TSTP Solution File: LCL230-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL230-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n013.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 : 300s
% DateTime : Fri Sep 1 17:19:30 EDT 2023
% Result : Unsatisfiable 57.06s 8.59s
% Output : Refutation 57.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1111
% Syntax : Number of formulae : 3676 ( 17 unt; 0 def)
% Number of atoms : 11574 ( 3 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 14690 (6792 ~;6796 |; 0 &)
% (1102 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 1106 (1104 usr;1103 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7872 (;7872 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70542,plain,
$false,
inference(avatar_sat_refutation,[],[f14,f18,f22,f26,f32,f36,f40,f45,f53,f57,f75,f81,f88,f92,f100,f104,f112,f116,f120,f124,f128,f132,f161,f165,f173,f177,f184,f188,f196,f200,f205,f209,f213,f217,f221,f225,f239,f261,f266,f270,f275,f287,f291,f302,f306,f310,f314,f320,f357,f365,f375,f379,f383,f387,f405,f412,f416,f420,f424,f428,f432,f477,f481,f485,f489,f493,f497,f501,f505,f509,f535,f592,f596,f621,f637,f641,f645,f649,f653,f657,f661,f665,f670,f764,f769,f775,f785,f789,f816,f821,f825,f829,f833,f837,f841,f845,f849,f938,f942,f946,f950,f954,f958,f1004,f1008,f1012,f1016,f1020,f1028,f1032,f1036,f1040,f1044,f1048,f1052,f1056,f1060,f1064,f1068,f1072,f1076,f1197,f1333,f1339,f1343,f1412,f1416,f1420,f1424,f1428,f1433,f1437,f1441,f1445,f1449,f1453,f1457,f1461,f1465,f1469,f1473,f1478,f1482,f1486,f1490,f1494,f1498,f1502,f1506,f1510,f1691,f1861,f1865,f1869,f1873,f1877,f1881,f1885,f2020,f2024,f2028,f2032,f2036,f2040,f2044,f2048,f2052,f2056,f2060,f2064,f2068,f2072,f2076,f2080,f2100,f2104,f2108,f2112,f2116,f2120,f2124,f2128,f2132,f2164,f2718,f2722,f2752,f2756,f2760,f2764,f2768,f2772,f2776,f2780,f2784,f2788,f2792,f2796,f2800,f2804,f2819,f2823,f2827,f2831,f2835,f2839,f2843,f2847,f2851,f2855,f2859,f2863,f2867,f2871,f2875,f2879,f2883,f3263,f3602,f3668,f3672,f3676,f3680,f3684,f3688,f3692,f3696,f3700,f3704,f3837,f3972,f3976,f3980,f3984,f4128,f4132,f4194,f4198,f4202,f4206,f4210,f4214,f4218,f4222,f4226,f4230,f4234,f4238,f4242,f4246,f4250,f4254,f4258,f4262,f4266,f4270,f4274,f4278,f4350,f4863,f4867,f4871,f4899,f4903,f4907,f4914,f4918,f5074,f5078,f5082,f5086,f5090,f5094,f5098,f5102,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5127,f5128,f5129,f5130,f7458,f8257,f8854,f9174,f9178,f9182,f9186,f9190,f9194,f9198,f9222,f9226,f9230,f9234,f9238,f9242,f9246,f9250,f9254,f9258,f9262,f9266,f9270,f9274,f9278,f9282,f9286,f9290,f9294,f9298,f9302,f9306,f9310,f9314,f9318,f9322,f9326,f9330,f9334,f9338,f9342,f9346,f9357,f9361,f9365,f9369,f9373,f9377,f9381,f9385,f9782,f10127,f10693,f10984,f10988,f10992,f10996,f11000,f11004,f11008,f11012,f11016,f11020,f11030,f11035,f11049,f11050,f11051,f11052,f11053,f13810,f16218,f16488,f16713,f16717,f16721,f16725,f16729,f16733,f16737,f16741,f16745,f16749,f16753,f16757,f16761,f16765,f16769,f16773,f16777,f16781,f16785,f16789,f16793,f16797,f16801,f16805,f16809,f17119,f17460,f17816,f17848,f17852,f17856,f17860,f17864,f17868,f17872,f17876,f17880,f17887,f17891,f17895,f17899,f17903,f17907,f17911,f17915,f17919,f17923,f17929,f17933,f17937,f17941,f17945,f17949,f17953,f17957,f17961,f17965,f17970,f17974,f17978,f17982,f17986,f17990,f17994,f17998,f18002,f18006,f18010,f18024,f18028,f18032,f18036,f18040,f18044,f18048,f18052,f18056,f18060,f18064,f18068,f18072,f18076,f18080,f18084,f18088,f18092,f18096,f18100,f18104,f18108,f18112,f18116,f18120,f18124,f18128,f18132,f18136,f18140,f18144,f18148,f18152,f18156,f18160,f18164,f18168,f18172,f18176,f18180,f18184,f18188,f18192,f18196,f18200,f18204,f18208,f18212,f18216,f18220,f18224,f18228,f18232,f18236,f18240,f18244,f18248,f18252,f18256,f18260,f18264,f18268,f18272,f18276,f18280,f18284,f18288,f18292,f18296,f18300,f18304,f18308,f18312,f18316,f18320,f18324,f18328,f18332,f18336,f18340,f18344,f18348,f18352,f18356,f18431,f18973,f19451,f20069,f20578,f20915,f21322,f22030,f23526,f23640,f23644,f23648,f23652,f23656,f23660,f23664,f23669,f23673,f23677,f23681,f23685,f23689,f23695,f23703,f23707,f23711,f23715,f23719,f23723,f23727,f23731,f23735,f23739,f23743,f23747,f23751,f23755,f23759,f23763,f23767,f23771,f23775,f23779,f23783,f23787,f23791,f23795,f23799,f23803,f23807,f23811,f23815,f23819,f23823,f23827,f23831,f23835,f23839,f23843,f23847,f23851,f23855,f23859,f23863,f23867,f23871,f23875,f23879,f23883,f23887,f23891,f23895,f23899,f23903,f23907,f23911,f24034,f24356,f26644,f27053,f27064,f27068,f27072,f27076,f27080,f27084,f27088,f27092,f27096,f27100,f27105,f27109,f27113,f27117,f27121,f27125,f27129,f27133,f27137,f27141,f27145,f27150,f27154,f27158,f27162,f27166,f27170,f27174,f27178,f27182,f27186,f27190,f27196,f27200,f27204,f27208,f27212,f27216,f27220,f27224,f27228,f27232,f27239,f27243,f27247,f27251,f27255,f27259,f27263,f27267,f27271,f27275,f27335,f27339,f27343,f27347,f27351,f27355,f27359,f27363,f27367,f27371,f27438,f27442,f27446,f27450,f27454,f27458,f27462,f27466,f27470,f27474,f27540,f27544,f27548,f27552,f27556,f27560,f27564,f27568,f27572,f27576,f27646,f27650,f27654,f27658,f27662,f27666,f27670,f27674,f27678,f27682,f27748,f27752,f27756,f27760,f27764,f27768,f27772,f27776,f27780,f27784,f27788,f27792,f27796,f27800,f27804,f27808,f27812,f27816,f27820,f27824,f27828,f27847,f27851,f27855,f27859,f27863,f27867,f27871,f27875,f27879,f27883,f27916,f27920,f27924,f27928,f27932,f27936,f27940,f27944,f27948,f27952,f28009,f28013,f28017,f28021,f28025,f28029,f28033,f28037,f28041,f28045,f28093,f28097,f28101,f28105,f28109,f28113,f28117,f28121,f28125,f28129,f28193,f28197,f28201,f28205,f28209,f28213,f28217,f28221,f28225,f28229,f28289,f28293,f28297,f28301,f28305,f28309,f28313,f28317,f28321,f28325,f28388,f28392,f28898,f31968,f33288,f34517,f35224,f35951,f36671,f38015,f39277,f40485,f40754,f40758,f40762,f40766,f40770,f40774,f40778,f40782,f40786,f40790,f40794,f40798,f40802,f40806,f40810,f40819,f40823,f40827,f40831,f40835,f40839,f40843,f40847,f40851,f40855,f40859,f40865,f40869,f40873,f40877,f40881,f40885,f40889,f40893,f40897,f40901,f40906,f40910,f40914,f40918,f40922,f40926,f40930,f40934,f40938,f40942,f40946,f40950,f40954,f40958,f40962,f40966,f40970,f40974,f40978,f40982,f40986,f40992,f40996,f41000,f41004,f41008,f41012,f41016,f41020,f41024,f41028,f41033,f41037,f41041,f41045,f41049,f41053,f41057,f41061,f41065,f41069,f41073,f41077,f41081,f41085,f41089,f41093,f41097,f41101,f41168,f43064,f44331,f45320,f46072,f46077,f46081,f46085,f46089,f46093,f46097,f46101,f46105,f46109,f46113,f46117,f46121,f46125,f46129,f46133,f46137,f46141,f46145,f46149,f46153,f46157,f46174,f46178,f46182,f46186,f46190,f46194,f46198,f46202,f46206,f46210,f46215,f46219,f46223,f46227,f46231,f46235,f46239,f46243,f46247,f46251,f46255,f46265,f46269,f46273,f46277,f46281,f46285,f46289,f46293,f46297,f46301,f46310,f46314,f46318,f46322,f46326,f46330,f46334,f46338,f46342,f46346,f46350,f46358,f46362,f46366,f46370,f46374,f46378,f46382,f46386,f46390,f46394,f46408,f46412,f46416,f46420,f46424,f46428,f46432,f46436,f46440,f46444,f46449,f46453,f46457,f46461,f46465,f46469,f46473,f46477,f46481,f46485,f46489,f46494,f46498,f46502,f46506,f46510,f46514,f46518,f46522,f46526,f46530,f46535,f46539,f46543,f46547,f46551,f46555,f46559,f46563,f46567,f46571,f46575,f46580,f46584,f46588,f46592,f46596,f46600,f46604,f46608,f46612,f46616,f46620,f46627,f46631,f46635,f46639,f46643,f46647,f46651,f46655,f46659,f46663,f46670,f46674,f46678,f46682,f46686,f46690,f46694,f46698,f46702,f46706,f46711,f46715,f46719,f46723,f46727,f46731,f46735,f46739,f46743,f46747,f46751,f46756,f46760,f46764,f46768,f46772,f46776,f46780,f46784,f46788,f46792,f46796,f46804,f46808,f46812,f46816,f46820,f46824,f46828,f46832,f46836,f46840,f46848,f46852,f46856,f46860,f46864,f46868,f46872,f46876,f46880,f46884,f46940,f46944,f46948,f46952,f46956,f46960,f46964,f46968,f46972,f46976,f47057,f47061,f47065,f47069,f47073,f47077,f47081,f47085,f47089,f47093,f47097,f47101,f47105,f47109,f47113,f47117,f47121,f47125,f47129,f47133,f47137,f47143,f47147,f47151,f47155,f47159,f47163,f47167,f47171,f47175,f47657,f51286,f53287,f63436,f66493,f68259,f70485,f70490,f70494,f70498,f70502,f70506,f70510,f70514,f70518,f70522,f70526,f70530,f70541]) ).
fof(f70541,plain,
( ~ spl0_11
| spl0_1092 ),
inference(avatar_contradiction_clause,[],[f70531]) ).
fof(f70531,plain,
( $false
| ~ spl0_11
| spl0_1092 ),
inference(resolution,[],[f70489,f74]) ).
fof(f74,plain,
( ! [X0,X1] : theorem(implies(X0,or(X1,X0)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl0_11
<=> ! [X0,X1] : theorem(implies(X0,or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f70489,plain,
( ~ theorem(implies(q,or(p,q)))
| spl0_1092 ),
inference(avatar_component_clause,[],[f70487]) ).
fof(f70487,plain,
( spl0_1092
<=> theorem(implies(q,or(p,q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1092])]) ).
fof(f70530,plain,
( spl0_1102
| ~ spl0_113
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1786,f1484,f1038,f70528]) ).
fof(f70528,plain,
( spl0_1102
<=> ! [X32,X31] :
( ~ theorem(implies(not(X31),not(implies(X31,not(X31)))))
| theorem(or(X32,not(implies(X31,not(X31))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1102])]) ).
fof(f1038,plain,
( spl0_113
<=> ! [X6,X7] :
( theorem(or(X6,not(X7)))
| ~ theorem(implies(X7,not(X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1484,plain,
( spl0_145
<=> ! [X60,X59] :
( theorem(implies(implies(X59,not(X59)),X60))
| ~ theorem(implies(not(X59),X60)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1786,plain,
( ! [X31,X32] :
( ~ theorem(implies(not(X31),not(implies(X31,not(X31)))))
| theorem(or(X32,not(implies(X31,not(X31))))) )
| ~ spl0_113
| ~ spl0_145 ),
inference(resolution,[],[f1485,f1039]) ).
fof(f1039,plain,
( ! [X6,X7] :
( ~ theorem(implies(X7,not(X7)))
| theorem(or(X6,not(X7))) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1485,plain,
( ! [X59,X60] :
( theorem(implies(implies(X59,not(X59)),X60))
| ~ theorem(implies(not(X59),X60)) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f70526,plain,
( spl0_1101
| ~ spl0_72
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1677,f1459,f590,f70524]) ).
fof(f70524,plain,
( spl0_1101
<=> ! [X38,X36,X35,X37] : theorem(or(implies(implies(X35,or(or(X36,not(X37)),X38)),implies(X35,X38)),implies(X37,X36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1101])]) ).
fof(f590,plain,
( spl0_72
<=> ! [X13,X14,X15] :
( theorem(or(X13,implies(X14,X15)))
| ~ theorem(or(X13,or(X15,not(X14)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f1459,plain,
( spl0_139
<=> ! [X4,X5,X3] : theorem(or(implies(implies(X3,or(X4,X5)),implies(X3,X5)),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1677,plain,
( ! [X38,X36,X37,X35] : theorem(or(implies(implies(X35,or(or(X36,not(X37)),X38)),implies(X35,X38)),implies(X37,X36)))
| ~ spl0_72
| ~ spl0_139 ),
inference(resolution,[],[f1460,f591]) ).
fof(f591,plain,
( ! [X14,X15,X13] :
( ~ theorem(or(X13,or(X15,not(X14))))
| theorem(or(X13,implies(X14,X15))) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f1460,plain,
( ! [X3,X4,X5] : theorem(or(implies(implies(X3,or(X4,X5)),implies(X3,X5)),X4))
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f70522,plain,
( spl0_1100
| ~ spl0_72
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1639,f1451,f590,f70520]) ).
fof(f70520,plain,
( spl0_1100
<=> ! [X38,X36,X35,X37] :
( ~ theorem(implies(X35,X36))
| theorem(or(implies(or(or(X37,not(X38)),X35),X36),implies(X38,X37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1100])]) ).
fof(f1451,plain,
( spl0_137
<=> ! [X4,X5,X3] :
( ~ theorem(implies(X3,X4))
| theorem(or(implies(or(X5,X3),X4),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1639,plain,
( ! [X38,X36,X37,X35] :
( ~ theorem(implies(X35,X36))
| theorem(or(implies(or(or(X37,not(X38)),X35),X36),implies(X38,X37))) )
| ~ spl0_72
| ~ spl0_137 ),
inference(resolution,[],[f1452,f591]) ).
fof(f1452,plain,
( ! [X3,X4,X5] :
( theorem(or(implies(or(X5,X3),X4),X5))
| ~ theorem(implies(X3,X4)) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1451]) ).
fof(f70518,plain,
( spl0_1099
| ~ spl0_72
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1616,f1447,f590,f70516]) ).
fof(f70516,plain,
( spl0_1099
<=> ! [X38,X36,X35,X37] : theorem(or(implies(or(X35,or(or(X36,not(X37)),X38)),or(X35,X38)),implies(X37,X36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1099])]) ).
fof(f1447,plain,
( spl0_136
<=> ! [X4,X5,X3] : theorem(or(implies(or(X3,or(X4,X5)),or(X3,X5)),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1616,plain,
( ! [X38,X36,X37,X35] : theorem(or(implies(or(X35,or(or(X36,not(X37)),X38)),or(X35,X38)),implies(X37,X36)))
| ~ spl0_72
| ~ spl0_136 ),
inference(resolution,[],[f1448,f591]) ).
fof(f1448,plain,
( ! [X3,X4,X5] : theorem(or(implies(or(X3,or(X4,X5)),or(X3,X5)),X4))
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f70514,plain,
( spl0_1098
| ~ spl0_73
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1529,f1414,f594,f70512]) ).
fof(f70512,plain,
( spl0_1098
<=> ! [X41,X42,X44,X43] :
( theorem(or(or(X41,or(X42,not(X43))),X44))
| ~ theorem(or(or(X44,X44),implies(X43,X42))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1098])]) ).
fof(f594,plain,
( spl0_73
<=> ! [X48,X46,X47] :
( theorem(or(X46,or(X47,not(X48))))
| ~ theorem(or(X46,implies(X48,X47))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1414,plain,
( spl0_128
<=> ! [X9,X8,X10] :
( theorem(or(or(X8,X9),X10))
| ~ theorem(or(or(X10,X10),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1529,plain,
( ! [X41,X44,X42,X43] :
( theorem(or(or(X41,or(X42,not(X43))),X44))
| ~ theorem(or(or(X44,X44),implies(X43,X42))) )
| ~ spl0_73
| ~ spl0_128 ),
inference(resolution,[],[f1415,f595]) ).
fof(f595,plain,
( ! [X48,X46,X47] :
( theorem(or(X46,or(X47,not(X48))))
| ~ theorem(or(X46,implies(X48,X47))) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f1415,plain,
( ! [X10,X8,X9] :
( ~ theorem(or(or(X10,X10),X9))
| theorem(or(or(X8,X9),X10)) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f70510,plain,
( spl0_1097
| ~ spl0_80
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f992,f948,f655,f70508]) ).
fof(f70508,plain,
( spl0_1097
<=> ! [X38,X36,X39,X37] : theorem(or(implies(implies(X36,implies(X37,implies(X38,X39))),not(X36)),implies(X38,implies(X37,X39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1097])]) ).
fof(f655,plain,
( spl0_80
<=> ! [X41,X40,X42,X43] :
( theorem(or(X40,implies(X41,implies(X42,X43))))
| ~ theorem(or(X40,implies(X42,implies(X41,X43)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f948,plain,
( spl0_102
<=> ! [X2,X3] : theorem(or(implies(implies(X2,X3),not(X2)),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f992,plain,
( ! [X38,X39,X36,X37] : theorem(or(implies(implies(X36,implies(X37,implies(X38,X39))),not(X36)),implies(X38,implies(X37,X39))))
| ~ spl0_80
| ~ spl0_102 ),
inference(resolution,[],[f949,f656]) ).
fof(f656,plain,
( ! [X40,X41,X42,X43] :
( ~ theorem(or(X40,implies(X42,implies(X41,X43))))
| theorem(or(X40,implies(X41,implies(X42,X43)))) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f949,plain,
( ! [X2,X3] : theorem(or(implies(implies(X2,X3),not(X2)),X3))
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f948]) ).
fof(f70506,plain,
( spl0_1096
| ~ spl0_81
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f991,f948,f659,f70504]) ).
fof(f70504,plain,
( spl0_1096
<=> ! [X35,X34,X33,X32] : theorem(or(implies(implies(X32,implies(X33,or(X34,X35))),not(X32)),or(X34,implies(X33,X35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1096])]) ).
fof(f659,plain,
( spl0_81
<=> ! [X51,X50,X49,X52] :
( theorem(or(X49,or(X50,implies(X51,X52))))
| ~ theorem(or(X49,implies(X51,or(X50,X52)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f991,plain,
( ! [X34,X35,X32,X33] : theorem(or(implies(implies(X32,implies(X33,or(X34,X35))),not(X32)),or(X34,implies(X33,X35))))
| ~ spl0_81
| ~ spl0_102 ),
inference(resolution,[],[f949,f660]) ).
fof(f660,plain,
( ! [X50,X51,X49,X52] :
( ~ theorem(or(X49,implies(X51,or(X50,X52))))
| theorem(or(X49,or(X50,implies(X51,X52)))) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f70502,plain,
( spl0_1095
| ~ spl0_82
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f989,f948,f663,f70500]) ).
fof(f70500,plain,
( spl0_1095
<=> ! [X28,X27,X25,X26] :
( theorem(or(implies(implies(X25,implies(X26,X27)),not(X25)),implies(X26,X28)))
| ~ theorem(implies(X27,X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1095])]) ).
fof(f663,plain,
( spl0_82
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,implies(X3,X1)))
| ~ theorem(or(X2,implies(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f989,plain,
( ! [X28,X26,X27,X25] :
( theorem(or(implies(implies(X25,implies(X26,X27)),not(X25)),implies(X26,X28)))
| ~ theorem(implies(X27,X28)) )
| ~ spl0_82
| ~ spl0_102 ),
inference(resolution,[],[f949,f664]) ).
fof(f664,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X2,implies(X3,X0)))
| theorem(or(X2,implies(X3,X1)))
| ~ theorem(implies(X0,X1)) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f70498,plain,
( spl0_1094
| ~ spl0_77
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f987,f948,f643,f70496]) ).
fof(f70496,plain,
( spl0_1094
<=> ! [X18,X19,X20,X21] : theorem(or(implies(implies(X18,or(X19,implies(X20,X21))),not(X18)),implies(X20,or(X19,X21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1094])]) ).
fof(f643,plain,
( spl0_77
<=> ! [X18,X17,X16,X19] :
( theorem(or(X16,implies(X17,or(X18,X19))))
| ~ theorem(or(X16,or(X18,implies(X17,X19)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f987,plain,
( ! [X21,X18,X19,X20] : theorem(or(implies(implies(X18,or(X19,implies(X20,X21))),not(X18)),implies(X20,or(X19,X21))))
| ~ spl0_77
| ~ spl0_102 ),
inference(resolution,[],[f949,f644]) ).
fof(f644,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(or(X16,or(X18,implies(X17,X19))))
| theorem(or(X16,implies(X17,or(X18,X19)))) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f70494,plain,
( spl0_1093
| ~ spl0_75
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f986,f948,f635,f70492]) ).
fof(f70492,plain,
( spl0_1093
<=> ! [X17,X14,X16,X15] : theorem(or(implies(implies(X14,or(X15,or(X16,X17))),not(X14)),or(X16,or(X15,X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1093])]) ).
fof(f635,plain,
( spl0_75
<=> ! [X5,X7,X6,X8] :
( theorem(or(X5,or(X6,or(X7,X8))))
| ~ theorem(or(X5,or(X7,or(X6,X8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f986,plain,
( ! [X16,X14,X17,X15] : theorem(or(implies(implies(X14,or(X15,or(X16,X17))),not(X14)),or(X16,or(X15,X17))))
| ~ spl0_75
| ~ spl0_102 ),
inference(resolution,[],[f949,f636]) ).
fof(f636,plain,
( ! [X8,X6,X7,X5] :
( ~ theorem(or(X5,or(X7,or(X6,X8))))
| theorem(or(X5,or(X6,or(X7,X8)))) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f70490,plain,
( ~ spl0_1092
| ~ spl0_429
| spl0_1090 ),
inference(avatar_split_clause,[],[f69615,f68256,f18082,f70487]) ).
fof(f18082,plain,
( spl0_429
<=> ! [X24,X22,X23] :
( theorem(implies(implies(X22,X23),implies(X24,X23)))
| ~ theorem(implies(X24,X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f68256,plain,
( spl0_1090
<=> theorem(implies(implies(or(p,q),r),implies(q,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1090])]) ).
fof(f69615,plain,
( ~ theorem(implies(q,or(p,q)))
| ~ spl0_429
| spl0_1090 ),
inference(resolution,[],[f68258,f18083]) ).
fof(f18083,plain,
( ! [X24,X22,X23] :
( theorem(implies(implies(X22,X23),implies(X24,X23)))
| ~ theorem(implies(X24,X22)) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f18082]) ).
fof(f68258,plain,
( ~ theorem(implies(implies(or(p,q),r),implies(q,r)))
| spl0_1090 ),
inference(avatar_component_clause,[],[f68256]) ).
fof(f70485,plain,
( spl0_1091
| ~ spl0_76
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f983,f948,f639,f70483]) ).
fof(f70483,plain,
( spl0_1091
<=> ! [X5,X4,X7,X6] :
( theorem(or(implies(implies(X4,or(X5,X6)),not(X4)),or(X5,X7)))
| ~ theorem(implies(X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1091])]) ).
fof(f639,plain,
( spl0_76
<=> ! [X10,X11,X12,X9] :
( theorem(or(X9,or(X10,X11)))
| ~ theorem(or(X9,or(X10,X12)))
| ~ theorem(implies(X12,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f983,plain,
( ! [X6,X7,X4,X5] :
( theorem(or(implies(implies(X4,or(X5,X6)),not(X4)),or(X5,X7)))
| ~ theorem(implies(X6,X7)) )
| ~ spl0_76
| ~ spl0_102 ),
inference(resolution,[],[f949,f640]) ).
fof(f640,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(or(X9,or(X10,X12)))
| theorem(or(X9,or(X10,X11)))
| ~ theorem(implies(X12,X11)) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f68259,plain,
( ~ spl0_1090
| spl0_1
| ~ spl0_1020 ),
inference(avatar_split_clause,[],[f63908,f46782,f11,f68256]) ).
fof(f11,plain,
( spl0_1
<=> theorem(implies(implies(or(p,q),or(p,r)),or(p,implies(q,r)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f46782,plain,
( spl0_1020
<=> ! [X10,X11,X9,X8] :
( theorem(implies(implies(X8,or(X9,X10)),or(X9,X11)))
| ~ theorem(implies(implies(X8,X10),X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1020])]) ).
fof(f63908,plain,
( ~ theorem(implies(implies(or(p,q),r),implies(q,r)))
| spl0_1
| ~ spl0_1020 ),
inference(resolution,[],[f46783,f13]) ).
fof(f13,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),or(p,implies(q,r))))
| spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f46783,plain,
( ! [X10,X11,X8,X9] :
( theorem(implies(implies(X8,or(X9,X10)),or(X9,X11)))
| ~ theorem(implies(implies(X8,X10),X11)) )
| ~ spl0_1020 ),
inference(avatar_component_clause,[],[f46782]) ).
fof(f66493,plain,
( ~ spl0_1089
| ~ spl0_29
| spl0_1088 ),
inference(avatar_split_clause,[],[f65287,f63433,f194,f66490]) ).
fof(f66490,plain,
( spl0_1089
<=> theorem(not(or(p,q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1089])]) ).
fof(f194,plain,
( spl0_29
<=> ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f63433,plain,
( spl0_1088
<=> theorem(implies(or(p,r),not(or(p,q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1088])]) ).
fof(f65287,plain,
( ~ theorem(not(or(p,q)))
| ~ spl0_29
| spl0_1088 ),
inference(resolution,[],[f63435,f195]) ).
fof(f195,plain,
( ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(X1) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f63435,plain,
( ~ theorem(implies(or(p,r),not(or(p,q))))
| spl0_1088 ),
inference(avatar_component_clause,[],[f63433]) ).
fof(f63436,plain,
( ~ spl0_1087
| ~ spl0_1088
| spl0_373
| ~ spl0_1007 ),
inference(avatar_split_clause,[],[f62697,f46729,f17813,f63433,f63429]) ).
fof(f63429,plain,
( spl0_1087
<=> theorem(implies(not(or(p,q)),not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1087])]) ).
fof(f17813,plain,
( spl0_373
<=> theorem(implies(implies(or(p,q),or(p,r)),not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f46729,plain,
( spl0_1007
<=> ! [X2,X0,X1] :
( theorem(implies(implies(X0,X1),X2))
| ~ theorem(implies(X1,not(X0)))
| ~ theorem(implies(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1007])]) ).
fof(f62697,plain,
( ~ theorem(implies(or(p,r),not(or(p,q))))
| ~ theorem(implies(not(or(p,q)),not(q)))
| spl0_373
| ~ spl0_1007 ),
inference(resolution,[],[f46730,f17815]) ).
fof(f17815,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),not(q)))
| spl0_373 ),
inference(avatar_component_clause,[],[f17813]) ).
fof(f46730,plain,
( ! [X2,X0,X1] :
( theorem(implies(implies(X0,X1),X2))
| ~ theorem(implies(X1,not(X0)))
| ~ theorem(implies(not(X0),X2)) )
| ~ spl0_1007 ),
inference(avatar_component_clause,[],[f46729]) ).
fof(f53287,plain,
( spl0_1086
| ~ spl0_90
| ~ spl0_1085 ),
inference(avatar_split_clause,[],[f52492,f51284,f814,f53285]) ).
fof(f53285,plain,
( spl0_1086
<=> ! [X3] : ~ theorem(not(or(X3,not(X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1086])]) ).
fof(f814,plain,
( spl0_90
<=> ! [X3] :
( ~ theorem(not(X3))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f51284,plain,
( spl0_1085
<=> ! [X137] : theorem(not(not(or(X137,not(X137))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1085])]) ).
fof(f52492,plain,
( ! [X3] : ~ theorem(not(or(X3,not(X3))))
| ~ spl0_90
| ~ spl0_1085 ),
inference(resolution,[],[f51285,f815]) ).
fof(f815,plain,
( ! [X3] :
( ~ theorem(not(X3))
| ~ theorem(X3) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f51285,plain,
( ! [X137] : theorem(not(not(or(X137,not(X137)))))
| ~ spl0_1085 ),
inference(avatar_component_clause,[],[f51284]) ).
fof(f51286,plain,
( spl0_1085
| ~ spl0_231
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f50245,f24032,f3835,f51284]) ).
fof(f3835,plain,
( spl0_231
<=> ! [X13,X12] : theorem(or(X12,or(X13,not(X13)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f24032,plain,
( spl0_575
<=> ! [X100] :
( theorem(not(not(X100)))
| ~ theorem(or(X100,X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f50245,plain,
( ! [X137] : theorem(not(not(or(X137,not(X137)))))
| ~ spl0_231
| ~ spl0_575 ),
inference(resolution,[],[f24033,f3836]) ).
fof(f3836,plain,
( ! [X12,X13] : theorem(or(X12,or(X13,not(X13))))
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f3835]) ).
fof(f24033,plain,
( ! [X100] :
( ~ theorem(or(X100,X100))
| theorem(not(not(X100))) )
| ~ spl0_575 ),
inference(avatar_component_clause,[],[f24032]) ).
fof(f47657,plain,
( spl0_1084
| ~ spl0_165
| ~ spl0_864 ),
inference(avatar_split_clause,[],[f47549,f46111,f2038,f47655]) ).
fof(f47655,plain,
( spl0_1084
<=> ! [X0] : theorem(or(X0,not(or(X0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1084])]) ).
fof(f2038,plain,
( spl0_165
<=> ! [X4,X3] : theorem(implies(X3,or(X3,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f46111,plain,
( spl0_864
<=> ! [X2,X3] :
( theorem(or(X2,not(or(X3,X3))))
| ~ theorem(implies(X3,or(X2,not(or(X3,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_864])]) ).
fof(f47549,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_165
| ~ spl0_864 ),
inference(resolution,[],[f46112,f2039]) ).
fof(f2039,plain,
( ! [X3,X4] : theorem(implies(X3,or(X3,X4)))
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f46112,plain,
( ! [X2,X3] :
( ~ theorem(implies(X3,or(X2,not(or(X3,X3)))))
| theorem(or(X2,not(or(X3,X3)))) )
| ~ spl0_864 ),
inference(avatar_component_clause,[],[f46111]) ).
fof(f47175,plain,
( spl0_1083
| ~ spl0_146
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f4186,f4130,f1488,f47173]) ).
fof(f47173,plain,
( spl0_1083
<=> ! [X94,X95,X93,X96] :
( theorem(or(X93,implies(implies(X94,X95),implies(X94,not(X96)))))
| ~ theorem(implies(X96,not(X95))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1083])]) ).
fof(f1488,plain,
( spl0_146
<=> ! [X18,X17,X19] :
( theorem(or(X17,implies(X18,not(X19))))
| ~ theorem(implies(X19,not(X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f4130,plain,
( spl0_237
<=> ! [X11,X13,X14,X12] :
( ~ theorem(or(or(X11,implies(implies(X12,X13),implies(X12,X14))),implies(X13,X14)))
| theorem(or(X11,implies(implies(X12,X13),implies(X12,X14)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f4186,plain,
( ! [X96,X94,X95,X93] :
( theorem(or(X93,implies(implies(X94,X95),implies(X94,not(X96)))))
| ~ theorem(implies(X96,not(X95))) )
| ~ spl0_146
| ~ spl0_237 ),
inference(resolution,[],[f4131,f1489]) ).
fof(f1489,plain,
( ! [X18,X19,X17] :
( theorem(or(X17,implies(X18,not(X19))))
| ~ theorem(implies(X19,not(X18))) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f4131,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(or(or(X11,implies(implies(X12,X13),implies(X12,X14))),implies(X13,X14)))
| theorem(or(X11,implies(implies(X12,X13),implies(X12,X14)))) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f4130]) ).
fof(f47171,plain,
( spl0_1082
| ~ spl0_146
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f4154,f4126,f1488,f47169]) ).
fof(f47169,plain,
( spl0_1082
<=> ! [X94,X95,X93,X96] :
( theorem(or(X93,implies(or(X94,X95),or(X94,not(X96)))))
| ~ theorem(implies(X96,not(X95))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1082])]) ).
fof(f4126,plain,
( spl0_236
<=> ! [X11,X13,X14,X12] :
( ~ theorem(or(or(X11,implies(or(X12,X13),or(X12,X14))),implies(X13,X14)))
| theorem(or(X11,implies(or(X12,X13),or(X12,X14)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f4154,plain,
( ! [X96,X94,X95,X93] :
( theorem(or(X93,implies(or(X94,X95),or(X94,not(X96)))))
| ~ theorem(implies(X96,not(X95))) )
| ~ spl0_146
| ~ spl0_236 ),
inference(resolution,[],[f4127,f1489]) ).
fof(f4127,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(or(or(X11,implies(or(X12,X13),or(X12,X14))),implies(X13,X14)))
| theorem(or(X11,implies(or(X12,X13),or(X12,X14)))) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f4126]) ).
fof(f47167,plain,
( spl0_1081
| ~ spl0_25
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f4101,f3982,f171,f47165]) ).
fof(f47165,plain,
( spl0_1081
<=> ! [X50,X48,X49] :
( theorem(or(X48,implies(implies(X49,X50),not(X49))))
| ~ theorem(or(X48,implies(X50,not(X49)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1081])]) ).
fof(f171,plain,
( spl0_25
<=> ! [X0] : theorem(implies(implies(X0,not(X0)),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f3982,plain,
( spl0_235
<=> ! [X31,X33,X34,X30,X32] :
( theorem(or(X30,implies(implies(X31,X32),X33)))
| ~ theorem(implies(implies(X31,X34),X33))
| ~ theorem(or(X30,implies(X32,X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f4101,plain,
( ! [X50,X48,X49] :
( theorem(or(X48,implies(implies(X49,X50),not(X49))))
| ~ theorem(or(X48,implies(X50,not(X49)))) )
| ~ spl0_25
| ~ spl0_235 ),
inference(resolution,[],[f3983,f172]) ).
fof(f172,plain,
( ! [X0] : theorem(implies(implies(X0,not(X0)),not(X0)))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f3983,plain,
( ! [X31,X34,X32,X30,X33] :
( ~ theorem(implies(implies(X31,X34),X33))
| theorem(or(X30,implies(implies(X31,X32),X33)))
| ~ theorem(or(X30,implies(X32,X34))) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f3982]) ).
fof(f47163,plain,
( spl0_1080
| ~ spl0_13
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f4059,f3978,f86,f47161]) ).
fof(f47161,plain,
( spl0_1080
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,implies(or(X13,X14),or(X15,X13))))
| ~ theorem(or(X12,implies(X14,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1080])]) ).
fof(f86,plain,
( spl0_13
<=> ! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f3978,plain,
( spl0_234
<=> ! [X24,X21,X23,X25,X22] :
( theorem(or(X21,implies(or(X22,X23),X24)))
| ~ theorem(implies(or(X22,X25),X24))
| ~ theorem(or(X21,implies(X23,X25))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f4059,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,implies(or(X13,X14),or(X15,X13))))
| ~ theorem(or(X12,implies(X14,X15))) )
| ~ spl0_13
| ~ spl0_234 ),
inference(resolution,[],[f3979,f87]) ).
fof(f87,plain,
( ! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0)))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f3979,plain,
( ! [X21,X24,X22,X25,X23] :
( ~ theorem(implies(or(X22,X25),X24))
| theorem(or(X21,implies(or(X22,X23),X24)))
| ~ theorem(or(X21,implies(X23,X25))) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f3978]) ).
fof(f47159,plain,
( spl0_1079
| ~ spl0_180
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f4049,f3974,f2114,f47157]) ).
fof(f47157,plain,
( spl0_1079
<=> ! [X51,X50,X49,X52] :
( theorem(implies(implies(X49,X50),implies(X49,implies(X51,X52))))
| ~ theorem(implies(X51,implies(X50,X52))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1079])]) ).
fof(f2114,plain,
( spl0_180
<=> ! [X31,X29,X28,X30] :
( theorem(or(X28,implies(X29,implies(X30,X31))))
| ~ theorem(implies(X30,implies(X29,X31))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f3974,plain,
( spl0_233
<=> ! [X6,X4,X5] :
( ~ theorem(or(implies(implies(X4,X5),implies(X4,X6)),implies(X5,X6)))
| theorem(implies(implies(X4,X5),implies(X4,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f4049,plain,
( ! [X50,X51,X49,X52] :
( theorem(implies(implies(X49,X50),implies(X49,implies(X51,X52))))
| ~ theorem(implies(X51,implies(X50,X52))) )
| ~ spl0_180
| ~ spl0_233 ),
inference(resolution,[],[f3975,f2115]) ).
fof(f2115,plain,
( ! [X31,X28,X29,X30] :
( theorem(or(X28,implies(X29,implies(X30,X31))))
| ~ theorem(implies(X30,implies(X29,X31))) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f2114]) ).
fof(f3975,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(implies(implies(X4,X5),implies(X4,X6)),implies(X5,X6)))
| theorem(implies(implies(X4,X5),implies(X4,X6))) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f3974]) ).
fof(f47155,plain,
( spl0_1078
| ~ spl0_205
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f4036,f3974,f2829,f47153]) ).
fof(f47153,plain,
( spl0_1078
<=> ! [X6,X8,X7] :
( theorem(implies(implies(X6,X7),implies(X6,X8)))
| ~ theorem(or(implies(X7,X8),implies(X7,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1078])]) ).
fof(f2829,plain,
( spl0_205
<=> ! [X10,X7,X9,X8] :
( ~ theorem(or(X7,implies(X8,X9)))
| theorem(or(implies(implies(X10,X8),implies(X10,X9)),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f4036,plain,
( ! [X8,X6,X7] :
( theorem(implies(implies(X6,X7),implies(X6,X8)))
| ~ theorem(or(implies(X7,X8),implies(X7,X8))) )
| ~ spl0_205
| ~ spl0_233 ),
inference(resolution,[],[f3975,f2830]) ).
fof(f2830,plain,
( ! [X10,X8,X9,X7] :
( theorem(or(implies(implies(X10,X8),implies(X10,X9)),X7))
| ~ theorem(or(X7,implies(X8,X9))) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f2829]) ).
fof(f47151,plain,
( spl0_1077
| ~ spl0_107
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f4035,f3974,f1010,f47149]) ).
fof(f47149,plain,
( spl0_1077
<=> ! [X4,X5,X3] :
( theorem(implies(implies(X3,X4),implies(X3,X5)))
| ~ theorem(or(implies(X4,X5),implies(X3,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1077])]) ).
fof(f1010,plain,
( spl0_107
<=> ! [X2,X0,X1] :
( theorem(or(implies(X0,X1),X2))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f4035,plain,
( ! [X3,X4,X5] :
( theorem(implies(implies(X3,X4),implies(X3,X5)))
| ~ theorem(or(implies(X4,X5),implies(X3,X5))) )
| ~ spl0_107
| ~ spl0_233 ),
inference(resolution,[],[f3975,f1011]) ).
fof(f1011,plain,
( ! [X2,X0,X1] :
( theorem(or(implies(X0,X1),X2))
| ~ theorem(or(X2,X1)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f47147,plain,
( spl0_1076
| ~ spl0_180
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f4001,f3970,f2114,f47145]) ).
fof(f47145,plain,
( spl0_1076
<=> ! [X51,X53,X50,X52] :
( theorem(implies(or(X50,X51),or(X50,implies(X52,X53))))
| ~ theorem(implies(X52,implies(X51,X53))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1076])]) ).
fof(f3970,plain,
( spl0_232
<=> ! [X6,X4,X5] :
( ~ theorem(or(implies(or(X4,X5),or(X4,X6)),implies(X5,X6)))
| theorem(implies(or(X4,X5),or(X4,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f4001,plain,
( ! [X50,X51,X52,X53] :
( theorem(implies(or(X50,X51),or(X50,implies(X52,X53))))
| ~ theorem(implies(X52,implies(X51,X53))) )
| ~ spl0_180
| ~ spl0_232 ),
inference(resolution,[],[f3971,f2115]) ).
fof(f3971,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(implies(or(X4,X5),or(X4,X6)),implies(X5,X6)))
| theorem(implies(or(X4,X5),or(X4,X6))) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f3970]) ).
fof(f47143,plain,
( spl0_1075
| ~ spl0_202
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f3988,f3970,f2817,f47141]) ).
fof(f47141,plain,
( spl0_1075
<=> ! [X9,X7,X8] :
( theorem(implies(or(X7,X8),or(X7,X9)))
| ~ theorem(or(implies(X8,X9),implies(X8,X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1075])]) ).
fof(f2817,plain,
( spl0_202
<=> ! [X10,X7,X9,X8] :
( ~ theorem(or(X7,implies(X8,X9)))
| theorem(or(implies(or(X10,X8),or(X10,X9)),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f3988,plain,
( ! [X8,X9,X7] :
( theorem(implies(or(X7,X8),or(X7,X9)))
| ~ theorem(or(implies(X8,X9),implies(X8,X9))) )
| ~ spl0_202
| ~ spl0_232 ),
inference(resolution,[],[f3971,f2818]) ).
fof(f2818,plain,
( ! [X10,X8,X9,X7] :
( theorem(or(implies(or(X10,X8),or(X10,X9)),X7))
| ~ theorem(or(X7,implies(X8,X9))) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f2817]) ).
fof(f47137,plain,
( spl0_1074
| ~ spl0_107
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f3987,f3970,f1010,f47135]) ).
fof(f47135,plain,
( spl0_1074
<=> ! [X6,X4,X5] :
( theorem(implies(or(X4,X5),or(X4,X6)))
| ~ theorem(or(implies(X5,X6),or(X4,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1074])]) ).
fof(f3987,plain,
( ! [X6,X4,X5] :
( theorem(implies(or(X4,X5),or(X4,X6)))
| ~ theorem(or(implies(X5,X6),or(X4,X6))) )
| ~ spl0_107
| ~ spl0_232 ),
inference(resolution,[],[f3971,f1011]) ).
fof(f47133,plain,
( spl0_1073
| ~ spl0_107
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f3907,f3702,f1010,f47131]) ).
fof(f47131,plain,
( spl0_1073
<=> ! [X38,X36,X35,X39,X37] :
( ~ theorem(implies(X35,X36))
| theorem(or(or(X37,X38),implies(X39,X36)))
| ~ theorem(or(X38,X35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1073])]) ).
fof(f3702,plain,
( spl0_230
<=> ! [X48,X47,X50,X49,X46] :
( theorem(or(or(X46,X47),implies(X48,X49)))
| ~ theorem(implies(X50,X49))
| ~ theorem(or(implies(X48,X50),X47)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f3907,plain,
( ! [X38,X39,X36,X37,X35] :
( ~ theorem(implies(X35,X36))
| theorem(or(or(X37,X38),implies(X39,X36)))
| ~ theorem(or(X38,X35)) )
| ~ spl0_107
| ~ spl0_230 ),
inference(resolution,[],[f3703,f1011]) ).
fof(f3703,plain,
( ! [X50,X48,X46,X49,X47] :
( ~ theorem(or(implies(X48,X50),X47))
| ~ theorem(implies(X50,X49))
| theorem(or(or(X46,X47),implies(X48,X49))) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f3702]) ).
fof(f47129,plain,
( spl0_1072
| ~ spl0_19
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f3893,f3698,f118,f47127]) ).
fof(f47127,plain,
( spl0_1072
<=> ! [X57,X55,X56] :
( ~ theorem(or(implies(X55,or(X56,X57)),implies(X55,X57)))
| theorem(or(X56,implies(X55,X57))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1072])]) ).
fof(f118,plain,
( spl0_19
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f3698,plain,
( spl0_229
<=> ! [X35,X33,X34,X36,X32] :
( theorem(or(or(X32,X33),or(X34,implies(X35,X36))))
| ~ theorem(or(implies(X35,or(X34,X36)),X33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f3893,plain,
( ! [X56,X57,X55] :
( ~ theorem(or(implies(X55,or(X56,X57)),implies(X55,X57)))
| theorem(or(X56,implies(X55,X57))) )
| ~ spl0_19
| ~ spl0_229 ),
inference(resolution,[],[f3699,f119]) ).
fof(f119,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f3699,plain,
( ! [X36,X34,X35,X32,X33] :
( theorem(or(or(X32,X33),or(X34,implies(X35,X36))))
| ~ theorem(or(implies(X35,or(X34,X36)),X33)) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f3698]) ).
fof(f47125,plain,
( spl0_1071
| ~ spl0_171
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f3851,f3690,f2062,f47123]) ).
fof(f47123,plain,
( spl0_1071
<=> ! [X2,X0,X1] :
( ~ theorem(or(implies(X0,implies(X1,X2)),not(X1)))
| theorem(or(implies(X0,X2),not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1071])]) ).
fof(f2062,plain,
( spl0_171
<=> ! [X12,X11] :
( ~ theorem(or(or(X11,not(X12)),implies(X12,X11)))
| theorem(or(X11,not(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f3690,plain,
( spl0_227
<=> ! [X35,X33,X34,X36,X32] :
( theorem(or(or(X32,X33),implies(X34,implies(X35,X36))))
| ~ theorem(or(implies(X35,implies(X34,X36)),X33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f3851,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(implies(X0,implies(X1,X2)),not(X1)))
| theorem(or(implies(X0,X2),not(X1))) )
| ~ spl0_171
| ~ spl0_227 ),
inference(resolution,[],[f3691,f2063]) ).
fof(f2063,plain,
( ! [X11,X12] :
( ~ theorem(or(or(X11,not(X12)),implies(X12,X11)))
| theorem(or(X11,not(X12))) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f2062]) ).
fof(f3691,plain,
( ! [X36,X34,X35,X32,X33] :
( theorem(or(or(X32,X33),implies(X34,implies(X35,X36))))
| ~ theorem(or(implies(X35,implies(X34,X36)),X33)) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f3690]) ).
fof(f47121,plain,
( spl0_1070
| ~ spl0_171
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f3818,f3682,f2062,f47119]) ).
fof(f47119,plain,
( spl0_1070
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,implies(X1,X2)),not(X1)))
| theorem(or(or(X0,X2),not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1070])]) ).
fof(f3682,plain,
( spl0_225
<=> ! [X18,X20,X16,X17,X19] :
( theorem(or(or(X16,X17),implies(X18,or(X19,X20))))
| ~ theorem(or(or(X19,implies(X18,X20)),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f3818,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,implies(X1,X2)),not(X1)))
| theorem(or(or(X0,X2),not(X1))) )
| ~ spl0_171
| ~ spl0_225 ),
inference(resolution,[],[f3683,f2063]) ).
fof(f3683,plain,
( ! [X18,X19,X16,X17,X20] :
( theorem(or(or(X16,X17),implies(X18,or(X19,X20))))
| ~ theorem(or(or(X19,implies(X18,X20)),X17)) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f3682]) ).
fof(f47117,plain,
( spl0_1069
| ~ spl0_58
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f3753,f3674,f418,f47115]) ).
fof(f47115,plain,
( spl0_1069
<=> ! [X5,X9,X7,X6,X8] :
( ~ theorem(implies(X5,X6))
| theorem(or(or(X7,X8),or(X9,X6)))
| ~ theorem(or(X8,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1069])]) ).
fof(f418,plain,
( spl0_58
<=> ! [X6,X5,X7] :
( ~ theorem(or(X5,X6))
| theorem(or(or(X7,X6),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f3674,plain,
( spl0_223
<=> ! [X24,X20,X21,X23,X22] :
( theorem(or(or(X20,X21),or(X22,X23)))
| ~ theorem(implies(X24,X23))
| ~ theorem(or(or(X22,X24),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f3753,plain,
( ! [X8,X6,X9,X7,X5] :
( ~ theorem(implies(X5,X6))
| theorem(or(or(X7,X8),or(X9,X6)))
| ~ theorem(or(X8,X5)) )
| ~ spl0_58
| ~ spl0_223 ),
inference(resolution,[],[f3675,f419]) ).
fof(f419,plain,
( ! [X6,X7,X5] :
( theorem(or(or(X7,X6),X5))
| ~ theorem(or(X5,X6)) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f3675,plain,
( ! [X21,X24,X22,X23,X20] :
( ~ theorem(or(or(X22,X24),X21))
| ~ theorem(implies(X24,X23))
| theorem(or(or(X20,X21),or(X22,X23))) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f3674]) ).
fof(f47113,plain,
( spl0_1068
| ~ spl0_19
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f3744,f3670,f118,f47111]) ).
fof(f47111,plain,
( spl0_1068
<=> ! [X50,X48,X49] :
( ~ theorem(or(or(X48,or(X49,X50)),or(X48,X50)))
| theorem(or(X49,or(X48,X50))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1068])]) ).
fof(f3670,plain,
( spl0_222
<=> ! [X18,X20,X16,X17,X19] :
( theorem(or(or(X16,X17),or(X18,or(X19,X20))))
| ~ theorem(or(or(X19,or(X18,X20)),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f3744,plain,
( ! [X50,X48,X49] :
( ~ theorem(or(or(X48,or(X49,X50)),or(X48,X50)))
| theorem(or(X49,or(X48,X50))) )
| ~ spl0_19
| ~ spl0_222 ),
inference(resolution,[],[f3671,f119]) ).
fof(f3671,plain,
( ! [X18,X19,X16,X17,X20] :
( theorem(or(or(X16,X17),or(X18,or(X19,X20))))
| ~ theorem(or(or(X19,or(X18,X20)),X17)) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f3670]) ).
fof(f47109,plain,
( spl0_1067
| ~ spl0_58
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f3708,f3666,f418,f47107]) ).
fof(f47107,plain,
( spl0_1067
<=> ! [X9,X11,X10] :
( theorem(or(X9,or(X10,not(X11))))
| ~ theorem(or(implies(X11,X10),or(X10,not(X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1067])]) ).
fof(f3666,plain,
( spl0_221
<=> ! [X18,X16,X17] :
( ~ theorem(or(or(X16,or(X17,not(X18))),implies(X18,X17)))
| theorem(or(X16,or(X17,not(X18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f3708,plain,
( ! [X10,X11,X9] :
( theorem(or(X9,or(X10,not(X11))))
| ~ theorem(or(implies(X11,X10),or(X10,not(X11)))) )
| ~ spl0_58
| ~ spl0_221 ),
inference(resolution,[],[f3667,f419]) ).
fof(f3667,plain,
( ! [X18,X16,X17] :
( ~ theorem(or(or(X16,or(X17,not(X18))),implies(X18,X17)))
| theorem(or(X16,or(X17,not(X18)))) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f3666]) ).
fof(f47105,plain,
( spl0_1066
| ~ spl0_133
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f3593,f2881,f1435,f47103]) ).
fof(f47103,plain,
( spl0_1066
<=> ! [X88,X87,X90,X89] :
( theorem(implies(implies(X87,X88),implies(implies(X88,X89),X90)))
| ~ theorem(implies(implies(X87,X89),X90)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1066])]) ).
fof(f1435,plain,
( spl0_133
<=> ! [X20,X19,X18] : theorem(implies(implies(X18,X19),implies(implies(X19,X20),implies(X18,X20)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f2881,plain,
( spl0_218
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,implies(X1,X3)))
| ~ theorem(implies(X0,implies(X1,X2)))
| ~ theorem(implies(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f3593,plain,
( ! [X90,X88,X89,X87] :
( theorem(implies(implies(X87,X88),implies(implies(X88,X89),X90)))
| ~ theorem(implies(implies(X87,X89),X90)) )
| ~ spl0_133
| ~ spl0_218 ),
inference(resolution,[],[f2882,f1436]) ).
fof(f1436,plain,
( ! [X18,X19,X20] : theorem(implies(implies(X18,X19),implies(implies(X19,X20),implies(X18,X20))))
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f2882,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X1,X2)))
| theorem(implies(X0,implies(X1,X3)))
| ~ theorem(implies(X2,X3)) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f2881]) ).
fof(f47101,plain,
( spl0_1065
| ~ spl0_8
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f3588,f2881,f43,f47099]) ).
fof(f47099,plain,
( spl0_1065
<=> ! [X69,X68,X67] :
( theorem(implies(or(implies(X67,X68),implies(X67,X68)),implies(X67,X69)))
| ~ theorem(implies(X68,X69)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1065])]) ).
fof(f43,plain,
( spl0_8
<=> ! [X0] : theorem(implies(or(X0,X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f3588,plain,
( ! [X68,X69,X67] :
( theorem(implies(or(implies(X67,X68),implies(X67,X68)),implies(X67,X69)))
| ~ theorem(implies(X68,X69)) )
| ~ spl0_8
| ~ spl0_218 ),
inference(resolution,[],[f2882,f44]) ).
fof(f44,plain,
( ! [X0] : theorem(implies(or(X0,X0),X0))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f47097,plain,
( spl0_1064
| ~ spl0_38
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f46979,f23789,f259,f47095]) ).
fof(f47095,plain,
( spl0_1064
<=> ! [X4] : theorem(not(not(implies(X4,X4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1064])]) ).
fof(f259,plain,
( spl0_38
<=> ! [X0] :
( ~ theorem(implies(X0,not(X0)))
| theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f23789,plain,
( spl0_544
<=> ! [X139,X140] : theorem(implies(X139,not(not(implies(X140,X140))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f46979,plain,
( ! [X4] : theorem(not(not(implies(X4,X4))))
| ~ spl0_38
| ~ spl0_544 ),
inference(resolution,[],[f23790,f260]) ).
fof(f260,plain,
( ! [X0] :
( ~ theorem(implies(X0,not(X0)))
| theorem(not(X0)) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f23790,plain,
( ! [X140,X139] : theorem(implies(X139,not(not(implies(X140,X140)))))
| ~ spl0_544 ),
inference(avatar_component_clause,[],[f23789]) ).
fof(f47093,plain,
( spl0_1063
| ~ spl0_131
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f3587,f2881,f1426,f47091]) ).
fof(f47091,plain,
( spl0_1063
<=> ! [X65,X64,X63,X66] :
( theorem(implies(or(X63,X64),implies(implies(X64,X65),X66)))
| ~ theorem(implies(or(X63,X65),X66)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1063])]) ).
fof(f1426,plain,
( spl0_131
<=> ! [X16,X17,X15] : theorem(implies(or(X15,X16),implies(implies(X16,X17),or(X15,X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f3587,plain,
( ! [X65,X63,X66,X64] :
( theorem(implies(or(X63,X64),implies(implies(X64,X65),X66)))
| ~ theorem(implies(or(X63,X65),X66)) )
| ~ spl0_131
| ~ spl0_218 ),
inference(resolution,[],[f2882,f1427]) ).
fof(f1427,plain,
( ! [X16,X17,X15] : theorem(implies(or(X15,X16),implies(implies(X16,X17),or(X15,X17))))
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f47089,plain,
( spl0_1062
| ~ spl0_134
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f3579,f2881,f1439,f47087]) ).
fof(f47087,plain,
( spl0_1062
<=> ! [X35,X34,X33,X32] :
( theorem(implies(X32,implies(implies(X32,X33),X34)))
| ~ theorem(implies(X35,X34))
| ~ theorem(implies(X33,X35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1062])]) ).
fof(f1439,plain,
( spl0_134
<=> ! [X22,X21,X23] :
( theorem(implies(X21,implies(implies(X21,X22),X23)))
| ~ theorem(implies(X22,X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f3579,plain,
( ! [X34,X35,X32,X33] :
( theorem(implies(X32,implies(implies(X32,X33),X34)))
| ~ theorem(implies(X35,X34))
| ~ theorem(implies(X33,X35)) )
| ~ spl0_134
| ~ spl0_218 ),
inference(resolution,[],[f2882,f1440]) ).
fof(f1440,plain,
( ! [X21,X22,X23] :
( theorem(implies(X21,implies(implies(X21,X22),X23)))
| ~ theorem(implies(X22,X23)) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f47085,plain,
( spl0_1061
| ~ spl0_6
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f3568,f2877,f34,f47083]) ).
fof(f47083,plain,
( spl0_1061
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,implies(implies(X2,implies(X0,X1)),X3)))
| ~ theorem(implies(implies(X2,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1061])]) ).
fof(f34,plain,
( spl0_6
<=> ! [X4,X3] : implies(X3,X4) = or(not(X3),X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2877,plain,
( spl0_217
<=> ! [X29,X27,X28,X26] :
( theorem(or(X26,implies(implies(X27,or(X26,X28)),X29)))
| ~ theorem(implies(implies(X27,X28),X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f3568,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(implies(X2,implies(X0,X1)),X3)))
| ~ theorem(implies(implies(X2,X1),X3)) )
| ~ spl0_6
| ~ spl0_217 ),
inference(forward_demodulation,[],[f3566,f35]) ).
fof(f35,plain,
( ! [X3,X4] : implies(X3,X4) = or(not(X3),X4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f3566,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(X0),implies(implies(X2,implies(X0,X1)),X3)))
| ~ theorem(implies(implies(X2,X1),X3)) )
| ~ spl0_6
| ~ spl0_217 ),
inference(superposition,[],[f2878,f35]) ).
fof(f2878,plain,
( ! [X28,X29,X26,X27] :
( theorem(or(X26,implies(implies(X27,or(X26,X28)),X29)))
| ~ theorem(implies(implies(X27,X28),X29)) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f2877]) ).
fof(f47081,plain,
( spl0_1060
| ~ spl0_26
| ~ spl0_217 ),
inference(avatar_split_clause,[],[f3563,f2877,f175,f47079]) ).
fof(f47079,plain,
( spl0_1060
<=> ! [X31,X34,X33,X32] :
( ~ theorem(implies(implies(X31,X32),X33))
| theorem(or(implies(implies(X31,or(X34,X32)),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1060])]) ).
fof(f175,plain,
( spl0_26
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f3563,plain,
( ! [X31,X34,X32,X33] :
( ~ theorem(implies(implies(X31,X32),X33))
| theorem(or(implies(implies(X31,or(X34,X32)),X33),X34)) )
| ~ spl0_26
| ~ spl0_217 ),
inference(resolution,[],[f2878,f176]) ).
fof(f176,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f47077,plain,
( spl0_1059
| ~ spl0_6
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f3553,f2873,f34,f47075]) ).
fof(f47075,plain,
( spl0_1059
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,implies(or(X2,implies(X0,X1)),X3)))
| ~ theorem(implies(or(X2,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1059])]) ).
fof(f2873,plain,
( spl0_216
<=> ! [X18,X20,X17,X19] :
( theorem(or(X17,implies(or(X18,or(X17,X19)),X20)))
| ~ theorem(implies(or(X18,X19),X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f3553,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(or(X2,implies(X0,X1)),X3)))
| ~ theorem(implies(or(X2,X1),X3)) )
| ~ spl0_6
| ~ spl0_216 ),
inference(forward_demodulation,[],[f3550,f35]) ).
fof(f3550,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(X0),implies(or(X2,implies(X0,X1)),X3)))
| ~ theorem(implies(or(X2,X1),X3)) )
| ~ spl0_6
| ~ spl0_216 ),
inference(superposition,[],[f2874,f35]) ).
fof(f2874,plain,
( ! [X18,X19,X17,X20] :
( theorem(or(X17,implies(or(X18,or(X17,X19)),X20)))
| ~ theorem(implies(or(X18,X19),X20)) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f2873]) ).
fof(f47073,plain,
( spl0_1058
| ~ spl0_26
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f3547,f2873,f175,f47071]) ).
fof(f47071,plain,
( spl0_1058
<=> ! [X31,X34,X33,X32] :
( ~ theorem(implies(or(X31,X32),X33))
| theorem(or(implies(or(X31,or(X34,X32)),X33),X34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1058])]) ).
fof(f3547,plain,
( ! [X31,X34,X32,X33] :
( ~ theorem(implies(or(X31,X32),X33))
| theorem(or(implies(or(X31,or(X34,X32)),X33),X34)) )
| ~ spl0_26
| ~ spl0_216 ),
inference(resolution,[],[f2874,f176]) ).
