TSTP Solution File: GRP405-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 11:47:13 EDT 2022
% Result : Unsatisfiable 230.64s 230.82s
% Output : Refutation 231.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of clauses : 94 ( 94 unt; 0 nHn; 94 RR)
% Number of literals : 94 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 16 ( 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(u,inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),inverse(multiply(v,multiply(inverse(v),v)))))),w),
file('GRP405-1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP405-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(u,inverse(multiply(inverse(multiply(inverse(v),w)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,x)),v)),inverse(multiply(x,multiply(inverse(x),x))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(u,x)),v)),inverse(multiply(x,multiply(inverse(x),x)))))),inverse(multiply(inverse(multiply(inverse(multiply(u,x)),v)),inverse(multiply(x,multiply(inverse(x),x))))))))))),w),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(4,plain,
equal(multiply(u,inverse(multiply(inverse(v),inverse(multiply(w,multiply(inverse(w),w)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),x)),v)),inverse(multiply(x,multiply(inverse(x),x)))))),
inference(spr,[status(thm),theory(equality)],[1]),
[iquote('0:SpR:1.0,1.0')] ).
cnf(21,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(inverse(w),inverse(multiply(v,multiply(inverse(v),v))))))),w),
inference(spr,[status(thm),theory(equality)],[4,1]),
[iquote('0:SpR:4.0,1.0')] ).
cnf(28,plain,
equal(multiply(u,inverse(multiply(inverse(v),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),x)),inverse(multiply(w,multiply(inverse(w),w))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),x)),inverse(multiply(w,multiply(inverse(w),w)))))),inverse(multiply(inverse(multiply(inverse(multiply(u,w)),x)),inverse(multiply(w,multiply(inverse(w),w))))))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(x),y)),v)),inverse(multiply(y,multiply(inverse(y),y)))))),
inference(spr,[status(thm),theory(equality)],[1,4]),
[iquote('0:SpR:1.0,4.0')] ).
cnf(30,plain,
equal(multiply(u,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),x)),y)),inverse(multiply(x,multiply(inverse(x),x)))))),inverse(multiply(v,multiply(inverse(v),v)))))),inverse(multiply(inverse(y),inverse(multiply(w,multiply(inverse(w),w)))))),
inference(spr,[status(thm),theory(equality)],[1,4]),
[iquote('0:SpR:1.0,4.0')] ).
cnf(41,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,inverse(multiply(inverse(x),inverse(multiply(y,multiply(inverse(y),y)))))))),multiply(inverse(multiply(inverse(multiply(w,y)),v)),x)),
inference(spr,[status(thm),theory(equality)],[4,21]),
[iquote('0:SpR:4.0,21.0')] ).
cnf(56,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),inverse(multiply(v,multiply(inverse(v),v))))))),x)),multiply(inverse(w),y))),inverse(multiply(x,multiply(inverse(x),x))))),y),
inference(spr,[status(thm),theory(equality)],[3,4]),
[iquote('0:SpR:3.0,4.0')] ).
cnf(100,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(u),w))),inverse(multiply(v,multiply(inverse(v),v))))),w),
inference(rew,[status(thm),theory(equality)],[1,56]),
[iquote('0:Rew:1.0,56.0')] ).
cnf(127,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(multiply(inverse(x),v)),multiply(inverse(x),w))),
inference(spr,[status(thm),theory(equality)],[100,21]),
[iquote('0:SpR:100.0,21.0')] ).
cnf(136,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),inverse(multiply(v,multiply(inverse(v),v))))),w),
inference(spr,[status(thm),theory(equality)],[100]),
[iquote('0:SpR:100.0,100.0')] ).
cnf(185,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(multiply(x,v)),multiply(x,w))),
inference(spr,[status(thm),theory(equality)],[127]),
[iquote('0:SpR:127.0,127.0')] ).
