TSTP Solution File: GRP122-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP122-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 08:44:56 EDT 2022
% Result : Unsatisfiable 1.49s 1.87s
% Output : Refutation 1.49s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))),B),
file('GRP122-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(identity,identity),identity),
file('GRP122-1.p',unknown),
[] ).
cnf(3,plain,
~ equal(multiply(multiply(a,b),c),multiply(a,multiply(b,c))),
file('GRP122-1.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B)))),A),
inference(para,[status(thm),theory(equality)],[2,1]),
[iquote('para(2,1)')] ).
cnf(5,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),identity)),identity)),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,1]),2,2]),
[iquote('para(2,1),demod([2,2])')] ).
cnf(6,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,identity))),identity)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,1]),2]),
[iquote('para(2,1),demod([2])')] ).
cnf(7,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),B)),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(B,D))),multiply(D,multiply(D,D))),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(B,D))),multiply(D,multiply(D,D))),multiply(multiply(C,multiply(multiply(C,C),multiply(B,D))),multiply(D,multiply(D,D))))))),C),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(multiply(A,multiply(multiply(A,B),multiply(multiply(C,multiply(C,C)),multiply(multiply(C,multiply(C,C)),multiply(C,multiply(C,C)))))),multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,C)))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(9,plain,
equal(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,C))),multiply(A,multiply(multiply(A,B),multiply(multiply(C,multiply(C,C)),multiply(multiply(C,multiply(C,C)),multiply(C,multiply(C,C))))))),
inference(flip,[status(thm),theory(equality)],[8]),
[iquote('flip(8)')] ).
cnf(10,plain,
equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,identity))),identity)),A),
inference(para,[status(thm),theory(equality)],[2,6]),
[iquote('para(2,6)')] ).
cnf(11,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),B)),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))))))),identity),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(13,plain,
equal(multiply(identity,multiply(multiply(identity,A),identity)),multiply(identity,multiply(identity,multiply(A,identity)))),
inference(para,[status(thm),theory(equality)],[10,10]),
[iquote('para(10,10)')] ).
cnf(14,plain,
equal(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),13,13]),
[iquote('back_demod(10),demod([13,13])')] ).
cnf(16,plain,
equal(multiply(identity,multiply(multiply(identity,A),multiply(multiply(B,multiply(B,B)),multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B)))))),multiply(identity,multiply(identity,multiply(A,B)))),
inference(para,[status(thm),theory(equality)],[4,4]),
[iquote('para(4,4)')] ).
cnf(17,plain,
equal(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),identity)),multiply(A,multiply(multiply(A,identity),identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,6]),1]),
[iquote('para(5,6),flip(1)')] ).
cnf(19,plain,
equal(multiply(A,multiply(multiply(A,B),identity)),multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,identity)))),
inference(para,[status(thm),theory(equality)],[6,6]),
[iquote('para(6,6)')] ).
cnf(20,plain,
equal(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,identity))),multiply(A,multiply(multiply(A,B),identity))),
inference(flip,[status(thm),theory(equality)],[19]),
[iquote('flip(19)')] ).
cnf(21,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(multiply(A,multiply(multiply(A,A),identity)),identity),multiply(multiply(multiply(A,multiply(multiply(A,A),identity)),identity),multiply(multiply(A,multiply(multiply(A,A),identity)),identity))))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,4]),2,2]),
[iquote('para(5,4),demod([2,2])')] ).
cnf(22,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(multiply(identity,A),identity),identity))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,13]),13,13,14]),1]),
[iquote('para(13,13),demod([13,13,14]),flip(1)')] ).
cnf(25,plain,
equal(multiply(multiply(identity,A),identity),multiply(identity,multiply(A,identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,13]),13,14]),1]),
[iquote('para(22,13),demod([13,14]),flip(1)')] ).
cnf(29,plain,
equal(multiply(A,multiply(multiply(A,B),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,D))),multiply(D,multiply(D,D))),E))),multiply(E,multiply(E,E))),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,D))),multiply(D,multiply(D,D))),E))),multiply(E,multiply(E,E))),multiply(multiply(C,multiply(multiply(C,C),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,D))),multiply(D,multiply(D,D))),E))),multiply(E,multiply(E,E))))))),C),
inference(para,[status(thm),theory(equality)],[1,7]),
[iquote('para(1,7)')] ).
cnf(31,plain,
equal(multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B))),identity)),multiply(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,25]),1]),
[iquote('para(4,25),flip(1)')] ).
cnf(34,plain,
equal(multiply(identity,multiply(A,multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity))))),identity),
inference(para,[status(thm),theory(equality)],[14,4]),
[iquote('para(14,4)')] ).
cnf(42,plain,
equal(multiply(multiply(A,A),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity)),identity),
inference(para,[status(thm),theory(equality)],[17,5]),
[iquote('para(17,5)')] ).
cnf(48,plain,
equal(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,A),multiply(B,multiply(C,multiply(C,C)))),C))),B),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(52,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity))))),multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,4]),2,2]),
[iquote('para(42,4),demod([2,2])')] ).
cnf(80,plain,
equal(multiply(A,multiply(multiply(A,multiply(A,multiply(multiply(A,identity),identity))),identity)),multiply(multiply(A,A),multiply(A,A))),
inference(para,[status(thm),theory(equality)],[17,6]),
[iquote('para(17,6)')] ).
cnf(83,plain,
equal(multiply(multiply(A,A),multiply(multiply(A,multiply(multiply(A,B),identity)),identity)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,6]),2,2,2,2,2,2,2,2]),
[iquote('para(9,6),demod([2,2,2,2,2,2,2,2])')] ).
