TSTP Solution File: GRP119-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP119-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n025.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 08:44:43 EDT 2022
% Result : Unsatisfiable 1.42s 1.79s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 3
% Syntax : Number of clauses : 130 ( 130 unt; 0 nHn; 3 RR)
% Number of literals : 130 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 20 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 208 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))),B),
file('GRP119-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(identity,identity),identity),
file('GRP119-1.p',unknown),
[] ).
cnf(3,plain,
~ equal(multiply(a,multiply(a,multiply(a,a))),identity),
file('GRP119-1.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(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(43,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(47,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)],[43,4]),2,2]),
[iquote('para(43,4),demod([2,2])')] ).
cnf(81,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(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(148,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)],[25,148]),25]),
[iquote('para(25,148),demod([25])')] ).
cnf(152,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)],[148,4]),
[iquote('para(148,4)')] ).
cnf(164,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(182,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(216,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(276,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)],[81,1]),2,2]),
[iquote('para(81,1),demod([2,2])')] ).
cnf(278,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]),216]),
[iquote('para(92,1),demod([216])')] ).
cnf(280,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)],[25,278]),25]),
[iquote('para(25,278),demod([25])')] ).
cnf(281,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)],[278,83]),2,25,25]),
[iquote('para(278,83),demod([2,25,25])')] ).
cnf(282,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)],[280]),281]),
[iquote('back_demod(280),demod([281])')] ).
cnf(289,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]),281]),
[iquote('back_demod(149),demod([281])')] ).
cnf(294,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)],[25,282]),25,281]),
[iquote('para(25,282),demod([25,281])')] ).
cnf(309,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)],[25,294]),25,281]),
[iquote('para(25,294),demod([25,281])')] ).
cnf(347,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)],[289,4]),
[iquote('para(289,4)')] ).
cnf(364,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)],[294,83]),2,25,25,25,25,25,25,14,125]),1]),
[iquote('para(294,83),demod([2,25,25,25,25,25,25,14,125]),flip(1)')] ).
cnf(365,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)],[309]),364]),
[iquote('back_demod(309),demod([364])')] ).
cnf(371,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)],[364,25]),25,25,130]),
[iquote('para(364,25),demod([25,25,130])')] ).
cnf(380,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)],[371,83]),
[iquote('para(371,83)')] ).
cnf(396,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)],[365,83]),2,25,25,25,25,25,25,25,25,14,125]),
[iquote('para(365,83),demod([2,25,25,25,25,25,25,25,25,14,125])')] ).
cnf(397,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)],[347]),396]),
[iquote('back_demod(347),demod([396])')] ).
cnf(402,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)],[380,83]),
[iquote('para(380,83)')] ).
cnf(439,plain,
equal(multiply(A,multiply(B,multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))),multiply(multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))),multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))))),E))),multiply(E,multiply(E,E))),multiply(multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))),multiply(multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))),multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))))),E))),multiply(E,multiply(E,E))),multiply(multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))),multiply(multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))),multiply(multiply(B,multiply(multiply(B,B),multiply(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,C))),multiply(C,multiply(C,C))),D))),multiply(D,multiply(D,D))))),E))),multiply(E,multiply(E,E))))))),identity),
inference(para,[status(thm),theory(equality)],[29,11]),
[iquote('para(29,11)')] ).
cnf(446,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)],[371,116]),84]),1]),
[iquote('para(371,116),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(demod,[status(thm),theory(equality)],[439]),446,446,446,396,396,87,1]),
[iquote('back_demod(439),demod([446,446,446,396,396,87,1])')] ).
cnf(477,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)],[364,396]),364,364,396,396,87]),
[iquote('para(364,396),demod([364,364,396,396,87])')] ).
cnf(567,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]),477,4]),
[iquote('back_demod(106),demod([477,4])')] ).
cnf(627,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]),567]),
[iquote('back_demod(447),demod([567])')] ).
cnf(658,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)],[182]),567]),
[iquote('back_demod(182),demod([567])')] ).
cnf(676,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)],[47]),567]),
[iquote('back_demod(47),demod([567])')] ).
cnf(689,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]),567]),
[iquote('back_demod(20),demod([567])')] ).
cnf(691,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]),567,477]),
[iquote('back_demod(9),demod([567,477])')] ).
