TSTP Solution File: SWC328-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC328-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 22:03:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 15 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
ssList(sk2),
file('SWC328-1.p',unknown),
[] ).
cnf(5,axiom,
equal(nil,sk3),
file('SWC328-1.p',unknown),
[] ).
cnf(7,axiom,
equal(sk3,sk1),
file('SWC328-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ segmentP(sk2,sk1)
| ~ equalelemsP(sk1) ),
file('SWC328-1.p',unknown),
[] ).
cnf(9,axiom,
equalelemsP(nil),
file('SWC328-1.p',unknown),
[] ).
cnf(64,axiom,
( ~ ssList(u)
| segmentP(u,nil) ),
file('SWC328-1.p',unknown),
[] ).
cnf(196,plain,
equal(nil,sk1),
inference(rew,[status(thm),theory(equality)],[7,5]),
[iquote('0:Rew:7.0,5.0')] ).
cnf(204,plain,
equalelemsP(sk1),
inference(rew,[status(thm),theory(equality)],[196,9]),
[iquote('0:Rew:196.0,9.0')] ).
cnf(208,plain,
( ~ ssList(u)
| segmentP(u,sk1) ),
inference(rew,[status(thm),theory(equality)],[196,64]),
[iquote('0:Rew:196.0,64.1')] ).
cnf(217,plain,
~ segmentP(sk2,sk1),
inference(mrr,[status(thm)],[8,204]),
[iquote('0:MRR:8.1,204.0')] ).
cnf(336,plain,
segmentP(sk2,sk1),
inference(res,[status(thm),theory(equality)],[2,208]),
[iquote('0:Res:2.0,208.0')] ).
cnf(596,plain,
$false,
inference(mrr,[status(thm)],[336,217]),
[iquote('0:MRR:336.0,217.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC328-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.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 : Sun Jun 12 17:08:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 353 clauses, backtracked 0 clauses, performed 0 splits and kept 199 clauses.
% 0.19/0.49 SPASS allocated 76385 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.00 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.03 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 1, length 12 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : co1_2 co1_5 co1_7 co1_8 clause1 clause56
% 0.19/0.49
%------------------------------------------------------------------------------