%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL036-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:57:43 PM UTC 2026
% Result : Unsatisfiable 5.46s 5.72s
% Output : CNFRefutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of clauses : 31 ( 21 unt; 0 nHn; 5 RR)
% Number of literals : 42 ( 0 equ; 12 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 : 104 ( 55 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c0_5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_5) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0_CAMeredith,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X4,X8),implies(X5,falsehood)),X6),X7),implies(implies(X7,X4),implies(X5,X4)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_CAMeredith) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X12,X11),implies(X10,falsehood)),X13),X9))
| is_a_theorem(implies(implies(X9,X12),implies(X10,X12))) ),
inference(resolution,[status(thm)],[c0_CAMeredith,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(implies(X15,X18),implies(X16,X18)),implies(X18,X17)),implies(X14,implies(X18,X17)))),
inference(resolution,[status(thm)],[c0,c0_CAMeredith]) ).
cnf(c3,plain,
is_a_theorem(implies(implies(implies(X38,implies(falsehood,X37)),X39),implies(X36,X39))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(X42,X43),X44),implies(falsehood,X44))),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(c24,plain,
is_a_theorem(implies(implies(implies(falsehood,X186),X187),implies(X185,X187))),
inference(resolution,[status(thm)],[c15,c0]) ).
cnf(c2,plain,
( ~ is_a_theorem(implies(implies(implies(X22,X23),implies(X21,X23)),implies(X23,X19)))
| is_a_theorem(implies(X20,implies(X23,X19))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c128,plain,
is_a_theorem(implies(X188,implies(X190,implies(X189,X190)))),
inference(resolution,[status(thm)],[c24,c2]) ).
cnf(c131,plain,
( ~ is_a_theorem(X196)
| is_a_theorem(implies(X195,implies(X194,X195))) ),
inference(resolution,[status(thm)],[c128,condensed_detachment]) ).
cnf(c135,plain,
is_a_theorem(implies(X198,implies(X197,X198))),
inference(resolution,[status(thm)],[c131,c24]) ).
cnf(c150,plain,
( ~ is_a_theorem(X232)
| is_a_theorem(implies(X231,X232)) ),
inference(resolution,[status(thm)],[c135,condensed_detachment]) ).
cnf(c13,plain,
( ~ is_a_theorem(implies(implies(X86,implies(falsehood,X85)),X87))
| is_a_theorem(implies(X84,X87)) ),
inference(resolution,[status(thm)],[c3,condensed_detachment]) ).
cnf(c59,plain,
is_a_theorem(implies(X397,implies(implies(implies(falsehood,X394),X396),implies(X395,X396)))),
inference(resolution,[status(thm)],[c13,c0_CAMeredith]) ).
cnf(c210,plain,
is_a_theorem(implies(X958,implies(X959,implies(implies(implies(falsehood,X956),X955),implies(X957,X955))))),
inference(resolution,[status(thm)],[c59,c150]) ).
cnf(c152,plain,
is_a_theorem(implies(implies(implies(X1076,implies(implies(implies(X1077,X1075),implies(X1074,falsehood)),X1078)),X1077),implies(X1074,X1077))),
inference(resolution,[status(thm)],[c135,c0]) ).
cnf(c416,plain,
is_a_theorem(implies(implies(implies(X1994,X1996),X1997),implies(implies(implies(X1996,X1995),implies(X1994,falsehood)),X1997))),
inference(resolution,[status(thm)],[c152,c0]) ).
cnf(c717,plain,
( ~ is_a_theorem(implies(implies(X3416,X3417),X3415))
| is_a_theorem(implies(implies(implies(X3417,X3418),implies(X3416,falsehood)),X3415)) ),
inference(resolution,[status(thm)],[c416,condensed_detachment]) ).
cnf(c1211,plain,
is_a_theorem(implies(implies(implies(X3429,X3428),implies(X3431,falsehood)),implies(X3430,implies(X3431,X3429)))),
inference(resolution,[status(thm)],[c717,c135]) ).