fof(f47069,plain,
( spl0_1057
| ~ spl0_25
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f3538,f2869,f171,f47067]) ).
fof(f47067,plain,
( spl0_1057
<=> ! [X198,X197,X199] :
( theorem(or(X197,implies(or(X197,X198),not(X199))))
| ~ theorem(implies(X198,implies(X199,not(X199)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1057])]) ).
fof(f2869,plain,
( spl0_215
<=> ! [X13,X14,X16,X15] :
( theorem(or(X13,implies(or(X13,X14),X15)))
| ~ theorem(implies(X16,X15))
| ~ theorem(implies(X14,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f3538,plain,
( ! [X198,X199,X197] :
( theorem(or(X197,implies(or(X197,X198),not(X199))))
| ~ theorem(implies(X198,implies(X199,not(X199)))) )
| ~ spl0_25
| ~ spl0_215 ),
inference(resolution,[],[f2870,f172]) ).
fof(f2870,plain,
( ! [X16,X14,X15,X13] :
( ~ theorem(implies(X16,X15))
| theorem(or(X13,implies(or(X13,X14),X15)))
| ~ theorem(implies(X14,X16)) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f47065,plain,
( spl0_1056
| ~ spl0_13
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f3521,f2869,f86,f47063]) ).
fof(f47063,plain,
( spl0_1056
<=> ! [X115,X118,X117,X116] :
( theorem(or(X115,implies(or(X115,X116),or(X117,X118))))
| ~ theorem(implies(X116,or(X118,X117))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1056])]) ).
fof(f3521,plain,
( ! [X118,X116,X117,X115] :
( theorem(or(X115,implies(or(X115,X116),or(X117,X118))))
| ~ theorem(implies(X116,or(X118,X117))) )
| ~ spl0_13
| ~ spl0_215 ),
inference(resolution,[],[f2870,f87]) ).
fof(f47061,plain,
( spl0_1055
| ~ spl0_94
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f3516,f2869,f831,f47059]) ).
fof(f47059,plain,
( spl0_1055
<=> ! [X98,X97,X99] :
( theorem(or(X97,implies(or(X97,X98),not(implies(X99,not(X99))))))
| ~ theorem(implies(X98,X99)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1055])]) ).
fof(f831,plain,
( spl0_94
<=> ! [X0] : theorem(implies(X0,not(implies(X0,not(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f3516,plain,
( ! [X98,X99,X97] :
( theorem(or(X97,implies(or(X97,X98),not(implies(X99,not(X99))))))
| ~ theorem(implies(X98,X99)) )
| ~ spl0_94
| ~ spl0_215 ),
inference(resolution,[],[f2870,f832]) ).
fof(f832,plain,
( ! [X0] : theorem(implies(X0,not(implies(X0,not(X0)))))
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f47057,plain,
( spl0_1054
| ~ spl0_6
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f3493,f2865,f34,f47055]) ).
fof(f47055,plain,
( spl0_1054
<=> ! [X2,X0,X1] :
( theorem(implies(X0,implies(or(implies(X0,X1),implies(X0,X1)),X2)))
| ~ theorem(implies(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1054])]) ).
fof(f2865,plain,
( spl0_214
<=> ! [X6,X8,X7] :
( theorem(or(X6,implies(or(or(X6,X7),or(X6,X7)),X8)))
| ~ theorem(implies(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f3493,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(or(implies(X0,X1),implies(X0,X1)),X2)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_6
| ~ spl0_214 ),
inference(forward_demodulation,[],[f3491,f35]) ).
fof(f3491,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),implies(or(implies(X0,X1),implies(X0,X1)),X2)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_6
| ~ spl0_214 ),
inference(superposition,[],[f2866,f35]) ).
fof(f2866,plain,
( ! [X8,X6,X7] :
( theorem(or(X6,implies(or(or(X6,X7),or(X6,X7)),X8)))
| ~ theorem(implies(X7,X8)) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f2865]) ).
fof(f46976,plain,
( spl0_1053
| ~ spl0_26
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f3488,f2865,f175,f46974]) ).
fof(f46974,plain,
( spl0_1053
<=> ! [X25,X24,X26] :
( ~ theorem(implies(X24,X25))
| theorem(or(implies(or(or(X26,X24),or(X26,X24)),X25),X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1053])]) ).
fof(f3488,plain,
( ! [X26,X24,X25] :
( ~ theorem(implies(X24,X25))
| theorem(or(implies(or(or(X26,X24),or(X26,X24)),X25),X26)) )
| ~ spl0_26
| ~ spl0_214 ),
inference(resolution,[],[f2866,f176]) ).
fof(f46972,plain,
( spl0_1052
| ~ spl0_6
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f3441,f2853,f34,f46970]) ).
fof(f46970,plain,
( spl0_1052
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,or(X2,implies(implies(X0,X1),X3))))
| ~ theorem(implies(X1,or(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1052])]) ).
fof(f2853,plain,
( spl0_211
<=> ! [X20,X21,X23,X22] :
( theorem(or(X20,or(X21,implies(or(X20,X22),X23))))
| ~ theorem(implies(X22,or(X21,X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f3441,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,or(X2,implies(implies(X0,X1),X3))))
| ~ theorem(implies(X1,or(X2,X3))) )
| ~ spl0_6
| ~ spl0_211 ),
inference(forward_demodulation,[],[f3438,f35]) ).
fof(f3438,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(X0),or(X2,implies(implies(X0,X1),X3))))
| ~ theorem(implies(X1,or(X2,X3))) )
| ~ spl0_6
| ~ spl0_211 ),
inference(superposition,[],[f2854,f35]) ).
fof(f2854,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(X20,or(X21,implies(or(X20,X22),X23))))
| ~ theorem(implies(X22,or(X21,X23))) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f2853]) ).
fof(f46968,plain,
( spl0_1051
| ~ spl0_26
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f3435,f2853,f175,f46966]) ).
fof(f46966,plain,
( spl0_1051
<=> ! [X28,X27,X25,X26] :
( ~ theorem(implies(X25,or(X26,X27)))
| theorem(or(or(X26,implies(or(X28,X25),X27)),X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1051])]) ).
fof(f3435,plain,
( ! [X28,X26,X27,X25] :
( ~ theorem(implies(X25,or(X26,X27)))
| theorem(or(or(X26,implies(or(X28,X25),X27)),X28)) )
| ~ spl0_26
| ~ spl0_211 ),
inference(resolution,[],[f2854,f176]) ).
fof(f46964,plain,
( spl0_1050
| ~ spl0_31
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f3433,f2853,f203,f46962]) ).
fof(f46962,plain,
( spl0_1050
<=> ! [X18,X17,X16,X19] :
( ~ theorem(implies(X16,or(X17,X18)))
| theorem(or(X17,or(X19,implies(or(X19,X16),X18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1050])]) ).
fof(f203,plain,
( spl0_31
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f3433,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(implies(X16,or(X17,X18)))
| theorem(or(X17,or(X19,implies(or(X19,X16),X18)))) )
| ~ spl0_31
| ~ spl0_211 ),
inference(resolution,[],[f2854,f204]) ).
fof(f204,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f46960,plain,
( spl0_1049
| ~ spl0_68
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f3432,f2853,f499,f46958]) ).
fof(f46958,plain,
( spl0_1049
<=> ! [X13,X14,X12,X15] :
( ~ theorem(implies(X12,or(X13,X14)))
| theorem(or(X15,or(implies(or(X15,X12),X14),X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1049])]) ).
fof(f499,plain,
( spl0_68
<=> ! [X4,X2,X3] :
( theorem(or(X2,or(X3,X4)))
| ~ theorem(or(X2,or(X4,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f3432,plain,
( ! [X14,X15,X12,X13] :
( ~ theorem(implies(X12,or(X13,X14)))
| theorem(or(X15,or(implies(or(X15,X12),X14),X13))) )
| ~ spl0_68
| ~ spl0_211 ),
inference(resolution,[],[f2854,f500]) ).
fof(f500,plain,
( ! [X2,X3,X4] :
( ~ theorem(or(X2,or(X4,X3)))
| theorem(or(X2,or(X3,X4))) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f46956,plain,
( spl0_1048
| ~ spl0_6
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f3428,f2849,f34,f46954]) ).
fof(f46954,plain,
( spl0_1048
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,implies(X2,X3)))
| theorem(implies(X0,or(X1,implies(or(X1,X2),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1048])]) ).
fof(f2849,plain,
( spl0_210
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,or(X4,implies(or(X4,X5),X6))))
| ~ theorem(or(X3,implies(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f3428,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X2,X3)))
| theorem(implies(X0,or(X1,implies(or(X1,X2),X3)))) )
| ~ spl0_6
| ~ spl0_210 ),
inference(forward_demodulation,[],[f3425,f35]) ).
fof(f3425,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,or(X1,implies(or(X1,X2),X3))))
| ~ theorem(or(not(X0),implies(X2,X3))) )
| ~ spl0_6
| ~ spl0_210 ),
inference(superposition,[],[f2850,f35]) ).
fof(f2850,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,or(X4,implies(or(X4,X5),X6))))
| ~ theorem(or(X3,implies(X5,X6))) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2849]) ).
fof(f46952,plain,
( spl0_1047
| ~ spl0_26
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f3416,f2849,f175,f46950]) ).
fof(f46950,plain,
( spl0_1047
<=> ! [X31,X29,X32,X30] :
( ~ theorem(or(X29,implies(X30,X31)))
| theorem(or(or(X32,implies(or(X32,X30),X31)),X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1047])]) ).
fof(f3416,plain,
( ! [X31,X29,X32,X30] :
( ~ theorem(or(X29,implies(X30,X31)))
| theorem(or(or(X32,implies(or(X32,X30),X31)),X29)) )
| ~ spl0_26
| ~ spl0_210 ),
inference(resolution,[],[f2850,f176]) ).
fof(f46948,plain,
( spl0_1046
| ~ spl0_31
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f3412,f2849,f203,f46946]) ).
fof(f46946,plain,
( spl0_1046
<=> ! [X13,X14,X16,X15] :
( ~ theorem(or(X13,implies(X14,X15)))
| theorem(or(X16,or(X13,implies(or(X16,X14),X15)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1046])]) ).
fof(f3412,plain,
( ! [X16,X14,X15,X13] :
( ~ theorem(or(X13,implies(X14,X15)))
| theorem(or(X16,or(X13,implies(or(X16,X14),X15)))) )
| ~ spl0_31
| ~ spl0_210 ),
inference(resolution,[],[f2850,f204]) ).
fof(f46944,plain,
( spl0_1045
| ~ spl0_68
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f3411,f2849,f499,f46942]) ).
fof(f46942,plain,
( spl0_1045
<=> ! [X10,X11,X12,X9] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(or(X9,or(implies(or(X12,X10),X11),X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1045])]) ).
fof(f3411,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(or(X9,or(implies(or(X12,X10),X11),X12))) )
| ~ spl0_68
| ~ spl0_210 ),
inference(resolution,[],[f2850,f500]) ).
fof(f46940,plain,
( spl0_1044
| ~ spl0_6
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f3386,f2841,f34,f46938]) ).
fof(f46938,plain,
( spl0_1044
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,implies(X2,implies(implies(X0,X1),X3))))
| ~ theorem(implies(X1,implies(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1044])]) ).
fof(f2841,plain,
( spl0_208
<=> ! [X20,X21,X23,X22] :
( theorem(or(X20,implies(X21,implies(or(X20,X22),X23))))
| ~ theorem(implies(X22,implies(X21,X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f3386,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(X2,implies(implies(X0,X1),X3))))
| ~ theorem(implies(X1,implies(X2,X3))) )
| ~ spl0_6
| ~ spl0_208 ),
inference(forward_demodulation,[],[f3384,f35]) ).
fof(f3384,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(X0),implies(X2,implies(implies(X0,X1),X3))))
| ~ theorem(implies(X1,implies(X2,X3))) )
| ~ spl0_6
| ~ spl0_208 ),
inference(superposition,[],[f2842,f35]) ).
fof(f2842,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(X20,implies(X21,implies(or(X20,X22),X23))))
| ~ theorem(implies(X22,implies(X21,X23))) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f2841]) ).
fof(f46884,plain,
( spl0_1043
| ~ spl0_26
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f3381,f2841,f175,f46882]) ).
fof(f46882,plain,
( spl0_1043
<=> ! [X18,X19,X20,X21] :
( ~ theorem(implies(X18,implies(X19,X20)))
| theorem(or(implies(X19,implies(or(X21,X18),X20)),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1043])]) ).
fof(f3381,plain,
( ! [X21,X18,X19,X20] :
( ~ theorem(implies(X18,implies(X19,X20)))
| theorem(or(implies(X19,implies(or(X21,X18),X20)),X21)) )
| ~ spl0_26
| ~ spl0_208 ),
inference(resolution,[],[f2842,f176]) ).
fof(f46880,plain,
( spl0_1042
| ~ spl0_44
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f3379,f2841,f300,f46878]) ).
fof(f46878,plain,
( spl0_1042
<=> ! [X10,X11,X12,X9] :
( ~ theorem(implies(X9,implies(X10,X11)))
| theorem(implies(X10,or(X12,implies(or(X12,X9),X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1042])]) ).
fof(f300,plain,
( spl0_44
<=> ! [X2,X0,X1] :
( theorem(implies(X0,or(X2,X1)))
| ~ theorem(or(X2,implies(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f3379,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(implies(X9,implies(X10,X11)))
| theorem(implies(X10,or(X12,implies(or(X12,X9),X11)))) )
| ~ spl0_44
| ~ spl0_208 ),
inference(resolution,[],[f2842,f301]) ).
fof(f301,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X2,implies(X0,X1)))
| theorem(implies(X0,or(X2,X1))) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f46876,plain,
( spl0_1041
| ~ spl0_6
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f3376,f2837,f34,f46874]) ).
fof(f46874,plain,
( spl0_1041
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,implies(X2,X3)))
| theorem(implies(X0,implies(X1,implies(implies(X1,X2),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1041])]) ).
fof(f2837,plain,
( spl0_207
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,implies(X4,implies(implies(X4,X5),X6))))
| ~ theorem(or(X3,implies(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f3376,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X2,X3)))
| theorem(implies(X0,implies(X1,implies(implies(X1,X2),X3)))) )
| ~ spl0_6
| ~ spl0_207 ),
inference(forward_demodulation,[],[f3375,f35]) ).
fof(f3375,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(X1,implies(implies(X1,X2),X3))))
| ~ theorem(or(not(X0),implies(X2,X3))) )
| ~ spl0_6
| ~ spl0_207 ),
inference(superposition,[],[f2838,f35]) ).
fof(f2838,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,implies(X4,implies(implies(X4,X5),X6))))
| ~ theorem(or(X3,implies(X5,X6))) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f2837]) ).
fof(f46872,plain,
( spl0_1040
| ~ spl0_26
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f3367,f2837,f175,f46870]) ).
fof(f46870,plain,
( spl0_1040
<=> ! [X28,X27,X25,X26] :
( ~ theorem(or(X25,implies(X26,X27)))
| theorem(or(implies(X28,implies(implies(X28,X26),X27)),X25)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1040])]) ).
fof(f3367,plain,
( ! [X28,X26,X27,X25] :
( ~ theorem(or(X25,implies(X26,X27)))
| theorem(or(implies(X28,implies(implies(X28,X26),X27)),X25)) )
| ~ spl0_26
| ~ spl0_207 ),
inference(resolution,[],[f2838,f176]) ).
fof(f46868,plain,
( spl0_1039
| ~ spl0_44
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f3363,f2837,f300,f46866]) ).
fof(f46866,plain,
( spl0_1039
<=> ! [X10,X11,X12,X9] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(implies(X12,or(X9,implies(implies(X12,X10),X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1039])]) ).
fof(f3363,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(implies(X12,or(X9,implies(implies(X12,X10),X11)))) )
| ~ spl0_44
| ~ spl0_207 ),
inference(resolution,[],[f2838,f301]) ).
fof(f46864,plain,
( spl0_1038
| ~ spl0_7
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f3337,f2833,f38,f46862]) ).
fof(f46862,plain,
( spl0_1038
<=> ! [X5,X4,X7,X6] :
( ~ theorem(implies(X4,implies(X5,X6)))
| theorem(implies(implies(X7,X5),implies(X7,X6)))
| ~ theorem(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1038])]) ).
fof(f38,plain,
( spl0_7
<=> ! [X4,X3] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2833,plain,
( spl0_206
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,implies(X2,X3)))
| theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f3337,plain,
( ! [X6,X7,X4,X5] :
( ~ theorem(implies(X4,implies(X5,X6)))
| theorem(implies(implies(X7,X5),implies(X7,X6)))
| ~ theorem(X4) )
| ~ spl0_7
| ~ spl0_206 ),
inference(resolution,[],[f2834,f39]) ).
fof(f39,plain,
( ! [X3,X4] :
( ~ theorem(implies(X4,X3))
| theorem(X3)
| ~ theorem(X4) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f2834,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3))))
| ~ theorem(implies(X0,implies(X2,X3))) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2833]) ).
fof(f46860,plain,
( spl0_1037
| ~ spl0_6
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f3315,f2825,f34,f46858]) ).
fof(f46858,plain,
( spl0_1037
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,implies(X3,X2)))
| theorem(implies(implies(X1,X3),implies(X0,implies(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1037])]) ).
fof(f2825,plain,
( spl0_204
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(implies(X3,X1),or(X0,implies(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f3315,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X3,X2)))
| theorem(implies(implies(X1,X3),implies(X0,implies(X1,X2)))) )
| ~ spl0_6
| ~ spl0_204 ),
inference(forward_demodulation,[],[f3314,f35]) ).
fof(f3314,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(implies(X1,X3),implies(X0,implies(X1,X2))))
| ~ theorem(or(not(X0),implies(X3,X2))) )
| ~ spl0_6
| ~ spl0_204 ),
inference(superposition,[],[f2826,f35]) ).
fof(f2826,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(implies(X3,X1),or(X0,implies(X3,X2))))
| ~ theorem(or(X0,implies(X1,X2))) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f2825]) ).
fof(f46856,plain,
( spl0_1036
| ~ spl0_7
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f3305,f2825,f38,f46854]) ).
fof(f46854,plain,
( spl0_1036
<=> ! [X55,X54,X53,X56] :
( ~ theorem(or(X53,implies(X54,X55)))
| theorem(or(X53,implies(X56,X55)))
| ~ theorem(implies(X56,X54)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1036])]) ).
fof(f3305,plain,
( ! [X56,X54,X55,X53] :
( ~ theorem(or(X53,implies(X54,X55)))
| theorem(or(X53,implies(X56,X55)))
| ~ theorem(implies(X56,X54)) )
| ~ spl0_7
| ~ spl0_204 ),
inference(resolution,[],[f2826,f39]) ).
fof(f46852,plain,
( spl0_1035
| ~ spl0_140
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f3303,f2825,f1463,f46850]) ).
fof(f46850,plain,
( spl0_1035
<=> ! [X48,X47,X46,X45] :
( ~ theorem(or(X45,implies(X46,X47)))
| theorem(implies(implies(X48,X46),or(implies(X48,X47),X45))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1035])]) ).
fof(f1463,plain,
( spl0_140
<=> ! [X2,X0,X1] :
( theorem(implies(X0,or(X2,X1)))
| ~ theorem(implies(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f3303,plain,
( ! [X48,X46,X47,X45] :
( ~ theorem(or(X45,implies(X46,X47)))
| theorem(implies(implies(X48,X46),or(implies(X48,X47),X45))) )
| ~ spl0_140
| ~ spl0_204 ),
inference(resolution,[],[f2826,f1464]) ).
fof(f1464,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(implies(X0,or(X2,X1))) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f46848,plain,
( spl0_1034
| ~ spl0_110
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f3301,f2825,f1026,f46846]) ).
fof(f46846,plain,
( spl0_1034
<=> ! [X38,X37,X39] :
( ~ theorem(or(implies(X37,X38),implies(X39,X38)))
| theorem(implies(implies(X37,X39),implies(X37,X38))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1034])]) ).
fof(f1026,plain,
( spl0_110
<=> ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(implies(X0,or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f3301,plain,
( ! [X38,X39,X37] :
( ~ theorem(or(implies(X37,X38),implies(X39,X38)))
| theorem(implies(implies(X37,X39),implies(X37,X38))) )
| ~ spl0_110
| ~ spl0_204 ),
inference(resolution,[],[f2826,f1027]) ).
fof(f1027,plain,
( ! [X0,X1] :
( ~ theorem(implies(X0,or(X1,X1)))
| theorem(implies(X0,X1)) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1026]) ).
fof(f46840,plain,
( spl0_1033
| ~ spl0_200
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f3300,f2825,f2798,f46838]) ).
fof(f46838,plain,
( spl0_1033
<=> ! [X35,X33,X34,X36] :
( ~ theorem(or(X33,implies(X34,X35)))
| theorem(implies(implies(X36,X34),implies(X36,or(X33,X35)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1033])]) ).
fof(f2798,plain,
( spl0_200
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,implies(X2,or(X1,X3))))
| ~ theorem(implies(X0,or(X1,implies(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f3300,plain,
( ! [X36,X34,X35,X33] :
( ~ theorem(or(X33,implies(X34,X35)))
| theorem(implies(implies(X36,X34),implies(X36,or(X33,X35)))) )
| ~ spl0_200
| ~ spl0_204 ),
inference(resolution,[],[f2826,f2799]) ).
fof(f2799,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,or(X1,implies(X2,X3))))
| theorem(implies(X0,implies(X2,or(X1,X3)))) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f46836,plain,
( spl0_1032
| ~ spl0_7
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f3265,f2821,f38,f46834]) ).
fof(f46834,plain,
( spl0_1032
<=> ! [X5,X4,X7,X6] :
( ~ theorem(implies(X4,implies(X5,X6)))
| theorem(implies(or(X7,X5),or(X7,X6)))
| ~ theorem(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1032])]) ).
fof(f2821,plain,
( spl0_203
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,implies(X2,X3)))
| theorem(implies(X0,implies(or(X1,X2),or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f3265,plain,
( ! [X6,X7,X4,X5] :
( ~ theorem(implies(X4,implies(X5,X6)))
| theorem(implies(or(X7,X5),or(X7,X6)))
| ~ theorem(X4) )
| ~ spl0_7
| ~ spl0_203 ),
inference(resolution,[],[f2822,f39]) ).
fof(f2822,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(or(X1,X2),or(X1,X3))))
| ~ theorem(implies(X0,implies(X2,X3))) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f2821]) ).
fof(f46832,plain,
( spl0_1031
| ~ spl0_6
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f3235,f2802,f34,f46830]) ).
fof(f46830,plain,
( spl0_1031
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,implies(X3,X2)))
| theorem(implies(or(X1,X3),implies(X0,or(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1031])]) ).
fof(f2802,plain,
( spl0_201
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(or(X3,X1),or(X0,or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f3235,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X3,X2)))
| theorem(implies(or(X1,X3),implies(X0,or(X1,X2)))) )
| ~ spl0_6
| ~ spl0_201 ),
inference(forward_demodulation,[],[f3232,f35]) ).
fof(f3232,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(or(X1,X3),implies(X0,or(X1,X2))))
| ~ theorem(or(not(X0),implies(X3,X2))) )
| ~ spl0_6
| ~ spl0_201 ),
inference(superposition,[],[f2803,f35]) ).
fof(f2803,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(or(X3,X1),or(X0,or(X3,X2))))
| ~ theorem(or(X0,implies(X1,X2))) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f46828,plain,
( spl0_1030
| ~ spl0_7
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f3221,f2802,f38,f46826]) ).
fof(f46826,plain,
( spl0_1030
<=> ! [X59,X60,X57,X58] :
( ~ theorem(or(X57,implies(X58,X59)))
| theorem(or(X57,or(X60,X59)))
| ~ theorem(or(X60,X58)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1030])]) ).
fof(f3221,plain,
( ! [X58,X59,X57,X60] :
( ~ theorem(or(X57,implies(X58,X59)))
| theorem(or(X57,or(X60,X59)))
| ~ theorem(or(X60,X58)) )
| ~ spl0_7
| ~ spl0_201 ),
inference(resolution,[],[f2803,f39]) ).
fof(f46824,plain,
( spl0_1029
| ~ spl0_140
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f3219,f2802,f1463,f46822]) ).
fof(f46822,plain,
( spl0_1029
<=> ! [X51,X50,X49,X52] :
( ~ theorem(or(X49,implies(X50,X51)))
| theorem(implies(or(X52,X50),or(or(X52,X51),X49))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1029])]) ).
fof(f3219,plain,
( ! [X50,X51,X49,X52] :
( ~ theorem(or(X49,implies(X50,X51)))
| theorem(implies(or(X52,X50),or(or(X52,X51),X49))) )
| ~ spl0_140
| ~ spl0_201 ),
inference(resolution,[],[f2803,f1464]) ).
fof(f46820,plain,
( spl0_1028
| ~ spl0_110
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f3217,f2802,f1026,f46818]) ).
fof(f46818,plain,
( spl0_1028
<=> ! [X41,X43,X42] :
( ~ theorem(or(or(X41,X42),implies(X43,X42)))
| theorem(implies(or(X41,X43),or(X41,X42))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1028])]) ).
fof(f3217,plain,
( ! [X41,X42,X43] :
( ~ theorem(or(or(X41,X42),implies(X43,X42)))
| theorem(implies(or(X41,X43),or(X41,X42))) )
| ~ spl0_110
| ~ spl0_201 ),
inference(resolution,[],[f2803,f1027]) ).
fof(f46816,plain,
( spl0_1027
| ~ spl0_198
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f3216,f2802,f2790,f46814]) ).
fof(f46814,plain,
( spl0_1027
<=> ! [X38,X40,X39,X37] :
( ~ theorem(or(X37,implies(X38,X39)))
| theorem(implies(or(X40,X38),or(X40,or(X37,X39)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1027])]) ).
fof(f2790,plain,
( spl0_198
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,or(X2,or(X1,X3))))
| ~ theorem(implies(X0,or(X1,or(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f3216,plain,
( ! [X40,X38,X39,X37] :
( ~ theorem(or(X37,implies(X38,X39)))
| theorem(implies(or(X40,X38),or(X40,or(X37,X39)))) )
| ~ spl0_198
| ~ spl0_201 ),
inference(resolution,[],[f2803,f2791]) ).
fof(f2791,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,or(X1,or(X2,X3))))
| theorem(implies(X0,or(X2,or(X1,X3)))) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f2790]) ).
fof(f46812,plain,
( spl0_1026
| ~ spl0_142
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f3211,f2802,f1471,f46810]) ).
fof(f46810,plain,
( spl0_1026
<=> ! [X18,X17,X16,X15] :
( ~ theorem(or(X15,implies(X16,X17)))
| theorem(implies(or(X16,X18),or(X15,or(X18,X17)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1026])]) ).
fof(f1471,plain,
( spl0_142
<=> ! [X4,X2,X3] :
( theorem(implies(or(X2,X3),X4))
| ~ theorem(implies(or(X3,X2),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f3211,plain,
( ! [X18,X16,X17,X15] :
( ~ theorem(or(X15,implies(X16,X17)))
| theorem(implies(or(X16,X18),or(X15,or(X18,X17)))) )
| ~ spl0_142
| ~ spl0_201 ),
inference(resolution,[],[f2803,f1472]) ).
fof(f1472,plain,
( ! [X2,X3,X4] :
( ~ theorem(implies(or(X3,X2),X4))
| theorem(implies(or(X2,X3),X4)) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f46808,plain,
( spl0_1025
| ~ spl0_8
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f3174,f2794,f43,f46806]) ).
fof(f46806,plain,
( spl0_1025
<=> ! [X13,X12,X11] :
( theorem(implies(or(or(X11,X12),or(X11,X12)),or(X11,X13)))
| ~ theorem(implies(X12,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1025])]) ).
fof(f2794,plain,
( spl0_199
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,or(X1,X3)))
| ~ theorem(implies(X0,or(X1,X2)))
| ~ theorem(implies(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f3174,plain,
( ! [X11,X12,X13] :
( theorem(implies(or(or(X11,X12),or(X11,X12)),or(X11,X13)))
| ~ theorem(implies(X12,X13)) )
| ~ spl0_8
| ~ spl0_199 ),
inference(resolution,[],[f2795,f44]) ).
fof(f2795,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(implies(X0,or(X1,X3)))
| ~ theorem(implies(X2,X3)) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f2794]) ).
fof(f46804,plain,
( spl0_1024
| ~ spl0_26
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f3149,f2786,f175,f46802]) ).
fof(f46802,plain,
( spl0_1024
<=> ! [X38,X41,X40,X39] :
( ~ theorem(or(implies(X38,not(X39)),X40))
| theorem(or(implies(X39,not(X38)),or(X41,X40))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1024])]) ).
fof(f2786,plain,
( spl0_197
<=> ! [X20,X21,X23,X22] :
( theorem(or(or(X20,X21),implies(X22,not(X23))))
| ~ theorem(or(implies(X23,not(X22)),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f3149,plain,
( ! [X40,X38,X41,X39] :
( ~ theorem(or(implies(X38,not(X39)),X40))
| theorem(or(implies(X39,not(X38)),or(X41,X40))) )
| ~ spl0_26
| ~ spl0_197 ),
inference(resolution,[],[f2787,f176]) ).
fof(f2787,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(or(X20,X21),implies(X22,not(X23))))
| ~ theorem(or(implies(X23,not(X22)),X21)) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f2786]) ).
fof(f46796,plain,
( spl0_1023
| ~ spl0_44
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f3147,f2786,f300,f46794]) ).
fof(f46794,plain,
( spl0_1023
<=> ! [X31,X29,X32,X30] :
( ~ theorem(or(implies(X29,not(X30)),X31))
| theorem(implies(X30,or(or(X32,X31),not(X29)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1023])]) ).
fof(f3147,plain,
( ! [X31,X29,X32,X30] :
( ~ theorem(or(implies(X29,not(X30)),X31))
| theorem(implies(X30,or(or(X32,X31),not(X29)))) )
| ~ spl0_44
| ~ spl0_197 ),
inference(resolution,[],[f2787,f301]) ).
fof(f46792,plain,
( spl0_1022
| ~ spl0_128
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f3141,f2786,f1414,f46790]) ).
fof(f46790,plain,
( spl0_1022
<=> ! [X6,X5,X7,X8] :
( ~ theorem(or(implies(X5,not(X6)),X7))
| theorem(or(or(X8,implies(X6,not(X5))),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1022])]) ).
fof(f3141,plain,
( ! [X8,X6,X7,X5] :
( ~ theorem(or(implies(X5,not(X6)),X7))
| theorem(or(or(X8,implies(X6,not(X5))),X7)) )
| ~ spl0_128
| ~ spl0_197 ),
inference(resolution,[],[f2787,f1415]) ).
fof(f46788,plain,
( spl0_1021
| ~ spl0_131
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f3115,f2782,f1426,f46786]) ).
fof(f46786,plain,
( spl0_1021
<=> ! [X18,X17,X16,X15] : theorem(implies(implies(X15,or(X16,X17)),implies(implies(implies(X15,X17),X18),or(X16,X18)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1021])]) ).
fof(f2782,plain,
( spl0_196
<=> ! [X65,X64,X67,X66] :
( theorem(implies(implies(X64,or(X65,X66)),X67))
| ~ theorem(implies(or(X65,implies(X64,X66)),X67)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f3115,plain,
( ! [X18,X16,X17,X15] : theorem(implies(implies(X15,or(X16,X17)),implies(implies(implies(X15,X17),X18),or(X16,X18))))
| ~ spl0_131
| ~ spl0_196 ),
inference(resolution,[],[f2783,f1427]) ).
fof(f2783,plain,
( ! [X65,X66,X67,X64] :
( ~ theorem(implies(or(X65,implies(X64,X66)),X67))
| theorem(implies(implies(X64,or(X65,X66)),X67)) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f2782]) ).
fof(f46784,plain,
( spl0_1020
| ~ spl0_35
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f3113,f2782,f219,f46782]) ).
fof(f219,plain,
( spl0_35
<=> ! [X2,X0,X1] :
( theorem(implies(or(X0,X1),or(X0,X2)))
| ~ theorem(implies(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f3113,plain,
( ! [X10,X11,X8,X9] :
( theorem(implies(implies(X8,or(X9,X10)),or(X9,X11)))
| ~ theorem(implies(implies(X8,X10),X11)) )
| ~ spl0_35
| ~ spl0_196 ),
inference(resolution,[],[f2783,f220]) ).
fof(f220,plain,
( ! [X2,X0,X1] :
( theorem(implies(or(X0,X1),or(X0,X2)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f46780,plain,
( spl0_1019
| ~ spl0_114
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f3111,f2782,f1042,f46778]) ).
fof(f46778,plain,
( spl0_1019
<=> ! [X4,X2,X3] :
( theorem(implies(implies(X2,or(implies(X2,X3),X3)),X4))
| ~ theorem(implies(implies(X2,X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1019])]) ).
fof(f1042,plain,
( spl0_114
<=> ! [X0,X1] :
( theorem(implies(or(X0,X0),X1))
| ~ theorem(implies(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f3111,plain,
( ! [X2,X3,X4] :
( theorem(implies(implies(X2,or(implies(X2,X3),X3)),X4))
| ~ theorem(implies(implies(X2,X3),X4)) )
| ~ spl0_114
| ~ spl0_196 ),
inference(resolution,[],[f2783,f1043]) ).
fof(f1043,plain,
( ! [X0,X1] :
( theorem(implies(or(X0,X0),X1))
| ~ theorem(implies(X0,X1)) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f46776,plain,
( spl0_1018
| ~ spl0_48
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3088,f2778,f318,f46774]) ).
fof(f46774,plain,
( spl0_1018
<=> ! [X18,X19,X20,X21] :
( theorem(implies(implies(X18,implies(X19,X20)),implies(X19,X21)))
| ~ theorem(implies(implies(X18,X20),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1018])]) ).
fof(f318,plain,
( spl0_48
<=> ! [X2,X0,X1] :
( theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ theorem(implies(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f2778,plain,
( spl0_195
<=> ! [X55,X57,X56,X58] :
( theorem(implies(implies(X55,implies(X56,X57)),X58))
| ~ theorem(implies(implies(X56,implies(X55,X57)),X58)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f3088,plain,
( ! [X21,X18,X19,X20] :
( theorem(implies(implies(X18,implies(X19,X20)),implies(X19,X21)))
| ~ theorem(implies(implies(X18,X20),X21)) )
| ~ spl0_48
| ~ spl0_195 ),
inference(resolution,[],[f2779,f319]) ).
fof(f319,plain,
( ! [X2,X0,X1] :
( theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f2779,plain,
( ! [X58,X56,X57,X55] :
( ~ theorem(implies(implies(X56,implies(X55,X57)),X58))
| theorem(implies(implies(X55,implies(X56,X57)),X58)) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f2778]) ).
fof(f46772,plain,
( spl0_1017
| ~ spl0_133
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3087,f2778,f1435,f46770]) ).
fof(f46770,plain,
( spl0_1017
<=> ! [X17,X14,X16,X15] : theorem(implies(implies(X14,implies(X15,X16)),implies(implies(implies(X14,X16),X17),implies(X15,X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1017])]) ).
fof(f3087,plain,
( ! [X16,X14,X17,X15] : theorem(implies(implies(X14,implies(X15,X16)),implies(implies(implies(X14,X16),X17),implies(X15,X17))))
| ~ spl0_133
| ~ spl0_195 ),
inference(resolution,[],[f2779,f1436]) ).
fof(f46768,plain,
( spl0_1016
| ~ spl0_36
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3086,f2778,f223,f46766]) ).
fof(f46766,plain,
( spl0_1016
<=> ! [X10,X11,X13,X12] : theorem(implies(implies(X10,implies(X11,X12)),implies(implies(X13,X11),implies(X13,implies(X10,X12))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1016])]) ).
fof(f223,plain,
( spl0_36
<=> ! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f3086,plain,
( ! [X10,X11,X12,X13] : theorem(implies(implies(X10,implies(X11,X12)),implies(implies(X13,X11),implies(X13,implies(X10,X12)))))
| ~ spl0_36
| ~ spl0_195 ),
inference(resolution,[],[f2779,f224]) ).
fof(f224,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2))))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f46764,plain,
( spl0_1015
| ~ spl0_21
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3085,f2778,f126,f46762]) ).
fof(f46762,plain,
( spl0_1015
<=> ! [X9,X7,X6,X8] : theorem(implies(implies(X6,implies(X7,X8)),implies(or(X9,X7),or(X9,implies(X6,X8))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1015])]) ).
fof(f126,plain,
( spl0_21
<=> ! [X2,X0,X1] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3085,plain,
( ! [X8,X6,X9,X7] : theorem(implies(implies(X6,implies(X7,X8)),implies(or(X9,X7),or(X9,implies(X6,X8)))))
| ~ spl0_21
| ~ spl0_195 ),
inference(resolution,[],[f2779,f127]) ).
fof(f127,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f46760,plain,
( spl0_1014
| ~ spl0_46
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3060,f2774,f308,f46758]) ).
fof(f46758,plain,
( spl0_1014
<=> ! [X31,X29,X32,X30] :
( theorem(implies(implies(X29,X30),implies(X31,implies(X29,X32))))
| ~ theorem(implies(X30,implies(X31,X32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1014])]) ).
fof(f308,plain,
( spl0_46
<=> ! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f2774,plain,
( spl0_194
<=> ! [X48,X51,X50,X49] :
( theorem(implies(implies(X48,X49),X50))
| ~ theorem(implies(implies(X48,X51),X50))
| ~ theorem(implies(X49,X51)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f3060,plain,
( ! [X31,X29,X32,X30] :
( theorem(implies(implies(X29,X30),implies(X31,implies(X29,X32))))
| ~ theorem(implies(X30,implies(X31,X32))) )
| ~ spl0_46
| ~ spl0_194 ),
inference(resolution,[],[f2775,f309]) ).
fof(f309,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f2775,plain,
( ! [X50,X51,X48,X49] :
( ~ theorem(implies(implies(X48,X51),X50))
| theorem(implies(implies(X48,X49),X50))
| ~ theorem(implies(X49,X51)) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f2774]) ).
fof(f46756,plain,
( ~ spl0_1013
| ~ spl0_355
| spl0_908 ),
inference(avatar_split_clause,[],[f46402,f46307,f16747,f46753]) ).
fof(f46753,plain,
( spl0_1013
<=> theorem(or(r,not(not(or(p,q))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1013])]) ).
fof(f16747,plain,
( spl0_355
<=> ! [X6,X4,X5] :
( ~ theorem(or(X4,not(X5)))
| theorem(implies(X5,or(X6,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f46307,plain,
( spl0_908
<=> theorem(implies(not(or(p,q)),or(p,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_908])]) ).
fof(f46402,plain,
( ~ theorem(or(r,not(not(or(p,q)))))
| ~ spl0_355
| spl0_908 ),
inference(resolution,[],[f46309,f16748]) ).
fof(f16748,plain,
( ! [X6,X4,X5] :
( theorem(implies(X5,or(X6,X4)))
| ~ theorem(or(X4,not(X5))) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f16747]) ).
fof(f46309,plain,
( ~ theorem(implies(not(or(p,q)),or(p,r)))
| spl0_908 ),
inference(avatar_component_clause,[],[f46307]) ).
fof(f46751,plain,
( spl0_1012
| ~ spl0_48
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3058,f2774,f318,f46749]) ).
fof(f46749,plain,
( spl0_1012
<=> ! [X24,X23,X25,X22] :
( theorem(implies(implies(X22,X23),implies(X22,X24)))
| ~ theorem(implies(X23,X25))
| ~ theorem(implies(X25,X24)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1012])]) ).
fof(f3058,plain,
( ! [X24,X22,X25,X23] :
( theorem(implies(implies(X22,X23),implies(X22,X24)))
| ~ theorem(implies(X23,X25))
| ~ theorem(implies(X25,X24)) )
| ~ spl0_48
| ~ spl0_194 ),
inference(resolution,[],[f2775,f319]) ).
fof(f46747,plain,
( spl0_1011
| ~ spl0_133
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3057,f2774,f1435,f46745]) ).
fof(f46745,plain,
( spl0_1011
<=> ! [X18,X19,X20,X21] :
( theorem(implies(implies(X18,X19),implies(implies(X20,X21),implies(X18,X21))))
| ~ theorem(implies(X19,X20)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1011])]) ).
fof(f3057,plain,
( ! [X21,X18,X19,X20] :
( theorem(implies(implies(X18,X19),implies(implies(X20,X21),implies(X18,X21))))
| ~ theorem(implies(X19,X20)) )
| ~ spl0_133
| ~ spl0_194 ),
inference(resolution,[],[f2775,f1436]) ).
fof(f46743,plain,
( spl0_1010
| ~ spl0_36
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3056,f2774,f223,f46741]) ).
fof(f46741,plain,
( spl0_1010
<=> ! [X17,X14,X16,X15] :
( theorem(implies(implies(X14,X15),implies(implies(X16,X14),implies(X16,X17))))
| ~ theorem(implies(X15,X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1010])]) ).
fof(f3056,plain,
( ! [X16,X14,X17,X15] :
( theorem(implies(implies(X14,X15),implies(implies(X16,X14),implies(X16,X17))))
| ~ theorem(implies(X15,X17)) )
| ~ spl0_36
| ~ spl0_194 ),
inference(resolution,[],[f2775,f224]) ).
fof(f46739,plain,
( spl0_1009
| ~ spl0_21
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3055,f2774,f126,f46737]) ).
fof(f46737,plain,
( spl0_1009
<=> ! [X10,X11,X13,X12] :
( theorem(implies(implies(X10,X11),implies(or(X12,X10),or(X12,X13))))
| ~ theorem(implies(X11,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1009])]) ).
fof(f3055,plain,
( ! [X10,X11,X12,X13] :
( theorem(implies(implies(X10,X11),implies(or(X12,X10),or(X12,X13))))
| ~ theorem(implies(X11,X13)) )
| ~ spl0_21
| ~ spl0_194 ),
inference(resolution,[],[f2775,f127]) ).
fof(f46735,plain,
( spl0_1008
| ~ spl0_33
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3054,f2774,f211,f46733]) ).
fof(f46733,plain,
( spl0_1008
<=> ! [X9,X7,X6,X8] :
( theorem(implies(implies(X6,X7),or(X8,implies(X6,X9))))
| ~ theorem(implies(X7,or(X8,X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1008])]) ).
fof(f211,plain,
( spl0_33
<=> ! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f3054,plain,
( ! [X8,X6,X9,X7] :
( theorem(implies(implies(X6,X7),or(X8,implies(X6,X9))))
| ~ theorem(implies(X7,or(X8,X9))) )
| ~ spl0_33
| ~ spl0_194 ),
inference(resolution,[],[f2775,f212]) ).
fof(f212,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f46731,plain,
( spl0_1007
| ~ spl0_145
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3052,f2774,f1484,f46729]) ).
fof(f3052,plain,
( ! [X2,X0,X1] :
( theorem(implies(implies(X0,X1),X2))
| ~ theorem(implies(X1,not(X0)))
| ~ theorem(implies(not(X0),X2)) )
| ~ spl0_145
| ~ spl0_194 ),
inference(resolution,[],[f2775,f1485]) ).
fof(f46727,plain,
( spl0_1006
| ~ spl0_48
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3030,f2770,f318,f46725]) ).
fof(f46725,plain,
( spl0_1006
<=> ! [X18,X19,X20,X21] :
( theorem(implies(implies(X18,X19),implies(implies(X20,X18),X21)))
| ~ theorem(implies(implies(X20,X19),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1006])]) ).
fof(f2770,plain,
( spl0_193
<=> ! [X44,X47,X46,X45] :
( theorem(implies(implies(X44,X45),X46))
| ~ theorem(implies(implies(implies(X47,X44),implies(X47,X45)),X46)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f3030,plain,
( ! [X21,X18,X19,X20] :
( theorem(implies(implies(X18,X19),implies(implies(X20,X18),X21)))
| ~ theorem(implies(implies(X20,X19),X21)) )
| ~ spl0_48
| ~ spl0_193 ),
inference(resolution,[],[f2771,f319]) ).
fof(f2771,plain,
( ! [X46,X47,X44,X45] :
( ~ theorem(implies(implies(implies(X47,X44),implies(X47,X45)),X46))
| theorem(implies(implies(X44,X45),X46)) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f2770]) ).
fof(f46723,plain,
( spl0_1005
| ~ spl0_133
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3029,f2770,f1435,f46721]) ).
fof(f46721,plain,
( spl0_1005
<=> ! [X17,X14,X16,X15] : theorem(implies(implies(X14,X15),implies(implies(implies(X16,X15),X17),implies(implies(X16,X14),X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1005])]) ).
fof(f3029,plain,
( ! [X16,X14,X17,X15] : theorem(implies(implies(X14,X15),implies(implies(implies(X16,X15),X17),implies(implies(X16,X14),X17))))
| ~ spl0_133
| ~ spl0_193 ),
inference(resolution,[],[f2771,f1436]) ).
fof(f46719,plain,
( spl0_1004
| ~ spl0_36
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3028,f2770,f223,f46717]) ).
fof(f46717,plain,
( spl0_1004
<=> ! [X10,X11,X13,X12] : theorem(implies(implies(X10,X11),implies(implies(X12,implies(X13,X10)),implies(X12,implies(X13,X11))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1004])]) ).
fof(f3028,plain,
( ! [X10,X11,X12,X13] : theorem(implies(implies(X10,X11),implies(implies(X12,implies(X13,X10)),implies(X12,implies(X13,X11)))))
| ~ spl0_36
| ~ spl0_193 ),
inference(resolution,[],[f2771,f224]) ).
fof(f46715,plain,
( spl0_1003
| ~ spl0_21
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3027,f2770,f126,f46713]) ).
fof(f46713,plain,
( spl0_1003
<=> ! [X9,X7,X6,X8] : theorem(implies(implies(X6,X7),implies(or(X8,implies(X9,X6)),or(X8,implies(X9,X7))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1003])]) ).
fof(f3027,plain,
( ! [X8,X6,X9,X7] : theorem(implies(implies(X6,X7),implies(or(X8,implies(X9,X6)),or(X8,implies(X9,X7)))))
| ~ spl0_21
| ~ spl0_193 ),
inference(resolution,[],[f2771,f127]) ).
fof(f46711,plain,
( ~ spl0_1002
| ~ spl0_351
| spl0_908 ),
inference(avatar_split_clause,[],[f46401,f46307,f16731,f46708]) ).
fof(f46708,plain,
( spl0_1002
<=> theorem(or(p,not(not(or(p,q))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1002])]) ).
fof(f16731,plain,
( spl0_351
<=> ! [X6,X4,X5] :
( ~ theorem(or(X4,not(X5)))
| theorem(implies(X5,or(X4,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f46401,plain,
( ~ theorem(or(p,not(not(or(p,q)))))
| ~ spl0_351
| spl0_908 ),
inference(resolution,[],[f46309,f16732]) ).
fof(f16732,plain,
( ! [X6,X4,X5] :
( theorem(implies(X5,or(X4,X6)))
| ~ theorem(or(X4,not(X5))) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f16731]) ).
fof(f46706,plain,
( spl0_1001
| ~ spl0_48
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2981,f2766,f318,f46704]) ).
fof(f46704,plain,
( spl0_1001
<=> ! [X18,X19,X20,X21] :
( theorem(implies(implies(X18,X19),implies(or(X20,X18),X21)))
| ~ theorem(implies(or(X20,X19),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1001])]) ).
fof(f2766,plain,
( spl0_192
<=> ! [X41,X40,X42,X43] :
( theorem(implies(implies(X40,X41),X42))
| ~ theorem(implies(implies(or(X43,X40),or(X43,X41)),X42)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f2981,plain,
( ! [X21,X18,X19,X20] :
( theorem(implies(implies(X18,X19),implies(or(X20,X18),X21)))
| ~ theorem(implies(or(X20,X19),X21)) )
| ~ spl0_48
| ~ spl0_192 ),
inference(resolution,[],[f2767,f319]) ).
fof(f2767,plain,
( ! [X40,X41,X42,X43] :
( ~ theorem(implies(implies(or(X43,X40),or(X43,X41)),X42))
| theorem(implies(implies(X40,X41),X42)) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f46702,plain,
( spl0_1000
| ~ spl0_133
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2980,f2766,f1435,f46700]) ).
fof(f46700,plain,
( spl0_1000
<=> ! [X17,X14,X16,X15] : theorem(implies(implies(X14,X15),implies(implies(or(X16,X15),X17),implies(or(X16,X14),X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1000])]) ).
fof(f2980,plain,
( ! [X16,X14,X17,X15] : theorem(implies(implies(X14,X15),implies(implies(or(X16,X15),X17),implies(or(X16,X14),X17))))
| ~ spl0_133
| ~ spl0_192 ),
inference(resolution,[],[f2767,f1436]) ).
fof(f46698,plain,
( spl0_999
| ~ spl0_36
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2979,f2766,f223,f46696]) ).
fof(f46696,plain,
( spl0_999
<=> ! [X10,X11,X13,X12] : theorem(implies(implies(X10,X11),implies(implies(X12,or(X13,X10)),implies(X12,or(X13,X11))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_999])]) ).
fof(f2979,plain,
( ! [X10,X11,X12,X13] : theorem(implies(implies(X10,X11),implies(implies(X12,or(X13,X10)),implies(X12,or(X13,X11)))))
| ~ spl0_36
| ~ spl0_192 ),
inference(resolution,[],[f2767,f224]) ).
fof(f46694,plain,
( spl0_998
| ~ spl0_21
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2978,f2766,f126,f46692]) ).
fof(f46692,plain,
( spl0_998
<=> ! [X9,X7,X6,X8] : theorem(implies(implies(X6,X7),implies(or(X8,or(X9,X6)),or(X8,or(X9,X7))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_998])]) ).
fof(f2978,plain,
( ! [X8,X6,X9,X7] : theorem(implies(implies(X6,X7),implies(or(X8,or(X9,X6)),or(X8,or(X9,X7)))))
| ~ spl0_21
| ~ spl0_192 ),
inference(resolution,[],[f2767,f127]) ).
fof(f46690,plain,
( spl0_997
| ~ spl0_48
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2952,f2758,f318,f46688]) ).
fof(f46688,plain,
( spl0_997
<=> ! [X18,X19,X20,X21] :
( theorem(implies(or(X18,implies(X19,X20)),implies(X19,X21)))
| ~ theorem(implies(or(X18,X20),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_997])]) ).
fof(f2758,plain,
( spl0_190
<=> ! [X18,X17,X16,X19] :
( theorem(implies(or(X16,implies(X17,X18)),X19))
| ~ theorem(implies(implies(X17,or(X16,X18)),X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f2952,plain,
( ! [X21,X18,X19,X20] :
( theorem(implies(or(X18,implies(X19,X20)),implies(X19,X21)))
| ~ theorem(implies(or(X18,X20),X21)) )
| ~ spl0_48
| ~ spl0_190 ),
inference(resolution,[],[f2759,f319]) ).
fof(f2759,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(implies(implies(X17,or(X16,X18)),X19))
| theorem(implies(or(X16,implies(X17,X18)),X19)) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f2758]) ).
fof(f46686,plain,
( spl0_996
| ~ spl0_133
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2951,f2758,f1435,f46684]) ).
fof(f46684,plain,
( spl0_996
<=> ! [X17,X14,X16,X15] : theorem(implies(or(X14,implies(X15,X16)),implies(implies(or(X14,X16),X17),implies(X15,X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_996])]) ).
fof(f2951,plain,
( ! [X16,X14,X17,X15] : theorem(implies(or(X14,implies(X15,X16)),implies(implies(or(X14,X16),X17),implies(X15,X17))))
| ~ spl0_133
| ~ spl0_190 ),
inference(resolution,[],[f2759,f1436]) ).
fof(f46682,plain,
( spl0_995
| ~ spl0_36
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2950,f2758,f223,f46680]) ).
fof(f46680,plain,
( spl0_995
<=> ! [X10,X11,X13,X12] : theorem(implies(or(X10,implies(X11,X12)),implies(implies(X13,X11),implies(X13,or(X10,X12))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_995])]) ).
fof(f2950,plain,
( ! [X10,X11,X12,X13] : theorem(implies(or(X10,implies(X11,X12)),implies(implies(X13,X11),implies(X13,or(X10,X12)))))
| ~ spl0_36
| ~ spl0_190 ),
inference(resolution,[],[f2759,f224]) ).
fof(f46678,plain,
( spl0_994
| ~ spl0_21
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2949,f2758,f126,f46676]) ).
fof(f46676,plain,
( spl0_994
<=> ! [X9,X7,X6,X8] : theorem(implies(or(X6,implies(X7,X8)),implies(or(X9,X7),or(X9,or(X6,X8))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_994])]) ).
fof(f2949,plain,
( ! [X8,X6,X9,X7] : theorem(implies(or(X6,implies(X7,X8)),implies(or(X9,X7),or(X9,or(X6,X8)))))
| ~ spl0_21
| ~ spl0_190 ),
inference(resolution,[],[f2759,f127]) ).
fof(f46674,plain,
( spl0_993
| ~ spl0_131
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2923,f2754,f1426,f46672]) ).
fof(f46672,plain,
( spl0_993
<=> ! [X29,X27,X28,X30] :
( theorem(implies(or(X27,X28),implies(implies(X29,X30),or(X27,X30))))
| ~ theorem(implies(X28,X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_993])]) ).
fof(f2754,plain,
( spl0_189
<=> ! [X10,X11,X12,X9] :
( theorem(implies(or(X9,X10),X11))
| ~ theorem(implies(or(X9,X12),X11))
| ~ theorem(implies(X10,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f2923,plain,
( ! [X28,X29,X27,X30] :
( theorem(implies(or(X27,X28),implies(implies(X29,X30),or(X27,X30))))
| ~ theorem(implies(X28,X29)) )
| ~ spl0_131
| ~ spl0_189 ),
inference(resolution,[],[f2755,f1427]) ).
fof(f2755,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(implies(or(X9,X12),X11))
| theorem(implies(or(X9,X10),X11))
| ~ theorem(implies(X10,X12)) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f46670,plain,
( spl0_992
| ~ spl0_32
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2922,f2754,f207,f46668]) ).
fof(f46668,plain,
( spl0_992
<=> ! [X24,X23,X25,X26] :
( theorem(implies(or(X23,X24),implies(X25,or(X23,X26))))
| ~ theorem(implies(X24,implies(X25,X26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_992])]) ).
fof(f207,plain,
( spl0_32
<=> ! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2922,plain,
( ! [X26,X24,X25,X23] :
( theorem(implies(or(X23,X24),implies(X25,or(X23,X26))))
| ~ theorem(implies(X24,implies(X25,X26))) )
| ~ spl0_32
| ~ spl0_189 ),
inference(resolution,[],[f2755,f208]) ).
fof(f208,plain,
( ! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1))))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f46663,plain,
( spl0_991
| ~ spl0_35
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2920,f2754,f219,f46661]) ).
fof(f46661,plain,
( spl0_991
<=> ! [X18,X17,X16,X19] :
( theorem(implies(or(X16,X17),or(X16,X18)))
| ~ theorem(implies(X17,X19))
| ~ theorem(implies(X19,X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_991])]) ).
fof(f2920,plain,
( ! [X18,X19,X16,X17] :
( theorem(implies(or(X16,X17),or(X16,X18)))
| ~ theorem(implies(X17,X19))
| ~ theorem(implies(X19,X18)) )
| ~ spl0_35
| ~ spl0_189 ),
inference(resolution,[],[f2755,f220]) ).
fof(f46659,plain,
( spl0_990
| ~ spl0_17
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2919,f2754,f110,f46657]) ).
fof(f46657,plain,
( spl0_990
<=> ! [X13,X14,X12,X15] :
( theorem(implies(or(X12,X13),or(X14,or(X12,X15))))
| ~ theorem(implies(X13,or(X14,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_990])]) ).
fof(f110,plain,
( spl0_17
<=> ! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f2919,plain,
( ! [X14,X15,X12,X13] :
( theorem(implies(or(X12,X13),or(X14,or(X12,X15))))
| ~ theorem(implies(X13,or(X14,X15))) )
| ~ spl0_17
| ~ spl0_189 ),
inference(resolution,[],[f2755,f111]) ).
fof(f111,plain,
( ! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f46655,plain,
( spl0_989
| ~ spl0_131
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2889,f2750,f1426,f46653]) ).
fof(f46653,plain,
( spl0_989
<=> ! [X18,X17,X16,X15] : theorem(implies(or(X15,or(X16,X17)),implies(implies(or(X15,X17),X18),or(X16,X18)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_989])]) ).
fof(f2750,plain,
( spl0_188
<=> ! [X5,X7,X6,X8] :
( theorem(implies(or(X5,or(X6,X7)),X8))
| ~ theorem(implies(or(X6,or(X5,X7)),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f2889,plain,
( ! [X18,X16,X17,X15] : theorem(implies(or(X15,or(X16,X17)),implies(implies(or(X15,X17),X18),or(X16,X18))))
| ~ spl0_131
| ~ spl0_188 ),
inference(resolution,[],[f2751,f1427]) ).
fof(f2751,plain,
( ! [X8,X6,X7,X5] :
( ~ theorem(implies(or(X6,or(X5,X7)),X8))
| theorem(implies(or(X5,or(X6,X7)),X8)) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f46651,plain,
( spl0_988
| ~ spl0_35
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2888,f2750,f219,f46649]) ).
fof(f46649,plain,
( spl0_988
<=> ! [X11,X13,X14,X12] :
( theorem(implies(or(X11,or(X12,X13)),or(X12,X14)))
| ~ theorem(implies(or(X11,X13),X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_988])]) ).
fof(f2888,plain,
( ! [X11,X14,X12,X13] :
( theorem(implies(or(X11,or(X12,X13)),or(X12,X14)))
| ~ theorem(implies(or(X11,X13),X14)) )
| ~ spl0_35
| ~ spl0_188 ),
inference(resolution,[],[f2751,f220]) ).
fof(f46647,plain,
( spl0_987
| ~ spl0_114
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2885,f2750,f1042,f46645]) ).
fof(f46645,plain,
( spl0_987
<=> ! [X4,X2,X3] :
( theorem(implies(or(X2,or(or(X2,X3),X3)),X4))
| ~ theorem(implies(or(X2,X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_987])]) ).
fof(f2885,plain,
( ! [X2,X3,X4] :
( theorem(implies(or(X2,or(or(X2,X3),X3)),X4))
| ~ theorem(implies(or(X2,X3),X4)) )
| ~ spl0_114
| ~ spl0_188 ),
inference(resolution,[],[f2751,f1043]) ).
fof(f46643,plain,
( spl0_986
| ~ spl0_42
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2712,f2130,f285,f46641]) ).
fof(f46641,plain,
( spl0_986
<=> ! [X167,X166,X164,X165] :
( theorem(or(X164,implies(X165,implies(X166,not(X167)))))
| ~ theorem(implies(X165,implies(X167,not(X166)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_986])]) ).
fof(f285,plain,
( spl0_42
<=> ! [X0,X1] : theorem(implies(implies(X1,not(X0)),implies(X0,not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f2130,plain,
( spl0_184
<=> ! [X44,X43,X42,X45] :
( theorem(or(X42,implies(X43,X44)))
| ~ theorem(implies(X45,X44))
| ~ theorem(implies(X43,X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f2712,plain,
( ! [X166,X167,X164,X165] :
( theorem(or(X164,implies(X165,implies(X166,not(X167)))))
| ~ theorem(implies(X165,implies(X167,not(X166)))) )
| ~ spl0_42
| ~ spl0_184 ),
inference(resolution,[],[f2131,f286]) ).
fof(f286,plain,
( ! [X0,X1] : theorem(implies(implies(X1,not(X0)),implies(X0,not(X1))))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f2131,plain,
( ! [X44,X45,X42,X43] :
( ~ theorem(implies(X45,X44))
| theorem(or(X42,implies(X43,X44)))
| ~ theorem(implies(X43,X45)) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f46639,plain,
( spl0_985
| ~ spl0_105
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2700,f2130,f1002,f46637]) ).
fof(f46637,plain,
( spl0_985
<=> ! [X112,X113,X111,X114] :
( theorem(or(X111,implies(X112,implies(implies(X113,not(X114)),not(X113)))))
| ~ theorem(implies(X112,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_985])]) ).
fof(f1002,plain,
( spl0_105
<=> ! [X0,X1] : theorem(implies(X0,implies(implies(X1,not(X0)),not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f2700,plain,
( ! [X113,X111,X114,X112] :
( theorem(or(X111,implies(X112,implies(implies(X113,not(X114)),not(X113)))))
| ~ theorem(implies(X112,X114)) )
| ~ spl0_105
| ~ spl0_184 ),
inference(resolution,[],[f2131,f1003]) ).
fof(f1003,plain,
( ! [X0,X1] : theorem(implies(X0,implies(implies(X1,not(X0)),not(X1))))
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f46635,plain,
( spl0_984
| ~ spl0_108
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2695,f2130,f1014,f46633]) ).
