TSTP Solution File: GRP417-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n010.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 08:46:44 EDT 2022
% Result : Unsatisfiable 1.45s 1.83s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 2
% Syntax : Number of clauses : 85 ( 85 unt; 0 nHn; 2 RR)
% Number of literals : 85 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 18 ( 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 : 294 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))),C),
file('GRP417-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP417-1.p',unknown),
[] ).
cnf(4,plain,
equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,inverse(C)))),inverse(multiply(inverse(D),D)))))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(5,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A))))),inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(E,D)),multiply(E,C))),inverse(multiply(inverse(D),D))))))),
inference(flip,[status(thm),theory(equality)],[4]),
[iquote('flip(4)')] ).
cnf(19,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(A),A))))),C),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(22,plain,
equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))),multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))),
inference(para,[status(thm),theory(equality)],[19,1]),
[iquote('para(19,1)')] ).
cnf(23,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(B),B))),inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(multiply(inverse(D),D))))))),
inference(flip,[status(thm),theory(equality)],[22]),
[iquote('flip(22)')] ).
cnf(35,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(C))))))),inverse(multiply(inverse(B),B))),C),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,22]),1]),
[iquote('para(1,22),flip(1)')] ).
cnf(50,plain,
equal(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A))))))),C),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(65,plain,
equal(inverse(multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(inverse(B),B))))))))),inverse(C)),
inference(para,[status(thm),theory(equality)],[23,1]),
[iquote('para(23,1)')] ).
cnf(67,plain,
equal(inverse(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))),inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(A,B)))),multiply(D,inverse(C)))),inverse(multiply(inverse(inverse(multiply(A,B))),inverse(multiply(A,B)))))))),
inference(para,[status(thm),theory(equality)],[1,65]),
[iquote('para(1,65)')] ).
cnf(71,plain,
equal(multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(inverse(B),B)))))))),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[65,1]),1]),1]),
[iquote('para(65,1),demod([1]),flip(1)')] ).
cnf(72,plain,
equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A)))))),inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(multiply(inverse(D),D))))))),
inference(para,[status(thm),theory(equality)],[71,1]),
[iquote('para(71,1)')] ).
cnf(111,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,C)))))),inverse(multiply(inverse(B),B)))),C),
inference(para,[status(thm),theory(equality)],[22,50]),
[iquote('para(22,50)')] ).
cnf(140,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),inverse(multiply(inverse(A),A))))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(B,D)),C)),inverse(multiply(inverse(D),D)))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[72,1]),1]),
[iquote('para(72,1),demod([1])')] ).
cnf(166,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,D)))))),A)),E)),inverse(multiply(inverse(A),A))))),multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(multiply(D,E)),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[111,140]),1]),
[iquote('para(111,140),flip(1)')] ).
cnf(511,plain,
equal(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(inverse(multiply(inverse(multiply(D,C)),multiply(D,inverse(E)))))))),inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(B,C))))))),inverse(multiply(B,inverse(E)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,67]),1]),
[iquote('para(1,67),flip(1)')] ).
cnf(513,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(D)))),inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(B,C)))))),multiply(B,inverse(inverse(multiply(C,inverse(multiply(D,inverse(multiply(inverse(C),C))))))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[67,1]),19]),
[iquote('para(67,1),demod([19])')] ).
cnf(595,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(multiply(inverse(B),B)))))))),multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(A)))),inverse(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(C,inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))))))))),
inference(para,[status(thm),theory(equality)],[1,513]),
[iquote('para(1,513)')] ).
cnf(596,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))))))),inverse(multiply(inverse(multiply(C,multiply(B,inverse(D)))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(B),B))))))))),
inference(flip,[status(thm),theory(equality)],[595]),
[iquote('flip(595)')] ).
cnf(603,plain,
equal(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))))),C),
inference(para,[status(thm),theory(equality)],[513,1]),
[iquote('para(513,1)')] ).
cnf(605,plain,
equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),inverse(multiply(inverse(A),A)))))),multiply(inverse(multiply(D,E)),multiply(D,inverse(inverse(multiply(E,inverse(multiply(C,inverse(multiply(inverse(E),E)))))))))),
inference(para,[status(thm),theory(equality)],[603,1]),
[iquote('para(603,1)')] ).
