%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP479-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 11:47:40 EDT 2022
% Result : Unsatisfiable 42.26s 42.47s
% Output : Refutation 42.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 3
% Syntax : Number of clauses : 218 ( 218 unt; 0 nHn; 218 RR)
% Number of literals : 218 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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('GRP479-1.p',unknown),
[] ).
cnf(2,axiom,
equal(divide(u,inverse(v)),multiply(u,v)),
file('GRP479-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
file('GRP479-1.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(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(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(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(768,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(772,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(1118,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(1123,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(1151,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(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(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(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(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(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(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(14281,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(14289,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(14291,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(14292,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(14305,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(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(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(15277,plain,
equal(divide(multiply(u,v),multiply(w,v)),divide(u,multiply(w,divide(multiply(divide(x,x),y),multiply(divide(z,z),y))))),
inference(spr,[status(thm),theory(equality)],[14380,758]),
[iquote('0:SpR:14380.0,758.0')] ).
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(15373,plain,
equal(divide(multiply(u,v),multiply(w,v)),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[14380,15277]),
[iquote('0:Rew:14380.0,15277.0')] ).
cnf(15388,plain,
equal(multiply(u,divide(divide(divide(v,v),w),divide(x,w))),divide(u,x)),
inference(rew,[status(thm),theory(equality)],[15373,1129]),
[iquote('0:Rew:15373.0,1129.0')] ).
cnf(15390,plain,
equal(divide(divide(u,v),divide(w,v)),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[15373,481]),
[iquote('0:Rew:15373.0,481.0')] ).
cnf(15391,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),w)),v),w),
inference(rew,[status(thm),theory(equality)],[15373,351]),
[iquote('0:Rew:15373.0,351.0')] ).
cnf(15393,plain,
equal(multiply(u,divide(divide(v,v),multiply(inverse(w),w))),u),
inference(rew,[status(thm),theory(equality)],[15373,15315]),
[iquote('0:Rew:15373.0,15315.0')] ).
cnf(15398,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)],[15373,14212]),
[iquote('0:Rew:15373.0,14212.0')] ).
cnf(15458,plain,
equal(inverse(divide(divide(divide(u,u),divide(v,w)),x)),inverse(divide(divide(w,v),x))),
inference(rew,[status(thm),theory(equality)],[15373,1784]),
[iquote('0:Rew:15373.0,1784.0')] ).
cnf(15616,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)],[15373,1835]),
[iquote('0:Rew:15373.0,1835.0')] ).
cnf(15633,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)],[15373,2195]),
[iquote('0:Rew:15373.0,2195.0')] ).
cnf(15755,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)],[15373,9460]),
[iquote('0:Rew:15373.0,9460.0')] ).
cnf(15934,plain,
equal(multiply(u,divide(divide(divide(v,v),u),divide(w,x))),divide(x,w)),
inference(rew,[status(thm),theory(equality)],[15373,14345]),
[iquote('0:Rew:15373.0,14345.0')] ).
cnf(15945,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)],[15373,1307]),
[iquote('0:Rew:15373.0,1307.0')] ).
cnf(15954,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)],[15373,1123]),
[iquote('0:Rew:15373.0,1123.0')] ).
cnf(15958,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)],[15373,788]),
[iquote('0:Rew:15373.0,788.0')] ).
cnf(15960,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)],[15373,733]),
[iquote('0:Rew:15373.0,733.0')] ).
cnf(15962,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)],[15373,1086]),
[iquote('0:Rew:15373.0,1086.0')] ).
cnf(15983,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)],[15373,14292]),
[iquote('0:Rew:15373.0,14292.0')] ).
cnf(16006,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)],[15373,1118]),
[iquote('0:Rew:15373.0,1118.0')] ).
cnf(16008,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)],[15373,779]),
[iquote('0:Rew:15373.0,779.0')] ).
cnf(16010,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)],[15373,777]),
[iquote('0:Rew:15373.0,777.0')] ).
cnf(16020,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)],[15373,1218]),
[iquote('0:Rew:15373.0,1218.0')] ).
cnf(16021,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)],[15373,782]),
[iquote('0:Rew:15373.0,782.0')] ).
cnf(16092,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)],[15373,3383]),
[iquote('0:Rew:15373.0,3383.0')] ).
