TSTP Solution File: GRP468-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP468-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n012.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 08:47:33 EDT 2022
% Result : Unsatisfiable 1.29s 1.67s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of clauses : 94 ( 94 unt; 0 nHn; 2 RR)
% Number of literals : 94 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 466 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))),C),
file('GRP468-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),divide(A,inverse(B))),
file('GRP468-1.p',unknown),
[] ).
cnf(3,plain,
equal(divide(A,inverse(B)),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[2]),
[iquote('flip(2)')] ).
cnf(4,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP468-1.p',unknown),
[] ).
cnf(7,plain,
equal(divide(divide(A,A),divide(divide(B,divide(divide(C,divide(D,B)),inverse(D))),divide(divide(E,C),inverse(divide(F,F))))),E),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(E,E)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(9,plain,
equal(divide(A,A),divide(divide(B,B),divide(divide(divide(C,divide(D,E)),inverse(D)),divide(C,inverse(E))))),
inference(flip,[status(thm),theory(equality)],[8]),
[iquote('flip(8)')] ).
cnf(13,plain,
equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))),C),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(14,plain,
equal(divide(multiply(inverse(A),A),divide(B,multiply(divide(C,divide(D,B)),D))),C),
inference(para,[status(thm),theory(equality)],[3,13]),
[iquote('para(3,13)')] ).
cnf(23,plain,
equal(divide(multiply(inverse(A),A),divide(divide(B,divide(divide(C,divide(D,B)),inverse(D))),divide(divide(E,C),inverse(divide(F,F))))),E),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(28,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D))),divide(divide(E,divide(F,F)),inverse(divide(G,G))))),E),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(31,plain,
equal(divide(multiply(inverse(A),A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(E,E)),
inference(para,[status(thm),theory(equality)],[3,8]),
[iquote('para(3,8)')] ).
cnf(39,plain,
equal(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),multiply(inverse(E),E)),
inference(para,[status(thm),theory(equality)],[9,3]),
[iquote('para(9,3)')] ).
cnf(45,plain,
equal(divide(A,A),divide(B,B)),
inference(para,[status(thm),theory(equality)],[8,8]),
[iquote('para(8,8)')] ).
cnf(46,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(E,divide(divide(F,divide(G,E)),inverse(G)))),F),
inference(para,[status(thm),theory(equality)],[9,1]),
[iquote('para(9,1)')] ).
cnf(48,plain,
equal(divide(divide(A,A),divide(B,divide(divide(divide(C,C),divide(divide(divide(D,divide(E,F)),inverse(E)),divide(D,inverse(F)))),inverse(G)))),divide(G,B)),
inference(para,[status(thm),theory(equality)],[9,1]),
[iquote('para(9,1)')] ).
cnf(49,plain,
equal(divide(A,B),divide(divide(C,C),divide(B,divide(divide(divide(D,D),divide(divide(divide(E,divide(F,G)),inverse(F)),divide(E,inverse(G)))),inverse(A))))),
inference(flip,[status(thm),theory(equality)],[48]),
[iquote('flip(48)')] ).
cnf(50,plain,
equal(divide(divide(A,A),divide(B,divide(divide(C,divide(D,D)),inverse(B)))),C),
inference(para,[status(thm),theory(equality)],[45,1]),
[iquote('para(45,1)')] ).
cnf(51,plain,
equal(divide(divide(A,A),divide(B,divide(divide(C,C),inverse(D)))),divide(D,B)),
inference(para,[status(thm),theory(equality)],[45,1]),
[iquote('para(45,1)')] ).
cnf(52,plain,
equal(divide(A,B),divide(divide(C,C),divide(B,divide(divide(D,D),inverse(A))))),
inference(flip,[status(thm),theory(equality)],[51]),
[iquote('flip(51)')] ).
cnf(53,plain,
equal(divide(divide(A,A),divide(B,divide(divide(C,C),inverse(B)))),divide(D,D)),
inference(para,[status(thm),theory(equality)],[45,50]),
[iquote('para(45,50)')] ).
cnf(54,plain,
equal(divide(A,A),divide(divide(B,B),divide(C,divide(divide(D,D),inverse(C))))),
inference(flip,[status(thm),theory(equality)],[53]),
[iquote('flip(53)')] ).
