TSTP Solution File: GRP014-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n024.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 08:44:13 EDT 2022
% Result : Unsatisfiable 0.77s 1.49s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 1
% Syntax : Number of clauses : 106 ( 106 unt; 0 nHn; 2 RR)
% Number of literals : 106 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 21 ( 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 : 388 ( 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('GRP014-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(a,b),c),multiply(a,multiply(b,c))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
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(13,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(D,C))))),inverse(multiply(multiply(inverse(multiply(inverse(E),multiply(inverse(inverse(A)),inverse(multiply(multiply(inverse(multiply(inverse(F),multiply(inverse(inverse(D)),B))),G),inverse(multiply(F,G))))))),H),inverse(multiply(E,H))))),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(28,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(29,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)],[28]),
[iquote('flip(28)')] ).
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(56,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(57,plain,
equal(multiply(inverse(inverse(A)),multiply(inverse(A),B)),multiply(inverse(C),multiply(C,B))),
inference(flip,[status(thm),theory(equality)],[56]),
[iquote('flip(56)')] ).
cnf(60,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)],[57,56]),
[iquote('para(57,56)')] ).
cnf(82,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)],[57,1]),
[iquote('para(57,1)')] ).
cnf(134,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)],[82,34]),
[iquote('para(82,34)')] ).
cnf(156,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(157,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)],[156]),
[iquote('flip(156)')] ).
cnf(241,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)],[60,1]),
[iquote('para(60,1)')] ).
cnf(243,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)],[60,34]),241]),
[iquote('para(60,34),demod([241])')] ).
cnf(262,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)],[243,34]),
[iquote('para(243,34)')] ).
cnf(266,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)],[243,82]),
[iquote('para(243,82)')] ).
cnf(407,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),inverse(multiply(multiply(inverse(multiply(inverse(C),multiply(inverse(inverse(inverse(A))),inverse(multiply(multiply(inverse(multiply(inverse(D),multiply(inverse(inverse(E)),F))),G),inverse(multiply(D,G))))))),H),inverse(multiply(C,H)))))),I),inverse(multiply(B,I))))),inverse(multiply(multiply(inverse(F),J),inverse(multiply(E,J))))),
inference(para,[status(thm),theory(equality)],[13,1]),
[iquote('para(13,1)')] ).
cnf(408,plain,
equal(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))),multiply(D,inverse(multiply(multiply(inverse(multiply(inverse(E),inverse(multiply(multiply(inverse(multiply(inverse(F),multiply(inverse(inverse(inverse(D))),inverse(multiply(multiply(inverse(multiply(inverse(G),multiply(inverse(inverse(C)),A))),H),inverse(multiply(G,H))))))),I),inverse(multiply(F,I)))))),J),inverse(multiply(E,J)))))),
inference(flip,[status(thm),theory(equality)],[407]),
[iquote('flip(407)')] ).
cnf(601,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)],[82,262]),
[iquote('para(82,262)')] ).
cnf(633,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)],[34,266]),34]),
[iquote('para(34,266),demod([34])')] ).
cnf(634,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)],[633,243]),
[iquote('para(633,243)')] ).
cnf(662,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(B,C))),inverse(multiply(D,inverse(D)))),inverse(E))))),multiply(multiply(inverse(F),multiply(F,E)),C)),
inference(para,[status(thm),theory(equality)],[633,262]),
[iquote('para(633,262)')] ).
cnf(663,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),C),multiply(inverse(D),multiply(D,inverse(multiply(multiply(inverse(multiply(inverse(E),multiply(E,C))),inverse(multiply(F,inverse(F)))),inverse(B)))))),
inference(flip,[status(thm),theory(equality)],[662]),
[iquote('flip(662)')] ).
cnf(664,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)],[633,262]),
[iquote('para(633,262)')] ).
cnf(691,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)],[664,34]),
[iquote('para(664,34)')] ).
cnf(695,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)],[633,691]),633]),
[iquote('para(633,691),demod([633])')] ).
cnf(755,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)],[634,1]),
[iquote('para(634,1)')] ).
cnf(759,plain,
equal(multiply(A,inverse(inverse(multiply(B,inverse(B))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[633,755]),
[iquote('para(633,755)')] ).
