TSTP Solution File: COM003+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM003+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 : Fri Jul 15 01:44:11 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of clauses : 134 ( 33 unt; 13 nHn; 134 RR)
% Number of literals : 340 ( 0 equ; 238 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 4 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
algorithm(skc4),
file('COM003+1.p',unknown),
[] ).
cnf(2,axiom,
program(skc5),
file('COM003+1.p',unknown),
[] ).
cnf(3,axiom,
program(skc6),
file('COM003+1.p',unknown),
[] ).
cnf(4,axiom,
program(skc7),
file('COM003+1.p',unknown),
[] ).
cnf(5,axiom,
program(skf8(u)),
file('COM003+1.p',unknown),
[] ).
cnf(6,axiom,
program(skf10(u)),
file('COM003+1.p',unknown),
[] ).
cnf(7,axiom,
program(skf13(u)),
file('COM003+1.p',unknown),
[] ).
cnf(8,axiom,
program(skf15(u)),
file('COM003+1.p',unknown),
[] ).
cnf(9,axiom,
( program(u)
| skP1(v,u) ),
file('COM003+1.p',unknown),
[] ).
cnf(10,axiom,
( program(u)
| skP2(v,u) ),
file('COM003+1.p',unknown),
[] ).
cnf(11,axiom,
( skP1(u,v)
| halts2(v,v) ),
file('COM003+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ program(u)
| decides(skc4,u,v) ),
file('COM003+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ program(u)
| ~ skC0
| decides(skc5,u,v) ),
file('COM003+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ algorithm(u)
| ~ decides(u,skf8(u),skf9(u))
| skC0 ),
file('COM003+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ program(u)
| ~ skC1
| halts2(skc6,u)
| halts2(u,u) ),
file('COM003+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ program(u)
| ~ skC1
| halts2(u,u)
| outputs(skc6,bad) ),
file('COM003+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ program(u)
| ~ skC2
| halts2(u,u)
| halts2(skc7,u) ),
file('COM003+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ program(u)
| ~ skC2
| halts2(u,u)
| outputs(skc7,bad) ),
file('COM003+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ halts2(u,v)
| ~ outputs(u,good)
| skP2(u,v) ),
file('COM003+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ skP0(u)
| ~ program(v)
| halts2(v,w)
| outputs(u,bad) ),
file('COM003+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ program(u)
| ~ decides(u,skf10(u),skf11(u))
| skP0(u) ),
file('COM003+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ program(u)
| ~ halts2(u,u)
| ~ skC1
| halts2(skc6,u) ),
file('COM003+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ program(u)
| ~ skC1
| ~ halts2(u,u)
| outputs(skc6,good) ),
file('COM003+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ outputs(u,good)
| ~ halts3(u,v,v)
| skP1(u,v) ),
file('COM003+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ skP0(u)
| ~ program(v)
| ~ halts2(v,w)
| outputs(u,good) ),
file('COM003+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ program(u)
| ~ skP0(v)
| halts3(v,u,w)
| halts2(u,w) ),
file('COM003+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ program(u)
| ~ skC2
| ~ halts2(u,u)
| ~ halts2(skc7,u) ),
file('COM003+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ program(u)
| ~ skP0(v)
| ~ halts2(u,w)
| halts3(v,u,w) ),
file('COM003+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ program(u)
| ~ skP1(u,skf12(u))
| ~ halts2(skf13(u),skf13(u))
| skC1 ),
file('COM003+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ program(u)
| ~ skP2(u,skf14(u))
| ~ halts2(skf15(u),skf15(u))
| skC2 ),
file('COM003+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ program(u)
| ~ outputs(u,bad)
| ~ skP2(u,skf14(u))
| ~ halts2(u,skf15(u))
| skC2 ),
file('COM003+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ program(u)
| ~ outputs(u,bad)
| ~ skP1(u,skf12(u))
| ~ halts3(u,skf13(u),skf13(u))
| skC1 ),
file('COM003+1.p',unknown),
[] ).
cnf(34,plain,
( ~ program(u)
| ~ skC1
| halts2(skc6,u) ),
inference(mrr,[status(thm)],[23,16]),
[iquote('0:MRR:23.1,16.3')] ).
cnf(35,plain,
( ~ skP0(u)
| ~ program(v)
| halts3(u,v,w) ),
inference(mrr,[status(thm)],[29,27]),
[iquote('0:MRR:29.2,27.3')] ).