cnf(c1231,plain,
( ~ is_a_theorem(implies(implies(X3584,X3586),implies(X3585,falsehood)))
| is_a_theorem(implies(X3583,implies(X3585,X3584))) ),
inference(resolution,[status(thm)],[c1211,condensed_detachment]) ).
cnf(c1342,plain,
is_a_theorem(implies(X3671,implies(implies(implies(X3670,X3668),implies(X3669,falsehood)),implies(X3669,X3670)))),
inference(resolution,[status(thm)],[c1231,c416]) ).
cnf(c1383,plain,
( ~ is_a_theorem(X3688)
| is_a_theorem(implies(implies(implies(X3686,X3685),implies(X3687,falsehood)),implies(X3687,X3686))) ),
inference(resolution,[status(thm)],[c1342,condensed_detachment]) ).
cnf(c1397,plain,
is_a_theorem(implies(implies(implies(X3696,X3695),implies(X3697,falsehood)),implies(X3697,X3696))),
inference(resolution,[status(thm)],[c1383,c210]) ).
cnf(c1488,plain,
( ~ is_a_theorem(implies(implies(X6619,X6618),implies(X6617,falsehood)))
| is_a_theorem(implies(X6617,X6619)) ),
inference(resolution,[status(thm)],[c1397,condensed_detachment]) ).
cnf(c1494,plain,
is_a_theorem(implies(implies(implies(X3716,implies(X3718,X3717)),X3718),implies(X3715,X3718))),
inference(resolution,[status(thm)],[c1397,c0]) ).
cnf(c1518,plain,
is_a_theorem(implies(implies(implies(X3727,X3726),X3728),implies(X3726,X3728))),
inference(resolution,[status(thm)],[c1494,c0]) ).
cnf(c1533,plain,
is_a_theorem(implies(implies(implies(implies(X6730,falsehood),X6731),X6732),implies(X6730,X6732))),
inference(resolution,[status(thm)],[c1518,c0]) ).
cnf(c4044,plain,
is_a_theorem(implies(X6751,implies(implies(X6751,falsehood),X6750))),
inference(resolution,[status(thm)],[c1533,c1488]) ).
cnf(c4067,plain,
is_a_theorem(implies(implies(implies(X6763,X6764),falsehood),X6763)),
inference(resolution,[status(thm)],[c4044,c1488]) ).
cnf(c4218,plain,
$false,
inference(resolution,[status(thm)],[c4067,prove_c0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL036-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n006.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 06:37:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.45 (re.compile("\."), Token.FullStop),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.45 (re.compile("\("), Token.OpenPar),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.45 (re.compile("\)"), Token.ClosePar),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.45 (re.compile("\["), Token.OpenSquare),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.45 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.45 (re.compile("~\|"), Token.Nor),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.45 (re.compile("\|"), Token.Or),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.45 (re.compile("\?"), Token.Existential),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.45 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.45 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.45 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.26/0.55 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.26/0.55 """
% 0.26/0.55 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.26/0.55 """
% 0.41/0.70 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.41/0.70 """
% 5.46/5.72 % Version: 1.5
% 5.46/5.72 % SZS status Unsatisfiable
% 5.46/5.72 % SZS output start CNFRefutation
% See solution above
% 5.46/5.72
% 5.46/5.72 % Initial clauses : 3
% 5.46/5.72 % Processed clauses : 231
% 5.46/5.72 % Factors computed : 0
% 5.46/5.72 % Resolvents computed: 4230
% 5.46/5.72 % Tautologies deleted: 1
% 5.46/5.72 % Forward subsumed : 1401
% 5.46/5.72 % Backward subsumed : 62
% 5.46/5.72 % -------- CPU Time ---------
% 5.46/5.72 % User time : 5.318 s
% 5.46/5.72 % System time : 0.040 s
% 5.46/5.72 % Total time : 5.358 s
%------------------------------------------------------------------------------