TSTP Solution File: GRP596-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 11:48:12 EDT 2022
% Result : Unsatisfiable 0.47s 0.63s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 3
% Syntax : Number of clauses : 114 ( 114 unt; 0 nHn; 114 RR)
% Number of literals : 114 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(inverse(double_divide(double_divide(u,v),inverse(double_divide(u,inverse(double_divide(w,v)))))),w),
file('GRP596-1.p',unknown),
[] ).
cnf(2,axiom,
equal(inverse(double_divide(u,v)),multiply(v,u)),
file('GRP596-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(multiply(b,a),multiply(a,b)),
file('GRP596-1.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(multiply(multiply(u,v),w),double_divide(w,u)),v),
inference(rew,[status(thm),theory(equality)],[2,1]),
[iquote('0:Rew:2.0,1.0,2.0,1.0,2.0,1.0')] ).
cnf(6,plain,
equal(multiply(multiply(u,v),double_divide(v,multiply(multiply(w,u),x))),double_divide(x,w)),
inference(spr,[status(thm),theory(equality)],[4]),
[iquote('0:SpR:4.0,4.0')] ).
cnf(7,plain,
equal(multiply(u,double_divide(double_divide(v,w),multiply(w,u))),v),
inference(spr,[status(thm),theory(equality)],[4]),
[iquote('0:SpR:4.0,4.0')] ).
cnf(9,plain,
equal(multiply(double_divide(double_divide(u,v),multiply(v,w)),double_divide(double_divide(x,w),u)),x),
inference(spr,[status(thm),theory(equality)],[7]),
[iquote('0:SpR:7.0,7.0')] ).
cnf(10,plain,
equal(multiply(multiply(u,v),double_divide(v,w)),double_divide(double_divide(u,x),multiply(x,w))),
inference(spr,[status(thm),theory(equality)],[7,4]),
[iquote('0:SpR:7.0,4.0')] ).
cnf(18,plain,
equal(double_divide(multiply(u,double_divide(v,multiply(w,u))),w),v),
inference(spr,[status(thm),theory(equality)],[6,7]),
[iquote('0:SpR:6.0,7.0')] ).
cnf(21,plain,
equal(multiply(multiply(u,v),double_divide(v,double_divide(w,x))),double_divide(double_divide(u,multiply(multiply(x,y),w)),y)),
inference(spr,[status(thm),theory(equality)],[6]),
[iquote('0:SpR:6.0,6.0')] ).
cnf(32,plain,
equal(multiply(u,multiply(v,double_divide(w,multiply(u,v)))),inverse(w)),
inference(spr,[status(thm),theory(equality)],[18,2]),
[iquote('0:SpR:18.0,2.0')] ).
cnf(37,plain,
equal(multiply(u,double_divide(v,multiply(multiply(w,x),u))),double_divide(multiply(x,v),w)),
inference(spr,[status(thm),theory(equality)],[18]),
[iquote('0:SpR:18.0,18.0')] ).
cnf(42,plain,
equal(double_divide(double_divide(multiply(u,v),w),multiply(w,u)),v),
inference(spr,[status(thm),theory(equality)],[6,18]),
[iquote('0:SpR:6.0,18.0')] ).
cnf(44,plain,
equal(multiply(multiply(u,v),double_divide(multiply(v,w),u)),inverse(w)),
inference(spr,[status(thm),theory(equality)],[42,2]),
[iquote('0:SpR:42.0,2.0')] ).
cnf(55,plain,
equal(double_divide(double_divide(u,v),multiply(v,multiply(multiply(w,u),x))),double_divide(x,w)),
inference(spr,[status(thm),theory(equality)],[4,42]),
[iquote('0:SpR:4.0,42.0')] ).
cnf(59,plain,
equal(multiply(multiply(multiply(u,double_divide(v,multiply(w,u))),x),double_divide(x,multiply(inverse(v),y))),double_divide(y,w)),
inference(spr,[status(thm),theory(equality)],[32,6]),
[iquote('0:SpR:32.0,6.0')] ).
cnf(62,plain,
equal(multiply(multiply(inverse(u),v),double_divide(v,w)),multiply(x,double_divide(u,multiply(w,x)))),
inference(spr,[status(thm),theory(equality)],[32,4]),
[iquote('0:SpR:32.0,4.0')] ).
