%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL056-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n002.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 12:57:46 PM UTC 2026
% Result : Unsatisfiable 47.95s 48.21s
% Output : CNFRefutation 47.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of clauses : 62 ( 44 unt; 0 nHn; 12 RR)
% Number of literals : 81 ( 0 equ; 20 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 164 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cn_39,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_39) ).
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(X10,X11),implies(implies(X11,X12),implies(X10,X12)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
cnf(c5,plain,
( ~ is_a_theorem(implies(X32,X31))
| is_a_theorem(implies(implies(X31,X30),implies(X32,X30))) ),
inference(resolution,[status(thm)],[cn_1,condensed_detachment]) ).
cnf(c20,plain,
is_a_theorem(implies(implies(implies(implies(X168,X166),implies(X169,X166)),X167),implies(implies(X169,X168),X167))),
inference(resolution,[status(thm)],[c5,cn_1]) ).
cnf(c214,plain,
( ~ is_a_theorem(implies(implies(implies(X2945,X2943),implies(X2944,X2943)),X2946))
| is_a_theorem(implies(implies(X2944,X2945),X2946)) ),
inference(resolution,[status(thm)],[c20,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(c17,plain,
is_a_theorem(implies(implies(X33,X34),implies(implies(not(X33),X33),X34))),
inference(resolution,[status(thm)],[c5,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(c19,plain,
is_a_theorem(implies(implies(implies(not(X35),X36),X37),implies(X35,X37))),
inference(resolution,[status(thm)],[c5,cn_3]) ).
cnf(c26,plain,
( ~ is_a_theorem(implies(implies(not(X63),X62),X61))
| is_a_theorem(implies(X63,X61)) ),
inference(resolution,[status(thm)],[c19,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(c54,plain,
is_a_theorem(implies(X64,X64)),
inference(resolution,[status(thm)],[c26,cn_2]) ).
cnf(c60,plain,
is_a_theorem(implies(not(implies(X74,X74)),X73)),
inference(resolution,[status(thm)],[c54,c0]) ).
cnf(c70,plain,
is_a_theorem(implies(implies(X118,X120),implies(not(implies(X119,X119)),X120))),
inference(resolution,[status(thm)],[c60,c5]) ).
cnf(c119,plain,
is_a_theorem(implies(X122,implies(not(implies(X123,X123)),X121))),
inference(resolution,[status(thm)],[c70,c26]) ).
cnf(c122,plain,
is_a_theorem(implies(implies(implies(not(implies(X216,X216)),X215),X214),implies(X213,X214))),
inference(resolution,[status(thm)],[c119,c5]) ).
cnf(c247,plain,
( ~ is_a_theorem(implies(implies(not(implies(X219,X219)),X217),X220))
| is_a_theorem(implies(X218,X220)) ),
inference(resolution,[status(thm)],[c122,condensed_detachment]) ).
cnf(c250,plain,
is_a_theorem(implies(X222,implies(X221,X221))),
inference(resolution,[status(thm)],[c247,cn_2]) ).
cnf(c265,plain,
is_a_theorem(implies(implies(implies(X268,X268),X269),implies(X267,X269))),
inference(resolution,[status(thm)],[c250,c5]) ).
cnf(c314,plain,
( ~ is_a_theorem(implies(implies(X271,X271),X270))
| is_a_theorem(implies(X272,X270)) ),
inference(resolution,[status(thm)],[c265,condensed_detachment]) ).
cnf(c326,plain,
is_a_theorem(implies(X315,implies(implies(not(X314),X314),X314))),
inference(resolution,[status(thm)],[c314,c17]) ).
cnf(c380,plain,
is_a_theorem(implies(implies(implies(implies(not(X934),X934),X934),X935),implies(X933,X935))),
inference(resolution,[status(thm)],[c326,c5]) ).
cnf(c812,plain,
( ~ is_a_theorem(implies(implies(implies(not(X1151),X1151),X1151),X1152))
| is_a_theorem(implies(X1153,X1152)) ),
inference(resolution,[status(thm)],[c380,condensed_detachment]) ).
cnf(c310,plain,
is_a_theorem(implies(implies(implies(X1549,X1547),X1550),implies(implies(implies(X1548,X1548),X1547),X1550))),
inference(resolution,[status(thm)],[c265,c5]) ).
cnf(c1173,plain,
is_a_theorem(implies(X1552,implies(implies(implies(X1551,X1551),X1553),X1553))),
inference(resolution,[status(thm)],[c310,c812]) ).
cnf(c1179,plain,
is_a_theorem(implies(implies(implies(X1554,X1554),X1555),X1555)),
inference(resolution,[status(thm)],[c1173,c1]) ).
cnf(c1203,plain,
( ~ is_a_theorem(implies(implies(X1568,X1568),X1567))
| is_a_theorem(X1567) ),
inference(resolution,[status(thm)],[c1179,condensed_detachment]) ).
