TSTP Solution File: GRP433-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP433-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n029.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 08:47:09 EDT 2022
% Result : Unsatisfiable 0.72s 1.14s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 1
% Syntax : Number of clauses : 79 ( 79 unt; 0 nHn; 2 RR)
% Number of literals : 79 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 316 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))),C),
file('GRP433-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),multiply(E,inverse(E))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C)),D),multiply(E,inverse(E))))),
inference(flip,[status(thm),theory(equality)],[3]),
[iquote('flip(3)')] ).
cnf(6,plain,
equal(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C))),D),multiply(E,inverse(E)))),multiply(F,inverse(F))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(7,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(multiply(B,inverse(B)),multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D))),E),multiply(F,inverse(F))))),
inference(flip,[status(thm),theory(equality)],[6]),
[iquote('flip(6)')] ).
cnf(11,plain,
equal(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(multiply(multiply(multiply(D,multiply(inverse(multiply(multiply(E,F),D)),E)),F),multiply(G,inverse(G))),multiply(H,inverse(H))))),multiply(I,inverse(I))),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(12,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,multiply(inverse(multiply(multiply(C,D),B)),C)),D),multiply(multiply(multiply(multiply(E,multiply(inverse(multiply(multiply(F,G),E)),F)),G),multiply(H,inverse(H))),multiply(I,inverse(I)))))),
inference(flip,[status(thm),theory(equality)],[11]),
[iquote('flip(11)')] ).
cnf(13,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[3,3]),
[iquote('para(3,3)')] ).
cnf(14,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),inverse(C)),multiply(D,inverse(D)))),B),
inference(para,[status(thm),theory(equality)],[13,1]),
[iquote('para(13,1)')] ).
cnf(15,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),multiply(D,inverse(D)))),inverse(multiply(B,C))),
inference(para,[status(thm),theory(equality)],[13,1]),
[iquote('para(13,1)')] ).
cnf(16,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E)),F),inverse(F)),multiply(G,inverse(G)))),E),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(19,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(multiply(B,inverse(B)),C))))),multiply(D,inverse(D)))),C),
inference(para,[status(thm),theory(equality)],[13,14]),
[iquote('para(13,14)')] ).
cnf(20,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))),inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B))),
inference(para,[status(thm),theory(equality)],[13,15]),
[iquote('para(13,15)')] ).
cnf(21,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),multiply(D,inverse(D))))),
inference(flip,[status(thm),theory(equality)],[20]),
[iquote('flip(20)')] ).
cnf(22,plain,
equal(inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))),inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C))))),
inference(para,[status(thm),theory(equality)],[13,15]),
[iquote('para(13,15)')] ).
cnf(23,plain,
equal(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),A)))),inverse(multiply(multiply(C,inverse(C)),multiply(D,inverse(D))))),
inference(flip,[status(thm),theory(equality)],[22]),
[iquote('flip(22)')] ).
cnf(102,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(inverse(multiply(multiply(B,inverse(B)),C)))))),C),
inference(para,[status(thm),theory(equality)],[15,19]),
[iquote('para(15,19)')] ).
cnf(110,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(inverse(inverse(multiply(multiply(D,inverse(D)),E))))),E))),inverse(multiply(inverse(inverse(multiply(F,inverse(F)))),B))),
inference(para,[status(thm),theory(equality)],[102,20]),
[iquote('para(102,20)')] ).
cnf(111,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),multiply(multiply(inverse(inverse(multiply(D,inverse(D)))),inverse(inverse(inverse(multiply(multiply(E,inverse(E)),F))))),F)))),
inference(flip,[status(thm),theory(equality)],[110]),
[iquote('flip(110)')] ).
cnf(117,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B))))),C),inverse(C)),multiply(D,inverse(D)))),multiply(E,inverse(E))),
inference(para,[status(thm),theory(equality)],[20,14]),
[iquote('para(20,14)')] ).
cnf(122,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(multiply(C,inverse(C)))))))),multiply(D,inverse(D)))),multiply(E,inverse(E))),
inference(para,[status(thm),theory(equality)],[13,117]),
[iquote('para(13,117)')] ).
cnf(123,plain,
equal(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(inverse(inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(multiply(D,inverse(D)))))))),multiply(E,inverse(E))))),
inference(flip,[status(thm),theory(equality)],[122]),
[iquote('flip(122)')] ).
cnf(158,plain,
equal(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,14]),14]),
[iquote('para(23,14),demod([14])')] ).
cnf(159,plain,
equal(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B)))),multiply(C,inverse(C))),
inference(flip,[status(thm),theory(equality)],[158]),
[iquote('flip(158)')] ).
