TSTP Solution File: BOO067-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : BOO067-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n022.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 : Thu Jul 14 23:37:33 EDT 2022
% Result : Unsatisfiable 1.14s 1.48s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 3 RR)
% Number of literals : 91 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 523 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),B),
file('BOO067-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(d,e,a),b,multiply(d,e,c)),multiply(d,e,multiply(a,b,c))),
file('BOO067-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),G,multiply(D,E,H))),multiply(E,multiply(H,G,F),D)),multiply(B,multiply(C,inverse(multiply(A,B,I)),I),A)),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(E,multiply(F,G,H),I)),inverse(multiply(multiply(I,E,H),G,multiply(I,E,F))),multiply(C,D,multiply(J,inverse(J),K)))),multiply(D,K,C)),B),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(multiply(multiply(A,multiply(multiply(B,C,D),inverse(multiply(multiply(B,C,E),A,F)),F),multiply(B,C,E)),inverse(multiply(multiply(G,H,I),J,multiply(G,H,K))),multiply(H,multiply(K,J,I),G)),multiply(C,multiply(D,A,E),B)),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(11,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),multiply(F,inverse(multiply(G,multiply(C,D,E),H)),H),G)),multiply(multiply(C,D,E),multiply(I,inverse(multiply(multiply(I,G,E),D,multiply(I,G,C))),F),G)),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(13,plain,
equal(multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),C)),C),A),B),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(20,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(inverse(E),multiply(C,inverse(multiply(E,inverse(E),F)),F),G))),multiply(multiply(C,inverse(multiply(E,inverse(E),F)),F),multiply(G,D,E),inverse(E))),B),
inference(para,[status(thm),theory(equality)],[13,1]),
[iquote('para(13,1)')] ).
cnf(22,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),multiply(F,inverse(multiply(E,inverse(E),G)),G),multiply(C,D,inverse(E)))),multiply(D,F,C)),B),
inference(para,[status(thm),theory(equality)],[13,1]),
[iquote('para(13,1)')] ).
cnf(23,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(C,inverse(C),D)),multiply(C,inverse(C),E))),E),B),
inference(para,[status(thm),theory(equality)],[13,1]),
[iquote('para(13,1)')] ).
cnf(39,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(inverse(inverse(C)),multiply(D,inverse(multiply(inverse(C),inverse(inverse(C)),E)),E),C),multiply(F,inverse(multiply(C,inverse(C),G)),G),D)),multiply(multiply(D,inverse(multiply(inverse(C),inverse(inverse(C)),E)),E),F,inverse(inverse(C)))),B),
inference(para,[status(thm),theory(equality)],[13,22]),
[iquote('para(13,22)')] ).
cnf(104,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,C)),multiply(multiply(C,inverse(multiply(E,inverse(E),F)),F),multiply(E,D,E),inverse(E))),B),
inference(para,[status(thm),theory(equality)],[13,20]),
[iquote('para(13,20)')] ).
cnf(110,plain,
equal(multiply(multiply(A,B,C),inverse(multiply(D,E,D)),multiply(multiply(D,inverse(multiply(F,inverse(F),G)),G),multiply(F,E,F),inverse(F))),multiply(B,multiply(C,inverse(multiply(A,B,H)),H),A)),
inference(para,[status(thm),theory(equality)],[1,104]),
[iquote('para(1,104)')] ).
cnf(112,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,multiply(F,E,D),B)),multiply(multiply(A,inverse(multiply(G,inverse(G),H)),H),multiply(G,inverse(A),G),inverse(G))),
inference(para,[status(thm),theory(equality)],[104,1]),
[iquote('para(104,1)')] ).
cnf(113,plain,
equal(multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),inverse(B)),multiply(A,inverse(multiply(multiply(D,E,F),G,multiply(D,E,H))),multiply(E,multiply(H,G,F),D))),
inference(flip,[status(thm),theory(equality)],[112]),
[iquote('flip(112)')] ).
cnf(127,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,inverse(D),F)),F),multiply(B,C,inverse(D)))),multiply(C,E,B)),multiply(multiply(A,inverse(multiply(G,inverse(G),H)),H),multiply(G,inverse(A),G),inverse(G))),
inference(para,[status(thm),theory(equality)],[13,112]),
[iquote('para(13,112)')] ).
