TSTP Solution File: TOP049-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : TOP049-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n028.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 : Thu Jul 21 21:24:50 EDT 2022
% Result : Unsatisfiable 0.72s 1.16s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of clauses : 96 ( 96 unt; 0 nHn; 70 RR)
% Number of literals : 96 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-9 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(product(A,A),A),
file('TOP049-1.p',unknown),
[] ).
cnf(2,plain,
equal(product(product(A,B),B),A),
file('TOP049-1.p',unknown),
[] ).
cnf(3,plain,
equal(product(product(A,B),C),product(product(A,C),product(B,C))),
file('TOP049-1.p',unknown),
[] ).
cnf(4,plain,
equal(product(product(A,B),product(C,B)),product(product(A,C),B)),
inference(flip,[status(thm),theory(equality)],[3]),
[iquote('flip(3)')] ).
cnf(5,plain,
equal(product(a9,a7),a1),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(6,plain,
equal(product(a1,a2),a3),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(7,plain,
equal(product(a3,a4),a2),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(8,plain,
equal(product(a2,a10),a5),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(9,plain,
equal(product(a5,a4),a6),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
equal(product(a6,a1),a7),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(11,plain,
equal(product(a7,a4),a8),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(12,plain,
equal(product(a8,a9),a10),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(13,plain,
equal(product(a10,a3),a4),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(14,plain,
equal(product(a4,a8),a9),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(15,plain,
~ equal(tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6),tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(21,plain,
equal(product(product(A,B),A),product(A,product(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),1]),
[iquote('para(1,4),flip(1)')] ).
cnf(35,plain,
equal(product(a1,a7),a9),
inference(para,[status(thm),theory(equality)],[5,2]),
[iquote('para(5,2)')] ).
cnf(36,plain,
equal(product(product(a9,A),product(a7,A)),product(a1,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,3]),1]),
[iquote('para(5,3),flip(1)')] ).
cnf(38,plain,
equal(product(product(A,a9),a7),product(product(A,a7),a1)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,4]),1]),
[iquote('para(5,4),flip(1)')] ).
cnf(39,plain,
equal(product(a3,a2),a1),
inference(para,[status(thm),theory(equality)],[6,2]),
[iquote('para(6,2)')] ).
cnf(40,plain,
equal(product(product(a1,A),product(a2,A)),product(a3,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,3]),1]),
[iquote('para(6,3),flip(1)')] ).
cnf(43,plain,
equal(product(a2,a4),a3),
inference(para,[status(thm),theory(equality)],[7,2]),
[iquote('para(7,2)')] ).
cnf(49,plain,
equal(product(product(a2,A),a10),product(a5,product(A,a10))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,4]),1]),
[iquote('para(8,4),flip(1)')] ).
cnf(50,plain,
equal(product(product(A,a2),a10),product(product(A,a10),a5)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,4]),1]),
[iquote('para(8,4),flip(1)')] ).
cnf(55,plain,
equal(product(a7,a1),a6),
inference(para,[status(thm),theory(equality)],[10,2]),
[iquote('para(10,2)')] ).
cnf(59,plain,
equal(product(a8,a4),a7),
inference(para,[status(thm),theory(equality)],[11,2]),
[iquote('para(11,2)')] ).
cnf(63,plain,
equal(product(a10,a9),a8),
inference(para,[status(thm),theory(equality)],[12,2]),
[iquote('para(12,2)')] ).
cnf(64,plain,
equal(product(product(a8,A),product(a9,A)),product(a10,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,3]),1]),
[iquote('para(12,3),flip(1)')] ).
cnf(66,plain,
equal(product(product(A,a9),a10),product(product(A,a8),a9)),
inference(para,[status(thm),theory(equality)],[12,4]),
[iquote('para(12,4)')] ).
cnf(67,plain,
equal(product(a4,a3),a10),
inference(para,[status(thm),theory(equality)],[13,2]),
[iquote('para(13,2)')] ).