cnf(173,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E)))))),C),
inference(para,[status(thm),theory(equality)],[158,1]),
[iquote('para(158,1)')] ).
cnf(176,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E)))))),inverse(multiply(B,C))),
inference(para,[status(thm),theory(equality)],[13,173]),
[iquote('para(13,173)')] ).
cnf(202,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))))),inverse(multiply(inverse(inverse(multiply(E,inverse(E)))),B))),
inference(para,[status(thm),theory(equality)],[13,176]),
[iquote('para(13,176)')] ).
cnf(203,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),inverse(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E))))))),
inference(flip,[status(thm),theory(equality)],[202]),
[iquote('flip(202)')] ).
cnf(220,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(multiply(B,inverse(B)),C))))),multiply(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E))),multiply(F,inverse(F))))),C),
inference(para,[status(thm),theory(equality)],[159,19]),
[iquote('para(159,19)')] ).
cnf(221,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))),multiply(E,inverse(E))))),inverse(multiply(inverse(inverse(multiply(F,inverse(F)))),B))),
inference(para,[status(thm),theory(equality)],[159,20]),
[iquote('para(159,20)')] ).
cnf(222,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(multiply(multiply(multiply(C,inverse(C)),B),multiply(multiply(inverse(multiply(D,inverse(D))),multiply(E,inverse(E))),multiply(F,inverse(F)))))),
inference(flip,[status(thm),theory(equality)],[221]),
[iquote('flip(221)')] ).
cnf(337,plain,
equal(inverse(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(C,inverse(C))))),A),B)),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[15,3]),
[iquote('para(15,3)')] ).
cnf(348,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),inverse(C)),inverse(multiply(multiply(multiply(D,multiply(inverse(multiply(multiply(E,F),D)),E)),F),multiply(multiply(multiply(multiply(G,multiply(inverse(multiply(multiply(H,I),G)),H)),I),multiply(J,inverse(J))),multiply(K,inverse(K))))))),B),
inference(para,[status(thm),theory(equality)],[12,14]),
[iquote('para(12,14)')] ).
cnf(349,plain,
equal(inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,C),inverse(multiply(D,inverse(D)))))),B),multiply(E,inverse(E)))),C),
inference(para,[status(thm),theory(equality)],[337,1]),
[iquote('para(337,1)')] ).
cnf(351,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))),inverse(B)),
inference(para,[status(thm),theory(equality)],[13,349]),
[iquote('para(13,349)')] ).
cnf(365,plain,
equal(multiply(A,inverse(A)),inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(multiply(C,inverse(C))))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[123]),351]),
[iquote('back_demod(123),demod([351])')] ).
cnf(366,plain,
equal(inverse(inverse(inverse(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))))))),multiply(C,inverse(C))),
inference(flip,[status(thm),theory(equality)],[365]),
[iquote('flip(365)')] ).
cnf(371,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),B)),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),351]),
[iquote('back_demod(21),demod([351])')] ).
cnf(372,plain,
equal(inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[366]),371]),
[iquote('back_demod(366),demod([371])')] ).
cnf(385,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D))),multiply(E,inverse(E))))),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[222]),371]),1]),
[iquote('back_demod(222),demod([371]),flip(1)')] ).
cnf(386,plain,
equal(inverse(inverse(inverse(inverse(multiply(multiply(A,inverse(A)),B))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[220]),385]),
[iquote('back_demod(220),demod([385])')] ).
cnf(391,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(multiply(C,inverse(C))),multiply(D,inverse(D)))))),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[203]),371]),1]),
[iquote('back_demod(203),demod([371]),flip(1)')] ).
cnf(399,plain,
equal(inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(inverse(inverse(multiply(multiply(D,inverse(D)),E))))),E))),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[111]),371]),1]),
[iquote('back_demod(111),demod([371]),flip(1)')] ).
cnf(404,plain,
equal(inverse(multiply(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E),multiply(F,inverse(F)))),inverse(E)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,15]),371]),
[iquote('para(4,15),demod([371])')] ).
cnf(418,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),inverse(multiply(multiply(multiply(multiply(D,inverse(D)),multiply(E,multiply(inverse(multiply(multiply(F,G),E)),F))),G),multiply(H,inverse(H)))))),inverse(multiply(B,C))),
inference(para,[status(thm),theory(equality)],[7,15]),
[iquote('para(7,15)')] ).
cnf(430,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[386,372]),
[iquote('para(386,372)')] ).
cnf(431,plain,
equal(multiply(A,inverse(A)),inverse(inverse(multiply(B,inverse(B))))),
inference(flip,[status(thm),theory(equality)],[430]),
[iquote('flip(430)')] ).
