TSTP Solution File: GRP426-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP426-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 11:47:25 EDT 2022
% Result : Unsatisfiable 1.30s 1.48s
% Output : Refutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 2
% Syntax : Number of clauses : 132 ( 132 unt; 0 nHn; 132 RR)
% Number of literals : 132 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(v),w)))),multiply(u,inverse(w)))),inverse(multiply(inverse(w),w))),v),
file('GRP426-1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP426-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w))))),multiply(inverse(multiply(x,inverse(multiply(inverse(v),w)))),multiply(x,inverse(w)))),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(5,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(v),w)))),multiply(u,inverse(w)))),inverse(multiply(inverse(x),multiply(inverse(w),w))))),v)),inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(w),w)))),x),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(33,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(w),w))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(w),w)))),inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(w),w)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(multiply(inverse(y),w)))),multiply(x,inverse(w)))),inverse(multiply(inverse(v),multiply(inverse(w),w))))),y)),
inference(spr,[status(thm),theory(equality)],[5,1]),
[iquote('0:SpR:5.0,1.0')] ).
cnf(49,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(x),multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w))))))),multiply(inverse(multiply(y,inverse(multiply(inverse(v),w)))),multiply(y,inverse(w))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w)))),multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w)))))),x),
inference(spr,[status(thm),theory(equality)],[1,5]),
[iquote('0:SpR:1.0,5.0')] ).
cnf(59,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(v),inverse(multiply(inverse(w),w)))),w)))),multiply(u,inverse(w))),v),
inference(spr,[status(thm),theory(equality)],[3,1]),
[iquote('0:SpR:3.0,1.0')] ).
cnf(68,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),w)))),multiply(u,inverse(w))),multiply(inverse(multiply(x,inverse(multiply(inverse(v),w)))),multiply(x,inverse(w)))),
inference(spr,[status(thm),theory(equality)],[3]),
[iquote('0:SpR:3.0,3.0')] ).
cnf(75,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(v,inverse(multiply(inverse(w),x)))))),multiply(u,inverse(inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x))))),inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x))))))),multiply(inverse(multiply(y,inverse(multiply(inverse(multiply(inverse(multiply(z,inverse(w))),multiply(z,inverse(inverse(multiply(inverse(x),x)))))),inverse(multiply(inverse(inverse(multiply(inverse(x),x))),inverse(multiply(inverse(x),x)))))))),multiply(y,inverse(multiply(v,inverse(x)))))),
inference(spr,[status(thm),theory(equality)],[3]),
[iquote('0:SpR:3.0,3.0')] ).
cnf(77,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(w),w))),v),
inference(spr,[status(thm),theory(equality)],[3,1]),
[iquote('0:SpR:3.0,1.0')] ).
cnf(101,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(w,inverse(x)))))),inverse(multiply(inverse(multiply(w,inverse(x))),multiply(w,inverse(x))))),multiply(w,inverse(multiply(inverse(multiply(inverse(v),inverse(multiply(inverse(x),x)))),x)))),
inference(spr,[status(thm),theory(equality)],[59,1]),
[iquote('0:SpR:59.0,1.0')] ).
cnf(102,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(w,inverse(x)))))),inverse(multiply(inverse(y),multiply(inverse(multiply(w,inverse(x))),multiply(w,inverse(x))))))),multiply(w,inverse(multiply(inverse(multiply(inverse(v),inverse(multiply(inverse(x),x)))),x))))),inverse(multiply(inverse(multiply(inverse(multiply(w,inverse(x))),multiply(w,inverse(x)))),multiply(inverse(multiply(w,inverse(x))),multiply(w,inverse(x)))))),y),
inference(spr,[status(thm),theory(equality)],[59,5]),
[iquote('0:SpR:59.0,5.0')] ).
cnf(103,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(v,inverse(multiply(inverse(multiply(inverse(w),inverse(multiply(inverse(x),x)))),x)))))),multiply(u,inverse(inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x))))),inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x))))))),multiply(inverse(multiply(y,inverse(w))),multiply(y,inverse(multiply(v,inverse(x)))))),
inference(spr,[status(thm),theory(equality)],[59,3]),
[iquote('0:SpR:59.0,3.0')] ).
cnf(124,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(w),w)))))),multiply(inverse(multiply(inverse(multiply(x,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(w),w)))),inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(w),w)))))),w)))),multiply(x,inverse(w)))),inverse(multiply(inverse(v),multiply(inverse(w),w))))),
inference(spr,[status(thm),theory(equality)],[5,59]),
[iquote('0:SpR:5.0,59.0')] ).
cnf(183,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(w,inverse(x))))),multiply(inverse(multiply(y,inverse(v))),multiply(y,inverse(multiply(w,inverse(x)))))),
inference(spr,[status(thm),theory(equality)],[59,68]),
[iquote('0:SpR:59.0,68.0')] ).
cnf(270,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w))),multiply(inverse(multiply(x,inverse(v))),multiply(x,inverse(w)))),
inference(spr,[status(thm),theory(equality)],[5,183]),
[iquote('0:SpR:5.0,183.0')] ).
cnf(351,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(v,inverse(w))),multiply(v,inverse(x)))))),multiply(u,inverse(multiply(y,inverse(x)))))),inverse(multiply(inverse(multiply(y,inverse(x))),multiply(y,inverse(x))))),multiply(y,inverse(w))),
inference(spr,[status(thm),theory(equality)],[270,1]),
[iquote('0:SpR:270.0,1.0')] ).
cnf(366,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(v,inverse(multiply(inverse(multiply(inverse(w),inverse(x))),multiply(inverse(w),inverse(x)))))),multiply(v,inverse(x)))))),multiply(u,inverse(multiply(inverse(w),inverse(x))))),w),
inference(spr,[status(thm),theory(equality)],[270,59]),
[iquote('0:SpR:270.0,59.0')] ).