cnf(210,plain,
equal(multiply(inverse(multiply(u,multiply(v,inverse(multiply(inverse(w),inverse(multiply(x,multiply(inverse(x),x)))))))),multiply(u,y)),multiply(inverse(w),multiply(inverse(multiply(v,x)),y))),
inference(spr,[status(thm),theory(equality)],[21,127]),
[iquote('0:SpR:21.0,127.0')] ).
cnf(244,plain,
equal(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),x)),inverse(multiply(multiply(v,w),multiply(inverse(multiply(y,w)),multiply(y,w))))))),x),
inference(spr,[status(thm),theory(equality)],[185,1]),
[iquote('0:SpR:185.0,1.0')] ).
cnf(245,plain,
equal(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,inverse(multiply(inverse(x),inverse(multiply(multiply(v,w),multiply(inverse(multiply(y,w)),multiply(y,w)))))))),x),
inference(spr,[status(thm),theory(equality)],[185,21]),
[iquote('0:SpR:185.0,21.0')] ).
cnf(249,plain,
equal(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,x)),multiply(inverse(multiply(inverse(multiply(y,z)),multiply(y,w))),multiply(inverse(multiply(v,z)),x))),
inference(spr,[status(thm),theory(equality)],[185]),
[iquote('0:SpR:185.0,185.0')] ).
cnf(264,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,x))),multiply(inverse(multiply(inverse(multiply(w,y)),v)),multiply(inverse(multiply(z,y)),multiply(z,x)))),
inference(spr,[status(thm),theory(equality)],[185]),
[iquote('0:SpR:185.0,185.0')] ).
cnf(279,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(v,w)),x)),inverse(multiply(w,multiply(inverse(w),w))))))),multiply(u,y)),multiply(inverse(x),multiply(v,y))),
inference(spr,[status(thm),theory(equality)],[1,185]),
[iquote('0:SpR:1.0,185.0')] ).
cnf(313,plain,
equal(multiply(inverse(multiply(u,inverse(multiply(v,multiply(inverse(v),v))))),multiply(u,w)),multiply(x,multiply(inverse(multiply(inverse(multiply(y,v)),multiply(y,x))),w))),
inference(spr,[status(thm),theory(equality)],[136,185]),
[iquote('0:SpR:136.0,185.0')] ).
cnf(320,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,x))),inverse(multiply(multiply(v,w),multiply(inverse(multiply(y,w)),multiply(y,w)))))),x),
inference(spr,[status(thm),theory(equality)],[185,136]),
[iquote('0:SpR:185.0,136.0')] ).
cnf(567,plain,
equal(multiply(inverse(multiply(u,multiply(v,inverse(multiply(inverse(w),inverse(multiply(x,multiply(inverse(x),x)))))))),multiply(u,multiply(v,y))),multiply(inverse(w),multiply(inverse(multiply(z,x)),multiply(z,y)))),
inference(spr,[status(thm),theory(equality)],[21,264]),
[iquote('0:SpR:21.0,264.0')] ).
cnf(577,plain,
equal(multiply(inverse(u),multiply(inverse(multiply(v,w)),multiply(v,x))),multiply(inverse(u),multiply(inverse(multiply(y,w)),multiply(y,x)))),
inference(rew,[status(thm),theory(equality)],[210,567]),
[iquote('0:Rew:210.0,567.0')] ).
cnf(751,plain,
equal(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,x))),multiply(u,multiply(inverse(multiply(y,w)),multiply(y,x)))),
inference(spr,[status(thm),theory(equality)],[136,577]),
[iquote('0:SpR:136.0,577.0')] ).
cnf(1120,plain,
equal(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,multiply(v,inverse(multiply(inverse(x),inverse(multiply(y,multiply(inverse(y),y)))))))),multiply(inverse(multiply(inverse(multiply(z,y)),multiply(z,w))),x)),
inference(spr,[status(thm),theory(equality)],[21,249]),
[iquote('0:SpR:21.0,249.0')] ).
