%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL049-1 : 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 17.66s 17.96s
% Output : CNFRefutation 17.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of clauses : 47 ( 33 unt; 0 nHn; 11 RR)
% Number of literals : 62 ( 0 equ; 16 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 : 125 ( 37 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_20,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_20) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_1,axiom,
is_a_theorem(implies(implies(X10,X11),implies(implies(X11,X12),implies(X10,X12)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(c4,plain,
( ~ is_a_theorem(implies(X22,X21))
| is_a_theorem(implies(implies(X21,X23),implies(X22,X23))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c16,plain,
is_a_theorem(implies(implies(implies(not(X32),X31),X33),implies(X32,X33))),
inference(resolution,[status(thm)],[c4,cn_3]) ).
cnf(c20,plain,
( ~ is_a_theorem(implies(implies(not(X51),X49),X50))
| is_a_theorem(implies(X51,X50)) ),
inference(resolution,[status(thm)],[c16,condensed_detachment]) ).
cnf(c1,plain,
( ~ is_a_theorem(X9)
| is_a_theorem(implies(not(X9),X8)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c44,plain,
is_a_theorem(implies(X55,X55)),
inference(resolution,[status(thm)],[c20,cn_2]) ).
cnf(c57,plain,
is_a_theorem(implies(not(implies(X66,X66)),X67)),
inference(resolution,[status(thm)],[c44,c1]) ).
cnf(c65,plain,
is_a_theorem(implies(implies(X116,X114),implies(not(implies(X115,X115)),X114))),
inference(resolution,[status(thm)],[c57,c4]) ).
cnf(c119,plain,
is_a_theorem(implies(X118,implies(not(implies(X117,X117)),X119))),
inference(resolution,[status(thm)],[c65,c20]) ).
cnf(c127,plain,
is_a_theorem(implies(implies(implies(not(implies(X217,X217)),X219),X216),implies(X218,X216))),
inference(resolution,[status(thm)],[c119,c4]) ).
cnf(c251,plain,
( ~ is_a_theorem(implies(implies(not(implies(X221,X221)),X220),X222))
| is_a_theorem(implies(X223,X222)) ),
inference(resolution,[status(thm)],[c127,condensed_detachment]) ).
cnf(c14,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
inference(resolution,[status(thm)],[c4,cn_2]) ).
cnf(c17,plain,
( ~ is_a_theorem(implies(X35,X34))
| is_a_theorem(implies(implies(not(X35),X35),X34)) ),
inference(resolution,[status(thm)],[c14,condensed_detachment]) ).
cnf(c29,plain,
is_a_theorem(implies(implies(not(implies(X282,X281)),implies(X282,X281)),implies(implies(not(X282),X282),X281))),
inference(resolution,[status(thm)],[c17,c14]) ).
cnf(c338,plain,
is_a_theorem(implies(X284,implies(implies(not(X283),X283),X283))),
inference(resolution,[status(thm)],[c29,c251]) ).
cnf(c346,plain,
is_a_theorem(implies(implies(implies(implies(not(X1362),X1362),X1362),X1361),implies(X1363,X1361))),
inference(resolution,[status(thm)],[c338,c4]) ).
cnf(c1405,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1810),X1810),X1810),X1808))
| is_a_theorem(implies(X1809,X1808)) ),
inference(resolution,[status(thm)],[c346,condensed_detachment]) ).
cnf(c257,plain,
is_a_theorem(implies(X228,implies(X227,X227))),
inference(resolution,[status(thm)],[c251,cn_2]) ).
cnf(c281,plain,
is_a_theorem(implies(implies(implies(X299,X299),X301),implies(X300,X301))),
inference(resolution,[status(thm)],[c257,c4]) ).
cnf(c360,plain,
is_a_theorem(implies(implies(implies(X5036,X5039),X5037),implies(implies(implies(X5038,X5038),X5039),X5037))),
inference(resolution,[status(thm)],[c281,c4]) ).
cnf(c8066,plain,
is_a_theorem(implies(X5042,implies(implies(implies(X5041,X5041),X5040),X5040))),
inference(resolution,[status(thm)],[c360,c1405]) ).
cnf(c8072,plain,
is_a_theorem(implies(implies(implies(X5043,X5043),X5044),X5044)),
inference(resolution,[status(thm)],[c8066,c0]) ).
cnf(c8127,plain,
( ~ is_a_theorem(implies(implies(X5060,X5060),X5061))
| is_a_theorem(X5061) ),
inference(resolution,[status(thm)],[c8072,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(implies(X75,X78),implies(X76,X78)),X77),implies(implies(X76,X75),X77))),
inference(resolution,[status(thm)],[c4,cn_1]) ).
cnf(c70,plain,
( ~ is_a_theorem(implies(implies(implies(X672,X670),implies(X669,X670)),X671))
| is_a_theorem(implies(implies(X669,X672),X671)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(c1408,plain,
is_a_theorem(implies(implies(X2172,implies(not(X2174),X2174)),implies(X2173,implies(X2172,X2174)))),
inference(resolution,[status(thm)],[c346,c70]) ).
