TSTP Solution File: GRP432-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n032.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 08:47:08 EDT 2022
% Result : Unsatisfiable 0.71s 1.10s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 2
% Syntax : Number of clauses : 106 ( 106 unt; 0 nHn; 2 RR)
% Number of literals : 106 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 452 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))),D),
file('GRP432-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP432-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),E))),multiply(multiply(multiply(F,inverse(F)),inverse(D)),A)))),E),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,D))),multiply(E,inverse(E))),multiply(C,A)))),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(C)),multiply(D,inverse(D))),multiply(E,A)))),inverse(multiply(F,multiply(multiply(multiply(G,inverse(G)),inverse(multiply(C,F))),E)))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(8,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))),multiply(E,inverse(multiply(multiply(multiply(multiply(F,inverse(F)),inverse(C)),multiply(G,inverse(G))),multiply(D,E))))),
inference(flip,[status(thm),theory(equality)],[7]),
[iquote('flip(7)')] ).
cnf(10,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,multiply(multiply(multiply(E,inverse(E)),inverse(multiply(F,D))),multiply(G,inverse(G)))),B))),H))),multiply(F,A)))),H),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(13,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,D))),multiply(E,inverse(E))),multiply(C,F))),multiply(multiply(multiply(G,inverse(G)),inverse(D)),A)))),F),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(14,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A)))),multiply(multiply(multiply(E,inverse(E)),inverse(multiply(B,D))),multiply(F,inverse(F)))),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(15,plain,
equal(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(D,inverse(D))),multiply(E,inverse(multiply(multiply(B,multiply(F,inverse(F))),multiply(C,E))))),
inference(flip,[status(thm),theory(equality)],[14]),
[iquote('flip(14)')] ).
cnf(16,plain,
equal(multiply(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(D,inverse(D))),multiply(B,multiply(multiply(E,inverse(E)),inverse(multiply(F,G)))))),inverse(multiply(G,C))),F),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(33,plain,
equal(multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(multiply(multiply(E,multiply(F,inverse(F))),multiply(G,D)))))),A)))),multiply(multiply(H,inverse(H)),inverse(multiply(E,G)))),
inference(para,[status(thm),theory(equality)],[15,1]),
[iquote('para(15,1)')] ).
cnf(34,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(D,inverse(multiply(multiply(E,inverse(E)),multiply(multiply(multiply(F,inverse(F)),inverse(multiply(G,inverse(multiply(multiply(B,multiply(H,inverse(H))),multiply(C,G)))))),D))))),
inference(flip,[status(thm),theory(equality)],[33]),
[iquote('flip(33)')] ).
cnf(35,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,multiply(E,inverse(E))),multiply(B,C))))))),D),
inference(para,[status(thm),theory(equality)],[15,1]),
[iquote('para(15,1)')] ).
cnf(41,plain,
equal(multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,inverse(D))),multiply(A,B)))))),inverse(multiply(inverse(E),C))),E),
inference(para,[status(thm),theory(equality)],[35,1]),
[iquote('para(35,1)')] ).
cnf(43,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,multiply(E,inverse(E)))))),C))),D),
inference(para,[status(thm),theory(equality)],[1,35]),
[iquote('para(1,35)')] ).
cnf(51,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),multiply(multiply(multiply(D,inverse(D)),inverse(B)),A)))),inverse(multiply(E,multiply(F,inverse(multiply(multiply(C,multiply(G,inverse(G))),multiply(E,F))))))),
inference(para,[status(thm),theory(equality)],[41,1]),
[iquote('para(41,1)')] ).
cnf(52,plain,
equal(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,inverse(D))),multiply(A,B)))))),multiply(E,inverse(multiply(inverse(multiply(inverse(F),C)),multiply(multiply(multiply(G,inverse(G)),inverse(F)),E))))),
inference(flip,[status(thm),theory(equality)],[51]),
[iquote('flip(51)')] ).
cnf(56,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,multiply(E,inverse(E))))))),
inference(para,[status(thm),theory(equality)],[43,1]),
[iquote('para(43,1)')] ).