cnf(1163,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),x),multiply(inverse(multiply(inverse(multiply(y,v)),multiply(y,w))),x)),
inference(rew,[status(thm),theory(equality)],[41,1120]),
[iquote('0:Rew:41.0,1120.0')] ).
cnf(2578,plain,
equal(multiply(inverse(multiply(u,v)),inverse(multiply(w,inverse(multiply(multiply(u,w),multiply(inverse(multiply(x,w)),multiply(x,w))))))),inverse(multiply(v,multiply(inverse(v),v)))),
inference(spr,[status(thm),theory(equality)],[136,244]),
[iquote('0:SpR:136.0,244.0')] ).
cnf(3986,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(multiply(v,multiply(inverse(v),v))))),w)),multiply(x,multiply(inverse(multiply(inverse(multiply(y,v)),multiply(y,x))),z)))),inverse(multiply(w,multiply(inverse(w),w))))),multiply(u,z)),
inference(spr,[status(thm),theory(equality)],[313,136]),
[iquote('0:SpR:313.0,136.0')] ).
cnf(4165,plain,
equal(multiply(u,multiply(inverse(multiply(inverse(multiply(v,w)),multiply(v,u))),x)),multiply(y,multiply(inverse(multiply(inverse(multiply(z,w)),multiply(z,y))),x))),
inference(spr,[status(thm),theory(equality)],[136,313]),
[iquote('0:SpR:136.0,313.0')] ).
cnf(5022,plain,
equal(multiply(u,multiply(inverse(multiply(inverse(multiply(v,inverse(multiply(inverse(multiply(inverse(multiply(w,x)),y)),inverse(multiply(x,multiply(inverse(x),x))))))),multiply(v,u))),z)),multiply(x1,multiply(inverse(multiply(inverse(y),multiply(w,x1))),z))),
inference(spr,[status(thm),theory(equality)],[1,4165]),
[iquote('0:SpR:1.0,4165.0')] ).
cnf(5078,plain,
equal(multiply(u,multiply(inverse(multiply(inverse(v),multiply(w,u))),x)),multiply(y,multiply(inverse(multiply(inverse(v),multiply(w,y))),x))),
inference(rew,[status(thm),theory(equality)],[279,5022]),
[iquote('0:Rew:279.0,5022.0')] ).
cnf(5234,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(w,multiply(inverse(multiply(inverse(x),multiply(y,w))),z)))),inverse(multiply(v,multiply(inverse(v),v))))),multiply(inverse(multiply(inverse(x),multiply(y,u))),z)),
inference(spr,[status(thm),theory(equality)],[5078,136]),
[iquote('0:SpR:5078.0,136.0')] ).
cnf(5404,plain,
equal(multiply(u,multiply(inverse(multiply(v,multiply(w,u))),x)),multiply(y,multiply(inverse(multiply(v,multiply(w,y))),x))),
inference(spr,[status(thm),theory(equality)],[320,5078]),
[iquote('0:SpR:320.0,5078.0')] ).
cnf(5454,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(w,inverse(multiply(v,multiply(inverse(v),v)))))))),x),multiply(w,x)),
inference(rew,[status(thm),theory(equality)],[5234,3986]),
[iquote('0:Rew:5234.0,3986.0')] ).
cnf(5946,plain,
equal(multiply(u,inverse(multiply(v,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),multiply(x,y))),inverse(multiply(w,multiply(inverse(w),w))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),multiply(x,y))),inverse(multiply(w,multiply(inverse(w),w)))))),inverse(multiply(inverse(multiply(inverse(multiply(u,w)),multiply(x,y))),inverse(multiply(w,multiply(inverse(w),w))))))))))),multiply(x,inverse(multiply(v,inverse(multiply(y,multiply(inverse(y),y))))))),
inference(spr,[status(thm),theory(equality)],[5454,3]),
[iquote('0:SpR:5454.0,3.0')] ).