cnf(67,plain,
equal(multiply(inverse(u),double_divide(multiply(v,double_divide(u,multiply(multiply(w,x),v))),w)),x),
inference(spr,[status(thm),theory(equality)],[32,4]),
[iquote('0:SpR:32.0,4.0')] ).
cnf(68,plain,
equal(multiply(multiply(u,v),double_divide(v,inverse(w))),double_divide(multiply(x,double_divide(w,multiply(multiply(y,u),x))),y)),
inference(spr,[status(thm),theory(equality)],[32,6]),
[iquote('0:SpR:32.0,6.0')] ).
cnf(76,plain,
equal(multiply(inverse(u),double_divide(double_divide(multiply(v,u),w),w)),v),
inference(rew,[status(thm),theory(equality)],[37,67]),
[iquote('0:Rew:37.0,67.0')] ).
cnf(78,plain,
equal(multiply(multiply(u,v),double_divide(v,inverse(w))),double_divide(double_divide(multiply(u,w),x),x)),
inference(rew,[status(thm),theory(equality)],[37,68]),
[iquote('0:Rew:37.0,68.0')] ).
cnf(94,plain,
equal(multiply(multiply(u,multiply(multiply(v,w),x)),double_divide(w,u)),inverse(double_divide(x,v))),
inference(spr,[status(thm),theory(equality)],[4,44]),
[iquote('0:SpR:4.0,44.0')] ).
cnf(98,plain,
equal(multiply(inverse(u),double_divide(multiply(multiply(v,double_divide(u,multiply(w,v))),x),w)),inverse(x)),
inference(spr,[status(thm),theory(equality)],[32,44]),
[iquote('0:SpR:32.0,44.0')] ).
cnf(102,plain,
equal(multiply(multiply(u,multiply(multiply(v,w),x)),double_divide(w,u)),multiply(v,x)),
inference(rew,[status(thm),theory(equality)],[2,94]),
[iquote('0:Rew:2.0,94.0')] ).
cnf(110,plain,
equal(multiply(multiply(u,v),double_divide(v,double_divide(double_divide(w,x),multiply(x,y)))),double_divide(double_divide(u,y),w)),
inference(spr,[status(thm),theory(equality)],[9,4]),
[iquote('0:SpR:9.0,4.0')] ).
cnf(135,plain,
equal(double_divide(multiply(double_divide(double_divide(multiply(u,v),w),w),double_divide(x,u)),inverse(v)),x),
inference(spr,[status(thm),theory(equality)],[76,18]),
[iquote('0:SpR:76.0,18.0')] ).
cnf(142,plain,
equal(double_divide(multiply(u,v),multiply(w,inverse(v))),double_divide(u,w)),
inference(spr,[status(thm),theory(equality)],[76,18]),
[iquote('0:SpR:76.0,18.0')] ).
cnf(143,plain,
equal(inverse(double_divide(multiply(u,v),multiply(w,inverse(v)))),multiply(w,u)),
inference(spr,[status(thm),theory(equality)],[76,32]),
[iquote('0:SpR:76.0,32.0')] ).
cnf(149,plain,
equal(multiply(inverse(double_divide(u,v)),double_divide(double_divide(w,x),x)),multiply(multiply(v,w),u)),
inference(spr,[status(thm),theory(equality)],[4,76]),
[iquote('0:SpR:4.0,76.0')] ).
cnf(154,plain,
equal(multiply(multiply(u,v),double_divide(double_divide(multiply(w,double_divide(v,u)),x),x)),w),
inference(spr,[status(thm),theory(equality)],[2,76]),
[iquote('0:SpR:2.0,76.0')] ).
cnf(156,plain,
equal(multiply(multiply(u,inverse(v)),multiply(w,v)),multiply(u,w)),
inference(rew,[status(thm),theory(equality)],[2,143]),
[iquote('0:Rew:2.0,143.0')] ).
cnf(159,plain,
equal(multiply(multiply(u,v),double_divide(double_divide(w,x),x)),multiply(multiply(u,w),v)),
inference(rew,[status(thm),theory(equality)],[2,149]),
[iquote('0:Rew:2.0,149.0')] ).
cnf(161,plain,
equal(multiply(multiply(u,multiply(v,double_divide(w,u))),w),v),
inference(rew,[status(thm),theory(equality)],[159,154]),
[iquote('0:Rew:159.0,154.0')] ).
