TSTP Solution File: LCL095-1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 13:52:00 EDT 2022
% Result : Unsatisfiable 184.96s 185.18s
% Output : Refutation 184.96s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ic_5,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
input ).
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
input ).
cnf(ic_JLukasiewicz_5,axiom,
is_a_theorem(implies(implies(implies(X4,X5),implies(X8,X6)),implies(implies(X6,X4),implies(X7,implies(X8,X4))))),
input ).
cnf(c0,plain,
( ~ is_a_theorem(implies(implies(X10,X12),implies(X11,X13)))
| is_a_theorem(implies(implies(X13,X10),implies(X9,implies(X11,X10)))) ),
inference(resolution,status(thm),[ic_JLukasiewicz_5,condensed_detachment]) ).
cnf(c1,plain,
is_a_theorem(implies(implies(implies(X14,implies(X16,X15)),implies(X15,X17)),implies(X19,implies(implies(X18,X15),implies(X15,X17))))),
inference(resolution,status(thm),[c0,ic_JLukasiewicz_5]) ).
cnf(c3,plain,
( ~ is_a_theorem(implies(implies(X29,implies(X32,X31)),implies(X31,X27)))
| is_a_theorem(implies(X28,implies(implies(X30,X31),implies(X31,X27)))) ),
inference(resolution,status(thm),[c1,condensed_detachment]) ).
cnf(c6,plain,
is_a_theorem(implies(X37,implies(implies(X34,X33),implies(X33,implies(implies(X35,X36),implies(X36,X33)))))),
inference(resolution,status(thm),[c3,c1]) ).
cnf(c10,plain,
( ~ is_a_theorem(X39)
| is_a_theorem(implies(implies(X42,X41),implies(X41,implies(implies(X40,X38),implies(X38,X41))))) ),
inference(resolution,status(thm),[c6,condensed_detachment]) ).
cnf(c11,plain,
is_a_theorem(implies(implies(X43,X46),implies(X46,implies(implies(X45,X44),implies(X44,X46))))),
inference(resolution,status(thm),[c10,c1]) ).
cnf(c15,plain,
is_a_theorem(implies(implies(implies(implies(X74,X71),implies(X71,X73)),X72),implies(X75,implies(X73,X72)))),
inference(resolution,status(thm),[c11,c0]) ).
cnf(c27,plain,
is_a_theorem(implies(X80,implies(implies(X78,X76),implies(X76,implies(X77,implies(X79,X76)))))),
inference(resolution,status(thm),[c15,c3]) ).
cnf(c33,plain,
( ~ is_a_theorem(X88)
| is_a_theorem(implies(implies(X92,X91),implies(X91,implies(X89,implies(X90,X91))))) ),
inference(resolution,status(thm),[c27,condensed_detachment]) ).
cnf(c35,plain,
is_a_theorem(implies(implies(X94,X93),implies(X93,implies(X95,implies(X96,X93))))),
inference(resolution,status(thm),[c33,c1]) ).
cnf(c42,plain,
is_a_theorem(implies(implies(implies(X133,implies(X131,X134)),X132),implies(X135,implies(X134,X132)))),
inference(resolution,status(thm),[c35,c0]) ).
cnf(c55,plain,
( ~ is_a_theorem(implies(implies(X147,implies(X148,X150)),X151))
| is_a_theorem(implies(X149,implies(X150,X151))) ),
inference(resolution,status(thm),[c42,condensed_detachment]) ).
cnf(c61,plain,
is_a_theorem(implies(X231,implies(X232,implies(implies(X232,X229),implies(X228,implies(X230,X229)))))),
inference(resolution,status(thm),[c55,ic_JLukasiewicz_5]) ).
cnf(c117,plain,
( ~ is_a_theorem(X253)
| is_a_theorem(implies(X252,implies(implies(X252,X251),implies(X254,implies(X255,X251))))) ),
inference(resolution,status(thm),[c61,condensed_detachment]) ).
cnf(c125,plain,
is_a_theorem(implies(X266,implies(implies(X266,X265),implies(X267,implies(X264,X265))))),
inference(resolution,status(thm),[c117,c1]) ).
cnf(c153,plain,
is_a_theorem(implies(implies(implies(X2157,implies(X2156,X2155)),X2158),implies(X2159,implies(implies(implies(X2158,X2154),X2155),X2158)))),
inference(resolution,status(thm),[c125,c0]) ).
cnf(c2,plain,
is_a_theorem(implies(implies(implies(implies(X22,X24),implies(X24,X20)),implies(X23,implies(X26,X24))),implies(X25,implies(X21,implies(X23,implies(X26,X24)))))),
inference(resolution,status(thm),[c1,c0]) ).
cnf(c4,plain,
is_a_theorem(implies(implies(implies(X53,implies(X56,implies(X52,X55))),implies(implies(X57,X55),implies(X55,X51))),implies(X58,implies(X54,implies(implies(X57,X55),implies(X55,X51)))))),
inference(resolution,status(thm),[c2,c0]) ).
