TSTP Solution File: LCL658+1.001 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL658+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 : Sun Jul 17 14:38:33 EDT 2022
% Result : Theorem 14.60s 14.80s
% Output : Refutation 14.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 29
% Syntax : Number of clauses : 81 ( 26 unt; 40 nHn; 81 RR)
% Number of literals : 291 ( 0 equ; 154 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
r1(skc10,skc11),
file('LCL658+1.001.p',unknown),
[] ).
cnf(2,axiom,
r1(skc3,skc10),
file('LCL658+1.001.p',unknown),
[] ).
cnf(3,axiom,
~ p1(skc11),
file('LCL658+1.001.p',unknown),
[] ).
cnf(4,axiom,
~ skP0(skc10),
file('LCL658+1.001.p',unknown),
[] ).
cnf(6,axiom,
r1(u,skf26(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(7,axiom,
r1(u,skf24(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(8,axiom,
r1(u,skf23(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(10,axiom,
r1(u,skf20(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(11,axiom,
r1(u,skf19(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(12,axiom,
r1(u,skf18(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(13,axiom,
r1(u,skf17(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(15,axiom,
r1(u,skf14(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(16,axiom,
r1(skf26(u),skf27(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(17,axiom,
r1(skf24(u),skf25(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(18,axiom,
r1(skf20(u),skf21(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(19,axiom,
r1(skf14(u),skf15(u)),
file('LCL658+1.001.p',unknown),
[] ).
cnf(20,axiom,
( ~ r1(skc10,u)
| p1(u)
| p1(skf20(u)) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(21,axiom,
( ~ r1(skf23(u),v)
| skP0(u)
| p1(v) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(22,axiom,
( ~ p1(skf19(u))
| ~ r1(skc3,u)
| skP2(u) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(23,axiom,
( ~ p1(skf21(u))
| ~ r1(skc10,u)
| p1(u) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(26,axiom,
( ~ skP1(u)
| ~ p1(skf25(v))
| ~ r1(u,v) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(27,axiom,
( ~ p1(skf17(u))
| ~ r1(skc3,u)
| skP0(u)
| p1(u) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(28,axiom,
( ~ skP2(u)
| ~ r1(v,w)
| ~ r1(u,v)
| p1(w)
| p1(skf26(w)) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(29,axiom,
( ~ skP2(u)
| ~ p1(skf27(v))
| ~ r1(w,v)
| ~ r1(u,w)
| p1(v) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(31,axiom,
( ~ p1(u)
| ~ p1(skf15(u))
| ~ r1(u,v)
| ~ r1(skc3,u)
| skP1(u)
| p1(v) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(32,axiom,
( ~ p1(u)
| ~ r1(u,v)
| ~ r1(skc3,w)
| ~ r1(skf19(w),u)
| skP2(w)
| p1(v) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(33,axiom,
( ~ p1(skf18(u))
| ~ r1(v,w)
| ~ r1(u,v)
| ~ r1(x,u)
| ~ r1(skc3,x)
| p1(w) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(34,axiom,
( ~ p1(u)
| ~ r1(u,v)
| ~ r1(skc3,w)
| ~ r1(skf17(w),u)
| skP0(w)
| p1(w)
| p1(v) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(35,axiom,
( ~ p1(u)
| ~ p1(v)
| ~ r1(w,v)
| ~ r1(u,x)
| ~ r1(v,y)
| ~ r1(skc3,u)
| ~ r1(skf14(u),w)
| skP1(u)
| p1(x)
| p1(y)
| p1(w) ),
file('LCL658+1.001.p',unknown),
[] ).
cnf(71,plain,
( skP0(u)
| p1(skf18(skf23(u))) ),
inference(res,[status(thm),theory(equality)],[12,21]),
[iquote('0:Res:12.0,21.0')] ).
cnf(98,plain,
( ~ skP2(u)
| ~ r1(u,skc3)
| p1(skc10)
| p1(skf26(skc10)) ),
inference(res,[status(thm),theory(equality)],[2,28]),
[iquote('0:Res:2.0,28.1')] ).
cnf(111,plain,
( ~ skP2(u)
| ~ r1(u,skf14(v))
| p1(skf15(v))
| p1(skf26(skf15(v))) ),
inference(res,[status(thm),theory(equality)],[19,28]),
[iquote('0:Res:19.0,28.1')] ).
cnf(141,plain,
p1(skc10),
inference(spt,[spt(split,[position(s1)])],[98]),
[iquote('1:Spt:98.2')] ).
cnf(166,plain,
( ~ p1(skf20(skf19(u)))
| ~ r1(skf20(skf19(u)),v)
| ~ r1(skc3,u)
| skP2(u)
| p1(v) ),
inference(res,[status(thm),theory(equality)],[10,32]),
[iquote('0:Res:10.0,32.3')] ).
