TSTP Solution File: GRP120-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP120-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n018.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 08:44:45 EDT 2022
% Result : Unsatisfiable 1.46s 1.86s
% Output : Refutation 1.46s
% 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('GRP120-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(identity,identity),identity),
file('GRP120-1.p',unknown),
[] ).
cnf(3,plain,
~ equal(multiply(identity,a),a),
file('GRP120-1.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(18,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(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,1]),2,2]),1]),
[iquote('para(5,1),demod([2,2]),flip(1)')] ).
cnf(19,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(20,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(21,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)],[20]),
[iquote('flip(20)')] ).
cnf(22,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),B)),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(B,identity))),identity),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(B,identity))),identity),multiply(multiply(C,multiply(multiply(C,C),multiply(B,identity))),identity))))),C),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(24,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(28,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(29,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)],[24,13]),13,14]),1]),
[iquote('para(24,13),demod([13,14]),flip(1)')] ).
cnf(32,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)],[4,29]),1]),
[iquote('para(4,29),flip(1)')] ).
cnf(35,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(44,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(50,plain,
equal(multiply(multiply(A,A),multiply(multiply(A,multiply(multiply(A,identity),identity)),identity)),identity),
inference(para,[status(thm),theory(equality)],[18,5]),
[iquote('para(18,5)')] ).
cnf(65,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)],[50,4]),2,2]),
[iquote('para(50,4),demod([2,2])')] ).
cnf(79,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(80,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)],[5,79]),2]),1]),
[iquote('para(5,79),demod([2]),flip(1)')] ).
cnf(83,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)],[19]),80,80,80]),
[iquote('back_demod(19),demod([80,80,80])')] ).
cnf(85,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]),80]),
[iquote('back_demod(5),demod([80])')] ).
cnf(88,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)],[29,85]),29]),
[iquote('para(29,85),demod([29])')] ).
cnf(94,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(95,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)],[94]),
[iquote('flip(94)')] ).
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)],[6,79]),1]),
[iquote('para(6,79),flip(1)')] ).
cnf(102,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),B)),multiply(multiply(multiply(C,C),multiply(multiply(C,multiply(B,identity)),identity)),multiply(multiply(multiply(C,C),multiply(multiply(C,multiply(B,identity)),identity)),multiply(multiply(C,C),multiply(multiply(C,multiply(B,identity)),identity)))))),C),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),97,97,97]),
[iquote('back_demod(22),demod([97,97,97])')] ).
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(104,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)],[29,103]),
[iquote('para(29,103)')] ).
cnf(105,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)],[79,79]),
[iquote('para(79,79)')] ).
cnf(110,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)],[29,104]),
[iquote('para(29,104)')] ).
cnf(112,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)],[4,79]),2,29]),
[iquote('para(4,79),demod([2,29])')] ).
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)],[2,112]),2,2,2]),1]),
[iquote('para(2,112),demod([2,2,2]),flip(1)')] ).
cnf(122,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)],[118,79]),2,29,29,29,29,29,29,14]),
[iquote('para(118,79),demod([2,29,29,29,29,29,29,14])')] ).
cnf(127,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)],[80,14]),
[iquote('para(80,14)')] ).
cnf(132,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)],[2,105]),
[iquote('para(2,105)')] ).
cnf(133,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)],[132]),
[iquote('flip(132)')] ).
cnf(144,plain,
equal(multiply(multiply(A,A),multiply(multiply(A,A),multiply(multiply(A,identity),identity))),A),
inference(para,[status(thm),theory(equality)],[80,79]),
[iquote('para(80,79)')] ).
cnf(145,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)],[29,144]),29]),
[iquote('para(29,144),demod([29])')] ).
cnf(149,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)],[144,4]),
[iquote('para(144,4)')] ).
cnf(161,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)],[29,110]),
[iquote('para(29,110)')] ).
