TSTP Solution File: TOP051-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : TOP051-1 : 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 0.85s 1.22s
% Output : Refutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of clauses : 116 ( 116 unt; 0 nHn; 92 RR)
% Number of literals : 116 ( 0 equ; 2 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 : 13 ( 13 usr; 11 con; 0-10 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(product(A,A),A),
file('TOP051-1.p',unknown),
[] ).
cnf(2,plain,
equal(product(product(A,B),B),A),
file('TOP051-1.p',unknown),
[] ).
cnf(3,plain,
equal(product(product(A,B),C),product(product(A,C),product(B,C))),
file('TOP051-1.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(a1,a6),a2),
file('TOP051-1.p',unknown),
[] ).
cnf(6,plain,
equal(product(a2,a7),a3),
file('TOP051-1.p',unknown),
[] ).
cnf(7,plain,
equal(product(a3,a1),a4),
file('TOP051-1.p',unknown),
[] ).
cnf(8,plain,
equal(product(a4,a10),a5),
file('TOP051-1.p',unknown),
[] ).
cnf(9,plain,
equal(product(a5,a9),a6),
file('TOP051-1.p',unknown),
[] ).
cnf(10,plain,
equal(product(a6,a2),a7),
file('TOP051-1.p',unknown),
[] ).
cnf(11,plain,
equal(product(a7,a3),a8),
file('TOP051-1.p',unknown),
[] ).
cnf(12,plain,
equal(product(a8,a6),a9),
file('TOP051-1.p',unknown),
[] ).
cnf(13,plain,
equal(product(a9,a4),a10),
file('TOP051-1.p',unknown),
[] ).
cnf(14,plain,
equal(product(a10,a5),a11),
file('TOP051-1.p',unknown),
[] ).
cnf(15,plain,
~ equal(tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8)),
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(22,plain,
equal(product(product(product(A,B),C),B),product(A,product(C,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,4]),1]),
[iquote('para(2,4),flip(1)')] ).
cnf(29,plain,
equal(product(product(A,B),product(product(C,B),product(D,B))),product(product(A,product(C,D)),B)),
inference(para,[status(thm),theory(equality)],[3,4]),
[iquote('para(3,4)')] ).
cnf(35,plain,
equal(product(a2,a6),a1),
inference(para,[status(thm),theory(equality)],[5,2]),
[iquote('para(5,2)')] ).
cnf(38,plain,
equal(product(product(A,a6),a2),product(product(A,a1),a6)),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(39,plain,
equal(product(a3,a7),a2),
inference(para,[status(thm),theory(equality)],[6,2]),
[iquote('para(6,2)')] ).
cnf(41,plain,
equal(product(product(a2,A),a7),product(a3,product(A,a7))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,4]),1]),
[iquote('para(6,4),flip(1)')] ).
cnf(42,plain,
equal(product(product(A,a7),a3),product(product(A,a2),a7)),
inference(para,[status(thm),theory(equality)],[6,4]),
[iquote('para(6,4)')] ).
cnf(43,plain,
equal(product(a4,a1),a3),
inference(para,[status(thm),theory(equality)],[7,2]),
[iquote('para(7,2)')] ).
cnf(45,plain,
equal(product(product(a3,A),a1),product(a4,product(A,a1))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,4]),1]),
[iquote('para(7,4),flip(1)')] ).
cnf(46,plain,
equal(product(product(A,a3),a1),product(product(A,a1),a4)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,4]),1]),
[iquote('para(7,4),flip(1)')] ).
cnf(47,plain,
equal(product(a5,a10),a4),
inference(para,[status(thm),theory(equality)],[8,2]),
[iquote('para(8,2)')] ).
cnf(48,plain,
equal(product(product(a4,A),product(a10,A)),product(a5,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,3]),1]),
[iquote('para(8,3),flip(1)')] ).
