TSTP Solution File: GRP438-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP438-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n005.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 08:47:10 EDT 2022
% Result : Unsatisfiable 1.32s 1.70s
% Output : Refutation 1.32s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))),D),
file('GRP438-1.p',unknown),
[] ).
cnf(2,plain,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP438-1.p',unknown),
[] ).
cnf(3,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),E)))),multiply(F,multiply(multiply(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(B,multiply(multiply(inverse(B),inverse(multiply(C,D))),inverse(E))),multiply(E,multiply(C,A))))),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(5,plain,
equal(multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),multiply(inverse(D),inverse(multiply(E,F))))))),inverse(multiply(F,multiply(D,C)))),E),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(6,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),E)))),multiply(F,multiply(multiply(inverse(F),inverse(D)),G)))),multiply(H,multiply(multiply(inverse(H),inverse(E)),A))))),G),
inference(para,[status(thm),theory(equality)],[3,1]),
[iquote('para(3,1)')] ).
cnf(7,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,multiply(E,A))))),inverse(multiply(F,multiply(G,multiply(multiply(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(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(E,inverse(multiply(multiply(F,multiply(multiply(inverse(F),inverse(C)),inverse(G))),multiply(G,multiply(D,E)))))),
inference(flip,[status(thm),theory(equality)],[7]),
[iquote('flip(7)')] ).
cnf(11,plain,
equal(multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),multiply(inverse(D),inverse(E)))))),inverse(multiply(inverse(multiply(F,multiply(G,multiply(multiply(inverse(G),inverse(multiply(E,F))),H)))),multiply(D,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(D))),multiply(D,multiply(E,A))))),multiply(F,multiply(multiply(inverse(F),inverse(multiply(C,E))),inverse(B)))),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(21,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(E,multiply(multiply(inverse(E),inverse(C)),F)))),inverse(multiply(multiply(G,multiply(multiply(inverse(G),inverse(multiply(F,H))),inverse(I))),multiply(I,D)))),H),
inference(para,[status(thm),theory(equality)],[3,4]),
[iquote('para(3,4)')] ).
cnf(25,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,multiply(E,multiply(B,inverse(C))))))))),inverse(E))),D),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,14]),1]),
[iquote('para(1,14),flip(1)')] ).
cnf(29,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(B,multiply(C,D))),multiply(E,multiply(multiply(inverse(E),inverse(F)),A))))),inverse(multiply(G,multiply(H,multiply(multiply(inverse(H),inverse(multiply(D,G))),multiply(inverse(C),inverse(multiply(F,B)))))))),
inference(para,[status(thm),theory(equality)],[5,1]),
[iquote('para(5,1)')] ).
cnf(30,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),multiply(inverse(D),inverse(multiply(E,F))))))),multiply(G,inverse(multiply(inverse(multiply(F,multiply(D,C))),multiply(H,multiply(multiply(inverse(H),inverse(E)),G)))))),
inference(flip,[status(thm),theory(equality)],[29]),
[iquote('flip(29)')] ).
cnf(35,plain,
equal(multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(A,multiply(D,inverse(B)))))),C))),D),
inference(para,[status(thm),theory(equality)],[25,1]),
[iquote('para(25,1)')] ).
cnf(37,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,multiply(D,A))))),multiply(inverse(E),inverse(multiply(B,multiply(C,multiply(D,inverse(E))))))),
inference(para,[status(thm),theory(equality)],[35,1]),
[iquote('para(35,1)')] ).
cnf(38,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,inverse(A)))))),multiply(E,inverse(multiply(B,multiply(C,multiply(D,E)))))),
inference(flip,[status(thm),theory(equality)],[37]),
[iquote('flip(37)')] ).
cnf(49,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(D))),multiply(D,multiply(multiply(E,inverse(multiply(F,multiply(B,multiply(C,E))))),A))))),F),
inference(para,[status(thm),theory(equality)],[38,1]),
[iquote('para(38,1)')] ).
cnf(57,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,multiply(E,A))))),inverse(multiply(inverse(multiply(F,multiply(G,multiply(multiply(inverse(G),inverse(multiply(H,F))),C)))),multiply(I,multiply(multiply(inverse(I),inverse(H)),E))))),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(58,plain,
equal(inverse(multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(E,multiply(multiply(inverse(E),inverse(C)),F)))),multiply(G,inverse(multiply(multiply(H,multiply(multiply(inverse(H),inverse(D)),inverse(I))),multiply(I,multiply(F,G)))))),
inference(flip,[status(thm),theory(equality)],[57]),
[iquote('flip(57)')] ).
cnf(65,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(C,inverse(multiply(D,multiply(E,multiply(F,C))))),inverse(G))),multiply(G,multiply(D,A))))),multiply(E,multiply(F,inverse(B)))),
inference(para,[status(thm),theory(equality)],[49,1]),
[iquote('para(49,1)')] ).
cnf(109,plain,
equal(multiply(inverse(multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(E,multiply(multiply(inverse(E),inverse(C)),F)))),inverse(multiply(multiply(G,multiply(multiply(inverse(G),inverse(H)),inverse(I))),multiply(I,D)))),inverse(multiply(J,multiply(K,multiply(multiply(inverse(K),inverse(multiply(H,J))),F))))),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(110,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(inverse(multiply(inverse(multiply(E,multiply(F,multiply(multiply(inverse(F),inverse(multiply(G,E))),H)))),multiply(I,multiply(multiply(inverse(I),inverse(G)),D)))),inverse(multiply(multiply(J,multiply(multiply(inverse(J),inverse(C)),inverse(K))),multiply(K,H))))),
inference(flip,[status(thm),theory(equality)],[109]),
[iquote('flip(109)')] ).
cnf(118,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,D),A))),C)))),D),
inference(para,[status(thm),theory(equality)],[7,4]),
[iquote('para(7,4)')] ).
cnf(122,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(multiply(multiply(C,D),E))),C)),multiply(F,multiply(multiply(inverse(F),D),A))))),E),
inference(para,[status(thm),theory(equality)],[118,1]),
[iquote('para(118,1)')] ).
cnf(141,plain,
equal(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(E))),multiply(E,multiply(A,B)))))),D),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(146,plain,
equal(multiply(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(A)))))),B),D),
inference(para,[status(thm),theory(equality)],[1,141]),
[iquote('para(1,141)')] ).
cnf(149,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,C)))),A),
inference(para,[status(thm),theory(equality)],[146,1]),
[iquote('para(146,1)')] ).
cnf(154,plain,
equal(multiply(A,inverse(multiply(multiply(B,C),multiply(D,multiply(inverse(D),A))))),multiply(E,multiply(multiply(inverse(E),inverse(C)),inverse(B)))),
inference(para,[status(thm),theory(equality)],[149,1]),
[iquote('para(149,1)')] ).
cnf(165,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B))),inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(multiply(E,F))),inverse(G))),multiply(G,E)))),F),
inference(para,[status(thm),theory(equality)],[149,4]),
[iquote('para(149,4)')] ).
cnf(167,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B))),inverse(multiply(D,multiply(E,F)))),multiply(inverse(G),inverse(multiply(D,multiply(E,multiply(F,inverse(G))))))),
inference(para,[status(thm),theory(equality)],[149,37]),
[iquote('para(149,37)')] ).
cnf(168,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,inverse(A)))))),multiply(inverse(multiply(multiply(E,multiply(multiply(inverse(E),inverse(F)),inverse(G))),multiply(G,F))),inverse(multiply(B,multiply(C,D))))),
inference(flip,[status(thm),theory(equality)],[167]),
[iquote('flip(167)')] ).
cnf(177,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(inverse(B),inverse(C))),multiply(C,multiply(multiply(D,multiply(multiply(inverse(D),inverse(E)),inverse(F))),A))))),multiply(F,E)),
inference(para,[status(thm),theory(equality)],[154,1]),
[iquote('para(154,1)')] ).
cnf(208,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B))),inverse(multiply(multiply(D,E),multiply(F,inverse(F))))),multiply(G,multiply(multiply(inverse(G),inverse(E)),inverse(D)))),
inference(para,[status(thm),theory(equality)],[149,154]),
[iquote('para(149,154)')] ).
cnf(209,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(E)),inverse(F))),multiply(F,E))),inverse(multiply(multiply(C,B),multiply(G,inverse(G)))))),
inference(flip,[status(thm),theory(equality)],[208]),
[iquote('flip(208)')] ).
cnf(210,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(inverse(C),D))),inverse(C)))),inverse(B))),D),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[149,154]),1]),
[iquote('para(149,154),flip(1)')] ).
cnf(243,plain,
equal(multiply(multiply(multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(inverse(C),D))),inverse(C)))),inverse(B)),inverse(multiply(E,multiply(F,D)))),multiply(inverse(G),inverse(multiply(E,multiply(F,multiply(A,inverse(G))))))),
inference(para,[status(thm),theory(equality)],[210,37]),
[iquote('para(210,37)')] ).
