TSTP Solution File: GRP408-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP408-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n004.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 08:46:32 EDT 2022
% Result : Unsatisfiable 0.75s 1.50s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 2
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 2 RR)
% Number of literals : 68 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 252 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))),C),
file('GRP408-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP408-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(A,D)),B)),multiply(inverse(D),multiply(inverse(D),D))))))))),C),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D)),multiply(inverse(C),multiply(inverse(C),C)))),multiply(A,inverse(multiply(inverse(D),multiply(inverse(B),multiply(inverse(B),B)))))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,1]),1]),
[iquote('para(1,1),flip(1)')] ).
cnf(6,plain,
equal(multiply(A,inverse(multiply(inverse(B),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),multiply(inverse(C),multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(A,C)),D)),multiply(inverse(C),multiply(inverse(C),C))))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),E)),B)),multiply(inverse(E),multiply(inverse(E),E))))),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(9,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(multiply(A,inverse(multiply(inverse(D),multiply(inverse(B),multiply(inverse(B),B))))),multiply(inverse(D),multiply(inverse(D),D))))),multiply(inverse(C),multiply(inverse(C),C))),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(11,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),multiply(inverse(B),multiply(inverse(B),B)))))),C),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(16,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(D),multiply(inverse(E),multiply(inverse(E),E))))))),multiply(inverse(multiply(inverse(multiply(C,E)),B)),D)),
inference(para,[status(thm),theory(equality)],[4,11]),
[iquote('para(4,11)')] ).
cnf(17,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),D),multiply(inverse(multiply(E,C)),multiply(E,multiply(A,inverse(multiply(inverse(D),multiply(inverse(B),multiply(inverse(B),B)))))))),
inference(flip,[status(thm),theory(equality)],[16]),
[iquote('flip(16)')] ).
cnf(20,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(multiply(inverse(multiply(D,E)),B)),multiply(inverse(multiply(D,E)),C))),
inference(para,[status(thm),theory(equality)],[1,16]),
[iquote('para(1,16)')] ).
cnf(21,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(multiply(A,B)),D)),multiply(inverse(multiply(E,C)),multiply(E,D))),
inference(flip,[status(thm),theory(equality)],[20]),
[iquote('flip(20)')] ).
cnf(23,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(inverse(E),multiply(inverse(E),E)))))))),F)),multiply(inverse(multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(inverse(E),multiply(inverse(E),E))))))),multiply(inverse(D),D))))),F),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[16,1]),11]),
[iquote('para(16,1),demod([11])')] ).
cnf(33,plain,
equal(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(C,E))),multiply(inverse(D),multiply(inverse(D),D))))),multiply(inverse(multiply(A,B)),E)),
inference(para,[status(thm),theory(equality)],[21,1]),
[iquote('para(21,1)')] ).
cnf(52,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(D),D))),multiply(inverse(D),multiply(inverse(D),D))))))))),C),
inference(para,[status(thm),theory(equality)],[17,1]),
[iquote('para(17,1)')] ).
cnf(60,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(inverse(B),multiply(inverse(B),B)))),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,1]),1]),1]),
[iquote('para(33,1),demod([1]),flip(1)')] ).
cnf(70,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(multiply(D,B)),multiply(D,C))),
inference(para,[status(thm),theory(equality)],[60,11]),
[iquote('para(60,11)')] ).
cnf(73,plain,
equal(multiply(inverse(multiply(A,B)),C),multiply(inverse(multiply(D,B)),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(A,E)),C)),multiply(inverse(E),multiply(inverse(E),E))))))),
inference(para,[status(thm),theory(equality)],[1,70]),
[iquote('para(1,70)')] ).
cnf(79,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,D)),multiply(C,multiply(inverse(B),B)))))),multiply(inverse(B),D)),
inference(para,[status(thm),theory(equality)],[70,11]),
[iquote('para(70,11)')] ).
cnf(82,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),D)),multiply(inverse(multiply(E,C)),multiply(E,multiply(A,inverse(multiply(inverse(multiply(F,D)),multiply(F,multiply(inverse(B),B)))))))),
inference(para,[status(thm),theory(equality)],[79,70]),
[iquote('para(79,70)')] ).
cnf(83,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(multiply(D,E)),multiply(D,multiply(inverse(F),F))))))),multiply(inverse(multiply(inverse(multiply(C,F)),B)),multiply(inverse(F),E))),
inference(flip,[status(thm),theory(equality)],[82]),
[iquote('flip(82)')] ).
cnf(178,plain,
equal(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(C),C))),multiply(inverse(C),multiply(inverse(C),C)))))),multiply(inverse(B),multiply(inverse(B),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,9]),1,4]),
[iquote('para(6,9),demod([1,4])')] ).
