TSTP Solution File: GRP435-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n026.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 08:47:09 EDT 2022
% Result : Unsatisfiable 18.38s 18.72s
% Output : Refutation 18.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 2
% Syntax : Number of clauses : 105 ( 105 unt; 0 nHn; 2 RR)
% Number of literals : 105 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 436 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))),C),
file('GRP435-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP435-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),multiply(E,inverse(E))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C)),D),multiply(E,inverse(E))))),
inference(flip,[status(thm),theory(equality)],[3]),
[iquote('flip(3)')] ).
cnf(5,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(multiply(multiply(multiply(inverse(multiply(multiply(D,E),F)),D),E),multiply(G,inverse(G))),F))),C),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(6,plain,
equal(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C))),D),multiply(E,inverse(E)))),multiply(F,inverse(F))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(7,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(multiply(B,inverse(B)),multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D))),E),multiply(F,inverse(F))))),
inference(flip,[status(thm),theory(equality)],[6]),
[iquote('flip(6)')] ).
cnf(9,plain,
equal(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(multiply(multiply(multiply(inverse(multiply(multiply(D,E),F)),D),E),multiply(G,inverse(G))),F))),multiply(H,inverse(H))),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(10,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C)),D),multiply(multiply(multiply(multiply(inverse(multiply(multiply(E,F),G)),E),F),multiply(H,inverse(H))),G)))),
inference(flip,[status(thm),theory(equality)],[9]),
[iquote('flip(9)')] ).
cnf(11,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E)),F),inverse(F)),multiply(G,inverse(G)))),E),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(13,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),inverse(multiply(multiply(multiply(D,multiply(inverse(multiply(multiply(E,F),D)),E)),F),multiply(G,inverse(G)))))),C),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(16,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(17,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),inverse(C)),multiply(D,inverse(D)))),B),
inference(para,[status(thm),theory(equality)],[16,1]),
[iquote('para(16,1)')] ).
cnf(18,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),multiply(D,inverse(D)))),inverse(multiply(B,C))),
inference(para,[status(thm),theory(equality)],[16,1]),
[iquote('para(16,1)')] ).
cnf(19,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(multiply(B,inverse(B)),C))))),multiply(D,inverse(D)))),C),
inference(para,[status(thm),theory(equality)],[16,17]),
[iquote('para(16,17)')] ).
cnf(22,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))),inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B))),
inference(para,[status(thm),theory(equality)],[16,18]),
[iquote('para(16,18)')] ).
cnf(23,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),multiply(D,inverse(D))))),
inference(flip,[status(thm),theory(equality)],[22]),
[iquote('flip(22)')] ).
cnf(24,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))),inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C))))),
inference(para,[status(thm),theory(equality)],[16,18]),
[iquote('para(16,18)')] ).
cnf(25,plain,
equal(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),A)))),inverse(multiply(multiply(C,inverse(C)),multiply(D,inverse(D))))),
inference(flip,[status(thm),theory(equality)],[24]),
[iquote('flip(24)')] ).
cnf(37,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),inverse(C)),multiply(multiply(multiply(multiply(inverse(multiply(multiply(D,E),F)),D),E),multiply(G,inverse(G))),F))),B),
inference(para,[status(thm),theory(equality)],[1,17]),
[iquote('para(1,17)')] ).
cnf(77,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(multiply(multiply(inverse(multiply(multiply(C,D),E)),C),D),multiply(F,inverse(F))),E))),inverse(multiply(inverse(inverse(multiply(G,inverse(G)))),B))),
inference(para,[status(thm),theory(equality)],[1,22]),
[iquote('para(1,22)')] ).
cnf(78,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),multiply(multiply(multiply(multiply(inverse(multiply(multiply(D,E),F)),D),E),multiply(G,inverse(G))),F)))),
inference(flip,[status(thm),theory(equality)],[77]),
[iquote('flip(77)')] ).
