%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL120-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 12:57:54 PM UTC 2026
% Result : Unsatisfiable 80.55s 80.89s
% Output : CNFRefutation 80.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 30 ( 20 unt; 0 nHn; 7 RR)
% Number of literals : 41 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_xgj,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_xgj) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(qyf,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),equivalent(X6,X5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qyf) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(equivalent(X8,X9),equivalent(X8,X7)))
| is_a_theorem(equivalent(X7,X9)) ),
inference(resolution,[status(thm)],[qyf,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(X10,equivalent(X11,equivalent(X11,X10)))),
inference(resolution,[status(thm)],[c0,qyf]) ).
cnf(c3,plain,
( ~ is_a_theorem(X14)
| is_a_theorem(equivalent(X15,equivalent(X15,X14))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c7,plain,
is_a_theorem(equivalent(X33,equivalent(X33,equivalent(X34,equivalent(X35,equivalent(X35,X34)))))),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(c26,plain,
( ~ is_a_theorem(X85)
| is_a_theorem(equivalent(X85,equivalent(X87,equivalent(X86,equivalent(X86,X87))))) ),
inference(resolution,[status(thm)],[c7,condensed_detachment]) ).
cnf(c86,plain,
is_a_theorem(equivalent(equivalent(X700,equivalent(X701,equivalent(X701,X700))),equivalent(X702,equivalent(X703,equivalent(X703,X702))))),
inference(resolution,[status(thm)],[c26,c1]) ).
cnf(c8,plain,
is_a_theorem(equivalent(X45,equivalent(X45,equivalent(equivalent(equivalent(X46,X47),equivalent(X46,X44)),equivalent(X44,X47))))),
inference(resolution,[status(thm)],[c3,qyf]) ).
cnf(c35,plain,
( ~ is_a_theorem(X165)
| is_a_theorem(equivalent(X165,equivalent(equivalent(equivalent(X166,X168),equivalent(X166,X167)),equivalent(X167,X168)))) ),
inference(resolution,[status(thm)],[c8,condensed_detachment]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(X13,equivalent(X13,X12)),X12)),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c6,plain,
is_a_theorem(equivalent(X22,equivalent(X22,equivalent(equivalent(X23,equivalent(X23,X24)),X24)))),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(c14,plain,
( ~ is_a_theorem(X48)
| is_a_theorem(equivalent(X48,equivalent(equivalent(X50,equivalent(X50,X49)),X49))) ),
inference(resolution,[status(thm)],[c6,condensed_detachment]) ).
cnf(c42,plain,
is_a_theorem(equivalent(equivalent(X240,equivalent(X241,equivalent(X241,X240))),equivalent(equivalent(X238,equivalent(X238,X239)),X239))),
inference(resolution,[status(thm)],[c14,c1]) ).
cnf(c298,plain,
is_a_theorem(equivalent(X317,equivalent(X316,equivalent(X316,equivalent(X315,equivalent(X315,X317)))))),
inference(resolution,[status(thm)],[c42,c0]) ).
cnf(c387,plain,
is_a_theorem(equivalent(equivalent(X348,equivalent(X346,equivalent(X346,equivalent(X348,X347)))),X347)),
inference(resolution,[status(thm)],[c298,c0]) ).
cnf(c546,plain,
is_a_theorem(equivalent(equivalent(equivalent(X7240,equivalent(X7238,equivalent(X7238,equivalent(X7240,X7243)))),X7243),equivalent(equivalent(equivalent(X7241,X7242),equivalent(X7241,X7239)),equivalent(X7239,X7242)))),
inference(resolution,[status(thm)],[c387,c35]) ).
cnf(c14528,plain,
is_a_theorem(equivalent(equivalent(equivalent(X8004,equivalent(equivalent(X8004,X8006),X8005)),X8006),X8005)),
inference(resolution,[status(thm)],[c546,c0]) ).