cnf(8183,plain,
equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,inverse(w)))),inverse(multiply(v,multiply(inverse(v),v)))),w),
inference(spr,[status(thm),theory(equality)],[2578,245]),
[iquote('0:SpR:2578.0,245.0')] ).
cnf(9307,plain,
equal(multiply(inverse(u),u),multiply(v,multiply(inverse(multiply(inverse(multiply(w,x)),multiply(w,v))),inverse(multiply(x,multiply(inverse(x),x)))))),
inference(spr,[status(thm),theory(equality)],[8183,5404]),
[iquote('0:SpR:8183.0,5404.0')] ).
cnf(9754,plain,
equal(multiply(u,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(v),v)),w)),x)),inverse(multiply(w,multiply(inverse(w),w)))))),inverse(multiply(y,multiply(inverse(y),y)))))),inverse(multiply(inverse(x),inverse(multiply(multiply(inverse(multiply(inverse(multiply(z,x1)),multiply(z,inverse(multiply(u,y))))),inverse(multiply(x1,multiply(inverse(x1),x1)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(z,x1)),multiply(z,inverse(multiply(u,y))))),inverse(multiply(x1,multiply(inverse(x1),x1))))),multiply(inverse(multiply(inverse(multiply(z,x1)),multiply(z,inverse(multiply(u,y))))),inverse(multiply(x1,multiply(inverse(x1),x1)))))))))),
inference(spr,[status(thm),theory(equality)],[9307,30]),
[iquote('0:SpR:9307.0,30.0')] ).
cnf(9762,plain,
equal(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(v,w)),multiply(v,inverse(multiply(inverse(multiply(u,x)),y))))),inverse(multiply(w,multiply(inverse(w),w))))),inverse(multiply(x,multiply(inverse(x),x)))))),inverse(multiply(inverse(multiply(inverse(z),z)),inverse(multiply(y,multiply(inverse(y),y)))))),
inference(spr,[status(thm),theory(equality)],[9307,4]),
[iquote('0:SpR:9307.0,4.0')] ).
cnf(9775,plain,
equal(multiply(u,multiply(inverse(v),v)),multiply(w,multiply(inverse(multiply(x,multiply(y,w))),multiply(inverse(multiply(inverse(multiply(z,x1)),multiply(z,inverse(multiply(x,multiply(y,u)))))),inverse(multiply(x1,multiply(inverse(x1),x1))))))),
inference(spr,[status(thm),theory(equality)],[9307,5404]),
[iquote('0:SpR:9307.0,5404.0')] ).
cnf(9858,plain,
equal(multiply(inverse(u),u),multiply(inverse(v),v)),
inference(spr,[status(thm),theory(equality)],[9307]),
[iquote('0:SpR:9307.0,9307.0')] ).
cnf(10023,plain,
equal(multiply(u,multiply(inverse(v),v)),multiply(w,multiply(inverse(multiply(x,multiply(y,w))),multiply(x,multiply(y,u))))),
inference(rew,[status(thm),theory(equality)],[8183,9775]),
[iquote('0:Rew:8183.0,9775.0')] ).
cnf(10047,plain,
equal(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(v,multiply(inverse(v),v))))),v),
inference(rew,[status(thm),theory(equality)],[1,9762,8183]),
[iquote('0:Rew:1.0,9762.0,8183.0,9762.0')] ).
cnf(10090,plain,
equal(multiply(u,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(v),v)),w)),x)),inverse(multiply(w,multiply(inverse(w),w)))))),inverse(multiply(y,multiply(inverse(y),y)))))),inverse(multiply(inverse(x),inverse(multiply(multiply(u,y),multiply(inverse(multiply(u,y)),multiply(u,y))))))),
inference(rew,[status(thm),theory(equality)],[8183,9754]),
[iquote('0:Rew:8183.0,9754.0')] ).