cnf(36,plain,
( ~ decides(skc4,skf8(skc4),skf9(skc4))
| skC0 ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(43,plain,
decides(skc4,skf8(u),v),
inference(res,[status(thm),theory(equality)],[5,13]),
[iquote('0:Res:5.0,13.0')] ).
cnf(44,plain,
skC0,
inference(mrr,[status(thm)],[36,43]),
[iquote('0:MRR:36.0,43.0')] ).
cnf(45,plain,
( ~ program(u)
| decides(skc5,u,v) ),
inference(mrr,[status(thm)],[14,44]),
[iquote('0:MRR:14.1,44.0')] ).
cnf(57,plain,
( ~ program(u)
| halts2(u,v) ),
inference(spt,[spt(split,[position(s1)])],[21]),
[iquote('1:Spt:21.1,21.2')] ).
cnf(59,plain,
( ~ program(u)
| ~ skC2
| ~ halts2(skc7,u) ),
inference(mrr,[status(thm)],[28,57]),
[iquote('1:MRR:28.2,57.1')] ).
cnf(61,plain,
( ~ skP0(u)
| ~ program(v)
| outputs(u,good) ),
inference(mrr,[status(thm)],[26,57]),
[iquote('1:MRR:26.2,57.1')] ).
cnf(69,plain,
( ~ program(skc7)
| ~ program(u)
| ~ skC2 ),
inference(res,[status(thm),theory(equality)],[57,59]),
[iquote('1:Res:57.1,59.2')] ).
cnf(70,plain,
( ~ program(skc7)
| ~ skC2 ),
inference(con,[status(thm)],[69]),
[iquote('1:Con:69.1')] ).
cnf(71,plain,
~ skC2,
inference(ssi,[status(thm)],[70,4]),
[iquote('1:SSi:70.0,4.0')] ).
cnf(72,plain,
( ~ program(u)
| ~ skP2(u,skf14(u))
| ~ halts2(skf15(u),skf15(u)) ),
inference(mrr,[status(thm)],[31,71]),
[iquote('1:MRR:31.3,71.0')] ).
cnf(74,plain,
( ~ skP0(u)
| outputs(u,good) ),
inference(ems,[status(thm)],[61,5]),
[iquote('1:EmS:61.1,5.0')] ).
cnf(89,plain,
( ~ program(skf10(skc5))
| ~ program(skc5)
| skP0(skc5) ),
inference(res,[status(thm),theory(equality)],[45,22]),
[iquote('0:Res:45.1,22.1')] ).
cnf(90,plain,
skP0(skc5),
inference(ssi,[status(thm)],[89,2,6]),
[iquote('0:SSi:89.1,89.0,2.0,6.0,2.0')] ).
cnf(91,plain,
( ~ skP0(u)
| ~ program(v)
| ~ outputs(u,good)
| skP1(u,v) ),
inference(res,[status(thm),theory(equality)],[35,25]),
[iquote('0:Res:35.2,25.1')] ).
cnf(93,plain,
( ~ program(skf15(u))
| ~ program(u)
| ~ skP2(u,skf14(u)) ),
inference(res,[status(thm),theory(equality)],[57,72]),
[iquote('1:Res:57.1,72.2')] ).
cnf(96,plain,
( ~ program(u)
| ~ skP2(u,skf14(u)) ),
inference(ssi,[status(thm)],[93,8]),
[iquote('1:SSi:93.0,8.0')] ).
cnf(98,plain,
( ~ program(u)
| ~ halts2(u,skf14(u))
| ~ outputs(u,good) ),
inference(res,[status(thm),theory(equality)],[20,96]),
[iquote('1:Res:20.2,96.1')] ).
cnf(99,plain,
( ~ program(u)
| ~ outputs(u,good) ),
inference(mrr,[status(thm)],[98,57]),
[iquote('1:MRR:98.1,57.1')] ).
cnf(105,plain,
( ~ skP0(u)
| ~ program(u) ),
inference(res,[status(thm),theory(equality)],[74,99]),
[iquote('1:Res:74.1,99.1')] ).
cnf(110,plain,
$false,
inference(ems,[status(thm)],[105,90,2]),
[iquote('1:EmS:105.0,105.1,90.0,2.0')] ).
cnf(111,plain,
( ~ skP0(u)
| outputs(u,bad) ),
inference(spt,[spt(split,[position(s2)])],[21]),
[iquote('1:Spt:110.0,21.0,21.3')] ).
cnf(112,plain,
( ~ skP0(u)
| ~ outputs(u,good)
| skP1(u,v) ),
inference(mrr,[status(thm)],[91,9]),
[iquote('0:MRR:91.1,9.0')] ).