cnf(700,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]),477]),
[iquote('back_demod(16),demod([477])')] ).
cnf(702,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)],[397]),700,152]),1]),
[iquote('back_demod(397),demod([700,152]),flip(1)')] ).
cnf(730,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]),702,702,702]),
[iquote('back_demod(125),demod([702,702,702])')] ).
cnf(734,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)],[2,627]),2]),
[iquote('para(2,627),demod([2])')] ).
cnf(764,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)],[734,83]),2]),
[iquote('para(734,83),demod([2])')] ).
cnf(765,plain,
equal(multiply(multiply(A,identity),multiply(A,identity)),multiply(multiply(A,A),identity)),
inference(flip,[status(thm),theory(equality)],[764]),
[iquote('flip(764)')] ).
cnf(784,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(812,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)],[765,730]),
[iquote('para(765,730)')] ).
cnf(821,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)],[689,83]),83]),
[iquote('para(689,83),demod([83])')] ).
cnf(848,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)],[118,821]),2,25,25,25,371]),1]),
[iquote('para(118,821),demod([2,25,25,25,371]),flip(1)')] ).
cnf(851,plain,
equal(multiply(multiply(A,identity),multiply(multiply(A,A),identity)),multiply(A,multiply(multiply(A,A),identity))),
inference(para,[status(thm),theory(equality)],[821,371]),
[iquote('para(821,371)')] ).
cnf(872,plain,
equal(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(identity,multiply(identity,multiply(multiply(A,identity),identity)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[87,83]),2,25]),1]),
[iquote('para(87,83),demod([2,25]),flip(1)')] ).
cnf(877,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)],[730,821]),371,25,25,25,812]),
[iquote('para(730,821),demod([371,25,25,25,812])')] ).
cnf(917,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)],[700,83]),2,25,25,25,25,25,14]),1]),
[iquote('para(700,83),demod([2,25,25,25,25,25,14]),flip(1)')] ).
cnf(1032,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),multiply(A,identity))))),multiply(A,multiply(multiply(A,identity),identity))),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[764,848]),567]),
[iquote('para(764,848),demod([567])')] ).
cnf(1033,plain,
equal(multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,identity)))),multiply(A,multiply(multiply(A,identity),multiply(A,identity)))),identity),
inference(para,[status(thm),theory(equality)],[764,848]),
[iquote('para(764,848)')] ).
cnf(1037,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)],[764,877]),1]),
[iquote('para(764,877),flip(1)')] ).
cnf(1072,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)],[25,676]),917]),
[iquote('para(25,676),demod([917])')] ).
cnf(1103,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)],[851,4]),1037,658]),
[iquote('para(851,4),demod([1037,658])')] ).
cnf(1110,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)],[691,83]),83]),
[iquote('para(691,83),demod([83])')] ).
cnf(1113,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)],[14,1110]),2]),1]),
[iquote('para(14,1110),demod([2]),flip(1)')] ).
cnf(1128,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)],[917,1110]),917,25]),
[iquote('para(917,1110),demod([917,25])')] ).
cnf(1129,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)],[1128]),
[iquote('flip(1128)')] ).
cnf(1144,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)],[1113,25]),1]),
[iquote('para(1113,25),flip(1)')] ).
cnf(1147,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)],[25,1129]),1]),
[iquote('para(25,1129),flip(1)')] ).
cnf(1148,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)],[1144]),1147,25,14,25]),1]),
[iquote('back_demod(1144),demod([1147,25,14,25]),flip(1)')] ).
cnf(1200,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)],[164]),1148,1148,2,14]),
[iquote('back_demod(164),demod([1148,1148,2,14])')] ).
cnf(1258,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)],[764,1200]),567]),
[iquote('para(764,1200),demod([567])')] ).
cnf(1486,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)],[917,676]),917]),
[iquote('para(917,676),demod([917])')] ).
cnf(1487,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)],[2,1486]),2,917]),
[iquote('para(2,1486),demod([2,917])')] ).
cnf(1488,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)],[1487,25]),1148,2]),1]),
[iquote('para(1487,25),demod([1148,2]),flip(1)')] ).
cnf(1611,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)],[25,1258]),25,25,917]),
[iquote('para(25,1258),demod([25,25,917])')] ).
