y) *
B). [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)].
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))].
351 (x / y) * ((z / (x / y)) * x) = ((x / y) * z) *
y. [para(12(a,1),36(a,1,2,2))].
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)].
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))].
405 (0 / x) * (0 / x) = (0 / x) / x. [para(30(a,1),386(a,1,2)),flip(a)].
421 C * (x * (y * (z * (y * x)))) = x * (y * (z * (y * (x
* C)))). [para(37(a,1),16(a,2))].
422 (x * (C * (y * (x * C)))) * z = x * (C * (y * (C * (x
* z)))).
[para(16(a,1),37(a,1,1,2,2,2))].
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)])].
454 (C * (x * (C * (x * x)))) * y = C * (x * (x * (x * (C
* y)))).
[para(89(a,2),37(a,1,1,2,2))].
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))].
620 C * (x * (C * x)) = x * (x * (C * C)).
[para(306(a,1),13(a,2,2)),rewrite([16(5,R)])].
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)])].
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)) / (B * x) = x * (y / B). [para(12(a,1),42(a,1,1,2,1))].
725 (C * (C * (x * B))) / (B * 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))].
874 (x * (x * (C * C))) * y = x * (C * (C * (x *
y))).
[para(649(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].
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))].
969 (x / C) / C = x / (C * C). [para(743(a,1),10(a,1,2)),rewrite([79(4)])].
974 (x / (C * C)) \ (x / C) = C. [para(743(a,1),49(a,1,2))].
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))].
1268 (x * (C * (x * C))) \ (C * (x * (x * C))) = 0. [para(53(a,1),292(a,1,1))].
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)])].
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)])].
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))].
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)])].
2000 (C * ((x / C) * y)) \ (x * y) = a(C,x / C,y). [para(52(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))].
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))].
2175 (x / C) * (x * C) = C * ((x / C) * x).
[para(2103(a,1),18(a,1,2)),rewrite([8(7),16(10,R)])].
2604 (0 / C) \ (0 / (C * C)) = 0 / C. [para(969(a,1),1820(a,1,2))].
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)])].
5839 (C * (x * (x * x))) * y = (x * (C * (x * x))) *
y. [para(89(a,2),108(a,2,1,2))].
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 * B))) = C * (C * (((C * x) *
x) * B)).
[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)])].
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)].
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))].
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 / B) = C / B.
[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)].
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))].
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 B * (0 / x) = B / x. [para(12498(a,1),43(a,1)),rewrite([12633(5),10(4),7(8)]),flip(a)].
12979 x * ((x * y) \ x) = x / y.
[para(12498(a,1),298(a,1,2)),rewrite([8(5)])].
12990 B \ C = C / B. [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 / B) / C = 0 / B. [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)].
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)])].
13481 x \ (0 / C) = (0 / x) / C. [para(12513(a,1),12498(a,1)),flip(a)].
13608 x / (x * C) = 0 / C. [para(16(a,1),12862(a,1,2))].
13786 C * (((0 / x) / C) * y) = (x \ C) * (y / C).
[para(12873(a,1),348(a,1,1)),rewrite([79(4)]),flip(a)].
13796 (B / x) / (0 / x) = B. [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)].
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 * B)) = B. [para(12862(a,1),13796(a,1,1))].
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)].
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)])].
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)])].
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)])].
18670 (B \ (x * (C / B))) / C = (B \ x) / B.
[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)].
19606 ((C * x) * (y * (C * (C * (x * B))))) / (B * 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)].
19951 B * ((x \ (x / B)) * B) = B.
[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 / B)) * B = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].
20575 B * ((x \ (x / B)) * (B * y)) = B * y. [para(19951(a,1),13(a,1,1)),flip(a)].
20578 (x \ (x / B)) * (B * (x \ (x / B))) = 0 / B.
[para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].
20585 (x \ (x / B)) * (B * 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 * (B * (y \ (y / B))) = x.
[para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].
20606 x \ (x / B) = 0 / B. [back_rewrite(20578),rewrite([20598(9)])].
20659 x * (0 / B) = x / B. [para(20606(a,1),9(a,1,2))].
20662 (B \ (x / B)) * y = ((B \ x) / B) * 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 B \ (x * (y * (x * (B \ z)))) = ((B \ (x * (y *
x))) / B) * z.
[para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606
(14),12498(15),20662(14)])].
20676 B \ (x * (C / B)) = C * (B \ (x / B)).
[para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].
20720 B \ (x / B) = (B \ x) / B.
[back_rewrite(18670),rewrite([20676(6),51(8)])].
20744 (x * (y * x)) / B = x * (y * (x / B)).
[para(20659(a,1),13(a,1)),rewrite([20659(8)])].
20832 B \ (x * (y * (x / B))) = (B \ (x * (y * x))) /
B.
[para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14
)]),flip(a)].
21328 B * ((B \ x) / B) = x / B. [para(20720(a,1),9(a,1,2))].
21351 (B * x) * B = B * (x * B).
[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)].
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 (B \ (x * ((x \ (B * y)) * x))) / B = y * (x /
B).
[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))].
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)])].
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))].
28775 (x / C) / (0 / x) = x * (x / C).
[para(12513(a,1),12632(a,1,1)),rewrite([12498(9),79(7)])].
28815 x / (B / y) = x * (y / B).
[back_rewrite(22690),rewrite([28746(6),11593(7),12890(4),11(7)])].
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)])].
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)])].
29403 x \ (y / x) = (x \ y) / x. [back_rewrite(18573),rewrite([29065(3)])].
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)])].
29741 (0 / x) / C = 0 / (x * C).
[back_rewrite(18511),rewrite([29171(4),13414(5),339(4),13406(3),13481(4)])].
29809 (x / C) * (x * C) = x * x.
[back_rewrite(2175),rewrite([29171(9),13414(10)])].
30017 (C * x) * ((C * x) * y) = C * (x * (x * (C *
y))).
[back_rewrite(8619),rewrite([29186(4),498(6)]),flip(a)].
30413 x * (C * (C / x)) = C * C.
[back_rewrite(12888),rewrite([29496(3)])].
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)])].
30809 (x * y) * (x * C) = x * ((C * y) * x).
[back_rewrite(19227),rewrite([29741(5),29063(6)])].
31115 (C * (x * y)) \ (x * ((C * (y / x)) * x)) = a(x,y /
x,x * C).
[back_rewrite(23565),rewrite([30809(8)])].
31279 a(x,0 / y,y) = 0. [para(29(a,1),29520(a,1,3)),rewrite([12620(2)])].
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)])].
31714 C * (x \ (C * (C * ((y / C) * x)))) = (C * (x \ (C
* y))) * x.
[back_rewrite(30581),rewrite([31520(7),365(7)])].
31863 ((x * C) * (y * (C * C))) * (x / C) = C * ((C * x)
* (y * x)).
[back_rewrite(19032),rewrite([31520(10)])].
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)])].
32085 (C * (C / x)) * y = C * (x \ (C * y)).
[para(29065(a,1),55(a,1,1,2)),rewrite([12498(11)])].
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)])].
32276 (x * (x / y)) * ((y / x) / x) = a(y,0 / x,0 /
x).
[back_rewrite(29500),rewrite([32076(2)])].
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)])].
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)].
33132 (x \ y) * (y \ x) = 0. [para(33011(a,1),12(a,1,1))].
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)].
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)])].
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)].
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)].
35620 (x * (C * (x * x))) * y = x * ((C * x) * (x *
y)).
[para(29809(a,1),422(a,1,1,2,2)),rewrite([36(13)])].
35686 (C * (x * (x * x))) * y = x * ((C * x) * (x *
y)).
[back_rewrite(5839),rewrite([35620(10)])].
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)])].
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)].
38300 (x / y) * (x * x) = x * ((y \ x) * x).
[para(35212(a,1),31641(a,1,1)),rewrite([29248(3)]),flip(a)].
42337 (x * (C * (C * (x * y)))) / C = x * (x * (C *
y)).
[para(620(a,1),349(a,1,2,1)),rewrite([874(7),79(8),32073(13),52(12),31(12)])].
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)])].
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
)])].
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)])].
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)])].
44790 (C * x) * (x * y) = x * (x * (C * y)).
[back_rewrite(42337),rewrite([44781(8),36(8)])].
44856 (C * (x * (x * x))) * y = x * (x * (x * (C *
y))). [back_rewrite(35686),rewrite([44790(9)])].
49557 a(C,x,y * x) = a(x,y,x * C). [para(11(a,1),31994(a,1,2)),flip(a)].
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)].
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)])].
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)])].
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)])].
71570 a(C,x * (x * x),y) = 0. [para(454(a,1),2000(a,1,2)),rewrite([29524(9),44781(8),38300(7),79(5),35212(6),79(5),13419(8),44856(6),26(15),
29524(10),44781(9),38300(8),79(6),35212(7),79(6),13419(9),68025(7)]),flip(a)].
71571 $F.
[resolve(71570,a,19,a)].
============================== end of proof
==========================
% Proof 3 at 109.34 (+ 0.41) seconds.
% Length of proof is 581.
% Level of proof is 50.
% Maximum clause weight is 39.000.
% Given clauses 3207.
6 a(x * (x * x),B,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 * B) * x) = (x * y) * (B * x). [assumption].
15 (x * y) * (B * x) = x * ((y * B) * 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(c6 * (c6 * c6),B,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) * B) * x) = y * (B * x). [para(9(a,1),15(a,1,1)),flip(a)].
42 (x * ((y * B) * x)) / (B * x) = x * y. [para(15(a,1),11(a,1,1))].
43 (x / y) * ((y * B) * (x / y)) = x * (B * (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) * (B * x) = x * ((B * 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)])].
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) * B)) = x * (B * 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))].
108 (C * (x * (y * x))) * z = (x * (y * (x * C))) *
z. [para(13(a,1),76(a,2,1))].
