%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL402-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 53.80s 54.11s
% Output : CNFRefutation 53.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of clauses : 63 ( 46 unt; 0 nHn; 11 RR)
% Number of literals : 81 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 161 ( 53 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_68,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,not(y))),y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_68) ).
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(X22,X23))
| is_a_theorem(implies(implies(X23,X21),implies(X22,X21))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(implies(X112,X113),implies(X110,X113)),X111),implies(implies(X110,X112),X111))),
inference(resolution,[status(thm)],[c4,cn_1]) ).
cnf(c114,plain,
( ~ is_a_theorem(implies(implies(implies(X1410,X1412),implies(X1409,X1412)),X1411))
| is_a_theorem(implies(implies(X1409,X1410),X1411)) ),
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(c13,plain,
is_a_theorem(implies(implies(X32,X33),implies(implies(not(X32),X32),X33))),
inference(resolution,[status(thm)],[c4,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(c12,plain,
is_a_theorem(implies(implies(implies(not(X30),X29),X31),implies(X30,X31))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(implies(not(X36),X35),X34))
| is_a_theorem(implies(X36,X34)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X9)
| is_a_theorem(implies(not(X9),X8)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c24,plain,
is_a_theorem(implies(X41,X41)),
inference(resolution,[status(thm)],[c17,cn_2]) ).
cnf(c32,plain,
is_a_theorem(implies(not(implies(X43,X43)),X44)),
inference(resolution,[status(thm)],[c24,c1]) ).
cnf(c38,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,[status(thm)],[c32,c4]) ).
cnf(c122,plain,
is_a_theorem(implies(X117,implies(not(implies(X118,X118)),X119))),
inference(resolution,[status(thm)],[c38,c17]) ).
cnf(c131,plain,
is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X216),X217),implies(X214,X217))),
inference(resolution,[status(thm)],[c122,c4]) ).
cnf(c243,plain,
( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X218),X219))
| is_a_theorem(implies(X220,X219)) ),
inference(resolution,[status(thm)],[c131,condensed_detachment]) ).
cnf(c250,plain,
is_a_theorem(implies(X223,implies(X222,X222))),
inference(resolution,[status(thm)],[c243,cn_2]) ).
cnf(c270,plain,
is_a_theorem(implies(implies(implies(X269,X269),X270),implies(X268,X270))),
inference(resolution,[status(thm)],[c250,c4]) ).
cnf(c300,plain,
( ~ is_a_theorem(implies(implies(X272,X272),X273))
| is_a_theorem(implies(X271,X273)) ),
inference(resolution,[status(thm)],[c270,condensed_detachment]) ).
cnf(c309,plain,
is_a_theorem(implies(X303,implies(implies(not(X304),X304),X304))),
inference(resolution,[status(thm)],[c300,c13]) ).
cnf(c364,plain,
is_a_theorem(implies(implies(implies(implies(not(X844),X844),X844),X843),implies(X842,X843))),
inference(resolution,[status(thm)],[c309,c4]) ).
cnf(c1153,plain,
is_a_theorem(implies(implies(X2058,implies(not(X2059),X2059)),implies(X2057,implies(X2058,X2059)))),
inference(resolution,[status(thm)],[c114,c364]) ).
cnf(c2075,plain,
( ~ is_a_theorem(implies(X2388,implies(not(X2389),X2389)))
| is_a_theorem(implies(X2390,implies(X2388,X2389))) ),
inference(resolution,[status(thm)],[c1153,condensed_detachment]) ).
cnf(c2078,plain,
is_a_theorem(implies(implies(not(X4567),X4566),implies(X4568,implies(implies(X4566,X4567),X4567)))),
inference(resolution,[status(thm)],[c1153,c114]) ).
cnf(c3,plain,
is_a_theorem(implies(not(implies(X17,implies(not(X17),X16))),X18)),
inference(resolution,[status(thm)],[c1,cn_3]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(X81,X84),implies(not(implies(X82,implies(not(X82),X83))),X84))),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(c72,plain,
is_a_theorem(implies(X159,implies(not(implies(X161,implies(not(X161),X158))),X160))),
inference(resolution,[status(thm)],[c14,c17]) ).