cnf(68,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),multiply(E,inverse(E)))))),D),
inference(para,[status(thm),theory(equality)],[56,1]),
[iquote('para(56,1)')] ).
cnf(85,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[68,1]),3]),
[iquote('para(68,1),demod([3])')] ).
cnf(91,plain,
equal(multiply(A,inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),A)))),B),
inference(para,[status(thm),theory(equality)],[85,1]),
[iquote('para(85,1)')] ).
cnf(92,plain,
equal(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))),inverse(multiply(C,multiply(D,inverse(D))))),B),
inference(para,[status(thm),theory(equality)],[85,1]),
[iquote('para(85,1)')] ).
cnf(93,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(inverse(B),multiply(C,inverse(C))))),B),
inference(para,[status(thm),theory(equality)],[85,91]),
[iquote('para(85,91)')] ).
cnf(114,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),D))),multiply(multiply(multiply(E,inverse(E)),inverse(B)),A)))),D),
inference(para,[status(thm),theory(equality)],[91,1]),
[iquote('para(91,1)')] ).
cnf(133,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(C))))),multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(A,multiply(E,inverse(E))))))),
inference(para,[status(thm),theory(equality)],[85,56]),
[iquote('para(85,56)')] ).
cnf(134,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,multiply(D,inverse(D)))))),multiply(inverse(C),inverse(multiply(B,multiply(E,inverse(E)))))),
inference(flip,[status(thm),theory(equality)],[133]),
[iquote('flip(133)')] ).
cnf(142,plain,
equal(multiply(A,multiply(B,inverse(multiply(multiply(multiply(multiply(C,inverse(C)),inverse(D)),multiply(E,inverse(E))),multiply(A,B))))),D),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(143,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(C)),multiply(D,inverse(D))),multiply(E,inverse(E)))))),C),
inference(para,[status(thm),theory(equality)],[85,142]),
[iquote('para(85,142)')] ).
cnf(158,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[85,114]),91]),
[iquote('para(85,114),demod([91])')] ).
cnf(160,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),inverse(multiply(C,inverse(C)))),
inference(para,[status(thm),theory(equality)],[85,158]),
[iquote('para(85,158)')] ).
cnf(164,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),multiply(D,inverse(D)))))),
inference(para,[status(thm),theory(equality)],[91,158]),
[iquote('para(91,158)')] ).
cnf(165,plain,
equal(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),multiply(C,inverse(C))))),multiply(inverse(multiply(D,inverse(D))),A)),
inference(flip,[status(thm),theory(equality)],[164]),
[iquote('flip(164)')] ).
cnf(166,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B))))),multiply(C,inverse(C))),
inference(para,[status(thm),theory(equality)],[158,93]),
[iquote('para(158,93)')] ).
cnf(167,plain,
equal(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),inverse(inverse(multiply(C,inverse(C)))))),
inference(flip,[status(thm),theory(equality)],[166]),
[iquote('flip(166)')] ).
cnf(213,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A)))),inverse(multiply(E,multiply(multiply(multiply(F,inverse(F)),inverse(multiply(multiply(G,multiply(multiply(multiply(H,inverse(H)),inverse(multiply(B,G))),multiply(I,inverse(I)))),E))),D)))),
inference(para,[status(thm),theory(equality)],[10,1]),
[iquote('para(10,1)')] ).
cnf(214,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(E,C))),multiply(F,inverse(F)))),A))),G))),multiply(H,inverse(multiply(multiply(E,multiply(I,inverse(I))),multiply(G,H))))),
inference(flip,[status(thm),theory(equality)],[213]),
[iquote('flip(213)')] ).
cnf(241,plain,
equal(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,inverse(C))))))),inverse(inverse(multiply(D,inverse(D))))),B),
inference(para,[status(thm),theory(equality)],[160,1]),
[iquote('para(160,1)')] ).
cnf(349,plain,
equal(multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(C)),multiply(D,inverse(D))),multiply(E,A)))),inverse(multiply(multiply(multiply(multiply(F,inverse(F)),inverse(multiply(G,C))),multiply(H,inverse(H))),multiply(G,E)))),
inference(para,[status(thm),theory(equality)],[13,1]),
[iquote('para(13,1)')] ).
