%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL130-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 0.96s 1.24s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 7 RR)
% Number of literals : 31 ( 0 equ; 10 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_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(p_4,axiom,
is_a_theorem(equivalent(equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X6,X4),equivalent(X7,X4)))),X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(X10,equivalent(equivalent(X9,X8),equivalent(equivalent(X9,X11),equivalent(X8,X11)))))
| is_a_theorem(X10) ),
inference(resolution,[status(thm)],[p_4,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(equivalent(equivalent(equivalent(X16,X12),equivalent(equivalent(X16,X17),equivalent(X12,X17))),equivalent(equivalent(X15,X14),equivalent(equivalent(X15,X13),equivalent(X14,X13))))),
inference(resolution,[status(thm)],[c0,p_4]) ).
cnf(c3,plain,
is_a_theorem(equivalent(equivalent(X24,X26),equivalent(equivalent(X24,X25),equivalent(X26,X25)))),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c4,plain,
( ~ is_a_theorem(equivalent(X28,X29))
| is_a_theorem(equivalent(equivalent(X28,X27),equivalent(X29,X27))) ),
inference(resolution,[status(thm)],[c3,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(equivalent(equivalent(equivalent(X31,X32),X33),equivalent(equivalent(equivalent(X31,X30),equivalent(X32,X30)),X33))),
inference(resolution,[status(thm)],[c4,c3]) ).
cnf(c10,plain,
( ~ is_a_theorem(equivalent(equivalent(X38,X39),X40))
| is_a_theorem(equivalent(equivalent(equivalent(X38,X41),equivalent(X39,X41)),X40)) ),
inference(resolution,[status(thm)],[c6,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(equivalent(equivalent(equivalent(X52,X54),equivalent(X53,X54)),equivalent(equivalent(X52,X51),equivalent(X53,X51)))),
inference(resolution,[status(thm)],[c10,c3]) ).
cnf(c30,plain,
( ~ is_a_theorem(equivalent(equivalent(X57,X56),equivalent(X55,X56)))
| is_a_theorem(equivalent(equivalent(X57,X58),equivalent(X55,X58))) ),
inference(resolution,[status(thm)],[c16,condensed_detachment]) ).
cnf(c32,plain,
is_a_theorem(equivalent(equivalent(equivalent(X59,X60),X61),equivalent(equivalent(X59,X60),X61))),
inference(resolution,[status(thm)],[c30,c16]) ).
cnf(c39,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X96,X95),X97),equivalent(X94,X97)),equivalent(equivalent(X96,X95),X94))),
inference(resolution,[status(thm)],[c32,c10]) ).
cnf(c58,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X104,X105),X103),equivalent(X102,X103)))
| is_a_theorem(equivalent(equivalent(X104,X105),X102)) ),
inference(resolution,[status(thm)],[c39,condensed_detachment]) ).
cnf(c60,plain,
is_a_theorem(equivalent(equivalent(X106,X107),equivalent(X106,X107))),
inference(resolution,[status(thm)],[c58,c16]) ).
cnf(c71,plain,
is_a_theorem(equivalent(equivalent(equivalent(X135,X136),equivalent(X134,X136)),equivalent(X135,X134))),
inference(resolution,[status(thm)],[c60,c10]) ).
cnf(c90,plain,
( ~ is_a_theorem(equivalent(equivalent(X140,X141),equivalent(X142,X141)))
| is_a_theorem(equivalent(X140,X142)) ),
inference(resolution,[status(thm)],[c71,condensed_detachment]) ).
cnf(c96,plain,
is_a_theorem(equivalent(X143,X143)),
inference(resolution,[status(thm)],[c90,c60]) ).
cnf(c5,plain,
is_a_theorem(equivalent(equivalent(equivalent(X45,equivalent(equivalent(X46,X43),equivalent(equivalent(X46,X42),equivalent(X43,X42)))),X44),equivalent(X45,X44))),
inference(resolution,[status(thm)],[c4,p_4]) ).
cnf(c21,plain,
( ~ is_a_theorem(equivalent(equivalent(X280,equivalent(equivalent(X278,X281),equivalent(equivalent(X278,X277),equivalent(X281,X277)))),X279))
| is_a_theorem(equivalent(X280,X279)) ),
inference(resolution,[status(thm)],[c5,condensed_detachment]) ).
cnf(c194,plain,
is_a_theorem(equivalent(X2163,equivalent(X2163,equivalent(equivalent(X2165,X2164),equivalent(equivalent(X2165,X2166),equivalent(X2164,X2166)))))),
inference(resolution,[status(thm)],[c21,c96]) ).
cnf(c3746,plain,
$false,
inference(resolution,[status(thm)],[c194,prove_lg_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL130-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 17:54:52 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.40 (re.compile("\."), Token.FullStop),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.40 (re.compile("\("), Token.OpenPar),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.40 (re.compile("\)"), Token.ClosePar),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.40 (re.compile("\["), Token.OpenSquare),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.40 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.40 (re.compile("~\|"), Token.Nor),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.40 (re.compile("\|"), Token.Or),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.40 (re.compile("\?"), Token.Existential),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.40 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.40 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.40 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.13/0.43 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.43 """
% 0.13/0.43 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.43 """
% 0.13/0.47 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.13/0.47 """
% 0.96/1.24 % Version: 1.5
% 0.96/1.24 % SZS status Unsatisfiable
% 0.96/1.24 % SZS output start CNFRefutation
% See solution above
% 0.96/1.24
% 0.96/1.24 % Initial clauses : 3
% 0.96/1.24 % Processed clauses : 160
% 0.96/1.24 % Factors computed : 0
% 0.96/1.24 % Resolvents computed: 3754
% 0.96/1.24 % Tautologies deleted: 3
% 0.96/1.24 % Forward subsumed : 587
% 0.96/1.24 % Backward subsumed : 6
% 0.96/1.24 % -------- CPU Time ---------
% 0.96/1.24 % User time : 0.873 s
% 0.96/1.24 % System time : 0.017 s
% 0.96/1.24 % Total time : 0.890 s
%------------------------------------------------------------------------------