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)],[18,79]),
[iquote('para(18,79)')] ).
cnf(178,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(186,plain,
equal(multiply(A,multiply(multiply(A,multiply(A,multiply(multiply(A,identity),identity))),identity)),multiply(multiply(A,A),multiply(A,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,1]),2,2]),
[iquote('para(18,1),demod([2,2])')] ).
cnf(216,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)],[35,79]),2,2,2,2,2]),1]),
[iquote('para(35,79),demod([2,2,2,2,2]),flip(1)')] ).
cnf(221,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)],[216,79]),2]),1]),
[iquote('para(216,79),demod([2]),flip(1)')] ).
cnf(284,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)],[88,1]),221]),
[iquote('para(88,1),demod([221])')] ).
cnf(285,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)],[29,284]),29]),
[iquote('para(29,284),demod([29])')] ).
cnf(286,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)],[284,79]),2,29,29]),
[iquote('para(284,79),demod([2,29,29])')] ).
cnf(287,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)],[285]),286]),
[iquote('back_demod(285),demod([286])')] ).
cnf(294,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)],[145]),286]),
[iquote('back_demod(145),demod([286])')] ).
cnf(298,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)],[29,287]),29,286]),
[iquote('para(29,287),demod([29,286])')] ).
cnf(312,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)],[29,298]),29,286]),
[iquote('para(29,298),demod([29,286])')] ).
cnf(333,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)],[186,1]),2,2]),
[iquote('para(186,1),demod([2,2])')] ).
cnf(358,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)],[294,4]),
[iquote('para(294,4)')] ).
cnf(373,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)],[298,79]),2,29,29,29,29,29,29,14,122]),1]),
[iquote('para(298,79),demod([2,29,29,29,29,29,29,14,122]),flip(1)')] ).
cnf(374,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)],[312]),373]),
[iquote('back_demod(312),demod([373])')] ).
cnf(375,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)],[373,29]),29,29,127]),
[iquote('para(373,29),demod([29,29,127])')] ).
cnf(387,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)],[375,79]),
[iquote('para(375,79)')] ).
cnf(401,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)],[374,79]),2,29,29,29,29,29,29,29,29,14,122]),
[iquote('para(374,79),demod([2,29,29,29,29,29,29,29,29,14,122])')] ).
cnf(402,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)],[358]),401]),
[iquote('back_demod(358),demod([401])')] ).
cnf(413,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)],[387,79]),
[iquote('para(387,79)')] ).
cnf(418,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)],[28,11]),
[iquote('para(28,11)')] ).
cnf(453,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)],[375,112]),80]),1]),
[iquote('para(375,112),demod([80]),flip(1)')] ).
cnf(454,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)],[418]),453,453,453,401,401,83,1]),
[iquote('back_demod(418),demod([453,453,453,401,401,83,1])')] ).
cnf(473,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)],[373,1]),401,401,83]),
[iquote('para(373,1),demod([401,401,83])')] ).
cnf(474,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)],[473,79]),2]),1]),
[iquote('para(473,79),demod([2]),flip(1)')] ).
cnf(484,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)],[373,401]),373,373,401,401,83]),
[iquote('para(373,401),demod([373,373,401,401,83])')] ).
cnf(576,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)],[95]),484,4]),
[iquote('back_demod(95),demod([484,4])')] ).
cnf(633,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)],[454]),576]),
[iquote('back_demod(454),demod([576])')] ).
cnf(668,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)],[178]),576]),
[iquote('back_demod(178),demod([576])')] ).
cnf(690,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)],[44]),576]),
[iquote('back_demod(44),demod([576])')] ).
cnf(698,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)],[21]),576]),
[iquote('back_demod(21),demod([576])')] ).
cnf(700,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]),576,484]),
[iquote('back_demod(9),demod([576,484])')] ).
cnf(709,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]),484]),
[iquote('back_demod(16),demod([484])')] ).
cnf(711,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)],[402]),709,149]),1]),
[iquote('back_demod(402),demod([709,149]),flip(1)')] ).
cnf(742,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)],[122]),711,711,711]),
[iquote('back_demod(122),demod([711,711,711])')] ).
cnf(747,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)],[2,633]),2]),
[iquote('para(2,633),demod([2])')] ).
cnf(771,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)],[747,79]),2]),
[iquote('para(747,79),demod([2])')] ).