fof(f46633,plain,
( spl0_984
<=> ! [X92,X88,X91,X90,X89] :
( theorem(or(X88,implies(X89,implies(X90,X91))))
| ~ theorem(implies(X89,X92))
| ~ theorem(implies(X92,X91)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_984])]) ).
fof(f1014,plain,
( spl0_108
<=> ! [X2,X0,X1] :
( ~ theorem(implies(X0,X2))
| theorem(implies(X0,implies(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f2695,plain,
( ! [X90,X91,X88,X89,X92] :
( theorem(or(X88,implies(X89,implies(X90,X91))))
| ~ theorem(implies(X89,X92))
| ~ theorem(implies(X92,X91)) )
| ~ spl0_108
| ~ spl0_184 ),
inference(resolution,[],[f2131,f1015]) ).
fof(f1015,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(implies(X0,X2)) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f46631,plain,
( spl0_983
| ~ spl0_60
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2688,f2130,f426,f46629]) ).
fof(f46629,plain,
( spl0_983
<=> ! [X55,X57,X56,X59,X58] :
( theorem(or(X55,implies(X56,or(X57,X58))))
| ~ theorem(implies(X56,X59))
| ~ theorem(implies(X59,X58)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_983])]) ).
fof(f426,plain,
( spl0_60
<=> ! [X2,X0,X1] :
( ~ theorem(implies(X0,X2))
| theorem(implies(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2688,plain,
( ! [X58,X59,X56,X57,X55] :
( theorem(or(X55,implies(X56,or(X57,X58))))
| ~ theorem(implies(X56,X59))
| ~ theorem(implies(X59,X58)) )
| ~ spl0_60
| ~ spl0_184 ),
inference(resolution,[],[f2131,f427]) ).
fof(f427,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(implies(X0,X2)) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f46627,plain,
( spl0_982
| ~ spl0_114
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2676,f2130,f1042,f46625]) ).
fof(f46625,plain,
( spl0_982
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(implies(X4,or(X6,X6)))
| ~ theorem(implies(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_982])]) ).
fof(f2676,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(implies(X4,or(X6,X6)))
| ~ theorem(implies(X6,X5)) )
| ~ spl0_114
| ~ spl0_184 ),
inference(resolution,[],[f2131,f1043]) ).
fof(f46620,plain,
( spl0_981
| ~ spl0_42
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2672,f2126,f285,f46618]) ).
fof(f46618,plain,
( spl0_981
<=> ! [X167,X166,X164,X165] :
( theorem(or(X164,implies(X165,implies(X166,not(X167)))))
| ~ theorem(or(X164,implies(X167,not(X166)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_981])]) ).
fof(f2126,plain,
( spl0_183
<=> ! [X10,X11,X12,X9] :
( theorem(or(X9,implies(X10,X11)))
| ~ theorem(implies(X12,X11))
| ~ theorem(or(X9,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f2672,plain,
( ! [X166,X167,X164,X165] :
( theorem(or(X164,implies(X165,implies(X166,not(X167)))))
| ~ theorem(or(X164,implies(X167,not(X166)))) )
| ~ spl0_42
| ~ spl0_183 ),
inference(resolution,[],[f2127,f286]) ).
fof(f2127,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(implies(X12,X11))
| theorem(or(X9,implies(X10,X11)))
| ~ theorem(or(X9,X12)) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f46616,plain,
( spl0_980
| ~ spl0_105
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2660,f2126,f1002,f46614]) ).
fof(f46614,plain,
( spl0_980
<=> ! [X112,X113,X111,X114] :
( theorem(or(X111,implies(X112,implies(implies(X113,not(X114)),not(X113)))))
| ~ theorem(or(X111,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_980])]) ).
fof(f2660,plain,
( ! [X113,X111,X114,X112] :
( theorem(or(X111,implies(X112,implies(implies(X113,not(X114)),not(X113)))))
| ~ theorem(or(X111,X114)) )
| ~ spl0_105
| ~ spl0_183 ),
inference(resolution,[],[f2127,f1003]) ).
fof(f46612,plain,
( spl0_979
| ~ spl0_108
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2655,f2126,f1014,f46610]) ).
fof(f46610,plain,
( spl0_979
<=> ! [X92,X88,X91,X90,X89] :
( theorem(or(X88,implies(X89,implies(X90,X91))))
| ~ theorem(or(X88,X92))
| ~ theorem(implies(X92,X91)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_979])]) ).
fof(f2655,plain,
( ! [X90,X91,X88,X89,X92] :
( theorem(or(X88,implies(X89,implies(X90,X91))))
| ~ theorem(or(X88,X92))
| ~ theorem(implies(X92,X91)) )
| ~ spl0_108
| ~ spl0_183 ),
inference(resolution,[],[f2127,f1015]) ).
fof(f46608,plain,
( spl0_978
| ~ spl0_60
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2648,f2126,f426,f46606]) ).
fof(f46606,plain,
( spl0_978
<=> ! [X55,X57,X56,X59,X58] :
( theorem(or(X55,implies(X56,or(X57,X58))))
| ~ theorem(or(X55,X59))
| ~ theorem(implies(X59,X58)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_978])]) ).
fof(f2648,plain,
( ! [X58,X59,X56,X57,X55] :
( theorem(or(X55,implies(X56,or(X57,X58))))
| ~ theorem(or(X55,X59))
| ~ theorem(implies(X59,X58)) )
| ~ spl0_60
| ~ spl0_183 ),
inference(resolution,[],[f2127,f427]) ).
fof(f46604,plain,
( spl0_977
| ~ spl0_114
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2636,f2126,f1042,f46602]) ).
fof(f46602,plain,
( spl0_977
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(or(X3,or(X6,X6)))
| ~ theorem(implies(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_977])]) ).
fof(f2636,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(or(X3,or(X6,X6)))
| ~ theorem(implies(X6,X5)) )
| ~ spl0_114
| ~ spl0_183 ),
inference(resolution,[],[f2127,f1043]) ).
fof(f46600,plain,
( spl0_976
| ~ spl0_163
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f2629,f2122,f2030,f46598]) ).
fof(f46598,plain,
( spl0_976
<=> ! [X51,X54,X53,X50,X52] :
( ~ theorem(implies(X50,or(X51,X52)))
| theorem(or(X53,implies(X54,or(X51,implies(X50,X52))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_976])]) ).
fof(f2030,plain,
( spl0_163
<=> ! [X9,X8,X10] :
( ~ theorem(or(or(X8,implies(X9,X10)),X10))
| theorem(or(X8,implies(X9,X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f2122,plain,
( spl0_182
<=> ! [X31,X29,X28,X30] :
( theorem(or(X28,or(X29,implies(X30,X31))))
| ~ theorem(implies(X30,or(X29,X31))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f2629,plain,
( ! [X50,X51,X54,X52,X53] :
( ~ theorem(implies(X50,or(X51,X52)))
| theorem(or(X53,implies(X54,or(X51,implies(X50,X52))))) )
| ~ spl0_163
| ~ spl0_182 ),
inference(resolution,[],[f2123,f2031]) ).
fof(f2031,plain,
( ! [X10,X8,X9] :
( ~ theorem(or(or(X8,implies(X9,X10)),X10))
| theorem(or(X8,implies(X9,X10))) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f2030]) ).
fof(f2123,plain,
( ! [X31,X28,X29,X30] :
( theorem(or(X28,or(X29,implies(X30,X31))))
| ~ theorem(implies(X30,or(X29,X31))) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f46596,plain,
( spl0_975
| ~ spl0_160
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f2628,f2122,f2018,f46594]) ).
fof(f46594,plain,
( spl0_975
<=> ! [X48,X47,X46,X49,X45] :
( ~ theorem(implies(X45,or(X46,X47)))
| theorem(or(X48,or(X49,or(X46,implies(X45,X47))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_975])]) ).
fof(f2018,plain,
( spl0_160
<=> ! [X9,X8,X7] :
( theorem(or(X7,or(X8,X9)))
| ~ theorem(or(or(X7,or(X8,X9)),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f2628,plain,
( ! [X48,X46,X49,X47,X45] :
( ~ theorem(implies(X45,or(X46,X47)))
| theorem(or(X48,or(X49,or(X46,implies(X45,X47))))) )
| ~ spl0_160
| ~ spl0_182 ),
inference(resolution,[],[f2123,f2019]) ).
fof(f2019,plain,
( ! [X8,X9,X7] :
( ~ theorem(or(or(X7,or(X8,X9)),X9))
| theorem(or(X7,or(X8,X9))) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f46592,plain,
( spl0_974
| ~ spl0_128
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f2627,f2122,f1414,f46590]) ).
fof(f46590,plain,
( spl0_974
<=> ! [X41,X40,X44,X42,X43] :
( ~ theorem(implies(X40,or(X41,X42)))
| theorem(or(or(X43,or(X41,implies(X40,X42))),X44)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_974])]) ).
fof(f2627,plain,
( ! [X40,X41,X44,X42,X43] :
( ~ theorem(implies(X40,or(X41,X42)))
| theorem(or(or(X43,or(X41,implies(X40,X42))),X44)) )
| ~ spl0_128
| ~ spl0_182 ),
inference(resolution,[],[f2123,f1415]) ).
fof(f46588,plain,
( spl0_973
| ~ spl0_19
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f2603,f2118,f118,f46586]) ).
fof(f46586,plain,
( spl0_973
<=> ! [X25,X24,X26] :
( ~ theorem(or(or(X24,implies(X25,X26)),or(X24,X26)))
| theorem(or(X24,implies(X25,X26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_973])]) ).
fof(f2118,plain,
( spl0_181
<=> ! [X18,X17,X16,X19] :
( theorem(or(X16,or(X17,implies(X18,X19))))
| ~ theorem(or(X16,or(X17,X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f2603,plain,
( ! [X26,X24,X25] :
( ~ theorem(or(or(X24,implies(X25,X26)),or(X24,X26)))
| theorem(or(X24,implies(X25,X26))) )
| ~ spl0_19
| ~ spl0_181 ),
inference(resolution,[],[f2119,f119]) ).
fof(f2119,plain,
( ! [X18,X19,X16,X17] :
( theorem(or(X16,or(X17,implies(X18,X19))))
| ~ theorem(or(X16,or(X17,X19))) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f46584,plain,
( spl0_972
| ~ spl0_163
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f2593,f2114,f2030,f46582]) ).
fof(f46582,plain,
( spl0_972
<=> ! [X48,X47,X50,X49,X46] :
( ~ theorem(implies(X46,implies(X47,X48)))
| theorem(or(X49,implies(X50,implies(X47,implies(X46,X48))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_972])]) ).
fof(f2593,plain,
( ! [X50,X48,X46,X49,X47] :
( ~ theorem(implies(X46,implies(X47,X48)))
| theorem(or(X49,implies(X50,implies(X47,implies(X46,X48))))) )
| ~ spl0_163
| ~ spl0_180 ),
inference(resolution,[],[f2115,f2031]) ).
fof(f46580,plain,
( ~ spl0_971
| ~ spl0_286
| spl0_908 ),
inference(avatar_split_clause,[],[f46399,f46307,f9192,f46577]) ).
fof(f46577,plain,
( spl0_971
<=> theorem(implies(not(or(p,q)),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_971])]) ).
fof(f9192,plain,
( spl0_286
<=> ! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(implies(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f46399,plain,
( ~ theorem(implies(not(or(p,q)),p))
| ~ spl0_286
| spl0_908 ),
inference(resolution,[],[f46309,f9193]) ).
fof(f9193,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(implies(X0,X1)) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f9192]) ).
fof(f46575,plain,
( spl0_970
| ~ spl0_160
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f2592,f2114,f2018,f46573]) ).
fof(f46573,plain,
( spl0_970
<=> ! [X41,X43,X42,X44,X45] :
( ~ theorem(implies(X41,implies(X42,X43)))
| theorem(or(X44,or(X45,implies(X42,implies(X41,X43))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_970])]) ).
fof(f2592,plain,
( ! [X41,X44,X45,X42,X43] :
( ~ theorem(implies(X41,implies(X42,X43)))
| theorem(or(X44,or(X45,implies(X42,implies(X41,X43))))) )
| ~ spl0_160
| ~ spl0_180 ),
inference(resolution,[],[f2115,f2019]) ).
fof(f46571,plain,
( spl0_969
| ~ spl0_128
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f2591,f2114,f1414,f46569]) ).
fof(f46569,plain,
( spl0_969
<=> ! [X38,X40,X36,X39,X37] :
( ~ theorem(implies(X36,implies(X37,X38)))
| theorem(or(or(X39,implies(X37,implies(X36,X38))),X40)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_969])]) ).
fof(f2591,plain,
( ! [X40,X38,X39,X36,X37] :
( ~ theorem(implies(X36,implies(X37,X38)))
| theorem(or(or(X39,implies(X37,implies(X36,X38))),X40)) )
| ~ spl0_128
| ~ spl0_180 ),
inference(resolution,[],[f2115,f1415]) ).
fof(f46567,plain,
( spl0_968
| ~ spl0_19
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2570,f2110,f118,f46565]) ).
fof(f46565,plain,
( spl0_968
<=> ! [X18,X17,X19] :
( ~ theorem(or(implies(X17,implies(X18,X19)),implies(X17,X19)))
| theorem(implies(X17,implies(X18,X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_968])]) ).
fof(f2110,plain,
( spl0_179
<=> ! [X18,X17,X16,X19] :
( theorem(or(X16,implies(X17,implies(X18,X19))))
| ~ theorem(or(X16,implies(X17,X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f2570,plain,
( ! [X18,X19,X17] :
( ~ theorem(or(implies(X17,implies(X18,X19)),implies(X17,X19)))
| theorem(implies(X17,implies(X18,X19))) )
| ~ spl0_19
| ~ spl0_179 ),
inference(resolution,[],[f2111,f119]) ).
fof(f2111,plain,
( ! [X18,X19,X16,X17] :
( theorem(or(X16,implies(X17,implies(X18,X19))))
| ~ theorem(or(X16,implies(X17,X19))) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f46563,plain,
( spl0_967
| ~ spl0_163
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2560,f2106,f2030,f46561]) ).
fof(f46561,plain,
( spl0_967
<=> ! [X48,X47,X50,X49,X46] :
( ~ theorem(or(X46,implies(X47,X48)))
| theorem(or(X49,implies(X50,implies(X47,or(X46,X48))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_967])]) ).
fof(f2106,plain,
( spl0_178
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(or(X14,implies(X13,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f2560,plain,
( ! [X50,X48,X46,X49,X47] :
( ~ theorem(or(X46,implies(X47,X48)))
| theorem(or(X49,implies(X50,implies(X47,or(X46,X48))))) )
| ~ spl0_163
| ~ spl0_178 ),
inference(resolution,[],[f2107,f2031]) ).
fof(f2107,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(or(X14,implies(X13,X15))) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f2106]) ).
fof(f46559,plain,
( spl0_966
| ~ spl0_160
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2559,f2106,f2018,f46557]) ).
fof(f46557,plain,
( spl0_966
<=> ! [X41,X43,X42,X44,X45] :
( ~ theorem(or(X41,implies(X42,X43)))
| theorem(or(X44,or(X45,implies(X42,or(X41,X43))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_966])]) ).
fof(f2559,plain,
( ! [X41,X44,X45,X42,X43] :
( ~ theorem(or(X41,implies(X42,X43)))
| theorem(or(X44,or(X45,implies(X42,or(X41,X43))))) )
| ~ spl0_160
| ~ spl0_178 ),
inference(resolution,[],[f2107,f2019]) ).
fof(f46555,plain,
( spl0_965
| ~ spl0_128
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2558,f2106,f1414,f46553]) ).
fof(f46553,plain,
( spl0_965
<=> ! [X38,X40,X36,X39,X37] :
( ~ theorem(or(X36,implies(X37,X38)))
| theorem(or(or(X39,implies(X37,or(X36,X38))),X40)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_965])]) ).
fof(f2558,plain,
( ! [X40,X38,X39,X36,X37] :
( ~ theorem(or(X36,implies(X37,X38)))
| theorem(or(or(X39,implies(X37,or(X36,X38))),X40)) )
| ~ spl0_128
| ~ spl0_178 ),
inference(resolution,[],[f2107,f1415]) ).
fof(f46551,plain,
( spl0_964
| ~ spl0_19
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f2536,f2102,f118,f46549]) ).
fof(f46549,plain,
( spl0_964
<=> ! [X18,X17,X19] :
( ~ theorem(or(implies(X17,or(X18,X19)),implies(X17,X19)))
| theorem(implies(X17,or(X18,X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_964])]) ).
fof(f2102,plain,
( spl0_177
<=> ! [X5,X4,X7,X6] :
( theorem(or(X4,implies(X5,or(X6,X7))))
| ~ theorem(or(X4,implies(X5,X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f2536,plain,
( ! [X18,X19,X17] :
( ~ theorem(or(implies(X17,or(X18,X19)),implies(X17,X19)))
| theorem(implies(X17,or(X18,X19))) )
| ~ spl0_19
| ~ spl0_177 ),
inference(resolution,[],[f2103,f119]) ).
fof(f2103,plain,
( ! [X6,X7,X4,X5] :
( theorem(or(X4,implies(X5,or(X6,X7))))
| ~ theorem(or(X4,implies(X5,X7))) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f2102]) ).
fof(f46547,plain,
( spl0_963
| ~ spl0_42
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2529,f2098,f285,f46545]) ).
fof(f46545,plain,
( spl0_963
<=> ! [X167,X166,X164,X165] :
( theorem(or(X164,or(X165,implies(X166,not(X167)))))
| ~ theorem(or(X165,implies(X167,not(X166)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_963])]) ).
fof(f2098,plain,
( spl0_176
<=> ! [X18,X17,X16,X19] :
( theorem(or(X16,or(X17,X18)))
| ~ theorem(implies(X19,X18))
| ~ theorem(or(X17,X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f2529,plain,
( ! [X166,X167,X164,X165] :
( theorem(or(X164,or(X165,implies(X166,not(X167)))))
| ~ theorem(or(X165,implies(X167,not(X166)))) )
| ~ spl0_42
| ~ spl0_176 ),
inference(resolution,[],[f2099,f286]) ).
fof(f2099,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(implies(X19,X18))
| theorem(or(X16,or(X17,X18)))
| ~ theorem(or(X17,X19)) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f46543,plain,
( spl0_962
| ~ spl0_105
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2517,f2098,f1002,f46541]) ).
fof(f46541,plain,
( spl0_962
<=> ! [X112,X113,X111,X114] :
( theorem(or(X111,or(X112,implies(implies(X113,not(X114)),not(X113)))))
| ~ theorem(or(X112,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_962])]) ).
fof(f2517,plain,
( ! [X113,X111,X114,X112] :
( theorem(or(X111,or(X112,implies(implies(X113,not(X114)),not(X113)))))
| ~ theorem(or(X112,X114)) )
| ~ spl0_105
| ~ spl0_176 ),
inference(resolution,[],[f2099,f1003]) ).
fof(f46539,plain,
( spl0_961
| ~ spl0_108
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2512,f2098,f1014,f46537]) ).
fof(f46537,plain,
( spl0_961
<=> ! [X92,X88,X91,X90,X89] :
( theorem(or(X88,or(X89,implies(X90,X91))))
| ~ theorem(or(X89,X92))
| ~ theorem(implies(X92,X91)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_961])]) ).
fof(f2512,plain,
( ! [X90,X91,X88,X89,X92] :
( theorem(or(X88,or(X89,implies(X90,X91))))
| ~ theorem(or(X89,X92))
| ~ theorem(implies(X92,X91)) )
| ~ spl0_108
| ~ spl0_176 ),
inference(resolution,[],[f2099,f1015]) ).
fof(f46535,plain,
( ~ spl0_960
| ~ spl0_60
| spl0_908 ),
inference(avatar_split_clause,[],[f46397,f46307,f426,f46532]) ).
fof(f46532,plain,
( spl0_960
<=> theorem(implies(not(or(p,q)),r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_960])]) ).
fof(f46397,plain,
( ~ theorem(implies(not(or(p,q)),r))
| ~ spl0_60
| spl0_908 ),
inference(resolution,[],[f46309,f427]) ).
fof(f46530,plain,
( spl0_959
| ~ spl0_60
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2505,f2098,f426,f46528]) ).
fof(f46528,plain,
( spl0_959
<=> ! [X55,X57,X56,X59,X58] :
( theorem(or(X55,or(X56,or(X57,X58))))
| ~ theorem(or(X56,X59))
| ~ theorem(implies(X59,X58)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_959])]) ).
fof(f2505,plain,
( ! [X58,X59,X56,X57,X55] :
( theorem(or(X55,or(X56,or(X57,X58))))
| ~ theorem(or(X56,X59))
| ~ theorem(implies(X59,X58)) )
| ~ spl0_60
| ~ spl0_176 ),
inference(resolution,[],[f2099,f427]) ).
fof(f46526,plain,
( spl0_958
| ~ spl0_114
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2493,f2098,f1042,f46524]) ).
fof(f46524,plain,
( spl0_958
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X4,or(X6,X6)))
| ~ theorem(implies(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_958])]) ).
fof(f2493,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X4,or(X6,X6)))
| ~ theorem(implies(X6,X5)) )
| ~ spl0_114
| ~ spl0_176 ),
inference(resolution,[],[f2099,f1043]) ).
fof(f46522,plain,
( spl0_957
| ~ spl0_163
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f2484,f2078,f2030,f46520]) ).
fof(f46520,plain,
( spl0_957
<=> ! [X51,X54,X53,X50,X52] :
( ~ theorem(or(X50,or(X51,X52)))
| theorem(or(X53,implies(X54,or(X51,or(X50,X52))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_957])]) ).
fof(f2078,plain,
( spl0_175
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X14,or(X13,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f2484,plain,
( ! [X50,X51,X54,X52,X53] :
( ~ theorem(or(X50,or(X51,X52)))
| theorem(or(X53,implies(X54,or(X51,or(X50,X52))))) )
| ~ spl0_163
| ~ spl0_175 ),
inference(resolution,[],[f2079,f2031]) ).
fof(f2079,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X14,or(X13,X15))) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f2078]) ).
fof(f46518,plain,
( spl0_956
| ~ spl0_160
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f2483,f2078,f2018,f46516]) ).
fof(f46516,plain,
( spl0_956
<=> ! [X48,X47,X46,X49,X45] :
( ~ theorem(or(X45,or(X46,X47)))
| theorem(or(X48,or(X49,or(X46,or(X45,X47))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_956])]) ).
fof(f2483,plain,
( ! [X48,X46,X49,X47,X45] :
( ~ theorem(or(X45,or(X46,X47)))
| theorem(or(X48,or(X49,or(X46,or(X45,X47))))) )
| ~ spl0_160
| ~ spl0_175 ),
inference(resolution,[],[f2079,f2019]) ).
fof(f46514,plain,
( spl0_955
| ~ spl0_128
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f2482,f2078,f1414,f46512]) ).
fof(f46512,plain,
( spl0_955
<=> ! [X41,X40,X44,X42,X43] :
( ~ theorem(or(X40,or(X41,X42)))
| theorem(or(or(X43,or(X41,or(X40,X42))),X44)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_955])]) ).
fof(f2482,plain,
( ! [X40,X41,X44,X42,X43] :
( ~ theorem(or(X40,or(X41,X42)))
| theorem(or(or(X43,or(X41,or(X40,X42))),X44)) )
| ~ spl0_128
| ~ spl0_175 ),
inference(resolution,[],[f2079,f1415]) ).
fof(f46510,plain,
( spl0_954
| ~ spl0_19
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f2458,f2074,f118,f46508]) ).
fof(f46508,plain,
( spl0_954
<=> ! [X25,X24,X26] :
( ~ theorem(or(or(X24,or(X25,X26)),or(X24,X26)))
| theorem(or(X24,or(X25,X26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_954])]) ).
fof(f2074,plain,
( spl0_174
<=> ! [X5,X4,X7,X6] :
( theorem(or(X4,or(X5,or(X6,X7))))
| ~ theorem(or(X4,or(X5,X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f2458,plain,
( ! [X26,X24,X25] :
( ~ theorem(or(or(X24,or(X25,X26)),or(X24,X26)))
| theorem(or(X24,or(X25,X26))) )
| ~ spl0_19
| ~ spl0_174 ),
inference(resolution,[],[f2075,f119]) ).
fof(f2075,plain,
( ! [X6,X7,X4,X5] :
( theorem(or(X4,or(X5,or(X6,X7))))
| ~ theorem(or(X4,or(X5,X7))) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f2074]) ).
fof(f46506,plain,
( spl0_953
| ~ spl0_114
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f2434,f2070,f1042,f46504]) ).
fof(f46504,plain,
( spl0_953
<=> ! [X6,X4,X5] :
( theorem(implies(or(X4,X4),implies(X5,not(X6))))
| ~ theorem(implies(X4,implies(X6,not(X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_953])]) ).
fof(f2070,plain,
( spl0_173
<=> ! [X2,X0,X1] :
( theorem(implies(X0,implies(X2,not(X1))))
| ~ theorem(implies(X0,implies(X1,not(X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f2434,plain,
( ! [X6,X4,X5] :
( theorem(implies(or(X4,X4),implies(X5,not(X6))))
| ~ theorem(implies(X4,implies(X6,not(X5)))) )
| ~ spl0_114
| ~ spl0_173 ),
inference(resolution,[],[f2071,f1043]) ).
fof(f2071,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X1,not(X2))))
| theorem(implies(X0,implies(X2,not(X1)))) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f46502,plain,
( spl0_952
| ~ spl0_105
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2387,f2058,f1002,f46500]) ).
fof(f46500,plain,
( spl0_952
<=> ! [X75,X76,X74] : theorem(implies(implies(X74,not(X75)),implies(implies(X76,not(implies(X75,not(X74)))),not(X76)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_952])]) ).
fof(f2058,plain,
( spl0_170
<=> ! [X54,X52,X53] :
( theorem(implies(implies(X52,not(X53)),X54))
| ~ theorem(implies(implies(X53,not(X52)),X54)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f2387,plain,
( ! [X76,X74,X75] : theorem(implies(implies(X74,not(X75)),implies(implies(X76,not(implies(X75,not(X74)))),not(X76))))
| ~ spl0_105
| ~ spl0_170 ),
inference(resolution,[],[f2059,f1003]) ).
fof(f2059,plain,
( ! [X54,X52,X53] :
( ~ theorem(implies(implies(X53,not(X52)),X54))
| theorem(implies(implies(X52,not(X53)),X54)) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f2058]) ).
fof(f46498,plain,
( spl0_951
| ~ spl0_108
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2382,f2058,f1014,f46496]) ).
fof(f46496,plain,
( spl0_951
<=> ! [X59,X57,X56,X58] :
( theorem(implies(implies(X56,not(X57)),implies(X58,X59)))
| ~ theorem(implies(implies(X57,not(X56)),X59)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_951])]) ).
fof(f2382,plain,
( ! [X58,X59,X56,X57] :
( theorem(implies(implies(X56,not(X57)),implies(X58,X59)))
| ~ theorem(implies(implies(X57,not(X56)),X59)) )
| ~ spl0_108
| ~ spl0_170 ),
inference(resolution,[],[f2059,f1015]) ).
fof(f46494,plain,
( spl0_950
| ~ spl0_60
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2375,f2058,f426,f46492]) ).
fof(f46492,plain,
( spl0_950
<=> ! [X31,X33,X30,X32] :
( theorem(implies(implies(X30,not(X31)),or(X32,X33)))
| ~ theorem(implies(implies(X31,not(X30)),X33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_950])]) ).
fof(f2375,plain,
( ! [X31,X32,X30,X33] :
( theorem(implies(implies(X30,not(X31)),or(X32,X33)))
| ~ theorem(implies(implies(X31,not(X30)),X33)) )
| ~ spl0_60
| ~ spl0_170 ),
inference(resolution,[],[f2059,f427]) ).
fof(f46489,plain,
( spl0_949
| ~ spl0_94
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2360,f2054,f831,f46487]) ).
fof(f46487,plain,
( spl0_949
<=> ! [X114,X112,X113] :
( theorem(implies(X112,not(implies(or(X113,X114),not(or(X113,X114))))))
| ~ theorem(implies(X112,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_949])]) ).
fof(f2054,plain,
( spl0_169
<=> ! [X24,X23,X25,X26] :
( theorem(implies(X23,X24))
| ~ theorem(implies(or(X25,X26),X24))
| ~ theorem(implies(X23,X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f2360,plain,
( ! [X113,X114,X112] :
( theorem(implies(X112,not(implies(or(X113,X114),not(or(X113,X114))))))
| ~ theorem(implies(X112,X114)) )
| ~ spl0_94
| ~ spl0_169 ),
inference(resolution,[],[f2055,f832]) ).
fof(f2055,plain,
( ! [X26,X24,X25,X23] :
( ~ theorem(implies(or(X25,X26),X24))
| theorem(implies(X23,X24))
| ~ theorem(implies(X23,X26)) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f46485,plain,
( spl0_948
| ~ spl0_105
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2357,f2054,f1002,f46483]) ).
fof(f46483,plain,
( spl0_948
<=> ! [X101,X98,X100,X99] :
( theorem(implies(X98,implies(implies(X99,not(or(X100,X101))),not(X99))))
| ~ theorem(implies(X98,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_948])]) ).
fof(f2357,plain,
( ! [X101,X98,X99,X100] :
( theorem(implies(X98,implies(implies(X99,not(or(X100,X101))),not(X99))))
| ~ theorem(implies(X98,X101)) )
| ~ spl0_105
| ~ spl0_169 ),
inference(resolution,[],[f2055,f1003]) ).
fof(f46481,plain,
( spl0_947
| ~ spl0_108
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2352,f2054,f1014,f46479]) ).
fof(f46479,plain,
( spl0_947
<=> ! [X77,X78,X76,X80,X79] :
( theorem(implies(X76,implies(X77,X78)))
| ~ theorem(implies(X76,X79))
| ~ theorem(implies(or(X80,X79),X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_947])]) ).
fof(f2352,plain,
( ! [X80,X78,X79,X76,X77] :
( theorem(implies(X76,implies(X77,X78)))
| ~ theorem(implies(X76,X79))
| ~ theorem(implies(or(X80,X79),X78)) )
| ~ spl0_108
| ~ spl0_169 ),
inference(resolution,[],[f2055,f1015]) ).
fof(f46477,plain,
( spl0_946
| ~ spl0_60
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2345,f2054,f426,f46475]) ).
fof(f46475,plain,
( spl0_946
<=> ! [X48,X47,X46,X49,X45] :
( theorem(implies(X45,or(X46,X47)))
| ~ theorem(implies(X45,X48))
| ~ theorem(implies(or(X49,X48),X47)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_946])]) ).
fof(f2345,plain,
( ! [X48,X46,X49,X47,X45] :
( theorem(implies(X45,or(X46,X47)))
| ~ theorem(implies(X45,X48))
| ~ theorem(implies(or(X49,X48),X47)) )
| ~ spl0_60
| ~ spl0_169 ),
inference(resolution,[],[f2055,f427]) ).
fof(f46473,plain,
( spl0_945
| ~ spl0_59
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2315,f2050,f422,f46471]) ).
fof(f46471,plain,
( spl0_945
<=> ! [X88,X87,X90,X89] :
( theorem(or(or(X87,implies(X88,X89)),not(X90)))
| ~ theorem(or(implies(X90,not(X90)),X89)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_945])]) ).
fof(f422,plain,
( spl0_59
<=> ! [X2,X0,X1] :
( theorem(or(X2,implies(X0,X1)))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2050,plain,
( spl0_168
<=> ! [X9,X8,X10] :
( theorem(or(or(X8,X9),not(X10)))
| ~ theorem(or(implies(X10,not(X10)),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f2315,plain,
( ! [X90,X88,X89,X87] :
( theorem(or(or(X87,implies(X88,X89)),not(X90)))
| ~ theorem(or(implies(X90,not(X90)),X89)) )
| ~ spl0_59
| ~ spl0_168 ),
inference(resolution,[],[f2051,f423]) ).
fof(f423,plain,
( ! [X2,X0,X1] :
( theorem(or(X2,implies(X0,X1)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f2051,plain,
( ! [X10,X8,X9] :
( ~ theorem(or(implies(X10,not(X10)),X9))
| theorem(or(or(X8,X9),not(X10))) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f46469,plain,
( spl0_944
| ~ spl0_43
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2300,f2050,f289,f46467]) ).
fof(f46467,plain,
( spl0_944
<=> ! [X31,X29,X28,X30] :
( theorem(or(or(X28,or(X29,X30)),not(X31)))
| ~ theorem(or(implies(X31,not(X31)),X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_944])]) ).
fof(f289,plain,
( spl0_43
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f2300,plain,
( ! [X31,X28,X29,X30] :
( theorem(or(or(X28,or(X29,X30)),not(X31)))
| ~ theorem(or(implies(X31,not(X31)),X30)) )
| ~ spl0_43
| ~ spl0_168 ),
inference(resolution,[],[f2051,f290]) ).
fof(f290,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f46465,plain,
( spl0_943
| ~ spl0_111
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2297,f2050,f1030,f46463]) ).
fof(f46463,plain,
( spl0_943
<=> ! [X18,X17,X16,X19] :
( theorem(or(or(X16,or(X17,X18)),not(X19)))
| ~ theorem(or(implies(X19,not(X19)),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_943])]) ).
fof(f1030,plain,
( spl0_111
<=> ! [X4,X5,X3] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f2297,plain,
( ! [X18,X19,X16,X17] :
( theorem(or(or(X16,or(X17,X18)),not(X19)))
| ~ theorem(or(implies(X19,not(X19)),X17)) )
| ~ spl0_111
| ~ spl0_168 ),
inference(resolution,[],[f2051,f1031]) ).
fof(f1031,plain,
( ! [X3,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X3,X4)) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f46461,plain,
( spl0_942
| ~ spl0_137
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2293,f2050,f1451,f46459]) ).
fof(f46459,plain,
( spl0_942
<=> ! [X4,X5,X3] :
( theorem(or(or(X3,X4),not(or(X4,X5))))
| ~ theorem(implies(X5,not(or(X4,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_942])]) ).
fof(f2293,plain,
( ! [X3,X4,X5] :
( theorem(or(or(X3,X4),not(or(X4,X5))))
| ~ theorem(implies(X5,not(or(X4,X5)))) )
| ~ spl0_137
| ~ spl0_168 ),
inference(resolution,[],[f2051,f1452]) ).
fof(f46457,plain,
( spl0_941
| ~ spl0_42
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2264,f2034,f285,f46455]) ).
fof(f46455,plain,
( spl0_941
<=> ! [X167,X166,X164,X165] :
( theorem(or(X164,or(X165,implies(X166,not(X167)))))
| ~ theorem(or(X164,implies(X167,not(X166)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_941])]) ).
fof(f2034,plain,
( spl0_164
<=> ! [X5,X4,X6,X3] :
( ~ theorem(implies(X3,X4))
| theorem(or(X5,or(X6,X4)))
| ~ theorem(or(X5,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f2264,plain,
( ! [X166,X167,X164,X165] :
( theorem(or(X164,or(X165,implies(X166,not(X167)))))
| ~ theorem(or(X164,implies(X167,not(X166)))) )
| ~ spl0_42
| ~ spl0_164 ),
inference(resolution,[],[f2035,f286]) ).
fof(f2035,plain,
( ! [X3,X6,X4,X5] :
( ~ theorem(implies(X3,X4))
| theorem(or(X5,or(X6,X4)))
| ~ theorem(or(X5,X3)) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f2034]) ).
fof(f46453,plain,
( spl0_940
| ~ spl0_105
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2252,f2034,f1002,f46451]) ).
fof(f46451,plain,
( spl0_940
<=> ! [X112,X113,X111,X114] :
( theorem(or(X111,or(X112,implies(implies(X113,not(X114)),not(X113)))))
| ~ theorem(or(X111,X114)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_940])]) ).
fof(f2252,plain,
( ! [X113,X111,X114,X112] :
( theorem(or(X111,or(X112,implies(implies(X113,not(X114)),not(X113)))))
| ~ theorem(or(X111,X114)) )
| ~ spl0_105
| ~ spl0_164 ),
inference(resolution,[],[f2035,f1003]) ).
fof(f46449,plain,
( ~ spl0_939
| ~ spl0_50
| spl0_908 ),
inference(avatar_split_clause,[],[f46403,f46307,f363,f46446]) ).
fof(f46446,plain,
( spl0_939
<=> theorem(not(not(or(p,q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_939])]) ).
fof(f363,plain,
( spl0_50
<=> ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f46403,plain,
( ~ theorem(not(not(or(p,q))))
| ~ spl0_50
| spl0_908 ),
inference(resolution,[],[f46309,f364]) ).
fof(f364,plain,
( ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(not(X0)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f46444,plain,
( spl0_938
| ~ spl0_108
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2247,f2034,f1014,f46442]) ).
fof(f46442,plain,
( spl0_938
<=> ! [X92,X88,X91,X90,X89] :
( theorem(or(X88,or(X89,implies(X90,X91))))
| ~ theorem(or(X88,X92))
| ~ theorem(implies(X92,X91)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_938])]) ).
fof(f2247,plain,
( ! [X90,X91,X88,X89,X92] :
( theorem(or(X88,or(X89,implies(X90,X91))))
| ~ theorem(or(X88,X92))
| ~ theorem(implies(X92,X91)) )
| ~ spl0_108
| ~ spl0_164 ),
inference(resolution,[],[f2035,f1015]) ).
fof(f46440,plain,
( spl0_937
| ~ spl0_60
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2240,f2034,f426,f46438]) ).
fof(f46438,plain,
( spl0_937
<=> ! [X55,X57,X56,X59,X58] :
( theorem(or(X55,or(X56,or(X57,X58))))
| ~ theorem(or(X55,X59))
| ~ theorem(implies(X59,X58)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_937])]) ).
fof(f2240,plain,
( ! [X58,X59,X56,X57,X55] :
( theorem(or(X55,or(X56,or(X57,X58))))
| ~ theorem(or(X55,X59))
| ~ theorem(implies(X59,X58)) )
| ~ spl0_60
| ~ spl0_164 ),
inference(resolution,[],[f2035,f427]) ).
fof(f46436,plain,
( spl0_936
| ~ spl0_114
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2228,f2034,f1042,f46434]) ).
fof(f46434,plain,
( spl0_936
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X3,or(X6,X6)))
| ~ theorem(implies(X6,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_936])]) ).
fof(f2228,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X3,or(X6,X6)))
| ~ theorem(implies(X6,X5)) )
| ~ spl0_114
| ~ spl0_164 ),
inference(resolution,[],[f2035,f1043]) ).
fof(f46432,plain,
( spl0_935
| ~ spl0_39
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2225,f2030,f264,f46430]) ).
fof(f46430,plain,
( spl0_935
<=> ! [X105,X103,X104] :
( theorem(or(X103,implies(X104,not(X105))))
| ~ theorem(implies(X105,or(X103,implies(X104,not(X105))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_935])]) ).
fof(f264,plain,
( spl0_39
<=> ! [X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f2225,plain,
( ! [X104,X105,X103] :
( theorem(or(X103,implies(X104,not(X105))))
| ~ theorem(implies(X105,or(X103,implies(X104,not(X105))))) )
| ~ spl0_39
| ~ spl0_163 ),
inference(resolution,[],[f2031,f265]) ).
fof(f265,plain,
( ! [X0,X1] :
( theorem(or(X1,not(X0)))
| ~ theorem(implies(X0,X1)) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f46428,plain,
( spl0_934
| ~ spl0_116
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f2197,f2026,f1050,f46426]) ).
fof(f46426,plain,
( spl0_934
<=> ! [X65,X64,X63,X67,X66] :
( ~ theorem(or(implies(implies(X63,X64),X65),X66))
| theorem(implies(X64,or(or(X67,X66),X65))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_934])]) ).
fof(f1050,plain,
( spl0_116
<=> ! [X32,X33,X31] :
( theorem(implies(X31,X32))
| ~ theorem(implies(implies(X33,X31),X32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f2026,plain,
( spl0_162
<=> ! [X11,X13,X14,X12] :
( ~ theorem(or(implies(X11,X12),X13))
| theorem(implies(X11,or(or(X14,X13),X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f2197,plain,
( ! [X65,X63,X66,X67,X64] :
( ~ theorem(or(implies(implies(X63,X64),X65),X66))
| theorem(implies(X64,or(or(X67,X66),X65))) )
| ~ spl0_116
| ~ spl0_162 ),
inference(resolution,[],[f2027,f1051]) ).
fof(f1051,plain,
( ! [X31,X32,X33] :
( ~ theorem(implies(implies(X33,X31),X32))
| theorem(implies(X31,X32)) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f2027,plain,
( ! [X11,X14,X12,X13] :
( theorem(implies(X11,or(or(X14,X13),X12)))
| ~ theorem(or(implies(X11,X12),X13)) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f46424,plain,
( spl0_933
| ~ spl0_115
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f2195,f2026,f1046,f46422]) ).
fof(f46422,plain,
( spl0_933
<=> ! [X55,X54,X53,X56,X57] :
( ~ theorem(or(implies(or(X53,X54),X55),X56))
| theorem(implies(X54,or(or(X57,X56),X55))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_933])]) ).
fof(f1046,plain,
( spl0_115
<=> ! [X22,X20,X21] :
( theorem(implies(X20,X21))
| ~ theorem(implies(or(X22,X20),X21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f2195,plain,
( ! [X56,X54,X57,X55,X53] :
( ~ theorem(or(implies(or(X53,X54),X55),X56))
| theorem(implies(X54,or(or(X57,X56),X55))) )
| ~ spl0_115
| ~ spl0_162 ),
inference(resolution,[],[f2027,f1047]) ).
fof(f1047,plain,
( ! [X21,X22,X20] :
( ~ theorem(implies(or(X22,X20),X21))
| theorem(implies(X20,X21)) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f46420,plain,
( spl0_932
| ~ spl0_109
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f2189,f2026,f1018,f46418]) ).
fof(f46418,plain,
( spl0_932
<=> ! [X24,X23,X27,X25,X26] :
( ~ theorem(or(implies(X23,X24),X25))
| theorem(or(X26,or(or(X27,X25),X24)))
| ~ theorem(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_932])]) ).
fof(f1018,plain,
( spl0_109
<=> ! [X9,X8,X7] :
( ~ theorem(implies(X7,X8))
| theorem(or(X9,X8))
| ~ theorem(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f2189,plain,
( ! [X26,X27,X24,X25,X23] :
( ~ theorem(or(implies(X23,X24),X25))
| theorem(or(X26,or(or(X27,X25),X24)))
| ~ theorem(X23) )
| ~ spl0_109
| ~ spl0_162 ),
inference(resolution,[],[f2027,f1019]) ).
fof(f1019,plain,
( ! [X8,X9,X7] :
( ~ theorem(implies(X7,X8))
| theorem(or(X9,X8))
| ~ theorem(X7) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f46416,plain,
( spl0_931
| ~ spl0_117
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f2188,f2026,f1054,f46414]) ).
fof(f46414,plain,
( spl0_931
<=> ! [X18,X19,X20,X21,X22] :
( ~ theorem(or(implies(X18,X19),X20))
| theorem(implies(X21,or(or(X22,X20),X19)))
| ~ theorem(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_931])]) ).
fof(f1054,plain,
( spl0_117
<=> ! [X38,X37,X39] :
( theorem(implies(X37,X38))
| ~ theorem(implies(X39,X38))
| ~ theorem(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2188,plain,
( ! [X21,X18,X19,X22,X20] :
( ~ theorem(or(implies(X18,X19),X20))
| theorem(implies(X21,or(or(X22,X20),X19)))
| ~ theorem(X18) )
| ~ spl0_117
| ~ spl0_162 ),
inference(resolution,[],[f2027,f1055]) ).
fof(f1055,plain,
( ! [X38,X39,X37] :
( ~ theorem(implies(X39,X38))
| theorem(implies(X37,X38))
| ~ theorem(X39) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f46412,plain,
( spl0_930
| ~ spl0_19
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f2173,f2022,f118,f46410]) ).
fof(f46410,plain,
( spl0_930
<=> ! [X34,X36,X35] :
( ~ theorem(or(or(or(or(X34,X35),X36),X36),X35))
| theorem(or(or(X34,X35),X36)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_930])]) ).
fof(f2022,plain,
( spl0_161
<=> ! [X10,X7,X9,X8] :
( ~ theorem(or(or(X7,X8),X9))
| theorem(or(X7,or(or(X10,X9),X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f2173,plain,
( ! [X36,X34,X35] :
( ~ theorem(or(or(or(or(X34,X35),X36),X36),X35))
| theorem(or(or(X34,X35),X36)) )
| ~ spl0_19
| ~ spl0_161 ),
inference(resolution,[],[f2023,f119]) ).
fof(f2023,plain,
( ! [X10,X8,X9,X7] :
( theorem(or(X7,or(or(X10,X9),X8)))
| ~ theorem(or(or(X7,X8),X9)) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f46408,plain,
( spl0_929
| ~ spl0_39
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2158,f2018,f264,f46406]) ).
fof(f46406,plain,
( spl0_929
<=> ! [X100,X98,X99] :
( theorem(or(X98,or(X99,not(X100))))
| ~ theorem(implies(X100,or(X98,or(X99,not(X100))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_929])]) ).
fof(f2158,plain,
( ! [X98,X99,X100] :
( theorem(or(X98,or(X99,not(X100))))
| ~ theorem(implies(X100,or(X98,or(X99,not(X100))))) )
| ~ spl0_39
| ~ spl0_160 ),
inference(resolution,[],[f2019,f265]) ).
fof(f46394,plain,
( spl0_928
| ~ spl0_124
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f2013,f1883,f1331,f46392]) ).
fof(f46392,plain,
( spl0_928
<=> ! [X20,X21,X23,X22] :
( ~ theorem(implies(not(X20),X21))
| theorem(or(X22,X23))
| ~ theorem(not(implies(implies(X20,X22),X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_928])]) ).
fof(f1331,plain,
( spl0_124
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1883,plain,
( spl0_159
<=> ! [X36,X37,X35] :
( theorem(or(X35,implies(implies(X36,X35),X37)))
| ~ theorem(implies(not(X36),X37)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f2013,plain,
( ! [X21,X22,X23,X20] :
( ~ theorem(implies(not(X20),X21))
| theorem(or(X22,X23))
| ~ theorem(not(implies(implies(X20,X22),X21))) )
| ~ spl0_124
| ~ spl0_159 ),
inference(resolution,[],[f1884,f1332]) ).
fof(f1332,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X1,X2))
| ~ theorem(not(X0)) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1884,plain,
( ! [X36,X37,X35] :
( theorem(or(X35,implies(implies(X36,X35),X37)))
| ~ theorem(implies(not(X36),X37)) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f46390,plain,
( spl0_927
| ~ spl0_124
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f1971,f1875,f1331,f46388]) ).
fof(f46388,plain,
( spl0_927
<=> ! [X10,X11,X13,X12] :
( ~ theorem(or(X10,implies(X11,X12)))
| theorem(or(or(X12,not(X11)),X13))
| ~ theorem(not(X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_927])]) ).
fof(f1875,plain,
( spl0_157
<=> ! [X13,X14,X15] :
( ~ theorem(or(X13,implies(X14,X15)))
| theorem(or(or(X15,not(X14)),X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1971,plain,
( ! [X10,X11,X12,X13] :
( ~ theorem(or(X10,implies(X11,X12)))
| theorem(or(or(X12,not(X11)),X13))
| ~ theorem(not(X10)) )
| ~ spl0_124
| ~ spl0_157 ),
inference(resolution,[],[f1876,f1332]) ).
fof(f1876,plain,
( ! [X14,X15,X13] :
( theorem(or(or(X15,not(X14)),X13))
| ~ theorem(or(X13,implies(X14,X15))) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f46386,plain,
( spl0_926
| ~ spl0_124
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1957,f1871,f1331,f46384]) ).
fof(f46384,plain,
( spl0_926
<=> ! [X20,X21,X23,X22] :
( ~ theorem(or(X20,implies(X21,X22)))
| theorem(or(X22,X23))
| ~ theorem(not(or(X20,not(X21)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_926])]) ).
fof(f1871,plain,
( spl0_156
<=> ! [X6,X8,X7] :
( ~ theorem(or(X6,implies(X7,X8)))
| theorem(or(X8,or(X6,not(X7)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1957,plain,
( ! [X21,X22,X23,X20] :
( ~ theorem(or(X20,implies(X21,X22)))
| theorem(or(X22,X23))
| ~ theorem(not(or(X20,not(X21)))) )
| ~ spl0_124
| ~ spl0_156 ),
inference(resolution,[],[f1872,f1332]) ).
fof(f1872,plain,
( ! [X8,X6,X7] :
( theorem(or(X8,or(X6,not(X7))))
| ~ theorem(or(X6,implies(X7,X8))) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f46382,plain,
( spl0_925
| ~ spl0_95
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1955,f1871,f835,f46380]) ).
fof(f46380,plain,
( spl0_925
<=> ! [X16,X17,X15] :
( ~ theorem(or(X15,implies(X16,or(X15,not(X16)))))
| theorem(or(X17,or(X15,not(X16)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_925])]) ).
fof(f835,plain,
( spl0_95
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1955,plain,
( ! [X16,X17,X15] :
( ~ theorem(or(X15,implies(X16,or(X15,not(X16)))))
| theorem(or(X17,or(X15,not(X16)))) )
| ~ spl0_95
| ~ spl0_156 ),
inference(resolution,[],[f1872,f836]) ).
fof(f836,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f46378,plain,
( spl0_924
| ~ spl0_94
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1928,f1863,f831,f46376]) ).
fof(f46376,plain,
( spl0_924
<=> ! [X70,X71] : theorem(implies(implies(X70,X71),not(implies(or(X71,not(X70)),not(or(X71,not(X70))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_924])]) ).
fof(f1863,plain,
( spl0_154
<=> ! [X61,X62,X63] :
( theorem(implies(implies(X61,X62),X63))
| ~ theorem(implies(or(X62,not(X61)),X63)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1928,plain,
( ! [X70,X71] : theorem(implies(implies(X70,X71),not(implies(or(X71,not(X70)),not(or(X71,not(X70)))))))
| ~ spl0_94
| ~ spl0_154 ),
inference(resolution,[],[f1864,f832]) ).
fof(f1864,plain,
( ! [X62,X63,X61] :
( ~ theorem(implies(or(X62,not(X61)),X63))
| theorem(implies(implies(X61,X62),X63)) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f46374,plain,
( spl0_923
| ~ spl0_38
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1901,f1859,f259,f46372]) ).
fof(f46372,plain,
( spl0_923
<=> ! [X54,X53] :
( ~ theorem(implies(implies(X53,X54),not(or(X54,not(X53)))))
| theorem(not(or(X54,not(X53)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_923])]) ).
fof(f1859,plain,
( spl0_153
<=> ! [X13,X14,X15] :
( theorem(implies(or(X13,not(X14)),X15))
| ~ theorem(implies(implies(X14,X13),X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1901,plain,
( ! [X54,X53] :
( ~ theorem(implies(implies(X53,X54),not(or(X54,not(X53)))))
| theorem(not(or(X54,not(X53)))) )
| ~ spl0_38
| ~ spl0_153 ),
inference(resolution,[],[f1860,f260]) ).
fof(f1860,plain,
( ! [X14,X15,X13] :
( theorem(implies(or(X13,not(X14)),X15))
| ~ theorem(implies(implies(X14,X13),X15)) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f46370,plain,
( spl0_922
| ~ spl0_128
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1855,f1508,f1414,f46368]) ).
fof(f46368,plain,
( spl0_922
<=> ! [X29,X27,X28,X30] :
( ~ theorem(implies(X27,X28))
| theorem(or(or(X29,implies(or(X27,or(X30,X30)),X28)),X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_922])]) ).
fof(f1508,plain,
( spl0_151
<=> ! [X4,X5,X3] :
( theorem(or(X3,implies(or(X4,X3),X5)))
| ~ theorem(implies(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1855,plain,
( ! [X28,X29,X27,X30] :
( ~ theorem(implies(X27,X28))
| theorem(or(or(X29,implies(or(X27,or(X30,X30)),X28)),X30)) )
| ~ spl0_128
| ~ spl0_151 ),
inference(resolution,[],[f1509,f1415]) ).
fof(f1509,plain,
( ! [X3,X4,X5] :
( theorem(or(X3,implies(or(X4,X3),X5)))
| ~ theorem(implies(X4,X5)) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f46366,plain,
( spl0_921
| ~ spl0_80
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1850,f1508,f655,f46364]) ).
fof(f46364,plain,
( spl0_921
<=> ! [X11,X13,X14,X12] :
( ~ theorem(implies(X11,implies(X12,X13)))
| theorem(or(X14,implies(X12,implies(or(X11,X14),X13)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_921])]) ).
fof(f1850,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(implies(X11,implies(X12,X13)))
| theorem(or(X14,implies(X12,implies(or(X11,X14),X13)))) )
| ~ spl0_80
| ~ spl0_151 ),
inference(resolution,[],[f1509,f656]) ).
fof(f46362,plain,
( spl0_920
| ~ spl0_81
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1849,f1508,f659,f46360]) ).
fof(f46360,plain,
( spl0_920
<=> ! [X10,X7,X9,X8] :
( ~ theorem(implies(X7,or(X8,X9)))
| theorem(or(X10,or(X8,implies(or(X7,X10),X9)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_920])]) ).
fof(f1849,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(implies(X7,or(X8,X9)))
| theorem(or(X10,or(X8,implies(or(X7,X10),X9)))) )
| ~ spl0_81
| ~ spl0_151 ),
inference(resolution,[],[f1509,f660]) ).
fof(f46358,plain,
( spl0_919
| ~ spl0_82
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1847,f1508,f663,f46356]) ).
fof(f46356,plain,
( spl0_919
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,implies(or(X0,X2),X3)))
| ~ theorem(implies(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_919])]) ).
fof(f1847,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,implies(or(X0,X2),X3)))
| ~ theorem(implies(X1,X3)) )
| ~ spl0_82
| ~ spl0_151 ),
inference(resolution,[],[f1509,f664]) ).
fof(f46350,plain,
( spl0_918
| ~ spl0_128
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1839,f1504,f1414,f46348]) ).
fof(f46348,plain,
( spl0_918
<=> ! [X22,X20,X21,X23] : theorem(or(or(X20,or(X21,implies(or(or(X21,X22),or(X23,X23)),X22))),X23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_918])]) ).
fof(f1504,plain,
( spl0_150
<=> ! [X11,X12,X10] : theorem(or(X10,or(X11,implies(or(or(X11,X12),X10),X12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1839,plain,
( ! [X21,X22,X23,X20] : theorem(or(or(X20,or(X21,implies(or(or(X21,X22),or(X23,X23)),X22))),X23))
| ~ spl0_128
| ~ spl0_150 ),
inference(resolution,[],[f1505,f1415]) ).
fof(f1505,plain,
( ! [X10,X11,X12] : theorem(or(X10,or(X11,implies(or(or(X11,X12),X10),X12))))
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f46346,plain,
( spl0_917
| ~ spl0_76
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1834,f1504,f639,f46344]) ).
fof(f46344,plain,
( spl0_917
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(implies(implies(or(or(X4,X6),X3),X6),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_917])]) ).
fof(f1834,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(implies(implies(or(or(X4,X6),X3),X6),X5)) )
| ~ spl0_76
| ~ spl0_150 ),
inference(resolution,[],[f1505,f640]) ).
fof(f46342,plain,
( spl0_916
| ~ spl0_128
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1824,f1500,f1414,f46340]) ).
fof(f46340,plain,
( spl0_916
<=> ! [X22,X20,X21,X23] : theorem(or(or(X20,or(X21,implies(or(X21,or(or(X22,X22),X23)),X23))),X22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_916])]) ).
fof(f1500,plain,
( spl0_149
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,implies(or(X1,or(X0,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1824,plain,
( ! [X21,X22,X23,X20] : theorem(or(or(X20,or(X21,implies(or(X21,or(or(X22,X22),X23)),X23))),X22))
| ~ spl0_128
| ~ spl0_149 ),
inference(resolution,[],[f1501,f1415]) ).
fof(f1501,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,implies(or(X1,or(X0,X2)),X2))))
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f46338,plain,
( spl0_915
| ~ spl0_76
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1819,f1500,f639,f46336]) ).
fof(f46336,plain,
( spl0_915
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(implies(implies(or(X4,or(X3,X6)),X6),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_915])]) ).
fof(f1819,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(implies(implies(or(X4,or(X3,X6)),X6),X5)) )
| ~ spl0_76
| ~ spl0_149 ),
inference(resolution,[],[f1501,f640]) ).
fof(f46334,plain,
( spl0_914
| ~ spl0_128
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1816,f1496,f1414,f46332]) ).
fof(f46332,plain,
( spl0_914
<=> ! [X20,X18,X17,X19] : theorem(or(or(X17,implies(X18,implies(or(implies(X18,X19),or(X20,X20)),X19))),X20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_914])]) ).
fof(f1496,plain,
( spl0_148
<=> ! [X11,X12,X10] : theorem(or(X10,implies(X11,implies(or(implies(X11,X12),X10),X12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1816,plain,
( ! [X18,X19,X17,X20] : theorem(or(or(X17,implies(X18,implies(or(implies(X18,X19),or(X20,X20)),X19))),X20))
| ~ spl0_128
| ~ spl0_148 ),
inference(resolution,[],[f1497,f1415]) ).
fof(f1497,plain,
( ! [X10,X11,X12] : theorem(or(X10,implies(X11,implies(or(implies(X11,X12),X10),X12))))
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1496]) ).
fof(f46330,plain,
( spl0_913
| ~ spl0_82
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1812,f1496,f663,f46328]) ).
fof(f46328,plain,
( spl0_913
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(implies(implies(or(implies(X4,X6),X3),X6),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_913])]) ).
fof(f1812,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(implies(implies(or(implies(X4,X6),X3),X6),X5)) )
| ~ spl0_82
| ~ spl0_148 ),
inference(resolution,[],[f1497,f664]) ).
fof(f46326,plain,
( spl0_912
| ~ spl0_128
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1806,f1492,f1414,f46324]) ).
fof(f46324,plain,
( spl0_912
<=> ! [X20,X18,X17,X19] : theorem(or(or(X17,implies(X18,implies(implies(X18,or(or(X19,X19),X20)),X20))),X19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_912])]) ).
fof(f1492,plain,
( spl0_147
<=> ! [X2,X0,X1] : theorem(or(X0,implies(X1,implies(implies(X1,or(X0,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1806,plain,
( ! [X18,X19,X17,X20] : theorem(or(or(X17,implies(X18,implies(implies(X18,or(or(X19,X19),X20)),X20))),X19))
| ~ spl0_128
| ~ spl0_147 ),
inference(resolution,[],[f1493,f1415]) ).
fof(f1493,plain,
( ! [X2,X0,X1] : theorem(or(X0,implies(X1,implies(implies(X1,or(X0,X2)),X2))))
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f46322,plain,
( spl0_911
| ~ spl0_82
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1802,f1492,f663,f46320]) ).
fof(f46320,plain,
( spl0_911
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(implies(implies(implies(X4,or(X3,X6)),X6),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_911])]) ).
fof(f1802,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(implies(implies(implies(X4,or(X3,X6)),X6),X5)) )
| ~ spl0_82
| ~ spl0_147 ),
inference(resolution,[],[f1493,f664]) ).
fof(f46318,plain,
( spl0_910
| ~ spl0_82
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1791,f1488,f663,f46316]) ).
fof(f46316,plain,
( spl0_910
<=> ! [X5,X7,X6,X8] :
( ~ theorem(implies(X5,not(X6)))
| theorem(or(X7,implies(X6,X8)))
| ~ theorem(implies(not(X5),X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_910])]) ).
fof(f1791,plain,
( ! [X8,X6,X7,X5] :
( ~ theorem(implies(X5,not(X6)))
| theorem(or(X7,implies(X6,X8)))
| ~ theorem(implies(not(X5),X8)) )
| ~ spl0_82
| ~ spl0_146 ),
inference(resolution,[],[f1489,f664]) ).
fof(f46314,plain,
( spl0_909
| ~ spl0_141
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1785,f1484,f1467,f46312]) ).
fof(f46312,plain,
( spl0_909
<=> ! [X29,X30] :
( ~ theorem(implies(not(X29),implies(X30,not(X30))))
| theorem(implies(implies(X29,not(X29)),not(X30))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_909])]) ).
fof(f1467,plain,
( spl0_141
<=> ! [X0,X1] :
( theorem(implies(X0,not(X1)))
| ~ theorem(implies(X0,implies(X1,not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1785,plain,
( ! [X29,X30] :
( ~ theorem(implies(not(X29),implies(X30,not(X30))))
| theorem(implies(implies(X29,not(X29)),not(X30))) )
| ~ spl0_141
| ~ spl0_145 ),
inference(resolution,[],[f1485,f1468]) ).
fof(f1468,plain,
( ! [X0,X1] :
( ~ theorem(implies(X0,implies(X1,not(X1))))
| theorem(implies(X0,not(X1))) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f46310,plain,
( ~ spl0_907
| ~ spl0_908
| ~ spl0_729
| spl0_886 ),
inference(avatar_split_clause,[],[f46257,f46212,f28119,f46307,f46303]) ).
