%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL086-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 12:57:49 PM UTC 2026
% Result : Unsatisfiable 0.47s 0.71s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of clauses : 33 ( 20 unt; 0 nHn; 3 RR)
% Number of literals : 47 ( 0 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 109 ( 54 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_1,negated_conjecture,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_1) ).
cnf(ic_JLukasiewicz_4,axiom,
is_a_theorem(implies(implies(implies(X8,X5),implies(X4,X7)),implies(X6,implies(implies(X7,X8),implies(X4,X8))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X12,X11),implies(X13,X9)))
| is_a_theorem(implies(X10,implies(implies(X9,X12),implies(X13,X12)))) ),
inference(resolution,[status(thm)],[ic_JLukasiewicz_4,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(X17,implies(implies(implies(implies(X14,X18),implies(X19,X18)),implies(X18,X15)),implies(X16,implies(X18,X15))))),
inference(resolution,[status(thm)],[c0,ic_JLukasiewicz_4]) ).
cnf(c2,plain,
( ~ is_a_theorem(X20)
| is_a_theorem(implies(implies(implies(implies(X22,X24),implies(X23,X24)),implies(X24,X21)),implies(X25,implies(X24,X21)))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(implies(X26,X30),implies(X27,X30)),implies(X30,X28)),implies(X29,implies(X30,X28)))),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(c6,plain,
( ~ is_a_theorem(implies(implies(implies(X38,X36),implies(X37,X36)),implies(X36,X40)))
| is_a_theorem(implies(X39,implies(X36,X40))) ),
inference(resolution,[status(thm)],[c4,condensed_detachment]) ).
cnf(c10,plain,
is_a_theorem(implies(X45,implies(X46,implies(implies(X46,X44),implies(X47,X44))))),
inference(resolution,[status(thm)],[c6,ic_JLukasiewicz_4]) ).
cnf(c14,plain,
( ~ is_a_theorem(X82)
| is_a_theorem(implies(X81,implies(implies(X81,X83),implies(X84,X83)))) ),
inference(resolution,[status(thm)],[c10,condensed_detachment]) ).
cnf(c39,plain,
is_a_theorem(implies(X93,implies(implies(X93,X92),implies(X91,X92)))),
inference(resolution,[status(thm)],[c14,c10]) ).
cnf(c47,plain,
( ~ is_a_theorem(X120)
| is_a_theorem(implies(implies(X120,X121),implies(X119,X121))) ),
inference(resolution,[status(thm)],[c39,condensed_detachment]) ).
cnf(c55,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X561,X559),implies(X560,X559)),implies(X559,X565)),implies(X562,implies(X559,X565))),X564),implies(X563,X564))),
inference(resolution,[status(thm)],[c47,c4]) ).
cnf(c9,plain,
is_a_theorem(implies(X41,implies(implies(X42,X43),implies(X43,implies(X42,X43))))),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(c11,plain,
( ~ is_a_theorem(X55)
| is_a_theorem(implies(implies(X57,X56),implies(X56,implies(X57,X56)))) ),
inference(resolution,[status(thm)],[c9,condensed_detachment]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(X58,X59),implies(X59,implies(X58,X59)))),
inference(resolution,[status(thm)],[c11,c10]) ).
cnf(c27,plain,
is_a_theorem(implies(X131,implies(implies(implies(X132,X133),X132),implies(X133,X132)))),
inference(resolution,[status(thm)],[c20,c0]) ).
cnf(c69,plain,
( ~ is_a_theorem(X134)
| is_a_theorem(implies(implies(implies(X136,X135),X136),implies(X135,X136))) ),
inference(resolution,[status(thm)],[c27,condensed_detachment]) ).
cnf(c74,plain,
is_a_theorem(implies(implies(implies(X138,X137),X138),implies(X137,X138))),
inference(resolution,[status(thm)],[c69,c10]) ).
cnf(c89,plain,
is_a_theorem(implies(X140,implies(X141,implies(X139,X141)))),
inference(resolution,[status(thm)],[c74,c6]) ).