cnf(388,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),v)))),multiply(u,inverse(w))),multiply(inverse(x),multiply(inverse(multiply(inverse(multiply(y,inverse(multiply(inverse(x),v)))),multiply(y,inverse(v)))),inverse(w)))),
inference(spr,[status(thm),theory(equality)],[1,270]),
[iquote('0:SpR:1.0,270.0')] ).
cnf(391,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v)))))),multiply(u,inverse(w))),multiply(inverse(multiply(inverse(multiply(x,inverse(multiply(inverse(y),v)))),multiply(x,inverse(v)))),multiply(inverse(multiply(inverse(multiply(z,inverse(y))),multiply(z,inverse(inverse(multiply(inverse(v),v)))))),inverse(w)))),
inference(spr,[status(thm),theory(equality)],[3,270]),
[iquote('0:SpR:3.0,270.0')] ).
cnf(394,plain,
equal(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),multiply(v,inverse(x)))),inverse(multiply(inverse(x),x)))),x))),multiply(u,inverse(w))),
inference(rew,[status(thm),theory(equality)],[101,351]),
[iquote('0:Rew:101.0,351.0')] ).
cnf(423,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(w),w))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(v))),multiply(x,inverse(y)))),inverse(multiply(inverse(y),y)))),y)),
inference(spr,[status(thm),theory(equality)],[394,77]),
[iquote('0:SpR:394.0,77.0')] ).
cnf(468,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w)))),inverse(multiply(inverse(w),w)))),w),v),
inference(rew,[status(thm),theory(equality)],[77,423]),
[iquote('0:Rew:77.0,423.0')] ).
cnf(506,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(w))))),inverse(multiply(inverse(inverse(w)),inverse(w))))),inverse(multiply(inverse(multiply(inverse(x),inverse(multiply(inverse(w),w)))),w)))),v),x),
inference(spr,[status(thm),theory(equality)],[468,59]),
[iquote('0:SpR:468.0,59.0')] ).
cnf(522,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(y))),multiply(x,inverse(inverse(w))))),inverse(multiply(inverse(inverse(w)),inverse(w))))),inverse(v))),y)),
inference(spr,[status(thm),theory(equality)],[468,270]),
[iquote('0:SpR:468.0,270.0')] ).
cnf(566,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(v,inverse(multiply(inverse(w),w)))))),multiply(u,inverse(inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x))))),inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x))))))),multiply(inverse(multiply(y,inverse(multiply(inverse(z),multiply(inverse(multiply(inverse(multiply(x1,inverse(multiply(inverse(z),w)))),multiply(x1,inverse(w)))),inverse(x)))))),multiply(y,inverse(multiply(v,inverse(x)))))),
inference(spr,[status(thm),theory(equality)],[388,3]),
[iquote('0:SpR:388.0,3.0')] ).
cnf(588,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(w,inverse(multiply(inverse(v),x)))),multiply(w,inverse(x)))),inverse(y))),multiply(inverse(multiply(inverse(multiply(w,inverse(multiply(inverse(v),x)))),multiply(w,inverse(x)))),inverse(y)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(w,inverse(multiply(inverse(v),x)))),multiply(w,inverse(x)))),inverse(y))),multiply(inverse(multiply(inverse(multiply(w,inverse(multiply(inverse(v),x)))),multiply(w,inverse(x)))),inverse(y))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(w,inverse(multiply(inverse(v),x)))),multiply(w,inverse(x)))),inverse(y))),multiply(inverse(multiply(inverse(multiply(w,inverse(multiply(inverse(v),x)))),multiply(w,inverse(x)))),inverse(y))))))),multiply(inverse(multiply(z,inverse(multiply(inverse(multiply(x1,inverse(multiply(inverse(x),x)))),multiply(x1,inverse(y)))))),multiply(z,inverse(multiply(inverse(multiply(inverse(multiply(w,inverse(multiply(inverse(v),x)))),multiply(w,inverse(x)))),inverse(y)))))),
inference(spr,[status(thm),theory(equality)],[388,3]),
[iquote('0:SpR:388.0,3.0')] ).
cnf(635,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),v)))),multiply(u,inverse(multiply(inverse(v),v)))),multiply(inverse(w),w)),
inference(spr,[status(thm),theory(equality)],[1,388]),
[iquote('0:SpR:1.0,388.0')] ).
cnf(730,plain,
equal(multiply(inverse(u),u),multiply(inverse(v),v)),
inference(spr,[status(thm),theory(equality)],[635]),
[iquote('0:SpR:635.0,635.0')] ).
cnf(743,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(v),w)))),multiply(u,inverse(w)))),inverse(multiply(inverse(multiply(x,inverse(multiply(inverse(y),y)))),multiply(x,inverse(multiply(inverse(y),y)))))),v),
inference(spr,[status(thm),theory(equality)],[635,1]),
[iquote('0:SpR:635.0,1.0')] ).
cnf(767,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(v),w)))),multiply(u,inverse(w)))),inverse(multiply(inverse(multiply(x,inverse(multiply(inverse(y),y)))),multiply(x,inverse(multiply(inverse(y),y))))))),v)),inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(w),w)))),multiply(inverse(w),w)),
inference(spr,[status(thm),theory(equality)],[635,5]),
[iquote('0:SpR:635.0,5.0')] ).
cnf(820,plain,
equal(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(multiply(inverse(v),v)),multiply(inverse(v),v)))),multiply(inverse(v),v)),
inference(rew,[status(thm),theory(equality)],[743,767]),
[iquote('0:Rew:743.0,767.0')] ).
cnf(837,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(v),v)))),v),v),
inference(spr,[status(thm),theory(equality)],[730,468]),
[iquote('0:SpR:730.0,468.0')] ).
cnf(875,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(v),w)))),multiply(u,inverse(w)))),inverse(multiply(inverse(x),x))),v),
inference(spr,[status(thm),theory(equality)],[730,1]),
[iquote('0:SpR:730.0,1.0')] ).
