TSTP Solution File: GRP478-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP478-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:47:38 EDT 2022
% Result : Unsatisfiable 43.59s 43.84s
% Output : Refutation 43.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of clauses : 273 ( 273 unt; 0 nHn; 273 RR)
% Number of literals : 273 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(divide(inverse(divide(divide(divide(u,u),v),divide(w,divide(v,x)))),x),w),
file('GRP478-1.p',unknown),
[] ).
cnf(2,axiom,
equal(divide(u,inverse(v)),multiply(u,v)),
file('GRP478-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1)),
file('GRP478-1.p',unknown),
[] ).
cnf(5,plain,
equal(multiply(inverse(divide(divide(divide(u,u),v),divide(w,divide(v,inverse(x))))),x),w),
inference(spr,[status(thm),theory(equality)],[1,2]),
[iquote('0:SpR:1.0,2.0')] ).
cnf(6,plain,
equal(divide(inverse(divide(divide(divide(u,u),inverse(divide(divide(divide(v,v),w),divide(x,divide(w,y))))),divide(z,x))),y),z),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(8,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),w)),x),inverse(divide(divide(divide(y,y),z),divide(w,divide(z,divide(v,x)))))),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(11,plain,
equal(divide(inverse(divide(multiply(divide(u,u),v),divide(w,divide(inverse(v),x)))),x),w),
inference(spr,[status(thm),theory(equality)],[2,1]),
[iquote('0:SpR:2.0,1.0')] ).
cnf(12,plain,
equal(multiply(inverse(divide(divide(divide(u,u),v),divide(w,multiply(v,x)))),x),w),
inference(rew,[status(thm),theory(equality)],[2,5]),
[iquote('0:Rew:2.0,5.0')] ).
cnf(14,plain,
equal(divide(inverse(divide(multiply(divide(u,u),divide(divide(divide(v,v),w),divide(x,divide(w,y)))),divide(z,x))),y),z),
inference(rew,[status(thm),theory(equality)],[2,6]),
[iquote('0:Rew:2.0,6.0')] ).
cnf(17,plain,
equal(multiply(inverse(divide(divide(divide(u,u),v),w)),x),inverse(divide(divide(divide(y,y),z),divide(w,divide(z,multiply(v,x)))))),
inference(spr,[status(thm),theory(equality)],[1,12]),
[iquote('0:SpR:1.0,12.0')] ).
cnf(18,plain,
equal(multiply(inverse(divide(divide(multiply(inverse(u),u),v),divide(w,multiply(v,x)))),x),w),
inference(spr,[status(thm),theory(equality)],[2,12]),
[iquote('0:SpR:2.0,12.0')] ).
cnf(19,plain,
equal(multiply(inverse(divide(multiply(divide(u,u),v),divide(w,multiply(inverse(v),x)))),x),w),
inference(spr,[status(thm),theory(equality)],[2,12]),
[iquote('0:SpR:2.0,12.0')] ).
cnf(212,plain,
equal(inverse(divide(divide(divide(u,u),v),divide(divide(w,divide(x,y)),divide(v,divide(x,y))))),w),
inference(spr,[status(thm),theory(equality)],[8,1]),
[iquote('0:SpR:8.0,1.0')] ).
cnf(239,plain,
equal(divide(divide(inverse(divide(divide(divide(u,u),v),w)),x),divide(v,x)),w),
inference(spr,[status(thm),theory(equality)],[8,1]),
[iquote('0:SpR:8.0,1.0')] ).
cnf(324,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),divide(inverse(divide(divide(divide(w,w),x),y)),divide(v,z)))),z),inverse(divide(divide(divide(x1,x1),x),y))),
inference(spr,[status(thm),theory(equality)],[239,8]),
[iquote('0:SpR:239.0,8.0')] ).
cnf(326,plain,
equal(divide(inverse(divide(u,divide(v,divide(divide(w,inverse(divide(divide(divide(x,x),w),u))),y)))),y),v),
inference(spr,[status(thm),theory(equality)],[239,1]),
[iquote('0:SpR:239.0,1.0')] ).
cnf(329,plain,
equal(divide(divide(inverse(divide(u,v)),w),divide(divide(x,inverse(divide(divide(divide(y,y),x),u))),w)),v),
inference(spr,[status(thm),theory(equality)],[239]),
[iquote('0:SpR:239.0,239.0')] ).
cnf(336,plain,
equal(divide(divide(inverse(divide(divide(divide(u,u),v),w)),inverse(x)),multiply(v,x)),w),
inference(spr,[status(thm),theory(equality)],[2,239]),
[iquote('0:SpR:2.0,239.0')] ).
cnf(343,plain,
equal(divide(divide(inverse(divide(divide(multiply(inverse(u),u),v),w)),x),divide(v,x)),w),
inference(spr,[status(thm),theory(equality)],[2,239]),
[iquote('0:SpR:2.0,239.0')] ).
cnf(345,plain,
equal(divide(divide(inverse(divide(multiply(divide(u,u),v),w)),x),divide(inverse(v),x)),w),
inference(spr,[status(thm),theory(equality)],[2,239]),
[iquote('0:SpR:2.0,239.0')] ).
cnf(346,plain,
equal(divide(divide(inverse(multiply(divide(divide(u,u),v),w)),x),divide(v,x)),inverse(w)),
inference(spr,[status(thm),theory(equality)],[2,239]),
[iquote('0:SpR:2.0,239.0')] ).
cnf(351,plain,
equal(divide(multiply(inverse(divide(divide(divide(u,u),v),w)),x),multiply(v,x)),w),
inference(rew,[status(thm),theory(equality)],[2,336]),
[iquote('0:Rew:2.0,336.0')] ).
cnf(353,plain,
equal(divide(divide(inverse(divide(u,v)),w),divide(multiply(x,divide(divide(divide(y,y),x),u)),w)),v),
inference(rew,[status(thm),theory(equality)],[2,329]),
[iquote('0:Rew:2.0,329.0')] ).
cnf(355,plain,
equal(divide(inverse(divide(u,divide(v,divide(multiply(w,divide(divide(divide(x,x),w),u)),y)))),y),v),
inference(rew,[status(thm),theory(equality)],[2,326]),
[iquote('0:Rew:2.0,326.0')] ).
cnf(366,plain,
equal(inverse(divide(divide(divide(u,u),v),w)),inverse(divide(divide(divide(x,x),v),w))),
inference(rew,[status(thm),theory(equality)],[1,324]),
[iquote('0:Rew:1.0,324.0')] ).
cnf(385,plain,
equal(inverse(divide(divide(divide(u,u),v),divide(divide(w,x),divide(v,x)))),w),
inference(spr,[status(thm),theory(equality)],[1,212]),
[iquote('0:SpR:1.0,212.0')] ).
cnf(455,plain,
equal(divide(multiply(inverse(divide(divide(multiply(inverse(u),u),v),w)),x),multiply(v,x)),w),
inference(spr,[status(thm),theory(equality)],[2,351]),
[iquote('0:SpR:2.0,351.0')] ).
cnf(457,plain,
equal(divide(multiply(inverse(divide(multiply(divide(u,u),v),w)),x),multiply(inverse(v),x)),w),
inference(spr,[status(thm),theory(equality)],[2,351]),
[iquote('0:SpR:2.0,351.0')] ).
cnf(458,plain,
equal(divide(multiply(inverse(divide(u,v)),w),multiply(divide(x,inverse(divide(divide(divide(y,y),x),u))),w)),v),
inference(spr,[status(thm),theory(equality)],[239,351]),
[iquote('0:SpR:239.0,351.0')] ).
cnf(459,plain,
equal(divide(multiply(inverse(multiply(divide(divide(u,u),v),w)),x),multiply(v,x)),inverse(w)),
inference(spr,[status(thm),theory(equality)],[2,351]),
[iquote('0:SpR:2.0,351.0')] ).
cnf(462,plain,
equal(divide(multiply(inverse(divide(u,v)),w),multiply(multiply(x,divide(divide(divide(y,y),x),u)),w)),v),
inference(rew,[status(thm),theory(equality)],[2,458]),
[iquote('0:Rew:2.0,458.0')] ).
cnf(479,plain,
equal(inverse(divide(divide(divide(u,u),v),divide(divide(divide(w,x),divide(y,x)),divide(v,divide(y,z))))),divide(w,z)),
inference(spr,[status(thm),theory(equality)],[385,8]),
[iquote('0:SpR:385.0,8.0')] ).
cnf(480,plain,
equal(divide(divide(u,v),divide(w,v)),divide(divide(u,x),divide(w,x))),
inference(spr,[status(thm),theory(equality)],[385,239]),
[iquote('0:SpR:385.0,239.0')] ).
cnf(481,plain,
equal(divide(multiply(u,v),multiply(w,v)),divide(divide(u,x),divide(w,x))),
inference(spr,[status(thm),theory(equality)],[385,351]),
[iquote('0:SpR:385.0,351.0')] ).
cnf(486,plain,
equal(inverse(divide(divide(divide(u,u),v),divide(divide(w,inverse(x)),multiply(v,x)))),w),
inference(spr,[status(thm),theory(equality)],[2,385]),
[iquote('0:SpR:2.0,385.0')] ).
cnf(505,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),v),divide(divide(w,x),divide(v,x)))),w),
inference(spr,[status(thm),theory(equality)],[2,385]),
[iquote('0:SpR:2.0,385.0')] ).
cnf(507,plain,
equal(inverse(divide(multiply(divide(u,u),v),divide(divide(w,x),divide(inverse(v),x)))),w),
inference(spr,[status(thm),theory(equality)],[2,385]),
[iquote('0:SpR:2.0,385.0')] ).
cnf(509,plain,
equal(inverse(divide(divide(divide(u,u),v),divide(multiply(w,x),multiply(v,x)))),w),
inference(rew,[status(thm),theory(equality)],[2,486]),
[iquote('0:Rew:2.0,486.0')] ).