cnf(244,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,inverse(A)))))),multiply(multiply(multiply(inverse(D),inverse(multiply(multiply(inverse(E),inverse(multiply(inverse(F),G))),inverse(F)))),inverse(E)),inverse(multiply(B,multiply(C,G))))),
inference(flip,[status(thm),theory(equality)],[243]),
[iquote('flip(243)')] ).
cnf(245,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(multiply(inverse(D),inverse(multiply(inverse(E),F))),inverse(E)))),inverse(A)))))),multiply(inverse(D),inverse(multiply(B,F)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[210,37]),1]),
[iquote('para(210,37),flip(1)')] ).
cnf(294,plain,
equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),E)))),multiply(F,G))),multiply(H,multiply(multiply(inverse(H),inverse(E)),A))))),inverse(multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(G,I))),multiply(inverse(F),inverse(D))))))),
inference(para,[status(thm),theory(equality)],[11,1]),
[iquote('para(11,1)')] ).
cnf(295,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),multiply(inverse(D),inverse(E)))))),multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(G,multiply(H,multiply(multiply(inverse(H),inverse(multiply(E,G))),I)))),multiply(D,C))),multiply(J,multiply(multiply(inverse(J),inverse(I)),F)))))),
inference(flip,[status(thm),theory(equality)],[294]),
[iquote('flip(294)')] ).
cnf(322,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,D))),C)),multiply(E,multiply(inverse(E),A))))),D),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[149,122]),149]),
[iquote('para(149,122),demod([149])')] ).
cnf(327,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(inverse(B),inverse(C))),multiply(C,multiply(D,A))))),multiply(E,multiply(multiply(inverse(E),inverse(multiply(F,D))),F))),
inference(para,[status(thm),theory(equality)],[322,1]),
[iquote('para(322,1)')] ).
cnf(328,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),B)),multiply(D,inverse(multiply(multiply(E,multiply(inverse(E),inverse(F))),multiply(F,multiply(C,D)))))),
inference(flip,[status(thm),theory(equality)],[327]),
[iquote('flip(327)')] ).
cnf(351,plain,
equal(multiply(A,multiply(inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,D))),C)),multiply(E,multiply(inverse(E),A)))),inverse(multiply(multiply(F,multiply(multiply(inverse(F),inverse(G)),inverse(H))),multiply(H,D))))),G),
inference(para,[status(thm),theory(equality)],[322,141]),
[iquote('para(322,141)')] ).
cnf(364,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,multiply(E,multiply(inverse(E),inverse(C))))))))),B)),D),
inference(para,[status(thm),theory(equality)],[327,1]),
[iquote('para(327,1)')] ).
cnf(371,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(inverse(D),inverse(B)))))),C))),A),
inference(para,[status(thm),theory(equality)],[364,1]),
[iquote('para(364,1)')] ).
cnf(373,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,multiply(inverse(C),A))))),multiply(inverse(D),inverse(multiply(B,multiply(E,multiply(inverse(E),inverse(D))))))),
inference(para,[status(thm),theory(equality)],[371,1]),
[iquote('para(371,1)')] ).
cnf(374,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(A)))))),multiply(D,inverse(multiply(B,multiply(E,multiply(inverse(E),D)))))),
inference(flip,[status(thm),theory(equality)],[373]),
[iquote('flip(373)')] ).
cnf(407,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(inverse(B),inverse(C))),multiply(C,multiply(multiply(D,inverse(multiply(E,multiply(F,multiply(inverse(F),D))))),A))))),E),
inference(para,[status(thm),theory(equality)],[374,1]),
[iquote('para(374,1)')] ).
cnf(417,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B))),inverse(multiply(D,multiply(E,inverse(E))))),multiply(inverse(F),inverse(multiply(D,multiply(G,multiply(inverse(G),inverse(F))))))),
inference(para,[status(thm),theory(equality)],[149,373]),
[iquote('para(149,373)')] ).
cnf(418,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(A)))))),multiply(inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(E)),inverse(F))),multiply(F,E))),inverse(multiply(B,multiply(G,inverse(G)))))),
inference(flip,[status(thm),theory(equality)],[417]),
[iquote('flip(417)')] ).
cnf(458,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,multiply(inverse(D),inverse(E))),multiply(E,multiply(B,C)))))))),A),
inference(para,[status(thm),theory(equality)],[328,1]),
[iquote('para(328,1)')] ).
cnf(461,plain,
equal(multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(inverse(C),inverse(D))),multiply(D,multiply(A,B))))))),inverse(multiply(E,multiply(F,multiply(inverse(F),inverse(multiply(G,E))))))),G),
inference(para,[status(thm),theory(equality)],[458,1]),
[iquote('para(458,1)')] ).
cnf(483,plain,
equal(multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(inverse(C),inverse(D))),multiply(D,multiply(A,B))))))),inverse(multiply(multiply(E,multiply(multiply(inverse(E),inverse(multiply(F,G))),inverse(H))),multiply(H,F)))),G),
inference(para,[status(thm),theory(equality)],[458,4]),
[iquote('para(458,4)')] ).
cnf(507,plain,
equal(multiply(A,multiply(inverse(A),inverse(B))),multiply(C,multiply(inverse(C),inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[407,1]),65]),
[iquote('para(407,1),demod([65])')] ).
cnf(518,plain,
equal(multiply(A,multiply(inverse(A),B)),multiply(C,multiply(inverse(C),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[118,507]),118]),
[iquote('para(118,507),demod([118])')] ).
cnf(530,plain,
equal(multiply(A,inverse(A)),multiply(B,inverse(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[149,518]),149]),
[iquote('para(149,518),demod([149])')] ).
cnf(536,plain,
equal(multiply(A,multiply(B,inverse(B))),multiply(C,multiply(inverse(C),inverse(inverse(A))))),
inference(para,[status(thm),theory(equality)],[530,518]),
[iquote('para(530,518)')] ).
cnf(539,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(C,D))),C))),inverse(B))),D),
inference(para,[status(thm),theory(equality)],[14,4]),
[iquote('para(14,4)')] ).
cnf(542,plain,
equal(multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,inverse(D)))),A))))),B),
inference(para,[status(thm),theory(equality)],[530,1]),
[iquote('para(530,1)')] ).
cnf(547,plain,
equal(multiply(A,multiply(B,multiply(inverse(B),inverse(inverse(inverse(A)))))),multiply(C,multiply(inverse(C),multiply(D,inverse(D))))),
inference(para,[status(thm),theory(equality)],[536,518]),
[iquote('para(536,518)')] ).
cnf(548,plain,
equal(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))),multiply(C,multiply(D,multiply(inverse(D),inverse(inverse(inverse(C))))))),
inference(flip,[status(thm),theory(equality)],[547]),
[iquote('flip(547)')] ).
cnf(551,plain,
equal(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B)),multiply(D,inverse(D))),
inference(para,[status(thm),theory(equality)],[149,530]),
[iquote('para(149,530)')] ).
cnf(552,plain,
equal(multiply(A,inverse(A)),multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,C))),
inference(flip,[status(thm),theory(equality)],[551]),
[iquote('flip(551)')] ).
cnf(566,plain,
equal(multiply(inverse(multiply(inverse(A),inverse(multiply(B,inverse(B))))),inverse(multiply(inverse(C),multiply(A,multiply(D,inverse(D)))))),C),
inference(para,[status(thm),theory(equality)],[530,542]),
[iquote('para(530,542)')] ).
cnf(616,plain,
equal(multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,multiply(inverse(D),inverse(inverse(E)))))),A))))),E),
inference(para,[status(thm),theory(equality)],[536,1]),
[iquote('para(536,1)')] ).
cnf(623,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(E,inverse(B)))))),C)))),multiply(D,E)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[35,518]),1]),
[iquote('para(35,518),flip(1)')] ).
cnf(627,plain,
equal(multiply(A,multiply(inverse(A),multiply(multiply(inverse(inverse(B)),inverse(multiply(multiply(inverse(C),inverse(multiply(D,E))),D))),inverse(C)))),multiply(B,E)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[539,518]),1]),
[iquote('para(539,518),flip(1)')] ).
cnf(630,plain,
equal(multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(multiply(inverse(inverse(inverse(C))),inverse(multiply(D,inverse(D)))),A))))),C),
inference(para,[status(thm),theory(equality)],[518,542]),
[iquote('para(518,542)')] ).
cnf(669,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(inverse(inverse(B))))))),multiply(D,multiply(inverse(D),multiply(inverse(inverse(A)),multiply(E,inverse(E)))))),
inference(para,[status(thm),theory(equality)],[548,518]),
[iquote('para(548,518)')] ).
cnf(670,plain,
equal(multiply(A,multiply(inverse(A),multiply(inverse(inverse(B)),multiply(C,inverse(C))))),multiply(B,multiply(D,multiply(E,multiply(inverse(E),inverse(inverse(inverse(D)))))))),
inference(flip,[status(thm),theory(equality)],[669]),
[iquote('flip(669)')] ).