cnf(760,plain,
equal(inverse(inverse(A)),multiply(A,inverse(inverse(multiply(B,inverse(B)))))),
inference(flip,[status(thm),theory(equality)],[759]),
[iquote('flip(759)')] ).
cnf(763,plain,
equal(multiply(A,multiply(multiply(B,inverse(B)),inverse(inverse(multiply(C,inverse(C)))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[760,759]),
[iquote('para(760,759)')] ).
cnf(775,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)],[759,243]),
[iquote('para(759,243)')] ).
cnf(776,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)],[775]),
[iquote('flip(775)')] ).
cnf(791,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)],[760,763]),
[iquote('para(760,763)')] ).
cnf(792,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)],[791]),
[iquote('flip(791)')] ).
cnf(834,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),inverse(inverse(multiply(D,inverse(D))))),inverse(inverse(inverse(B))))))),C),
inference(para,[status(thm),theory(equality)],[759,34]),
[iquote('para(759,34)')] ).
cnf(909,plain,
equal(multiply(inverse(A),inverse(inverse(A))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(para,[status(thm),theory(equality)],[776,763]),
[iquote('para(776,763)')] ).
cnf(910,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(inverse(B),inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[909]),
[iquote('flip(909)')] ).
cnf(915,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(para,[status(thm),theory(equality)],[909,759]),
[iquote('para(909,759)')] ).
cnf(987,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)],[909,34]),
[iquote('para(909,34)')] ).
cnf(1011,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)],[915,695]),695]),
[iquote('para(915,695),demod([695])')] ).
cnf(1012,plain,
equal(inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))),inverse(inverse(multiply(B,inverse(B))))),
inference(para,[status(thm),theory(equality)],[759,1011]),
[iquote('para(759,1011)')] ).
cnf(1013,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))))),
inference(flip,[status(thm),theory(equality)],[1012]),
[iquote('flip(1012)')] ).
cnf(1046,plain,
equal(multiply(A,inverse(inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[1013,759]),
[iquote('para(1013,759)')] ).
cnf(1050,plain,
equal(multiply(A,multiply(inverse(inverse(inverse(multiply(B,inverse(B))))),inverse(inverse(multiply(C,inverse(C)))))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[760,1046]),
[iquote('para(760,1046)')] ).
cnf(1051,plain,
equal(inverse(inverse(A)),multiply(A,multiply(inverse(inverse(inverse(multiply(B,inverse(B))))),inverse(inverse(multiply(C,inverse(C))))))),
inference(flip,[status(thm),theory(equality)],[1050]),
[iquote('flip(1050)')] ).
cnf(1272,plain,
equal(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1011,695]),695]),
[iquote('para(1011,695),demod([695])')] ).
cnf(1279,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)],[760,1272]),
[iquote('para(760,1272)')] ).
cnf(1357,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)],[1279,1272]),633]),
[iquote('para(1279,1272),demod([633])')] ).
cnf(1358,plain,
equal(inverse(multiply(A,inverse(A))),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(flip,[status(thm),theory(equality)],[1357]),
[iquote('flip(1357)')] ).
cnf(1381,plain,
equal(inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[1358,1357]),
[iquote('para(1358,1357)')] ).
cnf(1401,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(C)))))),B),
inference(para,[status(thm),theory(equality)],[1358,633]),
[iquote('para(1358,633)')] ).
cnf(1456,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),multiply(inverse(multiply(C,inverse(C))),inverse(inverse(multiply(D,inverse(D)))))),B),
inference(para,[status(thm),theory(equality)],[760,1401]),
[iquote('para(760,1401)')] ).
cnf(1460,plain,
equal(inverse(inverse(multiply(inverse(A),inverse(inverse(A))))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[910,1381]),
[iquote('para(910,1381)')] ).
cnf(1464,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[1272,1460]),
[iquote('para(1272,1460)')] ).
cnf(1465,plain,
equal(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B))))),
inference(flip,[status(thm),theory(equality)],[1464]),
[iquote('flip(1464)')] ).