cnf(614,plain,
equal(divide(multiply(inverse(divide(divide(divide(u,u),v),divide(w,v))),x),multiply(y,x)),divide(w,y)),
inference(spr,[status(thm),theory(equality)],[480,351]),
[iquote('0:SpR:480.0,351.0')] ).
cnf(733,plain,
equal(divide(multiply(divide(u,v),w),multiply(x,w)),divide(divide(multiply(u,y),multiply(z,y)),divide(x,divide(z,v)))),
inference(spr,[status(thm),theory(equality)],[481]),
[iquote('0:SpR:481.0,481.0')] ).
cnf(758,plain,
equal(divide(multiply(u,v),multiply(w,v)),divide(multiply(u,x),multiply(w,x))),
inference(spr,[status(thm),theory(equality)],[481]),
[iquote('0:SpR:481.0,481.0')] ).
cnf(767,plain,
equal(divide(divide(u,v),divide(inverse(divide(divide(multiply(inverse(w),w),x),divide(y,multiply(x,z)))),v)),divide(multiply(u,z),y)),
inference(spr,[status(thm),theory(equality)],[18,481]),
[iquote('0:SpR:18.0,481.0')] ).
cnf(771,plain,
equal(divide(divide(inverse(divide(divide(divide(u,u),v),divide(w,multiply(v,x)))),y),divide(z,y)),divide(w,multiply(z,x))),
inference(spr,[status(thm),theory(equality)],[12,481]),
[iquote('0:SpR:12.0,481.0')] ).
cnf(777,plain,
equal(divide(multiply(u,v),multiply(inverse(divide(divide(divide(w,w),x),divide(y,divide(x,z)))),v)),divide(divide(u,z),y)),
inference(spr,[status(thm),theory(equality)],[1,481]),
[iquote('0:SpR:1.0,481.0')] ).
cnf(779,plain,
equal(divide(multiply(u,v),multiply(inverse(divide(multiply(divide(w,w),x),divide(y,divide(inverse(x),z)))),v)),divide(divide(u,z),y)),
inference(spr,[status(thm),theory(equality)],[11,481]),
[iquote('0:SpR:11.0,481.0')] ).
cnf(782,plain,
equal(divide(multiply(u,v),multiply(divide(inverse(divide(divide(divide(w,w),x),y)),z),v)),divide(divide(u,divide(x,z)),y)),
inference(spr,[status(thm),theory(equality)],[239,481]),
[iquote('0:SpR:239.0,481.0')] ).
cnf(788,plain,
equal(divide(multiply(inverse(divide(divide(divide(u,u),v),divide(w,divide(v,x)))),y),multiply(z,y)),divide(w,divide(z,x))),
inference(spr,[status(thm),theory(equality)],[1,481]),
[iquote('0:SpR:1.0,481.0')] ).
cnf(1086,plain,
equal(divide(multiply(multiply(u,v),w),multiply(x,w)),divide(divide(multiply(u,y),multiply(z,y)),divide(x,multiply(z,v)))),
inference(spr,[status(thm),theory(equality)],[758,481]),
[iquote('0:SpR:758.0,481.0')] ).
cnf(1117,plain,
equal(divide(multiply(u,v),multiply(inverse(divide(divide(divide(w,w),x),divide(y,multiply(x,z)))),v)),divide(multiply(u,z),y)),
inference(spr,[status(thm),theory(equality)],[12,758]),
[iquote('0:SpR:12.0,758.0')] ).
cnf(1122,plain,
equal(divide(multiply(inverse(divide(divide(divide(u,u),v),divide(w,multiply(v,x)))),y),multiply(z,y)),divide(w,multiply(z,x))),
inference(spr,[status(thm),theory(equality)],[12,758]),
[iquote('0:SpR:12.0,758.0')] ).
cnf(1129,plain,
equal(multiply(u,divide(divide(divide(v,v),w),divide(multiply(x,y),multiply(w,y)))),divide(u,x)),
inference(spr,[status(thm),theory(equality)],[509,2]),
[iquote('0:SpR:509.0,2.0')] ).
cnf(1150,plain,
equal(inverse(divide(divide(divide(u,u),v),divide(w,multiply(v,x)))),inverse(divide(divide(divide(y,y),z),divide(w,multiply(z,x))))),
inference(spr,[status(thm),theory(equality)],[12,509]),
[iquote('0:SpR:12.0,509.0')] ).
cnf(1159,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),v),divide(multiply(w,x),multiply(v,x)))),w),
inference(spr,[status(thm),theory(equality)],[2,509]),
[iquote('0:SpR:2.0,509.0')] ).
cnf(1218,plain,
equal(divide(multiply(u,v),multiply(divide(inverse(divide(divide(multiply(inverse(w),w),x),y)),z),v)),divide(divide(u,divide(x,z)),y)),
inference(spr,[status(thm),theory(equality)],[343,481]),
[iquote('0:SpR:343.0,481.0')] ).
cnf(1231,plain,
equal(inverse(divide(divide(divide(u,u),v),w)),inverse(divide(divide(multiply(inverse(x),x),v),w))),
inference(spr,[status(thm),theory(equality)],[343,385]),
[iquote('0:SpR:343.0,385.0')] ).
cnf(1259,plain,
equal(divide(divide(inverse(divide(multiply(multiply(inverse(u),u),v),w)),x),divide(inverse(v),x)),w),
inference(spr,[status(thm),theory(equality)],[2,343]),
[iquote('0:SpR:2.0,343.0')] ).
cnf(1307,plain,
equal(divide(multiply(divide(inverse(divide(multiply(divide(u,u),v),w)),x),y),multiply(z,y)),divide(w,divide(z,divide(inverse(v),x)))),
inference(spr,[status(thm),theory(equality)],[345,481]),
[iquote('0:SpR:345.0,481.0')] ).
cnf(1359,plain,
equal(divide(divide(inverse(multiply(multiply(divide(u,u),v),w)),x),divide(inverse(v),x)),inverse(w)),
inference(spr,[status(thm),theory(equality)],[2,345]),
[iquote('0:SpR:2.0,345.0')] ).
cnf(1457,plain,
equal(multiply(inverse(multiply(divide(divide(u,u),v),w)),x),inverse(divide(divide(divide(y,y),z),divide(inverse(w),divide(z,multiply(v,x)))))),
inference(spr,[status(thm),theory(equality)],[2,17]),
[iquote('0:SpR:2.0,17.0')] ).
cnf(1584,plain,
equal(divide(multiply(u,v),multiply(divide(inverse(multiply(divide(divide(w,w),x),y)),z),v)),divide(divide(u,divide(x,z)),inverse(y))),
inference(spr,[status(thm),theory(equality)],[346,481]),
[iquote('0:SpR:346.0,481.0')] ).
cnf(1609,plain,
equal(divide(divide(inverse(multiply(divide(divide(u,u),inverse(divide(divide(divide(v,v),w),divide(x,divide(w,y))))),z)),y),x),inverse(z)),
inference(spr,[status(thm),theory(equality)],[1,346]),
[iquote('0:SpR:1.0,346.0')] ).
cnf(1663,plain,
equal(divide(multiply(u,v),multiply(divide(inverse(multiply(divide(divide(w,w),x),y)),z),v)),multiply(divide(u,divide(x,z)),y)),
inference(rew,[status(thm),theory(equality)],[2,1584]),
[iquote('0:Rew:2.0,1584.0')] ).
cnf(1665,plain,
equal(divide(divide(inverse(multiply(multiply(divide(u,u),divide(divide(divide(v,v),w),divide(x,divide(w,y)))),z)),y),x),inverse(z)),
inference(rew,[status(thm),theory(equality)],[2,1609]),
[iquote('0:Rew:2.0,1609.0')] ).
cnf(1723,plain,
equal(divide(u,inverse(divide(divide(divide(v,v),w),x))),multiply(u,divide(divide(divide(y,y),w),x))),
inference(spr,[status(thm),theory(equality)],[366,2]),
[iquote('0:SpR:366.0,2.0')] ).
cnf(1781,plain,
equal(inverse(divide(divide(divide(u,u),divide(v,inverse(divide(divide(divide(w,w),v),x)))),y)),inverse(divide(x,y))),
inference(spr,[status(thm),theory(equality)],[239,366]),
[iquote('0:SpR:239.0,366.0')] ).
cnf(1784,plain,
equal(inverse(divide(divide(divide(u,u),divide(v,w)),x)),inverse(divide(divide(multiply(w,y),multiply(v,y)),x))),
inference(spr,[status(thm),theory(equality)],[481,366]),
[iquote('0:SpR:481.0,366.0')] ).
cnf(1796,plain,
equal(multiply(u,divide(divide(divide(v,v),w),x)),multiply(u,divide(divide(divide(y,y),w),x))),
inference(rew,[status(thm),theory(equality)],[2,1723]),
[iquote('0:Rew:2.0,1723.0')] ).
cnf(1798,plain,
equal(inverse(divide(divide(divide(u,u),multiply(v,divide(divide(divide(w,w),v),x))),y)),inverse(divide(x,y))),
inference(rew,[status(thm),theory(equality)],[2,1781]),
[iquote('0:Rew:2.0,1781.0')] ).
cnf(1826,plain,
equal(divide(divide(multiply(inverse(divide(divide(multiply(inverse(u),u),v),w)),x),y),divide(z,y)),divide(w,divide(z,multiply(v,x)))),
inference(spr,[status(thm),theory(equality)],[455,480]),
[iquote('0:SpR:455.0,480.0')] ).
cnf(1835,plain,
equal(divide(multiply(u,v),multiply(multiply(inverse(divide(divide(multiply(inverse(w),w),x),y)),z),v)),divide(divide(u,multiply(x,z)),y)),
inference(spr,[status(thm),theory(equality)],[455,481]),
[iquote('0:SpR:455.0,481.0')] ).
cnf(1861,plain,
equal(divide(multiply(inverse(divide(multiply(multiply(inverse(u),u),v),w)),x),multiply(inverse(v),x)),w),
inference(spr,[status(thm),theory(equality)],[2,455]),
[iquote('0:SpR:2.0,455.0')] ).