cnf(132,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(multiply(multiply(D,inverse(D),E),inverse(multiply(D,inverse(D),E)),multiply(D,inverse(D),multiply(F,inverse(F),G)))),C)),multiply(multiply(C,inverse(multiply(multiply(F,inverse(F),G),inverse(multiply(F,inverse(F),G)),H)),H),G,inverse(multiply(F,inverse(F),G)))),B),
inference(para,[status(thm),theory(equality)],[23,104]),
[iquote('para(23,104)')] ).
cnf(245,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(inverse(B)),multiply(C,inverse(multiply(inverse(B),inverse(inverse(B)),D)),D),B),multiply(E,inverse(multiply(B,inverse(B),F)),F),C)),multiply(multiply(C,inverse(multiply(inverse(B),inverse(inverse(B)),D)),D),E,inverse(inverse(B)))),multiply(multiply(A,inverse(multiply(G,inverse(G),H)),H),multiply(G,inverse(A),G),inverse(G))),
inference(para,[status(thm),theory(equality)],[13,127]),
[iquote('para(13,127)')] ).
cnf(246,plain,
equal(multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),inverse(B)),multiply(A,inverse(multiply(multiply(inverse(inverse(D)),multiply(E,inverse(multiply(inverse(D),inverse(inverse(D)),F)),F),D),multiply(G,inverse(multiply(D,inverse(D),H)),H),E)),multiply(multiply(E,inverse(multiply(inverse(D),inverse(inverse(D)),F)),F),G,inverse(inverse(D))))),
inference(flip,[status(thm),theory(equality)],[245]),
[iquote('flip(245)')] ).
cnf(387,plain,
equal(multiply(multiply(A,multiply(multiply(B,C,D),inverse(multiply(multiply(B,C,E),A,F)),F),multiply(B,C,E)),inverse(multiply(G,H,multiply(inverse(I),multiply(G,inverse(multiply(I,inverse(I),J)),J),K))),multiply(multiply(G,inverse(multiply(I,inverse(I),J)),J),multiply(K,H,I),inverse(I))),multiply(C,multiply(D,A,E),B)),
inference(para,[status(thm),theory(equality)],[13,8]),
[iquote('para(13,8)')] ).
cnf(453,plain,
equal(multiply(multiply(A,multiply(B,inverse(multiply(B,A,C)),C),B),inverse(multiply(multiply(D,E,F),G,multiply(D,E,H))),multiply(E,multiply(H,G,F),D)),multiply(multiply(B,inverse(multiply(I,inverse(I),J)),J),multiply(I,A,I),inverse(I))),
inference(para,[status(thm),theory(equality)],[110,1]),
[iquote('para(110,1)')] ).
cnf(454,plain,
equal(multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,D,B),inverse(B)),multiply(multiply(D,multiply(A,inverse(multiply(A,D,E)),E),A),inverse(multiply(multiply(F,G,H),I,multiply(F,G,J))),multiply(G,multiply(J,I,H),F))),
inference(flip,[status(thm),theory(equality)],[453]),
[iquote('flip(453)')] ).
cnf(485,plain,
equal(multiply(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),D)),D),multiply(C,inverse(multiply(A,inverse(A),B)),C),inverse(C)),B),
inference(para,[status(thm),theory(equality)],[112,1]),
[iquote('para(112,1)')] ).
cnf(497,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,inverse(E)),multiply(E,inverse(multiply(F,inverse(F),G)),E),multiply(C,D,multiply(multiply(F,inverse(F),G),inverse(multiply(E,inverse(E),H)),H)))),multiply(D,G,C)),B),
inference(para,[status(thm),theory(equality)],[485,1]),
[iquote('para(485,1)')] ).
