TSTP Solution File: GRP431-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP431-1 : 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 08:47:08 EDT 2022
% Result : Unsatisfiable 0.88s 1.28s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 2
% Syntax : Number of clauses : 100 ( 100 unt; 0 nHn; 2 RR)
% Number of literals : 100 ( 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 : 421 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))),D),
file('GRP431-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(inverse(b2),b2),a2),a2),
file('GRP431-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),E))),multiply(multiply(multiply(F,inverse(F)),inverse(D)),A)))),E),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(4,plain,
equal(multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,D))),multiply(E,inverse(E))),multiply(C,A)))),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(C)),multiply(D,inverse(D))),multiply(E,A)))),inverse(multiply(F,multiply(multiply(multiply(G,inverse(G)),inverse(multiply(C,F))),E)))),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(8,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))),multiply(E,inverse(multiply(multiply(multiply(multiply(F,inverse(F)),inverse(C)),multiply(G,inverse(G))),multiply(D,E))))),
inference(flip,[status(thm),theory(equality)],[7]),
[iquote('flip(7)')] ).
cnf(10,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,multiply(multiply(multiply(E,inverse(E)),inverse(multiply(F,D))),multiply(G,inverse(G)))),B))),H))),multiply(F,A)))),H),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(11,plain,
equal(multiply(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),multiply(multiply(D,inverse(D)),inverse(E))))),inverse(multiply(inverse(multiply(F,multiply(multiply(multiply(G,inverse(G)),inverse(multiply(E,F))),H))),C))),H),
inference(para,[status(thm),theory(equality)],[1,3]),
[iquote('para(1,3)')] ).
cnf(14,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A)))),multiply(multiply(multiply(E,inverse(E)),inverse(multiply(B,D))),multiply(F,inverse(F)))),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(15,plain,
equal(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(D,inverse(D))),multiply(E,inverse(multiply(multiply(B,multiply(F,inverse(F))),multiply(C,E))))),
inference(flip,[status(thm),theory(equality)],[14]),
[iquote('flip(14)')] ).
cnf(33,plain,
equal(multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,inverse(multiply(multiply(E,multiply(F,inverse(F))),multiply(G,D)))))),A)))),multiply(multiply(H,inverse(H)),inverse(multiply(E,G)))),
inference(para,[status(thm),theory(equality)],[15,1]),
[iquote('para(15,1)')] ).
cnf(34,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(D,inverse(multiply(multiply(E,inverse(E)),multiply(multiply(multiply(F,inverse(F)),inverse(multiply(G,inverse(multiply(multiply(B,multiply(H,inverse(H))),multiply(C,G)))))),D))))),
inference(flip,[status(thm),theory(equality)],[33]),
[iquote('flip(33)')] ).
cnf(35,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,multiply(E,inverse(E))),multiply(B,C))))))),D),
inference(para,[status(thm),theory(equality)],[15,1]),
[iquote('para(15,1)')] ).
cnf(41,plain,
equal(multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,inverse(D))),multiply(A,B)))))),inverse(multiply(inverse(E),C))),E),
inference(para,[status(thm),theory(equality)],[35,1]),
[iquote('para(35,1)')] ).
cnf(43,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(D,multiply(E,inverse(E)))))),C))),D),
inference(para,[status(thm),theory(equality)],[1,35]),
[iquote('para(1,35)')] ).
cnf(52,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),C)),multiply(multiply(multiply(D,inverse(D)),inverse(B)),A)))),inverse(multiply(E,multiply(F,inverse(multiply(multiply(C,multiply(G,inverse(G))),multiply(E,F))))))),
inference(para,[status(thm),theory(equality)],[41,1]),
[iquote('para(41,1)')] ).
cnf(53,plain,
equal(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,inverse(D))),multiply(A,B)))))),multiply(E,inverse(multiply(inverse(multiply(inverse(F),C)),multiply(multiply(multiply(G,inverse(G)),inverse(F)),E))))),
inference(flip,[status(thm),theory(equality)],[52]),
[iquote('flip(52)')] ).