cnf(439,plain,
equal(inverse(inverse(inverse(inverse(multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),C))))),C),
inference(para,[status(thm),theory(equality)],[430,386]),
[iquote('para(430,386)')] ).
cnf(440,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,inverse(B)))),
inference(para,[status(thm),theory(equality)],[430,386]),
[iquote('para(430,386)')] ).
cnf(445,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),inverse(multiply(multiply(multiply(D,multiply(inverse(multiply(multiply(E,F),D)),E)),F),multiply(multiply(multiply(multiply(G,multiply(inverse(multiply(multiply(H,I),G)),H)),I),multiply(J,inverse(J))),multiply(K,inverse(K))))))),inverse(multiply(B,C))),
inference(para,[status(thm),theory(equality)],[12,15]),
[iquote('para(12,15)')] ).
cnf(446,plain,
equal(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[440,430]),
[iquote('para(440,430)')] ).
cnf(447,plain,
equal(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),
inference(flip,[status(thm),theory(equality)],[446]),
[iquote('flip(446)')] ).
cnf(456,plain,
equal(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E)),F),inverse(F)),inverse(multiply(multiply(multiply(G,multiply(inverse(multiply(multiply(H,I),G)),H)),I),multiply(J,inverse(J)))))),E),
inference(para,[status(thm),theory(equality)],[4,16]),
[iquote('para(4,16)')] ).
cnf(457,plain,
equal(inverse(inverse(inverse(inverse(multiply(inverse(multiply(A,inverse(A))),B))))),B),
inference(para,[status(thm),theory(equality)],[447,386]),
[iquote('para(447,386)')] ).
cnf(468,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[431,386]),371]),
[iquote('para(431,386),demod([371])')] ).
cnf(469,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[457]),468]),
[iquote('back_demod(457),demod([468])')] ).
cnf(470,plain,
equal(inverse(multiply(multiply(A,B),inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D)),E),multiply(multiply(multiply(multiply(F,multiply(inverse(multiply(multiply(G,H),F)),G)),H),multiply(I,inverse(I))),multiply(J,inverse(J))))))),inverse(multiply(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[445]),469]),
[iquote('back_demod(445),demod([469])')] ).
cnf(471,plain,
equal(inverse(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),inverse(C))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[348]),470]),
[iquote('back_demod(348),demod([470])')] ).
cnf(479,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[439]),469,468]),
[iquote('back_demod(439),demod([469,468])')] ).
cnf(480,plain,
equal(inverse(multiply(multiply(inverse(A),B),inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[471]),479]),
[iquote('back_demod(471),demod([479])')] ).
cnf(484,plain,
equal(inverse(multiply(multiply(A,B),inverse(multiply(multiply(multiply(C,multiply(inverse(multiply(multiply(D,E),C)),D)),E),multiply(F,inverse(F)))))),inverse(multiply(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[418]),469,479]),
[iquote('back_demod(418),demod([469,479])')] ).
cnf(485,plain,
equal(multiply(inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),multiply(D,inverse(D)))),E),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[456]),484,480]),
[iquote('back_demod(456),demod([484,480])')] ).
cnf(494,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[404]),485]),
[iquote('back_demod(404),demod([485])')] ).
cnf(506,plain,
equal(inverse(multiply(A,inverse(multiply(B,inverse(B))))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[391]),479,469]),
[iquote('back_demod(391),demod([479,469])')] ).
cnf(508,plain,
equal(inverse(multiply(inverse(multiply(A,B)),A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[349]),506,479,494]),
[iquote('back_demod(349),demod([506,479,494])')] ).
cnf(562,plain,
equal(inverse(multiply(A,multiply(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(inverse(inverse(C)))),C))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[399]),479,479]),
[iquote('back_demod(399),demod([479,479])')] ).
cnf(586,plain,
equal(inverse(inverse(inverse(A))),multiply(inverse(multiply(B,A)),B)),
inference(para,[status(thm),theory(equality)],[508,468]),
[iquote('para(508,468)')] ).
cnf(587,plain,
equal(multiply(inverse(multiply(A,B)),A),inverse(inverse(inverse(B)))),
inference(flip,[status(thm),theory(equality)],[586]),
[iquote('flip(586)')] ).
cnf(588,plain,
equal(multiply(inverse(inverse(multiply(A,inverse(A)))),B),B),
inference(para,[status(thm),theory(equality)],[469,479]),
[iquote('para(469,479)')] ).