cnf(1615,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)],[1488,25]),1148,2,14]),1]),
[iquote('para(1488,25),demod([1148,2,14]),flip(1)')] ).
cnf(1621,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity)))),multiply(identity,multiply(multiply(identity,A),multiply(multiply(A,identity),identity)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,152]),917,917,1148,2,1148,2,917,917,917,917,1148,2,1148,2,917,917,917,917,1148,2,1148,2,917,917,917,917,917,917,872,14,917,917]),1]),
[iquote('para(14,152),demod([917,917,1148,2,1148,2,917,917,917,917,1148,2,1148,2,917,917,917,917,1148,2,1148,2,917,917,917,917,917,917,872,14,917,917]),flip(1)')] ).
cnf(1625,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)],[1615,1110]),1148,371]),1]),
[iquote('para(1615,1110),demod([1148,371]),flip(1)')] ).
cnf(1626,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)],[1110,1615]),
[iquote('para(1110,1615)')] ).
cnf(1627,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)],[1626]),
[iquote('flip(1626)')] ).
cnf(1628,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,identity)),multiply(multiply(multiply(A,identity),identity),identity)))),multiply(multiply(A,A),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[152,25]),1147,25,872,1148,2,917,917]),1]),
[iquote('para(152,25),demod([1147,25,872,1148,2,917,917]),flip(1)')] ).
cnf(1630,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)],[2,1625]),2,2]),
[iquote('para(2,1625),demod([2,2])')] ).
cnf(1631,plain,
equal(multiply(A,identity),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1103]),1630,14]),1]),
[iquote('back_demod(1103),demod([1630,14]),flip(1)')] ).
cnf(1634,plain,
equal(multiply(identity,multiply(identity,multiply(multiply(identity,A),A))),multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1628]),1631,1631,1631,1631,1631]),
[iquote('back_demod(1628),demod([1631,1631,1631,1631,1631])')] ).
cnf(1635,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)],[1627]),1631,1631,1631]),1]),
[iquote('back_demod(1627),demod([1631,1631,1631]),flip(1)')] ).
cnf(1640,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)],[402]),1631,1631,1631,1631]),
[iquote('back_demod(402),demod([1631,1631,1631,1631])')] ).
cnf(1667,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)],[276]),1640,1631,1631,1631]),1]),
[iquote('back_demod(276),demod([1640,1631,1631,1631]),flip(1)')] ).
cnf(1680,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)],[784]),1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1640,567,1631,1631,1631,1631]),
[iquote('back_demod(784),demod([1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1631,1640,567,1631,1631,1631,1631])')] ).
cnf(1684,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)],[1072]),1631,1635]),
[iquote('back_demod(1072),demod([1631,1635])')] ).
cnf(1695,plain,
equal(multiply(identity,multiply(multiply(identity,A),A)),multiply(identity,multiply(identity,multiply(A,A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1621]),1631,1631,1631,1631,1631,1631]),1]),
[iquote('back_demod(1621),demod([1631,1631,1631,1631,1631,1631]),flip(1)')] ).
cnf(1698,plain,
equal(multiply(identity,multiply(identity,multiply(identity,multiply(A,A)))),multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1634]),1695]),
[iquote('back_demod(1634),demod([1695])')] ).
cnf(1699,plain,
equal(multiply(multiply(A,A),multiply(A,A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1032]),1631,1631,1698,1631,1631]),
[iquote('back_demod(1032),demod([1631,1631,1698,1631,1631])')] ).
cnf(1702,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)],[1667]),1699,1631]),1]),
[iquote('back_demod(1667),demod([1699,1631]),flip(1)')] ).
cnf(1706,plain,
equal(multiply(identity,multiply(A,A)),multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1680]),1702]),
[iquote('back_demod(1680),demod([1702])')] ).
cnf(1712,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)],[1684]),1706]),
[iquote('back_demod(1684),demod([1706])')] ).
cnf(1713,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)],[1611]),1631,1631,1631,1706,1712]),1]),
[iquote('back_demod(1611),demod([1631,1631,1631,1706,1712]),flip(1)')] ).
cnf(1731,plain,
equal(multiply(A,multiply(A,multiply(A,A))),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1033]),1631,1713,1631,1631]),
[iquote('back_demod(1033),demod([1631,1713,1631,1631])')] ).
cnf(1732,plain,
$false,
inference(conflict,[status(thm)],[1731,3]),
[iquote('conflict(1731,3)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP119-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : tptp2X_and_run_eqp %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 00:40:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.42/1.79 ----- EQP 0.9e, May 2009 -----
% 1.42/1.79 The job began on n025.cluster.edu, Tue Jun 14 00:40:40 2022
% 1.42/1.79 The command was "./eqp09e".