cnf(512,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(E,inverse(E),F)),F)),multiply(G,inverse(multiply(multiply(multiply(C,inverse(C),D),inverse(multiply(E,inverse(E),F)),F),inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(E,inverse(E),F)),F)),H)),H),inverse(E)),multiply(E,inverse(multiply(C,inverse(C),D)),E),G)),multiply(multiply(G,inverse(multiply(multiply(multiply(C,inverse(C),D),inverse(multiply(E,inverse(E),F)),F),inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(E,inverse(E),F)),F)),H)),H),D,inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(E,inverse(E),F)),F)))),B),
inference(para,[status(thm),theory(equality)],[13,497]),
[iquote('para(13,497)')] ).
cnf(536,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),C)),multiply(C,inverse(multiply(multiply(D,E,F),G,multiply(D,E,H))),multiply(E,multiply(H,G,F),D))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[113,1]),13,13]),
[iquote('para(113,1),demod([13,13])')] ).
cnf(560,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,multiply(F,E,D),B)),multiply(A,inverse(multiply(multiply(G,H,I),J,multiply(G,H,K))),multiply(H,multiply(K,J,I),G))),
inference(para,[status(thm),theory(equality)],[536,1]),
[iquote('para(536,1)')] ).
cnf(561,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(multiply(E,inverse(E),C),inverse(multiply(F,inverse(F),F)),G))),multiply(inverse(multiply(F,inverse(F),F)),multiply(G,D,multiply(F,inverse(multiply(multiply(H,I,J),K,multiply(H,I,L))),multiply(I,multiply(L,K,J),H))),multiply(E,inverse(E),C))),B),
inference(para,[status(thm),theory(equality)],[536,1]),
[iquote('para(536,1)')] ).
cnf(563,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(E,inverse(multiply(multiply(F,G,H),I,multiply(F,G,J))),multiply(G,multiply(J,I,H),F))),inverse(multiply(E,inverse(E),E)),multiply(C,D,multiply(K,inverse(K),L)))),multiply(D,L,C)),B),
inference(para,[status(thm),theory(equality)],[536,1]),
[iquote('para(536,1)')] ).
cnf(572,plain,
equal(multiply(A,inverse(multiply(B,C,multiply(inverse(D),multiply(B,inverse(multiply(D,inverse(D),E)),E),F))),multiply(multiply(B,inverse(multiply(D,inverse(D),E)),E),multiply(F,C,D),inverse(D))),multiply(A,inverse(multiply(multiply(G,H,I),J,multiply(G,H,K))),multiply(H,multiply(K,J,I),G))),
inference(para,[status(thm),theory(equality)],[13,560]),
[iquote('para(13,560)')] ).
cnf(573,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,multiply(F,E,D),B)),multiply(A,inverse(multiply(G,H,multiply(inverse(I),multiply(G,inverse(multiply(I,inverse(I),J)),J),K))),multiply(multiply(G,inverse(multiply(I,inverse(I),J)),J),multiply(K,H,I),inverse(I)))),
inference(flip,[status(thm),theory(equality)],[572]),
[iquote('flip(572)')] ).
cnf(629,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(D,C,multiply(E,inverse(E),F)),inverse(multiply(D,C,G)),G),D)),multiply(C,F,D)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,11]),1,1,1]),
[iquote('para(7,11),demod([1,1,1])')] ).
cnf(630,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(D,inverse(D),multiply(E,inverse(multiply(C,inverse(C),F)),F)))),E),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,629]),13]),
[iquote('para(13,629),demod([13])')] ).
cnf(637,plain,
equal(multiply(A,inverse(multiply(B,inverse(B),C)),C),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[630,1]),1]),
[iquote('para(630,1),demod([1])')] ).
cnf(638,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(D,inverse(D),E))),E),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[630]),637]),
[iquote('back_demod(630),demod([637])')] ).
cnf(652,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,multiply(F,E,D),B)),multiply(A,inverse(multiply(G,H,multiply(inverse(I),G,J))),multiply(G,multiply(J,H,I),inverse(I)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[573]),637,637]),
[iquote('back_demod(573),demod([637,637])')] ).
cnf(653,plain,
equal(multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,multiply(E,C,D),inverse(D))),multiply(A,inverse(multiply(multiply(F,G,H),I,multiply(F,G,J))),multiply(G,multiply(J,I,H),F))),
inference(flip,[status(thm),theory(equality)],[652]),
[iquote('flip(652)')] ).