cnf(589,plain,
equal(inverse(multiply(A,multiply(inverse(inverse(inverse(B))),B))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[562]),588]),
[iquote('back_demod(562),demod([588])')] ).
cnf(592,plain,
equal(multiply(multiply(multiply(inverse(multiply(A,B)),A),B),C),C),
inference(para,[status(thm),theory(equality)],[508,479]),
[iquote('para(508,479)')] ).
cnf(593,plain,
equal(inverse(inverse(A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[479,508]),494]),
[iquote('para(479,508),demod([494])')] ).
cnf(596,plain,
equal(inverse(multiply(A,multiply(inverse(B),B))),inverse(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[589]),593]),
[iquote('back_demod(589),demod([593])')] ).
cnf(597,plain,
equal(multiply(inverse(multiply(A,B)),A),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[587]),593]),
[iquote('back_demod(587),demod([593])')] ).
cnf(598,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[592]),597]),
[iquote('back_demod(592),demod([597])')] ).
cnf(637,plain,
equal(multiply(A,multiply(inverse(B),B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[596,593]),593]),1]),
[iquote('para(596,593),demod([593]),flip(1)')] ).
cnf(643,plain,
equal(multiply(inverse(A),A),multiply(inverse(B),B)),
inference(para,[status(thm),theory(equality)],[637,598]),
[iquote('para(637,598)')] ).
cnf(644,plain,
$false,
inference(conflict,[status(thm)],[643,2]),
[iquote('conflict(643,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP433-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n029.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 15:39:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.14 ----- EQP 0.9e, May 2009 -----
% 0.72/1.14 The job began on n029.cluster.edu, Mon Jun 13 15:39:10 2022
% 0.72/1.14 The command was "./eqp09e".
% 0.72/1.14
% 0.72/1.14 set(prolog_style_variables).
% 0.72/1.14 set(lrpo).
% 0.72/1.14 set(basic_paramod).
% 0.72/1.14 set(functional_subsume).
% 0.72/1.14 set(ordered_paramod).
% 0.72/1.14 set(prime_paramod).
% 0.72/1.14 set(para_pairs).
% 0.72/1.14 assign(pick_given_ratio,4).
% 0.72/1.14 clear(print_kept).
% 0.72/1.14 clear(print_new_demod).
% 0.72/1.14 clear(print_back_demod).
% 0.72/1.14 clear(print_given).
% 0.72/1.14 assign(max_mem,64000).
% 0.72/1.14 end_of_commands.
% 0.72/1.14
% 0.72/1.14 Usable:
% 0.72/1.14 end_of_list.
% 0.72/1.14
% 0.72/1.14 Sos:
% 0.72/1.14 0 (wt=-1) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 0.72/1.14 0 (wt=-1) [] -(multiply(inverse(a1),a1) = multiply(inverse(b1),b1)).
% 0.72/1.14 end_of_list.
% 0.72/1.14
% 0.72/1.14 Demodulators:
% 0.72/1.14 end_of_list.
% 0.72/1.14
% 0.72/1.14 Passive:
% 0.72/1.14 end_of_list.
% 0.72/1.14
% 0.72/1.14 Starting to process input.
% 0.72/1.14
% 0.72/1.14 ** KEPT: 1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 0.72/1.14 1 is a new demodulator.
% 0.72/1.14
% 0.72/1.14 ** KEPT: 2 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.72/1.14 ---------------- PROOF FOUND ----------------
% 0.72/1.14 % SZS status Unsatisfiable
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 After processing input:
% 0.72/1.14
% 0.72/1.14 Usable:
% 0.72/1.14 end_of_list.
% 0.72/1.14
% 0.72/1.14 Sos:
% 0.72/1.14 2 (wt=9) [flip(1)] -(multiply(inverse(b1),b1) = multiply(inverse(a1),a1)).
% 0.72/1.14 1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 0.72/1.14 end_of_list.
% 0.72/1.14
% 0.72/1.14 Demodulators:
% 0.72/1.14 1 (wt=18) [] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C.
% 0.72/1.14 end_of_list.
% 0.72/1.14
% 0.72/1.14 Passive:
% 0.72/1.14 end_of_list.
% 0.72/1.14
% 0.72/1.14 UNIT CONFLICT from 643 and 2 at 0.06 seconds.
% 0.72/1.14
% 0.72/1.14 ---------------- PROOF ----------------
% 0.72/1.14 % SZS output start Refutation
% See solution above
% 0.72/1.14 ------------ end of proof -------------
% 0.72/1.14
% 0.72/1.14
% 0.72/1.14 ------------- memory usage ------------
% 0.72/1.14 Memory dynamically allocated (tp_alloc): 1953.
