%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL399-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 12:58:25 PM UTC 2026
% Result : Unsatisfiable 16.55s 16.85s
% Output : CNFRefutation 16.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of clauses : 64 ( 45 unt; 0 nHn; 12 RR)
% Number of literals : 84 ( 0 equ; 21 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 169 ( 54 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_65,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),not(implies(y,y))),x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_65) ).
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,X28))
| is_a_theorem(implies(implies(X28,X27),implies(X26,X27))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X110,X111),implies(X113,X111)),X112),implies(implies(X113,X110),X112))),
inference(resolution,[status(thm)],[c4,cn_1]) ).
cnf(c114,plain,
( ~ is_a_theorem(implies(implies(implies(X1410,X1412),implies(X1411,X1412)),X1413))
| is_a_theorem(implies(implies(X1411,X1410),X1413)) ),
inference(resolution,[status(thm)],[c16,condensed_detachment]) ).
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(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(not(X31),X33),X32),implies(X31,X32))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(c22,plain,
is_a_theorem(implies(implies(implies(X181,X183),X182),implies(implies(implies(not(X181),X184),X183),X182))),
inference(resolution,[status(thm)],[c15,c4]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X49),X51),X50))
| is_a_theorem(implies(X49,X50)) ),
inference(resolution,[status(thm)],[c15,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(c42,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,[status(thm)],[c20,cn_2]) ).
cnf(c54,plain,
is_a_theorem(implies(not(implies(X59,X59)),X60)),
inference(resolution,[status(thm)],[c42,c1]) ).
cnf(c63,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,[status(thm)],[c54,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X119,implies(not(implies(X118,X118)),X117))),
inference(resolution,[status(thm)],[c63,c20]) ).
cnf(c132,plain,
is_a_theorem(implies(implies(implies(not(implies(X219,X219)),X218),X217),implies(X216,X217))),
inference(resolution,[status(thm)],[c122,c4]) ).
cnf(c250,plain,
( ~ is_a_theorem(implies(implies(not(implies(X223,X223)),X221),X222))
| is_a_theorem(implies(X220,X222)) ),
inference(resolution,[status(thm)],[c132,condensed_detachment]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
inference(resolution,[status(thm)],[c4,cn_2]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(implies(not(X34),X34),X35)) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X281,X282)),implies(X281,X282)),implies(implies(not(X281),X281),X282))),
inference(resolution,[status(thm)],[c17,c14]) ).
cnf(c342,plain,
is_a_theorem(implies(X283,implies(implies(not(X284),X284),X284))),
inference(resolution,[status(thm)],[c29,c250]) ).
cnf(c351,plain,
is_a_theorem(implies(implies(implies(implies(not(X908),X908),X908),X909),implies(X907,X909))),
inference(resolution,[status(thm)],[c342,c4]) ).
cnf(c774,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1100),X1100),X1100),X1101))
| is_a_theorem(implies(X1102,X1101)) ),
inference(resolution,[status(thm)],[c351,condensed_detachment]) ).
cnf(c954,plain,
is_a_theorem(implies(X1194,implies(implies(implies(not(not(X1193)),X1195),X1193),X1193))),
inference(resolution,[status(thm)],[c774,c22]) ).
cnf(c979,plain,
is_a_theorem(implies(implies(implies(not(not(X1197)),X1196),X1197),X1197)),
inference(resolution,[status(thm)],[c954,c0]) ).
cnf(c996,plain,
( ~ is_a_theorem(implies(implies(not(not(X1207)),X1206),X1207))
| is_a_theorem(X1207) ),
inference(resolution,[status(thm)],[c979,condensed_detachment]) ).
cnf(c266,plain,
is_a_theorem(implies(X226,implies(X227,X227))),
inference(resolution,[status(thm)],[c250,cn_2]) ).
cnf(c285,plain,
is_a_theorem(implies(implies(implies(X298,X298),X297),implies(X296,X297))),
inference(resolution,[status(thm)],[c266,c4]) ).
cnf(c359,plain,
( ~ is_a_theorem(implies(implies(X304,X304),X302))
| is_a_theorem(implies(X303,X302)) ),
inference(resolution,[status(thm)],[c285,condensed_detachment]) ).
