TSTP Solution File: TOP053-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %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 : Thu Jul 21 21:35:14 EDT 2022
% Result : Unsatisfiable 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 19
% Syntax : Number of clauses : 143 ( 143 unt; 0 nHn; 143 RR)
% Number of literals : 143 ( 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 : 20 ( 20 usr; 18 con; 0-14 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(product(u,u),u),
file('TOP053-1.p',unknown),
[] ).
cnf(2,axiom,
equal(product(product(u,v),v),u),
file('TOP053-1.p',unknown),
[] ).
cnf(3,axiom,
equal(product(product(u,v),product(w,v)),product(product(u,w),v)),
file('TOP053-1.p',unknown),
[] ).
cnf(4,axiom,
equal(product(a1,a2),a3),
file('TOP053-1.p',unknown),
[] ).
cnf(5,axiom,
equal(product(a3,a4),a5),
file('TOP053-1.p',unknown),
[] ).
cnf(6,axiom,
equal(product(a5,a6),a7),
file('TOP053-1.p',unknown),
[] ).
cnf(7,axiom,
equal(product(a7,a3),a8),
file('TOP053-1.p',unknown),
[] ).
cnf(8,axiom,
equal(product(a8,a2),a9),
file('TOP053-1.p',unknown),
[] ).
cnf(9,axiom,
equal(product(a9,a1),a10),
file('TOP053-1.p',unknown),
[] ).
cnf(10,axiom,
equal(product(a10,a11),a12),
file('TOP053-1.p',unknown),
[] ).
cnf(11,axiom,
equal(product(a12,a3),a13),
file('TOP053-1.p',unknown),
[] ).
cnf(12,axiom,
equal(product(a13,a8),a6),
file('TOP053-1.p',unknown),
[] ).
cnf(13,axiom,
equal(product(a6,a7),a2),
file('TOP053-1.p',unknown),
[] ).
cnf(14,axiom,
equal(product(a2,a12),a14),
file('TOP053-1.p',unknown),
[] ).
cnf(15,axiom,
equal(product(a14,a3),a15),
file('TOP053-1.p',unknown),
[] ).
cnf(16,axiom,
equal(product(a15,a8),a4),
file('TOP053-1.p',unknown),
[] ).
cnf(17,axiom,
equal(product(a4,a7),a11),
file('TOP053-1.p',unknown),
[] ).
cnf(18,axiom,
equal(product(a11,a10),a1),
file('TOP053-1.p',unknown),
[] ).
cnf(19,axiom,
~ equal(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)),
file('TOP053-1.p',unknown),
[] ).
cnf(38,plain,
equal(product(a1,a10),a11),
inference(spr,[status(thm),theory(equality)],[18,2]),
[iquote('0:SpR:18.0,2.0')] ).
cnf(39,plain,
equal(product(a11,a7),a4),
inference(spr,[status(thm),theory(equality)],[17,2]),
[iquote('0:SpR:17.0,2.0')] ).
cnf(40,plain,
equal(product(a2,a7),a6),
inference(spr,[status(thm),theory(equality)],[13,2]),
[iquote('0:SpR:13.0,2.0')] ).
cnf(42,plain,
equal(product(a6,a8),a13),
inference(spr,[status(thm),theory(equality)],[12,2]),
[iquote('0:SpR:12.0,2.0')] ).
cnf(43,plain,
equal(product(a15,a3),a14),
inference(spr,[status(thm),theory(equality)],[15,2]),
[iquote('0:SpR:15.0,2.0')] ).
cnf(44,plain,
equal(product(a13,a3),a12),
inference(spr,[status(thm),theory(equality)],[11,2]),
[iquote('0:SpR:11.0,2.0')] ).
cnf(45,plain,
equal(product(a8,a3),a7),
inference(spr,[status(thm),theory(equality)],[7,2]),
[iquote('0:SpR:7.0,2.0')] ).
cnf(46,plain,
equal(product(a14,a12),a2),
inference(spr,[status(thm),theory(equality)],[14,2]),
[iquote('0:SpR:14.0,2.0')] ).
cnf(47,plain,
equal(product(a12,a11),a10),
inference(spr,[status(thm),theory(equality)],[10,2]),
[iquote('0:SpR:10.0,2.0')] ).