cnf(10119,plain,
equal(multiply(inverse(multiply(inverse(u),u)),multiply(inverse(v),w)),multiply(inverse(multiply(x,v)),multiply(x,w))),
inference(spr,[status(thm),theory(equality)],[9858,185]),
[iquote('0:SpR:9858.0,185.0')] ).
cnf(10137,plain,
equal(multiply(inverse(multiply(inverse(u),u)),v),multiply(inverse(multiply(inverse(multiply(w,x)),multiply(w,x))),v)),
inference(spr,[status(thm),theory(equality)],[9858,1163]),
[iquote('0:SpR:9858.0,1163.0')] ).
cnf(10159,plain,
equal(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(v),multiply(inverse(inverse(v)),inverse(v))))),v),
inference(spr,[status(thm),theory(equality)],[9858,8183]),
[iquote('0:SpR:9858.0,8183.0')] ).
cnf(10161,plain,
equal(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,w))),multiply(u,multiply(inverse(x),x))),
inference(spr,[status(thm),theory(equality)],[9858,751]),
[iquote('0:SpR:9858.0,751.0')] ).
cnf(10238,plain,
equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(w),w)),multiply(inverse(multiply(x,v)),multiply(x,u))),
inference(spr,[status(thm),theory(equality)],[9858,185]),
[iquote('0:SpR:9858.0,185.0')] ).
cnf(10315,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),inverse(multiply(v,multiply(inverse(x),x))))),w),
inference(spr,[status(thm),theory(equality)],[9858,136]),
[iquote('0:SpR:9858.0,136.0')] ).
cnf(10324,plain,
equal(multiply(inverse(u),inverse(multiply(inverse(multiply(inverse(multiply(inverse(v),v)),w)),inverse(multiply(u,multiply(inverse(u),u)))))),w),
inference(spr,[status(thm),theory(equality)],[9858,1]),
[iquote('0:SpR:9858.0,1.0')] ).
cnf(10427,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(inverse(w),w)))),inverse(multiply(v,multiply(inverse(v),v)))),
inference(spr,[status(thm),theory(equality)],[9858,21]),
[iquote('0:SpR:9858.0,21.0')] ).
cnf(10448,plain,
equal(multiply(inverse(u),inverse(multiply(inverse(v),inverse(multiply(u,multiply(inverse(u),u)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(w),w)),x)),v)),inverse(multiply(x,multiply(inverse(x),x)))))),
inference(spr,[status(thm),theory(equality)],[9858,4]),
[iquote('0:SpR:9858.0,4.0')] ).
cnf(10614,plain,
equal(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(v,multiply(inverse(w),w))))),v),
inference(spr,[status(thm),theory(equality)],[9858,10047]),
[iquote('0:SpR:9858.0,10047.0')] ).
cnf(11072,plain,
equal(inverse(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(v),v)))),inverse(multiply(inverse(w),w))),
inference(spr,[status(thm),theory(equality)],[9858,10614]),
[iquote('0:SpR:9858.0,10614.0')] ).
cnf(11172,plain,
equal(multiply(u,multiply(inverse(v),v)),multiply(u,multiply(inverse(w),w))),
inference(spr,[status(thm),theory(equality)],[10161]),
[iquote('0:SpR:10161.0,10161.0')] ).
cnf(11400,plain,
equal(multiply(inverse(u),u),multiply(inverse(multiply(inverse(v),v)),multiply(inverse(w),w))),
inference(spr,[status(thm),theory(equality)],[11172,9858]),
[iquote('0:SpR:11172.0,9858.0')] ).
cnf(11530,plain,
equal(multiply(inverse(multiply(u,multiply(inverse(v),v))),multiply(u,multiply(w,x))),multiply(inverse(multiply(inverse(multiply(w,y)),multiply(inverse(z),z))),multiply(inverse(multiply(x1,y)),multiply(x1,x)))),
inference(spr,[status(thm),theory(equality)],[11172,264]),
[iquote('0:SpR:11172.0,264.0')] ).