cnf(55,plain,
equal(divide(divide(A,A),divide(B,B)),divide(C,divide(divide(D,D),inverse(C)))),
inference(para,[status(thm),theory(equality)],[45,51]),
[iquote('para(45,51)')] ).
cnf(56,plain,
equal(divide(A,divide(divide(B,B),inverse(A))),divide(divide(C,C),divide(D,D))),
inference(flip,[status(thm),theory(equality)],[55]),
[iquote('flip(55)')] ).
cnf(57,plain,
equal(divide(multiply(inverse(A),A),divide(B,divide(divide(C,divide(D,D)),inverse(B)))),C),
inference(para,[status(thm),theory(equality)],[3,50]),
[iquote('para(3,50)')] ).
cnf(58,plain,
equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(D,D)),B))),C),
inference(para,[status(thm),theory(equality)],[3,50]),
[iquote('para(3,50)')] ).
cnf(59,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(E,divide(divide(F,divide(G,E)),inverse(G))),divide(divide(H,F),inverse(divide(I,I))))),H),
inference(para,[status(thm),theory(equality)],[9,7]),
[iquote('para(9,7)')] ).
cnf(68,plain,
equal(divide(divide(A,A),divide(B,multiply(divide(C,C),D))),divide(D,B)),
inference(para,[status(thm),theory(equality)],[3,51]),
[iquote('para(3,51)')] ).
cnf(70,plain,
equal(divide(divide(A,A),divide(B,B)),divide(C,multiply(divide(D,D),C))),
inference(para,[status(thm),theory(equality)],[45,68]),
[iquote('para(45,68)')] ).
cnf(71,plain,
equal(divide(A,multiply(divide(B,B),A)),divide(divide(C,C),divide(D,D))),
inference(flip,[status(thm),theory(equality)],[70]),
[iquote('flip(70)')] ).
cnf(336,plain,
equal(divide(divide(A,A),divide(divide(B,B),divide(C,C))),divide(D,D)),
inference(para,[status(thm),theory(equality)],[71,13]),
[iquote('para(71,13)')] ).
cnf(338,plain,
equal(divide(divide(A,A),divide(B,B)),divide(C,C)),
inference(para,[status(thm),theory(equality)],[45,336]),
[iquote('para(45,336)')] ).
cnf(339,plain,
equal(divide(A,A),divide(divide(B,B),divide(C,C))),
inference(flip,[status(thm),theory(equality)],[338]),
[iquote('flip(338)')] ).
cnf(344,plain,
equal(divide(multiply(inverse(A),A),divide(B,B)),divide(C,C)),
inference(para,[status(thm),theory(equality)],[3,338]),
[iquote('para(3,338)')] ).
cnf(346,plain,
equal(divide(divide(A,A),divide(B,B)),multiply(inverse(C),C)),
inference(para,[status(thm),theory(equality)],[339,3]),
[iquote('para(339,3)')] ).
cnf(364,plain,
equal(multiply(inverse(A),A),divide(B,B)),
inference(para,[status(thm),theory(equality)],[346,338]),
[iquote('para(346,338)')] ).
cnf(365,plain,
equal(divide(A,A),multiply(inverse(B),B)),
inference(flip,[status(thm),theory(equality)],[364]),
[iquote('flip(364)')] ).
cnf(523,plain,
equal(multiply(inverse(A),A),divide(B,divide(divide(C,C),inverse(B)))),
inference(para,[status(thm),theory(equality)],[365,51]),
[iquote('para(365,51)')] ).
cnf(527,plain,
equal(divide(A,divide(divide(B,B),inverse(A))),divide(C,C)),
inference(para,[status(thm),theory(equality)],[523,364]),
[iquote('para(523,364)')] ).
cnf(1120,plain,
equal(divide(divide(A,A),divide(divide(B,B),divide(divide(C,divide(D,D)),inverse(divide(E,E))))),C),
inference(para,[status(thm),theory(equality)],[338,1]),
[iquote('para(338,1)')] ).
cnf(1149,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D))),divide(divide(E,multiply(inverse(F),F)),inverse(divide(G,G))))),E),
inference(para,[status(thm),theory(equality)],[39,1]),
[iquote('para(39,1)')] ).