cnf(772,plain,
equal(multiply(multiply(A,identity),multiply(A,identity)),multiply(multiply(A,A),identity)),
inference(flip,[status(thm),theory(equality)],[771]),
[iquote('flip(771)')] ).
cnf(773,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)],[65,4]),
[iquote('para(65,4)')] ).
cnf(833,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)],[772,742]),
[iquote('para(772,742)')] ).
cnf(843,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)],[698,79]),79]),
[iquote('para(698,79),demod([79])')] ).
cnf(865,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)],[118,843]),2,29,29,29,375]),1]),
[iquote('para(118,843),demod([2,29,29,29,375]),flip(1)')] ).
cnf(872,plain,
equal(multiply(multiply(A,identity),multiply(multiply(A,A),identity)),multiply(A,multiply(multiply(A,A),identity))),
inference(para,[status(thm),theory(equality)],[843,375]),
[iquote('para(843,375)')] ).
cnf(902,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)],[742,843]),375,29,29,29,833]),
[iquote('para(742,843),demod([375,29,29,29,833])')] ).
cnf(941,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)],[375,698]),1]),
[iquote('para(375,698),flip(1)')] ).
cnf(945,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)],[709,79]),2,29,29,29,29,29,14]),1]),
[iquote('para(709,79),demod([2,29,29,29,29,29,14]),flip(1)')] ).
cnf(955,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)],[105,79]),
[iquote('para(105,79)')] ).
cnf(974,plain,
equal(multiply(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,A),multiply(A,A))),multiply(multiply(multiply(A,multiply(multiply(A,B),identity)),identity),identity)),multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(multiply(A,A),multiply(B,identity))),identity)),identity)),
inference(para,[status(thm),theory(equality)],[105,105]),
[iquote('para(105,105)')] ).
cnf(975,plain,
equal(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(multiply(A,A),multiply(B,identity))),identity)),identity),multiply(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,A),multiply(A,A))),multiply(multiply(multiply(A,multiply(multiply(A,B),identity)),identity),identity))),
inference(flip,[status(thm),theory(equality)],[974]),
[iquote('flip(974)')] ).
cnf(1067,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)],[771,902]),1]),
[iquote('para(771,902),flip(1)')] ).
cnf(1112,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)],[29,690]),945]),
[iquote('para(29,690),demod([945])')] ).
cnf(1129,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)],[872,4]),1067,668]),
[iquote('para(872,4),demod([1067,668])')] ).
cnf(1136,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)],[700,79]),79]),
[iquote('para(700,79),demod([79])')] ).
cnf(1140,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)],[14,1136]),2]),1]),
[iquote('para(14,1136),demod([2]),flip(1)')] ).
cnf(1148,plain,
equal(multiply(multiply(multiply(A,identity),multiply(B,C)),identity),multiply(multiply(multiply(A,B),identity),multiply(identity,multiply(C,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1136,843]),29]),
[iquote('para(1136,843),demod([29])')] ).
cnf(1149,plain,
equal(multiply(multiply(multiply(A,B),identity),multiply(identity,multiply(C,identity))),multiply(multiply(multiply(A,identity),multiply(B,C)),identity)),
inference(flip,[status(thm),theory(equality)],[1148]),
[iquote('flip(1148)')] ).
cnf(1155,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)],[945,1136]),945,29]),
[iquote('para(945,1136),demod([945,29])')] ).
cnf(1156,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)],[1155]),
[iquote('flip(1155)')] ).
cnf(1175,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)],[1140,29]),1]),
[iquote('para(1140,29),flip(1)')] ).
cnf(1179,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)],[29,1156]),1]),
[iquote('para(29,1156),flip(1)')] ).
cnf(1180,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)],[1175]),1179,29,14,29]),1]),
[iquote('back_demod(1175),demod([1179,29,14,29]),flip(1)')] ).
cnf(1232,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)],[161]),1180,1180,2,14]),
[iquote('back_demod(161),demod([1180,1180,2,14])')] ).
cnf(1241,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)],[32]),1179,29,29,375,945]),
[iquote('back_demod(32),demod([1179,29,29,375,945])')] ).
