%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL066-1 : 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 12:57:47 PM UTC 2026
% Result : Unsatisfiable 1.05s 1.30s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 37 ( 26 unt; 0 nHn; 11 RR)
% Number of literals : 49 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 85 ( 26 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_3,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_3) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X4))
| ~ is_a_theorem(X5)
| is_a_theorem(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X16,implies(X15,X14)),implies(implies(X16,X15),implies(X16,X14)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X29,implies(X30,X31)))
| is_a_theorem(implies(implies(X29,X30),implies(X29,X31))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X3,implies(X2,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(implies(X6,X7)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_18]) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X26),not(X25)),implies(X25,X26))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49) ).
cnf(c9,plain,
is_a_theorem(implies(X70,implies(implies(not(X71),not(X72)),implies(X72,X71)))),
inference(resolution,[status(thm)],[cn_49,c0]) ).
cnf(c43,plain,
is_a_theorem(implies(implies(X300,implies(not(X302),not(X301))),implies(X300,implies(X301,X302)))),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(c1,plain,
is_a_theorem(implies(X8,implies(X10,implies(X9,X10)))),
inference(resolution,[status(thm)],[c0,cn_18]) ).
cnf(c3,plain,
is_a_theorem(implies(X17,implies(X20,implies(X18,implies(X19,X18))))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(X33,X32),implies(X33,X33))),
inference(resolution,[status(thm)],[c4,cn_18]) ).
cnf(c16,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(X35,X35)) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c18,plain,
is_a_theorem(implies(X36,X36)),
inference(resolution,[status(thm)],[c16,c3]) ).
cnf(c24,plain,
is_a_theorem(implies(implies(implies(X157,X156),X157),implies(implies(X157,X156),X156))),
inference(resolution,[status(thm)],[c18,c4]) ).
cnf(c120,plain,
( ~ is_a_theorem(implies(implies(X262,X261),X262))
| is_a_theorem(implies(implies(X262,X261),X261)) ),
inference(resolution,[status(thm)],[c24,condensed_detachment]) ).
cnf(c191,plain,
is_a_theorem(implies(implies(implies(X315,implies(X316,X315)),X314),X314)),
inference(resolution,[status(thm)],[c120,c1]) ).
cnf(c256,plain,
( ~ is_a_theorem(implies(implies(X424,implies(X423,X424)),X422))
| is_a_theorem(X422) ),
inference(resolution,[status(thm)],[c191,condensed_detachment]) ).
cnf(c358,plain,
is_a_theorem(implies(not(X440),implies(X440,X441))),
inference(resolution,[status(thm)],[c256,c43]) ).
cnf(c373,plain,
is_a_theorem(implies(X482,implies(not(X484),implies(X484,X483)))),
inference(resolution,[status(thm)],[c358,c0]) ).
cnf(c386,plain,
is_a_theorem(implies(implies(X980,not(X981)),implies(X980,implies(X981,X982)))),
inference(resolution,[status(thm)],[c373,c4]) ).
cnf(c923,plain,
( ~ is_a_theorem(implies(X1242,not(X1244)))
| is_a_theorem(implies(X1242,implies(X1244,X1243))) ),
inference(resolution,[status(thm)],[c386,condensed_detachment]) ).
cnf(c8,plain,
( ~ is_a_theorem(implies(not(X27),not(X28)))
| is_a_theorem(implies(X28,X27)) ),
inference(resolution,[status(thm)],[cn_49,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(X130,implies(X131,X132)),implies(X130,X131)),implies(implies(X130,implies(X131,X132)),implies(X130,X132)))),
inference(resolution,[status(thm)],[c4,cn_35]) ).
cnf(c27,plain,
is_a_theorem(implies(X45,implies(X46,X46))),
inference(resolution,[status(thm)],[c18,c0]) ).
cnf(c33,plain,
is_a_theorem(implies(X58,implies(X60,implies(X59,X59)))),
inference(resolution,[status(thm)],[c27,c0]) ).
cnf(c184,plain,
is_a_theorem(implies(implies(implies(X310,implies(X311,X311)),X309),X309)),
inference(resolution,[status(thm)],[c120,c33]) ).
cnf(c248,plain,
( ~ is_a_theorem(implies(implies(X365,implies(X367,X367)),X366))
| is_a_theorem(X366) ),
inference(resolution,[status(thm)],[c184,condensed_detachment]) ).
cnf(c287,plain,
is_a_theorem(implies(implies(X570,implies(X570,X569)),implies(X570,X569))),
inference(resolution,[status(thm)],[c248,c13]) ).
cnf(c486,plain,
( ~ is_a_theorem(implies(X691,implies(X691,X692)))
| is_a_theorem(implies(X691,X692)) ),
inference(resolution,[status(thm)],[c287,condensed_detachment]) ).
cnf(c394,plain,
is_a_theorem(implies(implies(implies(not(X1005),implies(X1005,X1006)),X1004),X1004)),
inference(resolution,[status(thm)],[c373,c120]) ).
cnf(c948,plain,
( ~ is_a_theorem(implies(implies(not(X1252),implies(X1252,X1251)),X1250))
| is_a_theorem(X1250) ),
inference(resolution,[status(thm)],[c394,condensed_detachment]) ).
cnf(c1206,plain,
is_a_theorem(implies(not(not(X1286)),implies(X1285,X1286))),
inference(resolution,[status(thm)],[c948,c43]) ).
cnf(c1247,plain,
is_a_theorem(implies(not(not(X1294)),X1294)),
inference(resolution,[status(thm)],[c1206,c486]) ).
cnf(c1270,plain,
is_a_theorem(implies(X1295,not(not(X1295)))),
inference(resolution,[status(thm)],[c1247,c8]) ).
cnf(c1289,plain,
is_a_theorem(implies(X1307,implies(not(X1307),X1308))),
inference(resolution,[status(thm)],[c1270,c923]) ).
cnf(c1414,plain,
$false,
inference(resolution,[status(thm)],[c1289,prove_cn_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL066-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 21:07:00 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.41 (re.compile("\."), Token.FullStop),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.41 (re.compile("\("), Token.OpenPar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.41 (re.compile("\)"), Token.ClosePar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.41 (re.compile("\["), Token.OpenSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("~\|"), Token.Nor),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("\|"), Token.Or),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.41 (re.compile("\?"), Token.Existential),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.48 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.22/0.48 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.32/0.57 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.57 """
% 1.05/1.30 % Version: 1.5
% 1.05/1.30 % SZS status Unsatisfiable
% 1.05/1.30 % SZS output start CNFRefutation
% See solution above
% 1.05/1.30
% 1.05/1.30 % Initial clauses : 5
% 1.05/1.30 % Processed clauses : 134
% 1.05/1.30 % Factors computed : 0
% 1.05/1.30 % Resolvents computed: 1436
% 1.05/1.30 % Tautologies deleted: 1
% 1.05/1.30 % Forward subsumed : 291
% 1.05/1.30 % Backward subsumed : 2
% 1.05/1.30 % -------- CPU Time ---------
% 1.05/1.30 % User time : 0.922 s
% 1.05/1.30 % System time : 0.026 s
% 1.05/1.30 % Total time : 0.948 s
%------------------------------------------------------------------------------