%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL065-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 3.45s 3.74s
% Output : CNFRefutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 30 ( 21 unt; 0 nHn; 10 RR)
% Number of literals : 40 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 66 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_2,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X4,X5))
| ~ is_a_theorem(X4)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_35,axiom,
is_a_theorem(implies(implies(X14,implies(X15,X16)),implies(implies(X14,X15),implies(X14,X16)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X30,implies(X29,X31)))
| is_a_theorem(implies(implies(X30,X29),implies(X30,X31))) ),
inference(resolution,[status(thm)],[cn_35,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(X108,implies(X107,X109)),implies(X108,X107)),implies(implies(X108,implies(X107,X109)),implies(X108,X109)))),
inference(resolution,[status(thm)],[c4,cn_35]) ).
cnf(cn_18,axiom,
is_a_theorem(implies(X2,implies(X3,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).
cnf(c0,plain,
( ~ is_a_theorem(X6)
| is_a_theorem(implies(X7,X6)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_18]) ).
cnf(c1,plain,
is_a_theorem(implies(X8,implies(X9,implies(X10,X9)))),
inference(resolution,[status(thm)],[c0,cn_18]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(X32,X33),implies(X32,X32))),
inference(resolution,[status(thm)],[c4,cn_18]) ).
cnf(c15,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(X35,X35)) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c19,plain,
is_a_theorem(implies(X36,X36)),
inference(resolution,[status(thm)],[c15,c1]) ).
cnf(c27,plain,
is_a_theorem(implies(X46,implies(X45,X45))),
inference(resolution,[status(thm)],[c19,c0]) ).
cnf(c33,plain,
is_a_theorem(implies(X58,implies(X59,implies(X60,X60)))),
inference(resolution,[status(thm)],[c27,c0]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(implies(X156,X157),X156),implies(implies(X156,X157),X157))),
inference(resolution,[status(thm)],[c19,c4]) ).
cnf(c118,plain,
( ~ is_a_theorem(implies(implies(X261,X262),X261))
| is_a_theorem(implies(implies(X261,X262),X262)) ),
inference(resolution,[status(thm)],[c26,condensed_detachment]) ).
cnf(c188,plain,
is_a_theorem(implies(implies(implies(X315,implies(X316,X316)),X314),X314)),
inference(resolution,[status(thm)],[c118,c33]) ).
cnf(c248,plain,
( ~ is_a_theorem(implies(implies(X447,implies(X448,X448)),X446))
| is_a_theorem(X446) ),
inference(resolution,[status(thm)],[c188,condensed_detachment]) ).
cnf(c394,plain,
is_a_theorem(implies(implies(X638,implies(X638,X637)),implies(X638,X637))),
inference(resolution,[status(thm)],[c248,c12]) ).
cnf(c522,plain,
( ~ is_a_theorem(implies(X689,implies(X689,X688)))
| is_a_theorem(implies(X689,X688)) ),
inference(resolution,[status(thm)],[c394,condensed_detachment]) ).
cnf(cn_49,axiom,
is_a_theorem(implies(implies(not(X25),not(X26)),implies(X26,X25))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_49) ).
cnf(c9,plain,
is_a_theorem(implies(X70,implies(implies(not(X72),not(X71)),implies(X71,X72)))),
inference(resolution,[status(thm)],[cn_49,c0]) ).
cnf(c44,plain,
is_a_theorem(implies(implies(X319,implies(not(X317),not(X318))),implies(X319,implies(X318,X317)))),
inference(resolution,[status(thm)],[c9,c4]) ).
cnf(c181,plain,
is_a_theorem(implies(implies(implies(X310,implies(X311,X310)),X309),X309)),
inference(resolution,[status(thm)],[c118,c1]) ).
cnf(c240,plain,
( ~ is_a_theorem(implies(implies(X366,implies(X365,X366)),X367))
| is_a_theorem(X367) ),
inference(resolution,[status(thm)],[c181,condensed_detachment]) ).
cnf(c310,plain,
is_a_theorem(implies(not(X381),implies(X381,X382))),
inference(resolution,[status(thm)],[c240,c44]) ).
cnf(c334,plain,
is_a_theorem(implies(implies(not(X775),X775),implies(not(X775),X776))),
inference(resolution,[status(thm)],[c310,c4]) ).
cnf(c255,plain,
( ~ is_a_theorem(implies(X2864,implies(not(X2866),not(X2865))))
| is_a_theorem(implies(X2864,implies(X2865,X2866))) ),
inference(resolution,[status(thm)],[c44,condensed_detachment]) ).
cnf(c5843,plain,
is_a_theorem(implies(implies(not(X2906),X2906),implies(X2907,X2906))),
inference(resolution,[status(thm)],[c255,c334]) ).
cnf(c5925,plain,
is_a_theorem(implies(implies(not(X2914),X2914),X2914)),
inference(resolution,[status(thm)],[c5843,c522]) ).
cnf(c5964,plain,
$false,
inference(resolution,[status(thm)],[c5925,prove_cn_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL065-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 23:28:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.42 (re.compile("\."), Token.FullStop),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.42 (re.compile("\("), Token.OpenPar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.42 (re.compile("\)"), Token.ClosePar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.42 (re.compile("\["), Token.OpenSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("~\|"), Token.Nor),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.31/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.58 """
% 3.45/3.74 % Version: 1.5
% 3.45/3.74 % SZS status Unsatisfiable
% 3.45/3.74 % SZS output start CNFRefutation
% See solution above
% 3.45/3.74
% 3.45/3.74 % Initial clauses : 5
% 3.45/3.74 % Processed clauses : 276
% 3.45/3.74 % Factors computed : 0
% 3.45/3.74 % Resolvents computed: 5985
% 3.45/3.74 % Tautologies deleted: 1
% 3.45/3.74 % Forward subsumed : 727
% 3.45/3.74 % Backward subsumed : 2
% 3.45/3.74 % -------- CPU Time ---------
% 3.45/3.74 % User time : 3.340 s
% 3.45/3.74 % System time : 0.039 s
% 3.45/3.74 % Total time : 3.379 s
%------------------------------------------------------------------------------