cnf(56,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,multiply(E,inverse(E))))))),
inference(para,[status(thm),theory(equality)],[43,1]),
[iquote('para(43,1)')] ).
cnf(58,plain,
equal(multiply(inverse(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,multiply(D,inverse(D)))))),B)),inverse(multiply(inverse(E),C))),E),
inference(para,[status(thm),theory(equality)],[43,1]),
[iquote('para(43,1)')] ).
cnf(68,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),multiply(E,inverse(E)))))),D),
inference(para,[status(thm),theory(equality)],[56,1]),
[iquote('para(56,1)')] ).
cnf(89,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[68,1]),3]),
[iquote('para(68,1),demod([3])')] ).
cnf(92,plain,
equal(multiply(A,inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),A)))),B),
inference(para,[status(thm),theory(equality)],[89,1]),
[iquote('para(89,1)')] ).
cnf(93,plain,
equal(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))),inverse(multiply(C,multiply(D,inverse(D))))),B),
inference(para,[status(thm),theory(equality)],[89,1]),
[iquote('para(89,1)')] ).
cnf(96,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(inverse(B),multiply(C,inverse(C))))),B),
inference(para,[status(thm),theory(equality)],[89,92]),
[iquote('para(89,92)')] ).
cnf(130,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),D))),multiply(multiply(multiply(E,inverse(E)),inverse(B)),A)))),D),
inference(para,[status(thm),theory(equality)],[92,1]),
[iquote('para(92,1)')] ).
cnf(136,plain,
equal(multiply(A,multiply(B,inverse(multiply(multiply(multiply(multiply(C,inverse(C)),inverse(D)),multiply(E,inverse(E))),multiply(A,B))))),D),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(141,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(C))))),multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(A,multiply(E,inverse(E))))))),
inference(para,[status(thm),theory(equality)],[89,56]),
[iquote('para(89,56)')] ).
cnf(142,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,multiply(D,inverse(D)))))),multiply(inverse(C),inverse(multiply(B,multiply(E,inverse(E)))))),
inference(flip,[status(thm),theory(equality)],[141]),
[iquote('flip(141)')] ).
cnf(143,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(multiply(multiply(multiply(B,inverse(B)),inverse(C)),multiply(D,inverse(D))),multiply(E,inverse(E)))))),C),
inference(para,[status(thm),theory(equality)],[89,136]),
[iquote('para(89,136)')] ).
cnf(161,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)),C),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[89,130]),92]),
[iquote('para(89,130),demod([92])')] ).
cnf(164,plain,
equal(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),inverse(multiply(C,inverse(C)))),
inference(para,[status(thm),theory(equality)],[89,161]),
[iquote('para(89,161)')] ).
cnf(170,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),multiply(D,inverse(D)))))),
inference(para,[status(thm),theory(equality)],[92,161]),
[iquote('para(92,161)')] ).
cnf(171,plain,
equal(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),multiply(C,inverse(C))))),multiply(inverse(multiply(D,inverse(D))),A)),
inference(flip,[status(thm),theory(equality)],[170]),
[iquote('flip(170)')] ).
cnf(175,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B))))),multiply(C,inverse(C))),
inference(para,[status(thm),theory(equality)],[161,96]),
[iquote('para(161,96)')] ).
cnf(176,plain,
equal(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),inverse(inverse(multiply(C,inverse(C)))))),
inference(flip,[status(thm),theory(equality)],[175]),
[iquote('flip(175)')] ).
cnf(192,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A)))),inverse(multiply(E,multiply(multiply(multiply(F,inverse(F)),inverse(multiply(multiply(G,multiply(multiply(multiply(H,inverse(H)),inverse(multiply(B,G))),multiply(I,inverse(I)))),E))),D)))),
inference(para,[status(thm),theory(equality)],[10,1]),
[iquote('para(10,1)')] ).
cnf(193,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(E,C))),multiply(F,inverse(F)))),A))),G))),multiply(H,inverse(multiply(multiply(E,multiply(I,inverse(I))),multiply(G,H))))),
inference(flip,[status(thm),theory(equality)],[192]),
[iquote('flip(192)')] ).