cnf(726,plain,
equal(multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),C),multiply(D,multiply(inverse(D),inverse(multiply(inverse(C),multiply(A,multiply(E,inverse(E)))))))),
inference(para,[status(thm),theory(equality)],[566,518]),
[iquote('para(566,518)')] ).
cnf(727,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,multiply(D,inverse(D))))))),multiply(multiply(inverse(C),inverse(multiply(E,inverse(E)))),B)),
inference(flip,[status(thm),theory(equality)],[726]),
[iquote('flip(726)')] ).
cnf(734,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),multiply(multiply(inverse(inverse(inverse(C))),inverse(multiply(D,inverse(D)))),inverse(E))))))),multiply(E,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[630,518]),1]),
[iquote('para(630,518),flip(1)')] ).
cnf(750,plain,
equal(multiply(inverse(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),inverse(inverse(C))))))),inverse(multiply(multiply(D,inverse(D)),multiply(A,multiply(E,inverse(E)))))),C),
inference(para,[status(thm),theory(equality)],[530,616]),
[iquote('para(530,616)')] ).
cnf(780,plain,
equal(multiply(A,multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(E,inverse(B))))))),multiply(F,multiply(inverse(F),inverse(multiply(C,multiply(D,multiply(E,inverse(A)))))))),
inference(para,[status(thm),theory(equality)],[37,518]),
[iquote('para(37,518)')] ).
cnf(781,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,inverse(E))))))),multiply(E,multiply(inverse(F),inverse(multiply(B,multiply(C,multiply(D,inverse(F)))))))),
inference(flip,[status(thm),theory(equality)],[780]),
[iquote('flip(780)')] ).
cnf(784,plain,
equal(multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,A))))),multiply(inverse(D),inverse(multiply(E,multiply(inverse(E),multiply(C,inverse(D))))))),
inference(para,[status(thm),theory(equality)],[518,37]),
[iquote('para(518,37)')] ).
cnf(785,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),multiply(C,inverse(A)))))),multiply(D,inverse(multiply(E,multiply(inverse(E),multiply(C,D)))))),
inference(flip,[status(thm),theory(equality)],[784]),
[iquote('flip(784)')] ).
cnf(786,plain,
equal(multiply(A,multiply(B,inverse(multiply(C,multiply(D,multiply(E,B)))))),multiply(F,multiply(inverse(F),inverse(multiply(C,multiply(D,multiply(E,inverse(A)))))))),
inference(para,[status(thm),theory(equality)],[38,518]),
[iquote('para(38,518)')] ).
cnf(792,plain,
equal(multiply(A,multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(E))),multiply(E,multiply(inverse(F),B))))))),multiply(F,D)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[141,518]),1]),
[iquote('para(141,518),flip(1)')] ).
cnf(858,plain,
equal(multiply(A,multiply(inverse(B),inverse(multiply(C,multiply(D,multiply(E,inverse(E))))))),multiply(F,multiply(inverse(F),inverse(multiply(C,multiply(D,multiply(B,inverse(A)))))))),
inference(para,[status(thm),theory(equality)],[530,786]),
[iquote('para(530,786)')] ).
cnf(859,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,inverse(E))))))),multiply(E,multiply(inverse(D),inverse(multiply(B,multiply(C,multiply(F,inverse(F)))))))),
inference(flip,[status(thm),theory(equality)],[858]),
[iquote('flip(858)')] ).
cnf(877,plain,
equal(multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(inverse(C),A))))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[552,1]),149]),
[iquote('para(552,1),demod([149])')] ).
cnf(879,plain,
equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),multiply(A,multiply(C,inverse(C)))))),B),
inference(para,[status(thm),theory(equality)],[530,877]),
[iquote('para(530,877)')] ).
cnf(886,plain,
equal(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),multiply(C,multiply(D,multiply(inverse(D),inverse(inverse(inverse(C))))))))),B),
inference(para,[status(thm),theory(equality)],[536,877]),
[iquote('para(536,877)')] ).
cnf(891,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),multiply(C,multiply(D,inverse(D))))))),multiply(inverse(C),B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[879,518]),1]),
[iquote('para(879,518),flip(1)')] ).
cnf(894,plain,
equal(multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),C),multiply(inverse(A),C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[727]),891]),1]),
[iquote('back_demod(727),demod([891]),flip(1)')] ).
cnf(897,plain,
equal(multiply(A,multiply(inverse(A),inverse(multiply(B,multiply(inverse(B),multiply(inverse(inverse(inverse(C))),inverse(D))))))),multiply(D,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[734]),894]),
[iquote('back_demod(734),demod([894])')] ).
cnf(960,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(inverse(B),inverse(C))),multiply(C,multiply(D,A))))),inverse(D)),
inference(para,[status(thm),theory(equality)],[877,1]),
[iquote('para(877,1)')] ).
cnf(969,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,D))),inverse(E))),multiply(E,C)))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[483]),960]),
[iquote('back_demod(483),demod([960])')] ).
cnf(972,plain,
equal(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(D,B))))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[461]),960]),
[iquote('back_demod(461),demod([960])')] ).
cnf(974,plain,
equal(multiply(A,inverse(multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[458]),960]),
[iquote('back_demod(458),demod([960])')] ).
cnf(977,plain,
equal(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(inverse(C),A)))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[407]),960]),
[iquote('back_demod(407),demod([960])')] ).
cnf(981,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),B)),inverse(C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[328]),960]),
[iquote('back_demod(328),demod([960])')] ).
cnf(1000,plain,
equal(multiply(A,multiply(inverse(multiply(inverse(B),multiply(C,multiply(inverse(C),A)))),inverse(multiply(multiply(D,multiply(multiply(inverse(D),inverse(E)),inverse(F))),multiply(F,B))))),E),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[351]),981]),
[iquote('back_demod(351),demod([981])')] ).
cnf(1013,plain,
equal(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C)))),multiply(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[177]),960]),
[iquote('back_demod(177),demod([960])')] ).
cnf(1027,plain,
equal(inverse(multiply(A,multiply(multiply(B,inverse(B)),inverse(C)))),multiply(C,inverse(A))),
inference(para,[status(thm),theory(equality)],[530,1013]),
[iquote('para(530,1013)')] ).
cnf(1028,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),multiply(multiply(inverse(A),inverse(C)),C)),
inference(para,[status(thm),theory(equality)],[530,1013]),
[iquote('para(530,1013)')] ).
cnf(1029,plain,
equal(multiply(multiply(inverse(A),inverse(B)),B),inverse(multiply(A,multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[1028]),
[iquote('flip(1028)')] ).
cnf(1032,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(B)))),multiply(multiply(C,inverse(C)),B)),
inference(para,[status(thm),theory(equality)],[974,1013]),
[iquote('para(974,1013)')] ).
cnf(1033,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(multiply(C,multiply(inverse(C),inverse(B))))),
inference(flip,[status(thm),theory(equality)],[1032]),
[iquote('flip(1032)')] ).
cnf(1036,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),multiply(multiply(C,inverse(C)),inverse(A))),
inference(para,[status(thm),theory(equality)],[530,1027]),
[iquote('para(530,1027)')] ).
cnf(1043,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),multiply(inverse(A),inverse(inverse(multiply(C,inverse(C)))))),
inference(para,[status(thm),theory(equality)],[1029,974]),
[iquote('para(1029,974)')] ).
cnf(1044,plain,
equal(multiply(inverse(A),inverse(inverse(multiply(B,inverse(B))))),inverse(multiply(A,multiply(C,inverse(C))))),
inference(flip,[status(thm),theory(equality)],[1043]),
[iquote('flip(1043)')] ).
cnf(1058,plain,
equal(multiply(A,multiply(B,inverse(multiply(B,multiply(C,inverse(C)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1036,974]),1027]),
[iquote('para(1036,974),demod([1027])')] ).
cnf(1087,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D))),multiply(D,E))),inverse(multiply(multiply(F,multiply(multiply(inverse(F),inverse(G)),inverse(H))),multiply(H,C)))),inverse(multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(G,I))),inverse(multiply(inverse(multiply(K,multiply(L,multiply(multiply(inverse(L),inverse(multiply(M,K))),E)))),multiply(N,multiply(multiply(inverse(N),inverse(M)),B))))))))),
inference(para,[status(thm),theory(equality)],[21,7]),
[iquote('para(21,7)')] ).
cnf(1088,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),inverse(multiply(inverse(multiply(D,multiply(E,multiply(multiply(inverse(E),inverse(multiply(F,D))),G)))),multiply(H,multiply(multiply(inverse(H),inverse(F)),I)))))))),multiply(inverse(multiply(multiply(J,multiply(multiply(inverse(J),inverse(multiply(I,K))),inverse(L))),multiply(L,G))),inverse(multiply(multiply(M,multiply(multiply(inverse(M),inverse(C)),inverse(N))),multiply(N,K))))),
inference(flip,[status(thm),theory(equality)],[1087]),
[iquote('flip(1087)')] ).
