TSTP Solution File: SWC402+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC402+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 22:03:50 EDT 2022
% Result : Theorem 22.34s 22.60s
% Output : Refutation 22.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 20 RR)
% Number of literals : 49 ( 0 equ; 32 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssItem(skc11),
file('SWC402+1.p',unknown),
[] ).
cnf(2,axiom,
ssList(skc10),
file('SWC402+1.p',unknown),
[] ).
cnf(3,axiom,
ssList(skc9),
file('SWC402+1.p',unknown),
[] ).
cnf(5,axiom,
ssList(skc7),
file('SWC402+1.p',unknown),
[] ).
cnf(6,axiom,
totalorderedP(skc7),
file('SWC402+1.p',unknown),
[] ).
cnf(17,axiom,
memberP(skc7,skc11),
file('SWC402+1.p',unknown),
[] ).
cnf(56,axiom,
~ memberP(skc8,skc11),
file('SWC402+1.p',unknown),
[] ).
cnf(72,axiom,
equal(app(app(skc9,skc7),skc10),skc8),
file('SWC402+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ssList(app(v,u)) ),
file('SWC402+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ memberP(v,w)
| memberP(app(v,u),w) ),
file('SWC402+1.p',unknown),
[] ).
cnf(148,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssItem(w)
| ~ memberP(u,w)
| memberP(app(v,u),w) ),
file('SWC402+1.p',unknown),
[] ).
cnf(333,plain,
( ~ ssList(u)
| ssList(app(u,skc7)) ),
inference(res,[status(thm),theory(equality)],[5,93]),
[iquote('0:Res:5.0,93.1')] ).
cnf(3614,plain,
( ~ ssList(skc10)
| ~ ssList(app(skc9,skc7))
| ~ ssItem(u)
| ~ memberP(app(skc9,skc7),u)
| memberP(skc8,u) ),
inference(spr,[status(thm),theory(equality)],[72,147]),
[iquote('0:SpR:72.0,147.4')] ).
cnf(3621,plain,
( ~ ssItem(u)
| ~ memberP(app(skc9,skc7),u)
| memberP(skc8,u) ),
inference(ssi,[status(thm)],[3614,333,3,2]),
[iquote('0:SSi:3614.1,3614.0,333.0,3.0,2.1')] ).
cnf(11966,plain,
( ~ ssList(skc7)
| ~ ssList(skc9)
| ~ ssItem(u)
| ~ ssItem(u)
| ~ memberP(skc7,u)
| memberP(skc8,u) ),
inference(res,[status(thm),theory(equality)],[148,3621]),
[iquote('0:Res:148.4,3621.1')] ).
cnf(11968,plain,
( ~ ssList(skc7)
| ~ ssList(skc9)
| ~ ssItem(u)
| ~ memberP(skc7,u)
| memberP(skc8,u) ),
inference(obv,[status(thm),theory(equality)],[11966]),
[iquote('0:Obv:11966.2')] ).
cnf(24443,plain,
( ~ ssItem(u)
| ~ memberP(skc7,u)
| memberP(skc8,u) ),
inference(ssi,[status(thm)],[11968,3,5,6]),
[iquote('0:SSi:11968.1,11968.0,3.0,5.0,6.0')] ).
cnf(28167,plain,
( ~ ssItem(skc11)
| ~ memberP(skc7,skc11) ),
inference(res,[status(thm),theory(equality)],[24443,56]),
[iquote('0:Res:24443.2,56.0')] ).
cnf(28168,plain,
~ memberP(skc7,skc11),
inference(ssi,[status(thm)],[28167,1]),
[iquote('0:SSi:28167.0,1.0')] ).
cnf(28169,plain,
$false,
inference(mrr,[status(thm)],[28168,17]),
[iquote('0:MRR:28168.0,17.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC402+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.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 : Sat Jun 11 20:31:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 22.34/22.60
% 22.34/22.60 SPASS V 3.9
% 22.34/22.60 SPASS beiseite: Proof found.
% 22.34/22.60 % SZS status Theorem
% 22.34/22.60 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.34/22.60 SPASS derived 19630 clauses, backtracked 4728 clauses, performed 68 splits and kept 10413 clauses.
% 22.34/22.60 SPASS allocated 120518 KBytes.
% 22.34/22.60 SPASS spent 0:0:19.38 on the problem.
% 22.34/22.60 0:00:00.04 for the input.
% 22.34/22.60 0:00:00.07 for the FLOTTER CNF translation.
% 22.34/22.60 0:00:00.24 for inferences.
% 22.34/22.60 0:00:00.39 for the backtracking.
% 22.34/22.60 0:0:18.35 for the reduction.
% 22.34/22.60
% 22.34/22.60
% 22.34/22.60 Here is a proof with depth 3, length 20 :
% 22.34/22.60 % SZS output start Refutation
% See solution above
% 22.34/22.60 Formulae used in the proof : co1 ax26 ax36
% 22.34/22.60
%------------------------------------------------------------------------------