cnf(48,plain,
equal(product(a10,a1),a9),
inference(spr,[status(thm),theory(equality)],[9,2]),
[iquote('0:SpR:9.0,2.0')] ).
cnf(49,plain,
equal(product(a9,a2),a8),
inference(spr,[status(thm),theory(equality)],[8,2]),
[iquote('0:SpR:8.0,2.0')] ).
cnf(52,plain,
equal(product(a5,a4),a3),
inference(spr,[status(thm),theory(equality)],[5,2]),
[iquote('0:SpR:5.0,2.0')] ).
cnf(64,plain,
equal(product(product(u,a10),a11),product(product(u,a1),a10)),
inference(spr,[status(thm),theory(equality)],[38,3]),
[iquote('0:SpR:38.0,3.0')] ).
cnf(67,plain,
equal(product(product(u,a11),a7),product(product(u,a7),a4)),
inference(spr,[status(thm),theory(equality)],[39,3]),
[iquote('0:SpR:39.0,3.0')] ).
cnf(69,plain,
equal(product(product(u,a13),a8),product(product(u,a8),a6)),
inference(spr,[status(thm),theory(equality)],[12,3]),
[iquote('0:SpR:12.0,3.0')] ).
cnf(71,plain,
equal(product(product(u,a12),a3),product(product(u,a3),a13)),
inference(spr,[status(thm),theory(equality)],[11,3]),
[iquote('0:SpR:11.0,3.0')] ).
cnf(72,plain,
equal(product(product(u,a7),a3),product(product(u,a3),a8)),
inference(spr,[status(thm),theory(equality)],[7,3]),
[iquote('0:SpR:7.0,3.0')] ).
cnf(74,plain,
equal(product(product(u,a11),a12),product(product(u,a10),a11)),
inference(spr,[status(thm),theory(equality)],[10,3]),
[iquote('0:SpR:10.0,3.0')] ).
cnf(77,plain,
equal(product(product(u,a2),a3),product(product(u,a1),a2)),
inference(spr,[status(thm),theory(equality)],[4,3]),
[iquote('0:SpR:4.0,3.0')] ).
cnf(79,plain,
equal(product(product(u,a4),a5),product(product(u,a3),a4)),
inference(spr,[status(thm),theory(equality)],[5,3]),
[iquote('0:SpR:5.0,3.0')] ).
cnf(82,plain,
equal(product(product(a11,u),a10),product(a1,product(u,a10))),
inference(spr,[status(thm),theory(equality)],[18,3]),
[iquote('0:SpR:18.0,3.0')] ).
cnf(83,plain,
equal(product(product(a1,u),a10),product(a11,product(u,a10))),
inference(spr,[status(thm),theory(equality)],[38,3]),
[iquote('0:SpR:38.0,3.0')] ).
cnf(84,plain,
equal(product(product(a4,u),a7),product(a11,product(u,a7))),
inference(spr,[status(thm),theory(equality)],[17,3]),
[iquote('0:SpR:17.0,3.0')] ).
cnf(85,plain,
equal(product(product(a6,u),a7),product(a2,product(u,a7))),
inference(spr,[status(thm),theory(equality)],[13,3]),
[iquote('0:SpR:13.0,3.0')] ).
cnf(93,plain,
equal(product(product(a10,u),a11),product(a12,product(u,a11))),
inference(spr,[status(thm),theory(equality)],[10,3]),
[iquote('0:SpR:10.0,3.0')] ).
cnf(96,plain,
equal(product(product(a1,u),a2),product(a3,product(u,a2))),
inference(spr,[status(thm),theory(equality)],[4,3]),
[iquote('0:SpR:4.0,3.0')] ).
cnf(99,plain,
equal(product(product(u,v),u),product(u,product(v,u))),
inference(spr,[status(thm),theory(equality)],[1,3]),
[iquote('0:SpR:1.0,3.0')] ).
cnf(102,plain,
equal(product(product(u,a11),a12),product(product(u,a1),a10)),
inference(rew,[status(thm),theory(equality)],[64,74]),
[iquote('0:Rew:64.0,74.0')] ).