cnf(174,plain,
equal(multiply(inverse(u),double_divide(double_divide(v,w),w)),multiply(x,multiply(v,double_divide(u,x)))),
inference(spr,[status(thm),theory(equality)],[161,76]),
[iquote('0:SpR:161.0,76.0')] ).
cnf(176,plain,
equal(multiply(multiply(u,v),double_divide(v,multiply(w,x))),double_divide(x,multiply(y,multiply(w,double_divide(u,y))))),
inference(spr,[status(thm),theory(equality)],[161,6]),
[iquote('0:SpR:161.0,6.0')] ).
cnf(210,plain,
equal(multiply(u,multiply(inverse(v),double_divide(w,u))),inverse(multiply(w,v))),
inference(spr,[status(thm),theory(equality)],[142,32]),
[iquote('0:SpR:142.0,32.0')] ).
cnf(217,plain,
equal(double_divide(u,multiply(v,inverse(double_divide(w,x)))),double_divide(multiply(multiply(x,u),w),v)),
inference(spr,[status(thm),theory(equality)],[4,142]),
[iquote('0:SpR:4.0,142.0')] ).
cnf(225,plain,
equal(double_divide(multiply(multiply(u,v),w),x),double_divide(v,multiply(x,multiply(u,w)))),
inference(rew,[status(thm),theory(equality)],[2,217]),
[iquote('0:Rew:2.0,217.0')] ).
cnf(226,plain,
equal(multiply(inverse(u),double_divide(double_divide(u,multiply(v,w)),multiply(v,multiply(w,x)))),inverse(x)),
inference(rew,[status(thm),theory(equality)],[225,98]),
[iquote('0:Rew:225.0,98.0')] ).
cnf(254,plain,
equal(multiply(multiply(u,inverse(double_divide(v,w))),x),multiply(u,multiply(multiply(w,x),v))),
inference(spr,[status(thm),theory(equality)],[4,156]),
[iquote('0:SpR:4.0,156.0')] ).
cnf(257,plain,
equal(multiply(multiply(u,inverse(double_divide(double_divide(v,w),x))),v),multiply(u,double_divide(double_divide(x,y),multiply(y,w)))),
inference(spr,[status(thm),theory(equality)],[9,156]),
[iquote('0:SpR:9.0,156.0')] ).
cnf(267,plain,
equal(multiply(multiply(u,multiply(v,w)),x),multiply(u,multiply(multiply(v,x),w))),
inference(rew,[status(thm),theory(equality)],[2,254]),
[iquote('0:Rew:2.0,254.0')] ).
cnf(268,plain,
equal(multiply(u,multiply(multiply(v,w),double_divide(w,u))),v),
inference(rew,[status(thm),theory(equality)],[267,161]),
[iquote('0:Rew:267.0,161.0')] ).
cnf(273,plain,
equal(multiply(u,multiply(multiply(multiply(v,w),double_divide(w,u)),x)),multiply(v,x)),
inference(rew,[status(thm),theory(equality)],[267,102]),
[iquote('0:Rew:267.0,102.0')] ).
cnf(298,plain,
equal(multiply(multiply(u,multiply(v,double_divide(w,x))),w),multiply(u,double_divide(double_divide(v,y),multiply(y,x)))),
inference(rew,[status(thm),theory(equality)],[2,257]),
[iquote('0:Rew:2.0,257.0')] ).
cnf(299,plain,
equal(multiply(u,multiply(multiply(v,w),double_divide(w,x))),multiply(u,double_divide(double_divide(v,y),multiply(y,x)))),
inference(rew,[status(thm),theory(equality)],[267,298]),
[iquote('0:Rew:267.0,298.0')] ).
cnf(349,plain,
equal(double_divide(double_divide(multiply(multiply(u,v),w),x),multiply(x,y)),multiply(v,double_divide(double_divide(w,u),y))),
inference(spr,[status(thm),theory(equality)],[4,10]),
[iquote('0:SpR:4.0,10.0')] ).
cnf(355,plain,
equal(multiply(multiply(u,v),double_divide(v,multiply(w,double_divide(x,multiply(y,w))))),double_divide(double_divide(u,y),inverse(x))),
inference(spr,[status(thm),theory(equality)],[32,10]),
[iquote('0:SpR:32.0,10.0')] ).