cnf(99,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C))),D),multiply(E,inverse(E)))),F)),G),inverse(G)),multiply(multiply(multiply(multiply(inverse(multiply(multiply(H,I),J)),H),I),multiply(K,inverse(K))),J))),F),
inference(para,[status(thm),theory(equality)],[7,5]),
[iquote('para(7,5)')] ).
cnf(117,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B))))),C),inverse(C)),multiply(D,inverse(D)))),multiply(E,inverse(E))),
inference(para,[status(thm),theory(equality)],[22,17]),
[iquote('para(22,17)')] ).
cnf(122,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(multiply(C,inverse(C)))))))),multiply(D,inverse(D)))),multiply(E,inverse(E))),
inference(para,[status(thm),theory(equality)],[16,117]),
[iquote('para(16,117)')] ).
cnf(123,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(inverse(inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(multiply(D,inverse(D)))))))),multiply(E,inverse(E))))),
inference(flip,[status(thm),theory(equality)],[122]),
[iquote('flip(122)')] ).
cnf(152,plain,
equal(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,17]),17]),
[iquote('para(25,17),demod([17])')] ).
cnf(153,plain,
equal(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B)))),multiply(C,inverse(C))),
inference(flip,[status(thm),theory(equality)],[152]),
[iquote('flip(152)')] ).
cnf(168,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E)))))),C),
inference(para,[status(thm),theory(equality)],[152,1]),
[iquote('para(152,1)')] ).
cnf(173,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E)))))),inverse(multiply(B,C))),
inference(para,[status(thm),theory(equality)],[16,168]),
[iquote('para(16,168)')] ).
cnf(184,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B)))),C),multiply(D,inverse(D)))),inverse(multiply(inverse(inverse(multiply(E,inverse(E)))),C))),
inference(para,[status(thm),theory(equality)],[152,18]),
[iquote('para(152,18)')] ).
cnf(185,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(inverse(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))),B),multiply(E,inverse(E))))),
inference(flip,[status(thm),theory(equality)],[184]),
[iquote('flip(184)')] ).
cnf(198,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))))),inverse(multiply(inverse(inverse(multiply(E,inverse(E)))),B))),
inference(para,[status(thm),theory(equality)],[16,173]),
[iquote('para(16,173)')] ).
cnf(199,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E))))))),
inference(flip,[status(thm),theory(equality)],[198]),
[iquote('flip(198)')] ).
cnf(216,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(multiply(B,inverse(B)),C))))),multiply(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E))),multiply(F,inverse(F))))),C),
inference(para,[status(thm),theory(equality)],[153,19]),
[iquote('para(153,19)')] ).
cnf(217,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))),multiply(E,inverse(E))))),inverse(multiply(inverse(inverse(multiply(F,inverse(F)))),B))),
inference(para,[status(thm),theory(equality)],[153,22]),
[iquote('para(153,22)')] ).
cnf(218,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),multiply(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E))),multiply(F,inverse(F)))))),
inference(flip,[status(thm),theory(equality)],[217]),
[iquote('flip(217)')] ).
cnf(269,plain,
equal(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C)),D),multiply(E,inverse(E)))),A)),F)),inverse(F)),multiply(multiply(multiply(multiply(inverse(multiply(multiply(G,H),I)),G),H),multiply(J,inverse(J))),I))),multiply(K,inverse(K))),
inference(para,[status(thm),theory(equality)],[11,5]),
[iquote('para(11,5)')] ).
cnf(270,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D)),E),multiply(F,inverse(F)))),B)),G)),inverse(G)),multiply(multiply(multiply(multiply(inverse(multiply(multiply(H,I),J)),H),I),multiply(K,inverse(K))),J)))),
inference(flip,[status(thm),theory(equality)],[269]),
[iquote('flip(269)')] ).