cnf(1664,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(divide(divide(E,divide(F,G)),inverse(F)),divide(E,inverse(G))),divide(divide(H,divide(I,I)),inverse(multiply(inverse(J),J))))),H),
inference(para,[status(thm),theory(equality)],[31,46]),
[iquote('para(31,46)')] ).
cnf(1697,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(divide(divide(E,divide(F,G)),inverse(F)),divide(E,inverse(G))),divide(divide(H,multiply(inverse(I),I)),inverse(divide(J,J))))),H),
inference(para,[status(thm),theory(equality)],[39,46]),
[iquote('para(39,46)')] ).
cnf(2026,plain,
equal(divide(multiply(inverse(A),A),divide(divide(B,B),divide(multiply(divide(C,divide(D,E)),D),divide(divide(divide(F,F),divide(divide(divide(G,divide(H,I)),inverse(H)),divide(G,inverse(I)))),inverse(E))))),C),
inference(para,[status(thm),theory(equality)],[49,14]),
[iquote('para(49,14)')] ).
cnf(2067,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D))),divide(divide(divide(E,E),divide(divide(F,F),divide(divide(divide(G,G),divide(divide(divide(H,divide(I,J)),inverse(I)),divide(H,inverse(J)))),inverse(K)))),inverse(divide(L,L))))),K),
inference(para,[status(thm),theory(equality)],[49,28]),
[iquote('para(49,28)')] ).
cnf(2386,plain,
equal(divide(multiply(inverse(A),A),divide(divide(B,B),divide(divide(divide(C,D),inverse(divide(E,E))),divide(divide(F,F),inverse(divide(G,divide(divide(D,divide(H,G)),inverse(H)))))))),C),
inference(para,[status(thm),theory(equality)],[52,23]),
[iquote('para(52,23)')] ).
cnf(2410,plain,
equal(divide(divide(A,A),divide(divide(B,B),divide(divide(divide(C,divide(D,D)),inverse(divide(E,E))),divide(divide(F,F),inverse(divide(divide(divide(G,divide(H,I)),inverse(H)),divide(G,inverse(I)))))))),C),
inference(para,[status(thm),theory(equality)],[52,28]),
[iquote('para(52,28)')] ).
cnf(2499,plain,
equal(divide(divide(A,A),divide(B,divide(divide(C,C),divide(inverse(D),divide(divide(E,E),inverse(divide(F,F))))))),divide(D,B)),
inference(para,[status(thm),theory(equality)],[52,51]),
[iquote('para(52,51)')] ).
cnf(2500,plain,
equal(divide(A,B),divide(divide(C,C),divide(B,divide(divide(D,D),divide(inverse(A),divide(divide(E,E),inverse(divide(F,F)))))))),
inference(flip,[status(thm),theory(equality)],[2499]),
[iquote('flip(2499)')] ).
cnf(2656,plain,
equal(divide(divide(A,A),divide(divide(B,B),divide(divide(C,divide(D,divide(divide(E,E),inverse(D)))),inverse(divide(F,F))))),C),
inference(para,[status(thm),theory(equality)],[55,1]),
[iquote('para(55,1)')] ).
cnf(2686,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(E,E),divide(divide(F,divide(G,divide(divide(H,H),inverse(G)))),inverse(divide(I,I))))),F),
inference(para,[status(thm),theory(equality)],[55,46]),
[iquote('para(55,46)')] ).
cnf(2801,plain,
equal(divide(multiply(inverse(A),A),divide(divide(B,B),divide(divide(divide(C,divide(D,D)),inverse(E)),divide(divide(divide(F,F),divide(divide(divide(G,divide(H,I)),inverse(H)),divide(G,inverse(I)))),inverse(E))))),C),
inference(para,[status(thm),theory(equality)],[49,57]),
[iquote('para(49,57)')] ).
cnf(2850,plain,
equal(divide(divide(A,A),divide(divide(B,B),divide(divide(C,divide(D,D)),inverse(multiply(inverse(E),E))))),C),
inference(para,[status(thm),theory(equality)],[344,1]),
[iquote('para(344,1)')] ).
cnf(2876,plain,
equal(divide(divide(A,A),divide(divide(B,B),divide(divide(C,multiply(inverse(D),D)),inverse(divide(E,E))))),C),
inference(para,[status(thm),theory(equality)],[346,1]),
[iquote('para(346,1)')] ).