cnf(256,plain,
equal(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,inverse(C))))))),inverse(inverse(multiply(D,inverse(D))))),B),
inference(para,[status(thm),theory(equality)],[164,1]),
[iquote('para(164,1)')] ).
cnf(397,plain,
equal(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(C)),D))),multiply(E,inverse(E))),inverse(multiply(F,multiply(multiply(multiply(G,inverse(G)),inverse(multiply(C,F))),D)))),
inference(para,[status(thm),theory(equality)],[14,7]),
[iquote('para(14,7)')] ).
cnf(398,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))),multiply(multiply(multiply(E,inverse(E)),inverse(multiply(multiply(multiply(F,inverse(F)),inverse(C)),D))),multiply(G,inverse(G)))),
inference(flip,[status(thm),theory(equality)],[397]),
[iquote('flip(397)')] ).
cnf(418,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))),E)),inverse(multiply(multiply(F,multiply(G,inverse(G))),D))),multiply(multiply(multiply(H,inverse(H)),inverse(multiply(F,inverse(multiply(I,multiply(multiply(multiply(J,inverse(J)),inverse(multiply(E,I))),multiply(multiply(K,inverse(K)),inverse(C)))))))),multiply(L,inverse(L)))),
inference(para,[status(thm),theory(equality)],[11,14]),
[iquote('para(11,14)')] ).
cnf(419,plain,
equal(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(E,C))),multiply(multiply(F,inverse(F)),inverse(G)))))))),multiply(H,inverse(H))),multiply(inverse(multiply(inverse(multiply(I,multiply(multiply(multiply(J,inverse(J)),inverse(multiply(G,I))),K))),E)),inverse(multiply(multiply(B,multiply(L,inverse(L))),K)))),
inference(flip,[status(thm),theory(equality)],[418]),
[iquote('flip(418)')] ).
cnf(431,plain,
equal(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),C)),C),
inference(para,[status(thm),theory(equality)],[171,92]),
[iquote('para(171,92)')] ).
cnf(438,plain,
equal(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(multiply(inverse(C),B))),C),
inference(para,[status(thm),theory(equality)],[431,92]),
[iquote('para(431,92)')] ).
cnf(466,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(B),multiply(C,inverse(C))))),
inference(para,[status(thm),theory(equality)],[96,431]),
[iquote('para(96,431)')] ).
cnf(468,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B)))),multiply(C,inverse(C))),
inference(para,[status(thm),theory(equality)],[466,89]),
[iquote('para(466,89)')] ).
cnf(469,plain,
equal(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[468]),
[iquote('flip(468)')] ).
cnf(477,plain,
equal(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),multiply(C,inverse(C))))))),B),
inference(para,[status(thm),theory(equality)],[466,92]),
[iquote('para(466,92)')] ).
cnf(512,plain,
equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))))),inverse(multiply(inverse(D),A))),D),
inference(para,[status(thm),theory(equality)],[477,92]),
[iquote('para(477,92)')] ).
cnf(515,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(multiply(inverse(B),inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),multiply(D,inverse(D))))))),
inference(para,[status(thm),theory(equality)],[477,431]),
[iquote('para(477,431)')] ).
cnf(516,plain,
equal(inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C)))))),multiply(multiply(D,inverse(D)),A)),
inference(flip,[status(thm),theory(equality)],[515]),
[iquote('flip(515)')] ).
cnf(567,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(inverse(B),inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),multiply(D,inverse(D))))))),B),
inference(para,[status(thm),theory(equality)],[469,92]),
[iquote('para(469,92)')] ).
cnf(568,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))))),inverse(inverse(multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[469,431]),
[iquote('para(469,431)')] ).
cnf(569,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(multiply(B,inverse(B)),inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),multiply(D,inverse(D)))))),
inference(flip,[status(thm),theory(equality)],[568]),
[iquote('flip(568)')] ).
cnf(607,plain,
equal(multiply(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))),inverse(multiply(inverse(multiply(C,inverse(C))),inverse(inverse(multiply(D,inverse(D))))))),B),
inference(para,[status(thm),theory(equality)],[176,438]),
[iquote('para(176,438)')] ).