cnf(290,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E)),F),inverse(F)),inverse(multiply(multiply(multiply(multiply(G,inverse(G)),multiply(H,multiply(inverse(multiply(multiply(I,J),H)),I))),J),multiply(K,inverse(K)))))),E),
inference(para,[status(thm),theory(equality)],[7,11]),
[iquote('para(7,11)')] ).
cnf(384,plain,
equal(inverse(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(C,inverse(C))))),A),B)),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[18,3]),
[iquote('para(18,3)')] ).
cnf(400,plain,
equal(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,C),inverse(multiply(D,inverse(D)))))),B),multiply(E,inverse(E)))),C),
inference(para,[status(thm),theory(equality)],[384,1]),
[iquote('para(384,1)')] ).
cnf(402,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))),inverse(B)),
inference(para,[status(thm),theory(equality)],[16,400]),
[iquote('para(16,400)')] ).
cnf(416,plain,
equal(multiply(A,inverse(A)),inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(multiply(C,inverse(C))))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[123]),402]),
[iquote('back_demod(123),demod([402])')] ).
cnf(417,plain,
equal(inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))))))),multiply(C,inverse(C))),
inference(flip,[status(thm),theory(equality)],[416]),
[iquote('flip(416)')] ).
cnf(422,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[23]),402]),
[iquote('back_demod(23),demod([402])')] ).
cnf(423,plain,
equal(inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[417]),422]),
[iquote('back_demod(417),demod([422])')] ).
cnf(436,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))),multiply(E,inverse(E))))),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[218]),422]),1]),
[iquote('back_demod(218),demod([422]),flip(1)')] ).
cnf(437,plain,
equal(inverse(inverse(inverse(inverse(multiply(multiply(A,inverse(A)),B))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[216]),436]),
[iquote('back_demod(216),demod([436])')] ).
cnf(442,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))))),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[199]),422]),1]),
[iquote('back_demod(199),demod([422]),flip(1)')] ).
cnf(443,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B)))),C),multiply(D,inverse(D)))),inverse(C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[185]),422]),1]),
[iquote('back_demod(185),demod([422]),flip(1)')] ).
cnf(451,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(multiply(multiply(inverse(multiply(multiply(C,D),E)),C),D),multiply(F,inverse(F))),E))),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[78]),422]),1]),
[iquote('back_demod(78),demod([422]),flip(1)')] ).
cnf(475,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(multiply(multiply(multiply(inverse(multiply(multiply(D,E),F)),D),E),multiply(G,inverse(G))),F))),H)),I),inverse(I)),inverse(multiply(multiply(multiply(J,multiply(inverse(multiply(multiply(K,L),J)),K)),L),multiply(M,inverse(M)))))),H),
inference(para,[status(thm),theory(equality)],[10,13]),
[iquote('para(10,13)')] ).
cnf(484,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[437,423]),
[iquote('para(437,423)')] ).
cnf(485,plain,
equal(multiply(A,inverse(A)),inverse(inverse(multiply(B,inverse(B))))),
inference(flip,[status(thm),theory(equality)],[484]),
[iquote('flip(484)')] ).
cnf(498,plain,
equal(inverse(inverse(inverse(inverse(multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),C))))),C),
inference(para,[status(thm),theory(equality)],[484,437]),
[iquote('para(484,437)')] ).
cnf(499,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[484,437]),
[iquote('para(484,437)')] ).
cnf(504,plain,
equal(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[499,484]),
[iquote('para(499,484)')] ).
cnf(505,plain,
equal(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),
inference(flip,[status(thm),theory(equality)],[504]),
[iquote('flip(504)')] ).
cnf(514,plain,
equal(inverse(inverse(inverse(inverse(multiply(inverse(multiply(A,inverse(A))),B))))),B),
inference(para,[status(thm),theory(equality)],[505,437]),
[iquote('para(505,437)')] ).
cnf(519,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[485,437]),422]),
[iquote('para(485,437),demod([422])')] ).