cnf(72,plain,
equal(product(a9,a8),a4),
inference(para,[status(thm),theory(equality)],[14,2]),
[iquote('para(14,2)')] ).
cnf(73,plain,
equal(product(product(a4,A),product(a8,A)),product(a9,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,3]),1]),
[iquote('para(14,3),flip(1)')] ).
cnf(74,plain,
equal(product(product(a4,A),a8),product(a9,product(A,a8))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,4]),1]),
[iquote('para(14,4),flip(1)')] ).
cnf(75,plain,
equal(product(product(A,a8),a9),product(product(A,a4),a8)),
inference(para,[status(thm),theory(equality)],[14,4]),
[iquote('para(14,4)')] ).
cnf(76,plain,
equal(product(product(A,a9),a10),product(product(A,a4),a8)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[66]),75]),
[iquote('back_demod(66),demod([75])')] ).
cnf(84,plain,
equal(product(a9,product(a7,a9)),product(a1,a9)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,21]),1]),
[iquote('para(5,21),flip(1)')] ).
cnf(92,plain,
equal(product(a3,a1),product(a1,product(a2,a1))),
inference(para,[status(thm),theory(equality)],[6,21]),
[iquote('para(6,21)')] ).
cnf(118,plain,
equal(product(a3,a10),product(a2,a3)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,21]),67]),1]),
[iquote('para(7,21),demod([67]),flip(1)')] ).
cnf(130,plain,
equal(product(a5,product(a2,a3)),a3),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[118,2]),49,118]),
[iquote('para(118,2),demod([49,118])')] ).
cnf(144,plain,
equal(product(a3,product(a2,a3)),a5),
inference(para,[status(thm),theory(equality)],[130,2]),
[iquote('para(130,2)')] ).
cnf(202,plain,
equal(product(a8,a7),product(a7,product(a4,a7))),
inference(para,[status(thm),theory(equality)],[11,21]),
[iquote('para(11,21)')] ).
cnf(203,plain,
equal(product(a10,a8),a7),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,21]),72,59]),
[iquote('para(12,21),demod([72,59])')] ).
cnf(205,plain,
equal(product(a9,a4),product(a4,a7)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,21]),59]),
[iquote('para(14,21),demod([59])')] ).
cnf(211,plain,
equal(product(a7,a8),a10),
inference(para,[status(thm),theory(equality)],[203,2]),
[iquote('para(203,2)')] ).
cnf(232,plain,
equal(product(a9,a1),product(a1,a6)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[35,21]),55]),
[iquote('para(35,21),demod([55])')] ).
cnf(253,plain,
equal(product(a9,a10),product(a1,a4)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,36]),205,74,211]),
[iquote('para(11,36),demod([205,74,211])')] ).
cnf(260,plain,
equal(product(product(a1,a4),a10),a9),
inference(para,[status(thm),theory(equality)],[253,2]),
[iquote('para(253,2)')] ).
cnf(303,plain,
equal(product(a1,a3),a5),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[39,21]),144]),
[iquote('para(39,21),demod([144])')] ).
cnf(348,plain,
equal(product(product(a7,product(a4,a7)),a1),product(a10,a7)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,38]),202]),1]),
[iquote('para(12,38),demod([202]),flip(1)')] ).
cnf(349,plain,
equal(product(product(a1,a10),a5),product(a2,a3)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,40]),118]),
[iquote('para(8,40),demod([118])')] ).
cnf(396,plain,
equal(product(a9,product(a2,a7)),product(a3,a7)),
inference(para,[status(thm),theory(equality)],[35,40]),
[iquote('para(35,40)')] ).
cnf(413,plain,
equal(product(product(a3,a7),product(a2,a7)),a9),
inference(para,[status(thm),theory(equality)],[396,2]),
[iquote('para(396,2)')] ).
cnf(510,plain,
equal(product(product(a1,a4),a3),a2),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[43,40]),7]),
[iquote('para(43,40),demod([7])')] ).
cnf(535,plain,
equal(product(a2,a3),product(a1,a4)),
inference(para,[status(thm),theory(equality)],[510,2]),
[iquote('para(510,2)')] ).
