%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 12:57:59 PM UTC 2026
% Result : Theorem 0.31s 0.59s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 59 ( 26 ~; 17 |; 7 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 :
%------------------------------------------------------------------------------
fof(pel4,conjecture,
( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel4) ).
fof(c0,negated_conjecture,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
inference(assume_negation,[status(cth)],[pel4]) ).
fof(c1,negated_conjecture,
~ ( ( ~ p
=> q )
<=> ( ~ q
=> p ) ),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
( ( ( ~ p
& ~ q )
| ( ~ q
& ~ p ) )
& ( p
| q
| q
| p ) ),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
( ( ~ p
| ~ q )
& ( ~ p
| ~ p )
& ( ~ q
| ~ q )
& ( ~ q
| ~ p )
& ( p
| q
| q
| p ) ),
inference(distribute,[status(thm)],[c2]) ).
cnf(c6,negated_conjecture,
( ~ q
| ~ q ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c10,plain,
~ q,
inference(factor,[status(thm)],[c6]) ).
cnf(c5,negated_conjecture,
( ~ p
| ~ p ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c9,plain,
~ p,
inference(factor,[status(thm)],[c5]) ).
cnf(c8,negated_conjecture,
( p
| q
| q
| p ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c11,plain,
( p
| q ),
inference(factor,[status(thm)],[c8]) ).
cnf(c17,plain,
q,
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(c19,plain,
$false,
inference(resolution,[status(thm)],[c17,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL181+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n029.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 23:24:40 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.42 (re.compile("\."), Token.FullStop),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.42 (re.compile("\("), Token.OpenPar),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.42 (re.compile("\)"), Token.ClosePar),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.42 (re.compile("\["), Token.OpenSquare),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.42 (re.compile("~\|"), Token.Nor),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.42 (re.compile("\|"), Token.Or),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.42 (re.compile("\?"), Token.Existential),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.21/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.31/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.58 """
% 0.31/0.59 % Version: 1.5
% 0.31/0.59 % SZS status Theorem
% 0.31/0.59 % SZS output start CNFRefutation
% See solution above
% 0.31/0.59
% 0.31/0.59 % Initial clauses : 5
% 0.31/0.59 % Processed clauses : 8
% 0.31/0.59 % Factors computed : 4
% 0.31/0.59 % Resolvents computed: 7
% 0.31/0.59 % Tautologies deleted: 0
% 0.31/0.59 % Forward subsumed : 1
% 0.31/0.59 % Backward subsumed : 5
% 0.31/0.59 % -------- CPU Time ---------
% 0.31/0.59 % User time : 0.209 s
% 0.31/0.59 % System time : 0.024 s
% 0.31/0.59 % Total time : 0.234 s
%------------------------------------------------------------------------------