TSTP Solution File: GRP428-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP428-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n014.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 08:46:58 EDT 2022
% Result : Unsatisfiable 1.14s 1.49s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 2
% Syntax : Number of clauses : 90 ( 90 unt; 0 nHn; 2 RR)
% Number of literals : 90 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 20 ( 4 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 407 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))),C),
file('GRP428-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
file('GRP428-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),inverse(multiply(B,D))))),inverse(multiply(multiply(inverse(multiply(inverse(E),multiply(inverse(inverse(A)),C))),F),inverse(multiply(E,F))))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),C))),D),inverse(multiply(A,D)))),multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(E),C)),F),inverse(multiply(E,F)))))),
inference(flip,[status(thm),theory(equality)],[3]),
[iquote('flip(3)')] ).
cnf(7,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),inverse(multiply(multiply(inverse(multiply(inverse(C),multiply(inverse(inverse(inverse(A))),D))),E),inverse(multiply(C,E)))))),F),inverse(multiply(B,F))))),inverse(multiply(multiply(inverse(multiply(inverse(G),D)),H),inverse(multiply(G,H))))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(12,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(inverse(B),C)))),D),inverse(multiply(A,D)))),C),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(23,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),inverse(multiply(multiply(inverse(multiply(inverse(D),E)),F),inverse(multiply(D,F))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(G),multiply(inverse(inverse(B)),E))),H),inverse(multiply(G,H)))))))),inverse(multiply(multiply(inverse(multiply(inverse(I),multiply(inverse(inverse(A)),C))),J),inverse(multiply(I,J))))),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(24,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),C))),D),inverse(multiply(A,D)))),multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(E),C)),inverse(multiply(multiply(inverse(multiply(inverse(F),G)),H),inverse(multiply(F,H))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(I),multiply(inverse(inverse(E)),G))),J),inverse(multiply(I,J))))))))),
inference(flip,[status(thm),theory(equality)],[23]),
[iquote('flip(23)')] ).
cnf(25,plain,
equal(multiply(A,inverse(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),E)),F)),inverse(multiply(C,E))))),D))),G),inverse(multiply(B,G)))))),inverse(multiply(multiply(inverse(multiply(inverse(H),multiply(inverse(inverse(A)),F))),I),inverse(multiply(H,I))))),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(26,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),C))),D),inverse(multiply(A,D)))),multiply(B,inverse(inverse(multiply(multiply(inverse(multiply(inverse(E),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(F),G)),H)),C)),inverse(multiply(F,H))))),G))),I),inverse(multiply(E,I))))))),
inference(flip,[status(thm),theory(equality)],[25]),
[iquote('flip(25)')] ).
cnf(31,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),D)),E),inverse(multiply(C,E))))),multiply(inverse(A),F))),G),inverse(multiply(multiply(multiply(inverse(multiply(inverse(H),multiply(inverse(inverse(B)),D))),I),inverse(multiply(H,I))),G))))),F),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(34,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),inverse(multiply(B,D)))))),C),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(67,plain,
equal(multiply(inverse(A),multiply(A,B)),multiply(inverse(inverse(C)),multiply(inverse(C),B))),
inference(para,[status(thm),theory(equality)],[12,34]),
[iquote('para(12,34)')] ).
cnf(68,plain,
equal(multiply(inverse(inverse(A)),multiply(inverse(A),B)),multiply(inverse(C),multiply(C,B))),
inference(flip,[status(thm),theory(equality)],[67]),
[iquote('flip(67)')] ).
cnf(71,plain,
equal(multiply(inverse(inverse(inverse(A))),multiply(inverse(B),multiply(B,C))),multiply(inverse(inverse(D)),multiply(inverse(D),multiply(inverse(A),C)))),
inference(para,[status(thm),theory(equality)],[68,67]),
[iquote('para(68,67)')] ).
cnf(96,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),D),inverse(multiply(inverse(A),D))))),C),
inference(para,[status(thm),theory(equality)],[68,1]),
[iquote('para(68,1)')] ).