cnf(350,plain,
equal(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(D,inverse(D))),multiply(B,E))),multiply(F,inverse(multiply(multiply(multiply(multiply(G,inverse(G)),inverse(C)),multiply(H,inverse(H))),multiply(E,F))))),
inference(flip,[status(thm),theory(equality)],[349]),
[iquote('flip(349)')] ).
cnf(380,plain,
equal(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),C)),C),
inference(para,[status(thm),theory(equality)],[165,91]),
[iquote('para(165,91)')] ).
cnf(389,plain,
equal(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(multiply(inverse(C),B))),C),
inference(para,[status(thm),theory(equality)],[380,91]),
[iquote('para(380,91)')] ).
cnf(422,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(B),multiply(C,inverse(C))))),
inference(para,[status(thm),theory(equality)],[93,380]),
[iquote('para(93,380)')] ).
cnf(424,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B)))),multiply(C,inverse(C))),
inference(para,[status(thm),theory(equality)],[422,85]),
[iquote('para(422,85)')] ).
cnf(425,plain,
equal(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[424]),
[iquote('flip(424)')] ).
cnf(441,plain,
equal(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),multiply(C,inverse(C))))))),B),
inference(para,[status(thm),theory(equality)],[422,91]),
[iquote('para(422,91)')] ).
cnf(447,plain,
equal(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(C)),D))),multiply(E,inverse(E))),inverse(multiply(F,multiply(multiply(multiply(G,inverse(G)),inverse(multiply(C,F))),D)))),
inference(para,[status(thm),theory(equality)],[14,7]),
[iquote('para(14,7)')] ).
cnf(448,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))),multiply(multiply(multiply(E,inverse(E)),inverse(multiply(multiply(multiply(F,inverse(F)),inverse(C)),D))),multiply(G,inverse(G)))),
inference(flip,[status(thm),theory(equality)],[447]),
[iquote('flip(447)')] ).
cnf(484,plain,
equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))))),inverse(multiply(inverse(D),A))),D),
inference(para,[status(thm),theory(equality)],[441,91]),
[iquote('para(441,91)')] ).
cnf(487,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(B),inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),multiply(D,inverse(D))))))),
inference(para,[status(thm),theory(equality)],[441,380]),
[iquote('para(441,380)')] ).
cnf(488,plain,
equal(inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C)))))),multiply(multiply(D,inverse(D)),A)),
inference(flip,[status(thm),theory(equality)],[487]),
[iquote('flip(487)')] ).
cnf(520,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(inverse(B),inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),multiply(D,inverse(D))))))),B),
inference(para,[status(thm),theory(equality)],[425,91]),
[iquote('para(425,91)')] ).
cnf(521,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(multiply(multiply(D,inverse(D)),inverse(E)),A)))),inverse(multiply(multiply(multiply(multiply(F,inverse(F)),inverse(multiply(G,C))),multiply(H,inverse(H))),multiply(G,multiply(multiply(I,inverse(I)),inverse(multiply(E,B))))))),
inference(para,[status(thm),theory(equality)],[16,1]),
[iquote('para(16,1)')] ).
cnf(522,plain,
equal(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(D,inverse(D))),multiply(B,multiply(multiply(E,inverse(E)),inverse(multiply(F,G)))))),multiply(H,inverse(multiply(inverse(multiply(G,C)),multiply(multiply(multiply(I,inverse(I)),inverse(F)),H))))),
inference(flip,[status(thm),theory(equality)],[521]),
[iquote('flip(521)')] ).
cnf(524,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))))),inverse(inverse(multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[425,380]),
[iquote('para(425,380)')] ).
cnf(525,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(multiply(B,inverse(B)),inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),multiply(D,inverse(D)))))),
inference(flip,[status(thm),theory(equality)],[524]),
[iquote('flip(524)')] ).
cnf(556,plain,
equal(multiply(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))),inverse(multiply(inverse(multiply(C,inverse(C))),inverse(inverse(multiply(D,inverse(D))))))),B),
inference(para,[status(thm),theory(equality)],[167,389]),
[iquote('para(167,389)')] ).