cnf(84,plain,
equal(multiply(multiply(A,multiply(multiply(A,A),identity)),identity),multiply(multiply(A,A),multiply(multiply(A,identity),identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,83]),2]),1]),
[iquote('para(5,83),demod([2]),flip(1)')] ).
cnf(87,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),multiply(multiply(A,A),multiply(multiply(A,identity),identity)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[21]),84,84,84]),
[iquote('back_demod(21),demod([84,84,84])')] ).
cnf(89,plain,
equal(multiply(A,multiply(multiply(A,A),multiply(multiply(A,identity),identity))),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5]),84]),
[iquote('back_demod(5),demod([84])')] ).
cnf(92,plain,
equal(multiply(multiply(identity,A),multiply(multiply(multiply(identity,A),multiply(identity,A)),multiply(identity,multiply(multiply(A,identity),identity)))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,89]),25]),
[iquote('para(25,89),demod([25])')] ).
cnf(97,plain,
equal(multiply(multiply(A,multiply(multiply(A,A),multiply(B,identity))),identity),multiply(multiply(A,A),multiply(multiply(A,multiply(B,identity)),identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,83]),1]),
[iquote('para(6,83),flip(1)')] ).
cnf(103,plain,
equal(multiply(A,multiply(multiply(A,A),multiply(multiply(A,multiply(B,identity)),identity))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),97]),
[iquote('back_demod(6),demod([97])')] ).
cnf(105,plain,
equal(multiply(A,multiply(multiply(A,identity),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))))),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))))))))),multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),B))),
inference(para,[status(thm),theory(equality)],[11,1]),
[iquote('para(11,1)')] ).
cnf(106,plain,
equal(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),B)),multiply(A,multiply(multiply(A,identity),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))))),multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C)))))))))),
inference(flip,[status(thm),theory(equality)],[105]),
[iquote('flip(105)')] ).
cnf(108,plain,
equal(multiply(A,multiply(multiply(A,A),multiply(multiply(A,multiply(identity,multiply(B,identity))),identity))),multiply(identity,B)),
inference(para,[status(thm),theory(equality)],[25,103]),
[iquote('para(25,103)')] ).
cnf(109,plain,
equal(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,A),multiply(B,identity)),identity)),multiply(multiply(A,multiply(multiply(A,B),identity)),identity)),
inference(para,[status(thm),theory(equality)],[83,83]),
[iquote('para(83,83)')] ).
cnf(112,plain,
equal(multiply(A,multiply(multiply(A,A),multiply(multiply(A,multiply(identity,multiply(identity,multiply(B,identity)))),identity))),multiply(identity,multiply(identity,B))),
inference(para,[status(thm),theory(equality)],[25,108]),
[iquote('para(25,108)')] ).
cnf(116,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,83]),2,25]),
[iquote('para(4,83),demod([2,25])')] ).
cnf(118,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(A,multiply(A,A))),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,116]),2,2,2]),1]),
[iquote('para(2,116),demod([2,2,2]),flip(1)')] ).
cnf(125,plain,
equal(multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),A),multiply(A,multiply(A,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[118,83]),2,25,25,25,25,25,25,14]),
[iquote('para(118,83),demod([2,25,25,25,25,25,25,14])')] ).
cnf(130,plain,
equal(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),identity)))),multiply(A,multiply(multiply(A,A),identity))),
inference(para,[status(thm),theory(equality)],[84,14]),
[iquote('para(84,14)')] ).
cnf(134,plain,
equal(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,A),identity),identity)),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity)),
inference(para,[status(thm),theory(equality)],[2,109]),
[iquote('para(2,109)')] ).
cnf(135,plain,
equal(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,A),identity),identity))),
inference(flip,[status(thm),theory(equality)],[134]),
[iquote('flip(134)')] ).
cnf(145,plain,
equal(multiply(multiply(A,A),multiply(multiply(A,A),multiply(multiply(A,identity),identity))),A),
inference(para,[status(thm),theory(equality)],[84,83]),
[iquote('para(84,83)')] ).
cnf(149,plain,
equal(multiply(multiply(multiply(identity,A),multiply(identity,A)),multiply(multiply(multiply(identity,A),multiply(identity,A)),multiply(identity,multiply(multiply(A,identity),identity)))),multiply(identity,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,145]),25]),
[iquote('para(25,145),demod([25])')] ).
cnf(150,plain,
equal(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,A),multiply(A,identity)),identity)),multiply(multiply(A,A),multiply(multiply(A,identity),identity))),
inference(para,[status(thm),theory(equality)],[145,83]),
[iquote('para(145,83)')] ).
cnf(151,plain,
equal(multiply(identity,multiply(multiply(identity,multiply(identity,A)),multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),multiply(multiply(A,A),multiply(multiply(A,identity),identity)))))),multiply(A,A)),
inference(para,[status(thm),theory(equality)],[145,4]),
[iquote('para(145,4)')] ).
cnf(163,plain,
equal(multiply(A,multiply(multiply(A,A),multiply(multiply(A,multiply(identity,multiply(identity,multiply(identity,multiply(B,identity))))),identity))),multiply(identity,multiply(identity,multiply(identity,B)))),
inference(para,[status(thm),theory(equality)],[25,112]),
[iquote('para(25,112)')] ).
cnf(175,plain,
equal(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity)),multiply(A,A)),
inference(para,[status(thm),theory(equality)],[17,83]),
[iquote('para(17,83)')] ).
cnf(180,plain,
equal(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,A),multiply(A,A))),multiply(multiply(A,A),identity))),multiply(A,multiply(multiply(A,identity),identity))),
inference(para,[status(thm),theory(equality)],[175,103]),
[iquote('para(175,103)')] ).