cnf(113,plain,
( ~ program(u)
| halts2(u,u) ),
inference(spt,[spt(split,[position(s2s1)])],[19]),
[iquote('2:Spt:19.0,19.2')] ).
cnf(114,plain,
( ~ program(u)
| ~ skC1
| outputs(skc6,good) ),
inference(mrr,[status(thm)],[24,113]),
[iquote('2:MRR:24.2,113.1')] ).
cnf(115,plain,
( ~ program(u)
| ~ skC2
| ~ halts2(skc7,u) ),
inference(mrr,[status(thm)],[28,113]),
[iquote('2:MRR:28.2,113.1')] ).
cnf(116,plain,
( ~ skC1
| outputs(skc6,good) ),
inference(ems,[status(thm)],[114,5]),
[iquote('2:EmS:114.0,5.0')] ).
cnf(123,plain,
( ~ program(skc7)
| ~ program(skc7)
| ~ skC2 ),
inference(res,[status(thm),theory(equality)],[113,115]),
[iquote('2:Res:113.1,115.2')] ).
cnf(124,plain,
( ~ program(skc7)
| ~ skC2 ),
inference(obv,[status(thm),theory(equality)],[123]),
[iquote('2:Obv:123.0')] ).
cnf(125,plain,
~ skC2,
inference(ssi,[status(thm)],[124,4]),
[iquote('2:SSi:124.0,4.0')] ).
cnf(126,plain,
( ~ program(u)
| ~ skP2(u,skf14(u))
| ~ halts2(skf15(u),skf15(u)) ),
inference(mrr,[status(thm)],[31,125]),
[iquote('2:MRR:31.3,125.0')] ).
cnf(131,plain,
( ~ skP0(u)
| ~ program(v)
| skP1(w,v)
| outputs(u,good) ),
inference(res,[status(thm),theory(equality)],[11,26]),
[iquote('0:Res:11.1,26.2')] ).
cnf(135,plain,
( ~ skP0(u)
| skP1(v,w)
| outputs(u,good) ),
inference(mrr,[status(thm)],[131,9]),
[iquote('0:MRR:131.1,9.0')] ).
cnf(136,plain,
( ~ skP0(u)
| skP1(u,v) ),
inference(mrr,[status(thm)],[112,135]),
[iquote('0:MRR:112.1,135.2')] ).
cnf(142,plain,
( ~ program(skf15(u))
| ~ program(u)
| ~ skP2(u,skf14(u)) ),
inference(res,[status(thm),theory(equality)],[113,126]),
[iquote('2:Res:113.1,126.2')] ).
cnf(143,plain,
( ~ program(u)
| ~ skP2(u,skf14(u)) ),
inference(ssi,[status(thm)],[142,8]),
[iquote('2:SSi:142.0,8.0')] ).
cnf(144,plain,
( ~ program(u)
| program(skf14(u)) ),
inference(res,[status(thm),theory(equality)],[10,143]),
[iquote('2:Res:10.1,143.1')] ).
cnf(145,plain,
( ~ program(u)
| ~ halts2(u,skf14(u))
| ~ outputs(u,good) ),
inference(res,[status(thm),theory(equality)],[20,143]),
[iquote('2:Res:20.2,143.1')] ).
cnf(156,plain,
( ~ program(skf13(u))
| ~ program(u)
| ~ skP1(u,skf12(u))
| skC1 ),
inference(res,[status(thm),theory(equality)],[113,30]),
[iquote('2:Res:113.1,30.2')] ).
cnf(157,plain,
( ~ program(u)
| ~ skP1(u,skf12(u))
| skC1 ),
inference(ssi,[status(thm)],[156,7]),
[iquote('2:SSi:156.0,7.0')] ).
cnf(159,plain,
( ~ skP0(u)
| ~ program(u)
| skC1 ),
inference(res,[status(thm),theory(equality)],[136,157]),
[iquote('2:Res:136.1,157.1')] ).
cnf(161,plain,
skC1,
inference(ems,[status(thm)],[159,90,2]),
[iquote('2:EmS:159.0,159.1,90.0,2.0')] ).
cnf(162,plain,
outputs(skc6,good),
inference(mrr,[status(thm)],[116,161]),
[iquote('2:MRR:116.0,161.0')] ).
cnf(163,plain,
( ~ program(u)
| halts2(skc6,u) ),
inference(mrr,[status(thm)],[34,161]),
[iquote('2:MRR:34.1,161.0')] ).