cnf(615,plain,
equal(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),inverse(multiply(inverse(multiply(C,D)),inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))),multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))))))),multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),E)),D)),inverse(multiply(inverse(E),E)))))),
inference(para,[status(thm),theory(equality)],[603,140]),
[iquote('para(603,140)')] ).
cnf(616,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),D)),inverse(multiply(inverse(A),A))))),multiply(multiply(B,inverse(inverse(multiply(C,inverse(multiply(E,inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(multiply(E,D)),inverse(multiply(inverse(multiply(B,inverse(inverse(multiply(C,inverse(multiply(E,inverse(multiply(inverse(C),C))))))))),multiply(B,inverse(inverse(multiply(C,inverse(multiply(E,inverse(multiply(inverse(C),C)))))))))))))),
inference(flip,[status(thm),theory(equality)],[615]),
[iquote('flip(615)')] ).
cnf(653,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),B))))))))),C),
inference(para,[status(thm),theory(equality)],[605,1]),
[iquote('para(605,1)')] ).
cnf(658,plain,
equal(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,C)),A)),D)),inverse(multiply(inverse(A),A))))))),multiply(B,inverse(inverse(multiply(C,inverse(multiply(inverse(D),inverse(multiply(inverse(C),C))))))))),
inference(para,[status(thm),theory(equality)],[653,50]),
[iquote('para(653,50)')] ).
cnf(700,plain,
equal(inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),inverse(multiply(inverse(multiply(C,D)),inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))),multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))))))))),multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(D),inverse(multiply(inverse(B),B))))))))),
inference(para,[status(thm),theory(equality)],[603,658]),
[iquote('para(603,658)')] ).
cnf(907,plain,
equal(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(inverse(multiply(inverse(multiply(D,C)),multiply(D,inverse(E)))))))),inverse(multiply(inverse(inverse(multiply(B,C))),inverse(multiply(B,C)))))),multiply(B,inverse(E))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[511,1]),1]),1]),
[iquote('para(511,1),demod([1]),flip(1)')] ).
cnf(929,plain,
equal(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(C))))),
inference(para,[status(thm),theory(equality)],[907,1]),
[iquote('para(907,1)')] ).
cnf(931,plain,
equal(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(multiply(inverse(multiply(D,B)),multiply(D,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,929]),1]),
[iquote('para(1,929),demod([1])')] ).
cnf(942,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,C)),multiply(inverse(multiply(D,B)),multiply(D,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[931,1]),1]),
[iquote('para(931,1),demod([1])')] ).
cnf(957,plain,
equal(inverse(inverse(multiply(multiply(A,B),inverse(multiply(inverse(multiply(inverse(multiply(C,multiply(A,B))),multiply(C,D))),inverse(multiply(inverse(multiply(E,B)),multiply(E,B)))))))),D),
inference(para,[status(thm),theory(equality)],[942,50]),
[iquote('para(942,50)')] ).
cnf(961,plain,
equal(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A)))))),D)),multiply(inverse(multiply(E,inverse(multiply(inverse(C),C)))),multiply(E,D))),
inference(para,[status(thm),theory(equality)],[111,942]),
[iquote('para(111,942)')] ).
cnf(962,plain,
equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,C)),multiply(D,multiply(inverse(multiply(inverse(multiply(E,B)),multiply(E,inverse(inverse(multiply(B,D)))))),C))),
inference(flip,[status(thm),theory(equality)],[961]),
[iquote('flip(961)')] ).
cnf(1311,plain,
equal(inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),inverse(multiply(inverse(multiply(C,multiply(inverse(multiply(A,B)),D))),inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))),multiply(E,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B))))))))))))))),D),
inference(para,[status(thm),theory(equality)],[603,957]),
[iquote('para(603,957)')] ).
cnf(1315,plain,
equal(multiply(inverse(A),A),multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C))))),
inference(para,[status(thm),theory(equality)],[35,961]),
[iquote('para(35,961)')] ).
cnf(1316,plain,
equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B)))),multiply(inverse(C),C)),
inference(flip,[status(thm),theory(equality)],[1315]),
[iquote('flip(1315)')] ).
cnf(1321,plain,
equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),D)),multiply(inverse(multiply(E,multiply(B,inverse(multiply(inverse(C),C))))),multiply(E,D))),
inference(para,[status(thm),theory(equality)],[1316,942]),
[iquote('para(1316,942)')] ).