cnf(c324,plain,
is_a_theorem(implies(X282,implies(X284,implies(X283,X283)))),
inference(resolution,[status(thm)],[c314,c265]) ).
cnf(c347,plain,
is_a_theorem(implies(implies(implies(X429,implies(X428,X428)),X430),implies(X427,X430))),
inference(resolution,[status(thm)],[c324,c5]) ).
cnf(c461,plain,
is_a_theorem(implies(implies(implies(X6144,X6141),X6143),implies(implies(implies(X6145,implies(X6142,X6142)),X6141),X6143))),
inference(resolution,[status(thm)],[c347,c5]) ).
cnf(c9377,plain,
is_a_theorem(implies(X6154,implies(implies(implies(X6156,implies(X6153,X6153)),X6155),X6155))),
inference(resolution,[status(thm)],[c461,c812]) ).
cnf(c9402,plain,
is_a_theorem(implies(implies(implies(X6160,implies(X6161,X6161)),X6159),X6159)),
inference(resolution,[status(thm)],[c9377,c1203]) ).
cnf(c9457,plain,
( ~ is_a_theorem(implies(implies(X6208,implies(X6210,X6210)),X6209))
| is_a_theorem(X6209) ),
inference(resolution,[status(thm)],[c9402,condensed_detachment]) ).
cnf(c2985,plain,
is_a_theorem(implies(implies(X4508,implies(not(X4507),X4507)),implies(X4509,implies(X4508,X4507)))),
inference(resolution,[status(thm)],[c214,c380]) ).
cnf(c6209,plain,
( ~ is_a_theorem(implies(X6809,implies(not(X6808),X6808)))
| is_a_theorem(implies(X6807,implies(X6809,X6808))) ),
inference(resolution,[status(thm)],[c2985,condensed_detachment]) ).
cnf(c6207,plain,
is_a_theorem(implies(implies(not(X6011),X6009),implies(X6010,implies(implies(X6009,X6011),X6011)))),
inference(resolution,[status(thm)],[c2985,c214]) ).
cnf(c23,plain,
( ~ is_a_theorem(implies(X46,X45))
| is_a_theorem(implies(implies(not(X46),X46),X45)) ),
inference(resolution,[status(thm)],[c17,condensed_detachment]) ).
cnf(c39,plain,
is_a_theorem(implies(implies(not(implies(X433,X432)),implies(X433,X432)),implies(implies(X432,X431),implies(X433,X431)))),
inference(resolution,[status(thm)],[c23,cn_1]) ).
cnf(c473,plain,
( ~ is_a_theorem(implies(not(implies(X6292,X6290)),implies(X6292,X6290)))
| is_a_theorem(implies(implies(X6290,X6291),implies(X6292,X6291))) ),
inference(resolution,[status(thm)],[c39,condensed_detachment]) ).
cnf(c8856,plain,
is_a_theorem(implies(X6024,implies(X6023,implies(implies(X6022,X6024),X6024)))),
inference(resolution,[status(thm)],[c6207,c26]) ).
cnf(c10935,plain,
is_a_theorem(implies(X6876,implies(X6878,implies(implies(X6877,X6878),X6878)))),
inference(resolution,[status(thm)],[c6209,c8856]) ).
cnf(c11165,plain,
is_a_theorem(implies(implies(implies(implies(X7298,X7297),X7297),X7296),implies(X7297,X7296))),
inference(resolution,[status(thm)],[c10935,c473]) ).
cnf(c12270,plain,
is_a_theorem(implies(implies(X7435,implies(X7436,X7434)),implies(X7434,implies(X7435,X7434)))),
inference(resolution,[status(thm)],[c11165,c214]) ).
cnf(c12380,plain,
is_a_theorem(implies(X7442,implies(X7443,X7442))),
inference(resolution,[status(thm)],[c12270,c9457]) ).
cnf(c12454,plain,
is_a_theorem(implies(implies(implies(X7741,X7740),X7742),implies(X7740,X7742))),
inference(resolution,[status(thm)],[c12380,c5]) ).
cnf(c13554,plain,
( ~ is_a_theorem(implies(implies(X7910,X7911),X7909))
| is_a_theorem(implies(X7911,X7909)) ),
inference(resolution,[status(thm)],[c12454,condensed_detachment]) ).
cnf(c13924,plain,
is_a_theorem(implies(X8188,implies(X8187,implies(implies(X8188,X8189),X8189)))),
inference(resolution,[status(thm)],[c13554,c6207]) ).
cnf(c15128,plain,
is_a_theorem(implies(X8289,implies(X8290,implies(implies(X8290,X8291),X8291)))),
inference(resolution,[status(thm)],[c13924,c6209]) ).
cnf(c15707,plain,
is_a_theorem(implies(X8294,implies(implies(X8294,X8295),X8295))),
inference(resolution,[status(thm)],[c15128,c9457]) ).