cnf(12619,plain,
equal(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(v),multiply(inverse(w),w)))),v),
inference(spr,[status(thm),theory(equality)],[9858,10159]),
[iquote('0:SpR:9858.0,10159.0')] ).
cnf(12629,plain,
equal(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(v),v))),multiply(inverse(w),w)),
inference(spr,[status(thm),theory(equality)],[11400,10159]),
[iquote('0:SpR:11400.0,10159.0')] ).
cnf(12764,plain,
equal(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(multiply(v,w)),multiply(v,x)))),multiply(inverse(x),w)),
inference(spr,[status(thm),theory(equality)],[185,12619]),
[iquote('0:SpR:185.0,12619.0')] ).
cnf(14295,plain,
equal(multiply(inverse(multiply(inverse(u),u)),v),multiply(inverse(multiply(inverse(w),w)),v)),
inference(spr,[status(thm),theory(equality)],[10137]),
[iquote('0:SpR:10137.0,10137.0')] ).
cnf(15646,plain,
equal(multiply(inverse(multiply(u,v)),multiply(inverse(w),w)),multiply(inverse(multiply(x,v)),multiply(x,multiply(inverse(multiply(inverse(y),y)),inverse(multiply(u,multiply(inverse(z),z))))))),
inference(spr,[status(thm),theory(equality)],[10614,10238]),
[iquote('0:SpR:10614.0,10238.0')] ).
cnf(15755,plain,
equal(multiply(inverse(multiply(inverse(u),multiply(inverse(v),v))),multiply(inverse(w),w)),multiply(inverse(multiply(x,multiply(inverse(y),y))),multiply(x,u))),
inference(spr,[status(thm),theory(equality)],[11172,10238]),
[iquote('0:SpR:11172.0,10238.0')] ).
cnf(17405,plain,
equal(multiply(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(v),inverse(multiply(inverse(multiply(inverse(w),w)),multiply(inverse(inverse(multiply(inverse(w),w))),inverse(multiply(inverse(w),w)))))))),v),
inference(spr,[status(thm),theory(equality)],[10427,12619]),
[iquote('0:SpR:10427.0,12619.0')] ).
cnf(18116,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(u),u)),v)),multiply(inverse(w),w))),inverse(multiply(v,multiply(inverse(x),x))))),inverse(multiply(inverse(y),y))),
inference(spr,[status(thm),theory(equality)],[12629,10315]),
[iquote('0:SpR:12629.0,10315.0')] ).
cnf(18223,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(w),w))),inverse(multiply(v,multiply(inverse(x),x))))),u),
inference(spr,[status(thm),theory(equality)],[11172,10315]),
[iquote('0:SpR:11172.0,10315.0')] ).
cnf(18245,plain,
equal(multiply(inverse(u),u),inverse(multiply(inverse(v),v))),
inference(rew,[status(thm),theory(equality)],[18223,18116]),
[iquote('0:Rew:18223.0,18116.0')] ).
cnf(18457,plain,
equal(multiply(multiply(inverse(u),u),v),multiply(inverse(multiply(inverse(w),w)),v)),
inference(spr,[status(thm),theory(equality)],[18245,14295]),
[iquote('0:SpR:18245.0,14295.0')] ).
cnf(21378,plain,
equal(multiply(u,inverse(multiply(inverse(v),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),multiply(inverse(multiply(inverse(x),x)),inverse(multiply(inverse(y),y))))),inverse(multiply(w,multiply(inverse(w),w))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(u,w)),multiply(inverse(multiply(inverse(x),x)),inverse(multiply(inverse(y),y))))),inverse(multiply(w,multiply(inverse(w),w)))))),inverse(multiply(inverse(multiply(inverse(multiply(u,w)),multiply(inverse(multiply(inverse(x),x)),inverse(multiply(inverse(y),y))))),inverse(multiply(w,multiply(inverse(w),w))))))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(z),z)),x1)),v)),inverse(multiply(x1,multiply(inverse(x1),x1)))))),
inference(spr,[status(thm),theory(equality)],[11072,28]),
[iquote('0:SpR:11072.0,28.0')] ).