cnf(537,plain,
equal(product(product(a1,a10),a5),product(a1,a4)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[349]),535]),
[iquote('back_demod(349),demod([535])')] ).
cnf(541,plain,
equal(product(a3,a10),product(a1,a4)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[118]),535]),
[iquote('back_demod(118),demod([535])')] ).
cnf(667,plain,
equal(a9,a3),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[541,2]),260]),
[iquote('para(541,2),demod([260])')] ).
cnf(675,plain,
equal(product(product(a3,a7),product(a2,a7)),a3),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[413]),667]),
[iquote('back_demod(413),demod([667])')] ).
cnf(680,plain,
equal(product(a3,product(a2,a7)),product(a3,a7)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[396]),667]),
[iquote('back_demod(396),demod([667])')] ).
cnf(688,plain,
equal(product(a1,product(a2,a1)),product(a1,a6)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[232]),667,92]),
[iquote('back_demod(232),demod([667,92])')] ).
cnf(689,plain,
equal(product(a3,a1),product(a1,a6)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[92]),688]),
[iquote('back_demod(92),demod([688])')] ).
cnf(690,plain,
equal(product(a4,a7),a2),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[205]),667,7]),1]),
[iquote('back_demod(205),demod([667,7]),flip(1)')] ).
cnf(691,plain,
equal(product(product(a7,a2),a1),product(a10,a7)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[348]),690]),
[iquote('back_demod(348),demod([690])')] ).
cnf(701,plain,
equal(product(a3,product(a7,a3)),a5),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[84]),667,667,667,303]),
[iquote('back_demod(84),demod([667,667,667,303])')] ).
cnf(702,plain,
equal(product(product(A,a4),a8),product(product(A,a3),a10)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[76]),667]),1]),
[iquote('back_demod(76),demod([667]),flip(1)')] ).
cnf(709,plain,
equal(product(product(A,a8),a3),product(product(A,a3),a10)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[75]),667,702]),
[iquote('back_demod(75),demod([667,702])')] ).
cnf(712,plain,
equal(product(product(a4,A),product(a8,A)),product(a3,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[73]),667]),
[iquote('back_demod(73),demod([667])')] ).
cnf(713,plain,
equal(product(a3,a8),a4),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[72]),667]),
[iquote('back_demod(72),demod([667])')] ).
cnf(715,plain,
equal(product(product(a8,A),product(a3,A)),product(a10,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[64]),667]),
[iquote('back_demod(64),demod([667])')] ).
cnf(716,plain,
equal(a8,a4),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[63]),667,13]),1]),
[iquote('back_demod(63),demod([667,13]),flip(1)')] ).
cnf(717,plain,
equal(product(product(a4,A),product(a3,A)),product(a10,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[715]),716]),
[iquote('back_demod(715),demod([716])')] ).
cnf(719,plain,
equal(a4,a2),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[713]),716,7]),1]),
[iquote('back_demod(713),demod([716,7]),flip(1)')] ).
cnf(721,plain,
equal(product(product(a2,A),product(a3,A)),product(a10,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[717]),719]),
[iquote('back_demod(717),demod([719])')] ).
cnf(722,plain,
equal(a8,a2),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[716]),719]),
[iquote('back_demod(716),demod([719])')] ).
cnf(723,plain,
equal(product(a3,A),product(a2,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[712]),719,722,1]),1]),
[iquote('back_demod(712),demod([719,722,1]),flip(1)')] ).
cnf(724,plain,
equal(product(a2,A),product(a10,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[721]),723,1]),
[iquote('back_demod(721),demod([723,1])')] ).
cnf(725,plain,
equal(product(a3,A),product(a10,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[723]),724]),
[iquote('back_demod(723),demod([724])')] ).
cnf(733,plain,
equal(product(a10,product(a7,a3)),a5),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[701]),725]),
[iquote('back_demod(701),demod([725])')] ).
cnf(737,plain,
equal(product(a10,a1),product(a1,a6)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[689]),725]),
[iquote('back_demod(689),demod([725])')] ).