cnf(211,plain,
equal(multiply(A,multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity)))),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[34,83]),2,2,2,2,2]),1]),
[iquote('para(34,83),demod([2,2,2,2,2]),flip(1)')] ).
cnf(212,plain,
equal(multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity))),multiply(multiply(A,A),multiply(multiply(A,identity),identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[211,83]),2]),1]),
[iquote('para(211,83),demod([2]),flip(1)')] ).
cnf(275,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,A),multiply(A,A)))),identity)),multiply(multiply(A,A),multiply(multiply(A,A),multiply(multiply(multiply(A,A),identity),identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[80,1]),2,2]),
[iquote('para(80,1),demod([2,2])')] ).
cnf(277,plain,
equal(multiply(multiply(identity,A),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[92,1]),212]),
[iquote('para(92,1),demod([212])')] ).
cnf(278,plain,
equal(multiply(multiply(identity,multiply(identity,A)),multiply(identity,multiply(multiply(multiply(identity,A),multiply(identity,A)),multiply(identity,multiply(multiply(A,identity),identity))))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,277]),25]),
[iquote('para(25,277),demod([25])')] ).
cnf(280,plain,
equal(multiply(multiply(multiply(identity,A),multiply(identity,A)),multiply(identity,multiply(multiply(A,identity),identity))),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[277,83]),2,25,25]),
[iquote('para(277,83),demod([2,25,25])')] ).
cnf(281,plain,
equal(multiply(multiply(identity,multiply(identity,A)),multiply(identity,multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))))),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[278]),280]),
[iquote('back_demod(278),demod([280])')] ).
cnf(288,plain,
equal(multiply(multiply(multiply(identity,A),multiply(identity,A)),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))),multiply(identity,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[149]),280]),
[iquote('back_demod(149),demod([280])')] ).
cnf(290,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity)))))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,281]),25,280]),
[iquote('para(25,281),demod([25,280])')] ).
cnf(307,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,A)))),multiply(identity,multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))))))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,290]),25,280]),
[iquote('para(25,290),demod([25,280])')] ).
cnf(343,plain,
equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))),multiply(multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))),multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))))))),multiply(multiply(identity,A),multiply(identity,A))),
inference(para,[status(thm),theory(equality)],[288,4]),
[iquote('para(288,4)')] ).
cnf(360,plain,
equal(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))))),multiply(A,multiply(A,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[290,83]),2,25,25,25,25,25,25,14,125]),1]),
[iquote('para(290,83),demod([2,25,25,25,25,25,25,14,125]),flip(1)')] ).
cnf(361,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(identity,A)))),multiply(identity,multiply(A,multiply(A,A)))),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[307]),360]),
[iquote('back_demod(307),demod([360])')] ).
cnf(366,plain,
equal(multiply(multiply(A,multiply(A,A)),identity),multiply(A,multiply(multiply(A,A),identity))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[360,25]),25,25,130]),
[iquote('para(360,25),demod([25,25,130])')] ).
cnf(376,plain,
equal(multiply(multiply(A,A),multiply(multiply(A,multiply(A,multiply(multiply(A,A),identity))),identity)),multiply(A,A)),
inference(para,[status(thm),theory(equality)],[366,83]),
[iquote('para(366,83)')] ).
cnf(389,plain,
equal(multiply(multiply(identity,A),multiply(multiply(identity,A),multiply(identity,A))),multiply(identity,multiply(A,multiply(A,A)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[361,83]),2,25,25,25,25,25,25,25,25,14,125]),
[iquote('para(361,83),demod([2,25,25,25,25,25,25,25,25,14,125])')] ).
cnf(390,plain,
equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),multiply(multiply(multiply(A,A),multiply(multiply(A,identity),identity)),multiply(multiply(A,A),multiply(multiply(A,identity),identity))))))),multiply(multiply(identity,A),multiply(identity,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[343]),389]),
[iquote('back_demod(343),demod([389])')] ).
cnf(400,plain,
equal(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,A),multiply(multiply(A,A),identity)),identity)),multiply(multiply(A,multiply(A,multiply(multiply(A,A),identity))),identity)),
inference(para,[status(thm),theory(equality)],[376,83]),
[iquote('para(376,83)')] ).
cnf(442,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(multiply(A,multiply(A,A)),B))),multiply(B,multiply(B,B))),multiply(identity,multiply(identity,multiply(multiply(A,A),multiply(multiply(A,identity),identity))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[366,116]),84]),1]),
[iquote('para(366,116),demod([84]),flip(1)')] ).
cnf(447,plain,
equal(multiply(A,multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,B))),multiply(B,multiply(B,B)))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,11]),442,442,442,389,389,87,1]),
[iquote('para(29,11),demod([442,442,442,389,389,87,1])')] ).
cnf(461,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,multiply(B,B)))),B)),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[360,1]),389,389,87]),
[iquote('para(360,1),demod([389,389,87])')] ).
cnf(467,plain,
equal(multiply(multiply(A,multiply(multiply(A,A),multiply(B,multiply(B,B)))),B),multiply(multiply(A,A),multiply(multiply(A,identity),identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[461,83]),2]),1]),
[iquote('para(461,83),demod([2]),flip(1)')] ).
cnf(475,plain,
equal(multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))),multiply(identity,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[360,389]),360,360,389,389,87]),
[iquote('para(360,389),demod([360,360,389,389,87])')] ).
cnf(565,plain,
equal(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),B)),multiply(A,multiply(multiply(A,identity),B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[106]),475,4]),
[iquote('back_demod(106),demod([475,4])')] ).