cnf(1472,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),inverse(inverse(A))),
inference(para,[status(thm),theory(equality)],[1464,759]),
[iquote('para(1464,759)')] ).
cnf(1502,plain,
equal(inverse(inverse(multiply(inverse(A),multiply(A,B)))),B),
inference(para,[status(thm),theory(equality)],[1472,633]),
[iquote('para(1472,633)')] ).
cnf(1527,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)],[601]),1502]),
[iquote('back_demod(601),demod([1502])')] ).
cnf(1528,plain,
equal(multiply(A,inverse(inverse(multiply(inverse(A),B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[134]),1527]),
[iquote('back_demod(134),demod([1527])')] ).
cnf(1537,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)],[1528,1528]),1]),
[iquote('para(1528,1528),flip(1)')] ).
cnf(1580,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(inverse(multiply(B,inverse(B))),C)))),C),
inference(para,[status(thm),theory(equality)],[1464,1528]),
[iquote('para(1464,1528)')] ).
cnf(1581,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)],[1465,1528]),1537]),
[iquote('para(1465,1528),demod([1537])')] ).
cnf(1586,plain,
equal(inverse(inverse(A)),multiply(A,multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[792]),1581]),
[iquote('back_demod(792),demod([1581])')] ).
cnf(1587,plain,
equal(multiply(A,multiply(B,inverse(B))),inverse(inverse(A))),
inference(flip,[status(thm),theory(equality)],[1586]),
[iquote('flip(1586)')] ).
cnf(1599,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)],[29,1]),
[iquote('para(29,1)')] ).
cnf(1608,plain,
equal(multiply(A,multiply(B,inverse(inverse(multiply(multiply(inverse(multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),E)),F)),G)),inverse(multiply(D,F))))),E))),H),inverse(multiply(C,H))))))),inverse(multiply(multiply(inverse(multiply(inverse(I),multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),G)))),J),inverse(multiply(I,J))))),
inference(para,[status(thm),theory(equality)],[29,3]),
[iquote('para(29,3)')] ).
cnf(1609,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(multiply(multiply(inverse(multiply(inverse(F),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(G),H)),I)),D)),inverse(multiply(G,I))))),H))),J),inverse(multiply(F,J)))))))),
inference(flip,[status(thm),theory(equality)],[1608]),
[iquote('flip(1608)')] ).
cnf(1625,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)],[1358,1528]),1537]),
[iquote('para(1358,1528),demod([1537])')] ).
cnf(1629,plain,
equal(multiply(inverse(A),multiply(A,inverse(inverse(B)))),B),
inference(para,[status(thm),theory(equality)],[1537,1528]),
[iquote('para(1537,1528)')] ).
cnf(1630,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)],[1599]),1629]),
[iquote('back_demod(1599),demod([1629])')] ).
cnf(1635,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)],[1609]),1630]),
[iquote('back_demod(1609),demod([1630])')] ).
cnf(1693,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)],[157]),1635,1]),
[iquote('back_demod(157),demod([1635,1])')] ).
cnf(1818,plain,
equal(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))),inverse(inverse(multiply(C,inverse(inverse(A)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[408]),1693,1537,1693,1537,1693,1528]),
[iquote('back_demod(408),demod([1693,1537,1693,1537,1693,1528])')] ).
cnf(1819,plain,
equal(inverse(inverse(multiply(A,inverse(inverse(B))))),inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))),
inference(flip,[status(thm),theory(equality)],[1818]),
[iquote('flip(1818)')] ).
cnf(1855,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(C,inverse(C)))))),inverse(B)),
inference(para,[status(thm),theory(equality)],[1586,1629]),
[iquote('para(1586,1629)')] ).
cnf(1859,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1629,1587]),1]),
[iquote('para(1629,1587),flip(1)')] ).
cnf(1910,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)],[987]),1859,1855]),
[iquote('back_demod(987),demod([1859,1855])')] ).
cnf(1927,plain,
equal(multiply(inverse(A),multiply(A,B)),inverse(inverse(B))),
inference(para,[status(thm),theory(equality)],[1859,1629]),
[iquote('para(1859,1629)')] ).