cnf(16283,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)],[15390,1826]),
[iquote('0:Rew:15390.0,1826.0')] ).
cnf(16306,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)],[15390,772]),
[iquote('0:Rew:15390.0,772.0')] ).
cnf(16665,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)],[15390,768]),
[iquote('0:Rew:15390.0,768.0')] ).
cnf(16804,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)],[15390,479]),
[iquote('0:Rew:15390.0,479.0')] ).
cnf(16805,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)],[15390,2284]),
[iquote('0:Rew:15390.0,2284.0')] ).
cnf(16807,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)],[15390,2287]),
[iquote('0:Rew:15390.0,2287.0')] ).
cnf(16819,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)],[15390,14291]),
[iquote('0:Rew:15390.0,14291.0')] ).
cnf(16867,plain,
equal(divide(u,divide(v,v)),u),
inference(rew,[status(thm),theory(equality)],[15391,14289]),
[iquote('0:Rew:15391.0,14289.0')] ).
cnf(16882,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)],[16867,14305]),
[iquote('0:Rew:16867.0,14305.0')] ).
cnf(16903,plain,
equal(multiply(u,divide(divide(v,v),w)),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[15390,15388]),
[iquote('0:Rew:15390.0,15388.0')] ).
cnf(16904,plain,
equal(divide(u,multiply(inverse(v),v)),u),
inference(rew,[status(thm),theory(equality)],[16903,15393]),
[iquote('0:Rew:16903.0,15393.0')] ).
cnf(16943,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)],[15458,11521]),
[iquote('0:Rew:15458.0,11521.0')] ).
cnf(17122,plain,
equal(inverse(divide(multiply(u,divide(v,w)),divide(x,w))),divide(inverse(divide(v,x)),u)),
inference(rew,[status(thm),theory(equality)],[2,16943]),
[iquote('0:Rew:2.0,16943.0')] ).
cnf(17237,plain,
equal(divide(divide(u,v),divide(w,divide(v,x))),divide(divide(u,x),w)),
inference(rew,[status(thm),theory(equality)],[15373,15960]),
[iquote('0:Rew:15373.0,15960.0')] ).
cnf(17243,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)],[17237,17]),
[iquote('0:Rew:17237.0,17.0')] ).
cnf(18689,plain,
equal(divide(divide(u,v),divide(w,multiply(v,x))),divide(multiply(u,x),w)),
inference(rew,[status(thm),theory(equality)],[15373,15962]),
[iquote('0:Rew:15373.0,15962.0')] ).
cnf(18748,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)],[18689,14281]),
[iquote('0:Rew:18689.0,14281.0')] ).
cnf(18782,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)],[18689,1151]),
[iquote('0:Rew:18689.0,1151.0')] ).
cnf(18920,plain,
equal(divide(inverse(divide(multiply(divide(u,u),v),w)),x),divide(w,multiply(x,v))),
inference(rew,[status(thm),theory(equality)],[18689,15954]),
[iquote('0:Rew:18689.0,15954.0')] ).
cnf(19207,plain,
equal(divide(inverse(divide(divide(divide(u,u),v),w)),x),divide(w,divide(x,v))),
inference(rew,[status(thm),theory(equality)],[17237,15958]),
[iquote('0:Rew:17237.0,15958.0')] ).
cnf(19317,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)],[2,16006]),
[iquote('0:Rew:2.0,16006.0')] ).
cnf(19318,plain,
equal(multiply(u,divide(multiply(divide(v,v),w),x)),divide(multiply(u,w),x)),
inference(rew,[status(thm),theory(equality)],[18689,19317]),
[iquote('0:Rew:18689.0,19317.0')] ).
cnf(19389,plain,
equal(divide(multiply(inverse(u),u),divide(divide(v,v),w)),w),
inference(rew,[status(thm),theory(equality)],[19318,14367]),
[iquote('0:Rew:19318.0,14367.0')] ).
cnf(19473,plain,
equal(multiply(u,divide(divide(divide(v,v),u),w)),divide(multiply(inverse(x),x),w)),
inference(rew,[status(thm),theory(equality)],[19318,14406]),
[iquote('0:Rew:19318.0,14406.0')] ).
