%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL029-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 12:57:43 PM UTC 2026
% Result : Unsatisfiable 11.43s 11.72s
% Output : CNFRefutation 11.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 17 unt; 0 nHn; 5 RR)
% Number of literals : 30 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 55 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c0_5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_5) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0_3,axiom,
is_a_theorem(implies(implies(implies(X17,X18),X17),X17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_3) ).
cnf(c0_1,axiom,
is_a_theorem(implies(implies(X10,X12),implies(implies(X12,X11),implies(X10,X11)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_1) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X36,X37))
| is_a_theorem(implies(implies(X37,X35),implies(X36,X35))) ),
inference(resolution,[status(thm)],[c0_1,condensed_detachment]) ).
cnf(c18,plain,
is_a_theorem(implies(implies(implies(implies(X83,X80),implies(X81,X80)),X82),implies(implies(X81,X83),X82))),
inference(resolution,[status(thm)],[c4,c0_1]) ).
cnf(c57,plain,
( ~ is_a_theorem(implies(implies(implies(X465,X468),implies(X467,X468)),X466))
| is_a_theorem(implies(implies(X467,X465),X466)) ),
inference(resolution,[status(thm)],[c18,condensed_detachment]) ).
cnf(c378,plain,
is_a_theorem(implies(implies(X491,implies(X491,X490)),implies(X491,X490))),
inference(resolution,[status(thm)],[c57,c0_3]) ).
cnf(c417,plain,
( ~ is_a_theorem(implies(X500,implies(X500,X501)))
| is_a_theorem(implies(X500,X501)) ),
inference(resolution,[status(thm)],[c378,condensed_detachment]) ).
cnf(c0_2,axiom,
is_a_theorem(implies(X3,implies(X4,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_2) ).
cnf(c0,plain,
( ~ is_a_theorem(X9)
| is_a_theorem(implies(X8,X9)) ),
inference(resolution,[status(thm)],[condensed_detachment,c0_2]) ).
cnf(c9,plain,
is_a_theorem(implies(X45,implies(implies(implies(X43,X44),X43),X43))),
inference(resolution,[status(thm)],[c0_3,c0]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(implies(implies(implies(X177,X176),X177),X177),X178),implies(X179,X178))),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(c140,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X1210,X1212),X1210),X1210),X1213))
| is_a_theorem(implies(X1211,X1213)) ),
inference(resolution,[status(thm)],[c25,condensed_detachment]) ).
cnf(c0_4,axiom,
is_a_theorem(implies(falsehood,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_4) ).
cnf(c3,plain,
is_a_theorem(implies(X14,implies(falsehood,X13))),
inference(resolution,[status(thm)],[c0,c0_4]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(falsehood,X146),X144),implies(X145,X144))),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(c450,plain,
is_a_theorem(implies(implies(implies(falsehood,X689),X690),X690)),
inference(resolution,[status(thm)],[c417,c22]) ).
cnf(c753,plain,
is_a_theorem(implies(implies(X771,falsehood),implies(X771,X772))),
inference(resolution,[status(thm)],[c450,c57]) ).
cnf(c799,plain,
is_a_theorem(implies(implies(implies(X9654,X9652),X9653),implies(implies(X9654,falsehood),X9653))),
inference(resolution,[status(thm)],[c753,c4]) ).
cnf(c11415,plain,
is_a_theorem(implies(X9767,implies(implies(implies(X9769,X9768),falsehood),X9769))),
inference(resolution,[status(thm)],[c799,c140]) ).
cnf(c11549,plain,
is_a_theorem(implies(implies(implies(X9770,X9771),falsehood),X9770)),
inference(resolution,[status(thm)],[c11415,c417]) ).
cnf(c11604,plain,
$false,
inference(resolution,[status(thm)],[c11549,prove_c0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL029-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 4 12:33:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.11/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.11/0.42 (re.compile("\."), Token.FullStop),
% 0.11/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.11/0.42 (re.compile("\("), Token.OpenPar),
% 0.11/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.11/0.42 (re.compile("\)"), Token.ClosePar),
% 0.11/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.11/0.42 (re.compile("\["), Token.OpenSquare),
% 0.11/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.11/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.11/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.42 (re.compile("~\|"), Token.Nor),
% 0.11/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.42 (re.compile("\|"), Token.Or),
% 0.11/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.11/0.43 (re.compile("\?"), Token.Existential),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.11/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.11/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.50 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.22/0.50 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.29/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.29/0.59 """
% 11.43/11.72 % Version: 1.5
% 11.43/11.72 % SZS status Unsatisfiable
% 11.43/11.72 % SZS output start CNFRefutation
% See solution above
% 11.43/11.72
% 11.43/11.72 % Initial clauses : 6
% 11.43/11.72 % Processed clauses : 361
% 11.43/11.72 % Factors computed : 0
% 11.43/11.72 % Resolvents computed: 11615
% 11.43/11.72 % Tautologies deleted: 1
% 11.43/11.72 % Forward subsumed : 2542
% 11.43/11.72 % Backward subsumed : 1
% 11.43/11.72 % -------- CPU Time ---------
% 11.43/11.72 % User time : 11.296 s
% 11.43/11.72 % System time : 0.059 s
% 11.43/11.72 % Total time : 11.355 s
%------------------------------------------------------------------------------