cnf(c372,plain,
is_a_theorem(implies(X315,implies(X314,implies(X316,X316)))),
inference(resolution,[status(thm)],[c359,c285]) ).
cnf(c393,plain,
is_a_theorem(implies(implies(implies(X435,implies(X436,X436)),X437),implies(X434,X437))),
inference(resolution,[status(thm)],[c372,c4]) ).
cnf(c471,plain,
( ~ is_a_theorem(implies(implies(X474,implies(X472,X472)),X471))
| is_a_theorem(implies(X473,X471)) ),
inference(resolution,[status(thm)],[c393,condensed_detachment]) ).
cnf(c1164,plain,
is_a_theorem(implies(implies(X2077,implies(not(X2076),X2076)),implies(X2078,implies(X2077,X2076)))),
inference(resolution,[status(thm)],[c114,c351]) ).
cnf(c2062,plain,
is_a_theorem(implies(implies(not(X2394),X2393),implies(X2392,implies(implies(X2393,X2394),X2394)))),
inference(resolution,[status(thm)],[c1164,c114]) ).
cnf(c2540,plain,
is_a_theorem(implies(X2407,implies(X2410,implies(implies(implies(X2408,X2408),X2409),X2409)))),
inference(resolution,[status(thm)],[c2062,c471]) ).
cnf(c2727,plain,
is_a_theorem(implies(X2413,implies(implies(implies(X2411,X2411),X2412),X2412))),
inference(resolution,[status(thm)],[c2540,c996]) ).
cnf(c2749,plain,
is_a_theorem(implies(implies(implies(X2415,X2415),X2414),X2414)),
inference(resolution,[status(thm)],[c2727,c996]) ).
cnf(c235,plain,
( ~ is_a_theorem(implies(implies(X3351,X3348),X3350))
| is_a_theorem(implies(implies(implies(not(X3351),X3349),X3348),X3350)) ),
inference(resolution,[status(thm)],[c22,condensed_detachment]) ).
cnf(c4284,plain,
is_a_theorem(implies(implies(implies(not(implies(X3362,X3362)),X3361),X3363),X3363)),
inference(resolution,[status(thm)],[c235,c2749]) ).
cnf(c4298,plain,
is_a_theorem(implies(implies(X3391,not(implies(X3390,X3390))),implies(X3391,X3392))),
inference(resolution,[status(thm)],[c4284,c114]) ).
cnf(c2785,plain,
( ~ is_a_theorem(implies(implies(X2427,X2427),X2428))
| is_a_theorem(X2428) ),
inference(resolution,[status(thm)],[c2749,condensed_detachment]) ).
cnf(c2069,plain,
( ~ is_a_theorem(implies(X3821,implies(not(X3822),X3822)))
| is_a_theorem(implies(X3820,implies(X3821,X3822))) ),
inference(resolution,[status(thm)],[c1164,condensed_detachment]) ).
cnf(c5034,plain,
is_a_theorem(implies(X4283,implies(implies(implies(X4284,implies(X4282,X4282)),X4281),X4281))),
inference(resolution,[status(thm)],[c2069,c393]) ).
cnf(c6228,plain,
is_a_theorem(implies(implies(implies(X4288,implies(X4287,X4287)),X4289),X4289)),
inference(resolution,[status(thm)],[c5034,c996]) ).
cnf(c6280,plain,
( ~ is_a_theorem(implies(implies(X4335,implies(X4334,X4334)),X4336))
| is_a_theorem(X4336) ),
inference(resolution,[status(thm)],[c6228,condensed_detachment]) ).
cnf(c2538,plain,
is_a_theorem(implies(X2396,implies(X2395,implies(implies(X2397,X2396),X2396)))),
inference(resolution,[status(thm)],[c2062,c20]) ).
cnf(c5029,plain,
is_a_theorem(implies(X3855,implies(X3854,implies(implies(X3856,X3854),X3854)))),
inference(resolution,[status(thm)],[c2069,c2538]) ).
cnf(c5195,plain,
is_a_theorem(implies(X3858,implies(implies(X3857,X3858),X3858))),
inference(resolution,[status(thm)],[c5029,c996]) ).