cnf(674,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(inverse(multiply(C,inverse(C),D)),E,inverse(F)),multiply(F,inverse(multiply(C,inverse(C),D)),F),E)),multiply(E,D,inverse(multiply(C,inverse(C),D)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[512]),637,637,637,637,637,637,637,637]),
[iquote('back_demod(512),demod([637,637,637,637,637,637,637,637])')] ).
cnf(711,plain,
equal(multiply(A,multiply(B,C,B),inverse(B)),multiply(multiply(C,multiply(A,inverse(multiply(A,C,D)),D),A),inverse(multiply(multiply(E,F,G),H,multiply(E,F,I))),multiply(F,multiply(I,H,G),E))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[454]),637]),
[iquote('back_demod(454),demod([637])')] ).
cnf(712,plain,
equal(multiply(multiply(A,multiply(B,inverse(multiply(B,A,C)),C),B),inverse(multiply(multiply(D,E,F),G,multiply(D,E,H))),multiply(E,multiply(H,G,F),D)),multiply(B,multiply(I,A,I),inverse(I))),
inference(flip,[status(thm),theory(equality)],[711]),
[iquote('flip(711)')] ).
cnf(733,plain,
equal(multiply(multiply(A,multiply(multiply(B,C,D),inverse(multiply(multiply(B,C,E),A,F)),F),multiply(B,C,E)),inverse(multiply(G,H,multiply(inverse(I),G,J))),multiply(G,multiply(J,H,I),inverse(I))),multiply(C,multiply(D,A,E),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[387]),637,637]),
[iquote('back_demod(387),demod([637,637])')] ).
cnf(768,plain,
equal(multiply(A,multiply(B,inverse(A),B),inverse(B)),multiply(A,inverse(multiply(multiply(inverse(inverse(C)),D,C),E,D)),multiply(D,E,inverse(inverse(C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[246]),637,637,637,637]),
[iquote('back_demod(246),demod([637,637,637,637])')] ).
cnf(769,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(inverse(B)),C,B),D,C)),multiply(C,D,inverse(inverse(B)))),multiply(A,multiply(E,inverse(A),E),inverse(E))),
inference(flip,[status(thm),theory(equality)],[768]),
[iquote('flip(768)')] ).
cnf(810,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(multiply(multiply(D,inverse(D),E),inverse(multiply(D,inverse(D),E)),multiply(D,inverse(D),multiply(F,inverse(F),G)))),C)),multiply(C,G,inverse(multiply(F,inverse(F),G)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[132]),637]),
[iquote('back_demod(132),demod([637])')] ).
cnf(823,plain,
equal(multiply(A,multiply(B,inverse(A),B),inverse(B)),multiply(A,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[113]),637]),
[iquote('back_demod(113),demod([637])')] ).
cnf(824,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,multiply(F,E,D),B)),multiply(A,multiply(G,inverse(A),G),inverse(G))),
inference(flip,[status(thm),theory(equality)],[823]),
[iquote('flip(823)')] ).
cnf(844,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(inverse(inverse(C)),D,C),E,D)),multiply(D,E,inverse(inverse(C)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[39]),637,637,637]),
[iquote('back_demod(39),demod([637,637,637])')] ).
cnf(849,plain,
equal(multiply(inverse(A),B,A),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),637]),
[iquote('back_demod(13),demod([637])')] ).
cnf(878,plain,
equal(multiply(A,inverse(inverse(inverse(B))),B),A),
inference(para,[status(thm),theory(equality)],[849,637]),
[iquote('para(849,637)')] ).
cnf(882,plain,
equal(inverse(inverse(inverse(A))),inverse(A)),
inference(para,[status(thm),theory(equality)],[849,878]),
[iquote('para(849,878)')] ).
cnf(883,plain,
equal(multiply(A,inverse(B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[878]),882]),
[iquote('back_demod(878),demod([882])')] ).
cnf(926,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(E,inverse(multiply(multiply(F,G,H),I,multiply(F,G,J))),multiply(G,multiply(J,I,H),F))),inverse(E),multiply(C,D,multiply(K,inverse(K),L)))),multiply(D,L,C)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[563]),883]),
[iquote('back_demod(563),demod([883])')] ).
