%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n001.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 4.06s 4.34s
% Output : CNFRefutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of clauses : 48 ( 30 unt; 0 nHn; 3 RR)
% Number of literals : 67 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 228 ( 146 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_2,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ic_JLukasiewicz_5,axiom,
is_a_theorem(implies(implies(implies(X8,X7),implies(X6,X5)),implies(implies(X5,X8),implies(X4,implies(X6,X8))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X11,X9),implies(X12,X10)))
| is_a_theorem(implies(implies(X10,X11),implies(X13,implies(X12,X11)))) ),
inference(resolution,[status(thm)],[ic_JLukasiewicz_5,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(X19,implies(X18,X17)),implies(X17,X14)),implies(X16,implies(implies(X15,X17),implies(X17,X14))))),
inference(resolution,[status(thm)],[c0,ic_JLukasiewicz_5]) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(implies(X27,implies(X29,X28)),implies(X28,X31)))
| is_a_theorem(implies(X32,implies(implies(X30,X28),implies(X28,X31)))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(implies(X34,implies(implies(X35,X37),implies(X37,implies(implies(X36,X33),implies(X33,X37)))))),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(c10,plain,
( ~ is_a_theorem(X41)
| is_a_theorem(implies(implies(X39,X40),implies(X40,implies(implies(X42,X38),implies(X38,X40))))) ),
inference(resolution,[status(thm)],[c6,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(implies(implies(X43,X45),implies(X45,implies(implies(X44,X46),implies(X46,X45))))),
inference(resolution,[status(thm)],[c10,c6]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X75,X71),implies(X71,X73)),X72),implies(X74,implies(X73,X72)))),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(c27,plain,
is_a_theorem(implies(X76,implies(implies(X77,X80),implies(X80,implies(X79,implies(X78,X80)))))),
inference(resolution,[status(thm)],[c16,c3]) ).
cnf(c30,plain,
( ~ is_a_theorem(X91)
| is_a_theorem(implies(implies(X90,X89),implies(X89,implies(X92,implies(X88,X89))))) ),
inference(resolution,[status(thm)],[c27,condensed_detachment]) ).
cnf(c35,plain,
is_a_theorem(implies(implies(X95,X96),implies(X96,implies(X93,implies(X94,X96))))),
inference(resolution,[status(thm)],[c30,c27]) ).
cnf(c42,plain,
( ~ is_a_theorem(implies(X129,X127))
| is_a_theorem(implies(X127,implies(X130,implies(X128,X127)))) ),
inference(resolution,[status(thm)],[c35,condensed_detachment]) ).
cnf(c46,plain,
is_a_theorem(implies(implies(X361,implies(X364,X363)),implies(X362,implies(X360,implies(X361,implies(X364,X363)))))),
inference(resolution,[status(thm)],[c42,c16]) ).
cnf(c44,plain,
is_a_theorem(implies(implies(implies(X135,implies(X133,X132)),X131),implies(X134,implies(X132,X131)))),
inference(resolution,[status(thm)],[c35,c0]) ).
cnf(c52,plain,
( ~ is_a_theorem(implies(implies(X146,implies(X142,X145)),X143))
| is_a_theorem(implies(X144,implies(X145,X143))) ),
inference(resolution,[status(thm)],[c44,condensed_detachment]) ).
cnf(c211,plain,
is_a_theorem(implies(X367,implies(X368,implies(X369,implies(X365,implies(X370,implies(X366,X368))))))),
inference(resolution,[status(thm)],[c46,c52]) ).
cnf(c216,plain,
( ~ is_a_theorem(X381)
| is_a_theorem(implies(X383,implies(X382,implies(X378,implies(X380,implies(X379,X383)))))) ),
inference(resolution,[status(thm)],[c211,condensed_detachment]) ).
cnf(c223,plain,
is_a_theorem(implies(X386,implies(X385,implies(X384,implies(X387,implies(X388,X386)))))),
inference(resolution,[status(thm)],[c216,c46]) ).