cnf(182,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,inverse(multiply(inverse(multiply(D,multiply(inverse(E),E))),multiply(D,multiply(inverse(E),E))))))))),C),
inference(para,[status(thm),theory(equality)],[70,52]),
[iquote('para(70,52)')] ).
cnf(231,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(inverse(B),B)))))),C),multiply(inverse(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(inverse(B),B))))),C)),
inference(para,[status(thm),theory(equality)],[182,11]),
[iquote('para(182,11)')] ).
cnf(247,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(E,F)),multiply(inverse(B),multiply(inverse(B),B)))),multiply(inverse(F),multiply(inverse(F),F))))))))),multiply(E,D)),
inference(para,[status(thm),theory(equality)],[73,11]),
[iquote('para(73,11)')] ).
cnf(331,plain,
equal(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(multiply(inverse(multiply(C,multiply(inverse(D),D))),multiply(C,multiply(inverse(D),D)))))),multiply(inverse(B),multiply(inverse(B),B))),
inference(para,[status(thm),theory(equality)],[70,178]),
[iquote('para(70,178)')] ).
cnf(337,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,multiply(inverse(D),D))),multiply(C,multiply(inverse(D),D)))))),multiply(inverse(B),multiply(inverse(B),B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[331,70]),1]),
[iquote('para(331,70),flip(1)')] ).
cnf(340,plain,
equal(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),C)),multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(D,multiply(inverse(E),E))),multiply(D,multiply(inverse(E),E)))))),multiply(inverse(inverse(multiply(inverse(multiply(D,multiply(inverse(E),E))),multiply(D,multiply(inverse(E),E))))),multiply(inverse(inverse(multiply(inverse(multiply(D,multiply(inverse(E),E))),multiply(D,multiply(inverse(E),E))))),inverse(multiply(inverse(multiply(D,multiply(inverse(E),E))),multiply(D,multiply(inverse(E),E)))))))))),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[337,1]),337]),
[iquote('para(337,1),demod([337])')] ).
cnf(341,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),multiply(inverse(B),multiply(inverse(B),B))))),multiply(A,inverse(multiply(inverse(multiply(C,multiply(inverse(D),D))),multiply(C,multiply(inverse(D),D)))))),
inference(para,[status(thm),theory(equality)],[337,1]),
[iquote('para(337,1)')] ).
cnf(606,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(inverse(C),C))),multiply(B,multiply(inverse(C),C))))),multiply(A,inverse(multiply(inverse(multiply(D,multiply(inverse(E),E))),multiply(D,multiply(inverse(E),E)))))),
inference(para,[status(thm),theory(equality)],[70,341]),
[iquote('para(70,341)')] ).
cnf(800,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(inverse(B),B)))),inverse(multiply(inverse(multiply(C,multiply(inverse(D),D))),multiply(C,multiply(inverse(D),D))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[606,1]),1]),
[iquote('para(606,1),demod([1])')] ).
cnf(811,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(C,multiply(D,inverse(multiply(inverse(E),multiply(inverse(F),multiply(inverse(F),F)))))))),G)),multiply(inverse(multiply(C,multiply(D,inverse(multiply(inverse(E),multiply(inverse(F),multiply(inverse(F),F))))))),multiply(inverse(E),E)))),multiply(A,inverse(multiply(inverse(G),multiply(inverse(B),multiply(inverse(B),B)))))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,1]),1]),
[iquote('para(23,1),flip(1)')] ).
cnf(819,plain,
equal(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,multiply(inverse(C),C))),multiply(B,multiply(inverse(C),C))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,800]),11]),
[iquote('para(11,800),demod([11])')] ).
cnf(824,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(inverse(C),C))),multiply(B,multiply(inverse(C),C)))),multiply(inverse(D),multiply(inverse(D),D))))),multiply(A,D)),
inference(para,[status(thm),theory(equality)],[819,1]),
[iquote('para(819,1)')] ).
cnf(827,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,B)),multiply(inverse(C),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[819,11]),824]),
[iquote('para(819,11),demod([824])')] ).
cnf(834,plain,
equal(multiply(inverse(A),A),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[827,827]),
[iquote('para(827,827)')] ).
cnf(850,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),multiply(inverse(C),C))))),multiply(A,C)),
inference(para,[status(thm),theory(equality)],[834,1]),
[iquote('para(834,1)')] ).
cnf(865,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(D),D))))),C),
inference(para,[status(thm),theory(equality)],[834,1]),
[iquote('para(834,1)')] ).