cnf(361,plain,
equal(multiply(multiply(u,v),double_divide(v,double_divide(double_divide(multiply(w,x),y),y))),double_divide(double_divide(u,inverse(x)),w)),
inference(spr,[status(thm),theory(equality)],[76,10]),
[iquote('0:SpR:76.0,10.0')] ).
cnf(362,plain,
equal(multiply(multiply(multiply(u,double_divide(v,multiply(w,u))),x),double_divide(x,y)),double_divide(v,multiply(w,y))),
inference(spr,[status(thm),theory(equality)],[18,10]),
[iquote('0:SpR:18.0,10.0')] ).
cnf(376,plain,
equal(double_divide(double_divide(u,multiply(v,multiply(w,x))),multiply(v,y)),multiply(u,double_divide(double_divide(x,w),y))),
inference(rew,[status(thm),theory(equality)],[225,349]),
[iquote('0:Rew:225.0,349.0')] ).
cnf(377,plain,
equal(double_divide(u,multiply(v,multiply(inverse(u),w))),double_divide(w,v)),
inference(rew,[status(thm),theory(equality)],[362,59]),
[iquote('0:Rew:362.0,59.0')] ).
cnf(395,plain,
equal(multiply(inverse(multiply(multiply(u,v),double_divide(v,w))),double_divide(double_divide(u,x),x)),w),
inference(spr,[status(thm),theory(equality)],[268,76]),
[iquote('0:SpR:268.0,76.0')] ).
cnf(398,plain,
equal(double_divide(multiply(multiply(multiply(u,v),double_divide(v,w)),double_divide(x,u)),w),x),
inference(spr,[status(thm),theory(equality)],[268,18]),
[iquote('0:SpR:268.0,18.0')] ).
cnf(403,plain,
equal(multiply(u,multiply(multiply(multiply(v,w),double_divide(w,u)),double_divide(x,v))),inverse(x)),
inference(spr,[status(thm),theory(equality)],[268,32]),
[iquote('0:SpR:268.0,32.0')] ).
cnf(409,plain,
equal(multiply(multiply(u,v),double_divide(v,w)),double_divide(multiply(multiply(w,x),double_divide(x,multiply(y,u))),y)),
inference(spr,[status(thm),theory(equality)],[268,6]),
[iquote('0:SpR:268.0,6.0')] ).
cnf(424,plain,
equal(multiply(u,multiply(double_divide(double_divide(v,w),multiply(w,x)),double_divide(double_divide(y,x),u))),multiply(v,y)),
inference(spr,[status(thm),theory(equality)],[10,268]),
[iquote('0:SpR:10.0,268.0')] ).
cnf(433,plain,
equal(double_divide(double_divide(u,v),v),u),
inference(rew,[status(thm),theory(equality)],[55,398,225]),
[iquote('0:Rew:55.0,398.0,225.0,398.0')] ).
cnf(435,plain,
equal(multiply(multiply(u,v),double_divide(v,multiply(w,x))),double_divide(double_divide(u,inverse(x)),w)),
inference(rew,[status(thm),theory(equality)],[433,361]),
[iquote('0:Rew:433.0,361.0')] ).
cnf(440,plain,
equal(multiply(multiply(u,v),double_divide(v,inverse(w))),multiply(u,w)),
inference(rew,[status(thm),theory(equality)],[433,78]),
[iquote('0:Rew:433.0,78.0')] ).
cnf(442,plain,
equal(multiply(u,multiply(v,double_divide(w,u))),multiply(inverse(w),v)),
inference(rew,[status(thm),theory(equality)],[433,174]),
[iquote('0:Rew:433.0,174.0')] ).
cnf(445,plain,
equal(double_divide(multiply(multiply(u,v),double_divide(w,u)),inverse(v)),w),
inference(rew,[status(thm),theory(equality)],[433,135]),
[iquote('0:Rew:433.0,135.0')] ).
cnf(459,plain,
equal(multiply(inverse(u),inverse(v)),inverse(multiply(u,v))),
inference(rew,[status(thm),theory(equality)],[442,210]),
[iquote('0:Rew:442.0,210.0')] ).
