%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL118-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n001.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 0.57s 0.89s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 14 unt; 0 nHn; 5 RR)
% Number of literals : 29 ( 0 equ; 9 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 : 64 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_yqm,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yqm) ).
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(wo,axiom,
is_a_theorem(equivalent(equivalent(X5,equivalent(X6,X4)),equivalent(X4,equivalent(X6,X5)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wo) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X8,equivalent(X7,X9)))
| is_a_theorem(equivalent(X9,equivalent(X7,X8))) ),
inference(resolution,[status(thm)],[wo,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(X10,X11),equivalent(X12,equivalent(X11,equivalent(X10,X12))))),
inference(resolution,[status(thm)],[c0,wo]) ).
cnf(c2,plain,
( ~ is_a_theorem(equivalent(X13,X14))
| is_a_theorem(equivalent(X15,equivalent(X14,equivalent(X13,X15)))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(equivalent(X19,equivalent(equivalent(X22,equivalent(X21,equivalent(X20,X22))),equivalent(equivalent(X20,X21),X19)))),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(c7,plain,
is_a_theorem(equivalent(equivalent(equivalent(X31,X34),X32),equivalent(equivalent(X33,equivalent(X34,equivalent(X31,X33))),X32))),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(c18,plain,
( ~ is_a_theorem(equivalent(equivalent(X49,X51),X48))
| is_a_theorem(equivalent(equivalent(X50,equivalent(X51,equivalent(X49,X50))),X48)) ),
inference(resolution,[status(thm)],[c7,condensed_detachment]) ).
cnf(c35,plain,
is_a_theorem(equivalent(equivalent(X95,equivalent(X94,equivalent(X93,X95))),equivalent(X96,equivalent(X94,equivalent(X93,X96))))),
inference(resolution,[status(thm)],[c18,c1]) ).
cnf(c91,plain,
( ~ is_a_theorem(equivalent(X156,equivalent(X157,equivalent(X158,X156))))
| is_a_theorem(equivalent(X155,equivalent(X157,equivalent(X158,X155)))) ),
inference(resolution,[status(thm)],[c35,condensed_detachment]) ).
cnf(c200,plain,
is_a_theorem(equivalent(X165,equivalent(X166,equivalent(X166,X165)))),
inference(resolution,[status(thm)],[c91,c1]) ).
cnf(c233,plain,
is_a_theorem(equivalent(equivalent(X173,X174),equivalent(X173,X174))),
inference(resolution,[status(thm)],[c200,c0]) ).
cnf(c262,plain,
is_a_theorem(equivalent(equivalent(X213,equivalent(X212,equivalent(X211,X213))),equivalent(X211,X212))),
inference(resolution,[status(thm)],[c233,c18]) ).
cnf(c317,plain,
( ~ is_a_theorem(equivalent(X269,equivalent(X271,equivalent(X270,X269))))
| is_a_theorem(equivalent(X270,X271)) ),
inference(resolution,[status(thm)],[c262,condensed_detachment]) ).
cnf(c5,plain,
is_a_theorem(equivalent(X23,equivalent(equivalent(X24,equivalent(X26,X25)),equivalent(equivalent(X25,equivalent(X26,X24)),X23)))),
inference(resolution,[status(thm)],[c2,wo]) ).
cnf(c9,plain,
( ~ is_a_theorem(X41)
| is_a_theorem(equivalent(equivalent(X43,equivalent(X42,X40)),equivalent(equivalent(X40,equivalent(X42,X43)),X41))) ),
inference(resolution,[status(thm)],[c5,condensed_detachment]) ).
cnf(c24,plain,
is_a_theorem(equivalent(equivalent(X288,equivalent(X287,X290)),equivalent(equivalent(X290,equivalent(X287,X288)),equivalent(equivalent(X291,X286),equivalent(X289,equivalent(X286,equivalent(X291,X289))))))),
inference(resolution,[status(thm)],[c9,c1]) ).
cnf(c579,plain,
is_a_theorem(equivalent(equivalent(X585,X587),equivalent(equivalent(X585,X586),equivalent(X587,X586)))),
inference(resolution,[status(thm)],[c24,c317]) ).
cnf(c1208,plain,
is_a_theorem(equivalent(equivalent(X1132,X1134),equivalent(equivalent(X1133,X1134),equivalent(X1133,X1132)))),
inference(resolution,[status(thm)],[c579,c0]) ).
cnf(c2771,plain,
$false,
inference(resolution,[status(thm)],[c1208,prove_yqm]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL118-1 : 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 : n001.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 : Sat Sep 5 15:21:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.40 (re.compile("\."), Token.FullStop),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.40 (re.compile("\("), Token.OpenPar),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.40 (re.compile("\)"), Token.ClosePar),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.40 (re.compile("\["), Token.OpenSquare),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.40 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.40 (re.compile("~\|"), Token.Nor),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.40 (re.compile("\|"), Token.Or),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.40 (re.compile("\?"), Token.Existential),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.10/0.40 (re.compile("\s+"), Token.WhiteSpace),
% 0.10/0.40 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.40 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.10/0.43 """
% 0.10/0.43 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.10/0.43 """
% 0.24/0.47 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.47 """
% 0.57/0.89 % Version: 1.5
% 0.57/0.89 % SZS status Unsatisfiable
% 0.57/0.89 % SZS output start CNFRefutation
% See solution above
% 0.57/0.89
% 0.57/0.89 % Initial clauses : 3
% 0.57/0.89 % Processed clauses : 150
% 0.57/0.89 % Factors computed : 0
% 0.57/0.89 % Resolvents computed: 2790
% 0.57/0.89 % Tautologies deleted: 3
% 0.57/0.89 % Forward subsumed : 215
% 0.57/0.89 % Backward subsumed : 10
% 0.57/0.89 % -------- CPU Time ---------
% 0.57/0.89 % User time : 0.511 s
% 0.57/0.89 % System time : 0.014 s
% 0.57/0.89 % Total time : 0.525 s
%------------------------------------------------------------------------------