cnf(1961,plain,
equal(inverse(inverse(multiply(A,inverse(inverse(B))))),multiply(inverse(inverse(A)),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1629,1927]),1]),
[iquote('para(1629,1927),flip(1)')] ).
cnf(1964,plain,
equal(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))),multiply(inverse(inverse(C)),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1819]),1961]),1]),
[iquote('back_demod(1819),demod([1961]),flip(1)')] ).
cnf(2029,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)],[1927,1927]),1]),
[iquote('para(1927,1927),flip(1)')] ).
cnf(2087,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)],[1580]),2029,2029]),
[iquote('back_demod(1580),demod([2029,2029])')] ).
cnf(2096,plain,
equal(multiply(multiply(inverse(A),multiply(A,B)),multiply(inverse(multiply(C,inverse(C))),multiply(inverse(inverse(D)),inverse(inverse(inverse(D)))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1456]),2029]),
[iquote('back_demod(1456),demod([2029])')] ).
cnf(2113,plain,
equal(inverse(inverse(A)),multiply(A,multiply(inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))))),multiply(inverse(inverse(C)),inverse(inverse(inverse(C))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1051]),2029,2029]),
[iquote('back_demod(1051),demod([2029,2029])')] ).
cnf(2114,plain,
equal(multiply(A,multiply(inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))))),multiply(inverse(inverse(C)),inverse(inverse(inverse(C)))))),inverse(inverse(A))),
inference(flip,[status(thm),theory(equality)],[2113]),
[iquote('flip(2113)')] ).
cnf(2121,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),multiply(inverse(inverse(D)),inverse(inverse(inverse(D))))),inverse(inverse(inverse(B))))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[834]),2029]),
[iquote('back_demod(834),demod([2029])')] ).
cnf(2148,plain,
equal(inverse(multiply(inverse(multiply(A,B)),A)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1859,1910]),1859]),
[iquote('para(1859,1910),demod([1859])')] ).
cnf(2156,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1587,2148]),2029,2029,2029,2029,1859,1859,1859]),
[iquote('para(1587,2148),demod([2029,2029,2029,2029,1859,1859,1859])')] ).
cnf(2160,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1625]),2156]),
[iquote('back_demod(1625),demod([2156])')] ).
cnf(2161,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2087]),2160]),
[iquote('back_demod(2087),demod([2160])')] ).
cnf(2162,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2160]),2161]),
[iquote('back_demod(2160),demod([2161])')] ).
cnf(2179,plain,
equal(multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),multiply(D,inverse(D))),inverse(B))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2121]),2162,2162,2162]),
[iquote('back_demod(2121),demod([2162,2162,2162])')] ).
cnf(2181,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2114]),2162,2162,2162,2162,2161,2162]),
[iquote('back_demod(2114),demod([2162,2162,2162,2162,2161,2162])')] ).
cnf(2183,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2179]),2181,2148]),
[iquote('back_demod(2179),demod([2181,2148])')] ).
cnf(2193,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2096]),2183,2162,2162,2181]),
[iquote('back_demod(2096),demod([2183,2162,2162,2181])')] ).
cnf(2198,plain,
equal(inverse(multiply(inverse(A),inverse(B))),multiply(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[663]),2183,2183,2193,2183]),1]),
[iquote('back_demod(663),demod([2183,2183,2193,2183]),flip(1)')] ).
cnf(2221,plain,
equal(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))),multiply(C,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1964]),2162]),
[iquote('back_demod(1964),demod([2162])')] ).
cnf(2226,plain,
equal(inverse(multiply(A,B)),multiply(inverse(B),inverse(A))),
inference(para,[status(thm),theory(equality)],[2198,2162]),
[iquote('para(2198,2162)')] ).
cnf(2228,plain,
equal(multiply(multiply(A,B),multiply(inverse(B),C)),multiply(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2221]),2226,2226,2226,2162,2162,2226,2162]),
[iquote('back_demod(2221),demod([2226,2226,2226,2162,2162,2226,2162])')] ).
cnf(2247,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(para,[status(thm),theory(equality)],[2183,2228]),
[iquote('para(2183,2228)')] ).
cnf(2248,plain,
$false,
inference(conflict,[status(thm)],[2247,2]),
[iquote('conflict(2247,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : tptp2X_and_run_eqp %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 23:48:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.77/1.49 ----- EQP 0.9e, May 2009 -----
% 0.77/1.49 The job began on n024.cluster.edu, Mon Jun 13 23:48:34 2022
% 0.77/1.49 The command was "./eqp09e".