cnf(2885,plain,
equal(divide(divide(A,A),divide(divide(B,B),divide(multiply(divide(C,divide(D,D)),E),divide(divide(divide(F,F),divide(divide(divide(G,divide(H,I)),inverse(H)),divide(G,inverse(I)))),inverse(E))))),C),
inference(para,[status(thm),theory(equality)],[49,58]),
[iquote('para(49,58)')] ).
cnf(3057,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(E,E),divide(divide(divide(F,G),inverse(divide(H,H))),divide(divide(I,I),inverse(divide(J,divide(divide(G,divide(K,J)),inverse(K)))))))),F),
inference(para,[status(thm),theory(equality)],[52,59]),
[iquote('para(52,59)')] ).
cnf(3067,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(E,divide(divide(F,divide(G,E)),inverse(G))),divide(divide(divide(H,H),divide(I,divide(divide(J,J),inverse(I)))),inverse(divide(K,K))))),F),
inference(para,[status(thm),theory(equality)],[54,59]),
[iquote('para(54,59)')] ).
cnf(3070,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(E,divide(divide(divide(divide(F,F),inverse(G)),divide(H,E)),inverse(H))),divide(divide(divide(I,I),divide(J,J)),inverse(divide(K,K))))),G),
inference(para,[status(thm),theory(equality)],[56,59]),
[iquote('para(56,59)')] ).
cnf(3123,plain,
equal(divide(divide(A,A),divide(inverse(B),divide(divide(C,C),inverse(divide(D,D))))),B),
inference(para,[status(thm),theory(equality)],[527,1]),
[iquote('para(527,1)')] ).
cnf(3124,plain,
equal(divide(A,B),divide(divide(C,C),divide(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2500]),3123]),
[iquote('back_demod(2500),demod([3123])')] ).
cnf(3125,plain,
equal(divide(divide(A,A),divide(B,C)),divide(C,B)),
inference(flip,[status(thm),theory(equality)],[3124]),
[iquote('flip(3124)')] ).
cnf(3170,plain,
equal(divide(divide(A,A),divide(divide(B,B),divide(C,D))),divide(C,D)),
inference(para,[status(thm),theory(equality)],[3124,3125]),
[iquote('para(3124,3125)')] ).
cnf(3174,plain,
equal(divide(multiply(divide(A,divide(B,B)),C),divide(divide(divide(D,D),divide(divide(divide(E,divide(F,G)),inverse(F)),divide(E,inverse(G)))),inverse(C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2885]),3170]),
[iquote('back_demod(2885),demod([3170])')] ).
cnf(3175,plain,
equal(divide(divide(A,multiply(inverse(B),B)),inverse(divide(C,C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2876]),3170]),
[iquote('back_demod(2876),demod([3170])')] ).
cnf(3176,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(divide(divide(E,divide(F,G)),inverse(F)),divide(E,inverse(G))),H)),H),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1697]),3175]),
[iquote('back_demod(1697),demod([3175])')] ).
cnf(3177,plain,
equal(divide(divide(A,divide(B,B)),inverse(multiply(inverse(C),C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1664]),3176]),
[iquote('back_demod(1664),demod([3176])')] ).
cnf(3178,plain,
equal(divide(divide(A,A),divide(divide(B,B),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2850]),3177]),
[iquote('back_demod(2850),demod([3177])')] ).
cnf(3181,plain,
equal(divide(divide(A,divide(B,divide(divide(C,C),inverse(B)))),inverse(divide(D,D))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2656]),3178]),
[iquote('back_demod(2656),demod([3178])')] ).
cnf(3182,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(E,divide(divide(F,divide(G,E)),inverse(G))),divide(H,H))),F),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3067]),3181]),
[iquote('back_demod(3067),demod([3181])')] ).
cnf(3183,plain,
equal(divide(divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),divide(divide(E,E),F)),F),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2686]),3181]),
[iquote('back_demod(2686),demod([3181])')] ).
cnf(3184,plain,
equal(divide(divide(divide(A,B),inverse(divide(C,C))),divide(divide(D,D),inverse(divide(E,divide(divide(B,divide(F,E)),inverse(F)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3057]),3183]),
[iquote('back_demod(3057),demod([3183])')] ).
cnf(3185,plain,
equal(divide(multiply(inverse(A),A),divide(divide(B,B),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2386]),3184]),
[iquote('back_demod(2386),demod([3184])')] ).
