%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 12:57:51 PM UTC 2026
% Result : Unsatisfiable 0.54s 0.85s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 18 ( 0 equ; 6 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_lg_4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(lg_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X4,X7),equivalent(X4,X8)),X6),equivalent(equivalent(X7,X8),X6)),X5),X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X11,X9),equivalent(X11,X13)),X10),equivalent(equivalent(X9,X13),X10)),X12))
| is_a_theorem(X12) ),
inference(resolution,[status(thm)],[lg_3,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(equivalent(X15,X16),X14),equivalent(equivalent(X17,X16),equivalent(equivalent(X15,X17),X14)))),
inference(resolution,[status(thm)],[c0,lg_3]) ).
cnf(c3,plain,
is_a_theorem(equivalent(equivalent(X23,X26),equivalent(equivalent(equivalent(equivalent(X24,X22),equivalent(X24,X25)),X23),equivalent(equivalent(X22,X25),X26)))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c6,plain,
( ~ is_a_theorem(equivalent(X35,X36))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X34,X33),equivalent(X34,X32)),X35),equivalent(equivalent(X33,X32),X36))) ),
inference(resolution,[status(thm)],[c3,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X237,X239),equivalent(X237,X234)),equivalent(equivalent(equivalent(equivalent(equivalent(X238,X233),equivalent(X238,X240)),X236),equivalent(equivalent(X233,X240),X236)),X235)),equivalent(equivalent(X239,X234),X235))),
inference(resolution,[status(thm)],[c6,lg_3]) ).
cnf(c8,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X82,X81),equivalent(X82,X79)),equivalent(equivalent(equivalent(X80,X78),equivalent(X80,X83)),X84)),equivalent(equivalent(X81,X79),equivalent(equivalent(X78,X83),X84)))),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(c59,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X271,X268),equivalent(X271,X267)),equivalent(equivalent(equivalent(X273,X269),equivalent(X273,X272)),X270)))
| is_a_theorem(equivalent(equivalent(X268,X267),equivalent(equivalent(X269,X272),X270))) ),
inference(resolution,[status(thm)],[c8,condensed_detachment]) ).
cnf(c442,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X387,X382),equivalent(X387,X385)),X383),equivalent(equivalent(X382,X385),X384)),X386),equivalent(equivalent(X383,X384),X386))),
inference(resolution,[status(thm)],[c59,c15]) ).
cnf(c760,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X392,X389),X391),X388),equivalent(equivalent(equivalent(X392,X390),X391),equivalent(equivalent(X389,X390),X388)))),
inference(resolution,[status(thm)],[c442,c0]) ).
cnf(c779,plain,
$false,
inference(resolution,[status(thm)],[c760,prove_lg_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL098-1 : 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 : n008.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 22:22:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.43 (re.compile("\."), Token.FullStop),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.43 (re.compile("\("), Token.OpenPar),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.43 (re.compile("\)"), Token.ClosePar),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.43 (re.compile("\["), Token.OpenSquare),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("~\|"), Token.Nor),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("\|"), Token.Or),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.43 (re.compile("\?"), Token.Existential),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.50 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.50 """
% 0.21/0.50 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.50 """
% 0.31/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.59 """
% 0.54/0.85 % Version: 1.5
% 0.54/0.85 % SZS status Unsatisfiable
% 0.54/0.85 % SZS output start CNFRefutation
% See solution above
% 0.54/0.85
% 0.54/0.85 % Initial clauses : 3
% 0.54/0.85 % Processed clauses : 59
% 0.54/0.85 % Factors computed : 0
% 0.54/0.85 % Resolvents computed: 793
% 0.54/0.85 % Tautologies deleted: 0
% 0.54/0.85 % Forward subsumed : 9
% 0.54/0.85 % Backward subsumed : 0
% 0.54/0.85 % -------- CPU Time ---------
% 0.54/0.85 % User time : 0.452 s
% 0.54/0.85 % System time : 0.032 s
% 0.54/0.85 % Total time : 0.484 s
%------------------------------------------------------------------------------