cnf(1935,plain,
equal(divide(multiply(inverse(multiply(multiply(divide(u,u),v),w)),x),multiply(inverse(v),x)),inverse(w)),
inference(spr,[status(thm),theory(equality)],[2,457]),
[iquote('0:SpR:2.0,457.0')] ).
cnf(2190,plain,
equal(divide(multiply(inverse(multiply(u,v)),w),multiply(divide(inverse(x),inverse(divide(multiply(divide(y,y),x),u))),w)),inverse(v)),
inference(spr,[status(thm),theory(equality)],[345,459]),
[iquote('0:SpR:345.0,459.0')] ).
cnf(2195,plain,
equal(divide(multiply(inverse(multiply(u,v)),w),multiply(multiply(inverse(x),divide(multiply(divide(y,y),x),u)),w)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[2,2190]),
[iquote('0:Rew:2.0,2190.0')] ).
cnf(2284,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),v),divide(divide(divide(w,x),divide(y,x)),divide(v,divide(y,z))))),divide(w,z)),
inference(spr,[status(thm),theory(equality)],[480,505]),
[iquote('0:SpR:480.0,505.0')] ).
cnf(2287,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),v),divide(divide(divide(w,x),divide(y,x)),divide(v,multiply(y,z))))),multiply(w,z)),
inference(spr,[status(thm),theory(equality)],[481,505]),
[iquote('0:SpR:481.0,505.0')] ).
cnf(2299,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),inverse(v)),w)),inverse(divide(multiply(divide(x,x),v),w))),
inference(spr,[status(thm),theory(equality)],[345,505]),
[iquote('0:SpR:345.0,505.0')] ).
cnf(2321,plain,
equal(inverse(divide(multiply(multiply(inverse(u),u),v),w)),inverse(divide(multiply(divide(x,x),v),w))),
inference(rew,[status(thm),theory(equality)],[2,2299]),
[iquote('0:Rew:2.0,2299.0')] ).
cnf(2414,plain,
equal(inverse(divide(multiply(divide(u,u),v),inverse(w))),inverse(multiply(divide(divide(x,x),inverse(v)),w))),
inference(spr,[status(thm),theory(equality)],[346,507]),
[iquote('0:SpR:346.0,507.0')] ).
cnf(2433,plain,
equal(inverse(multiply(multiply(divide(u,u),v),w)),inverse(multiply(multiply(divide(x,x),v),w))),
inference(rew,[status(thm),theory(equality)],[2,2414]),
[iquote('0:Rew:2.0,2414.0,2.0,2414.0')] ).
cnf(3058,plain,
equal(divide(u,inverse(multiply(multiply(divide(v,v),w),x))),multiply(u,multiply(multiply(divide(y,y),w),x))),
inference(spr,[status(thm),theory(equality)],[2433,2]),
[iquote('0:SpR:2433.0,2.0')] ).
cnf(3099,plain,
equal(multiply(u,multiply(multiply(divide(v,v),w),x)),multiply(u,multiply(multiply(divide(y,y),w),x))),
inference(rew,[status(thm),theory(equality)],[2,3058]),
[iquote('0:Rew:2.0,3058.0')] ).
cnf(3383,plain,
equal(inverse(divide(divide(multiply(u,v),multiply(w,v)),x)),inverse(divide(divide(multiply(inverse(y),y),divide(w,u)),x))),
inference(spr,[status(thm),theory(equality)],[481,1231]),
[iquote('0:SpR:481.0,1231.0')] ).
cnf(3553,plain,
equal(divide(divide(inverse(multiply(multiply(multiply(inverse(u),u),v),w)),x),divide(inverse(v),x)),inverse(w)),
inference(spr,[status(thm),theory(equality)],[2,1259]),
[iquote('0:SpR:2.0,1259.0')] ).
cnf(4301,plain,
equal(divide(multiply(inverse(multiply(multiply(multiply(inverse(u),u),v),w)),x),multiply(inverse(v),x)),inverse(w)),
inference(spr,[status(thm),theory(equality)],[2,1861]),
[iquote('0:SpR:2.0,1861.0')] ).
cnf(4485,plain,
equal(inverse(divide(multiply(divide(u,u),v),divide(inverse(w),divide(inverse(v),multiply(inverse(x),y))))),multiply(inverse(multiply(multiply(divide(z,z),x),w)),y)),
inference(spr,[status(thm),theory(equality)],[1935,507]),
[iquote('0:SpR:1935.0,507.0')] ).
cnf(8587,plain,
equal(multiply(u,divide(inverse(v),divide(multiply(w,x),multiply(divide(inverse(y),inverse(multiply(multiply(multiply(inverse(z),z),y),v))),x)))),divide(u,w)),
inference(spr,[status(thm),theory(equality)],[3553,1129]),
[iquote('0:SpR:3553.0,1129.0')] ).
cnf(8604,plain,
equal(multiply(u,divide(inverse(v),divide(multiply(w,x),multiply(multiply(inverse(y),multiply(multiply(multiply(inverse(z),z),y),v)),x)))),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[2,8587]),
[iquote('0:Rew:2.0,8587.0')] ).
cnf(9456,plain,
equal(multiply(u,divide(divide(divide(v,v),divide(w,inverse(divide(divide(divide(x,x),w),y)))),z)),multiply(u,divide(y,z))),
inference(spr,[status(thm),theory(equality)],[239,1796]),
[iquote('0:SpR:239.0,1796.0')] ).
cnf(9460,plain,
equal(multiply(u,divide(divide(divide(v,v),divide(w,x)),y)),multiply(u,divide(divide(multiply(x,z),multiply(w,z)),y))),
inference(spr,[status(thm),theory(equality)],[481,1796]),
[iquote('0:SpR:481.0,1796.0')] ).
cnf(9475,plain,
equal(multiply(u,divide(divide(divide(v,v),multiply(w,divide(divide(divide(x,x),w),y))),z)),multiply(u,divide(y,z))),
inference(rew,[status(thm),theory(equality)],[2,9456]),
[iquote('0:Rew:2.0,9456.0')] ).
cnf(11294,plain,
equal(divide(inverse(divide(divide(divide(u,u),multiply(v,divide(divide(divide(w,w),v),x))),y)),z),inverse(divide(divide(divide(x1,x1),divide(inverse(divide(x,x2)),z)),divide(y,x2)))),
inference(spr,[status(thm),theory(equality)],[353,8]),
[iquote('0:SpR:353.0,8.0')] ).
cnf(11521,plain,
equal(inverse(divide(divide(divide(u,u),divide(inverse(divide(v,w)),x)),divide(y,w))),divide(inverse(divide(v,y)),x)),
inference(rew,[status(thm),theory(equality)],[1798,11294]),
[iquote('0:Rew:1798.0,11294.0')] ).
cnf(11855,plain,
equal(multiply(inverse(divide(multiply(divide(u,u),v),w)),x),inverse(divide(y,divide(w,divide(multiply(z,divide(divide(divide(x1,x1),z),y)),multiply(inverse(v),x)))))),
inference(spr,[status(thm),theory(equality)],[355,19]),
[iquote('0:SpR:355.0,19.0')] ).
cnf(12251,plain,
equal(divide(multiply(inverse(inverse(u)),v),multiply(multiply(w,divide(divide(divide(x,x),w),multiply(inverse(multiply(multiply(multiply(inverse(y),y),z),u)),x1))),v)),multiply(inverse(z),x1)),
inference(spr,[status(thm),theory(equality)],[4301,462]),
[iquote('0:SpR:4301.0,462.0')] ).
cnf(13293,plain,
equal(divide(u,multiply(v,divide(divide(divide(w,w),v),divide(divide(x,x),y)))),divide(u,y)),
inference(spr,[status(thm),theory(equality)],[614,462]),
[iquote('0:SpR:614.0,462.0')] ).
cnf(13710,plain,
equal(divide(multiply(inverse(divide(divide(divide(u,u),v),w)),x),multiply(v,x)),multiply(y,divide(divide(divide(z,z),y),divide(divide(x1,x1),w)))),
inference(spr,[status(thm),theory(equality)],[13293,351]),
[iquote('0:SpR:13293.0,351.0')] ).
cnf(13948,plain,
equal(multiply(u,divide(divide(divide(v,v),u),divide(divide(w,w),x))),x),
inference(rew,[status(thm),theory(equality)],[351,13710]),
[iquote('0:Rew:351.0,13710.0')] ).
cnf(14212,plain,
equal(divide(multiply(inverse(divide(u,v)),w),multiply(inverse(divide(divide(divide(x,x),divide(y,y)),divide(divide(z,z),u))),w)),v),
inference(spr,[status(thm),theory(equality)],[13948,457]),
[iquote('0:SpR:13948.0,457.0')] ).
cnf(14268,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),divide(w,divide(x,x)))),v),w),
inference(spr,[status(thm),theory(equality)],[13948,14]),
[iquote('0:SpR:13948.0,14.0')] ).
cnf(14270,plain,
equal(divide(divide(inverse(u),v),divide(w,v)),inverse(divide(divide(divide(x,x),divide(divide(y,y),w)),divide(divide(z,z),u)))),
inference(spr,[status(thm),theory(equality)],[13948,346]),
[iquote('0:SpR:13948.0,346.0')] ).
cnf(14271,plain,
equal(divide(multiply(inverse(u),v),multiply(w,v)),inverse(divide(divide(divide(x,x),divide(divide(y,y),w)),divide(divide(z,z),u)))),
inference(spr,[status(thm),theory(equality)],[13948,459]),
[iquote('0:SpR:13948.0,459.0')] ).
cnf(14284,plain,
equal(multiply(u,multiply(multiply(divide(v,v),divide(divide(divide(w,w),divide(x,x)),divide(divide(y,y),z))),x1)),multiply(u,multiply(z,x1))),
inference(spr,[status(thm),theory(equality)],[13948,3099]),
[iquote('0:SpR:13948.0,3099.0')] ).