cnf(49,plain,
equal(product(product(a4,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,a4),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(51,plain,
equal(product(a6,a9),a5),
inference(para,[status(thm),theory(equality)],[9,2]),
[iquote('para(9,2)')] ).
cnf(52,plain,
equal(product(product(a5,A),product(a9,A)),product(a6,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,3]),1]),
[iquote('para(9,3),flip(1)')] ).
cnf(53,plain,
equal(product(product(a5,A),a9),product(a6,product(A,a9))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,4]),1]),
[iquote('para(9,4),flip(1)')] ).
cnf(55,plain,
equal(product(a7,a2),a6),
inference(para,[status(thm),theory(equality)],[10,2]),
[iquote('para(10,2)')] ).
cnf(58,plain,
equal(product(product(A,a2),a7),product(product(A,a1),a6)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,4]),38]),
[iquote('para(10,4),demod([38])')] ).
cnf(59,plain,
equal(product(product(A,a7),a3),product(product(A,a1),a6)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[42]),58]),
[iquote('back_demod(42),demod([58])')] ).
cnf(60,plain,
equal(product(a8,a3),a7),
inference(para,[status(thm),theory(equality)],[11,2]),
[iquote('para(11,2)')] ).
cnf(63,plain,
equal(product(product(A,a3),a8),product(product(A,a1),a6)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,4]),59]),
[iquote('para(11,4),demod([59])')] ).
cnf(64,plain,
equal(product(a9,a6),a8),
inference(para,[status(thm),theory(equality)],[12,2]),
[iquote('para(12,2)')] ).
cnf(68,plain,
equal(product(a10,a4),a9),
inference(para,[status(thm),theory(equality)],[13,2]),
[iquote('para(13,2)')] ).
cnf(71,plain,
equal(product(product(A,a9),a4),product(product(A,a10),a5)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,4]),50]),1]),
[iquote('para(13,4),demod([50]),flip(1)')] ).
cnf(92,plain,
equal(product(a3,a2),a1),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,21]),55,35]),
[iquote('para(6,21),demod([55,35])')] ).
cnf(118,plain,
equal(product(a1,a2),a3),
inference(para,[status(thm),theory(equality)],[92,2]),
[iquote('para(92,2)')] ).
cnf(161,plain,
equal(product(a5,a4),product(a4,a9)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,21]),68]),
[iquote('para(8,21),demod([68])')] ).
cnf(202,plain,
equal(product(a8,a7),a6),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,21]),39,55]),
[iquote('para(11,21),demod([39,55])')] ).
cnf(204,plain,
equal(product(a9,product(a4,a9)),product(a10,a9)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,21]),1]),
[iquote('para(13,21),flip(1)')] ).
cnf(205,plain,
equal(product(a11,a10),a9),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,21]),47,68]),
[iquote('para(14,21),demod([47,68])')] ).
cnf(218,plain,
equal(product(a6,a7),a8),
inference(para,[status(thm),theory(equality)],[202,2]),
[iquote('para(202,2)')] ).
cnf(219,plain,
equal(product(a9,a10),a11),
inference(para,[status(thm),theory(equality)],[205,2]),
[iquote('para(205,2)')] ).
cnf(252,plain,
equal(product(product(a10,a9),product(a4,a9)),a9),
inference(para,[status(thm),theory(equality)],[204,2]),
[iquote('para(204,2)')] ).
cnf(284,plain,
equal(product(a3,a8),product(a2,a3)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[39,21]),11]),1]),
[iquote('para(39,21),demod([11]),flip(1)')] ).
cnf(303,plain,
equal(product(product(a2,a1),a6),a3),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[284,2]),63]),
[iquote('para(284,2),demod([63])')] ).
cnf(304,plain,
equal(product(a3,a6),product(a2,a1)),
inference(para,[status(thm),theory(equality)],[303,2]),
[iquote('para(303,2)')] ).
cnf(371,plain,
equal(product(a2,a3),product(a1,a7)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[35,41]),218,284]),1]),
[iquote('para(35,41),demod([218,284]),flip(1)')] ).