cnf(623,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,identity),multiply(A,B))),multiply(B,multiply(B,B)))),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[447]),565]),
[iquote('back_demod(447),demod([565])')] ).
cnf(656,plain,
equal(multiply(multiply(A,A),multiply(multiply(multiply(A,A),identity),multiply(multiply(A,A),identity))),multiply(A,multiply(multiply(A,identity),identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[180]),565]),
[iquote('back_demod(180),demod([565])')] ).
cnf(674,plain,
equal(multiply(A,multiply(multiply(A,identity),multiply(multiply(multiply(A,A),multiply(B,multiply(C,multiply(C,C)))),C))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[48]),565]),
[iquote('back_demod(48),demod([565])')] ).
cnf(687,plain,
equal(multiply(A,multiply(multiply(A,identity),multiply(B,identity))),multiply(A,multiply(multiply(A,B),identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[20]),565]),
[iquote('back_demod(20),demod([565])')] ).
cnf(689,plain,
equal(multiply(A,multiply(multiply(A,identity),multiply(B,C))),multiply(A,multiply(multiply(A,B),multiply(identity,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),565,475]),
[iquote('back_demod(9),demod([565,475])')] ).
cnf(698,plain,
equal(multiply(identity,multiply(multiply(identity,A),multiply(identity,B))),multiply(identity,multiply(identity,multiply(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[16]),475]),
[iquote('back_demod(16),demod([475])')] ).
cnf(700,plain,
equal(multiply(multiply(identity,A),multiply(identity,A)),multiply(identity,multiply(A,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[390]),698,151]),1]),
[iquote('back_demod(390),demod([698,151]),flip(1)')] ).
cnf(728,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,A)))),A),multiply(A,multiply(A,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[125]),700,700,700]),
[iquote('back_demod(125),demod([700,700,700])')] ).
cnf(733,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,identity),multiply(A,identity))),identity)),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,623]),2]),
[iquote('para(2,623),demod([2])')] ).
cnf(759,plain,
equal(multiply(multiply(A,A),identity),multiply(multiply(A,identity),multiply(A,identity))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[733,83]),2]),
[iquote('para(733,83),demod([2])')] ).
cnf(760,plain,
equal(multiply(multiply(A,identity),multiply(A,identity)),multiply(multiply(A,A),identity)),
inference(flip,[status(thm),theory(equality)],[759]),
[iquote('flip(759)')] ).
cnf(787,plain,
equal(multiply(identity,multiply(multiply(A,A),multiply(multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity)),multiply(multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity)),multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity)))))),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity)),
inference(para,[status(thm),theory(equality)],[52,4]),
[iquote('para(52,4)')] ).
cnf(808,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,A),identity)))),multiply(A,identity)),multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity)))),
inference(para,[status(thm),theory(equality)],[760,728]),
[iquote('para(760,728)')] ).
cnf(816,plain,
equal(multiply(multiply(A,B),identity),multiply(multiply(A,identity),multiply(B,identity))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[687,83]),83]),
[iquote('para(687,83),demod([83])')] ).
cnf(836,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,identity)))),multiply(A,multiply(multiply(A,A),identity))),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[118,816]),2,25,25,25,366]),1]),
[iquote('para(118,816),demod([2,25,25,25,366]),flip(1)')] ).
cnf(842,plain,
equal(multiply(multiply(A,identity),multiply(multiply(A,A),identity)),multiply(A,multiply(multiply(A,A),identity))),
inference(para,[status(thm),theory(equality)],[816,366]),
[iquote('para(816,366)')] ).
cnf(871,plain,
equal(multiply(A,multiply(multiply(A,A),identity)),multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[728,816]),366,25,25,25,808]),
[iquote('para(728,816),demod([366,25,25,25,808])')] ).
cnf(903,plain,
equal(multiply(A,multiply(multiply(A,multiply(B,multiply(B,B))),identity)),multiply(A,multiply(multiply(A,identity),multiply(B,multiply(multiply(B,B),identity))))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[366,687]),1]),
[iquote('para(366,687),flip(1)')] ).
cnf(905,plain,
equal(multiply(multiply(identity,A),multiply(identity,B)),multiply(identity,multiply(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[698,83]),2,25,25,25,25,25,14]),1]),
[iquote('para(698,83),demod([2,25,25,25,25,25,14]),flip(1)')] ).
cnf(1022,plain,
equal(multiply(multiply(A,identity),multiply(multiply(A,identity),multiply(A,identity))),multiply(A,multiply(multiply(A,identity),multiply(A,identity)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[759,871]),1]),
[iquote('para(759,871),flip(1)')] ).
cnf(1056,plain,
equal(multiply(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,A),multiply(A,A))),multiply(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,multiply(multiply(A,B),identity)),identity),identity)),identity)),multiply(multiply(multiply(A,A),multiply(B,identity)),identity)),
inference(para,[status(thm),theory(equality)],[109,83]),
[iquote('para(109,83)')] ).
cnf(1061,plain,
equal(multiply(multiply(identity,A),multiply(multiply(identity,multiply(A,identity)),multiply(multiply(multiply(identity,multiply(A,A)),multiply(B,multiply(C,multiply(C,C)))),C))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,674]),905]),
[iquote('para(25,674),demod([905])')] ).
cnf(1096,plain,
equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,multiply(multiply(A,A),identity)))),multiply(A,multiply(multiply(A,identity),identity)))),multiply(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[842,4]),1022,656]),
[iquote('para(842,4),demod([1022,656])')] ).