cnf(1334,plain,
equal(inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),A)),multiply(inverse(multiply(C,inverse(multiply(inverse(D),D)))),multiply(C,inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(A),A))))))),B),
inference(para,[status(thm),theory(equality)],[1315,50]),
[iquote('para(1315,50)')] ).
cnf(1441,plain,
equal(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A)))))),inverse(inverse(multiply(inverse(multiply(inverse(C),C)),inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))))))),D),
inference(para,[status(thm),theory(equality)],[962,603]),
[iquote('para(962,603)')] ).
cnf(1489,plain,
equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),multiply(inverse(multiply(C,multiply(D,inverse(multiply(inverse(E),E))))),multiply(C,multiply(D,inverse(multiply(inverse(E),E)))))),
inference(para,[status(thm),theory(equality)],[1316,1321]),
[iquote('para(1316,1321)')] ).
cnf(1490,plain,
equal(multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),C))))),multiply(A,multiply(B,inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(D),D)),multiply(inverse(E),E))),
inference(flip,[status(thm),theory(equality)],[1489]),
[iquote('flip(1489)')] ).
cnf(1547,plain,
equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),multiply(inverse(multiply(C,inverse(multiply(inverse(D),D)))),multiply(C,inverse(multiply(inverse(D),D))))),
inference(para,[status(thm),theory(equality)],[1490,1315]),
[iquote('para(1490,1315)')] ).
cnf(1561,plain,
equal(multiply(inverse(A),A),multiply(inverse(B),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1547,50]),1334]),
[iquote('para(1547,50),demod([1334])')] ).
cnf(1585,plain,
equal(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(A)),inverse(A))))))),A),
inference(para,[status(thm),theory(equality)],[1561,1]),
[iquote('para(1561,1)')] ).
cnf(1586,plain,
equal(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(D),D)))))),C),
inference(para,[status(thm),theory(equality)],[1561,1]),
[iquote('para(1561,1)')] ).
cnf(1587,plain,
equal(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))))),A),
inference(para,[status(thm),theory(equality)],[1561,1585]),
[iquote('para(1561,1585)')] ).
cnf(1713,plain,
equal(inverse(multiply(inverse(A),multiply(inverse(B),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1587,1587]),1587]),
[iquote('para(1587,1587),demod([1587])')] ).
cnf(1747,plain,
equal(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[1561,1713]),
[iquote('para(1561,1713)')] ).
cnf(1748,plain,
equal(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),
inference(flip,[status(thm),theory(equality)],[1747]),
[iquote('flip(1747)')] ).
cnf(1753,plain,
equal(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),A),
inference(para,[status(thm),theory(equality)],[1748,1713]),
[iquote('para(1748,1713)')] ).
cnf(1802,plain,
equal(inverse(multiply(A,multiply(inverse(multiply(B,A)),multiply(B,inverse(C))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1586]),1753]),
[iquote('back_demod(1586),demod([1753])')] ).
cnf(1861,plain,
equal(inverse(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(multiply(C,A)))))),inverse(inverse(multiply(inverse(multiply(inverse(C),C)),inverse(multiply(D,inverse(multiply(inverse(C),C)))))))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1441]),1753]),
[iquote('back_demod(1441),demod([1753])')] ).
cnf(1914,plain,
equal(inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),multiply(C,multiply(inverse(multiply(A,B)),D))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1311]),1753]),
[iquote('back_demod(1311),demod([1753])')] ).
cnf(2346,plain,
equal(inverse(inverse(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),multiply(C,D)))),multiply(A,inverse(inverse(multiply(B,D))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[700]),1753,1753]),
[iquote('back_demod(700),demod([1753,1753])')] ).
cnf(2347,plain,
equal(multiply(A,inverse(inverse(multiply(B,multiply(inverse(multiply(A,B)),C))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1914]),2346]),
[iquote('back_demod(1914),demod([2346])')] ).
cnf(2406,plain,
equal(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,C))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[653]),1753]),
[iquote('back_demod(653),demod([1753])')] ).
cnf(2465,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(C,inverse(multiply(inverse(B),B)))))))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1861]),2406]),
[iquote('back_demod(1861),demod([2406])')] ).
cnf(2534,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(D,inverse(multiply(inverse(B),B)))))))),multiply(C,multiply(B,inverse(D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[596]),1753,1753,1753,1753]),
[iquote('back_demod(596),demod([1753,1753,1753,1753])')] ).