cnf(c205,plain,
is_a_theorem(implies(implies(implies(not(implies(X2995,implies(not(X2995),X2994))),X2993),X2991),implies(X2992,X2991))),
inference(resolution,[status(thm)],[c72,c4]) ).
cnf(c5756,plain,
is_a_theorem(implies(X4581,implies(X4580,implies(implies(X4582,X4581),X4581)))),
inference(resolution,[status(thm)],[c2078,c17]) ).
cnf(c5779,plain,
is_a_theorem(implies(X4596,implies(X4594,implies(implies(X4595,X4594),X4594)))),
inference(resolution,[status(thm)],[c5756,c2075]) ).
cnf(c6051,plain,
is_a_theorem(implies(X4597,implies(implies(X4598,X4597),X4597))),
inference(resolution,[status(thm)],[c5779,c0]) ).
cnf(c6100,plain,
is_a_theorem(implies(implies(implies(implies(X4818,X4819),X4819),X4820),implies(X4819,X4820))),
inference(resolution,[status(thm)],[c6051,c4]) ).
cnf(c6728,plain,
( ~ is_a_theorem(implies(implies(implies(X4941,X4940),X4940),X4942))
| is_a_theorem(implies(X4940,X4942)) ),
inference(resolution,[status(thm)],[c6100,condensed_detachment]) ).
cnf(c6857,plain,
is_a_theorem(implies(X4952,implies(X4953,X4952))),
inference(resolution,[status(thm)],[c6728,c205]) ).
cnf(c7011,plain,
is_a_theorem(implies(implies(implies(X5317,X5316),X5318),implies(X5316,X5318))),
inference(resolution,[status(thm)],[c6857,c4]) ).
cnf(c8174,plain,
( ~ is_a_theorem(implies(implies(X5433,X5435),X5434))
| is_a_theorem(implies(X5435,X5434)) ),
inference(resolution,[status(thm)],[c7011,condensed_detachment]) ).
cnf(c8440,plain,
is_a_theorem(implies(X5730,implies(X5729,implies(implies(X5730,X5731),X5731)))),
inference(resolution,[status(thm)],[c8174,c2078]) ).
cnf(c9415,plain,
is_a_theorem(implies(X5837,implies(X5836,implies(implies(X5836,X5838),X5838)))),
inference(resolution,[status(thm)],[c8440,c2075]) ).
cnf(c9945,plain,
is_a_theorem(implies(X5839,implies(implies(X5839,X5840),X5840))),
inference(resolution,[status(thm)],[c9415,c0]) ).
cnf(c9989,plain,
( ~ is_a_theorem(X5862)
| is_a_theorem(implies(implies(X5862,X5863),X5863)) ),
inference(resolution,[status(thm)],[c9945,condensed_detachment]) ).
cnf(c10330,plain,
is_a_theorem(implies(implies(implies(implies(not(X7433),X7433),X7433),X7434),X7434)),
inference(resolution,[status(thm)],[c9989,cn_2]) ).
cnf(c13842,plain,
is_a_theorem(implies(implies(X8560,implies(not(X8559),X8559)),implies(X8560,X8559))),
inference(resolution,[status(thm)],[c10330,c114]) ).
cnf(c16759,plain,
( ~ is_a_theorem(implies(X8921,implies(not(X8920),X8920)))
| is_a_theorem(implies(X8921,X8920)) ),
inference(resolution,[status(thm)],[c13842,condensed_detachment]) ).
cnf(c1162,plain,
is_a_theorem(implies(implies(X1479,not(X1481)),implies(X1481,implies(X1479,X1480)))),
inference(resolution,[status(thm)],[c114,c12]) ).
cnf(c1443,plain,
( ~ is_a_theorem(implies(X1558,not(X1556)))
| is_a_theorem(implies(X1556,implies(X1558,X1557))) ),
inference(resolution,[status(thm)],[c1162,condensed_detachment]) ).
cnf(c16788,plain,
is_a_theorem(implies(implies(not(X9290),X9289),implies(implies(X9289,X9290),X9290))),
inference(resolution,[status(thm)],[c13842,c114]) ).