cnf(878,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(v),inverse(multiply(inverse(w),w)))),x)))),multiply(u,inverse(x))),v),
inference(spr,[status(thm),theory(equality)],[730,59]),
[iquote('0:SpR:730.0,59.0')] ).
cnf(879,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w)))),inverse(multiply(inverse(x),x)))),w),v),
inference(spr,[status(thm),theory(equality)],[730,468]),
[iquote('0:SpR:730.0,468.0')] ).
cnf(881,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(v),v)))),multiply(u,inverse(w)))),inverse(multiply(inverse(w),w))),w),
inference(spr,[status(thm),theory(equality)],[730,1]),
[iquote('0:SpR:730.0,1.0')] ).
cnf(899,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),v)))),multiply(u,inverse(w))),multiply(inverse(v),multiply(inverse(multiply(inverse(multiply(x,inverse(multiply(inverse(y),y)))),multiply(x,inverse(v)))),inverse(w)))),
inference(spr,[status(thm),theory(equality)],[730,388]),
[iquote('0:SpR:730.0,388.0')] ).
cnf(902,plain,
equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(multiply(inverse(multiply(inverse(v),inverse(multiply(inverse(u),u)))),u)))),multiply(inverse(w),w)),v),
inference(spr,[status(thm),theory(equality)],[730,59]),
[iquote('0:SpR:730.0,59.0')] ).
cnf(908,plain,
equal(multiply(inverse(multiply(inverse(u),u)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(v),inverse(multiply(inverse(w),w)))),w))),inverse(w))),v),
inference(spr,[status(thm),theory(equality)],[730,59]),
[iquote('0:SpR:730.0,59.0')] ).
cnf(916,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(x),x))),multiply(inverse(multiply(y,inverse(multiply(inverse(v),w)))),multiply(y,inverse(w)))),
inference(spr,[status(thm),theory(equality)],[730,3]),
[iquote('0:SpR:730.0,3.0')] ).
cnf(922,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w))),multiply(inverse(multiply(inverse(inverse(w)),inverse(v))),multiply(inverse(x),x))),
inference(spr,[status(thm),theory(equality)],[730,270]),
[iquote('0:SpR:730.0,270.0')] ).
cnf(926,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),v)))),multiply(u,inverse(w))),multiply(inverse(x),multiply(inverse(multiply(inverse(multiply(inverse(y),y)),multiply(inverse(inverse(multiply(inverse(x),v))),inverse(v)))),inverse(w)))),
inference(spr,[status(thm),theory(equality)],[730,388]),
[iquote('0:SpR:730.0,388.0')] ).
cnf(962,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w))),multiply(inverse(inverse(v)),multiply(inverse(multiply(inverse(multiply(inverse(x),x)),inverse(multiply(inverse(inverse(v)),inverse(v))))),inverse(w)))),
inference(spr,[status(thm),theory(equality)],[837,270]),
[iquote('0:SpR:837.0,270.0')] ).
cnf(965,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(v),v)))),w),w),
inference(spr,[status(thm),theory(equality)],[730,837]),
[iquote('0:SpR:730.0,837.0')] ).
cnf(971,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w))),multiply(inverse(inverse(v)),inverse(w))),
inference(rew,[status(thm),theory(equality)],[965,962]),
[iquote('0:Rew:965.0,962.0')] ).
cnf(976,plain,
equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(u),inverse(multiply(inverse(v),v)))),w))),inverse(w)),u),
inference(rew,[status(thm),theory(equality)],[971,878]),
[iquote('0:Rew:971.0,878.0')] ).
cnf(984,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(inverse(w)),inverse(w))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(w)),inverse(w)))),inverse(multiply(inverse(inverse(w)),inverse(w)))))),multiply(inverse(multiply(x,inverse(multiply(inverse(multiply(y,inverse(multiply(inverse(z),z)))),multiply(y,inverse(w)))))),multiply(x,inverse(multiply(inverse(multiply(inverse(multiply(x1,inverse(multiply(inverse(v),z)))),multiply(x1,inverse(z)))),inverse(w)))))),
inference(rew,[status(thm),theory(equality)],[971,588]),
[iquote('0:Rew:971.0,588.0')] ).
cnf(998,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(u,inverse(multiply(inverse(v),v))))),inverse(inverse(multiply(inverse(multiply(u,inverse(w))),multiply(u,inverse(w))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(u,inverse(w))),multiply(u,inverse(w))))),inverse(multiply(inverse(multiply(u,inverse(w))),multiply(u,inverse(w))))))),multiply(inverse(multiply(x,inverse(multiply(inverse(y),multiply(inverse(multiply(inverse(multiply(z,inverse(multiply(inverse(y),v)))),multiply(z,inverse(v)))),inverse(w)))))),multiply(x,inverse(multiply(u,inverse(w)))))),
inference(rew,[status(thm),theory(equality)],[971,566]),
[iquote('0:Rew:971.0,566.0')] ).
cnf(1014,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(u)),inverse(inverse(v)))),inverse(multiply(inverse(inverse(v)),inverse(v))))),inverse(multiply(inverse(multiply(inverse(w),inverse(multiply(inverse(v),v)))),v)))),u),w),
inference(rew,[status(thm),theory(equality)],[971,506]),
[iquote('0:Rew:971.0,506.0')] ).
cnf(1019,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(x)),inverse(inverse(w)))),inverse(multiply(inverse(inverse(w)),inverse(w))))),inverse(v))),x)),
inference(rew,[status(thm),theory(equality)],[971,522]),
[iquote('0:Rew:971.0,522.0')] ).