cnf(129,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(inverse(inverse(C))),multiply(inverse(inverse(inverse(A))),D)))),E),inverse(multiply(B,E))))),F),inverse(multiply(C,F))))),inverse(multiply(multiply(inverse(multiply(inverse(G),D)),H),inverse(multiply(G,H))))),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(130,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),B)),C),inverse(multiply(A,C)))),multiply(D,inverse(multiply(multiply(inverse(inverse(multiply(multiply(inverse(multiply(inverse(E),multiply(inverse(inverse(inverse(F))),multiply(inverse(inverse(inverse(D))),B)))),G),inverse(multiply(E,G))))),H),inverse(multiply(F,H)))))),
inference(flip,[status(thm),theory(equality)],[129]),
[iquote('flip(129)')] ).
cnf(163,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(D,B))),E),inverse(multiply(inverse(inverse(multiply(inverse(C),F))),E)))))))))),F),
inference(para,[status(thm),theory(equality)],[96,34]),
[iquote('para(96,34)')] ).
cnf(276,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(inverse(B)),multiply(inverse(B),multiply(inverse(C),D)))),E),inverse(multiply(inverse(inverse(C)),E))))),multiply(A,D)),
inference(para,[status(thm),theory(equality)],[71,1]),
[iquote('para(71,1)')] ).
cnf(278,plain,
equal(multiply(inverse(A),multiply(A,B)),multiply(inverse(C),multiply(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[71,34]),276]),
[iquote('para(71,34),demod([276])')] ).
cnf(306,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),D),inverse(multiply(E,D)))))),multiply(E,C)),
inference(para,[status(thm),theory(equality)],[278,34]),
[iquote('para(278,34)')] ).
cnf(312,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(multiply(inverse(A),multiply(multiply(inverse(D),multiply(D,E)),C)))))),E),
inference(para,[status(thm),theory(equality)],[278,96]),
[iquote('para(278,96)')] ).
cnf(638,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(D,B))),E),inverse(multiply(inverse(inverse(multiply(inverse(F),multiply(F,G)))),E)))))))))),multiply(C,G)),
inference(para,[status(thm),theory(equality)],[96,306]),
[iquote('para(96,306)')] ).
cnf(696,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,inverse(C)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[34,312]),34]),
[iquote('para(34,312),demod([34])')] ).
cnf(697,plain,
equal(multiply(inverse(multiply(inverse(A),multiply(A,B))),B),multiply(inverse(C),multiply(C,inverse(multiply(D,inverse(D)))))),
inference(para,[status(thm),theory(equality)],[696,278]),
[iquote('para(696,278)')] ).
cnf(744,plain,
equal(multiply(inverse(multiply(inverse(A),multiply(A,B))),B),multiply(inverse(multiply(inverse(C),multiply(C,D))),D)),
inference(para,[status(thm),theory(equality)],[696,306]),
[iquote('para(696,306)')] ).
cnf(777,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),C),inverse(multiply(D,E)))))),multiply(D,E)),
inference(para,[status(thm),theory(equality)],[744,34]),
[iquote('para(744,34)')] ).
cnf(781,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),C),inverse(D))))),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[696,777]),696]),
[iquote('para(696,777),demod([696])')] ).
cnf(849,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))),inverse(multiply(inverse(A),D))))),D),
inference(para,[status(thm),theory(equality)],[697,1]),
[iquote('para(697,1)')] ).
cnf(857,plain,
equal(multiply(A,inverse(inverse(multiply(B,inverse(B))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[696,849]),
[iquote('para(696,849)')] ).
cnf(858,plain,
equal(inverse(inverse(A)),multiply(A,inverse(inverse(multiply(B,inverse(B)))))),
inference(flip,[status(thm),theory(equality)],[857]),
[iquote('flip(857)')] ).
cnf(872,plain,
equal(multiply(A,multiply(multiply(B,inverse(B)),inverse(inverse(multiply(C,inverse(C)))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[858,857]),
[iquote('para(858,857)')] ).
cnf(876,plain,
equal(multiply(inverse(A),inverse(inverse(A))),multiply(inverse(B),multiply(B,inverse(inverse(multiply(C,inverse(C))))))),
inference(para,[status(thm),theory(equality)],[857,278]),
[iquote('para(857,278)')] ).
cnf(877,plain,
equal(multiply(inverse(A),multiply(A,inverse(inverse(multiply(B,inverse(B)))))),multiply(inverse(C),inverse(inverse(C)))),
inference(flip,[status(thm),theory(equality)],[876]),
[iquote('flip(876)')] ).