cnf(21755,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(u),u)),v)),w)),inverse(multiply(v,multiply(inverse(v),v))))),w),
inference(rew,[status(thm),theory(equality)],[17405,21378,5946]),
[iquote('0:Rew:17405.0,21378.0,5946.0,21378.0')] ).
cnf(21762,plain,
equal(multiply(inverse(u),inverse(multiply(inverse(v),inverse(multiply(u,multiply(inverse(u),u)))))),v),
inference(rew,[status(thm),theory(equality)],[21755,10448]),
[iquote('0:Rew:21755.0,10448.0')] ).
cnf(21768,plain,
equal(inverse(multiply(inverse(u),inverse(multiply(multiply(v,w),multiply(inverse(multiply(v,w)),multiply(v,w)))))),multiply(v,inverse(multiply(inverse(u),inverse(multiply(w,multiply(inverse(w),w))))))),
inference(rew,[status(thm),theory(equality)],[21755,10090]),
[iquote('0:Rew:21755.0,10090.0')] ).
cnf(21784,plain,
equal(multiply(inverse(multiply(inverse(u),u)),v),v),
inference(rew,[status(thm),theory(equality)],[21762,10324]),
[iquote('0:Rew:21762.0,10324.0')] ).
cnf(21816,plain,
equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(v),w)),
inference(rew,[status(thm),theory(equality)],[21784,10119]),
[iquote('0:Rew:21784.0,10119.0')] ).
cnf(21823,plain,
equal(inverse(multiply(inverse(u),multiply(inverse(v),v))),u),
inference(rew,[status(thm),theory(equality)],[21784,12619]),
[iquote('0:Rew:21784.0,12619.0')] ).
cnf(21824,plain,
equal(inverse(inverse(multiply(u,multiply(inverse(v),v)))),u),
inference(rew,[status(thm),theory(equality)],[21784,10614]),
[iquote('0:Rew:21784.0,10614.0')] ).
cnf(22575,plain,
equal(multiply(multiply(inverse(u),u),v),v),
inference(rew,[status(thm),theory(equality)],[21784,18457]),
[iquote('0:Rew:21784.0,18457.0')] ).
cnf(22922,plain,
equal(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(inverse(w),v)),
inference(rew,[status(thm),theory(equality)],[21784,12764]),
[iquote('0:Rew:21784.0,12764.0')] ).
cnf(22955,plain,
equal(multiply(inverse(multiply(u,v)),multiply(inverse(w),w)),multiply(inverse(multiply(x,v)),multiply(x,inverse(multiply(u,multiply(inverse(y),y)))))),
inference(rew,[status(thm),theory(equality)],[21784,15646]),
[iquote('0:Rew:21784.0,15646.0')] ).
cnf(23409,plain,
equal(multiply(inverse(multiply(u,multiply(inverse(v),v))),multiply(u,multiply(w,x))),multiply(multiply(w,y),multiply(inverse(multiply(z,y)),multiply(z,x)))),
inference(rew,[status(thm),theory(equality)],[21823,11530]),
[iquote('0:Rew:21823.0,11530.0')] ).
cnf(24062,plain,
equal(multiply(u,multiply(inverse(v),v)),multiply(inverse(multiply(w,multiply(inverse(x),x))),multiply(w,u))),
inference(rew,[status(thm),theory(equality)],[21823,15755]),
[iquote('0:Rew:21823.0,15755.0')] ).
cnf(24925,plain,
equal(multiply(u,multiply(inverse(v),v)),multiply(w,multiply(inverse(multiply(x,w)),multiply(x,u)))),
inference(rew,[status(thm),theory(equality)],[21816,10023]),
[iquote('0:Rew:21816.0,10023.0')] ).