cnf(1021,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(v),v)))))),multiply(u,inverse(w))),multiply(inverse(multiply(inverse(multiply(x,inverse(multiply(inverse(y),v)))),multiply(x,inverse(v)))),multiply(inverse(multiply(inverse(inverse(y)),inverse(inverse(multiply(inverse(v),v))))),inverse(w)))),
inference(rew,[status(thm),theory(equality)],[971,391]),
[iquote('0:Rew:971.0,391.0')] ).
cnf(1026,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(u)),inverse(v))),inverse(multiply(inverse(w),w)))),v),u),
inference(rew,[status(thm),theory(equality)],[971,879]),
[iquote('0:Rew:971.0,879.0')] ).
cnf(1028,plain,
equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(v))),multiply(inverse(w),w)),multiply(inverse(inverse(v)),inverse(u))),
inference(rew,[status(thm),theory(equality)],[971,922]),
[iquote('0:Rew:971.0,922.0')] ).
cnf(1035,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(v,inverse(multiply(inverse(inverse(w)),inverse(w))))),multiply(v,inverse(w)))))),multiply(u,inverse(multiply(inverse(x),inverse(w))))),x),
inference(rew,[status(thm),theory(equality)],[971,366]),
[iquote('0:Rew:971.0,366.0')] ).
cnf(1055,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),v)))),multiply(u,inverse(w))),multiply(inverse(v),multiply(inverse(multiply(inverse(inverse(multiply(inverse(x),x))),inverse(v))),inverse(w)))),
inference(rew,[status(thm),theory(equality)],[971,899]),
[iquote('0:Rew:971.0,899.0')] ).
cnf(1070,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(v))),inverse(multiply(inverse(v),v))),v),
inference(rew,[status(thm),theory(equality)],[971,881]),
[iquote('0:Rew:971.0,881.0')] ).
cnf(1072,plain,
equal(multiply(inverse(u),multiply(inverse(multiply(inverse(multiply(inverse(v),v)),multiply(inverse(inverse(multiply(inverse(u),w))),inverse(w)))),inverse(x))),multiply(inverse(inverse(multiply(inverse(w),w))),inverse(x))),
inference(rew,[status(thm),theory(equality)],[971,926]),
[iquote('0:Rew:971.0,926.0')] ).
cnf(1084,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(x),multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w))))))),multiply(inverse(multiply(y,inverse(multiply(inverse(v),w)))),multiply(y,inverse(w))))),inverse(multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w))))),x),
inference(rew,[status(thm),theory(equality)],[971,49]),
[iquote('0:Rew:971.0,49.0')] ).
cnf(1090,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(v,inverse(multiply(inverse(multiply(inverse(w),inverse(multiply(inverse(x),x)))),x)))))),multiply(u,inverse(inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x))))),inverse(multiply(inverse(multiply(v,inverse(x))),multiply(v,inverse(x))))))),multiply(inverse(inverse(w)),inverse(multiply(v,inverse(x))))),
inference(rew,[status(thm),theory(equality)],[971,103]),
[iquote('0:Rew:971.0,103.0')] ).
cnf(1094,plain,
equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(multiply(v,inverse(w))))),inverse(multiply(inverse(multiply(v,inverse(w))),multiply(v,inverse(w))))),multiply(v,inverse(multiply(inverse(multiply(inverse(u),inverse(multiply(inverse(w),w)))),w)))),
inference(rew,[status(thm),theory(equality)],[971,101]),
[iquote('0:Rew:971.0,101.0')] ).
cnf(1095,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(u)),inverse(multiply(v,inverse(w))))),inverse(multiply(inverse(x),multiply(inverse(multiply(v,inverse(w))),multiply(v,inverse(w))))))),multiply(v,inverse(multiply(inverse(multiply(inverse(u),inverse(multiply(inverse(w),w)))),w))))),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),multiply(v,inverse(w)))),multiply(inverse(multiply(v,inverse(w))),multiply(v,inverse(w)))))),x),
inference(rew,[status(thm),theory(equality)],[971,102]),
[iquote('0:Rew:971.0,102.0')] ).
cnf(1098,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(u,inverse(multiply(inverse(v),w))))),inverse(inverse(multiply(inverse(multiply(u,inverse(w))),multiply(u,inverse(w))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(u,inverse(w))),multiply(u,inverse(w))))),inverse(multiply(inverse(multiply(u,inverse(w))),multiply(u,inverse(w))))))),multiply(inverse(multiply(x,inverse(multiply(inverse(multiply(inverse(multiply(y,inverse(v))),multiply(y,inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w)))))))),multiply(x,inverse(multiply(u,inverse(w)))))),
inference(rew,[status(thm),theory(equality)],[971,75]),
[iquote('0:Rew:971.0,75.0')] ).
cnf(1128,plain,
equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(inverse(multiply(inverse(multiply(inverse(v),v)),multiply(inverse(v),v)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(v),v)),multiply(inverse(v),v)))),inverse(multiply(inverse(multiply(inverse(v),v)),multiply(inverse(v),v)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(w,inverse(multiply(inverse(x),v)))),multiply(w,inverse(v)))),inverse(multiply(inverse(u),multiply(inverse(v),v))))),x)),
inference(rew,[status(thm),theory(equality)],[971,33]),
[iquote('0:Rew:971.0,33.0')] ).
cnf(1132,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(v),v)),multiply(inverse(v),v)))),inverse(multiply(inverse(multiply(inverse(v),v)),multiply(inverse(v),v)))))),v)))),multiply(u,inverse(v)))),inverse(multiply(inverse(w),multiply(inverse(v),v)))),multiply(inverse(inverse(w)),inverse(inverse(multiply(inverse(multiply(inverse(v),v)),multiply(inverse(v),v)))))),
inference(rew,[status(thm),theory(equality)],[971,124]),
[iquote('0:Rew:971.0,124.0')] ).