cnf(898,plain,
equal(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,inverse(C)),inverse(inverse(multiply(D,inverse(D))))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[858,872]),
[iquote('para(858,872)')] ).
cnf(899,plain,
equal(inverse(inverse(A)),multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,inverse(C)),inverse(inverse(multiply(D,inverse(D)))))))),
inference(flip,[status(thm),theory(equality)],[898]),
[iquote('flip(898)')] ).
cnf(1020,plain,
equal(multiply(inverse(A),inverse(inverse(A))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(para,[status(thm),theory(equality)],[877,872]),
[iquote('para(877,872)')] ).
cnf(1021,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(inverse(B),inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[1020]),
[iquote('flip(1020)')] ).
cnf(1022,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(para,[status(thm),theory(equality)],[1020,857]),
[iquote('para(1020,857)')] ).
cnf(1078,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(inverse(B)),C)),inverse(inverse(B))),inverse(inverse(inverse(inverse(multiply(D,inverse(D)))))))))),C),
inference(para,[status(thm),theory(equality)],[1020,34]),
[iquote('para(1020,34)')] ).
cnf(1089,plain,
equal(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(multiply(inverse(C),inverse(inverse(C))),D))),E),inverse(multiply(B,E))))),D),
inference(para,[status(thm),theory(equality)],[1021,1]),
[iquote('para(1021,1)')] ).
cnf(1113,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(multiply(B,inverse(B))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1022,781]),781]),
[iquote('para(1022,781),demod([781])')] ).
cnf(1225,plain,
equal(multiply(A,multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),D)),inverse(multiply(multiply(inverse(multiply(inverse(E),F)),G),inverse(multiply(E,G))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(H),multiply(inverse(inverse(C)),F))),I),inverse(multiply(H,I))))))))),inverse(multiply(multiply(inverse(multiply(inverse(J),multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),D)))),K),inverse(multiply(J,K))))),
inference(para,[status(thm),theory(equality)],[24,3]),
[iquote('para(24,3)')] ).
cnf(1226,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(inverse(inverse(C)),D)))),E),inverse(multiply(A,E)))),multiply(B,multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(F),D)),inverse(multiply(multiply(inverse(multiply(inverse(G),H)),I),inverse(multiply(G,I))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(J),multiply(inverse(inverse(F)),H))),K),inverse(multiply(J,K)))))))))),
inference(flip,[status(thm),theory(equality)],[1225]),
[iquote('flip(1225)')] ).
cnf(1359,plain,
equal(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1113,781]),781]),
[iquote('para(1113,781),demod([781])')] ).
cnf(1363,plain,
equal(multiply(inverse(A),multiply(A,inverse(inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),D)),E)),F)),inverse(multiply(C,E))))),D))),G),inverse(multiply(B,G))))))),F),
inference(para,[status(thm),theory(equality)],[26,1]),
[iquote('para(26,1)')] ).
cnf(1368,plain,
equal(inverse(multiply(inverse(A),multiply(A,inverse(inverse(multiply(B,inverse(B))))))),inverse(multiply(C,inverse(C)))),
inference(para,[status(thm),theory(equality)],[858,1359]),
[iquote('para(858,1359)')] ).
cnf(1430,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1368,1359]),696]),
[iquote('para(1368,1359),demod([696])')] ).
cnf(1431,plain,
equal(inverse(multiply(A,inverse(A))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(flip,[status(thm),theory(equality)],[1430]),
[iquote('flip(1430)')] ).
cnf(1457,plain,
equal(inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[1431,1430]),
[iquote('para(1431,1430)')] ).
cnf(1535,plain,
equal(inverse(inverse(multiply(inverse(A),inverse(inverse(A))))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[1021,1457]),
[iquote('para(1021,1457)')] ).
cnf(1539,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[1359,1535]),
[iquote('para(1359,1535)')] ).
cnf(1540,plain,
equal(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B))))),
inference(flip,[status(thm),theory(equality)],[1539]),
[iquote('flip(1539)')] ).
cnf(1543,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[1539,857]),
[iquote('para(1539,857)')] ).