cnf(177,plain,
( ~ p1(skf20(skf17(u)))
| ~ r1(skf20(skf17(u)),v)
| ~ r1(skc3,u)
| skP0(u)
| p1(u)
| p1(v) ),
inference(res,[status(thm),theory(equality)],[10,34]),
[iquote('0:Res:10.0,34.3')] ).
cnf(182,plain,
( ~ r1(u,v)
| ~ r1(skf23(w),u)
| ~ r1(x,skf23(w))
| ~ r1(skc3,x)
| skP0(w)
| p1(v) ),
inference(res,[status(thm),theory(equality)],[71,33]),
[iquote('0:Res:71.1,33.0')] ).
cnf(194,plain,
( ~ p1(u)
| ~ p1(v)
| ~ r1(skf15(u),v)
| ~ r1(u,w)
| ~ r1(v,x)
| ~ r1(skc3,u)
| skP1(u)
| p1(w)
| p1(x)
| p1(skf15(u)) ),
inference(res,[status(thm),theory(equality)],[19,35]),
[iquote('0:Res:19.0,35.6')] ).
cnf(195,plain,
( ~ p1(u)
| ~ p1(v)
| ~ r1(skf15(u),v)
| ~ r1(u,w)
| ~ r1(v,x)
| ~ r1(skc3,u)
| skP1(u)
| p1(w)
| p1(x) ),
inference(mrr,[status(thm)],[194,31]),
[iquote('0:MRR:194.9,31.1')] ).
cnf(380,plain,
( ~ skP2(u)
| p1(skf15(u))
| p1(skf26(skf15(u))) ),
inference(res,[status(thm),theory(equality)],[15,111]),
[iquote('0:Res:15.0,111.1')] ).
cnf(389,plain,
( ~ r1(skf20(skf19(u)),v)
| ~ r1(skc3,u)
| ~ r1(skc10,skf19(u))
| skP2(u)
| p1(v)
| p1(skf19(u)) ),
inference(sor,[status(thm)],[166,20]),
[iquote('0:SoR:166.0,20.2')] ).
cnf(390,plain,
( ~ r1(skf20(skf19(u)),v)
| ~ r1(skc3,u)
| ~ r1(skc10,skf19(u))
| skP2(u)
| p1(v) ),
inference(mrr,[status(thm)],[389,22]),
[iquote('0:MRR:389.5,22.0')] ).
cnf(459,plain,
( ~ r1(skf20(skf17(u)),v)
| ~ r1(skc3,u)
| ~ r1(skc10,skf17(u))
| skP0(u)
| p1(u)
| p1(v)
| p1(skf17(u)) ),
inference(sor,[status(thm)],[177,20]),
[iquote('0:SoR:177.0,20.2')] ).
cnf(460,plain,
( ~ r1(skf20(skf17(u)),v)
| ~ r1(skc3,u)
| ~ r1(skc10,skf17(u))
| skP0(u)
| p1(u)
| p1(v) ),
inference(mrr,[status(thm)],[459,27]),
[iquote('0:MRR:459.6,27.0')] ).
cnf(472,plain,
( ~ p1(u)
| ~ p1(skf26(skf15(u)))
| ~ r1(u,v)
| ~ r1(skf26(skf15(u)),w)
| ~ r1(skc3,u)
| skP1(u)
| p1(v)
| p1(w) ),
inference(res,[status(thm),theory(equality)],[6,195]),
[iquote('0:Res:6.0,195.2')] ).
cnf(632,plain,
( ~ r1(skc3,u)
| ~ r1(skc10,skf19(u))
| skP2(u)
| p1(skf21(skf19(u))) ),
inference(res,[status(thm),theory(equality)],[18,390]),
[iquote('0:Res:18.0,390.0')] ).
cnf(635,plain,
( ~ r1(skc3,u)
| ~ r1(skc10,skf19(u))
| ~ r1(skc10,skf19(u))
| skP2(u)
| p1(skf19(u)) ),
inference(res,[status(thm),theory(equality)],[632,23]),
[iquote('0:Res:632.3,23.0')] ).
cnf(636,plain,
( ~ r1(skc3,u)
| ~ r1(skc10,skf19(u))
| skP2(u)
| p1(skf19(u)) ),
inference(obv,[status(thm),theory(equality)],[635]),
[iquote('0:Obv:635.1')] ).
cnf(637,plain,
( ~ r1(skc3,u)
| ~ r1(skc10,skf19(u))
| skP2(u) ),
inference(mrr,[status(thm)],[636,22]),
[iquote('0:MRR:636.3,22.0')] ).
cnf(638,plain,
( ~ r1(skc3,skc10)
| skP2(skc10) ),
inference(res,[status(thm),theory(equality)],[11,637]),
[iquote('0:Res:11.0,637.1')] ).