cnf(1138,plain,
equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(inverse(multiply(inverse(v),v))))),inverse(multiply(inverse(w),w))),multiply(inverse(multiply(x,inverse(multiply(inverse(u),v)))),multiply(x,inverse(v)))),
inference(rew,[status(thm),theory(equality)],[971,916]),
[iquote('0:Rew:971.0,916.0')] ).
cnf(1192,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),v))),inverse(v))),inverse(multiply(inverse(w),w))),u),
inference(rew,[status(thm),theory(equality)],[971,875]),
[iquote('0:Rew:971.0,875.0')] ).
cnf(1194,plain,
equal(multiply(inverse(multiply(inverse(u),u)),v),v),
inference(rew,[status(thm),theory(equality)],[976,908]),
[iquote('0:Rew:976.0,908.0')] ).
cnf(1200,plain,
equal(inverse(multiply(inverse(multiply(inverse(u),u)),multiply(inverse(u),u))),multiply(inverse(u),u)),
inference(rew,[status(thm),theory(equality)],[1194,820]),
[iquote('0:Rew:1194.0,820.0')] ).
cnf(1210,plain,
equal(inverse(multiply(inverse(u),u)),multiply(inverse(u),u)),
inference(rew,[status(thm),theory(equality)],[1194,1200]),
[iquote('0:Rew:1194.0,1200.0')] ).
cnf(1212,plain,
equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(u),multiply(inverse(v),v))),w))),inverse(w)),u),
inference(rew,[status(thm),theory(equality)],[1210,976]),
[iquote('0:Rew:1210.0,976.0')] ).
cnf(1215,plain,
equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(multiply(inverse(multiply(inverse(v),multiply(inverse(u),u))),u)))),multiply(inverse(w),w)),v),
inference(rew,[status(thm),theory(equality)],[1210,902]),
[iquote('0:Rew:1210.0,902.0')] ).
cnf(1219,plain,
equal(multiply(multiply(inverse(u),u),v),v),
inference(rew,[status(thm),theory(equality)],[1210,1194]),
[iquote('0:Rew:1210.0,1194.0')] ).
cnf(1222,plain,
equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(u)),inverse(v))),multiply(inverse(w),w))),v),u),
inference(rew,[status(thm),theory(equality)],[1210,1026]),
[iquote('0:Rew:1210.0,1026.0')] ).
cnf(1224,plain,
equal(multiply(inverse(inverse(u)),multiply(inverse(u),u)),u),
inference(rew,[status(thm),theory(equality)],[1219,1070,1210]),
[iquote('0:Rew:1219.0,1070.0,1210.0,1070.0,1210.0,1070.0,1210.0,1070.0')] ).
cnf(1225,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),v))),inverse(v))),multiply(inverse(w),w)),u),
inference(rew,[status(thm),theory(equality)],[1210,1192]),
[iquote('0:Rew:1210.0,1192.0')] ).
cnf(1229,plain,
equal(multiply(inverse(inverse(u)),inverse(multiply(inverse(v),u))),v),
inference(rew,[status(thm),theory(equality)],[1028,1225]),
[iquote('0:Rew:1028.0,1225.0')] ).
cnf(1230,plain,
equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(v))),u),v),
inference(rew,[status(thm),theory(equality)],[1028,1222]),
[iquote('0:Rew:1028.0,1222.0')] ).
cnf(1232,plain,
equal(multiply(inverse(multiply(inverse(u),multiply(inverse(v),v))),multiply(inverse(w),w)),u),
inference(rew,[status(thm),theory(equality)],[1229,1215]),
[iquote('0:Rew:1229.0,1215.0')] ).
cnf(1238,plain,
equal(multiply(inverse(inverse(multiply(inverse(multiply(u,multiply(inverse(inverse(v)),inverse(v)))),multiply(u,inverse(v))))),inverse(multiply(inverse(w),inverse(v)))),w),
inference(rew,[status(thm),theory(equality)],[971,1035,1210]),
[iquote('0:Rew:971.0,1035.0,1210.0,1035.0')] ).
cnf(1241,plain,
equal(multiply(inverse(multiply(u,multiply(inverse(v),v))),multiply(u,inverse(w))),multiply(inverse(v),multiply(inverse(inverse(v)),inverse(w)))),
inference(rew,[status(thm),theory(equality)],[1210,1055,1219]),
[iquote('0:Rew:1210.0,1055.0,1219.0,1055.0,1210.0,1055.0,1210.0,1055.0')] ).
cnf(1243,plain,
equal(multiply(inverse(inverse(multiply(inverse(inverse(u)),multiply(inverse(inverse(inverse(u))),inverse(u))))),inverse(multiply(inverse(v),inverse(u)))),v),
inference(rew,[status(thm),theory(equality)],[1241,1238]),
[iquote('0:Rew:1241.0,1238.0')] ).
cnf(1247,plain,
equal(multiply(inverse(inverse(multiply(inverse(u),v))),inverse(v)),inverse(u)),
inference(rew,[status(thm),theory(equality)],[1232,1138,1210,971]),
[iquote('0:Rew:1232.0,1138.0,1210.0,1138.0,1210.0,1138.0,1210.0,1138.0,971.0,1138.0')] ).
cnf(1251,plain,
equal(inverse(multiply(inverse(u),multiply(inverse(v),v))),u),
inference(rew,[status(thm),theory(equality)],[1247,1212]),
[iquote('0:Rew:1247.0,1212.0')] ).
cnf(1252,plain,
equal(multiply(u,multiply(inverse(v),v)),u),
inference(rew,[status(thm),theory(equality)],[1251,1232]),
[iquote('0:Rew:1251.0,1232.0')] ).
cnf(1255,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[1252,1224]),
[iquote('0:Rew:1252.0,1224.0')] ).
cnf(1257,plain,
equal(inverse(multiply(inverse(inverse(u)),inverse(v))),multiply(inverse(inverse(v)),inverse(u))),
inference(rew,[status(thm),theory(equality)],[1252,1028]),
[iquote('0:Rew:1252.0,1028.0')] ).