cnf(1614,plain,
equal(inverse(inverse(multiply(inverse(A),multiply(A,B)))),B),
inference(para,[status(thm),theory(equality)],[1543,696]),
[iquote('para(1543,696)')] ).
cnf(1639,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(D,B))),E),inverse(multiply(F,E)))))))))),multiply(C,F)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[638]),1614]),
[iquote('back_demod(638),demod([1614])')] ).
cnf(1640,plain,
equal(multiply(A,inverse(inverse(multiply(inverse(A),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[163]),1639]),
[iquote('back_demod(163),demod([1639])')] ).
cnf(1667,plain,
equal(inverse(inverse(multiply(inverse(inverse(A)),B))),multiply(A,inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1640,1640]),1]),
[iquote('para(1640,1640),flip(1)')] ).
cnf(1729,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(inverse(multiply(B,inverse(B))),C)))),C),
inference(para,[status(thm),theory(equality)],[1539,1640]),
[iquote('para(1539,1640)')] ).
cnf(1730,plain,
equal(multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(inverse(C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1540,1640]),1667]),
[iquote('para(1540,1640),demod([1667])')] ).
cnf(1735,plain,
equal(inverse(inverse(A)),multiply(A,multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[899]),1730]),
[iquote('back_demod(899),demod([1730])')] ).
cnf(1736,plain,
equal(multiply(A,multiply(B,inverse(B))),inverse(inverse(A))),
inference(flip,[status(thm),theory(equality)],[1735]),
[iquote('flip(1735)')] ).
cnf(1787,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),D)),E),inverse(multiply(C,E))))),inverse(multiply(multiply(inverse(multiply(inverse(F),multiply(inverse(inverse(inverse(A))),G))),H),inverse(multiply(F,H)))))),I),inverse(multiply(multiply(multiply(inverse(multiply(inverse(J),multiply(inverse(inverse(B)),D))),K),inverse(multiply(J,K))),I))))),inverse(multiply(multiply(inverse(multiply(inverse(L),G)),inverse(multiply(multiply(inverse(multiply(inverse(M),N)),O),inverse(multiply(M,O))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(P),multiply(inverse(inverse(L)),N))),Q),inverse(multiply(P,Q)))))))),
inference(para,[status(thm),theory(equality)],[23,31]),
[iquote('para(23,31)')] ).
cnf(1788,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(multiply(inverse(multiply(inverse(C),D)),E),inverse(multiply(C,E))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(F),multiply(inverse(inverse(A)),D))),G),inverse(multiply(F,G))))))),multiply(H,inverse(multiply(multiply(inverse(multiply(multiply(I,inverse(multiply(multiply(inverse(multiply(inverse(J),K)),L),inverse(multiply(J,L))))),inverse(multiply(multiply(inverse(multiply(inverse(M),multiply(inverse(inverse(inverse(H))),B))),N),inverse(multiply(M,N)))))),O),inverse(multiply(multiply(multiply(inverse(multiply(inverse(P),multiply(inverse(inverse(I)),K))),Q),inverse(multiply(P,Q))),O)))))),
inference(flip,[status(thm),theory(equality)],[1787]),
[iquote('flip(1787)')] ).
cnf(1804,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),D)),E),inverse(multiply(C,E))))),inverse(multiply(multiply(inverse(multiply(inverse(F),multiply(inverse(inverse(inverse(A))),G))),H),inverse(multiply(F,H)))))),I),inverse(multiply(multiply(multiply(inverse(multiply(inverse(J),multiply(inverse(inverse(B)),D))),K),inverse(multiply(J,K))),I))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(L),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(M),N)),O)),G)),inverse(multiply(M,O))))),N))),P),inverse(multiply(L,P)))))),
inference(para,[status(thm),theory(equality)],[25,31]),
[iquote('para(25,31)')] ).
cnf(1805,plain,
equal(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),C)),D)),E)),inverse(multiply(B,D))))),C))),F),inverse(multiply(A,F))))),multiply(G,inverse(multiply(multiply(inverse(multiply(multiply(H,inverse(multiply(multiply(inverse(multiply(inverse(I),J)),K),inverse(multiply(I,K))))),inverse(multiply(multiply(inverse(multiply(inverse(L),multiply(inverse(inverse(inverse(G))),E))),M),inverse(multiply(L,M)))))),N),inverse(multiply(multiply(multiply(inverse(multiply(inverse(O),multiply(inverse(inverse(H)),J))),P),inverse(multiply(O,P))),N)))))),
inference(flip,[status(thm),theory(equality)],[1804]),
[iquote('flip(1804)')] ).