cnf(740,plain,
equal(product(a10,product(a10,a7)),product(a10,a7)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[680]),724,725,725]),
[iquote('back_demod(680),demod([724,725,725])')] ).
cnf(741,plain,
equal(product(a10,a7),a3),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[675]),725,724,1]),
[iquote('back_demod(675),demod([725,724,1])')] ).
cnf(742,plain,
equal(a3,a2),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[740]),741,13,719,741]),1]),
[iquote('back_demod(740),demod([741,13,719,741]),flip(1)')] ).
cnf(743,plain,
equal(product(a10,a7),a2),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[741]),742]),
[iquote('back_demod(741),demod([742])')] ).
cnf(744,plain,
equal(product(product(a7,a2),a1),a2),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[691]),743]),
[iquote('back_demod(691),demod([743])')] ).
cnf(745,plain,
equal(product(a10,product(a7,a2)),a5),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[733]),742]),
[iquote('back_demod(733),demod([742])')] ).
cnf(750,plain,
equal(product(product(A,a10),a5),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[709]),722,742,2,742,50]),1]),
[iquote('back_demod(709),demod([722,742,2,742,50]),flip(1)')] ).
cnf(754,plain,
equal(a2,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[537]),750,719,6,742]),1]),
[iquote('back_demod(537),demod([750,719,6,742]),flip(1)')] ).
cnf(766,plain,
equal(product(a10,a6),a5),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[745]),754,55]),
[iquote('back_demod(745),demod([754,55])')] ).
cnf(767,plain,
equal(a7,a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[744]),754,55,10,754]),
[iquote('back_demod(744),demod([754,55,10,754])')] ).
cnf(769,plain,
equal(product(a1,a6),a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[743]),767,737,754]),
[iquote('back_demod(743),demod([767,737,754])')] ).
cnf(779,plain,
equal(a10,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[211]),767,722,754,1]),1]),
[iquote('back_demod(211),demod([767,722,754,1]),flip(1)')] ).
cnf(780,plain,
equal(a5,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[766]),779,769]),1]),
[iquote('back_demod(766),demod([779,769]),flip(1)')] ).
cnf(790,plain,
~ equal(tuple(a1,a1,a1,a6,a1,a1,a1,a1,a1),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a6)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15]),754,779,667,742,754,767,722,754,742,754,719,754,780,667,742,754,722,754,767,754,742,754,719,754,780]),1]),
[iquote('back_demod(15),demod([754,779,667,742,754,767,722,754,742,754,719,754,780,667,742,754,722,754,767,754,742,754,719,754,780]),flip(1)')] ).
cnf(791,plain,
equal(a6,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),780,719,754,1]),1]),
[iquote('back_demod(9),demod([780,719,754,1]),flip(1)')] ).
cnf(792,plain,
~ equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[790]),791,791]),
[iquote('back_demod(790),demod([791,791])')] ).
cnf(793,plain,
$false,
inference(conflict,[status(thm)],[792]),
[iquote('xx_conflict(792)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP049-1 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n028.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 : Sun May 29 08:00:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.16 ----- EQP 0.9e, May 2009 -----
% 0.72/1.16 The job began on n028.cluster.edu, Sun May 29 08:00:49 2022
% 0.72/1.16 The command was "./eqp09e".
% 0.72/1.16
% 0.72/1.16 set(prolog_style_variables).
% 0.72/1.16 set(lrpo).
% 0.72/1.16 set(basic_paramod).
% 0.72/1.16 set(functional_subsume).
% 0.72/1.16 set(ordered_paramod).
% 0.72/1.16 set(prime_paramod).
% 0.72/1.16 set(para_pairs).
% 0.72/1.16 assign(pick_given_ratio,4).
% 0.72/1.16 clear(print_kept).
% 0.72/1.16 clear(print_new_demod).
% 0.72/1.16 clear(print_back_demod).
% 0.72/1.16 clear(print_given).
% 0.72/1.16 assign(max_mem,64000).
