%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% 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 12:57:45 PM UTC 2026
% Result : Unsatisfiable 6.78s 7.12s
% Output : CNFRefutation 6.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of clauses : 42 ( 31 unt; 0 nHn; 8 RR)
% Number of literals : 54 ( 0 equ; 13 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 109 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_19,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_19) ).
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(X28,X27))
| is_a_theorem(implies(implies(X27,X26),implies(X28,X26))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(c0,plain,
( ~ is_a_theorem(implies(not(X7),X7))
| is_a_theorem(X7) ),
inference(resolution,[status(thm)],[condensed_detachment,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(c16,plain,
is_a_theorem(implies(implies(implies(not(X31),X32),X33),implies(X31,X33))),
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)],[c16,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(c43,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,[status(thm)],[c21,cn_2]) ).
cnf(c53,plain,
is_a_theorem(implies(not(implies(X60,X60)),X59)),
inference(resolution,[status(thm)],[c43,c1]) ).
cnf(c62,plain,
is_a_theorem(implies(implies(X115,X116),implies(not(implies(X114,X114)),X116))),
inference(resolution,[status(thm)],[c53,c5]) ).
cnf(c122,plain,
is_a_theorem(implies(X118,implies(not(implies(X117,X117)),X119))),
inference(resolution,[status(thm)],[c62,c21]) ).
cnf(c131,plain,
is_a_theorem(implies(implies(implies(not(implies(X217,X217)),X215),X214),implies(X216,X214))),
inference(resolution,[status(thm)],[c122,c5]) ).
cnf(c252,plain,
( ~ is_a_theorem(implies(implies(not(implies(X218,X218)),X220),X219))
| is_a_theorem(implies(X221,X219)) ),
inference(resolution,[status(thm)],[c131,condensed_detachment]) ).
cnf(c260,plain,
is_a_theorem(implies(X224,implies(X223,X223))),
inference(resolution,[status(thm)],[c252,cn_2]) ).
cnf(c286,plain,
is_a_theorem(implies(implies(implies(X296,X296),X298),implies(X297,X298))),
inference(resolution,[status(thm)],[c260,c5]) ).
cnf(c365,plain,
( ~ is_a_theorem(implies(implies(X303,X303),X302))
| is_a_theorem(implies(X304,X302)) ),
inference(resolution,[status(thm)],[c286,condensed_detachment]) ).
cnf(c377,plain,
is_a_theorem(implies(X314,implies(X315,implies(X313,X313)))),
inference(resolution,[status(thm)],[c365,c286]) ).
cnf(c391,plain,
is_a_theorem(implies(implies(implies(X434,implies(X435,X435)),X437),implies(X436,X437))),
inference(resolution,[status(thm)],[c377,c5]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(X29,X30),implies(implies(not(X29),X29),X30))),
inference(resolution,[status(thm)],[c5,cn_2]) ).
cnf(c18,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(implies(not(X34),X34),X35)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c23,plain,
is_a_theorem(implies(implies(not(implies(X202,X203)),implies(X202,X203)),implies(implies(not(X202),X202),X203))),
inference(resolution,[status(thm)],[c18,c12]) ).
cnf(c262,plain,
is_a_theorem(implies(X241,implies(implies(not(X242),X242),X242))),
inference(resolution,[status(thm)],[c252,c23]) ).
cnf(c305,plain,
is_a_theorem(implies(implies(implies(implies(not(X856),X856),X856),X857),implies(X855,X857))),
inference(resolution,[status(thm)],[c262,c5]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(implies(X111,X110),implies(X113,X110)),X112),implies(implies(X113,X111),X112))),
inference(resolution,[status(thm)],[c5,cn_1]) ).
cnf(c116,plain,
( ~ is_a_theorem(implies(implies(implies(X1456,X1458),implies(X1459,X1458)),X1457))
| is_a_theorem(implies(implies(X1459,X1456),X1457)) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c1187,plain,
is_a_theorem(implies(implies(X2104,implies(not(X2105),X2105)),implies(X2103,implies(X2104,X2105)))),
inference(resolution,[status(thm)],[c116,c305]) ).
