%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL366-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 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 12:58:20 PM UTC 2026
% Result : Unsatisfiable 44.63s 44.99s
% Output : CNFRefutation 44.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of clauses : 57 ( 40 unt; 0 nHn; 12 RR)
% Number of literals : 75 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 151 ( 48 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_15,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_15) ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X5,X6))
| ~ is_a_theorem(X5)
| is_a_theorem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X11,X12),implies(implies(X12,X10),implies(X11,X10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X28,X26))
| is_a_theorem(implies(implies(X26,X27),implies(X28,X27))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c12,plain,
is_a_theorem(implies(implies(implies(implies(X75,X76),implies(X77,X76)),X78),implies(implies(X77,X75),X78))),
inference(resolution,[status(thm)],[c5,cn_1]) ).
cnf(c73,plain,
( ~ is_a_theorem(implies(implies(implies(X737,X739),implies(X736,X739)),X738))
| is_a_theorem(implies(implies(X736,X737),X738)) ),
inference(resolution,[status(thm)],[c12,condensed_detachment]) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X2),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
cnf(c1,plain,
( ~ is_a_theorem(implies(not(X9),X9))
| is_a_theorem(X9) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_2]) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X3,implies(not(X3),X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(not(X32),X33),X31),implies(X32,X31))),
inference(resolution,[status(thm)],[c5,cn_3]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(implies(X163,X162),X161),implies(implies(implies(not(X163),X160),X162),X161))),
inference(resolution,[status(thm)],[c15,c5]) ).
cnf(c22,plain,
( ~ is_a_theorem(implies(implies(not(X51),X49),X50))
| is_a_theorem(implies(X51,X50)) ),
inference(resolution,[status(thm)],[c15,condensed_detachment]) ).
cnf(c0,plain,
( ~ is_a_theorem(X7)
| is_a_theorem(implies(not(X7),X8)) ),
inference(resolution,[status(thm)],[condensed_detachment,cn_3]) ).
cnf(c44,plain,
is_a_theorem(implies(X56,X56)),
inference(resolution,[status(thm)],[c22,cn_2]) ).
cnf(c56,plain,
is_a_theorem(implies(not(implies(X66,X66)),X67)),
inference(resolution,[status(thm)],[c44,c0]) ).
cnf(c66,plain,
is_a_theorem(implies(implies(X114,X115),implies(not(implies(X116,X116)),X115))),
inference(resolution,[status(thm)],[c56,c5]) ).
cnf(c122,plain,
is_a_theorem(implies(X118,implies(not(implies(X119,X119)),X117))),
inference(resolution,[status(thm)],[c66,c22]) ).
cnf(c128,plain,
is_a_theorem(implies(implies(implies(not(implies(X218,X218)),X216),X219),implies(X217,X219))),
inference(resolution,[status(thm)],[c122,c5]) ).
cnf(c256,plain,
( ~ is_a_theorem(implies(implies(not(implies(X220,X220)),X223),X221))
| is_a_theorem(implies(X222,X221)) ),
inference(resolution,[status(thm)],[c128,condensed_detachment]) ).
cnf(c13,plain,
is_a_theorem(implies(implies(X30,X29),implies(implies(not(X30),X30),X29))),
inference(resolution,[status(thm)],[c5,cn_2]) ).
cnf(c19,plain,
( ~ is_a_theorem(implies(X34,X35))
| is_a_theorem(implies(implies(not(X34),X34),X35)) ),
inference(resolution,[status(thm)],[c13,condensed_detachment]) ).
cnf(c25,plain,
is_a_theorem(implies(implies(not(implies(X234,X235)),implies(X234,X235)),implies(implies(not(X234),X234),X235))),
inference(resolution,[status(thm)],[c19,c13]) ).
cnf(c296,plain,
is_a_theorem(implies(X259,implies(implies(not(X258),X258),X258))),
inference(resolution,[status(thm)],[c25,c256]) ).
cnf(c319,plain,
is_a_theorem(implies(implies(implies(implies(not(X1346),X1346),X1346),X1345),implies(X1347,X1345))),
inference(resolution,[status(thm)],[c296,c5]) ).
cnf(c1399,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1639),X1639),X1639),X1640))
| is_a_theorem(implies(X1641,X1640)) ),
inference(resolution,[status(thm)],[c319,condensed_detachment]) ).