cnf(14287,plain,
equal(inverse(multiply(multiply(divide(u,u),divide(divide(divide(v,v),divide(w,w)),divide(divide(x,x),y))),z)),inverse(multiply(y,z))),
inference(spr,[status(thm),theory(equality)],[13948,2433]),
[iquote('0:SpR:13948.0,2433.0')] ).
cnf(14296,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),v),divide(w,multiply(v,divide(divide(divide(x,x),y),divide(divide(z,z),w)))))),y),
inference(spr,[status(thm),theory(equality)],[13948,1159]),
[iquote('0:SpR:13948.0,1159.0')] ).
cnf(14345,plain,
equal(multiply(u,divide(divide(divide(v,v),u),divide(multiply(w,x),multiply(y,x)))),divide(y,w)),
inference(spr,[status(thm),theory(equality)],[481,13948]),
[iquote('0:SpR:481.0,13948.0')] ).
cnf(14347,plain,
equal(multiply(u,divide(divide(divide(v,v),u),w)),divide(inverse(x),inverse(divide(multiply(divide(y,y),x),w)))),
inference(spr,[status(thm),theory(equality)],[345,13948]),
[iquote('0:SpR:345.0,13948.0')] ).
cnf(14349,plain,
equal(multiply(u,divide(divide(divide(v,v),u),inverse(w))),divide(inverse(x),inverse(multiply(multiply(divide(y,y),x),w)))),
inference(spr,[status(thm),theory(equality)],[1359,13948]),
[iquote('0:SpR:1359.0,13948.0')] ).
cnf(14350,plain,
equal(multiply(u,divide(divide(divide(v,v),u),inverse(w))),divide(inverse(x),inverse(multiply(multiply(multiply(inverse(y),y),x),w)))),
inference(spr,[status(thm),theory(equality)],[3553,13948]),
[iquote('0:SpR:3553.0,13948.0')] ).
cnf(14367,plain,
equal(multiply(inverse(u),divide(multiply(divide(v,v),u),divide(divide(w,w),x))),x),
inference(spr,[status(thm),theory(equality)],[2,13948]),
[iquote('0:SpR:2.0,13948.0')] ).
cnf(14380,plain,
equal(multiply(u,divide(multiply(divide(v,v),w),multiply(divide(x,x),w))),u),
inference(spr,[status(thm),theory(equality)],[481,13948]),
[iquote('0:SpR:481.0,13948.0')] ).
cnf(14406,plain,
equal(multiply(u,divide(divide(divide(v,v),u),w)),multiply(inverse(x),divide(multiply(divide(y,y),x),w))),
inference(rew,[status(thm),theory(equality)],[2,14347]),
[iquote('0:Rew:2.0,14347.0')] ).
cnf(14415,plain,
equal(multiply(u,multiply(divide(divide(v,v),u),w)),multiply(inverse(x),multiply(multiply(divide(y,y),x),w))),
inference(rew,[status(thm),theory(equality)],[2,14349]),
[iquote('0:Rew:2.0,14349.0,2.0,14349.0')] ).
cnf(14420,plain,
equal(multiply(u,multiply(divide(divide(v,v),u),w)),multiply(inverse(x),multiply(multiply(multiply(inverse(y),y),x),w))),
inference(rew,[status(thm),theory(equality)],[2,14350]),
[iquote('0:Rew:2.0,14350.0,2.0,14350.0')] ).
cnf(15290,plain,
equal(divide(multiply(u,v),multiply(w,v)),divide(multiply(u,divide(multiply(divide(x,x),y),multiply(divide(z,z),y))),w)),
inference(spr,[status(thm),theory(equality)],[14380,758]),
[iquote('0:SpR:14380.0,758.0')] ).
cnf(15301,plain,
equal(divide(multiply(inverse(multiply(divide(u,u),v)),w),multiply(inverse(v),w)),inverse(divide(multiply(divide(x,x),y),multiply(divide(z,z),y)))),
inference(spr,[status(thm),theory(equality)],[14380,1935]),
[iquote('0:SpR:14380.0,1935.0')] ).
cnf(15315,plain,
equal(multiply(u,divide(multiply(divide(v,v),w),multiply(multiply(inverse(x),x),w))),u),
inference(spr,[status(thm),theory(equality)],[2,14380]),
[iquote('0:SpR:2.0,14380.0')] ).
cnf(15371,plain,
equal(divide(multiply(u,v),multiply(w,v)),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[14380,15290]),
[iquote('0:Rew:14380.0,15290.0')] ).
cnf(15386,plain,
equal(multiply(u,divide(divide(divide(v,v),w),divide(x,w))),divide(u,x)),
inference(rew,[status(thm),theory(equality)],[15371,1129]),
[iquote('0:Rew:15371.0,1129.0')] ).
cnf(15388,plain,
equal(divide(divide(u,v),divide(w,v)),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[15371,481]),
[iquote('0:Rew:15371.0,481.0')] ).
cnf(15389,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),w)),v),w),
inference(rew,[status(thm),theory(equality)],[15371,351]),
[iquote('0:Rew:15371.0,351.0')] ).
cnf(15391,plain,
equal(multiply(u,divide(divide(v,v),multiply(inverse(w),w))),u),
inference(rew,[status(thm),theory(equality)],[15371,15315]),
[iquote('0:Rew:15371.0,15315.0')] ).
cnf(15396,plain,
equal(divide(inverse(divide(u,v)),inverse(divide(divide(divide(w,w),divide(x,x)),divide(divide(y,y),u)))),v),
inference(rew,[status(thm),theory(equality)],[15371,14212]),
[iquote('0:Rew:15371.0,14212.0')] ).
cnf(15456,plain,
equal(inverse(divide(divide(divide(u,u),divide(v,w)),x)),inverse(divide(divide(w,v),x))),
inference(rew,[status(thm),theory(equality)],[15371,1784]),
[iquote('0:Rew:15371.0,1784.0')] ).
cnf(15546,plain,
equal(divide(inverse(inverse(u)),multiply(v,divide(divide(divide(w,w),v),multiply(inverse(multiply(multiply(multiply(inverse(x),x),y),u)),z)))),multiply(inverse(y),z)),
inference(rew,[status(thm),theory(equality)],[15371,12251]),
[iquote('0:Rew:15371.0,12251.0')] ).
cnf(15592,plain,
equal(multiply(u,divide(inverse(v),divide(w,multiply(inverse(x),multiply(multiply(multiply(inverse(y),y),x),v))))),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[15371,8604]),
[iquote('0:Rew:15371.0,8604.0')] ).
cnf(15614,plain,
equal(divide(u,multiply(inverse(divide(divide(multiply(inverse(v),v),w),x)),y)),divide(divide(u,multiply(w,y)),x)),
inference(rew,[status(thm),theory(equality)],[15371,1835]),
[iquote('0:Rew:15371.0,1835.0')] ).
cnf(15631,plain,
equal(divide(inverse(multiply(u,v)),multiply(inverse(w),divide(multiply(divide(x,x),w),u))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[15371,2195]),
[iquote('0:Rew:15371.0,2195.0')] ).
cnf(15753,plain,
equal(multiply(u,divide(divide(divide(v,v),divide(w,x)),y)),multiply(u,divide(divide(x,w),y))),
inference(rew,[status(thm),theory(equality)],[15371,9460]),
[iquote('0:Rew:15371.0,9460.0')] ).
cnf(15932,plain,
equal(multiply(u,divide(divide(divide(v,v),u),divide(w,x))),divide(x,w)),
inference(rew,[status(thm),theory(equality)],[15371,14345]),
[iquote('0:Rew:15371.0,14345.0')] ).
cnf(15943,plain,
equal(divide(divide(inverse(divide(multiply(divide(u,u),v),w)),x),y),divide(w,divide(y,divide(inverse(v),x)))),
inference(rew,[status(thm),theory(equality)],[15371,1307]),
[iquote('0:Rew:15371.0,1307.0')] ).
cnf(15952,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),divide(w,multiply(v,x)))),y),divide(w,multiply(y,x))),
inference(rew,[status(thm),theory(equality)],[15371,1122]),
[iquote('0:Rew:15371.0,1122.0')] ).
cnf(15956,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),divide(w,divide(v,x)))),y),divide(w,divide(y,x))),
inference(rew,[status(thm),theory(equality)],[15371,788]),
[iquote('0:Rew:15371.0,788.0')] ).
cnf(15958,plain,
equal(divide(multiply(divide(u,v),w),multiply(x,w)),divide(divide(u,y),divide(x,divide(y,v)))),
inference(rew,[status(thm),theory(equality)],[15371,733]),
[iquote('0:Rew:15371.0,733.0')] ).
cnf(15960,plain,
equal(divide(multiply(multiply(u,v),w),multiply(x,w)),divide(divide(u,y),divide(x,multiply(y,v)))),
inference(rew,[status(thm),theory(equality)],[15371,1086]),
[iquote('0:Rew:15371.0,1086.0')] ).
cnf(15981,plain,
equal(inverse(divide(divide(divide(u,u),divide(divide(v,v),w)),divide(divide(x,x),y))),divide(inverse(y),w)),
inference(rew,[status(thm),theory(equality)],[15371,14271]),
[iquote('0:Rew:15371.0,14271.0')] ).
cnf(16004,plain,
equal(divide(u,inverse(divide(divide(divide(v,v),w),divide(x,multiply(w,y))))),divide(multiply(u,y),x)),
inference(rew,[status(thm),theory(equality)],[15371,1117]),
[iquote('0:Rew:15371.0,1117.0')] ).
cnf(16006,plain,
equal(divide(u,inverse(divide(multiply(divide(v,v),w),divide(x,divide(inverse(w),y))))),divide(divide(u,y),x)),
inference(rew,[status(thm),theory(equality)],[15371,779]),
[iquote('0:Rew:15371.0,779.0')] ).