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 * B) * x))) / (B * 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 * B) * x)))) / (B * x) = (x
* y) * (z * (x * y)).
[para(15(a,1),35(a,1,1,2,2))].
302 (B * (x * ((y * B) * x))) / x = B * ((x * y) *
B). [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)].
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))].
422 (x * (C * (y * (x * C)))) * z = x * (C * (y * (C * (x
* z)))).
[para(16(a,1),37(a,1,1,2,2,2))].
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)])].
454 (C * (x * (C * (x * x)))) * y = C * (x * (x * (x * (C
* y)))).
[para(89(a,2),37(a,1,1,2,2))].
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)) / (B * x) = x * (y / B). [para(12(a,1),42(a,1,1,2,1))].
725 (C * (C * (x * B))) / (B * 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))].
874 (x * (x * (C * C))) * y = x * (C * (C * (x *
y))).
[para(649(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].
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))].
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)].
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))].
2175 (x / C) * (x * C) = C * ((x / C) * x).
[para(2103(a,1),18(a,1,2)),rewrite([8(7),16(10,R)])].
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)])].
5839 (C * (x * (x * x))) * y = (x * (C * (x * x))) *
y. [para(89(a,2),108(a,2,1,2))].
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 * B))) = C * (C * (((C * x) *
x) * B)).
[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)].
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 / B) = C / B.
[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))].
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 B * (0 / x) = B / 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 B \ C = C / B. [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 / B) / C = 0 / B. [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)])].
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))].
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 (B / x) / (0 / x) = B. [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 * B)) = B. [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 (B \ (x * (C / B))) / C = (B \ x) / B.
[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 * B))))) / (B * 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 B * ((x \ (x / B)) * B) = B.
[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 / B)) * B = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].
20575 B * ((x \ (x / B)) * (B * y)) = B * y. [para(19951(a,1),13(a,1,1)),flip(a)].
20578 (x \ (x / B)) * (B * (x \ (x / B))) = 0 / B.
[para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].
20585 (x \ (x / B)) * (B * 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 * (B * (y \ (y / B))) = x. [para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].
20606 x \ (x / B) = 0 / B. [back_rewrite(20578),rewrite([20598(9)])].
20659 x * (0 / B) = x / B. [para(20606(a,1),9(a,1,2))].
20662 (B \ (x / B)) * y = ((B \ x) / B) * 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 B \ (x * (y * (x * (B \ z)))) = ((B \ (x * (y *
x))) / B) * z.
[para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606
(14),12498(15),20662(14)])].
20676 B \ (x * (C / B)) = C * (B \ (x / B)).
[para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].
20720 B \ (x / B) = (B \ x) / B.
[back_rewrite(18670),rewrite([20676(6),51(8)])].
20744 (x * (y * x)) / B = x * (y * (x / B)).
[para(20659(a,1),13(a,1)),rewrite([20659(8)])].
20832 B \ (x * (y * (x / B))) = (B \ (x * (y * x))) /
B.
[para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14
)]),flip(a)].
21328 B * ((B \ x) / B) = x / B. [para(20720(a,1),9(a,1,2))].
21351 (B * x) * B = B * (x * B).
[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 (B \ (x * ((x \ (B * y)) * x))) / B = y * (x /
B).
[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 / (B / y) = x * (y / B).
[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)])].
29809 (x / C) * (x * C) = x * x. [back_rewrite(2175),rewrite([29171(9),13414(10)])].
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)].
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)])].
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)])].
35620 (x * (C * (x * x))) * y = x * ((C * x) * (x *
y)).
[para(29809(a,1),422(a,1,1,2,2)),rewrite([36(13)])].
35686 (C * (x * (x * x))) * y = x * ((C * x) * (x *
y)).
[back_rewrite(5839),rewrite([35620(10)])].
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)])].
38300 (x / y) * (x * x) = x * ((y \ x) * x).
[para(35212(a,1),31641(a,1,1)),rewrite([29248(3)]),flip(a)].
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)])].
42337 (x * (C * (C * (x * y)))) / C = x * (x * (C *
y)). [para(620(a,1),349(a,1,2,1)),rewrite([874(7),79(8),32073(13),52(12),31(12)])].
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)])].
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)])].
44790 (C * x) * (x * y) = x * (x * (C * y)).
[back_rewrite(42337),rewrite([44781(8),36(8)])].
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)])].
44856 (C * (x * (x * x))) * y = x * (x * (x * (C *
y))).
[back_rewrite(35686),rewrite([44790(9)])].
45923 (C / x) * (x * (x / (C * C))) = x / C. [para(38632(a,1),18(a,1,2)),rewrite([8(10),12(11),743(14)])].
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)].
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)].
70583 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)])].
70865 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)].
70925 ((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)])].
70992 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)].
71026 a(C,x / C,y / C) = 0 / a(x,y,0 / C).
[back_rewrite(54294),rewrite([70992(7)]),flip(a)].
71242 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)].
71251 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)].
71263 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)].
71449 x / a(y,C,z / C) = x * a(C,y / C,z).
[para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].
71458 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)].
71562 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)])].
71569 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)].
71570 a(C,x * (x * x),y) = 0. [para(454(a,1),2000(a,1,2)),rewrite([29524(9),44781(8),38300(7),79(5),35212(6),79(5),13419(8),44856(6),26(15),
29524(10),44781(9),38300(8),79(6),35212(7),79(6),13419(9),68025(7)]),flip(a)].
71577 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),70925(7),708
65(12)]),flip(a)].
71587 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),71562(7),52(11),71577(10)]),flip(a)].
71734 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)].
71743 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)])].
71881 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)].
71882 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)].
71888 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),71881(18),71882(12)])].
71953 a(C,C * x,y) = a(x,y / C,C).
[back_rewrite(71743),rewrite([71888(6)])].
71954 a(C * x,y,C) = a(C,x / C,y).
[back_rewrite(71577),rewrite([71888(6)]),flip(a)].
71969 a(C,x,y * C) = a(C,x,y). [back_rewrite(70865),rewrite([71888(6),71888(8)])].
72056 a(C,x / C,y * x) = a(x / C,y,x).
[back_rewrite(71587),rewrite([71954(5)])].
72087 a(C * C,x,y) = 0 / a(C,x,y).
[back_rewrite(51476),rewrite([71969(5)]),flip(a)].
72089 a(C,x / C,y) = a(x,y,C). [back_rewrite(71569),rewrite([72056(8),49558(6)])].
72104 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71263),rewrite([72087(8),71734(7)])].
72106 a(x,C,y / C) = a(x,C,y). [back_rewrite(71251),rewrite([72087(6),72104(6),72104(8)])].
72107 a(C * x,C,y) = a(x,C,y * x).
[back_rewrite(71242),rewrite([72087(5),72104(5)]),flip(a)].
72111 a(C * x,C,y) = a(x,C,y). [back_rewrite(70583),rewrite([72087(4),72104(4)]),flip(a)].
72194 x / a(y,C,z) = x * a(y,z,C).
[back_rewrite(71449),rewrite([72106(4),72089(7)])].
72203 0 / a(x,y,0 / C) = a(x,y / C,C).
[back_rewrite(71026),rewrite([72089(6)]),flip(a)].
72268 a(x,y / (C * C),C * C) = a(x,C,y).
[back_rewrite(51381),rewrite([72106(12)])].
72309 a(x,C,y * x) = a(x,C,y). [back_rewrite(72107),rewrite([72111(4)]),flip(a)].
72315 a(x,C,C * y) = a(x,C,y). [back_rewrite(71458),rewrite([72309(5),72111(8)])].
72411 a(x * C,y / C,C) = a(x,y,C).
[back_rewrite(70356),rewrite([72194(10),7(10)])].
72538 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72315(4)]),flip(a)].
72592 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72268),rewrite([72538(8),70992(6)])].
72617 a(x,y / C,C) = a(x,y,C).
[back_rewrite(72203),rewrite([72592(5),72194(4),7(4)]),flip(a)].
72663 a(x * C,y,C) = a(x,y,C). [back_rewrite(72411),rewrite([72617(6)])].
72665 a(C,C * x,y) = a(x,y,C). [back_rewrite(71953),rewrite([72617(8)])].
72704 a(C,x,y) = a(x,y,C). [back_rewrite(71734),rewrite([72665(6),72663(4)]),flip(a)].
72943 $F.
[back_rewrite(24),rewrite([72704(8,R),71570(8)]),xx(a)].
============================== end of proof
==========================
% Proof 4 at 110.55 (+ 0.42) seconds.
% Length of proof is 748.
% Level of proof is 60.
% Maximum clause weight is 40.000.
% Given clauses 3247.
3 a(B,C,x * (x * 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 * B) * x) = (x * y) * (B * x). [assumption].
15 (x * y) * (B * x) = x * ((y * B) * 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(B,C,c3 * (c3 * c3)) != 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) * B) * x) = y * (B * x). [para(9(a,1),15(a,1,1)),flip(a)].
42 (x * ((y * B) * x)) / (B * x) = x * y. [para(15(a,1),11(a,1,1))].
43 (x / y) * ((y * B) * (x / y)) = x * (B * (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) * (B * x) = x * ((B * 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))].
65 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(18(a,1),11(a,1,1))].
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)])].
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) * B)) = x * (B * 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))].
100 (C * x) * ((x * C) \ y) = y. [para(76(a,2),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))].
112 (x * ((y * C) * z)) * a(x,C * y,z) = (x * (C * y)) *
z. [para(76(a,1),18(a,1,1,2))].
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 * B) * x))) / (B * 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 * B) * x)))) / (B * x) = (x
* y) * (z * (x * y)).
[para(15(a,1),35(a,1,1,2,2))].
302 (B * (x * ((y * B) * x))) / x = B * ((x * y) *
B). [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)].
380 ((C * x) * y) * ((x * C) \ z) = (C * x) * ((y / (C *
x)) * z).
[para(100(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)].