cnf(520,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[514]),519]),
[iquote('back_demod(514),demod([519])')] ).
cnf(521,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[498]),520,519]),
[iquote('back_demod(498),demod([520,519])')] ).
cnf(526,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(multiply(inverse(multiply(multiply(B,C),D)),B),C),multiply(E,inverse(E))),D))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[451]),521]),
[iquote('back_demod(451),demod([521])')] ).
cnf(529,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C)),D)),E),inverse(E)),inverse(multiply(multiply(multiply(F,multiply(inverse(multiply(multiply(G,H),F)),G)),H),multiply(I,inverse(I)))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[475]),526]),
[iquote('back_demod(475),demod([526])')] ).
cnf(545,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(B,multiply(inverse(multiply(inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D)),E),multiply(F,inverse(F)))),B)),G)),inverse(G)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[270]),526]),
[iquote('back_demod(270),demod([526])')] ).
cnf(546,plain,
equal(inverse(multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C)),D),multiply(E,inverse(E)))),A)),F)),inverse(F))),multiply(G,inverse(G))),
inference(flip,[status(thm),theory(equality)],[545]),
[iquote('flip(545)')] ).
cnf(561,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E)),F),inverse(F))),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[99]),521,526]),
[iquote('back_demod(99),demod([521,526])')] ).
cnf(566,plain,
equal(inverse(multiply(multiply(inverse(A),B),inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[37]),521,526]),
[iquote('back_demod(37),demod([521,526])')] ).
cnf(567,plain,
equal(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[561]),566]),
[iquote('back_demod(561),demod([566])')] ).
cnf(568,plain,
equal(inverse(multiply(multiply(A,multiply(inverse(A),B)),inverse(B))),multiply(C,inverse(C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[546]),567]),
[iquote('back_demod(546),demod([567])')] ).
cnf(590,plain,
equal(inverse(multiply(multiply(multiply(inverse(A),B),inverse(B)),inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D)),E),multiply(F,inverse(F)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[290]),567,521]),
[iquote('back_demod(290),demod([567,521])')] ).
cnf(591,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C)),D),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[529]),590]),
[iquote('back_demod(529),demod([590])')] ).
cnf(641,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[443]),520,520]),
[iquote('back_demod(443),demod([520,520])')] ).
cnf(643,plain,
equal(inverse(multiply(A,inverse(multiply(B,inverse(B))))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[442]),521,520]),
[iquote('back_demod(442),demod([521,520])')] ).
cnf(645,plain,
equal(inverse(multiply(inverse(multiply(A,B)),A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[400]),643,521,641]),
[iquote('back_demod(400),demod([643,521,641])')] ).
cnf(701,plain,
equal(inverse(inverse(inverse(A))),multiply(inverse(multiply(B,A)),B)),
inference(para,[status(thm),theory(equality)],[645,519]),
[iquote('para(645,519)')] ).
cnf(702,plain,
equal(multiply(inverse(multiply(A,B)),A),inverse(inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[701]),
[iquote('flip(701)')] ).
cnf(707,plain,
equal(multiply(multiply(multiply(inverse(multiply(A,B)),A),B),C),C),
inference(para,[status(thm),theory(equality)],[645,521]),
[iquote('para(645,521)')] ).
cnf(708,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[521,645]),641]),
[iquote('para(521,645),demod([641])')] ).
cnf(712,plain,
equal(multiply(inverse(multiply(A,B)),A),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[702]),708]),
[iquote('back_demod(702),demod([708])')] ).
cnf(713,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[707]),712]),
[iquote('back_demod(707),demod([712])')] ).
cnf(735,plain,
equal(inverse(multiply(multiply(A,B),inverse(B))),inverse(A)),
inference(para,[status(thm),theory(equality)],[708,566]),
[iquote('para(708,566)')] ).
cnf(737,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[641,708]),708]),1]),
[iquote('para(641,708),demod([708]),flip(1)')] ).