cnf(460,plain,
equal(multiply(multiply(u,v),double_divide(v,multiply(w,x))),double_divide(x,multiply(inverse(u),w))),
inference(rew,[status(thm),theory(equality)],[442,176]),
[iquote('0:Rew:442.0,176.0')] ).
cnf(469,plain,
equal(double_divide(u,multiply(inverse(u),multiply(v,double_divide(w,v)))),w),
inference(rew,[status(thm),theory(equality)],[225,445]),
[iquote('0:Rew:225.0,445.0')] ).
cnf(500,plain,
equal(multiply(inverse(multiply(multiply(u,v),double_divide(v,w))),u),w),
inference(rew,[status(thm),theory(equality)],[433,395]),
[iquote('0:Rew:433.0,395.0')] ).
cnf(501,plain,
equal(multiply(u,double_divide(v,u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[273,403]),
[iquote('0:Rew:273.0,403.0')] ).
cnf(502,plain,
equal(double_divide(u,multiply(inverse(u),inverse(v))),v),
inference(rew,[status(thm),theory(equality)],[501,469]),
[iquote('0:Rew:501.0,469.0')] ).
cnf(504,plain,
equal(double_divide(u,inverse(multiply(u,v))),v),
inference(rew,[status(thm),theory(equality)],[459,502]),
[iquote('0:Rew:459.0,502.0')] ).
cnf(517,plain,
equal(double_divide(double_divide(u,inverse(double_divide(v,multiply(w,x)))),x),double_divide(double_divide(u,w),inverse(v))),
inference(rew,[status(thm),theory(equality)],[435,355]),
[iquote('0:Rew:435.0,355.0')] ).
cnf(528,plain,
equal(double_divide(double_divide(u,inverse(v)),w),double_divide(v,multiply(inverse(u),w))),
inference(rew,[status(thm),theory(equality)],[435,460]),
[iquote('0:Rew:435.0,460.0')] ).
cnf(536,plain,
equal(multiply(multiply(u,v),double_divide(v,multiply(w,x))),double_divide(x,multiply(inverse(u),w))),
inference(rew,[status(thm),theory(equality)],[528,435]),
[iquote('0:Rew:528.0,435.0')] ).
cnf(553,plain,
equal(double_divide(double_divide(u,multiply(multiply(v,w),x)),w),double_divide(double_divide(u,v),inverse(x))),
inference(rew,[status(thm),theory(equality)],[2,517]),
[iquote('0:Rew:2.0,517.0')] ).
cnf(555,plain,
equal(multiply(multiply(u,v),double_divide(v,double_divide(w,x))),double_divide(double_divide(u,x),inverse(w))),
inference(rew,[status(thm),theory(equality)],[553,21]),
[iquote('0:Rew:553.0,21.0')] ).
cnf(561,plain,
equal(double_divide(double_divide(u,multiply(v,w)),inverse(double_divide(x,v))),double_divide(double_divide(u,w),x)),
inference(rew,[status(thm),theory(equality)],[555,110]),
[iquote('0:Rew:555.0,110.0')] ).
cnf(563,plain,
equal(double_divide(double_divide(u,multiply(v,w)),multiply(v,x)),double_divide(double_divide(u,w),x)),
inference(rew,[status(thm),theory(equality)],[2,561]),
[iquote('0:Rew:2.0,561.0')] ).
cnf(564,plain,
equal(multiply(u,double_divide(double_divide(v,w),x)),double_divide(double_divide(u,multiply(w,v)),x)),
inference(rew,[status(thm),theory(equality)],[563,376]),
[iquote('0:Rew:563.0,376.0')] ).
cnf(568,plain,
equal(multiply(inverse(u),double_divide(double_divide(u,v),multiply(v,w))),inverse(w)),
inference(rew,[status(thm),theory(equality)],[563,226]),
[iquote('0:Rew:563.0,226.0')] ).
cnf(572,plain,
equal(double_divide(double_divide(u,multiply(v,w)),multiply(v,u)),w),
inference(rew,[status(thm),theory(equality)],[564,7]),
[iquote('0:Rew:564.0,7.0')] ).
cnf(573,plain,
equal(double_divide(double_divide(inverse(u),multiply(v,u)),multiply(v,w)),inverse(w)),
inference(rew,[status(thm),theory(equality)],[564,568]),
[iquote('0:Rew:564.0,568.0')] ).
