%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL068-1 : 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 12:57:47 PM UTC 2026
% Result : Unsatisfiable 213.54s 213.83s
% Output : CNFRefutation 213.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of clauses : 50 ( 33 unt; 0 nHn; 14 RR)
% Number of literals : 68 ( 0 equ; 19 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; 1 con; 0-2 aty)
% Number of variables : 126 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_2,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_59,axiom,
is_a_theorem(implies(implies(not(X28),X29),implies(implies(X30,X29),implies(implies(X28,X30),X29)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_59) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(not(X220),X221))
| is_a_theorem(implies(implies(X222,X221),implies(implies(X220,X222),X221))) ),
inference(resolution,[status(thm)],[cn_59,condensed_detachment]) ).
cnf(cn_19,axiom,
is_a_theorem(implies(implies(implies(X4,X6),X5),implies(X6,X5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_19) ).
cnf(cn_37,axiom,
is_a_theorem(implies(implies(implies(X12,X14),X13),implies(not(X12),X13))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_37) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(implies(X51,X50),X49))
| is_a_theorem(implies(not(X51),X49)) ),
inference(resolution,[status(thm)],[cn_37,condensed_detachment]) ).
cnf(c43,plain,
is_a_theorem(implies(not(implies(X58,X60)),implies(X60,X59))),
inference(resolution,[status(thm)],[c4,cn_19]) ).
cnf(c150,plain,
is_a_theorem(implies(implies(X802,implies(X803,X801)),implies(implies(implies(X804,X803),X802),implies(X803,X801)))),
inference(resolution,[status(thm)],[c21,c43]) ).
cnf(c446,plain,
( ~ is_a_theorem(implies(X1008,implies(X1010,X1007)))
| is_a_theorem(implies(implies(implies(X1009,X1010),X1008),implies(X1010,X1007))) ),
inference(resolution,[status(thm)],[c150,condensed_detachment]) ).
cnf(c518,plain,
is_a_theorem(implies(implies(implies(X1178,X1180),implies(implies(X1177,X1180),X1179)),implies(X1180,X1179))),
inference(resolution,[status(thm)],[c446,cn_19]) ).
cnf(c730,plain,
( ~ is_a_theorem(implies(implies(X1382,X1379),implies(implies(X1381,X1379),X1380)))
| is_a_theorem(implies(X1379,X1380)) ),
inference(resolution,[status(thm)],[c518,condensed_detachment]) ).
cnf(c874,plain,
is_a_theorem(implies(X1383,X1383)),
inference(resolution,[status(thm)],[c730,cn_19]) ).
cnf(c923,plain,
is_a_theorem(implies(implies(X1964,not(X1965)),implies(implies(X1965,X1964),not(X1965)))),
inference(resolution,[status(thm)],[c874,c21]) ).
cnf(c1223,plain,
( ~ is_a_theorem(implies(X2005,not(X2006)))
| is_a_theorem(implies(implies(X2006,X2005),not(X2006))) ),
inference(resolution,[status(thm)],[c923,condensed_detachment]) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X7,X9),X8))
| is_a_theorem(implies(X9,X8)) ),
inference(resolution,[status(thm)],[cn_19,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(X10,implies(X11,X10))),
inference(resolution,[status(thm)],[c0,cn_19]) ).
cnf(c42,plain,
is_a_theorem(implies(not(X55),implies(X56,implies(X55,X57)))),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(c540,plain,
is_a_theorem(implies(implies(implies(X1089,X1088),not(X1090)),implies(X1088,implies(X1090,X1091)))),
inference(resolution,[status(thm)],[c446,c42]) ).
cnf(c878,plain,
is_a_theorem(implies(not(X1418),implies(X1418,X1419))),
inference(resolution,[status(thm)],[c730,c540]) ).
cnf(c961,plain,
is_a_theorem(implies(implies(X2962,implies(X2963,X2961)),implies(implies(X2963,X2962),implies(X2963,X2961)))),
inference(resolution,[status(thm)],[c878,c21]) ).