cnf(659,plain,
equal(multiply(inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))))),inverse(multiply(D,inverse(D)))),A),
inference(para,[status(thm),theory(equality)],[89,512]),
[iquote('para(89,512)')] ).
cnf(664,plain,
equal(inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C)))))),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[515,89]),
[iquote('para(515,89)')] ).
cnf(665,plain,
equal(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),inverse(multiply(inverse(inverse(multiply(C,inverse(C)))),multiply(D,inverse(D))))))),
inference(flip,[status(thm),theory(equality)],[664]),
[iquote('flip(664)')] ).
cnf(710,plain,
equal(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,A)))),inverse(C)),
inference(para,[status(thm),theory(equality)],[438,1]),
[iquote('para(438,1)')] ).
cnf(713,plain,
equal(multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))))),inverse(A)),
inference(para,[status(thm),theory(equality)],[89,710]),
[iquote('para(89,710)')] ).
cnf(716,plain,
equal(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(B,inverse(B)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[665]),713]),
[iquote('back_demod(665),demod([713])')] ).
cnf(717,plain,
equal(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(B,inverse(B))),
inference(flip,[status(thm),theory(equality)],[716]),
[iquote('flip(716)')] ).
cnf(718,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[567]),713]),
[iquote('back_demod(567),demod([713])')] ).
cnf(720,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[607]),718,718]),
[iquote('back_demod(607),demod([718,718])')] ).
cnf(722,plain,
equal(inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[659]),720]),
[iquote('back_demod(659),demod([720])')] ).
cnf(730,plain,
equal(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(B))),inverse(inverse(multiply(C,inverse(C))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[256]),720]),
[iquote('back_demod(256),demod([720])')] ).
cnf(736,plain,
equal(inverse(inverse(A)),multiply(multiply(B,inverse(B)),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[516]),713]),
[iquote('back_demod(516),demod([713])')] ).
cnf(737,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[736]),
[iquote('flip(736)')] ).
cnf(744,plain,
equal(multiply(A,inverse(inverse(inverse(inverse(multiply(B,inverse(B))))))),A),
inference(para,[status(thm),theory(equality)],[737,720]),
[iquote('para(737,720)')] ).
cnf(756,plain,
equal(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(C,inverse(C))))),A),
inference(para,[status(thm),theory(equality)],[717,720]),
[iquote('para(717,720)')] ).
cnf(757,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[569]),756]),
[iquote('back_demod(569),demod([756])')] ).
cnf(763,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))),A),
inference(para,[status(thm),theory(equality)],[757,720]),
[iquote('para(757,720)')] ).
cnf(764,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[722]),763]),
[iquote('back_demod(722),demod([763])')] ).
cnf(765,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[744]),764]),
[iquote('back_demod(744),demod([764])')] ).
cnf(766,plain,
equal(multiply(A,inverse(inverse(multiply(B,inverse(B))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[763]),765]),
[iquote('back_demod(763),demod([765])')] ).
cnf(767,plain,
equal(inverse(multiply(multiply(A,inverse(A)),inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[730]),766]),
[iquote('back_demod(730),demod([766])')] ).
cnf(771,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[93]),767,765]),
[iquote('back_demod(93),demod([767,765])')] ).
cnf(978,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,multiply(multiply(multiply(D,inverse(D)),inverse(multiply(E,C))),multiply(multiply(F,inverse(F)),inverse(G)))))))),multiply(inverse(multiply(inverse(multiply(H,multiply(multiply(multiply(I,inverse(I)),inverse(multiply(G,H))),J))),E)),inverse(multiply(B,J)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[419]),765,765]),
[iquote('back_demod(419),demod([765,765])')] ).
cnf(979,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))),E)),inverse(multiply(F,D))),multiply(multiply(G,inverse(G)),inverse(multiply(F,inverse(multiply(H,multiply(multiply(multiply(I,inverse(I)),inverse(multiply(E,H))),multiply(multiply(J,inverse(J)),inverse(C))))))))),
inference(flip,[status(thm),theory(equality)],[978]),
[iquote('flip(978)')] ).