cnf(c5233,plain,
is_a_theorem(implies(implies(implies(implies(X4769,X4771),X4771),X4770),implies(X4771,X4770))),
inference(resolution,[status(thm)],[c5195,c4]) ).
cnf(c7204,plain,
is_a_theorem(implies(implies(X4984,implies(X4986,X4985)),implies(X4985,implies(X4984,X4985)))),
inference(resolution,[status(thm)],[c5233,c114]) ).
cnf(c7360,plain,
is_a_theorem(implies(X4988,implies(X4987,X4988))),
inference(resolution,[status(thm)],[c7204,c6280]) ).
cnf(c7389,plain,
is_a_theorem(implies(implies(implies(X5257,X5256),X5255),implies(X5256,X5255))),
inference(resolution,[status(thm)],[c7360,c4]) ).
cnf(c8129,plain,
( ~ is_a_theorem(implies(implies(X5371,X5372),X5373))
| is_a_theorem(implies(X5372,X5373)) ),
inference(resolution,[status(thm)],[c7389,condensed_detachment]) ).
cnf(c8384,plain,
is_a_theorem(implies(X5663,implies(X5662,implies(implies(X5663,X5664),X5664)))),
inference(resolution,[status(thm)],[c8129,c2062]) ).
cnf(c9444,plain,
is_a_theorem(implies(X5749,implies(X5748,implies(implies(X5748,X5750),X5750)))),
inference(resolution,[status(thm)],[c8384,c2069]) ).
cnf(c9620,plain,
is_a_theorem(implies(X5751,implies(implies(X5751,X5752),X5752))),
inference(resolution,[status(thm)],[c9444,c2785]) ).
cnf(c9661,plain,
( ~ is_a_theorem(X5776)
| is_a_theorem(implies(implies(X5776,X5775),X5775)) ),
inference(resolution,[status(thm)],[c9620,condensed_detachment]) ).
cnf(c9796,plain,
is_a_theorem(implies(implies(implies(implies(not(X7329),X7329),X7329),X7328),X7328)),
inference(resolution,[status(thm)],[c9661,cn_2]) ).
cnf(c14390,plain,
is_a_theorem(implies(implies(X8264,implies(not(X8265),X8265)),implies(X8264,X8265))),
inference(resolution,[status(thm)],[c9796,c114]) ).
cnf(c17403,plain,
( ~ is_a_theorem(implies(X8776,implies(not(X8775),X8775)))
| is_a_theorem(implies(X8776,X8775)) ),
inference(resolution,[status(thm)],[c14390,condensed_detachment]) ).
cnf(c18766,plain,
is_a_theorem(implies(implies(not(X8954),not(implies(X8955,X8955))),X8954)),
inference(resolution,[status(thm)],[c17403,c4298]) ).
cnf(c19847,plain,
$false,
inference(resolution,[status(thm)],[c18766,prove_cn_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL399-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 6 00:15:46 UTC 2026
% 0.09/0.36 % 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 '\('
% 0.12/0.42 (re.compile("\("), Token.OpenPar),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.42 (re.compile("\)"), Token.ClosePar),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.42 (re.compile("\["), Token.OpenSquare),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.42 (re.compile("~\|"), Token.Nor),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.42 (re.compile("\|"), Token.Or),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.42 (re.compile("\?"), Token.Existential),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.32/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 16.55/16.85 % Version: 1.5
% 16.55/16.85 % SZS status Unsatisfiable
% 16.55/16.85 % SZS output start CNFRefutation
% See solution above
% 16.55/16.85
% 16.55/16.85 % Initial clauses : 5
% 16.55/16.85 % Processed clauses : 575
% 16.55/16.85 % Factors computed : 0
% 16.55/16.85 % Resolvents computed: 19859
% 16.55/16.85 % Tautologies deleted: 1
% 16.55/16.85 % Forward subsumed : 2260
% 16.55/16.85 % Backward subsumed : 43
% 16.55/16.85 % -------- CPU Time ---------
% 16.55/16.85 % User time : 16.411 s
% 16.55/16.85 % System time : 0.081 s
% 16.55/16.85 % Total time : 16.492 s
%------------------------------------------------------------------------------