%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 12:57:51 PM UTC 2026
% Result : Unsatisfiable 2.45s 2.74s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 24 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_p_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).
cnf(p_4,axiom,
is_a_theorem(equivalent(X10,equivalent(equivalent(equivalent(equivalent(X13,X11),equivalent(X13,X12)),equivalent(X11,X12)),X10))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_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(q_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X4,X6),equivalent(equivalent(X6,X4),X5)),X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_3) ).
cnf(c0,plain,
( ~ is_a_theorem(equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X7),X9)))
| is_a_theorem(X9) ),
inference(resolution,[status(thm)],[q_3,condensed_detachment]) ).
cnf(c2,plain,
is_a_theorem(equivalent(equivalent(X14,X16),equivalent(equivalent(X15,X14),equivalent(X15,X16)))),
inference(resolution,[status(thm)],[p_4,c0]) ).
cnf(c3,plain,
( ~ is_a_theorem(equivalent(X19,X21))
| is_a_theorem(equivalent(equivalent(X20,X19),equivalent(X20,X21))) ),
inference(resolution,[status(thm)],[c2,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(equivalent(equivalent(X31,equivalent(X28,X30)),equivalent(X31,equivalent(equivalent(X29,X28),equivalent(X29,X30))))),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(c9,plain,
is_a_theorem(equivalent(equivalent(X35,equivalent(equivalent(X32,X33),equivalent(equivalent(X33,X32),X34))),equivalent(X35,X34))),
inference(resolution,[status(thm)],[c3,q_3]) ).
cnf(c19,plain,
( ~ is_a_theorem(equivalent(X55,equivalent(equivalent(X56,X58),equivalent(equivalent(X58,X56),X57))))
| is_a_theorem(equivalent(X55,X57)) ),
inference(resolution,[status(thm)],[c9,condensed_detachment]) ).
cnf(c40,plain,
is_a_theorem(equivalent(equivalent(equivalent(X63,X62),equivalent(X63,X64)),equivalent(X62,X64))),
inference(resolution,[status(thm)],[c19,c6]) ).
cnf(c41,plain,
is_a_theorem(equivalent(equivalent(X112,equivalent(equivalent(X111,X113),equivalent(X111,X110))),equivalent(X112,equivalent(X113,X110)))),
inference(resolution,[status(thm)],[c40,c3]) ).
cnf(c81,plain,
( ~ is_a_theorem(equivalent(X199,equivalent(equivalent(X197,X196),equivalent(X197,X198))))
| is_a_theorem(equivalent(X199,equivalent(X196,X198))) ),
inference(resolution,[status(thm)],[c41,condensed_detachment]) ).
cnf(c163,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X379,X378),equivalent(X379,X380)),X381),equivalent(equivalent(X378,X380),X381))),
inference(resolution,[status(thm)],[c81,p_4]) ).
cnf(c323,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X611,X613),equivalent(X611,X612)),X610))
| is_a_theorem(equivalent(equivalent(X613,X612),X610)) ),
inference(resolution,[status(thm)],[c163,condensed_detachment]) ).
cnf(c601,plain,
is_a_theorem(equivalent(equivalent(equivalent(X4154,X4156),X4155),equivalent(equivalent(X4157,X4156),equivalent(equivalent(X4154,X4157),X4155)))),
inference(resolution,[status(thm)],[c323,c163]) ).
cnf(c7953,plain,
$false,
inference(resolution,[status(thm)],[c601,prove_p_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL104-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.07/0.35 % Computer : n008.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 01:48:53 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.39 (re.compile("\."), Token.FullStop),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.39 (re.compile("\("), Token.OpenPar),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.39 (re.compile("\)"), Token.ClosePar),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.39 (re.compile("\["), Token.OpenSquare),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.39 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.39 (re.compile("~\|"), Token.Nor),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.39 (re.compile("\|"), Token.Or),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.39 (re.compile("\?"), Token.Existential),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.39 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.39 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.42 """
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.42 """
% 0.21/0.46 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.46 """
% 2.45/2.74 % Version: 1.5
% 2.45/2.74 % SZS status Unsatisfiable
% 2.45/2.74 % SZS output start CNFRefutation
% See solution above
% 2.45/2.74
% 2.45/2.74 % Initial clauses : 4
% 2.45/2.74 % Processed clauses : 260
% 2.45/2.74 % Factors computed : 0
% 2.45/2.74 % Resolvents computed: 7990
% 2.45/2.74 % Tautologies deleted: 1
% 2.45/2.74 % Forward subsumed : 1105
% 2.45/2.74 % Backward subsumed : 0
% 2.45/2.74 % -------- CPU Time ---------
% 2.45/2.74 % User time : 2.363 s
% 2.45/2.74 % System time : 0.025 s
% 2.45/2.74 % Total time : 2.388 s
%------------------------------------------------------------------------------