% 0.72/1.14 type (bytes each) gets frees in use avail bytes
% 0.72/1.14 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.72/1.14 term ( 16) 63915 43352 20563 56 400.2 K
% 0.72/1.14 gen_ptr ( 8) 152052 31147 120905 78 945.2 K
% 0.72/1.14 context ( 808) 39961 39959 2 3 3.9 K
% 0.72/1.14 trail ( 12) 5472 5472 0 15 0.2 K
% 0.72/1.14 bt_node ( 68) 5423 5420 3 33 2.4 K
% 0.72/1.14 ac_position (285432) 0 0 0 0 0.0 K
% 0.72/1.14 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.72/1.14 ac_match_free_vars_pos (4020)
% 0.72/1.14 0 0 0 0 0.0 K
% 0.72/1.14 discrim ( 12) 13023 12310 713 8142 103.8 K
% 0.72/1.14 flat ( 40) 130564 130564 0 64 2.5 K
% 0.72/1.14 discrim_pos ( 12) 1839 1839 0 1 0.0 K
% 0.72/1.14 fpa_head ( 12) 3409 0 3409 0 39.9 K
% 0.72/1.14 fpa_tree ( 28) 1436 1436 0 13 0.4 K
% 0.72/1.14 fpa_pos ( 36) 877 877 0 1 0.0 K
% 0.72/1.14 literal ( 12) 2983 2340 643 1 7.5 K
% 0.72/1.14 clause ( 24) 2983 2340 643 1 15.1 K
% 0.72/1.14 list ( 12) 293 237 56 10 0.8 K
% 0.72/1.14 list_pos ( 20) 3639 2862 777 1138 37.4 K
% 0.72/1.14 pair_index ( 40) 2 0 2 0 0.1 K
% 0.72/1.14
% 0.72/1.14 -------------- statistics -------------
% 0.72/1.14 Clauses input 2
% 0.72/1.14 Usable input 0
% 0.72/1.14 Sos input 2
% 0.72/1.14 Demodulators input 0
% 0.72/1.14 Passive input 0
% 0.72/1.14
% 0.72/1.14 Processed BS (before search) 2
% 0.72/1.14 Forward subsumed BS 0
% 0.72/1.14 Kept BS 2
% 0.72/1.14 New demodulators BS 1
% 0.72/1.14 Back demodulated BS 0
% 0.72/1.14
% 0.72/1.14 Clauses or pairs given 558
% 0.72/1.14 Clauses generated 1462
% 0.72/1.14 Forward subsumed 821
% 0.72/1.14 Deleted by weight 0
% 0.72/1.14 Deleted by variable count 0
% 0.72/1.14 Kept 641
% 0.72/1.14 New demodulators 233
% 0.72/1.14 Back demodulated 585
% 0.72/1.14 Ordered paramod prunes 0
% 0.72/1.14 Basic paramod prunes 3272
% 0.72/1.14 Prime paramod prunes 2
% 0.72/1.14 Semantic prunes 0
% 0.72/1.14
% 0.72/1.14 Rewrite attmepts 29114
% 0.72/1.14 Rewrites 1261
% 0.72/1.14
% 0.72/1.14 FPA overloads 0
% 0.72/1.14 FPA underloads 0
% 0.72/1.14
% 0.72/1.14 Usable size 0
% 0.72/1.14 Sos size 57
% 0.72/1.14 Demodulators size 21
% 0.72/1.14 Passive size 0
% 0.72/1.14 Disabled size 585
% 0.72/1.14
% 0.72/1.14 Proofs found 1
% 0.72/1.14
% 0.72/1.14 ----------- times (seconds) ----------- Mon Jun 13 15:39:11 2022
% 0.72/1.14
% 0.72/1.14 user CPU time 0.06 (0 hr, 0 min, 0 sec)
% 0.72/1.14 system CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.72/1.14 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 0.72/1.14 input time 0.00
% 0.72/1.14 paramodulation time 0.00
% 0.72/1.14 demodulation time 0.01
% 0.72/1.14 orient time 0.00
% 0.72/1.14 weigh time 0.00
% 0.72/1.14 forward subsume time 0.00
% 0.72/1.14 back demod find time 0.01
% 0.72/1.14 conflict time 0.00
% 0.72/1.14 LRPO time 0.00
% 0.72/1.14 store clause time 0.02
% 0.72/1.14 disable clause time 0.01
% 0.72/1.14 prime paramod time 0.00
% 0.72/1.14 semantics time 0.00
% 0.72/1.14
% 0.72/1.14 EQP interrupted
%------------------------------------------------------------------------------