cnf(164,plain,
( ~ program(skf14(skc6))
| ~ program(skc6)
| ~ outputs(skc6,good) ),
inference(res,[status(thm),theory(equality)],[163,145]),
[iquote('2:Res:163.1,145.1')] ).
cnf(165,plain,
~ outputs(skc6,good),
inference(ssi,[status(thm)],[164,3,144]),
[iquote('2:SSi:164.1,164.0,3.0,144.1,3.0')] ).
cnf(166,plain,
$false,
inference(mrr,[status(thm)],[165,162]),
[iquote('2:MRR:165.0,162.0')] ).
cnf(167,plain,
( ~ skC2
| outputs(skc7,bad) ),
inference(spt,[spt(split,[position(s2s2)])],[19]),
[iquote('2:Spt:166.0,19.1,19.3')] ).
cnf(169,plain,
( ~ program(u)
| halts2(u,u) ),
inference(spt,[spt(split,[position(s2s2s1)])],[17]),
[iquote('3:Spt:17.0,17.2')] ).
cnf(170,plain,
( ~ program(u)
| ~ skC1
| outputs(skc6,good) ),
inference(mrr,[status(thm)],[24,169]),
[iquote('3:MRR:24.2,169.1')] ).
cnf(171,plain,
( ~ program(u)
| ~ skC2
| ~ halts2(skc7,u) ),
inference(mrr,[status(thm)],[28,169]),
[iquote('3:MRR:28.2,169.1')] ).
cnf(172,plain,
( ~ skC1
| outputs(skc6,good) ),
inference(ems,[status(thm)],[170,5]),
[iquote('3:EmS:170.0,5.0')] ).
cnf(179,plain,
( ~ program(skc7)
| ~ program(skc7)
| ~ skC2 ),
inference(res,[status(thm),theory(equality)],[169,171]),
[iquote('3:Res:169.1,171.2')] ).
cnf(180,plain,
( ~ program(skc7)
| ~ skC2 ),
inference(obv,[status(thm),theory(equality)],[179]),
[iquote('3:Obv:179.0')] ).
cnf(181,plain,
~ skC2,
inference(ssi,[status(thm)],[180,4]),
[iquote('3:SSi:180.0,4.0')] ).
cnf(182,plain,
( ~ program(u)
| ~ skP2(u,skf14(u))
| ~ halts2(skf15(u),skf15(u)) ),
inference(mrr,[status(thm)],[31,181]),
[iquote('3:MRR:31.3,181.0')] ).
cnf(187,plain,
( ~ program(skf15(u))
| ~ program(u)
| ~ skP2(u,skf14(u)) ),
inference(res,[status(thm),theory(equality)],[169,182]),
[iquote('3:Res:169.1,182.2')] ).
cnf(188,plain,
( ~ program(u)
| ~ skP2(u,skf14(u)) ),
inference(ssi,[status(thm)],[187,8]),
[iquote('3:SSi:187.0,8.0')] ).
cnf(189,plain,
( ~ program(u)
| program(skf14(u)) ),
inference(res,[status(thm),theory(equality)],[10,188]),
[iquote('3:Res:10.1,188.1')] ).
cnf(190,plain,
( ~ program(u)
| ~ halts2(u,skf14(u))
| ~ outputs(u,good) ),
inference(res,[status(thm),theory(equality)],[20,188]),
[iquote('3:Res:20.2,188.1')] ).
cnf(191,plain,
( ~ program(skf14(skc6))
| ~ program(skc6)
| ~ skC1
| ~ outputs(skc6,good) ),
inference(res,[status(thm),theory(equality)],[34,190]),
[iquote('3:Res:34.2,190.1')] ).
cnf(192,plain,
( ~ skC1
| ~ outputs(skc6,good) ),
inference(ssi,[status(thm)],[191,3,189]),
[iquote('3:SSi:191.1,191.0,3.0,189.1,3.0')] ).
cnf(193,plain,
~ skC1,
inference(mrr,[status(thm)],[192,172]),
[iquote('3:MRR:192.1,172.1')] ).
cnf(196,plain,
( ~ program(u)
| ~ skP1(u,skf12(u))
| ~ halts2(skf13(u),skf13(u)) ),
inference(mrr,[status(thm)],[30,193]),
[iquote('3:MRR:30.3,193.0')] ).
cnf(200,plain,
( ~ program(skf13(u))
| ~ program(u)
| ~ skP1(u,skf12(u)) ),
inference(res,[status(thm),theory(equality)],[169,196]),
[iquote('3:Res:169.1,196.2')] ).