% 0.77/1.49
% 0.77/1.49 set(prolog_style_variables).
% 0.77/1.49 set(lrpo).
% 0.77/1.49 set(basic_paramod).
% 0.77/1.49 set(functional_subsume).
% 0.77/1.49 set(ordered_paramod).
% 0.77/1.49 set(prime_paramod).
% 0.77/1.49 set(para_pairs).
% 0.77/1.49 assign(pick_given_ratio,4).
% 0.77/1.49 clear(print_kept).
% 0.77/1.49 clear(print_new_demod).
% 0.77/1.49 clear(print_back_demod).
% 0.77/1.49 clear(print_given).
% 0.77/1.49 assign(max_mem,64000).
% 0.77/1.49 end_of_commands.
% 0.77/1.49
% 0.77/1.49 Usable:
% 0.77/1.49 end_of_list.
% 0.77/1.49
% 0.77/1.49 Sos:
% 0.77/1.49 0 (wt=-1) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 0.77/1.49 0 (wt=-1) [] -(multiply(a,multiply(b,c)) = multiply(multiply(a,b),c)).
% 0.77/1.49 end_of_list.
% 0.77/1.49
% 0.77/1.49 Demodulators:
% 0.77/1.49 end_of_list.
% 0.77/1.49
% 0.77/1.49 Passive:
% 0.77/1.49 end_of_list.
% 0.77/1.49
% 0.77/1.49 Starting to process input.
% 0.77/1.49
% 0.77/1.49 ** KEPT: 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 0.77/1.49 1 is a new demodulator.
% 0.77/1.49
% 0.77/1.49 ** KEPT: 2 (wt=11) [flip(1)] -(multiply(multiply(a,b),c) = multiply(a,multiply(b,c))).
% 0.77/1.49 ---------------- PROOF FOUND ----------------
% 0.77/1.49 % SZS status Unsatisfiable
% 0.77/1.49
% 0.77/1.49
% 0.77/1.49 After processing input:
% 0.77/1.49
% 0.77/1.49 Usable:
% 0.77/1.49 end_of_list.
% 0.77/1.49
% 0.77/1.49 Sos:
% 0.77/1.49 2 (wt=11) [flip(1)] -(multiply(multiply(a,b),c) = multiply(a,multiply(b,c))).
% 0.77/1.49 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 0.77/1.49 end_of_list.
% 0.77/1.49
% 0.77/1.49 Demodulators:
% 0.77/1.49 1 (wt=20) [] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C.
% 0.77/1.49 end_of_list.
% 0.77/1.49
% 0.77/1.49 Passive:
% 0.77/1.49 end_of_list.
% 0.77/1.49
% 0.77/1.49 UNIT CONFLICT from 2247 and 2 at 0.30 seconds.
% 0.77/1.49
% 0.77/1.49 ---------------- PROOF ----------------
% 0.77/1.49 % SZS output start Refutation
% See solution above
% 0.77/1.49 ------------ end of proof -------------
% 0.77/1.49
% 0.77/1.49
% 0.77/1.49 ------------- memory usage ------------
% 0.77/1.49 Memory dynamically allocated (tp_alloc): 8789.