cnf(372,plain,
equal(product(a3,a8),product(a1,a7)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[284]),371]),
[iquote('back_demod(284),demod([371])')] ).
cnf(430,plain,
equal(product(product(a1,a7),a8),a3),
inference(para,[status(thm),theory(equality)],[372,2]),
[iquote('para(372,2)')] ).
cnf(559,plain,
equal(product(product(A,product(B,a9)),a4),product(product(A,a4),product(product(B,a10),a5))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,29]),50]),1]),
[iquote('para(13,29),demod([50]),flip(1)')] ).
cnf(660,plain,
equal(product(a5,a11),product(a4,a5)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[47,21]),14]),1]),
[iquote('para(47,21),demod([14]),flip(1)')] ).
cnf(688,plain,
equal(product(a4,product(a7,a1)),product(a2,a1)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[39,45]),1]),
[iquote('para(39,45),flip(1)')] ).
cnf(728,plain,
equal(product(product(a7,a1),a4),product(a8,a1)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,46]),1]),
[iquote('para(11,46),flip(1)')] ).
cnf(828,plain,
equal(product(a5,a1),product(a3,product(a10,a1))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[43,48]),1]),
[iquote('para(43,48),flip(1)')] ).
cnf(829,plain,
equal(product(a6,a8),product(a5,a6)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[51,21]),64]),1]),
[iquote('para(51,21),demod([64]),flip(1)')] ).
cnf(845,plain,
equal(product(product(a5,a6),a8),a6),
inference(para,[status(thm),theory(equality)],[829,2]),
[iquote('para(829,2)')] ).
cnf(1110,plain,
equal(product(a6,a4),product(a4,a5)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,52]),161,49,219,660]),1]),
[iquote('para(13,52),demod([161,49,219,660]),flip(1)')] ).
cnf(1117,plain,
equal(product(a4,product(a4,a9)),a6),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1110,2]),21,161]),
[iquote('para(1110,2),demod([21,161])')] ).
cnf(1158,plain,
equal(product(a6,product(a10,a9)),product(a4,a9)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[47,53]),1]),
[iquote('para(47,53),flip(1)')] ).
cnf(1165,plain,
equal(product(product(product(A,a2),a1),a6),product(A,a7)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[38,22]),10]),
[iquote('para(38,22),demod([10])')] ).
cnf(1188,plain,
equal(product(a8,product(a1,a7)),product(a7,a8)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[60,21]),372]),1]),
[iquote('para(60,21),demod([372]),flip(1)')] ).
cnf(1229,plain,
equal(product(product(a7,a1),a6),a8),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[55,58]),218]),1]),
[iquote('para(55,58),demod([218]),flip(1)')] ).
cnf(1233,plain,
equal(product(a7,a1),a9),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1229,2]),12]),1]),
[iquote('para(1229,2),demod([12]),flip(1)')] ).
cnf(1235,plain,
equal(product(a8,a1),a10),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[728]),1233,13]),1]),
[iquote('back_demod(728),demod([1233,13]),flip(1)')] ).
cnf(1236,plain,
equal(product(a4,a9),product(a2,a1)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[688]),1233]),
[iquote('back_demod(688),demod([1233])')] ).
cnf(1237,plain,
equal(product(a6,product(a10,a9)),product(a2,a1)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1158]),1236]),
[iquote('back_demod(1158),demod([1236])')] ).
cnf(1239,plain,
equal(product(a4,product(a2,a1)),a6),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1117]),1236]),
[iquote('back_demod(1117),demod([1236])')] ).
cnf(1240,plain,
equal(product(product(a10,a9),product(a2,a1)),a9),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[252]),1236]),
[iquote('back_demod(252),demod([1236])')] ).
cnf(1241,plain,
equal(product(a9,product(a2,a1)),product(a10,a9)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[204]),1236]),
[iquote('back_demod(204),demod([1236])')] ).