fof(f46303,plain,
( spl0_907
<=> theorem(implies(or(p,r),not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_907])]) ).
fof(f28119,plain,
( spl0_729
<=> ! [X4,X2,X3] :
( theorem(implies(or(X2,X3),X4))
| ~ theorem(implies(X3,X2))
| ~ theorem(implies(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).
fof(f46212,plain,
( spl0_886
<=> theorem(implies(or(or(p,r),not(or(p,q))),not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_886])]) ).
fof(f46257,plain,
( ~ theorem(implies(not(or(p,q)),or(p,r)))
| ~ theorem(implies(or(p,r),not(q)))
| ~ spl0_729
| spl0_886 ),
inference(resolution,[],[f46214,f28120]) ).
fof(f28120,plain,
( ! [X2,X3,X4] :
( theorem(implies(or(X2,X3),X4))
| ~ theorem(implies(X3,X2))
| ~ theorem(implies(X2,X4)) )
| ~ spl0_729 ),
inference(avatar_component_clause,[],[f28119]) ).
fof(f46214,plain,
( ~ theorem(implies(or(or(p,r),not(or(p,q))),not(q)))
| spl0_886 ),
inference(avatar_component_clause,[],[f46212]) ).
fof(f46301,plain,
( spl0_906
| ~ spl0_63
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1784,f1484,f479,f46299]) ).
fof(f46299,plain,
( spl0_906
<=> ! [X27,X28,X26] :
( ~ theorem(implies(not(X26),implies(X27,X28)))
| theorem(implies(X27,implies(implies(X26,not(X26)),X28))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_906])]) ).
fof(f479,plain,
( spl0_63
<=> ! [X2,X0,X1] :
( theorem(implies(X1,implies(X0,X2)))
| ~ theorem(implies(X0,implies(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1784,plain,
( ! [X28,X26,X27] :
( ~ theorem(implies(not(X26),implies(X27,X28)))
| theorem(implies(X27,implies(implies(X26,not(X26)),X28))) )
| ~ spl0_63
| ~ spl0_145 ),
inference(resolution,[],[f1485,f480]) ).
fof(f480,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X1,X2)))
| theorem(implies(X1,implies(X0,X2))) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f46297,plain,
( spl0_905
| ~ spl0_45
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1781,f1484,f304,f46295]) ).
fof(f46295,plain,
( spl0_905
<=> ! [X20,X21,X19] :
( ~ theorem(implies(not(X19),or(X20,X21)))
| theorem(or(X20,implies(implies(X19,not(X19)),X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_905])]) ).
fof(f304,plain,
( spl0_45
<=> ! [X2,X0,X1] :
( theorem(or(X1,implies(X0,X2)))
| ~ theorem(implies(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1781,plain,
( ! [X21,X19,X20] :
( ~ theorem(implies(not(X19),or(X20,X21)))
| theorem(or(X20,implies(implies(X19,not(X19)),X21))) )
| ~ spl0_45
| ~ spl0_145 ),
inference(resolution,[],[f1485,f305]) ).
fof(f305,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f46293,plain,
( spl0_904
| ~ spl0_140
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1780,f1484,f1463,f46291]) ).
fof(f46291,plain,
( spl0_904
<=> ! [X18,X16,X17] :
( ~ theorem(implies(not(X16),or(X17,X18)))
| theorem(implies(implies(X16,not(X16)),or(X18,X17))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_904])]) ).
fof(f1780,plain,
( ! [X18,X16,X17] :
( ~ theorem(implies(not(X16),or(X17,X18)))
| theorem(implies(implies(X16,not(X16)),or(X18,X17))) )
| ~ spl0_140
| ~ spl0_145 ),
inference(resolution,[],[f1485,f1464]) ).
fof(f46289,plain,
( spl0_903
| ~ spl0_47
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1778,f1484,f312,f46287]) ).
fof(f46287,plain,
( spl0_903
<=> ! [X11,X12,X13] :
( ~ theorem(implies(not(X11),X12))
| theorem(or(X13,X12))
| ~ theorem(or(X13,implies(X11,not(X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_903])]) ).
fof(f312,plain,
( spl0_47
<=> ! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1778,plain,
( ! [X11,X12,X13] :
( ~ theorem(implies(not(X11),X12))
| theorem(or(X13,X12))
| ~ theorem(or(X13,implies(X11,not(X11)))) )
| ~ spl0_47
| ~ spl0_145 ),
inference(resolution,[],[f1485,f313]) ).
fof(f313,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f46285,plain,
( spl0_902
| ~ spl0_70
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1777,f1484,f507,f46283]) ).
fof(f46283,plain,
( spl0_902
<=> ! [X9,X8,X10] :
( ~ theorem(implies(not(X8),X9))
| theorem(implies(implies(X8,not(X8)),X10))
| ~ theorem(implies(X9,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_902])]) ).
fof(f507,plain,
( spl0_70
<=> ! [X6,X4,X5] :
( ~ theorem(implies(X4,X5))
| theorem(implies(X6,X5))
| ~ theorem(implies(X6,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f1777,plain,
( ! [X10,X8,X9] :
( ~ theorem(implies(not(X8),X9))
| theorem(implies(implies(X8,not(X8)),X10))
| ~ theorem(implies(X9,X10)) )
| ~ spl0_70
| ~ spl0_145 ),
inference(resolution,[],[f1485,f508]) ).
fof(f508,plain,
( ! [X6,X4,X5] :
( ~ theorem(implies(X6,X4))
| theorem(implies(X6,X5))
| ~ theorem(implies(X4,X5)) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f46281,plain,
( spl0_901
| ~ spl0_135
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1770,f1480,f1443,f46279]) ).
fof(f46279,plain,
( spl0_901
<=> ! [X92,X88,X91,X90,X89] :
( theorem(implies(X88,implies(implies(X89,implies(or(X90,X91),X92)),implies(X89,X92))))
| ~ theorem(X90) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_901])]) ).
fof(f1443,plain,
( spl0_135
<=> ! [X27,X28,X26] : theorem(implies(X26,implies(implies(X27,implies(X26,X28)),implies(X27,X28)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1480,plain,
( spl0_144
<=> ! [X29,X27,X28,X30] :
( theorem(implies(X27,X28))
| ~ theorem(implies(or(X29,X30),X28))
| ~ theorem(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1770,plain,
( ! [X90,X91,X88,X89,X92] :
( theorem(implies(X88,implies(implies(X89,implies(or(X90,X91),X92)),implies(X89,X92))))
| ~ theorem(X90) )
| ~ spl0_135
| ~ spl0_144 ),
inference(resolution,[],[f1481,f1444]) ).
fof(f1444,plain,
( ! [X28,X26,X27] : theorem(implies(X26,implies(implies(X27,implies(X26,X28)),implies(X27,X28))))
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1443]) ).
fof(f1481,plain,
( ! [X28,X29,X27,X30] :
( ~ theorem(implies(or(X29,X30),X28))
| theorem(implies(X27,X28))
| ~ theorem(X29) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f46277,plain,
( spl0_900
| ~ spl0_134
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1769,f1480,f1439,f46275]) ).
fof(f46275,plain,
( spl0_900
<=> ! [X85,X83,X84,X87,X86] :
( theorem(implies(X83,implies(implies(or(X84,X85),X86),X87)))
| ~ theorem(X84)
| ~ theorem(implies(X86,X87)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_900])]) ).
fof(f1769,plain,
( ! [X83,X86,X87,X84,X85] :
( theorem(implies(X83,implies(implies(or(X84,X85),X86),X87)))
| ~ theorem(X84)
| ~ theorem(implies(X86,X87)) )
| ~ spl0_134
| ~ spl0_144 ),
inference(resolution,[],[f1481,f1440]) ).
fof(f46273,plain,
( spl0_899
| ~ spl0_129
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1766,f1480,f1418,f46271]) ).
fof(f46271,plain,
( spl0_899
<=> ! [X70,X74,X71,X73,X72] :
( theorem(implies(X70,implies(or(X71,implies(or(X72,X73),X74)),or(X71,X74))))
| ~ theorem(X72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_899])]) ).
fof(f1418,plain,
( spl0_129
<=> ! [X4,X2,X3] : theorem(implies(X2,implies(or(X3,implies(X2,X4)),or(X3,X4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1766,plain,
( ! [X72,X70,X73,X71,X74] :
( theorem(implies(X70,implies(or(X71,implies(or(X72,X73),X74)),or(X71,X74))))
| ~ theorem(X72) )
| ~ spl0_129
| ~ spl0_144 ),
inference(resolution,[],[f1481,f1419]) ).
fof(f1419,plain,
( ! [X2,X3,X4] : theorem(implies(X2,implies(or(X3,implies(X2,X4)),or(X3,X4))))
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f46269,plain,
( spl0_898
| ~ spl0_135
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1742,f1471,f1443,f46267]) ).
fof(f46267,plain,
( spl0_898
<=> ! [X69,X71,X70,X72] : theorem(implies(or(X69,X70),implies(implies(X71,implies(or(X70,X69),X72)),implies(X71,X72)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_898])]) ).
fof(f1742,plain,
( ! [X72,X70,X71,X69] : theorem(implies(or(X69,X70),implies(implies(X71,implies(or(X70,X69),X72)),implies(X71,X72))))
| ~ spl0_135
| ~ spl0_142 ),
inference(resolution,[],[f1472,f1444]) ).
fof(f46265,plain,
( spl0_897
| ~ spl0_134
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1741,f1471,f1439,f46263]) ).
fof(f46263,plain,
( spl0_897
<=> ! [X65,X68,X67,X66] :
( theorem(implies(or(X65,X66),implies(implies(or(X66,X65),X67),X68)))
| ~ theorem(implies(X67,X68)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_897])]) ).
fof(f1741,plain,
( ! [X65,X68,X66,X67] :
( theorem(implies(or(X65,X66),implies(implies(or(X66,X65),X67),X68)))
| ~ theorem(implies(X67,X68)) )
| ~ spl0_134
| ~ spl0_142 ),
inference(resolution,[],[f1472,f1440]) ).
fof(f46255,plain,
( spl0_896
| ~ spl0_129
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1738,f1471,f1418,f46253]) ).
fof(f46253,plain,
( spl0_896
<=> ! [X55,X57,X56,X58] : theorem(implies(or(X55,X56),implies(or(X57,implies(or(X56,X55),X58)),or(X57,X58)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_896])]) ).
fof(f1738,plain,
( ! [X58,X56,X57,X55] : theorem(implies(or(X55,X56),implies(or(X57,implies(or(X56,X55),X58)),or(X57,X58))))
| ~ spl0_129
| ~ spl0_142 ),
inference(resolution,[],[f1472,f1419]) ).
fof(f46251,plain,
( spl0_895
| ~ spl0_69
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1682,f1459,f503,f46249]) ).
fof(f46249,plain,
( spl0_895
<=> ! [X60,X59,X58] : theorem(or(implies(implies(X58,or(implies(X59,not(X59)),X60)),implies(X58,X60)),not(X59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_895])]) ).
fof(f503,plain,
( spl0_69
<=> ! [X45,X44] :
( theorem(or(X44,not(X45)))
| ~ theorem(or(X44,implies(X45,not(X45)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1682,plain,
( ! [X58,X59,X60] : theorem(or(implies(implies(X58,or(implies(X59,not(X59)),X60)),implies(X58,X60)),not(X59)))
| ~ spl0_69
| ~ spl0_139 ),
inference(resolution,[],[f1460,f504]) ).
fof(f504,plain,
( ! [X44,X45] :
( ~ theorem(or(X44,implies(X45,not(X45))))
| theorem(or(X44,not(X45))) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f46247,plain,
( spl0_894
| ~ spl0_44
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1679,f1459,f300,f46245]) ).
fof(f46245,plain,
( spl0_894
<=> ! [X44,X47,X46,X45] : theorem(implies(X44,or(implies(implies(X45,or(implies(X44,X46),X47)),implies(X45,X47)),X46))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_894])]) ).
fof(f1679,plain,
( ! [X46,X47,X44,X45] : theorem(implies(X44,or(implies(implies(X45,or(implies(X44,X46),X47)),implies(X45,X47)),X46)))
| ~ spl0_44
| ~ spl0_139 ),
inference(resolution,[],[f1460,f301]) ).
fof(f46243,plain,
( spl0_893
| ~ spl0_31
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1674,f1459,f203,f46241]) ).
fof(f46241,plain,
( spl0_893
<=> ! [X24,X21,X23,X22] : theorem(or(X21,or(implies(implies(X22,or(or(X21,X23),X24)),implies(X22,X24)),X23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_893])]) ).
fof(f1674,plain,
( ! [X21,X24,X22,X23] : theorem(or(X21,or(implies(implies(X22,or(or(X21,X23),X24)),implies(X22,X24)),X23)))
| ~ spl0_31
| ~ spl0_139 ),
inference(resolution,[],[f1460,f204]) ).
fof(f46239,plain,
( spl0_892
| ~ spl0_68
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1673,f1459,f499,f46237]) ).
fof(f46237,plain,
( spl0_892
<=> ! [X18,X20,X17,X19] : theorem(or(implies(implies(X17,or(or(X18,X19),X20)),implies(X17,X20)),or(X19,X18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_892])]) ).
fof(f1673,plain,
( ! [X18,X19,X17,X20] : theorem(or(implies(implies(X17,or(or(X18,X19),X20)),implies(X17,X20)),or(X19,X18)))
| ~ spl0_68
| ~ spl0_139 ),
inference(resolution,[],[f1460,f500]) ).
fof(f46235,plain,
( spl0_891
| ~ spl0_61
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1652,f1455,f430,f46233]) ).
fof(f46233,plain,
( spl0_891
<=> ! [X6,X7] : theorem(or(implies(or(or(or(X6,X6),X7),or(or(X6,X6),X7)),X7),X6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_891])]) ).
fof(f430,plain,
( spl0_61
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1455,plain,
( spl0_138
<=> ! [X2,X3] : theorem(or(implies(or(or(X2,X3),or(X2,X3)),X3),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1652,plain,
( ! [X6,X7] : theorem(or(implies(or(or(or(X6,X6),X7),or(or(X6,X6),X7)),X7),X6))
| ~ spl0_61
| ~ spl0_138 ),
inference(resolution,[],[f1456,f431]) ).
fof(f431,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f1456,plain,
( ! [X2,X3] : theorem(or(implies(or(or(X2,X3),or(X2,X3)),X3),X2))
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f46231,plain,
( spl0_890
| ~ spl0_69
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1644,f1451,f503,f46229]) ).
fof(f46229,plain,
( spl0_890
<=> ! [X60,X59,X58] :
( ~ theorem(implies(X58,X59))
| theorem(or(implies(or(implies(X60,not(X60)),X58),X59),not(X60))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_890])]) ).
fof(f1644,plain,
( ! [X58,X59,X60] :
( ~ theorem(implies(X58,X59))
| theorem(or(implies(or(implies(X60,not(X60)),X58),X59),not(X60))) )
| ~ spl0_69
| ~ spl0_137 ),
inference(resolution,[],[f1452,f504]) ).
fof(f46227,plain,
( spl0_889
| ~ spl0_44
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1641,f1451,f300,f46225]) ).
fof(f46225,plain,
( spl0_889
<=> ! [X44,X47,X46,X45] :
( ~ theorem(implies(X44,X45))
| theorem(implies(X46,or(implies(or(implies(X46,X47),X44),X45),X47))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_889])]) ).
fof(f1641,plain,
( ! [X46,X47,X44,X45] :
( ~ theorem(implies(X44,X45))
| theorem(implies(X46,or(implies(or(implies(X46,X47),X44),X45),X47))) )
| ~ spl0_44
| ~ spl0_137 ),
inference(resolution,[],[f1452,f301]) ).
fof(f46223,plain,
( spl0_888
| ~ spl0_31
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1636,f1451,f203,f46221]) ).
fof(f46221,plain,
( spl0_888
<=> ! [X24,X21,X23,X22] :
( ~ theorem(implies(X21,X22))
| theorem(or(X23,or(implies(or(or(X23,X24),X21),X22),X24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_888])]) ).
fof(f1636,plain,
( ! [X21,X24,X22,X23] :
( ~ theorem(implies(X21,X22))
| theorem(or(X23,or(implies(or(or(X23,X24),X21),X22),X24))) )
| ~ spl0_31
| ~ spl0_137 ),
inference(resolution,[],[f1452,f204]) ).
fof(f46219,plain,
( spl0_887
| ~ spl0_68
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1635,f1451,f499,f46217]) ).
fof(f46217,plain,
( spl0_887
<=> ! [X18,X20,X17,X19] :
( ~ theorem(implies(X17,X18))
| theorem(or(implies(or(or(X19,X20),X17),X18),or(X20,X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_887])]) ).
fof(f1635,plain,
( ! [X18,X19,X17,X20] :
( ~ theorem(implies(X17,X18))
| theorem(or(implies(or(or(X19,X20),X17),X18),or(X20,X19))) )
| ~ spl0_68
| ~ spl0_137 ),
inference(resolution,[],[f1452,f500]) ).
fof(f46215,plain,
( ~ spl0_886
| ~ spl0_354
| spl0_853 ),
inference(avatar_split_clause,[],[f46162,f45317,f16743,f46212]) ).
fof(f16743,plain,
( spl0_354
<=> ! [X2,X0,X1] :
( ~ theorem(implies(X0,not(X1)))
| theorem(implies(X0,implies(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f45317,plain,
( spl0_853
<=> theorem(implies(or(or(p,r),not(or(p,q))),implies(q,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_853])]) ).
fof(f46162,plain,
( ~ theorem(implies(or(or(p,r),not(or(p,q))),not(q)))
| ~ spl0_354
| spl0_853 ),
inference(resolution,[],[f45319,f16744]) ).
fof(f16744,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(implies(X0,not(X1))) )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f16743]) ).
fof(f45319,plain,
( ~ theorem(implies(or(or(p,r),not(or(p,q))),implies(q,r)))
| spl0_853 ),
inference(avatar_component_clause,[],[f45317]) ).
fof(f46210,plain,
( spl0_885
| ~ spl0_69
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1621,f1447,f503,f46208]) ).
fof(f46208,plain,
( spl0_885
<=> ! [X60,X59,X58] : theorem(or(implies(or(X58,or(implies(X59,not(X59)),X60)),or(X58,X60)),not(X59))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_885])]) ).
fof(f1621,plain,
( ! [X58,X59,X60] : theorem(or(implies(or(X58,or(implies(X59,not(X59)),X60)),or(X58,X60)),not(X59)))
| ~ spl0_69
| ~ spl0_136 ),
inference(resolution,[],[f1448,f504]) ).
fof(f46206,plain,
( spl0_884
| ~ spl0_44
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1618,f1447,f300,f46204]) ).
fof(f46204,plain,
( spl0_884
<=> ! [X44,X47,X46,X45] : theorem(implies(X44,or(implies(or(X45,or(implies(X44,X46),X47)),or(X45,X47)),X46))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_884])]) ).
fof(f1618,plain,
( ! [X46,X47,X44,X45] : theorem(implies(X44,or(implies(or(X45,or(implies(X44,X46),X47)),or(X45,X47)),X46)))
| ~ spl0_44
| ~ spl0_136 ),
inference(resolution,[],[f1448,f301]) ).
fof(f46202,plain,
( spl0_883
| ~ spl0_31
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1613,f1447,f203,f46200]) ).
fof(f46200,plain,
( spl0_883
<=> ! [X24,X21,X23,X22] : theorem(or(X21,or(implies(or(X22,or(or(X21,X23),X24)),or(X22,X24)),X23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_883])]) ).
fof(f1613,plain,
( ! [X21,X24,X22,X23] : theorem(or(X21,or(implies(or(X22,or(or(X21,X23),X24)),or(X22,X24)),X23)))
| ~ spl0_31
| ~ spl0_136 ),
inference(resolution,[],[f1448,f204]) ).
fof(f46198,plain,
( spl0_882
| ~ spl0_68
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1612,f1447,f499,f46196]) ).
fof(f46196,plain,
( spl0_882
<=> ! [X18,X20,X17,X19] : theorem(or(implies(or(X17,or(or(X18,X19),X20)),or(X17,X20)),or(X19,X18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_882])]) ).
fof(f1612,plain,
( ! [X18,X19,X17,X20] : theorem(or(implies(or(X17,or(or(X18,X19),X20)),or(X17,X20)),or(X19,X18)))
| ~ spl0_68
| ~ spl0_136 ),
inference(resolution,[],[f1448,f500]) ).
fof(f46194,plain,
( spl0_881
| ~ spl0_47
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1603,f1443,f312,f46192]) ).
fof(f46192,plain,
( spl0_881
<=> ! [X18,X17,X16,X15] :
( theorem(or(X15,implies(implies(X16,implies(X17,X18)),implies(X16,X18))))
| ~ theorem(or(X15,X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_881])]) ).
fof(f1603,plain,
( ! [X18,X16,X17,X15] :
( theorem(or(X15,implies(implies(X16,implies(X17,X18)),implies(X16,X18))))
| ~ theorem(or(X15,X17)) )
| ~ spl0_47
| ~ spl0_135 ),
inference(resolution,[],[f1444,f313]) ).
fof(f46190,plain,
( spl0_880
| ~ spl0_70
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1602,f1443,f507,f46188]) ).
fof(f46188,plain,
( spl0_880
<=> ! [X11,X14,X13,X12] :
( theorem(implies(X11,X12))
| ~ theorem(implies(implies(implies(X13,implies(X11,X14)),implies(X13,X14)),X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_880])]) ).
fof(f1602,plain,
( ! [X11,X14,X12,X13] :
( theorem(implies(X11,X12))
| ~ theorem(implies(implies(implies(X13,implies(X11,X14)),implies(X13,X14)),X12)) )
| ~ spl0_70
| ~ spl0_135 ),
inference(resolution,[],[f1444,f508]) ).
fof(f46186,plain,
( spl0_879
| ~ spl0_47
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1595,f1439,f312,f46184]) ).
fof(f46184,plain,
( spl0_879
<=> ! [X18,X17,X16,X15] :
( ~ theorem(implies(X15,X16))
| theorem(or(X17,implies(implies(X18,X15),X16)))
| ~ theorem(or(X17,X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_879])]) ).
fof(f1595,plain,
( ! [X18,X16,X17,X15] :
( ~ theorem(implies(X15,X16))
| theorem(or(X17,implies(implies(X18,X15),X16)))
| ~ theorem(or(X17,X18)) )
| ~ spl0_47
| ~ spl0_134 ),
inference(resolution,[],[f1440,f313]) ).
fof(f46182,plain,
( spl0_878
| ~ spl0_70
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1594,f1439,f507,f46180]) ).
fof(f46180,plain,
( spl0_878
<=> ! [X11,X14,X13,X12] :
( ~ theorem(implies(X11,X12))
| theorem(implies(X13,X14))
| ~ theorem(implies(implies(implies(X13,X11),X12),X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_878])]) ).
fof(f1594,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(implies(X11,X12))
| theorem(implies(X13,X14))
| ~ theorem(implies(implies(implies(X13,X11),X12),X14)) )
| ~ spl0_70
| ~ spl0_134 ),
inference(resolution,[],[f1440,f508]) ).
fof(f46178,plain,
( spl0_877
| ~ spl0_47
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1589,f1435,f312,f46176]) ).
fof(f46176,plain,
( spl0_877
<=> ! [X18,X19,X20,X21] :
( theorem(or(X18,implies(implies(X19,X20),implies(X21,X20))))
| ~ theorem(or(X18,implies(X21,X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_877])]) ).
fof(f1589,plain,
( ! [X21,X18,X19,X20] :
( theorem(or(X18,implies(implies(X19,X20),implies(X21,X20))))
| ~ theorem(or(X18,implies(X21,X19))) )
| ~ spl0_47
| ~ spl0_133 ),
inference(resolution,[],[f1436,f313]) ).
fof(f46174,plain,
( spl0_876
| ~ spl0_70
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1588,f1435,f507,f46172]) ).
fof(f46172,plain,
( spl0_876
<=> ! [X17,X14,X16,X15] :
( theorem(implies(implies(X14,X15),X16))
| ~ theorem(implies(implies(implies(X15,X17),implies(X14,X17)),X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_876])]) ).
fof(f1588,plain,
( ! [X16,X14,X17,X15] :
( theorem(implies(implies(X14,X15),X16))
| ~ theorem(implies(implies(implies(X15,X17),implies(X14,X17)),X16)) )
| ~ spl0_70
| ~ spl0_133 ),
inference(resolution,[],[f1436,f508]) ).
fof(f46157,plain,
( spl0_875
| ~ spl0_47
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1578,f1426,f312,f46155]) ).
fof(f46155,plain,
( spl0_875
<=> ! [X18,X19,X20,X21] :
( theorem(or(X18,implies(implies(X19,X20),or(X21,X20))))
| ~ theorem(or(X18,or(X21,X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_875])]) ).
fof(f1578,plain,
( ! [X21,X18,X19,X20] :
( theorem(or(X18,implies(implies(X19,X20),or(X21,X20))))
| ~ theorem(or(X18,or(X21,X19))) )
| ~ spl0_47
| ~ spl0_131 ),
inference(resolution,[],[f1427,f313]) ).
fof(f46153,plain,
( spl0_874
| ~ spl0_70
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1577,f1426,f507,f46151]) ).
fof(f46151,plain,
( spl0_874
<=> ! [X17,X14,X16,X15] :
( theorem(implies(or(X14,X15),X16))
| ~ theorem(implies(implies(implies(X15,X17),or(X14,X17)),X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_874])]) ).
fof(f1577,plain,
( ! [X16,X14,X17,X15] :
( theorem(implies(or(X14,X15),X16))
| ~ theorem(implies(implies(implies(X15,X17),or(X14,X17)),X16)) )
| ~ spl0_70
| ~ spl0_131 ),
inference(resolution,[],[f1427,f508]) ).
fof(f46149,plain,
( spl0_873
| ~ spl0_116
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1572,f1422,f1050,f46147]) ).
fof(f46147,plain,
( spl0_873
<=> ! [X20,X21,X19] : theorem(implies(X19,implies(or(implies(implies(X20,X19),X21),implies(implies(X20,X19),X21)),X21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_873])]) ).
fof(f1422,plain,
( spl0_130
<=> ! [X6,X5] : theorem(implies(X5,implies(or(implies(X5,X6),implies(X5,X6)),X6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1572,plain,
( ! [X21,X19,X20] : theorem(implies(X19,implies(or(implies(implies(X20,X19),X21),implies(implies(X20,X19),X21)),X21)))
| ~ spl0_116
| ~ spl0_130 ),
inference(resolution,[],[f1423,f1051]) ).
fof(f1423,plain,
( ! [X6,X5] : theorem(implies(X5,implies(or(implies(X5,X6),implies(X5,X6)),X6)))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f46145,plain,
( spl0_872
| ~ spl0_115
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1571,f1422,f1046,f46143]) ).
fof(f46143,plain,
( spl0_872
<=> ! [X18,X16,X17] : theorem(implies(X16,implies(or(implies(or(X17,X16),X18),implies(or(X17,X16),X18)),X18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_872])]) ).
fof(f1571,plain,
( ! [X18,X16,X17] : theorem(implies(X16,implies(or(implies(or(X17,X16),X18),implies(or(X17,X16),X18)),X18)))
| ~ spl0_115
| ~ spl0_130 ),
inference(resolution,[],[f1423,f1047]) ).
fof(f46141,plain,
( spl0_871
| ~ spl0_47
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1569,f1422,f312,f46139]) ).
fof(f46139,plain,
( spl0_871
<=> ! [X13,X12,X11] :
( theorem(or(X11,implies(or(implies(X12,X13),implies(X12,X13)),X13)))
| ~ theorem(or(X11,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_871])]) ).
fof(f1569,plain,
( ! [X11,X12,X13] :
( theorem(or(X11,implies(or(implies(X12,X13),implies(X12,X13)),X13)))
| ~ theorem(or(X11,X12)) )
| ~ spl0_47
| ~ spl0_130 ),
inference(resolution,[],[f1423,f313]) ).
fof(f46137,plain,
( spl0_870
| ~ spl0_70
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1568,f1422,f507,f46135]) ).
fof(f46135,plain,
( spl0_870
<=> ! [X9,X8,X10] :
( theorem(implies(X8,X9))
| ~ theorem(implies(implies(or(implies(X8,X10),implies(X8,X10)),X10),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_870])]) ).
fof(f1568,plain,
( ! [X10,X8,X9] :
( theorem(implies(X8,X9))
| ~ theorem(implies(implies(or(implies(X8,X10),implies(X8,X10)),X10),X9)) )
| ~ spl0_70
| ~ spl0_130 ),
inference(resolution,[],[f1423,f508]) ).
fof(f46133,plain,
( spl0_869
| ~ spl0_47
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1557,f1418,f312,f46131]) ).
fof(f46131,plain,
( spl0_869
<=> ! [X18,X17,X16,X15] :
( theorem(or(X15,implies(or(X16,implies(X17,X18)),or(X16,X18))))
| ~ theorem(or(X15,X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_869])]) ).
fof(f1557,plain,
( ! [X18,X16,X17,X15] :
( theorem(or(X15,implies(or(X16,implies(X17,X18)),or(X16,X18))))
| ~ theorem(or(X15,X17)) )
| ~ spl0_47
| ~ spl0_129 ),
inference(resolution,[],[f1419,f313]) ).
fof(f46129,plain,
( spl0_868
| ~ spl0_70
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1556,f1418,f507,f46127]) ).
fof(f46127,plain,
( spl0_868
<=> ! [X11,X14,X13,X12] :
( theorem(implies(X11,X12))
| ~ theorem(implies(implies(or(X13,implies(X11,X14)),or(X13,X14)),X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_868])]) ).
fof(f1556,plain,
( ! [X11,X14,X12,X13] :
( theorem(implies(X11,X12))
| ~ theorem(implies(implies(or(X13,implies(X11,X14)),or(X13,X14)),X12)) )
| ~ spl0_70
| ~ spl0_129 ),
inference(resolution,[],[f1419,f508]) ).
fof(f46125,plain,
( spl0_867
| ~ spl0_67
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1542,f1414,f495,f46123]) ).
fof(f46123,plain,
( spl0_867
<=> ! [X93,X92,X94,X95] : theorem(or(or(X92,implies(implies(X93,or(or(X94,X94),X95)),implies(X93,X95))),X94)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_867])]) ).
fof(f495,plain,
( spl0_67
<=> ! [X18,X17,X19] : theorem(or(X17,implies(implies(X18,or(X17,X19)),implies(X18,X19)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1542,plain,
( ! [X94,X95,X92,X93] : theorem(or(or(X92,implies(implies(X93,or(or(X94,X94),X95)),implies(X93,X95))),X94))
| ~ spl0_67
| ~ spl0_128 ),
inference(resolution,[],[f1415,f496]) ).
fof(f496,plain,
( ! [X18,X19,X17] : theorem(or(X17,implies(implies(X18,or(X17,X19)),implies(X18,X19))))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f46121,plain,
( spl0_866
| ~ spl0_64
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1539,f1414,f483,f46119]) ).
fof(f46119,plain,
( spl0_866
<=> ! [X80,X81,X78,X79] : theorem(or(or(X78,implies(or(X79,or(or(X80,X80),X81)),or(X79,X81))),X80)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_866])]) ).
fof(f483,plain,
( spl0_64
<=> ! [X4,X2,X3] : theorem(or(X2,implies(or(X3,or(X2,X4)),or(X3,X4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1539,plain,
( ! [X80,X78,X81,X79] : theorem(or(or(X78,implies(or(X79,or(or(X80,X80),X81)),or(X79,X81))),X80))
| ~ spl0_64
| ~ spl0_128 ),
inference(resolution,[],[f1415,f484]) ).
fof(f484,plain,
( ! [X2,X3,X4] : theorem(or(X2,implies(or(X3,or(X2,X4)),or(X3,X4))))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f46117,plain,
( spl0_865
| ~ spl0_65
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1538,f1414,f487,f46115]) ).
fof(f46115,plain,
( spl0_865
<=> ! [X75,X74,X77,X76] :
( theorem(or(or(X74,implies(or(or(X75,X75),X76),X77)),X75))
| ~ theorem(implies(X76,X77)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_865])]) ).
fof(f487,plain,
( spl0_65
<=> ! [X6,X5,X7] :
( theorem(or(X5,implies(or(X5,X6),X7)))
| ~ theorem(implies(X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f1538,plain,
( ! [X76,X77,X74,X75] :
( theorem(or(or(X74,implies(or(or(X75,X75),X76),X77)),X75))
| ~ theorem(implies(X76,X77)) )
| ~ spl0_65
| ~ spl0_128 ),
inference(resolution,[],[f1415,f488]) ).
fof(f488,plain,
( ! [X6,X7,X5] :
( theorem(or(X5,implies(or(X5,X6),X7)))
| ~ theorem(implies(X6,X7)) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f46113,plain,
( spl0_864
| ~ spl0_114
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1512,f1410,f1042,f46111]) ).
fof(f1410,plain,
( spl0_127
<=> ! [X13,X12] :
( theorem(or(X12,not(X13)))
| ~ theorem(implies(X13,or(X12,not(X13)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1512,plain,
( ! [X2,X3] :
( theorem(or(X2,not(or(X3,X3))))
| ~ theorem(implies(X3,or(X2,not(or(X3,X3))))) )
| ~ spl0_114
| ~ spl0_127 ),
inference(resolution,[],[f1411,f1043]) ).
fof(f1411,plain,
( ! [X12,X13] :
( ~ theorem(implies(X13,or(X12,not(X13))))
| theorem(or(X12,not(X13))) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f46109,plain,
( spl0_863
| ~ spl0_73
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1353,f1331,f594,f46107]) ).
fof(f46107,plain,
( spl0_863
<=> ! [X38,X36,X35,X37] :
( theorem(or(X35,X36))
| ~ theorem(not(or(X37,not(X38))))
| ~ theorem(or(X35,implies(X38,X37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_863])]) ).
fof(f1353,plain,
( ! [X38,X36,X37,X35] :
( theorem(or(X35,X36))
| ~ theorem(not(or(X37,not(X38))))
| ~ theorem(or(X35,implies(X38,X37))) )
| ~ spl0_73
| ~ spl0_124 ),
inference(resolution,[],[f1332,f595]) ).
fof(f46105,plain,
( spl0_862
| ~ spl0_74
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1114,f1010,f619,f46103]) ).
fof(f46103,plain,
( spl0_862
<=> ! [X64,X65,X62,X63] :
( ~ theorem(or(implies(X62,not(X63)),X64))
| theorem(or(implies(X65,X64),implies(X63,not(X62)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_862])]) ).
fof(f619,plain,
( spl0_74
<=> ! [X38,X37,X39] :
( theorem(or(X37,implies(X38,not(X39))))
| ~ theorem(or(X37,implies(X39,not(X38)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1114,plain,
( ! [X65,X62,X63,X64] :
( ~ theorem(or(implies(X62,not(X63)),X64))
| theorem(or(implies(X65,X64),implies(X63,not(X62)))) )
| ~ spl0_74
| ~ spl0_107 ),
inference(resolution,[],[f1011,f620]) ).
fof(f620,plain,
( ! [X38,X39,X37] :
( ~ theorem(or(X37,implies(X39,not(X38))))
| theorem(or(X37,implies(X38,not(X39)))) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f46101,plain,
( spl0_861
| ~ spl0_73
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f892,f835,f594,f46099]) ).
fof(f46099,plain,
( spl0_861
<=> ! [X11,X12,X10] :
( theorem(or(X10,or(X11,not(X12))))
| ~ theorem(or(or(X11,not(X12)),implies(X12,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_861])]) ).
fof(f892,plain,
( ! [X10,X11,X12] :
( theorem(or(X10,or(X11,not(X12))))
| ~ theorem(or(or(X11,not(X12)),implies(X12,X11))) )
| ~ spl0_73
| ~ spl0_95 ),
inference(resolution,[],[f836,f595]) ).
fof(f46097,plain,
( spl0_860
| ~ spl0_80
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f879,f827,f655,f46095]) ).
fof(f46095,plain,
( spl0_860
<=> ! [X38,X36,X39,X37] : theorem(or(implies(or(X36,implies(X37,implies(X38,X39))),X36),implies(X38,implies(X37,X39)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_860])]) ).
fof(f827,plain,
( spl0_93
<=> ! [X2,X3] : theorem(or(implies(or(X2,X3),X2),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f879,plain,
( ! [X38,X39,X36,X37] : theorem(or(implies(or(X36,implies(X37,implies(X38,X39))),X36),implies(X38,implies(X37,X39))))
| ~ spl0_80
| ~ spl0_93 ),
inference(resolution,[],[f828,f656]) ).
fof(f828,plain,
( ! [X2,X3] : theorem(or(implies(or(X2,X3),X2),X3))
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f46093,plain,
( spl0_859
| ~ spl0_81
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f878,f827,f659,f46091]) ).
fof(f46091,plain,
( spl0_859
<=> ! [X35,X34,X33,X32] : theorem(or(implies(or(X32,implies(X33,or(X34,X35))),X32),or(X34,implies(X33,X35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_859])]) ).
fof(f878,plain,
( ! [X34,X35,X32,X33] : theorem(or(implies(or(X32,implies(X33,or(X34,X35))),X32),or(X34,implies(X33,X35))))
| ~ spl0_81
| ~ spl0_93 ),
inference(resolution,[],[f828,f660]) ).
fof(f46089,plain,
( spl0_858
| ~ spl0_82
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f876,f827,f663,f46087]) ).
fof(f46087,plain,
( spl0_858
<=> ! [X28,X27,X25,X26] :
( theorem(or(implies(or(X25,implies(X26,X27)),X25),implies(X26,X28)))
| ~ theorem(implies(X27,X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_858])]) ).
fof(f876,plain,
( ! [X28,X26,X27,X25] :
( theorem(or(implies(or(X25,implies(X26,X27)),X25),implies(X26,X28)))
| ~ theorem(implies(X27,X28)) )
| ~ spl0_82
| ~ spl0_93 ),
inference(resolution,[],[f828,f664]) ).
fof(f46085,plain,
( spl0_857
| ~ spl0_77
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f874,f827,f643,f46083]) ).
fof(f46083,plain,
( spl0_857
<=> ! [X18,X19,X20,X21] : theorem(or(implies(or(X18,or(X19,implies(X20,X21))),X18),implies(X20,or(X19,X21)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_857])]) ).
fof(f874,plain,
( ! [X21,X18,X19,X20] : theorem(or(implies(or(X18,or(X19,implies(X20,X21))),X18),implies(X20,or(X19,X21))))
| ~ spl0_77
| ~ spl0_93 ),
inference(resolution,[],[f828,f644]) ).
fof(f46081,plain,
( spl0_856
| ~ spl0_75
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f873,f827,f635,f46079]) ).
fof(f46079,plain,
( spl0_856
<=> ! [X17,X14,X16,X15] : theorem(or(implies(or(X14,or(X15,or(X16,X17))),X14),or(X16,or(X15,X17)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_856])]) ).
fof(f873,plain,
( ! [X16,X14,X17,X15] : theorem(or(implies(or(X14,or(X15,or(X16,X17))),X14),or(X16,or(X15,X17))))
| ~ spl0_75
| ~ spl0_93 ),
inference(resolution,[],[f828,f636]) ).
fof(f46077,plain,
( ~ spl0_855
| spl0_1
| ~ spl0_841 ),
inference(avatar_split_clause,[],[f45321,f41067,f11,f46074]) ).
fof(f46074,plain,
( spl0_855
<=> theorem(not(or(p,implies(or(p,q),r)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_855])]) ).
fof(f41067,plain,
( spl0_841
<=> ! [X24,X23,X25,X22] :
( theorem(implies(implies(X22,or(X23,X24)),X25))
| ~ theorem(not(or(X23,implies(X22,X24)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).
fof(f45321,plain,
( ~ theorem(not(or(p,implies(or(p,q),r))))
| spl0_1
| ~ spl0_841 ),
inference(resolution,[],[f41068,f13]) ).
fof(f41068,plain,
( ! [X24,X22,X25,X23] :
( theorem(implies(implies(X22,or(X23,X24)),X25))
| ~ theorem(not(or(X23,implies(X22,X24)))) )
| ~ spl0_841 ),
inference(avatar_component_clause,[],[f41067]) ).
fof(f46072,plain,
( spl0_854
| ~ spl0_76
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f870,f827,f639,f46070]) ).
fof(f46070,plain,
( spl0_854
<=> ! [X5,X4,X7,X6] :
( theorem(or(implies(or(X4,or(X5,X6)),X4),or(X5,X7)))
| ~ theorem(implies(X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_854])]) ).
fof(f870,plain,
( ! [X6,X7,X4,X5] :
( theorem(or(implies(or(X4,or(X5,X6)),X4),or(X5,X7)))
| ~ theorem(implies(X6,X7)) )
| ~ spl0_76
| ~ spl0_93 ),
inference(resolution,[],[f828,f640]) ).
fof(f45320,plain,
( ~ spl0_853
| spl0_1
| ~ spl0_792 ),
inference(avatar_split_clause,[],[f42382,f40867,f11,f45317]) ).
fof(f40867,plain,
( spl0_792
<=> ! [X29,X27,X28,X30] :
( theorem(implies(implies(X27,X28),or(X29,X30)))
| ~ theorem(implies(or(X28,not(X27)),X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).
fof(f42382,plain,
( ~ theorem(implies(or(or(p,r),not(or(p,q))),implies(q,r)))
| spl0_1
| ~ spl0_792 ),
inference(resolution,[],[f40868,f13]) ).
fof(f40868,plain,
( ! [X28,X29,X27,X30] :
( theorem(implies(implies(X27,X28),or(X29,X30)))
| ~ theorem(implies(or(X28,not(X27)),X30)) )
| ~ spl0_792 ),
inference(avatar_component_clause,[],[f40867]) ).
fof(f44331,plain,
( ~ spl0_852
| ~ spl0_50
| spl0_851 ),
inference(avatar_split_clause,[],[f43634,f43061,f363,f44328]) ).
fof(f44328,plain,
( spl0_852
<=> theorem(not(or(or(p,r),not(or(p,q))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_852])]) ).
fof(f43061,plain,
( spl0_851
<=> theorem(implies(or(or(p,r),not(or(p,q))),r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_851])]) ).
fof(f43634,plain,
( ~ theorem(not(or(or(p,r),not(or(p,q)))))
| ~ spl0_50
| spl0_851 ),
inference(resolution,[],[f43063,f364]) ).
fof(f43063,plain,
( ~ theorem(implies(or(or(p,r),not(or(p,q))),r))
| spl0_851 ),
inference(avatar_component_clause,[],[f43061]) ).
fof(f43064,plain,
( ~ spl0_851
| ~ spl0_792
| spl0_850 ),
inference(avatar_split_clause,[],[f42383,f41165,f40867,f43061]) ).
fof(f41165,plain,
( spl0_850
<=> theorem(implies(implies(or(p,q),or(p,r)),or(p,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).
fof(f42383,plain,
( ~ theorem(implies(or(or(p,r),not(or(p,q))),r))
| ~ spl0_792
| spl0_850 ),
inference(resolution,[],[f40868,f41167]) ).
fof(f41167,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),or(p,r)))
| spl0_850 ),
inference(avatar_component_clause,[],[f41165]) ).
fof(f41168,plain,
( ~ spl0_850
| spl0_1
| ~ spl0_716 ),
inference(avatar_split_clause,[],[f38552,f28023,f11,f41165]) ).
fof(f28023,plain,
( spl0_716
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,or(X1,X3)))
| theorem(implies(X0,or(X1,implies(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
fof(f38552,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),or(p,r)))
| spl0_1
| ~ spl0_716 ),
inference(resolution,[],[f28024,f13]) ).
fof(f28024,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,or(X1,implies(X2,X3))))
| ~ theorem(implies(X0,or(X1,X3))) )
| ~ spl0_716 ),
inference(avatar_component_clause,[],[f28023]) ).
fof(f41101,plain,
( spl0_849
| ~ spl0_126
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f4172,f4130,f1341,f41099]) ).
fof(f41099,plain,
( spl0_849
<=> ! [X31,X29,X32,X30] :
( theorem(or(X29,implies(implies(X30,X31),implies(X30,X32))))
| ~ theorem(or(X32,not(X31))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).
fof(f1341,plain,
( spl0_126
<=> ! [X9,X11,X10] :
( theorem(or(X9,implies(X10,X11)))
| ~ theorem(or(X11,not(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f4172,plain,
( ! [X31,X29,X32,X30] :
( theorem(or(X29,implies(implies(X30,X31),implies(X30,X32))))
| ~ theorem(or(X32,not(X31))) )
| ~ spl0_126
| ~ spl0_237 ),
inference(resolution,[],[f4131,f1342]) ).
fof(f1342,plain,
( ! [X10,X11,X9] :
( theorem(or(X9,implies(X10,X11)))
| ~ theorem(or(X11,not(X10))) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f41097,plain,
( spl0_848
| ~ spl0_126
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f4140,f4126,f1341,f41095]) ).
fof(f41095,plain,
( spl0_848
<=> ! [X31,X29,X32,X30] :
( theorem(or(X29,implies(or(X30,X31),or(X30,X32))))
| ~ theorem(or(X32,not(X31))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).
fof(f4140,plain,
( ! [X31,X29,X32,X30] :
( theorem(or(X29,implies(or(X30,X31),or(X30,X32))))
| ~ theorem(or(X32,not(X31))) )
| ~ spl0_126
| ~ spl0_236 ),
inference(resolution,[],[f4127,f1342]) ).
fof(f41093,plain,
( spl0_847
| ~ spl0_102
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f3906,f3702,f948,f41091]) ).
fof(f41091,plain,
( spl0_847
<=> ! [X34,X32,X33,X31] :
( ~ theorem(implies(not(X31),X32))
| theorem(or(or(X33,X34),implies(implies(X31,X34),X32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).
fof(f3906,plain,
( ! [X31,X34,X32,X33] :
( ~ theorem(implies(not(X31),X32))
| theorem(or(or(X33,X34),implies(implies(X31,X34),X32))) )
| ~ spl0_102
| ~ spl0_230 ),
inference(resolution,[],[f3703,f949]) ).
fof(f41089,plain,
( spl0_846
| ~ spl0_180
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f3721,f3666,f2114,f41087]) ).
fof(f41087,plain,
( spl0_846
<=> ! [X55,X54,X53,X52] :
( theorem(or(X52,or(implies(X53,X54),not(X55))))
| ~ theorem(implies(X53,implies(X55,X54))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).
fof(f3721,plain,
( ! [X54,X55,X52,X53] :
( theorem(or(X52,or(implies(X53,X54),not(X55))))
| ~ theorem(implies(X53,implies(X55,X54))) )
| ~ spl0_180
| ~ spl0_221 ),
inference(resolution,[],[f3667,f2115]) ).
fof(f41085,plain,
( spl0_845
| ~ spl0_178
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f3716,f3666,f2106,f41083]) ).
fof(f41083,plain,
( spl0_845
<=> ! [X35,X33,X34,X36] :
( theorem(or(X33,or(or(X34,X35),not(X36))))
| ~ theorem(or(X34,implies(X36,X35))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).
fof(f3716,plain,
( ! [X36,X34,X35,X33] :
( theorem(or(X33,or(or(X34,X35),not(X36))))
| ~ theorem(or(X34,implies(X36,X35))) )
| ~ spl0_178
| ~ spl0_221 ),
inference(resolution,[],[f3667,f2107]) ).
fof(f41081,plain,
( spl0_844
| ~ spl0_23
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f3639,f3600,f159,f41079]) ).
fof(f41079,plain,
( spl0_844
<=> ! [X150,X148,X147,X149] :
( ~ theorem(implies(not(X147),X148))
| theorem(or(X149,or(X150,X148)))
| ~ theorem(implies(X147,X150)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).
fof(f159,plain,
( spl0_23
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f3600,plain,
( spl0_220
<=> ! [X10,X11,X9,X8] :
( theorem(or(X8,or(X9,X10)))
| ~ theorem(implies(not(X11),X10))
| ~ theorem(or(X8,implies(X11,X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f3639,plain,
( ! [X150,X148,X149,X147] :
( ~ theorem(implies(not(X147),X148))
| theorem(or(X149,or(X150,X148)))
| ~ theorem(implies(X147,X150)) )
| ~ spl0_23
| ~ spl0_220 ),
inference(resolution,[],[f3601,f160]) ).
fof(f160,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f3601,plain,
( ! [X10,X11,X8,X9] :
( ~ theorem(or(X8,implies(X11,X9)))
| ~ theorem(implies(not(X11),X10))
| theorem(or(X8,or(X9,X10))) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f3600]) ).
fof(f41077,plain,
( spl0_843
| ~ spl0_121
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f3625,f3600,f1070,f41075]) ).
fof(f41075,plain,
( spl0_843
<=> ! [X93,X92,X91,X94] :
( ~ theorem(implies(not(X91),X92))
| theorem(or(X93,or(implies(implies(X91,X94),X94),X92))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).
fof(f1070,plain,
( spl0_121
<=> ! [X9,X8,X7] : theorem(or(X7,implies(X8,implies(implies(X8,X9),X9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f3625,plain,
( ! [X91,X94,X92,X93] :
( ~ theorem(implies(not(X91),X92))
| theorem(or(X93,or(implies(implies(X91,X94),X94),X92))) )
| ~ spl0_121
| ~ spl0_220 ),
inference(resolution,[],[f3601,f1071]) ).
fof(f1071,plain,
( ! [X8,X9,X7] : theorem(or(X7,implies(X8,implies(implies(X8,X9),X9))))
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f41073,plain,
( spl0_842
| ~ spl0_50
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f3496,f2869,f363,f41071]) ).
fof(f41071,plain,
( spl0_842
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,implies(or(X3,X4),X5)))
| ~ theorem(implies(X4,X6))
| ~ theorem(not(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).
fof(f3496,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,implies(or(X3,X4),X5)))
| ~ theorem(implies(X4,X6))
| ~ theorem(not(X6)) )
| ~ spl0_50
| ~ spl0_215 ),
inference(resolution,[],[f2870,f364]) ).
fof(f41069,plain,
( spl0_841
| ~ spl0_50
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f3117,f2782,f363,f41067]) ).
fof(f3117,plain,
( ! [X24,X22,X25,X23] :
( theorem(implies(implies(X22,or(X23,X24)),X25))
| ~ theorem(not(or(X23,implies(X22,X24)))) )
| ~ spl0_50
| ~ spl0_196 ),
inference(resolution,[],[f2783,f364]) ).
fof(f41065,plain,
( spl0_840
| ~ spl0_50
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3090,f2778,f363,f41063]) ).
fof(f41063,plain,
( spl0_840
<=> ! [X28,X27,X25,X26] :
( theorem(implies(implies(X25,implies(X26,X27)),X28))
| ~ theorem(not(implies(X26,implies(X25,X27)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).
fof(f3090,plain,
( ! [X28,X26,X27,X25] :
( theorem(implies(implies(X25,implies(X26,X27)),X28))
| ~ theorem(not(implies(X26,implies(X25,X27)))) )
| ~ spl0_50
| ~ spl0_195 ),
inference(resolution,[],[f2779,f364]) ).
fof(f41061,plain,
( spl0_839
| ~ spl0_50
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3063,f2774,f363,f41059]) ).
fof(f41059,plain,
( spl0_839
<=> ! [X38,X41,X40,X39] :
( theorem(implies(implies(X38,X39),X40))
| ~ theorem(implies(X39,X41))
| ~ theorem(not(implies(X38,X41))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).
fof(f3063,plain,
( ! [X40,X38,X41,X39] :
( theorem(implies(implies(X38,X39),X40))
| ~ theorem(implies(X39,X41))
| ~ theorem(not(implies(X38,X41))) )
| ~ spl0_50
| ~ spl0_194 ),
inference(resolution,[],[f2775,f364]) ).
fof(f41057,plain,
( spl0_838
| ~ spl0_50
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3032,f2770,f363,f41055]) ).
fof(f41055,plain,
( spl0_838
<=> ! [X28,X27,X25,X26] :
( theorem(implies(implies(X25,X26),X27))
| ~ theorem(not(implies(implies(X28,X25),implies(X28,X26)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).
fof(f3032,plain,
( ! [X28,X26,X27,X25] :
( theorem(implies(implies(X25,X26),X27))
| ~ theorem(not(implies(implies(X28,X25),implies(X28,X26)))) )
| ~ spl0_50
| ~ spl0_193 ),
inference(resolution,[],[f2771,f364]) ).
fof(f41053,plain,
( spl0_837
| ~ spl0_50
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2983,f2766,f363,f41051]) ).
fof(f41051,plain,
( spl0_837
<=> ! [X28,X27,X25,X26] :
( theorem(implies(implies(X25,X26),X27))
| ~ theorem(not(implies(or(X28,X25),or(X28,X26)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).
fof(f2983,plain,
( ! [X28,X26,X27,X25] :
( theorem(implies(implies(X25,X26),X27))
| ~ theorem(not(implies(or(X28,X25),or(X28,X26)))) )
| ~ spl0_50
| ~ spl0_192 ),
inference(resolution,[],[f2767,f364]) ).
fof(f41049,plain,
( spl0_836
| ~ spl0_50
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2954,f2758,f363,f41047]) ).
fof(f41047,plain,
( spl0_836
<=> ! [X28,X27,X25,X26] :
( theorem(implies(or(X25,implies(X26,X27)),X28))
| ~ theorem(not(implies(X26,or(X25,X27)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).
fof(f2954,plain,
( ! [X28,X26,X27,X25] :
( theorem(implies(or(X25,implies(X26,X27)),X28))
| ~ theorem(not(implies(X26,or(X25,X27)))) )
| ~ spl0_50
| ~ spl0_190 ),
inference(resolution,[],[f2759,f364]) ).
fof(f41045,plain,
( spl0_835
| ~ spl0_50
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2925,f2754,f363,f41043]) ).
fof(f41043,plain,
( spl0_835
<=> ! [X37,X34,X36,X35] :
( theorem(implies(or(X34,X35),X36))
| ~ theorem(implies(X35,X37))
| ~ theorem(not(or(X34,X37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).
fof(f2925,plain,
( ! [X36,X37,X34,X35] :
( theorem(implies(or(X34,X35),X36))
| ~ theorem(implies(X35,X37))
| ~ theorem(not(or(X34,X37))) )
| ~ spl0_50
| ~ spl0_189 ),
inference(resolution,[],[f2755,f364]) ).
fof(f41041,plain,
( spl0_834
| ~ spl0_50
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2891,f2750,f363,f41039]) ).
fof(f41039,plain,
( spl0_834
<=> ! [X24,X23,X25,X22] :
( theorem(implies(or(X22,or(X23,X24)),X25))
| ~ theorem(not(or(X23,or(X22,X24)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).
fof(f2891,plain,
( ! [X24,X22,X25,X23] :
( theorem(implies(or(X22,or(X23,X24)),X25))
| ~ theorem(not(or(X23,or(X22,X24)))) )
| ~ spl0_50
| ~ spl0_188 ),
inference(resolution,[],[f2751,f364]) ).
fof(f41037,plain,
( spl0_833
| ~ spl0_26
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f2742,f2720,f175,f41035]) ).
fof(f41035,plain,
( spl0_833
<=> ! [X11,X10] : theorem(or(implies(X10,not(or(or(X11,not(X10)),or(X11,not(X10))))),X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).
fof(f2720,plain,
( spl0_187
<=> ! [X6,X7] : theorem(or(X6,implies(X7,not(or(or(X6,not(X7)),or(X6,not(X7))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f2742,plain,
( ! [X10,X11] : theorem(or(implies(X10,not(or(or(X11,not(X10)),or(X11,not(X10))))),X11))
| ~ spl0_26
| ~ spl0_187 ),
inference(resolution,[],[f2721,f176]) ).
fof(f2721,plain,
( ! [X6,X7] : theorem(or(X6,implies(X7,not(or(or(X6,not(X7)),or(X6,not(X7)))))))
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f2720]) ).
fof(f41033,plain,
( ~ spl0_832
| ~ spl0_50
| spl0_780 ),
inference(avatar_split_clause,[],[f40987,f40816,f363,f41030]) ).
fof(f41030,plain,
( spl0_832
<=> theorem(not(r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).
fof(f40816,plain,
( spl0_780
<=> theorem(implies(r,p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).
fof(f40987,plain,
( ~ theorem(not(r))
| ~ spl0_50
| spl0_780 ),
inference(resolution,[],[f40818,f364]) ).
fof(f40818,plain,
( ~ theorem(implies(r,p))
| spl0_780 ),
inference(avatar_component_clause,[],[f40816]) ).
fof(f41028,plain,
( spl0_831
| ~ spl0_44
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f2740,f2720,f300,f41026]) ).
fof(f41026,plain,
( spl0_831
<=> ! [X6,X5] : theorem(implies(X5,or(X6,not(or(or(X6,not(X5)),or(X6,not(X5))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).
fof(f2740,plain,
( ! [X6,X5] : theorem(implies(X5,or(X6,not(or(or(X6,not(X5)),or(X6,not(X5)))))))
| ~ spl0_44
| ~ spl0_187 ),
inference(resolution,[],[f2721,f301]) ).
fof(f41024,plain,
( spl0_830
| ~ spl0_26
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2735,f2716,f175,f41022]) ).
fof(f41022,plain,
( spl0_830
<=> ! [X48,X51,X50,X49] :
( ~ theorem(or(or(X48,not(X49)),X50))
| theorem(or(implies(X49,X48),or(X51,X50))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).
fof(f2716,plain,
( spl0_186
<=> ! [X13,X14,X12,X15] :
( theorem(or(or(X12,X13),implies(X14,X15)))
| ~ theorem(or(or(X15,not(X14)),X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f2735,plain,
( ! [X50,X51,X48,X49] :
( ~ theorem(or(or(X48,not(X49)),X50))
| theorem(or(implies(X49,X48),or(X51,X50))) )
| ~ spl0_26
| ~ spl0_186 ),
inference(resolution,[],[f2717,f176]) ).
fof(f2717,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(or(X12,X13),implies(X14,X15)))
| ~ theorem(or(or(X15,not(X14)),X13)) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f2716]) ).
fof(f41020,plain,
( spl0_829
| ~ spl0_44
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2729,f2716,f300,f41018]) ).
fof(f41018,plain,
( spl0_829
<=> ! [X24,X23,X25,X22] :
( ~ theorem(or(or(X22,not(X23)),X24))
| theorem(implies(X23,or(or(X25,X24),X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).
fof(f2729,plain,
( ! [X24,X22,X25,X23] :
( ~ theorem(or(or(X22,not(X23)),X24))
| theorem(implies(X23,or(or(X25,X24),X22))) )
| ~ spl0_44
| ~ spl0_186 ),
inference(resolution,[],[f2717,f301]) ).
fof(f41016,plain,
( spl0_828
| ~ spl0_128
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2725,f2716,f1414,f41014]) ).
fof(f41014,plain,
( spl0_828
<=> ! [X6,X5,X7,X8] :
( ~ theorem(or(or(X5,not(X6)),X7))
| theorem(or(or(X8,implies(X6,X5)),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).
fof(f2725,plain,
( ! [X8,X6,X7,X5] :
( ~ theorem(or(or(X5,not(X6)),X7))
| theorem(or(or(X8,implies(X6,X5)),X7)) )
| ~ spl0_128
| ~ spl0_186 ),
inference(resolution,[],[f2717,f1415]) ).
fof(f41012,plain,
( spl0_827
| ~ spl0_57
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f2724,f2716,f414,f41010]) ).
fof(f41010,plain,
( spl0_827
<=> ! [X2,X4,X3] :
( ~ theorem(or(or(X2,not(X3)),implies(X3,X2)))
| theorem(or(X4,implies(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).
fof(f414,plain,
( spl0_57
<=> ! [X4,X3] :
( ~ theorem(or(or(X3,X4),X4))
| theorem(or(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f2724,plain,
( ! [X2,X3,X4] :
( ~ theorem(or(or(X2,not(X3)),implies(X3,X2)))
| theorem(or(X4,implies(X3,X2))) )
| ~ spl0_57
| ~ spl0_186 ),
inference(resolution,[],[f2717,f415]) ).
fof(f415,plain,
( ! [X3,X4] :
( ~ theorem(or(or(X3,X4),X4))
| theorem(or(X3,X4)) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f41008,plain,
( spl0_826
| ~ spl0_27
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2706,f2130,f182,f41006]) ).
fof(f41006,plain,
( spl0_826
<=> ! [X136,X138,X135,X137] :
( theorem(or(X135,implies(X136,or(X137,not(X138)))))
| ~ theorem(implies(X136,implies(X138,X137))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).
fof(f182,plain,
( spl0_27
<=> ! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2706,plain,
( ! [X138,X136,X137,X135] :
( theorem(or(X135,implies(X136,or(X137,not(X138)))))
| ~ theorem(implies(X136,implies(X138,X137))) )
| ~ spl0_27
| ~ spl0_184 ),
inference(resolution,[],[f2131,f183]) ).
