TSTP Solution File: LCL092-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 13:51:59 EDT 2022
% Result : Unsatisfiable 36.43s 36.62s
% Output : Refutation 36.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
input ).
cnf(ic_JLukasiewicz_5,axiom,
is_a_theorem(implies(implies(implies(X7,X4),implies(X8,X6)),implies(implies(X6,X7),implies(X5,implies(X8,X7))))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X12,X13),implies(X10,X11)))
| is_a_theorem(implies(implies(X11,X12),implies(X9,implies(X10,X12)))) ),
inference(resolution,status(thm),[ic_JLukasiewicz_5,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(X14,implies(X16,X18)),implies(X18,X19)),implies(X15,implies(implies(X17,X18),implies(X18,X19))))),
inference(resolution,status(thm),[c0,ic_JLukasiewicz_5]) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(implies(X32,implies(X27,X29)),implies(X29,X30)))
| is_a_theorem(implies(X28,implies(implies(X31,X29),implies(X29,X30)))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(implies(X34,implies(implies(X33,X36),implies(X36,implies(implies(X37,X35),implies(X35,X36)))))),
inference(resolution,status(thm),[c3,c1]) ).
cnf(c10,plain,
( ~ is_a_theorem(X38)
| is_a_theorem(implies(implies(X41,X39),implies(X39,implies(implies(X42,X40),implies(X40,X39))))) ),
inference(resolution,status(thm),[c6,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(implies(implies(X44,X43),implies(X43,implies(implies(X45,X46),implies(X46,X43))))),
inference(resolution,status(thm),[c10,c1]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(implies(X73,X74),implies(X74,X71)),X75),implies(X72,implies(X71,X75)))),
inference(resolution,status(thm),[c11,c0]) ).
cnf(c28,plain,
is_a_theorem(implies(X78,implies(implies(X76,X80),implies(X80,implies(X77,implies(X79,X80)))))),
inference(resolution,status(thm),[c15,c3]) ).
cnf(c33,plain,
( ~ is_a_theorem(X91)
| is_a_theorem(implies(implies(X90,X92),implies(X92,implies(X88,implies(X89,X92))))) ),
inference(resolution,status(thm),[c28,condensed_detachment]) ).
cnf(c35,plain,
is_a_theorem(implies(implies(X95,X93),implies(X93,implies(X94,implies(X96,X93))))),
inference(resolution,status(thm),[c33,c1]) ).
cnf(c43,plain,
is_a_theorem(implies(implies(implies(X132,implies(X134,X131)),X135),implies(X133,implies(X131,X135)))),
inference(resolution,status(thm),[c35,c0]) ).
cnf(c55,plain,
( ~ is_a_theorem(implies(implies(X151,implies(X150,X148)),X149))
| is_a_theorem(implies(X147,implies(X148,X149))) ),
inference(resolution,status(thm),[c43,condensed_detachment]) ).
cnf(c61,plain,
is_a_theorem(implies(X229,implies(X231,implies(implies(X231,X232),implies(X228,implies(X230,X232)))))),
inference(resolution,status(thm),[c55,ic_JLukasiewicz_5]) ).
cnf(c117,plain,
( ~ is_a_theorem(X255)
| is_a_theorem(implies(X251,implies(implies(X251,X253),implies(X252,implies(X254,X253))))) ),
inference(resolution,status(thm),[c61,condensed_detachment]) ).
cnf(c125,plain,
is_a_theorem(implies(X264,implies(implies(X264,X267),implies(X266,implies(X265,X267))))),
inference(resolution,status(thm),[c117,c1]) ).
cnf(c157,plain,
( ~ is_a_theorem(X332)
| is_a_theorem(implies(implies(X332,X335),implies(X333,implies(X334,X335)))) ),
inference(resolution,status(thm),[c125,condensed_detachment]) ).
cnf(c44,plain,
( ~ is_a_theorem(implies(X130,X127))
| is_a_theorem(implies(X127,implies(X129,implies(X128,X127)))) ),
inference(resolution,status(thm),[c35,condensed_detachment]) ).
cnf(c48,plain,
is_a_theorem(implies(implies(X362,implies(X360,X361)),implies(X363,implies(X364,implies(X362,implies(X360,X361)))))),
inference(resolution,status(thm),[c44,c15]) ).
cnf(c206,plain,
is_a_theorem(implies(implies(implies(implies(X4106,implies(X4103,X4108)),implies(X4101,implies(X4105,implies(X4106,implies(X4103,X4108))))),X4102),implies(X4104,implies(X4107,X4102)))),
inference(resolution,status(thm),[c48,c157]) ).