cnf(1242,plain,
equal(product(a5,a4),product(a2,a1)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[161]),1236]),
[iquote('back_demod(161),demod([1236])')] ).
cnf(1254,plain,
equal(product(a9,a1),a7),
inference(para,[status(thm),theory(equality)],[1233,2]),
[iquote('para(1233,2)')] ).
cnf(1269,plain,
equal(product(a10,a1),a8),
inference(para,[status(thm),theory(equality)],[1235,2]),
[iquote('para(1235,2)')] ).
cnf(1270,plain,
equal(product(a5,a1),product(a1,a7)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[828]),1269,372]),
[iquote('back_demod(828),demod([1269,372])')] ).
cnf(1308,plain,
equal(product(product(a2,a1),a4),a5),
inference(para,[status(thm),theory(equality)],[1242,2]),
[iquote('para(1242,2)')] ).
cnf(1318,plain,
equal(product(a1,a9),a5),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1270,2]),21,1233]),
[iquote('para(1270,2),demod([21,1233])')] ).
cnf(1342,plain,
equal(a6,a1),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1318,2]),9]),
[iquote('para(1318,2),demod([9])')] ).
cnf(1343,plain,
equal(product(a4,product(a2,a1)),a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1239]),1342]),
[iquote('back_demod(1239),demod([1342])')] ).
cnf(1345,plain,
equal(product(a2,a1),product(a1,product(a10,a9))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1237]),1342]),1]),
[iquote('back_demod(1237),demod([1342]),flip(1)')] ).
cnf(1347,plain,
equal(product(a4,product(a1,product(a10,a9))),a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1343]),1345]),
[iquote('back_demod(1343),demod([1345])')] ).
cnf(1348,plain,
equal(product(product(a1,a4),a11),a5),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1308]),1345,559,1,14]),
[iquote('back_demod(1308),demod([1345,559,1,14])')] ).
cnf(1349,plain,
equal(product(a5,a4),product(a1,product(a10,a9))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1242]),1345]),
[iquote('back_demod(1242),demod([1345])')] ).
cnf(1350,plain,
equal(product(a9,product(a1,product(a10,a9))),product(a10,a9)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1241]),1345]),
[iquote('back_demod(1241),demod([1345])')] ).
cnf(1351,plain,
equal(product(product(a10,a9),product(a1,product(a10,a9))),a9),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1240]),1345]),
[iquote('back_demod(1240),demod([1345])')] ).
cnf(1352,plain,
equal(product(a4,a9),product(a1,product(a10,a9))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1236]),1345]),
[iquote('back_demod(1236),demod([1345])')] ).
cnf(1353,plain,
equal(product(a1,product(a10,a9)),a4),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[304]),1342,7,1345]),1]),
[iquote('back_demod(304),demod([1342,7,1345]),flip(1)')] ).
cnf(1354,plain,
equal(product(a4,a9),a4),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1352]),1353]),
[iquote('back_demod(1352),demod([1353])')] ).
cnf(1355,plain,
equal(a9,a11),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1351]),1353,71,1,14]),1]),
[iquote('back_demod(1351),demod([1353,71,1,14]),flip(1)')] ).
cnf(1356,plain,
equal(product(a4,a11),a4),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1354]),1355]),
[iquote('back_demod(1354),demod([1355])')] ).
cnf(1359,plain,
equal(product(a1,product(a10,a11)),a4),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1353]),1355]),
[iquote('back_demod(1353),demod([1355])')] ).
cnf(1361,plain,
equal(product(a11,a4),product(a10,a11)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1350]),1355,1355,1359,1355]),
[iquote('back_demod(1350),demod([1355,1355,1359,1355])')] ).
cnf(1362,plain,
equal(product(a5,a4),a4),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1349]),1355,1359]),
[iquote('back_demod(1349),demod([1355,1359])')] ).