cnf(615,plain,
equal(multiply(inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))))),inverse(multiply(D,inverse(D)))),A),
inference(para,[status(thm),theory(equality)],[85,484]),
[iquote('para(85,484)')] ).
cnf(623,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C)))))),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[487,85]),
[iquote('para(487,85)')] ).
cnf(624,plain,
equal(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),multiply(D,inverse(D))))))),
inference(flip,[status(thm),theory(equality)],[623]),
[iquote('flip(623)')] ).
cnf(655,plain,
equal(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,A)))),inverse(C)),
inference(para,[status(thm),theory(equality)],[389,1]),
[iquote('para(389,1)')] ).
cnf(659,plain,
equal(multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))))),inverse(A)),
inference(para,[status(thm),theory(equality)],[85,655]),
[iquote('para(85,655)')] ).
cnf(662,plain,
equal(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[624]),659]),
[iquote('back_demod(624),demod([659])')] ).
cnf(663,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(B,inverse(B))),
inference(flip,[status(thm),theory(equality)],[662]),
[iquote('flip(662)')] ).
cnf(664,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[520]),659]),
[iquote('back_demod(520),demod([659])')] ).
cnf(666,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[556]),664,664]),
[iquote('back_demod(556),demod([664,664])')] ).
cnf(668,plain,
equal(inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[615]),666]),
[iquote('back_demod(615),demod([666])')] ).
cnf(676,plain,
equal(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(B))),inverse(inverse(multiply(C,inverse(C))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[241]),666]),
[iquote('back_demod(241),demod([666])')] ).
cnf(682,plain,
equal(inverse(inverse(A)),multiply(multiply(B,inverse(B)),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[488]),659]),
[iquote('back_demod(488),demod([659])')] ).
cnf(683,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[682]),
[iquote('flip(682)')] ).
cnf(687,plain,
equal(multiply(A,inverse(inverse(inverse(inverse(multiply(B,inverse(B))))))),A),
inference(para,[status(thm),theory(equality)],[683,666]),
[iquote('para(683,666)')] ).
cnf(698,plain,
equal(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))))),A),
inference(para,[status(thm),theory(equality)],[663,666]),
[iquote('para(663,666)')] ).
cnf(699,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[525]),698]),
[iquote('back_demod(525),demod([698])')] ).
cnf(703,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))),A),
inference(para,[status(thm),theory(equality)],[699,666]),
[iquote('para(699,666)')] ).
cnf(704,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[668]),703]),
[iquote('back_demod(668),demod([703])')] ).
cnf(705,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[687]),704]),
[iquote('back_demod(687),demod([704])')] ).
cnf(706,plain,
equal(multiply(A,inverse(inverse(multiply(B,inverse(B))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[703]),705]),
[iquote('back_demod(703),demod([705])')] ).
cnf(707,plain,
equal(inverse(multiply(multiply(A,inverse(A)),inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[676]),706]),
[iquote('back_demod(676),demod([706])')] ).
cnf(711,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[92]),707,705]),
[iquote('back_demod(92),demod([707,705])')] ).
cnf(817,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(B,multiply(multiply(D,inverse(D)),inverse(multiply(E,F)))))),multiply(G,inverse(multiply(inverse(multiply(F,C)),multiply(multiply(multiply(H,inverse(H)),inverse(E)),G))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[522]),705]),
[iquote('back_demod(522),demod([705])')] ).
cnf(818,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(multiply(multiply(D,inverse(D)),inverse(E)),A)))),inverse(multiply(multiply(multiply(F,inverse(F)),inverse(multiply(G,C))),multiply(G,multiply(multiply(H,inverse(H)),inverse(multiply(E,B))))))),
inference(flip,[status(thm),theory(equality)],[817]),
[iquote('flip(817)')] ).
cnf(865,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))),multiply(multiply(E,inverse(E)),inverse(multiply(multiply(multiply(F,inverse(F)),inverse(C)),D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[448]),705]),
[iquote('back_demod(448),demod([705])')] ).
