TSTP Solution File: SWC242+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC242+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 22:02:45 EDT 2022
% Result : Theorem 30.48s 30.75s
% Output : Refutation 30.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 28 ( 11 unt; 2 nHn; 28 RR)
% Number of literals : 87 ( 0 equ; 64 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 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('SWC242+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc10),
file('SWC242+1.p',unknown),
[] ).
cnf(3,axiom,
ssItem(skc9),
file('SWC242+1.p',unknown),
[] ).
cnf(54,axiom,
~ equal(skc7,nil),
file('SWC242+1.p',unknown),
[] ).
cnf(62,axiom,
ssItem(skf44(u,v,w)),
file('SWC242+1.p',unknown),
[] ).
cnf(104,axiom,
( equal(app(app(skc10,cons(skc9,nil)),skc11),skc7)
| equal(skc7,nil) ),
file('SWC242+1.p',unknown),
[] ).
cnf(179,axiom,
( ~ ssItem(u)
| ~ memberP(skc10,u)
| ~ memberP(skc11,u)
| ~ lt(skc9,u)
| leq(skc9,u)
| equal(skc7,nil) ),
file('SWC242+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('SWC242+1.p',unknown),
[] ).
cnf(188,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ equal(app(app(v,cons(w,nil)),u),skc7)
| memberP(u,skf44(w,u,v)) ),
file('SWC242+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ equal(app(app(v,cons(w,nil)),u),skc7)
| memberP(v,skf44(w,u,v)) ),
file('SWC242+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('SWC242+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(204,plain,
( ~ ssItem(u)
| ~ lt(skc9,u)
| ~ memberP(skc11,u)
| ~ memberP(skc10,u)
| leq(skc9,u) ),
inference(mrr,[status(thm)],[179,54]),
[iquote('0:MRR:179.5,54.0')] ).
cnf(28562,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(28563,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(28564,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ equal(skc7,skc7)
| memberP(skc11,skf44(skc9,skc11,skc10)) ),
inference(spl,[status(thm),theory(equality)],[200,188]),
[iquote('0:SpL:200.0,188.3')] ).
cnf(28565,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ equal(skc7,skc7)
| memberP(skc10,skf44(skc9,skc11,skc10)) ),
inference(spl,[status(thm),theory(equality)],[200,189]),
[iquote('0:SpL:200.0,189.3')] ).
cnf(28573,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| lt(skc9,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[28563]),
[iquote('0:Obv:28563.3')] ).
cnf(28574,plain,
lt(skc9,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[28573,3,2,1]),
[iquote('0:SSi:28573.2,28573.1,28573.0,3.0,2.0,1.0')] ).
cnf(28575,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| memberP(skc11,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[28564]),
[iquote('0:Obv:28564.3')] ).
cnf(28576,plain,
memberP(skc11,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[28575,3,2,1]),
[iquote('0:SSi:28575.2,28575.1,28575.0,3.0,2.0,1.0')] ).
cnf(28577,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| memberP(skc10,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[28565]),
[iquote('0:Obv:28565.3')] ).
cnf(28578,plain,
memberP(skc10,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[28577,3,2,1]),
[iquote('0:SSi:28577.2,28577.1,28577.0,3.0,2.0,1.0')] ).
cnf(28579,plain,
( ~ ssList(skc11)
| ~ ssList(skc10)
| ~ ssItem(skc9)
| ~ leq(skc9,skf44(skc9,skc11,skc10)) ),
inference(obv,[status(thm),theory(equality)],[28562]),
[iquote('0:Obv:28562.4')] ).
cnf(28580,plain,
~ leq(skc9,skf44(skc9,skc11,skc10)),
inference(ssi,[status(thm)],[28579,3,2,1]),
[iquote('0:SSi:28579.2,28579.1,28579.0,3.0,2.0,1.0')] ).
cnf(30112,plain,
( ~ ssItem(skf44(skc9,skc11,skc10))
| ~ lt(skc9,skf44(skc9,skc11,skc10))
| ~ memberP(skc11,skf44(skc9,skc11,skc10))
| ~ memberP(skc10,skf44(skc9,skc11,skc10)) ),
inference(res,[status(thm),theory(equality)],[204,28580]),
[iquote('0:Res:204.4,28580.0')] ).
cnf(30115,plain,
( ~ lt(skc9,skf44(skc9,skc11,skc10))
| ~ memberP(skc11,skf44(skc9,skc11,skc10))
| ~ memberP(skc10,skf44(skc9,skc11,skc10)) ),
inference(ssi,[status(thm)],[30112,62,3,1,2]),
[iquote('0:SSi:30112.0,62.0,3.0,1.0,2.0')] ).
cnf(30116,plain,
$false,
inference(mrr,[status(thm)],[30115,28574,28576,28578]),
[iquote('0:MRR:30115.0,30115.1,30115.2,28574.0,28576.0,28578.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC242+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 12 04:29:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 30.48/30.75
% 30.48/30.75 SPASS V 3.9
% 30.48/30.75 SPASS beiseite: Proof found.
% 30.48/30.75 % SZS status Theorem
% 30.48/30.75 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.48/30.75 SPASS derived 18524 clauses, backtracked 2040 clauses, performed 26 splits and kept 7186 clauses.
% 30.48/30.75 SPASS allocated 125398 KBytes.
% 30.48/30.75 SPASS spent 0:0:25.83 on the problem.
% 30.48/30.75 0:00:00.04 for the input.
% 30.48/30.75 0:00:00.07 for the FLOTTER CNF translation.
% 30.48/30.75 0:00:00.33 for inferences.
% 30.48/30.75 0:00:00.74 for the backtracking.
% 30.48/30.75 0:0:24.33 for the reduction.
% 30.48/30.75
% 30.48/30.75
% 30.48/30.75 Here is a proof with depth 2, length 28 :
% 30.48/30.75 % SZS output start Refutation
% See solution above
% 30.48/30.75 Formulae used in the proof : co1 ax2 ax17
% 30.48/30.75
%------------------------------------------------------------------------------