cnf(c247,plain,
is_a_theorem(implies(implies(implies(X2240,implies(X2239,implies(X2242,implies(X2241,X2245)))),X2241),implies(X2244,implies(X2243,X2241)))),
inference(resolution,[status(thm)],[c223,c0]) ).
cnf(c55,plain,
is_a_theorem(implies(implies(implies(X891,X892),implies(X893,implies(X888,X891))),implies(X890,implies(X889,implies(X893,implies(X888,X891)))))),
inference(resolution,[status(thm)],[c44,c0]) ).
cnf(c453,plain,
( ~ is_a_theorem(implies(implies(X7140,X7142),implies(X7141,implies(X7139,X7140))))
| is_a_theorem(implies(X7144,implies(X7143,implies(X7141,implies(X7139,X7140))))) ),
inference(resolution,[status(thm)],[c55,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(implies(X500,X499),implies(implies(X498,X495),implies(X495,X500))),implies(X496,implies(X497,implies(implies(X498,X495),implies(X495,X500)))))),
inference(resolution,[status(thm)],[c16,c0]) ).
cnf(c207,plain,
( ~ is_a_theorem(implies(X664,implies(X661,X663)))
| is_a_theorem(implies(X662,implies(X660,implies(X664,implies(X661,X663))))) ),
inference(resolution,[status(thm)],[c46,condensed_detachment]) ).
cnf(c363,plain,
is_a_theorem(implies(X6571,implies(X6578,implies(implies(implies(X6575,X6574),implies(implies(X6576,X6573),implies(X6573,X6575))),implies(X6577,implies(X6572,implies(implies(X6576,X6573),implies(X6573,X6575)))))))),
inference(resolution,[status(thm)],[c207,c29]) ).
cnf(c33,plain,
is_a_theorem(implies(implies(implies(X601,implies(X603,implies(X598,X601))),X599),implies(X600,implies(implies(X602,X601),X599)))),
inference(resolution,[status(thm)],[c27,c0]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(implies(X23,X21),implies(X21,X24)),implies(X20,implies(X22,X21))),implies(X26,implies(X25,implies(X20,implies(X22,X21)))))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(X58,implies(X54,implies(X51,X55))),implies(implies(X52,X55),implies(X55,X53))),implies(X57,implies(X56,implies(implies(X52,X55),implies(X55,X53)))))),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(implies(X191,implies(X193,implies(X197,X198))),implies(implies(X195,X198),implies(X198,X194))))
| is_a_theorem(implies(X196,implies(X192,implies(implies(X195,X198),implies(X198,X194))))) ),
inference(resolution,[status(thm)],[c4,condensed_detachment]) ).
cnf(c99,plain,
is_a_theorem(implies(X594,implies(X593,implies(implies(implies(X597,X595),X595),implies(X595,implies(X596,X595)))))),
inference(resolution,[status(thm)],[c17,ic_JLukasiewicz_5]) ).
cnf(c306,plain,
( ~ is_a_theorem(X1031)
| is_a_theorem(implies(X1029,implies(implies(implies(X1030,X1027),X1027),implies(X1027,implies(X1028,X1027))))) ),
inference(resolution,[status(thm)],[c99,condensed_detachment]) ).
cnf(c517,plain,
is_a_theorem(implies(X1040,implies(implies(implies(X1039,X1041),X1041),implies(X1041,implies(X1042,X1041))))),
inference(resolution,[status(thm)],[c306,c33]) ).
cnf(c547,plain,
( ~ is_a_theorem(X1188)
| is_a_theorem(implies(implies(implies(X1190,X1189),X1189),implies(X1189,implies(X1187,X1189)))) ),
inference(resolution,[status(thm)],[c517,condensed_detachment]) ).
cnf(c572,plain,
is_a_theorem(implies(implies(implies(X1200,X1199),X1199),implies(X1199,implies(X1198,X1199)))),
inference(resolution,[status(thm)],[c547,c33]) ).
cnf(c612,plain,
is_a_theorem(implies(implies(implies(X1612,X1614),implies(X1611,X1614)),implies(X1613,implies(X1614,implies(X1611,X1614))))),
inference(resolution,[status(thm)],[c572,c0]) ).