cnf(201,plain,
( ~ program(u)
| ~ skP1(u,skf12(u)) ),
inference(ssi,[status(thm)],[200,7]),
[iquote('3:SSi:200.0,7.0')] ).
cnf(203,plain,
( ~ skP0(u)
| ~ program(u) ),
inference(res,[status(thm),theory(equality)],[136,201]),
[iquote('3:Res:136.1,201.1')] ).
cnf(206,plain,
$false,
inference(ems,[status(thm)],[203,90,2]),
[iquote('3:EmS:203.0,203.1,90.0,2.0')] ).
cnf(207,plain,
( ~ skC1
| outputs(skc6,bad) ),
inference(spt,[spt(split,[position(s2s2s2)])],[17]),
[iquote('3:Spt:206.0,17.1,17.3')] ).
cnf(211,plain,
( ~ program(skc6)
| ~ program(skc6)
| ~ skC1
| ~ skC1
| outputs(skc6,good) ),
inference(res,[status(thm),theory(equality)],[34,24]),
[iquote('0:Res:34.2,24.2')] ).
cnf(214,plain,
( ~ program(skc6)
| ~ skC1
| outputs(skc6,good) ),
inference(obv,[status(thm),theory(equality)],[211]),
[iquote('0:Obv:211.2')] ).
cnf(215,plain,
( ~ skC1
| outputs(skc6,good) ),
inference(ssi,[status(thm)],[214,3]),
[iquote('0:SSi:214.0,3.0')] ).
cnf(239,plain,
( ~ program(u)
| ~ outputs(u,bad)
| ~ halts2(u,skf15(u))
| program(skf14(u))
| skC2 ),
inference(res,[status(thm),theory(equality)],[10,32]),
[iquote('0:Res:10.1,32.2')] ).
cnf(240,plain,
( ~ program(u)
| ~ halts2(u,skf14(u))
| ~ outputs(u,good)
| ~ outputs(u,bad)
| ~ halts2(u,skf15(u))
| skC2 ),
inference(res,[status(thm),theory(equality)],[20,32]),
[iquote('0:Res:20.2,32.2')] ).
cnf(249,plain,
( ~ skP0(u)
| ~ program(skf13(u))
| ~ program(u)
| ~ outputs(u,bad)
| ~ skP1(u,skf12(u))
| skC1 ),
inference(res,[status(thm),theory(equality)],[35,33]),
[iquote('0:Res:35.2,33.3')] ).
cnf(250,plain,
( ~ skP0(u)
| ~ program(u)
| ~ outputs(u,bad)
| ~ skP1(u,skf12(u))
| skC1 ),
inference(ssi,[status(thm)],[249,7]),
[iquote('0:SSi:249.1,7.0')] ).
cnf(251,plain,
( ~ skP0(u)
| ~ program(u)
| skC1 ),
inference(mrr,[status(thm)],[250,111,136]),
[iquote('1:MRR:250.2,250.3,111.1,136.1')] ).
cnf(252,plain,
skC1,
inference(ems,[status(thm)],[251,90,2]),
[iquote('1:EmS:251.0,251.1,90.0,2.0')] ).
cnf(253,plain,
outputs(skc6,bad),
inference(mrr,[status(thm)],[207,252]),
[iquote('3:MRR:207.0,252.0')] ).
cnf(254,plain,
( ~ program(u)
| halts2(skc6,u) ),
inference(mrr,[status(thm)],[34,252]),
[iquote('1:MRR:34.1,252.0')] ).
cnf(255,plain,
outputs(skc6,good),
inference(mrr,[status(thm)],[215,252]),
[iquote('1:MRR:215.0,252.0')] ).
cnf(259,plain,
skC2,
inference(spt,[spt(split,[position(s2s2s2s1)])],[239]),
[iquote('4:Spt:239.4')] ).
cnf(261,plain,
( ~ program(u)
| halts2(u,u)
| halts2(skc7,u) ),
inference(mrr,[status(thm)],[18,259]),
[iquote('4:MRR:18.1,259.0')] ).
cnf(262,plain,
( ~ program(u)
| ~ halts2(u,u)
| ~ halts2(skc7,u) ),
inference(mrr,[status(thm)],[28,259]),
[iquote('4:MRR:28.1,259.0')] ).
cnf(274,plain,
( ~ program(skc7)
| halts2(skc7,skc7) ),
inference(fac,[status(thm)],[261]),
[iquote('4:Fac:261.1,261.2')] ).