cnf(c18574,plain,
( ~ is_a_theorem(implies(not(X9942),X9941))
| is_a_theorem(implies(implies(X9941,X9942),X9942)) ),
inference(resolution,[status(thm)],[c16788,condensed_detachment]) ).
cnf(c19,plain,
is_a_theorem(implies(implies(implies(X150,X147),X148),implies(implies(implies(not(X150),X149),X147),X148))),
inference(resolution,[status(thm)],[c12,c4]) ).
cnf(c721,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1019),X1019),X1019),X1018))
| is_a_theorem(implies(X1017,X1018)) ),
inference(resolution,[status(thm)],[c364,condensed_detachment]) ).
cnf(c858,plain,
is_a_theorem(implies(X1126,implies(implies(implies(not(not(X1125)),X1127),X1125),X1125))),
inference(resolution,[status(thm)],[c721,c19]) ).
cnf(c930,plain,
is_a_theorem(implies(implies(implies(not(not(X1128)),X1129),X1128),X1128)),
inference(resolution,[status(thm)],[c858,c0]) ).
cnf(c10004,plain,
is_a_theorem(implies(implies(implies(implies(X12851,X12852),X12852),X12853),implies(X12851,X12853))),
inference(resolution,[status(thm)],[c9945,c4]) ).
cnf(c28491,plain,
( ~ is_a_theorem(implies(implies(implies(X16384,X16382),X16382),X16383))
| is_a_theorem(implies(X16384,X16383)) ),
inference(resolution,[status(thm)],[c10004,condensed_detachment]) ).
cnf(c39366,plain,
is_a_theorem(implies(not(not(X16407)),X16407)),
inference(resolution,[status(thm)],[c28491,c930]) ).
cnf(c39667,plain,
is_a_theorem(implies(implies(X16648,not(X16648)),not(X16648))),
inference(resolution,[status(thm)],[c39366,c18574]) ).
cnf(c41283,plain,
is_a_theorem(implies(X16650,not(not(X16650)))),
inference(resolution,[status(thm)],[c39667,c17]) ).
cnf(c41351,plain,
is_a_theorem(implies(X16809,not(not(implies(X16810,X16809))))),
inference(resolution,[status(thm)],[c41283,c8174]) ).
cnf(c43753,plain,
is_a_theorem(implies(not(implies(X17232,X17231)),implies(X17231,X17230))),
inference(resolution,[status(thm)],[c41351,c1443]) ).
cnf(c47361,plain,
is_a_theorem(implies(not(implies(X17261,not(X17262))),X17262)),
inference(resolution,[status(thm)],[c43753,c16759]) ).
cnf(c47599,plain,
$false,
inference(resolution,[status(thm)],[c47361,prove_cn_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL402-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 19:56:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.09/0.42 (re.compile("\."), Token.FullStop),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.09/0.42 (re.compile("\("), Token.OpenPar),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.09/0.42 (re.compile("\)"), Token.ClosePar),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.09/0.42 (re.compile("\["), Token.OpenSquare),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.09/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.42 (re.compile("~\|"), Token.Nor),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.42 (re.compile("\|"), Token.Or),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.09/0.42 (re.compile("\?"), Token.Existential),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.09/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.09/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.21/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.31/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.58 """
% 53.80/54.11 % Version: 1.5
% 53.80/54.11 % SZS status Unsatisfiable
% 53.80/54.11 % SZS output start CNFRefutation
% See solution above
% 53.80/54.11
% 53.80/54.11 % Initial clauses : 5
% 53.80/54.11 % Processed clauses : 950
% 53.80/54.11 % Factors computed : 0
% 53.80/54.11 % Resolvents computed: 47600
% 53.80/54.11 % Tautologies deleted: 1
% 53.80/54.11 % Forward subsumed : 4447
% 53.80/54.11 % Backward subsumed : 148
% 53.80/54.11 % -------- CPU Time ---------
% 53.80/54.11 % User time : 53.601 s
% 53.80/54.11 % System time : 0.144 s
% 53.80/54.11 % Total time : 53.745 s
%------------------------------------------------------------------------------