fof(f183,plain,
( ! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0))))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f41004,plain,
( spl0_825
| ~ spl0_101
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2697,f2130,f944,f41002]) ).
fof(f41002,plain,
( spl0_825
<=> ! [X101,X98,X100,X99] :
( theorem(or(X98,implies(X99,implies(or(X100,not(X101)),X100))))
| ~ theorem(implies(X99,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).
fof(f944,plain,
( spl0_101
<=> ! [X0,X1] : theorem(implies(X0,implies(or(X1,not(X0)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f2697,plain,
( ! [X101,X98,X99,X100] :
( theorem(or(X98,implies(X99,implies(or(X100,not(X101)),X100))))
| ~ theorem(implies(X99,X101)) )
| ~ spl0_101
| ~ spl0_184 ),
inference(resolution,[],[f2131,f945]) ).
fof(f945,plain,
( ! [X0,X1] : theorem(implies(X0,implies(or(X1,not(X0)),X1)))
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f41000,plain,
( spl0_824
| ~ spl0_28
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2681,f2130,f186,f40998]) ).
fof(f40998,plain,
( spl0_824
<=> ! [X29,X27,X28,X26] :
( theorem(or(X26,implies(X27,implies(X28,X29))))
| ~ theorem(implies(X27,or(X29,not(X28)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).
fof(f186,plain,
( spl0_28
<=> ! [X0,X1] : theorem(implies(or(X1,not(X0)),implies(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2681,plain,
( ! [X28,X29,X26,X27] :
( theorem(or(X26,implies(X27,implies(X28,X29))))
| ~ theorem(implies(X27,or(X29,not(X28)))) )
| ~ spl0_28
| ~ spl0_184 ),
inference(resolution,[],[f2131,f187]) ).
fof(f187,plain,
( ! [X0,X1] : theorem(implies(or(X1,not(X0)),implies(X0,X1)))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f40996,plain,
( spl0_823
| ~ spl0_27
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2666,f2126,f182,f40994]) ).
fof(f40994,plain,
( spl0_823
<=> ! [X136,X138,X135,X137] :
( theorem(or(X135,implies(X136,or(X137,not(X138)))))
| ~ theorem(or(X135,implies(X138,X137))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).
fof(f2666,plain,
( ! [X138,X136,X137,X135] :
( theorem(or(X135,implies(X136,or(X137,not(X138)))))
| ~ theorem(or(X135,implies(X138,X137))) )
| ~ spl0_27
| ~ spl0_183 ),
inference(resolution,[],[f2127,f183]) ).
fof(f40992,plain,
( spl0_822
| ~ spl0_101
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2657,f2126,f944,f40990]) ).
fof(f40990,plain,
( spl0_822
<=> ! [X101,X98,X100,X99] :
( theorem(or(X98,implies(X99,implies(or(X100,not(X101)),X100))))
| ~ theorem(or(X98,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).
fof(f2657,plain,
( ! [X101,X98,X99,X100] :
( theorem(or(X98,implies(X99,implies(or(X100,not(X101)),X100))))
| ~ theorem(or(X98,X101)) )
| ~ spl0_101
| ~ spl0_183 ),
inference(resolution,[],[f2127,f945]) ).
fof(f40986,plain,
( spl0_821
| ~ spl0_28
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2641,f2126,f186,f40984]) ).
fof(f40984,plain,
( spl0_821
<=> ! [X29,X27,X28,X26] :
( theorem(or(X26,implies(X27,implies(X28,X29))))
| ~ theorem(or(X26,or(X29,not(X28)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).
fof(f2641,plain,
( ! [X28,X29,X26,X27] :
( theorem(or(X26,implies(X27,implies(X28,X29))))
| ~ theorem(or(X26,or(X29,not(X28)))) )
| ~ spl0_28
| ~ spl0_183 ),
inference(resolution,[],[f2127,f187]) ).
fof(f40982,plain,
( spl0_820
| ~ spl0_27
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2523,f2098,f182,f40980]) ).
fof(f40980,plain,
( spl0_820
<=> ! [X136,X138,X135,X137] :
( theorem(or(X135,or(X136,or(X137,not(X138)))))
| ~ theorem(or(X136,implies(X138,X137))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).
fof(f2523,plain,
( ! [X138,X136,X137,X135] :
( theorem(or(X135,or(X136,or(X137,not(X138)))))
| ~ theorem(or(X136,implies(X138,X137))) )
| ~ spl0_27
| ~ spl0_176 ),
inference(resolution,[],[f2099,f183]) ).
fof(f40978,plain,
( spl0_819
| ~ spl0_101
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2514,f2098,f944,f40976]) ).
fof(f40976,plain,
( spl0_819
<=> ! [X101,X98,X100,X99] :
( theorem(or(X98,or(X99,implies(or(X100,not(X101)),X100))))
| ~ theorem(or(X99,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).
fof(f2514,plain,
( ! [X101,X98,X99,X100] :
( theorem(or(X98,or(X99,implies(or(X100,not(X101)),X100))))
| ~ theorem(or(X99,X101)) )
| ~ spl0_101
| ~ spl0_176 ),
inference(resolution,[],[f2099,f945]) ).
fof(f40974,plain,
( spl0_818
| ~ spl0_28
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2498,f2098,f186,f40972]) ).
fof(f40972,plain,
( spl0_818
<=> ! [X29,X27,X28,X26] :
( theorem(or(X26,or(X27,implies(X28,X29))))
| ~ theorem(or(X27,or(X29,not(X28)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).
fof(f2498,plain,
( ! [X28,X29,X26,X27] :
( theorem(or(X26,or(X27,implies(X28,X29))))
| ~ theorem(or(X27,or(X29,not(X28)))) )
| ~ spl0_28
| ~ spl0_176 ),
inference(resolution,[],[f2099,f187]) ).
fof(f40970,plain,
( spl0_817
| ~ spl0_130
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f2441,f2070,f1422,f40968]) ).
fof(f40968,plain,
( spl0_817
<=> ! [X24,X23] : theorem(implies(X23,implies(X24,not(or(implies(X23,not(X24)),implies(X23,not(X24))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).
fof(f2441,plain,
( ! [X24,X23] : theorem(implies(X23,implies(X24,not(or(implies(X23,not(X24)),implies(X23,not(X24)))))))
| ~ spl0_130
| ~ spl0_173 ),
inference(resolution,[],[f2071,f1423]) ).
fof(f40966,plain,
( spl0_816
| ~ spl0_8
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f2433,f2070,f43,f40964]) ).
fof(f40964,plain,
( spl0_816
<=> ! [X2,X3] : theorem(implies(or(implies(X2,not(X3)),implies(X2,not(X3))),implies(X3,not(X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).
fof(f2433,plain,
( ! [X2,X3] : theorem(implies(or(implies(X2,not(X3)),implies(X2,not(X3))),implies(X3,not(X2))))
| ~ spl0_8
| ~ spl0_173 ),
inference(resolution,[],[f2071,f44]) ).
fof(f40962,plain,
( spl0_815
| ~ spl0_6
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f2410,f2062,f34,f40960]) ).
fof(f40960,plain,
( spl0_815
<=> ! [X0,X1] :
( ~ theorem(or(implies(X0,not(X1)),implies(X1,not(X0))))
| theorem(implies(X0,not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).
fof(f2410,plain,
( ! [X0,X1] :
( ~ theorem(or(implies(X0,not(X1)),implies(X1,not(X0))))
| theorem(implies(X0,not(X1))) )
| ~ spl0_6
| ~ spl0_171 ),
inference(superposition,[],[f2063,f35]) ).
fof(f40958,plain,
( spl0_814
| ~ spl0_101
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2384,f2058,f944,f40956]) ).
fof(f40956,plain,
( spl0_814
<=> ! [X66,X64,X65] : theorem(implies(implies(X64,not(X65)),implies(or(X66,not(implies(X65,not(X64)))),X66))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).
fof(f2384,plain,
( ! [X65,X66,X64] : theorem(implies(implies(X64,not(X65)),implies(or(X66,not(implies(X65,not(X64)))),X66)))
| ~ spl0_101
| ~ spl0_170 ),
inference(resolution,[],[f2059,f945]) ).
fof(f40954,plain,
( spl0_813
| ~ spl0_101
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2354,f2054,f944,f40952]) ).
fof(f40952,plain,
( spl0_813
<=> ! [X88,X85,X87,X86] :
( theorem(implies(X85,implies(or(X86,not(or(X87,X88))),X86)))
| ~ theorem(implies(X85,X88)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).
fof(f2354,plain,
( ! [X88,X86,X87,X85] :
( theorem(implies(X85,implies(or(X86,not(or(X87,X88))),X86)))
| ~ theorem(implies(X85,X88)) )
| ~ spl0_101
| ~ spl0_169 ),
inference(resolution,[],[f2055,f945]) ).
fof(f40950,plain,
( spl0_812
| ~ spl0_153
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2334,f2054,f1859,f40948]) ).
fof(f40948,plain,
( spl0_812
<=> ! [X5,X7,X6,X8] :
( theorem(implies(X5,X6))
| ~ theorem(implies(X5,not(X7)))
| ~ theorem(implies(implies(X7,X8),X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).
fof(f2334,plain,
( ! [X8,X6,X7,X5] :
( theorem(implies(X5,X6))
| ~ theorem(implies(X5,not(X7)))
| ~ theorem(implies(implies(X7,X8),X6)) )
| ~ spl0_153
| ~ spl0_169 ),
inference(resolution,[],[f2055,f1860]) ).
fof(f40946,plain,
( spl0_811
| ~ spl0_39
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2331,f2050,f264,f40944]) ).
fof(f40944,plain,
( spl0_811
<=> ! [X153,X152,X151] :
( theorem(or(or(X151,not(X152)),not(X153)))
| ~ theorem(implies(X152,implies(X153,not(X153)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).
fof(f2331,plain,
( ! [X152,X153,X151] :
( theorem(or(or(X151,not(X152)),not(X153)))
| ~ theorem(implies(X152,implies(X153,not(X153)))) )
| ~ spl0_39
| ~ spl0_168 ),
inference(resolution,[],[f2051,f265]) ).
fof(f40942,plain,
( spl0_810
| ~ spl0_103
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2329,f2050,f952,f40940]) ).
fof(f40940,plain,
( spl0_810
<=> ! [X146,X144,X145] : theorem(or(or(X144,implies(X145,not(implies(X145,implies(X146,not(X146)))))),not(X146))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).
fof(f952,plain,
( spl0_103
<=> ! [X0,X1] : theorem(or(X0,implies(X1,not(implies(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f2329,plain,
( ! [X145,X146,X144] : theorem(or(or(X144,implies(X145,not(implies(X145,implies(X146,not(X146)))))),not(X146)))
| ~ spl0_103
| ~ spl0_168 ),
inference(resolution,[],[f2051,f953]) ).
fof(f953,plain,
( ! [X0,X1] : theorem(or(X0,implies(X1,not(implies(X1,X0)))))
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f40938,plain,
( spl0_809
| ~ spl0_55
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2327,f2050,f403,f40936]) ).
fof(f40936,plain,
( spl0_809
<=> ! [X139,X140,X138] : theorem(or(or(X138,implies(implies(X139,implies(X140,not(X140))),not(X139))),not(X140))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).
fof(f403,plain,
( spl0_55
<=> ! [X16,X15] : theorem(or(X15,implies(implies(X16,X15),not(X16)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f2327,plain,
( ! [X140,X138,X139] : theorem(or(or(X138,implies(implies(X139,implies(X140,not(X140))),not(X139))),not(X140)))
| ~ spl0_55
| ~ spl0_168 ),
inference(resolution,[],[f2051,f404]) ).
fof(f404,plain,
( ! [X16,X15] : theorem(or(X15,implies(implies(X16,X15),not(X16))))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f40934,plain,
( spl0_808
| ~ spl0_27
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2258,f2034,f182,f40932]) ).
fof(f40932,plain,
( spl0_808
<=> ! [X136,X138,X135,X137] :
( theorem(or(X135,or(X136,or(X137,not(X138)))))
| ~ theorem(or(X135,implies(X138,X137))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).
fof(f2258,plain,
( ! [X138,X136,X137,X135] :
( theorem(or(X135,or(X136,or(X137,not(X138)))))
| ~ theorem(or(X135,implies(X138,X137))) )
| ~ spl0_27
| ~ spl0_164 ),
inference(resolution,[],[f2035,f183]) ).
fof(f40930,plain,
( spl0_807
| ~ spl0_101
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2249,f2034,f944,f40928]) ).
fof(f40928,plain,
( spl0_807
<=> ! [X101,X98,X100,X99] :
( theorem(or(X98,or(X99,implies(or(X100,not(X101)),X100))))
| ~ theorem(or(X98,X101)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).
fof(f2249,plain,
( ! [X101,X98,X99,X100] :
( theorem(or(X98,or(X99,implies(or(X100,not(X101)),X100))))
| ~ theorem(or(X98,X101)) )
| ~ spl0_101
| ~ spl0_164 ),
inference(resolution,[],[f2035,f945]) ).
fof(f40926,plain,
( spl0_806
| ~ spl0_28
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2233,f2034,f186,f40924]) ).
fof(f40924,plain,
( spl0_806
<=> ! [X29,X27,X28,X26] :
( theorem(or(X26,or(X27,implies(X28,X29))))
| ~ theorem(or(X26,or(X29,not(X28)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).
fof(f2233,plain,
( ! [X28,X29,X26,X27] :
( theorem(or(X26,or(X27,implies(X28,X29))))
| ~ theorem(or(X26,or(X29,not(X28)))) )
| ~ spl0_28
| ~ spl0_164 ),
inference(resolution,[],[f2035,f187]) ).
fof(f40922,plain,
( spl0_805
| ~ spl0_155
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f2187,f2026,f1867,f40920]) ).
fof(f40920,plain,
( spl0_805
<=> ! [X17,X14,X16,X15] :
( ~ theorem(or(implies(X14,not(X15)),X16))
| theorem(implies(X14,implies(X15,or(X17,X16)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).
fof(f1867,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( theorem(implies(X0,implies(X2,X1)))
| ~ theorem(implies(X0,or(X1,not(X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f2187,plain,
( ! [X16,X14,X17,X15] :
( ~ theorem(or(implies(X14,not(X15)),X16))
| theorem(implies(X14,implies(X15,or(X17,X16)))) )
| ~ spl0_155
| ~ spl0_162 ),
inference(resolution,[],[f2027,f1868]) ).
fof(f1868,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,or(X1,not(X2))))
| theorem(implies(X0,implies(X2,X1))) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f40918,plain,
( spl0_804
| ~ spl0_72
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f2171,f2022,f590,f40916]) ).
fof(f40916,plain,
( spl0_804
<=> ! [X29,X27,X28,X26] :
( ~ theorem(or(or(X26,not(X27)),X28))
| theorem(or(X26,implies(X27,or(X29,X28)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).
fof(f2171,plain,
( ! [X28,X29,X26,X27] :
( ~ theorem(or(or(X26,not(X27)),X28))
| theorem(or(X26,implies(X27,or(X29,X28)))) )
| ~ spl0_72
| ~ spl0_161 ),
inference(resolution,[],[f2023,f591]) ).
fof(f40914,plain,
( spl0_803
| ~ spl0_74
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f2012,f1883,f619,f40912]) ).
fof(f40912,plain,
( spl0_803
<=> ! [X18,X17,X19] :
( ~ theorem(implies(not(X17),not(X18)))
| theorem(or(X19,implies(X18,not(implies(X17,X19))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).
fof(f2012,plain,
( ! [X18,X19,X17] :
( ~ theorem(implies(not(X17),not(X18)))
| theorem(or(X19,implies(X18,not(implies(X17,X19))))) )
| ~ spl0_74
| ~ spl0_159 ),
inference(resolution,[],[f1884,f620]) ).
fof(f40910,plain,
( spl0_802
| ~ spl0_69
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f2011,f1883,f503,f40908]) ).
fof(f40908,plain,
( spl0_802
<=> ! [X16,X15] :
( ~ theorem(implies(not(X15),not(implies(X15,X16))))
| theorem(or(X16,not(implies(X15,X16)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).
fof(f2011,plain,
( ! [X16,X15] :
( ~ theorem(implies(not(X15),not(implies(X15,X16))))
| theorem(or(X16,not(implies(X15,X16)))) )
| ~ spl0_69
| ~ spl0_159 ),
inference(resolution,[],[f1884,f504]) ).
fof(f40906,plain,
( ~ spl0_801
| ~ spl0_50
| spl0_779 ),
inference(avatar_split_clause,[],[f40860,f40812,f363,f40903]) ).
fof(f40903,plain,
( spl0_801
<=> theorem(not(p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).
fof(f40812,plain,
( spl0_779
<=> theorem(implies(p,r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).
fof(f40860,plain,
( ~ theorem(not(p))
| ~ spl0_50
| spl0_779 ),
inference(resolution,[],[f40814,f364]) ).
fof(f40814,plain,
( ~ theorem(implies(p,r))
| spl0_779 ),
inference(avatar_component_clause,[],[f40812]) ).
fof(f40901,plain,
( spl0_800
| ~ spl0_116
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f2004,f1879,f1050,f40899]) ).
fof(f40899,plain,
( spl0_800
<=> ! [X51,X50,X49,X52] :
( ~ theorem(implies(implies(X49,X50),implies(X51,X52)))
| theorem(implies(X50,or(X52,not(X51)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).
fof(f1879,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X2,X1)))
| theorem(implies(X0,or(X1,not(X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f2004,plain,
( ! [X50,X51,X49,X52] :
( ~ theorem(implies(implies(X49,X50),implies(X51,X52)))
| theorem(implies(X50,or(X52,not(X51)))) )
| ~ spl0_116
| ~ spl0_158 ),
inference(resolution,[],[f1880,f1051]) ).
fof(f1880,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,not(X2))))
| ~ theorem(implies(X0,implies(X2,X1))) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f40897,plain,
( spl0_799
| ~ spl0_115
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f2002,f1879,f1046,f40895]) ).
fof(f40895,plain,
( spl0_799
<=> ! [X41,X42,X44,X43] :
( ~ theorem(implies(or(X41,X42),implies(X43,X44)))
| theorem(implies(X42,or(X44,not(X43)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).
fof(f2002,plain,
( ! [X41,X44,X42,X43] :
( ~ theorem(implies(or(X41,X42),implies(X43,X44)))
| theorem(implies(X42,or(X44,not(X43)))) )
| ~ spl0_115
| ~ spl0_158 ),
inference(resolution,[],[f1880,f1047]) ).
fof(f40893,plain,
( spl0_798
| ~ spl0_109
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1996,f1879,f1018,f40891]) ).
fof(f40891,plain,
( spl0_798
<=> ! [X18,X20,X17,X19] :
( ~ theorem(implies(X17,implies(X18,X19)))
| theorem(or(X20,or(X19,not(X18))))
| ~ theorem(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).
fof(f1996,plain,
( ! [X18,X19,X17,X20] :
( ~ theorem(implies(X17,implies(X18,X19)))
| theorem(or(X20,or(X19,not(X18))))
| ~ theorem(X17) )
| ~ spl0_109
| ~ spl0_158 ),
inference(resolution,[],[f1880,f1019]) ).
fof(f40889,plain,
( spl0_797
| ~ spl0_117
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1995,f1879,f1054,f40887]) ).
fof(f40887,plain,
( spl0_797
<=> ! [X13,X14,X16,X15] :
( ~ theorem(implies(X13,implies(X14,X15)))
| theorem(implies(X16,or(X15,not(X14))))
| ~ theorem(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).
fof(f1995,plain,
( ! [X16,X14,X15,X13] :
( ~ theorem(implies(X13,implies(X14,X15)))
| theorem(implies(X16,or(X15,not(X14))))
| ~ theorem(X13) )
| ~ spl0_117
| ~ spl0_158 ),
inference(resolution,[],[f1880,f1055]) ).
fof(f40885,plain,
( spl0_796
| ~ spl0_61
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f1973,f1875,f430,f40883]) ).
fof(f40883,plain,
( spl0_796
<=> ! [X18,X17,X19] :
( ~ theorem(or(or(X17,X17),implies(X18,X19)))
| theorem(or(or(X19,not(X18)),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).
fof(f1973,plain,
( ! [X18,X19,X17] :
( ~ theorem(or(or(X17,X17),implies(X18,X19)))
| theorem(or(or(X19,not(X18)),X17)) )
| ~ spl0_61
| ~ spl0_157 ),
inference(resolution,[],[f1876,f431]) ).
fof(f40881,plain,
( spl0_795
| ~ spl0_114
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1938,f1867,f1042,f40879]) ).
fof(f40879,plain,
( spl0_795
<=> ! [X9,X8,X7] :
( theorem(implies(or(X7,X7),implies(X8,X9)))
| ~ theorem(implies(X7,or(X9,not(X8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).
fof(f1938,plain,
( ! [X8,X9,X7] :
( theorem(implies(or(X7,X7),implies(X8,X9)))
| ~ theorem(implies(X7,or(X9,not(X8)))) )
| ~ spl0_114
| ~ spl0_155 ),
inference(resolution,[],[f1868,f1043]) ).
fof(f40877,plain,
( spl0_794
| ~ spl0_105
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1925,f1863,f1002,f40875]) ).
fof(f40875,plain,
( spl0_794
<=> ! [X61,X59,X60] : theorem(implies(implies(X59,X60),implies(implies(X61,not(or(X60,not(X59)))),not(X61)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).
fof(f1925,plain,
( ! [X59,X60,X61] : theorem(implies(implies(X59,X60),implies(implies(X61,not(or(X60,not(X59)))),not(X61))))
| ~ spl0_105
| ~ spl0_154 ),
inference(resolution,[],[f1864,f1003]) ).
fof(f40873,plain,
( spl0_793
| ~ spl0_108
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1920,f1863,f1014,f40871]) ).
fof(f40871,plain,
( spl0_793
<=> ! [X41,X42,X44,X43] :
( theorem(implies(implies(X41,X42),implies(X43,X44)))
| ~ theorem(implies(or(X42,not(X41)),X44)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).
fof(f1920,plain,
( ! [X41,X44,X42,X43] :
( theorem(implies(implies(X41,X42),implies(X43,X44)))
| ~ theorem(implies(or(X42,not(X41)),X44)) )
| ~ spl0_108
| ~ spl0_154 ),
inference(resolution,[],[f1864,f1015]) ).
fof(f40869,plain,
( spl0_792
| ~ spl0_60
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1916,f1863,f426,f40867]) ).
fof(f1916,plain,
( ! [X28,X29,X27,X30] :
( theorem(implies(implies(X27,X28),or(X29,X30)))
| ~ theorem(implies(or(X28,not(X27)),X30)) )
| ~ spl0_60
| ~ spl0_154 ),
inference(resolution,[],[f1864,f427]) ).
fof(f40865,plain,
( spl0_791
| ~ spl0_56
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1902,f1859,f410,f40863]) ).
fof(f40863,plain,
( spl0_791
<=> ! [X57,X55,X56] :
( ~ theorem(implies(implies(X55,X56),not(X57)))
| theorem(implies(X57,not(or(X56,not(X55))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).
fof(f410,plain,
( spl0_56
<=> ! [X0,X1] :
( theorem(implies(X0,not(X1)))
| ~ theorem(implies(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1902,plain,
( ! [X56,X57,X55] :
( ~ theorem(implies(implies(X55,X56),not(X57)))
| theorem(implies(X57,not(or(X56,not(X55))))) )
| ~ spl0_56
| ~ spl0_153 ),
inference(resolution,[],[f1860,f411]) ).
fof(f411,plain,
( ! [X0,X1] :
( ~ theorem(implies(X1,not(X0)))
| theorem(implies(X0,not(X1))) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f40859,plain,
( spl0_790
| ~ spl0_110
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1896,f1859,f1026,f40857]) ).
fof(f40857,plain,
( spl0_790
<=> ! [X38,X37,X39] :
( ~ theorem(implies(implies(X37,X38),or(X39,X39)))
| theorem(implies(or(X38,not(X37)),X39)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).
fof(f1896,plain,
( ! [X38,X39,X37] :
( ~ theorem(implies(implies(X37,X38),or(X39,X39)))
| theorem(implies(or(X38,not(X37)),X39)) )
| ~ spl0_110
| ~ spl0_153 ),
inference(resolution,[],[f1860,f1027]) ).
fof(f40855,plain,
( spl0_789
| ~ spl0_109
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1890,f1859,f1018,f40853]) ).
fof(f40853,plain,
( spl0_789
<=> ! [X17,X14,X16,X15] :
( ~ theorem(implies(implies(X14,X15),X16))
| theorem(or(X17,X16))
| ~ theorem(or(X15,not(X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).
fof(f1890,plain,
( ! [X16,X14,X17,X15] :
( ~ theorem(implies(implies(X14,X15),X16))
| theorem(or(X17,X16))
| ~ theorem(or(X15,not(X14))) )
| ~ spl0_109
| ~ spl0_153 ),
inference(resolution,[],[f1860,f1019]) ).
fof(f40851,plain,
( spl0_788
| ~ spl0_117
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1889,f1859,f1054,f40849]) ).
fof(f40849,plain,
( spl0_788
<=> ! [X10,X11,X13,X12] :
( ~ theorem(implies(implies(X10,X11),X12))
| theorem(implies(X13,X12))
| ~ theorem(or(X11,not(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).
fof(f1889,plain,
( ! [X10,X11,X12,X13] :
( ~ theorem(implies(implies(X10,X11),X12))
| theorem(implies(X13,X12))
| ~ theorem(or(X11,not(X10))) )
| ~ spl0_117
| ~ spl0_153 ),
inference(resolution,[],[f1860,f1055]) ).
fof(f40847,plain,
( spl0_787
| ~ spl0_124
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1853,f1508,f1331,f40845]) ).
fof(f40845,plain,
( spl0_787
<=> ! [X20,X21,X23,X22] :
( ~ theorem(implies(X20,X21))
| theorem(or(X22,X23))
| ~ theorem(not(implies(or(X20,X22),X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).
fof(f1853,plain,
( ! [X21,X22,X23,X20] :
( ~ theorem(implies(X20,X21))
| theorem(or(X22,X23))
| ~ theorem(not(implies(or(X20,X22),X21))) )
| ~ spl0_124
| ~ spl0_151 ),
inference(resolution,[],[f1509,f1332]) ).
fof(f40843,plain,
( spl0_786
| ~ spl0_124
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1837,f1504,f1331,f40841]) ).
fof(f40841,plain,
( spl0_786
<=> ! [X13,X14,X16,X15] :
( theorem(or(X13,X14))
| ~ theorem(not(or(X15,implies(or(or(X15,X16),X13),X16)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).
fof(f1837,plain,
( ! [X16,X14,X15,X13] :
( theorem(or(X13,X14))
| ~ theorem(not(or(X15,implies(or(or(X15,X16),X13),X16)))) )
| ~ spl0_124
| ~ spl0_150 ),
inference(resolution,[],[f1505,f1332]) ).
fof(f40839,plain,
( spl0_785
| ~ spl0_124
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1822,f1500,f1331,f40837]) ).
fof(f40837,plain,
( spl0_785
<=> ! [X13,X14,X16,X15] :
( theorem(or(X13,X14))
| ~ theorem(not(or(X15,implies(or(X15,or(X13,X16)),X16)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).
fof(f1822,plain,
( ! [X16,X14,X15,X13] :
( theorem(or(X13,X14))
| ~ theorem(not(or(X15,implies(or(X15,or(X13,X16)),X16)))) )
| ~ spl0_124
| ~ spl0_149 ),
inference(resolution,[],[f1501,f1332]) ).
fof(f40835,plain,
( spl0_784
| ~ spl0_124
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1814,f1496,f1331,f40833]) ).
fof(f40833,plain,
( spl0_784
<=> ! [X10,X11,X13,X12] :
( theorem(or(X10,X11))
| ~ theorem(not(implies(X12,implies(or(implies(X12,X13),X10),X13)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).
fof(f1814,plain,
( ! [X10,X11,X12,X13] :
( theorem(or(X10,X11))
| ~ theorem(not(implies(X12,implies(or(implies(X12,X13),X10),X13)))) )
| ~ spl0_124
| ~ spl0_148 ),
inference(resolution,[],[f1497,f1332]) ).
fof(f40831,plain,
( spl0_783
| ~ spl0_124
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1804,f1492,f1331,f40829]) ).
fof(f40829,plain,
( spl0_783
<=> ! [X10,X11,X13,X12] :
( theorem(or(X10,X11))
| ~ theorem(not(implies(X12,implies(implies(X12,or(X10,X13)),X13)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).
fof(f1804,plain,
( ! [X10,X11,X12,X13] :
( theorem(or(X10,X11))
| ~ theorem(not(implies(X12,implies(implies(X12,or(X10,X13)),X13)))) )
| ~ spl0_124
| ~ spl0_147 ),
inference(resolution,[],[f1493,f1332]) ).
fof(f40827,plain,
( spl0_782
| ~ spl0_38
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1787,f1484,f259,f40825]) ).
fof(f40825,plain,
( spl0_782
<=> ! [X33] :
( ~ theorem(implies(not(X33),not(implies(X33,not(X33)))))
| theorem(not(implies(X33,not(X33)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).
fof(f1787,plain,
( ! [X33] :
( ~ theorem(implies(not(X33),not(implies(X33,not(X33)))))
| theorem(not(implies(X33,not(X33)))) )
| ~ spl0_38
| ~ spl0_145 ),
inference(resolution,[],[f1485,f260]) ).
fof(f40823,plain,
( spl0_781
| ~ spl0_124
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1669,f1459,f1331,f40821]) ).
fof(f40821,plain,
( spl0_781
<=> ! [X3,X4,X5,X2] :
( theorem(or(implies(implies(X2,or(X3,X4)),implies(X2,X4)),X5))
| ~ theorem(not(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).
fof(f1669,plain,
( ! [X2,X3,X4,X5] :
( theorem(or(implies(implies(X2,or(X3,X4)),implies(X2,X4)),X5))
| ~ theorem(not(X3)) )
| ~ spl0_124
| ~ spl0_139 ),
inference(resolution,[],[f1460,f1332]) ).
fof(f40819,plain,
( ~ spl0_779
| ~ spl0_780
| spl0_505
| ~ spl0_729 ),
inference(avatar_split_clause,[],[f39293,f28119,f21319,f40816,f40812]) ).
fof(f21319,plain,
( spl0_505
<=> theorem(implies(or(p,r),r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f39293,plain,
( ~ theorem(implies(r,p))
| ~ theorem(implies(p,r))
| spl0_505
| ~ spl0_729 ),
inference(resolution,[],[f28120,f21321]) ).
fof(f21321,plain,
( ~ theorem(implies(or(p,r),r))
| spl0_505 ),
inference(avatar_component_clause,[],[f21319]) ).
fof(f40810,plain,
( spl0_778
| ~ spl0_124
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1650,f1455,f1331,f40808]) ).
fof(f40808,plain,
( spl0_778
<=> ! [X2,X1,X3] :
( theorem(or(implies(or(or(X1,X2),or(X1,X2)),X2),X3))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).
fof(f1650,plain,
( ! [X2,X3,X1] :
( theorem(or(implies(or(or(X1,X2),or(X1,X2)),X2),X3))
| ~ theorem(not(X1)) )
| ~ spl0_124
| ~ spl0_138 ),
inference(resolution,[],[f1456,f1332]) ).
fof(f40806,plain,
( spl0_777
| ~ spl0_124
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1631,f1451,f1331,f40804]) ).
fof(f40804,plain,
( spl0_777
<=> ! [X3,X4,X5,X2] :
( ~ theorem(implies(X2,X3))
| theorem(or(implies(or(X4,X2),X3),X5))
| ~ theorem(not(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).
fof(f1631,plain,
( ! [X2,X3,X4,X5] :
( ~ theorem(implies(X2,X3))
| theorem(or(implies(or(X4,X2),X3),X5))
| ~ theorem(not(X4)) )
| ~ spl0_124
| ~ spl0_137 ),
inference(resolution,[],[f1452,f1332]) ).
fof(f40802,plain,
( spl0_776
| ~ spl0_124
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1608,f1447,f1331,f40800]) ).
fof(f40800,plain,
( spl0_776
<=> ! [X3,X4,X5,X2] :
( theorem(or(implies(or(X2,or(X3,X4)),or(X2,X4)),X5))
| ~ theorem(not(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).
fof(f1608,plain,
( ! [X2,X3,X4,X5] :
( theorem(or(implies(or(X2,or(X3,X4)),or(X2,X4)),X5))
| ~ theorem(not(X3)) )
| ~ spl0_124
| ~ spl0_136 ),
inference(resolution,[],[f1448,f1332]) ).
fof(f40798,plain,
( spl0_775
| ~ spl0_125
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1534,f1414,f1337,f40796]) ).
fof(f40796,plain,
( spl0_775
<=> ! [X61,X58,X59,X60] :
( theorem(or(or(X58,implies(X59,X60)),X61))
| ~ theorem(or(or(X61,X61),not(X59))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).
fof(f1337,plain,
( spl0_125
<=> ! [X4,X5,X3] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(or(X3,not(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1534,plain,
( ! [X58,X59,X60,X61] :
( theorem(or(or(X58,implies(X59,X60)),X61))
| ~ theorem(or(or(X61,X61),not(X59))) )
| ~ spl0_125
| ~ spl0_128 ),
inference(resolution,[],[f1415,f1338]) ).
fof(f1338,plain,
( ! [X3,X4,X5] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(or(X3,not(X4))) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f40794,plain,
( spl0_774
| ~ spl0_80
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1397,f1341,f655,f40792]) ).
fof(f40792,plain,
( spl0_774
<=> ! [X13,X12,X11,X14] :
( ~ theorem(or(implies(X11,X12),not(X13)))
| theorem(or(X14,implies(X11,implies(X13,X12)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).
fof(f1397,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(or(implies(X11,X12),not(X13)))
| theorem(or(X14,implies(X11,implies(X13,X12)))) )
| ~ spl0_80
| ~ spl0_126 ),
inference(resolution,[],[f1342,f656]) ).
fof(f40790,plain,
( spl0_773
| ~ spl0_81
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1396,f1341,f659,f40788]) ).
fof(f40788,plain,
( spl0_773
<=> ! [X9,X8,X7,X10] :
( ~ theorem(or(or(X7,X8),not(X9)))
| theorem(or(X10,or(X7,implies(X9,X8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).
fof(f1396,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(or(or(X7,X8),not(X9)))
| theorem(or(X10,or(X7,implies(X9,X8)))) )
| ~ spl0_81
| ~ spl0_126 ),
inference(resolution,[],[f1342,f660]) ).
fof(f40786,plain,
( spl0_772
| ~ spl0_82
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1394,f1341,f663,f40784]) ).
fof(f40784,plain,
( spl0_772
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(or(X2,implies(X1,X3)))
| ~ theorem(implies(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).
fof(f1394,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(or(X2,implies(X1,X3)))
| ~ theorem(implies(X0,X3)) )
| ~ spl0_82
| ~ spl0_126 ),
inference(resolution,[],[f1342,f664]) ).
fof(f40782,plain,
( spl0_771
| ~ spl0_106
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1390,f1337,f1006,f40780]) ).
fof(f40780,plain,
( spl0_771
<=> ! [X36,X37,X35] :
( ~ theorem(or(implies(X35,implies(X36,X37)),not(X36)))
| theorem(implies(X35,implies(X36,X37))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).
fof(f1006,plain,
( spl0_106
<=> ! [X0,X1] :
( ~ theorem(or(implies(X0,X1),X1))
| theorem(implies(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1390,plain,
( ! [X36,X37,X35] :
( ~ theorem(or(implies(X35,implies(X36,X37)),not(X36)))
| theorem(implies(X35,implies(X36,X37))) )
| ~ spl0_106
| ~ spl0_125 ),
inference(resolution,[],[f1338,f1007]) ).
fof(f1007,plain,
( ! [X0,X1] :
( ~ theorem(or(implies(X0,X1),X1))
| theorem(implies(X0,X1)) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f40778,plain,
( spl0_770
| ~ spl0_57
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1389,f1337,f414,f40776]) ).
fof(f40776,plain,
( spl0_770
<=> ! [X34,X32,X33] :
( ~ theorem(or(or(X32,implies(X33,X34)),not(X33)))
| theorem(or(X32,implies(X33,X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).
fof(f1389,plain,
( ! [X34,X32,X33] :
( ~ theorem(or(or(X32,implies(X33,X34)),not(X33)))
| theorem(or(X32,implies(X33,X34))) )
| ~ spl0_57
| ~ spl0_125 ),
inference(resolution,[],[f1338,f415]) ).
fof(f40774,plain,
( spl0_769
| ~ spl0_67
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1364,f1331,f495,f40772]) ).
fof(f40772,plain,
( spl0_769
<=> ! [X81,X78,X80,X79] :
( theorem(or(X78,X79))
| ~ theorem(not(implies(implies(X80,or(X78,X81)),implies(X80,X81)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).
fof(f1364,plain,
( ! [X80,X78,X81,X79] :
( theorem(or(X78,X79))
| ~ theorem(not(implies(implies(X80,or(X78,X81)),implies(X80,X81)))) )
| ~ spl0_67
| ~ spl0_124 ),
inference(resolution,[],[f1332,f496]) ).
fof(f40770,plain,
( spl0_768
| ~ spl0_64
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1361,f1331,f483,f40768]) ).
fof(f40768,plain,
( spl0_768
<=> ! [X65,X64,X67,X66] :
( theorem(or(X64,X65))
| ~ theorem(not(implies(or(X66,or(X64,X67)),or(X66,X67)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).
fof(f1361,plain,
( ! [X65,X66,X67,X64] :
( theorem(or(X64,X65))
| ~ theorem(not(implies(or(X66,or(X64,X67)),or(X66,X67)))) )
| ~ spl0_64
| ~ spl0_124 ),
inference(resolution,[],[f1332,f484]) ).
fof(f40766,plain,
( spl0_767
| ~ spl0_65
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1360,f1331,f487,f40764]) ).
fof(f40764,plain,
( spl0_767
<=> ! [X61,X60,X63,X62] :
( theorem(or(X60,X61))
| ~ theorem(not(implies(or(X60,X62),X63)))
| ~ theorem(implies(X62,X63)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).
fof(f1360,plain,
( ! [X62,X63,X60,X61] :
( theorem(or(X60,X61))
| ~ theorem(not(implies(or(X60,X62),X63)))
| ~ theorem(implies(X62,X63)) )
| ~ spl0_65
| ~ spl0_124 ),
inference(resolution,[],[f1332,f488]) ).
fof(f40762,plain,
( spl0_766
| ~ spl0_66
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1356,f1331,f491,f40760]) ).
fof(f40760,plain,
( spl0_766
<=> ! [X45,X46,X47] :
( theorem(or(X45,X46))
| ~ theorem(not(implies(or(or(X45,X47),or(X45,X47)),X47))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).
fof(f491,plain,
( spl0_66
<=> ! [X9,X8] : theorem(or(X8,implies(or(or(X8,X9),or(X8,X9)),X9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1356,plain,
( ! [X46,X47,X45] :
( theorem(or(X45,X46))
| ~ theorem(not(implies(or(or(X45,X47),or(X45,X47)),X47))) )
| ~ spl0_66
| ~ spl0_124 ),
inference(resolution,[],[f1332,f492]) ).
fof(f492,plain,
( ! [X8,X9] : theorem(or(X8,implies(or(or(X8,X9),or(X8,X9)),X9)))
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f40758,plain,
( spl0_765
| ~ spl0_72
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1108,f1010,f590,f40756]) ).
fof(f40756,plain,
( spl0_765
<=> ! [X38,X36,X37,X39] :
( ~ theorem(or(or(X36,not(X37)),X38))
| theorem(or(implies(X39,X38),implies(X37,X36))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).
fof(f1108,plain,
( ! [X38,X39,X36,X37] :
( ~ theorem(or(or(X36,not(X37)),X38))
| theorem(or(implies(X39,X38),implies(X37,X36))) )
| ~ spl0_72
| ~ spl0_107 ),
inference(resolution,[],[f1011,f591]) ).
fof(f40754,plain,
( spl0_764
| ~ spl0_74
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f994,f948,f619,f40752]) ).
fof(f40752,plain,
( spl0_764
<=> ! [X43,X44,X42] : theorem(or(implies(implies(X42,implies(X43,not(X44))),not(X42)),implies(X44,not(X43)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).
fof(f994,plain,
( ! [X44,X42,X43] : theorem(or(implies(implies(X42,implies(X43,not(X44))),not(X42)),implies(X44,not(X43))))
| ~ spl0_74
| ~ spl0_102 ),
inference(resolution,[],[f949,f620]) ).
fof(f40485,plain,
( ~ spl0_763
| ~ spl0_50
| spl0_762 ),
inference(avatar_split_clause,[],[f39820,f39274,f363,f40482]) ).
fof(f40482,plain,
( spl0_763
<=> theorem(not(implies(or(p,q),r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).
fof(f39274,plain,
( spl0_762
<=> theorem(implies(implies(or(p,q),r),r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).
fof(f39820,plain,
( ~ theorem(not(implies(or(p,q),r)))
| ~ spl0_50
| spl0_762 ),
inference(resolution,[],[f39276,f364]) ).
fof(f39276,plain,
( ~ theorem(implies(implies(or(p,q),r),r))
| spl0_762 ),
inference(avatar_component_clause,[],[f39274]) ).
fof(f39277,plain,
( ~ spl0_762
| ~ spl0_217
| spl0_761 ),
inference(avatar_split_clause,[],[f38687,f38012,f2877,f39274]) ).
fof(f38012,plain,
( spl0_761
<=> theorem(or(p,implies(implies(or(p,q),or(p,r)),r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).
fof(f38687,plain,
( ~ theorem(implies(implies(or(p,q),r),r))
| ~ spl0_217
| spl0_761 ),
inference(resolution,[],[f38014,f2878]) ).
fof(f38014,plain,
( ~ theorem(or(p,implies(implies(or(p,q),or(p,r)),r)))
| spl0_761 ),
inference(avatar_component_clause,[],[f38012]) ).
fof(f38015,plain,
( ~ spl0_761
| spl0_1
| ~ spl0_707 ),
inference(avatar_split_clause,[],[f37928,f27934,f11,f38012]) ).
fof(f27934,plain,
( spl0_707
<=> ! [X10,X11,X12,X9] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(implies(X10,or(X9,implies(X12,X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f37928,plain,
( ~ theorem(or(p,implies(implies(or(p,q),or(p,r)),r)))
| spl0_1
| ~ spl0_707 ),
inference(resolution,[],[f27935,f13]) ).
fof(f27935,plain,
( ! [X10,X11,X9,X12] :
( theorem(implies(X10,or(X9,implies(X12,X11))))
| ~ theorem(or(X9,implies(X10,X11))) )
| ~ spl0_707 ),
inference(avatar_component_clause,[],[f27934]) ).
fof(f36671,plain,
( spl0_760
| ~ spl0_50
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f19604,f17951,f363,f36669]) ).
fof(f36669,plain,
( spl0_760
<=> ! [X0] :
( theorem(not(or(X0,X0)))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).
fof(f17951,plain,
( spl0_399
<=> ! [X21] :
( ~ theorem(implies(X21,not(or(X21,X21))))
| theorem(not(or(X21,X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f19604,plain,
( ! [X0] :
( theorem(not(or(X0,X0)))
| ~ theorem(not(X0)) )
| ~ spl0_50
| ~ spl0_399 ),
inference(resolution,[],[f17952,f364]) ).
fof(f17952,plain,
( ! [X21] :
( ~ theorem(implies(X21,not(or(X21,X21))))
| theorem(not(or(X21,X21))) )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f17951]) ).
fof(f35951,plain,
( spl0_759
| ~ spl0_248
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f19571,f17947,f4232,f35949]) ).
fof(f35949,plain,
( spl0_759
<=> ! [X32] : theorem(implies(or(X32,X32),not(not(X32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).
fof(f4232,plain,
( spl0_248
<=> ! [X6,X5] : theorem(implies(X5,or(X6,not(not(X5))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f17947,plain,
( spl0_398
<=> ! [X14,X15] :
( ~ theorem(implies(X14,or(X15,X15)))
| theorem(implies(or(X14,X14),X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f19571,plain,
( ! [X32] : theorem(implies(or(X32,X32),not(not(X32))))
| ~ spl0_248
| ~ spl0_398 ),
inference(resolution,[],[f17948,f4233]) ).
fof(f4233,plain,
( ! [X6,X5] : theorem(implies(X5,or(X6,not(not(X5)))))
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f4232]) ).
fof(f17948,plain,
( ! [X14,X15] :
( ~ theorem(implies(X14,or(X15,X15)))
| theorem(implies(or(X14,X14),X15)) )
| ~ spl0_398 ),
inference(avatar_component_clause,[],[f17947]) ).
fof(f35224,plain,
( spl0_758
| ~ spl0_255
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f19566,f17947,f4260,f35222]) ).
fof(f35222,plain,
( spl0_758
<=> ! [X22,X21] : theorem(implies(or(X21,X21),implies(X22,X21))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).
fof(f4260,plain,
( spl0_255
<=> ! [X29,X27,X28] : theorem(implies(X27,or(X28,implies(X29,X27)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f19566,plain,
( ! [X21,X22] : theorem(implies(or(X21,X21),implies(X22,X21)))
| ~ spl0_255
| ~ spl0_398 ),
inference(resolution,[],[f17948,f4261]) ).
fof(f4261,plain,
( ! [X28,X29,X27] : theorem(implies(X27,or(X28,implies(X29,X27))))
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f4260]) ).
fof(f34517,plain,
( spl0_757
| ~ spl0_253
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f19564,f17947,f4252,f34515]) ).
fof(f34515,plain,
( spl0_757
<=> ! [X16,X17] : theorem(implies(or(X16,X16),or(X17,X16))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).
fof(f4252,plain,
( spl0_253
<=> ! [X24,X25,X23] : theorem(implies(X23,or(X24,or(X25,X23)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f19564,plain,
( ! [X16,X17] : theorem(implies(or(X16,X16),or(X17,X16)))
| ~ spl0_253
| ~ spl0_398 ),
inference(resolution,[],[f17948,f4253]) ).
fof(f4253,plain,
( ! [X24,X25,X23] : theorem(implies(X23,or(X24,or(X25,X23))))
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f4252]) ).
fof(f33288,plain,
( ~ spl0_756
| ~ spl0_289
| spl0_755 ),
inference(avatar_split_clause,[],[f32697,f31965,f9224,f33285]) ).
fof(f33285,plain,
( spl0_756
<=> theorem(or(r,p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).
fof(f9224,plain,
( spl0_289
<=> ! [X34,X36,X35] :
( ~ theorem(or(X34,X35))
| theorem(implies(X36,or(X35,X34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f31965,plain,
( spl0_755
<=> theorem(implies(q,or(p,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).
fof(f32697,plain,
( ~ theorem(or(r,p))
| ~ spl0_289
| spl0_755 ),
inference(resolution,[],[f31967,f9225]) ).
fof(f9225,plain,
( ! [X36,X34,X35] :
( theorem(implies(X36,or(X35,X34)))
| ~ theorem(or(X34,X35)) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f9224]) ).
fof(f31967,plain,
( ~ theorem(implies(q,or(p,r)))
| spl0_755 ),
inference(avatar_component_clause,[],[f31965]) ).
fof(f31968,plain,
( ~ spl0_755
| spl0_1
| ~ spl0_610 ),
inference(avatar_split_clause,[],[f31048,f27188,f11,f31965]) ).
fof(f27188,plain,
( spl0_610
<=> ! [X93,X91,X90,X92] :
( theorem(implies(X90,or(X91,implies(X92,X93))))
| ~ theorem(implies(X92,or(X91,X93))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f31048,plain,
( ~ theorem(implies(q,or(p,r)))
| spl0_1
| ~ spl0_610 ),
inference(resolution,[],[f27189,f13]) ).
fof(f27189,plain,
( ! [X90,X91,X92,X93] :
( theorem(implies(X90,or(X91,implies(X92,X93))))
| ~ theorem(implies(X92,or(X91,X93))) )
| ~ spl0_610 ),
inference(avatar_component_clause,[],[f27188]) ).
fof(f28898,plain,
( spl0_754
| ~ spl0_93
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f18613,f17874,f827,f28896]) ).
fof(f28896,plain,
( spl0_754
<=> ! [X9,X10] : theorem(or(X9,implies(or(X10,X10),X10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).
fof(f17874,plain,
( spl0_381
<=> ! [X16,X17,X15] :
( theorem(or(X15,implies(X16,X17)))
| ~ theorem(or(implies(X16,X17),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f18613,plain,
( ! [X10,X9] : theorem(or(X9,implies(or(X10,X10),X10)))
| ~ spl0_93
| ~ spl0_381 ),
inference(resolution,[],[f17875,f828]) ).
fof(f17875,plain,
( ! [X16,X17,X15] :
( ~ theorem(or(implies(X16,X17),X17))
| theorem(or(X15,implies(X16,X17))) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f17874]) ).
fof(f28392,plain,
( spl0_753
| ~ spl0_121
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f4182,f4130,f1070,f28390]) ).
fof(f28390,plain,
( spl0_753
<=> ! [X77,X75,X76,X74] : theorem(or(X74,implies(implies(X75,X76),implies(X75,implies(implies(X76,X77),X77))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).
fof(f4182,plain,
( ! [X76,X77,X74,X75] : theorem(or(X74,implies(implies(X75,X76),implies(X75,implies(implies(X76,X77),X77)))))
| ~ spl0_121
| ~ spl0_237 ),
inference(resolution,[],[f4131,f1071]) ).
fof(f28388,plain,
( spl0_752
| ~ spl0_121
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f4150,f4126,f1070,f28386]) ).
fof(f28386,plain,
( spl0_752
<=> ! [X77,X75,X76,X74] : theorem(or(X74,implies(or(X75,X76),or(X75,implies(implies(X76,X77),X77))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).
fof(f4150,plain,
( ! [X76,X77,X74,X75] : theorem(or(X74,implies(or(X75,X76),or(X75,implies(implies(X76,X77),X77)))))
| ~ spl0_121
| ~ spl0_236 ),
inference(resolution,[],[f4127,f1071]) ).
fof(f28325,plain,
( spl0_751
| ~ spl0_8
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f4056,f3978,f43,f28323]) ).
fof(f28323,plain,
( spl0_751
<=> ! [X2,X0,X1] :
( theorem(or(X0,implies(or(X1,X2),X1)))
| ~ theorem(or(X0,implies(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).
fof(f4056,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,implies(or(X1,X2),X1)))
| ~ theorem(or(X0,implies(X2,X1))) )
| ~ spl0_8
| ~ spl0_234 ),
inference(resolution,[],[f3979,f44]) ).
fof(f28321,plain,
( spl0_750
| ~ spl0_146
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f4052,f3974,f1488,f28319]) ).
fof(f28319,plain,
( spl0_750
<=> ! [X61,X62,X63] :
( theorem(implies(implies(X61,X62),implies(X61,not(X63))))
| ~ theorem(implies(X63,not(X62))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).
fof(f4052,plain,
( ! [X62,X63,X61] :
( theorem(implies(implies(X61,X62),implies(X61,not(X63))))
| ~ theorem(implies(X63,not(X62))) )
| ~ spl0_146
| ~ spl0_233 ),
inference(resolution,[],[f3975,f1489]) ).
fof(f28317,plain,
( spl0_749
| ~ spl0_146
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f4004,f3970,f1488,f28315]) ).
fof(f28315,plain,
( spl0_749
<=> ! [X64,X62,X63] :
( theorem(implies(or(X62,X63),or(X62,not(X64))))
| ~ theorem(implies(X64,not(X63))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).
fof(f4004,plain,
( ! [X62,X63,X64] :
( theorem(implies(or(X62,X63),or(X62,not(X64))))
| ~ theorem(implies(X64,not(X63))) )
| ~ spl0_146
| ~ spl0_232 ),
inference(resolution,[],[f3971,f1489]) ).
fof(f28313,plain,
( spl0_748
| ~ spl0_93
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f3903,f3702,f827,f28311]) ).
fof(f28311,plain,
( spl0_748
<=> ! [X20,X18,X17,X19] :
( ~ theorem(implies(X17,X18))
| theorem(or(or(X19,X20),implies(or(X17,X20),X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).
fof(f3903,plain,
( ! [X18,X19,X17,X20] :
( ~ theorem(implies(X17,X18))
| theorem(or(or(X19,X20),implies(or(X17,X20),X18))) )
| ~ spl0_93
| ~ spl0_230 ),
inference(resolution,[],[f3703,f828]) ).
fof(f28309,plain,
( spl0_747
| ~ spl0_108
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f3572,f2881,f1014,f28307]) ).
fof(f28307,plain,
( spl0_747
<=> ! [X9,X7,X6,X8] :
( theorem(implies(X6,implies(X7,X8)))
| ~ theorem(implies(X9,X8))
| ~ theorem(implies(X6,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).
fof(f3572,plain,
( ! [X8,X6,X9,X7] :
( theorem(implies(X6,implies(X7,X8)))
| ~ theorem(implies(X9,X8))
| ~ theorem(implies(X6,X9)) )
| ~ spl0_108
| ~ spl0_218 ),
inference(resolution,[],[f2882,f1015]) ).
fof(f28305,plain,
( spl0_746
| ~ spl0_8
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f3518,f2869,f43,f28303]) ).
fof(f28303,plain,
( spl0_746
<=> ! [X105,X103,X104] :
( theorem(or(X103,implies(or(X103,X104),X105)))
| ~ theorem(implies(X104,or(X105,X105))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).
fof(f3518,plain,
( ! [X104,X105,X103] :
( theorem(or(X103,implies(or(X103,X104),X105)))
| ~ theorem(implies(X104,or(X105,X105))) )
| ~ spl0_8
| ~ spl0_215 ),
inference(resolution,[],[f2870,f44]) ).
fof(f28301,plain,
( spl0_745
| ~ spl0_24
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f3504,f2869,f163,f28299]) ).
fof(f28299,plain,
( spl0_745
<=> ! [X41,X40,X42,X43] :
( theorem(or(X40,implies(or(X40,X41),implies(X42,X43))))
| ~ theorem(implies(X41,X43)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).
fof(f163,plain,
( spl0_24
<=> ! [X0,X1] : theorem(implies(X1,implies(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f3504,plain,
( ! [X40,X41,X42,X43] :
( theorem(or(X40,implies(or(X40,X41),implies(X42,X43))))
| ~ theorem(implies(X41,X43)) )
| ~ spl0_24
| ~ spl0_215 ),
inference(resolution,[],[f2870,f164]) ).
fof(f164,plain,
( ! [X0,X1] : theorem(implies(X1,implies(X0,X1)))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f28297,plain,
( spl0_744
| ~ spl0_11
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f3498,f2869,f73,f28295]) ).
fof(f28295,plain,
( spl0_744
<=> ! [X11,X13,X14,X12] :
( theorem(or(X11,implies(or(X11,X12),or(X13,X14))))
| ~ theorem(implies(X12,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).
fof(f3498,plain,
( ! [X11,X14,X12,X13] :
( theorem(or(X11,implies(or(X11,X12),or(X13,X14))))
| ~ theorem(implies(X12,X14)) )
| ~ spl0_11
| ~ spl0_215 ),
inference(resolution,[],[f2870,f74]) ).
fof(f28293,plain,
( spl0_743
| ~ spl0_24
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f3125,f2782,f163,f28291]) ).
fof(f28291,plain,
( spl0_743
<=> ! [X61,X60,X59,X62] : theorem(implies(implies(X59,or(X60,X61)),implies(X62,or(X60,implies(X59,X61))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).
fof(f3125,plain,
( ! [X59,X62,X60,X61] : theorem(implies(implies(X59,or(X60,X61)),implies(X62,or(X60,implies(X59,X61)))))
| ~ spl0_24
| ~ spl0_196 ),
inference(resolution,[],[f2783,f164]) ).
fof(f28289,plain,
( spl0_742
| ~ spl0_11
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f3119,f2782,f73,f28287]) ).
fof(f28287,plain,
( spl0_742
<=> ! [X31,X33,X32,X30] : theorem(implies(implies(X30,or(X31,X32)),or(X33,or(X31,implies(X30,X32))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).
fof(f3119,plain,
( ! [X31,X32,X30,X33] : theorem(implies(implies(X30,or(X31,X32)),or(X33,or(X31,implies(X30,X32)))))
| ~ spl0_11
| ~ spl0_196 ),
inference(resolution,[],[f2783,f74]) ).
fof(f28229,plain,
( spl0_741
| ~ spl0_24
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3098,f2778,f163,f28227]) ).
fof(f28227,plain,
( spl0_741
<=> ! [X62,X64,X63,X65] : theorem(implies(implies(X62,implies(X63,X64)),implies(X65,implies(X63,implies(X62,X64))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).
fof(f3098,plain,
( ! [X65,X62,X63,X64] : theorem(implies(implies(X62,implies(X63,X64)),implies(X65,implies(X63,implies(X62,X64)))))
| ~ spl0_24
| ~ spl0_195 ),
inference(resolution,[],[f2779,f164]) ).
fof(f28225,plain,
( spl0_740
| ~ spl0_11
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3092,f2778,f73,f28223]) ).
fof(f28223,plain,
( spl0_740
<=> ! [X35,X33,X34,X36] : theorem(implies(implies(X33,implies(X34,X35)),or(X36,implies(X34,implies(X33,X35))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).
fof(f3092,plain,
( ! [X36,X34,X35,X33] : theorem(implies(implies(X33,implies(X34,X35)),or(X36,implies(X34,implies(X33,X35)))))
| ~ spl0_11
| ~ spl0_195 ),
inference(resolution,[],[f2779,f74]) ).
fof(f28221,plain,
( spl0_739
| ~ spl0_24
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3071,f2774,f163,f28219]) ).
fof(f28219,plain,
( spl0_739
<=> ! [X75,X77,X78,X76] :
( theorem(implies(implies(X75,X76),implies(X77,implies(X75,X78))))
| ~ theorem(implies(X76,X78)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).
fof(f3071,plain,
( ! [X78,X76,X77,X75] :
( theorem(implies(implies(X75,X76),implies(X77,implies(X75,X78))))
| ~ theorem(implies(X76,X78)) )
| ~ spl0_24
| ~ spl0_194 ),
inference(resolution,[],[f2775,f164]) ).
fof(f28217,plain,
( spl0_738
| ~ spl0_11
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3065,f2774,f73,f28215]) ).
fof(f28215,plain,
( spl0_738
<=> ! [X48,X47,X49,X46] :
( theorem(implies(implies(X46,X47),or(X48,implies(X46,X49))))
| ~ theorem(implies(X47,X49)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).
fof(f3065,plain,
( ! [X48,X46,X49,X47] :
( theorem(implies(implies(X46,X47),or(X48,implies(X46,X49))))
| ~ theorem(implies(X47,X49)) )
| ~ spl0_11
| ~ spl0_194 ),
inference(resolution,[],[f2775,f74]) ).
fof(f28213,plain,
( spl0_737
| ~ spl0_24
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3040,f2770,f163,f28211]) ).
fof(f28211,plain,
( spl0_737
<=> ! [X61,X60,X63,X62] : theorem(implies(implies(X60,X61),implies(X62,implies(implies(X63,X60),implies(X63,X61))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).
fof(f3040,plain,
( ! [X62,X63,X60,X61] : theorem(implies(implies(X60,X61),implies(X62,implies(implies(X63,X60),implies(X63,X61)))))
| ~ spl0_24
| ~ spl0_193 ),
inference(resolution,[],[f2771,f164]) ).
fof(f28209,plain,
( spl0_736
| ~ spl0_11
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3034,f2770,f73,f28207]) ).
fof(f28207,plain,
( spl0_736
<=> ! [X35,X34,X33,X32] : theorem(implies(implies(X32,X33),or(X34,implies(implies(X35,X32),implies(X35,X33))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).
fof(f3034,plain,
( ! [X34,X35,X32,X33] : theorem(implies(implies(X32,X33),or(X34,implies(implies(X35,X32),implies(X35,X33)))))
| ~ spl0_11
| ~ spl0_193 ),
inference(resolution,[],[f2771,f74]) ).
fof(f28205,plain,
( spl0_735
| ~ spl0_24
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2991,f2766,f163,f28203]) ).
fof(f28203,plain,
( spl0_735
<=> ! [X61,X60,X63,X62] : theorem(implies(implies(X60,X61),implies(X62,implies(or(X63,X60),or(X63,X61))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).
fof(f2991,plain,
( ! [X62,X63,X60,X61] : theorem(implies(implies(X60,X61),implies(X62,implies(or(X63,X60),or(X63,X61)))))
| ~ spl0_24
| ~ spl0_192 ),
inference(resolution,[],[f2767,f164]) ).
fof(f28201,plain,
( spl0_734
| ~ spl0_11
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2985,f2766,f73,f28199]) ).
fof(f28199,plain,
( spl0_734
<=> ! [X35,X34,X33,X32] : theorem(implies(implies(X32,X33),or(X34,implies(or(X35,X32),or(X35,X33))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f2985,plain,
( ! [X34,X35,X32,X33] : theorem(implies(implies(X32,X33),or(X34,implies(or(X35,X32),or(X35,X33)))))
| ~ spl0_11
| ~ spl0_192 ),
inference(resolution,[],[f2767,f74]) ).