cnf(c2120,plain,
( ~ is_a_theorem(implies(X4040,implies(not(X4039),X4039)))
| is_a_theorem(implies(X4038,implies(X4040,X4039))) ),
inference(resolution,[status(thm)],[c1187,condensed_detachment]) ).
cnf(c5522,plain,
is_a_theorem(implies(X4251,implies(implies(implies(X4252,implies(X4253,X4253)),X4250),X4250))),
inference(resolution,[status(thm)],[c2120,c391]) ).
cnf(c6278,plain,
is_a_theorem(implies(implies(implies(X4257,implies(X4258,X4258)),X4256),X4256)),
inference(resolution,[status(thm)],[c5522,c0]) ).
cnf(c6319,plain,
( ~ is_a_theorem(implies(implies(X4305,implies(X4304,X4304)),X4303))
| is_a_theorem(X4303) ),
inference(resolution,[status(thm)],[c6278,condensed_detachment]) ).
cnf(c2115,plain,
is_a_theorem(implies(implies(not(X2434),X2436),implies(X2435,implies(implies(X2436,X2434),X2434)))),
inference(resolution,[status(thm)],[c1187,c116]) ).
cnf(c2599,plain,
is_a_theorem(implies(X2438,implies(X2439,implies(implies(X2437,X2438),X2438)))),
inference(resolution,[status(thm)],[c2115,c21]) ).
cnf(c5493,plain,
is_a_theorem(implies(X4080,implies(X4081,implies(implies(X4079,X4081),X4081)))),
inference(resolution,[status(thm)],[c2120,c2599]) ).
cnf(c5668,plain,
is_a_theorem(implies(X4082,implies(implies(X4083,X4082),X4082))),
inference(resolution,[status(thm)],[c5493,c0]) ).
cnf(c5701,plain,
is_a_theorem(implies(implies(implies(implies(X4862,X4861),X4861),X4863),implies(X4861,X4863))),
inference(resolution,[status(thm)],[c5668,c5]) ).
cnf(c7253,plain,
is_a_theorem(implies(implies(X5085,implies(X5083,X5084)),implies(X5084,implies(X5085,X5084)))),
inference(resolution,[status(thm)],[c5701,c116]) ).
cnf(c7480,plain,
is_a_theorem(implies(X5087,implies(X5086,X5087))),
inference(resolution,[status(thm)],[c7253,c6319]) ).
cnf(c7487,plain,
is_a_theorem(implies(implies(implies(X5337,X5338),X5339),implies(X5338,X5339))),
inference(resolution,[status(thm)],[c7480,c5]) ).
cnf(c8172,plain,
$false,
inference(resolution,[status(thm)],[c7487,prove_cn_19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.35 % Computer : n009.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 17:09:37 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.12/0.41 (re.compile("\."), Token.FullStop),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.12/0.41 (re.compile("\("), Token.OpenPar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.12/0.41 (re.compile("\)"), Token.ClosePar),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.12/0.41 (re.compile("\["), Token.OpenSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.12/0.41 (re.compile("\]"), Token.CloseSquare),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.41 (re.compile("~\|"), Token.Nor),
% 0.12/0.41 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.12/0.42 (re.compile("\|"), Token.Or),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.12/0.42 (re.compile("\?"), Token.Existential),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.12/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.12/0.42 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.12/0.42 (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 """
% 0.33/0.58 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.33/0.58 """
% 6.78/7.12 % Version: 1.5
% 6.78/7.12 % SZS status Unsatisfiable
% 6.78/7.12 % SZS output start CNFRefutation
% See solution above
% 6.78/7.12
% 6.78/7.12 % Initial clauses : 5
% 6.78/7.12 % Processed clauses : 377
% 6.78/7.12 % Factors computed : 0
% 6.78/7.12 % Resolvents computed: 8190
% 6.78/7.12 % Tautologies deleted: 1
% 6.78/7.12 % Forward subsumed : 1321
% 6.78/7.12 % Backward subsumed : 36
% 6.78/7.12 % -------- CPU Time ---------
% 6.78/7.12 % User time : 6.719 s
% 6.78/7.12 % System time : 0.044 s
% 6.78/7.12 % Total time : 6.763 s
%------------------------------------------------------------------------------