cnf(928,plain,
equal(multiply(multiply(A,inverse(A),B),inverse(multiply(C,D,multiply(multiply(E,inverse(E),C),inverse(F),G))),multiply(inverse(F),multiply(G,D,multiply(F,inverse(multiply(multiply(H,I,J),K,multiply(H,I,L))),multiply(I,multiply(L,K,J),H))),multiply(E,inverse(E),C))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[561]),883,883]),
[iquote('back_demod(561),demod([883,883])')] ).
cnf(981,plain,
equal(multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B),multiply(C,inverse(C),D))),D),A),
inference(para,[status(thm),theory(equality)],[849,638]),
[iquote('para(849,638)')] ).
cnf(983,plain,
equal(multiply(A,inverse(A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[849,638]),882,637]),
[iquote('para(849,638),demod([882,637])')] ).
cnf(984,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[981]),983,983,883]),
[iquote('back_demod(981),demod([983,983,883])')] ).
cnf(986,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,B),D,C)),multiply(C,D,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[844]),983,984,984]),
[iquote('back_demod(844),demod([983,984,984])')] ).
cnf(989,plain,
equal(multiply(A,multiply(B,inverse(A),B),inverse(B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[769]),984,984,986]),1]),
[iquote('back_demod(769),demod([984,984,986]),flip(1)')] ).
cnf(990,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,multiply(F,E,D),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[824]),989]),
[iquote('back_demod(824),demod([989])')] ).
cnf(995,plain,
equal(multiply(A,inverse(multiply(B,C,multiply(B,inverse(D),E))),multiply(inverse(D),multiply(E,C,D),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[928]),983,983,990,983]),
[iquote('back_demod(928),demod([983,983,990,983])')] ).
cnf(997,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,E))),multiply(C,E,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[926]),983,990,983]),
[iquote('back_demod(926),demod([983,990,983])')] ).
cnf(1002,plain,
equal(multiply(A,multiply(B,inverse(multiply(B,A,C)),C),B),multiply(B,multiply(D,A,D),inverse(D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[712]),990]),
[iquote('back_demod(712),demod([990])')] ).
cnf(1003,plain,
equal(multiply(A,multiply(B,C,B),inverse(B)),multiply(C,multiply(A,inverse(multiply(A,C,D)),D),A)),
inference(flip,[status(thm),theory(equality)],[1002]),
[iquote('flip(1002)')] ).
cnf(1009,plain,
equal(multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,multiply(E,C,D),inverse(D))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[653]),990]),
[iquote('back_demod(653),demod([990])')] ).
cnf(1010,plain,
equal(multiply(A,multiply(multiply(B,C,D),inverse(multiply(multiply(B,C,E),A,F)),F),multiply(B,C,E)),multiply(C,multiply(D,A,E),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[733]),1009]),
[iquote('back_demod(733),demod([1009])')] ).
cnf(1176,plain,
equal(multiply(A,inverse(multiply(B,inverse(C),B)),multiply(B,C,inverse(C))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[810]),983,983,983,983,983,983,983]),
[iquote('back_demod(810),demod([983,983,983,983,983,983,983])')] ).
cnf(1209,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),C,inverse(D)),multiply(D,inverse(B),D),C)),multiply(C,B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[674]),983,983,983,983]),
[iquote('back_demod(674),demod([983,983,983,983])')] ).
cnf(1212,plain,
equal(multiply(A,inverse(multiply(B,multiply(multiply(C,B,D),inverse(multiply(C,B,E)),E),C)),multiply(B,D,C)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[629]),983,983]),
[iquote('back_demod(629),demod([983,983])')] ).
cnf(1313,plain,
equal(multiply(A,B,inverse(B)),A),
inference(para,[status(thm),theory(equality)],[984,883]),
[iquote('para(984,883)')] ).
cnf(1315,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),C,inverse(D)),multiply(D,inverse(B),D),C)),C),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1209]),1313]),
[iquote('back_demod(1209),demod([1313])')] ).