cnf(26899,plain,
equal(inverse(multiply(inverse(u),v)),multiply(inverse(v),u)),
inference(rew,[status(thm),theory(equality)],[21816,22922]),
[iquote('0:Rew:21816.0,22922.0')] ).
cnf(27437,plain,
equal(multiply(inverse(u),multiply(inverse(inverse(multiply(u,multiply(inverse(u),u)))),v)),v),
inference(rew,[status(thm),theory(equality)],[26899,21762]),
[iquote('0:Rew:26899.0,21762.0')] ).
cnf(27532,plain,
equal(multiply(inverse(u),multiply(u,v)),v),
inference(rew,[status(thm),theory(equality)],[21824,27437]),
[iquote('0:Rew:21824.0,27437.0')] ).
cnf(27655,plain,
equal(multiply(u,multiply(inverse(v),v)),multiply(w,multiply(inverse(w),u))),
inference(rew,[status(thm),theory(equality)],[21816,24925]),
[iquote('0:Rew:21816.0,24925.0')] ).
cnf(27707,plain,
equal(multiply(u,multiply(inverse(v),v)),u),
inference(rew,[status(thm),theory(equality)],[22575,24062,26899,21816]),
[iquote('0:Rew:22575.0,24062.0,26899.0,24062.0,21816.0,24062.0')] ).
cnf(27718,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[27707,21824]),
[iquote('0:Rew:27707.0,21824.0')] ).
cnf(27720,plain,
equal(multiply(u,multiply(inverse(u),v)),v),
inference(rew,[status(thm),theory(equality)],[27707,27655]),
[iquote('0:Rew:27707.0,27655.0')] ).
cnf(28214,plain,
equal(multiply(inverse(u),inverse(v)),inverse(multiply(v,u))),
inference(rew,[status(thm),theory(equality)],[27707,22955,21816]),
[iquote('0:Rew:27707.0,22955.0,21816.0,22955.0,27707.0,22955.0')] ).
cnf(28431,plain,
equal(multiply(multiply(u,v),multiply(inverse(v),w)),multiply(u,w)),
inference(rew,[status(thm),theory(equality)],[27532,23409,27707,21816]),
[iquote('0:Rew:27532.0,23409.0,27707.0,23409.0,21816.0,23409.0')] ).
cnf(28833,plain,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[27718,21768,28214,28431,21816,27720]),
[iquote('0:Rew:27718.0,21768.0,28214.0,21768.0,28431.0,21768.0,21816.0,21768.0,27718.0,21768.0,28214.0,21768.0,27720.0,21768.0')] ).
cnf(28834,plain,
$false,
inference(unc,[status(thm)],[28833,2]),
[iquote('0:UnC:28833.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP405-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 07:07:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 230.64/230.82
% 230.64/230.82 SPASS V 3.9
% 230.64/230.82 SPASS beiseite: Proof found.
% 230.64/230.82 % SZS status Theorem
% 230.64/230.82 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 230.64/230.82 SPASS derived 25361 clauses, backtracked 0 clauses, performed 0 splits and kept 6886 clauses.
% 230.64/230.82 SPASS allocated 209327 KBytes.
% 230.64/230.82 SPASS spent 0:3:50.41 on the problem.
% 230.64/230.82 0:00:00.03 for the input.
% 230.64/230.82 0:00:00.00 for the FLOTTER CNF translation.
% 230.64/230.82 0:00:00.44 for inferences.
% 230.64/230.82 0:00:00.00 for the backtracking.
% 230.64/230.82 0:3:49.91 for the reduction.
% 230.64/230.82
% 230.64/230.82
% 230.64/230.82 Here is a proof with depth 16, length 94 :
% 230.64/230.82 % SZS output start Refutation
% See solution above
% 231.54/231.80 Formulae used in the proof : single_axiom prove_these_axioms_3
% 231.54/231.80
%------------------------------------------------------------------------------