cnf(1363,plain,
equal(a4,a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1347]),1355,1359,1]),
[iquote('back_demod(1347),demod([1355,1359,1])')] ).
cnf(1364,plain,
equal(product(a1,a7),a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1362]),1363,1270,1363]),
[iquote('back_demod(1362),demod([1363,1270,1363])')] ).
cnf(1367,plain,
equal(product(a7,a8),a10),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1188]),1364,1235]),1]),
[iquote('back_demod(1188),demod([1364,1235]),flip(1)')] ).
cnf(1368,plain,
equal(product(a1,a8),a3),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[430]),1364]),
[iquote('back_demod(430),demod([1364])')] ).
cnf(1371,plain,
equal(product(a11,a1),product(a10,a11)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1361]),1363]),
[iquote('back_demod(1361),demod([1363])')] ).
cnf(1375,plain,
equal(product(a1,a11),a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1356]),1363,1363]),
[iquote('back_demod(1356),demod([1363,1363])')] ).
cnf(1376,plain,
equal(a5,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1348]),1363,1,1375]),1]),
[iquote('back_demod(1348),demod([1363,1,1375]),flip(1)')] ).
cnf(1416,plain,
equal(a3,a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[845]),1376,1342,1,1368,1342]),
[iquote('back_demod(845),demod([1376,1342,1,1368,1342])')] ).
cnf(1489,plain,
equal(product(A,a7),product(A,a2)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1165]),1342,2]),1]),
[iquote('back_demod(1165),demod([1342,2]),flip(1)')] ).
cnf(1504,plain,
equal(a8,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[218]),1342,1489,118,1416]),1]),
[iquote('back_demod(218),demod([1342,1489,118,1416]),flip(1)')] ).
cnf(1505,plain,
equal(a11,a10),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1367]),1504,1233,1355]),
[iquote('back_demod(1367),demod([1504,1233,1355])')] ).
cnf(1508,plain,
equal(a10,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1371]),1505,1269,1504,1505,1]),1]),
[iquote('back_demod(1371),demod([1505,1269,1504,1505,1]),flip(1)')] ).
cnf(1509,plain,
equal(a11,a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1505]),1508]),
[iquote('back_demod(1505),demod([1508])')] ).
cnf(1510,plain,
equal(a9,a1),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1355]),1509]),
[iquote('back_demod(1355),demod([1509])')] ).
cnf(1511,plain,
equal(a7,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1254]),1510,1]),1]),
[iquote('back_demod(1254),demod([1510,1]),flip(1)')] ).
cnf(1513,plain,
equal(a2,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[39]),1416,1511,1]),1]),
[iquote('back_demod(39),demod([1416,1511,1]),flip(1)')] ).
cnf(1514,plain,
~ equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15]),1513,1511,1342,1416,1504,1363,1376,1508,1509,1510,1342,1376,1513,1511,1416,1363,1510,1508,1504]),
[iquote('back_demod(15),demod([1513,1511,1342,1416,1504,1363,1376,1508,1509,1510,1342,1376,1513,1511,1416,1363,1510,1508,1504])')] ).
cnf(1515,plain,
$false,
inference(conflict,[status(thm)],[1514]),
[iquote('xx_conflict(1514)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % 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 14:27:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.85/1.22 ----- EQP 0.9e, May 2009 -----
% 0.85/1.22 The job began on n028.cluster.edu, Sun May 29 14:27:05 2022
% 0.85/1.22 The command was "./eqp09e".
% 0.85/1.22
% 0.85/1.22 set(prolog_style_variables).
% 0.85/1.22 set(lrpo).
% 0.85/1.22 set(basic_paramod).
% 0.85/1.22 set(functional_subsume).
% 0.85/1.22 set(ordered_paramod).
% 0.85/1.22 set(prime_paramod).
% 0.85/1.22 set(para_pairs).
% 0.85/1.22 assign(pick_given_ratio,4).
% 0.85/1.22 clear(print_kept).