cnf(c16209,plain,
( ~ is_a_theorem(equivalent(equivalent(X8451,equivalent(equivalent(X8451,X8450),X8449)),X8450))
| is_a_theorem(X8449) ),
inference(resolution,[status(thm)],[c14528,condensed_detachment]) ).
cnf(c17149,plain,
is_a_theorem(equivalent(equivalent(X9030,equivalent(X9032,equivalent(X9031,equivalent(X9031,X9032)))),X9030)),
inference(resolution,[status(thm)],[c16209,c86]) ).
cnf(c18719,plain,
( ~ is_a_theorem(equivalent(X9445,equivalent(X9443,equivalent(X9444,equivalent(X9444,X9443)))))
| is_a_theorem(X9445) ),
inference(resolution,[status(thm)],[c17149,condensed_detachment]) ).
cnf(c5,plain,
( ~ is_a_theorem(equivalent(X18,equivalent(X18,X19)))
| is_a_theorem(X19) ),
inference(resolution,[status(thm)],[c2,condensed_detachment]) ).
cnf(c9,plain,
is_a_theorem(equivalent(X20,X20)),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(c213,plain,
is_a_theorem(equivalent(equivalent(X2183,X2183),equivalent(equivalent(equivalent(X2181,X2182),equivalent(X2181,X2180)),equivalent(X2180,X2182)))),
inference(resolution,[status(thm)],[c35,c9]) ).
cnf(c3691,plain,
is_a_theorem(equivalent(equivalent(X2197,X2195),equivalent(equivalent(X2196,X2195),equivalent(X2196,X2197)))),
inference(resolution,[status(thm)],[c213,c0]) ).
cnf(c3721,plain,
( ~ is_a_theorem(equivalent(X2243,X2242))
| is_a_theorem(equivalent(equivalent(X2241,X2242),equivalent(X2241,X2243))) ),
inference(resolution,[status(thm)],[c3691,condensed_detachment]) ).
cnf(c3859,plain,
is_a_theorem(equivalent(equivalent(X17473,equivalent(equivalent(X17474,X17475),equivalent(X17474,X17476))),equivalent(X17473,equivalent(X17476,X17475)))),
inference(resolution,[status(thm)],[c3721,c3691]) ).
cnf(c44328,plain,
is_a_theorem(equivalent(X17506,equivalent(equivalent(X17507,equivalent(X17505,X17506)),equivalent(X17507,X17505)))),
inference(resolution,[status(thm)],[c3859,c18719]) ).
cnf(c44461,plain,
$false,
inference(resolution,[status(thm)],[c44328,prove_xgj]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL120-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 20:42:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.11/0.43 (re.compile("\."), Token.FullStop),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.11/0.43 (re.compile("\("), Token.OpenPar),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.11/0.43 (re.compile("\)"), Token.ClosePar),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.11/0.43 (re.compile("\["), Token.OpenSquare),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.11/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.43 (re.compile("~\|"), Token.Nor),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.43 (re.compile("\|"), Token.Or),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.11/0.43 (re.compile("\?"), Token.Existential),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.11/0.43 (re.compile("\s+"), Token.WhiteSpace),
% 0.11/0.43 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.11/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.50 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.22/0.50 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.31/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.59 """
% 80.55/80.89 % Version: 1.5
% 80.55/80.89 % SZS status Unsatisfiable
% 80.55/80.89 % SZS output start CNFRefutation
% See solution above
% 80.55/80.89
% 80.55/80.89 % Initial clauses : 3
% 80.55/80.89 % Processed clauses : 991
% 80.55/80.89 % Factors computed : 0
% 80.55/80.89 % Resolvents computed: 44496
% 80.55/80.89 % Tautologies deleted: 1
% 80.55/80.89 % Forward subsumed : 4652
% 80.55/80.89 % Backward subsumed : 0
% 80.55/80.89 % -------- CPU Time ---------
% 80.55/80.89 % User time : 80.386 s
% 80.55/80.89 % System time : 0.129 s
% 80.55/80.89 % Total time : 80.515 s
%------------------------------------------------------------------------------