cnf(c9,plain,
is_a_theorem(implies(X170,implies(implies(X168,implies(X171,X169)),implies(implies(X171,X169),implies(X169,implies(implies(X167,X166),implies(X166,X169))))))),
inference(resolution,status(thm),[c6,c3]) ).
cnf(c90,plain,
is_a_theorem(implies(implies(implies(implies(X1199,X1198),implies(X1198,implies(implies(X1202,X1201),implies(X1201,X1198)))),X1200),implies(X1203,implies(implies(X1197,implies(X1199,X1198)),X1200)))),
inference(resolution,status(thm),[c9,c0]) ).
cnf(c19,plain,
( ~ is_a_theorem(implies(implies(X259,implies(X260,implies(X263,X261))),implies(implies(X257,X261),implies(X261,X256))))
| is_a_theorem(implies(X262,implies(X258,implies(implies(X257,X261),implies(X261,X256))))) ),
inference(resolution,status(thm),[c4,condensed_detachment]) ).
cnf(c140,plain,
is_a_theorem(implies(X630,implies(X626,implies(implies(implies(X627,X628),X628),implies(X628,implies(X629,X628)))))),
inference(resolution,status(thm),[c19,ic_JLukasiewicz_5]) ).
cnf(c341,plain,
( ~ is_a_theorem(X1052)
| is_a_theorem(implies(X1053,implies(implies(implies(X1054,X1055),X1055),implies(X1055,implies(X1051,X1055))))) ),
inference(resolution,status(thm),[c140,condensed_detachment]) ).
cnf(c538,plain,
is_a_theorem(implies(X1059,implies(implies(implies(X1058,X1056),X1056),implies(X1056,implies(X1057,X1056))))),
inference(resolution,status(thm),[c341,c4]) ).
cnf(c574,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(X1217,X1218),X1218),implies(X1218,implies(X1216,X1218)))),
inference(resolution,status(thm),[c574,c90]) ).
cnf(c644,plain,
is_a_theorem(implies(implies(implies(X1640,X1641),implies(X1642,X1641)),implies(X1643,implies(X1641,implies(X1642,X1641))))),
inference(resolution,status(thm),[c610,c0]) ).
cnf(c26,plain,
is_a_theorem(implies(implies(implies(X465,X466),implies(implies(X468,X469),implies(X469,X465))),implies(X470,implies(X467,implies(implies(X468,X469),implies(X469,X465)))))),
inference(resolution,status(thm),[c15,c0]) ).
cnf(c255,plain,
( ~ is_a_theorem(implies(implies(X4712,X4711),implies(implies(X4710,X4714),implies(X4714,X4712))))
| is_a_theorem(implies(X4715,implies(X4713,implies(implies(X4710,X4714),implies(X4714,X4712))))) ),
inference(resolution,status(thm),[c26,condensed_detachment]) ).
cnf(c2554,plain,
is_a_theorem(implies(X4720,implies(X4722,implies(implies(X4723,X4724),implies(X4724,implies(X4721,X4724)))))),
inference(resolution,status(thm),[c255,c644]) ).
cnf(c2638,plain,
( ~ is_a_theorem(X6038)
| is_a_theorem(implies(X6036,implies(implies(X6039,X6037),implies(X6037,implies(X6035,X6037))))) ),
inference(resolution,status(thm),[c2554,condensed_detachment]) ).
cnf(c4571,plain,
is_a_theorem(implies(X6042,implies(implies(X6043,X6041),implies(X6041,implies(X6040,X6041))))),
inference(resolution,status(thm),[c2638,c4]) ).
cnf(c4722,plain,
( ~ is_a_theorem(X6811)
| is_a_theorem(implies(implies(X6809,X6810),implies(X6810,implies(X6812,X6810)))) ),
inference(resolution,status(thm),[c4571,condensed_detachment]) ).
cnf(c5203,plain,
is_a_theorem(implies(implies(X6813,X6815),implies(X6815,implies(X6814,X6815)))),
inference(resolution,status(thm),[c4722,c4]) ).
cnf(c52,plain,
is_a_theorem(implies(implies(implies(X891,X888),implies(X889,implies(X890,X891))),implies(X893,implies(X892,implies(X889,implies(X890,X891)))))),
inference(resolution,status(thm),[c42,c0]) ).
cnf(c463,plain,
( ~ is_a_theorem(implies(implies(X7080,X7085),implies(X7082,implies(X7083,X7080))))
| is_a_theorem(implies(X7081,implies(X7084,implies(X7082,implies(X7083,X7080))))) ),
inference(resolution,status(thm),[c52,condensed_detachment]) ).
cnf(c5552,plain,
is_a_theorem(implies(X7545,implies(X7544,implies(X7543,implies(X7546,X7543))))),
inference(resolution,status(thm),[c463,c5203]) ).
cnf(c6260,plain,
( ~ is_a_theorem(X8191)
| is_a_theorem(implies(X8190,implies(X8193,implies(X8192,X8193)))) ),
inference(resolution,status(thm),[c5552,condensed_detachment]) ).
cnf(c7205,plain,
is_a_theorem(implies(X8195,implies(X8196,implies(X8194,X8196)))),
inference(resolution,status(thm),[c6260,c4]) ).