cnf(639,plain,
skP2(skc10),
inference(mrr,[status(thm)],[638,2]),
[iquote('0:MRR:638.0,2.0')] ).
cnf(733,plain,
( ~ r1(skc3,u)
| ~ r1(skc10,skf17(u))
| skP0(u)
| p1(u)
| p1(skf21(skf17(u))) ),
inference(res,[status(thm),theory(equality)],[18,460]),
[iquote('0:Res:18.0,460.0')] ).
cnf(800,plain,
( ~ r1(skf24(skf23(u)),v)
| ~ r1(w,skf23(u))
| ~ r1(skc3,w)
| skP0(u)
| p1(v) ),
inference(res,[status(thm),theory(equality)],[7,182]),
[iquote('0:Res:7.0,182.1')] ).
cnf(809,plain,
( ~ r1(skc3,u)
| ~ r1(skc10,skf17(u))
| ~ r1(skc10,skf17(u))
| skP0(u)
| p1(u)
| p1(skf17(u)) ),
inference(res,[status(thm),theory(equality)],[733,23]),
[iquote('0:Res:733.4,23.0')] ).
cnf(810,plain,
( ~ r1(skc3,u)
| ~ r1(skc10,skf17(u))
| skP0(u)
| p1(u)
| p1(skf17(u)) ),
inference(obv,[status(thm),theory(equality)],[809]),
[iquote('0:Obv:809.1')] ).
cnf(811,plain,
( ~ r1(skc3,u)
| ~ r1(skc10,skf17(u))
| skP0(u)
| p1(u) ),
inference(mrr,[status(thm)],[810,27]),
[iquote('0:MRR:810.4,27.0')] ).
cnf(951,plain,
( ~ p1(u)
| ~ skP2(u)
| ~ r1(u,v)
| ~ r1(skf26(skf15(u)),w)
| ~ r1(skc3,u)
| skP1(u)
| p1(v)
| p1(w)
| p1(skf15(u)) ),
inference(sor,[status(thm)],[472,380]),
[iquote('0:SoR:472.1,380.2')] ).
cnf(955,plain,
( ~ p1(u)
| ~ skP2(u)
| ~ r1(u,v)
| ~ r1(skf26(skf15(u)),w)
| ~ r1(skc3,u)
| skP1(u)
| p1(v)
| p1(w) ),
inference(mrr,[status(thm)],[951,31]),
[iquote('0:MRR:951.8,31.1')] ).
cnf(2284,plain,
( ~ r1(u,skf23(v))
| ~ r1(skc3,u)
| skP0(v)
| p1(skf25(skf23(v))) ),
inference(res,[status(thm),theory(equality)],[17,800]),
[iquote('0:Res:17.0,800.0')] ).
cnf(2288,plain,
( ~ r1(skc3,u)
| skP0(u)
| p1(skf25(skf23(u))) ),
inference(res,[status(thm),theory(equality)],[8,2284]),
[iquote('0:Res:8.0,2284.0')] ).
cnf(2289,plain,
( ~ skP1(u)
| ~ r1(skc3,v)
| ~ r1(u,skf23(v))
| skP0(v) ),
inference(res,[status(thm),theory(equality)],[2288,26]),
[iquote('0:Res:2288.2,26.1')] ).
cnf(2304,plain,
( ~ skP1(u)
| ~ r1(skc3,u)
| skP0(u) ),
inference(res,[status(thm),theory(equality)],[8,2289]),
[iquote('0:Res:8.0,2289.2')] ).
cnf(2305,plain,
( ~ skP1(skc10)
| skP0(skc10) ),
inference(res,[status(thm),theory(equality)],[2,2304]),
[iquote('0:Res:2.0,2304.1')] ).
cnf(2317,plain,
~ skP1(skc10),
inference(mrr,[status(thm)],[2305,4]),
[iquote('0:MRR:2305.1,4.0')] ).
cnf(7012,plain,
( ~ p1(u)
| ~ skP2(u)
| ~ r1(u,v)
| ~ r1(skc3,u)
| skP1(u)
| p1(v)
| p1(skf27(skf15(u))) ),
inference(res,[status(thm),theory(equality)],[16,955]),
[iquote('0:Res:16.0,955.3')] ).
cnf(8465,plain,
( ~ r1(skc3,skc10)
| skP0(skc10)
| p1(skc10) ),
inference(res,[status(thm),theory(equality)],[13,811]),
[iquote('0:Res:13.0,811.1')] ).
cnf(12806,plain,
( ~ p1(skc10)
| ~ skP2(skc10)
| ~ r1(skc3,skc10)
| skP1(skc10)
| p1(skc11)
| p1(skf27(skf15(skc10))) ),
inference(res,[status(thm),theory(equality)],[1,7012]),
[iquote('0:Res:1.0,7012.2')] ).
