%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:57:50 PM UTC 2026
% Result : Unsatisfiable 2.16s 2.44s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of clauses : 37 ( 23 unt; 0 nHn; 3 RR)
% Number of literals : 52 ( 0 equ; 16 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 : 127 ( 66 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_3) ).
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(ic_JLukasiewicz_4,axiom,
is_a_theorem(implies(implies(implies(X6,X4),implies(X7,X8)),implies(X5,implies(implies(X8,X6),implies(X7,X6))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X10,X9),implies(X11,X13)))
| is_a_theorem(implies(X12,implies(implies(X13,X10),implies(X11,X10)))) ),
inference(resolution,[status(thm)],[ic_JLukasiewicz_4,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(X17,implies(implies(implies(implies(X19,X15),implies(X16,X15)),implies(X15,X14)),implies(X18,implies(X15,X14))))),
inference(resolution,[status(thm)],[c0,ic_JLukasiewicz_4]) ).
cnf(c2,plain,
( ~ is_a_theorem(X23)
| is_a_theorem(implies(implies(implies(implies(X20,X25),implies(X22,X25)),implies(X25,X24)),implies(X21,implies(X25,X24)))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(implies(X28,X30),implies(X29,X30)),implies(X30,X27)),implies(X26,implies(X30,X27)))),
inference(resolution,[status(thm)],[c2,ic_JLukasiewicz_4]) ).
cnf(c6,plain,
( ~ is_a_theorem(implies(implies(implies(X39,X37),implies(X40,X37)),implies(X37,X36)))
| is_a_theorem(implies(X38,implies(X37,X36))) ),
inference(resolution,[status(thm)],[c4,condensed_detachment]) ).
cnf(c9,plain,
is_a_theorem(implies(X46,implies(implies(X45,X47),implies(X47,implies(X45,X47))))),
inference(resolution,[status(thm)],[c6,c4]) ).
cnf(c15,plain,
( ~ is_a_theorem(X99)
| is_a_theorem(implies(implies(X100,X101),implies(X101,implies(X100,X101)))) ),
inference(resolution,[status(thm)],[c9,condensed_detachment]) ).
cnf(c39,plain,
is_a_theorem(implies(implies(X103,X102),implies(X102,implies(X103,X102)))),
inference(resolution,[status(thm)],[c15,c9]) ).
cnf(c49,plain,
is_a_theorem(implies(X131,implies(implies(implies(X130,X129),X130),implies(X129,X130)))),
inference(resolution,[status(thm)],[c39,c0]) ).
cnf(c72,plain,
( ~ is_a_theorem(X135)
| is_a_theorem(implies(implies(implies(X136,X137),X136),implies(X137,X136))) ),
inference(resolution,[status(thm)],[c49,condensed_detachment]) ).
cnf(c74,plain,
is_a_theorem(implies(implies(implies(X138,X139),X138),implies(X139,X138))),
inference(resolution,[status(thm)],[c72,c9]) ).
cnf(c88,plain,
is_a_theorem(implies(X140,implies(X141,implies(X142,X141)))),
inference(resolution,[status(thm)],[c74,c6]) ).
cnf(c94,plain,
( ~ is_a_theorem(X153)
| is_a_theorem(implies(X155,implies(X154,X155))) ),
inference(resolution,[status(thm)],[c88,condensed_detachment]) ).
cnf(c96,plain,
is_a_theorem(implies(X156,implies(X157,X156))),
inference(resolution,[status(thm)],[c94,c88]) ).
cnf(c110,plain,
( ~ is_a_theorem(X195)
| is_a_theorem(implies(X196,X195)) ),
inference(resolution,[status(thm)],[c96,condensed_detachment]) ).
cnf(c130,plain,
is_a_theorem(implies(X252,implies(X254,implies(X255,implies(X253,X255))))),
inference(resolution,[status(thm)],[c110,c88]) ).
cnf(c8,plain,
is_a_theorem(implies(X42,implies(X44,implies(implies(X44,X43),implies(X41,X43))))),
inference(resolution,[status(thm)],[c6,ic_JLukasiewicz_4]) ).
cnf(c13,plain,
is_a_theorem(implies(X114,implies(implies(implies(implies(X111,X110),implies(X113,X110)),X112),implies(X111,X112)))),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(c95,plain,
is_a_theorem(implies(X271,implies(implies(implies(X270,X268),X269),implies(X268,X269)))),
inference(resolution,[status(thm)],[c88,c0]) ).