% 0.77/1.49 type (bytes each) gets frees in use avail bytes
% 0.77/1.49 sym_ent ( 96) 57 0 57 0 5.3 K
% 0.77/1.49 term ( 16) 343289 241820 101469 59 1974.2 K
% 0.77/1.49 gen_ptr ( 8) 829778 143986 685792 105 5358.6 K
% 0.77/1.49 context ( 808) 220043 220041 2 10 9.5 K
% 0.77/1.49 trail ( 12) 32601 32601 0 15 0.2 K
% 0.77/1.49 bt_node ( 68) 20665 20661 4 40 2.9 K
% 0.77/1.49 ac_position (285432) 0 0 0 0 0.0 K
% 0.77/1.49 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.77/1.49 ac_match_free_vars_pos (4020)
% 0.77/1.49 0 0 0 0 0.0 K
% 0.77/1.49 discrim ( 12) 63046 62722 324 47311 558.2 K
% 0.77/1.49 flat ( 40) 1242150 1242150 0 113 4.4 K
% 0.77/1.49 discrim_pos ( 12) 10392 10392 0 1 0.0 K
% 0.77/1.49 fpa_head ( 12) 7308 0 7308 0 85.6 K
% 0.77/1.49 fpa_tree ( 28) 5278 5278 0 19 0.5 K
% 0.77/1.49 fpa_pos ( 36) 2974 2974 0 1 0.0 K
% 0.77/1.49 literal ( 12) 10303 8056 2247 1 26.3 K
% 0.77/1.49 clause ( 24) 10303 8056 2247 1 52.7 K
% 0.77/1.49 list ( 12) 786 730 56 10 0.8 K
% 0.77/1.49 list_pos ( 20) 12368 10052 2316 3260 108.9 K
% 0.77/1.49 pair_index ( 40) 2 0 2 0 0.1 K
% 0.77/1.49
% 0.77/1.49 -------------- statistics -------------
% 0.77/1.49 Clauses input 2
% 0.77/1.49 Usable input 0
% 0.77/1.49 Sos input 2
% 0.77/1.49 Demodulators input 0
% 0.77/1.49 Passive input 0
% 0.77/1.49
% 0.77/1.49 Processed BS (before search) 2
% 0.77/1.49 Forward subsumed BS 0
% 0.77/1.49 Kept BS 2
% 0.77/1.49 New demodulators BS 1
% 0.77/1.49 Back demodulated BS 0
% 0.77/1.49
% 0.77/1.49 Clauses or pairs given 1717
% 0.77/1.49 Clauses generated 5502
% 0.77/1.49 Forward subsumed 3257
% 0.77/1.49 Deleted by weight 0
% 0.77/1.49 Deleted by variable count 0
% 0.77/1.49 Kept 2245
% 0.77/1.49 New demodulators 726
% 0.77/1.49 Back demodulated 2221
% 0.77/1.49 Ordered paramod prunes 0
% 0.77/1.49 Basic paramod prunes 14674
% 0.77/1.49 Prime paramod prunes 41
% 0.77/1.49 Semantic prunes 0
% 0.77/1.49
% 0.77/1.49 Rewrite attmepts 178458
% 0.77/1.49 Rewrites 8493
% 0.77/1.49
% 0.77/1.49 FPA overloads 0
% 0.77/1.49 FPA underloads 0
% 0.77/1.49
% 0.77/1.49 Usable size 0
% 0.77/1.49 Sos size 25
% 0.77/1.49 Demodulators size 20
% 0.77/1.49 Passive size 0
% 0.77/1.49 Disabled size 2221
% 0.77/1.49
% 0.77/1.49 Proofs found 1
% 0.77/1.49
% 0.77/1.49 ----------- times (seconds) ----------- Mon Jun 13 23:48:34 2022
% 0.77/1.49
% 0.77/1.49 user CPU time 0.30 (0 hr, 0 min, 0 sec)
% 0.77/1.49 system CPU time 0.09 (0 hr, 0 min, 0 sec)
% 0.77/1.49 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.77/1.49 input time 0.00
% 0.77/1.49 paramodulation time 0.02
% 0.77/1.49 demodulation time 0.04
% 0.77/1.49 orient time 0.02
% 0.77/1.49 weigh time 0.01
% 0.77/1.49 forward subsume time 0.02
% 0.77/1.49 back demod find time 0.03
% 0.77/1.49 conflict time 0.00
% 0.77/1.49 LRPO time 0.01
% 0.77/1.49 store clause time 0.10
% 0.77/1.49 disable clause time 0.02
% 0.77/1.49 prime paramod time 0.01
% 0.77/1.49 semantics time 0.00
% 0.77/1.49
% 0.77/1.49 EQP interrupted
%------------------------------------------------------------------------------