cnf(1258,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)],[742,1136]),1180,2,29]),1]),
[iquote('para(742,1136),demod([1180,2,29]),flip(1)')] ).
cnf(1267,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(multiply(B,B),identity))),multiply(multiply(multiply(multiply(multiply(B,B),multiply(B,B)),multiply(multiply(B,B),multiply(B,B))),multiply(multiply(multiply(multiply(B,B),multiply(B,B)),multiply(multiply(multiply(B,B),identity),identity)),identity)),multiply(multiply(multiply(multiply(multiply(B,B),multiply(B,B)),multiply(multiply(B,B),multiply(B,B))),multiply(multiply(multiply(multiply(B,B),multiply(B,B)),multiply(multiply(multiply(B,B),identity),identity)),identity)),multiply(multiply(multiply(multiply(B,B),multiply(B,B)),multiply(multiply(B,B),multiply(B,B))),multiply(multiply(multiply(B,multiply(multiply(B,identity),identity)),identity),identity)))))),multiply(multiply(B,B),multiply(B,B))),
inference(para,[status(thm),theory(equality)],[132,102]),
[iquote('para(132,102)')] ).
cnf(1269,plain,
equal(multiply(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,A),multiply(A,A))),multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),identity)),multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(multiply(A,A),identity)),identity)),identity)),
inference(para,[status(thm),theory(equality)],[132,105]),
[iquote('para(132,105)')] ).
cnf(1270,plain,
equal(multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(multiply(A,A),identity)),identity)),identity),multiply(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(A,A),multiply(A,A))),multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),identity),identity))),
inference(flip,[status(thm),theory(equality)],[1269]),
[iquote('flip(1269)')] ).
cnf(1294,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)],[771,1232]),576]),
[iquote('para(771,1232),demod([576])')] ).
cnf(1302,plain,
equal(multiply(identity,multiply(identity,multiply(identity,multiply(multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),multiply(A,multiply(multiply(A,identity),identity))),multiply(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(multiply(multiply(A,A),identity),identity)),identity)),identity)))),multiply(multiply(A,multiply(multiply(A,identity),identity)),multiply(multiply(multiply(A,multiply(multiply(A,identity),identity)),multiply(A,multiply(multiply(A,identity),identity))),identity))),
inference(para,[status(thm),theory(equality)],[133,127]),
[iquote('para(133,127)')] ).
cnf(1378,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)],[375,865]),941,375]),
[iquote('para(375,865),demod([941,375])')] ).
cnf(1524,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)],[945,690]),945]),
[iquote('para(945,690),demod([945])')] ).
cnf(1525,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)],[2,1524]),2,945]),
[iquote('para(2,1524),demod([2,945])')] ).
cnf(1526,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)],[1525,29]),1180,2]),1]),
[iquote('para(1525,29),demod([1180,2]),flip(1)')] ).
cnf(1598,plain,
equal(multiply(multiply(multiply(A,B),identity),multiply(identity,multiply(multiply(C,identity),multiply(C,identity)))),multiply(multiply(multiply(A,identity),multiply(B,multiply(C,C))),identity)),
inference(para,[status(thm),theory(equality)],[771,1149]),
[iquote('para(771,1149)')] ).
cnf(1599,plain,
equal(multiply(multiply(multiply(A,identity),multiply(B,multiply(C,C))),identity),multiply(multiply(multiply(A,B),identity),multiply(identity,multiply(multiply(C,identity),multiply(C,identity))))),
inference(flip,[status(thm),theory(equality)],[1598]),
[iquote('flip(1598)')] ).
cnf(1638,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)],[1241,29]),1179,29,14,29,80]),
[iquote('para(1241,29),demod([1179,29,14,29,80])')] ).
cnf(1639,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)],[1638]),
[iquote('flip(1638)')] ).
cnf(1659,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)],[772,1639]),
[iquote('para(772,1639)')] ).
cnf(1668,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)],[29,1294]),29,29,945]),
[iquote('para(29,1294),demod([29,29,945])')] ).