cnf(1820,plain,
equal(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),inverse(inverse(C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1431,1640]),1667]),
[iquote('para(1431,1640),demod([1667])')] ).
cnf(1831,plain,
equal(multiply(inverse(A),multiply(A,inverse(inverse(B)))),B),
inference(para,[status(thm),theory(equality)],[1667,1640]),
[iquote('para(1667,1640)')] ).
cnf(1832,plain,
equal(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),C)),D)),E)),inverse(multiply(B,D))))),C))),F),inverse(multiply(A,F))),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1363]),1831]),
[iquote('back_demod(1363),demod([1831])')] ).
cnf(1839,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(C),D)),E),inverse(multiply(C,E))))),inverse(multiply(multiply(inverse(multiply(inverse(F),multiply(inverse(inverse(inverse(A))),G))),H),inverse(multiply(F,H)))))),I),inverse(multiply(multiply(multiply(inverse(multiply(inverse(J),multiply(inverse(inverse(B)),D))),K),inverse(multiply(J,K))),I))))),inverse(inverse(G))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1805]),1832]),1]),
[iquote('back_demod(1805),demod([1832]),flip(1)')] ).
cnf(1840,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(multiply(inverse(multiply(inverse(C),D)),E),inverse(multiply(C,E))))),inverse(inverse(multiply(multiply(inverse(multiply(inverse(F),multiply(inverse(inverse(A)),D))),G),inverse(multiply(F,G))))))),inverse(inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1788]),1839]),
[iquote('back_demod(1788),demod([1839])')] ).
cnf(1891,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),multiply(inverse(inverse(C)),D)))),E),inverse(multiply(A,E)))),multiply(B,multiply(C,inverse(inverse(D))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1226]),1840]),
[iquote('back_demod(1226),demod([1840])')] ).
cnf(1914,plain,
equal(inverse(multiply(multiply(inverse(multiply(inverse(A),B)),C),inverse(multiply(A,C)))),inverse(inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[130]),1891,1]),
[iquote('back_demod(130),demod([1891,1])')] ).
cnf(2003,plain,
equal(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(multiply(multiply(inverse(B),inverse(inverse(B))),C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1089]),1914]),
[iquote('back_demod(1089),demod([1914])')] ).
cnf(2094,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(C,inverse(C)))))),inverse(B)),
inference(para,[status(thm),theory(equality)],[1735,1831]),
[iquote('para(1735,1831)')] ).
cnf(2098,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1831,1736]),1]),
[iquote('para(1831,1736),flip(1)')] ).
cnf(2149,plain,
equal(inverse(multiply(inverse(multiply(inverse(inverse(A)),B)),inverse(inverse(A)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1078]),2098,2094]),
[iquote('back_demod(1078),demod([2098,2094])')] ).
cnf(2166,plain,
equal(multiply(inverse(A),multiply(A,B)),inverse(inverse(B))),
inference(para,[status(thm),theory(equality)],[2098,1831]),
[iquote('para(2098,1831)')] ).
cnf(2286,plain,
equal(inverse(inverse(multiply(A,B))),multiply(inverse(inverse(A)),inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2166,2166]),1]),
[iquote('para(2166,2166),flip(1)')] ).
cnf(2335,plain,
equal(multiply(multiply(inverse(inverse(A)),inverse(inverse(inverse(A)))),multiply(multiply(inverse(inverse(inverse(B))),B),inverse(inverse(C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2003]),2286,2286,2286,2098]),
[iquote('back_demod(2003),demod([2286,2286,2286,2098])')] ).
cnf(2346,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))))),inverse(inverse(C)))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1729]),2286,2286]),
[iquote('back_demod(1729),demod([2286,2286])')] ).
cnf(2407,plain,
equal(inverse(multiply(inverse(multiply(A,B)),A)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2098,2149]),2098]),
[iquote('para(2098,2149),demod([2098])')] ).
cnf(2415,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1736,2407]),2286,2286,2286,2286,2098,2098,2098]),
[iquote('para(1736,2407),demod([2286,2286,2286,2286,2098,2098,2098])')] ).