cnf(866,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(C)),D))),inverse(multiply(E,multiply(multiply(multiply(F,inverse(F)),inverse(multiply(C,E))),D)))),
inference(flip,[status(thm),theory(equality)],[865]),
[iquote('flip(865)')] ).
cnf(912,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(B,D))),multiply(E,inverse(multiply(multiply(multiply(F,inverse(F)),inverse(C)),multiply(D,E))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[350]),705,705]),
[iquote('back_demod(350),demod([705,705])')] ).
cnf(913,plain,
equal(multiply(A,inverse(multiply(multiply(multiply(B,inverse(B)),inverse(C)),multiply(D,A)))),inverse(multiply(multiply(multiply(E,inverse(E)),inverse(multiply(F,C))),multiply(F,D)))),
inference(flip,[status(thm),theory(equality)],[912]),
[iquote('flip(912)')] ).
cnf(965,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(E,C)))),A))),F))),multiply(G,inverse(multiply(E,multiply(F,G))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[214]),705,705]),
[iquote('back_demod(214),demod([705,705])')] ).
cnf(966,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),inverse(multiply(D,multiply(multiply(multiply(E,inverse(E)),inverse(multiply(multiply(F,multiply(multiply(G,inverse(G)),inverse(multiply(B,F)))),D))),C)))),
inference(flip,[status(thm),theory(equality)],[965]),
[iquote('flip(965)')] ).
cnf(985,plain,
equal(multiply(A,multiply(inverse(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[143]),705,705,707]),
[iquote('back_demod(143),demod([705,705,707])')] ).
cnf(993,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(inverse(C),inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[134]),705,705]),
[iquote('back_demod(134),demod([705,705])')] ).
cnf(1010,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),inverse(multiply(D,multiply(multiply(inverse(D),inverse(inverse(B))),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[966]),993,985,993]),
[iquote('back_demod(966),demod([993,985,993])')] ).
cnf(1011,plain,
equal(inverse(multiply(A,multiply(multiply(inverse(A),inverse(inverse(B))),C))),multiply(D,inverse(multiply(B,multiply(C,D))))),
inference(flip,[status(thm),theory(equality)],[1010]),
[iquote('flip(1010)')] ).
cnf(1055,plain,
equal(multiply(A,inverse(multiply(multiply(multiply(B,inverse(B)),inverse(C)),multiply(D,A)))),inverse(multiply(multiply(inverse(C),inverse(E)),multiply(E,D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[913]),993]),
[iquote('back_demod(913),demod([993])')] ).
cnf(1056,plain,
equal(inverse(multiply(multiply(inverse(A),inverse(B)),multiply(B,C))),multiply(D,inverse(multiply(multiply(multiply(E,inverse(E)),inverse(A)),multiply(C,D))))),
inference(flip,[status(thm),theory(equality)],[1055]),
[iquote('flip(1055)')] ).
cnf(1100,plain,
equal(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),C))),multiply(inverse(C),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[866]),993,707,993]),1]),
[iquote('back_demod(866),demod([993,707,993]),flip(1)')] ).
cnf(1152,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),multiply(inverse(C),inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1011]),1100]),1]),
[iquote('back_demod(1011),demod([1100]),flip(1)')] ).
cnf(1167,plain,
equal(inverse(multiply(multiply(inverse(A),inverse(B)),multiply(B,C))),multiply(inverse(C),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1056]),1152,707]),
[iquote('back_demod(1056),demod([1152,707])')] ).
cnf(1195,plain,
equal(multiply(A,inverse(inverse(multiply(B,C)))),multiply(inverse(multiply(inverse(B),inverse(A))),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[818]),1152,707,993,993,1167]),
[iquote('back_demod(818),demod([1152,707,993,993,1167])')] ).
cnf(1196,plain,
equal(multiply(inverse(multiply(inverse(A),inverse(B))),C),multiply(B,inverse(inverse(multiply(A,C))))),
inference(flip,[status(thm),theory(equality)],[1195]),
[iquote('flip(1195)')] ).
cnf(1223,plain,
equal(multiply(A,inverse(inverse(multiply(inverse(A),B)))),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[52]),705,1152,985,1152,707]),1]),
[iquote('back_demod(52),demod([705,1152,985,1152,707]),flip(1)')] ).