cnf(3187,plain,
equal(divide(divide(divide(A,divide(B,B)),inverse(C)),divide(divide(divide(D,D),divide(divide(divide(E,divide(F,G)),inverse(F)),divide(E,inverse(G)))),inverse(C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2801]),3185]),
[iquote('back_demod(2801),demod([3185])')] ).
cnf(3205,plain,
equal(divide(multiply(divide(A,divide(B,C)),B),divide(divide(divide(D,D),divide(divide(divide(E,divide(F,G)),inverse(F)),divide(E,inverse(G)))),inverse(C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2026]),3185]),
[iquote('back_demod(2026),demod([3185])')] ).
cnf(3228,plain,
equal(divide(divide(divide(A,divide(B,B)),inverse(divide(C,C))),divide(divide(D,D),inverse(divide(divide(divide(E,divide(F,G)),inverse(F)),divide(E,inverse(G)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2410]),3178]),
[iquote('back_demod(2410),demod([3178])')] ).
cnf(3262,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D))),divide(divide(divide(divide(E,E),divide(divide(divide(F,divide(G,H)),inverse(G)),divide(F,inverse(H)))),inverse(I)),inverse(divide(J,J))))),I),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2067]),3178]),
[iquote('back_demod(2067),demod([3178])')] ).
cnf(3288,plain,
equal(divide(divide(A,divide(B,B)),inverse(divide(C,C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1120]),3178]),
[iquote('back_demod(1120),demod([3178])')] ).
cnf(3290,plain,
equal(divide(A,divide(divide(B,B),inverse(divide(divide(divide(C,divide(D,E)),inverse(D)),divide(C,inverse(E)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3228]),3288]),
[iquote('back_demod(3228),demod([3288])')] ).
cnf(3291,plain,
equal(divide(divide(A,A),inverse(B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3070]),3288,3182]),
[iquote('back_demod(3070),demod([3288,3182])')] ).
cnf(3292,plain,
equal(divide(A,divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3290]),3291]),
[iquote('back_demod(3290),demod([3291])')] ).
cnf(3304,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D))),divide(E,inverse(divide(F,F))))),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3262]),3292,3291]),
[iquote('back_demod(3262),demod([3292,3291])')] ).
cnf(3312,plain,
equal(divide(divide(A,A),divide(divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D))),E)),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1149]),3175]),
[iquote('back_demod(1149),demod([3175])')] ).
cnf(3313,plain,
equal(divide(A,inverse(divide(B,B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3304]),3312]),
[iquote('back_demod(3304),demod([3312])')] ).
cnf(3322,plain,
equal(divide(A,divide(B,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3288]),3313]),
[iquote('back_demod(3288),demod([3313])')] ).
cnf(3324,plain,
equal(divide(divide(A,inverse(B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3187]),3322,3292,3291]),
[iquote('back_demod(3187),demod([3322,3292,3291])')] ).
cnf(3411,plain,
equal(divide(multiply(A,B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3174]),3322,3292,3291]),
[iquote('back_demod(3174),demod([3322,3292,3291])')] ).
cnf(3782,plain,
equal(divide(multiply(divide(A,divide(B,C)),B),C),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3205]),3292,3291]),
[iquote('back_demod(3205),demod([3292,3291])')] ).
cnf(3839,plain,
equal(multiply(multiply(A,inverse(B)),B),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3411,3]),1]),
[iquote('para(3411,3),flip(1)')] ).
cnf(3841,plain,
equal(multiply(A,inverse(B)),divide(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3411,3324]),1]),
[iquote('para(3411,3324),flip(1)')] ).
cnf(3842,plain,
equal(multiply(divide(A,B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3839]),3841]),
[iquote('back_demod(3839),demod([3841])')] ).
cnf(4035,plain,
equal(divide(multiply(divide(A,B),multiply(B,C)),C),A),
inference(para,[status(thm),theory(equality)],[3411,3782]),
[iquote('para(3411,3782)')] ).
cnf(4119,plain,
equal(divide(multiply(A,multiply(B,C)),C),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[3411,4035]),
[iquote('para(3411,4035)')] ).
cnf(4124,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(para,[status(thm),theory(equality)],[4119,3842]),
[iquote('para(4119,3842)')] ).
cnf(4125,plain,
$false,
inference(conflict,[status(thm)],[4124,4]),
[iquote('conflict(4124,4)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP468-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n012.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 18:48:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.29/1.67 ----- EQP 0.9e, May 2009 -----
% 1.29/1.67 The job began on n012.cluster.edu, Mon Jun 13 18:48:11 2022
% 1.29/1.67 The command was "./eqp09e".