cnf(1113,plain,
equal(multiply(inverse(multiply(inverse(A),multiply(B,inverse(B)))),inverse(multiply(inverse(C),A))),C),
inference(para,[status(thm),theory(equality)],[1058,877]),
[iquote('para(1058,877)')] ).
cnf(1116,plain,
equal(inverse(multiply(inverse(inverse(inverse(A))),multiply(B,inverse(B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[530,1113]),974]),
[iquote('para(530,1113),demod([974])')] ).
cnf(1121,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(inverse(inverse(B)))))))),B),
inference(para,[status(thm),theory(equality)],[518,1116]),
[iquote('para(518,1116)')] ).
cnf(1122,plain,
equal(multiply(multiply(inverse(inverse(inverse(A))),multiply(B,inverse(B))),multiply(A,C)),multiply(D,multiply(inverse(D),C))),
inference(para,[status(thm),theory(equality)],[1116,518]),
[iquote('para(1116,518)')] ).
cnf(1123,plain,
equal(multiply(A,multiply(inverse(A),B)),multiply(multiply(inverse(inverse(inverse(C))),multiply(D,inverse(D))),multiply(C,B))),
inference(flip,[status(thm),theory(equality)],[1122]),
[iquote('flip(1122)')] ).
cnf(1128,plain,
equal(multiply(A,multiply(inverse(inverse(inverse(B))),B)),A),
inference(para,[status(thm),theory(equality)],[1116,1058]),
[iquote('para(1116,1058)')] ).
cnf(1129,plain,
equal(multiply(A,inverse(inverse(inverse(inverse(multiply(B,inverse(B))))))),A),
inference(para,[status(thm),theory(equality)],[974,1128]),
[iquote('para(974,1128)')] ).
cnf(1150,plain,
equal(multiply(A,multiply(inverse(A),B)),inverse(inverse(B))),
inference(para,[status(thm),theory(equality)],[518,1128]),
[iquote('para(518,1128)')] ).
cnf(1151,plain,
equal(inverse(inverse(A)),multiply(B,multiply(inverse(B),A))),
inference(flip,[status(thm),theory(equality)],[1150]),
[iquote('flip(1150)')] ).
cnf(1159,plain,
equal(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A)))))))),A),
inference(para,[status(thm),theory(equality)],[1150,1116]),
[iquote('para(1150,1116)')] ).
cnf(1190,plain,
equal(multiply(A,multiply(B,inverse(inverse(inverse(inverse(inverse(B))))))),A),
inference(para,[status(thm),theory(equality)],[1150,1058]),
[iquote('para(1150,1058)')] ).
cnf(1191,plain,
equal(inverse(inverse(inverse(multiply(inverse(A),multiply(B,inverse(B)))))),A),
inference(para,[status(thm),theory(equality)],[1150,1058]),
[iquote('para(1150,1058)')] ).
cnf(1199,plain,
equal(multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(inverse(inverse(B))))))),A),
inference(para,[status(thm),theory(equality)],[1151,1190]),
[iquote('para(1151,1190)')] ).
cnf(1200,plain,
equal(multiply(multiply(A,inverse(A)),inverse(inverse(B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[886]),1199]),
[iquote('back_demod(886),demod([1199])')] ).
cnf(1201,plain,
equal(multiply(A,multiply(inverse(A),multiply(inverse(inverse(B)),multiply(C,inverse(C))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[670]),1199]),
[iquote('back_demod(670),demod([1199])')] ).
cnf(1212,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(inverse(inverse(inverse(inverse(inverse(B))))))),
inference(para,[status(thm),theory(equality)],[1159,1200]),
[iquote('para(1159,1200)')] ).
cnf(1213,plain,
equal(inverse(inverse(inverse(inverse(inverse(inverse(A)))))),multiply(multiply(B,inverse(B)),A)),
inference(flip,[status(thm),theory(equality)],[1212]),
[iquote('flip(1212)')] ).
cnf(1218,plain,
equal(inverse(inverse(multiply(A,inverse(A)))),multiply(B,inverse(B))),
inference(para,[status(thm),theory(equality)],[1200,1129]),
[iquote('para(1200,1129)')] ).
cnf(1226,plain,
equal(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1218,1200]),974]),
[iquote('para(1218,1200),demod([974])')] ).
cnf(1232,plain,
equal(multiply(A,inverse(inverse(multiply(B,inverse(B))))),A),
inference(para,[status(thm),theory(equality)],[1226,974]),
[iquote('para(1226,974)')] ).
cnf(1234,plain,
equal(inverse(multiply(A,multiply(B,inverse(B)))),inverse(A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1044]),1232]),1]),
[iquote('back_demod(1044),demod([1232]),flip(1)')] ).
cnf(1236,plain,
equal(inverse(inverse(inverse(inverse(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1191]),1234]),
[iquote('back_demod(1191),demod([1234])')] ).
cnf(1237,plain,
equal(inverse(inverse(A)),multiply(multiply(B,inverse(B)),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1213]),1236]),
[iquote('back_demod(1213),demod([1236])')] ).
cnf(1238,plain,
equal(multiply(multiply(A,inverse(A)),B),inverse(inverse(B))),
inference(flip,[status(thm),theory(equality)],[1237]),
[iquote('flip(1237)')] ).
cnf(1243,plain,
equal(multiply(A,multiply(B,inverse(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1190]),1236]),
[iquote('back_demod(1190),demod([1236])')] ).
cnf(1244,plain,
equal(multiply(A,multiply(inverse(A),inverse(inverse(B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1201]),1243]),
[iquote('back_demod(1201),demod([1243])')] ).
cnf(1246,plain,
equal(inverse(multiply(A,multiply(inverse(A),inverse(B)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1121]),1236]),
[iquote('back_demod(1121),demod([1236])')] ).
cnf(1247,plain,
equal(multiply(multiply(A,inverse(A)),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1033]),1246]),
[iquote('back_demod(1033),demod([1246])')] ).
cnf(1248,plain,
equal(inverse(inverse(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1238]),1247]),1]),
[iquote('back_demod(1238),demod([1247]),flip(1)')] ).
cnf(1249,plain,
equal(multiply(A,multiply(inverse(A),B)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1244]),1248]),
[iquote('back_demod(1244),demod([1248])')] ).
cnf(1254,plain,
equal(multiply(inverse(A),multiply(A,B)),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1123]),1249,1248,1243]),1]),
[iquote('back_demod(1123),demod([1249,1248,1243]),flip(1)')] ).
cnf(1262,plain,
equal(multiply(A,multiply(inverse(multiply(inverse(B),A)),inverse(multiply(multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(E))),multiply(E,B))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1000]),1249]),
[iquote('back_demod(1000),demod([1249])')] ).
cnf(1273,plain,
equal(inverse(multiply(A,inverse(multiply(B,A)))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[977]),1249]),
[iquote('back_demod(977),demod([1249])')] ).
cnf(1274,plain,
equal(multiply(inverse(multiply(A,inverse(A))),B),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[972]),1249,1273]),
[iquote('back_demod(972),demod([1249,1273])')] ).
cnf(1277,plain,
equal(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D))),multiply(D,B))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[969]),1274]),
[iquote('back_demod(969),demod([1274])')] ).
cnf(1278,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),multiply(C,B))),D),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[165]),1277]),
[iquote('back_demod(165),demod([1277])')] ).
cnf(1279,plain,
equal(multiply(inverse(A),inverse(multiply(B,inverse(A)))),inverse(B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[418]),1249,1243,1278]),
[iquote('back_demod(418),demod([1249,1243,1278])')] ).
cnf(1286,plain,
equal(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),inverse(multiply(C,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[209]),1243,1278]),
[iquote('back_demod(209),demod([1243,1278])')] ).
cnf(1287,plain,
equal(inverse(multiply(A,B)),multiply(C,multiply(multiply(inverse(C),inverse(B)),inverse(A)))),
inference(flip,[status(thm),theory(equality)],[1286]),
[iquote('flip(1286)')] ).
cnf(1291,plain,
equal(multiply(inverse(A),inverse(multiply(B,multiply(C,multiply(D,inverse(A)))))),inverse(multiply(B,multiply(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[168]),1278]),
[iquote('back_demod(168),demod([1278])')] ).
cnf(1297,plain,
equal(multiply(A,inverse(multiply(B,A))),inverse(B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[785]),1249,1279,1249]),1]),
[iquote('back_demod(785),demod([1249,1279,1249]),flip(1)')] ).
cnf(1302,plain,
equal(inverse(multiply(A,multiply(B,multiply(C,inverse(D))))),multiply(D,inverse(multiply(A,multiply(B,C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[781]),1249,1291]),
[iquote('back_demod(781),demod([1249,1291])')] ).