cnf(577,plain,
equal(multiply(u,multiply(multiply(v,w),double_divide(w,x))),double_divide(double_divide(u,multiply(y,v)),multiply(y,x))),
inference(rew,[status(thm),theory(equality)],[564,299]),
[iquote('0:Rew:564.0,299.0')] ).
cnf(610,plain,
equal(double_divide(double_divide(u,v),u),v),
inference(rew,[status(thm),theory(equality)],[563,572]),
[iquote('0:Rew:563.0,572.0')] ).
cnf(612,plain,
equal(double_divide(double_divide(inverse(u),u),v),inverse(v)),
inference(rew,[status(thm),theory(equality)],[563,573]),
[iquote('0:Rew:563.0,573.0')] ).
cnf(631,plain,
equal(multiply(multiply(u,v),double_divide(v,w)),double_divide(double_divide(u,multiply(inverse(w),x)),x)),
inference(rew,[status(thm),theory(equality)],[536,409]),
[iquote('0:Rew:536.0,409.0')] ).
cnf(635,plain,
equal(double_divide(double_divide(multiply(u,v),w),u),multiply(w,v)),
inference(rew,[status(thm),theory(equality)],[610,424,563,564]),
[iquote('0:Rew:610.0,424.0,563.0,424.0,564.0,424.0,564.0,424.0,564.0,424.0')] ).
cnf(637,plain,
equal(multiply(u,multiply(multiply(v,w),double_divide(w,x))),double_divide(double_divide(u,v),x)),
inference(rew,[status(thm),theory(equality)],[563,577]),
[iquote('0:Rew:563.0,577.0')] ).
cnf(673,plain,
equal(double_divide(multiply(u,v),w),double_divide(v,multiply(w,u))),
inference(spr,[status(thm),theory(equality)],[433,18]),
[iquote('0:SpR:433.0,18.0')] ).
cnf(674,plain,
equal(inverse(double_divide(u,multiply(v,w))),multiply(v,multiply(w,u))),
inference(spr,[status(thm),theory(equality)],[433,32]),
[iquote('0:SpR:433.0,32.0')] ).
cnf(676,plain,
equal(multiply(u,double_divide(v,multiply(w,u))),double_divide(v,w)),
inference(spr,[status(thm),theory(equality)],[18,433]),
[iquote('0:SpR:18.0,433.0')] ).
cnf(734,plain,
equal(double_divide(double_divide(u,multiply(v,w)),w),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[673,635]),
[iquote('0:Rew:673.0,635.0')] ).
cnf(741,plain,
equal(multiply(multiply(inverse(u),v),double_divide(v,w)),double_divide(u,w)),
inference(rew,[status(thm),theory(equality)],[676,62]),
[iquote('0:Rew:676.0,62.0')] ).
cnf(750,plain,
equal(multiply(multiply(u,v),double_divide(v,w)),multiply(inverse(w),u)),
inference(rew,[status(thm),theory(equality)],[734,631]),
[iquote('0:Rew:734.0,631.0')] ).
cnf(754,plain,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[2,674]),
[iquote('0:Rew:2.0,674.0')] ).
cnf(766,plain,
equal(multiply(u,multiply(v,double_divide(v,multiply(w,x)))),double_divide(x,multiply(inverse(u),w))),
inference(rew,[status(thm),theory(equality)],[754,536]),
[iquote('0:Rew:754.0,536.0')] ).
cnf(769,plain,
equal(multiply(u,multiply(v,double_divide(v,inverse(w)))),multiply(u,w)),
inference(rew,[status(thm),theory(equality)],[754,440]),
[iquote('0:Rew:754.0,440.0')] ).
cnf(777,plain,
equal(multiply(u,multiply(v,multiply(w,double_divide(w,x)))),double_divide(double_divide(u,v),x)),
inference(rew,[status(thm),theory(equality)],[754,637]),
[iquote('0:Rew:754.0,637.0')] ).
cnf(809,plain,
equal(multiply(inverse(multiply(u,multiply(v,double_divide(v,w)))),u),w),
inference(rew,[status(thm),theory(equality)],[754,500]),
[iquote('0:Rew:754.0,500.0')] ).