cnf(1258,plain,
equal(multiply(inverse(inverse(multiply(inverse(inverse(u)),multiply(inverse(u),inverse(u))))),inverse(multiply(inverse(v),inverse(u)))),v),
inference(rew,[status(thm),theory(equality)],[1255,1243]),
[iquote('0:Rew:1255.0,1243.0')] ).
cnf(1259,plain,
equal(multiply(inverse(multiply(u,inverse(v))),u),v),
inference(rew,[status(thm),theory(equality)],[1255,1230]),
[iquote('0:Rew:1255.0,1230.0')] ).
cnf(1261,plain,
equal(multiply(multiply(inverse(u),v),inverse(v)),inverse(u)),
inference(rew,[status(thm),theory(equality)],[1255,1247]),
[iquote('0:Rew:1255.0,1247.0')] ).
cnf(1262,plain,
equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(w))),multiply(v,inverse(w))),
inference(rew,[status(thm),theory(equality)],[1255,971]),
[iquote('0:Rew:1255.0,971.0')] ).
cnf(1263,plain,
equal(inverse(multiply(u,inverse(v))),multiply(v,inverse(u))),
inference(rew,[status(thm),theory(equality)],[1255,1257]),
[iquote('0:Rew:1255.0,1257.0,1255.0,1257.0')] ).
cnf(1264,plain,
equal(multiply(multiply(u,inverse(v)),v),u),
inference(rew,[status(thm),theory(equality)],[1263,1259]),
[iquote('0:Rew:1263.0,1259.0')] ).
cnf(1266,plain,
equal(multiply(multiply(u,inverse(v)),multiply(v,inverse(w))),multiply(u,inverse(w))),
inference(rew,[status(thm),theory(equality)],[1263,1262]),
[iquote('0:Rew:1263.0,1262.0')] ).
cnf(1271,plain,
equal(multiply(multiply(u,multiply(inverse(u),inverse(u))),multiply(u,v)),v),
inference(rew,[status(thm),theory(equality)],[1255,1258,1263]),
[iquote('0:Rew:1255.0,1258.0,1255.0,1258.0,1255.0,1258.0,1263.0,1258.0')] ).
cnf(1278,plain,
equal(multiply(inverse(u),multiply(u,inverse(v))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[1255,1072,1219,1210,1261]),
[iquote('0:Rew:1255.0,1072.0,1219.0,1072.0,1210.0,1072.0,1261.0,1072.0,1255.0,1072.0,1219.0,1072.0,1210.0,1072.0,1210.0,1072.0')] ).
cnf(1288,plain,
equal(multiply(multiply(u,multiply(inverse(multiply(v,w)),multiply(w,inverse(w)))),v),multiply(u,inverse(w))),
inference(rew,[status(thm),theory(equality)],[1266,1019,1263,1255]),
[iquote('0:Rew:1266.0,1019.0,1263.0,1019.0,1255.0,1019.0,1263.0,1019.0,1255.0,1019.0,1263.0,1019.0,1255.0,1019.0')] ).
cnf(1290,plain,
equal(multiply(multiply(u,v),inverse(v)),u),
inference(rew,[status(thm),theory(equality)],[1288,1014,1255,1263,1252,1210]),
[iquote('0:Rew:1288.0,1014.0,1255.0,1014.0,1263.0,1014.0,1255.0,1014.0,1263.0,1014.0,1255.0,1014.0,1255.0,1014.0,1252.0,1014.0,1210.0,1014.0')] ).
cnf(1298,plain,
equal(multiply(inverse(multiply(u,multiply(v,inverse(w)))),multiply(v,inverse(v))),multiply(w,inverse(multiply(u,v)))),
inference(rew,[status(thm),theory(equality)],[1263,1094,1266,1255,1252,1210]),
[iquote('0:Rew:1263.0,1094.0,1266.0,1094.0,1263.0,1094.0,1255.0,1094.0,1252.0,1094.0,1210.0,1094.0')] ).
cnf(1350,plain,
equal(multiply(u,multiply(inverse(u),inverse(v))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[1278,1021,1252,1210,1255,1290,1266,1263]),
[iquote('0:Rew:1278.0,1021.0,1252.0,1021.0,1210.0,1021.0,1252.0,1021.0,1255.0,1021.0,1290.0,1021.0,1266.0,1021.0,1263.0,1021.0,1252.0,1021.0,1255.0,1021.0,1210.0,1021.0,1210.0,1021.0')] ).
cnf(1351,plain,
equal(multiply(inverse(u),multiply(u,v)),v),
inference(rew,[status(thm),theory(equality)],[1350,1271]),
[iquote('0:Rew:1350.0,1271.0')] ).
cnf(1402,plain,
equal(multiply(u,multiply(inverse(u),v)),v),
inference(rew,[status(thm),theory(equality)],[1252,1084,1255,1263,1264,1290,1266,1210]),
[iquote('0:Rew:1252.0,1084.0,1255.0,1084.0,1263.0,1084.0,1264.0,1084.0,1263.0,1084.0,1252.0,1084.0,1255.0,1084.0,1252.0,1084.0,1290.0,1084.0,1266.0,1084.0,1263.0,1084.0,1210.0,1084.0,1252.0,1084.0,1210.0,1084.0,1210.0,1084.0')] ).
cnf(1405,plain,
equal(multiply(multiply(u,inverse(u)),v),v),
inference(rew,[status(thm),theory(equality)],[1263,1132,1266,1219,1210,1252,1255]),
[iquote('0:Rew:1263.0,1132.0,1266.0,1132.0,1263.0,1132.0,1219.0,1132.0,1210.0,1132.0,1210.0,1132.0,1252.0,1132.0,1255.0,1132.0,1252.0,1132.0,1252.0,1132.0,1255.0,1132.0,1210.0,1132.0,1210.0,1132.0,1252.0,1132.0,1210.0,1132.0')] ).
