TSTP Solution File: SWW399-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW399-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 : Thu Jul 21 01:28:25 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(x1__dfg,nil),
file('SWW399-1.p',unknown),
[] ).
cnf(2,axiom,
heap(sep(next(x1__dfg,nil),emp)),
file('SWW399-1.p',unknown),
[] ).
cnf(3,axiom,
~ heap(sep(lseg(x1__dfg,nil),emp)),
file('SWW399-1.p',unknown),
[] ).
cnf(5,axiom,
equal(sep(lseg(u,u),v),v),
file('SWW399-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ heap(sep(next(u,v),sep(lseg(v,w),x)))
| heap(sep(lseg(u,w),x))
| equal(u,v) ),
file('SWW399-1.p',unknown),
[] ).
cnf(16,plain,
( ~ heap(sep(next(x1__dfg,u),sep(lseg(u,nil),emp)))
| equal(x1__dfg,u) ),
inference(res,[status(thm),theory(equality)],[11,3]),
[iquote('0:Res:11.2,3.0')] ).
cnf(104,plain,
( ~ heap(sep(next(x1__dfg,nil),emp))
| equal(x1__dfg,nil) ),
inference(spl,[status(thm),theory(equality)],[5,16]),
[iquote('0:SpL:5.0,16.0')] ).
cnf(105,plain,
$false,
inference(mrr,[status(thm)],[104,2,1]),
[iquote('0:MRR:104.0,104.1,2.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW399-1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n017.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 : Sat Jun 4 15:30:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.41
% 0.20/0.41 SPASS V 3.9
% 0.20/0.41 SPASS beiseite: Proof found.
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 SPASS derived 88 clauses, backtracked 0 clauses, performed 0 splits and kept 33 clauses.
% 0.20/0.41 SPASS allocated 63248 KBytes.
% 0.20/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.20/0.41 0:00:00.04 for the input.
% 0.20/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.41 0:00:00.00 for inferences.
% 0.20/0.41 0:00:00.00 for the backtracking.
% 0.20/0.41 0:00:00.00 for the reduction.
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 Here is a proof with depth 2, length 8 :
% 0.20/0.41 % SZS output start Refutation
% See solution above
% 0.20/0.41 Formulae used in the proof : premise_1 premise_2 conclusion_1 normalization unfolding_2
% 0.20/0.41
%------------------------------------------------------------------------------