cnf(c91,plain,
( ~ is_a_theorem(X142)
| is_a_theorem(implies(X144,implies(X143,X144))) ),
inference(resolution,[status(thm)],[c89,condensed_detachment]) ).
cnf(c96,plain,
is_a_theorem(implies(X152,implies(X153,X152))),
inference(resolution,[status(thm)],[c91,c89]) ).
cnf(c121,plain,
is_a_theorem(implies(X278,implies(implies(implies(X280,X279),X280),implies(X281,X280)))),
inference(resolution,[status(thm)],[c96,c0]) ).
cnf(c92,plain,
is_a_theorem(implies(X269,implies(implies(implies(X270,X272),X271),implies(X272,X271)))),
inference(resolution,[status(thm)],[c89,c0]) ).
cnf(c186,plain,
( ~ is_a_theorem(X322)
| is_a_theorem(implies(implies(implies(X323,X321),X320),implies(X321,X320))) ),
inference(resolution,[status(thm)],[c92,condensed_detachment]) ).
cnf(c226,plain,
is_a_theorem(implies(implies(implies(X324,X325),X326),implies(X325,X326))),
inference(resolution,[status(thm)],[c186,c121]) ).
cnf(c194,plain,
( ~ is_a_theorem(X478)
| is_a_theorem(implies(implies(implies(X480,X479),X480),implies(X481,X480))) ),
inference(resolution,[status(thm)],[c121,condensed_detachment]) ).
cnf(c349,plain,
is_a_theorem(implies(implies(implies(X488,X489),X488),implies(X487,X488))),
inference(resolution,[status(thm)],[c194,c121]) ).
cnf(c382,plain,
( ~ is_a_theorem(implies(implies(X597,X595),X597))
| is_a_theorem(implies(X596,X597)) ),
inference(resolution,[status(thm)],[c349,condensed_detachment]) ).
cnf(c435,plain,
is_a_theorem(implies(X598,implies(X599,X599))),
inference(resolution,[status(thm)],[c382,c226]) ).
cnf(c445,plain,
( ~ is_a_theorem(X607)
| is_a_theorem(implies(X608,X608)) ),
inference(resolution,[status(thm)],[c435,condensed_detachment]) ).
cnf(c467,plain,
is_a_theorem(implies(X609,X609)),
inference(resolution,[status(thm)],[c445,c55]) ).
cnf(c501,plain,
$false,
inference(resolution,[status(thm)],[c467,prove_ic_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL086-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.07/0.34 % Computer : n008.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 5 07:06:08 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.40 (re.compile("\."), Token.FullStop),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.40 (re.compile("\("), Token.OpenPar),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.40 (re.compile("\)"), Token.ClosePar),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.40 (re.compile("\["), Token.OpenSquare),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.40 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.40 (re.compile("~\|"), Token.Nor),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.40 (re.compile("\|"), Token.Or),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.40 (re.compile("\?"), Token.Existential),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.40 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.40 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.47 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.47 """
% 0.23/0.47 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.47 """
% 0.33/0.56 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.56 """
% 0.47/0.71 % Version: 1.5
% 0.47/0.71 % SZS status Unsatisfiable
% 0.47/0.71 % SZS output start CNFRefutation
% See solution above
% 0.47/0.71
% 0.47/0.71 % Initial clauses : 3
% 0.47/0.71 % Processed clauses : 58
% 0.47/0.71 % Factors computed : 0
% 0.47/0.71 % Resolvents computed: 506
% 0.47/0.71 % Tautologies deleted: 0
% 0.47/0.71 % Forward subsumed : 125
% 0.47/0.71 % Backward subsumed : 16
% 0.47/0.71 % -------- CPU Time ---------
% 0.47/0.71 % User time : 0.344 s
% 0.47/0.71 % System time : 0.029 s
% 0.47/0.71 % Total time : 0.373 s
%------------------------------------------------------------------------------