cnf(c153,plain,
is_a_theorem(implies(implies(implies(X2158,implies(X2156,X2157)),X2159),implies(X2154,implies(implies(implies(X2159,X2155),X2157),X2159)))),
inference(resolution,status(thm),[c125,c0]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(implies(X25,X23),implies(X23,X24)),implies(X26,implies(X22,X23))),implies(X21,implies(X20,implies(X26,implies(X22,X23)))))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(X56,implies(X58,implies(X52,X57))),implies(implies(X54,X57),implies(X57,X55))),implies(X53,implies(X51,implies(implies(X54,X57),implies(X57,X55)))))),
inference(resolution,status(thm),[c2,c0]) ).
cnf(c52,plain,
is_a_theorem(implies(implies(implies(X891,X890),implies(X893,implies(X892,X891))),implies(X889,implies(X888,implies(X893,implies(X892,X891)))))),
inference(resolution,status(thm),[c43,c0]) ).
cnf(c463,plain,
( ~ is_a_theorem(implies(implies(X7333,X7336),implies(X7331,implies(X7335,X7333))))
| is_a_theorem(implies(X7332,implies(X7334,implies(X7331,implies(X7335,X7333))))) ),
inference(resolution,status(thm),[c52,condensed_detachment]) ).
cnf(c19,plain,
( ~ is_a_theorem(implies(implies(X263,implies(X262,implies(X256,X257))),implies(implies(X258,X257),implies(X257,X261))))
| is_a_theorem(implies(X260,implies(X259,implies(implies(X258,X257),implies(X257,X261))))) ),
inference(resolution,status(thm),[c4,condensed_detachment]) ).
cnf(c140,plain,
is_a_theorem(implies(X627,implies(X630,implies(implies(implies(X629,X626),X626),implies(X626,implies(X628,X626)))))),
inference(resolution,status(thm),[c19,ic_JLukasiewicz_5]) ).
cnf(c341,plain,
( ~ is_a_theorem(X1054)
| is_a_theorem(implies(X1055,implies(implies(implies(X1053,X1051),X1051),implies(X1051,implies(X1052,X1051))))) ),
inference(resolution,status(thm),[c140,condensed_detachment]) ).
cnf(c538,plain,
is_a_theorem(implies(X1057,implies(implies(implies(X1058,X1059),X1059),implies(X1059,implies(X1056,X1059))))),
inference(resolution,status(thm),[c341,c4]) ).
cnf(c576,plain,
( ~ is_a_theorem(X1213)
| is_a_theorem(implies(implies(implies(X1212,X1215),X1215),implies(X1215,implies(X1214,X1215)))) ),
inference(resolution,status(thm),[c538,condensed_detachment]) ).
cnf(c610,plain,
is_a_theorem(implies(implies(implies(X1218,X1217),X1217),implies(X1217,implies(X1216,X1217)))),
inference(resolution,status(thm),[c576,c4]) ).
cnf(c645,plain,
is_a_theorem(implies(implies(implies(X1641,X1640),implies(X1642,X1640)),implies(X1643,implies(X1640,implies(X1642,X1640))))),
inference(resolution,status(thm),[c610,c0]) ).
cnf(c27,plain,
is_a_theorem(implies(implies(implies(X498,X499),implies(implies(X500,X496),implies(X496,X498))),implies(X497,implies(X495,implies(implies(X500,X496),implies(X496,X498)))))),
inference(resolution,status(thm),[c15,c0]) ).
cnf(c274,plain,
( ~ is_a_theorem(implies(implies(X5516,X5514),implies(implies(X5517,X5518),implies(X5518,X5516))))
| is_a_theorem(implies(X5515,implies(X5519,implies(implies(X5517,X5518),implies(X5518,X5516))))) ),
inference(resolution,status(thm),[c27,condensed_detachment]) ).
cnf(c3046,plain,
is_a_theorem(implies(X5526,implies(X5524,implies(implies(X5525,X5528),implies(X5528,implies(X5527,X5528)))))),
inference(resolution,status(thm),[c274,c645]) ).
cnf(c3089,plain,
( ~ is_a_theorem(X6983)
| is_a_theorem(implies(X6980,implies(implies(X6981,X6984),implies(X6984,implies(X6982,X6984))))) ),
inference(resolution,status(thm),[c3046,condensed_detachment]) ).
cnf(c5163,plain,
is_a_theorem(implies(X6986,implies(implies(X6987,X6985),implies(X6985,implies(X6988,X6985))))),
inference(resolution,status(thm),[c3089,c4]) ).