% 1.29/1.67
% 1.29/1.67 set(prolog_style_variables).
% 1.29/1.67 set(lrpo).
% 1.29/1.67 set(basic_paramod).
% 1.29/1.67 set(functional_subsume).
% 1.29/1.67 set(ordered_paramod).
% 1.29/1.67 set(prime_paramod).
% 1.29/1.67 set(para_pairs).
% 1.29/1.67 assign(pick_given_ratio,4).
% 1.29/1.67 clear(print_kept).
% 1.29/1.67 clear(print_new_demod).
% 1.29/1.67 clear(print_back_demod).
% 1.29/1.67 clear(print_given).
% 1.29/1.67 assign(max_mem,64000).
% 1.29/1.67 end_of_commands.
% 1.29/1.67
% 1.29/1.67 Usable:
% 1.29/1.67 end_of_list.
% 1.29/1.67
% 1.29/1.67 Sos:
% 1.29/1.67 0 (wt=-1) [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C.
% 1.29/1.67 0 (wt=-1) [] multiply(A,B) = divide(A,inverse(B)).
% 1.29/1.67 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.29/1.67 end_of_list.
% 1.29/1.67
% 1.29/1.67 Demodulators:
% 1.29/1.67 end_of_list.
% 1.29/1.67
% 1.29/1.67 Passive:
% 1.29/1.67 end_of_list.
% 1.29/1.67
% 1.29/1.67 Starting to process input.
% 1.29/1.67
% 1.29/1.67 ** KEPT: 1 (wt=16) [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C.
% 1.29/1.67 1 is a new demodulator.
% 1.29/1.67
% 1.29/1.67 ** KEPT: 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 1.29/1.67
% 1.29/1.67 ** KEPT: 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 1.29/1.67 clause forward subsumed: 0 (wt=8) [flip(3)] multiply(A,B) = divide(A,inverse(B)).
% 1.29/1.67
% 1.29/1.67 ** KEPT: 4 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.29/1.67 ---------------- PROOF FOUND ----------------
% 1.29/1.67 % SZS status Unsatisfiable
% 1.29/1.67
% 1.29/1.67
% 1.29/1.67 After processing input:
% 1.29/1.67
% 1.29/1.67 Usable:
% 1.29/1.67 end_of_list.
% 1.29/1.67
% 1.29/1.67 Sos:
% 1.29/1.67 2 (wt=8) [] multiply(A,B) = divide(A,inverse(B)).
% 1.29/1.67 3 (wt=8) [flip(2)] divide(A,inverse(B)) = multiply(A,B).
% 1.29/1.67 4 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.29/1.67 1 (wt=16) [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C.
% 1.29/1.67 end_of_list.
% 1.29/1.67
% 1.29/1.67 Demodulators:
% 1.29/1.67 1 (wt=16) [] divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C.
% 1.29/1.67 end_of_list.
% 1.29/1.67
% 1.29/1.67 Passive:
% 1.29/1.67 end_of_list.
% 1.29/1.67
% 1.29/1.67 UNIT CONFLICT from 4124 and 4 at 0.46 seconds.
% 1.29/1.67
% 1.29/1.67 ---------------- PROOF ----------------
% 1.29/1.67 % SZS output start Refutation
% See solution above
% 1.29/1.67 ------------ end of proof -------------
% 1.29/1.67
% 1.29/1.67
% 1.29/1.67 ------------- memory usage ------------
% 1.29/1.67 Memory dynamically allocated (tp_alloc): 9765.