cnf(16008,plain,
equal(divide(u,inverse(divide(divide(divide(v,v),w),divide(x,divide(w,y))))),divide(divide(u,y),x)),
inference(rew,[status(thm),theory(equality)],[15371,777]),
[iquote('0:Rew:15371.0,777.0')] ).
cnf(16015,plain,
equal(divide(u,divide(inverse(multiply(divide(divide(v,v),w),x)),y)),multiply(divide(u,divide(w,y)),x)),
inference(rew,[status(thm),theory(equality)],[15371,1663]),
[iquote('0:Rew:15371.0,1663.0')] ).
cnf(16018,plain,
equal(divide(u,divide(inverse(divide(divide(multiply(inverse(v),v),w),x)),y)),divide(divide(u,divide(w,y)),x)),
inference(rew,[status(thm),theory(equality)],[15371,1218]),
[iquote('0:Rew:15371.0,1218.0')] ).
cnf(16019,plain,
equal(divide(u,divide(inverse(divide(divide(divide(v,v),w),x)),y)),divide(divide(u,divide(w,y)),x)),
inference(rew,[status(thm),theory(equality)],[15371,782]),
[iquote('0:Rew:15371.0,782.0')] ).
cnf(16090,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),divide(v,w)),x)),inverse(divide(divide(w,v),x))),
inference(rew,[status(thm),theory(equality)],[15371,3383]),
[iquote('0:Rew:15371.0,3383.0')] ).
cnf(16281,plain,
equal(divide(multiply(inverse(divide(divide(multiply(inverse(u),u),v),w)),x),y),divide(w,divide(y,multiply(v,x)))),
inference(rew,[status(thm),theory(equality)],[15388,1826]),
[iquote('0:Rew:15388.0,1826.0')] ).
cnf(16304,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),divide(w,multiply(v,x)))),y),divide(w,multiply(y,x))),
inference(rew,[status(thm),theory(equality)],[15388,771]),
[iquote('0:Rew:15388.0,771.0')] ).
cnf(16663,plain,
equal(divide(u,inverse(divide(divide(multiply(inverse(v),v),w),divide(x,multiply(w,y))))),divide(multiply(u,y),x)),
inference(rew,[status(thm),theory(equality)],[15388,767]),
[iquote('0:Rew:15388.0,767.0')] ).
cnf(16802,plain,
equal(inverse(divide(divide(divide(u,u),v),divide(divide(w,x),divide(v,divide(x,y))))),divide(w,y)),
inference(rew,[status(thm),theory(equality)],[15388,479]),
[iquote('0:Rew:15388.0,479.0')] ).
cnf(16803,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),v),divide(divide(w,x),divide(v,divide(x,y))))),divide(w,y)),
inference(rew,[status(thm),theory(equality)],[15388,2284]),
[iquote('0:Rew:15388.0,2284.0')] ).
cnf(16805,plain,
equal(inverse(divide(divide(multiply(inverse(u),u),v),divide(divide(w,x),divide(v,multiply(x,y))))),multiply(w,y)),
inference(rew,[status(thm),theory(equality)],[15388,2287]),
[iquote('0:Rew:15388.0,2287.0')] ).
cnf(16817,plain,
equal(inverse(divide(divide(divide(u,u),divide(divide(v,v),w)),divide(divide(x,x),y))),divide(inverse(y),w)),
inference(rew,[status(thm),theory(equality)],[15388,14270]),
[iquote('0:Rew:15388.0,14270.0')] ).
cnf(16865,plain,
equal(divide(u,divide(v,v)),u),
inference(rew,[status(thm),theory(equality)],[15389,14268]),
[iquote('0:Rew:15389.0,14268.0')] ).
cnf(16868,plain,
equal(inverse(multiply(multiply(divide(u,u),divide(divide(v,v),divide(divide(w,w),x))),y)),inverse(multiply(x,y))),
inference(rew,[status(thm),theory(equality)],[16865,14287]),
[iquote('0:Rew:16865.0,14287.0')] ).
cnf(16880,plain,
equal(multiply(u,multiply(multiply(divide(v,v),divide(divide(w,w),divide(divide(x,x),y))),z)),multiply(u,multiply(y,z))),
inference(rew,[status(thm),theory(equality)],[16865,14284]),
[iquote('0:Rew:16865.0,14284.0')] ).
cnf(16901,plain,
equal(multiply(u,divide(divide(v,v),w)),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[15388,15386]),
[iquote('0:Rew:15388.0,15386.0')] ).
cnf(16902,plain,
equal(divide(u,multiply(inverse(v),v)),u),
inference(rew,[status(thm),theory(equality)],[16901,15391]),
[iquote('0:Rew:16901.0,15391.0')] ).
cnf(16941,plain,
equal(inverse(divide(divide(u,inverse(divide(v,w))),divide(x,w))),divide(inverse(divide(v,x)),u)),
inference(rew,[status(thm),theory(equality)],[15456,11521]),
[iquote('0:Rew:15456.0,11521.0')] ).
cnf(17120,plain,
equal(inverse(divide(multiply(u,divide(v,w)),divide(x,w))),divide(inverse(divide(v,x)),u)),
inference(rew,[status(thm),theory(equality)],[2,16941]),
[iquote('0:Rew:2.0,16941.0')] ).
cnf(17235,plain,
equal(divide(divide(u,v),divide(w,divide(v,x))),divide(divide(u,x),w)),
inference(rew,[status(thm),theory(equality)],[15371,15958]),
[iquote('0:Rew:15371.0,15958.0')] ).
cnf(17241,plain,
equal(multiply(inverse(divide(divide(divide(u,u),v),w)),x),inverse(divide(divide(divide(y,y),multiply(v,x)),w))),
inference(rew,[status(thm),theory(equality)],[17235,17]),
[iquote('0:Rew:17235.0,17.0')] ).
cnf(17998,plain,
equal(multiply(inverse(multiply(divide(divide(u,u),v),w)),x),inverse(divide(divide(divide(y,y),multiply(v,x)),inverse(w)))),
inference(rew,[status(thm),theory(equality)],[17235,1457]),
[iquote('0:Rew:17235.0,1457.0')] ).
cnf(18668,plain,
equal(divide(divide(inverse(multiply(multiply(divide(u,u),divide(divide(divide(v,v),w),x)),y)),w),x),inverse(y)),
inference(rew,[status(thm),theory(equality)],[17235,1665]),
[iquote('0:Rew:17235.0,1665.0')] ).
cnf(18687,plain,
equal(divide(divide(u,v),divide(w,multiply(v,x))),divide(multiply(u,x),w)),
inference(rew,[status(thm),theory(equality)],[15371,15960]),
[iquote('0:Rew:15371.0,15960.0')] ).
cnf(18746,plain,
equal(inverse(divide(multiply(multiply(inverse(u),u),divide(divide(divide(v,v),w),divide(divide(x,x),y))),y)),w),
inference(rew,[status(thm),theory(equality)],[18687,14296]),
[iquote('0:Rew:18687.0,14296.0')] ).
cnf(18780,plain,
equal(inverse(divide(divide(divide(u,u),v),divide(w,multiply(v,x)))),inverse(divide(multiply(divide(y,y),x),w))),
inference(rew,[status(thm),theory(equality)],[18687,1150]),
[iquote('0:Rew:18687.0,1150.0')] ).
cnf(18918,plain,
equal(divide(inverse(divide(multiply(divide(u,u),v),w)),x),divide(w,multiply(x,v))),
inference(rew,[status(thm),theory(equality)],[18687,15952]),
[iquote('0:Rew:18687.0,15952.0')] ).
cnf(19205,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),w)),x),divide(w,divide(x,v))),
inference(rew,[status(thm),theory(equality)],[17235,15956]),
[iquote('0:Rew:17235.0,15956.0')] ).
cnf(19315,plain,
equal(multiply(u,divide(divide(divide(v,v),w),divide(x,multiply(w,y)))),divide(multiply(u,y),x)),
inference(rew,[status(thm),theory(equality)],[2,16004]),
[iquote('0:Rew:2.0,16004.0')] ).
cnf(19316,plain,
equal(multiply(u,divide(multiply(divide(v,v),w),x)),divide(multiply(u,w),x)),
inference(rew,[status(thm),theory(equality)],[18687,19315]),
[iquote('0:Rew:18687.0,19315.0')] ).
cnf(19387,plain,
equal(divide(multiply(inverse(u),u),divide(divide(v,v),w)),w),
inference(rew,[status(thm),theory(equality)],[19316,14367]),
[iquote('0:Rew:19316.0,14367.0')] ).
cnf(19471,plain,
equal(multiply(u,divide(divide(divide(v,v),u),w)),divide(multiply(inverse(x),x),w)),
inference(rew,[status(thm),theory(equality)],[19316,14406]),
[iquote('0:Rew:19316.0,14406.0')] ).
cnf(19555,plain,
equal(divide(inverse(multiply(u,v)),divide(multiply(inverse(w),w),u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[19316,15631]),
[iquote('0:Rew:19316.0,15631.0')] ).
cnf(19621,plain,
equal(multiply(u,divide(divide(divide(v,v),w),divide(x,divide(w,y)))),divide(divide(u,y),x)),
inference(rew,[status(thm),theory(equality)],[2,16008]),
[iquote('0:Rew:2.0,16008.0')] ).
cnf(19622,plain,
equal(multiply(u,divide(divide(divide(v,v),w),x)),divide(divide(u,w),x)),
inference(rew,[status(thm),theory(equality)],[17235,19621]),
[iquote('0:Rew:17235.0,19621.0')] ).
cnf(19634,plain,
equal(multiply(u,divide(divide(v,w),x)),divide(divide(u,divide(w,v)),x)),
inference(rew,[status(thm),theory(equality)],[19622,15753]),
[iquote('0:Rew:19622.0,15753.0')] ).
cnf(19635,plain,
equal(divide(divide(u,u),divide(v,w)),divide(w,v)),
inference(rew,[status(thm),theory(equality)],[19622,15932]),
[iquote('0:Rew:19622.0,15932.0')] ).