fof(f28197,plain,
( spl0_733
| ~ spl0_24
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2962,f2758,f163,f28195]) ).
fof(f28195,plain,
( spl0_733
<=> ! [X62,X64,X63,X65] : theorem(implies(or(X62,implies(X63,X64)),implies(X65,implies(X63,or(X62,X64))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).
fof(f2962,plain,
( ! [X65,X62,X63,X64] : theorem(implies(or(X62,implies(X63,X64)),implies(X65,implies(X63,or(X62,X64)))))
| ~ spl0_24
| ~ spl0_190 ),
inference(resolution,[],[f2759,f164]) ).
fof(f28193,plain,
( spl0_732
| ~ spl0_11
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2956,f2758,f73,f28191]) ).
fof(f28191,plain,
( spl0_732
<=> ! [X35,X33,X34,X36] : theorem(implies(or(X33,implies(X34,X35)),or(X36,implies(X34,or(X33,X35))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).
fof(f2956,plain,
( ! [X36,X34,X35,X33] : theorem(implies(or(X33,implies(X34,X35)),or(X36,implies(X34,or(X33,X35)))))
| ~ spl0_11
| ~ spl0_190 ),
inference(resolution,[],[f2759,f74]) ).
fof(f28129,plain,
( spl0_731
| ~ spl0_24
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2933,f2754,f163,f28127]) ).
fof(f28127,plain,
( spl0_731
<=> ! [X74,X71,X73,X72] :
( theorem(implies(or(X71,X72),implies(X73,or(X71,X74))))
| ~ theorem(implies(X72,X74)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).
fof(f2933,plain,
( ! [X72,X73,X71,X74] :
( theorem(implies(or(X71,X72),implies(X73,or(X71,X74))))
| ~ theorem(implies(X72,X74)) )
| ~ spl0_24
| ~ spl0_189 ),
inference(resolution,[],[f2755,f164]) ).
fof(f28125,plain,
( spl0_730
| ~ spl0_11
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2927,f2754,f73,f28123]) ).
fof(f28123,plain,
( spl0_730
<=> ! [X44,X43,X42,X45] :
( theorem(implies(or(X42,X43),or(X44,or(X42,X45))))
| ~ theorem(implies(X43,X45)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).
fof(f2927,plain,
( ! [X44,X45,X42,X43] :
( theorem(implies(or(X42,X43),or(X44,or(X42,X45))))
| ~ theorem(implies(X43,X45)) )
| ~ spl0_11
| ~ spl0_189 ),
inference(resolution,[],[f2755,f74]) ).
fof(f28121,plain,
( spl0_729
| ~ spl0_114
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f2916,f2754,f1042,f28119]) ).
fof(f2916,plain,
( ! [X2,X3,X4] :
( theorem(implies(or(X2,X3),X4))
| ~ theorem(implies(X3,X2))
| ~ theorem(implies(X2,X4)) )
| ~ spl0_114
| ~ spl0_189 ),
inference(resolution,[],[f2755,f1043]) ).
fof(f28117,plain,
( spl0_728
| ~ spl0_24
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2899,f2750,f163,f28115]) ).
fof(f28115,plain,
( spl0_728
<=> ! [X61,X60,X59,X62] : theorem(implies(or(X59,or(X60,X61)),implies(X62,or(X60,or(X59,X61))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).
fof(f2899,plain,
( ! [X59,X62,X60,X61] : theorem(implies(or(X59,or(X60,X61)),implies(X62,or(X60,or(X59,X61)))))
| ~ spl0_24
| ~ spl0_188 ),
inference(resolution,[],[f2751,f164]) ).
fof(f28113,plain,
( spl0_727
| ~ spl0_11
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f2893,f2750,f73,f28111]) ).
fof(f28111,plain,
( spl0_727
<=> ! [X31,X33,X32,X30] : theorem(implies(or(X30,or(X31,X32)),or(X33,or(X31,or(X30,X32))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).
fof(f2893,plain,
( ! [X31,X32,X30,X33] : theorem(implies(or(X30,or(X31,X32)),or(X33,or(X31,or(X30,X32)))))
| ~ spl0_11
| ~ spl0_188 ),
inference(resolution,[],[f2751,f74]) ).
fof(f28109,plain,
( spl0_726
| ~ spl0_25
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2714,f2130,f171,f28107]) ).
fof(f28107,plain,
( spl0_726
<=> ! [X173,X174,X175] :
( theorem(or(X173,implies(X174,not(X175))))
| ~ theorem(implies(X174,implies(X175,not(X175)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f2714,plain,
( ! [X174,X175,X173] :
( theorem(or(X173,implies(X174,not(X175))))
| ~ theorem(implies(X174,implies(X175,not(X175)))) )
| ~ spl0_25
| ~ spl0_184 ),
inference(resolution,[],[f2131,f172]) ).
fof(f28105,plain,
( spl0_725
| ~ spl0_94
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2703,f2130,f831,f28103]) ).
fof(f28103,plain,
( spl0_725
<=> ! [X125,X126,X127] :
( theorem(or(X125,implies(X126,not(implies(X127,not(X127))))))
| ~ theorem(implies(X126,X127)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f2703,plain,
( ! [X126,X127,X125] :
( theorem(or(X125,implies(X126,not(implies(X127,not(X127))))))
| ~ theorem(implies(X126,X127)) )
| ~ spl0_94
| ~ spl0_184 ),
inference(resolution,[],[f2131,f832]) ).
fof(f28101,plain,
( spl0_724
| ~ spl0_13
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2678,f2130,f86,f28099]) ).
fof(f28099,plain,
( spl0_724
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(implies(X13,or(X15,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f2678,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(implies(X13,or(X15,X14))) )
| ~ spl0_13
| ~ spl0_184 ),
inference(resolution,[],[f2131,f87]) ).
fof(f28097,plain,
( spl0_723
| ~ spl0_25
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2674,f2126,f171,f28095]) ).
fof(f28095,plain,
( spl0_723
<=> ! [X173,X174,X175] :
( theorem(or(X173,implies(X174,not(X175))))
| ~ theorem(or(X173,implies(X175,not(X175)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
fof(f2674,plain,
( ! [X174,X175,X173] :
( theorem(or(X173,implies(X174,not(X175))))
| ~ theorem(or(X173,implies(X175,not(X175)))) )
| ~ spl0_25
| ~ spl0_183 ),
inference(resolution,[],[f2127,f172]) ).
fof(f28093,plain,
( spl0_722
| ~ spl0_94
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2663,f2126,f831,f28091]) ).
fof(f28091,plain,
( spl0_722
<=> ! [X125,X126,X127] :
( theorem(or(X125,implies(X126,not(implies(X127,not(X127))))))
| ~ theorem(or(X125,X127)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f2663,plain,
( ! [X126,X127,X125] :
( theorem(or(X125,implies(X126,not(implies(X127,not(X127))))))
| ~ theorem(or(X125,X127)) )
| ~ spl0_94
| ~ spl0_183 ),
inference(resolution,[],[f2127,f832]) ).
fof(f28045,plain,
( spl0_721
| ~ spl0_13
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2638,f2126,f86,f28043]) ).
fof(f28043,plain,
( spl0_721
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(or(X12,or(X15,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f2638,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(or(X12,or(X15,X14))) )
| ~ spl0_13
| ~ spl0_183 ),
inference(resolution,[],[f2127,f87]) ).
fof(f28041,plain,
( spl0_720
| ~ spl0_26
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f2625,f2122,f175,f28039]) ).
fof(f28039,plain,
( spl0_720
<=> ! [X35,X34,X33,X32] :
( ~ theorem(implies(X32,or(X33,X34)))
| theorem(or(or(X33,implies(X32,X34)),X35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).
fof(f2625,plain,
( ! [X34,X35,X32,X33] :
( ~ theorem(implies(X32,or(X33,X34)))
| theorem(or(or(X33,implies(X32,X34)),X35)) )
| ~ spl0_26
| ~ spl0_182 ),
inference(resolution,[],[f2123,f176]) ).
fof(f28037,plain,
( spl0_719
| ~ spl0_31
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f2621,f2122,f203,f28035]) ).
fof(f28035,plain,
( spl0_719
<=> ! [X18,X17,X16,X19] :
( ~ theorem(implies(X16,or(X17,X18)))
| theorem(or(X17,or(X19,implies(X16,X18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f2621,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(implies(X16,or(X17,X18)))
| theorem(or(X17,or(X19,implies(X16,X18)))) )
| ~ spl0_31
| ~ spl0_182 ),
inference(resolution,[],[f2123,f204]) ).
fof(f28033,plain,
( spl0_718
| ~ spl0_68
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f2620,f2122,f499,f28031]) ).
fof(f28031,plain,
( spl0_718
<=> ! [X13,X12,X14,X15] :
( ~ theorem(implies(X12,or(X13,X14)))
| theorem(or(X15,or(implies(X12,X14),X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f2620,plain,
( ! [X14,X15,X12,X13] :
( ~ theorem(implies(X12,or(X13,X14)))
| theorem(or(X15,or(implies(X12,X14),X13))) )
| ~ spl0_68
| ~ spl0_182 ),
inference(resolution,[],[f2123,f500]) ).
fof(f28029,plain,
( spl0_717
| ~ spl0_61
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f2618,f2122,f430,f28027]) ).
fof(f28027,plain,
( spl0_717
<=> ! [X6,X4,X5] :
( ~ theorem(implies(X4,or(implies(X4,X5),X5)))
| theorem(or(X6,implies(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f2618,plain,
( ! [X6,X4,X5] :
( ~ theorem(implies(X4,or(implies(X4,X5),X5)))
| theorem(or(X6,implies(X4,X5))) )
| ~ spl0_61
| ~ spl0_182 ),
inference(resolution,[],[f2123,f431]) ).
fof(f28025,plain,
( spl0_716
| ~ spl0_6
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f2615,f2118,f34,f28023]) ).
fof(f2615,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,or(X1,X3)))
| theorem(implies(X0,or(X1,implies(X2,X3)))) )
| ~ spl0_6
| ~ spl0_181 ),
inference(forward_demodulation,[],[f2613,f35]) ).
fof(f2613,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,or(X1,implies(X2,X3))))
| ~ theorem(or(not(X0),or(X1,X3))) )
| ~ spl0_6
| ~ spl0_181 ),
inference(superposition,[],[f2119,f35]) ).
fof(f28021,plain,
( spl0_715
| ~ spl0_26
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f2605,f2118,f175,f28019]) ).
fof(f28019,plain,
( spl0_715
<=> ! [X35,X34,X33,X32] :
( ~ theorem(or(X32,or(X33,X34)))
| theorem(or(or(X33,implies(X35,X34)),X32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
fof(f2605,plain,
( ! [X34,X35,X32,X33] :
( ~ theorem(or(X32,or(X33,X34)))
| theorem(or(or(X33,implies(X35,X34)),X32)) )
| ~ spl0_26
| ~ spl0_181 ),
inference(resolution,[],[f2119,f176]) ).
fof(f28017,plain,
( spl0_714
| ~ spl0_31
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f2601,f2118,f203,f28015]) ).
fof(f28015,plain,
( spl0_714
<=> ! [X18,X17,X16,X19] :
( ~ theorem(or(X16,or(X17,X18)))
| theorem(or(X17,or(X16,implies(X19,X18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f2601,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(or(X16,or(X17,X18)))
| theorem(or(X17,or(X16,implies(X19,X18)))) )
| ~ spl0_31
| ~ spl0_181 ),
inference(resolution,[],[f2119,f204]) ).
fof(f28013,plain,
( spl0_713
| ~ spl0_68
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f2600,f2118,f499,f28011]) ).
fof(f28011,plain,
( spl0_713
<=> ! [X13,X14,X12,X15] :
( ~ theorem(or(X12,or(X13,X14)))
| theorem(or(X12,or(implies(X15,X14),X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f2600,plain,
( ! [X14,X15,X12,X13] :
( ~ theorem(or(X12,or(X13,X14)))
| theorem(or(X12,or(implies(X15,X14),X13))) )
| ~ spl0_68
| ~ spl0_181 ),
inference(resolution,[],[f2119,f500]) ).
fof(f28009,plain,
( spl0_712
| ~ spl0_61
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f2598,f2118,f430,f28007]) ).
fof(f28007,plain,
( spl0_712
<=> ! [X6,X4,X5] :
( ~ theorem(or(X4,or(implies(X5,X6),X6)))
| theorem(or(X4,implies(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).
fof(f2598,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(X4,or(implies(X5,X6),X6)))
| theorem(or(X4,implies(X5,X6))) )
| ~ spl0_61
| ~ spl0_181 ),
inference(resolution,[],[f2119,f431]) ).
fof(f27952,plain,
( spl0_711
| ~ spl0_26
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f2588,f2114,f175,f27950]) ).
fof(f27950,plain,
( spl0_711
<=> ! [X28,X27,X25,X26] :
( ~ theorem(implies(X25,implies(X26,X27)))
| theorem(or(implies(X26,implies(X25,X27)),X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).
fof(f2588,plain,
( ! [X28,X26,X27,X25] :
( ~ theorem(implies(X25,implies(X26,X27)))
| theorem(or(implies(X26,implies(X25,X27)),X28)) )
| ~ spl0_26
| ~ spl0_180 ),
inference(resolution,[],[f2115,f176]) ).
fof(f27948,plain,
( spl0_710
| ~ spl0_44
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f2584,f2114,f300,f27946]) ).
fof(f27946,plain,
( spl0_710
<=> ! [X10,X11,X12,X9] :
( ~ theorem(implies(X9,implies(X10,X11)))
| theorem(implies(X10,or(X12,implies(X9,X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f2584,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(implies(X9,implies(X10,X11)))
| theorem(implies(X10,or(X12,implies(X9,X11)))) )
| ~ spl0_44
| ~ spl0_180 ),
inference(resolution,[],[f2115,f301]) ).
fof(f27944,plain,
( spl0_709
| ~ spl0_6
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2581,f2110,f34,f27942]) ).
fof(f27942,plain,
( spl0_709
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(X0,implies(X1,X3)))
| theorem(implies(X0,implies(X1,implies(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).
fof(f2581,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X1,X3)))
| theorem(implies(X0,implies(X1,implies(X2,X3)))) )
| ~ spl0_6
| ~ spl0_179 ),
inference(forward_demodulation,[],[f2580,f35]) ).
fof(f2580,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(X1,implies(X2,X3))))
| ~ theorem(or(not(X0),implies(X1,X3))) )
| ~ spl0_6
| ~ spl0_179 ),
inference(superposition,[],[f2111,f35]) ).
fof(f27940,plain,
( spl0_708
| ~ spl0_26
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2572,f2110,f175,f27938]) ).
fof(f27938,plain,
( spl0_708
<=> ! [X28,X27,X25,X26] :
( ~ theorem(or(X25,implies(X26,X27)))
| theorem(or(implies(X26,implies(X28,X27)),X25)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f2572,plain,
( ! [X28,X26,X27,X25] :
( ~ theorem(or(X25,implies(X26,X27)))
| theorem(or(implies(X26,implies(X28,X27)),X25)) )
| ~ spl0_26
| ~ spl0_179 ),
inference(resolution,[],[f2111,f176]) ).
fof(f27936,plain,
( spl0_707
| ~ spl0_44
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2568,f2110,f300,f27934]) ).
fof(f2568,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(implies(X10,or(X9,implies(X12,X11)))) )
| ~ spl0_44
| ~ spl0_179 ),
inference(resolution,[],[f2111,f301]) ).
fof(f27932,plain,
( spl0_706
| ~ spl0_26
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2555,f2106,f175,f27930]) ).
fof(f27930,plain,
( spl0_706
<=> ! [X28,X27,X25,X26] :
( ~ theorem(or(X25,implies(X26,X27)))
| theorem(or(implies(X26,or(X25,X27)),X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f2555,plain,
( ! [X28,X26,X27,X25] :
( ~ theorem(or(X25,implies(X26,X27)))
| theorem(or(implies(X26,or(X25,X27)),X28)) )
| ~ spl0_26
| ~ spl0_178 ),
inference(resolution,[],[f2107,f176]) ).
fof(f27928,plain,
( spl0_705
| ~ spl0_44
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2551,f2106,f300,f27926]) ).
fof(f27926,plain,
( spl0_705
<=> ! [X10,X11,X12,X9] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(implies(X10,or(X12,or(X9,X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f2551,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(implies(X10,or(X12,or(X9,X11)))) )
| ~ spl0_44
| ~ spl0_178 ),
inference(resolution,[],[f2107,f301]) ).
fof(f27924,plain,
( spl0_704
| ~ spl0_26
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f2538,f2102,f175,f27922]) ).
fof(f27922,plain,
( spl0_704
<=> ! [X28,X27,X25,X26] :
( ~ theorem(or(X25,implies(X26,X27)))
| theorem(or(implies(X26,or(X28,X27)),X25)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f2538,plain,
( ! [X28,X26,X27,X25] :
( ~ theorem(or(X25,implies(X26,X27)))
| theorem(or(implies(X26,or(X28,X27)),X25)) )
| ~ spl0_26
| ~ spl0_177 ),
inference(resolution,[],[f2103,f176]) ).
fof(f27920,plain,
( spl0_703
| ~ spl0_44
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f2534,f2102,f300,f27918]) ).
fof(f27918,plain,
( spl0_703
<=> ! [X10,X11,X12,X9] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(implies(X10,or(X9,or(X12,X11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f2534,plain,
( ! [X10,X11,X9,X12] :
( ~ theorem(or(X9,implies(X10,X11)))
| theorem(implies(X10,or(X9,or(X12,X11)))) )
| ~ spl0_44
| ~ spl0_177 ),
inference(resolution,[],[f2103,f301]) ).
fof(f27916,plain,
( spl0_702
| ~ spl0_25
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2531,f2098,f171,f27914]) ).
fof(f27914,plain,
( spl0_702
<=> ! [X173,X174,X175] :
( theorem(or(X173,or(X174,not(X175))))
| ~ theorem(or(X174,implies(X175,not(X175)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f2531,plain,
( ! [X174,X175,X173] :
( theorem(or(X173,or(X174,not(X175))))
| ~ theorem(or(X174,implies(X175,not(X175)))) )
| ~ spl0_25
| ~ spl0_176 ),
inference(resolution,[],[f2099,f172]) ).
fof(f27883,plain,
( spl0_701
| ~ spl0_94
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2520,f2098,f831,f27881]) ).
fof(f27881,plain,
( spl0_701
<=> ! [X125,X126,X127] :
( theorem(or(X125,or(X126,not(implies(X127,not(X127))))))
| ~ theorem(or(X126,X127)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f2520,plain,
( ! [X126,X127,X125] :
( theorem(or(X125,or(X126,not(implies(X127,not(X127))))))
| ~ theorem(or(X126,X127)) )
| ~ spl0_94
| ~ spl0_176 ),
inference(resolution,[],[f2099,f832]) ).
fof(f27879,plain,
( spl0_700
| ~ spl0_13
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2495,f2098,f86,f27877]) ).
fof(f27877,plain,
( spl0_700
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X13,or(X15,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f2495,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X13,or(X15,X14))) )
| ~ spl0_13
| ~ spl0_176 ),
inference(resolution,[],[f2099,f87]) ).
fof(f27875,plain,
( spl0_699
| ~ spl0_26
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f2480,f2078,f175,f27873]) ).
fof(f27873,plain,
( spl0_699
<=> ! [X35,X34,X33,X32] :
( ~ theorem(or(X32,or(X33,X34)))
| theorem(or(or(X33,or(X32,X34)),X35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f2480,plain,
( ! [X34,X35,X32,X33] :
( ~ theorem(or(X32,or(X33,X34)))
| theorem(or(or(X33,or(X32,X34)),X35)) )
| ~ spl0_26
| ~ spl0_175 ),
inference(resolution,[],[f2079,f176]) ).
fof(f27871,plain,
( spl0_698
| ~ spl0_31
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f2476,f2078,f203,f27869]) ).
fof(f27869,plain,
( spl0_698
<=> ! [X18,X17,X16,X19] :
( ~ theorem(or(X16,or(X17,X18)))
| theorem(or(X17,or(X19,or(X16,X18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f2476,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(or(X16,or(X17,X18)))
| theorem(or(X17,or(X19,or(X16,X18)))) )
| ~ spl0_31
| ~ spl0_175 ),
inference(resolution,[],[f2079,f204]) ).
fof(f27867,plain,
( spl0_697
| ~ spl0_68
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f2475,f2078,f499,f27865]) ).
fof(f27865,plain,
( spl0_697
<=> ! [X13,X12,X14,X15] :
( ~ theorem(or(X12,or(X13,X14)))
| theorem(or(X15,or(or(X12,X14),X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f2475,plain,
( ! [X14,X15,X12,X13] :
( ~ theorem(or(X12,or(X13,X14)))
| theorem(or(X15,or(or(X12,X14),X13))) )
| ~ spl0_68
| ~ spl0_175 ),
inference(resolution,[],[f2079,f500]) ).
fof(f27863,plain,
( spl0_696
| ~ spl0_61
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f2473,f2078,f430,f27861]) ).
fof(f27861,plain,
( spl0_696
<=> ! [X6,X4,X5] :
( ~ theorem(or(X4,or(or(X4,X5),X5)))
| theorem(or(X6,or(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f2473,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(X4,or(or(X4,X5),X5)))
| theorem(or(X6,or(X4,X5))) )
| ~ spl0_61
| ~ spl0_175 ),
inference(resolution,[],[f2079,f431]) ).
fof(f27859,plain,
( spl0_695
| ~ spl0_26
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f2460,f2074,f175,f27857]) ).
fof(f27857,plain,
( spl0_695
<=> ! [X35,X34,X33,X32] :
( ~ theorem(or(X32,or(X33,X34)))
| theorem(or(or(X33,or(X35,X34)),X32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f2460,plain,
( ! [X34,X35,X32,X33] :
( ~ theorem(or(X32,or(X33,X34)))
| theorem(or(or(X33,or(X35,X34)),X32)) )
| ~ spl0_26
| ~ spl0_174 ),
inference(resolution,[],[f2075,f176]) ).
fof(f27855,plain,
( spl0_694
| ~ spl0_31
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f2456,f2074,f203,f27853]) ).
fof(f27853,plain,
( spl0_694
<=> ! [X18,X17,X16,X19] :
( ~ theorem(or(X16,or(X17,X18)))
| theorem(or(X17,or(X16,or(X19,X18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f2456,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(or(X16,or(X17,X18)))
| theorem(or(X17,or(X16,or(X19,X18)))) )
| ~ spl0_31
| ~ spl0_174 ),
inference(resolution,[],[f2075,f204]) ).
fof(f27851,plain,
( spl0_693
| ~ spl0_68
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f2455,f2074,f499,f27849]) ).
fof(f27849,plain,
( spl0_693
<=> ! [X13,X14,X12,X15] :
( ~ theorem(or(X12,or(X13,X14)))
| theorem(or(X12,or(or(X15,X14),X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f2455,plain,
( ! [X14,X15,X12,X13] :
( ~ theorem(or(X12,or(X13,X14)))
| theorem(or(X12,or(or(X15,X14),X13))) )
| ~ spl0_68
| ~ spl0_174 ),
inference(resolution,[],[f2075,f500]) ).
fof(f27847,plain,
( spl0_692
| ~ spl0_61
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f2453,f2074,f430,f27845]) ).
fof(f27845,plain,
( spl0_692
<=> ! [X6,X4,X5] :
( ~ theorem(or(X4,or(or(X5,X6),X6)))
| theorem(or(X4,or(X5,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f2453,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(X4,or(or(X5,X6),X6)))
| theorem(or(X4,or(X5,X6))) )
| ~ spl0_61
| ~ spl0_174 ),
inference(resolution,[],[f2075,f431]) ).
fof(f27828,plain,
( spl0_691
| ~ spl0_48
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f2447,f2070,f318,f27826]) ).
fof(f27826,plain,
( spl0_691
<=> ! [X38,X39,X40] :
( theorem(implies(implies(X38,X39),implies(X40,not(X38))))
| ~ theorem(implies(X39,not(X40))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f2447,plain,
( ! [X40,X38,X39] :
( theorem(implies(implies(X38,X39),implies(X40,not(X38))))
| ~ theorem(implies(X39,not(X40))) )
| ~ spl0_48
| ~ spl0_173 ),
inference(resolution,[],[f2071,f319]) ).
fof(f27824,plain,
( spl0_690
| ~ spl0_6
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f2430,f2066,f34,f27822]) ).
fof(f27822,plain,
( spl0_690
<=> ! [X2,X0,X1] :
( theorem(implies(X0,implies(X2,not(implies(X0,X1)))))
| ~ theorem(implies(X1,not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f2066,plain,
( spl0_172
<=> ! [X13,X12,X11] :
( theorem(or(X11,implies(X12,not(or(X11,X13)))))
| ~ theorem(implies(X13,not(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f2430,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(X2,not(implies(X0,X1)))))
| ~ theorem(implies(X1,not(X2))) )
| ~ spl0_6
| ~ spl0_172 ),
inference(forward_demodulation,[],[f2428,f35]) ).
fof(f2428,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),implies(X2,not(implies(X0,X1)))))
| ~ theorem(implies(X1,not(X2))) )
| ~ spl0_6
| ~ spl0_172 ),
inference(superposition,[],[f2067,f35]) ).
fof(f2067,plain,
( ! [X11,X12,X13] :
( theorem(or(X11,implies(X12,not(or(X11,X13)))))
| ~ theorem(implies(X13,not(X12))) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f27820,plain,
( spl0_689
| ~ spl0_26
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f2425,f2066,f175,f27818]) ).
fof(f27818,plain,
( spl0_689
<=> ! [X18,X16,X17] :
( ~ theorem(implies(X16,not(X17)))
| theorem(or(implies(X17,not(or(X18,X16))),X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f2425,plain,
( ! [X18,X16,X17] :
( ~ theorem(implies(X16,not(X17)))
| theorem(or(implies(X17,not(or(X18,X16))),X18)) )
| ~ spl0_26
| ~ spl0_172 ),
inference(resolution,[],[f2067,f176]) ).
fof(f27816,plain,
( spl0_688
| ~ spl0_44
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f2423,f2066,f300,f27814]) ).
fof(f27814,plain,
( spl0_688
<=> ! [X9,X11,X10] :
( ~ theorem(implies(X9,not(X10)))
| theorem(implies(X10,or(X11,not(or(X11,X9))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f2423,plain,
( ! [X10,X11,X9] :
( ~ theorem(implies(X9,not(X10)))
| theorem(implies(X10,or(X11,not(or(X11,X9))))) )
| ~ spl0_44
| ~ spl0_172 ),
inference(resolution,[],[f2067,f301]) ).
fof(f27812,plain,
( spl0_687
| ~ spl0_48
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2369,f2058,f318,f27810]) ).
fof(f27810,plain,
( spl0_687
<=> ! [X16,X17,X15] :
( theorem(implies(implies(X15,not(X16)),implies(X16,X17)))
| ~ theorem(implies(not(X15),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f2369,plain,
( ! [X16,X17,X15] :
( theorem(implies(implies(X15,not(X16)),implies(X16,X17)))
| ~ theorem(implies(not(X15),X17)) )
| ~ spl0_48
| ~ spl0_170 ),
inference(resolution,[],[f2059,f319]) ).
fof(f27808,plain,
( spl0_686
| ~ spl0_133
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2368,f2058,f1435,f27806]) ).
fof(f27806,plain,
( spl0_686
<=> ! [X13,X12,X14] : theorem(implies(implies(X12,not(X13)),implies(implies(not(X12),X14),implies(X13,X14)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f2368,plain,
( ! [X14,X12,X13] : theorem(implies(implies(X12,not(X13)),implies(implies(not(X12),X14),implies(X13,X14))))
| ~ spl0_133
| ~ spl0_170 ),
inference(resolution,[],[f2059,f1436]) ).
fof(f27804,plain,
( spl0_685
| ~ spl0_36
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2367,f2058,f223,f27802]) ).
fof(f27802,plain,
( spl0_685
<=> ! [X9,X11,X10] : theorem(implies(implies(X9,not(X10)),implies(implies(X11,X10),implies(X11,not(X9))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f2367,plain,
( ! [X10,X11,X9] : theorem(implies(implies(X9,not(X10)),implies(implies(X11,X10),implies(X11,not(X9)))))
| ~ spl0_36
| ~ spl0_170 ),
inference(resolution,[],[f2059,f224]) ).
fof(f27800,plain,
( spl0_684
| ~ spl0_21
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2366,f2058,f126,f27798]) ).
fof(f27798,plain,
( spl0_684
<=> ! [X6,X8,X7] : theorem(implies(implies(X6,not(X7)),implies(or(X8,X7),or(X8,not(X6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f2366,plain,
( ! [X8,X6,X7] : theorem(implies(implies(X6,not(X7)),implies(or(X8,X7),or(X8,not(X6)))))
| ~ spl0_21
| ~ spl0_170 ),
inference(resolution,[],[f2059,f127]) ).
fof(f27796,plain,
( spl0_683
| ~ spl0_131
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2340,f2054,f1426,f27794]) ).
fof(f27794,plain,
( spl0_683
<=> ! [X29,X27,X28,X30] :
( theorem(implies(X27,implies(implies(X28,X29),or(X30,X29))))
| ~ theorem(implies(X27,X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f2340,plain,
( ! [X28,X29,X27,X30] :
( theorem(implies(X27,implies(implies(X28,X29),or(X30,X29))))
| ~ theorem(implies(X27,X28)) )
| ~ spl0_131
| ~ spl0_169 ),
inference(resolution,[],[f2055,f1427]) ).
fof(f27792,plain,
( spl0_682
| ~ spl0_32
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2339,f2054,f207,f27790]) ).
fof(f27790,plain,
( spl0_682
<=> ! [X24,X23,X25,X26] :
( theorem(implies(X23,implies(X24,or(X25,X26))))
| ~ theorem(implies(X23,implies(X24,X26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f2339,plain,
( ! [X26,X24,X25,X23] :
( theorem(implies(X23,implies(X24,or(X25,X26))))
| ~ theorem(implies(X23,implies(X24,X26))) )
| ~ spl0_32
| ~ spl0_169 ),
inference(resolution,[],[f2055,f208]) ).
fof(f27788,plain,
( spl0_681
| ~ spl0_363
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f27687,f18106,f16779,f27786]) ).
fof(f27786,plain,
( spl0_681
<=> ! [X13,X14] : theorem(or(or(X13,X14),not(X13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f16779,plain,
( spl0_363
<=> ! [X4,X3] :
( ~ theorem(implies(X3,implies(X3,X4)))
| theorem(or(X4,not(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f18106,plain,
( spl0_435
<=> ! [X32,X30,X31] : theorem(implies(X30,implies(X31,or(X30,X32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f27687,plain,
( ! [X14,X13] : theorem(or(or(X13,X14),not(X13)))
| ~ spl0_363
| ~ spl0_435 ),
inference(resolution,[],[f18107,f16780]) ).
fof(f16780,plain,
( ! [X3,X4] :
( ~ theorem(implies(X3,implies(X3,X4)))
| theorem(or(X4,not(X3))) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f16779]) ).
fof(f18107,plain,
( ! [X31,X32,X30] : theorem(implies(X30,implies(X31,or(X30,X32))))
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f18106]) ).
fof(f27784,plain,
( spl0_680
| ~ spl0_35
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2337,f2054,f219,f27782]) ).
fof(f27782,plain,
( spl0_680
<=> ! [X18,X17,X16,X19] :
( theorem(implies(X16,or(X17,X18)))
| ~ theorem(implies(X16,X19))
| ~ theorem(implies(X19,X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f2337,plain,
( ! [X18,X19,X16,X17] :
( theorem(implies(X16,or(X17,X18)))
| ~ theorem(implies(X16,X19))
| ~ theorem(implies(X19,X18)) )
| ~ spl0_35
| ~ spl0_169 ),
inference(resolution,[],[f2055,f220]) ).
fof(f27780,plain,
( spl0_679
| ~ spl0_17
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2336,f2054,f110,f27778]) ).
fof(f27778,plain,
( spl0_679
<=> ! [X13,X14,X12,X15] :
( theorem(implies(X12,or(X13,or(X14,X15))))
| ~ theorem(implies(X12,or(X13,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f2336,plain,
( ! [X14,X15,X12,X13] :
( theorem(implies(X12,or(X13,or(X14,X15))))
| ~ theorem(implies(X12,or(X13,X15))) )
| ~ spl0_17
| ~ spl0_169 ),
inference(resolution,[],[f2055,f111]) ).
fof(f27776,plain,
( spl0_678
| ~ spl0_54
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f2309,f2050,f385,f27774]) ).
fof(f27774,plain,
( spl0_678
<=> ! [X66,X65,X67] : theorem(or(or(X65,implies(or(X66,implies(X67,not(X67))),X66)),not(X67))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f385,plain,
( spl0_54
<=> ! [X0,X1] : theorem(or(X0,implies(or(X1,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f2309,plain,
( ! [X65,X66,X67] : theorem(or(or(X65,implies(or(X66,implies(X67,not(X67))),X66)),not(X67)))
| ~ spl0_54
| ~ spl0_168 ),
inference(resolution,[],[f2051,f386]) ).
fof(f386,plain,
( ! [X0,X1] : theorem(or(X0,implies(or(X1,X0),X1)))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f27772,plain,
( spl0_677
| ~ spl0_26
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f2281,f2042,f175,f27770]) ).
fof(f27770,plain,
( spl0_677
<=> ! [X55,X57,X56,X58] :
( ~ theorem(or(or(X55,X56),X57))
| theorem(or(or(X56,X55),or(X58,X57))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f2042,plain,
( spl0_166
<=> ! [X13,X14,X12,X15] :
( theorem(or(or(X12,X13),or(X14,X15)))
| ~ theorem(or(or(X15,X14),X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f2281,plain,
( ! [X58,X56,X57,X55] :
( ~ theorem(or(or(X55,X56),X57))
| theorem(or(or(X56,X55),or(X58,X57))) )
| ~ spl0_26
| ~ spl0_166 ),
inference(resolution,[],[f2043,f176]) ).
fof(f2043,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(or(X12,X13),or(X14,X15)))
| ~ theorem(or(or(X15,X14),X13)) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f27768,plain,
( spl0_676
| ~ spl0_31
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f2274,f2042,f203,f27766]) ).
fof(f27766,plain,
( spl0_676
<=> ! [X29,X27,X28,X30] :
( ~ theorem(or(or(X27,X28),X29))
| theorem(or(X28,or(or(X30,X29),X27))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f2274,plain,
( ! [X28,X29,X27,X30] :
( ~ theorem(or(or(X27,X28),X29))
| theorem(or(X28,or(or(X30,X29),X27))) )
| ~ spl0_31
| ~ spl0_166 ),
inference(resolution,[],[f2043,f204]) ).
fof(f27764,plain,
( spl0_675
| ~ spl0_128
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f2268,f2042,f1414,f27762]) ).
fof(f27762,plain,
( spl0_675
<=> ! [X6,X4,X5,X3] :
( ~ theorem(or(or(X3,X4),X5))
| theorem(or(or(X6,or(X4,X3)),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f2268,plain,
( ! [X3,X6,X4,X5] :
( ~ theorem(or(or(X3,X4),X5))
| theorem(or(or(X6,or(X4,X3)),X5)) )
| ~ spl0_128
| ~ spl0_166 ),
inference(resolution,[],[f2043,f1415]) ).
fof(f27760,plain,
( spl0_674
| ~ spl0_57
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f2267,f2042,f414,f27758]) ).
fof(f27758,plain,
( spl0_674
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),or(X1,X0)))
| theorem(or(X2,or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f2267,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),or(X1,X0)))
| theorem(or(X2,or(X1,X0))) )
| ~ spl0_57
| ~ spl0_166 ),
inference(resolution,[],[f2043,f415]) ).
fof(f27756,plain,
( spl0_673
| ~ spl0_25
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2266,f2034,f171,f27754]) ).
fof(f27754,plain,
( spl0_673
<=> ! [X173,X174,X175] :
( theorem(or(X173,or(X174,not(X175))))
| ~ theorem(or(X173,implies(X175,not(X175)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f2266,plain,
( ! [X174,X175,X173] :
( theorem(or(X173,or(X174,not(X175))))
| ~ theorem(or(X173,implies(X175,not(X175)))) )
| ~ spl0_25
| ~ spl0_164 ),
inference(resolution,[],[f2035,f172]) ).
fof(f27752,plain,
( spl0_672
| ~ spl0_94
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2255,f2034,f831,f27750]) ).
fof(f27750,plain,
( spl0_672
<=> ! [X125,X126,X127] :
( theorem(or(X125,or(X126,not(implies(X127,not(X127))))))
| ~ theorem(or(X125,X127)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f2255,plain,
( ! [X126,X127,X125] :
( theorem(or(X125,or(X126,not(implies(X127,not(X127))))))
| ~ theorem(or(X125,X127)) )
| ~ spl0_94
| ~ spl0_164 ),
inference(resolution,[],[f2035,f832]) ).
fof(f27748,plain,
( spl0_671
| ~ spl0_13
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2230,f2034,f86,f27746]) ).
fof(f27746,plain,
( spl0_671
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X12,or(X15,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f2230,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X12,or(X15,X14))) )
| ~ spl0_13
| ~ spl0_164 ),
inference(resolution,[],[f2035,f87]) ).
fof(f27682,plain,
( spl0_670
| ~ spl0_146
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2224,f2030,f1488,f27680]) ).
fof(f27680,plain,
( spl0_670
<=> ! [X102,X100,X99,X101] :
( theorem(or(X99,implies(X100,implies(X101,not(X102)))))
| ~ theorem(implies(X102,not(X101))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f2224,plain,
( ! [X101,X99,X102,X100] :
( theorem(or(X99,implies(X100,implies(X101,not(X102)))))
| ~ theorem(implies(X102,not(X101))) )
| ~ spl0_146
| ~ spl0_163 ),
inference(resolution,[],[f2031,f1489]) ).
fof(f27678,plain,
( spl0_669
| ~ spl0_7
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f2192,f2026,f38,f27676]) ).
fof(f27676,plain,
( spl0_669
<=> ! [X38,X41,X40,X39] :
( ~ theorem(or(implies(X38,X39),X40))
| theorem(or(or(X41,X40),X39))
| ~ theorem(X38) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f2192,plain,
( ! [X40,X38,X41,X39] :
( ~ theorem(or(implies(X38,X39),X40))
| theorem(or(or(X41,X40),X39))
| ~ theorem(X38) )
| ~ spl0_7
| ~ spl0_162 ),
inference(resolution,[],[f2027,f39]) ).
fof(f27674,plain,
( spl0_668
| ~ spl0_140
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f2183,f2026,f1463,f27672]) ).
fof(f27672,plain,
( spl0_668
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(implies(X0,X1),X2))
| theorem(implies(X0,or(X1,or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f2183,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(implies(X0,X1),X2))
| theorem(implies(X0,or(X1,or(X3,X2)))) )
| ~ spl0_140
| ~ spl0_162 ),
inference(resolution,[],[f2027,f1464]) ).
fof(f27670,plain,
( spl0_667
| ~ spl0_26
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f2175,f2022,f175,f27668]) ).
fof(f27668,plain,
( spl0_667
<=> ! [X45,X44,X43,X42] :
( ~ theorem(or(or(X42,X43),X44))
| theorem(or(or(or(X45,X44),X43),X42)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f2175,plain,
( ! [X44,X45,X42,X43] :
( ~ theorem(or(or(X42,X43),X44))
| theorem(or(or(or(X45,X44),X43),X42)) )
| ~ spl0_26
| ~ spl0_161 ),
inference(resolution,[],[f2023,f176]) ).
fof(f27666,plain,
( spl0_666
| ~ spl0_68
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f2167,f2022,f499,f27664]) ).
fof(f27664,plain,
( spl0_666
<=> ! [X10,X11,X9,X8] :
( ~ theorem(or(or(X8,X9),X10))
| theorem(or(X8,or(X9,or(X11,X10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f2167,plain,
( ! [X10,X11,X8,X9] :
( ~ theorem(or(or(X8,X9),X10))
| theorem(or(X8,or(X9,or(X11,X10)))) )
| ~ spl0_68
| ~ spl0_161 ),
inference(resolution,[],[f2023,f500]) ).
fof(f27662,plain,
( spl0_665
| ~ spl0_146
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2157,f2018,f1488,f27660]) ).
fof(f27660,plain,
( spl0_665
<=> ! [X95,X97,X94,X96] :
( theorem(or(X94,or(X95,implies(X96,not(X97)))))
| ~ theorem(implies(X97,not(X96))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f2157,plain,
( ! [X96,X94,X97,X95] :
( theorem(or(X94,or(X95,implies(X96,not(X97)))))
| ~ theorem(implies(X97,not(X96))) )
| ~ spl0_146
| ~ spl0_160 ),
inference(resolution,[],[f2019,f1489]) ).
fof(f27658,plain,
( spl0_664
| ~ spl0_6
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f2016,f1883,f34,f27656]) ).
fof(f27656,plain,
( spl0_664
<=> ! [X2,X0,X1] :
( theorem(implies(X0,implies(implies(X1,not(X0)),X2)))
| ~ theorem(implies(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f2016,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(implies(X1,not(X0)),X2)))
| ~ theorem(implies(not(X1),X2)) )
| ~ spl0_6
| ~ spl0_159 ),
inference(superposition,[],[f1884,f35]) ).
fof(f27654,plain,
( spl0_663
| ~ spl0_6
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f1987,f1875,f34,f27652]) ).
fof(f27652,plain,
( spl0_663
<=> ! [X2,X0,X1] :
( theorem(or(implies(X0,not(X1)),X2))
| ~ theorem(or(X2,implies(X1,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f1987,plain,
( ! [X2,X0,X1] :
( theorem(or(implies(X0,not(X1)),X2))
| ~ theorem(or(X2,implies(X1,not(X0)))) )
| ~ spl0_6
| ~ spl0_157 ),
inference(superposition,[],[f1876,f35]) ).
fof(f27650,plain,
( spl0_662
| ~ spl0_128
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f1968,f1875,f1414,f27648]) ).
fof(f27648,plain,
( spl0_662
<=> ! [X2,X4,X3] :
( ~ theorem(or(X2,implies(X3,not(X3))))
| theorem(or(or(X4,X2),not(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f1968,plain,
( ! [X2,X3,X4] :
( ~ theorem(or(X2,implies(X3,not(X3))))
| theorem(or(or(X4,X2),not(X3))) )
| ~ spl0_128
| ~ spl0_157 ),
inference(resolution,[],[f1876,f1415]) ).
fof(f27646,plain,
( spl0_661
| ~ spl0_6
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1963,f1871,f34,f27644]) ).
fof(f27644,plain,
( spl0_661
<=> ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,not(X2))))
| ~ theorem(or(X1,implies(X2,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f1963,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,not(X2))))
| ~ theorem(or(X1,implies(X2,not(X0)))) )
| ~ spl0_6
| ~ spl0_156 ),
inference(superposition,[],[f1872,f35]) ).
fof(f27576,plain,
( spl0_660
| ~ spl0_19
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1956,f1871,f118,f27574]) ).
fof(f27574,plain,
( spl0_660
<=> ! [X18,X19] :
( ~ theorem(or(X18,implies(X19,or(X18,not(X19)))))
| theorem(or(X18,not(X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f1956,plain,
( ! [X18,X19] :
( ~ theorem(or(X18,implies(X19,or(X18,not(X19)))))
| theorem(or(X18,not(X19))) )
| ~ spl0_19
| ~ spl0_156 ),
inference(resolution,[],[f1872,f119]) ).
fof(f27572,plain,
( spl0_659
| ~ spl0_8
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1937,f1867,f43,f27570]) ).
fof(f27570,plain,
( spl0_659
<=> ! [X6,X5] : theorem(implies(or(or(X5,not(X6)),or(X5,not(X6))),implies(X6,X5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f1937,plain,
( ! [X6,X5] : theorem(implies(or(or(X5,not(X6)),or(X5,not(X6))),implies(X6,X5)))
| ~ spl0_8
| ~ spl0_155 ),
inference(resolution,[],[f1868,f44]) ).
fof(f27568,plain,
( spl0_658
| ~ spl0_101
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1922,f1863,f944,f27566]) ).
fof(f27566,plain,
( spl0_658
<=> ! [X50,X51,X49] : theorem(implies(implies(X49,X50),implies(or(X51,not(or(X50,not(X49)))),X51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f1922,plain,
( ! [X50,X51,X49] : theorem(implies(implies(X49,X50),implies(or(X51,not(or(X50,not(X49)))),X51)))
| ~ spl0_101
| ~ spl0_154 ),
inference(resolution,[],[f1864,f945]) ).
fof(f27564,plain,
( spl0_657
| ~ spl0_74
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1852,f1508,f619,f27562]) ).
fof(f27562,plain,
( spl0_657
<=> ! [X18,X17,X19] :
( ~ theorem(implies(X17,not(X18)))
| theorem(or(X19,implies(X18,not(or(X17,X19))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f1852,plain,
( ! [X18,X19,X17] :
( ~ theorem(implies(X17,not(X18)))
| theorem(or(X19,implies(X18,not(or(X17,X19))))) )
| ~ spl0_74
| ~ spl0_151 ),
inference(resolution,[],[f1509,f620]) ).
fof(f27560,plain,
( spl0_656
| ~ spl0_69
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1851,f1508,f503,f27558]) ).
fof(f27558,plain,
( spl0_656
<=> ! [X16,X15] :
( ~ theorem(implies(X15,not(or(X15,X16))))
| theorem(or(X16,not(or(X15,X16)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f1851,plain,
( ! [X16,X15] :
( ~ theorem(implies(X15,not(or(X15,X16))))
| theorem(or(X16,not(or(X15,X16)))) )
| ~ spl0_69
| ~ spl0_151 ),
inference(resolution,[],[f1509,f504]) ).
fof(f27556,plain,
( spl0_655
| ~ spl0_128
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1798,f1488,f1414,f27554]) ).
fof(f27554,plain,
( spl0_655
<=> ! [X29,X27,X28,X30] :
( ~ theorem(implies(X27,not(X28)))
| theorem(or(or(X29,implies(X28,not(X27))),X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f1798,plain,
( ! [X28,X29,X27,X30] :
( ~ theorem(implies(X27,not(X28)))
| theorem(or(or(X29,implies(X28,not(X27))),X30)) )
| ~ spl0_128
| ~ spl0_146 ),
inference(resolution,[],[f1489,f1415]) ).
fof(f27552,plain,
( spl0_654
| ~ spl0_56
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1788,f1484,f410,f27550]) ).
fof(f27550,plain,
( spl0_654
<=> ! [X34,X35] :
( ~ theorem(implies(not(X34),not(X35)))
| theorem(implies(X35,not(implies(X34,not(X34))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f1788,plain,
( ! [X34,X35] :
( ~ theorem(implies(not(X34),not(X35)))
| theorem(implies(X35,not(implies(X34,not(X34))))) )
| ~ spl0_56
| ~ spl0_145 ),
inference(resolution,[],[f1485,f411]) ).
fof(f27548,plain,
( spl0_653
| ~ spl0_110
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1782,f1484,f1026,f27546]) ).
fof(f27546,plain,
( spl0_653
<=> ! [X22,X23] :
( ~ theorem(implies(not(X22),or(X23,X23)))
| theorem(implies(implies(X22,not(X22)),X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f1782,plain,
( ! [X22,X23] :
( ~ theorem(implies(not(X22),or(X23,X23)))
| theorem(implies(implies(X22,not(X22)),X23)) )
| ~ spl0_110
| ~ spl0_145 ),
inference(resolution,[],[f1485,f1027]) ).
fof(f27544,plain,
( spl0_652
| ~ spl0_109
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1776,f1484,f1018,f27542]) ).
fof(f27542,plain,
( spl0_652
<=> ! [X6,X5,X7] :
( ~ theorem(implies(not(X5),X6))
| theorem(or(X7,X6))
| ~ theorem(implies(X5,not(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f1776,plain,
( ! [X6,X7,X5] :
( ~ theorem(implies(not(X5),X6))
| theorem(or(X7,X6))
| ~ theorem(implies(X5,not(X5))) )
| ~ spl0_109
| ~ spl0_145 ),
inference(resolution,[],[f1485,f1019]) ).
fof(f27540,plain,
( spl0_651
| ~ spl0_117
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1775,f1484,f1054,f27538]) ).
fof(f27538,plain,
( spl0_651
<=> ! [X2,X4,X3] :
( ~ theorem(implies(not(X2),X3))
| theorem(implies(X4,X3))
| ~ theorem(implies(X2,not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f1775,plain,
( ! [X2,X3,X4] :
( ~ theorem(implies(not(X2),X3))
| theorem(implies(X4,X3))
| ~ theorem(implies(X2,not(X2))) )
| ~ spl0_117
| ~ spl0_145 ),
inference(resolution,[],[f1485,f1055]) ).
fof(f27474,plain,
( spl0_650
| ~ spl0_94
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1771,f1480,f831,f27472]) ).
fof(f27472,plain,
( spl0_650
<=> ! [X93,X94,X95] :
( theorem(implies(X93,not(implies(or(X94,X95),not(or(X94,X95))))))
| ~ theorem(X94) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f1771,plain,
( ! [X94,X95,X93] :
( theorem(implies(X93,not(implies(or(X94,X95),not(or(X94,X95))))))
| ~ theorem(X94) )
| ~ spl0_94
| ~ spl0_144 ),
inference(resolution,[],[f1481,f832]) ).
fof(f27470,plain,
( spl0_649
| ~ spl0_105
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1768,f1480,f1002,f27468]) ).
fof(f27468,plain,
( spl0_649
<=> ! [X82,X81,X80,X79] :
( theorem(implies(X79,implies(implies(X80,not(or(X81,X82))),not(X80))))
| ~ theorem(X81) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f1768,plain,
( ! [X82,X80,X81,X79] :
( theorem(implies(X79,implies(implies(X80,not(or(X81,X82))),not(X80))))
| ~ theorem(X81) )
| ~ spl0_105
| ~ spl0_144 ),
inference(resolution,[],[f1481,f1003]) ).
fof(f27466,plain,
( spl0_648
| ~ spl0_108
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1763,f1480,f1014,f27464]) ).
fof(f27464,plain,
( spl0_648
<=> ! [X59,X60,X61,X57,X58] :
( theorem(implies(X57,implies(X58,X59)))
| ~ theorem(X60)
| ~ theorem(implies(or(X60,X61),X59)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f1763,plain,
( ! [X58,X59,X57,X60,X61] :
( theorem(implies(X57,implies(X58,X59)))
| ~ theorem(X60)
| ~ theorem(implies(or(X60,X61),X59)) )
| ~ spl0_108
| ~ spl0_144 ),
inference(resolution,[],[f1481,f1015]) ).
fof(f27462,plain,
( spl0_647
| ~ spl0_60
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1759,f1480,f426,f27460]) ).
fof(f27460,plain,
( spl0_647
<=> ! [X41,X42,X44,X45,X43] :
( theorem(implies(X41,or(X42,X43)))
| ~ theorem(X44)
| ~ theorem(implies(or(X44,X45),X43)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f1759,plain,
( ! [X41,X44,X45,X42,X43] :
( theorem(implies(X41,or(X42,X43)))
| ~ theorem(X44)
| ~ theorem(implies(or(X44,X45),X43)) )
| ~ spl0_60
| ~ spl0_144 ),
inference(resolution,[],[f1481,f427]) ).
fof(f27458,plain,
( spl0_646
| ~ spl0_94
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1743,f1471,f831,f27456]) ).
fof(f27456,plain,
( spl0_646
<=> ! [X73,X74] : theorem(implies(or(X73,X74),not(implies(or(X74,X73),not(or(X74,X73)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f1743,plain,
( ! [X73,X74] : theorem(implies(or(X73,X74),not(implies(or(X74,X73),not(or(X74,X73))))))
| ~ spl0_94
| ~ spl0_142 ),
inference(resolution,[],[f1472,f832]) ).
fof(f27454,plain,
( spl0_645
| ~ spl0_105
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1740,f1471,f1002,f27452]) ).
fof(f27452,plain,
( spl0_645
<=> ! [X64,X62,X63] : theorem(implies(or(X62,X63),implies(implies(X64,not(or(X63,X62))),not(X64)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f1740,plain,
( ! [X62,X63,X64] : theorem(implies(or(X62,X63),implies(implies(X64,not(or(X63,X62))),not(X64))))
| ~ spl0_105
| ~ spl0_142 ),
inference(resolution,[],[f1472,f1003]) ).
fof(f27450,plain,
( spl0_644
| ~ spl0_108
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1735,f1471,f1014,f27448]) ).
fof(f27448,plain,
( spl0_644
<=> ! [X44,X47,X46,X45] :
( theorem(implies(or(X44,X45),implies(X46,X47)))
| ~ theorem(implies(or(X45,X44),X47)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f1735,plain,
( ! [X46,X47,X44,X45] :
( theorem(implies(or(X44,X45),implies(X46,X47)))
| ~ theorem(implies(or(X45,X44),X47)) )
| ~ spl0_108
| ~ spl0_142 ),
inference(resolution,[],[f1472,f1015]) ).
fof(f27446,plain,
( spl0_643
| ~ spl0_60
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1731,f1471,f426,f27444]) ).
fof(f27444,plain,
( spl0_643
<=> ! [X31,X33,X30,X32] :
( theorem(implies(or(X30,X31),or(X32,X33)))
| ~ theorem(implies(or(X31,X30),X33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f1731,plain,
( ! [X31,X32,X30,X33] :
( theorem(implies(or(X30,X31),or(X32,X33)))
| ~ theorem(implies(or(X31,X30),X33)) )
| ~ spl0_60
| ~ spl0_142 ),
inference(resolution,[],[f1472,f427]) ).
fof(f27442,plain,
( spl0_642
| ~ spl0_134
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1713,f1467,f1439,f27440]) ).
fof(f27440,plain,
( spl0_642
<=> ! [X9,X10] :
( theorem(implies(X9,not(implies(X9,X10))))
| ~ theorem(implies(X10,not(implies(X9,X10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f1713,plain,
( ! [X10,X9] :
( theorem(implies(X9,not(implies(X9,X10))))
| ~ theorem(implies(X10,not(implies(X9,X10)))) )
| ~ spl0_134
| ~ spl0_141 ),
inference(resolution,[],[f1468,f1440]) ).
fof(f27438,plain,
( spl0_641
| ~ spl0_114
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1709,f1467,f1042,f27436]) ).
fof(f27436,plain,
( spl0_641
<=> ! [X2,X3] :
( theorem(implies(or(X2,X2),not(X3)))
| ~ theorem(implies(X2,implies(X3,not(X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f1709,plain,
( ! [X2,X3] :
( theorem(implies(or(X2,X2),not(X3)))
| ~ theorem(implies(X2,implies(X3,not(X3)))) )
| ~ spl0_114
| ~ spl0_141 ),
inference(resolution,[],[f1468,f1043]) ).
fof(f27371,plain,
( spl0_640
| ~ spl0_114
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1696,f1463,f1042,f27369]) ).
fof(f27369,plain,
( spl0_640
<=> ! [X11,X12,X10] :
( theorem(implies(or(X10,X10),or(X11,X12)))
| ~ theorem(implies(X10,or(X12,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f1696,plain,
( ! [X10,X11,X12] :
( theorem(implies(or(X10,X10),or(X11,X12)))
| ~ theorem(implies(X10,or(X12,X11))) )
| ~ spl0_114
| ~ spl0_140 ),
inference(resolution,[],[f1464,f1043]) ).
fof(f27367,plain,
( spl0_639
| ~ spl0_61
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1671,f1459,f430,f27365]) ).
fof(f27365,plain,
( spl0_639
<=> ! [X9,X11,X10] : theorem(or(implies(implies(X9,or(or(X10,X10),X11)),implies(X9,X11)),X10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f1671,plain,
( ! [X10,X11,X9] : theorem(or(implies(implies(X9,or(or(X10,X10),X11)),implies(X9,X11)),X10))
| ~ spl0_61
| ~ spl0_139 ),
inference(resolution,[],[f1460,f431]) ).
fof(f27363,plain,
( spl0_638
| ~ spl0_61
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1633,f1451,f430,f27361]) ).
fof(f27361,plain,
( spl0_638
<=> ! [X9,X11,X10] :
( ~ theorem(implies(X9,X10))
| theorem(or(implies(or(or(X11,X11),X9),X10),X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f1633,plain,
( ! [X10,X11,X9] :
( ~ theorem(implies(X9,X10))
| theorem(or(implies(or(or(X11,X11),X9),X10),X11)) )
| ~ spl0_61
| ~ spl0_137 ),
inference(resolution,[],[f1452,f431]) ).
fof(f27359,plain,
( spl0_637
| ~ spl0_61
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1610,f1447,f430,f27357]) ).
fof(f27357,plain,
( spl0_637
<=> ! [X9,X11,X10] : theorem(or(implies(or(X9,or(or(X10,X10),X11)),or(X9,X11)),X10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f1610,plain,
( ! [X10,X11,X9] : theorem(or(implies(or(X9,or(or(X10,X10),X11)),or(X9,X11)),X10))
| ~ spl0_61
| ~ spl0_136 ),
inference(resolution,[],[f1448,f431]) ).
fof(f27355,plain,
( spl0_636
| ~ spl0_116
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1606,f1443,f1050,f27353]) ).
fof(f27353,plain,
( spl0_636
<=> ! [X29,X27,X28,X26] : theorem(implies(X26,implies(implies(X27,implies(implies(X28,X26),X29)),implies(X27,X29)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f1606,plain,
( ! [X28,X29,X26,X27] : theorem(implies(X26,implies(implies(X27,implies(implies(X28,X26),X29)),implies(X27,X29))))
| ~ spl0_116
| ~ spl0_135 ),
inference(resolution,[],[f1444,f1051]) ).
fof(f27351,plain,
( spl0_635
| ~ spl0_115
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1605,f1443,f1046,f27349]) ).
fof(f27349,plain,
( spl0_635
<=> ! [X24,X23,X25,X22] : theorem(implies(X22,implies(implies(X23,implies(or(X24,X22),X25)),implies(X23,X25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f1605,plain,
( ! [X24,X22,X25,X23] : theorem(implies(X22,implies(implies(X23,implies(or(X24,X22),X25)),implies(X23,X25))))
| ~ spl0_115
| ~ spl0_135 ),
inference(resolution,[],[f1444,f1047]) ).
fof(f27347,plain,
( spl0_634
| ~ spl0_109
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1601,f1443,f1018,f27345]) ).
fof(f27345,plain,
( spl0_634
<=> ! [X10,X7,X9,X8] :
( theorem(or(X7,implies(implies(X8,implies(X9,X10)),implies(X8,X10))))
| ~ theorem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f1601,plain,
( ! [X10,X8,X9,X7] :
( theorem(or(X7,implies(implies(X8,implies(X9,X10)),implies(X8,X10))))
| ~ theorem(X9) )
| ~ spl0_109
| ~ spl0_135 ),
inference(resolution,[],[f1444,f1019]) ).
fof(f27343,plain,
( spl0_633
| ~ spl0_117
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1600,f1443,f1054,f27341]) ).
fof(f27341,plain,
( spl0_633
<=> ! [X5,X4,X6,X3] :
( theorem(implies(X3,implies(implies(X4,implies(X5,X6)),implies(X4,X6))))
| ~ theorem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f1600,plain,
( ! [X3,X6,X4,X5] :
( theorem(implies(X3,implies(implies(X4,implies(X5,X6)),implies(X4,X6))))
| ~ theorem(X5) )
| ~ spl0_117
| ~ spl0_135 ),
inference(resolution,[],[f1444,f1055]) ).
fof(f27339,plain,
( spl0_632
| ~ spl0_116
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1598,f1439,f1050,f27337]) ).
fof(f27337,plain,
( spl0_632
<=> ! [X29,X27,X28,X26] :
( ~ theorem(implies(X26,X27))
| theorem(implies(X28,implies(implies(implies(X29,X28),X26),X27))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f1598,plain,
( ! [X28,X29,X26,X27] :
( ~ theorem(implies(X26,X27))
| theorem(implies(X28,implies(implies(implies(X29,X28),X26),X27))) )
| ~ spl0_116
| ~ spl0_134 ),
inference(resolution,[],[f1440,f1051]) ).
fof(f27335,plain,
( spl0_631
| ~ spl0_115
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1597,f1439,f1046,f27333]) ).
fof(f27333,plain,
( spl0_631
<=> ! [X24,X23,X25,X22] :
( ~ theorem(implies(X22,X23))
| theorem(implies(X24,implies(implies(or(X25,X24),X22),X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f1597,plain,
( ! [X24,X22,X25,X23] :
( ~ theorem(implies(X22,X23))
| theorem(implies(X24,implies(implies(or(X25,X24),X22),X23))) )
| ~ spl0_115
| ~ spl0_134 ),
inference(resolution,[],[f1440,f1047]) ).