411 x * ((y / x) * (z * ((y / x) * (x * u)))) = (x * ((y
/ x) * (z * y))) * u. [para(12(a,1),37(a,1,1,2,2,2)),flip(a)].
413 (x * (y * (z * (u * (z * (y * x)))))) * w = x * (y *
(z * (u * (z * (y * (x * w)))))).
[para(37(a,1),13(a,1,1,2)),rewrite([37(13)])].
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)])].
454 (C * (x * (C * (x * x)))) * y = C * (x * (x * (x * (C
* y)))).
[para(89(a,2),37(a,1,1,2,2))].
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)].
481 (x * (y * (z * (u * (z * (y * (x * w))))))) / w = x *
(y * (z * (u * (z * (y * x))))).
[para(37(a,1),35(a,1,1,2)),rewrite([37(13)])].
488 x * ((y / x) * ((x * y) * z)) = ((x * y) * y) *
z.
[para(36(a,1),37(a,1,1)),rewrite([12(3),36(8)]),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)) / (B * x) = x * (y / B). [para(12(a,1),42(a,1,1,2,1))].
725 (C * (C * (x * B))) / (B * 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))].
874 (x * (x * (C * C))) * y = x * (C * (C * (x *
y))).
[para(649(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].
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)])].
1887 (x * C) \ (y * ((C / y) * x)) = a(C,y,y \ x).
[para(63(a,1),102(a,1,2)),rewrite([1869(6)])].
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)])].
1926 (C * (x * (C * y))) * ((x * (y * C)) \ z) = (x * (y
* C)) * ((C / (x * (y * C))) * z).
[para(54(a,2),63(a,2,1)),rewrite([63(12),1869(10
)]),flip(a)].
1977 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(9(a,1),64(a,1,2,1))].
1978 (x * (y * ((x * y) \ z))) \ z = a(x,y,(x * y) \
z). [para(9(a,1),64(a,1,2))].
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))].
2023 (C * (x * ((x * C) \ y))) \ y = a(C,x,(x * C) \
y). [para(100(a,1),64(a,1,2))].
2029 (x * (y * (z * (y * (x * (u * w)))))) \ ((x * (y *
(z * (y * (x * u))))) * w) = a(x * (y * (z * (y * x))),u,w). [para(37(a,1),64(a,1,1)
),rewrite([37(11)])].
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))].
2311 ((0 / (x * y)) * x) * y = a(0 / (x * y),x,y). [para(67(a,1),7(a,1))].
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)])].
4574 (x * (x * ((0 / y) / y))) * a(x * x,0 / y,0 / y) =
(x * (x * (0 / y))) * (0 / y).
[para(405(a,1),93(a,1,1,2,2))].
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 * B))) = C * (C * (((C * x) *
x) * B)).
[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)])].
12570 a(0 / (x * y),x,y) = ((x * y) \ x) * y.
[back_rewrite(2311),rewrite([12498(4)]),flip(a)].
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 / B) = C / B.
[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)])].
12748 (x * (x * (0 / (y * y)))) * a(x * x,0 / y,0 / y) =
(x * (x * (0 / y))) * (0 / y).
[back_rewrite(4574),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))].
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 B * (0 / x) = B / 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 B \ C = C / B. [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))].
13217 (x / C) / x = 0 / C. [para(79(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 / B) / C = 0 / B. [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))].
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)].
13787 (0 / x) / (x \ C) = 0 / C. [para(12873(a,1),12862(a,1,2))].
13796 (B / x) / (0 / x) = B. [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)])].
14012 (x * (x / C)) * y = x * ((x * y) / C). [para(13217(a,1),36(a,1,2,1)),rewrite([12498(5),79(3)]),flip(a)].
14320 (0 / x) / (0 / (x * B)) = B. [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)].
16306 a(0 / (x * y),x,y) = (x \ (x / y)) * y.
[back_rewrite(12570),rewrite([16163(6)])].
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 (B \ (x * (C / B))) / C = (B \ x) / B.
[para(13230(a,1),297(a,1,1,1)),rewrite([12498(8),13230(13),13230(16),12498(16),18573(14)])].
18694 ((x * (0 / y)) / C) / (y \ C) = x / (C * C).
[para(13787(a,1),297(a,1,1,1)),rewrite([12498(7),79(5),13787(13),13787(16),12513(15),1249
8(14),79(12),969(12)])].
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 * B))))) / (B * 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 B * ((x \ (x / B)) * B) = B.
[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 / B)) * B = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].
20575 B * ((x \ (x / B)) * (B * y)) = B * y. [para(19951(a,1),13(a,1,1)),flip(a)].
20578 (x \ (x / B)) * (B * (x \ (x / B))) = 0 / B.
[para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].
20585 (x \ (x / B)) * (B * 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 * (B * (y \ (y / B))) = x.
[para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].
20606 x \ (x / B) = 0 / B. [back_rewrite(20578),rewrite([20598(9)])].
20659 x * (0 / B) = x / B. [para(20606(a,1),9(a,1,2))].
20662 (B \ (x / B)) * y = ((B \ x) / B) * 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 B \ (x * (y * (x * (B \ z)))) = ((B \ (x * (y *
x))) / B) * z.
[para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606
(14),12498(15),20662(14)])].
20676 B \ (x * (C / B)) = C * (B \ (x / B)).
[para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].
20720 B \ (x / B) = (B \ x) / B.
[back_rewrite(18670),rewrite([20676(6),51(8)])].
20744 (x * (y * x)) / B = x * (y * (x / B)).
[para(20659(a,1),13(a,1)),rewrite([20659(8)])].
20832 B \ (x * (y * (x / B))) = (B \ (x * (y * x))) /
B. [para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14
)]),flip(a)].
21328 B * ((B \ x) / B) = x / B. [para(20720(a,1),9(a,1,2))].
21351 (B * x) * B = B * (x * B).
[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 (B \ (x * ((x \ (B * y)) * x))) / B = y * (x /
B).
[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)])].
25360 (C * x) * ((C * (C * x)) \ y) = x * ((x * C) \
y).
[para(12513(a,1),380(a,1,1)),rewrite([51(4),13862(12),12498(13)]),flip(a)].
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)].
25715 (x * y) * ((z / (x * u)) * (x * w)) = x * ((y / x)
* (((x * z) / u) * w)).
[para(298(a,1),385(a,2,2,2,1)),rewrite([11(5)])].
26866 x * ((y / x) * (((x * y) * y) * z)) = (((x * y) *
y) * y) * z.
[para(411(a,1),413(a,1,1)),rewrite([36(4),12(4),36(10),488(10)]),flip(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 / (B / y) = x * (y / B).
[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)])].
29402 ((x / y) / C) / (y \ C) = x / (C * C).
[back_rewrite(18694),rewrite([29065(3)])].
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)])].
29501 (x * (x / (y * y))) * a(x * x,0 / y,0 / y) = (x *
(x / y)) / y.
[back_rewrite(12748),rewrite([29065(4),29065(13),29065(15)])].
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)])].
29818 (x / C) * (C * ((x / C) * y)) = x * ((x * y) /
C).
[back_rewrite(96),rewrite([29171(11),14012(12)])].
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)])].
30525 ((x / y) / C) / (C / y) = x / (C * C).
[back_rewrite(29402),rewrite([29496(5)])].
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)])].
31722 ((x / y) / C) * (y / C) = x / (C * C).
[back_rewrite(30525),rewrite([31520(6)])].
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)])].
31954 x * ((y / x) * ((x * (y * y)) * z)) = ((x * (y *
y)) * y) * z.
[back_rewrite(26866),rewrite([31641(3),31641(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)])].
32078 (C * x) \ ((x * C) / y) = 0 / y. [para(29065(a,1),101(a,1,2))].
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)])].
32111 (x / y) * (x \ z) = x * ((x * y) \ z).
[para(29065(a,1),348(a,1,1)),rewrite([31519(6),12498(7)])].
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)].
32225 a(0 / (x * y),x,y) = 0. [back_rewrite(16306),rewrite([32072(6),12(7)])].
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)])].
32854 C * (x * ((x * C) \ (y / C))) = x * ((x * C) \
y).
[back_rewrite(25360),rewrite([32572(7),365(8),32111(7)])].
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)].
32972 (x * (x / y)) / y = x * (x / (y * y)).
[back_rewrite(29501),rewrite([32917(9),8(5)]),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)].
33278 x * ((x \ y) * y) = y * y.
[back_rewrite(345),rewrite([33166(3),33139(2)])].
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)].
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)])].
34508 ((C * x) * y) \ ((x * C) * y) = 0.
[para(32225(a,1),112(a,1,2)),rewrite([12498(9),8(9),32138(15),12498(15),32072(13),12(10)])].
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)])].
36371 (x * (y * y)) * y = (x * y) * (y * y).
[para(411(a,1),481(a,1,1,2,2)),rewrite([33012(4),31954(6),11(5),12(7),33012(7),36(8)])].
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))].
36950 x \ (y * (y / x)) = ((x \ y) * y) / x.
[para(32076(a,1),29403(a,1,2)),rewrite([33168(5)])].
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)])].
38293 (x / y) * (x * (x / y)) = x * (((y \ x) * x) /
y).
[para(35212(a,1),29248(a,1,1)),rewrite([12505(4),36950(3)]),flip(a)].
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)])].
42337 (x * (C * (C * (x * y)))) / C = x * (x * (C *
y)).
[para(620(a,1),349(a,1,2,1)),rewrite([874(7),79(8),32073(13),52(12),31(12)])].
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)])].
44790 (C * x) * (x * y) = x * (x * (C * y)).
[back_rewrite(42337),rewrite([44781(8),36(8)])].
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)])].
49705 (C * (x * y)) \ (x * (y * C)) = 0 / a(x,y,C). [para(65(a,1),32078(a,1,2))].
50048 a(C * (x * (x * (x * C))),C,y) = 0.
[para(454(a,1),34508(a,1,2,1)),rewrite([55(9),36747(8),44790(7),2029(19)])].