cnf(19557,plain,
equal(divide(inverse(multiply(u,v)),divide(multiply(inverse(w),w),u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[19318,15633]),
[iquote('0:Rew:19318.0,15633.0')] ).
cnf(19623,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)],[2,16010]),
[iquote('0:Rew:2.0,16010.0')] ).
cnf(19624,plain,
equal(multiply(u,divide(divide(divide(v,v),w),x)),divide(divide(u,w),x)),
inference(rew,[status(thm),theory(equality)],[17237,19623]),
[iquote('0:Rew:17237.0,19623.0')] ).
cnf(19636,plain,
equal(multiply(u,divide(divide(v,w),x)),divide(divide(u,divide(w,v)),x)),
inference(rew,[status(thm),theory(equality)],[19624,15755]),
[iquote('0:Rew:19624.0,15755.0')] ).
cnf(19637,plain,
equal(divide(divide(u,u),divide(v,w)),divide(w,v)),
inference(rew,[status(thm),theory(equality)],[19624,15934]),
[iquote('0:Rew:19624.0,15934.0')] ).
cnf(19643,plain,
equal(divide(divide(u,u),v),divide(multiply(inverse(w),w),v)),
inference(rew,[status(thm),theory(equality)],[19624,19473]),
[iquote('0:Rew:19624.0,19473.0')] ).
cnf(19700,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)],[19624,9475]),
[iquote('0:Rew:19624.0,9475.0')] ).
cnf(19861,plain,
equal(divide(divide(u,divide(divide(v,v),w)),x),multiply(u,divide(w,x))),
inference(rew,[status(thm),theory(equality)],[16867,19700,19636]),
[iquote('0:Rew:16867.0,19700.0,19636.0,19700.0')] ).
cnf(19867,plain,
equal(divide(divide(u,divide(v,w)),x),divide(u,divide(x,divide(w,v)))),
inference(rew,[status(thm),theory(equality)],[19207,16021]),
[iquote('0:Rew:19207.0,16021.0')] ).
cnf(19871,plain,
equal(divide(u,divide(v,divide(w,divide(x,x)))),multiply(u,divide(w,v))),
inference(rew,[status(thm),theory(equality)],[19867,19861]),
[iquote('0:Rew:19867.0,19861.0')] ).
cnf(19873,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)],[19867,16092]),
[iquote('0:Rew:19867.0,16092.0')] ).
cnf(19876,plain,
equal(multiply(u,divide(v,w)),divide(u,divide(w,v))),
inference(rew,[status(thm),theory(equality)],[16867,19871]),
[iquote('0:Rew:16867.0,19871.0')] ).
cnf(19896,plain,
equal(inverse(divide(divide(u,divide(v,w)),divide(x,v))),divide(inverse(divide(w,x)),u)),
inference(rew,[status(thm),theory(equality)],[19876,17122]),
[iquote('0:Rew:19876.0,17122.0')] ).
cnf(19899,plain,
equal(divide(u,divide(v,multiply(divide(w,w),x))),divide(multiply(u,x),v)),
inference(rew,[status(thm),theory(equality)],[19876,19318]),
[iquote('0:Rew:19876.0,19318.0')] ).
cnf(19918,plain,
equal(divide(inverse(divide(u,v)),w),inverse(divide(w,divide(v,u)))),
inference(rew,[status(thm),theory(equality)],[15390,19896,19867]),
[iquote('0:Rew:15390.0,19896.0,19867.0,19896.0')] ).
cnf(19933,plain,
equal(inverse(divide(u,divide(v,multiply(divide(w,w),x)))),divide(v,multiply(u,x))),
inference(rew,[status(thm),theory(equality)],[19918,18920]),
[iquote('0:Rew:19918.0,18920.0')] ).
cnf(19958,plain,
equal(inverse(divide(multiply(u,v),w)),divide(w,multiply(u,v))),
inference(rew,[status(thm),theory(equality)],[19899,19933]),
[iquote('0:Rew:19899.0,19933.0')] ).
cnf(20084,plain,
equal(inverse(divide(divide(u,v),w)),divide(w,divide(u,v))),
inference(rew,[status(thm),theory(equality)],[16904,19873,19958]),
[iquote('0:Rew:16904.0,19873.0,19958.0,19873.0')] ).