cnf(12822,plain,
( ~ r1(skc3,skc10)
| skP1(skc10)
| p1(skc11)
| p1(skf27(skf15(skc10))) ),
inference(ssi,[status(thm)],[12806,141,639]),
[iquote('1:SSi:12806.1,12806.0,141.0,639.0,141.0,639.0')] ).
cnf(12823,plain,
p1(skf27(skf15(skc10))),
inference(mrr,[status(thm)],[12822,2,2317,3]),
[iquote('1:MRR:12822.0,12822.1,12822.2,2.0,2317.0,3.0')] ).
cnf(12826,plain,
( ~ skP2(u)
| ~ r1(v,skf15(skc10))
| ~ r1(u,v)
| p1(skf15(skc10)) ),
inference(res,[status(thm),theory(equality)],[12823,29]),
[iquote('1:Res:12823.0,29.1')] ).
cnf(12828,plain,
( ~ skP2(u)
| ~ r1(u,skf14(skc10))
| p1(skf15(skc10)) ),
inference(res,[status(thm),theory(equality)],[19,12826]),
[iquote('1:Res:19.0,12826.1')] ).
cnf(12859,plain,
( ~ skP2(skc10)
| p1(skf15(skc10)) ),
inference(res,[status(thm),theory(equality)],[15,12828]),
[iquote('1:Res:15.0,12828.1')] ).
cnf(12860,plain,
p1(skf15(skc10)),
inference(ssi,[status(thm)],[12859,141,639]),
[iquote('1:SSi:12859.0,141.0,639.0')] ).
cnf(12863,plain,
( ~ p1(skc10)
| ~ r1(skc10,u)
| ~ r1(skc3,skc10)
| skP1(skc10)
| p1(u) ),
inference(res,[status(thm),theory(equality)],[12860,31]),
[iquote('1:Res:12860.0,31.1')] ).
cnf(12864,plain,
( ~ r1(skc10,u)
| ~ r1(skc3,skc10)
| skP1(skc10)
| p1(u) ),
inference(ssi,[status(thm)],[12863,141,639]),
[iquote('1:SSi:12863.0,141.0,639.0')] ).
cnf(12865,plain,
( ~ r1(skc10,u)
| p1(u) ),
inference(mrr,[status(thm)],[12864,2,2317]),
[iquote('1:MRR:12864.1,12864.2,2.0,2317.0')] ).
cnf(12866,plain,
p1(skc11),
inference(res,[status(thm),theory(equality)],[1,12865]),
[iquote('1:Res:1.0,12865.0')] ).
cnf(12878,plain,
$false,
inference(mrr,[status(thm)],[12866,3]),
[iquote('1:MRR:12866.0,3.0')] ).
cnf(12879,plain,
~ p1(skc10),
inference(spt,[spt(split,[position(sa)])],[12878,141]),
[iquote('1:Spt:12878.0,98.2,141.0')] ).
cnf(12880,plain,
( ~ skP2(u)
| ~ r1(u,skc3)
| p1(skf26(skc10)) ),
inference(spt,[spt(split,[position(s2)])],[98]),
[iquote('1:Spt:12878.0,98.0,98.1,98.3')] ).
cnf(12891,plain,
p1(skc10),
inference(mrr,[status(thm)],[8465,2,4]),
[iquote('0:MRR:8465.0,8465.1,2.0,4.0')] ).
cnf(12892,plain,
$false,
inference(mrr,[status(thm)],[12891,12879]),
[iquote('1:MRR:12891.0,12879.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL658+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Sat Jul 2 16:02:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 14.60/14.80
% 14.60/14.80 SPASS V 3.9
% 14.60/14.80 SPASS beiseite: Proof found.
% 14.60/14.80 % SZS status Theorem
% 14.60/14.80 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.60/14.80 SPASS derived 11987 clauses, backtracked 2395 clauses, performed 41 splits and kept 8511 clauses.
% 14.60/14.80 SPASS allocated 110733 KBytes.
% 14.60/14.80 SPASS spent 0:0:13.78 on the problem.
% 14.60/14.80 0:00:00.04 for the input.
% 14.60/14.80 0:00:00.04 for the FLOTTER CNF translation.
% 14.60/14.80 0:00:00.68 for inferences.
% 14.60/14.80 0:00:00.30 for the backtracking.
% 14.60/14.80 0:0:12.44 for the reduction.
% 14.60/14.80
% 14.60/14.80
% 14.60/14.80 Here is a proof with depth 10, length 81 :
% 14.60/14.80 % SZS output start Refutation
% See solution above
% 14.60/14.80 Formulae used in the proof : main reflexivity
% 14.60/14.80
%------------------------------------------------------------------------------