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)].
51382 a(x,y * (z * y),C * C) = a(x,C,y * (z * (y *
C))).
[para(56(a,1),42504(a,1,3)),flip(a)].
51384 a(x,C,y * (z * (C * y))) = a(x,C,y * (z * (y *
C))).
[para(57(a,1),42504(a,1,3)),rewrite([51382(12)])].
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)].
56273 (x / (C * C)) * (x * y) = x * (x * (y / (C *
C))).
[para(13414(a,1),1236(a,1,2,1,2)),rewrite([25715(10),35569(3),13608(3),29524(5),316
92(8),12498(9),79(7),32073(7),31722(6),14012(10),13407(12)]),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)].
56295 x * (((x / C) * y) / C) = x * (x * (y / (C *
C))).
[para(33278(a,1),1236(a,1,2,1,2)),rewrite([79(2),35212(3),79(2),79(7),35212(8),79(7
),25715(10),35569(3),13608(3),29524(5),31692(8),56275(8),12498(7),79(5),79(8),35212(9),79(8),14012(10),13407(12),56273(12)])].
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)])].
56412 C * (x * (x * (y / (C * C)))) = x * ((x * y) /
C).
[back_rewrite(29818),rewrite([56270(8),56295(7)])].
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)])].
66054 a(x * (x * (x / C)),C,y) = 0. [para(12(a,1),50048(a,1,1,2,2,2)),rewrite([35212(6),79(5),38293(7),79(3),35212(4),79(3),32972(6),56412(8
),32076(3)])].
66077 a(0 / (x * (x * (C * x))),C,y) = 0.
[para(12498(a,1),66054(a,1,1,2)),rewrite([31519(6),32115(7),31641(6),29065(8),31519(6),36371(5),44
790(5)])].
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)])].
69392 (C * x) \ (y * ((C / y) * x)) = a(C,y,y \ x). [para(16(a,2),1887(a,1,1))].
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)])].
70056 a(x,x \ y,x * C) = 0 / a(y,x,C).
[para(56(a,2),1977(a,1,1)),rewrite([29188(4),49705(7)]),flip(a)].
70291 a(C,x / C,x \ y) = a(C,x,(x * C) \ y).
[para(52(a,1),1978(a,1,1,2,2,1)),rewrite([32111(5),2023(7),52(12)]),flip(a)].
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)].
70583 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)])].
70594 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)].
70850 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)].
70855 a(C,C * x,y / C) = a(x,y,C).
[para(365(a,1),1990(a,1,1,2)),rewrite([44767(7),16(7,R),365(10),29524(8),52(8),1991(7)]),flip(a)].
70865 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)].
70925 ((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)])].
70940 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)])].
70992 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)].
71026 a(C,x / C,y / C) = 0 / a(x,y,0 / C).
[back_rewrite(54294),rewrite([70992(7)]),flip(a)].
71242 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)].
71251 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)].
71263 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)].
71421 a(x / y,C,y / C) = a(x * y,x,C).
[para(12(a,1),1999(a,1,1)),rewrite([70940(7)]),flip(a)].
71425 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),70940(7),16(8,R),52(8)]),flip(a)].
71449 x / a(y,C,z / C) = x * a(C,y / C,z).
[para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].
71450 x / a(C,y / C,z) = x * a(y,C,z / C).
[para(1999(a,1),33166(a,2,2)),rewrite([2000(7)])].
71458 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)].
71562 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)])].
71569 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)].
71577 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),70925(7),708
65(12)]),flip(a)].
71587 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),71562(7),52(11),71577(10)]),flip(a)].
71728 a(C,x,(x * C) \ y) = a(x,x \ (y / C),C).
[para(100(a,1),2001(a,1,2)),rewrite([16(7,R),32572(8),1871(9),32111(8),32854(9),2023(7),16(12
,R),32572(13),70855(14)])].
71734 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)].
71743 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)])].
71746 a(C * x,x \ (y / C),C) = a(C,x,x \ y).
[para(1926(a,1),2001(a,1,2)),rewrite([16(5,R),32573(10),79(8),79(10),365(11),29524(6),52(6),9(6
),52(5),35381(12),12498(11),13(10),13231(10),69392(7),32573(13),79(11),79(13),70855(14)]),flip(a)].
71881 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)].
71882 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)].
71888 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),71881(18),71882(12)])].
71953 a(C,C * x,y) = a(x,y / C,C).
[back_rewrite(71743),rewrite([71888(6)])].
71954 a(C * x,y,C) = a(C,x / C,y).
[back_rewrite(71577),rewrite([71888(6)]),flip(a)].
71969 a(C,x,y * C) = a(C,x,y). [back_rewrite(70865),rewrite([71888(6),71888(8)])].
72035 a(C,x,(x * C) \ (y / C)) = a(C,x,x \ y).
[back_rewrite(71746),rewrite([71954(7),70291(7)])].
72056 a(C,x / C,y * x) = a(x / C,y,x).
[back_rewrite(71587),rewrite([71954(5)])].
72082 a(C,x / (C * y),y) = a(C,x / y,y).
[back_rewrite(70850),rewrite([71969(7)])].
72087 a(C * C,x,y) = 0 / a(C,x,y).
[back_rewrite(51476),rewrite([71969(5)]),flip(a)].
72089 a(C,x / C,y) = a(x,y,C). [back_rewrite(71569),rewrite([72056(8),49558(6)])].
72104 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71263),rewrite([72087(8),71734(7)])].
72106 a(x,C,y / C) = a(x,C,y). [back_rewrite(71251),rewrite([72087(6),72104(6),72104(8)])].
72107 a(C * x,C,y) = a(x,C,y * x).
[back_rewrite(71242),rewrite([72087(5),72104(5)]),flip(a)].
72111 a(C * x,C,y) = a(x,C,y). [back_rewrite(70583),rewrite([72087(4),72104(4)]),flip(a)].
72144 a(x / C,y,x) = a(x,y * x,C).
[back_rewrite(72056),rewrite([72089(5)]),flip(a)].
72193 x / a(y,z,C) = x * a(y,C,z). [back_rewrite(71450),rewrite([72089(4),72106(7)])].
72194 x / a(y,C,z) = x * a(y,z,C).
[back_rewrite(71449),rewrite([72106(4),72089(7)])].
72203 0 / a(x,y,0 / C) = a(x,y / C,C).
[back_rewrite(71026),rewrite([72089(6)]),flip(a)].
72204 a(C,x,(x * C) \ y) = a(x,x \ y,C). [back_rewrite(70291),rewrite([72089(5)]),flip(a)].
72221 a(x,(y * (C / x)) * x,C) = a(x,y,C).
[back_rewrite(49558),rewrite([72144(6),72089(10)])].
72260 a(x * y,x,C) = a(x,C,y * x).
[back_rewrite(71425),rewrite([72106(5)]),flip(a)].
72262 a(x / y,C,y) = a(x,C,y * x).
[back_rewrite(71421),rewrite([72106(5),72260(6)])].
72263 a(x,C,((y / x) / C) * x) = a(x,C,y).
[back_rewrite(70594),rewrite([72260(6),72106(10)])].
72268 a(x,y / (C * C),C * C) = a(x,C,y).
[back_rewrite(51381),rewrite([72106(12)])].
72278 a(x,x \ y,x * C) = a(y,C,x).
[back_rewrite(70056),rewrite([72193(8),7(8)])].
72309 a(x,C,y * x) = a(x,C,y). [back_rewrite(72107),rewrite([72111(4)]),flip(a)].
72315 a(x,C,C * y) = a(x,C,y). [back_rewrite(71458),rewrite([72309(5),72111(8)])].
72403 a(C,(x / C) / y,y) = a(x,y * x,C).
[back_rewrite(70360),rewrite([72144(3)]),flip(a)].
72411 a(x * C,y / C,C) = a(x,y,C).
[back_rewrite(70356),rewrite([72194(10),7(10)])].
72424 a(x,x \ (y / C),C) = a(C,x,x \ y).
[back_rewrite(72035),rewrite([72204(7)])].
72425 a(C,x,x \ y) = a(x,x \ y,C).
[back_rewrite(71728),rewrite([72204(5),72424(8)]),flip(a)].
72457 a(x,C,y / x) = a(x,C,y). [back_rewrite(72263),rewrite([72309(6),72106(5)])].
72458 a(x / y,C,y) = a(x,C,y). [back_rewrite(72262),rewrite([72309(6)])].
72459 a(x * y,x,C) = a(x,C,y). [back_rewrite(72260),rewrite([72309(6)])].
72538 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72315(4)]),flip(a)].
72592 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72268),rewrite([72538(8),70992(6)])].
72597 a(x,C,y * (z * (y * C))) = a(x,C,y * (z * y)).
[back_rewrite(51382),rewrite([72538(6)]),flip(a)].
72617 a(x,y / C,C) = a(x,y,C).
[back_rewrite(72203),rewrite([72592(5),72194(4),7(4)]),flip(a)].
72656 a(x,C,y * (z * (C * y))) = a(x,C,y * (z * y)). [back_rewrite(51384),rewrite([72597(12)])].
72663 a(x * C,y,C) = a(x,y,C). [back_rewrite(72411),rewrite([72617(6)])].
72665 a(C,C * x,y) = a(x,y,C). [back_rewrite(71953),rewrite([72617(8)])].
72704 a(C,x,y) = a(x,y,C). [back_rewrite(71734),rewrite([72665(6),72663(4)]),flip(a)].
72793 a(C,x * y,x) = a(x,C,y). [back_rewrite(72459),rewrite([72704(3,R)])].
72831 a(C,(x / C) / y,y) = a(C,x / y,y).
[back_rewrite(70332),rewrite([72704(5,R),72082(5)]),flip(a)].
72973 a(C,x / y,y) = a(x,y * x,C). [back_rewrite(72403),rewrite([72831(5)])].