% 0.85/1.22 clear(print_new_demod).
% 0.85/1.22 clear(print_back_demod).
% 0.85/1.22 clear(print_given).
% 0.85/1.22 assign(max_mem,64000).
% 0.85/1.22 end_of_commands.
% 0.85/1.22
% 0.85/1.22 Usable:
% 0.85/1.22 end_of_list.
% 0.85/1.22
% 0.85/1.22 Sos:
% 0.85/1.22 0 (wt=-1) [] product(A,A) = A.
% 0.85/1.22 0 (wt=-1) [] product(product(A,B),B) = A.
% 0.85/1.22 0 (wt=-1) [] product(product(A,B),C) = product(product(A,C),product(B,C)).
% 0.85/1.22 0 (wt=-1) [] product(a1,a6) = a2.
% 0.85/1.22 0 (wt=-1) [] product(a2,a7) = a3.
% 0.85/1.22 0 (wt=-1) [] product(a3,a1) = a4.
% 0.85/1.22 0 (wt=-1) [] product(a4,a10) = a5.
% 0.85/1.22 0 (wt=-1) [] product(a5,a9) = a6.
% 0.85/1.22 0 (wt=-1) [] product(a6,a2) = a7.
% 0.85/1.22 0 (wt=-1) [] product(a7,a3) = a8.
% 0.85/1.22 0 (wt=-1) [] product(a8,a6) = a9.
% 0.85/1.22 0 (wt=-1) [] product(a9,a4) = a10.
% 0.85/1.22 0 (wt=-1) [] product(a10,a5) = a11.
% 0.85/1.22 0 (wt=-1) [] -(tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9)).
% 0.85/1.22 end_of_list.
% 0.85/1.22
% 0.85/1.22 Demodulators:
% 0.85/1.22 end_of_list.
% 0.85/1.22
% 0.85/1.22 Passive:
% 0.85/1.22 end_of_list.
% 0.85/1.22
% 0.85/1.22 Starting to process input.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 1 (wt=5) [] product(A,A) = A.
% 0.85/1.22 1 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 2 (wt=7) [] product(product(A,B),B) = A.
% 0.85/1.22 2 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 3 (wt=13) [] product(product(A,B),C) = product(product(A,C),product(B,C)).
% 0.85/1.22
% 0.85/1.22 ** KEPT: 4 (wt=13) [flip(3)] product(product(A,B),product(C,B)) = product(product(A,C),B).
% 0.85/1.22 clause forward subsumed: 0 (wt=13) [flip(4)] product(product(A,C),B) = product(product(A,B),product(C,B)).
% 0.85/1.22
% 0.85/1.22 ** KEPT: 5 (wt=5) [] product(a1,a6) = a2.
% 0.85/1.22 5 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 6 (wt=5) [] product(a2,a7) = a3.
% 0.85/1.22 6 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 7 (wt=5) [] product(a3,a1) = a4.
% 0.85/1.22 7 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 8 (wt=5) [] product(a4,a10) = a5.
% 0.85/1.22 8 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 9 (wt=5) [] product(a5,a9) = a6.
% 0.85/1.22 9 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 10 (wt=5) [] product(a6,a2) = a7.
% 0.85/1.22 10 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 11 (wt=5) [] product(a7,a3) = a8.
% 0.85/1.22 11 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 12 (wt=5) [] product(a8,a6) = a9.
% 0.85/1.22 12 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 13 (wt=5) [] product(a9,a4) = a10.
% 0.85/1.22 13 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 14 (wt=5) [] product(a10,a5) = a11.
% 0.85/1.22 14 is a new demodulator.
% 0.85/1.22
% 0.85/1.22 ** KEPT: 15 (wt=23) [flip(1)] -(tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8)).
% 0.85/1.22 ---------------- PROOF FOUND ----------------
% 0.85/1.22 % SZS status Unsatisfiable
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 After processing input:
% 0.85/1.22
% 0.85/1.22 Usable:
% 0.85/1.22 end_of_list.