cnf(1326,plain,
equal(multiply(multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(E,multiply(multiply(inverse(E),inverse(C)),F))),G),multiply(inverse(multiply(multiply(H,multiply(multiply(inverse(H),inverse(multiply(F,I))),inverse(J))),multiply(J,D))),inverse(multiply(multiply(K,multiply(multiply(inverse(K),inverse(G)),inverse(L))),multiply(L,I))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1088]),1302,1249,1297,1248]),
[iquote('back_demod(1088),demod([1302,1249,1297,1248])')] ).
cnf(1327,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D))),multiply(D,E))),inverse(multiply(multiply(F,multiply(multiply(inverse(F),inverse(G)),inverse(H))),multiply(H,C)))),multiply(multiply(inverse(multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(K,I))),E)))),multiply(L,multiply(multiply(inverse(L),inverse(K)),B))),G)),
inference(flip,[status(thm),theory(equality)],[1326]),
[iquote('flip(1326)')] ).
cnf(1345,plain,
equal(inverse(multiply(inverse(A),inverse(B))),multiply(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[897]),1248,1249,1249]),
[iquote('back_demod(897),demod([1248,1249,1249])')] ).
cnf(1357,plain,
equal(multiply(multiply(A,B),inverse(B)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[750]),1248,1249,1345,1243,1247]),
[iquote('back_demod(750),demod([1248,1249,1345,1243,1247])')] ).
cnf(1381,plain,
equal(inverse(multiply(inverse(A),B)),multiply(inverse(B),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[891]),1243,1249]),
[iquote('back_demod(891),demod([1243,1249])')] ).
cnf(1409,plain,
equal(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(E))),multiply(E,B))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1262]),1381]),
[iquote('back_demod(1262),demod([1381])')] ).
cnf(1716,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),multiply(inverse(D),inverse(E)))))),multiply(F,inverse(multiply(multiply(inverse(multiply(D,C)),multiply(G,multiply(H,multiply(multiply(inverse(H),inverse(multiply(E,G))),I)))),multiply(J,multiply(multiply(inverse(J),inverse(I)),F)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[295]),1381]),
[iquote('back_demod(295),demod([1381])')] ).
cnf(1717,plain,
equal(multiply(A,inverse(multiply(multiply(inverse(multiply(B,C)),multiply(D,multiply(E,multiply(multiply(inverse(E),inverse(multiply(F,D))),G)))),multiply(H,multiply(multiply(inverse(H),inverse(G)),A))))),inverse(multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(C,I))),multiply(inverse(B),inverse(F))))))),
inference(flip,[status(thm),theory(equality)],[1716]),
[iquote('flip(1716)')] ).
cnf(1738,plain,
equal(inverse(multiply(A,inverse(multiply(multiply(inverse(B),multiply(inverse(C),D)),inverse(D))))),multiply(inverse(B),inverse(multiply(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[245]),1381,1302,1249,1254]),
[iquote('back_demod(245),demod([1381,1302,1249,1254])')] ).
cnf(1739,plain,
equal(inverse(multiply(A,multiply(B,C))),multiply(multiply(multiply(inverse(C),inverse(multiply(multiply(inverse(D),multiply(inverse(E),F)),inverse(F)))),inverse(D)),inverse(multiply(A,multiply(B,E))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[244]),1302,1254,1381]),
[iquote('back_demod(244),demod([1302,1254,1381])')] ).
cnf(1740,plain,
equal(multiply(multiply(multiply(inverse(A),inverse(multiply(multiply(inverse(B),multiply(inverse(C),D)),inverse(D)))),inverse(B)),inverse(multiply(E,multiply(F,C)))),inverse(multiply(E,multiply(F,A)))),
inference(flip,[status(thm),theory(equality)],[1739]),
[iquote('flip(1739)')] ).
cnf(1781,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(multiply(inverse(multiply(E,multiply(multiply(inverse(E),inverse(F)),D))),multiply(G,multiply(H,multiply(multiply(inverse(H),inverse(multiply(F,G))),I)))),inverse(multiply(multiply(J,multiply(multiply(inverse(J),inverse(C)),inverse(K))),multiply(K,I))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[110]),1381]),
[iquote('back_demod(110),demod([1381])')] ).
cnf(1782,plain,
equal(multiply(multiply(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),C))),multiply(D,multiply(E,multiply(multiply(inverse(E),inverse(multiply(B,D))),F)))),inverse(multiply(multiply(G,multiply(multiply(inverse(G),inverse(H)),inverse(I))),multiply(I,F)))),inverse(multiply(J,multiply(K,multiply(multiply(inverse(K),inverse(multiply(H,J))),C))))),
inference(flip,[status(thm),theory(equality)],[1781]),
[iquote('flip(1781)')] ).
cnf(1805,plain,
equal(multiply(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),C))),multiply(D,multiply(E,multiply(multiply(inverse(E),inverse(multiply(B,D))),F)))),multiply(G,inverse(multiply(multiply(H,multiply(multiply(inverse(H),inverse(F)),inverse(I))),multiply(I,multiply(C,G)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[58]),1381]),
[iquote('back_demod(58),demod([1381])')] ).
cnf(1806,plain,
equal(multiply(A,inverse(multiply(multiply(B,multiply(multiply(inverse(B),inverse(C)),inverse(D))),multiply(D,multiply(E,A))))),multiply(inverse(multiply(F,multiply(multiply(inverse(F),inverse(G)),E))),multiply(H,multiply(I,multiply(multiply(inverse(I),inverse(multiply(G,H))),C))))),
inference(flip,[status(thm),theory(equality)],[1805]),
[iquote('flip(1805)')] ).
cnf(1817,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),multiply(inverse(D),inverse(multiply(E,F))))))),multiply(G,multiply(inverse(multiply(H,multiply(multiply(inverse(H),inverse(E)),G))),multiply(F,multiply(D,C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[30]),1381]),
[iquote('back_demod(30),demod([1381])')] ).
cnf(1818,plain,
equal(multiply(A,multiply(inverse(multiply(B,multiply(multiply(inverse(B),inverse(C)),A))),multiply(D,multiply(E,F)))),inverse(multiply(G,multiply(H,multiply(multiply(inverse(H),inverse(multiply(F,G))),multiply(inverse(E),inverse(multiply(C,D)))))))),
inference(flip,[status(thm),theory(equality)],[1817]),
[iquote('flip(1817)')] ).
cnf(1830,plain,
equal(multiply(A,inverse(multiply(B,multiply(C,D)))),multiply(A,multiply(inverse(D),inverse(multiply(B,C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[859]),1302,1249,1243]),
[iquote('back_demod(859),demod([1302,1249,1243])')] ).
cnf(1838,plain,
equal(multiply(A,multiply(inverse(multiply(B,A)),inverse(multiply(multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(E))),E)))),multiply(inverse(multiply(F,multiply(multiply(inverse(F),inverse(G)),B))),multiply(H,multiply(I,multiply(multiply(inverse(I),inverse(multiply(G,H))),D))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1806]),1830]),
[iquote('back_demod(1806),demod([1830])')] ).
cnf(1839,plain,
equal(multiply(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),C))),multiply(D,multiply(E,multiply(multiply(inverse(E),inverse(multiply(B,D))),F)))),multiply(G,multiply(inverse(multiply(C,G)),inverse(multiply(multiply(H,multiply(multiply(inverse(H),inverse(F)),inverse(I))),I))))),
inference(flip,[status(thm),theory(equality)],[1838]),
[iquote('flip(1838)')] ).
cnf(1857,plain,
equal(multiply(multiply(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),C))),multiply(D,multiply(E,multiply(multiply(inverse(E),inverse(multiply(B,D))),F)))),multiply(inverse(F),inverse(multiply(multiply(G,multiply(multiply(inverse(G),inverse(H)),inverse(I))),I)))),inverse(multiply(J,multiply(K,multiply(multiply(inverse(K),inverse(multiply(H,J))),C))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1782]),1830]),
[iquote('back_demod(1782),demod([1830])')] ).
cnf(1858,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(multiply(inverse(multiply(E,multiply(multiply(inverse(E),inverse(F)),D))),multiply(G,multiply(H,multiply(multiply(inverse(H),inverse(multiply(F,G))),I)))),multiply(inverse(I),inverse(multiply(multiply(J,multiply(multiply(inverse(J),inverse(C)),inverse(K))),K))))),
inference(flip,[status(thm),theory(equality)],[1857]),
[iquote('flip(1857)')] ).
cnf(1883,plain,
equal(multiply(multiply(multiply(inverse(A),inverse(multiply(multiply(inverse(B),multiply(inverse(C),D)),inverse(D)))),inverse(B)),multiply(inverse(C),inverse(multiply(E,F)))),inverse(multiply(E,multiply(F,A)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1740]),1830]),
[iquote('back_demod(1740),demod([1830])')] ).