cnf(20085,plain,
equal(inverse(divide(divide(divide(u,u),v),w)),divide(w,divide(multiply(inverse(x),x),v))),
inference(rew,[status(thm),theory(equality)],[20084,1231]),
[iquote('0:Rew:20084.0,1231.0')] ).
cnf(20121,plain,
equal(divide(u,divide(divide(v,v),w)),divide(u,divide(multiply(inverse(x),x),w))),
inference(rew,[status(thm),theory(equality)],[20084,20085]),
[iquote('0:Rew:20084.0,20085.0')] ).
cnf(20144,plain,
equal(divide(divide(u,multiply(divide(v,v),w)),x),divide(u,multiply(x,w))),
inference(rew,[status(thm),theory(equality)],[19958,16306,18689]),
[iquote('0:Rew:19958.0,16306.0,18689.0,16306.0')] ).
cnf(20173,plain,
equal(inverse(divide(u,v)),divide(v,u)),
inference(rew,[status(thm),theory(equality)],[19637,16804,15390,17237]),
[iquote('0:Rew:19637.0,16804.0,15390.0,16804.0,17237.0,16804.0')] ).
cnf(20275,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)],[2,15398]),
[iquote('0:Rew:2.0,15398.0')] ).
cnf(20276,plain,
equal(multiply(divide(u,v),v),u),
inference(rew,[status(thm),theory(equality)],[20173,20275,16867,19637]),
[iquote('0:Rew:20173.0,20275.0,16867.0,20275.0,19637.0,20275.0,19637.0,20275.0')] ).
cnf(20303,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)],[20173,15616]),
[iquote('0:Rew:20173.0,15616.0')] ).
cnf(20328,plain,
equal(divide(u,divide(v,divide(inverse(w),x))),divide(divide(u,multiply(x,w)),v)),
inference(rew,[status(thm),theory(equality)],[20144,15945,20173]),
[iquote('0:Rew:20144.0,15945.0,20173.0,15945.0')] ).
cnf(20339,plain,
equal(divide(divide(divide(u,u),v),w),divide(inverse(v),w)),
inference(rew,[status(thm),theory(equality)],[20173,15983,16867,19637]),
[iquote('0:Rew:20173.0,15983.0,16867.0,15983.0,19637.0,15983.0')] ).
cnf(20349,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)],[2,16008]),
[iquote('0:Rew:2.0,16008.0')] ).
cnf(20350,plain,
equal(divide(u,divide(v,inverse(w))),divide(divide(u,w),v)),
inference(rew,[status(thm),theory(equality)],[19876,20349,20339,15373,20328]),
[iquote('0:Rew:19876.0,20349.0,20339.0,20349.0,15373.0,20349.0,20328.0,20349.0')] ).
cnf(20351,plain,
equal(divide(divide(u,v),w),divide(u,multiply(w,v))),
inference(rew,[status(thm),theory(equality)],[2,20350]),
[iquote('0:Rew:2.0,20350.0')] ).
cnf(20355,plain,
equal(divide(divide(u,u),multiply(v,w)),divide(inverse(w),v)),
inference(rew,[status(thm),theory(equality)],[20351,20339]),
[iquote('0:Rew:20351.0,20339.0')] ).
cnf(20366,plain,
equal(divide(divide(u,v),divide(w,divide(v,x))),divide(u,multiply(w,x))),
inference(rew,[status(thm),theory(equality)],[20351,17237]),
[iquote('0:Rew:20351.0,17237.0')] ).
cnf(20380,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)],[20351,20303]),
[iquote('0:Rew:20351.0,20303.0')] ).
cnf(20412,plain,
equal(divide(u,multiply(divide(v,w),u)),divide(w,v)),
inference(rew,[status(thm),theory(equality)],[20351,19637]),
[iquote('0:Rew:20351.0,19637.0')] ).
cnf(20416,plain,
equal(divide(u,multiply(divide(v,multiply(w,x)),w)),divide(multiply(u,x),v)),
inference(rew,[status(thm),theory(equality)],[20351,18689]),
[iquote('0:Rew:20351.0,18689.0')] ).
cnf(20427,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)],[20351,14415]),
[iquote('0:Rew:20351.0,14415.0')] ).