cnf(866,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),multiply(inverse(B),multiply(inverse(D),D)))))),C),
inference(para,[status(thm),theory(equality)],[834,11]),
[iquote('para(834,11)')] ).
cnf(867,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),C)))),multiply(inverse(B),multiply(inverse(B),B))),
inference(para,[status(thm),theory(equality)],[834,11]),
[iquote('para(834,11)')] ).
cnf(870,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),multiply(inverse(D),D))))),multiply(A,C)),
inference(para,[status(thm),theory(equality)],[834,850]),
[iquote('para(834,850)')] ).
cnf(872,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),C)),multiply(inverse(D),D)))),C),
inference(para,[status(thm),theory(equality)],[834,865]),
[iquote('para(834,865)')] ).
cnf(873,plain,
equal(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(multiply(inverse(C),multiply(inverse(D),D))))),C),
inference(para,[status(thm),theory(equality)],[834,866]),
[iquote('para(834,866)')] ).
cnf(880,plain,
equal(multiply(A,inverse(multiply(inverse(B),B))),multiply(A,multiply(inverse(C),C))),
inference(para,[status(thm),theory(equality)],[834,870]),
[iquote('para(834,870)')] ).
cnf(928,plain,
equal(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),C)),multiply(inverse(D),D)))),C),
inference(para,[status(thm),theory(equality)],[834,872]),
[iquote('para(834,872)')] ).
cnf(929,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),multiply(inverse(B),B)))),multiply(inverse(C),C))),multiply(inverse(D),D)),A),
inference(para,[status(thm),theory(equality)],[834,873]),
[iquote('para(834,873)')] ).
cnf(944,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))),multiply(inverse(B),multiply(inverse(B),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[880,70]),867]),
[iquote('para(880,70),demod([867])')] ).
cnf(1023,plain,
equal(multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(B),B))),C)),multiply(inverse(multiply(A,multiply(inverse(D),D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))),multiply(inverse(D),D))))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[340]),944,870,944,944,944,870]),
[iquote('back_demod(340),demod([944,870,944,944,944,870])')] ).
cnf(1038,plain,
equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))),multiply(inverse(A),A))),B),multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[231]),944,944,870,944]),
[iquote('back_demod(231),demod([944,944,870,944])')] ).
cnf(1043,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,multiply(inverse(D),D)))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[182]),944,870]),
[iquote('back_demod(182),demod([944,870])')] ).
cnf(1051,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(inverse(D),multiply(inverse(D),D)))))),multiply(inverse(multiply(inverse(multiply(C,E)),B)),multiply(inverse(E),D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[83]),944]),
[iquote('back_demod(83),demod([944])')] ).
cnf(1052,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),D)),multiply(inverse(multiply(E,C)),multiply(E,multiply(A,inverse(multiply(inverse(D),multiply(inverse(D),D))))))),
inference(flip,[status(thm),theory(equality)],[1051]),
[iquote('flip(1051)')] ).
cnf(1053,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),multiply(inverse(C),C))))),multiply(inverse(B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[79]),944]),
[iquote('back_demod(79),demod([944])')] ).
cnf(1058,plain,
equal(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),multiply(inverse(B),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[834,1043]),944]),
[iquote('para(834,1043),demod([944])')] ).
cnf(1059,plain,
equal(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),multiply(inverse(C),C)))),B),
inference(para,[status(thm),theory(equality)],[834,1058]),
[iquote('para(834,1058)')] ).
cnf(1060,plain,
equal(multiply(inverse(multiply(inverse(A),A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[928]),1059]),
[iquote('back_demod(928),demod([1059])')] ).
cnf(1061,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(B),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1059]),1060]),
[iquote('back_demod(1059),demod([1060])')] ).
cnf(1065,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1053]),1061]),
[iquote('back_demod(1053),demod([1061])')] ).
cnf(1271,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),D)),multiply(inverse(C),multiply(A,D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1052]),1061,1065]),
[iquote('back_demod(1052),demod([1061,1065])')] ).
cnf(1438,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(inverse(D),D)))),multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),multiply(inverse(C),C)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[811]),1271]),
[iquote('back_demod(811),demod([1271])')] ).
cnf(1456,plain,
equal(multiply(inverse(inverse(multiply(inverse(A),A))),B),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1038]),1065,1065,1061,1060,1065,1065]),1]),
[iquote('back_demod(1038),demod([1065,1065,1061,1060,1065,1065]),flip(1)')] ).
cnf(1459,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1023]),1061,1065,1065,1065,1065,1456,1456,1438,1065,1065,1061,1065]),
[iquote('back_demod(1023),demod([1061,1065,1065,1065,1065,1456,1456,1438,1065,1065,1061,1065])')] ).