cnf(1320,plain,
equal(multiply(A,inverse(multiply(B,inverse(C),B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1176]),1313]),
[iquote('back_demod(1176),demod([1313])')] ).
cnf(1324,plain,
equal(multiply(A,inverse(B),A),A),
inference(para,[status(thm),theory(equality)],[1320,983]),
[iquote('para(1320,983)')] ).
cnf(1325,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),C,inverse(D)),D,C)),C),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1315]),1324]),
[iquote('back_demod(1315),demod([1324])')] ).
cnf(1339,plain,
equal(multiply(A,inverse(multiply(B,C,B)),B),A),
inference(para,[status(thm),theory(equality)],[849,1325]),
[iquote('para(849,1325)')] ).
cnf(1340,plain,
equal(inverse(multiply(A,B,A)),inverse(A)),
inference(para,[status(thm),theory(equality)],[849,1339]),
[iquote('para(849,1339)')] ).
cnf(1364,plain,
equal(multiply(A,B,A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1340,984]),984]),1]),
[iquote('para(1340,984),demod([984]),flip(1)')] ).
cnf(1374,plain,
equal(multiply(A,multiply(B,inverse(multiply(B,A,C)),C),B),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1003]),1364,1313]),1]),
[iquote('back_demod(1003),demod([1364,1313]),flip(1)')] ).
cnf(1383,plain,
equal(multiply(A,B,B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1364,1374]),1364]),
[iquote('para(1364,1374),demod([1364])')] ).
cnf(1465,plain,
equal(multiply(A,B,multiply(A,inverse(C),D)),multiply(inverse(C),multiply(D,B,C),A)),
inference(para,[status(thm),theory(equality)],[995,983]),
[iquote('para(995,983)')] ).
cnf(1466,plain,
equal(multiply(inverse(A),multiply(B,C,A),D),multiply(D,C,multiply(D,inverse(A),B))),
inference(flip,[status(thm),theory(equality)],[1465]),
[iquote('flip(1465)')] ).
cnf(1532,plain,
equal(multiply(multiply(A,B,C),B,multiply(multiply(A,B,C),inverse(C),A)),multiply(A,B,C)),
inference(para,[status(thm),theory(equality)],[1466,1383]),
[iquote('para(1466,1383)')] ).
cnf(1540,plain,
equal(multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),B)),B),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[983,997]),1313]),
[iquote('para(983,997),demod([1313])')] ).
cnf(1582,plain,
equal(multiply(multiply(A,B,C),inverse(C),A),A),
inference(para,[status(thm),theory(equality)],[1540,983]),
[iquote('para(1540,983)')] ).
cnf(1583,plain,
equal(multiply(multiply(A,B,C),B,A),multiply(A,B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1532]),1582]),
[iquote('back_demod(1532),demod([1582])')] ).
cnf(1719,plain,
equal(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C),multiply(B,A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[983,1010]),983,983,849]),
[iquote('para(983,1010),demod([983,983,849])')] ).
cnf(1890,plain,
equal(multiply(A,inverse(multiply(B,C,D)),multiply(C,D,B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1212]),1719,1583]),
[iquote('back_demod(1212),demod([1719,1583])')] ).
cnf(1927,plain,
equal(multiply(multiply(A,B,C),D,multiply(A,B,E)),multiply(B,multiply(C,D,E),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1010]),1719]),
[iquote('back_demod(1010),demod([1719])')] ).
cnf(2079,plain,
~ equal(multiply(e,multiply(a,b,c),d),multiply(d,e,multiply(a,b,c))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2]),1927]),
[iquote('back_demod(2),demod([1927])')] ).
cnf(2082,plain,
equal(multiply(A,B,C),multiply(B,C,A)),
inference(para,[status(thm),theory(equality)],[1890,983]),
[iquote('para(1890,983)')] ).
cnf(2083,plain,
equal(multiply(A,B,C),multiply(C,A,B)),
inference(flip,[status(thm),theory(equality)],[2082]),
[iquote('flip(2082)')] ).
cnf(2084,plain,
$false,
inference(conflict,[status(thm)],[2083,2079]),
[iquote('conflict(2083,2079)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO067-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n022.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 : Wed Jun 1 16:23:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.14/1.48 ----- EQP 0.9e, May 2009 -----
% 1.14/1.48 The job began on n022.cluster.edu, Wed Jun 1 16:23:22 2022
% 1.14/1.48 The command was "./eqp09e".