% 1.29/1.67 type (bytes each) gets frees in use avail bytes
% 1.29/1.67 sym_ent ( 96) 58 0 58 0 5.4 K
% 1.29/1.67 term ( 16) 422069 291770 130299 53 2529.8 K
% 1.29/1.67 gen_ptr ( 8) 866856 175325 691531 93 5403.3 K
% 1.29/1.67 context ( 808) 269541 269539 2 3 3.9 K
% 1.29/1.67 trail ( 12) 111243 111243 0 17 0.2 K
% 1.29/1.67 bt_node ( 68) 75810 75807 3 36 2.6 K
% 1.29/1.67 ac_position (285432) 0 0 0 0 0.0 K
% 1.29/1.67 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.29/1.67 ac_match_free_vars_pos (4020)
% 1.29/1.67 0 0 0 0 0.0 K
% 1.29/1.67 discrim ( 12) 64315 54221 10094 39416 580.2 K
% 1.29/1.67 flat ( 40) 1108852 1108852 0 79 3.1 K
% 1.29/1.67 discrim_pos ( 12) 14521 14521 0 1 0.0 K
% 1.29/1.67 fpa_head ( 12) 4764 0 4764 0 55.8 K
% 1.29/1.67 fpa_tree ( 28) 21161 21161 0 53 1.4 K
% 1.29/1.67 fpa_pos ( 36) 5069 5069 0 1 0.0 K
% 1.29/1.67 literal ( 12) 22415 18291 4124 1 48.3 K
% 1.29/1.67 clause ( 24) 22415 18291 4124 1 96.7 K
% 1.29/1.67 list ( 12) 1004 948 56 18 0.9 K
% 1.29/1.67 list_pos ( 20) 21839 16076 5763 7649 262.0 K
% 1.29/1.67 pair_index ( 40) 2 0 2 0 0.1 K
% 1.29/1.67
% 1.29/1.67 -------------- statistics -------------
% 1.29/1.67 Clauses input 3
% 1.29/1.67 Usable input 0
% 1.29/1.67 Sos input 3
% 1.29/1.67 Demodulators input 0
% 1.29/1.67 Passive input 0
% 1.29/1.67
% 1.29/1.67 Processed BS (before search) 5
% 1.29/1.67 Forward subsumed BS 1
% 1.29/1.67 Kept BS 4
% 1.29/1.67 New demodulators BS 1
% 1.29/1.67 Back demodulated BS 0
% 1.29/1.67
% 1.29/1.67 Clauses or pairs given 9237
% 1.29/1.67 Clauses generated 11746
% 1.29/1.67 Forward subsumed 7626
% 1.29/1.67 Deleted by weight 0
% 1.29/1.67 Deleted by variable count 0
% 1.29/1.67 Kept 4120
% 1.29/1.67 New demodulators 944
% 1.29/1.67 Back demodulated 3405
% 1.29/1.67 Ordered paramod prunes 0
% 1.29/1.67 Basic paramod prunes 33192
% 1.29/1.67 Prime paramod prunes 34
% 1.29/1.67 Semantic prunes 0
% 1.29/1.67
% 1.29/1.67 Rewrite attmepts 178802
% 1.29/1.67 Rewrites 7898
% 1.29/1.67
% 1.29/1.67 FPA overloads 0
% 1.29/1.67 FPA underloads 0
% 1.29/1.67
% 1.29/1.67 Usable size 0
% 1.29/1.67 Sos size 718
% 1.29/1.67 Demodulators size 204
% 1.29/1.67 Passive size 0
% 1.29/1.67 Disabled size 3405
% 1.29/1.67
% 1.29/1.67 Proofs found 1
% 1.29/1.67
% 1.29/1.67 ----------- times (seconds) ----------- Mon Jun 13 18:48:12 2022
% 1.29/1.67
% 1.29/1.67 user CPU time 0.46 (0 hr, 0 min, 0 sec)
% 1.29/1.67 system CPU time 0.17 (0 hr, 0 min, 0 sec)
% 1.29/1.67 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.29/1.67 input time 0.00
% 1.29/1.67 paramodulation time 0.04
% 1.29/1.67 demodulation time 0.04
% 1.29/1.67 orient time 0.04
% 1.29/1.67 weigh time 0.01
% 1.29/1.67 forward subsume time 0.02
% 1.29/1.67 back demod find time 0.07
% 1.29/1.67 conflict time 0.01
% 1.29/1.67 LRPO time 0.02
% 1.29/1.67 store clause time 0.13
% 1.29/1.67 disable clause time 0.04
% 1.29/1.67 prime paramod time 0.01
% 1.29/1.67 semantics time 0.00
% 1.29/1.67
% 1.29/1.67 EQP interrupted
%------------------------------------------------------------------------------