% 0.72/1.16 end_of_commands.
% 0.72/1.16
% 0.72/1.16 Usable:
% 0.72/1.16 end_of_list.
% 0.72/1.16
% 0.72/1.16 Sos:
% 0.72/1.16 0 (wt=-1) [] product(A,A) = A.
% 0.72/1.16 0 (wt=-1) [] product(product(A,B),B) = A.
% 0.72/1.16 0 (wt=-1) [] product(product(A,B),C) = product(product(A,C),product(B,C)).
% 0.72/1.16 0 (wt=-1) [] a1 = product(a9,a7).
% 0.72/1.16 0 (wt=-1) [] a3 = product(a1,a2).
% 0.72/1.16 0 (wt=-1) [] a2 = product(a3,a4).
% 0.72/1.16 0 (wt=-1) [] a5 = product(a2,a10).
% 0.72/1.16 0 (wt=-1) [] a6 = product(a5,a4).
% 0.72/1.16 0 (wt=-1) [] a7 = product(a6,a1).
% 0.72/1.16 0 (wt=-1) [] a8 = product(a7,a4).
% 0.72/1.16 0 (wt=-1) [] a10 = product(a8,a9).
% 0.72/1.16 0 (wt=-1) [] a4 = product(a10,a3).
% 0.72/1.16 0 (wt=-1) [] a9 = product(a4,a8).
% 0.72/1.16 0 (wt=-1) [] -(tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) = tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6)).
% 0.72/1.16 end_of_list.
% 0.72/1.16
% 0.72/1.16 Demodulators:
% 0.72/1.16 end_of_list.
% 0.72/1.16
% 0.72/1.16 Passive:
% 0.72/1.16 end_of_list.
% 0.72/1.16
% 0.72/1.16 Starting to process input.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 1 (wt=5) [] product(A,A) = A.
% 0.72/1.16 1 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 2 (wt=7) [] product(product(A,B),B) = A.
% 0.72/1.16 2 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 3 (wt=13) [] product(product(A,B),C) = product(product(A,C),product(B,C)).
% 0.72/1.16
% 0.72/1.16 ** KEPT: 4 (wt=13) [flip(3)] product(product(A,B),product(C,B)) = product(product(A,C),B).
% 0.72/1.16 clause forward subsumed: 0 (wt=13) [flip(4)] product(product(A,C),B) = product(product(A,B),product(C,B)).
% 0.72/1.16
% 0.72/1.16 ** KEPT: 5 (wt=5) [flip(1)] product(a9,a7) = a1.
% 0.72/1.16 5 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 6 (wt=5) [flip(1)] product(a1,a2) = a3.
% 0.72/1.16 6 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 7 (wt=5) [flip(1)] product(a3,a4) = a2.
% 0.72/1.16 7 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 8 (wt=5) [flip(1)] product(a2,a10) = a5.
% 0.72/1.16 8 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 9 (wt=5) [flip(1)] product(a5,a4) = a6.
% 0.72/1.16 9 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 10 (wt=5) [flip(1)] product(a6,a1) = a7.
% 0.72/1.16 10 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 11 (wt=5) [flip(1)] product(a7,a4) = a8.
% 0.72/1.16 11 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 12 (wt=5) [flip(1)] product(a8,a9) = a10.
% 0.72/1.16 12 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 13 (wt=5) [flip(1)] product(a10,a3) = a4.
% 0.72/1.16 13 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 14 (wt=5) [flip(1)] product(a4,a8) = a9.
% 0.72/1.16 14 is a new demodulator.
% 0.72/1.16
% 0.72/1.16 ** KEPT: 15 (wt=21) [flip(1)] -(tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) = tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5)).
% 0.72/1.16 ---------------- PROOF FOUND ----------------
% 0.72/1.16 % SZS status Unsatisfiable
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 After processing input:
% 0.72/1.16
% 0.72/1.16 Usable:
% 0.72/1.16 end_of_list.