cnf(20435,plain,
equal(divide(multiply(inverse(u),u),divide(v,multiply(w,v))),w),
inference(rew,[status(thm),theory(equality)],[20351,19389]),
[iquote('0:Rew:20351.0,19389.0')] ).
cnf(20436,plain,
equal(divide(u,divide(v,multiply(w,v))),divide(u,divide(multiply(inverse(x),x),w))),
inference(rew,[status(thm),theory(equality)],[20351,20121]),
[iquote('0:Rew:20351.0,20121.0')] ).
cnf(20446,plain,
equal(divide(u,multiply(v,u)),divide(multiply(inverse(w),w),v)),
inference(rew,[status(thm),theory(equality)],[20351,19643]),
[iquote('0:Rew:20351.0,19643.0')] ).
cnf(20450,plain,
equal(divide(u,multiply(multiply(v,w),u)),divide(inverse(w),v)),
inference(rew,[status(thm),theory(equality)],[20351,20355]),
[iquote('0:Rew:20351.0,20355.0')] ).
cnf(20453,plain,
equal(divide(u,multiply(divide(v,divide(w,x)),w)),divide(u,multiply(v,x))),
inference(rew,[status(thm),theory(equality)],[20351,20366]),
[iquote('0:Rew:20351.0,20366.0')] ).
cnf(20472,plain,
equal(divide(u,divide(multiply(v,w),x)),divide(u,divide(v,divide(x,w)))),
inference(rew,[status(thm),theory(equality)],[16904,16020,20173,20351,19876]),
[iquote('0:Rew:16904.0,16020.0,20173.0,16020.0,20351.0,16020.0,19876.0,16020.0,20351.0,16020.0')] ).
cnf(20475,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)],[20472,20380]),
[iquote('0:Rew:20472.0,20380.0')] ).
cnf(20477,plain,
equal(divide(inverse(multiply(u,v)),divide(inverse(w),divide(u,w))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[20472,19557]),
[iquote('0:Rew:20472.0,19557.0')] ).
cnf(20480,plain,
equal(divide(u,divide(v,multiply(w,v))),divide(u,divide(inverse(x),divide(w,x)))),
inference(rew,[status(thm),theory(equality)],[20472,20436]),
[iquote('0:Rew:20472.0,20436.0')] ).
cnf(20505,plain,
equal(divide(multiply(multiply(u,v),w),x),divide(u,divide(x,multiply(v,w)))),
inference(rew,[status(thm),theory(equality)],[16904,16283,20173,20351]),
[iquote('0:Rew:16904.0,16283.0,20173.0,16283.0,20351.0,16283.0')] ).
cnf(20541,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)],[2,16665]),
[iquote('0:Rew:2.0,16665.0')] ).
cnf(20542,plain,
equal(divide(u,divide(v,multiply(inverse(w),multiply(w,x)))),divide(multiply(u,x),v)),
inference(rew,[status(thm),theory(equality)],[20351,20541,19876,20505,20416]),
[iquote('0:Rew:20351.0,20541.0,19876.0,20541.0,20505.0,20541.0,20416.0,20541.0,20351.0,20541.0')] ).
cnf(20557,plain,
equal(divide(u,multiply(inverse(v),multiply(v,w))),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[20351,16805,20173,20505,20416,20453]),
[iquote('0:Rew:20351.0,16805.0,20173.0,16805.0,20505.0,16805.0,20416.0,16805.0,20351.0,16805.0,20453.0,16805.0,20351.0,16805.0')] ).
cnf(20559,plain,
equal(divide(multiply(u,v),w),divide(u,divide(w,v))),
inference(rew,[status(thm),theory(equality)],[20557,20542]),
[iquote('0:Rew:20557.0,20542.0')] ).
cnf(20571,plain,
equal(divide(u,multiply(divide(v,multiply(w,x)),w)),divide(u,divide(v,x))),
inference(rew,[status(thm),theory(equality)],[20559,20416]),
[iquote('0:Rew:20559.0,20416.0')] ).
cnf(20573,plain,
equal(divide(u,multiply(v,u)),divide(inverse(w),divide(v,w))),
inference(rew,[status(thm),theory(equality)],[20559,20446]),
[iquote('0:Rew:20559.0,20446.0')] ).