fof(f27275,plain,
( spl0_630
| ~ spl0_109
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1593,f1439,f1018,f27273]) ).
fof(f27273,plain,
( spl0_630
<=> ! [X10,X7,X9,X8] :
( ~ theorem(implies(X7,X8))
| theorem(or(X9,implies(implies(X10,X7),X8)))
| ~ theorem(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f1593,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(implies(X7,X8))
| theorem(or(X9,implies(implies(X10,X7),X8)))
| ~ theorem(X10) )
| ~ spl0_109
| ~ spl0_134 ),
inference(resolution,[],[f1440,f1019]) ).
fof(f27271,plain,
( spl0_629
| ~ spl0_117
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1592,f1439,f1054,f27269]) ).
fof(f27269,plain,
( spl0_629
<=> ! [X5,X4,X6,X3] :
( ~ theorem(implies(X3,X4))
| theorem(implies(X5,implies(implies(X6,X3),X4)))
| ~ theorem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f1592,plain,
( ! [X3,X6,X4,X5] :
( ~ theorem(implies(X3,X4))
| theorem(implies(X5,implies(implies(X6,X3),X4)))
| ~ theorem(X6) )
| ~ spl0_117
| ~ spl0_134 ),
inference(resolution,[],[f1440,f1055]) ).
fof(f27267,plain,
( spl0_628
| ~ spl0_109
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1587,f1435,f1018,f27265]) ).
fof(f27265,plain,
( spl0_628
<=> ! [X10,X11,X13,X12] :
( theorem(or(X10,implies(implies(X11,X12),implies(X13,X12))))
| ~ theorem(implies(X13,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f1587,plain,
( ! [X10,X11,X12,X13] :
( theorem(or(X10,implies(implies(X11,X12),implies(X13,X12))))
| ~ theorem(implies(X13,X11)) )
| ~ spl0_109
| ~ spl0_133 ),
inference(resolution,[],[f1436,f1019]) ).
fof(f27263,plain,
( spl0_627
| ~ spl0_117
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1586,f1435,f1054,f27261]) ).
fof(f27261,plain,
( spl0_627
<=> ! [X9,X7,X6,X8] :
( theorem(implies(X6,implies(implies(X7,X8),implies(X9,X8))))
| ~ theorem(implies(X9,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f1586,plain,
( ! [X8,X6,X9,X7] :
( theorem(implies(X6,implies(implies(X7,X8),implies(X9,X8))))
| ~ theorem(implies(X9,X7)) )
| ~ spl0_117
| ~ spl0_133 ),
inference(resolution,[],[f1436,f1055]) ).
fof(f27259,plain,
( spl0_626
| ~ spl0_109
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1576,f1426,f1018,f27257]) ).
fof(f27257,plain,
( spl0_626
<=> ! [X10,X11,X13,X12] :
( theorem(or(X10,implies(implies(X11,X12),or(X13,X12))))
| ~ theorem(or(X13,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f1576,plain,
( ! [X10,X11,X12,X13] :
( theorem(or(X10,implies(implies(X11,X12),or(X13,X12))))
| ~ theorem(or(X13,X11)) )
| ~ spl0_109
| ~ spl0_131 ),
inference(resolution,[],[f1427,f1019]) ).
fof(f27255,plain,
( spl0_625
| ~ spl0_117
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1575,f1426,f1054,f27253]) ).
fof(f27253,plain,
( spl0_625
<=> ! [X9,X7,X6,X8] :
( theorem(implies(X6,implies(implies(X7,X8),or(X9,X8))))
| ~ theorem(or(X9,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f1575,plain,
( ! [X8,X6,X9,X7] :
( theorem(implies(X6,implies(implies(X7,X8),or(X9,X8))))
| ~ theorem(or(X9,X7)) )
| ~ spl0_117
| ~ spl0_131 ),
inference(resolution,[],[f1427,f1055]) ).
fof(f27251,plain,
( spl0_624
| ~ spl0_109
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1567,f1422,f1018,f27249]) ).
fof(f27249,plain,
( spl0_624
<=> ! [X6,X5,X7] :
( theorem(or(X5,implies(or(implies(X6,X7),implies(X6,X7)),X7)))
| ~ theorem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f1567,plain,
( ! [X6,X7,X5] :
( theorem(or(X5,implies(or(implies(X6,X7),implies(X6,X7)),X7)))
| ~ theorem(X6) )
| ~ spl0_109
| ~ spl0_130 ),
inference(resolution,[],[f1423,f1019]) ).
fof(f27247,plain,
( spl0_623
| ~ spl0_117
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1566,f1422,f1054,f27245]) ).
fof(f27245,plain,
( spl0_623
<=> ! [X4,X2,X3] :
( theorem(implies(X2,implies(or(implies(X3,X4),implies(X3,X4)),X4)))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f1566,plain,
( ! [X2,X3,X4] :
( theorem(implies(X2,implies(or(implies(X3,X4),implies(X3,X4)),X4)))
| ~ theorem(X3) )
| ~ spl0_117
| ~ spl0_130 ),
inference(resolution,[],[f1423,f1055]) ).
fof(f27243,plain,
( spl0_622
| ~ spl0_116
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1560,f1418,f1050,f27241]) ).
fof(f27241,plain,
( spl0_622
<=> ! [X29,X27,X28,X26] : theorem(implies(X26,implies(or(X27,implies(implies(X28,X26),X29)),or(X27,X29)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f1560,plain,
( ! [X28,X29,X26,X27] : theorem(implies(X26,implies(or(X27,implies(implies(X28,X26),X29)),or(X27,X29))))
| ~ spl0_116
| ~ spl0_129 ),
inference(resolution,[],[f1419,f1051]) ).
fof(f27239,plain,
( spl0_621
| ~ spl0_115
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1559,f1418,f1046,f27237]) ).
fof(f27237,plain,
( spl0_621
<=> ! [X24,X23,X25,X22] : theorem(implies(X22,implies(or(X23,implies(or(X24,X22),X25)),or(X23,X25)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f1559,plain,
( ! [X24,X22,X25,X23] : theorem(implies(X22,implies(or(X23,implies(or(X24,X22),X25)),or(X23,X25))))
| ~ spl0_115
| ~ spl0_129 ),
inference(resolution,[],[f1419,f1047]) ).
fof(f27232,plain,
( spl0_620
| ~ spl0_109
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1555,f1418,f1018,f27230]) ).
fof(f27230,plain,
( spl0_620
<=> ! [X10,X7,X9,X8] :
( theorem(or(X7,implies(or(X8,implies(X9,X10)),or(X8,X10))))
| ~ theorem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f1555,plain,
( ! [X10,X8,X9,X7] :
( theorem(or(X7,implies(or(X8,implies(X9,X10)),or(X8,X10))))
| ~ theorem(X9) )
| ~ spl0_109
| ~ spl0_129 ),
inference(resolution,[],[f1419,f1019]) ).
fof(f27228,plain,
( spl0_619
| ~ spl0_117
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1554,f1418,f1054,f27226]) ).
fof(f27226,plain,
( spl0_619
<=> ! [X5,X4,X6,X3] :
( theorem(implies(X3,implies(or(X4,implies(X5,X6)),or(X4,X6))))
| ~ theorem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f1554,plain,
( ! [X3,X6,X4,X5] :
( theorem(implies(X3,implies(or(X4,implies(X5,X6)),or(X4,X6))))
| ~ theorem(X5) )
| ~ spl0_117
| ~ spl0_129 ),
inference(resolution,[],[f1419,f1055]) ).
fof(f27224,plain,
( spl0_618
| ~ spl0_59
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1537,f1414,f422,f27222]) ).
fof(f27222,plain,
( spl0_618
<=> ! [X73,X71,X70,X72] :
( theorem(or(or(X70,implies(X71,X72)),X73))
| ~ theorem(or(or(X73,X73),X72)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f1537,plain,
( ! [X72,X70,X73,X71] :
( theorem(or(or(X70,implies(X71,X72)),X73))
| ~ theorem(or(or(X73,X73),X72)) )
| ~ spl0_59
| ~ spl0_128 ),
inference(resolution,[],[f1415,f423]) ).
fof(f27220,plain,
( spl0_617
| ~ spl0_43
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1526,f1414,f289,f27218]) ).
fof(f27218,plain,
( spl0_617
<=> ! [X31,X29,X28,X30] :
( theorem(or(or(X28,or(X29,X30)),X31))
| ~ theorem(or(or(X31,X31),X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f1526,plain,
( ! [X31,X28,X29,X30] :
( theorem(or(or(X28,or(X29,X30)),X31))
| ~ theorem(or(or(X31,X31),X30)) )
| ~ spl0_43
| ~ spl0_128 ),
inference(resolution,[],[f1415,f290]) ).
fof(f27216,plain,
( spl0_616
| ~ spl0_111
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1523,f1414,f1030,f27214]) ).
fof(f27214,plain,
( spl0_616
<=> ! [X18,X17,X16,X19] :
( theorem(or(or(X16,or(X17,X18)),X19))
| ~ theorem(or(or(X19,X19),X17)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f1523,plain,
( ! [X18,X19,X16,X17] :
( theorem(or(or(X16,or(X17,X18)),X19))
| ~ theorem(or(or(X19,X19),X17)) )
| ~ spl0_111
| ~ spl0_128 ),
inference(resolution,[],[f1415,f1031]) ).
fof(f27212,plain,
( spl0_615
| ~ spl0_124
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1387,f1337,f1331,f27210]) ).
fof(f27210,plain,
( spl0_615
<=> ! [X28,X27,X25,X26] :
( ~ theorem(or(X25,not(X26)))
| theorem(or(X25,X27))
| ~ theorem(not(implies(X26,X28))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f1387,plain,
( ! [X28,X26,X27,X25] :
( ~ theorem(or(X25,not(X26)))
| theorem(or(X25,X27))
| ~ theorem(not(implies(X26,X28))) )
| ~ spl0_124
| ~ spl0_125 ),
inference(resolution,[],[f1338,f1332]) ).
fof(f27208,plain,
( spl0_614
| ~ spl0_76
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1317,f1074,f639,f27206]) ).
fof(f27206,plain,
( spl0_614
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(implies(implies(or(X4,X6),X6),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f1074,plain,
( spl0_122
<=> ! [X9,X8,X7] : theorem(or(X7,or(X8,implies(or(X8,X9),X9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1317,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(implies(implies(or(X4,X6),X6),X5)) )
| ~ spl0_76
| ~ spl0_122 ),
inference(resolution,[],[f1075,f640]) ).
fof(f1075,plain,
( ! [X8,X9,X7] : theorem(or(X7,or(X8,implies(or(X8,X9),X9))))
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f27204,plain,
( spl0_613
| ~ spl0_82
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1308,f1070,f663,f27202]) ).
fof(f27202,plain,
( spl0_613
<=> ! [X5,X4,X6,X3] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(implies(implies(implies(X4,X6),X6),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f1308,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(implies(implies(implies(X4,X6),X6),X5)) )
| ~ spl0_82
| ~ spl0_121 ),
inference(resolution,[],[f1071,f664]) ).
fof(f27200,plain,
( spl0_612
| ~ spl0_82
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1298,f1062,f663,f27198]) ).
fof(f27198,plain,
( spl0_612
<=> ! [X5,X4,X7,X6,X8] :
( ~ theorem(X4)
| theorem(or(X5,implies(X6,X7)))
| ~ theorem(implies(or(X4,X8),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f1062,plain,
( spl0_119
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,implies(X1,or(X2,X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1298,plain,
( ! [X8,X6,X7,X4,X5] :
( ~ theorem(X4)
| theorem(or(X5,implies(X6,X7)))
| ~ theorem(implies(or(X4,X8),X7)) )
| ~ spl0_82
| ~ spl0_119 ),
inference(resolution,[],[f1063,f664]) ).
fof(f1063,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,implies(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f27196,plain,
( spl0_611
| ~ spl0_76
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1286,f1058,f639,f27194]) ).
fof(f27194,plain,
( spl0_611
<=> ! [X10,X11,X7,X9,X8] :
( ~ theorem(X7)
| theorem(or(X8,or(X9,X10)))
| ~ theorem(implies(or(X7,X11),X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f1058,plain,
( spl0_118
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f1286,plain,
( ! [X10,X11,X8,X9,X7] :
( ~ theorem(X7)
| theorem(or(X8,or(X9,X10)))
| ~ theorem(implies(or(X7,X11),X10)) )
| ~ spl0_76
| ~ spl0_118 ),
inference(resolution,[],[f1059,f640]) ).
fof(f1059,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f27190,plain,
( spl0_610
| ~ spl0_33
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1283,f1054,f211,f27188]) ).
fof(f1283,plain,
( ! [X90,X91,X92,X93] :
( theorem(implies(X90,or(X91,implies(X92,X93))))
| ~ theorem(implies(X92,or(X91,X93))) )
| ~ spl0_33
| ~ spl0_117 ),
inference(resolution,[],[f1055,f212]) ).
fof(f27186,plain,
( spl0_609
| ~ spl0_46
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1280,f1054,f308,f27184]) ).
fof(f27184,plain,
( spl0_609
<=> ! [X81,X84,X82,X83] :
( theorem(implies(X81,implies(X82,implies(X83,X84))))
| ~ theorem(implies(X83,implies(X82,X84))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f1280,plain,
( ! [X82,X83,X81,X84] :
( theorem(implies(X81,implies(X82,implies(X83,X84))))
| ~ theorem(implies(X83,implies(X82,X84))) )
| ~ spl0_46
| ~ spl0_117 ),
inference(resolution,[],[f1055,f309]) ).
fof(f27182,plain,
( spl0_608
| ~ spl0_48
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1278,f1054,f318,f27180]) ).
fof(f27180,plain,
( spl0_608
<=> ! [X75,X74,X77,X76] :
( theorem(implies(X74,implies(X75,X76)))
| ~ theorem(implies(X75,X77))
| ~ theorem(implies(X77,X76)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f1278,plain,
( ! [X76,X77,X74,X75] :
( theorem(implies(X74,implies(X75,X76)))
| ~ theorem(implies(X75,X77))
| ~ theorem(implies(X77,X76)) )
| ~ spl0_48
| ~ spl0_117 ),
inference(resolution,[],[f1055,f319]) ).
fof(f27178,plain,
( spl0_607
| ~ spl0_36
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1277,f1054,f223,f27176]) ).
fof(f27176,plain,
( spl0_607
<=> ! [X73,X71,X70,X72] :
( theorem(implies(X70,implies(implies(X71,X72),implies(X71,X73))))
| ~ theorem(implies(X72,X73)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f1277,plain,
( ! [X72,X70,X73,X71] :
( theorem(implies(X70,implies(implies(X71,X72),implies(X71,X73))))
| ~ theorem(implies(X72,X73)) )
| ~ spl0_36
| ~ spl0_117 ),
inference(resolution,[],[f1055,f224]) ).
fof(f27174,plain,
( spl0_606
| ~ spl0_21
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1276,f1054,f126,f27172]) ).
fof(f27172,plain,
( spl0_606
<=> ! [X68,X69,X67,X66] :
( theorem(implies(X66,implies(or(X67,X68),or(X67,X69))))
| ~ theorem(implies(X68,X69)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f1276,plain,
( ! [X68,X69,X66,X67] :
( theorem(implies(X66,implies(or(X67,X68),or(X67,X69))))
| ~ theorem(implies(X68,X69)) )
| ~ spl0_21
| ~ spl0_117 ),
inference(resolution,[],[f1055,f127]) ).
fof(f27170,plain,
( spl0_605
| ~ spl0_32
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1261,f1054,f207,f27168]) ).
fof(f27168,plain,
( spl0_605
<=> ! [X19,X20,X21,X22] :
( theorem(implies(X19,implies(X20,or(X21,X22))))
| ~ theorem(or(X21,implies(X20,X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f1261,plain,
( ! [X21,X19,X22,X20] :
( theorem(implies(X19,implies(X20,or(X21,X22))))
| ~ theorem(or(X21,implies(X20,X22))) )
| ~ spl0_32
| ~ spl0_117 ),
inference(resolution,[],[f1055,f208]) ).
fof(f27166,plain,
( spl0_604
| ~ spl0_35
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1259,f1054,f219,f27164]) ).
fof(f27164,plain,
( spl0_604
<=> ! [X13,X14,X12,X15] :
( theorem(implies(X12,or(X13,X14)))
| ~ theorem(or(X13,X15))
| ~ theorem(implies(X15,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f1259,plain,
( ! [X14,X15,X12,X13] :
( theorem(implies(X12,or(X13,X14)))
| ~ theorem(or(X13,X15))
| ~ theorem(implies(X15,X14)) )
| ~ spl0_35
| ~ spl0_117 ),
inference(resolution,[],[f1055,f220]) ).
fof(f27162,plain,
( spl0_603
| ~ spl0_17
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1258,f1054,f110,f27160]) ).
fof(f27160,plain,
( spl0_603
<=> ! [X10,X11,X9,X8] :
( theorem(implies(X8,or(X9,or(X10,X11))))
| ~ theorem(or(X10,or(X9,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f1258,plain,
( ! [X10,X11,X8,X9] :
( theorem(implies(X8,or(X9,or(X10,X11))))
| ~ theorem(or(X10,or(X9,X11))) )
| ~ spl0_17
| ~ spl0_117 ),
inference(resolution,[],[f1055,f111]) ).
fof(f27158,plain,
( spl0_602
| ~ spl0_113
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1207,f1042,f1038,f27156]) ).
fof(f27156,plain,
( spl0_602
<=> ! [X20,X19] :
( ~ theorem(implies(X19,not(or(X19,X19))))
| theorem(or(X20,not(or(X19,X19)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f1207,plain,
( ! [X19,X20] :
( ~ theorem(implies(X19,not(or(X19,X19))))
| theorem(or(X20,not(or(X19,X19)))) )
| ~ spl0_113
| ~ spl0_114 ),
inference(resolution,[],[f1043,f1039]) ).
fof(f27154,plain,
( spl0_601
| ~ spl0_63
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1206,f1042,f479,f27152]) ).
fof(f27152,plain,
( spl0_601
<=> ! [X18,X16,X17] :
( ~ theorem(implies(X16,implies(X17,X18)))
| theorem(implies(X17,implies(or(X16,X16),X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f1206,plain,
( ! [X18,X16,X17] :
( ~ theorem(implies(X16,implies(X17,X18)))
| theorem(implies(X17,implies(or(X16,X16),X18))) )
| ~ spl0_63
| ~ spl0_114 ),
inference(resolution,[],[f1043,f480]) ).
fof(f27150,plain,
( ~ spl0_600
| ~ spl0_338
| spl0_577 ),
inference(avatar_split_clause,[],[f27055,f26641,f11010,f27147]) ).
fof(f27147,plain,
( spl0_600
<=> theorem(or(r,not(implies(or(p,q),or(p,r))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f11010,plain,
( spl0_338
<=> ! [X18,X16,X17] :
( theorem(implies(X16,implies(X17,X18)))
| ~ theorem(or(X18,not(X17))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f26641,plain,
( spl0_577
<=> theorem(implies(q,implies(implies(or(p,q),or(p,r)),r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f27055,plain,
( ~ theorem(or(r,not(implies(or(p,q),or(p,r)))))
| ~ spl0_338
| spl0_577 ),
inference(resolution,[],[f26643,f11011]) ).
fof(f11011,plain,
( ! [X18,X16,X17] :
( theorem(implies(X16,implies(X17,X18)))
| ~ theorem(or(X18,not(X17))) )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f11010]) ).
fof(f26643,plain,
( ~ theorem(implies(q,implies(implies(or(p,q),or(p,r)),r)))
| spl0_577 ),
inference(avatar_component_clause,[],[f26641]) ).
fof(f27145,plain,
( spl0_599
| ~ spl0_45
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1204,f1042,f304,f27143]) ).
fof(f27143,plain,
( spl0_599
<=> ! [X13,X12,X11] :
( ~ theorem(implies(X11,or(X12,X13)))
| theorem(or(X12,implies(or(X11,X11),X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f1204,plain,
( ! [X11,X12,X13] :
( ~ theorem(implies(X11,or(X12,X13)))
| theorem(or(X12,implies(or(X11,X11),X13))) )
| ~ spl0_45
| ~ spl0_114 ),
inference(resolution,[],[f1043,f305]) ).
fof(f27141,plain,
( spl0_598
| ~ spl0_47
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1202,f1042,f312,f27139]) ).
fof(f27139,plain,
( spl0_598
<=> ! [X6,X7,X8] :
( ~ theorem(implies(X6,X7))
| theorem(or(X8,X7))
| ~ theorem(or(X8,or(X6,X6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f1202,plain,
( ! [X8,X6,X7] :
( ~ theorem(implies(X6,X7))
| theorem(or(X8,X7))
| ~ theorem(or(X8,or(X6,X6))) )
| ~ spl0_47
| ~ spl0_114 ),
inference(resolution,[],[f1043,f313]) ).
fof(f27137,plain,
( spl0_597
| ~ spl0_70
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1201,f1042,f507,f27135]) ).
fof(f27135,plain,
( spl0_597
<=> ! [X4,X5,X3] :
( ~ theorem(implies(X3,X4))
| theorem(implies(or(X3,X3),X5))
| ~ theorem(implies(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f1201,plain,
( ! [X3,X4,X5] :
( ~ theorem(implies(X3,X4))
| theorem(implies(or(X3,X3),X5))
| ~ theorem(implies(X4,X5)) )
| ~ spl0_70
| ~ spl0_114 ),
inference(resolution,[],[f1043,f508]) ).
fof(f27133,plain,
( spl0_596
| ~ spl0_77
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1183,f1034,f643,f27131]) ).
fof(f27131,plain,
( spl0_596
<=> ! [X18,X16,X17,X19] :
( ~ theorem(or(implies(X16,X17),X18))
| theorem(or(X19,implies(X16,or(X18,X17)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f1034,plain,
( spl0_112
<=> ! [X9,X11,X10] :
( theorem(or(X9,or(X10,X11)))
| ~ theorem(or(X11,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1183,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(or(implies(X16,X17),X18))
| theorem(or(X19,implies(X16,or(X18,X17)))) )
| ~ spl0_77
| ~ spl0_112 ),
inference(resolution,[],[f1035,f644]) ).
fof(f1035,plain,
( ! [X10,X11,X9] :
( theorem(or(X9,or(X10,X11)))
| ~ theorem(or(X11,X10)) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f27129,plain,
( spl0_595
| ~ spl0_75
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1182,f1034,f635,f27127]) ).
fof(f27127,plain,
( spl0_595
<=> ! [X13,X12,X14,X15] :
( ~ theorem(or(or(X12,X13),X14))
| theorem(or(X15,or(X12,or(X14,X13)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f1182,plain,
( ! [X14,X15,X12,X13] :
( ~ theorem(or(or(X12,X13),X14))
| theorem(or(X15,or(X12,or(X14,X13)))) )
| ~ spl0_75
| ~ spl0_112 ),
inference(resolution,[],[f1035,f636]) ).
fof(f27125,plain,
( spl0_594
| ~ spl0_76
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1179,f1034,f639,f27123]) ).
fof(f27123,plain,
( spl0_594
<=> ! [X3,X4,X5,X2] :
( ~ theorem(or(X2,X3))
| theorem(or(X4,or(X3,X5)))
| ~ theorem(implies(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f1179,plain,
( ! [X2,X3,X4,X5] :
( ~ theorem(or(X2,X3))
| theorem(or(X4,or(X3,X5)))
| ~ theorem(implies(X2,X5)) )
| ~ spl0_76
| ~ spl0_112 ),
inference(resolution,[],[f1035,f640]) ).
fof(f27121,plain,
( spl0_593
| ~ spl0_106
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1174,f1030,f1006,f27119]) ).
fof(f27119,plain,
( spl0_593
<=> ! [X34,X36,X35] :
( ~ theorem(or(implies(X34,or(X35,X36)),X35))
| theorem(implies(X34,or(X35,X36))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f1174,plain,
( ! [X36,X34,X35] :
( ~ theorem(or(implies(X34,or(X35,X36)),X35))
| theorem(implies(X34,or(X35,X36))) )
| ~ spl0_106
| ~ spl0_111 ),
inference(resolution,[],[f1031,f1007]) ).
fof(f27117,plain,
( spl0_592
| ~ spl0_57
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1173,f1030,f414,f27115]) ).
fof(f27115,plain,
( spl0_592
<=> ! [X32,X31,X33] :
( ~ theorem(or(or(X31,or(X32,X33)),X32))
| theorem(or(X31,or(X32,X33))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f1173,plain,
( ! [X31,X32,X33] :
( ~ theorem(or(or(X31,or(X32,X33)),X32))
| theorem(or(X31,or(X32,X33))) )
| ~ spl0_57
| ~ spl0_111 ),
inference(resolution,[],[f1031,f415]) ).
fof(f27113,plain,
( spl0_591
| ~ spl0_36
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1143,f1018,f223,f27111]) ).
fof(f27111,plain,
( spl0_591
<=> ! [X69,X70,X67,X68] :
( theorem(or(X67,implies(implies(X68,X69),implies(X68,X70))))
| ~ theorem(implies(X69,X70)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f1143,plain,
( ! [X70,X68,X69,X67] :
( theorem(or(X67,implies(implies(X68,X69),implies(X68,X70))))
| ~ theorem(implies(X69,X70)) )
| ~ spl0_36
| ~ spl0_109 ),
inference(resolution,[],[f1019,f224]) ).
fof(f27109,plain,
( spl0_590
| ~ spl0_21
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1142,f1018,f126,f27107]) ).
fof(f27107,plain,
( spl0_590
<=> ! [X65,X64,X63,X66] :
( theorem(or(X63,implies(or(X64,X65),or(X64,X66))))
| ~ theorem(implies(X65,X66)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f1142,plain,
( ! [X65,X63,X66,X64] :
( theorem(or(X63,implies(or(X64,X65),or(X64,X66))))
| ~ theorem(implies(X65,X66)) )
| ~ spl0_21
| ~ spl0_109 ),
inference(resolution,[],[f1019,f127]) ).
fof(f27105,plain,
( ~ spl0_589
| ~ spl0_354
| spl0_577 ),
inference(avatar_split_clause,[],[f27054,f26641,f16743,f27102]) ).
fof(f27102,plain,
( spl0_589
<=> theorem(implies(q,not(implies(or(p,q),or(p,r))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f27054,plain,
( ~ theorem(implies(q,not(implies(or(p,q),or(p,r)))))
| ~ spl0_354
| spl0_577 ),
inference(resolution,[],[f26643,f16744]) ).
fof(f27100,plain,
( spl0_588
| ~ spl0_70
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1119,f1014,f507,f27098]) ).
fof(f27098,plain,
( spl0_588
<=> ! [X6,X4,X5,X3] :
( ~ theorem(implies(X3,X4))
| theorem(implies(X3,X5))
| ~ theorem(implies(implies(X6,X4),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f1119,plain,
( ! [X3,X6,X4,X5] :
( ~ theorem(implies(X3,X4))
| theorem(implies(X3,X5))
| ~ theorem(implies(implies(X6,X4),X5)) )
| ~ spl0_70
| ~ spl0_108 ),
inference(resolution,[],[f1015,f508]) ).
fof(f27096,plain,
( spl0_587
| ~ spl0_69
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1113,f1010,f503,f27094]) ).
fof(f27094,plain,
( spl0_587
<=> ! [X61,X60,X59] :
( ~ theorem(or(implies(X59,not(X59)),X60))
| theorem(or(implies(X61,X60),not(X59))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f1113,plain,
( ! [X59,X60,X61] :
( ~ theorem(or(implies(X59,not(X59)),X60))
| theorem(or(implies(X61,X60),not(X59))) )
| ~ spl0_69
| ~ spl0_107 ),
inference(resolution,[],[f1011,f504]) ).
fof(f27092,plain,
( spl0_586
| ~ spl0_44
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1110,f1010,f300,f27090]) ).
fof(f27090,plain,
( spl0_586
<=> ! [X48,X47,X46,X45] :
( ~ theorem(or(implies(X45,X46),X47))
| theorem(implies(X45,or(implies(X48,X47),X46))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f1110,plain,
( ! [X48,X46,X47,X45] :
( ~ theorem(or(implies(X45,X46),X47))
| theorem(implies(X45,or(implies(X48,X47),X46))) )
| ~ spl0_44
| ~ spl0_107 ),
inference(resolution,[],[f1011,f301]) ).
fof(f27088,plain,
( spl0_585
| ~ spl0_31
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1105,f1010,f203,f27086]) ).
fof(f27086,plain,
( spl0_585
<=> ! [X24,X23,X25,X22] :
( ~ theorem(or(or(X22,X23),X24))
| theorem(or(X22,or(implies(X25,X24),X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f1105,plain,
( ! [X24,X22,X25,X23] :
( ~ theorem(or(or(X22,X23),X24))
| theorem(or(X22,or(implies(X25,X24),X23))) )
| ~ spl0_31
| ~ spl0_107 ),
inference(resolution,[],[f1011,f204]) ).
fof(f27084,plain,
( spl0_584
| ~ spl0_68
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1104,f1010,f499,f27082]) ).
fof(f27082,plain,
( spl0_584
<=> ! [X20,X18,X21,X19] :
( ~ theorem(or(or(X18,X19),X20))
| theorem(or(implies(X21,X20),or(X19,X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f1104,plain,
( ! [X21,X18,X19,X20] :
( ~ theorem(or(or(X18,X19),X20))
| theorem(or(implies(X21,X20),or(X19,X18))) )
| ~ spl0_68
| ~ spl0_107 ),
inference(resolution,[],[f1011,f500]) ).
fof(f27080,plain,
( spl0_583
| ~ spl0_59
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1093,f1006,f422,f27078]) ).
fof(f27078,plain,
( spl0_583
<=> ! [X29,X27,X28] :
( theorem(implies(X27,implies(X28,X29)))
| ~ theorem(or(implies(X27,implies(X28,X29)),X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f1093,plain,
( ! [X28,X29,X27] :
( theorem(implies(X27,implies(X28,X29)))
| ~ theorem(or(implies(X27,implies(X28,X29)),X29)) )
| ~ spl0_59
| ~ spl0_106 ),
inference(resolution,[],[f1007,f423]) ).
fof(f27076,plain,
( spl0_582
| ~ spl0_43
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1088,f1006,f289,f27074]) ).
fof(f27074,plain,
( spl0_582
<=> ! [X13,X14,X15] :
( theorem(implies(X13,or(X14,X15)))
| ~ theorem(or(implies(X13,or(X14,X15)),X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f1088,plain,
( ! [X14,X15,X13] :
( theorem(implies(X13,or(X14,X15)))
| ~ theorem(or(implies(X13,or(X14,X15)),X15)) )
| ~ spl0_43
| ~ spl0_106 ),
inference(resolution,[],[f1007,f290]) ).
fof(f27072,plain,
( spl0_581
| ~ spl0_47
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1079,f1002,f312,f27070]) ).
fof(f27070,plain,
( spl0_581
<=> ! [X6,X5,X7] :
( theorem(or(X5,implies(implies(X6,not(X7)),not(X6))))
| ~ theorem(or(X5,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f1079,plain,
( ! [X6,X7,X5] :
( theorem(or(X5,implies(implies(X6,not(X7)),not(X6))))
| ~ theorem(or(X5,X7)) )
| ~ spl0_47
| ~ spl0_105 ),
inference(resolution,[],[f1003,f313]) ).
fof(f27068,plain,
( spl0_580
| ~ spl0_70
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1078,f1002,f507,f27066]) ).
fof(f27066,plain,
( spl0_580
<=> ! [X2,X4,X3] :
( theorem(implies(X2,X3))
| ~ theorem(implies(implies(implies(X4,not(X2)),not(X4)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f1078,plain,
( ! [X2,X3,X4] :
( theorem(implies(X2,X3))
| ~ theorem(implies(implies(implies(X4,not(X2)),not(X4)),X3)) )
| ~ spl0_70
| ~ spl0_105 ),
inference(resolution,[],[f1003,f508]) ).
fof(f27064,plain,
( spl0_579
| ~ spl0_72
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f988,f948,f590,f27062]) ).
fof(f27062,plain,
( spl0_579
<=> ! [X24,X22,X23] : theorem(or(implies(implies(X22,or(X23,not(X24))),not(X22)),implies(X24,X23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f988,plain,
( ! [X24,X22,X23] : theorem(or(implies(implies(X22,or(X23,not(X24))),not(X22)),implies(X24,X23)))
| ~ spl0_72
| ~ spl0_102 ),
inference(resolution,[],[f949,f591]) ).
fof(f27053,plain,
( spl0_578
| ~ spl0_74
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f881,f827,f619,f27051]) ).
fof(f27051,plain,
( spl0_578
<=> ! [X43,X44,X42] : theorem(or(implies(or(X42,implies(X43,not(X44))),X42),implies(X44,not(X43)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f881,plain,
( ! [X44,X42,X43] : theorem(or(implies(or(X42,implies(X43,not(X44))),X42),implies(X44,not(X43))))
| ~ spl0_74
| ~ spl0_93 ),
inference(resolution,[],[f828,f620]) ).
fof(f26644,plain,
( ~ spl0_577
| spl0_403
| ~ spl0_559 ),
inference(avatar_split_clause,[],[f26316,f23849,f17967,f26641]) ).
fof(f17967,plain,
( spl0_403
<=> theorem(or(implies(q,r),not(implies(or(p,q),or(p,r))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f23849,plain,
( spl0_559
<=> ! [X29,X30,X31] :
( ~ theorem(implies(X29,implies(X30,X31)))
| theorem(or(implies(X29,X31),not(X30))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f26316,plain,
( ~ theorem(implies(q,implies(implies(or(p,q),or(p,r)),r)))
| spl0_403
| ~ spl0_559 ),
inference(resolution,[],[f23850,f17969]) ).
fof(f17969,plain,
( ~ theorem(or(implies(q,r),not(implies(or(p,q),or(p,r)))))
| spl0_403 ),
inference(avatar_component_clause,[],[f17967]) ).
fof(f23850,plain,
( ! [X31,X29,X30] :
( theorem(or(implies(X29,X31),not(X30)))
| ~ theorem(implies(X29,implies(X30,X31))) )
| ~ spl0_559 ),
inference(avatar_component_clause,[],[f23849]) ).
fof(f24356,plain,
( spl0_576
| ~ spl0_6
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f12531,f11033,f34,f24354]) ).
fof(f24354,plain,
( spl0_576
<=> ! [X0,X1] :
( ~ theorem(not(implies(X0,X1)))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f11033,plain,
( spl0_342
<=> ! [X20,X21] :
( ~ theorem(not(or(X20,X21)))
| ~ theorem(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f12531,plain,
( ! [X0,X1] :
( ~ theorem(not(implies(X0,X1)))
| ~ theorem(not(X0)) )
| ~ spl0_6
| ~ spl0_342 ),
inference(superposition,[],[f11034,f35]) ).
fof(f11034,plain,
( ! [X21,X20] :
( ~ theorem(not(or(X20,X21)))
| ~ theorem(X20) )
| ~ spl0_342 ),
inference(avatar_component_clause,[],[f11033]) ).
fof(f24034,plain,
( spl0_575
| ~ spl0_104
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f9953,f9228,f956,f24032]) ).
fof(f956,plain,
( spl0_104
<=> ! [X9] : theorem(implies(X9,not(not(X9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f9228,plain,
( spl0_290
<=> ! [X9,X10] :
( ~ theorem(implies(X9,X10))
| theorem(X10)
| ~ theorem(or(X9,X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f9953,plain,
( ! [X100] :
( theorem(not(not(X100)))
| ~ theorem(or(X100,X100)) )
| ~ spl0_104
| ~ spl0_290 ),
inference(resolution,[],[f9229,f957]) ).
fof(f957,plain,
( ! [X9] : theorem(implies(X9,not(not(X9))))
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f9229,plain,
( ! [X10,X9] :
( ~ theorem(implies(X9,X10))
| theorem(X10)
| ~ theorem(or(X9,X9)) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f9228]) ).
fof(f23911,plain,
( spl0_574
| ~ spl0_99
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f4174,f4130,f936,f23909]) ).
fof(f23909,plain,
( spl0_574
<=> ! [X38,X40,X39,X37] :
( theorem(or(X37,implies(implies(X38,X39),implies(X38,X40))))
| ~ theorem(not(X39)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f936,plain,
( spl0_99
<=> ! [X6,X8,X7] :
( ~ theorem(not(X6))
| theorem(or(X7,implies(X6,X8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f4174,plain,
( ! [X40,X38,X39,X37] :
( theorem(or(X37,implies(implies(X38,X39),implies(X38,X40))))
| ~ theorem(not(X39)) )
| ~ spl0_99
| ~ spl0_237 ),
inference(resolution,[],[f4131,f937]) ).
fof(f937,plain,
( ! [X8,X6,X7] :
( theorem(or(X7,implies(X6,X8)))
| ~ theorem(not(X6)) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f23907,plain,
( spl0_573
| ~ spl0_99
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f4142,f4126,f936,f23905]) ).
fof(f23905,plain,
( spl0_573
<=> ! [X38,X40,X39,X37] :
( theorem(or(X37,implies(or(X38,X39),or(X38,X40))))
| ~ theorem(not(X39)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f4142,plain,
( ! [X40,X38,X39,X37] :
( theorem(or(X37,implies(or(X38,X39),or(X38,X40))))
| ~ theorem(not(X39)) )
| ~ spl0_99
| ~ spl0_236 ),
inference(resolution,[],[f4127,f937]) ).
fof(f23903,plain,
( spl0_572
| ~ spl0_126
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f4038,f3974,f1341,f23901]) ).
fof(f23901,plain,
( spl0_572
<=> ! [X13,X12,X11] :
( theorem(implies(implies(X11,X12),implies(X11,X13)))
| ~ theorem(or(X13,not(X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f4038,plain,
( ! [X11,X12,X13] :
( theorem(implies(implies(X11,X12),implies(X11,X13)))
| ~ theorem(or(X13,not(X12))) )
| ~ spl0_126
| ~ spl0_233 ),
inference(resolution,[],[f3975,f1342]) ).
fof(f23899,plain,
( spl0_571
| ~ spl0_126
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f3990,f3970,f1341,f23897]) ).
fof(f23897,plain,
( spl0_571
<=> ! [X13,X12,X14] :
( theorem(implies(or(X12,X13),or(X12,X14)))
| ~ theorem(or(X14,not(X13))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f3990,plain,
( ! [X14,X12,X13] :
( theorem(implies(or(X12,X13),or(X12,X14)))
| ~ theorem(or(X14,not(X13))) )
| ~ spl0_126
| ~ spl0_232 ),
inference(resolution,[],[f3971,f1342]) ).
fof(f23895,plain,
( spl0_570
| ~ spl0_54
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f3604,f3600,f385,f23893]) ).
fof(f23893,plain,
( spl0_570
<=> ! [X4,X5,X3] :
( ~ theorem(implies(not(or(X3,X4)),X5))
| theorem(or(X4,or(X3,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f3604,plain,
( ! [X3,X4,X5] :
( ~ theorem(implies(not(or(X3,X4)),X5))
| theorem(or(X4,or(X3,X5))) )
| ~ spl0_54
| ~ spl0_220 ),
inference(resolution,[],[f3601,f386]) ).
fof(f23891,plain,
( spl0_569
| ~ spl0_28
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f3585,f2881,f186,f23889]) ).
fof(f23889,plain,
( spl0_569
<=> ! [X57,X56,X58] :
( theorem(implies(or(X56,not(X57)),implies(X57,X58)))
| ~ theorem(implies(X56,X58)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f3585,plain,
( ! [X58,X56,X57] :
( theorem(implies(or(X56,not(X57)),implies(X57,X58)))
| ~ theorem(implies(X56,X58)) )
| ~ spl0_28
| ~ spl0_218 ),
inference(resolution,[],[f2882,f187]) ).
fof(f23887,plain,
( spl0_568
| ~ spl0_28
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f3444,f2861,f186,f23885]) ).
fof(f23885,plain,
( spl0_568
<=> ! [X2,X0,X1] : theorem(implies(or(or(X0,X1),not(X2)),or(X0,implies(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f2861,plain,
( spl0_213
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,or(X2,implies(X1,X3))))
| ~ theorem(implies(X0,implies(X1,or(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f3444,plain,
( ! [X2,X0,X1] : theorem(implies(or(or(X0,X1),not(X2)),or(X0,implies(X2,X1))))
| ~ spl0_28
| ~ spl0_213 ),
inference(resolution,[],[f2862,f187]) ).
fof(f2862,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X1,or(X2,X3))))
| theorem(implies(X0,or(X2,implies(X1,X3)))) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f2861]) ).
fof(f23883,plain,
( spl0_567
| ~ spl0_28
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f3388,f2845,f186,f23881]) ).
fof(f23881,plain,
( spl0_567
<=> ! [X2,X0,X1] : theorem(implies(or(implies(X0,X1),not(X2)),implies(X0,implies(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f2845,plain,
( spl0_209
<=> ! [X0,X3,X2,X1] :
( theorem(implies(X0,implies(X2,implies(X1,X3))))
| ~ theorem(implies(X0,implies(X1,implies(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f3388,plain,
( ! [X2,X0,X1] : theorem(implies(or(implies(X0,X1),not(X2)),implies(X0,implies(X2,X1))))
| ~ spl0_28
| ~ spl0_209 ),
inference(resolution,[],[f2846,f187]) ).
fof(f2846,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X1,implies(X2,X3))))
| theorem(implies(X0,implies(X2,implies(X1,X3)))) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f2845]) ).
fof(f23879,plain,
( spl0_566
| ~ spl0_284
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f9747,f9188,f9184,f23877]) ).
fof(f23877,plain,
( spl0_566
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f9184,plain,
( spl0_284
<=> ! [X27,X26] :
( ~ theorem(or(or(X26,X27),X26))
| theorem(or(X26,X27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f9188,plain,
( spl0_285
<=> ! [X29,X28,X30] :
( ~ theorem(or(X28,X29))
| theorem(or(or(X29,X30),X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f9747,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X0,X1)) )
| ~ spl0_284
| ~ spl0_285 ),
inference(resolution,[],[f9189,f9185]) ).
fof(f9185,plain,
( ! [X26,X27] :
( ~ theorem(or(or(X26,X27),X26))
| theorem(or(X26,X27)) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f9184]) ).
fof(f9189,plain,
( ! [X28,X29,X30] :
( theorem(or(or(X29,X30),X28))
| ~ theorem(or(X28,X29)) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f9188]) ).
fof(f23875,plain,
( spl0_565
| ~ spl0_27
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3083,f2778,f182,f23873]) ).
fof(f23873,plain,
( spl0_565
<=> ! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),or(implies(X0,X2),not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f3083,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),or(implies(X0,X2),not(X1))))
| ~ spl0_27
| ~ spl0_195 ),
inference(resolution,[],[f2779,f183]) ).
fof(f23871,plain,
( spl0_564
| ~ spl0_27
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3053,f2774,f182,f23869]) ).
fof(f23869,plain,
( spl0_564
<=> ! [X4,X5,X3] :
( theorem(implies(implies(X3,X4),or(X5,not(X3))))
| ~ theorem(implies(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f3053,plain,
( ! [X3,X4,X5] :
( theorem(implies(implies(X3,X4),or(X5,not(X3))))
| ~ theorem(implies(X4,X5)) )
| ~ spl0_27
| ~ spl0_194 ),
inference(resolution,[],[f2775,f183]) ).
fof(f23867,plain,
( spl0_563
| ~ spl0_27
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3025,f2770,f182,f23865]) ).
fof(f23865,plain,
( spl0_563
<=> ! [X2,X0,X1] : theorem(implies(implies(X0,X1),or(implies(X2,X1),not(implies(X2,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f3025,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,X1),or(implies(X2,X1),not(implies(X2,X0)))))
| ~ spl0_27
| ~ spl0_193 ),
inference(resolution,[],[f2771,f183]) ).
fof(f23863,plain,
( spl0_562
| ~ spl0_27
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2977,f2766,f182,f23861]) ).
fof(f23861,plain,
( spl0_562
<=> ! [X4,X5,X3] : theorem(implies(implies(X3,X4),or(or(X5,X4),not(or(X5,X3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f2977,plain,
( ! [X3,X4,X5] : theorem(implies(implies(X3,X4),or(or(X5,X4),not(or(X5,X3)))))
| ~ spl0_27
| ~ spl0_192 ),
inference(resolution,[],[f2767,f183]) ).
fof(f23859,plain,
( spl0_561
| ~ spl0_27
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f2948,f2758,f182,f23857]) ).
fof(f23857,plain,
( spl0_561
<=> ! [X4,X5,X3] : theorem(implies(or(X3,implies(X4,X5)),or(or(X3,X5),not(X4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f2948,plain,
( ! [X3,X4,X5] : theorem(implies(or(X3,implies(X4,X5)),or(or(X3,X5),not(X4))))
| ~ spl0_27
| ~ spl0_190 ),
inference(resolution,[],[f2759,f183]) ).
fof(f23855,plain,
( spl0_560
| ~ spl0_50
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2685,f2130,f363,f23853]) ).
fof(f23853,plain,
( spl0_560
<=> ! [X44,X43,X46,X45] :
( theorem(or(X43,implies(X44,X45)))
| ~ theorem(implies(X44,X46))
| ~ theorem(not(X46)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f2685,plain,
( ! [X46,X44,X45,X43] :
( theorem(or(X43,implies(X44,X45)))
| ~ theorem(implies(X44,X46))
| ~ theorem(not(X46)) )
| ~ spl0_50
| ~ spl0_184 ),
inference(resolution,[],[f2131,f364]) ).
fof(f23851,plain,
( spl0_559
| ~ spl0_171
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f2589,f2114,f2062,f23849]) ).
fof(f2589,plain,
( ! [X31,X29,X30] :
( ~ theorem(implies(X29,implies(X30,X31)))
| theorem(or(implies(X29,X31),not(X30))) )
| ~ spl0_171
| ~ spl0_180 ),
inference(resolution,[],[f2115,f2063]) ).
fof(f23847,plain,
( spl0_558
| ~ spl0_171
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f2556,f2106,f2062,f23845]) ).
fof(f23845,plain,
( spl0_558
<=> ! [X29,X30,X31] :
( ~ theorem(or(X29,implies(X30,X31)))
| theorem(or(or(X29,X31),not(X30))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f2556,plain,
( ! [X31,X29,X30] :
( ~ theorem(or(X29,implies(X30,X31)))
| theorem(or(or(X29,X31),not(X30))) )
| ~ spl0_171
| ~ spl0_178 ),
inference(resolution,[],[f2107,f2063]) ).
fof(f23843,plain,
( spl0_557
| ~ spl0_50
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2502,f2098,f363,f23841]) ).
fof(f23841,plain,
( spl0_557
<=> ! [X44,X43,X46,X45] :
( theorem(or(X43,or(X44,X45)))
| ~ theorem(or(X44,X46))
| ~ theorem(not(X46)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f2502,plain,
( ! [X46,X44,X45,X43] :
( theorem(or(X43,or(X44,X45)))
| ~ theorem(or(X44,X46))
| ~ theorem(not(X46)) )
| ~ spl0_50
| ~ spl0_176 ),
inference(resolution,[],[f2099,f364]) ).
fof(f23839,plain,
( spl0_556
| ~ spl0_157
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f2393,f2062,f1875,f23837]) ).
fof(f23837,plain,
( spl0_556
<=> ! [X0,X1] :
( theorem(or(X0,not(X1)))
| ~ theorem(or(implies(X1,X0),implies(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f2393,plain,
( ! [X0,X1] :
( theorem(or(X0,not(X1)))
| ~ theorem(or(implies(X1,X0),implies(X1,X0))) )
| ~ spl0_157
| ~ spl0_171 ),
inference(resolution,[],[f2063,f1876]) ).
fof(f23835,plain,
( spl0_555
| ~ spl0_106
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f9509,f5084,f1006,f23833]) ).
fof(f23833,plain,
( spl0_555
<=> ! [X0] : theorem(implies(or(X0,or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f5084,plain,
( spl0_273
<=> ! [X2,X3] : theorem(or(implies(or(X2,or(X3,X3)),X2),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f9509,plain,
( ! [X0] : theorem(implies(or(X0,or(X0,X0)),X0))
| ~ spl0_106
| ~ spl0_273 ),
inference(resolution,[],[f5085,f1007]) ).
fof(f5085,plain,
( ! [X2,X3] : theorem(or(implies(or(X2,or(X3,X3)),X2),X3))
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f5084]) ).
fof(f23831,plain,
( spl0_554
| ~ spl0_50
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2372,f2058,f363,f23829]) ).
fof(f23829,plain,
( spl0_554
<=> ! [X22,X21,X23] :
( theorem(implies(implies(X21,not(X22)),X23))
| ~ theorem(not(implies(X22,not(X21)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f2372,plain,
( ! [X21,X22,X23] :
( theorem(implies(implies(X21,not(X22)),X23))
| ~ theorem(not(implies(X22,not(X21)))) )
| ~ spl0_50
| ~ spl0_170 ),
inference(resolution,[],[f2059,f364]) ).
fof(f23827,plain,
( spl0_553
| ~ spl0_50
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2342,f2054,f363,f23825]) ).
fof(f23825,plain,
( spl0_553
<=> ! [X34,X36,X37,X35] :
( theorem(implies(X34,X35))
| ~ theorem(implies(X34,X36))
| ~ theorem(not(or(X37,X36))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f2342,plain,
( ! [X36,X37,X34,X35] :
( theorem(implies(X34,X35))
| ~ theorem(implies(X34,X36))
| ~ theorem(not(or(X37,X36))) )
| ~ spl0_50
| ~ spl0_169 ),
inference(resolution,[],[f2055,f364]) ).
fof(f23823,plain,
( spl0_552
| ~ spl0_126
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2214,f2030,f1341,f23821]) ).
fof(f23821,plain,
( spl0_552
<=> ! [X59,X58,X57,X60] :
( theorem(or(X57,implies(X58,implies(X59,X60))))
| ~ theorem(or(X60,not(X59))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f2214,plain,
( ! [X58,X59,X57,X60] :
( theorem(or(X57,implies(X58,implies(X59,X60))))
| ~ theorem(or(X60,not(X59))) )
| ~ spl0_126
| ~ spl0_163 ),
inference(resolution,[],[f2031,f1342]) ).
fof(f23819,plain,
( spl0_551
| ~ spl0_126
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2147,f2018,f1341,f23817]) ).
fof(f23817,plain,
( spl0_551
<=> ! [X55,X54,X53,X52] :
( theorem(or(X52,or(X53,implies(X54,X55))))
| ~ theorem(or(X55,not(X54))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f2147,plain,
( ! [X54,X55,X52,X53] :
( theorem(or(X52,or(X53,implies(X54,X55))))
| ~ theorem(or(X55,not(X54))) )
| ~ spl0_126
| ~ spl0_160 ),
inference(resolution,[],[f2019,f1342]) ).
fof(f23815,plain,
( spl0_550
| ~ spl0_26
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f2014,f1883,f175,f23813]) ).
fof(f23813,plain,
( spl0_550
<=> ! [X25,X24,X26] :
( ~ theorem(implies(not(X24),X25))
| theorem(or(implies(implies(X24,X26),X25),X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f2014,plain,
( ! [X26,X24,X25] :
( ~ theorem(implies(not(X24),X25))
| theorem(or(implies(implies(X24,X26),X25),X26)) )
| ~ spl0_26
| ~ spl0_159 ),
inference(resolution,[],[f1884,f176]) ).
fof(f23811,plain,
( spl0_549
| ~ spl0_7
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1999,f1879,f38,f23809]) ).
fof(f23809,plain,
( spl0_549
<=> ! [X29,X30,X31] :
( ~ theorem(implies(X29,implies(X30,X31)))
| theorem(or(X31,not(X30)))
| ~ theorem(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f1999,plain,
( ! [X31,X29,X30] :
( ~ theorem(implies(X29,implies(X30,X31)))
| theorem(or(X31,not(X30)))
| ~ theorem(X29) )
| ~ spl0_7
| ~ spl0_158 ),
inference(resolution,[],[f1880,f39]) ).
fof(f23807,plain,
( spl0_548
| ~ spl0_6
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1966,f1871,f34,f23805]) ).
fof(f23805,plain,
( spl0_548
<=> ! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X1,X2)))
| theorem(or(X2,implies(X0,not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f1966,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X1,X2)))
| theorem(or(X2,implies(X0,not(X1)))) )
| ~ spl0_6
| ~ spl0_156 ),
inference(forward_demodulation,[],[f1962,f35]) ).
fof(f1962,plain,
( ! [X2,X0,X1] :
( theorem(or(X2,implies(X0,not(X1))))
| ~ theorem(or(not(X0),implies(X1,X2))) )
| ~ spl0_6
| ~ spl0_156 ),
inference(superposition,[],[f1872,f35]) ).
fof(f23803,plain,
( spl0_547
| ~ spl0_26
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1958,f1871,f175,f23801]) ).
fof(f23801,plain,
( spl0_547
<=> ! [X25,X24,X26] :
( ~ theorem(or(X24,implies(X25,X26)))
| theorem(or(or(X24,not(X25)),X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f1958,plain,
( ! [X26,X24,X25] :
( ~ theorem(or(X24,implies(X25,X26)))
| theorem(or(or(X24,not(X25)),X26)) )
| ~ spl0_26
| ~ spl0_156 ),
inference(resolution,[],[f1872,f176]) ).
fof(f23799,plain,
( spl0_546
| ~ spl0_35
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1936,f1867,f219,f23797]) ).
fof(f23797,plain,
( spl0_546
<=> ! [X2,X3,X4] :
( theorem(implies(or(X2,X3),implies(X4,X2)))
| ~ theorem(implies(X3,not(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f1936,plain,
( ! [X2,X3,X4] :
( theorem(implies(or(X2,X3),implies(X4,X2)))
| ~ theorem(implies(X3,not(X4))) )
| ~ spl0_35
| ~ spl0_155 ),
inference(resolution,[],[f1868,f220]) ).
fof(f23795,plain,
( spl0_545
| ~ spl0_131
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1911,f1863,f1426,f23793]) ).
fof(f23793,plain,
( spl0_545
<=> ! [X13,X14,X15] : theorem(implies(implies(X13,X14),implies(implies(not(X13),X15),or(X14,X15)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f1911,plain,
( ! [X14,X15,X13] : theorem(implies(implies(X13,X14),implies(implies(not(X13),X15),or(X14,X15))))
| ~ spl0_131
| ~ spl0_154 ),
inference(resolution,[],[f1864,f1427]) ).
fof(f23791,plain,
( spl0_544
| ~ spl0_104
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f9429,f5072,f956,f23789]) ).
fof(f5072,plain,
( spl0_270
<=> ! [X2,X4,X3] :
( theorem(implies(X2,X3))
| ~ theorem(implies(implies(X4,X4),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f9429,plain,
( ! [X140,X139] : theorem(implies(X139,not(not(implies(X140,X140)))))
| ~ spl0_104
| ~ spl0_270 ),
inference(resolution,[],[f5073,f957]) ).
fof(f5073,plain,
( ! [X2,X3,X4] :
( ~ theorem(implies(implies(X4,X4),X3))
| theorem(implies(X2,X3)) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f5072]) ).
fof(f23787,plain,
( spl0_543
| ~ spl0_35
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1909,f1863,f219,f23785]) ).
fof(f23785,plain,
( spl0_543
<=> ! [X9,X8,X10] :
( theorem(implies(implies(X8,X9),or(X9,X10)))
| ~ theorem(implies(not(X8),X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f1909,plain,
( ! [X10,X8,X9] :
( theorem(implies(implies(X8,X9),or(X9,X10)))
| ~ theorem(implies(not(X8),X10)) )
| ~ spl0_35
| ~ spl0_154 ),
inference(resolution,[],[f1864,f220]) ).
fof(f23783,plain,
( spl0_542
| ~ spl0_7
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1893,f1859,f38,f23781]) ).
fof(f23781,plain,
( spl0_542
<=> ! [X27,X28,X26] :
( ~ theorem(implies(implies(X26,X27),X28))
| theorem(X28)
| ~ theorem(or(X27,not(X26))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f1893,plain,
( ! [X28,X26,X27] :
( ~ theorem(implies(implies(X26,X27),X28))
| theorem(X28)
| ~ theorem(or(X27,not(X26))) )
| ~ spl0_7
| ~ spl0_153 ),
inference(resolution,[],[f1860,f39]) ).
fof(f23779,plain,
( spl0_541
| ~ spl0_6
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1857,f1508,f34,f23777]) ).
fof(f23777,plain,
( spl0_541
<=> ! [X2,X0,X1] :
( theorem(implies(X0,implies(or(X1,not(X0)),X2)))
| ~ theorem(implies(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f1857,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(or(X1,not(X0)),X2)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_6
| ~ spl0_151 ),
inference(superposition,[],[f1509,f35]) ).
fof(f23775,plain,
( spl0_540
| ~ spl0_6
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1842,f1504,f34,f23773]) ).
fof(f23773,plain,
( spl0_540
<=> ! [X2,X0,X1] : theorem(implies(X0,or(X1,implies(or(or(X1,X2),not(X0)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f1842,plain,
( ! [X2,X0,X1] : theorem(implies(X0,or(X1,implies(or(or(X1,X2),not(X0)),X2))))
| ~ spl0_6
| ~ spl0_150 ),
inference(superposition,[],[f1505,f35]) ).
fof(f23771,plain,
( spl0_539
| ~ spl0_6
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1817,f1496,f34,f23769]) ).
fof(f23769,plain,
( spl0_539
<=> ! [X2,X0,X1] : theorem(implies(X0,implies(X1,implies(or(implies(X1,X2),not(X0)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f1817,plain,
( ! [X2,X0,X1] : theorem(implies(X0,implies(X1,implies(or(implies(X1,X2),not(X0)),X2))))
| ~ spl0_6
| ~ spl0_148 ),
inference(superposition,[],[f1497,f35]) ).
fof(f23767,plain,
( spl0_538
| ~ spl0_101
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1765,f1480,f944,f23765]) ).
fof(f23765,plain,
( spl0_538
<=> ! [X68,X69,X67,X66] :
( theorem(implies(X66,implies(or(X67,not(or(X68,X69))),X67)))
| ~ theorem(X68) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f1765,plain,
( ! [X68,X69,X66,X67] :
( theorem(implies(X66,implies(or(X67,not(or(X68,X69))),X67)))
| ~ theorem(X68) )
| ~ spl0_101
| ~ spl0_144 ),
inference(resolution,[],[f1481,f945]) ).
fof(f23763,plain,
( spl0_537
| ~ spl0_101
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1737,f1471,f944,f23761]) ).
fof(f23761,plain,
( spl0_537
<=> ! [X54,X52,X53] : theorem(implies(or(X52,X53),implies(or(X54,not(or(X53,X52))),X54))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f1737,plain,
( ! [X54,X52,X53] : theorem(implies(or(X52,X53),implies(or(X54,not(or(X53,X52))),X54)))
| ~ spl0_101
| ~ spl0_142 ),
inference(resolution,[],[f1472,f945]) ).
fof(f23759,plain,
( spl0_536
| ~ spl0_8
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1708,f1467,f43,f23757]) ).
fof(f23757,plain,
( spl0_536
<=> ! [X1] : theorem(implies(or(implies(X1,not(X1)),implies(X1,not(X1))),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f1708,plain,
( ! [X1] : theorem(implies(or(implies(X1,not(X1)),implies(X1,not(X1))),not(X1)))
| ~ spl0_8
| ~ spl0_141 ),
inference(resolution,[],[f1468,f44]) ).
fof(f23755,plain,
( spl0_535
| ~ spl0_6
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1685,f1459,f34,f23753]) ).
fof(f23753,plain,
( spl0_535
<=> ! [X2,X0,X1] : theorem(or(implies(implies(X2,implies(X0,X1)),implies(X2,X1)),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f1685,plain,
( ! [X2,X0,X1] : theorem(or(implies(implies(X2,implies(X0,X1)),implies(X2,X1)),not(X0)))
| ~ spl0_6
| ~ spl0_139 ),
inference(superposition,[],[f1460,f35]) ).
fof(f23751,plain,
( spl0_534
| ~ spl0_6
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1666,f1455,f34,f23749]) ).
fof(f23749,plain,
( spl0_534
<=> ! [X0,X1] : theorem(or(implies(or(implies(X0,X1),implies(X0,X1)),X1),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f1666,plain,
( ! [X0,X1] : theorem(or(implies(or(implies(X0,X1),implies(X0,X1)),X1),not(X0)))
| ~ spl0_6
| ~ spl0_138 ),
inference(superposition,[],[f1456,f35]) ).
fof(f23747,plain,
( spl0_533
| ~ spl0_6
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f1647,f1451,f34,f23745]) ).
fof(f23745,plain,
( spl0_533
<=> ! [X2,X0,X1] :
( theorem(or(implies(implies(X0,X1),X2),not(X0)))
| ~ theorem(implies(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f1647,plain,
( ! [X2,X0,X1] :
( theorem(or(implies(implies(X0,X1),X2),not(X0)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_6
| ~ spl0_137 ),
inference(superposition,[],[f1452,f35]) ).