cnf(c5331,plain,
( ~ is_a_theorem(X8998)
| is_a_theorem(implies(implies(X9000,X9001),implies(X9001,implies(X8999,X9001)))) ),
inference(resolution,status(thm),[c5163,condensed_detachment]) ).
cnf(c7596,plain,
is_a_theorem(implies(implies(X9009,X9011),implies(X9011,implies(X9010,X9011)))),
inference(resolution,status(thm),[c5331,c4]) ).
cnf(c7792,plain,
is_a_theorem(implies(X9900,implies(X9901,implies(X9899,implies(X9902,X9899))))),
inference(resolution,status(thm),[c7596,c463]) ).
cnf(c8299,plain,
( ~ is_a_theorem(X9909)
| is_a_theorem(implies(X9912,implies(X9911,implies(X9910,X9911)))) ),
inference(resolution,status(thm),[c7792,condensed_detachment]) ).
cnf(c8509,plain,
is_a_theorem(implies(X9914,implies(X9913,implies(X9915,X9913)))),
inference(resolution,status(thm),[c8299,c4]) ).
cnf(c8724,plain,
( ~ is_a_theorem(X10892)
| is_a_theorem(implies(X10893,implies(X10891,X10893))) ),
inference(resolution,status(thm),[c8509,condensed_detachment]) ).
cnf(c9076,plain,
is_a_theorem(implies(X10894,implies(X10895,X10894))),
inference(resolution,status(thm),[c8724,c4]) ).
cnf(c9294,plain,
is_a_theorem(implies(implies(implies(X15247,X15248),X15247),implies(X15246,implies(X15245,X15247)))),
inference(resolution,status(thm),[c9076,c0]) ).
cnf(c12313,plain,
( ~ is_a_theorem(implies(implies(X16303,X16301),X16303))
| is_a_theorem(implies(X16304,implies(X16302,X16303))) ),
inference(resolution,status(thm),[c9294,condensed_detachment]) ).
cnf(c13363,plain,
is_a_theorem(implies(X19519,implies(X19515,implies(X19516,implies(implies(implies(X19517,X19518),X19517),X19517))))),
inference(resolution,status(thm),[c12313,c153]) ).
cnf(c14738,plain,
( ~ is_a_theorem(X25119)
| is_a_theorem(implies(X25117,implies(X25121,implies(implies(implies(X25120,X25118),X25120),X25120)))) ),
inference(resolution,status(thm),[c13363,condensed_detachment]) ).
cnf(c19529,plain,
is_a_theorem(implies(X25123,implies(X25125,implies(implies(implies(X25124,X25122),X25124),X25124)))),
inference(resolution,status(thm),[c14738,c206]) ).
cnf(c19903,plain,
( ~ is_a_theorem(X27192)
| is_a_theorem(implies(X27194,implies(implies(implies(X27191,X27193),X27191),X27191))) ),
inference(resolution,status(thm),[c19529,condensed_detachment]) ).
cnf(c20647,plain,
is_a_theorem(implies(X27207,implies(implies(implies(X27206,X27205),X27206),X27206))),
inference(resolution,status(thm),[c19903,c206]) ).
cnf(c21034,plain,
( ~ is_a_theorem(X28923)
| is_a_theorem(implies(implies(implies(X28925,X28924),X28925),X28925)) ),
inference(resolution,status(thm),[c20647,condensed_detachment]) ).
cnf(c22008,plain,
is_a_theorem(implies(implies(implies(X28926,X28927),X28926),X28926)),
inference(resolution,status(thm),[c21034,c206]) ).
cnf(c22407,plain,
$false,
inference(resolution,status(thm),[c22008,prove_ic_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL092-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 3 01:09:30 EDT 2022
% 0.11/0.33 % CPUTime :
% 36.43/36.62 # Version: 1.3
% 36.43/36.62 # SZS status Unsatisfiable
% 36.43/36.62 # SZS output start CNFRefutation
% See solution above
% 36.43/36.62
% 36.43/36.62 # Initial clauses : 3
% 36.43/36.62 # Processed clauses : 563
% 36.43/36.62 # Factors computed : 0
% 36.43/36.62 # Resolvents computed: 22433
% 36.43/36.62 # Tautologies deleted: 1
% 36.43/36.62 # Forward subsumed : 5916
% 36.43/36.62 # Backward subsumed : 128
% 36.43/36.62 # -------- CPU Time ---------
% 36.43/36.62 # User time : 36.222 s
% 36.43/36.62 # System time : 0.045 s
% 36.43/36.62 # Total time : 36.267 s
%------------------------------------------------------------------------------