cnf(19641,plain,
equal(divide(divide(u,u),v),divide(multiply(inverse(w),w),v)),
inference(rew,[status(thm),theory(equality)],[19622,19471]),
[iquote('0:Rew:19622.0,19471.0')] ).
cnf(19698,plain,
equal(divide(divide(u,multiply(v,divide(divide(divide(w,w),v),x))),y),multiply(u,divide(x,y))),
inference(rew,[status(thm),theory(equality)],[19622,9475]),
[iquote('0:Rew:19622.0,9475.0')] ).
cnf(19715,plain,
equal(multiply(inverse(divide(multiply(divide(u,u),v),w)),x),inverse(divide(y,divide(w,divide(divide(divide(z,z),y),multiply(inverse(v),x)))))),
inference(rew,[status(thm),theory(equality)],[19622,11855]),
[iquote('0:Rew:19622.0,11855.0')] ).
cnf(19859,plain,
equal(divide(divide(u,divide(divide(v,v),w)),x),multiply(u,divide(w,x))),
inference(rew,[status(thm),theory(equality)],[16865,19698,19634]),
[iquote('0:Rew:16865.0,19698.0,19634.0,19698.0')] ).
cnf(19865,plain,
equal(divide(divide(u,divide(v,w)),x),divide(u,divide(x,divide(w,v)))),
inference(rew,[status(thm),theory(equality)],[19205,16019]),
[iquote('0:Rew:19205.0,16019.0')] ).
cnf(19869,plain,
equal(divide(u,divide(v,divide(w,divide(x,x)))),multiply(u,divide(w,v))),
inference(rew,[status(thm),theory(equality)],[19865,19859]),
[iquote('0:Rew:19865.0,19859.0')] ).
cnf(19871,plain,
equal(inverse(divide(multiply(inverse(u),u),divide(v,divide(w,x)))),inverse(divide(divide(w,x),v))),
inference(rew,[status(thm),theory(equality)],[19865,16090]),
[iquote('0:Rew:19865.0,16090.0')] ).
cnf(19874,plain,
equal(multiply(u,divide(v,w)),divide(u,divide(w,v))),
inference(rew,[status(thm),theory(equality)],[16865,19869]),
[iquote('0:Rew:16865.0,19869.0')] ).
cnf(19894,plain,
equal(inverse(divide(divide(u,divide(v,w)),divide(x,v))),divide(inverse(divide(w,x)),u)),
inference(rew,[status(thm),theory(equality)],[19874,17120]),
[iquote('0:Rew:19874.0,17120.0')] ).
cnf(19897,plain,
equal(divide(u,divide(v,multiply(divide(w,w),x))),divide(multiply(u,x),v)),
inference(rew,[status(thm),theory(equality)],[19874,19316]),
[iquote('0:Rew:19874.0,19316.0')] ).
cnf(19916,plain,
equal(divide(inverse(divide(u,v)),w),inverse(divide(w,divide(v,u)))),
inference(rew,[status(thm),theory(equality)],[15388,19894,19865]),
[iquote('0:Rew:15388.0,19894.0,19865.0,19894.0')] ).
cnf(19931,plain,
equal(inverse(divide(u,divide(v,multiply(divide(w,w),x)))),divide(v,multiply(u,x))),
inference(rew,[status(thm),theory(equality)],[19916,18918]),
[iquote('0:Rew:19916.0,18918.0')] ).
cnf(19956,plain,
equal(inverse(divide(multiply(u,v),w)),divide(w,multiply(u,v))),
inference(rew,[status(thm),theory(equality)],[19897,19931]),
[iquote('0:Rew:19897.0,19931.0')] ).
cnf(19958,plain,
equal(divide(u,multiply(multiply(inverse(v),v),w)),inverse(divide(multiply(divide(x,x),w),u))),
inference(rew,[status(thm),theory(equality)],[19956,2321]),
[iquote('0:Rew:19956.0,2321.0')] ).
cnf(20030,plain,
equal(divide(divide(inverse(u),divide(inverse(v),multiply(inverse(w),x))),multiply(divide(y,y),v)),multiply(inverse(multiply(multiply(divide(z,z),w),u)),x)),
inference(rew,[status(thm),theory(equality)],[19956,4485]),
[iquote('0:Rew:19956.0,4485.0')] ).
cnf(20081,plain,
equal(divide(u,multiply(multiply(inverse(v),v),w)),divide(u,multiply(divide(x,x),w))),
inference(rew,[status(thm),theory(equality)],[19956,19958]),
[iquote('0:Rew:19956.0,19958.0')] ).
cnf(20082,plain,
equal(inverse(divide(divide(u,v),w)),divide(w,divide(u,v))),
inference(rew,[status(thm),theory(equality)],[16902,19871,19956]),
[iquote('0:Rew:16902.0,19871.0,19956.0,19871.0')] ).
cnf(20083,plain,
equal(inverse(divide(divide(divide(u,u),v),w)),divide(w,divide(multiply(inverse(x),x),v))),
inference(rew,[status(thm),theory(equality)],[20082,1231]),
[iquote('0:Rew:20082.0,1231.0')] ).
cnf(20119,plain,
equal(divide(u,divide(divide(v,v),w)),divide(u,divide(multiply(inverse(x),x),w))),
inference(rew,[status(thm),theory(equality)],[20082,20083]),
[iquote('0:Rew:20082.0,20083.0')] ).
cnf(20142,plain,
equal(divide(divide(u,multiply(divide(v,v),w)),x),divide(u,multiply(x,w))),
inference(rew,[status(thm),theory(equality)],[19956,16304,18687]),
[iquote('0:Rew:19956.0,16304.0,18687.0,16304.0')] ).
cnf(20171,plain,
equal(inverse(divide(u,v)),divide(v,u)),
inference(rew,[status(thm),theory(equality)],[19635,16802,15388,17235]),
[iquote('0:Rew:19635.0,16802.0,15388.0,16802.0,17235.0,16802.0')] ).
cnf(20273,plain,
equal(multiply(inverse(divide(u,v)),divide(divide(divide(w,w),divide(x,x)),divide(divide(y,y),u))),v),
inference(rew,[status(thm),theory(equality)],[2,15396]),
[iquote('0:Rew:2.0,15396.0')] ).
cnf(20274,plain,
equal(multiply(divide(u,v),v),u),
inference(rew,[status(thm),theory(equality)],[20171,20273,16865,19635]),
[iquote('0:Rew:20171.0,20273.0,16865.0,20273.0,19635.0,20273.0,19635.0,20273.0')] ).
cnf(20301,plain,
equal(divide(u,multiply(divide(v,divide(multiply(inverse(w),w),x)),y)),divide(divide(u,multiply(x,y)),v)),
inference(rew,[status(thm),theory(equality)],[20171,15614]),
[iquote('0:Rew:20171.0,15614.0')] ).
cnf(20326,plain,
equal(divide(u,divide(v,divide(inverse(w),x))),divide(divide(u,multiply(x,w)),v)),
inference(rew,[status(thm),theory(equality)],[20142,15943,20171]),
[iquote('0:Rew:20142.0,15943.0,20171.0,15943.0')] ).
cnf(20337,plain,
equal(divide(divide(divide(u,u),v),w),divide(inverse(v),w)),
inference(rew,[status(thm),theory(equality)],[20171,15981,16865,19635]),
[iquote('0:Rew:20171.0,15981.0,16865.0,15981.0,19635.0,15981.0')] ).
cnf(20347,plain,
equal(multiply(u,divide(multiply(divide(v,v),w),divide(x,divide(inverse(w),y)))),divide(divide(u,y),x)),
inference(rew,[status(thm),theory(equality)],[2,16006]),
[iquote('0:Rew:2.0,16006.0')] ).
cnf(20348,plain,
equal(divide(u,divide(v,inverse(w))),divide(divide(u,w),v)),
inference(rew,[status(thm),theory(equality)],[19874,20347,20337,15371,20326]),
[iquote('0:Rew:19874.0,20347.0,20337.0,20347.0,15371.0,20347.0,20326.0,20347.0')] ).
cnf(20349,plain,
equal(divide(divide(u,v),w),divide(u,multiply(w,v))),
inference(rew,[status(thm),theory(equality)],[2,20348]),
[iquote('0:Rew:2.0,20348.0')] ).
cnf(20353,plain,
equal(divide(divide(u,u),multiply(v,w)),divide(inverse(w),v)),
inference(rew,[status(thm),theory(equality)],[20349,20337]),
[iquote('0:Rew:20349.0,20337.0')] ).
cnf(20364,plain,
equal(divide(divide(u,v),divide(w,divide(v,x))),divide(u,multiply(w,x))),
inference(rew,[status(thm),theory(equality)],[20349,17235]),
[iquote('0:Rew:20349.0,17235.0')] ).
cnf(20378,plain,
equal(divide(u,multiply(divide(v,divide(multiply(inverse(w),w),x)),y)),divide(u,multiply(v,multiply(x,y)))),
inference(rew,[status(thm),theory(equality)],[20349,20301]),
[iquote('0:Rew:20349.0,20301.0')] ).
cnf(20410,plain,
equal(divide(u,multiply(divide(v,w),u)),divide(w,v)),
inference(rew,[status(thm),theory(equality)],[20349,19635]),
[iquote('0:Rew:20349.0,19635.0')] ).
cnf(20414,plain,
equal(divide(u,multiply(divide(v,multiply(w,x)),w)),divide(multiply(u,x),v)),
inference(rew,[status(thm),theory(equality)],[20349,18687]),
[iquote('0:Rew:20349.0,18687.0')] ).
cnf(20425,plain,
equal(multiply(u,multiply(divide(v,multiply(u,v)),w)),multiply(inverse(x),multiply(multiply(divide(y,y),x),w))),
inference(rew,[status(thm),theory(equality)],[20349,14415]),
[iquote('0:Rew:20349.0,14415.0')] ).
cnf(20427,plain,
equal(multiply(u,multiply(divide(v,multiply(u,v)),w)),multiply(inverse(x),multiply(multiply(multiply(inverse(y),y),x),w))),
inference(rew,[status(thm),theory(equality)],[20349,14420]),
[iquote('0:Rew:20349.0,14420.0')] ).