72994 a(x,y * x,C) = a(x,y,x * C). [para(72704(a,1),49557(a,1))].
73060 a(C,x / y,y) = a(x,y,x * C).
[back_rewrite(72973),rewrite([72994(6)])].
73062 a(x,y * (C / x),x * C) = a(x,y,C). [back_rewrite(72221),rewrite([72994(6)])].
73771 a(x \ y,C,y) = a(x \ y,C,x). [para(9(a,1),72309(a,1,3))].
74039 a(x \ y,C,y) = a(0 / x,C,y).
[para(12503(a,1),72458(a,1,1)),flip(a)].
74051 a(x * (y \ z),C,z \ y) = a(x,C,z \ y). [para(33166(a,1),72458(a,1,1))].
74113 a(x * (C / y),C,y) = a(x,C,y).
[para(72458(a,1),72106(a,1)),rewrite([72106(4),31520(5)]),flip(a)].
74203 a(x,C,x \ y) = a(C,y,x). [para(9(a,1),72793(a,1,2)),flip(a)].
74204 a(C,x,x / y) = a(x,C,y). [para(12(a,1),72793(a,1,2)),rewrite([72458(6)])].
74228 a(C,x,x * (y \ z)) = a(x,C,z \ y).
[para(33183(a,1),72793(a,1,2)),rewrite([74051(9)])].
74232 a(C,x / y,y) = a(C,x,y).
[para(35448(a,1),72793(a,1,2)),rewrite([72457(7),74203(6)])].
74278 a(x,x / y,x * C) = a(C,y,x).
[back_rewrite(52574),rewrite([74228(4),74203(3)]),flip(a)].
74283 a(x,y,x * C) = a(C,x,y). [back_rewrite(73060),rewrite([74232(3)]),flip(a)].
74306 a(C,x,y) = a(y,C,x). [back_rewrite(74278),rewrite([74283(4),74204(3)]),flip(a)].
74310 a(C,x,y * (C / x)) = a(x,y,C).
[back_rewrite(73062),rewrite([74283(6)])].
74316 a(C,x,x \ y) = a(y,C,x). [back_rewrite(72278),rewrite([74283(4)])].
74418 a(x,C,y) = a(y,x,C).
[back_rewrite(74113),rewrite([74306(5,R),74310(5)]),flip(a)].
74469 a(C,x,0 / y) = a(x,y \ x,C).
[back_rewrite(74039),rewrite([74418(3),74306(7,R)]),flip(a)].
74532 a(x,y \ x,C) = a(y,y \ x,C).
[back_rewrite(73771),rewrite([74418(3),74418(6)])].
74601 a(C,x,0 / (y * (y * (C * y)))) = 0.
[back_rewrite(66077),rewrite([74306(8,R)])].
74642 a(x,x \ y,C) = a(y,C,x). [back_rewrite(72425),rewrite([74316(3)]),flip(a)].
74706 a(x,y \ x,C) = a(x,C,y). [back_rewrite(74532),rewrite([74642(6)])].
74766 a(C,x,0 / y) = a(x,C,y). [back_rewrite(74469),rewrite([74706(7)])].
74771 a(x,C,y * (y * y)) = 0. [back_rewrite(74601),rewrite([74766(8),72656(6)])].
74772 $F.
[resolve(74771,a,21,a)].
============================== end of proof
==========================
% Proof 5 at 110.77 (+ 0.42) seconds.
% Length of proof is 716.
% Level of proof is 57.
% Maximum clause weight is 39.000.
% Given clauses 3252.
2 a(C,B,x * (x * 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 * B) * x) = (x * y) * (B * x). [assumption].
15 (x * y) * (B * x) = x * ((y * B) * 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,B,c2 * (c2 * c2)) != 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) * B) * x) = y * (B * x). [para(9(a,1),15(a,1,1)),flip(a)].
42 (x * ((y * B) * x)) / (B * x) = x * y. [para(15(a,1),11(a,1,1))].
43 (x / y) * ((y * B) * (x / y)) = x * (B * (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) * (B * x) = x * ((B * 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)])].
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) * B)) = x * (B * 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))].
100 (C * x) * ((x * C) \ y) = y. [para(76(a,2),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))].
104 ((x * C) * (y * (C * x))) * z = (C * x) * (y * ((C *
x) * z)).
[para(76(a,1),13(a,1,1))].
108 (C * (x * (y * x))) * z = (x * (y * (x * C))) *
z. [para(13(a,1),76(a,2,1))].
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 * B) * x))) / (B * 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))].
175 C * (x * (x * x)) = x * (C * (x * x)). [para(89(a,2),13(a,2,2)),rewrite([16(4,R)])].
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 * B) * x)))) / (B * x) = (x
* y) * (z * (x * y)).
[para(15(a,1),35(a,1,1,2,2))].
302 (B * (x * ((y * B) * x))) / x = B * ((x * y) *
B). [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))].
422 (x * (C * (y * (x * C)))) * z = x * (C * (y * (C * (x
* z)))).
[para(16(a,1),37(a,1,1,2,2,2))].
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)])].
454 (C * (x * (C * (x * x)))) * y = C * (x * (x * (x * (C
* y)))).
[para(89(a,2),37(a,1,1,2,2))].
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)) / (B * x) = x * (y / B). [para(12(a,1),42(a,1,1,2,1))].
725 (C * (C * (x * B))) / (B * 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))].
874 (x * (x * (C * C))) * y = x * (C * (C * (x *
y))).
[para(649(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].
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))].
1319 C * (C * (x / (y * C))) = (C * x) / y.
[para(880(a,1),35(a,1,1,2)),rewrite([16(9,R)]),flip(a)].
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)].
1466 x * (C * (C * (C * y))) = x * (C * (y * (C *
C))). [para(55(a,1),728(a,2,2))].
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))].
2005 a(C * x,y,z) = a(x * C,y,z).
[para(76(a,2),64(a,1,1)),rewrite([2003(9)])].
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))].
2175 (x / C) * (x * C) = C * ((x / C) * x).
[para(2103(a,1),18(a,1,2)),rewrite([8(7),16(10,R)])].
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))].
2987 a(x,C * C,y) = a(x,y * C,C). [para(16(a,1),2042(a,2,2))].
2993 a(x,C * (y * C),C) = a(x,C * C,C * y). [para(728(a,1),2042(a,2,2)),flip(a)].
2994 a(x,C * (C * y),C) = a(x,C * C,y * C). [para(728(a,2),2042(a,2,2)),flip(a)].
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)])].
3519 a(C * x,C * C,y) = a(x * C,y * C,C). [para(2987(a,1),2005(a,2))].
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)])].
5839 (C * (x * (x * x))) * y = (x * (C * (x * x))) *
y. [para(89(a,2),108(a,2,1,2))].
6033 a(x,C * (y * (z * (y * C))),C) = a(x,C * C,C * (y *
(z * y))).
[para(108(a,1),2987(a,2,2)),rewrite([16(14,R)]),flip(a)].
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 * B))) = C * (C * (((C * x) *
x) * B)).
[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 / B) = C / B.
[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))].
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 B * (0 / x) = B / 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 B \ C = C / B. [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 / B) / C = 0 / B. [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))].
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 (B / x) / (0 / x) = B. [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 * B)) = B. [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)])].
16004 (C * x) * (C * ((x * C) \ C)) = C * C. [para(12884(a,1),100(a,1,2))].
16007 C * ((x * C) \ C) = C / x. [para(12884(a,1),245(a,1)),rewrite([12979(6),12884(8)]),flip(a)].
16016 (C * x) * (C / x) = C * C.
[back_rewrite(16004),rewrite([16007(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))].
18245 ((x * C) * y) * (C / x) = (x * C) * ((C * y) /
x).
[para(16003(a,1),36(a,1,2,2)),rewrite([306(9,R),16(8,R),1319(9)]),flip(a)].
18285 (C / x) / (C * C) = 0 / (x * C). [para(16003(a,1),12862(a,1,2))].
18325 (C * x) * (y * (C * C)) = (x * C) * (C * (y *
C)).
[para(16016(a,1),104(a,2,2,2)),rewrite([18245(9),35(8)]),flip(a)].
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)].
18443 ((x * C) * y) \ (C * x) = (C * x) \ ((C * x) /
y). [para(76(a,1),16163(a,1,1))].
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 (B \ (x * (C / B))) / C = (B \ x) / B.
[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 * B))))) / (B * 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 B * ((x \ (x / B)) * B) = B.
[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 / B)) * B = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].
20575 B * ((x \ (x / B)) * (B * y)) = B * y. [para(19951(a,1),13(a,1,1)),flip(a)].
20578 (x \ (x / B)) * (B * (x \ (x / B))) = 0 / B.
[para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].
20585 (x \ (x / B)) * (B * 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 * (B * (y \ (y / B))) = x.
[para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].
20606 x \ (x / B) = 0 / B. [back_rewrite(20578),rewrite([20598(9)])].
20659 x * (0 / B) = x / B. [para(20606(a,1),9(a,1,2))].
20662 (B \ (x / B)) * y = ((B \ x) / B) * 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 B \ (x * (y * (x * (B \ z)))) = ((B \ (x * (y *
x))) / B) * z.
[para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606
(14),12498(15),20662(14)])].
20676 B \ (x * (C / B)) = C * (B \ (x / B)). [para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].
20720 B \ (x / B) = (B \ x) / B.
[back_rewrite(18670),rewrite([20676(6),51(8)])].
20744 (x * (y * x)) / B = x * (y * (x / B)).
[para(20659(a,1),13(a,1)),rewrite([20659(8)])].
20832 B \ (x * (y * (x / B))) = (B \ (x * (y * x))) /
B.
[para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14
)]),flip(a)].
21328 B * ((B \ x) / B) = x / B. [para(20720(a,1),9(a,1,2))].
21351 (B * x) * B = B * (x * B). [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 (B \ (x * ((x \ (B * y)) * x))) / B = y * (x /
B). [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 / (B / y) = x * (y / B).