cnf(20589,plain,
equal(divide(inverse(u),divide(divide(v,multiply(w,v)),u)),w),
inference(rew,[status(thm),theory(equality)],[20559,20435]),
[iquote('0:Rew:20559.0,20435.0')] ).
cnf(20601,plain,
equal(divide(inverse(u),divide(v,multiply(u,multiply(w,v)))),w),
inference(rew,[status(thm),theory(equality)],[20351,20589]),
[iquote('0:Rew:20351.0,20589.0')] ).
cnf(20613,plain,
equal(divide(u,divide(inverse(v),divide(w,v))),multiply(u,w)),
inference(rew,[status(thm),theory(equality)],[19876,16807,20351,20173,20276,20559,20571]),
[iquote('0:Rew:19876.0,16807.0,20351.0,16807.0,20173.0,16807.0,20276.0,16807.0,20351.0,16807.0,19876.0,16807.0,20351.0,16807.0,19876.0,16807.0,20351.0,16807.0,20559.0,16807.0,20571.0,16807.0,20351.0,16807.0')] ).
cnf(20615,plain,
equal(divide(u,divide(v,multiply(w,v))),multiply(u,w)),
inference(rew,[status(thm),theory(equality)],[20613,20480]),
[iquote('0:Rew:20613.0,20480.0')] ).
cnf(20616,plain,
equal(divide(u,multiply(multiply(v,w),x)),divide(u,multiply(v,multiply(w,x)))),
inference(rew,[status(thm),theory(equality)],[20613,20475]),
[iquote('0:Rew:20613.0,20475.0')] ).
cnf(20617,plain,
equal(multiply(inverse(multiply(u,v)),u),inverse(v)),
inference(rew,[status(thm),theory(equality)],[20613,20477]),
[iquote('0:Rew:20613.0,20477.0')] ).
cnf(20627,plain,
equal(divide(u,multiply(v,multiply(w,u))),divide(inverse(w),v)),
inference(rew,[status(thm),theory(equality)],[20616,20450]),
[iquote('0:Rew:20616.0,20450.0')] ).
cnf(20633,plain,
equal(divide(inverse(u),divide(inverse(v),u)),v),
inference(rew,[status(thm),theory(equality)],[20627,20601]),
[iquote('0:Rew:20627.0,20601.0')] ).
cnf(20653,plain,
equal(divide(inverse(u),v),inverse(multiply(v,u))),
inference(rew,[status(thm),theory(equality)],[20615,16819,16867,20559,20412,20351]),
[iquote('0:Rew:20615.0,16819.0,16867.0,16819.0,20559.0,16819.0,20412.0,16819.0,20351.0,16819.0,20351.0,16819.0,20351.0,16819.0')] ).
cnf(20663,plain,
equal(divide(u,multiply(v,multiply(w,u))),inverse(multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[20653,20627]),
[iquote('0:Rew:20653.0,20627.0')] ).
cnf(20669,plain,
equal(divide(u,multiply(v,u)),inverse(multiply(divide(v,w),w))),
inference(rew,[status(thm),theory(equality)],[20653,20573]),
[iquote('0:Rew:20653.0,20573.0')] ).
cnf(20671,plain,
equal(inverse(multiply(divide(inverse(u),v),v)),u),
inference(rew,[status(thm),theory(equality)],[20653,20633]),
[iquote('0:Rew:20653.0,20633.0')] ).
cnf(20682,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[20617,20671,20653]),
[iquote('0:Rew:20617.0,20671.0,20653.0,20671.0')] ).
cnf(20683,plain,
equal(divide(u,multiply(v,u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[20276,20669]),
[iquote('0:Rew:20276.0,20669.0')] ).
cnf(20692,plain,
equal(multiply(u,multiply(inverse(u),v)),multiply(inverse(w),multiply(multiply(divide(x,x),w),v))),
inference(rew,[status(thm),theory(equality)],[20683,20427]),
[iquote('0:Rew:20683.0,20427.0')] ).
cnf(20783,plain,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[20682,17243,20653,20683,20351,20663,20616]),
[iquote('0:Rew:20682.0,17243.0,20653.0,17243.0,20683.0,17243.0,20351.0,17243.0,20682.0,17243.0,20653.0,17243.0,20663.0,17243.0,20616.0,17243.0,20351.0,17243.0')] ).