cnf(1103,plain,
equal(multiply(multiply(A,B),multiply(identity,C)),multiply(multiply(A,identity),multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[689,83]),83]),
[iquote('para(689,83),demod([83])')] ).
cnf(1109,plain,
equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),B)),multiply(A,multiply(identity,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,1103]),2]),1]),
[iquote('para(14,1103),demod([2]),flip(1)')] ).
cnf(1120,plain,
equal(multiply(identity,multiply(multiply(A,B),C)),multiply(multiply(identity,multiply(A,identity)),multiply(multiply(identity,B),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[905,1103]),905,25]),
[iquote('para(905,1103),demod([905,25])')] ).
cnf(1121,plain,
equal(multiply(multiply(identity,multiply(A,identity)),multiply(multiply(identity,B),C)),multiply(identity,multiply(multiply(A,B),C))),
inference(flip,[status(thm),theory(equality)],[1120]),
[iquote('flip(1120)')] ).
cnf(1140,plain,
equal(multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),B),identity)),multiply(multiply(A,multiply(identity,B)),identity)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1109,25]),1]),
[iquote('para(1109,25),flip(1)')] ).
cnf(1143,plain,
equal(multiply(identity,multiply(multiply(multiply(identity,A),B),C)),multiply(multiply(identity,multiply(identity,multiply(A,identity))),multiply(multiply(identity,B),C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,1121]),1]),
[iquote('para(25,1121),flip(1)')] ).
cnf(1144,plain,
equal(multiply(multiply(A,multiply(identity,B)),identity),multiply(multiply(A,identity),multiply(identity,multiply(B,identity)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1140]),1143,25,14,25]),1]),
[iquote('back_demod(1140),demod([1143,25,14,25]),flip(1)')] ).
cnf(1196,plain,
equal(multiply(A,multiply(multiply(A,A),multiply(multiply(A,identity),B))),multiply(identity,multiply(identity,multiply(identity,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[163]),1144,1144,2,14]),
[iquote('back_demod(163),demod([1144,1144,2,14])')] ).
cnf(1206,plain,
equal(multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(A,B),identity))),multiply(B,multiply(multiply(B,B),identity)))),multiply(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[31]),1143,25,25,366,905]),
[iquote('back_demod(31),demod([1143,25,25,366,905])')] ).
cnf(1222,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,A),identity)))),multiply(A,B)),multiply(multiply(A,multiply(A,A)),multiply(identity,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[728,1103]),1144,2,25]),1]),
[iquote('para(728,1103),demod([1144,2,25]),flip(1)')] ).
cnf(1253,plain,
equal(multiply(A,multiply(multiply(A,identity),multiply(multiply(multiply(A,identity),multiply(A,identity)),B))),multiply(identity,multiply(identity,multiply(identity,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[759,1196]),565]),
[iquote('para(759,1196),demod([565])')] ).
cnf(1311,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,multiply(multiply(A,A),identity))))),multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(multiply(A,A),identity)),multiply(A,multiply(multiply(A,A),identity))))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[366,836]),903,366]),
[iquote('para(366,836),demod([903,366])')] ).
cnf(1348,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(A,identity),identity),identity)),multiply(multiply(identity,multiply(multiply(B,identity),identity)),multiply(multiply(C,identity),identity))))),multiply(multiply(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1120,83]),2,1143,25,1143,25,905,905,25,1143,25,1143,25,905,905]),
[iquote('para(1120,83),demod([2,1143,25,1143,25,905,905,25,1143,25,1143,25,905,905])')] ).
cnf(1349,plain,
equal(multiply(multiply(A,B),C),multiply(identity,multiply(identity,multiply(multiply(identity,multiply(multiply(multiply(A,identity),identity),identity)),multiply(multiply(identity,multiply(multiply(B,identity),identity)),multiply(multiply(C,identity),identity)))))),
inference(flip,[status(thm),theory(equality)],[1348]),
[iquote('flip(1348)')] ).
cnf(1484,plain,
equal(multiply(A,multiply(multiply(A,identity),multiply(multiply(multiply(A,A),multiply(B,multiply(identity,multiply(C,multiply(C,C))))),multiply(identity,C)))),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[905,674]),905]),
[iquote('para(905,674),demod([905])')] ).
cnf(1485,plain,
equal(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,multiply(identity,multiply(B,multiply(B,B)))),B)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,1484]),2,905]),
[iquote('para(2,1484),demod([2,905])')] ).
cnf(1486,plain,
equal(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(A,multiply(identity,multiply(B,multiply(B,B)))),B),identity)))),multiply(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1485,25]),1144,2]),1]),
[iquote('para(1485,25),demod([1144,2]),flip(1)')] ).
cnf(1583,plain,
equal(multiply(multiply(A,identity),identity),multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1206,25]),1143,25,14,25,84]),
[iquote('para(1206,25),demod([1143,25,14,25,84])')] ).
cnf(1584,plain,
equal(multiply(multiply(A,B),multiply(identity,multiply(multiply(B,B),multiply(multiply(B,identity),identity)))),multiply(multiply(A,identity),identity)),
inference(flip,[status(thm),theory(equality)],[1583]),
[iquote('flip(1583)')] ).
cnf(1601,plain,
equal(multiply(multiply(multiply(A,A),identity),multiply(identity,multiply(multiply(multiply(A,identity),multiply(A,identity)),multiply(multiply(multiply(A,identity),identity),identity)))),multiply(multiply(multiply(A,identity),identity),identity)),
inference(para,[status(thm),theory(equality)],[760,1584]),
[iquote('para(760,1584)')] ).