cnf(c1977,plain,
( ~ is_a_theorem(implies(X3247,implies(X3245,X3246)))
| is_a_theorem(implies(implies(X3245,X3247),implies(X3245,X3246))) ),
inference(resolution,[status(thm)],[c961,condensed_detachment]) ).
cnf(c2070,plain,
is_a_theorem(implies(implies(X3669,implies(implies(X3667,X3669),X3668)),implies(X3669,X3668))),
inference(resolution,[status(thm)],[c1977,cn_19]) ).
cnf(c2685,plain,
( ~ is_a_theorem(implies(X3955,implies(implies(X3953,X3955),X3954)))
| is_a_theorem(implies(X3955,X3954)) ),
inference(resolution,[status(thm)],[c2070,condensed_detachment]) ).
cnf(c3,plain,
is_a_theorem(implies(X21,implies(X19,implies(X20,X21)))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c139,plain,
is_a_theorem(implies(implies(X1449,implies(X1448,implies(X1451,not(X1450)))),implies(implies(X1450,X1449),implies(X1448,implies(X1451,not(X1450)))))),
inference(resolution,[status(thm)],[c21,c3]) ).
cnf(c975,plain,
( ~ is_a_theorem(implies(X17011,implies(X17012,implies(X17014,not(X17013)))))
| is_a_theorem(implies(implies(X17013,X17011),implies(X17012,implies(X17014,not(X17013))))) ),
inference(resolution,[status(thm)],[c139,condensed_detachment]) ).
cnf(c15828,plain,
is_a_theorem(implies(implies(X17245,not(X17244)),implies(X17243,implies(X17244,not(X17245))))),
inference(resolution,[status(thm)],[c975,c42]) ).
cnf(c16093,plain,
is_a_theorem(implies(implies(X17266,not(X17267)),implies(X17267,not(X17266)))),
inference(resolution,[status(thm)],[c15828,c2685]) ).
cnf(c16132,plain,
( ~ is_a_theorem(implies(X17292,not(X17293)))
| is_a_theorem(implies(X17293,not(X17292))) ),
inference(resolution,[status(thm)],[c16093,condensed_detachment]) ).
cnf(c16196,plain,
is_a_theorem(implies(X17294,not(not(X17294)))),
inference(resolution,[status(thm)],[c16132,c874]) ).
cnf(c16232,plain,
is_a_theorem(implies(implies(not(X18123),X18123),not(not(X18123)))),
inference(resolution,[status(thm)],[c16196,c1223]) ).
cnf(c2113,plain,
is_a_theorem(implies(implies(X3267,X3266),implies(X3267,implies(X3268,X3266)))),
inference(resolution,[status(thm)],[c1977,c3]) ).
cnf(c2218,plain,
( ~ is_a_theorem(implies(X3310,X3311))
| is_a_theorem(implies(X3310,implies(X3309,X3311))) ),
inference(resolution,[status(thm)],[c2113,condensed_detachment]) ).
cnf(c40,plain,
is_a_theorem(implies(not(not(X363)),implies(implies(X365,X364),implies(implies(X363,X365),X364)))),
inference(resolution,[status(thm)],[c4,cn_59]) ).
cnf(c255,plain,
( ~ is_a_theorem(not(not(X570)))
| is_a_theorem(implies(implies(X569,X571),implies(implies(X570,X569),X571))) ),
inference(resolution,[status(thm)],[c40,condensed_detachment]) ).
cnf(c16229,plain,
( ~ is_a_theorem(X17295)
| is_a_theorem(not(not(X17295))) ),
inference(resolution,[status(thm)],[c16196,condensed_detachment]) ).
cnf(c16282,plain,
is_a_theorem(not(not(implies(X17297,X17297)))),
inference(resolution,[status(thm)],[c16229,c874]) ).
cnf(c16674,plain,
is_a_theorem(implies(implies(X24745,X24743),implies(implies(implies(X24744,X24744),X24745),X24743))),
inference(resolution,[status(thm)],[c16282,c255]) ).