cnf(115,plain,
equal(product(product(a6,u),a8),product(a13,product(u,a8))),
inference(spr,[status(thm),theory(equality)],[42,3]),
[iquote('0:SpR:42.0,3.0')] ).
cnf(189,plain,
equal(product(product(a10,a1),a10),product(a10,a11)),
inference(spr,[status(thm),theory(equality)],[1,64]),
[iquote('0:SpR:1.0,64.0')] ).
cnf(194,plain,
equal(product(a9,a10),a12),
inference(rew,[status(thm),theory(equality)],[48,189,10]),
[iquote('0:Rew:48.0,189.0,10.0,189.0')] ).
cnf(198,plain,
equal(product(a12,a10),a9),
inference(spr,[status(thm),theory(equality)],[194,2]),
[iquote('0:SpR:194.0,2.0')] ).
cnf(216,plain,
equal(product(product(a12,a7),a4),product(a10,a7)),
inference(spr,[status(thm),theory(equality)],[47,67]),
[iquote('0:SpR:47.0,67.0')] ).
cnf(268,plain,
equal(product(product(a2,a3),a13),product(a14,a3)),
inference(spr,[status(thm),theory(equality)],[14,71]),
[iquote('0:SpR:14.0,71.0')] ).
cnf(269,plain,
equal(product(product(a14,a3),a13),product(a2,a3)),
inference(spr,[status(thm),theory(equality)],[46,71]),
[iquote('0:SpR:46.0,71.0')] ).
cnf(272,plain,
equal(product(product(a2,a3),a13),a15),
inference(rew,[status(thm),theory(equality)],[15,268]),
[iquote('0:Rew:15.0,268.0')] ).
cnf(273,plain,
equal(product(a15,a13),product(a2,a3)),
inference(rew,[status(thm),theory(equality)],[15,269]),
[iquote('0:Rew:15.0,269.0')] ).
cnf(286,plain,
equal(product(product(a15,a8),a6),product(product(a2,a3),a8)),
inference(spr,[status(thm),theory(equality)],[273,69]),
[iquote('0:SpR:273.0,69.0')] ).
cnf(289,plain,
equal(product(product(a2,a3),a8),product(a4,a6)),
inference(rew,[status(thm),theory(equality)],[16,286]),
[iquote('0:Rew:16.0,286.0')] ).
cnf(302,plain,
equal(product(product(a6,a3),a8),product(a2,a3)),
inference(spr,[status(thm),theory(equality)],[13,72]),
[iquote('0:SpR:13.0,72.0')] ).
cnf(304,plain,
equal(product(product(a2,a3),a8),product(a6,a3)),
inference(spr,[status(thm),theory(equality)],[40,72]),
[iquote('0:SpR:40.0,72.0')] ).
cnf(309,plain,
equal(product(a13,product(a3,a8)),product(a2,a3)),
inference(rew,[status(thm),theory(equality)],[115,302]),
[iquote('0:Rew:115.0,302.0')] ).
cnf(310,plain,
equal(product(a6,a3),product(a4,a6)),
inference(rew,[status(thm),theory(equality)],[289,304]),
[iquote('0:Rew:289.0,304.0')] ).
cnf(360,plain,
equal(product(product(a11,a1),a10),product(a11,a12)),
inference(spr,[status(thm),theory(equality)],[1,102]),
[iquote('0:SpR:1.0,102.0')] ).
cnf(365,plain,
equal(product(a1,product(a1,a10)),product(a11,a12)),
inference(rew,[status(thm),theory(equality)],[82,360]),
[iquote('0:Rew:82.0,360.0')] ).
cnf(366,plain,
equal(product(a11,a12),product(a1,a11)),
inference(rew,[status(thm),theory(equality)],[38,365]),
[iquote('0:Rew:38.0,365.0')] ).
cnf(480,plain,
equal(product(product(a9,a1),a2),product(a8,a3)),
inference(spr,[status(thm),theory(equality)],[49,77]),
[iquote('0:SpR:49.0,77.0')] ).
cnf(488,plain,
equal(product(a10,a2),a7),
inference(rew,[status(thm),theory(equality)],[9,480,45]),
[iquote('0:Rew:9.0,480.0,45.0,480.0')] ).