cnf(2416,plain,
equal(multiply(multiply(inverse(inverse(inverse(A))),A),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2335]),2415]),
[iquote('back_demod(2335),demod([2415])')] ).
cnf(2419,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1820]),2415]),
[iquote('back_demod(1820),demod([2415])')] ).
cnf(2420,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2346]),2419]),
[iquote('back_demod(2346),demod([2419])')] ).
cnf(2421,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2419]),2420]),
[iquote('back_demod(2419),demod([2420])')] ).
cnf(2422,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2416]),2421,2421]),
[iquote('back_demod(2416),demod([2421,2421])')] ).
cnf(2423,plain,
$false,
inference(conflict,[status(thm)],[2422,2]),
[iquote('conflict(2422,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP428-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 11:40:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.14/1.49 ----- EQP 0.9e, May 2009 -----
% 1.14/1.49 The job began on n014.cluster.edu, Tue Jun 14 11:40:22 2022
% 1.14/1.49 The command was "./eqp09e".
% 1.14/1.49
% 1.14/1.49 set(prolog_style_variables).
% 1.14/1.49 set(lrpo).
% 1.14/1.49 set(basic_paramod).
% 1.14/1.49 set(functional_subsume).
% 1.14/1.49 set(ordered_paramod).
% 1.14/1.49 set(prime_paramod).
% 1.14/1.49 set(para_pairs).
% 1.14/1.49 assign(pick_given_ratio,4).
% 1.14/1.49 clear(print_kept).
% 1.14/1.49 clear(print_new_demod).
% 1.14/1.49 clear(print_back_demod).
% 1.14/1.49 clear(print_given).
% 1.14/1.49 assign(max_mem,64000).
% 1.14/1.49 end_of_commands.
% 1.14/1.49
% 1.14/1.49 Usable:
% 1.14/1.49 end_of_list.
% 1.14/1.49
% 1.14/1.49 Sos:
% 1.14/1.49 0 (wt=-1) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 1.14/1.49 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.14/1.49 end_of_list.
% 1.14/1.49
% 1.14/1.49 Demodulators:
% 1.14/1.49 end_of_list.
% 1.14/1.49
% 1.14/1.49 Passive:
% 1.14/1.49 end_of_list.
% 1.14/1.49
% 1.14/1.49 Starting to process input.
% 1.14/1.49
% 1.14/1.49 ** KEPT: 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 1.14/1.49 1 is a new demodulator.
% 1.14/1.49
% 1.14/1.49 ** KEPT: 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.14/1.49 ---------------- PROOF FOUND ----------------
% 1.14/1.49 % SZS status Unsatisfiable
% 1.14/1.49
% 1.14/1.49
% 1.14/1.49 After processing input:
% 1.14/1.49
% 1.14/1.49 Usable:
% 1.14/1.49 end_of_list.
% 1.14/1.49
% 1.14/1.49 Sos:
% 1.14/1.49 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 1.14/1.49 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 1.14/1.49 end_of_list.
% 1.14/1.49
% 1.14/1.49 Demodulators:
% 1.14/1.49 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 1.14/1.49 end_of_list.
% 1.14/1.49
% 1.14/1.49 Passive:
% 1.14/1.49 end_of_list.
% 1.14/1.49
% 1.14/1.49 UNIT CONFLICT from 2422 and 2 at 0.35 seconds.
% 1.14/1.49
% 1.14/1.49 ---------------- PROOF ----------------
% 1.14/1.49 % SZS output start Refutation
% See solution above
% 1.14/1.49 ------------ end of proof -------------
% 1.14/1.49
% 1.14/1.49
% 1.14/1.49 ------------- memory usage ------------
% 1.14/1.49 Memory dynamically allocated (tp_alloc): 10253.