% 1.42/1.79
% 1.42/1.79 set(prolog_style_variables).
% 1.42/1.79 set(lrpo).
% 1.42/1.79 set(basic_paramod).
% 1.42/1.79 set(functional_subsume).
% 1.42/1.79 set(ordered_paramod).
% 1.42/1.79 set(prime_paramod).
% 1.42/1.79 set(para_pairs).
% 1.42/1.79 assign(pick_given_ratio,4).
% 1.42/1.79 clear(print_kept).
% 1.42/1.79 clear(print_new_demod).
% 1.42/1.79 clear(print_back_demod).
% 1.42/1.79 clear(print_given).
% 1.42/1.79 assign(max_mem,64000).
% 1.42/1.79 end_of_commands.
% 1.42/1.79
% 1.42/1.79 Usable:
% 1.42/1.79 end_of_list.
% 1.42/1.79
% 1.42/1.79 Sos:
% 1.42/1.79 0 (wt=-1) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.42/1.79 0 (wt=-1) [] multiply(identity,identity) = identity.
% 1.42/1.79 0 (wt=-1) [] -(multiply(a,multiply(a,multiply(a,a))) = identity).
% 1.42/1.79 end_of_list.
% 1.42/1.79
% 1.42/1.79 Demodulators:
% 1.42/1.79 end_of_list.
% 1.42/1.79
% 1.42/1.79 Passive:
% 1.42/1.79 end_of_list.
% 1.42/1.79
% 1.42/1.79 Starting to process input.
% 1.42/1.79
% 1.42/1.79 ** KEPT: 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.42/1.79 1 is a new demodulator.
% 1.42/1.79
% 1.42/1.79 ** KEPT: 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.42/1.79 2 is a new demodulator.
% 1.42/1.79
% 1.42/1.79 ** KEPT: 3 (wt=9) [] -(multiply(a,multiply(a,multiply(a,a))) = identity).
% 1.42/1.79 ---------------- PROOF FOUND ----------------
% 1.42/1.79 % SZS status Unsatisfiable
% 1.42/1.79
% 1.42/1.79
% 1.42/1.79 After processing input:
% 1.42/1.79
% 1.42/1.79 Usable:
% 1.42/1.79 end_of_list.
% 1.42/1.79
% 1.42/1.79 Sos:
% 1.42/1.79 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.42/1.79 3 (wt=9) [] -(multiply(a,multiply(a,multiply(a,a))) = identity).
% 1.42/1.79 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.42/1.79 end_of_list.
% 1.42/1.79
% 1.42/1.79 Demodulators:
% 1.42/1.79 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.42/1.79 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.42/1.79 end_of_list.
% 1.42/1.79
% 1.42/1.79 Passive:
% 1.42/1.79 end_of_list.
% 1.42/1.79
% 1.42/1.79 UNIT CONFLICT from 1731 and 3 at 0.65 seconds.
% 1.42/1.79
% 1.42/1.79 ---------------- PROOF ----------------
% 1.42/1.79 % SZS output start Refutation
% See solution above
% 1.42/1.79 ------------ end of proof -------------
% 1.42/1.79
% 1.42/1.79
% 1.42/1.79 ------------- memory usage ------------
% 1.42/1.79 Memory dynamically allocated (tp_alloc): 19042.