cnf(540,plain,
equal(product(product(product(a12,a7),a3),a4),product(product(a10,a7),a5)),
inference(spr,[status(thm),theory(equality)],[216,79]),
[iquote('0:SpR:216.0,79.0')] ).
cnf(552,plain,
equal(product(product(a10,a7),a5),product(a6,a4)),
inference(rew,[status(thm),theory(equality)],[12,540,11,72]),
[iquote('0:Rew:12.0,540.0,11.0,540.0,72.0,540.0')] ).
cnf(553,plain,
equal(product(product(a6,a4),a5),product(a10,a7)),
inference(spr,[status(thm),theory(equality)],[552,2]),
[iquote('0:SpR:552.0,2.0')] ).
cnf(557,plain,
equal(product(product(a4,a6),a4),product(a10,a7)),
inference(rew,[status(thm),theory(equality)],[310,553,79]),
[iquote('0:Rew:310.0,553.0,79.0,553.0')] ).
cnf(558,plain,
equal(product(a4,product(a6,a4)),product(a10,a7)),
inference(rew,[status(thm),theory(equality)],[99,557]),
[iquote('0:Rew:99.0,557.0')] ).
cnf(587,plain,
equal(product(product(a1,a11),a10),product(a1,product(a12,a10))),
inference(spr,[status(thm),theory(equality)],[366,82]),
[iquote('0:SpR:366.0,82.0')] ).
cnf(594,plain,
equal(product(product(a1,a11),a10),product(a1,a9)),
inference(rew,[status(thm),theory(equality)],[198,587]),
[iquote('0:Rew:198.0,587.0')] ).
cnf(595,plain,
equal(product(a11,product(a11,a10)),product(a1,a9)),
inference(rew,[status(thm),theory(equality)],[83,594]),
[iquote('0:Rew:83.0,594.0')] ).
cnf(596,plain,
equal(product(a11,a1),product(a1,a9)),
inference(rew,[status(thm),theory(equality)],[18,595]),
[iquote('0:Rew:18.0,595.0')] ).
cnf(647,plain,
equal(product(a11,product(product(a6,a4),a7)),product(product(a10,a7),a7)),
inference(spr,[status(thm),theory(equality)],[558,84]),
[iquote('0:SpR:558.0,84.0')] ).
cnf(654,plain,
equal(product(a11,product(product(a6,a4),a7)),a10),
inference(rew,[status(thm),theory(equality)],[2,647]),
[iquote('0:Rew:2.0,647.0')] ).
cnf(655,plain,
equal(product(a11,product(a2,product(a4,a7))),a10),
inference(rew,[status(thm),theory(equality)],[85,654]),
[iquote('0:Rew:85.0,654.0')] ).
cnf(656,plain,
equal(product(a11,product(a2,a11)),a10),
inference(rew,[status(thm),theory(equality)],[17,655]),
[iquote('0:Rew:17.0,655.0')] ).
cnf(659,plain,
equal(product(a10,product(a2,a11)),a11),
inference(spr,[status(thm),theory(equality)],[656,2]),
[iquote('0:SpR:656.0,2.0')] ).
cnf(1042,plain,
equal(product(a12,product(product(a2,a11),a11)),product(a11,a11)),
inference(spr,[status(thm),theory(equality)],[659,93]),
[iquote('0:SpR:659.0,93.0')] ).
cnf(1051,plain,
equal(product(a12,a2),a11),
inference(rew,[status(thm),theory(equality)],[2,1042,1]),
[iquote('0:Rew:2.0,1042.0,1.0,1042.0')] ).
cnf(1055,plain,
equal(product(a11,a2),a12),
inference(spr,[status(thm),theory(equality)],[1051,2]),
[iquote('0:SpR:1051.0,2.0')] ).
cnf(1089,plain,
equal(product(product(a11,a1),a2),product(a12,a3)),
inference(spr,[status(thm),theory(equality)],[1055,77]),
[iquote('0:SpR:1055.0,77.0')] ).
cnf(1093,plain,
equal(product(product(a1,a9),a2),a13),
inference(rew,[status(thm),theory(equality)],[596,1089,11]),
[iquote('0:Rew:596.0,1089.0,11.0,1089.0')] ).