cnf(1884,plain,
equal(inverse(multiply(A,multiply(B,C))),multiply(multiply(multiply(inverse(C),inverse(multiply(multiply(inverse(D),multiply(inverse(E),F)),inverse(F)))),inverse(D)),multiply(inverse(E),inverse(multiply(A,B))))),
inference(flip,[status(thm),theory(equality)],[1883]),
[iquote('flip(1883)')] ).
cnf(1896,plain,
equal(multiply(A,multiply(inverse(multiply(multiply(inverse(B),inverse(C)),A)),inverse(multiply(multiply(inverse(multiply(D,E)),multiply(F,multiply(G,multiply(multiply(inverse(G),inverse(multiply(H,F))),C)))),B)))),inverse(multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(E,I))),multiply(inverse(D),inverse(H))))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1717]),1830]),
[iquote('back_demod(1717),demod([1830])')] ).
cnf(1897,plain,
equal(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),multiply(inverse(D),inverse(E)))))),multiply(F,multiply(inverse(multiply(multiply(inverse(G),inverse(H)),F)),inverse(multiply(multiply(inverse(multiply(D,C)),multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(E,I))),H)))),G))))),
inference(flip,[status(thm),theory(equality)],[1896]),
[iquote('flip(1896)')] ).
cnf(2068,plain,
equal(multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(B),inverse(multiply(multiply(C,multiply(multiply(inverse(C),inverse(D)),inverse(E))),E))))),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1409]),1830]),
[iquote('back_demod(1409),demod([1830])')] ).
cnf(2094,plain,
equal(multiply(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(multiply(B,C))),inverse(D))),multiply(D,E))),multiply(inverse(C),inverse(multiply(multiply(F,multiply(multiply(inverse(F),inverse(G)),inverse(H))),H)))),multiply(multiply(inverse(multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(K,I))),E)))),multiply(L,multiply(multiply(inverse(L),inverse(K)),B))),G)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1327]),1830]),
[iquote('back_demod(1327),demod([1830])')] ).
cnf(2095,plain,
equal(multiply(multiply(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,A))),D)))),multiply(E,multiply(multiply(inverse(E),inverse(C)),F))),G),multiply(inverse(multiply(multiply(H,multiply(multiply(inverse(H),inverse(multiply(F,I))),inverse(J))),multiply(J,D))),multiply(inverse(I),inverse(multiply(multiply(K,multiply(multiply(inverse(K),inverse(G)),inverse(L))),L))))),
inference(flip,[status(thm),theory(equality)],[2094]),
[iquote('flip(2094)')] ).
cnf(2101,plain,
equal(inverse(multiply(A,multiply(B,multiply(C,inverse(D))))),multiply(D,multiply(inverse(C),inverse(multiply(A,B))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1302]),1830]),
[iquote('back_demod(1302),demod([1830])')] ).
cnf(2124,plain,
equal(inverse(multiply(multiply(inverse(A),inverse(multiply(B,C))),B)),multiply(C,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[623]),2101,1254,1249]),
[iquote('back_demod(623),demod([2101,1254,1249])')] ).
cnf(2125,plain,
equal(multiply(multiply(A,multiply(B,C)),inverse(C)),multiply(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[627]),1248,2124,1249]),
[iquote('back_demod(627),demod([1248,2124,1249])')] ).
cnf(2131,plain,
equal(inverse(multiply(A,multiply(B,C))),multiply(multiply(inverse(C),D),multiply(inverse(D),inverse(multiply(A,B))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1884]),2125,1381,1248,2125]),
[iquote('back_demod(1884),demod([2125,1381,1248,2125])')] ).
cnf(2132,plain,
equal(multiply(multiply(inverse(A),B),multiply(inverse(B),inverse(multiply(C,D)))),inverse(multiply(C,multiply(D,A)))),
inference(flip,[status(thm),theory(equality)],[2131]),
[iquote('flip(2131)')] ).
cnf(2134,plain,
equal(inverse(multiply(A,multiply(B,C))),multiply(inverse(C),inverse(multiply(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1738]),2125,1381,1248]),
[iquote('back_demod(1738),demod([2125,1381,1248])')] ).
cnf(2135,plain,
equal(multiply(multiply(inverse(A),B),multiply(inverse(B),inverse(multiply(C,D)))),multiply(inverse(A),inverse(multiply(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2132]),2134]),
[iquote('back_demod(2132),demod([2134])')] ).
cnf(2136,plain,
equal(inverse(multiply(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(C))),C)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2068]),2135,1249]),
[iquote('back_demod(2068),demod([2135,1249])')] ).
cnf(2147,plain,
equal(multiply(multiply(multiply(inverse(multiply(multiply(inverse(A),inverse(multiply(B,C))),D)),inverse(multiply(C,A))),multiply(E,multiply(multiply(inverse(E),inverse(B)),F))),G),multiply(multiply(inverse(D),multiply(F,H)),multiply(inverse(H),G))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2095]),2134,2134,2136,2136]),
[iquote('back_demod(2095),demod([2134,2134,2136,2136])')] ).
cnf(2148,plain,
equal(multiply(multiply(inverse(A),multiply(B,C)),multiply(inverse(C),D)),multiply(multiply(multiply(inverse(multiply(multiply(inverse(E),inverse(multiply(F,G))),A)),inverse(multiply(G,E))),multiply(H,multiply(multiply(inverse(H),inverse(F)),B))),D)),
inference(flip,[status(thm),theory(equality)],[2147]),
[iquote('flip(2147)')] ).
cnf(2179,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),inverse(multiply(B,C))),D)),inverse(multiply(C,A))),multiply(multiply(multiply(inverse(D),E),multiply(F,multiply(G,multiply(multiply(inverse(G),inverse(multiply(E,F))),H)))),multiply(inverse(H),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1858]),2134,2134,1249,1248,2136]),
[iquote('back_demod(1858),demod([2134,2134,1249,1248,2136])')] ).
cnf(2180,plain,
equal(multiply(multiply(multiply(inverse(A),B),multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(multiply(B,C))),E)))),multiply(inverse(E),F)),multiply(inverse(multiply(multiply(inverse(G),inverse(multiply(F,H))),A)),inverse(multiply(H,G)))),
inference(flip,[status(thm),theory(equality)],[2179]),
[iquote('flip(2179)')] ).
cnf(2182,plain,
equal(multiply(multiply(inverse(A),B),multiply(C,multiply(D,multiply(multiply(inverse(D),inverse(multiply(B,C))),E)))),multiply(F,multiply(inverse(multiply(A,F)),E))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1839]),2134,1249,1248,2136]),
[iquote('back_demod(1839),demod([2134,1249,1248,2136])')] ).
cnf(2183,plain,
equal(multiply(A,multiply(inverse(multiply(B,A)),C)),multiply(multiply(inverse(B),D),multiply(E,multiply(F,multiply(multiply(inverse(F),inverse(multiply(D,E))),C))))),
inference(flip,[status(thm),theory(equality)],[2182]),
[iquote('flip(2182)')] ).
cnf(2327,plain,
equal(multiply(multiply(A,inverse(multiply(multiply(inverse(B),inverse(multiply(C,D))),inverse(E)))),inverse(multiply(D,B))),multiply(F,multiply(inverse(multiply(multiply(inverse(G),inverse(H)),F)),inverse(multiply(multiply(inverse(multiply(E,C)),multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(A,I))),H)))),G))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1897]),2134,2134,1248]),
[iquote('back_demod(1897),demod([2134,2134,1248])')] ).
cnf(2328,plain,
equal(multiply(A,multiply(inverse(multiply(multiply(inverse(B),inverse(C)),A)),inverse(multiply(multiply(inverse(multiply(D,E)),multiply(F,multiply(G,multiply(multiply(inverse(G),inverse(multiply(H,F))),C)))),B)))),multiply(multiply(H,inverse(multiply(multiply(inverse(I),inverse(multiply(E,J))),inverse(D)))),inverse(multiply(J,I)))),
inference(flip,[status(thm),theory(equality)],[2327]),
[iquote('flip(2327)')] ).
cnf(2364,plain,
equal(multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(D,E)))),multiply(multiply(multiply(B,C),inverse(multiply(multiply(inverse(F),inverse(multiply(E,G))),inverse(D)))),inverse(multiply(G,F)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1818]),2134,1249,1248,2134,2134,1248]),
[iquote('back_demod(1818),demod([2134,1249,1248,2134,2134,1248])')] ).
cnf(2365,plain,
equal(multiply(multiply(multiply(A,B),inverse(multiply(multiply(inverse(C),inverse(multiply(D,E))),inverse(F)))),inverse(multiply(E,C))),multiply(G,multiply(multiply(inverse(G),A),multiply(B,multiply(F,D))))),
inference(flip,[status(thm),theory(equality)],[2364]),
[iquote('flip(2364)')] ).
cnf(2567,plain,
equal(inverse(multiply(A,inverse(B))),multiply(B,inverse(A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1027]),1247]),
[iquote('back_demod(1027),demod([1247])')] ).