% 0.72/1.16
% 0.72/1.16 Sos:
% 0.72/1.16 1 (wt=5) [] product(A,A) = A.
% 0.72/1.16 5 (wt=5) [flip(1)] product(a9,a7) = a1.
% 0.72/1.16 6 (wt=5) [flip(1)] product(a1,a2) = a3.
% 0.72/1.16 7 (wt=5) [flip(1)] product(a3,a4) = a2.
% 0.72/1.16 8 (wt=5) [flip(1)] product(a2,a10) = a5.
% 0.72/1.16 9 (wt=5) [flip(1)] product(a5,a4) = a6.
% 0.72/1.16 10 (wt=5) [flip(1)] product(a6,a1) = a7.
% 0.72/1.16 11 (wt=5) [flip(1)] product(a7,a4) = a8.
% 0.72/1.16 12 (wt=5) [flip(1)] product(a8,a9) = a10.
% 0.72/1.16 13 (wt=5) [flip(1)] product(a10,a3) = a4.
% 0.72/1.16 14 (wt=5) [flip(1)] product(a4,a8) = a9.
% 0.72/1.16 2 (wt=7) [] product(product(A,B),B) = A.
% 0.72/1.16 3 (wt=13) [] product(product(A,B),C) = product(product(A,C),product(B,C)).
% 0.72/1.16 4 (wt=13) [flip(3)] product(product(A,B),product(C,B)) = product(product(A,C),B).
% 0.72/1.16 15 (wt=21) [flip(1)] -(tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6) = tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5)).
% 0.72/1.16 end_of_list.
% 0.72/1.16
% 0.72/1.16 Demodulators:
% 0.72/1.16 1 (wt=5) [] product(A,A) = A.
% 0.72/1.16 2 (wt=7) [] product(product(A,B),B) = A.
% 0.72/1.16 5 (wt=5) [flip(1)] product(a9,a7) = a1.
% 0.72/1.16 6 (wt=5) [flip(1)] product(a1,a2) = a3.
% 0.72/1.16 7 (wt=5) [flip(1)] product(a3,a4) = a2.
% 0.72/1.16 8 (wt=5) [flip(1)] product(a2,a10) = a5.
% 0.72/1.16 9 (wt=5) [flip(1)] product(a5,a4) = a6.
% 0.72/1.16 10 (wt=5) [flip(1)] product(a6,a1) = a7.
% 0.72/1.16 11 (wt=5) [flip(1)] product(a7,a4) = a8.
% 0.72/1.16 12 (wt=5) [flip(1)] product(a8,a9) = a10.
% 0.72/1.16 13 (wt=5) [flip(1)] product(a10,a3) = a4.
% 0.72/1.16 14 (wt=5) [flip(1)] product(a4,a8) = a9.
% 0.72/1.16 end_of_list.
% 0.72/1.16
% 0.72/1.16 Passive:
% 0.72/1.16 end_of_list.
% 0.72/1.16
% 0.72/1.16 UNIT CONFLICT from 792 and x=x at 0.05 seconds.
% 0.72/1.16
% 0.72/1.16 ---------------- PROOF ----------------
% 0.72/1.16 % SZS output start Refutation
% See solution above
% 0.72/1.16 ------------ end of proof -------------
% 0.72/1.16
% 0.72/1.16
% 0.72/1.16 ------------- memory usage ------------
% 0.72/1.16 Memory dynamically allocated (tp_alloc): 1464.