cnf(c268,plain,
( ~ is_a_theorem(implies(implies(X5403,X5402),implies(implies(X5404,X5401),implies(X5401,X5403))))
| is_a_theorem(implies(X5405,implies(X5400,implies(implies(X5404,X5401),implies(X5401,X5403))))) ),
inference(resolution,[status(thm)],[c29,condensed_detachment]) ).
cnf(c2985,plain,
is_a_theorem(implies(X5411,implies(X5414,implies(implies(X5412,X5410),implies(X5410,implies(X5413,X5410)))))),
inference(resolution,[status(thm)],[c268,c612]) ).
cnf(c3028,plain,
( ~ is_a_theorem(X6846)
| is_a_theorem(implies(X6843,implies(implies(X6842,X6845),implies(X6845,implies(X6844,X6845))))) ),
inference(resolution,[status(thm)],[c2985,condensed_detachment]) ).
cnf(c5087,plain,
is_a_theorem(implies(X6849,implies(implies(X6848,X6850),implies(X6850,implies(X6847,X6850))))),
inference(resolution,[status(thm)],[c3028,c363]) ).
cnf(c5239,plain,
( ~ is_a_theorem(X8825)
| is_a_theorem(implies(implies(X8827,X8824),implies(X8824,implies(X8826,X8824)))) ),
inference(resolution,[status(thm)],[c5087,condensed_detachment]) ).
cnf(c7304,plain,
is_a_theorem(implies(implies(X8829,X8830),implies(X8830,implies(X8828,X8830)))),
inference(resolution,[status(thm)],[c5239,c247]) ).
cnf(c7501,plain,
is_a_theorem(implies(X9704,implies(X9703,implies(X9706,implies(X9705,X9706))))),
inference(resolution,[status(thm)],[c7304,c453]) ).
cnf(c8150,plain,
( ~ is_a_theorem(X10445)
| is_a_theorem(implies(X10446,implies(X10443,implies(X10444,X10443)))) ),
inference(resolution,[status(thm)],[c7501,condensed_detachment]) ).
cnf(c8912,plain,
is_a_theorem(implies(X10448,implies(X10447,implies(X10449,X10447)))),
inference(resolution,[status(thm)],[c8150,c247]) ).
cnf(c9133,plain,
( ~ is_a_theorem(X11509)
| is_a_theorem(implies(X11510,implies(X11508,X11510))) ),
inference(resolution,[status(thm)],[c8912,condensed_detachment]) ).
cnf(c9404,plain,
is_a_theorem(implies(X11512,implies(X11511,X11512))),
inference(resolution,[status(thm)],[c9133,c247]) ).
cnf(c9619,plain,
$false,
inference(resolution,[status(thm)],[c9404,prove_ic_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 22:49:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.39 (re.compile("\."), Token.FullStop),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.39 (re.compile("\("), Token.OpenPar),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.39 (re.compile("\)"), Token.ClosePar),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.39 (re.compile("\["), Token.OpenSquare),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.39 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.39 (re.compile("~\|"), Token.Nor),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.39 (re.compile("\|"), Token.Or),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.39 (re.compile("\?"), Token.Existential),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.39 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.39 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.10/0.43 """
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.10/0.43 """
% 0.22/0.47 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.47 """
% 4.06/4.34 % Version: 1.5
% 4.06/4.34 % SZS status Unsatisfiable
% 4.06/4.34 % SZS output start CNFRefutation
% See solution above
% 4.06/4.34
% 4.06/4.34 % Initial clauses : 3
% 4.06/4.34 % Processed clauses : 319
% 4.06/4.34 % Factors computed : 0
% 4.06/4.34 % Resolvents computed: 9639
% 4.06/4.34 % Tautologies deleted: 0
% 4.06/4.34 % Forward subsumed : 2321
% 4.06/4.34 % Backward subsumed : 81
% 4.06/4.34 % -------- CPU Time ---------
% 4.06/4.34 % User time : 3.956 s
% 4.06/4.34 % System time : 0.020 s
% 4.06/4.34 % Total time : 3.976 s
%------------------------------------------------------------------------------