%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1.1
% Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 01:09:04 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.36s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 1 nHn; 5 RR)
% Number of literals : 6 ( 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 :
%------------------------------------------------------------------------------
% FILE RECORD
cnf(clause_4,negated_conjecture,
~ p,
file('theBenchmark.p',clause_4) ).
% FILE RECORD
cnf(clause_1,negated_conjecture,
( p
| q ),
file('theBenchmark.p',clause_1) ).
% FILE RECORD
cnf(clause_3,negated_conjecture,
~ q,
file('theBenchmark.p',clause_3) ).
% CNF SPASS RESOLUTION.
cnf(c_5,plain,
q,
inference(resolution,[status(thm)],[clause_4,clause_1]) ).
% CNF SPASS RESOLUTION.
cnf(c_6,plain,
$false,
inference(resolution,[status(thm)],[clause_4,clause_1,clause_3,c_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL181-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 10:34:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running /export/starexec/sandbox/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36
% 0.09/0.36 % Input Clauses:
% 0.09/0.36 % 1:2:0:INP:: -> p,q
% 0.09/0.36 % 2:2:0:INP:: q,p ->
% 0.09/0.36 % 3:1:0:INP:: q ->
% 0.09/0.36 % 4:1:0:INP:: p ->
% 0.09/0.36
% 0.09/0.36 % Predicates: p q
% 0.09/0.36 % Fol Constants: a
% 0.09/0.36 % Fol Functions:
% 0.09/0.36 % Problem Properties:
% 0.09/0.36 % This is a propositional problem.
% 0.09/0.36
% 0.09/0.36
% 0.09/0.36 % Reduced Input Axiom Clauses:
% 0.09/0.36
% 0.09/0.36 % Reduced Input Conjecture Clauses:
% 0.09/0.36 % 6:0:0:[4.0,1.0,3.0,5.1]:: ->
% 0.09/0.36 % 4:1:0:INP:: p ->
% 0.09/0.36 % 3:1:0:INP:: q ->
% 0.09/0.36
% 0.09/0.36 % SZS status Unsatisfiable
% 0.09/0.36
% 0.09/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.36
% 0.09/0.36 % Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36
% 0.09/0.36 % SPASS-SCL-FOL Statistics:
% 0.09/0.36 % Number of learned clauses: 0
% 0.09/0.36 % Number of propagations: 0
% 0.09/0.36 % Number of decisions: 0
% 0.09/0.36 % Number of resolutions: 0
% 0.09/0.36 % Number of condensations: 0
% 0.09/0.36 % Number of sub resolutions: 2
% 0.09/0.36
% 0.09/0.36 % Needed: 0:00:00.00
% 0.09/0.36
% 0.09/0.36 % ###
% 0.09/0.36 % ### Pagesize: 8192
% 0.09/0.36 % ### Marksize: 0
% 0.09/0.36 % ### Memory demanded: 67 KBytes
% 0.09/0.36 % ### Memory freed: 67 KBytes
% 0.09/0.36 % ### Memory remaining: 0 Bytes
% 0.09/0.36 % ### Pages allocated: 48 Pages
% 0.09/0.36 % ###
%------------------------------------------------------------------------------