[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)])].
29809 (x / C) * (x * C) = x * x.
[back_rewrite(2175),rewrite([29171(9),13414(10)])].
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)])].
32222 ((x * C) * y) \ (C * x) = 0 / y.
[back_rewrite(18443),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)].
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)])].
35620 (x * (C * (x * x))) * y = x * ((C * x) * (x *
y)).
[para(29809(a,1),422(a,1,1,2,2)),rewrite([36(13)])].
35686 (C * (x * (x * x))) * y = x * ((C * x) * (x *
y)).
[back_rewrite(5839),rewrite([35620(10)])].
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)])].
38300 (x / y) * (x * x) = x * ((y \ x) * x).
[para(35212(a,1),31641(a,1,1)),rewrite([29248(3)]),flip(a)].
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)])].
42337 (x * (C * (C * (x * y)))) / C = x * (x * (C *
y)). [para(620(a,1),349(a,1,2,1)),rewrite([874(7),79(8),32073(13),52(12),31(12)])].
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)])].
42496 (C * x) * (y * (C * C)) = C * (C * (x * (y *
C))).
[back_rewrite(18325),rewrite([42338(14)])].
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)])].
44790 (C * x) * (x * y) = x * (x * (C * y)).
[back_rewrite(42337),rewrite([44781(8),36(8)])].
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)])].
44856 (C * (x * (x * x))) * y = x * (x * (x * (C *
y))).
[back_rewrite(35686),rewrite([44790(9)])].
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)])].
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)].
49882 ((x * C) * y) \ (C * (x * y)) = 0 / a(C,x,y).
[para(360(a,1),32222(a,1,1)),rewrite([30809(5),31689(5),31994(12)])].
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)].
70583 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)])].
70594 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)].
70850 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)].
70865 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)].
70925 ((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)])].
70940 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)])].
70992 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)].
71026 a(C,x / C,y / C) = 0 / a(x,y,0 / C).
[back_rewrite(54294),rewrite([70992(7)]),flip(a)].
71242 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)].
71251 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)].
71263 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)].
71421 a(x / y,C,y / C) = a(x * y,x,C).
[para(12(a,1),1999(a,1,1)),rewrite([70940(7)]),flip(a)].
71423 a(C * x,C,y / C) = 0 / a(C,x,y).
[para(76(a,1),1999(a,1,1)),rewrite([29524(8),52(8),49882(7)]),flip(a)].
71425 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),70940(7),16(8,R),52(8)]),flip(a)].
71435 0 / a(C,x * (C * (x * x)),y) = 0.
[para(454(a,1),1999(a,1,1)),rewrite([29524(16),44781(15),38300(14),79(12),35212(13),79(12),13419(15)
,44856(13),26(15),71423(11)]),flip(a)].
71449 x / a(y,C,z / C) = x * a(C,y / C,z).
[para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].
71458 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)].
71562 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 (C / (x * (C * y))) * (x * y) = a(C,x / C,y).
[para(2000(a,1),12498(a,2)),rewrite([36413(7),29496(2),49796(5)])].
71569 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)].
71577 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),70925(7),708
65(12)]),flip(a)].
71587 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),71562(7),52(11),71577(10)]),flip(a)].
71637 a(C * x,C * C,y * C) = a(C,x / C,y).
[para(1466(a,1),2000(a,1,2)),rewrite([52986(10),52(6),32572(15),44781(12),52605(11),52(9),48783(9
),71567(8),29524(8),52(8),71577(14),2994(12)]),flip(a)].
71734 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)].
71743 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)])].
71881 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)].
71882 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)].
71888 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),71881(18),71882(12)])].
71953 a(C,C * x,y) = a(x,y / C,C).
[back_rewrite(71743),rewrite([71888(6)])].
71954 a(C * x,y,C) = a(C,x / C,y). [back_rewrite(71577),rewrite([71888(6)]),flip(a)].
71969 a(C,x,y * C) = a(C,x,y). [back_rewrite(70865),rewrite([71888(6),71888(8)])].
72056 a(C,x / C,y * x) = a(x / C,y,x).
[back_rewrite(71587),rewrite([71954(5)])].
72082 a(C,x / (C * y),y) = a(C,x / y,y). [back_rewrite(70850),rewrite([71969(7)])].
72087 a(C * C,x,y) = 0 / a(C,x,y).
[back_rewrite(51476),rewrite([71969(5)]),flip(a)].
72089 a(C,x / C,y) = a(x,y,C). [back_rewrite(71569),rewrite([72056(8),49558(6)])].
72104 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71263),rewrite([72087(8),71734(7)])].
72106 a(x,C,y / C) = a(x,C,y). [back_rewrite(71251),rewrite([72087(6),72104(6),72104(8)])].
72107 a(C * x,C,y) = a(x,C,y * x).
[back_rewrite(71242),rewrite([72087(5),72104(5)]),flip(a)].
72111 a(C * x,C,y) = a(x,C,y). [back_rewrite(70583),rewrite([72087(4),72104(4)]),flip(a)].
72144 a(x / C,y,x) = a(x,y * x,C).
[back_rewrite(72056),rewrite([72089(5)]),flip(a)].
72165 a(C * x,C * C,y * C) = a(x,y,C). [back_rewrite(71637),rewrite([72089(12)])].
72194 x / a(y,C,z) = x * a(y,z,C).
[back_rewrite(71449),rewrite([72106(4),72089(7)])].
72203 0 / a(x,y,0 / C) = a(x,y / C,C).
[back_rewrite(71026),rewrite([72089(6)]),flip(a)].
72247 a(x * (C * (x * x)),C,y) = 0. [back_rewrite(71435),rewrite([72104(8)])].
72260 a(x * y,x,C) = a(x,C,y * x).
[back_rewrite(71425),rewrite([72106(5)]),flip(a)].
72262 a(x / y,C,y) = a(x,C,y * x).
[back_rewrite(71421),rewrite([72106(5),72260(6)])].
72263 a(x,C,((y / x) / C) * x) = a(x,C,y). [back_rewrite(70594),rewrite([72260(6),72106(10)])].
72268 a(x,y / (C * C),C * C) = a(x,C,y).
[back_rewrite(51381),rewrite([72106(12)])].
72309 a(x,C,y * x) = a(x,C,y). [back_rewrite(72107),rewrite([72111(4)]),flip(a)].
72315 a(x,C,C * y) = a(x,C,y). [back_rewrite(71458),rewrite([72309(5),72111(8)])].
72403 a(C,(x / C) / y,y) = a(x,y * x,C).
[back_rewrite(70360),rewrite([72144(3)]),flip(a)].
72411 a(x * C,y / C,C) = a(x,y,C).
[back_rewrite(70356),rewrite([72194(10),7(10)])].
72457 a(x,C,y / x) = a(x,C,y). [back_rewrite(72263),rewrite([72309(6),72106(5)])].
72458 a(x / y,C,y) = a(x,C,y). [back_rewrite(72262),rewrite([72309(6)])].
72459 a(x * y,x,C) = a(x,C,y). [back_rewrite(72260),rewrite([72309(6)])].
72538 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72315(4)]),flip(a)].
72592 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72268),rewrite([72538(8),70992(6)])].
72617 a(x,y / C,C) = a(x,y,C).
[back_rewrite(72203),rewrite([72592(5),72194(4),7(4)]),flip(a)].
72663 a(x * C,y,C) = a(x,y,C). [back_rewrite(72411),rewrite([72617(6)])].
72665 a(C,C * x,y) = a(x,y,C). [back_rewrite(71953),rewrite([72617(8)])].
72693 a(C * x,C * C,y) = a(x,y * C,C).
[back_rewrite(3519),rewrite([72663(12)])].
72704 a(C,x,y) = a(x,y,C). [back_rewrite(71734),rewrite([72665(6),72663(4)]),flip(a)].
72756 a(x,C * C,C * y) = a(x,y,C).
[back_rewrite(72165),rewrite([72693(8),16(4,R),2993(6)])].
72793 a(C,x * y,x) = a(x,C,y). [back_rewrite(72459),rewrite([72704(3,R)])].
72831 a(C,(x / C) / y,y) = a(C,x / y,y).
[back_rewrite(70332),rewrite([72704(5,R),72082(5)]),flip(a)].
72944 a(B,c2 * (c2 * c2),C) != 0. [back_rewrite(20),rewrite([72704(8)])].
72965 a(x,C * (y * (z * (y * C))),C) = a(x,y * (z *
y),C). [back_rewrite(6033),rewrite([72756(16)])].
72973 a(C,x / y,y) = a(x,y * x,C).
[back_rewrite(72403),rewrite([72831(5)])].
72984 a(x,C * y,C) = a(C,x,y). [para(72704(a,2),2054(a,2)),rewrite([71969(8)])].
72994 a(x,y * x,C) = a(x,y,x * C). [para(72704(a,1),49557(a,1))].
73051 a(C,x,y * (z * (y * C))) = a(x,y * (z * y),C).
[back_rewrite(72965),rewrite([72984(8)])].
73060 a(C,x / y,y) = a(x,y,x * C).
[back_rewrite(72973),rewrite([72994(6)])].
73337 a(C,x,y * (C * (y * y))) = a(C,x,y * (y * y)). [para(175(a,1),71888(a,1,3))].
73339 a(C,x,y * (z * (y * (C * C)))) = a(x,y * (z *
y),C).
[para(421(a,2),71888(a,1,3)),rewrite([71888(10),71888(8),73051(6)]),flip(a)].
74051 a(x * (y \ z),C,z \ y) = a(x,C,z \ y). [para(33166(a,1),72458(a,1,1))].
74203 a(x,C,x \ y) = a(C,y,x). [para(9(a,1),72793(a,1,2)),flip(a)].
74204 a(C,x,x / y) = a(x,C,y). [para(12(a,1),72793(a,1,2)),rewrite([72458(6)])].