cnf(1227,plain,
equal(inverse(multiply(inverse(inverse(A)),inverse(inverse(B)))),multiply(inverse(B),inverse(A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[34]),993,705,1152,993,1152,666]),1]),
[iquote('back_demod(34),demod([993,705,1152,993,1152,666]),flip(1)')] ).
cnf(1255,plain,
equal(multiply(A,inverse(inverse(B))),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[711,711]),
[iquote('para(711,711)')] ).
cnf(1261,plain,
equal(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(B),inverse(A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1227]),1255]),
[iquote('back_demod(1227),demod([1255])')] ).
cnf(1264,plain,
equal(inverse(inverse(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1223]),1255,985]),1]),
[iquote('back_demod(1223),demod([1255,985]),flip(1)')] ).
cnf(1265,plain,
equal(inverse(multiply(A,B)),multiply(inverse(B),inverse(A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1261]),1264]),
[iquote('back_demod(1261),demod([1264])')] ).
cnf(1296,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1196]),1265,1264,1264,1265,1265,1264,1264]),
[iquote('back_demod(1196),demod([1265,1264,1264,1265,1265,1264,1264])')] ).
cnf(1297,plain,
$false,
inference(conflict,[status(thm)],[1296,2]),
[iquote('conflict(1296,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP432-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Mon Jun 13 20:40:12 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.71/1.10 ----- EQP 0.9e, May 2009 -----
% 0.71/1.10 The job began on n032.cluster.edu, Mon Jun 13 20:40:12 2022
% 0.71/1.10 The command was "./eqp09e".
% 0.71/1.10
% 0.71/1.10 set(prolog_style_variables).
% 0.71/1.10 set(lrpo).
% 0.71/1.10 set(basic_paramod).
% 0.71/1.10 set(functional_subsume).
% 0.71/1.10 set(ordered_paramod).
% 0.71/1.10 set(prime_paramod).
% 0.71/1.10 set(para_pairs).
% 0.71/1.10 assign(pick_given_ratio,4).
% 0.71/1.10 clear(print_kept).
% 0.71/1.10 clear(print_new_demod).
% 0.71/1.10 clear(print_back_demod).
% 0.71/1.10 clear(print_given).
% 0.71/1.10 assign(max_mem,64000).
% 0.71/1.10 end_of_commands.
% 0.71/1.10
% 0.71/1.10 Usable:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Sos:
% 0.71/1.10 0 (wt=-1) [] multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D.
% 0.71/1.10 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Demodulators:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Passive:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Starting to process input.
% 0.71/1.10
% 0.71/1.10 ** KEPT: 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D.
% 0.71/1.10 1 is a new demodulator.
% 0.71/1.10
% 0.71/1.10 ** KEPT: 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.71/1.10 ---------------- PROOF FOUND ----------------
% 0.71/1.10 % SZS status Unsatisfiable
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 After processing input:
% 0.71/1.10
% 0.71/1.10 Usable:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Sos:
% 0.71/1.10 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.71/1.10 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D.
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Demodulators:
% 0.71/1.10 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D.
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 Passive:
% 0.71/1.10 end_of_list.
% 0.71/1.10
% 0.71/1.10 UNIT CONFLICT from 1296 and 2 at 0.13 seconds.
% 0.71/1.10
% 0.71/1.10 ---------------- PROOF ----------------
% 0.71/1.10 % SZS output start Refutation
% See solution above
% 0.71/1.10 ------------ end of proof -------------
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 ------------- memory usage ------------
% 0.71/1.10 Memory dynamically allocated (tp_alloc): 4394.