cnf(c1761,plain,
is_a_theorem(implies(X1759,implies(implies(implies(not(not(X1760)),X1758),X1760),X1760))),
inference(resolution,[status(thm)],[c1399,c20]) ).
cnf(c1836,plain,
is_a_theorem(implies(implies(implies(not(not(X1761)),X1762),X1761),X1761)),
inference(resolution,[status(thm)],[c1761,c1]) ).
cnf(c1849,plain,
( ~ is_a_theorem(implies(implies(not(not(X1766)),X1765),X1766))
| is_a_theorem(X1766) ),
inference(resolution,[status(thm)],[c1836,condensed_detachment]) ).
cnf(c1390,plain,
is_a_theorem(implies(implies(X1623,implies(not(X1621),X1621)),implies(X1622,implies(X1623,X1621)))),
inference(resolution,[status(thm)],[c319,c73]) ).
cnf(c260,plain,
is_a_theorem(implies(X226,implies(X225,X225))),
inference(resolution,[status(thm)],[c256,cn_2]) ).
cnf(c281,plain,
is_a_theorem(implies(implies(implies(X301,X301),X299),implies(X300,X299))),
inference(resolution,[status(thm)],[c260,c5]) ).
cnf(c706,plain,
is_a_theorem(implies(implies(X745,X743),implies(X744,implies(X745,X743)))),
inference(resolution,[status(thm)],[c73,c281]) ).
cnf(c718,plain,
is_a_theorem(implies(X751,implies(X750,implies(not(X751),X749)))),
inference(resolution,[status(thm)],[c706,c22]) ).
cnf(c735,plain,
is_a_theorem(implies(implies(implies(X1466,implies(not(X1467),X1465)),X1468),implies(X1467,X1468))),
inference(resolution,[status(thm)],[c718,c5]) ).
cnf(c1533,plain,
( ~ is_a_theorem(implies(implies(X2312,implies(not(X2311),X2310)),X2309))
| is_a_theorem(implies(X2311,X2309)) ),
inference(resolution,[status(thm)],[c735,condensed_detachment]) ).
cnf(c2451,plain,
is_a_theorem(implies(X2328,implies(X2326,implies(X2327,X2328)))),
inference(resolution,[status(thm)],[c1533,c1390]) ).
cnf(c2539,plain,
is_a_theorem(implies(implies(implies(X2663,implies(X2660,X2662)),X2661),implies(X2662,X2661))),
inference(resolution,[status(thm)],[c2451,c5]) ).
cnf(c3182,plain,
is_a_theorem(implies(X2666,implies(X2665,implies(X2664,X2665)))),
inference(resolution,[status(thm)],[c2539,c1399]) ).
cnf(c3198,plain,
is_a_theorem(implies(X2668,implies(X2667,X2668))),
inference(resolution,[status(thm)],[c3182,c1849]) ).
cnf(c17,plain,
is_a_theorem(implies(implies(implies(implies(not(X128),X128),X129),X130),implies(implies(X128,X129),X130))),
inference(resolution,[status(thm)],[c13,c5]) ).
cnf(c137,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1780),X1780),X1779),X1781))
| is_a_theorem(implies(implies(X1780,X1779),X1781)) ),
inference(resolution,[status(thm)],[c17,condensed_detachment]) ).
cnf(c3180,plain,
is_a_theorem(implies(implies(implies(X2836,X2837),X2835),implies(X2837,X2835))),
inference(resolution,[status(thm)],[c2539,c137]) ).
cnf(c3636,plain,
( ~ is_a_theorem(implies(implies(X2935,X2934),X2933))
| is_a_theorem(implies(X2934,X2933)) ),
inference(resolution,[status(thm)],[c3180,condensed_detachment]) ).
cnf(c1694,plain,
is_a_theorem(implies(implies(not(X10661),X10659),implies(X10660,implies(implies(X10659,X10661),X10661)))),
inference(resolution,[status(thm)],[c1390,c73]) ).
cnf(c20189,plain,
is_a_theorem(implies(X10675,implies(X10674,implies(implies(X10675,X10673),X10673)))),
inference(resolution,[status(thm)],[c1694,c3636]) ).
cnf(c20315,plain,
( ~ is_a_theorem(X10688)
| is_a_theorem(implies(X10690,implies(implies(X10688,X10689),X10689))) ),
inference(resolution,[status(thm)],[c20189,condensed_detachment]) ).