74228 a(C,x,x * (y \ z)) = a(x,C,z \ y).
[para(33183(a,1),72793(a,1,2)),rewrite([74051(9)])].
74232 a(C,x / y,y) = a(C,x,y). [para(35448(a,1),72793(a,1,2)),rewrite([72457(7),74203(6)])].
74278 a(x,x / y,x * C) = a(C,y,x).
[back_rewrite(52574),rewrite([74228(4),74203(3)]),flip(a)].
74283 a(x,y,x * C) = a(C,x,y). [back_rewrite(73060),rewrite([74232(3)]),flip(a)].
74306 a(C,x,y) = a(y,C,x). [back_rewrite(74278),rewrite([74283(4),74204(3)]),flip(a)].
74567 a(C,x,y * (y * y)) = 0. [back_rewrite(72247),rewrite([74306(6,R),73337(6)])].
74979 a(x,y * (y * y),C) = 0.
[para(920(a,1),74567(a,1,3,2)),rewrite([42496(14),44790(12),43619(15),43619(13),71888(16),71888(14),71888(12),
71888(10),73339(8)])].
74980 $F.
[resolve(74979,a,72944,a)].
============================== end of proof
==========================
============================== PROOF
=================================
% Proof 6 at 110.78 (+ 0.43) seconds.
% Length of proof is 715.
% Level of proof is 57.
% Maximum clause weight is 39.000.
% Given clauses 3252.
4 a(B,x * (x * 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 * B) * x) = (x * y) * (B * x). [assumption].
15 (x * y) * (B * x) = x * ((y * B) * 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(B,c4 * (c4 * c4),C) != 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) * B) * x) = y * (B * x). [para(9(a,1),15(a,1,1)),flip(a)].
42 (x * ((y * B) * x)) / (B * x) = x * y. [para(15(a,1),11(a,1,1))].
43 (x / y) * ((y * B) * (x / y)) = x * (B * (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) * (B * x) = x * ((B * 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)])].
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) * B)) = x * (B * 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))].
100 (C * x) * ((x * C) \ y) = y. [para(76(a,2),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))].
104 ((x * C) * (y * (C * x))) * z = (C * x) * (y * ((C *
x) * z)).
[para(76(a,1),13(a,1,1))].
108 (C * (x * (y * x))) * z = (x * (y * (x * C))) *
z. [para(13(a,1),76(a,2,1))].
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 * B) * x))) / (B * 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))].
175 C * (x * (x * x)) = x * (C * (x * x)).
[para(89(a,2),13(a,2,2)),rewrite([16(4,R)])].
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 * B) * x)))) / (B * x) = (x
* y) * (z * (x * y)).
[para(15(a,1),35(a,1,1,2,2))].
302 (B * (x * ((y * B) * x))) / x = B * ((x * y) *
B). [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))].
422 (x * (C * (y * (x * C)))) * z = x * (C * (y * (C * (x
* z)))).
[para(16(a,1),37(a,1,1,2,2,2))].
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)])].
454 (C * (x * (C * (x * x)))) * y = C * (x * (x * (x * (C
* y)))).
[para(89(a,2),37(a,1,1,2,2))].
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)) / (B * x) = x * (y / B). [para(12(a,1),42(a,1,1,2,1))].
725 (C * (C * (x * B))) / (B * 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))].
874 (x * (x * (C * C))) * y = x * (C * (C * (x *
y))). [para(649(a,1),36(a,1,2,1)),rewrite([31(5)]),flip(a)].
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))].
1319 C * (C * (x / (y * C))) = (C * x) / y.
[para(880(a,1),35(a,1,1,2)),rewrite([16(9,R)]),flip(a)].
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)].
1466 x * (C * (C * (C * y))) = x * (C * (y * (C *
C))). [para(55(a,1),728(a,2,2))].
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))].
2005 a(C * x,y,z) = a(x * C,y,z).
[para(76(a,2),64(a,1,1)),rewrite([2003(9)])].
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))].
2175 (x / C) * (x * C) = C * ((x / C) * x).
[para(2103(a,1),18(a,1,2)),rewrite([8(7),16(10,R)])].
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))].
2987 a(x,C * C,y) = a(x,y * C,C). [para(16(a,1),2042(a,2,2))].
2993 a(x,C * (y * C),C) = a(x,C * C,C * y). [para(728(a,1),2042(a,2,2)),flip(a)].
2994 a(x,C * (C * y),C) = a(x,C * C,y * C). [para(728(a,2),2042(a,2,2)),flip(a)].
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)])].
3519 a(C * x,C * C,y) = a(x * C,y * C,C). [para(2987(a,1),2005(a,2))].
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)])].
5839 (C * (x * (x * x))) * y = (x * (C * (x * x))) *
y. [para(89(a,2),108(a,2,1,2))].
6033 a(x,C * (y * (z * (y * C))),C) = a(x,C * C,C * (y *
(z * y))).
[para(108(a,1),2987(a,2,2)),rewrite([16(14,R)]),flip(a)].
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 * B))) = C * (C * (((C * x) *
x) * B)). [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 / B) = C / B.
[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))].
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 B * (0 / x) = B / 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 B \ C = C / B. [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 / B) / C = 0 / B. [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))].
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 (B / x) / (0 / x) = B. [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 * B)) = B. [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)])].
16004 (C * x) * (C * ((x * C) \ C)) = C * C. [para(12884(a,1),100(a,1,2))].
16007 C * ((x * C) \ C) = C / x.
[para(12884(a,1),245(a,1)),rewrite([12979(6),12884(8)]),flip(a)].
16016 (C * x) * (C / x) = C * C.
[back_rewrite(16004),rewrite([16007(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))].
18245 ((x * C) * y) * (C / x) = (x * C) * ((C * y) /
x).
[para(16003(a,1),36(a,1,2,2)),rewrite([306(9,R),16(8,R),1319(9)]),flip(a)].
18285 (C / x) / (C * C) = 0 / (x * C). [para(16003(a,1),12862(a,1,2))].
18325 (C * x) * (y * (C * C)) = (x * C) * (C * (y *
C)).
[para(16016(a,1),104(a,2,2,2)),rewrite([18245(9),35(8)]),flip(a)].
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)].
18443 ((x * C) * y) \ (C * x) = (C * x) \ ((C * x) /
y). [para(76(a,1),16163(a,1,1))].
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 (B \ (x * (C / B))) / C = (B \ x) / B.
[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 * B))))) / (B * 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 B * ((x \ (x / B)) * B) = B.
[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 / B)) * B = 0. [para(19951(a,1),10(a,1,2)),rewrite([26(3)]),flip(a)].
20575 B * ((x \ (x / B)) * (B * y)) = B * y. [para(19951(a,1),13(a,1,1)),flip(a)].
20578 (x \ (x / B)) * (B * (x \ (x / B))) = 0 / B.
[para(19951(a,1),35(a,1,1,2)),rewrite([20574(5)]),flip(a)].
20585 (x \ (x / B)) * (B * 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 * (B * (y \ (y / B))) = x.
[para(19951(a,1),300(a,1,1,2,2,2)),rewrite([20585(8),11(4),20585(12)]),flip(a)].
20606 x \ (x / B) = 0 / B. [back_rewrite(20578),rewrite([20598(9)])].
20659 x * (0 / B) = x / B. [para(20606(a,1),9(a,1,2))].
20662 (B \ (x / B)) * y = ((B \ x) / B) * 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 B \ (x * (y * (x * (B \ z)))) = ((B \ (x * (y *
x))) / B) * z.
[para(20606(a,1),197(a,1,1)),rewrite([20606(10),12498(7),12498(9),20606
(14),12498(15),20662(14)])].
20676 B \ (x * (C / B)) = C * (B \ (x / B)). [para(20606(a,1),199(a,1,1)),rewrite([20606(7),20659(8),12498(8),20606(10),12498(13)])].
20720 B \ (x / B) = (B \ x) / B.
[back_rewrite(18670),rewrite([20676(6),51(8)])].
20744 (x * (y * x)) / B = x * (y * (x / B)).
[para(20659(a,1),13(a,1)),rewrite([20659(8)])].
20832 B \ (x * (y * (x / B))) = (B \ (x * (y * x))) /
B.
[para(20659(a,1),300(a,2,2,2,2)),rewrite([12498(7),12498(9),20675(7),11(8),12498(14
)]),flip(a)].
21328 B * ((B \ x) / B) = x / B. [para(20720(a,1),9(a,1,2))].
21351 (B * x) * B = B * (x * B). [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 (B \ (x * ((x \ (B * y)) * x))) / B = y * (x /
B).
[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 / (B / y) = x * (y / B).
[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)])].
29809 (x / C) * (x * C) = x * x.
[back_rewrite(2175),rewrite([29171(9),13414(10)])].
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)])].
32222 ((x * C) * y) \ (C * x) = 0 / y.
[back_rewrite(18443),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)].
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)])].
35620 (x * (C * (x * x))) * y = x * ((C * x) * (x *
y)).
[para(29809(a,1),422(a,1,1,2,2)),rewrite([36(13)])].
35686 (C * (x * (x * x))) * y = x * ((C * x) * (x *
y)).
[back_rewrite(5839),rewrite([35620(10)])].
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)])].
38300 (x / y) * (x * x) = x * ((y \ x) * x).
[para(35212(a,1),31641(a,1,1)),rewrite([29248(3)]),flip(a)].
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)])].
42337 (x * (C * (C * (x * y)))) / C = x * (x * (C *
y)).
[para(620(a,1),349(a,1,2,1)),rewrite([874(7),79(8),32073(13),52(12),31(12)])].
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)])].
42496 (C * x) * (y * (C * C)) = C * (C * (x * (y *
C))).
[back_rewrite(18325),rewrite([42338(14)])].
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)])].
44790 (C * x) * (x * y) = x * (x * (C * y)).
[back_rewrite(42337),rewrite([44781(8),36(8)])].
