%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1.1
% Problem : LCL230-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/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 01:09:11 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.35s
% Output : Proof 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 2 nHn; 7 RR)
% Number of literals : 10 ( 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 :
%------------------------------------------------------------------------------
% FILE RECORD
cnf(clause_3,negated_conjecture,
q,
file('theBenchmark.p',clause_3) ).
% FILE RECORD
cnf(clause_1,negated_conjecture,
( ~ q
| p
| r ),
file('theBenchmark.p',clause_1) ).
% FILE RECORD
cnf(clause_2,negated_conjecture,
~ p,
file('theBenchmark.p',clause_2) ).
% CNF SPASS RESOLUTION.
cnf(c_5,plain,
( p
| r ),
inference(resolution,[status(thm)],[clause_3,clause_1]) ).
% FILE RECORD
cnf(clause_4,negated_conjecture,
~ r,
file('theBenchmark.p',clause_4) ).
% CNF SPASS RESOLUTION.
cnf(c_6,plain,
r,
inference(resolution,[status(thm)],[clause_3,clause_1,clause_2,c_5]) ).
% CNF SPASS RESOLUTION.
cnf(c_7,plain,
$false,
inference(resolution,[status(thm)],[clause_3,clause_1,clause_2,c_5,clause_4,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL230-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 04:33:35 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35
% 0.08/0.35 % Input Clauses:
% 0.08/0.35 % 1:3:0:INP:: q -> p,r
% 0.08/0.35 % 2:1:0:INP:: p ->
% 0.08/0.35 % 3:1:0:INP:: -> q
% 0.08/0.35 % 4:1:0:INP:: r ->
% 0.08/0.35
% 0.08/0.35 % Predicates: q p r
% 0.08/0.35 % Fol Constants: a
% 0.08/0.35 % Fol Functions:
% 0.08/0.35 % Problem Properties:
% 0.08/0.35 % This is a propositional problem.
% 0.08/0.35
% 0.08/0.35
% 0.08/0.35 % Reduced Input Axiom Clauses:
% 0.08/0.35
% 0.08/0.35 % Reduced Input Conjecture Clauses:
% 0.08/0.35 % 7:0:0:[3.0,1.0,2.0,5.1,4.0,6.2]:: ->
% 0.08/0.35 % 2:1:0:INP:: p ->
% 0.08/0.35 % 3:1:0:INP:: -> q
% 0.08/0.35 % 4:1:0:INP:: r ->
% 0.08/0.35
% 0.08/0.35 % SZS status Unsatisfiable
% 0.08/0.35
% 0.08/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.08/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.08/0.35
% 0.08/0.35 % Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35
% 0.08/0.35 % SPASS-SCL-FOL Statistics:
% 0.08/0.35 % Number of learned clauses: 0
% 0.08/0.35 % Number of propagations: 0
% 0.08/0.35 % Number of decisions: 0
% 0.08/0.35 % Number of resolutions: 0
% 0.08/0.35 % Number of condensations: 0
% 0.08/0.35 % Number of sub resolutions: 3
% 0.08/0.35
% 0.08/0.35 % Needed: 0:00:00.00
% 0.08/0.35
% 0.08/0.35 % ###
% 0.08/0.35 % ### Pagesize: 8192
% 0.08/0.35 % ### Marksize: 0
% 0.08/0.35 % ### Memory demanded: 68 KBytes
% 0.08/0.35 % ### Memory freed: 68 KBytes
% 0.08/0.35 % ### Memory remaining: 0 Bytes
% 0.08/0.35 % ### Pages allocated: 49 Pages
% 0.08/0.35 % ###
%------------------------------------------------------------------------------