cnf(1608,plain,
equal(multiply(multiply(identity,A),multiply(multiply(identity,multiply(A,identity)),multiply(multiply(identity,multiply(multiply(A,identity),multiply(A,identity))),B))),multiply(identity,multiply(identity,multiply(identity,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[25,1253]),25,25,905]),
[iquote('para(25,1253),demod([25,25,905])')] ).
cnf(1610,plain,
equal(multiply(multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),multiply(A,multiply(multiply(A,identity),identity))),multiply(multiply(A,multiply(multiply(A,identity),identity)),multiply(A,multiply(multiply(A,identity),identity)))),multiply(multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),multiply(A,multiply(multiply(A,identity),identity))),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,A),identity),identity))),identity)),multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),multiply(A,multiply(multiply(A,identity),identity))),multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),identity))),
inference(para,[status(thm),theory(equality)],[135,150]),
[iquote('para(135,150)')] ).
cnf(1613,plain,
equal(multiply(multiply(A,multiply(identity,multiply(B,multiply(B,B)))),B),multiply(multiply(A,identity),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1486,25]),1144,2,14]),1]),
[iquote('para(1486,25),demod([1144,2,14]),flip(1)')] ).
cnf(1617,plain,
equal(multiply(multiply(multiply(A,identity),multiply(identity,multiply(B,multiply(multiply(B,B),identity)))),multiply(B,C)),multiply(multiply(multiply(A,identity),identity),multiply(identity,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1613,1103]),1144,366]),1]),
[iquote('para(1613,1103),demod([1144,366]),flip(1)')] ).
cnf(1618,plain,
equal(multiply(multiply(multiply(A,identity),multiply(B,multiply(C,multiply(C,C)))),C),multiply(multiply(multiply(A,B),identity),identity)),
inference(para,[status(thm),theory(equality)],[1103,1613]),
[iquote('para(1103,1613)')] ).
cnf(1619,plain,
equal(multiply(multiply(multiply(A,B),identity),identity),multiply(multiply(multiply(A,identity),multiply(B,multiply(C,multiply(C,C)))),C)),
inference(flip,[status(thm),theory(equality)],[1618]),
[iquote('flip(1618)')] ).
cnf(1622,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(A,multiply(multiply(A,A),identity)))),multiply(A,B)),multiply(identity,multiply(identity,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,1617]),2,2]),
[iquote('para(2,1617),demod([2,2])')] ).
cnf(1623,plain,
equal(multiply(A,identity),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1096]),1622,14]),1]),
[iquote('back_demod(1096),demod([1622,14]),flip(1)')] ).
cnf(1627,plain,
equal(multiply(multiply(A,multiply(B,multiply(C,multiply(C,C)))),C),multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1619]),1623,1623,1623]),1]),
[iquote('back_demod(1619),demod([1623,1623,1623]),flip(1)')] ).
cnf(1632,plain,
equal(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,A),multiply(A,A))),multiply(A,multiply(A,multiply(A,A)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[400]),1623,1623,1623,1623]),
[iquote('back_demod(400),demod([1623,1623,1623,1623])')] ).
cnf(1653,plain,
equal(multiply(multiply(A,multiply(A,multiply(A,A))),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,multiply(A,B)))),multiply(multiply(A,A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1056]),1632,1623,1623,1623,1623,1623,1623]),
[iquote('back_demod(1056),demod([1632,1623,1623,1623,1623,1623,1623])')] ).
cnf(1659,plain,
equal(multiply(multiply(A,A),multiply(multiply(A,A),multiply(A,A))),multiply(A,multiply(A,multiply(A,multiply(A,multiply(A,A)))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[275]),1632,1623,1623,1623]),1]),
[iquote('back_demod(275),demod([1632,1623,1623,1623]),flip(1)')] ).
cnf(1672,plain,
equal(multiply(identity,multiply(A,multiply(A,multiply(A,multiply(A,multiply(A,A)))))),multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[787]),1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1632,565,1623,1623,1623,1623]),
[iquote('back_demod(787),demod([1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1623,1632,565,1623,1623,1623,1623])')] ).
cnf(1675,plain,
equal(multiply(multiply(A,A),multiply(A,multiply(A,multiply(A,A)))),multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[376]),1623,1623]),
[iquote('back_demod(376),demod([1623,1623])')] ).
cnf(1676,plain,
equal(multiply(multiply(identity,A),multiply(multiply(identity,A),multiply(multiply(identity,multiply(A,A)),B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1061]),1623,1627]),
[iquote('back_demod(1061),demod([1623,1627])')] ).
cnf(1677,plain,
equal(multiply(multiply(A,A),A),multiply(A,multiply(A,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[467]),1627,1623,1623]),1]),
[iquote('back_demod(467),demod([1627,1623,1623]),flip(1)')] ).
cnf(1687,plain,
equal(multiply(A,multiply(A,multiply(A,multiply(A,multiply(A,A))))),multiply(A,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1610]),1623,1623,1623,1623,1623,1623,1623,1623,1632,1623,1623,1623,1623,1623,1623,1677,1659,1623,1653,1675,1623,1623,1623,1623,1623,1623,1623,1623,1677,1659]),1]),
[iquote('back_demod(1610),demod([1623,1623,1623,1623,1623,1623,1623,1623,1632,1623,1623,1623,1623,1623,1623,1677,1659,1623,1653,1675,1623,1623,1623,1623,1623,1623,1623,1623,1677,1659]),flip(1)')] ).
cnf(1691,plain,
equal(multiply(identity,multiply(A,A)),multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1672]),1687]),
[iquote('back_demod(1672),demod([1687])')] ).
cnf(1693,plain,
equal(multiply(multiply(identity,A),multiply(multiply(identity,A),multiply(multiply(A,A),B))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1676]),1691]),
[iquote('back_demod(1676),demod([1691])')] ).