% 0.71/1.10 type (bytes each) gets frees in use avail bytes
% 0.71/1.10 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.71/1.10 term ( 16) 133004 85338 47666 45 926.8 K
% 0.71/1.10 gen_ptr ( 8) 387814 85698 302116 105 2361.1 K
% 0.71/1.10 context ( 808) 81015 81013 2 6 6.3 K
% 0.71/1.10 trail ( 12) 27923 27923 0 18 0.2 K
% 0.71/1.10 bt_node ( 68) 11171 11168 3 44 3.1 K
% 0.71/1.10 ac_position (285432) 0 0 0 0 0.0 K
% 0.71/1.10 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.71/1.10 ac_match_free_vars_pos (4020)
% 0.71/1.10 0 0 0 0 0.0 K
% 0.71/1.10 discrim ( 12) 43187 42137 1050 22134 271.7 K
% 0.71/1.10 flat ( 40) 454363 454363 0 91 3.6 K
% 0.71/1.10 discrim_pos ( 12) 4563 4563 0 1 0.0 K
% 0.71/1.10 fpa_head ( 12) 6235 0 6235 0 73.1 K
% 0.71/1.10 fpa_tree ( 28) 7337 7337 0 23 0.6 K
% 0.71/1.10 fpa_pos ( 36) 2122 2122 0 1 0.0 K
% 0.71/1.10 literal ( 12) 4525 3229 1296 1 15.2 K
% 0.71/1.10 clause ( 24) 4525 3229 1296 1 30.4 K
% 0.71/1.10 list ( 12) 885 826 59 5 0.8 K
% 0.71/1.10 list_pos ( 20) 7522 5858 1664 1163 55.2 K
% 0.71/1.10 pair_index ( 40) 2 0 2 0 0.1 K
% 0.71/1.10
% 0.71/1.10 -------------- statistics -------------
% 0.71/1.10 Clauses input 2
% 0.71/1.10 Usable input 0
% 0.71/1.10 Sos input 2
% 0.71/1.10 Demodulators input 0
% 0.71/1.10 Passive input 0
% 0.71/1.10
% 0.71/1.10 Processed BS (before search) 2
% 0.71/1.10 Forward subsumed BS 0
% 0.71/1.10 Kept BS 2
% 0.71/1.10 New demodulators BS 1
% 0.71/1.10 Back demodulated BS 0
% 0.71/1.10
% 0.71/1.10 Clauses or pairs given 768
% 0.71/1.10 Clauses generated 2528
% 0.71/1.10 Forward subsumed 1234
% 0.71/1.10 Deleted by weight 0
% 0.71/1.10 Deleted by variable count 0
% 0.71/1.10 Kept 1294
% 0.71/1.10 New demodulators 825
% 0.71/1.10 Back demodulated 1213
% 0.71/1.10 Ordered paramod prunes 0
% 0.71/1.10 Basic paramod prunes 7486
% 0.71/1.10 Prime paramod prunes 0
% 0.71/1.10 Semantic prunes 0
% 0.71/1.10
% 0.71/1.10 Rewrite attmepts 59896
% 0.71/1.10 Rewrites 3922
% 0.71/1.10
% 0.71/1.10 FPA overloads 0
% 0.71/1.10 FPA underloads 0
% 0.71/1.10
% 0.71/1.10 Usable size 0
% 0.71/1.10 Sos size 82
% 0.71/1.10 Demodulators size 55
% 0.71/1.10 Passive size 0
% 0.71/1.10 Disabled size 1213
% 0.71/1.10
% 0.71/1.10 Proofs found 1
% 0.71/1.10
% 0.71/1.10 ----------- times (seconds) ----------- Mon Jun 13 20:40:13 2022
% 0.71/1.10
% 0.71/1.10 user CPU time 0.13 (0 hr, 0 min, 0 sec)
% 0.71/1.10 system CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.71/1.10 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 0.71/1.11 input time 0.00
% 0.71/1.11 paramodulation time 0.01
% 0.71/1.11 demodulation time 0.02
% 0.71/1.11 orient time 0.01
% 0.71/1.11 weigh time 0.00
% 0.71/1.11 forward subsume time 0.01
% 0.71/1.11 back demod find time 0.02
% 0.71/1.11 conflict time 0.00
% 0.71/1.11 LRPO time 0.00
% 0.71/1.11 store clause time 0.04
% 0.71/1.11 disable clause time 0.01
% 0.71/1.11 prime paramod time 0.00
% 0.71/1.11 semantics time 0.00
% 0.71/1.11
% 0.71/1.11 EQP interrupted
%------------------------------------------------------------------------------