cnf(2843,plain,
equal(multiply(A,multiply(inverse(multiply(inverse(B),A)),C)),multiply(inverse(multiply(inverse(D),D)),multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[166]),2406,1753,1753,1753]),
[iquote('back_demod(166),demod([2406,1753,1753,1753])')] ).
cnf(2844,plain,
equal(multiply(inverse(multiply(inverse(A),A)),multiply(B,C)),multiply(D,multiply(inverse(multiply(inverse(B),D)),C))),
inference(flip,[status(thm),theory(equality)],[2843]),
[iquote('flip(2843)')] ).
cnf(2852,plain,
equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[35]),2406]),
[iquote('back_demod(35),demod([2406])')] ).
cnf(2883,plain,
equal(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),A)),D)),multiply(multiply(B,inverse(inverse(multiply(C,inverse(multiply(E,inverse(multiply(inverse(C),C)))))))),multiply(E,D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[616]),1753,1753]),
[iquote('back_demod(616),demod([1753,1753])')] ).
cnf(2884,plain,
equal(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),multiply(C,D)),multiply(E,multiply(inverse(multiply(inverse(multiply(A,B)),E)),D))),
inference(flip,[status(thm),theory(equality)],[2883]),
[iquote('flip(2883)')] ).
cnf(3016,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(B),B))),inverse(multiply(D,multiply(inverse(multiply(B,D)),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[23]),1753]),
[iquote('back_demod(23),demod([1753])')] ).
cnf(3017,plain,
equal(inverse(multiply(A,multiply(inverse(multiply(B,A)),C))),multiply(inverse(multiply(inverse(multiply(D,B)),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(B),B)))),
inference(flip,[status(thm),theory(equality)],[3016]),
[iquote('flip(3016)')] ).
cnf(3138,plain,
equal(inverse(multiply(A,multiply(inverse(multiply(inverse(inverse(B)),A)),multiply(inverse(C),C)))),B),
inference(para,[status(thm),theory(equality)],[1561,1802]),
[iquote('para(1561,1802)')] ).
cnf(3229,plain,
equal(inverse(multiply(A,multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(A),inverse(C))))),C),
inference(para,[status(thm),theory(equality)],[1748,1802]),
[iquote('para(1748,1802)')] ).
cnf(3234,plain,
equal(multiply(inverse(A),inverse(inverse(multiply(multiply(inverse(B),B),multiply(A,C))))),C),
inference(para,[status(thm),theory(equality)],[1713,2347]),
[iquote('para(1713,2347)')] ).
cnf(3236,plain,
equal(multiply(inverse(A),inverse(inverse(multiply(A,multiply(inverse(inverse(multiply(inverse(B),B))),C))))),C),
inference(para,[status(thm),theory(equality)],[1748,2347]),
[iquote('para(1748,2347)')] ).
cnf(3237,plain,
equal(multiply(inverse(inverse(inverse(multiply(A,B)))),A),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2406,1713]),1]),
[iquote('para(2406,1713),flip(1)')] ).
cnf(3242,plain,
equal(inverse(inverse(multiply(multiply(inverse(A),A),B))),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3237,1713]),1]),
[iquote('para(3237,1713),flip(1)')] ).
cnf(3243,plain,
equal(multiply(inverse(A),inverse(inverse(multiply(A,B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3234]),3242]),
[iquote('back_demod(3234),demod([3242])')] ).
cnf(3244,plain,
equal(multiply(inverse(inverse(multiply(inverse(A),A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3236]),3243]),
[iquote('back_demod(3236),demod([3243])')] ).
cnf(3245,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3229]),3244]),
[iquote('back_demod(3229),demod([3244])')] ).
cnf(3246,plain,
equal(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(B,inverse(multiply(inverse(A),A)))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2465]),3245]),
[iquote('back_demod(2465),demod([3245])')] ).
cnf(3247,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))),inverse(D)),multiply(C,multiply(B,inverse(D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2534]),3246]),
[iquote('back_demod(2534),demod([3246])')] ).
cnf(3285,plain,
equal(inverse(multiply(A,multiply(inverse(multiply(B,A)),C))),multiply(inverse(C),multiply(B,inverse(multiply(inverse(B),B))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3017]),3247]),
[iquote('back_demod(3017),demod([3247])')] ).
cnf(3296,plain,
equal(multiply(inverse(multiply(inverse(A),A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3138]),3285,2852]),
[iquote('back_demod(3138),demod([3285,2852])')] ).
