%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL083-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 5.55s 5.89s
% Output : CNFRefutation 5.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of clauses : 38 ( 26 unt; 0 nHn; 3 RR)
% Number of literals : 51 ( 0 equ; 14 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 131 ( 74 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X3,X4))
| ~ is_a_theorem(X3)
| is_a_theorem(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X7,X8),X9),implies(implies(X9,X7),implies(X6,X7)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
cnf(c1,plain,
( ~ is_a_theorem(implies(implies(X12,X13),X11))
| is_a_theorem(implies(implies(X11,X12),implies(X10,X12))) ),
inference(resolution,[status(thm)],[ic_JLukasiewicz,condensed_detachment]) ).
cnf(ic_1,axiom,
is_a_theorem(implies(X2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_1) ).
cnf(c3,plain,
is_a_theorem(implies(implies(implies(X16,X14),X16),implies(X15,X16))),
inference(resolution,[status(thm)],[c1,ic_1]) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(implies(X17,X19),X17))
| is_a_theorem(implies(X18,X17)) ),
inference(resolution,[status(thm)],[c3,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(implies(X20,implies(X21,X21))),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(c9,plain,
is_a_theorem(implies(implies(implies(X32,X32),X33),implies(X31,X33))),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(implies(X28,X26),implies(X27,X26)),implies(X26,X29)),implies(X30,implies(X26,X29)))),
inference(resolution,[status(thm)],[c1,ic_JLukasiewicz]) ).
cnf(c10,plain,
( ~ is_a_theorem(implies(implies(implies(X63,X66),implies(X62,X66)),implies(X66,X65)))
| is_a_theorem(implies(X64,implies(X66,X65))) ),
inference(resolution,[status(thm)],[c2,condensed_detachment]) ).
cnf(c31,plain,
is_a_theorem(implies(X72,implies(X73,implies(X74,X73)))),
inference(resolution,[status(thm)],[c10,c9]) ).
cnf(c40,plain,
( ~ is_a_theorem(X97)
| is_a_theorem(implies(X96,implies(X95,X96))) ),
inference(resolution,[status(thm)],[c31,condensed_detachment]) ).
cnf(c46,plain,
is_a_theorem(implies(X99,implies(X98,X99))),
inference(resolution,[status(thm)],[c40,c9]) ).
cnf(c58,plain,
( ~ is_a_theorem(X126)
| is_a_theorem(implies(X125,X126)) ),
inference(resolution,[status(thm)],[c46,condensed_detachment]) ).
cnf(c13,plain,
( ~ is_a_theorem(implies(implies(X40,X40),X39))
| is_a_theorem(implies(X41,X39)) ),
inference(resolution,[status(thm)],[c9,condensed_detachment]) ).
cnf(c19,plain,
is_a_theorem(implies(X50,implies(X52,implies(X51,X51)))),
inference(resolution,[status(thm)],[c13,c9]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(implies(X208,implies(X207,X207)),X209),implies(X206,X209))),
inference(resolution,[status(thm)],[c19,c1]) ).
cnf(c104,plain,
is_a_theorem(implies(X679,implies(implies(implies(X681,implies(X682,X682)),X678),implies(X680,X678)))),
inference(resolution,[status(thm)],[c29,c58]) ).
cnf(c413,plain,
is_a_theorem(implies(implies(implies(implies(implies(X3568,implies(X3570,X3570)),X3571),implies(X3569,X3571)),X3573),implies(X3572,X3573))),
inference(resolution,[status(thm)],[c104,c1]) ).
cnf(c21,plain,
is_a_theorem(implies(X167,implies(implies(implies(X168,X169),X168),implies(X166,X168)))),
inference(resolution,[status(thm)],[c13,ic_JLukasiewicz]) ).
cnf(c91,plain,
is_a_theorem(implies(implies(implies(implies(implies(X551,X553),X551),implies(X550,X551)),X554),implies(X552,X554))),
inference(resolution,[status(thm)],[c21,c1]) ).
cnf(c317,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X2911,X2914),X2911),implies(X2913,X2911)),X2912))
| is_a_theorem(implies(X2915,X2912)) ),
inference(resolution,[status(thm)],[c91,condensed_detachment]) ).
cnf(c59,plain,
is_a_theorem(implies(X284,implies(X285,implies(implies(X283,X285),implies(X286,X285))))),
inference(resolution,[status(thm)],[c46,c10]) ).
cnf(c137,plain,
is_a_theorem(implies(X832,implies(X836,implies(X833,implies(implies(X835,X833),implies(X834,X833)))))),
inference(resolution,[status(thm)],[c59,c58]) ).