cnf(c53895,plain,
( ~ is_a_theorem(implies(X28133,X28134))
| is_a_theorem(implies(implies(implies(X28135,X28135),X28133),X28134)) ),
inference(resolution,[status(thm)],[c16674,condensed_detachment]) ).
cnf(c65622,plain,
is_a_theorem(implies(implies(implies(X28569,X28569),X28570),implies(X28568,X28570))),
inference(resolution,[status(thm)],[c53895,c1]) ).
cnf(c67175,plain,
is_a_theorem(implies(implies(X39431,implies(implies(X39429,X39429),X39430)),implies(X39431,X39430))),
inference(resolution,[status(thm)],[c65622,c1977]) ).
cnf(c110432,plain,
( ~ is_a_theorem(implies(X50299,implies(implies(X50301,X50301),X50300)))
| is_a_theorem(implies(X50299,X50300)) ),
inference(resolution,[status(thm)],[c67175,condensed_detachment]) ).
cnf(c143792,plain,
is_a_theorem(implies(not(not(X50767)),implies(implies(X50767,X50768),X50768))),
inference(resolution,[status(thm)],[c110432,c40]) ).
cnf(c144632,plain,
is_a_theorem(implies(not(not(X50769)),X50769)),
inference(resolution,[status(thm)],[c143792,c110432]) ).
cnf(c144783,plain,
is_a_theorem(implies(not(not(X50870)),implies(X50871,X50870))),
inference(resolution,[status(thm)],[c144632,c2218]) ).
cnf(c145152,plain,
is_a_theorem(implies(implies(X51935,not(not(X51934))),implies(X51935,X51934))),
inference(resolution,[status(thm)],[c144783,c1977]) ).
cnf(c146896,plain,
( ~ is_a_theorem(implies(X52974,not(not(X52973))))
| is_a_theorem(implies(X52974,X52973)) ),
inference(resolution,[status(thm)],[c145152,condensed_detachment]) ).
cnf(c150294,plain,
is_a_theorem(implies(implies(not(X53006),X53006),X53006)),
inference(resolution,[status(thm)],[c146896,c16232]) ).
cnf(c150429,plain,
$false,
inference(resolution,[status(thm)],[c150294,prove_cn_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL068-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.02 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 5 23:05:27 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.08/0.33 (re.compile("\."), Token.FullStop),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.08/0.33 (re.compile("\("), Token.OpenPar),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.08/0.33 (re.compile("\)"), Token.ClosePar),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.08/0.33 (re.compile("\["), Token.OpenSquare),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.08/0.33 (re.compile("\]"), Token.CloseSquare),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.08/0.33 (re.compile("~\|"), Token.Nor),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.08/0.33 (re.compile("\|"), Token.Or),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.08/0.33 (re.compile("\?"), Token.Existential),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.08/0.33 (re.compile("\s+"), Token.WhiteSpace),
% 0.08/0.33 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.08/0.33 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.08/0.36 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.36 """
% 0.08/0.36 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.36 """
% 0.08/0.40 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.08/0.40 """
% 213.54/213.83 % Version: 1.5
% 213.54/213.83 % SZS status Unsatisfiable
% 213.54/213.83 % SZS output start CNFRefutation
% See solution above
% 213.54/213.83
% 213.54/213.83 % Initial clauses : 5
% 213.54/213.83 % Processed clauses : 1431
% 213.54/213.83 % Factors computed : 0
% 213.54/213.83 % Resolvents computed: 150527
% 213.54/213.83 % Tautologies deleted: 1
% 213.54/213.83 % Forward subsumed : 13107
% 213.54/213.83 % Backward subsumed : 12
% 213.54/213.83 % -------- CPU Time ---------
% 213.54/213.83 % User time : 213.334 s
% 213.54/213.83 % System time : 0.188 s
% 213.54/213.83 % Total time : 213.522 s
%------------------------------------------------------------------------------