cnf(988,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,A))),D))),multiply(multiply(E,inverse(E)),inverse(multiply(multiply(multiply(F,inverse(F)),inverse(C)),D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[398]),765]),
[iquote('back_demod(398),demod([765])')] ).
cnf(989,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(multiply(B,inverse(B)),inverse(C)),D))),inverse(multiply(E,multiply(multiply(multiply(F,inverse(F)),inverse(multiply(C,E))),D)))),
inference(flip,[status(thm),theory(equality)],[988]),
[iquote('flip(988)')] ).
cnf(1088,plain,
equal(inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(multiply(C,multiply(multiply(D,inverse(D)),inverse(multiply(E,C)))),A))),F))),multiply(G,inverse(multiply(E,multiply(F,G))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[193]),765,765]),
[iquote('back_demod(193),demod([765,765])')] ).
cnf(1089,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),inverse(multiply(D,multiply(multiply(multiply(E,inverse(E)),inverse(multiply(multiply(F,multiply(multiply(G,inverse(G)),inverse(multiply(B,F)))),D))),C)))),
inference(flip,[status(thm),theory(equality)],[1088]),
[iquote('flip(1088)')] ).
cnf(1106,plain,
equal(multiply(A,multiply(inverse(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[143]),765,765,767]),
[iquote('back_demod(143),demod([765,765,767])')] ).
cnf(1107,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))),multiply(inverse(C),inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[142]),765,765]),
[iquote('back_demod(142),demod([765,765])')] ).
cnf(1118,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),inverse(multiply(D,multiply(multiply(inverse(D),inverse(inverse(B))),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1089]),1107,1106,1107]),
[iquote('back_demod(1089),demod([1107,1106,1107])')] ).
cnf(1119,plain,
equal(inverse(multiply(A,multiply(multiply(inverse(A),inverse(inverse(B))),C))),multiply(D,inverse(multiply(B,multiply(C,D))))),
inference(flip,[status(thm),theory(equality)],[1118]),
[iquote('flip(1118)')] ).
cnf(1208,plain,
equal(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),C))),multiply(inverse(C),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[989]),1107,767,1107]),1]),
[iquote('back_demod(989),demod([1107,767,1107]),flip(1)')] ).
cnf(1260,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,A)))),multiply(inverse(C),inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1119]),1208]),1]),
[iquote('back_demod(1119),demod([1208]),flip(1)')] ).
cnf(1331,plain,
equal(multiply(A,inverse(inverse(multiply(inverse(A),B)))),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[53]),765,1260,1106,1260,767]),1]),
[iquote('back_demod(53),demod([765,1260,1106,1260,767]),flip(1)')] ).
cnf(1335,plain,
equal(inverse(multiply(inverse(inverse(A)),inverse(inverse(B)))),multiply(inverse(B),inverse(A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[34]),1107,765,1260,1107,1260,720]),1]),
[iquote('back_demod(34),demod([1107,765,1260,1107,1260,720]),flip(1)')] ).
cnf(1344,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),B),C)),inverse(multiply(D,A))),multiply(inverse(multiply(B,C)),inverse(D))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[979]),1107,1208,1107,1208,767,1107]),
[iquote('back_demod(979),demod([1107,1208,1107,1208,767,1107])')] ).
cnf(1357,plain,
equal(multiply(inverse(multiply(inverse(A),A)),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[58]),765,1107,1344]),
[iquote('back_demod(58),demod([765,1107,1344])')] ).
cnf(1361,plain,
equal(multiply(A,inverse(inverse(B))),multiply(A,B)),
inference(para,[status(thm),theory(equality)],[771,771]),
[iquote('para(771,771)')] ).
cnf(1363,plain,
equal(multiply(inverse(multiply(inverse(A),A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1357]),1361]),
[iquote('back_demod(1357),demod([1361])')] ).
cnf(1367,plain,
equal(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(B),inverse(A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1335]),1361]),
[iquote('back_demod(1335),demod([1361])')] ).
cnf(1370,plain,
equal(inverse(inverse(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1331]),1361,1106]),1]),
[iquote('back_demod(1331),demod([1361,1106]),flip(1)')] ).