% 1.14/1.49 type (bytes each) gets frees in use avail bytes
% 1.14/1.49 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.14/1.49 term ( 16) 386399 265686 120713 100 2350.2 K
% 1.14/1.49 gen_ptr ( 8) 998064 161057 837007 89 6539.8 K
% 1.14/1.49 context ( 808) 252510 252508 2 7 7.1 K
% 1.14/1.49 trail ( 12) 50675 50675 0 18 0.2 K
% 1.14/1.49 bt_node ( 68) 24957 24954 3 43 3.1 K
% 1.14/1.49 ac_position (285432) 0 0 0 0 0.0 K
% 1.14/1.49 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.14/1.49 ac_match_free_vars_pos (4020)
% 1.14/1.49 0 0 0 0 0.0 K
% 1.14/1.49 discrim ( 12) 81768 74794 6974 56767 747.0 K
% 1.14/1.49 flat ( 40) 1465815 1465815 0 113 4.4 K
% 1.14/1.49 discrim_pos ( 12) 9859 9859 0 1 0.0 K
% 1.14/1.49 fpa_head ( 12) 7698 0 7698 0 90.2 K
% 1.14/1.49 fpa_tree ( 28) 6440 6440 0 19 0.5 K
% 1.14/1.49 fpa_pos ( 36) 3239 3239 0 1 0.0 K
% 1.14/1.49 literal ( 12) 10441 8019 2422 1 28.4 K
% 1.14/1.49 clause ( 24) 10441 8019 2422 1 56.8 K
% 1.14/1.49 list ( 12) 876 816 60 6 0.8 K
% 1.14/1.49 list_pos ( 20) 12735 9114 3621 2916 127.7 K
% 1.14/1.49 pair_index ( 40) 2 0 2 0 0.1 K
% 1.14/1.49
% 1.14/1.49 -------------- statistics -------------
% 1.14/1.49 Clauses input 2
% 1.14/1.49 Usable input 0
% 1.14/1.49 Sos input 2
% 1.14/1.49 Demodulators input 0
% 1.14/1.49 Passive input 0
% 1.14/1.49
% 1.14/1.49 Processed BS (before search) 2
% 1.14/1.49 Forward subsumed BS 0
% 1.14/1.49 Kept BS 2
% 1.14/1.49 New demodulators BS 1
% 1.14/1.49 Back demodulated BS 0
% 1.14/1.49
% 1.14/1.49 Clauses or pairs given 1923
% 1.14/1.49 Clauses generated 5503
% 1.14/1.49 Forward subsumed 3083
% 1.14/1.49 Deleted by weight 0
% 1.14/1.49 Deleted by variable count 0
% 1.14/1.49 Kept 2420
% 1.14/1.49 New demodulators 816
% 1.14/1.49 Back demodulated 2052
% 1.14/1.49 Ordered paramod prunes 0
% 1.14/1.49 Basic paramod prunes 16109
% 1.14/1.49 Prime paramod prunes 7
% 1.14/1.49 Semantic prunes 0
% 1.14/1.49
% 1.14/1.49 Rewrite attmepts 202300
% 1.14/1.49 Rewrites 8017
% 1.14/1.49
% 1.14/1.49 FPA overloads 0
% 1.14/1.49 FPA underloads 0
% 1.14/1.49
% 1.14/1.49 Usable size 0
% 1.14/1.49 Sos size 369
% 1.14/1.49 Demodulators size 171
% 1.14/1.49 Passive size 0
% 1.14/1.49 Disabled size 2052
% 1.14/1.49
% 1.14/1.49 Proofs found 1
% 1.14/1.49
% 1.14/1.49 ----------- times (seconds) ----------- Tue Jun 14 11:40:22 2022
% 1.14/1.49
% 1.14/1.49 user CPU time 0.36 (0 hr, 0 min, 0 sec)
% 1.14/1.49 system CPU time 0.09 (0 hr, 0 min, 0 sec)
% 1.14/1.49 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 1.14/1.49 input time 0.00
% 1.14/1.49 paramodulation time 0.03
% 1.14/1.49 demodulation time 0.05
% 1.14/1.49 orient time 0.02
% 1.14/1.49 weigh time 0.01
% 1.14/1.49 forward subsume time 0.01
% 1.14/1.49 back demod find time 0.03
% 1.14/1.49 conflict time 0.00
% 1.14/1.49 LRPO time 0.01
% 1.14/1.49 store clause time 0.12
% 1.14/1.49 disable clause time 0.04
% 1.14/1.49 prime paramod time 0.01
% 1.14/1.49 semantics time 0.00
% 1.14/1.49
% 1.14/1.49 EQP interrupted
%------------------------------------------------------------------------------