%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL398-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 12:58:25 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.46s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 0 equ; 6 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_64,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,x)),y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_64) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
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(c0,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X7)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
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(c4,plain,
( ~ is_a_theorem(implies(X21,X22))
| is_a_theorem(implies(implies(X22,X23),implies(X21,X23))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(implies(not(X31),X30),X29),implies(X31,X29))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(implies(not(X35),X34),X36))
| is_a_theorem(implies(X35,X36)) ),
inference(resolution,[status(thm)],[c13,condensed_detachment]) ).
cnf(c25,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)],[c25,c0]) ).
cnf(c35,plain,
$false,
inference(resolution,[status(thm)],[c34,prove_cn_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL398-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 17:52:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.38 (re.compile("\."), Token.FullStop),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.38 (re.compile("\("), Token.OpenPar),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.38 (re.compile("\)"), Token.ClosePar),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.38 (re.compile("\["), Token.OpenSquare),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.38 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.38 (re.compile("~\|"), Token.Nor),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.38 (re.compile("\|"), Token.Or),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.38 (re.compile("\?"), Token.Existential),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.38 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.38 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.38 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.12/0.41 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.41 """
% 0.12/0.41 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.41 """
% 0.12/0.45 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.12/0.45 """
% 0.21/0.46 % Version: 1.5
% 0.21/0.46 % SZS status Unsatisfiable
% 0.21/0.46 % SZS output start CNFRefutation
% See solution above
% 0.21/0.46
% 0.21/0.46 % Initial clauses : 5
% 0.21/0.46 % Processed clauses : 18
% 0.21/0.46 % Factors computed : 0
% 0.21/0.46 % Resolvents computed: 40
% 0.21/0.46 % Tautologies deleted: 1
% 0.21/0.46 % Forward subsumed : 3
% 0.21/0.46 % Backward subsumed : 0
% 0.21/0.46 % -------- CPU Time ---------
% 0.21/0.46 % User time : 0.099 s
% 0.21/0.46 % System time : 0.015 s
% 0.21/0.46 % Total time : 0.114 s
%------------------------------------------------------------------------------