%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 0.47s 0.70s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 20 ( 14 unt; 0 nHn; 5 RR)
% Number of literals : 27 ( 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 : 44 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_11,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_11) ).
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,X10),implies(implies(X10,X11),implies(X12,X11)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
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(cn_3,axiom,
is_a_theorem(implies(X4,implies(not(X4),X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(not(X31),X33),X32),implies(X31,X32))),
inference(resolution,[status(thm)],[c5,cn_3]) ).
cnf(c21,plain,
( ~ is_a_theorem(implies(implies(not(X51),X50),X49))
| is_a_theorem(implies(X51,X49)) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X8)
| is_a_theorem(implies(not(X8),X9)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(c42,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,[status(thm)],[c21,cn_2]) ).
cnf(c55,plain,
is_a_theorem(implies(not(implies(X60,X60)),X59)),
inference(resolution,[status(thm)],[c42,c1]) ).
cnf(c60,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,[status(thm)],[c55,c5]) ).
cnf(c124,plain,
is_a_theorem(implies(X118,implies(not(implies(X119,X119)),X117))),
inference(resolution,[status(thm)],[c60,c21]) ).
cnf(c128,plain,
is_a_theorem(implies(implies(implies(not(implies(X212,X212)),X213),X214),implies(X215,X214))),
inference(resolution,[status(thm)],[c124,c5]) ).
cnf(c253,plain,
( ~ is_a_theorem(implies(implies(not(implies(X219,X219)),X218),X216))
| is_a_theorem(implies(X217,X216)) ),
inference(resolution,[status(thm)],[c128,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
inference(resolution,[status(thm)],[c5,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(not(implies(X249,X248)),implies(X249,X248)),implies(implies(not(X249),X249),X248))),
inference(resolution,[status(thm)],[c18,c12]) ).
cnf(c307,plain,
is_a_theorem(implies(X260,implies(implies(not(X261),X261),X261))),
inference(resolution,[status(thm)],[c26,c253]) ).
cnf(c321,plain,
$false,
inference(resolution,[status(thm)],[c307,prove_cn_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 21:52:08 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.14/0.42 (re.compile("\."), Token.FullStop),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.14/0.42 (re.compile("\("), Token.OpenPar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.14/0.42 (re.compile("\)"), Token.ClosePar),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.14/0.42 (re.compile("\["), Token.OpenSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.14/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("~\|"), Token.Nor),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.14/0.42 (re.compile("\|"), Token.Or),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.14/0.42 (re.compile("\?"), Token.Existential),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.14/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.14/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.14/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.23/0.49 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.23/0.49 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.23/0.49 """
% 0.32/0.59 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.32/0.59 """
% 0.47/0.70 % Version: 1.5
% 0.47/0.70 % SZS status Unsatisfiable
% 0.47/0.70 % SZS output start CNFRefutation
% See solution above
% 0.47/0.70
% 0.47/0.70 % Initial clauses : 5
% 0.47/0.70 % Processed clauses : 56
% 0.47/0.70 % Factors computed : 0
% 0.47/0.70 % Resolvents computed: 335
% 0.47/0.70 % Tautologies deleted: 1
% 0.47/0.70 % Forward subsumed : 45
% 0.47/0.70 % Backward subsumed : 3
% 0.47/0.70 % -------- CPU Time ---------
% 0.47/0.70 % User time : 0.318 s
% 0.47/0.70 % System time : 0.021 s
% 0.47/0.70 % Total time : 0.339 s
%------------------------------------------------------------------------------