% 0.72/1.16 type (bytes each) gets frees in use avail bytes
% 0.72/1.16 sym_ent ( 96) 63 0 63 0 5.9 K
% 0.72/1.16 term ( 16) 45768 27932 17836 30 345.9 K
% 0.72/1.16 gen_ptr ( 8) 80567 8860 71707 95 561.0 K
% 0.72/1.16 context ( 808) 37541 37539 2 4 4.7 K
% 0.82/1.16 trail ( 12) 10946 10946 0 5 0.1 K
% 0.82/1.16 bt_node ( 68) 13274 13271 3 10 0.9 K
% 0.82/1.16 ac_position (285432) 0 0 0 0 0.0 K
% 0.82/1.16 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.82/1.16 ac_match_free_vars_pos (4020)
% 0.82/1.16 0 0 0 0 0.0 K
% 0.82/1.16 discrim ( 12) 11263 2524 8739 857 112.5 K
% 0.82/1.16 flat ( 40) 116980 116980 0 43 1.7 K
% 0.82/1.16 discrim_pos ( 12) 1592 1592 0 1 0.0 K
% 0.82/1.16 fpa_head ( 12) 742 0 742 0 8.7 K
% 0.82/1.16 fpa_tree ( 28) 1225 1225 0 13 0.4 K
% 0.82/1.16 fpa_pos ( 36) 1162 1162 0 1 0.0 K
% 0.82/1.16 literal ( 12) 2776 1984 792 0 9.3 K
% 0.82/1.16 clause ( 24) 2776 1984 792 0 18.6 K
% 0.82/1.16 list ( 12) 430 359 71 0 0.8 K
% 0.82/1.16 list_pos ( 20) 3643 1186 2457 120 50.3 K
% 0.82/1.16 pair_index ( 40) 2 0 2 0 0.1 K
% 0.82/1.16
% 0.82/1.16 -------------- statistics -------------
% 0.82/1.16 Clauses input 14
% 0.82/1.16 Usable input 0
% 0.82/1.16 Sos input 14
% 0.82/1.16 Demodulators input 0
% 0.82/1.16 Passive input 0
% 0.82/1.16
% 0.82/1.16 Processed BS (before search) 16
% 0.82/1.16 Forward subsumed BS 1
% 0.82/1.16 Kept BS 15
% 0.82/1.16 New demodulators BS 12
% 0.82/1.16 Back demodulated BS 0
% 0.82/1.16
% 0.82/1.16 Clauses or pairs given 1583
% 0.82/1.16 Clauses generated 1489
% 0.82/1.16 Forward subsumed 712
% 0.82/1.16 Deleted by weight 0
% 0.82/1.16 Deleted by variable count 0
% 0.82/1.16 Kept 777
% 0.82/1.16 New demodulators 359
% 0.82/1.16 Back demodulated 243
% 0.82/1.16 Ordered paramod prunes 0
% 0.82/1.16 Basic paramod prunes 3002
% 0.82/1.16 Prime paramod prunes 2
% 0.82/1.16 Semantic prunes 0
% 0.82/1.16
% 0.82/1.16 Rewrite attmepts 19782
% 0.82/1.16 Rewrites 1179
% 0.82/1.16
% 0.82/1.16 FPA overloads 0
% 0.82/1.16 FPA underloads 0
% 0.82/1.16
% 0.82/1.16 Usable size 0
% 0.82/1.16 Sos size 548
% 0.82/1.16 Demodulators size 176
% 0.82/1.16 Passive size 0
% 0.82/1.16 Disabled size 243
% 0.82/1.16
% 0.82/1.16 Proofs found 1
% 0.82/1.16
% 0.82/1.16 ----------- times (seconds) ----------- Sun May 29 08:00:49 2022
% 0.82/1.16
% 0.82/1.16 user CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.82/1.16 system CPU time 0.04 (0 hr, 0 min, 0 sec)
% 0.82/1.16 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.82/1.16 input time 0.00
% 0.82/1.16 paramodulation time 0.01
% 0.82/1.16 demodulation time 0.01
% 0.82/1.16 orient time 0.01
% 0.82/1.16 weigh time 0.00
% 0.82/1.16 forward subsume time 0.00
% 0.82/1.16 back demod find time 0.00
% 0.82/1.16 conflict time 0.00
% 0.82/1.16 LRPO time 0.00
% 0.82/1.16 store clause time 0.01
% 0.82/1.16 disable clause time 0.00
% 0.82/1.16 prime paramod time 0.00
% 0.82/1.16 semantics time 0.00
% 0.82/1.16
% 0.82/1.16 EQP interrupted
%------------------------------------------------------------------------------