% 1.14/1.48
% 1.14/1.48 set(prolog_style_variables).
% 1.14/1.48 set(lrpo).
% 1.14/1.48 set(basic_paramod).
% 1.14/1.48 set(functional_subsume).
% 1.14/1.48 set(ordered_paramod).
% 1.14/1.48 set(prime_paramod).
% 1.14/1.48 set(para_pairs).
% 1.14/1.48 assign(pick_given_ratio,4).
% 1.14/1.48 clear(print_kept).
% 1.14/1.48 clear(print_new_demod).
% 1.14/1.48 clear(print_back_demod).
% 1.14/1.48 clear(print_given).
% 1.14/1.48 assign(max_mem,64000).
% 1.14/1.48 end_of_commands.
% 1.14/1.48
% 1.14/1.48 Usable:
% 1.14/1.48 end_of_list.
% 1.14/1.48
% 1.14/1.48 Sos:
% 1.14/1.48 0 (wt=-1) [] multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B.
% 1.14/1.48 0 (wt=-1) [] -(multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(d,e,multiply(a,b,c))).
% 1.14/1.48 end_of_list.
% 1.14/1.48
% 1.14/1.48 Demodulators:
% 1.14/1.48 end_of_list.
% 1.14/1.48
% 1.14/1.48 Passive:
% 1.14/1.48 end_of_list.
% 1.14/1.48
% 1.14/1.48 Starting to process input.
% 1.14/1.48
% 1.14/1.48 ** KEPT: 1 (wt=26) [] multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B.
% 1.14/1.48 1 is a new demodulator.
% 1.14/1.48
% 1.14/1.48 ** KEPT: 2 (wt=18) [] -(multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(d,e,multiply(a,b,c))).
% 1.14/1.48 ---------------- PROOF FOUND ----------------
% 1.14/1.48 % SZS status Unsatisfiable
% 1.14/1.48
% 1.14/1.48
% 1.14/1.48 After processing input:
% 1.14/1.48
% 1.14/1.48 Usable:
% 1.14/1.48 end_of_list.
% 1.14/1.48
% 1.14/1.48 Sos:
% 1.14/1.48 2 (wt=18) [] -(multiply(multiply(d,e,a),b,multiply(d,e,c)) = multiply(d,e,multiply(a,b,c))).
% 1.14/1.48 1 (wt=26) [] multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B.
% 1.14/1.48 end_of_list.
% 1.14/1.48
% 1.14/1.48 Demodulators:
% 1.14/1.48 1 (wt=26) [] multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B.
% 1.14/1.48 end_of_list.
% 1.14/1.48
% 1.14/1.48 Passive:
% 1.14/1.48 end_of_list.
% 1.14/1.48
% 1.14/1.48 UNIT CONFLICT from 2083 and 2079 at 0.38 seconds.
% 1.14/1.48
% 1.14/1.48 ---------------- PROOF ----------------
% 1.14/1.48 % SZS output start Refutation
% See solution above
% 1.14/1.48 ------------ end of proof -------------
% 1.14/1.48
% 1.14/1.48
% 1.14/1.48 ------------- memory usage ------------
% 1.14/1.48 Memory dynamically allocated (tp_alloc): 9765.