cnf(2635,plain,
equal(multiply(multiply(multiply(A,B),multiply(C,multiply(multiply(D,E),F))),inverse(multiply(E,F))),multiply(G,multiply(multiply(inverse(G),A),multiply(B,multiply(C,D))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2365]),2567,2567,1248]),
[iquote('back_demod(2365),demod([2567,2567,1248])')] ).
cnf(2636,plain,
equal(multiply(A,multiply(multiply(inverse(A),B),multiply(C,multiply(D,E)))),multiply(multiply(multiply(B,C),multiply(D,multiply(multiply(E,F),G))),inverse(multiply(F,G)))),
inference(flip,[status(thm),theory(equality)],[2635]),
[iquote('flip(2635)')] ).
cnf(2649,plain,
equal(multiply(A,multiply(inverse(multiply(multiply(inverse(B),inverse(C)),A)),inverse(multiply(multiply(inverse(multiply(D,E)),multiply(F,multiply(G,multiply(multiply(inverse(G),inverse(multiply(H,F))),C)))),B)))),multiply(multiply(H,multiply(D,multiply(multiply(E,I),J))),inverse(multiply(I,J)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2328]),2567,2567,1248]),
[iquote('back_demod(2328),demod([2567,2567,1248])')] ).
cnf(2650,plain,
equal(multiply(multiply(A,multiply(B,multiply(multiply(C,D),E))),inverse(multiply(D,E))),multiply(F,multiply(inverse(multiply(multiply(inverse(G),inverse(H)),F)),inverse(multiply(multiply(inverse(multiply(B,C)),multiply(I,multiply(J,multiply(multiply(inverse(J),inverse(multiply(A,I))),H)))),G))))),
inference(flip,[status(thm),theory(equality)],[2649]),
[iquote('flip(2649)')] ).
cnf(2873,plain,
equal(multiply(A,multiply(multiply(inverse(A),B),C)),multiply(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[792]),2134,1381,2136,1249]),
[iquote('back_demod(792),demod([2134,1381,2136,1249])')] ).
cnf(3033,plain,
equal(multiply(multiply(A,multiply(B,multiply(multiply(C,D),E))),inverse(multiply(D,E))),multiply(F,multiply(inverse(multiply(multiply(inverse(G),inverse(H)),F)),inverse(multiply(multiply(inverse(multiply(B,C)),multiply(I,multiply(inverse(multiply(A,I)),H))),G))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2650]),2873]),
[iquote('back_demod(2650),demod([2873])')] ).
cnf(3034,plain,
equal(multiply(A,multiply(inverse(multiply(multiply(inverse(B),inverse(C)),A)),inverse(multiply(multiply(inverse(multiply(D,E)),multiply(F,multiply(inverse(multiply(G,F)),C))),B)))),multiply(multiply(G,multiply(D,multiply(multiply(E,H),I))),inverse(multiply(H,I)))),
inference(flip,[status(thm),theory(equality)],[3033]),
[iquote('flip(3033)')] ).
cnf(3045,plain,
equal(multiply(multiply(multiply(A,B),multiply(C,multiply(multiply(D,E),F))),inverse(multiply(E,F))),multiply(A,multiply(B,multiply(C,D)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2636]),2873]),1]),
[iquote('back_demod(2636),demod([2873]),flip(1)')] ).
cnf(3253,plain,
equal(multiply(A,multiply(inverse(multiply(B,A)),C)),multiply(multiply(inverse(B),D),multiply(E,multiply(inverse(multiply(D,E)),C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2183]),2873]),
[iquote('back_demod(2183),demod([2873])')] ).
cnf(3254,plain,
equal(multiply(multiply(inverse(A),B),multiply(C,multiply(inverse(multiply(B,C)),D))),multiply(E,multiply(inverse(multiply(A,E)),D))),
inference(flip,[status(thm),theory(equality)],[3253]),
[iquote('flip(3253)')] ).
cnf(3256,plain,
equal(multiply(multiply(multiply(inverse(A),B),multiply(C,multiply(inverse(multiply(B,C)),D))),multiply(inverse(D),E)),multiply(inverse(multiply(multiply(inverse(F),inverse(multiply(E,G))),A)),inverse(multiply(G,F)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2180]),2873]),
[iquote('back_demod(2180),demod([2873])')] ).
cnf(3257,plain,
equal(multiply(inverse(multiply(multiply(inverse(A),inverse(multiply(B,C))),D)),inverse(multiply(C,A))),multiply(multiply(multiply(inverse(D),E),multiply(F,multiply(inverse(multiply(E,F)),G))),multiply(inverse(G),B))),
inference(flip,[status(thm),theory(equality)],[3256]),
[iquote('flip(3256)')] ).
cnf(3284,plain,
equal(multiply(multiply(inverse(A),multiply(B,C)),multiply(inverse(C),D)),multiply(multiply(multiply(inverse(multiply(multiply(inverse(E),inverse(multiply(F,G))),A)),inverse(multiply(G,E))),multiply(inverse(F),B)),D)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2148]),2873]),
[iquote('back_demod(2148),demod([2873])')] ).
cnf(3285,plain,
equal(multiply(multiply(multiply(inverse(multiply(multiply(inverse(A),inverse(multiply(B,C))),D)),inverse(multiply(C,A))),multiply(inverse(B),E)),F),multiply(multiply(inverse(D),multiply(E,G)),multiply(inverse(G),F))),
inference(flip,[status(thm),theory(equality)],[3284]),
[iquote('flip(3284)')] ).
cnf(3327,plain,
equal(inverse(multiply(A,B)),multiply(inverse(B),inverse(A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1287]),2873]),
[iquote('back_demod(1287),demod([2873])')] ).
cnf(3367,plain,
equal(multiply(multiply(multiply(multiply(inverse(A),multiply(multiply(B,C),D)),multiply(inverse(D),inverse(C))),multiply(inverse(B),E)),F),multiply(multiply(inverse(A),multiply(E,G)),multiply(inverse(G),F))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3285]),3327,3327,3327,3327,1248,1248,1248,3327]),
[iquote('back_demod(3285),demod([3327,3327,3327,3327,1248,1248,1248,3327])')] ).
cnf(3368,plain,
equal(multiply(multiply(inverse(A),multiply(B,C)),multiply(inverse(C),D)),multiply(multiply(multiply(multiply(inverse(A),multiply(multiply(E,F),G)),multiply(inverse(G),inverse(F))),multiply(inverse(E),B)),D)),
inference(flip,[status(thm),theory(equality)],[3367]),
[iquote('flip(3367)')] ).
cnf(3399,plain,
equal(multiply(multiply(inverse(A),multiply(multiply(B,C),D)),multiply(inverse(D),inverse(C))),multiply(multiply(multiply(inverse(A),E),multiply(inverse(E),F)),multiply(inverse(F),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3257]),3327,3327,3327,3327,1248,1248,1248,3327,3327,2873]),
[iquote('back_demod(3257),demod([3327,3327,3327,3327,1248,1248,1248,3327,3327,2873])')] ).
cnf(3400,plain,
equal(multiply(multiply(multiply(inverse(A),B),multiply(inverse(B),C)),multiply(inverse(C),D)),multiply(multiply(inverse(A),multiply(multiply(D,E),F)),multiply(inverse(F),inverse(E)))),
inference(flip,[status(thm),theory(equality)],[3399]),
[iquote('flip(3399)')] ).
cnf(3402,plain,
equal(multiply(multiply(inverse(A),B),multiply(inverse(B),C)),multiply(inverse(A),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3254]),3327,2873,3327,2873]),
[iquote('back_demod(3254),demod([3327,2873,3327,2873])')] ).
cnf(3404,plain,
equal(multiply(multiply(inverse(A),multiply(multiply(B,C),D)),multiply(inverse(D),inverse(C))),multiply(inverse(A),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3400]),3402,3402]),1]),
[iquote('back_demod(3400),demod([3402,3402]),flip(1)')] ).
cnf(3411,plain,
equal(multiply(multiply(inverse(A),multiply(B,C)),multiply(inverse(C),D)),multiply(multiply(inverse(A),B),D)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3368]),3404,3402]),
[iquote('back_demod(3368),demod([3404,3402])')] ).
cnf(3740,plain,
equal(multiply(multiply(multiply(A,B),multiply(C,multiply(multiply(D,E),F))),multiply(inverse(F),inverse(E))),multiply(A,multiply(B,multiply(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3045]),3327]),
[iquote('back_demod(3045),demod([3327])')] ).
cnf(3745,plain,
equal(multiply(multiply(A,multiply(B,multiply(multiply(C,D),E))),multiply(inverse(E),inverse(D))),multiply(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3034]),3327,3327,1248,1248,3327,3327,2873,3327,3327,3327,1248,3327,1248,1248,3411,2873,2873,3327]),1]),
[iquote('back_demod(3034),demod([3327,3327,1248,1248,3327,3327,2873,3327,3327,3327,1248,3327,1248,1248,3411,2873,2873,3327]),flip(1)')] ).
