%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL055-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 12:57:45 PM UTC 2026
% Result : Unsatisfiable 60.63s 60.90s
% Output : CNFRefutation 60.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of clauses : 53 ( 39 unt; 0 nHn; 10 RR)
% Number of literals : 68 ( 0 equ; 16 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 141 ( 48 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_37,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(not(a),c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_37) ).
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(cn_1,axiom,
is_a_theorem(implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X26,X27))
| is_a_theorem(implies(implies(X27,X28),implies(X26,X28))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(not(X29),X31),X30),implies(X29,X30))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_2]) ).
cnf(c19,plain,
is_a_theorem(implies(implies(implies(X149,X147),X148),implies(implies(implies(not(X149),X150),X147),X148))),
inference(resolution,[status(thm)],[c13,c4]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(X33,X32),implies(implies(not(X33),X33),X32))),
inference(resolution,[status(thm)],[c4,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(implies(not(X35),X36),X34))
| is_a_theorem(implies(X35,X34)) ),
inference(resolution,[status(thm)],[c13,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X9)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c25,plain,
is_a_theorem(implies(X41,X41)),
inference(resolution,[status(thm)],[c18,cn_2]) ).
cnf(c31,plain,
is_a_theorem(implies(not(implies(X44,X44)),X43)),
inference(resolution,[status(thm)],[c25,c1]) ).
cnf(c37,plain,
is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
inference(resolution,[status(thm)],[c31,c4]) ).
cnf(c123,plain,
is_a_theorem(implies(X117,implies(not(implies(X118,X118)),X119))),
inference(resolution,[status(thm)],[c37,c18]) ).
cnf(c129,plain,
is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X218),X216),implies(X217,X216))),
inference(resolution,[status(thm)],[c123,c4]) ).
cnf(c253,plain,
( ~ is_a_theorem(implies(implies(not(implies(X220,X220)),X221),X219))
| is_a_theorem(implies(X222,X219)) ),
inference(resolution,[status(thm)],[c129,condensed_detachment]) ).
cnf(c261,plain,
is_a_theorem(implies(X223,implies(X224,X224))),
inference(resolution,[status(thm)],[c253,cn_2]) ).
cnf(c274,plain,
is_a_theorem(implies(implies(implies(X271,X271),X269),implies(X270,X269))),
inference(resolution,[status(thm)],[c261,c4]) ).
cnf(c310,plain,
( ~ is_a_theorem(implies(implies(X272,X272),X274))
| is_a_theorem(implies(X273,X274)) ),
inference(resolution,[status(thm)],[c274,condensed_detachment]) ).
cnf(c316,plain,
is_a_theorem(implies(X303,implies(implies(not(X304),X304),X304))),
inference(resolution,[status(thm)],[c310,c14]) ).
cnf(c363,plain,
is_a_theorem(implies(implies(implies(implies(not(X840),X840),X840),X838),implies(X839,X838))),
inference(resolution,[status(thm)],[c316,c4]) ).
cnf(c723,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1032),X1032),X1032),X1034))
| is_a_theorem(implies(X1033,X1034)) ),
inference(resolution,[status(thm)],[c363,condensed_detachment]) ).
cnf(c881,plain,
is_a_theorem(implies(X1127,implies(implies(implies(not(not(X1128)),X1129),X1128),X1128))),
inference(resolution,[status(thm)],[c723,c19]) ).
cnf(c940,plain,
is_a_theorem(implies(implies(implies(not(not(X1136)),X1135),X1136),X1136)),
inference(resolution,[status(thm)],[c881,c0]) ).
cnf(c954,plain,
( ~ is_a_theorem(implies(implies(not(not(X1140)),X1139),X1140))
| is_a_theorem(X1140) ),
inference(resolution,[status(thm)],[c940,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X112,X113),implies(X111,X113)),X110),implies(implies(X111,X112),X110))),
inference(resolution,[status(thm)],[c4,cn_1]) ).
cnf(c116,plain,
( ~ is_a_theorem(implies(implies(implies(X1456,X1459),implies(X1458,X1459)),X1457))
| is_a_theorem(implies(implies(X1458,X1456),X1457)) ),
inference(resolution,[status(thm)],[c16,condensed_detachment]) ).
cnf(c1196,plain,
is_a_theorem(implies(implies(X2119,implies(not(X2120),X2120)),implies(X2121,implies(X2119,X2120)))),
inference(resolution,[status(thm)],[c116,c363]) ).
cnf(c2128,plain,
( ~ is_a_theorem(implies(X3888,implies(not(X3887),X3887)))
| is_a_theorem(implies(X3886,implies(X3888,X3887))) ),
inference(resolution,[status(thm)],[c1196,condensed_detachment]) ).
cnf(c2125,plain,
is_a_theorem(implies(implies(not(X2420),X2418),implies(X2419,implies(implies(X2418,X2420),X2420)))),
inference(resolution,[status(thm)],[c1196,c116]) ).
cnf(c326,plain,
is_a_theorem(implies(X282,implies(X284,implies(X283,X283)))),
inference(resolution,[status(thm)],[c310,c274]) ).
cnf(c341,plain,
is_a_theorem(implies(implies(implies(X422,implies(X423,X423)),X421),implies(X420,X421))),
inference(resolution,[status(thm)],[c326,c4]) ).