cnf(275,plain,
halts2(skc7,skc7),
inference(ssi,[status(thm)],[274,4]),
[iquote('4:SSi:274.0,4.0')] ).
cnf(280,plain,
( ~ program(skc7)
| ~ halts2(skc7,skc7) ),
inference(res,[status(thm),theory(equality)],[275,262]),
[iquote('4:Res:275.0,262.1')] ).
cnf(281,plain,
~ halts2(skc7,skc7),
inference(ssi,[status(thm)],[280,4]),
[iquote('4:SSi:280.0,4.0')] ).
cnf(282,plain,
$false,
inference(mrr,[status(thm)],[281,275]),
[iquote('4:MRR:281.0,275.0')] ).
cnf(284,plain,
~ skC2,
inference(spt,[spt(split,[position(s2s2s2sa)])],[282,259]),
[iquote('4:Spt:282.0,239.4,259.0')] ).
cnf(285,plain,
( ~ program(u)
| ~ outputs(u,bad)
| ~ halts2(u,skf15(u))
| program(skf14(u)) ),
inference(spt,[spt(split,[position(s2s2s2s2)])],[239]),
[iquote('4:Spt:282.0,239.0,239.1,239.2,239.3')] ).
cnf(288,plain,
( ~ program(u)
| ~ halts2(u,skf14(u))
| ~ outputs(u,good)
| ~ outputs(u,bad)
| ~ halts2(u,skf15(u)) ),
inference(mrr,[status(thm)],[240,284]),
[iquote('4:MRR:240.5,284.0')] ).
cnf(289,plain,
( ~ program(skf15(skc6))
| ~ program(skc6)
| ~ outputs(skc6,bad)
| program(skf14(skc6)) ),
inference(res,[status(thm),theory(equality)],[254,285]),
[iquote('4:Res:254.1,285.2')] ).
cnf(290,plain,
( ~ outputs(skc6,bad)
| program(skf14(skc6)) ),
inference(ssi,[status(thm)],[289,3,8]),
[iquote('4:SSi:289.1,289.0,3.0,8.0,3.0')] ).
cnf(291,plain,
program(skf14(skc6)),
inference(mrr,[status(thm)],[290,253]),
[iquote('4:MRR:290.0,253.0')] ).
cnf(302,plain,
( ~ program(skf14(skc6))
| ~ program(skc6)
| ~ outputs(skc6,good)
| ~ outputs(skc6,bad)
| ~ halts2(skc6,skf15(skc6)) ),
inference(res,[status(thm),theory(equality)],[254,288]),
[iquote('4:Res:254.1,288.1')] ).
cnf(303,plain,
( ~ outputs(skc6,good)
| ~ outputs(skc6,bad)
| ~ halts2(skc6,skf15(skc6)) ),
inference(ssi,[status(thm)],[302,3,291]),
[iquote('4:SSi:302.1,302.0,3.0,291.0')] ).
cnf(304,plain,
~ halts2(skc6,skf15(skc6)),
inference(mrr,[status(thm)],[303,255,253]),
[iquote('4:MRR:303.0,303.1,255.0,253.0')] ).
cnf(305,plain,
~ program(skf15(skc6)),
inference(res,[status(thm),theory(equality)],[254,304]),
[iquote('4:Res:254.1,304.0')] ).
cnf(306,plain,
$false,
inference(ssi,[status(thm)],[305,8,3]),
[iquote('4:SSi:305.0,8.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM003+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 19:12:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47
% 0.20/0.47 SPASS V 3.9
% 0.20/0.47 SPASS beiseite: Proof found.
% 0.20/0.47 % SZS status Theorem
% 0.20/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 SPASS derived 199 clauses, backtracked 66 clauses, performed 11 splits and kept 223 clauses.
% 0.20/0.47 SPASS allocated 97759 KBytes.
% 0.20/0.47 SPASS spent 0:00:00.11 on the problem.
% 0.20/0.47 0:00:00.03 for the input.
% 0.20/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.47 0:00:00.00 for inferences.
% 0.20/0.47 0:00:00.00 for the backtracking.
% 0.20/0.47 0:00:00.02 for the reduction.
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Here is a proof with depth 5, length 134 :
% 0.20/0.47 % SZS output start Refutation
% See solution above
% 0.20/0.47 Formulae used in the proof : prove_this p1 p3 p4 p2
% 0.20/0.47
%------------------------------------------------------------------------------