%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL008-1 : 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 12:57:41 PM UTC 2026
% Result : Unsatisfiable 0.38s 0.63s
% Output : CNFRefutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 4 RR)
% Number of literals : 19 ( 0 equ; 6 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ec_4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ec_4) ).
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(yql,axiom,
is_a_theorem(equivalent(equivalent(X4,X6),equivalent(equivalent(X5,X6),equivalent(X4,X5)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yql) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X7,X8))
| is_a_theorem(equivalent(equivalent(X9,X8),equivalent(X7,X9))) ),
inference(resolution,[status(thm)],[yql,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(X13,equivalent(equivalent(X12,X11),equivalent(X10,X12))),equivalent(equivalent(X10,X11),X13))),
inference(resolution,[status(thm)],[c0,yql]) ).
cnf(c2,plain,
( ~ is_a_theorem(equivalent(X16,equivalent(equivalent(X15,X17),equivalent(X14,X15))))
| is_a_theorem(equivalent(equivalent(X14,X17),X16)) ),
inference(resolution,[status(thm)],[c1,condensed_detachment]) ).
cnf(c4,plain,
is_a_theorem(equivalent(equivalent(X18,X19),equivalent(X18,X19))),
inference(resolution,[status(thm)],[c2,yql]) ).
cnf(c7,plain,
is_a_theorem(equivalent(equivalent(X24,equivalent(X22,X23)),equivalent(equivalent(X22,X23),X24))),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(c11,plain,
is_a_theorem(equivalent(equivalent(X40,X39),equivalent(equivalent(X40,X38),equivalent(X38,X39)))),
inference(resolution,[status(thm)],[c7,c2]) ).
cnf(c20,plain,
is_a_theorem(equivalent(equivalent(X42,X42),equivalent(X41,X41))),
inference(resolution,[status(thm)],[c11,c2]) ).
cnf(c25,plain,
( ~ is_a_theorem(equivalent(X46,X46))
| is_a_theorem(equivalent(X45,X45)) ),
inference(resolution,[status(thm)],[c20,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(equivalent(X51,X51)),
inference(resolution,[status(thm)],[c25,c4]) ).
cnf(c37,plain,
is_a_theorem(equivalent(equivalent(X62,X61),equivalent(X61,X62))),
inference(resolution,[status(thm)],[c28,c0]) ).
cnf(c44,plain,
$false,
inference(resolution,[status(thm)],[c37,prove_ec_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 4 22:42:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.11/0.44 (re.compile("\."), Token.FullStop),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.11/0.44 (re.compile("\("), Token.OpenPar),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.11/0.44 (re.compile("\)"), Token.ClosePar),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.11/0.44 (re.compile("\["), Token.OpenSquare),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.11/0.44 (re.compile("\]"), Token.CloseSquare),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.44 (re.compile("~\|"), Token.Nor),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.11/0.44 (re.compile("\|"), Token.Or),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.11/0.44 (re.compile("\?"), Token.Existential),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.11/0.44 (re.compile("\s+"), Token.WhiteSpace),
% 0.11/0.44 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.11/0.44 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.51 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.51 """
% 0.21/0.52 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.52 """
% 0.32/0.61 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.61 """
% 0.38/0.63 % Version: 1.5
% 0.38/0.63 % SZS status Unsatisfiable
% 0.38/0.63 % SZS output start CNFRefutation
% See solution above
% 0.38/0.63
% 0.38/0.63 % Initial clauses : 3
% 0.38/0.63 % Processed clauses : 17
% 0.38/0.63 % Factors computed : 0
% 0.38/0.63 % Resolvents computed: 48
% 0.38/0.63 % Tautologies deleted: 2
% 0.38/0.63 % Forward subsumed : 6
% 0.38/0.63 % Backward subsumed : 3
% 0.38/0.63 % -------- CPU Time ---------
% 0.38/0.63 % User time : 0.221 s
% 0.38/0.63 % System time : 0.030 s
% 0.38/0.63 % Total time : 0.251 s
%------------------------------------------------------------------------------