cnf(1673,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)],[1526,29]),1180,2,14]),1]),
[iquote('para(1526,29),demod([1180,2,14]),flip(1)')] ).
cnf(1679,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)],[1673,1136]),1180,375]),1]),
[iquote('para(1673,1136),demod([1180,375]),flip(1)')] ).
cnf(1680,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)],[1136,1673]),
[iquote('para(1136,1673)')] ).
cnf(1681,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)],[1680]),
[iquote('flip(1680)')] ).
cnf(1683,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)],[2,1679]),2,2]),
[iquote('para(2,1679),demod([2,2])')] ).
cnf(1684,plain,
equal(multiply(A,identity),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1129]),1683,14]),1]),
[iquote('back_demod(1129),demod([1683,14]),flip(1)')] ).
cnf(1687,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)],[1681]),1684,1684,1684]),1]),
[iquote('back_demod(1681),demod([1684,1684,1684]),flip(1)')] ).
cnf(1692,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)],[413]),1684,1684,1684,1684]),
[iquote('back_demod(413),demod([1684,1684,1684,1684])')] ).
cnf(1701,plain,
equal(multiply(multiply(A,multiply(A,multiply(A,A))),multiply(A,A)),multiply(multiply(A,A),multiply(multiply(A,A),multiply(A,A)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1270]),1684,1684,1684,1692,1684,1684,1684,1684]),1]),
[iquote('back_demod(1270),demod([1684,1684,1684,1692,1684,1684,1684,1684]),flip(1)')] ).
cnf(1703,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,B))),multiply(multiply(multiply(B,multiply(B,multiply(B,B))),multiply(multiply(multiply(B,B),multiply(B,B)),multiply(B,B))),multiply(multiply(multiply(B,multiply(B,multiply(B,B))),multiply(multiply(multiply(B,B),multiply(B,B)),multiply(B,B))),multiply(multiply(B,B),multiply(multiply(B,B),multiply(B,B))))))),multiply(multiply(B,B),multiply(B,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1267]),1684,1692,1684,1684,1684,1692,1684,1684,1684,1692,1684,1684,1684,1684,1701]),
[iquote('back_demod(1267),demod([1684,1692,1684,1684,1684,1692,1684,1684,1684,1692,1684,1684,1684,1684,1701])')] ).
cnf(1706,plain,
equal(multiply(multiply(A,multiply(A,multiply(A,A))),multiply(A,multiply(A,B))),multiply(multiply(A,A),multiply(multiply(A,A),multiply(multiply(A,A),B)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[975]),1684,1684,1684,1692,1684,1684,1684]),1]),
[iquote('back_demod(975),demod([1684,1684,1684,1692,1684,1684,1684]),flip(1)')] ).
cnf(1713,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)],[955]),1692,1684,1684,1684,1684,1684,1684]),
[iquote('back_demod(955),demod([1692,1684,1684,1684,1684,1684,1684])')] ).
cnf(1715,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)],[333]),1692,1684,1684,1684]),1]),
[iquote('back_demod(333),demod([1692,1684,1684,1684]),flip(1)')] ).
cnf(1720,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,B))),multiply(multiply(multiply(B,multiply(B,multiply(B,B))),multiply(multiply(multiply(B,B),multiply(B,B)),multiply(B,B))),multiply(multiply(multiply(B,multiply(B,multiply(B,B))),multiply(multiply(multiply(B,B),multiply(B,B)),multiply(B,B))),multiply(B,multiply(B,multiply(B,multiply(B,multiply(B,B))))))))),multiply(multiply(B,B),multiply(B,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1703]),1715]),
[iquote('back_demod(1703),demod([1715])')] ).
cnf(1725,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)],[773]),1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1692,576,1684,1684,1684,1684]),
[iquote('back_demod(773),demod([1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1684,1692,576,1684,1684,1684,1684])')] ).
cnf(1728,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)],[387]),1684,1684]),
[iquote('back_demod(387),demod([1684,1684])')] ).
cnf(1729,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)],[1112]),1684,1687]),
[iquote('back_demod(1112),demod([1684,1687])')] ).
