%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL257-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 12:58:11 PM UTC 2026
% Result : Unsatisfiable 49.65s 50.03s
% Output : CNFRefutation 49.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 15 unt; 0 nHn; 6 RR)
% Number of literals : 28 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 59 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_xhn,negated_conjecture,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xhn) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(yql,axiom,
is_a_theorem(equivalent(equivalent(X6,X4),equivalent(equivalent(X5,X4),equivalent(X6,X5)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X9,X8))
| is_a_theorem(equivalent(equivalent(X7,X8),equivalent(X9,X7))) ),
inference(resolution,[status(thm)],[yql,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(X12,equivalent(equivalent(X10,X11),equivalent(X13,X10))),equivalent(equivalent(X13,X11),X12))),
inference(resolution,[status(thm)],[c0,yql]) ).
cnf(c2,plain,
( ~ is_a_theorem(equivalent(X15,equivalent(equivalent(X16,X17),equivalent(X14,X16))))
| is_a_theorem(equivalent(equivalent(X14,X17),X15)) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c5,plain,
is_a_theorem(equivalent(equivalent(X45,X47),equivalent(equivalent(X45,X44),equivalent(equivalent(X46,X47),equivalent(X44,X46))))),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(c27,plain,
is_a_theorem(equivalent(equivalent(equivalent(X79,X77),X78),equivalent(equivalent(X78,X79),X77))),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(c60,plain,
( ~ is_a_theorem(equivalent(equivalent(X138,X140),X139))
| is_a_theorem(equivalent(equivalent(X139,X138),X140)) ),
inference(resolution,[status(thm)],[c27,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(equivalent(equivalent(X19,X18),equivalent(X19,X18))),
inference(resolution,[status(thm)],[c2,yql]) ).
cnf(c8,plain,
is_a_theorem(equivalent(equivalent(X26,equivalent(X25,X27)),equivalent(equivalent(X25,X27),X26))),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(c9,plain,
is_a_theorem(equivalent(equivalent(X30,X28),equivalent(equivalent(X30,X29),equivalent(X29,X28)))),
inference(resolution,[status(thm)],[c8,c2]) ).
cnf(c12,plain,
is_a_theorem(equivalent(equivalent(X37,X37),equivalent(X36,X36))),
inference(resolution,[status(thm)],[c9,c2]) ).
cnf(c150,plain,
is_a_theorem(equivalent(equivalent(equivalent(X152,X152),X151),X151)),
inference(resolution,[status(thm)],[c60,c12]) ).
cnf(c191,plain,
is_a_theorem(equivalent(equivalent(X218,equivalent(X219,X219)),X218)),
inference(resolution,[status(thm)],[c150,c60]) ).
cnf(c337,plain,
( ~ is_a_theorem(equivalent(X348,equivalent(X349,X349)))
| is_a_theorem(X348) ),
inference(resolution,[status(thm)],[c191,condensed_detachment]) ).
cnf(c3,plain,
is_a_theorem(equivalent(equivalent(X35,equivalent(equivalent(X33,X31),X32)),equivalent(equivalent(X32,equivalent(equivalent(X34,X31),equivalent(X33,X34))),X35))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c16,plain,
( ~ is_a_theorem(equivalent(X123,equivalent(equivalent(X124,X125),X126)))
| is_a_theorem(equivalent(equivalent(X126,equivalent(equivalent(X127,X125),equivalent(X124,X127))),X123)) ),
inference(resolution,[status(thm)],[c3,condensed_detachment]) ).
cnf(c132,plain,
is_a_theorem(equivalent(equivalent(X1091,equivalent(equivalent(X1090,X1088),equivalent(X1089,X1090))),equivalent(equivalent(X1088,X1091),X1089))),
inference(resolution,[status(thm)],[c16,c27]) ).
cnf(c2489,plain,
is_a_theorem(equivalent(X11682,equivalent(equivalent(X11680,X11681),equivalent(equivalent(X11681,X11682),X11680)))),
inference(resolution,[status(thm)],[c132,c337]) ).
cnf(c52318,plain,
$false,
inference(resolution,[status(thm)],[c2489,prove_xhn]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL257-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.36 % Computer : n028.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 21:51:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.11/0.42 (re.compile("\."), Token.FullStop),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.11/0.42 (re.compile("\("), Token.OpenPar),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.11/0.42 (re.compile("\)"), Token.ClosePar),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.11/0.42 (re.compile("\["), Token.OpenSquare),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.11/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.11/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.42 (re.compile("~\|"), Token.Nor),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.43 (re.compile("\|"), Token.Or),
% 0.11/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.11/0.43 (re.compile("\?"), Token.Existential),
% 0.11/0.43 /export/starexec/sandbox/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/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.11/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.49 """
% 0.22/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.50 """
% 0.32/0.59 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 49.65/50.03 % Version: 1.5
% 49.65/50.03 % SZS status Unsatisfiable
% 49.65/50.03 % SZS output start CNFRefutation
% See solution above
% 49.65/50.03
% 49.65/50.03 % Initial clauses : 3
% 49.65/50.03 % Processed clauses : 970
% 49.65/50.03 % Factors computed : 0
% 49.65/50.03 % Resolvents computed: 52342
% 49.65/50.03 % Tautologies deleted: 2
% 49.65/50.03 % Forward subsumed : 3992
% 49.65/50.03 % Backward subsumed : 52
% 49.65/50.03 % -------- CPU Time ---------
% 49.65/50.03 % User time : 49.514 s
% 49.65/50.03 % System time : 0.136 s
% 49.65/50.03 % Total time : 49.650 s
%------------------------------------------------------------------------------