cnf(1694,plain,
equal(multiply(identity,multiply(identity,multiply(identity,A))),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1608]),1623,1623,1623,1691,1693]),1]),
[iquote('back_demod(1608),demod([1623,1623,1623,1691,1693]),flip(1)')] ).
cnf(1702,plain,
equal(multiply(multiply(A,multiply(A,A)),multiply(identity,A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1311]),1623,1694,1623,1623,475]),
[iquote('back_demod(1311),demod([1623,1694,1623,1623,475])')] ).
cnf(1708,plain,
equal(multiply(multiply(A,multiply(A,A)),multiply(identity,B)),multiply(multiply(A,A),multiply(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1222]),1623,1691,1691,1691]),1]),
[iquote('back_demod(1222),demod([1623,1691,1691,1691]),flip(1)')] ).
cnf(1709,plain,
equal(multiply(multiply(A,A),multiply(A,A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1702]),1708]),
[iquote('back_demod(1702),demod([1708])')] ).
cnf(1714,plain,
equal(multiply(multiply(A,multiply(A,multiply(A,A))),multiply(identity,multiply(A,multiply(A,B)))),multiply(multiply(A,A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1653]),1709]),
[iquote('back_demod(1653),demod([1709])')] ).
cnf(1718,plain,
equal(multiply(A,multiply(A,multiply(A,A))),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1632]),1709,1709,1623]),1]),
[iquote('back_demod(1632),demod([1709,1709,1623]),flip(1)')] ).
cnf(1722,plain,
equal(multiply(multiply(A,A),B),multiply(identity,multiply(identity,multiply(A,multiply(A,B))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1714]),1718]),1]),
[iquote('back_demod(1714),demod([1718]),flip(1)')] ).
cnf(1736,plain,
equal(multiply(identity,multiply(A,multiply(A,multiply(identity,multiply(A,multiply(A,B)))))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1693]),1722,905,905]),
[iquote('back_demod(1693),demod([1722,905,905])')] ).
cnf(1740,plain,
equal(multiply(identity,multiply(identity,multiply(A,multiply(A,A)))),multiply(A,multiply(A,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1677]),1722]),
[iquote('back_demod(1677),demod([1722])')] ).
cnf(1764,plain,
equal(multiply(identity,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1601]),1623,1623,1623,1623,1623,1623,1722,1740,1722,1736,1623,1623,1623]),
[iquote('back_demod(1601),demod([1623,1623,1623,1623,1623,1623,1722,1740,1722,1736,1623,1623,1623])')] ).
cnf(1831,plain,
equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1349]),1623,1623,1623,1764,1623,1623,1764,1623,1623,1764,1764]),
[iquote('back_demod(1349),demod([1623,1623,1623,1764,1623,1623,1764,1623,1623,1764,1764])')] ).
cnf(1832,plain,
$false,
inference(conflict,[status(thm)],[1831,3]),
[iquote('conflict(1831,3)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP122-1 : TPTP v8.1.0. Released v1.2.0.
% 0.09/0.12 % Command : tptp2X_and_run_eqp %s
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 14 00:15:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.49/1.87 ----- EQP 0.9e, May 2009 -----
% 1.49/1.87 The job began on n010.cluster.edu, Tue Jun 14 00:15:40 2022
% 1.49/1.87 The command was "./eqp09e".
% 1.49/1.87
% 1.49/1.87 set(prolog_style_variables).
% 1.49/1.87 set(lrpo).
% 1.49/1.87 set(basic_paramod).
% 1.49/1.87 set(functional_subsume).
% 1.49/1.87 set(ordered_paramod).
% 1.49/1.87 set(prime_paramod).
% 1.49/1.87 set(para_pairs).
% 1.49/1.87 assign(pick_given_ratio,4).
% 1.49/1.87 clear(print_kept).
% 1.49/1.87 clear(print_new_demod).
% 1.49/1.87 clear(print_back_demod).
% 1.49/1.87 clear(print_given).
% 1.49/1.87 assign(max_mem,64000).
% 1.49/1.87 end_of_commands.
% 1.49/1.87
% 1.49/1.87 Usable:
% 1.49/1.87 end_of_list.
% 1.49/1.87
% 1.49/1.87 Sos:
% 1.49/1.87 0 (wt=-1) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.49/1.87 0 (wt=-1) [] multiply(identity,identity) = identity.
% 1.49/1.87 0 (wt=-1) [] -(multiply(multiply(a,b),c) = multiply(a,multiply(b,c))).
% 1.49/1.87 end_of_list.
% 1.49/1.87
% 1.49/1.87 Demodulators:
% 1.49/1.87 end_of_list.
% 1.49/1.87
% 1.49/1.87 Passive:
% 1.49/1.87 end_of_list.
% 1.49/1.87
% 1.49/1.87 Starting to process input.
% 1.49/1.87
% 1.49/1.87 ** KEPT: 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.49/1.87 1 is a new demodulator.
% 1.49/1.87
% 1.49/1.87 ** KEPT: 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.49/1.87 2 is a new demodulator.
% 1.49/1.87
% 1.49/1.87 ** KEPT: 3 (wt=11) [] -(multiply(multiply(a,b),c) = multiply(a,multiply(b,c))).
% 1.49/1.87 ---------------- PROOF FOUND ----------------
% 1.49/1.87 % SZS status Unsatisfiable
% 1.49/1.87
% 1.49/1.87
% 1.49/1.87 After processing input:
% 1.49/1.87
% 1.49/1.87 Usable:
% 1.49/1.87 end_of_list.
