%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n002.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 01:06:57 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 1 nHn; 4 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( p
| q ),
file('LCL181-2.p',unknown),
[] ).
cnf(3,axiom,
~ q,
file('LCL181-2.p',unknown),
[] ).
cnf(4,axiom,
~ p,
file('LCL181-2.p',unknown),
[] ).
cnf(5,plain,
$false,
inference(mrr,[status(thm)],[1,4,3]),
[iquote('0:MRR:1.0,1.1,4.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 10:33:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.42
% 0.13/0.42 SPASS V 3.9
% 0.13/0.42 SPASS beiseite: Proof found.
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.42 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 3 clauses.
% 0.13/0.42 SPASS allocated 63072 KBytes.
% 0.13/0.42 SPASS spent 0:00:00.05 on the problem.
% 0.13/0.42 0:00:00.03 for the input.
% 0.13/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.42 0:00:00.00 for inferences.
% 0.13/0.42 0:00:00.00 for the backtracking.
% 0.13/0.42 0:00:00.00 for the reduction.
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 Here is a proof with depth 0, length 4 :
% 0.13/0.42 % SZS output start Refutation
% See solution above
% 0.13/0.42 Formulae used in the proof : clause_1 clause_3 clause_4
% 0.13/0.42
%------------------------------------------------------------------------------