%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:07:07 PM UTC 2026
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 1 nHn; 5 RR)
% Number of literals : 7 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
q,
file('LCL230+1.p',unknown),
[] ).
cnf(2,axiom,
~ p,
file('LCL230+1.p',unknown),
[] ).
cnf(3,axiom,
~ r,
file('LCL230+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ q
| p
| r ),
file('LCL230+1.p',unknown),
[] ).
cnf(5,plain,
$false,
inference(mrr,[status(thm)],[4,1,2,3]),
[iquote('0:MRR:4.0,4.1,4.2,1.0,2.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 12:58:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.22/0.52
% 0.22/0.52 SPASS V 3.9
% 0.22/0.52 SPASS beiseite: Proof found.
% 0.22/0.52 % SZS status Theorem
% 0.22/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.52 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 4 clauses.
% 0.22/0.52 SPASS allocated 85049 KBytes.
% 0.22/0.52 SPASS spent 0:00:00.13 on the problem.
% 0.22/0.52 0:00:00.06 for the input.
% 0.22/0.52 0:00:00.04 for the FLOTTER CNF translation.
% 0.22/0.52 0:00:00.00 for inferences.
% 0.22/0.52 0:00:00.00 for the backtracking.
% 0.22/0.52 0:00:00.00 for the reduction.
% 0.22/0.52
% 0.22/0.52
% 0.22/0.52 Here is a proof with depth 0, length 5 :
% 0.22/0.52 % SZS output start Refutation
% See solution above
% 0.22/0.52 Formulae used in the proof : pel5
% 0.22/0.52
%------------------------------------------------------------------------------