cnf(c200,plain,
( ~ is_a_theorem(X335)
| is_a_theorem(implies(implies(implies(X336,X334),X337),implies(X334,X337))) ),
inference(resolution,[status(thm)],[c95,condensed_detachment]) ).
cnf(c258,plain,
is_a_theorem(implies(implies(implies(X338,X340),X339),implies(X340,X339))),
inference(resolution,[status(thm)],[c200,c13]) ).
cnf(c111,plain,
is_a_theorem(implies(X290,implies(implies(implies(X289,X288),X289),implies(X287,X289)))),
inference(resolution,[status(thm)],[c96,c0]) ).
cnf(c232,plain,
( ~ is_a_theorem(X599)
| is_a_theorem(implies(implies(implies(X600,X601),X600),implies(X598,X600))) ),
inference(resolution,[status(thm)],[c111,condensed_detachment]) ).
cnf(c527,plain,
is_a_theorem(implies(implies(implies(X608,X609),X608),implies(X607,X608))),
inference(resolution,[status(thm)],[c232,c258]) ).
cnf(c568,plain,
( ~ is_a_theorem(implies(implies(X735,X734),X735))
| is_a_theorem(implies(X736,X735)) ),
inference(resolution,[status(thm)],[c527,condensed_detachment]) ).
cnf(c12,plain,
( ~ is_a_theorem(X59)
| is_a_theorem(implies(X60,implies(implies(X60,X61),implies(X62,X61)))) ),
inference(resolution,[status(thm)],[c8,condensed_detachment]) ).
cnf(c20,plain,
is_a_theorem(implies(X64,implies(implies(X64,X63),implies(X65,X63)))),
inference(resolution,[status(thm)],[c12,c9]) ).
cnf(c27,plain,
is_a_theorem(implies(X200,implies(implies(implies(X198,X201),X199),implies(implies(implies(X199,X197),X201),X199)))),
inference(resolution,[status(thm)],[c20,c0]) ).
cnf(c148,plain,
( ~ is_a_theorem(X1781)
| is_a_theorem(implies(implies(implies(X1779,X1780),X1782),implies(implies(implies(X1782,X1778),X1780),X1782))) ),
inference(resolution,[status(thm)],[c27,condensed_detachment]) ).
cnf(c1545,plain,
is_a_theorem(implies(implies(implies(X4120,X4123),X4122),implies(implies(implies(X4122,X4121),X4123),X4122))),
inference(resolution,[status(thm)],[c148,c258]) ).
cnf(c3102,plain,
is_a_theorem(implies(X4142,implies(implies(implies(X4141,X4140),X4141),X4141))),
inference(resolution,[status(thm)],[c1545,c568]) ).
cnf(c3241,plain,
( ~ is_a_theorem(X4224)
| is_a_theorem(implies(implies(implies(X4225,X4226),X4225),X4225)) ),
inference(resolution,[status(thm)],[c3102,condensed_detachment]) ).
cnf(c3290,plain,
is_a_theorem(implies(implies(implies(X4227,X4228),X4227),X4227)),
inference(resolution,[status(thm)],[c3241,c130]) ).
cnf(c3401,plain,
$false,
inference(resolution,[status(thm)],[c3290,prove_ic_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL088-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.37 % Computer : n029.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 22:34:09 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.15/0.43 (re.compile("\."), Token.FullStop),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.15/0.43 (re.compile("\("), Token.OpenPar),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.15/0.43 (re.compile("\)"), Token.ClosePar),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.15/0.43 (re.compile("\["), Token.OpenSquare),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.15/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.43 (re.compile("~\|"), Token.Nor),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.15/0.43 (re.compile("\|"), Token.Or),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.15/0.43 (re.compile("\?"), Token.Existential),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.15/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.15/0.43 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.15/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.23/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.32/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 2.16/2.44 % Version: 1.5
% 2.16/2.44 % SZS status Unsatisfiable
% 2.16/2.44 % SZS output start CNFRefutation
% See solution above
% 2.16/2.44
% 2.16/2.44 % Initial clauses : 3
% 2.16/2.44 % Processed clauses : 166
% 2.16/2.44 % Factors computed : 0
% 2.16/2.44 % Resolvents computed: 3418
% 2.16/2.44 % Tautologies deleted: 1
% 2.16/2.44 % Forward subsumed : 880
% 2.16/2.44 % Backward subsumed : 31
% 2.16/2.44 % -------- CPU Time ---------
% 2.16/2.44 % User time : 2.027 s
% 2.16/2.44 % System time : 0.039 s
% 2.16/2.44 % Total time : 2.066 s
%------------------------------------------------------------------------------