cnf(c20564,plain,
is_a_theorem(implies(X10782,implies(implies(implies(X10780,implies(X10781,X10780)),X10783),X10783))),
inference(resolution,[status(thm)],[c20315,c3198]) ).
cnf(c21162,plain,
is_a_theorem(implies(implies(implies(X10788,implies(X10786,X10788)),X10787),X10787)),
inference(resolution,[status(thm)],[c20564,c1]) ).
cnf(c21245,plain,
( ~ is_a_theorem(implies(implies(X10892,implies(X10893,X10892)),X10894))
| is_a_theorem(X10894) ),
inference(resolution,[status(thm)],[c21162,condensed_detachment]) ).
cnf(c1703,plain,
( ~ is_a_theorem(implies(X14588,implies(not(X14589),X14589)))
| is_a_theorem(implies(X14587,implies(X14588,X14589))) ),
inference(resolution,[status(thm)],[c1390,condensed_detachment]) ).
cnf(c31648,plain,
is_a_theorem(implies(X14656,implies(X14655,implies(implies(X14655,X14657),X14657)))),
inference(resolution,[status(thm)],[c1703,c20189]) ).
cnf(c32234,plain,
is_a_theorem(implies(X14659,implies(implies(X14659,X14658),X14658))),
inference(resolution,[status(thm)],[c31648,c21245]) ).
cnf(c32340,plain,
( ~ is_a_theorem(X14688)
| is_a_theorem(implies(implies(X14688,X14687),X14687)) ),
inference(resolution,[status(thm)],[c32234,condensed_detachment]) ).
cnf(c32867,plain,
is_a_theorem(implies(implies(implies(implies(not(X15039),X15039),X15039),X15038),X15038)),
inference(resolution,[status(thm)],[c32340,cn_2]) ).
cnf(c33955,plain,
is_a_theorem(implies(implies(X15484,implies(not(X15483),X15483)),implies(X15484,X15483))),
inference(resolution,[status(thm)],[c32867,c73]) ).
cnf(c35832,plain,
is_a_theorem(implies(implies(not(X15977),X15976),implies(implies(X15976,X15977),X15977))),
inference(resolution,[status(thm)],[c33955,c73]) ).
cnf(c37096,plain,
$false,
inference(resolution,[status(thm)],[c35832,prove_cn_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL366-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.06 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.18/0.43 % Computer : n013.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Fri Sep 4 13:58:04 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.27/0.52 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.27/0.52 (re.compile("\."), Token.FullStop),
% 0.27/0.52 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.27/0.52 (re.compile("\("), Token.OpenPar),
% 0.27/0.52 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.27/0.52 (re.compile("\)"), Token.ClosePar),
% 0.27/0.52 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.27/0.52 (re.compile("\["), Token.OpenSquare),
% 0.27/0.52 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.27/0.53 (re.compile("\]"), Token.CloseSquare),
% 0.27/0.53 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.27/0.53 (re.compile("~\|"), Token.Nor),
% 0.27/0.53 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.27/0.53 (re.compile("\|"), Token.Or),
% 0.27/0.53 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.27/0.53 (re.compile("\?"), Token.Existential),
% 0.27/0.53 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.27/0.53 (re.compile("\s+"), Token.WhiteSpace),
% 0.27/0.53 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.27/0.53 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.37/0.64 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.37/0.64 """
% 0.37/0.64 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.37/0.64 """
% 0.56/0.80 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.56/0.80 """
% 44.63/44.99 % Version: 1.5
% 44.63/44.99 % SZS status Unsatisfiable
% 44.63/44.99 % SZS output start CNFRefutation
% See solution above
% 44.63/44.99
% 44.63/44.99 % Initial clauses : 5
% 44.63/44.99 % Processed clauses : 802
% 44.63/44.99 % Factors computed : 0
% 44.63/44.99 % Resolvents computed: 37142
% 44.63/44.99 % Tautologies deleted: 1
% 44.63/44.99 % Forward subsumed : 3881
% 44.63/44.99 % Backward subsumed : 92
% 44.63/44.99 % -------- CPU Time ---------
% 44.63/44.99 % User time : 44.392 s
% 44.63/44.99 % System time : 0.126 s
% 44.63/44.99 % Total time : 44.518 s
%------------------------------------------------------------------------------