cnf(754,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[735,708]),708]),1]),
[iquote('para(735,708),demod([708]),flip(1)')] ).
cnf(760,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[643,708]),708]),1]),
[iquote('para(643,708),demod([708]),flip(1)')] ).
cnf(767,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(inverse(A),B)),inverse(B))),C),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[568,520]),737]),
[iquote('para(568,520),demod([737])')] ).
cnf(768,plain,
equal(multiply(multiply(multiply(A,multiply(inverse(A),B)),inverse(B)),C),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[568,521]),737]),
[iquote('para(568,521),demod([737])')] ).
cnf(775,plain,
equal(multiply(inverse(multiply(multiply(A,inverse(multiply(B,A))),B)),C),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[520,591]),760]),
[iquote('para(520,591),demod([760])')] ).
cnf(781,plain,
equal(multiply(multiply(multiply(inverse(A),multiply(A,B)),inverse(B)),C),C),
inference(para,[status(thm),theory(equality)],[708,768]),
[iquote('para(708,768)')] ).
cnf(809,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(B))),C),C),
inference(para,[status(thm),theory(equality)],[708,767]),
[iquote('para(708,767)')] ).
cnf(872,plain,
equal(multiply(multiply(multiply(A,inverse(multiply(B,A))),B),C),C),
inference(para,[status(thm),theory(equality)],[775,713]),
[iquote('para(775,713)')] ).
cnf(875,plain,
equal(multiply(A,inverse(multiply(B,A))),inverse(B)),
inference(para,[status(thm),theory(equality)],[754,872]),
[iquote('para(754,872)')] ).
cnf(881,plain,
equal(multiply(multiply(multiply(inverse(A),inverse(B)),multiply(B,A)),C),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[875,781]),708]),
[iquote('para(875,781),demod([708])')] ).
cnf(882,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),inverse(B)),multiply(B,A))),C),C),
inference(para,[status(thm),theory(equality)],[881,521]),
[iquote('para(881,521)')] ).
cnf(886,plain,
equal(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),inverse(C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[712,591]),1]),
[iquote('para(712,591),flip(1)')] ).
cnf(1821,plain,
equal(multiply(inverse(multiply(multiply(A,B),inverse(multiply(multiply(inverse(C),multiply(C,D)),inverse(D))))),A),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[886,809]),1]),
[iquote('para(886,809),flip(1)')] ).
cnf(1889,plain,
equal(multiply(inverse(multiply(multiply(A,B),inverse(multiply(multiply(inverse(C),inverse(D)),multiply(D,C))))),A),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[886,882]),1]),
[iquote('para(886,882),flip(1)')] ).
cnf(26590,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1821,520]),708]),1]),
[iquote('para(1821,520),demod([708]),flip(1)')] ).
cnf(28026,plain,
equal(inverse(multiply(A,B)),multiply(inverse(B),inverse(A))),
inference(para,[status(thm),theory(equality)],[1889,520]),
[iquote('para(1889,520)')] ).
cnf(31092,plain,
equal(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),inverse(C))),C)),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[886]),28026,28026]),
[iquote('back_demod(886),demod([28026,28026])')] ).
cnf(31098,plain,
equal(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(C))),C)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[708,31092]),708]),
[iquote('para(708,31092),demod([708])')] ).
cnf(31109,plain,
equal(multiply(A,multiply(multiply(inverse(A),B),C)),multiply(B,C)),
inference(para,[status(thm),theory(equality)],[754,31098]),
[iquote('para(754,31098)')] ).
cnf(31196,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26590,31109]),1]),
[iquote('para(26590,31109),flip(1)')] ).
cnf(31197,plain,
$false,
inference(conflict,[status(thm)],[31196,2]),
[iquote('conflict(31196,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n026.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 22:02:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 18.38/18.72 ----- EQP 0.9e, May 2009 -----
% 18.38/18.72 The job began on n026.cluster.edu, Mon Jun 13 22:02:37 2022
% 18.38/18.72 The command was "./eqp09e".