cnf(3747,plain,
equal(multiply(multiply(A,B),multiply(C,D)),multiply(A,multiply(B,multiply(C,D)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3740]),3745]),
[iquote('back_demod(3740),demod([3745])')] ).
cnf(3766,plain,
equal(multiply(multiply(inverse(A),B),C),multiply(inverse(A),multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3411]),3747,3747,1249]),1]),
[iquote('back_demod(3411),demod([3747,3747,1249]),flip(1)')] ).
cnf(3768,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3033]),3327,3747,3747,3747,1249,1357,3766,3327,3327,1248,1248,3766,3327,3327,3766,1249,3747,3766,3766,3766,3327,3327,3327,3327,1248,3766,1248,3766,3766,1248,3766,3766,3747,3747,1249,1249,1249]),1]),
[iquote('back_demod(3033),demod([3327,3747,3747,3747,1249,1357,3766,3327,3327,1248,1248,3766,3327,3327,3766,1249,3747,3766,3766,3766,3327,3327,3327,3327,1248,3766,1248,3766,3766,1248,3766,3766,3747,3747,1249,1249,1249]),flip(1)')] ).
cnf(3769,plain,
$false,
inference(conflict,[status(thm)],[3768,2]),
[iquote('conflict(3768,2)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP438-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n005.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 21:10:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.32/1.70 ----- EQP 0.9e, May 2009 -----
% 1.32/1.70 The job began on n005.cluster.edu, Mon Jun 13 21:10:39 2022
% 1.32/1.70 The command was "./eqp09e".
% 1.32/1.70
% 1.32/1.70 set(prolog_style_variables).
% 1.32/1.70 set(lrpo).
% 1.32/1.70 set(basic_paramod).
% 1.32/1.70 set(functional_subsume).
% 1.32/1.70 set(ordered_paramod).
% 1.32/1.70 set(prime_paramod).
% 1.32/1.70 set(para_pairs).
% 1.32/1.70 assign(pick_given_ratio,4).
% 1.32/1.70 clear(print_kept).
% 1.32/1.70 clear(print_new_demod).
% 1.32/1.70 clear(print_back_demod).
% 1.32/1.70 clear(print_given).
% 1.32/1.70 assign(max_mem,64000).
% 1.32/1.70 end_of_commands.
% 1.32/1.70
% 1.32/1.70 Usable:
% 1.32/1.70 end_of_list.
% 1.32/1.70
% 1.32/1.70 Sos:
% 1.32/1.70 0 (wt=-1) [] multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D.
% 1.32/1.70 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.32/1.70 end_of_list.
% 1.32/1.70
% 1.32/1.70 Demodulators:
% 1.32/1.70 end_of_list.
% 1.32/1.70
% 1.32/1.70 Passive:
% 1.32/1.70 end_of_list.
% 1.32/1.70
% 1.32/1.70 Starting to process input.
% 1.32/1.70
% 1.32/1.70 ** KEPT: 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D.
% 1.32/1.70 1 is a new demodulator.
% 1.32/1.70
% 1.32/1.70 ** KEPT: 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.32/1.70 ---------------- PROOF FOUND ----------------
% 1.32/1.70 % SZS status Unsatisfiable
% 1.32/1.70
% 1.32/1.70
% 1.32/1.70 After processing input:
% 1.32/1.70
% 1.32/1.70 Usable:
% 1.32/1.70 end_of_list.
% 1.32/1.70
% 1.32/1.70 Sos:
% 1.32/1.70 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 1.32/1.70 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D.
% 1.32/1.70 end_of_list.
% 1.32/1.70
% 1.32/1.70 Demodulators:
% 1.32/1.70 1 (wt=18) [] multiply(A,inverse(multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(multiply(D,B))),A))))) = D.
% 1.32/1.70 end_of_list.
% 1.32/1.70
% 1.32/1.70 Passive:
% 1.32/1.70 end_of_list.
% 1.32/1.70
% 1.32/1.70 UNIT CONFLICT from 3768 and 2 at 0.58 seconds.
% 1.32/1.70
% 1.32/1.70 ---------------- PROOF ----------------
% 1.32/1.70 % SZS output start Refutation
% See solution above
% 1.32/1.71 ------------ end of proof -------------
% 1.32/1.71
% 1.32/1.71
% 1.32/1.71 ------------- memory usage ------------
% 1.32/1.71 Memory dynamically allocated (tp_alloc): 13671.
% 1.32/1.71 type (bytes each) gets frees in use avail bytes
% 1.32/1.71 sym_ent ( 96) 57 0 57 0 5.3 K
% 1.32/1.71 term ( 16) 489389 318973 170416 72 3315.1 K
% 1.32/1.71 gen_ptr ( 8) 1433762 319401 1114361 226 8707.7 K
% 1.32/1.71 context ( 808) 231623 231621 2 10 9.5 K
% 1.32/1.71 trail ( 12) 136655 136655 0 18 0.2 K
% 1.32/1.71 bt_node ( 68) 19484 19480 4 45 3.3 K
% 1.32/1.71 ac_position (285432) 0 0 0 0 0.0 K
% 1.32/1.71 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.32/1.71 ac_match_free_vars_pos (4020)
% 1.32/1.71 0 0 0 0 0.0 K
% 1.32/1.71 discrim ( 12) 159064 154204 4860 36826 488.5 K
% 1.32/1.71 flat ( 40) 1567231 1567231 0 95 3.7 K
% 1.32/1.71 discrim_pos ( 12) 22006 22006 0 1 0.0 K
% 1.32/1.71 fpa_head ( 12) 10277 0 10277 0 120.4 K
% 1.32/1.71 fpa_tree ( 28) 35231 35231 0 25 0.7 K
% 1.32/1.71 fpa_pos ( 36) 6760 6760 0 1 0.0 K
% 1.32/1.71 literal ( 12) 10193 6425 3768 1 44.2 K
% 1.32/1.71 clause ( 24) 10193 6425 3768 1 88.3 K
% 1.32/1.71 list ( 12) 3051 2971 80 3 1.0 K
% 1.32/1.71 list_pos ( 20) 24431 17364 7067 1298 163.4 K
% 1.32/1.71 pair_index ( 40) 2 0 2 0 0.1 K
% 1.32/1.71
% 1.32/1.71 -------------- statistics -------------
% 1.32/1.71 Clauses input 2
% 1.32/1.71 Usable input 0
% 1.32/1.71 Sos input 2
% 1.32/1.71 Demodulators input 0
% 1.32/1.71 Passive input 0
% 1.32/1.71
% 1.32/1.71 Processed BS (before search) 2
% 1.32/1.71 Forward subsumed BS 0
% 1.32/1.71 Kept BS 2
% 1.32/1.71 New demodulators BS 1
% 1.32/1.71 Back demodulated BS 0
% 1.32/1.71
% 1.32/1.71 Clauses or pairs given 1171
% 1.32/1.71 Clauses generated 5625
% 1.32/1.71 Forward subsumed 1859
% 1.32/1.71 Deleted by weight 0
% 1.32/1.71 Deleted by variable count 0
% 1.32/1.71 Kept 3766
% 1.32/1.71 New demodulators 2991
% 1.32/1.71 Back demodulated 3566
% 1.32/1.71 Ordered paramod prunes 0
% 1.32/1.71 Basic paramod prunes 12063
% 1.32/1.71 Prime paramod prunes 3
% 1.32/1.71 Semantic prunes 0
% 1.32/1.71
% 1.32/1.71 Rewrite attmepts 188742
% 1.32/1.71 Rewrites 21224
% 1.32/1.71
% 1.32/1.71 FPA overloads 0
% 1.32/1.71 FPA underloads 0
% 1.32/1.71
% 1.32/1.71 Usable size 0
% 1.32/1.71 Sos size 201
% 1.32/1.71 Demodulators size 118
% 1.32/1.71 Passive size 0
% 1.32/1.71 Disabled size 3566
% 1.32/1.71
% 1.32/1.71 Proofs found 1
% 1.32/1.71
% 1.32/1.71 ----------- times (seconds) ----------- Mon Jun 13 21:10:40 2022
% 1.32/1.71
% 1.32/1.71 user CPU time 0.58 (0 hr, 0 min, 0 sec)
% 1.32/1.71 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.32/1.71 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.32/1.71 input time 0.00
% 1.32/1.71 paramodulation time 0.02
% 1.32/1.71 demodulation time 0.07
% 1.32/1.71 orient time 0.02
% 1.32/1.71 weigh time 0.01
% 1.32/1.71 forward subsume time 0.02
% 1.32/1.71 back demod find time 0.08
% 1.32/1.71 conflict time 0.01
% 1.32/1.71 LRPO time 0.01
% 1.32/1.71 store clause time 0.26
% 1.32/1.71 disable clause time 0.05
% 1.32/1.71 prime paramod time 0.01
% 1.32/1.71 semantics time 0.00
% 1.32/1.71
% 1.32/1.71 EQP interrupted
%------------------------------------------------------------------------------