cnf(1418,plain,
equal(multiply(inverse(multiply(multiply(multiply(inverse(u),multiply(v,inverse(v))),multiply(w,multiply(v,inverse(x)))),multiply(x,inverse(multiply(w,v))))),multiply(v,inverse(v))),u),
inference(rew,[status(thm),theory(equality)],[1255,1095,1263,1252,1210,1405,1266]),
[iquote('0:Rew:1255.0,1095.0,1263.0,1095.0,1255.0,1095.0,1252.0,1095.0,1210.0,1095.0,1263.0,1095.0,1405.0,1095.0,1263.0,1095.0,1266.0,1095.0,1263.0,1095.0')] ).
cnf(1427,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,multiply(multiply(v,w),inverse(x)))),multiply(u,multiply(w,inverse(w))))),multiply(w,inverse(w))),multiply(v,multiply(w,inverse(x)))),
inference(rew,[status(thm),theory(equality)],[1263,1090,1255,1252,1210,1405,1266]),
[iquote('0:Rew:1263.0,1090.0,1255.0,1090.0,1252.0,1090.0,1210.0,1090.0,1263.0,1090.0,1405.0,1090.0,1263.0,1090.0,1263.0,1090.0,1266.0,1090.0,1255.0,1090.0,1263.0,1090.0')] ).
cnf(1428,plain,
equal(multiply(inverse(multiply(u,v)),u),inverse(v)),
inference(rew,[status(thm),theory(equality)],[1252,1128,1210,1255,1290,1266,1263]),
[iquote('0:Rew:1252.0,1128.0,1252.0,1128.0,1210.0,1128.0,1252.0,1128.0,1210.0,1128.0,1210.0,1128.0,1252.0,1128.0,1210.0,1128.0,1255.0,1128.0,1290.0,1128.0,1266.0,1128.0,1263.0,1128.0,1255.0,1128.0,1252.0,1128.0')] ).
cnf(1436,plain,
equal(multiply(inverse(multiply(multiply(u,inverse(v)),multiply(v,multiply(w,inverse(w))))),multiply(w,inverse(w))),multiply(inverse(multiply(x,w)),multiply(x,multiply(w,inverse(u))))),
inference(rew,[status(thm),theory(equality)],[1263,984,1405,1255,1351,1252,1210,1290,1266]),
[iquote('0:Rew:1263.0,984.0,1263.0,984.0,1405.0,984.0,1263.0,984.0,1263.0,984.0,1255.0,984.0,1351.0,984.0,1252.0,984.0,1210.0,984.0,1263.0,984.0,1255.0,984.0,1290.0,984.0,1266.0,984.0,1263.0,984.0')] ).
cnf(1450,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(v,inverse(w)))),multiply(v,inverse(multiply(w,v)))),
inference(rew,[status(thm),theory(equality)],[1298,998,1255,1252,1210,1263,1405,1266,1351,1290]),
[iquote('0:Rew:1298.0,998.0,1255.0,998.0,1252.0,998.0,1210.0,998.0,1263.0,998.0,1405.0,998.0,1263.0,998.0,1263.0,998.0,1266.0,998.0,1255.0,998.0,1351.0,998.0,1255.0,998.0,1290.0,998.0,1266.0,998.0,1263.0,998.0,1263.0,998.0')] ).
cnf(1452,plain,
equal(multiply(inverse(multiply(multiply(u,inverse(v)),multiply(v,multiply(w,inverse(w))))),multiply(w,inverse(w))),multiply(w,inverse(multiply(u,w)))),
inference(rew,[status(thm),theory(equality)],[1450,1436]),
[iquote('0:Rew:1450.0,1436.0')] ).
cnf(1475,plain,
equal(multiply(u,inverse(multiply(multiply(v,inverse(multiply(inverse(w),u))),u))),multiply(inverse(multiply(x,w)),multiply(x,multiply(u,inverse(v))))),
inference(rew,[status(thm),theory(equality)],[1298,1098,1263,1405,1266,1255,1252,1264,1210]),
[iquote('0:Rew:1298.0,1098.0,1263.0,1098.0,1263.0,1098.0,1263.0,1098.0,1405.0,1098.0,1263.0,1098.0,1263.0,1098.0,1266.0,1098.0,1255.0,1098.0,1252.0,1098.0,1264.0,1098.0,1263.0,1098.0,1252.0,1098.0,1210.0,1098.0,1252.0,1098.0,1210.0,1098.0,1210.0,1098.0,1263.0,1098.0')] ).
cnf(1532,plain,
equal(multiply(u,multiply(v,inverse(v))),u),
inference(spr,[status(thm),theory(equality)],[1255,1252]),
[iquote('0:SpR:1255.0,1252.0')] ).
cnf(1536,plain,
equal(multiply(inverse(multiply(multiply(inverse(u),multiply(v,multiply(w,inverse(x)))),multiply(x,inverse(multiply(v,w))))),multiply(w,inverse(w))),u),
inference(rew,[status(thm),theory(equality)],[1532,1418]),
[iquote('0:Rew:1532.0,1418.0')] ).
cnf(1540,plain,
equal(inverse(multiply(multiply(u,inverse(v)),multiply(v,multiply(w,inverse(w))))),multiply(w,inverse(multiply(u,w)))),
inference(rew,[status(thm),theory(equality)],[1532,1452]),
[iquote('0:Rew:1532.0,1452.0')] ).
cnf(1542,plain,
equal(inverse(multiply(inverse(multiply(u,multiply(multiply(v,w),inverse(x)))),multiply(u,multiply(w,inverse(w))))),multiply(v,multiply(w,inverse(x)))),
inference(rew,[status(thm),theory(equality)],[1532,1427]),
[iquote('0:Rew:1532.0,1427.0')] ).