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)])].
44856 (C * (x * (x * x))) * y = x * (x * (x * (C *
y))).
[back_rewrite(35686),rewrite([44790(9)])].
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)])].
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)].
49882 ((x * C) * y) \ (C * (x * y)) = 0 / a(C,x,y).
[para(360(a,1),32222(a,1,1)),rewrite([30809(5),31689(5),31994(12)])].
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)].
70583 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)])].
70594 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)].
70850 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)].
70865 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)].
70925 ((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)])].
70940 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)])].
70992 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)].
71026 a(C,x / C,y / C) = 0 / a(x,y,0 / C).
[back_rewrite(54294),rewrite([70992(7)]),flip(a)].
71242 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)].
71251 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)].
71263 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)].
71421 a(x / y,C,y / C) = a(x * y,x,C).
[para(12(a,1),1999(a,1,1)),rewrite([70940(7)]),flip(a)].
71423 a(C * x,C,y / C) = 0 / a(C,x,y).
[para(76(a,1),1999(a,1,1)),rewrite([29524(8),52(8),49882(7)]),flip(a)].
71425 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),70940(7),16(8,R),52(8)]),flip(a)].
71435 0 / a(C,x * (C * (x * x)),y) = 0.
[para(454(a,1),1999(a,1,1)),rewrite([29524(16),44781(15),38300(14),79(12),35212(13),79(12),13419(15)
,44856(13),26(15),71423(11)]),flip(a)].
71449 x / a(y,C,z / C) = x * a(C,y / C,z).
[para(1999(a,1),33166(a,1,2)),rewrite([2000(12)])].
71458 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)].
71562 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 (C / (x * (C * y))) * (x * y) = a(C,x / C,y). [para(2000(a,1),12498(a,2)),rewrite([36413(7),29496(2),49796(5)])].
71569 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)].
71577 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),70925(7),708
65(12)]),flip(a)].
71587 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),71562(7),52(11),71577(10)]),flip(a)].
71637 a(C * x,C * C,y * C) = a(C,x / C,y).
[para(1466(a,1),2000(a,1,2)),rewrite([52986(10),52(6),32572(15),44781(12),52605(11),52(9),48783(9
),71567(8),29524(8),52(8),71577(14),2994(12)]),flip(a)].
71734 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)].
71743 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)])].
71881 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)].
71882 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)].
71888 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),71881(18),71882(12)])].
71953 a(C,C * x,y) = a(x,y / C,C). [back_rewrite(71743),rewrite([71888(6)])].
71954 a(C * x,y,C) = a(C,x / C,y).
[back_rewrite(71577),rewrite([71888(6)]),flip(a)].
71969 a(C,x,y * C) = a(C,x,y). [back_rewrite(70865),rewrite([71888(6),71888(8)])].
72056 a(C,x / C,y * x) = a(x / C,y,x). [back_rewrite(71587),rewrite([71954(5)])].
72082 a(C,x / (C * y),y) = a(C,x / y,y).
[back_rewrite(70850),rewrite([71969(7)])].
72087 a(C * C,x,y) = 0 / a(C,x,y).
[back_rewrite(51476),rewrite([71969(5)]),flip(a)].
72089 a(C,x / C,y) = a(x,y,C). [back_rewrite(71569),rewrite([72056(8),49558(6)])].
72104 0 / a(C,x,y) = a(x,C,y). [back_rewrite(71263),rewrite([72087(8),71734(7)])].
72106 a(x,C,y / C) = a(x,C,y). [back_rewrite(71251),rewrite([72087(6),72104(6),72104(8)])].
72107 a(C * x,C,y) = a(x,C,y * x). [back_rewrite(71242),rewrite([72087(5),72104(5)]),flip(a)].
72111 a(C * x,C,y) = a(x,C,y). [back_rewrite(70583),rewrite([72087(4),72104(4)]),flip(a)].
72144 a(x / C,y,x) = a(x,y * x,C).
[back_rewrite(72056),rewrite([72089(5)]),flip(a)].
72165 a(C * x,C * C,y * C) = a(x,y,C).
[back_rewrite(71637),rewrite([72089(12)])].
72194 x / a(y,C,z) = x * a(y,z,C).
[back_rewrite(71449),rewrite([72106(4),72089(7)])].
72203 0 / a(x,y,0 / C) = a(x,y / C,C).
[back_rewrite(71026),rewrite([72089(6)]),flip(a)].
72247 a(x * (C * (x * x)),C,y) = 0.
[back_rewrite(71435),rewrite([72104(8)])].
72260 a(x * y,x,C) = a(x,C,y * x).
[back_rewrite(71425),rewrite([72106(5)]),flip(a)].
72262 a(x / y,C,y) = a(x,C,y * x).
[back_rewrite(71421),rewrite([72106(5),72260(6)])].
72263 a(x,C,((y / x) / C) * x) = a(x,C,y).
[back_rewrite(70594),rewrite([72260(6),72106(10)])].
72268 a(x,y / (C * C),C * C) = a(x,C,y).
[back_rewrite(51381),rewrite([72106(12)])].
72309 a(x,C,y * x) = a(x,C,y). [back_rewrite(72107),rewrite([72111(4)]),flip(a)].
72315 a(x,C,C * y) = a(x,C,y). [back_rewrite(71458),rewrite([72309(5),72111(8)])].
72403 a(C,(x / C) / y,y) = a(x,y * x,C).
[back_rewrite(70360),rewrite([72144(3)]),flip(a)].
72411 a(x * C,y / C,C) = a(x,y,C). [back_rewrite(70356),rewrite([72194(10),7(10)])].
72457 a(x,C,y / x) = a(x,C,y). [back_rewrite(72263),rewrite([72309(6),72106(5)])].
72458 a(x / y,C,y) = a(x,C,y). [back_rewrite(72262),rewrite([72309(6)])].
72459 a(x * y,x,C) = a(x,C,y). [back_rewrite(72260),rewrite([72309(6)])].
72538 a(x,y,C * C) = a(x,C,y). [back_rewrite(42504),rewrite([72315(4)]),flip(a)].
72592 a(x,y,0 / C) = a(x,C,y). [back_rewrite(72268),rewrite([72538(8),70992(6)])].
72617 a(x,y / C,C) = a(x,y,C).
[back_rewrite(72203),rewrite([72592(5),72194(4),7(4)]),flip(a)].
72663 a(x * C,y,C) = a(x,y,C). [back_rewrite(72411),rewrite([72617(6)])].
72665 a(C,C * x,y) = a(x,y,C). [back_rewrite(71953),rewrite([72617(8)])].
72693 a(C * x,C * C,y) = a(x,y * C,C).
[back_rewrite(3519),rewrite([72663(12)])].
72704 a(C,x,y) = a(x,y,C). [back_rewrite(71734),rewrite([72665(6),72663(4)]),flip(a)].
72756 a(x,C * C,C * y) = a(x,y,C).
[back_rewrite(72165),rewrite([72693(8),16(4,R),2993(6)])].
72793 a(C,x * y,x) = a(x,C,y). [back_rewrite(72459),rewrite([72704(3,R)])].
72831 a(C,(x / C) / y,y) = a(C,x / y,y).
[back_rewrite(70332),rewrite([72704(5,R),72082(5)]),flip(a)].
72965 a(x,C * (y * (z * (y * C))),C) = a(x,y * (z *
y),C).
[back_rewrite(6033),rewrite([72756(16)])].
72973 a(C,x / y,y) = a(x,y * x,C). [back_rewrite(72403),rewrite([72831(5)])].
72984 a(x,C * y,C) = a(C,x,y). [para(72704(a,2),2054(a,2)),rewrite([71969(8)])].
72994 a(x,y * x,C) = a(x,y,x * C). [para(72704(a,1),49557(a,1))].
73051 a(C,x,y * (z * (y * C))) = a(x,y * (z * y),C).
[back_rewrite(72965),rewrite([72984(8)])].
73060 a(C,x / y,y) = a(x,y,x * C).
[back_rewrite(72973),rewrite([72994(6)])].
73337 a(C,x,y * (C * (y * y))) = a(C,x,y * (y * y)). [para(175(a,1),71888(a,1,3))].
73339 a(C,x,y * (z * (y * (C * C)))) = a(x,y * (z *
y),C).
[para(421(a,2),71888(a,1,3)),rewrite([71888(10),71888(8),73051(6)]),flip(a)].
74051 a(x * (y \ z),C,z \ y) = a(x,C,z \ y). [para(33166(a,1),72458(a,1,1))].
74203 a(x,C,x \ y) = a(C,y,x). [para(9(a,1),72793(a,1,2)),flip(a)].
74204 a(C,x,x / y) = a(x,C,y). [para(12(a,1),72793(a,1,2)),rewrite([72458(6)])].
74228 a(C,x,x * (y \ z)) = a(x,C,z \ y).
[para(33183(a,1),72793(a,1,2)),rewrite([74051(9)])].
74232 a(C,x / y,y) = a(C,x,y). [para(35448(a,1),72793(a,1,2)),rewrite([72457(7),74203(6)])].
74278 a(x,x / y,x * C) = a(C,y,x).
[back_rewrite(52574),rewrite([74228(4),74203(3)]),flip(a)].
74283 a(x,y,x * C) = a(C,x,y). [back_rewrite(73060),rewrite([74232(3)]),flip(a)].
74306 a(C,x,y) = a(y,C,x). [back_rewrite(74278),rewrite([74283(4),74204(3)]),flip(a)].
74567 a(C,x,y * (y * y)) = 0. [back_rewrite(72247),rewrite([74306(6,R),73337(6)])].
74979 a(x,y * (y * y),C) = 0.
[para(920(a,1),74567(a,1,3,2)),rewrite([42496(14),44790(12),43619(15),43619(13),71888(16),71888(14),71888(12),
71888(10),73339(8)])].
74981 $F.
[resolve(74979,a,22,a)].
============================== end of proof
==========================