cnf(1094,plain,
equal(product(a3,product(a9,a2)),a13),
inference(rew,[status(thm),theory(equality)],[96,1093]),
[iquote('0:Rew:96.0,1093.0')] ).
cnf(1095,plain,
equal(product(a3,a8),a13),
inference(rew,[status(thm),theory(equality)],[49,1094]),
[iquote('0:Rew:49.0,1094.0')] ).
cnf(1097,plain,
equal(product(a13,a13),product(a2,a3)),
inference(rew,[status(thm),theory(equality)],[1095,309]),
[iquote('0:Rew:1095.0,309.0')] ).
cnf(1131,plain,
equal(product(a2,a3),a13),
inference(rew,[status(thm),theory(equality)],[1,1097]),
[iquote('0:Rew:1.0,1097.0')] ).
cnf(1132,plain,
equal(product(a13,a13),a15),
inference(rew,[status(thm),theory(equality)],[1131,272]),
[iquote('0:Rew:1131.0,272.0')] ).
cnf(1151,plain,
equal(a15,a13),
inference(rew,[status(thm),theory(equality)],[1,1132]),
[iquote('0:Rew:1.0,1132.0')] ).
cnf(1152,plain,
equal(product(a13,a8),a4),
inference(rew,[status(thm),theory(equality)],[1151,16]),
[iquote('0:Rew:1151.0,16.0')] ).
cnf(1155,plain,
equal(product(a13,a3),a14),
inference(rew,[status(thm),theory(equality)],[1151,43]),
[iquote('0:Rew:1151.0,43.0')] ).
cnf(1156,plain,
~ equal(tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a13),tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)),
inference(rew,[status(thm),theory(equality)],[1151,19]),
[iquote('0:Rew:1151.0,19.0')] ).
cnf(1198,plain,
equal(a6,a4),
inference(rew,[status(thm),theory(equality)],[12,1152]),
[iquote('0:Rew:12.0,1152.0')] ).
cnf(1199,plain,
equal(product(a4,a7),a2),
inference(rew,[status(thm),theory(equality)],[1198,13]),
[iquote('0:Rew:1198.0,13.0')] ).
cnf(1201,plain,
equal(product(a5,a4),a7),
inference(rew,[status(thm),theory(equality)],[1198,6]),
[iquote('0:Rew:1198.0,6.0')] ).
cnf(1202,plain,
equal(product(a2,a7),a4),
inference(rew,[status(thm),theory(equality)],[1198,40]),
[iquote('0:Rew:1198.0,40.0')] ).
cnf(1270,plain,
equal(a14,a12),
inference(rew,[status(thm),theory(equality)],[44,1155]),
[iquote('0:Rew:44.0,1155.0')] ).
cnf(1272,plain,
equal(product(a12,a12),a2),
inference(rew,[status(thm),theory(equality)],[1270,46]),
[iquote('0:Rew:1270.0,46.0')] ).
cnf(1290,plain,
equal(a11,a2),
inference(rew,[status(thm),theory(equality)],[17,1199]),
[iquote('0:Rew:17.0,1199.0')] ).
cnf(1291,plain,
equal(product(a2,a10),a1),
inference(rew,[status(thm),theory(equality)],[1290,18]),
[iquote('0:Rew:1290.0,18.0')] ).
cnf(1296,plain,
equal(product(a12,a2),a10),
inference(rew,[status(thm),theory(equality)],[1290,47]),
[iquote('0:Rew:1290.0,47.0')] ).
cnf(1365,plain,
equal(a7,a3),
inference(rew,[status(thm),theory(equality)],[52,1201]),
[iquote('0:Rew:52.0,1201.0')] ).
cnf(1366,plain,
equal(product(a3,a3),a8),
inference(rew,[status(thm),theory(equality)],[1365,7]),
[iquote('0:Rew:1365.0,7.0')] ).
cnf(1371,plain,
equal(product(a10,a2),a3),
inference(rew,[status(thm),theory(equality)],[1365,488]),
[iquote('0:Rew:1365.0,488.0')] ).
cnf(1411,plain,
equal(a13,a4),
inference(rew,[status(thm),theory(equality)],[1131,1202,1365]),
[iquote('0:Rew:1131.0,1202.0,1365.0,1202.0')] ).
