%------------------------------------------------------------------------------
% File : SPASS-SCL---0.1.1
% Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 2 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 37 ( 16 ~; 9 |; 3 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% FILE RECORD
fof(pel4,conjecture,
( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
file('theBenchmark.p',pel4) ).
% NEGATING CONJECTURE
fof(pel4_nc,negated_conjecture,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
inference(negating_conjecture,[status(cth)],[pel4]) ).
% FOF SIMPLE INFERENCE
fof(pel4_nc_elimTB,negated_conjecture,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
inference(elimTB,[status(thm)],[inference(variable_rename,[status(thm)],[pel4_nc])]) ).
% FOF SIMPLE INFERENCE
fof(pel4_nc_elimImpEquivPushNegMiniScope,negated_conjecture,
( ( ( ~ p
& ~ q )
| ( ~ q
& ~ p ) )
& ( p
| q
| q
| p ) ),
inference(elimImpEquivPushNegMiniScope,[status(thm)],[pel4_nc_elimTB]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_3,plain,
( ~ q
| ~ q ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[pel4_nc_elimImpEquivPushNegMiniScope])]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_5,plain,
( p
| q
| q
| p ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[pel4_nc_elimImpEquivPushNegMiniScope])]) ).
% FOF PUSH DISJ SPLITTING.
cnf(c_2,plain,
( ~ p
| ~ p ),
inference(split_conjunct,[status(thm)],[inference(push_disj,[status(thm)],[pel4_nc_elimImpEquivPushNegMiniScope])]) ).
% CNF SPASS RESOLUTION.
cnf(c_6,plain,
p,
inference(resolution,[status(thm)],[c_3,c_5]) ).
% CNF SPASS RESOLUTION.
cnf(c_7,plain,
$false,
inference(resolution,[status(thm)],[c_3,c_5,c_2,c_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.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 : Fri Sep 4 23:27:28 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/SPASS-SCL-FOL -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % Input Clauses:
% 0.13/0.36 % 1:2:0:INP:: p,q ->
% 0.13/0.36 % 2:2:0:INP:: p,p ->
% 0.13/0.36 % 3:2:0:INP:: q,q ->
% 0.13/0.36 % 4:2:0:INP:: q,p ->
% 0.13/0.36 % 5:4:0:INP:: -> p,q,q,p
% 0.13/0.36
% 0.13/0.36 % Predicates: p q
% 0.13/0.36 % Fol Constants: a
% 0.13/0.36 % Fol Functions:
% 0.13/0.36 % Problem Properties:
% 0.13/0.36 % This is a propositional problem.
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % Reduced Input Axiom Clauses:
% 0.13/0.36
% 0.13/0.36 % Reduced Input Conjecture Clauses:
% 0.13/0.36 % 7:0:0:[3.0,5.0,2.0,6.1]:: ->
% 0.13/0.36 % 2:1:0:INP:: p ->
% 0.13/0.36 % 3:1:0:INP:: q ->
% 0.13/0.36 % 4:2:0:INP:: q,p ->
% 0.13/0.36
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36
% 0.13/0.36 % Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SPASS-SCL-FOL Statistics:
% 0.13/0.36 % Number of learned clauses: 0
% 0.13/0.36 % Number of propagations: 0
% 0.13/0.36 % Number of decisions: 0
% 0.13/0.36 % Number of resolutions: 0
% 0.13/0.36 % Number of condensations: 0
% 0.13/0.36 % Number of sub resolutions: 2
% 0.13/0.36
% 0.13/0.36 % Needed: 0:00:00.00
% 0.13/0.36
% 0.13/0.36 % ###
% 0.13/0.36 % ### Pagesize: 8192
% 0.13/0.36 % ### Marksize: 0
% 0.13/0.36 % ### Memory demanded: 69 KBytes
% 0.13/0.36 % ### Memory freed: 69 KBytes
% 0.13/0.36 % ### Memory remaining: 0 Bytes
% 0.13/0.36 % ### Pages allocated: 49 Pages
% 0.13/0.36 % ###
%------------------------------------------------------------------------------