cnf(c5,plain,
is_a_theorem(implies(implies(implies(X47,X44),implies(X44,X46)),implies(X45,implies(X44,X46)))),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(implies(X190,implies(X192,X194)),implies(X191,X192)),implies(X193,implies(X191,X192)))),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(c97,plain,
( ~ is_a_theorem(implies(implies(X620,implies(X621,X618)),implies(X622,X621)))
| is_a_theorem(implies(X619,implies(X622,X621))) ),
inference(resolution,[status(thm)],[c25,condensed_detachment]) ).
cnf(c381,plain,
is_a_theorem(implies(X1666,implies(implies(implies(implies(X1665,X1668),X1667),X1668),implies(X1665,X1668)))),
inference(resolution,[status(thm)],[c97,ic_JLukasiewicz]) ).
cnf(c789,plain,
( ~ is_a_theorem(X2369)
| is_a_theorem(implies(implies(implies(implies(X2366,X2368),X2367),X2368),implies(X2366,X2368))) ),
inference(resolution,[status(thm)],[c381,condensed_detachment]) ).
cnf(c878,plain,
is_a_theorem(implies(implies(implies(implies(X2371,X2370),X2372),X2370),implies(X2371,X2370))),
inference(resolution,[status(thm)],[c789,c137]) ).
cnf(c940,plain,
is_a_theorem(implies(implies(implies(X10401,X10399),implies(implies(X10401,X10399),X10400)),implies(X10402,implies(implies(X10401,X10399),X10400)))),
inference(resolution,[status(thm)],[c878,c1]) ).
cnf(c6402,plain,
is_a_theorem(implies(X10416,implies(X10417,implies(implies(implies(X10414,X10415),X10414),X10414)))),
inference(resolution,[status(thm)],[c940,c317]) ).
cnf(c6436,plain,
( ~ is_a_theorem(X10470)
| is_a_theorem(implies(X10469,implies(implies(implies(X10468,X10467),X10468),X10468))) ),
inference(resolution,[status(thm)],[c6402,condensed_detachment]) ).
cnf(c6545,plain,
is_a_theorem(implies(X10473,implies(implies(implies(X10471,X10472),X10471),X10471))),
inference(resolution,[status(thm)],[c6436,c413]) ).
cnf(c6710,plain,
( ~ is_a_theorem(X11200)
| is_a_theorem(implies(implies(implies(X11199,X11201),X11199),X11199)) ),
inference(resolution,[status(thm)],[c6545,condensed_detachment]) ).
cnf(c7034,plain,
is_a_theorem(implies(implies(implies(X11203,X11202),X11203),X11203)),
inference(resolution,[status(thm)],[c6710,c413]) ).
cnf(c7204,plain,
$false,
inference(resolution,[status(thm)],[c7034,prove_ic_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL083-2 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 13:56:57 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.11/0.40 (re.compile("\."), Token.FullStop),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.11/0.40 (re.compile("\("), Token.OpenPar),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.11/0.40 (re.compile("\)"), Token.ClosePar),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.11/0.40 (re.compile("\["), Token.OpenSquare),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.11/0.40 (re.compile("\]"), Token.CloseSquare),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.40 (re.compile("~\|"), Token.Nor),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.40 (re.compile("\|"), Token.Or),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.11/0.40 (re.compile("\?"), Token.Existential),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.11/0.40 (re.compile("\s+"), Token.WhiteSpace),
% 0.11/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.11/0.40 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.11/0.46 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.11/0.46 """
% 0.21/0.46 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.46 """
% 0.21/0.54 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.54 """
% 5.55/5.89 % Version: 1.5
% 5.55/5.89 % SZS status Unsatisfiable
% 5.55/5.89 % SZS output start CNFRefutation
% See solution above
% 5.55/5.89
% 5.55/5.89 % Initial clauses : 4
% 5.55/5.89 % Processed clauses : 238
% 5.55/5.89 % Factors computed : 0
% 5.55/5.89 % Resolvents computed: 7224
% 5.55/5.89 % Tautologies deleted: 1
% 5.55/5.89 % Forward subsumed : 2349
% 5.55/5.89 % Backward subsumed : 32
% 5.55/5.89 % -------- CPU Time ---------
% 5.55/5.89 % User time : 5.510 s
% 5.55/5.89 % System time : 0.036 s
% 5.55/5.89 % Total time : 5.546 s
%------------------------------------------------------------------------------