cnf(1371,plain,
equal(inverse(multiply(A,B)),multiply(inverse(B),inverse(A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1367]),1370]),
[iquote('back_demod(1367),demod([1370])')] ).
cnf(1373,plain,
equal(multiply(multiply(inverse(A),A),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1363]),1371,1370]),
[iquote('back_demod(1363),demod([1371,1370])')] ).
cnf(1374,plain,
$false,
inference(conflict,[status(thm)],[1373,2]),
[iquote('conflict(1373,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP431-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % 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 19:52:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.28 ----- EQP 0.9e, May 2009 -----
% 0.88/1.28 The job began on n029.cluster.edu, Mon Jun 13 19:52:56 2022
% 0.88/1.28 The command was "./eqp09e".
% 0.88/1.28
% 0.88/1.28 set(prolog_style_variables).
% 0.88/1.28 set(lrpo).
% 0.88/1.28 set(basic_paramod).
% 0.88/1.28 set(functional_subsume).
% 0.88/1.28 set(ordered_paramod).
% 0.88/1.28 set(prime_paramod).
% 0.88/1.28 set(para_pairs).
% 0.88/1.28 assign(pick_given_ratio,4).
% 0.88/1.28 clear(print_kept).
% 0.88/1.28 clear(print_new_demod).
% 0.88/1.28 clear(print_back_demod).
% 0.88/1.28 clear(print_given).
% 0.88/1.28 assign(max_mem,64000).
% 0.88/1.28 end_of_commands.
% 0.88/1.28
% 0.88/1.28 Usable:
% 0.88/1.28 end_of_list.
% 0.88/1.28
% 0.88/1.28 Sos:
% 0.88/1.28 0 (wt=-1) [] multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D.
% 0.88/1.28 0 (wt=-1) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.88/1.28 end_of_list.
% 0.88/1.28
% 0.88/1.28 Demodulators:
% 0.88/1.28 end_of_list.
% 0.88/1.28
% 0.88/1.28 Passive:
% 0.88/1.28 end_of_list.
% 0.88/1.28
% 0.88/1.28 Starting to process input.
% 0.88/1.28
% 0.88/1.28 ** KEPT: 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D.
% 0.88/1.28 1 is a new demodulator.
% 0.88/1.28
% 0.88/1.28 ** KEPT: 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.88/1.28 ---------------- PROOF FOUND ----------------
% 0.88/1.28 % SZS status Unsatisfiable
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 After processing input:
% 0.88/1.28
% 0.88/1.28 Usable:
% 0.88/1.28 end_of_list.
% 0.88/1.28
% 0.88/1.28 Sos:
% 0.88/1.28 2 (wt=8) [] -(multiply(multiply(inverse(b2),b2),a2) = a2).
% 0.88/1.28 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D.
% 0.88/1.28 end_of_list.
% 0.88/1.28
% 0.88/1.28 Demodulators:
% 0.88/1.28 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D.
% 0.88/1.28 end_of_list.
% 0.88/1.28
% 0.88/1.28 Passive:
% 0.88/1.28 end_of_list.
% 0.88/1.28
% 0.88/1.28 UNIT CONFLICT from 1373 and 2 at 0.17 seconds.
% 0.88/1.28
% 0.88/1.28 ---------------- PROOF ----------------
% 0.88/1.28 % SZS output start Refutation
% See solution above
% 0.88/1.28 ------------ end of proof -------------
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 ------------- memory usage ------------
% 0.88/1.28 Memory dynamically allocated (tp_alloc): 4882.