cnf(1412,plain,
equal(product(a12,a3),a4),
inference(rew,[status(thm),theory(equality)],[1411,11]),
[iquote('0:Rew:1411.0,11.0')] ).
cnf(1432,plain,
equal(a12,a2),
inference(rew,[status(thm),theory(equality)],[1,1272]),
[iquote('0:Rew:1.0,1272.0')] ).
cnf(1434,plain,
equal(product(a2,a10),a9),
inference(rew,[status(thm),theory(equality)],[1432,198]),
[iquote('0:Rew:1432.0,198.0')] ).
cnf(1440,plain,
equal(a14,a2),
inference(rew,[status(thm),theory(equality)],[1432,1270]),
[iquote('0:Rew:1432.0,1270.0')] ).
cnf(1446,plain,
equal(product(a2,a2),a10),
inference(rew,[status(thm),theory(equality)],[1432,1296]),
[iquote('0:Rew:1432.0,1296.0')] ).
cnf(1447,plain,
equal(a10,a2),
inference(rew,[status(thm),theory(equality)],[1,1446]),
[iquote('0:Rew:1.0,1446.0')] ).
cnf(1462,plain,
equal(product(a2,a2),a1),
inference(rew,[status(thm),theory(equality)],[1447,1291]),
[iquote('0:Rew:1447.0,1291.0')] ).
cnf(1468,plain,
equal(a8,a3),
inference(rew,[status(thm),theory(equality)],[1,1366]),
[iquote('0:Rew:1.0,1366.0')] ).
cnf(1480,plain,
equal(product(a2,a2),a3),
inference(rew,[status(thm),theory(equality)],[1447,1371]),
[iquote('0:Rew:1447.0,1371.0')] ).
cnf(1481,plain,
equal(a3,a2),
inference(rew,[status(thm),theory(equality)],[1,1480]),
[iquote('0:Rew:1.0,1480.0')] ).
cnf(1482,plain,
equal(product(a2,a4),a5),
inference(rew,[status(thm),theory(equality)],[1481,5]),
[iquote('0:Rew:1481.0,5.0')] ).
cnf(1498,plain,
equal(a7,a2),
inference(rew,[status(thm),theory(equality)],[1481,1365]),
[iquote('0:Rew:1481.0,1365.0')] ).
cnf(1501,plain,
equal(a8,a2),
inference(rew,[status(thm),theory(equality)],[1481,1468]),
[iquote('0:Rew:1481.0,1468.0')] ).
cnf(1503,plain,
equal(product(a2,a2),a4),
inference(rew,[status(thm),theory(equality)],[1432,1412,1481]),
[iquote('0:Rew:1432.0,1412.0,1481.0,1412.0')] ).
cnf(1504,plain,
equal(a4,a2),
inference(rew,[status(thm),theory(equality)],[1,1503]),
[iquote('0:Rew:1.0,1503.0')] ).
cnf(1505,plain,
equal(a6,a2),
inference(rew,[status(thm),theory(equality)],[1504,1198]),
[iquote('0:Rew:1504.0,1198.0')] ).
cnf(1506,plain,
equal(a13,a2),
inference(rew,[status(thm),theory(equality)],[1504,1411]),
[iquote('0:Rew:1504.0,1411.0')] ).
cnf(1514,plain,
equal(product(a2,a2),a9),
inference(rew,[status(thm),theory(equality)],[1447,1434]),
[iquote('0:Rew:1447.0,1434.0')] ).
cnf(1515,plain,
equal(a9,a2),
inference(rew,[status(thm),theory(equality)],[1,1514]),
[iquote('0:Rew:1.0,1514.0')] ).
cnf(1519,plain,
equal(a2,a1),
inference(rew,[status(thm),theory(equality)],[1,1462]),
[iquote('0:Rew:1.0,1462.0')] ).
cnf(1520,plain,
equal(a11,a1),
inference(rew,[status(thm),theory(equality)],[1519,1290]),
[iquote('0:Rew:1519.0,1290.0')] ).
cnf(1521,plain,
equal(a12,a1),
inference(rew,[status(thm),theory(equality)],[1519,1432]),
[iquote('0:Rew:1519.0,1432.0')] ).