cnf(c5262,plain,
is_a_theorem(implies(X4110,implies(implies(implies(X4109,implies(X4111,X4111)),X4108),X4108))),
inference(resolution,[status(thm)],[c2128,c341]) ).
cnf(c5937,plain,
is_a_theorem(implies(implies(implies(X4119,implies(X4120,X4120)),X4121),X4121)),
inference(resolution,[status(thm)],[c5262,c954]) ).
cnf(c6004,plain,
( ~ is_a_theorem(implies(implies(X4167,implies(X4168,X4168)),X4166))
| is_a_theorem(X4166) ),
inference(resolution,[status(thm)],[c5937,condensed_detachment]) ).
cnf(c2725,plain,
is_a_theorem(implies(X2423,implies(X2424,implies(implies(X2425,X2423),X2423)))),
inference(resolution,[status(thm)],[c2125,c18]) ).
cnf(c5263,plain,
is_a_theorem(implies(X3940,implies(X3939,implies(implies(X3941,X3939),X3939)))),
inference(resolution,[status(thm)],[c2128,c2725]) ).
cnf(c5380,plain,
is_a_theorem(implies(X3942,implies(implies(X3943,X3942),X3942))),
inference(resolution,[status(thm)],[c5263,c954]) ).
cnf(c5426,plain,
is_a_theorem(implies(implies(implies(implies(X4549,X4550),X4550),X4548),implies(X4550,X4548))),
inference(resolution,[status(thm)],[c5380,c4]) ).
cnf(c6562,plain,
is_a_theorem(implies(implies(X4713,implies(X4714,X4715)),implies(X4715,implies(X4713,X4715)))),
inference(resolution,[status(thm)],[c5426,c116]) ).
cnf(c6697,plain,
is_a_theorem(implies(X4716,implies(X4717,X4716))),
inference(resolution,[status(thm)],[c6562,c6004]) ).
cnf(c6730,plain,
is_a_theorem(implies(implies(implies(X4961,X4960),X4959),implies(X4960,X4959))),
inference(resolution,[status(thm)],[c6697,c4]) ).
cnf(c7377,plain,
( ~ is_a_theorem(implies(implies(X5101,X5100),X5099))
| is_a_theorem(implies(X5100,X5099)) ),
inference(resolution,[status(thm)],[c6730,condensed_detachment]) ).
cnf(c7771,plain,
is_a_theorem(implies(X5367,implies(X5368,implies(implies(X5367,X5369),X5369)))),
inference(resolution,[status(thm)],[c7377,c2125]) ).
cnf(c8919,plain,
is_a_theorem(implies(X5477,implies(X5478,implies(implies(X5478,X5476),X5476)))),
inference(resolution,[status(thm)],[c7771,c2128]) ).
cnf(c9406,plain,
is_a_theorem(implies(X5484,implies(implies(X5484,X5483),X5483))),
inference(resolution,[status(thm)],[c8919,c954]) ).
cnf(c9465,plain,
is_a_theorem(implies(implies(implies(implies(X12489,X12487),X12487),X12488),implies(X12489,X12488))),
inference(resolution,[status(thm)],[c9406,c4]) ).
cnf(c28214,plain,
( ~ is_a_theorem(implies(implies(implies(X16141,X16140),X16140),X16142))
| is_a_theorem(implies(X16141,X16142)) ),
inference(resolution,[status(thm)],[c9465,condensed_detachment]) ).
cnf(c38006,plain,
is_a_theorem(implies(not(X16180),implies(X16180,X16181))),
inference(resolution,[status(thm)],[c28214,c13]) ).
cnf(c38544,plain,
is_a_theorem(implies(implies(implies(X24318,X24320),X24319),implies(not(X24318),X24319))),
inference(resolution,[status(thm)],[c38006,c4]) ).
cnf(c82231,plain,
$false,
inference(resolution,[status(thm)],[c38544,prove_cn_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.39 % Computer : n011.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Fri Sep 4 12:59:43 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.43 (re.compile("\."), Token.FullStop),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.43 (re.compile("\("), Token.OpenPar),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.43 (re.compile("\)"), Token.ClosePar),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.43 (re.compile("\["), Token.OpenSquare),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("~\|"), Token.Nor),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("\|"), Token.Or),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.43 (re.compile("\?"), Token.Existential),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.19/0.46 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.19/0.46 """
% 0.19/0.46 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.19/0.46 """
% 0.19/0.50 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.19/0.50 """
% 60.63/60.90 % Version: 1.5
% 60.63/60.90 % SZS status Unsatisfiable
% 60.63/60.90 % SZS output start CNFRefutation
% See solution above
% 60.63/60.90
% 60.63/60.90 % Initial clauses : 5
% 60.63/60.90 % Processed clauses : 1268
% 60.63/60.90 % Factors computed : 0
% 60.63/60.90 % Resolvents computed: 82255
% 60.63/60.90 % Tautologies deleted: 1
% 60.63/60.90 % Forward subsumed : 6654
% 60.63/60.90 % Backward subsumed : 191
% 60.63/60.90 % -------- CPU Time ---------
% 60.63/60.90 % User time : 60.373 s
% 60.63/60.90 % System time : 0.131 s
% 60.63/60.90 % Total time : 60.504 s
%------------------------------------------------------------------------------