%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL010-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 12:57:41 PM UTC 2026
% Result : Unsatisfiable 8.67s 8.92s
% Output : CNFRefutation 8.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 3
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 5 RR)
% Number of literals : 27 ( 0 equ; 9 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_yql,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yql) ).
cnf(yqf,axiom,
is_a_theorem(equivalent(equivalent(X6,X5),equivalent(equivalent(X6,X4),equivalent(X4,X5)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yqf) ).
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(c0,plain,
( ~ is_a_theorem(equivalent(X8,X9))
| is_a_theorem(equivalent(equivalent(X8,X7),equivalent(X7,X9))) ),
inference(resolution,[status(thm)],[yqf,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(equivalent(X12,X13),X11),equivalent(X11,equivalent(equivalent(X12,X10),equivalent(X10,X13))))),
inference(resolution,[status(thm)],[c0,yqf]) ).
cnf(c3,plain,
( ~ is_a_theorem(equivalent(equivalent(X21,X22),X20))
| is_a_theorem(equivalent(X20,equivalent(equivalent(X21,X19),equivalent(X19,X22)))) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c7,plain,
is_a_theorem(equivalent(equivalent(equivalent(X25,X23),equivalent(X23,X26)),equivalent(equivalent(X25,X24),equivalent(X24,X26)))),
inference(resolution,[status(thm)],[c3,yqf]) ).
cnf(c11,plain,
( ~ is_a_theorem(equivalent(equivalent(X29,X28),equivalent(X28,X27)))
| is_a_theorem(equivalent(equivalent(X29,X30),equivalent(X30,X27))) ),
inference(resolution,[status(thm)],[c7,condensed_detachment]) ).
cnf(c15,plain,
is_a_theorem(equivalent(equivalent(equivalent(X35,X35),X34),equivalent(X34,equivalent(X36,X36)))),
inference(resolution,[status(thm)],[c11,c7]) ).
cnf(c22,plain,
( ~ is_a_theorem(equivalent(equivalent(X52,X52),X54))
| is_a_theorem(equivalent(X54,equivalent(X53,X53))) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c35,plain,
is_a_theorem(equivalent(equivalent(equivalent(X57,X55),equivalent(X55,X57)),equivalent(X56,X56))),
inference(resolution,[status(thm)],[c22,yqf]) ).
cnf(c43,plain,
is_a_theorem(equivalent(equivalent(X63,X63),equivalent(X64,X64))),
inference(resolution,[status(thm)],[c35,c22]) ).
cnf(c56,plain,
is_a_theorem(equivalent(equivalent(X66,X65),equivalent(X65,X66))),
inference(resolution,[status(thm)],[c43,c11]) ).
cnf(c66,plain,
( ~ is_a_theorem(equivalent(X92,X93))
| is_a_theorem(equivalent(X93,X92)) ),
inference(resolution,[status(thm)],[c56,condensed_detachment]) ).
cnf(c95,plain,
is_a_theorem(equivalent(equivalent(equivalent(X295,X294),equivalent(X294,X296)),equivalent(X295,X296))),
inference(resolution,[status(thm)],[c66,yqf]) ).
cnf(c42,plain,
is_a_theorem(equivalent(equivalent(equivalent(X217,X218),X219),equivalent(X219,equivalent(X218,X217)))),
inference(resolution,[status(thm)],[c35,c11]) ).
cnf(c291,plain,
( ~ is_a_theorem(equivalent(equivalent(X817,X815),X816))
| is_a_theorem(equivalent(X816,equivalent(X815,X817))) ),
inference(resolution,[status(thm)],[c42,condensed_detachment]) ).
cnf(c1705,plain,
is_a_theorem(equivalent(equivalent(X3735,X3737),equivalent(equivalent(X3736,X3737),equivalent(X3735,X3736)))),
inference(resolution,[status(thm)],[c291,c95]) ).
cnf(c15966,plain,
$false,
inference(resolution,[status(thm)],[c1705,prove_yql]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL010-1 : 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 : n013.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 12:39:20 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),
% 0.23/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.50 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.50 """
% 0.32/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 8.67/8.92 % Version: 1.5
% 8.67/8.92 % SZS status Unsatisfiable
% 8.67/8.92 % SZS output start CNFRefutation
% See solution above
% 8.67/8.92
% 8.67/8.92 % Initial clauses : 3
% 8.67/8.92 % Processed clauses : 371
% 8.67/8.92 % Factors computed : 0
% 8.67/8.92 % Resolvents computed: 16024
% 8.67/8.92 % Tautologies deleted: 1
% 8.67/8.92 % Forward subsumed : 1050
% 8.67/8.92 % Backward subsumed : 1
% 8.67/8.92 % -------- CPU Time ---------
% 8.67/8.92 % User time : 8.500 s
% 8.67/8.92 % System time : 0.055 s
% 8.67/8.92 % Total time : 8.555 s
%------------------------------------------------------------------------------