cnf(1561,plain,
equal(multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(A,multiply(C,multiply(inverse(D),D))))))),multiply(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[247]),1271,1061,1065,1065]),
[iquote('back_demod(247),demod([1271,1061,1065,1065])')] ).
cnf(1571,plain,
equal(multiply(A,multiply(inverse(B),B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[929]),1061,1061]),
[iquote('back_demod(929),demod([1061,1061])')] ).
cnf(1631,plain,
equal(multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(A,C))))),multiply(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1561]),1571]),
[iquote('back_demod(1561),demod([1571])')] ).
cnf(1750,plain,
equal(inverse(multiply(inverse(A),inverse(multiply(B,C)))),multiply(B,inverse(multiply(inverse(A),inverse(C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1438]),1571,1571]),
[iquote('back_demod(1438),demod([1571,1571])')] ).
cnf(1757,plain,
equal(inverse(multiply(inverse(A),inverse(B))),multiply(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1631]),1750,1459]),
[iquote('back_demod(1631),demod([1750,1459])')] ).
cnf(1763,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1750]),1757,1757]),
[iquote('back_demod(1750),demod([1757,1757])')] ).
cnf(1764,plain,
$false,
inference(conflict,[status(thm)],[1763,2]),
[iquote('conflict(1763,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP408-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 08:28:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.50 ----- EQP 0.9e, May 2009 -----
% 0.75/1.50 The job began on n004.cluster.edu, Tue Jun 14 08:28:24 2022
% 0.75/1.50 The command was "./eqp09e".
% 0.75/1.50
% 0.75/1.50 set(prolog_style_variables).
% 0.75/1.50 set(lrpo).
% 0.75/1.50 set(basic_paramod).
% 0.75/1.50 set(functional_subsume).
% 0.75/1.50 set(ordered_paramod).
% 0.75/1.50 set(prime_paramod).
% 0.75/1.50 set(para_pairs).
% 0.75/1.50 assign(pick_given_ratio,4).
% 0.75/1.50 clear(print_kept).
% 0.75/1.50 clear(print_new_demod).
% 0.75/1.50 clear(print_back_demod).
% 0.75/1.50 clear(print_given).
% 0.75/1.50 assign(max_mem,64000).
% 0.75/1.50 end_of_commands.
% 0.75/1.50
% 0.75/1.50 Usable:
% 0.75/1.50 end_of_list.
% 0.75/1.50
% 0.75/1.50 Sos:
% 0.75/1.50 0 (wt=-1) [] multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C.
% 0.75/1.50 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.75/1.50 end_of_list.
% 0.75/1.50
% 0.75/1.50 Demodulators:
% 0.75/1.50 end_of_list.
% 0.75/1.50
% 0.75/1.50 Passive:
% 0.75/1.50 end_of_list.
% 0.75/1.50
% 0.75/1.50 Starting to process input.
% 0.75/1.50
% 0.75/1.50 ** KEPT: 1 (wt=20) [] multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C.
% 0.75/1.50 1 is a new demodulator.
% 0.75/1.50
% 0.75/1.50 ** KEPT: 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.75/1.50 ---------------- PROOF FOUND ----------------
% 0.75/1.50 % SZS status Unsatisfiable
% 0.75/1.50
% 0.75/1.50
% 0.75/1.50 After processing input:
% 0.75/1.50
% 0.75/1.50 Usable:
% 0.75/1.50 end_of_list.
% 0.75/1.50
% 0.75/1.50 Sos:
% 0.75/1.50 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.75/1.50 1 (wt=20) [] multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C.
% 0.75/1.50 end_of_list.
% 0.75/1.50
% 0.75/1.50 Demodulators:
% 0.75/1.50 1 (wt=20) [] multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C.
% 0.75/1.50 end_of_list.
% 0.75/1.50
% 0.75/1.50 Passive:
% 0.75/1.50 end_of_list.
% 0.75/1.50
% 0.75/1.50 UNIT CONFLICT from 1763 and 2 at 0.34 seconds.
% 0.75/1.50
% 0.75/1.50 ---------------- PROOF ----------------
% 0.75/1.50 % SZS output start Refutation
% See solution above
% 0.75/1.51 ------------ end of proof -------------
% 0.75/1.51
% 0.75/1.51
% 0.75/1.51 ------------- memory usage ------------
% 0.75/1.51 Memory dynamically allocated (tp_alloc): 11230.