cnf(816,plain,
equal(multiply(inverse(u),multiply(v,double_divide(v,w))),double_divide(u,w)),
inference(rew,[status(thm),theory(equality)],[754,741]),
[iquote('0:Rew:754.0,741.0')] ).
cnf(817,plain,
equal(multiply(u,multiply(v,double_divide(v,w))),multiply(inverse(w),u)),
inference(rew,[status(thm),theory(equality)],[754,750]),
[iquote('0:Rew:754.0,750.0')] ).
cnf(818,plain,
equal(multiply(inverse(u),inverse(v)),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[817,816]),
[iquote('0:Rew:817.0,816.0')] ).
cnf(820,plain,
equal(inverse(multiply(u,v)),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[459,818]),
[iquote('0:Rew:459.0,818.0')] ).
cnf(828,plain,
equal(double_divide(u,double_divide(v,u)),v),
inference(rew,[status(thm),theory(equality)],[820,504]),
[iquote('0:Rew:820.0,504.0')] ).
cnf(833,plain,
equal(multiply(inverse(inverse(u)),v),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[817,769]),
[iquote('0:Rew:817.0,769.0')] ).
cnf(835,plain,
equal(multiply(double_divide(u,inverse(v)),u),v),
inference(rew,[status(thm),theory(equality)],[820,809,817]),
[iquote('0:Rew:820.0,809.0,817.0,809.0')] ).
cnf(893,plain,
equal(multiply(u,multiply(inverse(v),w)),double_divide(double_divide(u,w),v)),
inference(rew,[status(thm),theory(equality)],[817,777]),
[iquote('0:Rew:817.0,777.0')] ).
cnf(895,plain,
equal(double_divide(u,double_divide(double_divide(v,w),u)),double_divide(w,v)),
inference(rew,[status(thm),theory(equality)],[893,377]),
[iquote('0:Rew:893.0,377.0')] ).
cnf(896,plain,
equal(double_divide(u,v),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[828,895]),
[iquote('0:Rew:828.0,895.0')] ).
cnf(901,plain,
equal(double_divide(double_divide(u,inverse(u)),v),inverse(v)),
inference(rew,[status(thm),theory(equality)],[896,612]),
[iquote('0:Rew:896.0,612.0')] ).
cnf(904,plain,
equal(double_divide(u,multiply(inverse(u),v)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[528,901]),
[iquote('0:Rew:528.0,901.0')] ).
cnf(919,plain,
equal(double_divide(u,multiply(inverse(v),w)),multiply(double_divide(u,w),v)),
inference(rew,[status(thm),theory(equality)],[820,766,817]),
[iquote('0:Rew:820.0,766.0,817.0,766.0')] ).
cnf(920,plain,
equal(multiply(double_divide(u,v),u),inverse(v)),
inference(rew,[status(thm),theory(equality)],[919,904]),
[iquote('0:Rew:919.0,904.0')] ).
cnf(922,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[920,835]),
[iquote('0:Rew:920.0,835.0')] ).
cnf(923,plain,
equal(multiply(u,v),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[922,833]),
[iquote('0:Rew:922.0,833.0')] ).
cnf(924,plain,
$false,
inference(unc,[status(thm)],[923,3]),
[iquote('0:UnC:923.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 11:09:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.63
% 0.47/0.63 SPASS V 3.9
% 0.47/0.63 SPASS beiseite: Proof found.
% 0.47/0.63 % SZS status Theorem
% 0.47/0.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.63 SPASS derived 719 clauses, backtracked 0 clauses, performed 0 splits and kept 475 clauses.
% 0.47/0.63 SPASS allocated 64992 KBytes.
% 0.47/0.63 SPASS spent 0:00:00.29 on the problem.
% 0.47/0.63 0:00:00.03 for the input.
% 0.47/0.63 0:00:00.00 for the FLOTTER CNF translation.
% 0.47/0.63 0:00:00.00 for inferences.
% 0.47/0.63 0:00:00.00 for the backtracking.
% 0.47/0.63 0:00:00.23 for the reduction.
% 0.47/0.63
% 0.47/0.63
% 0.47/0.63 Here is a proof with depth 7, length 114 :
% 0.47/0.63 % SZS output start Refutation
% See solution above
% 0.47/0.64 Formulae used in the proof : single_axiom multiply prove_these_axioms_4
% 0.47/0.64
%------------------------------------------------------------------------------