%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL023-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 12:57:42 PM UTC 2026
% Result : Unsatisfiable 9.14s 9.44s
% Output : CNFRefutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% 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 : 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 : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ec_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(yql,axiom,
is_a_theorem(equivalent(equivalent(X5,X6),equivalent(equivalent(X4,X6),equivalent(X5,X4)))),
file('/export/starexec/sandbox/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(X11,equivalent(equivalent(X13,X10),equivalent(X12,X13))),equivalent(equivalent(X12,X10),X11))),
inference(resolution,[status(thm)],[c0,yql]) ).
cnf(c2,plain,
( ~ is_a_theorem(equivalent(X16,equivalent(equivalent(X17,X15),equivalent(X14,X17))))
| is_a_theorem(equivalent(equivalent(X14,X15),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(c8,plain,
is_a_theorem(equivalent(equivalent(X25,equivalent(X27,X26)),equivalent(equivalent(X27,X26),X25))),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(c11,plain,
is_a_theorem(equivalent(equivalent(X58,equivalent(equivalent(X57,X59),X60)),equivalent(equivalent(X60,equivalent(X57,X59)),X58))),
inference(resolution,[status(thm)],[c8,c0]) ).
cnf(c39,plain,
( ~ is_a_theorem(equivalent(X212,equivalent(equivalent(X211,X213),X214)))
| is_a_theorem(equivalent(equivalent(X214,equivalent(X211,X213)),X212)) ),
inference(resolution,[status(thm)],[c11,condensed_detachment]) ).
cnf(c10,plain,
is_a_theorem(equivalent(equivalent(X38,X40),equivalent(equivalent(X38,X39),equivalent(X39,X40)))),
inference(resolution,[status(thm)],[c8,c2]) ).
cnf(c23,plain,
is_a_theorem(equivalent(equivalent(X41,X41),equivalent(X42,X42))),
inference(resolution,[status(thm)],[c10,c2]) ).
cnf(c24,plain,
( ~ is_a_theorem(equivalent(X43,X43))
| is_a_theorem(equivalent(X44,X44)) ),
inference(resolution,[status(thm)],[c23,condensed_detachment]) ).
cnf(c28,plain,
is_a_theorem(equivalent(X45,X45)),
inference(resolution,[status(thm)],[c24,c4]) ).
cnf(c33,plain,
is_a_theorem(equivalent(equivalent(X63,X64),equivalent(X64,X63))),
inference(resolution,[status(thm)],[c28,c0]) ).
cnf(c43,plain,
( ~ is_a_theorem(equivalent(X65,X66))
| is_a_theorem(equivalent(X66,X65)) ),
inference(resolution,[status(thm)],[c33,condensed_detachment]) ).
cnf(c5,plain,
is_a_theorem(equivalent(equivalent(X46,X47),equivalent(equivalent(X46,X49),equivalent(equivalent(X48,X47),equivalent(X49,X48))))),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(c38,plain,
is_a_theorem(equivalent(equivalent(equivalent(X99,X98),X100),equivalent(equivalent(X100,X99),X98))),
inference(resolution,[status(thm)],[c5,c2]) ).
cnf(c85,plain,
is_a_theorem(equivalent(equivalent(equivalent(X591,X593),X592),equivalent(equivalent(X593,X592),X591))),
inference(resolution,[status(thm)],[c38,c43]) ).
cnf(c1075,plain,
is_a_theorem(equivalent(equivalent(X3933,equivalent(X3932,X3931)),equivalent(equivalent(X3933,X3932),X3931))),
inference(resolution,[status(thm)],[c85,c39]) ).
cnf(c11623,plain,
$false,
inference(resolution,[status(thm)],[c1075,prove_ec_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL023-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 18:42:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.10/0.43 (re.compile("\."), Token.FullStop),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.10/0.43 (re.compile("\("), Token.OpenPar),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.10/0.43 (re.compile("\)"), Token.ClosePar),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.10/0.43 (re.compile("\["), Token.OpenSquare),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.10/0.43 (re.compile("\]"), Token.CloseSquare),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("~\|"), Token.Nor),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.10/0.43 (re.compile("\|"), Token.Or),
% 0.10/0.43 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.10/0.43 (re.compile("\?"), Token.Existential),
% 0.10/0.43 /export/starexec/sandbox/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/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.10/0.43 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.20/0.50 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.20/0.50 """
% 0.20/0.50 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.20/0.50 """
% 0.31/0.60 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.60 """
% 9.14/9.44 % Version: 1.5
% 9.14/9.44 % SZS status Unsatisfiable
% 9.14/9.44 % SZS output start CNFRefutation
% See solution above
% 9.14/9.44
% 9.14/9.44 % Initial clauses : 3
% 9.14/9.44 % Processed clauses : 415
% 9.14/9.44 % Factors computed : 0
% 9.14/9.44 % Resolvents computed: 11628
% 9.14/9.44 % Tautologies deleted: 2
% 9.14/9.44 % Forward subsumed : 1165
% 9.14/9.44 % Backward subsumed : 10
% 9.14/9.44 % -------- CPU Time ---------
% 9.14/9.44 % User time : 9.012 s
% 9.14/9.44 % System time : 0.057 s
% 9.14/9.44 % Total time : 9.069 s
%------------------------------------------------------------------------------