% 18.38/18.72
% 18.38/18.72 set(prolog_style_variables).
% 18.38/18.72 set(lrpo).
% 18.38/18.72 set(basic_paramod).
% 18.38/18.72 set(functional_subsume).
% 18.38/18.72 set(ordered_paramod).
% 18.38/18.72 set(prime_paramod).
% 18.38/18.72 set(para_pairs).
% 18.38/18.72 assign(pick_given_ratio,4).
% 18.38/18.72 clear(print_kept).
% 18.38/18.72 clear(print_new_demod).
% 18.38/18.72 clear(print_back_demod).
% 18.38/18.72 clear(print_given).
% 18.38/18.72 assign(max_mem,64000).
% 18.38/18.72 end_of_commands.
% 18.38/18.72
% 18.38/18.72 Usable:
% 18.38/18.72 end_of_list.
% 18.38/18.72
% 18.38/18.72 Sos:
% 18.38/18.72 0 (wt=-1) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 18.38/18.72 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 18.38/18.72 end_of_list.
% 18.38/18.72
% 18.38/18.72 Demodulators:
% 18.38/18.72 end_of_list.
% 18.38/18.72
% 18.38/18.72 Passive:
% 18.38/18.72 end_of_list.
% 18.38/18.72
% 18.38/18.72 Starting to process input.
% 18.38/18.72
% 18.38/18.72 ** KEPT: 1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 18.38/18.72 1 is a new demodulator.
% 18.38/18.72
% 18.38/18.72 ** KEPT: 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 18.38/18.72 ---------------- PROOF FOUND ----------------
% 18.38/18.72 % SZS status Unsatisfiable
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 After processing input:
% 18.38/18.73
% 18.38/18.73 Usable:
% 18.38/18.73 end_of_list.
% 18.38/18.73
% 18.38/18.73 Sos:
% 18.38/18.73 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 18.38/18.73 1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 18.38/18.73 end_of_list.
% 18.38/18.73
% 18.38/18.73 Demodulators:
% 18.38/18.73 1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 18.38/18.73 end_of_list.
% 18.38/18.73
% 18.38/18.73 Passive:
% 18.38/18.73 end_of_list.
% 18.38/18.73
% 18.38/18.73 UNIT CONFLICT from 31196 and 2 at 15.28 seconds.
% 18.38/18.73
% 18.38/18.73 ---------------- PROOF ----------------
% 18.38/18.73 % SZS output start Refutation
% See solution above
% 18.38/18.73 ------------ end of proof -------------
% 18.38/18.73
% 18.38/18.73
% 18.38/18.73 ------------- memory usage ------------
% 18.38/18.73 Memory dynamically allocated (tp_alloc): 51269.