% 0.88/1.28 type (bytes each) gets frees in use avail bytes
% 0.88/1.28 sym_ent ( 96) 56 0 56 0 5.2 K
% 0.88/1.28 term ( 16) 148196 94084 54112 61 1052.7 K
% 0.88/1.28 gen_ptr ( 8) 446832 95954 350878 99 2742.0 K
% 0.88/1.28 context ( 808) 91392 91390 2 4 4.7 K
% 0.88/1.28 trail ( 12) 38078 38078 0 18 0.2 K
% 0.88/1.28 bt_node ( 68) 13624 13621 3 46 3.3 K
% 0.88/1.28 ac_position (285432) 0 0 0 0 0.0 K
% 0.88/1.28 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.88/1.28 ac_match_free_vars_pos (4020)
% 0.88/1.28 0 0 0 0 0.0 K
% 0.88/1.28 discrim ( 12) 47956 45813 2143 24031 306.7 K
% 0.88/1.28 flat ( 40) 523138 523138 0 93 3.6 K
% 0.88/1.28 discrim_pos ( 12) 4739 4739 0 1 0.0 K
% 0.88/1.28 fpa_head ( 12) 6181 0 6181 0 72.4 K
% 0.88/1.28 fpa_tree ( 28) 8128 8128 0 23 0.6 K
% 0.88/1.28 fpa_pos ( 36) 2264 2264 0 1 0.0 K
% 0.88/1.28 literal ( 12) 4674 3301 1373 1 16.1 K
% 0.88/1.28 clause ( 24) 4674 3301 1373 1 32.2 K
% 0.88/1.28 list ( 12) 950 891 59 5 0.8 K
% 0.88/1.28 list_pos ( 20) 7875 5939 1936 1238 62.0 K
% 0.88/1.28 pair_index ( 40) 2 0 2 0 0.1 K
% 0.88/1.28
% 0.88/1.28 -------------- statistics -------------
% 0.88/1.28 Clauses input 2
% 0.88/1.28 Usable input 0
% 0.88/1.28 Sos input 2
% 0.88/1.28 Demodulators input 0
% 0.88/1.28 Passive input 0
% 0.88/1.28
% 0.88/1.28 Processed BS (before search) 2
% 0.88/1.28 Forward subsumed BS 0
% 0.88/1.28 Kept BS 2
% 0.88/1.28 New demodulators BS 1
% 0.88/1.28 Back demodulated BS 0
% 0.88/1.28
% 0.88/1.28 Clauses or pairs given 929
% 0.88/1.28 Clauses generated 2609
% 0.88/1.28 Forward subsumed 1238
% 0.88/1.28 Deleted by weight 0
% 0.88/1.28 Deleted by variable count 0
% 0.88/1.28 Kept 1371
% 0.88/1.28 New demodulators 890
% 0.88/1.28 Back demodulated 1225
% 0.88/1.28 Ordered paramod prunes 0
% 0.88/1.28 Basic paramod prunes 8564
% 0.88/1.28 Prime paramod prunes 0
% 0.88/1.28 Semantic prunes 0
% 0.88/1.28
% 0.88/1.28 Rewrite attmepts 66453
% 0.88/1.28 Rewrites 4108
% 0.88/1.28
% 0.88/1.28 FPA overloads 0
% 0.88/1.28 FPA underloads 0
% 0.88/1.28
% 0.88/1.28 Usable size 0
% 0.88/1.28 Sos size 147
% 0.88/1.28 Demodulators size 93
% 0.88/1.28 Passive size 0
% 0.88/1.28 Disabled size 1225
% 0.88/1.28
% 0.88/1.28 Proofs found 1
% 0.88/1.28
% 0.88/1.28 ----------- times (seconds) ----------- Mon Jun 13 19:52:56 2022
% 0.88/1.28
% 0.88/1.28 user CPU time 0.17 (0 hr, 0 min, 0 sec)
% 0.88/1.28 system CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.88/1.28 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.88/1.28 input time 0.00
% 0.88/1.28 paramodulation time 0.01
% 0.88/1.28 demodulation time 0.03
% 0.88/1.28 orient time 0.01
% 0.88/1.28 weigh time 0.00
% 0.88/1.28 forward subsume time 0.00
% 0.88/1.28 back demod find time 0.02
% 0.88/1.28 conflict time 0.00
% 0.88/1.28 LRPO time 0.00
% 0.88/1.28 store clause time 0.06
% 0.88/1.28 disable clause time 0.01
% 0.88/1.28 prime paramod time 0.01
% 0.88/1.28 semantics time 0.00
% 0.88/1.28
% 0.88/1.28 EQP interrupted
%------------------------------------------------------------------------------