% 0.75/1.51 type (bytes each) gets frees in use avail bytes
% 0.75/1.51 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.75/1.51 term ( 16) 354565 227153 127412 88 2483.3 K
% 0.75/1.51 gen_ptr ( 8) 1094943 173756 921187 67 7197.3 K
% 0.75/1.51 context ( 808) 210723 210721 2 5 5.5 K
% 0.75/1.51 trail ( 12) 75503 75503 0 11 0.1 K
% 0.75/1.51 bt_node ( 68) 24410 24406 4 186 12.6 K
% 0.75/1.51 ac_position (285432) 0 0 0 0 0.0 K
% 0.75/1.51 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.75/1.51 ac_match_free_vars_pos (4020)
% 0.75/1.51 0 0 0 0 0.0 K
% 0.75/1.51 discrim ( 12) 135801 114868 20933 57398 917.9 K
% 0.75/1.51 flat ( 40) 1313568 1313568 0 385 15.0 K
% 0.75/1.51 discrim_pos ( 12) 6161 6161 0 1 0.0 K
% 0.75/1.51 fpa_head ( 12) 5401 0 5401 0 63.3 K
% 0.75/1.51 fpa_tree ( 28) 12603 12603 0 31 0.8 K
% 0.75/1.51 fpa_pos ( 36) 2647 2647 0 1 0.0 K
% 0.75/1.51 literal ( 12) 6376 4613 1763 1 20.7 K
% 0.75/1.51 clause ( 24) 6376 4613 1763 1 41.3 K
% 0.75/1.51 list ( 12) 943 878 65 2 0.8 K
% 0.75/1.51 list_pos ( 20) 10014 5763 4251 78 84.6 K
% 0.75/1.51 pair_index ( 40) 2 0 2 0 0.1 K
% 0.75/1.51
% 0.75/1.51 -------------- statistics -------------
% 0.75/1.51 Clauses input 2
% 0.75/1.51 Usable input 0
% 0.75/1.51 Sos input 2
% 0.75/1.51 Demodulators input 0
% 0.75/1.51 Passive input 0
% 0.75/1.51
% 0.75/1.51 Processed BS (before search) 2
% 0.75/1.51 Forward subsumed BS 0
% 0.75/1.51 Kept BS 2
% 0.75/1.51 New demodulators BS 1
% 0.75/1.51 Back demodulated BS 0
% 0.75/1.51
% 0.75/1.51 Clauses or pairs given 962
% 0.75/1.51 Clauses generated 3356
% 0.75/1.51 Forward subsumed 1595
% 0.75/1.51 Deleted by weight 0
% 0.75/1.51 Deleted by variable count 0
% 0.75/1.51 Kept 1761
% 0.75/1.51 New demodulators 883
% 0.75/1.51 Back demodulated 1262
% 0.75/1.51 Ordered paramod prunes 0
% 0.75/1.51 Basic paramod prunes 14254
% 0.75/1.51 Prime paramod prunes 46
% 0.75/1.51 Semantic prunes 0
% 0.75/1.51
% 0.75/1.51 Rewrite attmepts 173776
% 0.75/1.51 Rewrites 5080
% 0.75/1.51
% 0.75/1.51 FPA overloads 0
% 0.75/1.51 FPA underloads 0
% 0.75/1.51
% 0.75/1.51 Usable size 0
% 0.75/1.51 Sos size 500
% 0.75/1.51 Demodulators size 236
% 0.75/1.51 Passive size 0
% 0.75/1.51 Disabled size 1262
% 0.75/1.51
% 0.75/1.51 Proofs found 1
% 0.75/1.51
% 0.75/1.51 ----------- times (seconds) ----------- Tue Jun 14 08:28:25 2022
% 0.75/1.51
% 0.75/1.51 user CPU time 0.34 (0 hr, 0 min, 0 sec)
% 0.75/1.51 system CPU time 0.06 (0 hr, 0 min, 0 sec)
% 0.75/1.51 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 0.75/1.51 input time 0.00
% 0.75/1.51 paramodulation time 0.02
% 0.75/1.51 demodulation time 0.06
% 0.75/1.51 orient time 0.01
% 0.75/1.51 weigh time 0.00
% 0.75/1.51 forward subsume time 0.01
% 0.75/1.51 back demod find time 0.06
% 0.75/1.51 conflict time 0.00
% 0.75/1.51 LRPO time 0.01
% 0.75/1.51 store clause time 0.12
% 0.75/1.51 disable clause time 0.02
% 0.75/1.51 prime paramod time 0.00
% 0.75/1.51 semantics time 0.00
% 0.75/1.51
% 0.75/1.51 EQP interrupted
%------------------------------------------------------------------------------