% 18.38/18.73 type (bytes each) gets frees in use avail bytes
% 18.38/18.73 sym_ent ( 96) 57 0 57 0 5.3 K
% 18.38/18.73 term ( 16) 8301617 7545993 755624 63 14637.6 K
% 18.38/18.73 gen_ptr ( 8) 5761120 1941051 3820069 513 29848.3 K
% 18.38/18.73 context ( 808) 5316496 5316494 2 12 11.0 K
% 18.38/18.73 trail ( 12) 163731 163731 0 14 0.2 K
% 18.38/18.73 bt_node ( 68) 1746302 1746298 4 30 2.3 K
% 18.38/18.73 ac_position (285432) 0 0 0 0 0.0 K
% 18.38/18.73 ac_match_pos (14044) 0 0 0 0 0.0 K
% 18.38/18.73 ac_match_free_vars_pos (4020)
% 18.38/18.73 0 0 0 0 0.0 K
% 18.38/18.73 discrim ( 12) 315325 281418 33907 209160 2848.4 K
% 18.38/18.73 flat ( 40) 19125474 19125474 0 64 2.5 K
% 18.38/18.73 discrim_pos ( 12) 544583 544583 0 1 0.0 K
% 18.38/18.73 fpa_head ( 12) 13828 0 13828 0 162.0 K
% 18.38/18.73 fpa_tree ( 28) 45407 45407 0 17 0.5 K
% 18.38/18.73 fpa_pos ( 36) 37741 37741 0 1 0.0 K
% 18.38/18.73 literal ( 12) 350351 319155 31196 1 365.6 K
% 18.38/18.73 clause ( 24) 350351 319155 31196 1 731.2 K
% 18.38/18.73 list ( 12) 6604 6548 56 10 0.8 K
% 18.38/18.73 list_pos ( 20) 156258 117739 38519 53823 1803.6 K
% 18.38/18.73 pair_index ( 40) 2 0 2 0 0.1 K
% 18.38/18.73
% 18.38/18.73 -------------- statistics -------------
% 18.38/18.73 Clauses input 2
% 18.38/18.73 Usable input 0
% 18.38/18.73 Sos input 2
% 18.38/18.73 Demodulators input 0
% 18.38/18.73 Passive input 0
% 18.38/18.73
% 18.38/18.73 Processed BS (before search) 2
% 18.38/18.73 Forward subsumed BS 0
% 18.38/18.73 Kept BS 2
% 18.38/18.73 New demodulators BS 1
% 18.38/18.73 Back demodulated BS 0
% 18.38/18.73
% 18.38/18.73 Clauses or pairs given 181974
% 18.38/18.73 Clauses generated 197320
% 18.38/18.73 Forward subsumed 166126
% 18.38/18.73 Deleted by weight 0
% 18.38/18.73 Deleted by variable count 0
% 18.38/18.73 Kept 31194
% 18.38/18.73 New demodulators 6544
% 18.38/18.73 Back demodulated 27878
% 18.38/18.73 Ordered paramod prunes 0
% 18.38/18.73 Basic paramod prunes 848938
% 18.38/18.73 Prime paramod prunes 43310
% 18.38/18.73 Semantic prunes 0
% 18.38/18.73
% 18.38/18.73 Rewrite attmepts 2919764
% 18.38/18.73 Rewrites 382180
% 18.38/18.73
% 18.38/18.73 FPA overloads 0
% 18.38/18.73 FPA underloads 0
% 18.38/18.73
% 18.38/18.73 Usable size 0
% 18.38/18.73 Sos size 3317
% 18.38/18.73 Demodulators size 690
% 18.38/18.73 Passive size 0
% 18.38/18.73 Disabled size 27878
% 18.38/18.73
% 18.38/18.73 Proofs found 1
% 18.38/18.73
% 18.38/18.73 ----------- times (seconds) ----------- Mon Jun 13 22:02:54 2022
% 18.38/18.73
% 18.38/18.73 user CPU time 15.28 (0 hr, 0 min, 15 sec)
% 18.38/18.73 system CPU time 2.32 (0 hr, 0 min, 2 sec)
% 18.38/18.73 wall-clock time 17 (0 hr, 0 min, 17 sec)
% 18.38/18.73 input time 0.00
% 18.38/18.73 paramodulation time 0.80
% 18.38/18.73 demodulation time 0.65
% 18.38/18.73 orient time 0.43
% 18.38/18.73 weigh time 0.08
% 18.38/18.73 forward subsume time 0.24
% 18.38/18.73 back demod find time 0.38
% 18.38/18.73 conflict time 0.02
% 18.38/18.73 LRPO time 0.19
% 18.38/18.73 store clause time 6.41
% 18.38/18.73 disable clause time 5.50
% 18.38/18.73 prime paramod time 0.24
% 18.38/18.73 semantics time 0.00
% 18.38/18.73
% 18.38/18.73 EQP interrupted
%------------------------------------------------------------------------------