cnf(20432,plain,
equal(divide(u,divide(inverse(multiply(divide(v,multiply(w,v)),x)),y)),multiply(divide(u,divide(w,y)),x)),
inference(rew,[status(thm),theory(equality)],[20349,16015]),
[iquote('0:Rew:20349.0,16015.0')] ).
cnf(20433,plain,
equal(divide(multiply(inverse(u),u),divide(v,multiply(w,v))),w),
inference(rew,[status(thm),theory(equality)],[20349,19387]),
[iquote('0:Rew:20349.0,19387.0')] ).
cnf(20434,plain,
equal(divide(u,divide(v,multiply(w,v))),divide(u,divide(multiply(inverse(x),x),w))),
inference(rew,[status(thm),theory(equality)],[20349,20119]),
[iquote('0:Rew:20349.0,20119.0')] ).
cnf(20444,plain,
equal(divide(u,multiply(v,u)),divide(multiply(inverse(w),w),v)),
inference(rew,[status(thm),theory(equality)],[20349,19641]),
[iquote('0:Rew:20349.0,19641.0')] ).
cnf(20448,plain,
equal(divide(u,multiply(multiply(v,w),u)),divide(inverse(w),v)),
inference(rew,[status(thm),theory(equality)],[20349,20353]),
[iquote('0:Rew:20349.0,20353.0')] ).
cnf(20451,plain,
equal(divide(u,multiply(divide(v,divide(w,x)),w)),divide(u,multiply(v,x))),
inference(rew,[status(thm),theory(equality)],[20349,20364]),
[iquote('0:Rew:20349.0,20364.0')] ).
cnf(20470,plain,
equal(divide(u,divide(multiply(v,w),x)),divide(u,divide(v,divide(x,w)))),
inference(rew,[status(thm),theory(equality)],[16902,16018,20171,20349,19874]),
[iquote('0:Rew:16902.0,16018.0,20171.0,16018.0,20349.0,16018.0,19874.0,16018.0,20349.0,16018.0')] ).
cnf(20473,plain,
equal(divide(u,multiply(divide(v,divide(inverse(w),divide(x,w))),y)),divide(u,multiply(v,multiply(x,y)))),
inference(rew,[status(thm),theory(equality)],[20470,20378]),
[iquote('0:Rew:20470.0,20378.0')] ).
cnf(20475,plain,
equal(divide(inverse(multiply(u,v)),divide(inverse(w),divide(u,w))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[20470,19555]),
[iquote('0:Rew:20470.0,19555.0')] ).
cnf(20478,plain,
equal(divide(u,divide(v,multiply(w,v))),divide(u,divide(inverse(x),divide(w,x)))),
inference(rew,[status(thm),theory(equality)],[20470,20434]),
[iquote('0:Rew:20470.0,20434.0')] ).
cnf(20503,plain,
equal(divide(multiply(multiply(u,v),w),x),divide(u,divide(x,multiply(v,w)))),
inference(rew,[status(thm),theory(equality)],[16902,16281,20171,20349]),
[iquote('0:Rew:16902.0,16281.0,20171.0,16281.0,20349.0,16281.0')] ).
cnf(20539,plain,
equal(multiply(u,divide(divide(multiply(inverse(v),v),w),divide(x,multiply(w,y)))),divide(multiply(u,y),x)),
inference(rew,[status(thm),theory(equality)],[2,16663]),
[iquote('0:Rew:2.0,16663.0')] ).
cnf(20540,plain,
equal(divide(u,divide(v,multiply(inverse(w),multiply(w,x)))),divide(multiply(u,x),v)),
inference(rew,[status(thm),theory(equality)],[20349,20539,19874,20503,20414]),
[iquote('0:Rew:20349.0,20539.0,19874.0,20539.0,20503.0,20539.0,20414.0,20539.0,20349.0,20539.0')] ).
cnf(20555,plain,
equal(divide(u,multiply(inverse(v),multiply(v,w))),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[20349,16803,20171,20503,20414,20451]),
[iquote('0:Rew:20349.0,16803.0,20171.0,16803.0,20503.0,16803.0,20414.0,16803.0,20349.0,16803.0,20451.0,16803.0,20349.0,16803.0')] ).
cnf(20557,plain,
equal(divide(multiply(u,v),w),divide(u,divide(w,v))),
inference(rew,[status(thm),theory(equality)],[20555,20540]),
[iquote('0:Rew:20555.0,20540.0')] ).
cnf(20569,plain,
equal(divide(u,multiply(divide(v,multiply(w,x)),w)),divide(u,divide(v,x))),
inference(rew,[status(thm),theory(equality)],[20557,20414]),
[iquote('0:Rew:20557.0,20414.0')] ).
cnf(20571,plain,
equal(divide(u,multiply(v,u)),divide(inverse(w),divide(v,w))),
inference(rew,[status(thm),theory(equality)],[20557,20444]),
[iquote('0:Rew:20557.0,20444.0')] ).
cnf(20587,plain,
equal(divide(inverse(u),divide(divide(v,multiply(w,v)),u)),w),
inference(rew,[status(thm),theory(equality)],[20557,20433]),
[iquote('0:Rew:20557.0,20433.0')] ).
cnf(20599,plain,
equal(divide(inverse(u),divide(v,multiply(u,multiply(w,v)))),w),
inference(rew,[status(thm),theory(equality)],[20349,20587]),
[iquote('0:Rew:20349.0,20587.0')] ).
cnf(20611,plain,
equal(divide(u,divide(inverse(v),divide(w,v))),multiply(u,w)),
inference(rew,[status(thm),theory(equality)],[19874,16805,20349,20171,20274,20557,20569]),
[iquote('0:Rew:19874.0,16805.0,20349.0,16805.0,20171.0,16805.0,20274.0,16805.0,20349.0,16805.0,19874.0,16805.0,20349.0,16805.0,19874.0,16805.0,20349.0,16805.0,20557.0,16805.0,20569.0,16805.0,20349.0,16805.0')] ).
cnf(20613,plain,
equal(divide(u,divide(v,multiply(w,v))),multiply(u,w)),
inference(rew,[status(thm),theory(equality)],[20611,20478]),
[iquote('0:Rew:20611.0,20478.0')] ).
cnf(20614,plain,
equal(divide(u,multiply(multiply(v,w),x)),divide(u,multiply(v,multiply(w,x)))),
inference(rew,[status(thm),theory(equality)],[20611,20473]),
[iquote('0:Rew:20611.0,20473.0')] ).
cnf(20615,plain,
equal(multiply(inverse(multiply(u,v)),u),inverse(v)),
inference(rew,[status(thm),theory(equality)],[20611,20475]),
[iquote('0:Rew:20611.0,20475.0')] ).
cnf(20625,plain,
equal(divide(u,multiply(v,multiply(w,u))),divide(inverse(w),v)),
inference(rew,[status(thm),theory(equality)],[20614,20448]),
[iquote('0:Rew:20614.0,20448.0')] ).
cnf(20628,plain,
equal(divide(u,multiply(inverse(v),multiply(v,w))),divide(u,multiply(divide(x,x),w))),
inference(rew,[status(thm),theory(equality)],[20614,20081]),
[iquote('0:Rew:20614.0,20081.0')] ).
cnf(20631,plain,
equal(divide(inverse(u),divide(inverse(v),u)),v),
inference(rew,[status(thm),theory(equality)],[20625,20599]),
[iquote('0:Rew:20625.0,20599.0')] ).
cnf(20638,plain,
equal(divide(u,multiply(divide(v,v),w)),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[20555,20628]),
[iquote('0:Rew:20555.0,20628.0')] ).
cnf(20651,plain,
equal(divide(inverse(u),v),inverse(multiply(v,u))),
inference(rew,[status(thm),theory(equality)],[20613,16817,16865,20557,20410,20349]),
[iquote('0:Rew:20613.0,16817.0,16865.0,16817.0,20557.0,16817.0,20410.0,16817.0,20349.0,16817.0,20349.0,16817.0,20349.0,16817.0')] ).
cnf(20661,plain,
equal(divide(u,multiply(v,multiply(w,u))),inverse(multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[20651,20625]),
[iquote('0:Rew:20651.0,20625.0')] ).
cnf(20665,plain,
equal(divide(u,inverse(multiply(v,multiply(divide(w,multiply(x,w)),y)))),multiply(divide(u,divide(x,v)),y)),
inference(rew,[status(thm),theory(equality)],[20651,20432]),
[iquote('0:Rew:20651.0,20432.0')] ).
cnf(20667,plain,
equal(divide(u,multiply(v,u)),inverse(multiply(divide(v,w),w))),
inference(rew,[status(thm),theory(equality)],[20651,20571]),
[iquote('0:Rew:20651.0,20571.0')] ).
cnf(20669,plain,
equal(inverse(multiply(divide(inverse(u),v),v)),u),
inference(rew,[status(thm),theory(equality)],[20651,20631]),
[iquote('0:Rew:20651.0,20631.0')] ).
cnf(20680,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[20615,20669,20651]),
[iquote('0:Rew:20615.0,20669.0,20651.0,20669.0')] ).
cnf(20681,plain,
equal(divide(u,multiply(v,u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[20274,20667]),
[iquote('0:Rew:20274.0,20667.0')] ).
cnf(20690,plain,
equal(multiply(u,multiply(inverse(u),v)),multiply(inverse(w),multiply(multiply(divide(x,x),w),v))),
inference(rew,[status(thm),theory(equality)],[20681,20425]),
[iquote('0:Rew:20681.0,20425.0')] ).
cnf(20715,plain,
equal(multiply(u,multiply(v,multiply(divide(w,multiply(x,w)),y))),multiply(divide(u,divide(x,v)),y)),
inference(rew,[status(thm),theory(equality)],[2,20665]),
[iquote('0:Rew:2.0,20665.0')] ).
