%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL363-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 12:58:19 PM UTC 2026
% Result : Unsatisfiable 0.46s 0.70s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of clauses : 21 ( 15 unt; 0 nHn; 4 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; 2 con; 0-2 aty)
% Number of variables : 48 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_12,negated_conjecture,
~ is_a_theorem(implies(x,implies(implies(not(y),y),y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_12) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X6,X5))
| ~ is_a_theorem(X6)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X12,X11),implies(implies(X11,X10),implies(X12,X10)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X26,X28))
| is_a_theorem(implies(implies(X28,X27),implies(X26,X27))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c16,plain,
is_a_theorem(implies(implies(X33,X32),implies(implies(not(X33),X33),X32))),
inference(resolution,[status(thm)],[c5,cn_2]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(not(X29),X31),X30),implies(X29,X30))),
inference(resolution,[status(thm)],[c5,cn_3]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(implies(not(X36),X34),X35))
| is_a_theorem(implies(X36,X35)) ),
inference(resolution,[status(thm)],[c13,condensed_detachment]) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(implies(not(X7),X8)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c26,plain,
is_a_theorem(implies(X41,X41)),
inference(resolution,[status(thm)],[c18,cn_2]) ).
cnf(c34,plain,
is_a_theorem(implies(not(implies(X45,X45)),X46)),
inference(resolution,[status(thm)],[c26,c0]) ).
cnf(c35,plain,
is_a_theorem(implies(implies(X115,X114),implies(not(implies(X116,X116)),X114))),
inference(resolution,[status(thm)],[c34,c5]) ).
cnf(c123,plain,
is_a_theorem(implies(X119,implies(not(implies(X117,X117)),X118))),
inference(resolution,[status(thm)],[c35,c18]) ).
cnf(c128,plain,
is_a_theorem(implies(implies(implies(not(implies(X215,X215)),X218),X216),implies(X217,X216))),
inference(resolution,[status(thm)],[c123,c5]) ).
cnf(c253,plain,
( ~ is_a_theorem(implies(implies(not(implies(X219,X219)),X221),X220))
| is_a_theorem(implies(X222,X220)) ),
inference(resolution,[status(thm)],[c128,condensed_detachment]) ).
cnf(c261,plain,
is_a_theorem(implies(X224,implies(X223,X223))),
inference(resolution,[status(thm)],[c253,cn_2]) ).
cnf(c273,plain,
is_a_theorem(implies(implies(implies(X270,X270),X271),implies(X272,X271))),
inference(resolution,[status(thm)],[c261,c5]) ).
cnf(c312,plain,
( ~ is_a_theorem(implies(implies(X273,X273),X274))
| is_a_theorem(implies(X275,X274)) ),
inference(resolution,[status(thm)],[c273,condensed_detachment]) ).
cnf(c324,plain,
is_a_theorem(implies(X310,implies(implies(not(X309),X309),X309))),
inference(resolution,[status(thm)],[c312,c16]) ).
cnf(c365,plain,
$false,
inference(resolution,[status(thm)],[c324,prove_cn_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL363-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 01:11:13 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.09/0.42 (re.compile("\."), Token.FullStop),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.09/0.42 (re.compile("\("), Token.OpenPar),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.09/0.42 (re.compile("\)"), Token.ClosePar),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.09/0.42 (re.compile("\["), Token.OpenSquare),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.09/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.42 (re.compile("~\|"), Token.Nor),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.42 (re.compile("\|"), Token.Or),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.09/0.42 (re.compile("\?"), Token.Existential),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.09/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.09/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.09/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.21/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.32/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.58 """
% 0.46/0.70 % Version: 1.5
% 0.46/0.70 % SZS status Unsatisfiable
% 0.46/0.70 % SZS output start CNFRefutation
% See solution above
% 0.46/0.70
% 0.46/0.70 % Initial clauses : 5
% 0.46/0.70 % Processed clauses : 61
% 0.46/0.70 % Factors computed : 0
% 0.46/0.70 % Resolvents computed: 376
% 0.46/0.70 % Tautologies deleted: 1
% 0.46/0.70 % Forward subsumed : 52
% 0.46/0.70 % Backward subsumed : 3
% 0.46/0.70 % -------- CPU Time ---------
% 0.46/0.70 % User time : 0.319 s
% 0.46/0.70 % System time : 0.027 s
% 0.46/0.70 % Total time : 0.346 s
%------------------------------------------------------------------------------