%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL360-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 0.31s 0.59s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 0 equ; 4 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_09,negated_conjecture,
~ is_a_theorem(implies(implies(implies(not(x),y),z),implies(x,z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_09) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X27,X28))
| is_a_theorem(implies(implies(X28,X26),implies(X27,X26))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(not(X29),X30),X31),implies(X29,X31))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(c19,plain,
$false,
inference(resolution,[status(thm)],[c13,prove_cn_09]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL360-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.34 % Computer : n009.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 13:56:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.41 (re.compile("\."), Token.FullStop),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.41 (re.compile("\("), Token.OpenPar),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.41 (re.compile("\)"), Token.ClosePar),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.41 (re.compile("\["), Token.OpenSquare),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("~\|"), Token.Nor),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("\|"), Token.Or),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.41 (re.compile("\?"), Token.Existential),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.22/0.48 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.22/0.48 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.48 """
% 0.31/0.57 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.57 """
% 0.31/0.59 % Version: 1.5
% 0.31/0.59 % SZS status Unsatisfiable
% 0.31/0.59 % SZS output start CNFRefutation
% See solution above
% 0.31/0.59
% 0.31/0.59 % Initial clauses : 5
% 0.31/0.59 % Processed clauses : 13
% 0.31/0.59 % Factors computed : 0
% 0.31/0.59 % Resolvents computed: 21
% 0.31/0.59 % Tautologies deleted: 0
% 0.31/0.59 % Forward subsumed : 2
% 0.31/0.59 % Backward subsumed : 0
% 0.31/0.59 % -------- CPU Time ---------
% 0.31/0.59 % User time : 0.223 s
% 0.31/0.59 % System time : 0.020 s
% 0.31/0.59 % Total time : 0.243 s
%------------------------------------------------------------------------------