cnf(1552,plain,
equal(multiply(multiply(u,inverse(multiply(v,w))),v),multiply(u,inverse(w))),
inference(rew,[status(thm),theory(equality)],[1532,1288]),
[iquote('0:Rew:1532.0,1288.0')] ).
cnf(1553,plain,
equal(inverse(multiply(u,multiply(v,inverse(w)))),multiply(w,inverse(multiply(u,v)))),
inference(rew,[status(thm),theory(equality)],[1532,1298]),
[iquote('0:Rew:1532.0,1298.0')] ).
cnf(1563,plain,
equal(multiply(u,inverse(multiply(v,u))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[1264,1540,1532]),
[iquote('0:Rew:1264.0,1540.0,1532.0,1540.0')] ).
cnf(1564,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,inverse(x)))),inverse(multiply(x,inverse(multiply(inverse(v),w))))),
inference(rew,[status(thm),theory(equality)],[1563,1475]),
[iquote('0:Rew:1563.0,1475.0')] ).
cnf(1569,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,inverse(x)))),multiply(multiply(inverse(v),w),inverse(x))),
inference(rew,[status(thm),theory(equality)],[1263,1564]),
[iquote('0:Rew:1263.0,1564.0')] ).
cnf(1573,plain,
equal(multiply(multiply(u,v),inverse(multiply(multiply(inverse(w),multiply(u,multiply(v,inverse(x)))),x))),w),
inference(rew,[status(thm),theory(equality)],[1532,1536,1553]),
[iquote('0:Rew:1532.0,1536.0,1553.0,1536.0')] ).
cnf(1574,plain,
equal(multiply(multiply(u,v),inverse(w)),multiply(u,multiply(v,inverse(w)))),
inference(rew,[status(thm),theory(equality)],[1263,1542,1552,1553,1532]),
[iquote('0:Rew:1263.0,1542.0,1552.0,1542.0,1553.0,1542.0,1532.0,1542.0')] ).
cnf(1575,plain,
equal(multiply(u,multiply(v,inverse(multiply(multiply(inverse(w),multiply(u,multiply(v,inverse(x)))),x)))),w),
inference(rew,[status(thm),theory(equality)],[1574,1573]),
[iquote('0:Rew:1574.0,1573.0')] ).
cnf(1579,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,inverse(x)))),multiply(inverse(v),multiply(w,inverse(x)))),
inference(rew,[status(thm),theory(equality)],[1574,1569]),
[iquote('0:Rew:1574.0,1569.0')] ).
cnf(1626,plain,
equal(inverse(multiply(inverse(u),v)),multiply(inverse(v),u)),
inference(spr,[status(thm),theory(equality)],[1428,1264]),
[iquote('0:SpR:1428.0,1264.0')] ).
cnf(1630,plain,
equal(multiply(inverse(u),inverse(v)),inverse(multiply(v,u))),
inference(spr,[status(thm),theory(equality)],[1351,1428]),
[iquote('0:SpR:1351.0,1428.0')] ).
cnf(1786,plain,
equal(multiply(inverse(u),multiply(inverse(v),inverse(w))),multiply(inverse(multiply(v,u)),inverse(w))),
inference(spr,[status(thm),theory(equality)],[1402,1579]),
[iquote('0:SpR:1402.0,1579.0')] ).
cnf(1809,plain,
equal(inverse(multiply(multiply(u,v),w)),inverse(multiply(u,multiply(v,w)))),
inference(rew,[status(thm),theory(equality)],[1630,1786]),
[iquote('0:Rew:1630.0,1786.0,1630.0,1786.0,1630.0,1786.0')] ).
cnf(1812,plain,
equal(multiply(u,multiply(v,inverse(multiply(inverse(w),multiply(multiply(u,multiply(v,inverse(x))),x))))),w),
inference(rew,[status(thm),theory(equality)],[1809,1575]),
[iquote('0:Rew:1809.0,1575.0')] ).
cnf(1819,plain,
equal(multiply(u,multiply(v,multiply(inverse(multiply(u,multiply(multiply(v,inverse(w)),w))),x))),x),
inference(rew,[status(thm),theory(equality)],[1809,1812,1626]),
[iquote('0:Rew:1809.0,1812.0,1626.0,1812.0')] ).
cnf(1820,plain,
equal(multiply(u,multiply(v,multiply(inverse(multiply(u,v)),w))),w),
inference(rew,[status(thm),theory(equality)],[1264,1819]),
[iquote('0:Rew:1264.0,1819.0')] ).
cnf(2116,plain,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
inference(spr,[status(thm),theory(equality)],[1351,1820]),
[iquote('0:SpR:1351.0,1820.0')] ).
cnf(2133,plain,
$false,
inference(unc,[status(thm)],[2116,2]),
[iquote('0:UnC:2116.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP426-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 07:10:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.30/1.48
% 1.30/1.48 SPASS V 3.9
% 1.30/1.48 SPASS beiseite: Proof found.
% 1.30/1.48 % SZS status Theorem
% 1.30/1.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.48 SPASS derived 1551 clauses, backtracked 0 clauses, performed 0 splits and kept 573 clauses.
% 1.30/1.48 SPASS allocated 72150 KBytes.
% 1.30/1.48 SPASS spent 0:00:01.13 on the problem.
% 1.30/1.48 0:00:00.04 for the input.
% 1.30/1.48 0:00:00.00 for the FLOTTER CNF translation.
% 1.30/1.48 0:00:00.03 for inferences.
% 1.30/1.48 0:00:00.00 for the backtracking.
% 1.30/1.48 0:00:01.03 for the reduction.
% 1.30/1.48
% 1.30/1.48
% 1.30/1.48 Here is a proof with depth 9, length 132 :
% 1.30/1.48 % SZS output start Refutation
% See solution above
% 1.35/1.52 Formulae used in the proof : single_axiom prove_these_axioms_3
% 1.35/1.52
%------------------------------------------------------------------------------