TSTP Solution File: PUZ054-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ054-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : Mon Jul 18 18:27:25 EDT 2022
% Result : Satisfiable 0.19s 0.41s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(125,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))))),
inference(res,[status(thm),theory(equality)],[73,2]),
[iquote('0:Res:73.0,2.0')] ).
cnf(177,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),
inference(res,[status(thm),theory(equality)],[112,2]),
[iquote('0:Res:112.0,2.0')] ).
cnf(180,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(res,[status(thm),theory(equality)],[166,2]),
[iquote('0:Res:166.0,2.0')] ).
cnf(166,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(res,[status(thm),theory(equality)],[99,2]),
[iquote('0:Res:99.0,2.0')] ).
cnf(112,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(res,[status(thm),theory(equality)],[60,2]),
[iquote('0:Res:60.0,2.0')] ).
cnf(173,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(res,[status(thm),theory(equality)],[170,2]),
[iquote('0:Res:170.0,2.0')] ).
cnf(170,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(res,[status(thm),theory(equality)],[153,2]),
[iquote('0:Res:153.0,2.0')] ).
cnf(153,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(res,[status(thm),theory(equality)],[86,2]),
[iquote('0:Res:86.0,2.0')] ).
cnf(163,plain,
p(n0,s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(res,[status(thm),theory(equality)],[160,2]),
[iquote('0:Res:160.0,2.0')] ).
cnf(99,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(res,[status(thm),theory(equality)],[53,2]),
[iquote('0:Res:53.0,2.0')] ).
cnf(160,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(res,[status(thm),theory(equality)],[157,2]),
[iquote('0:Res:157.0,2.0')] ).
cnf(157,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(n0))))))))),
inference(res,[status(thm),theory(equality)],[138,2]),
[iquote('0:Res:138.0,2.0')] ).
cnf(138,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(n0)))))))),
inference(res,[status(thm),theory(equality)],[23,2]),
[iquote('0:Res:23.0,2.0')] ).
cnf(150,plain,
p(n0,s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(res,[status(thm),theory(equality)],[147,2]),
[iquote('0:Res:147.0,2.0')] ).
cnf(86,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(res,[status(thm),theory(equality)],[17,2]),
[iquote('0:Res:17.0,2.0')] ).
cnf(147,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(n0))))))))),
inference(res,[status(thm),theory(equality)],[144,2]),
[iquote('0:Res:144.0,2.0')] ).
cnf(144,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(n0)))))))),
inference(res,[status(thm),theory(equality)],[141,2]),
[iquote('0:Res:141.0,2.0')] ).
cnf(141,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(n0))))))),
inference(res,[status(thm),theory(equality)],[26,2]),
[iquote('0:Res:26.0,2.0')] ).
cnf(26,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(n0)))))),
inference(res,[status(thm),theory(equality)],[22,2]),
[iquote('0:Res:22.0,2.0')] ).
cnf(23,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(n0))))))),
inference(res,[status(thm),theory(equality)],[16,2]),
[iquote('0:Res:16.0,2.0')] ).
cnf(134,plain,
p(n0,s(s(s(s(s(s(s(s(n0))))))))),
inference(res,[status(thm),theory(equality)],[131,2]),
[iquote('0:Res:131.0,2.0')] ).
cnf(131,plain,
p(s(s(n0)),s(s(s(s(s(s(s(n0)))))))),
inference(res,[status(thm),theory(equality)],[128,2]),
[iquote('0:Res:128.0,2.0')] ).
cnf(128,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(n0))))))),
inference(res,[status(thm),theory(equality)],[122,2]),
[iquote('0:Res:122.0,2.0')] ).
cnf(122,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(n0)))))),
inference(res,[status(thm),theory(equality)],[29,2]),
[iquote('0:Res:29.0,2.0')] ).
cnf(73,plain,
p(s(s(n0)),s(s(s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))))),
inference(res,[status(thm),theory(equality)],[44,2]),
[iquote('0:Res:44.0,2.0')] ).
cnf(29,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(n0))))),
inference(res,[status(thm),theory(equality)],[25,2]),
[iquote('0:Res:25.0,2.0')] ).
cnf(118,plain,
p(n0,s(s(s(s(s(s(s(n0)))))))),
inference(res,[status(thm),theory(equality)],[115,2]),
[iquote('0:Res:115.0,2.0')] ).
cnf(115,plain,
p(s(s(n0)),s(s(s(s(s(s(n0))))))),
inference(res,[status(thm),theory(equality)],[109,2]),
[iquote('0:Res:109.0,2.0')] ).
