%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL356-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 12:58:18 PM UTC 2026
% Result : Unsatisfiable 16.05s 16.35s
% Output : CNFRefutation 16.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 0 equ; 5 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; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_05,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_05) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X12,X11),implies(implies(X11,X10),implies(X12,X10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X6,X5))
| ~ is_a_theorem(X6)
| is_a_theorem(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X28,X27))
| is_a_theorem(implies(implies(X27,X26),implies(X28,X26))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(implies(X76,X78),implies(X75,X78)),X77),implies(implies(X75,X76),X77))),
inference(resolution,[status(thm)],[c5,cn_1]) ).
cnf(c73,plain,
( ~ is_a_theorem(implies(implies(implies(X737,X739),implies(X738,X739)),X736))
| is_a_theorem(implies(implies(X738,X737),X736)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c690,plain,
is_a_theorem(implies(implies(X9405,implies(X9406,X9408)),implies(implies(X9407,X9406),implies(X9405,implies(X9407,X9408))))),
inference(resolution,[status(thm)],[c73,c12]) ).
cnf(c16594,plain,
$false,
inference(resolution,[status(thm)],[c690,prove_cn_05]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL356-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n028.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 09:19:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.41 (re.compile("\."), Token.FullStop),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.41 (re.compile("\("), Token.OpenPar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.41 (re.compile("\)"), Token.ClosePar),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.41 (re.compile("\["), Token.OpenSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("~\|"), Token.Nor),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.41 (re.compile("\|"), Token.Or),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.41 (re.compile("\?"), Token.Existential),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.41 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.41 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.41 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.24/0.48 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.48 """
% 0.24/0.48 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.48 """
% 0.24/0.57 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.24/0.57 """
% 16.05/16.35 % Version: 1.5
% 16.05/16.35 % SZS status Unsatisfiable
% 16.05/16.35 % SZS output start CNFRefutation
% See solution above
% 16.05/16.35
% 16.05/16.35 % Initial clauses : 5
% 16.05/16.35 % Processed clauses : 546
% 16.05/16.35 % Factors computed : 0
% 16.05/16.35 % Resolvents computed: 16621
% 16.05/16.35 % Tautologies deleted: 1
% 16.05/16.35 % Forward subsumed : 2243
% 16.05/16.35 % Backward subsumed : 30
% 16.05/16.35 % -------- CPU Time ---------
% 16.05/16.35 % User time : 15.935 s
% 16.05/16.35 % System time : 0.060 s
% 16.05/16.35 % Total time : 15.995 s
%------------------------------------------------------------------------------