% 1.49/1.87
% 1.49/1.87 Sos:
% 1.49/1.87 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.49/1.87 3 (wt=11) [] -(multiply(multiply(a,b),c) = multiply(a,multiply(b,c))).
% 1.49/1.87 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.49/1.87 end_of_list.
% 1.49/1.87
% 1.49/1.87 Demodulators:
% 1.49/1.87 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.49/1.87 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.49/1.87 end_of_list.
% 1.49/1.87
% 1.49/1.87 Passive:
% 1.49/1.87 end_of_list.
% 1.49/1.87
% 1.49/1.87 UNIT CONFLICT from 1831 and 3 at 0.71 seconds.
% 1.49/1.87
% 1.49/1.87 ---------------- PROOF ----------------
% 1.49/1.87 % SZS output start Refutation
% See solution above
% 1.49/1.87 ------------ end of proof -------------
% 1.49/1.87
% 1.49/1.87
% 1.49/1.87 ------------- memory usage ------------
% 1.49/1.87 Memory dynamically allocated (tp_alloc): 20019.
% 1.49/1.87 type (bytes each) gets frees in use avail bytes
% 1.49/1.87 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.49/1.87 term ( 16) 566678 350177 216501 318 4227.7 K
% 1.49/1.87 gen_ptr ( 8) 1988072 331795 1656277 149 12940.8 K
% 1.49/1.87 context ( 808) 349770 349768 2 11 10.3 K
% 1.49/1.87 trail ( 12) 274991 274991 0 8 0.1 K
% 1.49/1.87 bt_node ( 68) 86521 86518 3 174 11.8 K
% 1.49/1.87 ac_position (285432) 0 0 0 0 0.0 K
% 1.49/1.87 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.49/1.87 ac_match_free_vars_pos (4020)
% 1.49/1.87 0 0 0 0 0.0 K
% 1.49/1.87 discrim ( 12) 356227 268960 87267 66962 1807.4 K
% 1.49/1.87 flat ( 40) 2021013 2021013 0 5033 196.6 K
% 1.49/1.87 discrim_pos ( 12) 18186 18186 0 1 0.0 K
% 1.49/1.87 fpa_head ( 12) 2430 0 2430 0 28.5 K
% 1.49/1.87 fpa_tree ( 28) 30176 30176 0 105 2.9 K
% 1.49/1.87 fpa_pos ( 36) 3243 3243 0 1 0.0 K
% 1.49/1.87 literal ( 12) 6939 5108 1831 1 21.5 K
% 1.49/1.87 clause ( 24) 6939 5108 1831 1 42.9 K
% 1.49/1.87 list ( 12) 1471 1402 69 1 0.8 K
% 1.49/1.87 list_pos ( 20) 12039 5971 6068 477 127.8 K
% 1.49/1.87 pair_index ( 40) 2 0 2 0 0.1 K
% 1.49/1.87
% 1.49/1.87 -------------- statistics -------------
% 1.49/1.87 Clauses input 3
% 1.49/1.87 Usable input 0
% 1.49/1.87 Sos input 3
% 1.49/1.87 Demodulators input 0
% 1.49/1.87 Passive input 0
% 1.49/1.87
% 1.49/1.87 Processed BS (before search) 3
% 1.49/1.87 Forward subsumed BS 0
% 1.49/1.87 Kept BS 3
% 1.49/1.87 New demodulators BS 2
% 1.49/1.87 Back demodulated BS 0
% 1.49/1.87
% 1.49/1.87 Clauses or pairs given 3002
% 1.49/1.87 Clauses generated 4328
% 1.49/1.87 Forward subsumed 2500
% 1.49/1.87 Deleted by weight 0
% 1.49/1.87 Deleted by variable count 0
% 1.49/1.87 Kept 1828
% 1.49/1.87 New demodulators 1410
% 1.49/1.87 Back demodulated 1224
% 1.49/1.87 Ordered paramod prunes 0
% 1.49/1.87 Basic paramod prunes 29145
% 1.49/1.87 Prime paramod prunes 318
% 1.49/1.87 Semantic prunes 0
% 1.49/1.87
% 1.49/1.87 Rewrite attmepts 270567
% 1.49/1.87 Rewrites 17401
% 1.49/1.87
% 1.49/1.87 FPA overloads 0
% 1.49/1.87 FPA underloads 0
% 1.49/1.87
% 1.49/1.87 Usable size 0
% 1.49/1.87 Sos size 606
% 1.49/1.87 Demodulators size 389
% 1.49/1.87 Passive size 0
% 1.49/1.87 Disabled size 1224
% 1.49/1.87
% 1.49/1.87 Proofs found 1
% 1.49/1.87
% 1.49/1.87 ----------- times (seconds) ----------- Tue Jun 14 00:15:41 2022
% 1.49/1.87
% 1.49/1.87 user CPU time 0.71 (0 hr, 0 min, 0 sec)
% 1.49/1.87 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.49/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.49/1.87 input time 0.00
% 1.49/1.87 paramodulation time 0.04
% 1.49/1.87 demodulation time 0.08
% 1.49/1.87 orient time 0.01
% 1.49/1.87 weigh time 0.00
% 1.49/1.87 forward subsume time 0.01
% 1.49/1.87 back demod find time 0.26
% 1.49/1.87 conflict time 0.00
% 1.49/1.87 LRPO time 0.01
% 1.49/1.87 store clause time 0.25
% 1.49/1.87 disable clause time 0.03
% 1.49/1.87 prime paramod time 0.01
% 1.49/1.87 semantics time 0.00
% 1.49/1.87
% 1.49/1.87 EQP interrupted
%------------------------------------------------------------------------------