% 1.42/1.79 type (bytes each) gets frees in use avail bytes
% 1.42/1.79 sym_ent ( 96) 54 0 54 0 5.1 K
% 1.42/1.79 term ( 16) 498133 291020 207113 366 4045.6 K
% 1.42/1.79 gen_ptr ( 8) 1869150 285542 1583608 129 12372.9 K
% 1.42/1.79 context ( 808) 331705 331703 2 7 7.1 K
% 1.42/1.79 trail ( 12) 113865 113865 0 8 0.1 K
% 1.42/1.79 bt_node ( 68) 88608 88605 3 174 11.8 K
% 1.42/1.79 ac_position (285432) 0 0 0 0 0.0 K
% 1.42/1.79 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.42/1.79 ac_match_free_vars_pos (4020)
% 1.42/1.79 0 0 0 0 0.0 K
% 1.42/1.79 discrim ( 12) 340585 234987 105598 48810 1809.5 K
% 1.42/1.79 flat ( 40) 1889581 1889581 0 5033 196.6 K
% 1.42/1.79 discrim_pos ( 12) 13119 13119 0 1 0.0 K
% 1.42/1.79 fpa_head ( 12) 2376 0 2376 0 27.8 K
% 1.42/1.79 fpa_tree ( 28) 29321 29321 0 105 2.9 K
% 1.42/1.79 fpa_pos ( 36) 3050 3050 0 1 0.0 K
% 1.42/1.79 literal ( 12) 6495 4764 1731 1 20.3 K
% 1.42/1.79 clause ( 24) 6495 4764 1731 1 40.6 K
% 1.42/1.79 list ( 12) 1378 1314 64 2 0.8 K
% 1.42/1.79 list_pos ( 20) 9376 4351 5025 84 99.8 K
% 1.42/1.79 pair_index ( 40) 2 0 2 0 0.1 K
% 1.42/1.79
% 1.42/1.79 -------------- statistics -------------
% 1.42/1.79 Clauses input 3
% 1.42/1.79 Usable input 0
% 1.42/1.79 Sos input 3
% 1.42/1.79 Demodulators input 0
% 1.42/1.79 Passive input 0
% 1.42/1.79
% 1.42/1.79 Processed BS (before search) 3
% 1.42/1.79 Forward subsumed BS 0
% 1.42/1.79 Kept BS 3
% 1.42/1.79 New demodulators BS 2
% 1.42/1.79 Back demodulated BS 0
% 1.42/1.79
% 1.42/1.79 Clauses or pairs given 3053
% 1.42/1.79 Clauses generated 3998
% 1.42/1.79 Forward subsumed 2270
% 1.42/1.79 Deleted by weight 0
% 1.42/1.79 Deleted by variable count 0
% 1.42/1.79 Kept 1728
% 1.42/1.79 New demodulators 1317
% 1.42/1.79 Back demodulated 890
% 1.42/1.79 Ordered paramod prunes 0
% 1.42/1.79 Basic paramod prunes 29261
% 1.42/1.79 Prime paramod prunes 321
% 1.42/1.79 Semantic prunes 0
% 1.42/1.79
% 1.42/1.79 Rewrite attmepts 250828
% 1.42/1.79 Rewrites 12335
% 1.42/1.79
% 1.42/1.79 FPA overloads 0
% 1.42/1.79 FPA underloads 0
% 1.42/1.79
% 1.42/1.79 Usable size 0
% 1.42/1.79 Sos size 840
% 1.42/1.79 Demodulators size 571
% 1.42/1.79 Passive size 0
% 1.42/1.79 Disabled size 890
% 1.42/1.79
% 1.42/1.79 Proofs found 1
% 1.42/1.79
% 1.42/1.79 ----------- times (seconds) ----------- Tue Jun 14 00:40:40 2022
% 1.42/1.79
% 1.42/1.79 user CPU time 0.65 (0 hr, 0 min, 0 sec)
% 1.42/1.79 system CPU time 0.10 (0 hr, 0 min, 0 sec)
% 1.42/1.79 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 1.42/1.79 input time 0.00
% 1.42/1.79 paramodulation time 0.04
% 1.42/1.79 demodulation time 0.07
% 1.42/1.79 orient time 0.01
% 1.42/1.79 weigh time 0.01
% 1.42/1.79 forward subsume time 0.01
% 1.42/1.79 back demod find time 0.21
% 1.42/1.79 conflict time 0.00
% 1.42/1.79 LRPO time 0.01
% 1.42/1.79 store clause time 0.25
% 1.42/1.79 disable clause time 0.02
% 1.42/1.79 prime paramod time 0.02
% 1.42/1.79 semantics time 0.00
% 1.42/1.79
% 1.42/1.79 EQP interrupted
%------------------------------------------------------------------------------