cnf(1730,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)],[474]),1687,1684,1684]),1]),
[iquote('back_demod(474),demod([1687,1684,1684]),flip(1)')] ).
cnf(1733,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,B))),multiply(multiply(B,multiply(B,multiply(B,multiply(B,multiply(B,B))))),multiply(multiply(B,multiply(B,multiply(B,multiply(B,multiply(B,B))))),multiply(B,multiply(B,multiply(B,multiply(B,multiply(B,B))))))))),multiply(multiply(B,B),multiply(B,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1720]),1730,1715,1706,1728,1715,1730,1715,1706,1728,1715]),
[iquote('back_demod(1720),demod([1730,1715,1706,1728,1715,1730,1715,1706,1728,1715])')] ).
cnf(1744,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)],[1668]),1684,1684,1684,1729]),1]),
[iquote('back_demod(1668),demod([1684,1684,1684,1729]),flip(1)')] ).
cnf(1758,plain,
equal(multiply(multiply(A,multiply(A,A)),multiply(identity,A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1378]),1684,1744,1684,1684,484]),
[iquote('back_demod(1378),demod([1684,1744,1684,1684,484])')] ).
cnf(1763,plain,
equal(multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,multiply(A,multiply(A,multiply(A,multiply(A,A)))))),multiply(A,multiply(A,multiply(A,multiply(A,multiply(A,A)))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1302]),1684,1684,1684,1684,1684,1684,1730,1715,1684,1684,1744,1684,1684,1684,1684,1684,1684,1684,1715]),
[iquote('back_demod(1302),demod([1684,1684,1684,1684,1684,1684,1730,1715,1684,1684,1744,1684,1684,1684,1684,1684,1684,1684,1715])')] ).
cnf(1764,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)],[1258]),1684,1744]),1]),
[iquote('back_demod(1258),demod([1684,1744]),flip(1)')] ).
cnf(1765,plain,
equal(multiply(multiply(A,A),multiply(A,A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1758]),1764]),
[iquote('back_demod(1758),demod([1764])')] ).
cnf(1766,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)],[1763]),1765,1725]),1]),
[iquote('back_demod(1763),demod([1765,1725]),flip(1)')] ).
cnf(1767,plain,
equal(multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,B))),multiply(B,B))),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1733]),1766,1766,1766,1765,1684,1765]),
[iquote('back_demod(1733),demod([1766,1766,1766,1765,1684,1765])')] ).
cnf(1768,plain,
equal(multiply(identity,multiply(A,A)),multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1725]),1766]),
[iquote('back_demod(1725),demod([1766])')] ).
cnf(1770,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)],[1729]),1768]),
[iquote('back_demod(1729),demod([1768])')] ).
cnf(1771,plain,
equal(multiply(multiply(A,B),multiply(C,C)),multiply(A,multiply(B,multiply(C,C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1599]),1684,1684,1684,1684,1684,1768]),1]),
[iquote('back_demod(1599),demod([1684,1684,1684,1684,1684,1768]),flip(1)')] ).
cnf(1772,plain,
equal(multiply(A,multiply(A,multiply(A,A))),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1767]),1771,1771,1771,1771,1765,1684]),
[iquote('back_demod(1767),demod([1771,1771,1771,1771,1765,1684])')] ).
cnf(1778,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)],[1713]),1772,1765]),1]),
[iquote('back_demod(1713),demod([1772,1765]),flip(1)')] ).
cnf(1781,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)],[1770]),1778,945,945]),
[iquote('back_demod(1770),demod([1778,945,945])')] ).
cnf(1799,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)],[1730]),1778]),
[iquote('back_demod(1730),demod([1778])')] ).
cnf(1820,plain,
equal(multiply(identity,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1659]),1684,1684,1684,1684,1684,1684,1778,1799,1778,1781,1684,1684,1684]),
[iquote('back_demod(1659),demod([1684,1684,1684,1684,1684,1684,1778,1799,1778,1781,1684,1684,1684])')] ).
cnf(1821,plain,
$false,
inference(conflict,[status(thm)],[1820,3]),
[iquote('conflict(1820,3)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP120-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 04:08:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.46/1.86 ----- EQP 0.9e, May 2009 -----
% 1.46/1.86 The job began on n018.cluster.edu, Mon Jun 13 04:08:57 2022
% 1.46/1.86 The command was "./eqp09e".