% 0.85/1.22
% 0.85/1.22 Sos:
% 0.85/1.22 1 (wt=5) [] product(A,A) = A.
% 0.85/1.22 5 (wt=5) [] product(a1,a6) = a2.
% 0.85/1.22 6 (wt=5) [] product(a2,a7) = a3.
% 0.85/1.22 7 (wt=5) [] product(a3,a1) = a4.
% 0.85/1.22 8 (wt=5) [] product(a4,a10) = a5.
% 0.85/1.22 9 (wt=5) [] product(a5,a9) = a6.
% 0.85/1.22 10 (wt=5) [] product(a6,a2) = a7.
% 0.85/1.22 11 (wt=5) [] product(a7,a3) = a8.
% 0.85/1.22 12 (wt=5) [] product(a8,a6) = a9.
% 0.85/1.22 13 (wt=5) [] product(a9,a4) = a10.
% 0.85/1.22 14 (wt=5) [] product(a10,a5) = a11.
% 0.85/1.22 2 (wt=7) [] product(product(A,B),B) = A.
% 0.85/1.22 3 (wt=13) [] product(product(A,B),C) = product(product(A,C),product(B,C)).
% 0.85/1.22 4 (wt=13) [flip(3)] product(product(A,B),product(C,B)) = product(product(A,C),B).
% 0.85/1.22 15 (wt=23) [flip(1)] -(tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9) = tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8)).
% 0.85/1.22 end_of_list.
% 0.85/1.22
% 0.85/1.22 Demodulators:
% 0.85/1.22 1 (wt=5) [] product(A,A) = A.
% 0.85/1.22 2 (wt=7) [] product(product(A,B),B) = A.
% 0.85/1.22 5 (wt=5) [] product(a1,a6) = a2.
% 0.85/1.22 6 (wt=5) [] product(a2,a7) = a3.
% 0.85/1.22 7 (wt=5) [] product(a3,a1) = a4.
% 0.85/1.22 8 (wt=5) [] product(a4,a10) = a5.
% 0.85/1.22 9 (wt=5) [] product(a5,a9) = a6.
% 0.85/1.22 10 (wt=5) [] product(a6,a2) = a7.
% 0.85/1.22 11 (wt=5) [] product(a7,a3) = a8.
% 0.85/1.22 12 (wt=5) [] product(a8,a6) = a9.
% 0.85/1.22 13 (wt=5) [] product(a9,a4) = a10.
% 0.85/1.22 14 (wt=5) [] product(a10,a5) = a11.
% 0.85/1.22 end_of_list.
% 0.85/1.22
% 0.85/1.22 Passive:
% 0.85/1.22 end_of_list.
% 0.85/1.22
% 0.85/1.22 UNIT CONFLICT from 1514 and x=x at 0.10 seconds.
% 0.85/1.22
% 0.85/1.22 ---------------- PROOF ----------------
% 0.85/1.22 % SZS output start Refutation
% See solution above
% 0.85/1.22 ------------ end of proof -------------
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 ------------- memory usage ------------
% 0.85/1.22 Memory dynamically allocated (tp_alloc): 2441.