cnf(c15784,plain,
( ~ is_a_theorem(X8320)
| is_a_theorem(implies(implies(X8320,X8321),X8321)) ),
inference(resolution,[status(thm)],[c15707,condensed_detachment]) ).
cnf(c16052,plain,
is_a_theorem(implies(implies(implies(implies(not(X9857),X9857),X9857),X9856),X9856)),
inference(resolution,[status(thm)],[c15784,cn_2]) ).
cnf(c21225,plain,
is_a_theorem(implies(implies(X10984,implies(not(X10985),X10985)),implies(X10984,X10985))),
inference(resolution,[status(thm)],[c16052,c214]) ).
cnf(c24914,plain,
( ~ is_a_theorem(implies(X11714,implies(not(X11713),X11713)))
| is_a_theorem(implies(X11714,X11713)) ),
inference(resolution,[status(thm)],[c21225,condensed_detachment]) ).
cnf(c15973,plain,
is_a_theorem(implies(implies(implies(X9826,implies(not(X9826),X9827)),X9825),X9825)),
inference(resolution,[status(thm)],[c15784,cn_3]) ).
cnf(c21119,plain,
( ~ is_a_theorem(implies(implies(X10796,implies(not(X10796),X10795)),X10794))
| is_a_theorem(X10794) ),
inference(resolution,[status(thm)],[c15973,condensed_detachment]) ).
cnf(c15730,plain,
is_a_theorem(implies(implies(implies(implies(X15697,X15698),X15698),X15696),implies(X15697,X15696))),
inference(resolution,[status(thm)],[c15128,c473]) ).
cnf(c36234,plain,
is_a_theorem(implies(implies(X19050,implies(X19052,X19051)),implies(X19052,implies(X19050,X19051)))),
inference(resolution,[status(thm)],[c15730,c214]) ).
cnf(c45719,plain,
is_a_theorem(implies(not(X19063),implies(X19063,X19062))),
inference(resolution,[status(thm)],[c36234,c21119]) ).
cnf(c45776,plain,
is_a_theorem(implies(not(not(X19064)),X19064)),
inference(resolution,[status(thm)],[c45719,c24914]) ).
cnf(c45812,plain,
$false,
inference(resolution,[status(thm)],[c45776,prove_cn_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL056-1 : 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 : n002.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 08:25:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:155: SyntaxWarning: invalid escape sequence '\.'
% 0.13/0.42 (re.compile("\."), Token.FullStop),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:156: SyntaxWarning: invalid escape sequence '\('
% 0.13/0.42 (re.compile("\("), Token.OpenPar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:157: SyntaxWarning: invalid escape sequence '\)'
% 0.13/0.42 (re.compile("\)"), Token.ClosePar),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:158: SyntaxWarning: invalid escape sequence '\['
% 0.13/0.42 (re.compile("\["), Token.OpenSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:159: SyntaxWarning: invalid escape sequence '\]'
% 0.13/0.42 (re.compile("\]"), Token.CloseSquare),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:162: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("~\|"), Token.Nor),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:164: SyntaxWarning: invalid escape sequence '\|'
% 0.13/0.42 (re.compile("\|"), Token.Or),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:175: SyntaxWarning: invalid escape sequence '\?'
% 0.13/0.42 (re.compile("\?"), Token.Existential),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:176: SyntaxWarning: invalid escape sequence '\s'
% 0.13/0.42 (re.compile("\s+"), Token.WhiteSpace),
% 0.13/0.42 /export/starexec/sandbox/solver/bin/lexer.py:180: SyntaxWarning: invalid escape sequence '\$'
% 0.13/0.42 (re.compile("\$[_a-z0-9_A-Z]*"), Token.DefFunctor),
% 0.21/0.49 /export/starexec/sandbox/solver/bin/signature.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.21/0.49 /export/starexec/sandbox/solver/bin/literals.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.21/0.49 """
% 0.31/0.58 /export/starexec/sandbox/solver/bin/unification.py:6: SyntaxWarning: invalid escape sequence '\c'
% 0.31/0.58 """
% 47.95/48.21 % Version: 1.5
% 47.95/48.21 % SZS status Unsatisfiable
% 47.95/48.21 % SZS output start CNFRefutation
% See solution above
% 47.95/48.21
% 47.95/48.21 % Initial clauses : 5
% 47.95/48.21 % Processed clauses : 1001
% 47.95/48.21 % Factors computed : 0
% 47.95/48.21 % Resolvents computed: 45834
% 47.95/48.21 % Tautologies deleted: 1
% 47.95/48.21 % Forward subsumed : 4726
% 47.95/48.21 % Backward subsumed : 66
% 47.95/48.21 % -------- CPU Time ---------
% 47.95/48.21 % User time : 47.720 s
% 47.95/48.21 % System time : 0.121 s
% 47.95/48.21 % Total time : 47.841 s
%------------------------------------------------------------------------------