% 1.46/1.86
% 1.46/1.86 set(prolog_style_variables).
% 1.46/1.86 set(lrpo).
% 1.46/1.86 set(basic_paramod).
% 1.46/1.86 set(functional_subsume).
% 1.46/1.86 set(ordered_paramod).
% 1.46/1.86 set(prime_paramod).
% 1.46/1.86 set(para_pairs).
% 1.46/1.86 assign(pick_given_ratio,4).
% 1.46/1.86 clear(print_kept).
% 1.46/1.86 clear(print_new_demod).
% 1.46/1.86 clear(print_back_demod).
% 1.46/1.86 clear(print_given).
% 1.46/1.86 assign(max_mem,64000).
% 1.46/1.86 end_of_commands.
% 1.46/1.86
% 1.46/1.86 Usable:
% 1.46/1.86 end_of_list.
% 1.46/1.86
% 1.46/1.86 Sos:
% 1.46/1.86 0 (wt=-1) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.46/1.86 0 (wt=-1) [] multiply(identity,identity) = identity.
% 1.46/1.86 0 (wt=-1) [] -(multiply(identity,a) = a).
% 1.46/1.86 end_of_list.
% 1.46/1.86
% 1.46/1.86 Demodulators:
% 1.46/1.86 end_of_list.
% 1.46/1.86
% 1.46/1.86 Passive:
% 1.46/1.86 end_of_list.
% 1.46/1.86
% 1.46/1.86 Starting to process input.
% 1.46/1.86
% 1.46/1.86 ** KEPT: 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.46/1.86 1 is a new demodulator.
% 1.46/1.86
% 1.46/1.86 ** KEPT: 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.46/1.86 2 is a new demodulator.
% 1.46/1.86
% 1.46/1.86 ** KEPT: 3 (wt=5) [] -(multiply(identity,a) = a).
% 1.46/1.86 ---------------- PROOF FOUND ----------------
% 1.46/1.86 % SZS status Unsatisfiable
% 1.46/1.86
% 1.46/1.86
% 1.46/1.86 After processing input:
% 1.46/1.86
% 1.46/1.86 Usable:
% 1.46/1.86 end_of_list.
% 1.46/1.86
% 1.46/1.86 Sos:
% 1.46/1.86 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.46/1.86 3 (wt=5) [] -(multiply(identity,a) = a).
% 1.46/1.86 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.46/1.86 end_of_list.
% 1.46/1.86
% 1.46/1.86 Demodulators:
% 1.46/1.86 1 (wt=19) [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B.
% 1.46/1.86 2 (wt=5) [] multiply(identity,identity) = identity.
% 1.46/1.86 end_of_list.
% 1.46/1.86
% 1.46/1.86 Passive:
% 1.46/1.86 end_of_list.
% 1.46/1.86
% 1.46/1.86 UNIT CONFLICT from 1820 and 3 at 0.74 seconds.
% 1.46/1.86
% 1.46/1.86 ---------------- PROOF ----------------
% 1.46/1.86 % SZS output start Refutation
% See solution above
% 1.46/1.86 ------------ end of proof -------------
% 1.46/1.86
% 1.46/1.86
% 1.46/1.86 ------------- memory usage ------------
% 1.46/1.86 Memory dynamically allocated (tp_alloc): 20507.