cnf(c7396,plain,
( ~ is_a_theorem(X9028)
| is_a_theorem(implies(X9029,implies(X9027,X9029))) ),
inference(resolution,status(thm),[c7205,condensed_detachment]) ).
cnf(c7822,plain,
is_a_theorem(implies(X9030,implies(X9031,X9030))),
inference(resolution,status(thm),[c7396,c4]) ).
cnf(c8014,plain,
is_a_theorem(implies(implies(implies(X13813,X13810),X13813),implies(X13812,implies(X13811,X13813)))),
inference(resolution,status(thm),[c7822,c0]) ).
cnf(c11740,plain,
( ~ is_a_theorem(implies(implies(X14851,X14854),X14851))
| is_a_theorem(implies(X14852,implies(X14853,X14851))) ),
inference(resolution,status(thm),[c8014,condensed_detachment]) ).
cnf(c12436,plain,
is_a_theorem(implies(X17864,implies(X17861,implies(X17865,implies(implies(implies(X17862,X17863),X17862),X17862))))),
inference(resolution,status(thm),[c11740,c153]) ).
cnf(c14151,plain,
( ~ is_a_theorem(X23275)
| is_a_theorem(implies(X23277,implies(X23273,implies(implies(implies(X23274,X23276),X23274),X23274)))) ),
inference(resolution,status(thm),[c12436,condensed_detachment]) ).
cnf(c18853,plain,
is_a_theorem(implies(X23278,implies(X23281,implies(implies(implies(X23280,X23279),X23280),X23280)))),
inference(resolution,status(thm),[c14151,c61]) ).
cnf(c19220,plain,
( ~ is_a_theorem(X25334)
| is_a_theorem(implies(X25336,implies(implies(implies(X25333,X25335),X25333),X25333))) ),
inference(resolution,status(thm),[c18853,condensed_detachment]) ).
cnf(c19694,plain,
is_a_theorem(implies(X25345,implies(implies(implies(X25346,X25347),X25346),X25346))),
inference(resolution,status(thm),[c19220,c61]) ).
cnf(c20099,plain,
( ~ is_a_theorem(X27052)
| is_a_theorem(implies(implies(implies(X27053,X27054),X27053),X27053)) ),
inference(resolution,status(thm),[c19694,condensed_detachment]) ).
cnf(c20899,plain,
is_a_theorem(implies(implies(implies(X27056,X27055),X27056),X27056)),
inference(resolution,status(thm),[c20099,c61]) ).
cnf(c21285,plain,
( ~ is_a_theorem(implies(implies(X28425,X28424),X28425))
| is_a_theorem(X28425) ),
inference(resolution,status(thm),[c20899,condensed_detachment]) ).
cnf(c113,plain,
is_a_theorem(implies(implies(implies(implies(X1843,X1841),implies(X1844,implies(X1845,X1841))),X1842),implies(X1846,implies(X1843,X1842)))),
inference(resolution,status(thm),[c61,c0]) ).
cnf(c12432,plain,
is_a_theorem(implies(X17846,implies(X17843,implies(implies(X17844,X17845),implies(X17844,implies(X17847,X17845)))))),
inference(resolution,status(thm),[c11740,c113]) ).
cnf(c14122,plain,
( ~ is_a_theorem(X19356)
| is_a_theorem(implies(X19359,implies(implies(X19358,X19357),implies(X19358,implies(X19355,X19357))))) ),
inference(resolution,status(thm),[c12432,condensed_detachment]) ).
cnf(c15051,plain,
is_a_theorem(implies(X19361,implies(implies(X19360,X19362),implies(X19360,implies(X19363,X19362))))),
inference(resolution,status(thm),[c14122,c4]) ).
cnf(c15367,plain,
is_a_theorem(implies(implies(implies(X64562,implies(X64561,X64564)),X64563),implies(X64565,implies(implies(X64562,X64564),X64563)))),
inference(resolution,status(thm),[c15051,c0]) ).
cnf(c69377,plain,
is_a_theorem(implies(X64566,implies(implies(X64566,X64567),X64567))),
inference(resolution,status(thm),[c15367,c21285]) ).
cnf(c69415,plain,
$false,
inference(resolution,status(thm),[c69377,prove_ic_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 12:50:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 184.96/185.18 # Version: 1.3
% 184.96/185.18 # SZS status Unsatisfiable
% 184.96/185.18 # SZS output start CNFRefutation
% See solution above
% 184.96/185.18
% 184.96/185.18 # Initial clauses : 3
% 184.96/185.18 # Processed clauses : 987
% 184.96/185.18 # Factors computed : 0
% 184.96/185.18 # Resolvents computed: 69446
% 184.96/185.18 # Tautologies deleted: 1
% 184.96/185.18 # Forward subsumed : 12016
% 184.96/185.18 # Backward subsumed : 227
% 184.96/185.18 # -------- CPU Time ---------
% 184.96/185.18 # User time : 184.636 s
% 184.96/185.18 # System time : 0.149 s
% 184.96/185.18 # Total time : 184.785 s
%------------------------------------------------------------------------------