cnf(109,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(n0)))))),
inference(res,[status(thm),theory(equality)],[106,2]),
[iquote('0:Res:106.0,2.0')] ).
cnf(60,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(res,[status(thm),theory(equality)],[35,2]),
[iquote('0:Res:35.0,2.0')] ).
cnf(106,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(n0))))),
inference(res,[status(thm),theory(equality)],[32,2]),
[iquote('0:Res:32.0,2.0')] ).
cnf(32,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(n0)))),
inference(res,[status(thm),theory(equality)],[28,2]),
[iquote('0:Res:28.0,2.0')] ).
cnf(102,plain,
p(n0,s(s(s(s(s(s(n0))))))),
inference(res,[status(thm),theory(equality)],[96,2]),
[iquote('0:Res:96.0,2.0')] ).
cnf(96,plain,
p(s(s(n0)),s(s(s(s(s(n0)))))),
inference(res,[status(thm),theory(equality)],[93,2]),
[iquote('0:Res:93.0,2.0')] ).
cnf(53,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(res,[status(thm),theory(equality)],[14,2]),
[iquote('0:Res:14.0,2.0')] ).
cnf(93,plain,
p(s(s(s(s(n0)))),s(s(s(s(n0))))),
inference(res,[status(thm),theory(equality)],[90,2]),
[iquote('0:Res:90.0,2.0')] ).
cnf(90,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(n0)))),
inference(res,[status(thm),theory(equality)],[38,2]),
[iquote('0:Res:38.0,2.0')] ).
cnf(38,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(n0))),
inference(res,[status(thm),theory(equality)],[31,2]),
[iquote('0:Res:31.0,2.0')] ).
cnf(83,plain,
p(n0,s(s(s(s(s(n0)))))),
inference(res,[status(thm),theory(equality)],[80,2]),
[iquote('0:Res:80.0,2.0')] ).
cnf(17,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(n0)))))))),
inference(res,[status(thm),theory(equality)],[13,2]),
[iquote('0:Res:13.0,2.0')] ).
cnf(80,plain,
p(s(s(n0)),s(s(s(s(n0))))),
inference(res,[status(thm),theory(equality)],[77,2]),
[iquote('0:Res:77.0,2.0')] ).
cnf(77,plain,
p(s(s(s(s(n0)))),s(s(s(n0)))),
inference(res,[status(thm),theory(equality)],[41,2]),
[iquote('0:Res:41.0,2.0')] ).
cnf(41,plain,
p(s(s(s(s(s(s(n0)))))),s(s(n0))),
inference(res,[status(thm),theory(equality)],[39,2]),
[iquote('0:Res:39.0,2.0')] ).
cnf(70,plain,
p(n0,s(s(s(s(n0))))),
inference(res,[status(thm),theory(equality)],[67,2]),
[iquote('0:Res:67.0,2.0')] ).
cnf(44,plain,
p(s(s(s(s(n0)))),s(s(s(s(s(s(s(s(s(s(s(s(n0))))))))))))),
inference(res,[status(thm),theory(equality)],[20,2]),
[iquote('0:Res:20.0,2.0')] ).
cnf(67,plain,
p(s(s(n0)),s(s(s(n0)))),
inference(res,[status(thm),theory(equality)],[47,2]),
[iquote('0:Res:47.0,2.0')] ).
cnf(47,plain,
p(s(s(s(s(n0)))),s(s(n0))),
inference(res,[status(thm),theory(equality)],[42,2]),
[iquote('0:Res:42.0,2.0')] ).
cnf(63,plain,
p(n0,s(s(s(n0)))),
inference(res,[status(thm),theory(equality)],[50,2]),
[iquote('0:Res:50.0,2.0')] ).
cnf(50,plain,
p(s(s(n0)),s(s(n0))),
inference(res,[status(thm),theory(equality)],[48,2]),
[iquote('0:Res:48.0,2.0')] ).
cnf(35,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(res,[status(thm),theory(equality)],[11,2]),
[iquote('0:Res:11.0,2.0')] ).
cnf(56,plain,
p(n0,s(s(n0))),
inference(res,[status(thm),theory(equality)],[51,2]),
[iquote('0:Res:51.0,2.0')] ).
cnf(57,plain,
p(n0,s(n0)),
inference(res,[status(thm),theory(equality)],[55,2]),
[iquote('0:Res:55.0,2.0')] ).
cnf(55,plain,
p(s(s(n0)),n0),
inference(res,[status(thm),theory(equality)],[51,4]),
[iquote('0:Res:51.0,4.0')] ).