% 0.85/1.22 type (bytes each) gets frees in use avail bytes
% 0.85/1.22 sym_ent ( 96) 64 0 64 0 6.0 K
% 0.85/1.22 term ( 16) 101440 63468 37972 42 736.6 K
% 0.85/1.22 gen_ptr ( 8) 176801 21830 154971 215 1212.4 K
% 0.85/1.22 context ( 808) 88029 88027 2 5 5.5 K
% 0.85/1.22 trail ( 12) 17165 17165 0 5 0.1 K
% 0.85/1.22 bt_node ( 68) 33266 33263 3 11 0.9 K
% 0.85/1.22 ac_position (285432) 0 0 0 0 0.0 K
% 0.85/1.22 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.85/1.22 ac_match_free_vars_pos (4020)
% 0.85/1.22 0 0 0 0 0.0 K
% 0.85/1.22 discrim ( 12) 23467 6413 17054 3266 238.1 K
% 0.85/1.22 flat ( 40) 266928 266928 0 45 1.8 K
% 0.85/1.22 discrim_pos ( 12) 3643 3643 0 1 0.0 K
% 0.85/1.22 fpa_head ( 12) 982 0 982 0 11.5 K
% 0.85/1.22 fpa_tree ( 28) 2294 2294 0 13 0.4 K
% 0.85/1.22 fpa_pos ( 36) 2165 2165 0 1 0.0 K
% 0.85/1.22 literal ( 12) 5685 4171 1514 1 17.8 K
% 0.85/1.22 clause ( 24) 5685 4171 1514 1 35.5 K
% 0.85/1.22 list ( 12) 711 637 74 0 0.9 K
% 0.85/1.22 list_pos ( 20) 6965 2458 4507 446 96.7 K
% 0.85/1.22 pair_index ( 40) 2 0 2 0 0.1 K
% 0.85/1.22
% 0.85/1.22 -------------- statistics -------------
% 0.85/1.22 Clauses input 14
% 0.85/1.22 Usable input 0
% 0.85/1.22 Sos input 14
% 0.85/1.22 Demodulators input 0
% 0.85/1.22 Passive input 0
% 0.85/1.22
% 0.85/1.22 Processed BS (before search) 16
% 0.85/1.22 Forward subsumed BS 1
% 0.85/1.22 Kept BS 15
% 0.85/1.22 New demodulators BS 12
% 0.85/1.22 Back demodulated BS 0
% 0.85/1.22
% 0.85/1.22 Clauses or pairs given 3786
% 0.85/1.22 Clauses generated 3115
% 0.85/1.22 Forward subsumed 1616
% 0.85/1.22 Deleted by weight 0
% 0.85/1.22 Deleted by variable count 0
% 0.85/1.22 Kept 1499
% 0.85/1.22 New demodulators 640
% 0.85/1.22 Back demodulated 509
% 0.85/1.22 Ordered paramod prunes 0
% 0.85/1.22 Basic paramod prunes 8226
% 0.85/1.22 Prime paramod prunes 3
% 0.85/1.22 Semantic prunes 0
% 0.85/1.22
% 0.85/1.22 Rewrite attmepts 46856
% 0.85/1.22 Rewrites 2732
% 0.85/1.22
% 0.85/1.22 FPA overloads 0
% 0.85/1.22 FPA underloads 0
% 0.85/1.22
% 0.85/1.22 Usable size 0
% 0.85/1.22 Sos size 1004
% 0.85/1.22 Demodulators size 266
% 0.85/1.22 Passive size 0
% 0.85/1.22 Disabled size 509
% 0.85/1.22
% 0.85/1.22 Proofs found 1
% 0.85/1.22
% 0.85/1.22 ----------- times (seconds) ----------- Sun May 29 14:27:05 2022
% 0.85/1.22
% 0.85/1.22 user CPU time 0.10 (0 hr, 0 min, 0 sec)
% 0.85/1.22 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.85/1.22 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.85/1.22 input time 0.00
% 0.85/1.22 paramodulation time 0.01
% 0.85/1.22 demodulation time 0.01
% 0.85/1.22 orient time 0.01
% 0.85/1.22 weigh time 0.00
% 0.85/1.22 forward subsume time 0.01
% 0.85/1.22 back demod find time 0.00
% 0.85/1.22 conflict time 0.00
% 0.85/1.22 LRPO time 0.00
% 0.85/1.22 store clause time 0.02
% 0.85/1.22 disable clause time 0.01
% 0.85/1.22 prime paramod time 0.01
% 0.85/1.22 semantics time 0.00
% 0.85/1.22
% 0.85/1.22 EQP interrupted
%------------------------------------------------------------------------------