cnf(3310,plain,
equal(multiply(A,multiply(inverse(multiply(inverse(B),A)),C)),multiply(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2844]),3296]),1]),
[iquote('back_demod(2844),demod([3296]),flip(1)')] ).
cnf(3311,plain,
equal(multiply(multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),B)))))))),multiply(C,D)),multiply(multiply(A,B),D)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2884]),3310]),
[iquote('back_demod(2884),demod([3310])')] ).
cnf(3322,plain,
equal(inverse(inverse(multiply(multiply(A,B),C))),multiply(A,inverse(inverse(multiply(B,C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2346]),3311]),
[iquote('back_demod(2346),demod([3311])')] ).
cnf(3324,plain,
equal(inverse(inverse(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3242]),3322,3243]),1]),
[iquote('back_demod(3242),demod([3322,3243]),flip(1)')] ).
cnf(3326,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3322]),3324,3324]),
[iquote('back_demod(3322),demod([3324,3324])')] ).
cnf(3327,plain,
$false,
inference(conflict,[status(thm)],[3326,2]),
[iquote('conflict(3326,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP417-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 06:32:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.45/1.83 ----- EQP 0.9e, May 2009 -----
% 1.45/1.83 The job began on n010.cluster.edu, Mon Jun 13 06:32:55 2022
% 1.45/1.83 The command was "./eqp09e".
% 1.45/1.83
% 1.45/1.83 set(prolog_style_variables).
% 1.45/1.83 set(lrpo).
% 1.45/1.83 set(basic_paramod).
% 1.45/1.83 set(functional_subsume).
% 1.45/1.83 set(ordered_paramod).
% 1.45/1.83 set(prime_paramod).
% 1.45/1.83 set(para_pairs).
% 1.45/1.83 assign(pick_given_ratio,4).
% 1.45/1.83 clear(print_kept).
% 1.45/1.83 clear(print_new_demod).
% 1.45/1.83 clear(print_back_demod).
% 1.45/1.83 clear(print_given).
% 1.45/1.83 assign(max_mem,64000).
% 1.45/1.83 end_of_commands.
% 1.45/1.83
% 1.45/1.83 Usable:
% 1.45/1.83 end_of_list.
% 1.45/1.83
% 1.45/1.83 Sos:
% 1.45/1.83 0 (wt=-1) [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C.
% 1.45/1.83 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.45/1.83 end_of_list.
% 1.45/1.83
% 1.45/1.83 Demodulators:
% 1.45/1.83 end_of_list.
% 1.45/1.83
% 1.45/1.83 Passive:
% 1.45/1.83 end_of_list.
% 1.45/1.83
% 1.45/1.83 Starting to process input.
% 1.45/1.83
% 1.45/1.83 ** KEPT: 1 (wt=22) [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C.
% 1.45/1.83 1 is a new demodulator.
% 1.45/1.83
% 1.45/1.83 ** KEPT: 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.45/1.83 ---------------- PROOF FOUND ----------------
% 1.45/1.83 % SZS status Unsatisfiable
% 1.45/1.83
% 1.45/1.83
% 1.45/1.83 After processing input:
% 1.45/1.83
% 1.45/1.83 Usable:
% 1.45/1.83 end_of_list.
% 1.45/1.83
% 1.45/1.83 Sos:
% 1.45/1.83 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.45/1.83 1 (wt=22) [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C.
% 1.45/1.83 end_of_list.
% 1.45/1.83
% 1.45/1.83 Demodulators:
% 1.45/1.83 1 (wt=22) [] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C.
% 1.45/1.83 end_of_list.
% 1.45/1.83
% 1.45/1.83 Passive:
% 1.45/1.83 end_of_list.
% 1.45/1.83
% 1.45/1.83 UNIT CONFLICT from 3326 and 2 at 0.68 seconds.
% 1.45/1.83
% 1.45/1.83 ---------------- PROOF ----------------
% 1.45/1.83 % SZS output start Refutation
% See solution above
% 1.45/1.84 ------------ end of proof -------------
% 1.45/1.84
% 1.45/1.84
% 1.45/1.84 ------------- memory usage ------------
% 1.45/1.84 Memory dynamically allocated (tp_alloc): 26855.
