TSTP Solution File: SWC241+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC241+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : Tue Jul 19 22:02:44 EDT 2022
% Result : Theorem 29.14s 29.34s
% Output : Refutation 29.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 10 unt; 1 nHn; 19 RR)
% Number of literals : 47 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(skc11),
file('SWC241+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc10),
file('SWC241+1.p',unknown),
[] ).
cnf(3,axiom,
ssItem(skc9),
file('SWC241+1.p',unknown),
[] ).
cnf(54,axiom,
~ equal(skc7,nil),
file('SWC241+1.p',unknown),
[] ).
cnf(62,axiom,
ssItem(skf44(u,v,w)),
file('SWC241+1.p',unknown),
[] ).
cnf(104,axiom,
( equal(app(app(skc10,cons(skc9,nil)),skc11),skc7)
| equal(skc7,nil) ),
file('SWC241+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ ssItem(u)
| ~ ssItem(v)
| ~ lt(v,u)
| leq(v,u) ),
file('SWC241+1.p',unknown),
[] ).
cnf(187,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ equal(app(app(v,cons(w,nil)),u),skc7)
| lt(w,skf44(w,u,v)) ),
file('SWC241+1.p',unknown),
[] ).
cnf(190,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ leq(w,skf44(w,u,v))
| ~ equal(app(app(v,cons(w,nil)),u),skc7) ),
file('SWC241+1.p',unknown),
[] ).
cnf(200,plain,
equal(app(app(skc10,cons(skc9,nil)),skc11),skc7),
inference(mrr,[status(thm)],[104,54]),
[iquote('0:MRR:104.1,54.0')] ).
cnf(28565,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ leq(skc9,skf44(skc9,skc11,skc10))
| ~ equal(skc7,skc7) ),
inference(spl,[status(thm),theory(equality)],[200,190]),
[iquote('0:SpL:200.0,190.4')] ).
cnf(28566,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ equal(skc7,skc7)
| lt(skc9,skf44(skc9,skc11,skc10)) ),
inference(spl,[status(thm),theory(equality)],[200,187]),
[iquote('0:SpL:200.0,187.3')] ).
cnf(28576,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| lt(skc9,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[28566]),
[iquote('0:Obv:28566.3')] ).
cnf(28577,plain,
lt(skc9,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[28576,3,2,1]),
[iquote('0:SSi:28576.2,28576.1,28576.0,3.0,2.0,1.0')] ).
cnf(28582,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ leq(skc9,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[28565]),
[iquote('0:Obv:28565.4')] ).
cnf(28583,plain,
~ leq(skc9,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[28582,3,2,1]),
[iquote('0:SSi:28582.2,28582.1,28582.0,3.0,2.0,1.0')] ).
cnf(30109,plain,
( ~ ssItem(skf44(skc9,skc11,skc10))
| ~ ssItem(skc9)
| ~ lt(skc9,skf44(skc9,skc11,skc10)) ),
inference(res,[status(thm),theory(equality)],[118,28583]),
[iquote('0:Res:118.3,28583.0')] ).
cnf(30110,plain,
~ lt(skc9,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[30109,3,62,1,2]),
[iquote('0:SSi:30109.1,30109.0,3.0,62.0,3.0,1.0,2.0')] ).
cnf(30111,plain,
$false,
inference(mrr,[status(thm)],[30110,28577]),
[iquote('0:MRR:30110.0,28577.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC241+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 00:47:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 29.14/29.34
% 29.14/29.34 SPASS V 3.9
% 29.14/29.34 SPASS beiseite: Proof found.
% 29.14/29.34 % SZS status Theorem
% 29.14/29.34 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.14/29.34 SPASS derived 18521 clauses, backtracked 2041 clauses, performed 26 splits and kept 7187 clauses.
% 29.14/29.34 SPASS allocated 125397 KBytes.
% 29.14/29.34 SPASS spent 0:0:24.63 on the problem.
% 29.14/29.34 0:00:00.04 for the input.
% 29.14/29.34 0:00:00.07 for the FLOTTER CNF translation.
% 29.14/29.34 0:00:00.31 for inferences.
% 29.14/29.34 0:00:00.71 for the backtracking.
% 29.14/29.34 0:0:23.20 for the reduction.
% 29.14/29.34
% 29.14/29.34
% 29.14/29.34 Here is a proof with depth 2, length 19 :
% 29.14/29.34 % SZS output start Refutation
% See solution above
% 29.14/29.34 Formulae used in the proof : co1 ax2 ax17 ax93
% 29.14/29.34
%------------------------------------------------------------------------------