% 1.46/1.86 type (bytes each) gets frees in use avail bytes
% 1.46/1.86 sym_ent ( 96) 54 0 54 0 5.1 K
% 1.46/1.86 term ( 16) 536457 319073 217384 366 4245.8 K
% 1.46/1.86 gen_ptr ( 8) 1957438 296968 1660470 164 12973.7 K
% 1.46/1.86 context ( 808) 345061 345059 2 17 15.0 K
% 1.46/1.86 trail ( 12) 188393 188393 0 8 0.1 K
% 1.46/1.86 bt_node ( 68) 90963 90960 3 174 11.8 K
% 1.46/1.86 ac_position (285432) 0 0 0 0 0.0 K
% 1.46/1.86 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.46/1.86 ac_match_free_vars_pos (4020)
% 1.46/1.86 0 0 0 0 0.0 K
% 1.46/1.86 discrim ( 12) 355563 243683 111880 56435 1972.4 K
% 1.46/1.86 flat ( 40) 1980692 1980692 0 5033 196.6 K
% 1.46/1.86 discrim_pos ( 12) 13583 13583 0 1 0.0 K
% 1.46/1.86 fpa_head ( 12) 2464 0 2464 0 28.9 K
% 1.46/1.86 fpa_tree ( 28) 32675 32675 0 125 3.4 K
% 1.46/1.86 fpa_pos ( 36) 3220 3220 0 1 0.0 K
% 1.46/1.86 literal ( 12) 6708 4888 1820 1 21.3 K
% 1.46/1.86 clause ( 24) 6708 4888 1820 1 42.7 K
% 1.46/1.86 list ( 12) 1459 1393 66 3 0.8 K
% 1.46/1.86 list_pos ( 20) 10865 4668 6197 30 121.6 K
% 1.46/1.86 pair_index ( 40) 2 0 2 0 0.1 K
% 1.46/1.86
% 1.46/1.86 -------------- statistics -------------
% 1.46/1.86 Clauses input 3
% 1.46/1.86 Usable input 0
% 1.46/1.86 Sos input 3
% 1.46/1.86 Demodulators input 0
% 1.46/1.86 Passive input 0
% 1.46/1.86
% 1.46/1.86 Processed BS (before search) 3
% 1.46/1.86 Forward subsumed BS 0
% 1.46/1.86 Kept BS 3
% 1.46/1.86 New demodulators BS 2
% 1.46/1.86 Back demodulated BS 0
% 1.46/1.86
% 1.46/1.86 Clauses or pairs given 3444
% 1.46/1.86 Clauses generated 4113
% 1.46/1.86 Forward subsumed 2296
% 1.46/1.86 Deleted by weight 0
% 1.46/1.86 Deleted by variable count 0
% 1.46/1.86 Kept 1817
% 1.46/1.86 New demodulators 1398
% 1.46/1.86 Back demodulated 954
% 1.46/1.86 Ordered paramod prunes 0
% 1.46/1.86 Basic paramod prunes 31533
% 1.46/1.86 Prime paramod prunes 328
% 1.46/1.86 Semantic prunes 0
% 1.46/1.86
% 1.46/1.86 Rewrite attmepts 262193
% 1.46/1.86 Rewrites 12784
% 1.46/1.86
% 1.46/1.86 FPA overloads 0
% 1.46/1.86 FPA underloads 0
% 1.46/1.86
% 1.46/1.86 Usable size 0
% 1.46/1.86 Sos size 865
% 1.46/1.86 Demodulators size 595
% 1.46/1.86 Passive size 0
% 1.46/1.86 Disabled size 954
% 1.46/1.86
% 1.46/1.86 Proofs found 1
% 1.46/1.86
% 1.46/1.86 ----------- times (seconds) ----------- Mon Jun 13 04:08:58 2022
% 1.46/1.86
% 1.46/1.86 user CPU time 0.74 (0 hr, 0 min, 0 sec)
% 1.46/1.86 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 1.46/1.86 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.46/1.86 input time 0.00
% 1.46/1.86 paramodulation time 0.03
% 1.46/1.86 demodulation time 0.10
% 1.46/1.86 orient time 0.01
% 1.46/1.86 weigh time 0.00
% 1.46/1.86 forward subsume time 0.01
% 1.46/1.86 back demod find time 0.27
% 1.46/1.86 conflict time 0.00
% 1.46/1.86 LRPO time 0.01
% 1.46/1.86 store clause time 0.25
% 1.46/1.86 disable clause time 0.02
% 1.46/1.86 prime paramod time 0.01
% 1.46/1.86 semantics time 0.00
% 1.46/1.86
% 1.46/1.86 EQP interrupted
%------------------------------------------------------------------------------