cnf(1522,plain,
equal(a14,a1),
inference(rew,[status(thm),theory(equality)],[1519,1440]),
[iquote('0:Rew:1519.0,1440.0')] ).
cnf(1523,plain,
equal(a10,a1),
inference(rew,[status(thm),theory(equality)],[1519,1447]),
[iquote('0:Rew:1519.0,1447.0')] ).
cnf(1524,plain,
equal(a3,a1),
inference(rew,[status(thm),theory(equality)],[1519,1481]),
[iquote('0:Rew:1519.0,1481.0')] ).
cnf(1525,plain,
equal(a7,a1),
inference(rew,[status(thm),theory(equality)],[1519,1498]),
[iquote('0:Rew:1519.0,1498.0')] ).
cnf(1526,plain,
equal(a8,a1),
inference(rew,[status(thm),theory(equality)],[1519,1501]),
[iquote('0:Rew:1519.0,1501.0')] ).
cnf(1527,plain,
equal(a4,a1),
inference(rew,[status(thm),theory(equality)],[1519,1504]),
[iquote('0:Rew:1519.0,1504.0')] ).
cnf(1528,plain,
equal(a6,a1),
inference(rew,[status(thm),theory(equality)],[1519,1505]),
[iquote('0:Rew:1519.0,1505.0')] ).
cnf(1529,plain,
equal(a13,a1),
inference(rew,[status(thm),theory(equality)],[1519,1506]),
[iquote('0:Rew:1519.0,1506.0')] ).
cnf(1531,plain,
equal(a9,a1),
inference(rew,[status(thm),theory(equality)],[1519,1515]),
[iquote('0:Rew:1519.0,1515.0')] ).
cnf(1537,plain,
equal(product(a1,a1),a5),
inference(rew,[status(thm),theory(equality)],[1519,1482,1527]),
[iquote('0:Rew:1519.0,1482.0,1527.0,1482.0')] ).
cnf(1538,plain,
equal(a5,a1),
inference(rew,[status(thm),theory(equality)],[1,1537]),
[iquote('0:Rew:1.0,1537.0')] ).
cnf(2054,plain,
~ equal(tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1)),
inference(rew,[status(thm),theory(equality)],[1519,1156,1524,1527,1538,1528,1525,1526,1531,1523,1520,1521,1529,1522]),
[iquote('0:Rew:1519.0,1156.0,1524.0,1156.0,1527.0,1156.0,1538.0,1156.0,1528.0,1156.0,1525.0,1156.0,1526.0,1156.0,1531.0,1156.0,1523.0,1156.0,1520.0,1156.0,1521.0,1156.0,1529.0,1156.0,1522.0,1156.0')] ).
cnf(2055,plain,
$false,
inference(obv,[status(thm),theory(equality)],[2054]),
[iquote('0:Obv:2054.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun May 29 14:28:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.40/0.58
% 0.40/0.58 SPASS V 3.9
% 0.40/0.58 SPASS beiseite: Proof found.
% 0.40/0.58 % SZS status Theorem
% 0.40/0.58 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.58 SPASS derived 1148 clauses, backtracked 0 clauses, performed 0 splits and kept 464 clauses.
% 0.40/0.58 SPASS allocated 64831 KBytes.
% 0.40/0.58 SPASS spent 0:00:00.23 on the problem.
% 0.40/0.58 0:00:00.03 for the input.
% 0.40/0.58 0:00:00.00 for the FLOTTER CNF translation.
% 0.40/0.58 0:00:00.01 for inferences.
% 0.40/0.58 0:00:00.00 for the backtracking.
% 0.40/0.58 0:00:00.16 for the reduction.
% 0.40/0.58
% 0.40/0.58
% 0.40/0.58 Here is a proof with depth 10, length 143 :
% 0.40/0.58 % SZS output start Refutation
% See solution above
% 0.40/0.60 Formulae used in the proof : involutory_quandle involutory_quandle_01 involutory_quandle_02 knot knot_03 knot_04 knot_05 knot_06 knot_07 knot_08 knot_09 knot_10 knot_11 knot_12 knot_13 knot_14 knot_15 knot_16 goal
% 0.40/0.60
%------------------------------------------------------------------------------