cnf(51,plain,
p(s(s(n0)),s(n0)),
inference(res,[status(thm),theory(equality)],[49,2]),
[iquote('0:Res:49.0,2.0')] ).
cnf(14,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(res,[status(thm),theory(equality)],[12,2]),
[iquote('0:Res:12.0,2.0')] ).
cnf(49,plain,
p(s(s(s(s(n0)))),n0),
inference(res,[status(thm),theory(equality)],[48,4]),
[iquote('0:Res:48.0,4.0')] ).
cnf(48,plain,
p(s(s(s(s(n0)))),s(n0)),
inference(res,[status(thm),theory(equality)],[46,2]),
[iquote('0:Res:46.0,2.0')] ).
cnf(46,plain,
p(s(s(s(s(s(s(n0)))))),n0),
inference(res,[status(thm),theory(equality)],[42,4]),
[iquote('0:Res:42.0,4.0')] ).
cnf(42,plain,
p(s(s(s(s(s(s(n0)))))),s(n0)),
inference(res,[status(thm),theory(equality)],[40,2]),
[iquote('0:Res:40.0,2.0')] ).
cnf(20,plain,
p(s(s(s(s(s(s(n0)))))),s(s(s(s(s(s(s(s(s(s(s(n0)))))))))))),
inference(res,[status(thm),theory(equality)],[8,2]),
[iquote('0:Res:8.0,2.0')] ).
cnf(40,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),n0),
inference(res,[status(thm),theory(equality)],[39,4]),
[iquote('0:Res:39.0,4.0')] ).
cnf(39,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(n0)),
inference(res,[status(thm),theory(equality)],[37,2]),
[iquote('0:Res:37.0,2.0')] ).
cnf(37,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),n0),
inference(res,[status(thm),theory(equality)],[31,4]),
[iquote('0:Res:31.0,4.0')] ).
cnf(31,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(n0)),
inference(res,[status(thm),theory(equality)],[28,4]),
[iquote('0:Res:28.0,4.0')] ).
cnf(11,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
inference(res,[status(thm),theory(equality)],[9,2]),
[iquote('0:Res:9.0,2.0')] ).
cnf(28,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(n0))),
inference(res,[status(thm),theory(equality)],[25,4]),
[iquote('0:Res:25.0,4.0')] ).
cnf(25,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(n0)))),
inference(res,[status(thm),theory(equality)],[22,4]),
[iquote('0:Res:22.0,4.0')] ).
cnf(22,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(n0))))),
inference(res,[status(thm),theory(equality)],[16,4]),
[iquote('0:Res:16.0,4.0')] ).
cnf(16,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(n0)))))),
inference(res,[status(thm),theory(equality)],[13,4]),
[iquote('0:Res:13.0,4.0')] ).
cnf(8,plain,
p(s(s(s(s(s(s(s(s(n0)))))))),s(s(s(s(s(s(s(s(s(s(n0))))))))))),
inference(res,[status(thm),theory(equality)],[1,2]),
[iquote('0:Res:1.0,2.0')] ).
cnf(13,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(n0))))))),
inference(res,[status(thm),theory(equality)],[12,4]),
[iquote('0:Res:12.0,4.0')] ).
cnf(12,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(n0)))))))),
inference(res,[status(thm),theory(equality)],[9,3]),
[iquote('0:Res:9.0,3.0')] ).
cnf(9,plain,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(n0))))))))),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(1,axiom,
p(s(s(s(s(s(s(s(s(s(s(n0)))))))))),s(s(s(s(s(s(s(s(s(n0)))))))))),
file('PUZ054-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p(u,s(s(v)))
| p(u,s(v)) ),
file('PUZ054-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ p(s(s(u)),v)
| p(u,s(v)) ),
file('PUZ054-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ p(s(u),s(v))
| p(s(u),v) ),
file('PUZ054-1.p',unknown),
[] ).
cnf(6,plain,
~ p(s(n0),s(n0)),
inference(res,[status(thm),theory(equality)],[4,5]),
[iquote('0:Res:4.1,5.0')] ).
cnf(5,axiom,
~ p(s(n0),n0),
file('PUZ054-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ054-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 02:41:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Completion found.
% 0.19/0.41 % SZS status CounterSatisfiable
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 179 clauses, backtracked 0 clauses, performed 0 splits and kept 79 clauses.
% 0.19/0.41 SPASS allocated 63197 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.03 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 The saturated set of worked-off clauses is :
% 0.19/0.41 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------