% 1.14/1.48 type (bytes each) gets frees in use avail bytes
% 1.14/1.48 sym_ent ( 96) 62 0 62 0 5.8 K
% 1.14/1.48 term ( 16) 286042 159192 126850 119 2471.7 K
% 1.14/1.48 gen_ptr ( 8) 944870 203569 741301 90 5792.1 K
% 1.14/1.48 context ( 808) 122521 122519 2 4 4.7 K
% 1.14/1.48 trail ( 12) 119962 119962 0 23 0.3 K
% 1.14/1.48 bt_node ( 68) 18221 18216 5 67 4.8 K
% 1.14/1.48 ac_position (285432) 0 0 0 0 0.0 K
% 1.14/1.48 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.14/1.48 ac_match_free_vars_pos (4020)
% 1.14/1.48 0 0 0 0 0.0 K
% 1.14/1.48 discrim ( 12) 146932 130318 16614 32778 578.8 K
% 1.14/1.48 flat ( 40) 744626 744626 0 289 11.3 K
% 1.14/1.48 discrim_pos ( 12) 6239 6239 0 1 0.0 K
% 1.14/1.48 fpa_head ( 12) 11793 0 11793 0 138.2 K
% 1.14/1.48 fpa_tree ( 28) 21970 21970 0 63 1.7 K
% 1.14/1.48 fpa_pos ( 36) 3584 3584 0 1 0.0 K
% 1.14/1.48 literal ( 12) 6358 4275 2083 1 24.4 K
% 1.14/1.48 clause ( 24) 6358 4275 2083 1 48.8 K
% 1.14/1.48 list ( 12) 1560 1504 56 9 0.8 K
% 1.14/1.48 list_pos ( 20) 11547 8602 2945 453 66.4 K
% 1.14/1.48 pair_index ( 40) 2 0 2 0 0.1 K
% 1.14/1.48
% 1.14/1.48 -------------- statistics -------------
% 1.14/1.48 Clauses input 2
% 1.14/1.48 Usable input 0
% 1.14/1.48 Sos input 2
% 1.14/1.48 Demodulators input 0
% 1.14/1.48 Passive input 0
% 1.14/1.48
% 1.14/1.48 Processed BS (before search) 2
% 1.14/1.48 Forward subsumed BS 0
% 1.14/1.48 Kept BS 2
% 1.14/1.48 New demodulators BS 1
% 1.14/1.48 Back demodulated BS 0
% 1.14/1.48
% 1.14/1.48 Clauses or pairs given 1033
% 1.14/1.48 Clauses generated 3582
% 1.14/1.48 Forward subsumed 1501
% 1.14/1.48 Deleted by weight 0
% 1.14/1.48 Deleted by variable count 0
% 1.14/1.48 Kept 2081
% 1.14/1.48 New demodulators 1500
% 1.14/1.48 Back demodulated 1776
% 1.14/1.48 Ordered paramod prunes 0
% 1.14/1.48 Basic paramod prunes 6276
% 1.14/1.48 Prime paramod prunes 82
% 1.14/1.48 Semantic prunes 0
% 1.14/1.48
% 1.14/1.48 Rewrite attmepts 93203
% 1.14/1.48 Rewrites 5484
% 1.14/1.48
% 1.14/1.48 FPA overloads 0
% 1.14/1.48 FPA underloads 0
% 1.14/1.48
% 1.14/1.48 Usable size 0
% 1.14/1.48 Sos size 306
% 1.14/1.48 Demodulators size 251
% 1.14/1.48 Passive size 0
% 1.14/1.48 Disabled size 1776
% 1.14/1.48
% 1.14/1.48 Proofs found 1
% 1.14/1.48
% 1.14/1.48 ----------- times (seconds) ----------- Wed Jun 1 16:23:23 2022
% 1.14/1.48
% 1.14/1.48 user CPU time 0.38 (0 hr, 0 min, 0 sec)
% 1.14/1.48 system CPU time 0.04 (0 hr, 0 min, 0 sec)
% 1.14/1.48 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.14/1.48 input time 0.00
% 1.14/1.48 paramodulation time 0.02
% 1.14/1.48 demodulation time 0.03
% 1.14/1.48 orient time 0.01
% 1.14/1.48 weigh time 0.00
% 1.14/1.48 forward subsume time 0.01
% 1.14/1.48 back demod find time 0.07
% 1.14/1.48 conflict time 0.00
% 1.14/1.48 LRPO time 0.01
% 1.14/1.48 store clause time 0.17
% 1.14/1.48 disable clause time 0.03
% 1.14/1.48 prime paramod time 0.00
% 1.14/1.48 semantics time 0.00
% 1.14/1.48
% 1.14/1.48 EQP interrupted
%------------------------------------------------------------------------------