cnf(c2320,plain,
( ~ is_a_theorem(implies(X10920,implies(not(X10921),X10921)))
| is_a_theorem(implies(X10922,implies(X10920,X10921))) ),
inference(resolution,[status(thm)],[c1408,condensed_detachment]) ).
cnf(c18,plain,
is_a_theorem(implies(implies(implies(implies(not(X130),X130),X129),X128),implies(implies(X130,X129),X128))),
inference(resolution,[status(thm)],[c14,c4]) ).
cnf(c133,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1719),X1719),X1717),X1718))
| is_a_theorem(implies(implies(X1719,X1717),X1718)) ),
inference(resolution,[status(thm)],[c18,condensed_detachment]) ).
cnf(c656,plain,
is_a_theorem(implies(implies(X679,X680),implies(X678,implies(X679,X680)))),
inference(resolution,[status(thm)],[c70,c281]) ).
cnf(c682,plain,
is_a_theorem(implies(X685,implies(X684,implies(not(X685),X686)))),
inference(resolution,[status(thm)],[c656,c20]) ).
cnf(c697,plain,
is_a_theorem(implies(implies(implies(X1483,implies(not(X1484),X1485)),X1482),implies(X1484,X1482))),
inference(resolution,[status(thm)],[c682,c4]) ).
cnf(c1544,plain,
( ~ is_a_theorem(implies(implies(X2335,implies(not(X2334),X2333)),X2332))
| is_a_theorem(implies(X2334,X2332)) ),
inference(resolution,[status(thm)],[c697,condensed_detachment]) ).
cnf(c2452,plain,
is_a_theorem(implies(X2350,implies(X2352,implies(X2351,X2350)))),
inference(resolution,[status(thm)],[c1544,c1408]) ).
cnf(c2543,plain,
is_a_theorem(implies(implies(implies(X2684,implies(X2685,X2683)),X2682),implies(X2683,X2682))),
inference(resolution,[status(thm)],[c2452,c4]) ).
cnf(c3197,plain,
is_a_theorem(implies(implies(implies(X2858,X2859),X2860),implies(X2859,X2860))),
inference(resolution,[status(thm)],[c2543,c133]) ).
cnf(c3631,plain,
( ~ is_a_theorem(implies(implies(X2959,X2960),X2958))
| is_a_theorem(implies(X2960,X2958)) ),
inference(resolution,[status(thm)],[c3197,condensed_detachment]) ).
cnf(c2325,plain,
is_a_theorem(implies(implies(not(X15823),X15822),implies(X15824,implies(implies(X15822,X15823),X15823)))),
inference(resolution,[status(thm)],[c1408,c70]) ).
cnf(c32573,plain,
is_a_theorem(implies(X15848,implies(X15847,implies(implies(X15848,X15849),X15849)))),
inference(resolution,[status(thm)],[c2325,c3631]) ).
cnf(c32664,plain,
is_a_theorem(implies(X15858,implies(X15857,implies(implies(X15857,X15859),X15859)))),
inference(resolution,[status(thm)],[c32573,c2320]) ).
cnf(c32703,plain,
is_a_theorem(implies(X15866,implies(implies(X15866,X15867),X15867))),
inference(resolution,[status(thm)],[c32664,c8127]) ).
cnf(c32815,plain,
$false,
inference(resolution,[status(thm)],[c32703,prove_cn_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL049-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 02:09:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.09/0.39 (re.compile("\."), Token.FullStop),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.09/0.39 (re.compile("\("), Token.OpenPar),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.09/0.39 (re.compile("\)"), Token.ClosePar),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.09/0.39 (re.compile("\["), Token.OpenSquare),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.09/0.39 (re.compile("\]"), Token.CloseSquare),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.39 (re.compile("~\|"), Token.Nor),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.09/0.39 (re.compile("\|"), Token.Or),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.09/0.39 (re.compile("\?"), Token.Existential),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.09/0.39 (re.compile("\s+"), Token.WhiteSpace),
% 0.09/0.39 /export/starexec/sandbox2/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.09/0.39 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.09/0.43 /export/starexec/sandbox2/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.09/0.43 """
% 0.09/0.43 /export/starexec/sandbox2/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.09/0.43 """
% 0.22/0.47 /export/starexec/sandbox2/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.22/0.47 """
% 17.66/17.96 % Version: 1.5
% 17.66/17.96 % SZS status Unsatisfiable
% 17.66/17.96 % SZS output start CNFRefutation
% See solution above
% 17.66/17.96
% 17.66/17.96 % Initial clauses : 5
% 17.66/17.96 % Processed clauses : 792
% 17.66/17.96 % Factors computed : 0
% 17.66/17.96 % Resolvents computed: 32819
% 17.66/17.96 % Tautologies deleted: 1
% 17.66/17.96 % Forward subsumed : 3822
% 17.66/17.96 % Backward subsumed : 92
% 17.66/17.96 % -------- CPU Time ---------
% 17.66/17.96 % User time : 17.539 s
% 17.66/17.96 % System time : 0.061 s
% 17.66/17.96 % Total time : 17.600 s
%------------------------------------------------------------------------------