% 1.45/1.84 type (bytes each) gets frees in use avail bytes
% 1.45/1.84 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.45/1.84 term ( 16) 890111 577919 312192 82 6086.1 K
% 1.45/1.84 gen_ptr ( 8) 2613513 280848 2332665 84 18224.6 K
% 1.45/1.84 context ( 808) 560926 560924 2 3 3.9 K
% 1.45/1.84 trail ( 12) 51012 51012 0 12 0.1 K
% 1.45/1.84 bt_node ( 68) 55101 55097 4 204 13.8 K
% 1.45/1.84 ac_position (285432) 0 0 0 0 0.0 K
% 1.45/1.84 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.45/1.84 ac_match_free_vars_pos (4020)
% 1.45/1.84 0 0 0 0 0.0 K
% 1.45/1.84 discrim ( 12) 225567 167834 57733 84815 1670.5 K
% 1.45/1.84 flat ( 40) 4232491 4232491 0 716 28.0 K
% 1.45/1.84 discrim_pos ( 12) 14074 14074 0 1 0.0 K
% 1.45/1.84 fpa_head ( 12) 8664 0 8664 0 101.5 K
% 1.45/1.84 fpa_tree ( 28) 7251 7251 0 31 0.8 K
% 1.45/1.84 fpa_pos ( 36) 4048 4048 0 1 0.0 K
% 1.45/1.84 literal ( 12) 13972 10646 3326 1 39.0 K
% 1.45/1.84 clause ( 24) 13972 10646 3326 1 78.0 K
% 1.45/1.84 list ( 12) 781 713 68 1 0.8 K
% 1.45/1.84 list_pos ( 20) 16194 7918 8276 4 161.7 K
% 1.45/1.84 pair_index ( 40) 2 0 2 0 0.1 K
% 1.45/1.84
% 1.45/1.84 -------------- statistics -------------
% 1.45/1.84 Clauses input 2
% 1.45/1.84 Usable input 0
% 1.45/1.84 Sos input 2
% 1.45/1.84 Demodulators input 0
% 1.45/1.84 Passive input 0
% 1.45/1.84
% 1.45/1.84 Processed BS (before search) 2
% 1.45/1.84 Forward subsumed BS 0
% 1.45/1.84 Kept BS 2
% 1.45/1.84 New demodulators BS 1
% 1.45/1.84 Back demodulated BS 0
% 1.45/1.84
% 1.45/1.84 Clauses or pairs given 2771
% 1.45/1.84 Clauses generated 7043
% 1.45/1.84 Forward subsumed 3719
% 1.45/1.84 Deleted by weight 0
% 1.45/1.84 Deleted by variable count 0
% 1.45/1.84 Kept 3324
% 1.45/1.84 New demodulators 721
% 1.45/1.84 Back demodulated 1764
% 1.45/1.84 Ordered paramod prunes 0
% 1.45/1.84 Basic paramod prunes 43227
% 1.45/1.84 Prime paramod prunes 13
% 1.45/1.84 Semantic prunes 0
% 1.45/1.84
% 1.45/1.84 Rewrite attmepts 471407
% 1.45/1.84 Rewrites 11082
% 1.45/1.84
% 1.45/1.84 FPA overloads 0
% 1.45/1.84 FPA underloads 0
% 1.45/1.84
% 1.45/1.84 Usable size 0
% 1.45/1.84 Sos size 1561
% 1.45/1.84 Demodulators size 264
% 1.45/1.84 Passive size 0
% 1.45/1.84 Disabled size 1764
% 1.45/1.84
% 1.45/1.84 Proofs found 1
% 1.45/1.84
% 1.45/1.84 ----------- times (seconds) ----------- Mon Jun 13 06:32:56 2022
% 1.45/1.84
% 1.45/1.84 user CPU time 0.68 (0 hr, 0 min, 0 sec)
% 1.45/1.84 system CPU time 0.10 (0 hr, 0 min, 0 sec)
% 1.45/1.84 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.45/1.84 input time 0.00
% 1.45/1.84 paramodulation time 0.04
% 1.45/1.84 demodulation time 0.13
% 1.45/1.84 orient time 0.04
% 1.45/1.84 weigh time 0.01
% 1.45/1.84 forward subsume time 0.03
% 1.45/1.84 back demod find time 0.06
% 1.45/1.84 conflict time 0.00
% 1.45/1.84 LRPO time 0.03
% 1.45/1.84 store clause time 0.26
% 1.45/1.84 disable clause time 0.04
% 1.45/1.84 prime paramod time 0.01
% 1.45/1.84 semantics time 0.00
% 1.45/1.84
% 1.45/1.84 EQP interrupted
%------------------------------------------------------------------------------