cnf(20785,plain,
~ equal(multiply(inverse(b2),multiply(b2,a2)),a2),
inference(rew,[status(thm),theory(equality)],[20783,3]),
[iquote('0:Rew:20783.0,3.0')] ).
cnf(20795,plain,
equal(multiply(u,multiply(inverse(u),v)),multiply(inverse(w),multiply(divide(x,x),multiply(w,v)))),
inference(rew,[status(thm),theory(equality)],[20783,20692]),
[iquote('0:Rew:20783.0,20692.0')] ).
cnf(20831,plain,
equal(multiply(divide(u,multiply(v,inverse(multiply(inverse(u),w)))),v),w),
inference(rew,[status(thm),theory(equality)],[20682,18748,20653,20559,20783,20683,20351]),
[iquote('0:Rew:20682.0,18748.0,20653.0,18748.0,20559.0,18748.0,20783.0,18748.0,20653.0,18748.0,20683.0,18748.0,20351.0,18748.0,20683.0,18748.0,20351.0,18748.0')] ).
cnf(20832,plain,
equal(multiply(divide(u,multiply(v,w)),v),divide(u,w)),
inference(rew,[status(thm),theory(equality)],[20682,18782,20653,20683,20351,20173,20559]),
[iquote('0:Rew:20682.0,18782.0,20653.0,18782.0,20683.0,18782.0,20351.0,18782.0,20173.0,18782.0,20173.0,18782.0,20683.0,18782.0,20351.0,18782.0,20559.0,18782.0')] ).
cnf(20834,plain,
equal(divide(u,inverse(multiply(inverse(u),v))),v),
inference(rew,[status(thm),theory(equality)],[20832,20831]),
[iquote('0:Rew:20832.0,20831.0')] ).
cnf(20836,plain,
equal(multiply(u,multiply(inverse(u),v)),v),
inference(rew,[status(thm),theory(equality)],[2,20834]),
[iquote('0:Rew:2.0,20834.0')] ).
cnf(20839,plain,
equal(multiply(inverse(u),multiply(divide(v,v),multiply(u,w))),w),
inference(rew,[status(thm),theory(equality)],[20836,20795]),
[iquote('0:Rew:20836.0,20795.0')] ).
cnf(21213,plain,
equal(multiply(u,multiply(divide(v,v),multiply(w,x))),multiply(u,multiply(w,x))),
inference(rew,[status(thm),theory(equality)],[20783,16882,20682,20683,20351]),
[iquote('0:Rew:20783.0,16882.0,20682.0,16882.0,20683.0,16882.0,20351.0,16882.0,20683.0,16882.0,20351.0,16882.0')] ).
cnf(21214,plain,
equal(multiply(inverse(u),multiply(u,v)),v),
inference(rew,[status(thm),theory(equality)],[21213,20839]),
[iquote('0:Rew:21213.0,20839.0')] ).
cnf(21218,plain,
$false,
inference(unc,[status(thm)],[21214,20785]),
[iquote('0:UnC:21214.0,20785.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP479-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 09:29:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 42.26/42.47
% 42.26/42.47 SPASS V 3.9
% 42.26/42.47 SPASS beiseite: Proof found.
% 42.26/42.47 % SZS status Theorem
% 42.26/42.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.26/42.47 SPASS derived 15898 clauses, backtracked 0 clauses, performed 0 splits and kept 5095 clauses.
% 42.26/42.47 SPASS allocated 114874 KBytes.
% 42.26/42.47 SPASS spent 0:0:42.06 on the problem.
% 42.26/42.47 0:00:00.03 for the input.
% 42.26/42.47 0:00:00.00 for the FLOTTER CNF translation.
% 42.26/42.47 0:00:00.14 for inferences.
% 42.26/42.47 0:00:00.00 for the backtracking.
% 42.26/42.47 0:0:41.86 for the reduction.
% 42.26/42.47
% 42.26/42.47
% 42.26/42.47 Here is a proof with depth 9, length 218 :
% 42.26/42.47 % SZS output start Refutation
% See solution above
% 42.66/42.84 Formulae used in the proof : single_axiom multiply prove_these_axioms_2
% 42.66/42.84
%------------------------------------------------------------------------------