cnf(20716,plain,
equal(multiply(u,multiply(v,multiply(inverse(w),x))),multiply(divide(u,divide(w,v)),x)),
inference(rew,[status(thm),theory(equality)],[20681,20715]),
[iquote('0:Rew:20681.0,20715.0')] ).
cnf(20721,plain,
equal(inverse(multiply(multiply(divide(u,u),v),w)),inverse(multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[20680,16868,20681,20349]),
[iquote('0:Rew:20680.0,16868.0,20681.0,16868.0,20349.0,16868.0,20681.0,16868.0,20349.0,16868.0')] ).
cnf(20781,plain,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[20680,17241,20651,20681,20349,20661,20614]),
[iquote('0:Rew:20680.0,17241.0,20651.0,17241.0,20681.0,17241.0,20349.0,17241.0,20680.0,17241.0,20651.0,17241.0,20661.0,17241.0,20614.0,17241.0,20349.0,17241.0')] ).
cnf(20791,plain,
equal(inverse(multiply(divide(u,u),multiply(v,w))),inverse(multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[20781,20721]),
[iquote('0:Rew:20781.0,20721.0')] ).
cnf(20792,plain,
equal(multiply(u,multiply(inverse(u),v)),multiply(inverse(w),multiply(divide(x,x),multiply(w,v)))),
inference(rew,[status(thm),theory(equality)],[20781,20690]),
[iquote('0:Rew:20781.0,20690.0')] ).
cnf(20821,plain,
equal(inverse(multiply(divide(u,u),v)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[16865,18668,20557,20716,20651,20791,20781,20681,20349]),
[iquote('0:Rew:16865.0,18668.0,20557.0,18668.0,20716.0,18668.0,20651.0,18668.0,20651.0,18668.0,20791.0,18668.0,20781.0,18668.0,20651.0,18668.0,20681.0,18668.0,20349.0,18668.0')] ).
cnf(20828,plain,
equal(multiply(divide(u,multiply(v,inverse(multiply(inverse(u),w)))),v),w),
inference(rew,[status(thm),theory(equality)],[20680,18746,20651,20557,20781,20681,20349]),
[iquote('0:Rew:20680.0,18746.0,20651.0,18746.0,20557.0,18746.0,20781.0,18746.0,20651.0,18746.0,20681.0,18746.0,20349.0,18746.0,20681.0,18746.0,20349.0,18746.0')] ).
cnf(20829,plain,
equal(multiply(divide(u,multiply(v,w)),v),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[20680,18780,20651,20681,20349,20171,20557]),
[iquote('0:Rew:20680.0,18780.0,20651.0,18780.0,20681.0,18780.0,20349.0,18780.0,20171.0,18780.0,20171.0,18780.0,20681.0,18780.0,20349.0,18780.0,20557.0,18780.0')] ).
cnf(20831,plain,
equal(divide(u,inverse(multiply(inverse(u),v))),v),
inference(rew,[status(thm),theory(equality)],[20829,20828]),
[iquote('0:Rew:20829.0,20828.0')] ).
cnf(20833,plain,
equal(multiply(u,multiply(inverse(u),v)),v),
inference(rew,[status(thm),theory(equality)],[2,20831]),
[iquote('0:Rew:2.0,20831.0')] ).
cnf(20836,plain,
equal(multiply(inverse(u),multiply(divide(v,v),multiply(u,w))),w),
inference(rew,[status(thm),theory(equality)],[20833,20792]),
[iquote('0:Rew:20833.0,20792.0')] ).
cnf(20918,plain,
equal(multiply(inverse(u),multiply(inverse(v),multiply(v,multiply(u,w)))),w),
inference(rew,[status(thm),theory(equality)],[20833,20427,20681,20781]),
[iquote('0:Rew:20833.0,20427.0,20681.0,20427.0,20781.0,20427.0,20781.0,20427.0,20781.0,20427.0')] ).
cnf(20956,plain,
equal(multiply(u,inverse(v)),divide(u,v)),
inference(rew,[status(thm),theory(equality)],[20274,15592,20651,20918,20781]),
[iquote('0:Rew:20274.0,15592.0,20651.0,15592.0,20918.0,15592.0,20781.0,15592.0,20781.0,15592.0,20781.0,15592.0')] ).
cnf(21091,plain,
equal(multiply(inverse(multiply(divide(divide(u,u),v),w)),x),inverse(multiply(divide(divide(y,y),multiply(v,x)),w))),
inference(rew,[status(thm),theory(equality)],[2,17998]),
[iquote('0:Rew:2.0,17998.0')] ).
cnf(21092,plain,
equal(multiply(inverse(multiply(inverse(u),v)),w),inverse(multiply(inverse(multiply(u,w)),v))),
inference(rew,[status(thm),theory(equality)],[20681,21091,20349,20661,20781]),
[iquote('0:Rew:20681.0,21091.0,20349.0,21091.0,20661.0,21091.0,20781.0,21091.0,20349.0,21091.0')] ).
cnf(21212,plain,
equal(multiply(u,multiply(divide(v,v),multiply(w,x))),multiply(u,multiply(w,x))),
inference(rew,[status(thm),theory(equality)],[20781,16880,20680,20681,20349]),
[iquote('0:Rew:20781.0,16880.0,20680.0,16880.0,20681.0,16880.0,20349.0,16880.0,20681.0,16880.0,20349.0,16880.0')] ).
cnf(21213,plain,
equal(multiply(inverse(u),multiply(u,v)),v),
inference(rew,[status(thm),theory(equality)],[21212,20836]),
[iquote('0:Rew:21212.0,20836.0')] ).
cnf(21841,plain,
equal(inverse(multiply(inverse(u),u)),divide(v,v)),
inference(rew,[status(thm),theory(equality)],[20651,15301,20821,20557,20171,20638,20349]),
[iquote('0:Rew:20651.0,15301.0,20821.0,15301.0,20651.0,15301.0,20557.0,15301.0,20557.0,15301.0,20821.0,15301.0,20171.0,15301.0,20638.0,15301.0,20349.0,15301.0,20638.0,15301.0,20349.0,15301.0,20557.0,15301.0,20557.0,15301.0')] ).
cnf(22264,plain,
equal(divide(u,inverse(multiply(inverse(v),w))),multiply(divide(u,v),w)),
inference(rew,[status(thm),theory(equality)],[20171,19715,20681,20349,20557,20661,20956,20781,20651]),
[iquote('0:Rew:20171.0,19715.0,20171.0,19715.0,20681.0,19715.0,20349.0,19715.0,20557.0,19715.0,20661.0,19715.0,20956.0,19715.0,20349.0,19715.0,20171.0,19715.0,20781.0,19715.0,20651.0,19715.0,20681.0,19715.0,20349.0,19715.0')] ).
cnf(22265,plain,
equal(multiply(u,multiply(inverse(v),w)),multiply(divide(u,v),w)),
inference(rew,[status(thm),theory(equality)],[2,22264]),
[iquote('0:Rew:2.0,22264.0')] ).
cnf(22269,plain,
equal(multiply(divide(u,u),v),v),
inference(rew,[status(thm),theory(equality)],[22265,20833]),
[iquote('0:Rew:22265.0,20833.0')] ).
cnf(22785,plain,
equal(inverse(multiply(inverse(u),multiply(v,w))),multiply(inverse(multiply(v,w)),u)),
inference(rew,[status(thm),theory(equality)],[20651,20030,20681,20557,20680,21092,20781,22269]),
[iquote('0:Rew:20651.0,20030.0,20681.0,20030.0,20557.0,20030.0,20680.0,20030.0,21092.0,20030.0,20651.0,20030.0,20781.0,20030.0,20651.0,20030.0,22269.0,20030.0,22269.0,20030.0')] ).
cnf(22806,plain,
equal(inverse(multiply(inverse(u),v)),multiply(inverse(v),u)),
inference(rew,[status(thm),theory(equality)],[20661,15546,20680,20681,22265,22785,20781,20651,20349,21213]),
[iquote('0:Rew:20661.0,15546.0,20680.0,15546.0,20681.0,15546.0,22265.0,15546.0,22785.0,15546.0,20781.0,15546.0,20651.0,15546.0,20681.0,15546.0,20349.0,15546.0,21213.0,15546.0,20781.0,15546.0')] ).
cnf(22808,plain,
equal(multiply(inverse(u),u),divide(v,v)),
inference(rew,[status(thm),theory(equality)],[22806,21841]),
[iquote('0:Rew:22806.0,21841.0')] ).
cnf(26127,plain,
equal(multiply(inverse(u),u),multiply(inverse(v),v)),
inference(spr,[status(thm),theory(equality)],[22808,2]),
[iquote('0:SpR:22808.0,2.0')] ).
cnf(26149,plain,
$false,
inference(unc,[status(thm)],[26127,3]),
[iquote('0:UnC:26127.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP478-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 12:18:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 43.59/43.84
% 43.59/43.84 SPASS V 3.9
% 43.59/43.84 SPASS beiseite: Proof found.
% 43.59/43.84 % SZS status Theorem
% 43.59/43.84 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.59/43.84 SPASS derived 15995 clauses, backtracked 0 clauses, performed 0 splits and kept 5097 clauses.
% 43.59/43.84 SPASS allocated 114789 KBytes.
% 43.59/43.84 SPASS spent 0:0:43.45 on the problem.
% 43.59/43.84 0:00:00.04 for the input.
% 43.59/43.84 0:00:00.00 for the FLOTTER CNF translation.
% 43.59/43.84 0:00:00.15 for inferences.
% 43.59/43.84 0:00:00.00 for the backtracking.
% 43.59/43.84 0:0:43.23 for the reduction.
% 43.59/43.84
% 43.59/43.84
% 43.59/43.84 Here is a proof with depth 10, length 273 :
% 43.59/43.84 % SZS output start Refutation
% See solution above
% 43.99/44.20 Formulae used in the proof : single_axiom multiply prove_these_axioms_1
% 43.99/44.20
%------------------------------------------------------------------------------