fof(f23743,plain,
( spl0_532
| ~ spl0_6
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1624,f1447,f34,f23741]) ).
fof(f23741,plain,
( spl0_532
<=> ! [X2,X0,X1] : theorem(or(implies(or(X2,implies(X0,X1)),or(X2,X1)),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f1624,plain,
( ! [X2,X0,X1] : theorem(or(implies(or(X2,implies(X0,X1)),or(X2,X1)),not(X0)))
| ~ spl0_6
| ~ spl0_136 ),
inference(superposition,[],[f1448,f35]) ).
fof(f23739,plain,
( spl0_531
| ~ spl0_39
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1548,f1414,f264,f23737]) ).
fof(f23737,plain,
( spl0_531
<=> ! [X116,X114,X115] :
( theorem(or(or(X114,not(X115)),X116))
| ~ theorem(implies(X115,or(X116,X116))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f1548,plain,
( ! [X116,X114,X115] :
( theorem(or(or(X114,not(X115)),X116))
| ~ theorem(implies(X115,or(X116,X116))) )
| ~ spl0_39
| ~ spl0_128 ),
inference(resolution,[],[f1415,f265]) ).
fof(f23735,plain,
( spl0_530
| ~ spl0_103
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1547,f1414,f952,f23733]) ).
fof(f23733,plain,
( spl0_530
<=> ! [X112,X113,X111] : theorem(or(or(X111,implies(X112,not(implies(X112,or(X113,X113))))),X113)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f1547,plain,
( ! [X113,X111,X112] : theorem(or(or(X111,implies(X112,not(implies(X112,or(X113,X113))))),X113))
| ~ spl0_103
| ~ spl0_128 ),
inference(resolution,[],[f1415,f953]) ).
fof(f23731,plain,
( spl0_529
| ~ spl0_55
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1545,f1414,f403,f23729]) ).
fof(f23729,plain,
( spl0_529
<=> ! [X105,X107,X106] : theorem(or(or(X105,implies(implies(X106,or(X107,X107)),not(X106))),X107)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f1545,plain,
( ! [X106,X107,X105] : theorem(or(or(X105,implies(implies(X106,or(X107,X107)),not(X106))),X107))
| ~ spl0_55
| ~ spl0_128 ),
inference(resolution,[],[f1415,f404]) ).
fof(f23727,plain,
( spl0_528
| ~ spl0_126
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1533,f1414,f1341,f23725]) ).
fof(f23725,plain,
( spl0_528
<=> ! [X55,X54,X56,X57] :
( theorem(or(or(X54,implies(X55,X56)),X57))
| ~ theorem(or(X56,not(X55))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f1533,plain,
( ! [X56,X54,X57,X55] :
( theorem(or(or(X54,implies(X55,X56)),X57))
| ~ theorem(or(X56,not(X55))) )
| ~ spl0_126
| ~ spl0_128 ),
inference(resolution,[],[f1415,f1342]) ).
fof(f23723,plain,
( spl0_527
| ~ spl0_95
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1385,f1337,f835,f23721]) ).
fof(f23721,plain,
( spl0_527
<=> ! [X22,X20,X21] :
( ~ theorem(or(implies(X20,X21),not(X20)))
| theorem(or(X22,implies(X20,X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f1385,plain,
( ! [X21,X22,X20] :
( ~ theorem(or(implies(X20,X21),not(X20)))
| theorem(or(X22,implies(X20,X21))) )
| ~ spl0_95
| ~ spl0_125 ),
inference(resolution,[],[f1338,f836]) ).
fof(f23719,plain,
( spl0_526
| ~ spl0_80
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1382,f1337,f655,f23717]) ).
fof(f23717,plain,
( spl0_526
<=> ! [X11,X14,X13,X12] :
( ~ theorem(or(X11,not(X12)))
| theorem(or(X11,implies(X13,implies(X12,X14)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f1382,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(or(X11,not(X12)))
| theorem(or(X11,implies(X13,implies(X12,X14)))) )
| ~ spl0_80
| ~ spl0_125 ),
inference(resolution,[],[f1338,f656]) ).
fof(f23715,plain,
( spl0_525
| ~ spl0_81
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1381,f1337,f659,f23713]) ).
fof(f23713,plain,
( spl0_525
<=> ! [X10,X7,X9,X8] :
( ~ theorem(or(X7,not(X8)))
| theorem(or(X7,or(X9,implies(X8,X10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f1381,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(or(X7,not(X8)))
| theorem(or(X7,or(X9,implies(X8,X10)))) )
| ~ spl0_81
| ~ spl0_125 ),
inference(resolution,[],[f1338,f660]) ).
fof(f23711,plain,
( spl0_524
| ~ spl0_107
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1376,f1331,f1010,f23709]) ).
fof(f23709,plain,
( spl0_524
<=> ! [X123,X121,X120,X122] :
( theorem(or(implies(X120,X121),X122))
| ~ theorem(not(X123))
| ~ theorem(or(X123,X121)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f1376,plain,
( ! [X120,X121,X122,X123] :
( theorem(or(implies(X120,X121),X122))
| ~ theorem(not(X123))
| ~ theorem(or(X123,X121)) )
| ~ spl0_107
| ~ spl0_124 ),
inference(resolution,[],[f1332,f1011]) ).
fof(f23707,plain,
( spl0_523
| ~ spl0_58
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1372,f1331,f418,f23705]) ).
fof(f23705,plain,
( spl0_523
<=> ! [X108,X110,X107,X109] :
( theorem(or(or(X107,X108),X109))
| ~ theorem(not(X110))
| ~ theorem(or(X110,X108)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f1372,plain,
( ! [X108,X109,X107,X110] :
( theorem(or(or(X107,X108),X109))
| ~ theorem(not(X110))
| ~ theorem(or(X110,X108)) )
| ~ spl0_58
| ~ spl0_124 ),
inference(resolution,[],[f1332,f419]) ).
fof(f23703,plain,
( spl0_522
| ~ spl0_59
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1359,f1331,f422,f23701]) ).
fof(f23701,plain,
( spl0_522
<=> ! [X59,X57,X56,X58] :
( theorem(or(X56,X57))
| ~ theorem(not(implies(X58,X59)))
| ~ theorem(or(X56,X59)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f1359,plain,
( ! [X58,X59,X56,X57] :
( theorem(or(X56,X57))
| ~ theorem(not(implies(X58,X59)))
| ~ theorem(or(X56,X59)) )
| ~ spl0_59
| ~ spl0_124 ),
inference(resolution,[],[f1332,f423]) ).
fof(f23695,plain,
( spl0_521
| spl0_268
| ~ spl0_122
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1352,f1331,f1074,f4912,f23693]) ).
fof(f23693,plain,
( spl0_521
<=> ! [X34,X33] : ~ theorem(not(or(X33,implies(or(X33,X34),X34)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f4912,plain,
( spl0_268
<=> ! [X39,X40] : theorem(or(X39,X40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1352,plain,
( ! [X31,X34,X32,X33] :
( theorem(or(X31,X32))
| ~ theorem(not(or(X33,implies(or(X33,X34),X34)))) )
| ~ spl0_122
| ~ spl0_124 ),
inference(resolution,[],[f1332,f1075]) ).
fof(f23689,plain,
( spl0_520
| spl0_268
| ~ spl0_118
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1351,f1331,f1058,f4912,f23687]) ).
fof(f23687,plain,
( spl0_520
<=> ! [X29,X28,X30] :
( ~ theorem(not(or(X28,or(X29,X30))))
| ~ theorem(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f1351,plain,
( ! [X28,X29,X26,X27,X30] :
( theorem(or(X26,X27))
| ~ theorem(not(or(X28,or(X29,X30))))
| ~ theorem(X29) )
| ~ spl0_118
| ~ spl0_124 ),
inference(resolution,[],[f1332,f1059]) ).
fof(f23685,plain,
( spl0_519
| ~ spl0_43
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1350,f1331,f289,f23683]) ).
fof(f23683,plain,
( spl0_519
<=> ! [X24,X23,X25,X22] :
( theorem(or(X22,X23))
| ~ theorem(not(or(X24,X25)))
| ~ theorem(or(X22,X25)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f1350,plain,
( ! [X24,X22,X25,X23] :
( theorem(or(X22,X23))
| ~ theorem(not(or(X24,X25)))
| ~ theorem(or(X22,X25)) )
| ~ spl0_43
| ~ spl0_124 ),
inference(resolution,[],[f1332,f290]) ).
fof(f23681,plain,
( spl0_518
| ~ spl0_111
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1347,f1331,f1030,f23679]) ).
fof(f23679,plain,
( spl0_518
<=> ! [X10,X11,X13,X12] :
( theorem(or(X10,X11))
| ~ theorem(not(or(X12,X13)))
| ~ theorem(or(X10,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f1347,plain,
( ! [X10,X11,X12,X13] :
( theorem(or(X10,X11))
| ~ theorem(not(or(X12,X13)))
| ~ theorem(or(X10,X12)) )
| ~ spl0_111
| ~ spl0_124 ),
inference(resolution,[],[f1332,f1031]) ).
fof(f23677,plain,
( spl0_517
| ~ spl0_82
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f997,f952,f663,f23675]) ).
fof(f23675,plain,
( spl0_517
<=> ! [X4,X2,X3] :
( theorem(or(X2,implies(X3,X4)))
| ~ theorem(implies(not(implies(X3,X2)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f997,plain,
( ! [X2,X3,X4] :
( theorem(or(X2,implies(X3,X4)))
| ~ theorem(implies(not(implies(X3,X2)),X4)) )
| ~ spl0_82
| ~ spl0_103 ),
inference(resolution,[],[f953,f664]) ).
fof(f23673,plain,
( spl0_516
| ~ spl0_69
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f993,f948,f503,f23671]) ).
fof(f23671,plain,
( spl0_516
<=> ! [X41,X40] : theorem(or(implies(implies(X40,implies(X41,not(X41))),not(X40)),not(X41))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f993,plain,
( ! [X40,X41] : theorem(or(implies(implies(X40,implies(X41,not(X41))),not(X40)),not(X41)))
| ~ spl0_69
| ~ spl0_102 ),
inference(resolution,[],[f949,f504]) ).
fof(f23669,plain,
( ~ spl0_515
| ~ spl0_50
| spl0_505 ),
inference(avatar_split_clause,[],[f23021,f21319,f363,f23666]) ).
fof(f23666,plain,
( spl0_515
<=> theorem(not(or(p,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f23021,plain,
( ~ theorem(not(or(p,r)))
| ~ spl0_50
| spl0_505 ),
inference(resolution,[],[f21321,f364]) ).
fof(f23664,plain,
( spl0_514
| ~ spl0_44
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f990,f948,f300,f23662]) ).
fof(f23662,plain,
( spl0_514
<=> ! [X29,X30,X31] : theorem(implies(X29,or(implies(implies(X30,implies(X29,X31)),not(X30)),X31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f990,plain,
( ! [X31,X29,X30] : theorem(implies(X29,or(implies(implies(X30,implies(X29,X31)),not(X30)),X31)))
| ~ spl0_44
| ~ spl0_102 ),
inference(resolution,[],[f949,f301]) ).
fof(f23660,plain,
( spl0_513
| ~ spl0_31
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f985,f948,f203,f23658]) ).
fof(f23658,plain,
( spl0_513
<=> ! [X13,X12,X11] : theorem(or(X11,or(implies(implies(X12,or(X11,X13)),not(X12)),X13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f985,plain,
( ! [X11,X12,X13] : theorem(or(X11,or(implies(implies(X12,or(X11,X13)),not(X12)),X13)))
| ~ spl0_31
| ~ spl0_102 ),
inference(resolution,[],[f949,f204]) ).
fof(f23656,plain,
( spl0_512
| ~ spl0_68
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f984,f948,f499,f23654]) ).
fof(f23654,plain,
( spl0_512
<=> ! [X9,X8,X10] : theorem(or(implies(implies(X8,or(X9,X10)),not(X8)),or(X10,X9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f984,plain,
( ! [X10,X8,X9] : theorem(or(implies(implies(X8,or(X9,X10)),not(X8)),or(X10,X9)))
| ~ spl0_68
| ~ spl0_102 ),
inference(resolution,[],[f949,f500]) ).
fof(f23652,plain,
( spl0_511
| ~ spl0_47
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f978,f944,f312,f23650]) ).
fof(f23650,plain,
( spl0_511
<=> ! [X6,X5,X7] :
( theorem(or(X5,implies(or(X6,not(X7)),X6)))
| ~ theorem(or(X5,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f978,plain,
( ! [X6,X7,X5] :
( theorem(or(X5,implies(or(X6,not(X7)),X6)))
| ~ theorem(or(X5,X7)) )
| ~ spl0_47
| ~ spl0_101 ),
inference(resolution,[],[f945,f313]) ).
fof(f23648,plain,
( spl0_510
| ~ spl0_70
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f977,f944,f507,f23646]) ).
fof(f23646,plain,
( spl0_510
<=> ! [X2,X4,X3] :
( theorem(implies(X2,X3))
| ~ theorem(implies(implies(or(X4,not(X2)),X4),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f977,plain,
( ! [X2,X3,X4] :
( theorem(implies(X2,X3))
| ~ theorem(implies(implies(or(X4,not(X2)),X4),X3)) )
| ~ spl0_70
| ~ spl0_101 ),
inference(resolution,[],[f945,f508]) ).
fof(f23644,plain,
( spl0_509
| ~ spl0_70
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f973,f940,f507,f23642]) ).
fof(f23642,plain,
( spl0_509
<=> ! [X5,X4,X6,X3] :
( ~ theorem(not(X3))
| theorem(implies(X4,X5))
| ~ theorem(implies(implies(X3,X6),X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f940,plain,
( spl0_100
<=> ! [X2,X0,X1] :
( theorem(implies(X2,implies(X0,X1)))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f973,plain,
( ! [X3,X6,X4,X5] :
( ~ theorem(not(X3))
| theorem(implies(X4,X5))
| ~ theorem(implies(implies(X3,X6),X5)) )
| ~ spl0_70
| ~ spl0_100 ),
inference(resolution,[],[f941,f508]) ).
fof(f941,plain,
( ! [X2,X0,X1] :
( theorem(implies(X2,implies(X0,X1)))
| ~ theorem(not(X0)) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f23640,plain,
( spl0_508
| ~ spl0_72
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f875,f827,f590,f23638]) ).
fof(f23638,plain,
( spl0_508
<=> ! [X24,X22,X23] : theorem(or(implies(or(X22,or(X23,not(X24))),X22),implies(X24,X23))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f875,plain,
( ! [X24,X22,X23] : theorem(or(implies(or(X22,or(X23,not(X24))),X22),implies(X24,X23)))
| ~ spl0_72
| ~ spl0_93 ),
inference(resolution,[],[f828,f591]) ).
fof(f23526,plain,
( ~ spl0_507
| ~ spl0_358
| spl0_505 ),
inference(avatar_split_clause,[],[f23020,f21319,f16759,f23523]) ).
fof(f23523,plain,
( spl0_507
<=> theorem(not(or(r,p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f16759,plain,
( spl0_358
<=> ! [X22,X21,X23] :
( theorem(implies(or(X21,X22),X23))
| ~ theorem(not(or(X22,X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f23020,plain,
( ~ theorem(not(or(r,p)))
| ~ spl0_358
| spl0_505 ),
inference(resolution,[],[f21321,f16760]) ).
fof(f16760,plain,
( ! [X21,X22,X23] :
( theorem(implies(or(X21,X22),X23))
| ~ theorem(not(or(X22,X21))) )
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f16759]) ).
fof(f22030,plain,
( ~ spl0_506
| ~ spl0_23
| spl0_504 ),
inference(avatar_split_clause,[],[f21730,f21315,f159,f22027]) ).
fof(f22027,plain,
( spl0_506
<=> theorem(q) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f21315,plain,
( spl0_504
<=> theorem(or(p,q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f21730,plain,
( ~ theorem(q)
| ~ spl0_23
| spl0_504 ),
inference(resolution,[],[f21317,f160]) ).
fof(f21317,plain,
( ~ theorem(or(p,q))
| spl0_504 ),
inference(avatar_component_clause,[],[f21315]) ).
fof(f21322,plain,
( ~ spl0_504
| ~ spl0_505
| spl0_123
| ~ spl0_430 ),
inference(avatar_split_clause,[],[f20957,f18086,f1194,f21319,f21315]) ).
fof(f1194,plain,
( spl0_123
<=> theorem(implies(implies(or(p,q),or(p,r)),r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f18086,plain,
( spl0_430
<=> ! [X20,X21,X19] :
( ~ theorem(implies(X19,X20))
| theorem(implies(implies(X21,X19),X20))
| ~ theorem(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f20957,plain,
( ~ theorem(implies(or(p,r),r))
| ~ theorem(or(p,q))
| spl0_123
| ~ spl0_430 ),
inference(resolution,[],[f18087,f1196]) ).
fof(f1196,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),r))
| spl0_123 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f18087,plain,
( ! [X21,X19,X20] :
( theorem(implies(implies(X21,X19),X20))
| ~ theorem(implies(X19,X20))
| ~ theorem(X21) )
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f18086]) ).
fof(f20915,plain,
( spl0_503
| ~ spl0_6
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f4815,f4268,f34,f20913]) ).
fof(f20913,plain,
( spl0_503
<=> ! [X2,X0,X1] : theorem(or(implies(X0,implies(X1,X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f4268,plain,
( spl0_257
<=> ! [X45,X46,X47] : theorem(or(or(X45,implies(X46,X46)),X47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f4815,plain,
( ! [X2,X0,X1] : theorem(or(implies(X0,implies(X1,X1)),X2))
| ~ spl0_6
| ~ spl0_257 ),
inference(superposition,[],[f4269,f35]) ).
fof(f4269,plain,
( ! [X46,X47,X45] : theorem(or(or(X45,implies(X46,X46)),X47))
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f4268]) ).
fof(f20578,plain,
( spl0_502
| ~ spl0_63
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f4761,f4264,f479,f20576]) ).
fof(f20576,plain,
( spl0_502
<=> ! [X9,X8,X7] : theorem(implies(X7,implies(X8,implies(X9,X8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f4264,plain,
( spl0_256
<=> ! [X38,X37,X39] : theorem(implies(X37,implies(X38,implies(X39,X37)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f4761,plain,
( ! [X8,X9,X7] : theorem(implies(X7,implies(X8,implies(X9,X8))))
| ~ spl0_63
| ~ spl0_256 ),
inference(resolution,[],[f4265,f480]) ).
fof(f4265,plain,
( ! [X38,X39,X37] : theorem(implies(X37,implies(X38,implies(X39,X37))))
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f4264]) ).
fof(f20069,plain,
( spl0_501
| ~ spl0_45
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f4730,f4260,f304,f20067]) ).
fof(f20067,plain,
( spl0_501
<=> ! [X13,X12,X14] : theorem(or(X12,implies(X13,implies(X14,X13)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f4730,plain,
( ! [X14,X12,X13] : theorem(or(X12,implies(X13,implies(X14,X13))))
| ~ spl0_45
| ~ spl0_255 ),
inference(resolution,[],[f4261,f305]) ).
fof(f19451,plain,
( spl0_500
| ~ spl0_63
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f4697,f4256,f479,f19449]) ).
fof(f19449,plain,
( spl0_500
<=> ! [X9,X8,X7] : theorem(implies(X7,implies(X8,or(X9,X8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f4256,plain,
( spl0_254
<=> ! [X34,X35,X33] : theorem(implies(X33,implies(X34,or(X35,X33)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f4697,plain,
( ! [X8,X9,X7] : theorem(implies(X7,implies(X8,or(X9,X8))))
| ~ spl0_63
| ~ spl0_254 ),
inference(resolution,[],[f4257,f480]) ).
fof(f4257,plain,
( ! [X34,X35,X33] : theorem(implies(X33,implies(X34,or(X35,X33))))
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f4256]) ).
fof(f18973,plain,
( spl0_499
| ~ spl0_45
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f4665,f4252,f304,f18971]) ).
fof(f18971,plain,
( spl0_499
<=> ! [X13,X12,X14] : theorem(or(X12,implies(X13,or(X14,X13)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f4665,plain,
( ! [X14,X12,X13] : theorem(or(X12,implies(X13,or(X14,X13))))
| ~ spl0_45
| ~ spl0_253 ),
inference(resolution,[],[f4253,f305]) ).
fof(f18431,plain,
( spl0_498
| ~ spl0_6
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f4543,f4232,f34,f18429]) ).
fof(f18429,plain,
( spl0_498
<=> ! [X0,X1] : theorem(implies(X1,implies(X0,not(not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f4543,plain,
( ! [X0,X1] : theorem(implies(X1,implies(X0,not(not(X1)))))
| ~ spl0_6
| ~ spl0_248 ),
inference(superposition,[],[f4233,f35]) ).
fof(f18356,plain,
( spl0_497
| ~ spl0_98
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f4187,f4130,f847,f18354]) ).
fof(f18354,plain,
( spl0_497
<=> ! [X98,X97,X99] : theorem(or(X97,implies(implies(X98,X99),implies(X98,not(not(X99)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f847,plain,
( spl0_98
<=> ! [X2,X3] : theorem(or(X2,implies(X3,not(not(X3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f4187,plain,
( ! [X98,X99,X97] : theorem(or(X97,implies(implies(X98,X99),implies(X98,not(not(X99))))))
| ~ spl0_98
| ~ spl0_237 ),
inference(resolution,[],[f4131,f848]) ).
fof(f848,plain,
( ! [X2,X3] : theorem(or(X2,implies(X3,not(not(X3)))))
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f18352,plain,
( spl0_496
| ~ spl0_98
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f4155,f4126,f847,f18350]) ).
fof(f18350,plain,
( spl0_496
<=> ! [X98,X97,X99] : theorem(or(X97,implies(or(X98,X99),or(X98,not(not(X99)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f4155,plain,
( ! [X98,X99,X97] : theorem(or(X97,implies(or(X98,X99),or(X98,not(not(X99))))))
| ~ spl0_98
| ~ spl0_236 ),
inference(resolution,[],[f4127,f848]) ).
fof(f18348,plain,
( spl0_495
| ~ spl0_131
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f3446,f2861,f1426,f18346]) ).
fof(f18346,plain,
( spl0_495
<=> ! [X6,X8,X7] : theorem(implies(or(X6,X7),or(X6,implies(implies(X7,X8),X8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f3446,plain,
( ! [X8,X6,X7] : theorem(implies(or(X6,X7),or(X6,implies(implies(X7,X8),X8))))
| ~ spl0_131
| ~ spl0_213 ),
inference(resolution,[],[f2862,f1427]) ).
fof(f18344,plain,
( spl0_494
| ~ spl0_133
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f3405,f2845,f1435,f18342]) ).
fof(f18342,plain,
( spl0_494
<=> ! [X61,X60,X62] : theorem(implies(implies(X60,X61),implies(X60,implies(implies(X61,X62),X62)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f3405,plain,
( ! [X62,X60,X61] : theorem(implies(implies(X60,X61),implies(X60,implies(implies(X61,X62),X62))))
| ~ spl0_133
| ~ spl0_209 ),
inference(resolution,[],[f2846,f1436]) ).
fof(f18340,plain,
( spl0_493
| ~ spl0_46
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f3026,f2770,f308,f18338]) ).
fof(f18338,plain,
( spl0_493
<=> ! [X4,X5,X3] : theorem(implies(implies(X3,X4),implies(X5,implies(implies(X5,X3),X4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f3026,plain,
( ! [X3,X4,X5] : theorem(implies(implies(X3,X4),implies(X5,implies(implies(X5,X3),X4))))
| ~ spl0_46
| ~ spl0_193 ),
inference(resolution,[],[f2771,f309]) ).
fof(f18336,plain,
( spl0_492
| ~ spl0_33
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f2976,f2766,f211,f18334]) ).
fof(f18334,plain,
( spl0_492
<=> ! [X2,X0,X1] : theorem(implies(implies(X0,X1),or(X2,implies(or(X2,X0),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f2976,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,X1),or(X2,implies(or(X2,X0),X1))))
| ~ spl0_33
| ~ spl0_192 ),
inference(resolution,[],[f2767,f212]) ).
fof(f18332,plain,
( spl0_491
| ~ spl0_8
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f2675,f2130,f43,f18330]) ).
fof(f18330,plain,
( spl0_491
<=> ! [X2,X0,X1] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(implies(X1,or(X2,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f2675,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(implies(X1,or(X2,X2))) )
| ~ spl0_8
| ~ spl0_184 ),
inference(resolution,[],[f2131,f44]) ).
fof(f18328,plain,
( spl0_490
| ~ spl0_155
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f4358,f4208,f1867,f18326]) ).
fof(f18326,plain,
( spl0_490
<=> ! [X22,X24,X23] : theorem(implies(X22,implies(X23,implies(X24,X24)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f4208,plain,
( spl0_242
<=> ! [X32,X30,X31] : theorem(implies(X30,or(implies(X31,X31),X32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f4358,plain,
( ! [X24,X22,X23] : theorem(implies(X22,implies(X23,implies(X24,X24))))
| ~ spl0_155
| ~ spl0_242 ),
inference(resolution,[],[f4209,f1868]) ).
fof(f4209,plain,
( ! [X31,X32,X30] : theorem(implies(X30,or(implies(X31,X31),X32)))
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f4208]) ).
fof(f18324,plain,
( spl0_489
| ~ spl0_24
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2653,f2126,f163,f18322]) ).
fof(f18322,plain,
( spl0_489
<=> ! [X82,X81,X80,X83] :
( theorem(or(X80,implies(X81,implies(X82,X83))))
| ~ theorem(or(X80,X83)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f2653,plain,
( ! [X82,X83,X80,X81] :
( theorem(or(X80,implies(X81,implies(X82,X83))))
| ~ theorem(or(X80,X83)) )
| ~ spl0_24
| ~ spl0_183 ),
inference(resolution,[],[f2127,f164]) ).
fof(f18320,plain,
( spl0_488
| ~ spl0_11
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2647,f2126,f73,f18318]) ).
fof(f18318,plain,
( spl0_488
<=> ! [X51,X54,X53,X52] :
( theorem(or(X51,implies(X52,or(X53,X54))))
| ~ theorem(or(X51,X54)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f2647,plain,
( ! [X51,X54,X52,X53] :
( theorem(or(X51,implies(X52,or(X53,X54))))
| ~ theorem(or(X51,X54)) )
| ~ spl0_11
| ~ spl0_183 ),
inference(resolution,[],[f2127,f74]) ).
fof(f18316,plain,
( spl0_487
| ~ spl0_8
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f2635,f2126,f43,f18314]) ).
fof(f18314,plain,
( spl0_487
<=> ! [X2,X0,X1] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(or(X0,or(X2,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f2635,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(or(X0,or(X2,X2))) )
| ~ spl0_8
| ~ spl0_183 ),
inference(resolution,[],[f2127,f44]) ).
fof(f18312,plain,
( spl0_486
| ~ spl0_8
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f2492,f2098,f43,f18310]) ).
fof(f18310,plain,
( spl0_486
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X2,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f2492,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X2,X2))) )
| ~ spl0_8
| ~ spl0_176 ),
inference(resolution,[],[f2099,f44]) ).
fof(f18308,plain,
( spl0_485
| ~ spl0_58
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f2395,f2062,f418,f18306]) ).
fof(f18306,plain,
( spl0_485
<=> ! [X4,X5] :
( theorem(or(X4,not(X5)))
| ~ theorem(or(implies(X5,X4),not(X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f2395,plain,
( ! [X4,X5] :
( theorem(or(X4,not(X5)))
| ~ theorem(or(implies(X5,X4),not(X5))) )
| ~ spl0_58
| ~ spl0_171 ),
inference(resolution,[],[f2063,f419]) ).
fof(f18304,plain,
( spl0_484
| ~ spl0_24
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2380,f2058,f163,f18302]) ).
fof(f18302,plain,
( spl0_484
<=> ! [X50,X52,X51] : theorem(implies(implies(X50,not(X51)),implies(X52,implies(X51,not(X50))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f2380,plain,
( ! [X50,X51,X52] : theorem(implies(implies(X50,not(X51)),implies(X52,implies(X51,not(X50)))))
| ~ spl0_24
| ~ spl0_170 ),
inference(resolution,[],[f2059,f164]) ).
fof(f18300,plain,
( spl0_483
| ~ spl0_11
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f2374,f2058,f73,f18298]) ).
fof(f18298,plain,
( spl0_483
<=> ! [X29,X27,X28] : theorem(implies(implies(X27,not(X28)),or(X29,implies(X28,not(X27))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f2374,plain,
( ! [X28,X29,X27] : theorem(implies(implies(X27,not(X28)),or(X29,implies(X28,not(X27)))))
| ~ spl0_11
| ~ spl0_170 ),
inference(resolution,[],[f2059,f74]) ).
fof(f18296,plain,
( spl0_482
| ~ spl0_24
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2350,f2054,f163,f18294]) ).
fof(f18294,plain,
( spl0_482
<=> ! [X69,X71,X70,X72] :
( theorem(implies(X69,implies(X70,or(X71,X72))))
| ~ theorem(implies(X69,X72)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f2350,plain,
( ! [X72,X70,X71,X69] :
( theorem(implies(X69,implies(X70,or(X71,X72))))
| ~ theorem(implies(X69,X72)) )
| ~ spl0_24
| ~ spl0_169 ),
inference(resolution,[],[f2055,f164]) ).
fof(f18292,plain,
( spl0_481
| ~ spl0_11
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f2344,f2054,f73,f18290]) ).
fof(f18290,plain,
( spl0_481
<=> ! [X41,X42,X44,X43] :
( theorem(implies(X41,or(X42,or(X43,X44))))
| ~ theorem(implies(X41,X44)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f2344,plain,
( ! [X41,X44,X42,X43] :
( theorem(implies(X41,or(X42,or(X43,X44))))
| ~ theorem(implies(X41,X44)) )
| ~ spl0_11
| ~ spl0_169 ),
inference(resolution,[],[f2055,f74]) ).
fof(f18288,plain,
( spl0_480
| ~ spl0_95
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f2278,f2042,f835,f18286]) ).
fof(f18286,plain,
( spl0_480
<=> ! [X45,X46,X47] :
( ~ theorem(or(or(X45,X46),X45))
| theorem(or(X47,or(X46,X45))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f2278,plain,
( ! [X46,X47,X45] :
( ~ theorem(or(or(X45,X46),X45))
| theorem(or(X47,or(X46,X45))) )
| ~ spl0_95
| ~ spl0_166 ),
inference(resolution,[],[f2043,f836]) ).
fof(f18284,plain,
( spl0_479
| ~ spl0_140
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f4353,f4208,f1463,f18282]) ).
fof(f18282,plain,
( spl0_479
<=> ! [X6,X8,X7] : theorem(implies(X6,or(X7,implies(X8,X8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f4353,plain,
( ! [X8,X6,X7] : theorem(implies(X6,or(X7,implies(X8,X8))))
| ~ spl0_140
| ~ spl0_242 ),
inference(resolution,[],[f4209,f1464]) ).
fof(f18280,plain,
( spl0_478
| ~ spl0_24
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2245,f2034,f163,f18278]) ).
fof(f18278,plain,
( spl0_478
<=> ! [X82,X81,X80,X83] :
( theorem(or(X80,or(X81,implies(X82,X83))))
| ~ theorem(or(X80,X83)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f2245,plain,
( ! [X82,X83,X80,X81] :
( theorem(or(X80,or(X81,implies(X82,X83))))
| ~ theorem(or(X80,X83)) )
| ~ spl0_24
| ~ spl0_164 ),
inference(resolution,[],[f2035,f164]) ).
fof(f18276,plain,
( spl0_477
| ~ spl0_11
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2239,f2034,f73,f18274]) ).
fof(f18274,plain,
( spl0_477
<=> ! [X51,X54,X53,X52] :
( theorem(or(X51,or(X52,or(X53,X54))))
| ~ theorem(or(X51,X54)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f2239,plain,
( ! [X51,X54,X52,X53] :
( theorem(or(X51,or(X52,or(X53,X54))))
| ~ theorem(or(X51,X54)) )
| ~ spl0_11
| ~ spl0_164 ),
inference(resolution,[],[f2035,f74]) ).
fof(f18272,plain,
( spl0_476
| ~ spl0_8
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f2227,f2034,f43,f18270]) ).
fof(f18270,plain,
( spl0_476
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f2227,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X2))) )
| ~ spl0_8
| ~ spl0_164 ),
inference(resolution,[],[f2035,f44]) ).
fof(f18268,plain,
( spl0_475
| ~ spl0_121
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2222,f2030,f1070,f18266]) ).
fof(f18266,plain,
( spl0_475
<=> ! [X93,X92,X94,X95] : theorem(or(X92,implies(X93,implies(X94,implies(implies(X94,X95),X95))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f2222,plain,
( ! [X94,X95,X92,X93] : theorem(or(X92,implies(X93,implies(X94,implies(implies(X94,X95),X95)))))
| ~ spl0_121
| ~ spl0_163 ),
inference(resolution,[],[f2031,f1071]) ).
fof(f18264,plain,
( spl0_474
| ~ spl0_119
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2220,f2030,f1062,f18262]) ).
fof(f18262,plain,
( spl0_474
<=> ! [X85,X82,X83,X84,X86] :
( theorem(or(X82,implies(X83,implies(X84,or(X85,X86)))))
| ~ theorem(X85) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f2220,plain,
( ! [X82,X83,X86,X84,X85] :
( theorem(or(X82,implies(X83,implies(X84,or(X85,X86)))))
| ~ theorem(X85) )
| ~ spl0_119
| ~ spl0_163 ),
inference(resolution,[],[f2031,f1063]) ).
fof(f18260,plain,
( spl0_473
| ~ spl0_122
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2209,f2030,f1074,f18258]) ).
fof(f18258,plain,
( spl0_473
<=> ! [X38,X39,X37,X40] : theorem(or(X37,implies(X38,or(X39,implies(or(X39,X40),X40))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f2209,plain,
( ! [X40,X38,X39,X37] : theorem(or(X37,implies(X38,or(X39,implies(or(X39,X40),X40)))))
| ~ spl0_122
| ~ spl0_163 ),
inference(resolution,[],[f2031,f1075]) ).
fof(f18256,plain,
( spl0_472
| ~ spl0_118
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2208,f2030,f1058,f18254]) ).
fof(f18254,plain,
( spl0_472
<=> ! [X35,X33,X34,X36,X32] :
( theorem(or(X32,implies(X33,or(X34,or(X35,X36)))))
| ~ theorem(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f2208,plain,
( ! [X36,X34,X35,X32,X33] :
( theorem(or(X32,implies(X33,or(X34,or(X35,X36)))))
| ~ theorem(X35) )
| ~ spl0_118
| ~ spl0_163 ),
inference(resolution,[],[f2031,f1059]) ).
fof(f18252,plain,
( spl0_471
| ~ spl0_112
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2203,f2030,f1034,f18250]) ).
fof(f18250,plain,
( spl0_471
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(or(X15,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f2203,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(or(X15,X14)) )
| ~ spl0_112
| ~ spl0_163 ),
inference(resolution,[],[f2031,f1035]) ).
fof(f18248,plain,
( spl0_470
| ~ spl0_58
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2200,f2030,f418,f18246]) ).
fof(f18246,plain,
( spl0_470
<=> ! [X4,X5,X3] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(or(X5,implies(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f2200,plain,
( ! [X3,X4,X5] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(or(X5,implies(X4,X5))) )
| ~ spl0_58
| ~ spl0_163 ),
inference(resolution,[],[f2031,f419]) ).
fof(f18244,plain,
( spl0_469
| ~ spl0_121
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2155,f2018,f1070,f18242]) ).
fof(f18242,plain,
( spl0_469
<=> ! [X87,X89,X88,X90] : theorem(or(X87,or(X88,implies(X89,implies(implies(X89,X90),X90))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f2155,plain,
( ! [X90,X88,X89,X87] : theorem(or(X87,or(X88,implies(X89,implies(implies(X89,X90),X90)))))
| ~ spl0_121
| ~ spl0_160 ),
inference(resolution,[],[f2019,f1071]) ).
fof(f18240,plain,
( spl0_468
| ~ spl0_26
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f4337,f4200,f175,f18238]) ).
fof(f18238,plain,
( spl0_468
<=> ! [X34,X32,X33] : theorem(or(or(implies(X32,X32),X33),X34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f4200,plain,
( spl0_240
<=> ! [X13,X12,X14] : theorem(or(X12,or(implies(X13,X13),X14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f4337,plain,
( ! [X34,X32,X33] : theorem(or(or(implies(X32,X32),X33),X34))
| ~ spl0_26
| ~ spl0_240 ),
inference(resolution,[],[f4201,f176]) ).
fof(f4201,plain,
( ! [X14,X12,X13] : theorem(or(X12,or(implies(X13,X13),X14)))
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f4200]) ).
fof(f18236,plain,
( spl0_467
| ~ spl0_119
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2153,f2018,f1062,f18234]) ).
fof(f18234,plain,
( spl0_467
<=> ! [X81,X77,X78,X80,X79] :
( theorem(or(X77,or(X78,implies(X79,or(X80,X81)))))
| ~ theorem(X80) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f2153,plain,
( ! [X80,X78,X81,X79,X77] :
( theorem(or(X77,or(X78,implies(X79,or(X80,X81)))))
| ~ theorem(X80) )
| ~ spl0_119
| ~ spl0_160 ),
inference(resolution,[],[f2019,f1063]) ).
fof(f18232,plain,
( spl0_466
| ~ spl0_122
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2143,f2018,f1074,f18230]) ).
fof(f18230,plain,
( spl0_466
<=> ! [X38,X39,X37,X40] : theorem(or(X37,or(X38,or(X39,implies(or(X39,X40),X40))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f2143,plain,
( ! [X40,X38,X39,X37] : theorem(or(X37,or(X38,or(X39,implies(or(X39,X40),X40)))))
| ~ spl0_122
| ~ spl0_160 ),
inference(resolution,[],[f2019,f1075]) ).
fof(f18228,plain,
( spl0_465
| ~ spl0_118
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2142,f2018,f1058,f18226]) ).
fof(f18226,plain,
( spl0_465
<=> ! [X35,X33,X34,X36,X32] :
( theorem(or(X32,or(X33,or(X34,or(X35,X36)))))
| ~ theorem(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f2142,plain,
( ! [X36,X34,X35,X32,X33] :
( theorem(or(X32,or(X33,or(X34,or(X35,X36)))))
| ~ theorem(X35) )
| ~ spl0_118
| ~ spl0_160 ),
inference(resolution,[],[f2019,f1059]) ).
fof(f18224,plain,
( spl0_464
| ~ spl0_112
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2137,f2018,f1034,f18222]) ).
fof(f18222,plain,
( spl0_464
<=> ! [X13,X14,X12,X15] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X15,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f2137,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X15,X14)) )
| ~ spl0_112
| ~ spl0_160 ),
inference(resolution,[],[f2019,f1035]) ).
fof(f18220,plain,
( spl0_463
| ~ spl0_58
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2134,f2018,f418,f18218]) ).
fof(f18218,plain,
( spl0_463
<=> ! [X4,X5,X3] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X5,or(X4,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f2134,plain,
( ! [X3,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X5,or(X4,X5))) )
| ~ spl0_58
| ~ spl0_160 ),
inference(resolution,[],[f2019,f419]) ).
fof(f18216,plain,
( spl0_462
| ~ spl0_72
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1950,f1871,f590,f18214]) ).
fof(f18214,plain,
( spl0_462
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(or(X2,implies(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f1950,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(or(X2,implies(X1,X0))) )
| ~ spl0_72
| ~ spl0_156 ),
inference(resolution,[],[f1872,f591]) ).
fof(f18212,plain,
( spl0_461
| ~ spl0_50
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1913,f1863,f363,f18210]) ).
fof(f18210,plain,
( spl0_461
<=> ! [X20,X18,X19] :
( theorem(implies(implies(X18,X19),X20))
| ~ theorem(not(or(X19,not(X18)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f1913,plain,
( ! [X18,X19,X20] :
( theorem(implies(implies(X18,X19),X20))
| ~ theorem(not(or(X19,not(X18)))) )
| ~ spl0_50
| ~ spl0_154 ),
inference(resolution,[],[f1864,f364]) ).
fof(f18208,plain,
( spl0_460
| ~ spl0_144
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1886,f1859,f1480,f18206]) ).
fof(f18206,plain,
( spl0_460
<=> ! [X0,X3,X2,X1] :
( ~ theorem(implies(implies(X0,X1),X2))
| theorem(implies(X3,X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f1886,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(implies(X0,X1),X2))
| theorem(implies(X3,X2))
| ~ theorem(X1) )
| ~ spl0_144
| ~ spl0_153 ),
inference(resolution,[],[f1860,f1481]) ).
fof(f18204,plain,
( spl0_459
| ~ spl0_26
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1854,f1508,f175,f18202]) ).
fof(f18202,plain,
( spl0_459
<=> ! [X25,X24,X26] :
( ~ theorem(implies(X24,X25))
| theorem(or(implies(or(X24,X26),X25),X26)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f1854,plain,
( ! [X26,X24,X25] :
( ~ theorem(implies(X24,X25))
| theorem(or(implies(or(X24,X26),X25),X26)) )
| ~ spl0_26
| ~ spl0_151 ),
inference(resolution,[],[f1509,f176]) ).
fof(f18200,plain,
( spl0_458
| ~ spl0_26
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1838,f1504,f175,f18198]) ).
fof(f18198,plain,
( spl0_458
<=> ! [X18,X17,X19] : theorem(or(or(X17,implies(or(or(X17,X18),X19),X18)),X19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f1838,plain,
( ! [X18,X19,X17] : theorem(or(or(X17,implies(or(or(X17,X18),X19),X18)),X19))
| ~ spl0_26
| ~ spl0_150 ),
inference(resolution,[],[f1505,f176]) ).
fof(f18196,plain,
( spl0_457
| ~ spl0_7
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f4300,f4196,f38,f18194]) ).
fof(f18194,plain,
( spl0_457
<=> ! [X13,X14] :
( theorem(implies(implies(X13,X14),X14))
| ~ theorem(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f4196,plain,
( spl0_239
<=> ! [X8,X7] : theorem(implies(X7,implies(implies(X7,X8),X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f4300,plain,
( ! [X14,X13] :
( theorem(implies(implies(X13,X14),X14))
| ~ theorem(X13) )
| ~ spl0_7
| ~ spl0_239 ),
inference(resolution,[],[f4197,f39]) ).
fof(f4197,plain,
( ! [X8,X7] : theorem(implies(X7,implies(implies(X7,X8),X8)))
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f4196]) ).
fof(f18192,plain,
( spl0_456
| ~ spl0_31
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1836,f1504,f203,f18190]) ).
fof(f18190,plain,
( spl0_456
<=> ! [X11,X12,X10] : theorem(or(X10,or(X11,implies(or(or(X10,X12),X11),X12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f1836,plain,
( ! [X10,X11,X12] : theorem(or(X10,or(X11,implies(or(or(X10,X12),X11),X12))))
| ~ spl0_31
| ~ spl0_150 ),
inference(resolution,[],[f1505,f204]) ).
fof(f18188,plain,
( spl0_455
| ~ spl0_68
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1835,f1504,f499,f18186]) ).
fof(f18186,plain,
( spl0_455
<=> ! [X9,X8,X7] : theorem(or(X7,or(implies(or(or(X8,X9),X7),X9),X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f1835,plain,
( ! [X8,X9,X7] : theorem(or(X7,or(implies(or(or(X8,X9),X7),X9),X8)))
| ~ spl0_68
| ~ spl0_150 ),
inference(resolution,[],[f1505,f500]) ).
fof(f18184,plain,
( spl0_454
| ~ spl0_6
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1829,f1500,f34,f18182]) ).
fof(f18182,plain,
( spl0_454
<=> ! [X2,X0,X1] : theorem(implies(X0,or(X2,implies(or(X2,implies(X0,X1)),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f1829,plain,
( ! [X2,X0,X1] : theorem(implies(X0,or(X2,implies(or(X2,implies(X0,X1)),X1))))
| ~ spl0_6
| ~ spl0_149 ),
inference(forward_demodulation,[],[f1825,f35]) ).
fof(f1825,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),or(X2,implies(or(X2,implies(X0,X1)),X1))))
| ~ spl0_6
| ~ spl0_149 ),
inference(superposition,[],[f1501,f35]) ).
fof(f18180,plain,
( spl0_453
| ~ spl0_26
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1823,f1500,f175,f18178]) ).
fof(f18178,plain,
( spl0_453
<=> ! [X18,X17,X19] : theorem(or(or(X17,implies(or(X17,or(X18,X19)),X19)),X18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f1823,plain,
( ! [X18,X19,X17] : theorem(or(or(X17,implies(or(X17,or(X18,X19)),X19)),X18))
| ~ spl0_26
| ~ spl0_149 ),
inference(resolution,[],[f1501,f176]) ).
fof(f18176,plain,
( spl0_452
| ~ spl0_31
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1821,f1500,f203,f18174]) ).
fof(f18174,plain,
( spl0_452
<=> ! [X11,X12,X10] : theorem(or(X10,or(X11,implies(or(X10,or(X11,X12)),X12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f1821,plain,
( ! [X10,X11,X12] : theorem(or(X10,or(X11,implies(or(X10,or(X11,X12)),X12))))
| ~ spl0_31
| ~ spl0_149 ),
inference(resolution,[],[f1501,f204]) ).
fof(f18172,plain,
( spl0_451
| ~ spl0_68
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1820,f1500,f499,f18170]) ).
fof(f18170,plain,
( spl0_451
<=> ! [X9,X8,X7] : theorem(or(X7,or(implies(or(X8,or(X7,X9)),X9),X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f1820,plain,
( ! [X8,X9,X7] : theorem(or(X7,or(implies(or(X8,or(X7,X9)),X9),X8)))
| ~ spl0_68
| ~ spl0_149 ),
inference(resolution,[],[f1501,f500]) ).
fof(f18168,plain,
( spl0_450
| ~ spl0_26
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1815,f1496,f175,f18166]) ).
fof(f18166,plain,
( spl0_450
<=> ! [X16,X14,X15] : theorem(or(implies(X14,implies(or(implies(X14,X15),X16),X15)),X16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f1815,plain,
( ! [X16,X14,X15] : theorem(or(implies(X14,implies(or(implies(X14,X15),X16),X15)),X16))
| ~ spl0_26
| ~ spl0_148 ),
inference(resolution,[],[f1497,f176]) ).
fof(f18164,plain,
( spl0_449
| ~ spl0_44
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1813,f1496,f300,f18162]) ).
fof(f18162,plain,
( spl0_449
<=> ! [X9,X8,X7] : theorem(implies(X7,or(X8,implies(or(implies(X7,X9),X8),X9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f1813,plain,
( ! [X8,X9,X7] : theorem(implies(X7,or(X8,implies(or(implies(X7,X9),X8),X9))))
| ~ spl0_44
| ~ spl0_148 ),
inference(resolution,[],[f1497,f301]) ).
fof(f18160,plain,
( spl0_448
| ~ spl0_6
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1809,f1492,f34,f18158]) ).
fof(f18158,plain,
( spl0_448
<=> ! [X2,X0,X1] : theorem(implies(X0,implies(X2,implies(implies(X2,implies(X0,X1)),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f1809,plain,
( ! [X2,X0,X1] : theorem(implies(X0,implies(X2,implies(implies(X2,implies(X0,X1)),X1))))
| ~ spl0_6
| ~ spl0_147 ),
inference(forward_demodulation,[],[f1807,f35]) ).
fof(f1807,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),implies(X2,implies(implies(X2,implies(X0,X1)),X1))))
| ~ spl0_6
| ~ spl0_147 ),
inference(superposition,[],[f1493,f35]) ).
fof(f18156,plain,
( spl0_447
| ~ spl0_26
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1805,f1492,f175,f18154]) ).
fof(f18154,plain,
( spl0_447
<=> ! [X16,X14,X15] : theorem(or(implies(X14,implies(implies(X14,or(X15,X16)),X16)),X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f1805,plain,
( ! [X16,X14,X15] : theorem(or(implies(X14,implies(implies(X14,or(X15,X16)),X16)),X15))
| ~ spl0_26
| ~ spl0_147 ),
inference(resolution,[],[f1493,f176]) ).
fof(f18152,plain,
( spl0_446
| ~ spl0_26
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f4286,f4192,f175,f18150]) ).
fof(f18150,plain,
( spl0_446
<=> ! [X20,X19] : theorem(or(implies(or(X19,X20),X20),X19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f4192,plain,
( spl0_238
<=> ! [X6,X5] : theorem(or(X5,implies(or(X5,X6),X6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f4286,plain,
( ! [X19,X20] : theorem(or(implies(or(X19,X20),X20),X19))
| ~ spl0_26
| ~ spl0_238 ),
inference(resolution,[],[f4193,f176]) ).
fof(f4193,plain,
( ! [X6,X5] : theorem(or(X5,implies(or(X5,X6),X6)))
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f4192]) ).
fof(f18148,plain,
( spl0_445
| ~ spl0_44
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1803,f1492,f300,f18146]) ).
fof(f18146,plain,
( spl0_445
<=> ! [X9,X8,X7] : theorem(implies(X7,or(X8,implies(implies(X7,or(X8,X9)),X9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f1803,plain,
( ! [X8,X9,X7] : theorem(implies(X7,or(X8,implies(implies(X7,or(X8,X9)),X9))))
| ~ spl0_44
| ~ spl0_147 ),
inference(resolution,[],[f1493,f301]) ).
fof(f18144,plain,
( spl0_444
| ~ spl0_26
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1796,f1488,f175,f18142]) ).
fof(f18142,plain,
( spl0_444
<=> ! [X22,X21,X23] :
( ~ theorem(implies(X21,not(X22)))
| theorem(or(implies(X22,not(X21)),X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f1796,plain,
( ! [X21,X22,X23] :
( ~ theorem(implies(X21,not(X22)))
| theorem(or(implies(X22,not(X21)),X23)) )
| ~ spl0_26
| ~ spl0_146 ),
inference(resolution,[],[f1489,f176]) ).
fof(f18140,plain,
( spl0_443
| ~ spl0_44
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1792,f1488,f300,f18138]) ).
fof(f18138,plain,
( spl0_443
<=> ! [X9,X11,X10] :
( ~ theorem(implies(X9,not(X10)))
| theorem(implies(X10,or(X11,not(X9)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f1792,plain,
( ! [X10,X11,X9] :
( ~ theorem(implies(X9,not(X10)))
| theorem(implies(X10,or(X11,not(X9)))) )
| ~ spl0_44
| ~ spl0_146 ),
inference(resolution,[],[f1489,f301]) ).
fof(f18136,plain,
( spl0_442
| ~ spl0_7
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1779,f1484,f38,f18134]) ).
fof(f18134,plain,
( spl0_442
<=> ! [X14,X15] :
( ~ theorem(implies(not(X14),X15))
| theorem(X15)
| ~ theorem(implies(X14,not(X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f1779,plain,
( ! [X14,X15] :
( ~ theorem(implies(not(X14),X15))
| theorem(X15)
| ~ theorem(implies(X14,not(X14))) )
| ~ spl0_7
| ~ spl0_145 ),
inference(resolution,[],[f1485,f39]) ).
fof(f18132,plain,
( spl0_441
| ~ spl0_131
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1726,f1471,f1426,f18130]) ).
fof(f18130,plain,
( spl0_441
<=> ! [X18,X16,X17] : theorem(implies(or(X16,X17),implies(implies(X16,X18),or(X17,X18)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f1726,plain,
( ! [X18,X16,X17] : theorem(implies(or(X16,X17),implies(implies(X16,X18),or(X17,X18))))
| ~ spl0_131
| ~ spl0_142 ),
inference(resolution,[],[f1472,f1427]) ).
fof(f18128,plain,
( spl0_440
| ~ spl0_32
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1725,f1471,f207,f18126]) ).
fof(f18126,plain,
( spl0_440
<=> ! [X13,X14,X15] : theorem(implies(or(implies(X13,X14),X15),implies(X13,or(X15,X14)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f1725,plain,
( ! [X14,X15,X13] : theorem(implies(or(implies(X13,X14),X15),implies(X13,or(X15,X14))))
| ~ spl0_32
| ~ spl0_142 ),
inference(resolution,[],[f1472,f208]) ).
fof(f18124,plain,
( spl0_439
| ~ spl0_35
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1723,f1471,f219,f18122]) ).
fof(f18122,plain,
( spl0_439
<=> ! [X9,X8,X10] :
( theorem(implies(or(X8,X9),or(X9,X10)))
| ~ theorem(implies(X8,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f1723,plain,
( ! [X10,X8,X9] :
( theorem(implies(or(X8,X9),or(X9,X10)))
| ~ theorem(implies(X8,X10)) )
| ~ spl0_35
| ~ spl0_142 ),
inference(resolution,[],[f1472,f220]) ).
fof(f18120,plain,
( spl0_438
| ~ spl0_17
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1722,f1471,f110,f18118]) ).
fof(f18118,plain,
( spl0_438
<=> ! [X6,X5,X7] : theorem(implies(or(or(X5,X6),X7),or(X5,or(X7,X6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f1722,plain,
( ! [X6,X7,X5] : theorem(implies(or(or(X5,X6),X7),or(X5,or(X7,X6))))
| ~ spl0_17
| ~ spl0_142 ),
inference(resolution,[],[f1472,f111]) ).
fof(f18116,plain,
( spl0_437
| ~ spl0_48
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1717,f1467,f318,f18114]) ).
fof(f18114,plain,
( spl0_437
<=> ! [X16,X17] :
( theorem(implies(implies(X16,X17),not(X16)))
| ~ theorem(implies(X17,not(X16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f1717,plain,
( ! [X16,X17] :
( theorem(implies(implies(X16,X17),not(X16)))
| ~ theorem(implies(X17,not(X16))) )
| ~ spl0_48
| ~ spl0_141 ),
inference(resolution,[],[f1468,f319]) ).
fof(f18112,plain,
( spl0_436
| ~ spl0_33
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1704,f1463,f211,f18110]) ).
fof(f18110,plain,
( spl0_436
<=> ! [X32,X31,X33] : theorem(implies(implies(X31,or(X32,X33)),or(implies(X31,X33),X32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f1704,plain,
( ! [X31,X32,X33] : theorem(implies(implies(X31,or(X32,X33)),or(implies(X31,X33),X32)))
| ~ spl0_33
| ~ spl0_140 ),
inference(resolution,[],[f1464,f212]) ).
fof(f18108,plain,
( spl0_435
| ~ spl0_165
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f3199,f2798,f2038,f18106]) ).
fof(f3199,plain,
( ! [X31,X32,X30] : theorem(implies(X30,implies(X31,or(X30,X32))))
| ~ spl0_165
| ~ spl0_200 ),
inference(resolution,[],[f2799,f2039]) ).
fof(f18104,plain,
( spl0_434
| ~ spl0_8
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1695,f1463,f43,f18102]) ).
fof(f18102,plain,
( spl0_434
<=> ! [X9,X8] : theorem(implies(or(or(X8,X9),or(X8,X9)),or(X9,X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f1695,plain,
( ! [X8,X9] : theorem(implies(or(or(X8,X9),or(X8,X9)),or(X9,X8)))
| ~ spl0_8
| ~ spl0_140 ),
inference(resolution,[],[f1464,f44]) ).
fof(f18100,plain,
( spl0_433
| ~ spl0_35
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1694,f1463,f219,f18098]) ).
fof(f18098,plain,
( spl0_433
<=> ! [X6,X5,X7] :
( theorem(implies(or(X5,X6),or(X7,X5)))
| ~ theorem(implies(X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f1694,plain,
( ! [X6,X7,X5] :
( theorem(implies(or(X5,X6),or(X7,X5)))
| ~ theorem(implies(X6,X7)) )
| ~ spl0_35
| ~ spl0_140 ),
inference(resolution,[],[f1464,f220]) ).
fof(f18096,plain,
( spl0_432
| ~ spl0_17
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1693,f1463,f110,f18094]) ).
fof(f18094,plain,
( spl0_432
<=> ! [X4,X2,X3] : theorem(implies(or(X2,or(X3,X4)),or(or(X2,X4),X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f1693,plain,
( ! [X2,X3,X4] : theorem(implies(or(X2,or(X3,X4)),or(or(X2,X4),X3)))
| ~ spl0_17
| ~ spl0_140 ),
inference(resolution,[],[f1464,f111]) ).
fof(f18092,plain,
( spl0_431
| ~ spl0_7
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1604,f1443,f38,f18090]) ).
fof(f18090,plain,
( spl0_431
<=> ! [X20,X21,X19] :
( theorem(implies(implies(X19,implies(X20,X21)),implies(X19,X21)))
| ~ theorem(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f1604,plain,
( ! [X21,X19,X20] :
( theorem(implies(implies(X19,implies(X20,X21)),implies(X19,X21)))
| ~ theorem(X20) )
| ~ spl0_7
| ~ spl0_135 ),
inference(resolution,[],[f1444,f39]) ).
fof(f18088,plain,
( spl0_430
| ~ spl0_7
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1596,f1439,f38,f18086]) ).
fof(f1596,plain,
( ! [X21,X19,X20] :
( ~ theorem(implies(X19,X20))
| theorem(implies(implies(X21,X19),X20))
| ~ theorem(X21) )
| ~ spl0_7
| ~ spl0_134 ),
inference(resolution,[],[f1440,f39]) ).
fof(f18084,plain,
( spl0_429
| ~ spl0_7
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1590,f1435,f38,f18082]) ).
fof(f1590,plain,
( ! [X24,X22,X23] :
( theorem(implies(implies(X22,X23),implies(X24,X23)))
| ~ theorem(implies(X24,X22)) )
| ~ spl0_7
| ~ spl0_133 ),
inference(resolution,[],[f1436,f39]) ).
fof(f18080,plain,
( spl0_428
| ~ spl0_7
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1579,f1426,f38,f18078]) ).
fof(f18078,plain,
( spl0_428
<=> ! [X24,X22,X23] :
( theorem(implies(implies(X22,X23),or(X24,X23)))
| ~ theorem(or(X24,X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f1579,plain,
( ! [X24,X22,X23] :
( theorem(implies(implies(X22,X23),or(X24,X23)))
| ~ theorem(or(X24,X22)) )
| ~ spl0_7
| ~ spl0_131 ),
inference(resolution,[],[f1427,f39]) ).
fof(f18076,plain,
( spl0_427
| ~ spl0_7
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1570,f1422,f38,f18074]) ).
fof(f18074,plain,
( spl0_427
<=> ! [X14,X15] :
( theorem(implies(or(implies(X14,X15),implies(X14,X15)),X15))
| ~ theorem(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f1570,plain,
( ! [X14,X15] :
( theorem(implies(or(implies(X14,X15),implies(X14,X15)),X15))
| ~ theorem(X14) )
| ~ spl0_7
| ~ spl0_130 ),
inference(resolution,[],[f1423,f39]) ).
fof(f18072,plain,
( spl0_426
| ~ spl0_7
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1558,f1418,f38,f18070]) ).
fof(f18070,plain,
( spl0_426
<=> ! [X20,X21,X19] :
( theorem(implies(or(X19,implies(X20,X21)),or(X19,X21)))
| ~ theorem(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f1558,plain,
( ! [X21,X19,X20] :
( theorem(implies(or(X19,implies(X20,X21)),or(X19,X21)))
| ~ theorem(X20) )
| ~ spl0_7
| ~ spl0_129 ),
inference(resolution,[],[f1419,f39]) ).
fof(f18068,plain,
( spl0_425
| ~ spl0_121
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1544,f1414,f1070,f18066]) ).
fof(f18066,plain,
( spl0_425
<=> ! [X102,X103,X104,X101] : theorem(or(or(X101,implies(X102,implies(implies(X102,X103),X103))),X104)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f1544,plain,
( ! [X101,X104,X102,X103] : theorem(or(or(X101,implies(X102,implies(implies(X102,X103),X103))),X104))
| ~ spl0_121
| ~ spl0_128 ),
inference(resolution,[],[f1415,f1071]) ).
fof(f18064,plain,
( spl0_424
| ~ spl0_165
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f3161,f2790,f2038,f18062]) ).
fof(f18062,plain,
( spl0_424
<=> ! [X34,X35,X33] : theorem(implies(X33,or(X34,or(X33,X35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f3161,plain,
( ! [X34,X35,X33] : theorem(implies(X33,or(X34,or(X33,X35))))
| ~ spl0_165
| ~ spl0_198 ),
inference(resolution,[],[f2791,f2039]) ).
fof(f18060,plain,
( spl0_423
| ~ spl0_119
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1541,f1414,f1062,f18058]) ).
fof(f18058,plain,
( spl0_423
<=> ! [X88,X87,X91,X90,X89] :
( theorem(or(or(X87,implies(X88,or(X89,X90))),X91))
| ~ theorem(X89) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f1541,plain,
( ! [X90,X91,X88,X89,X87] :
( theorem(or(or(X87,implies(X88,or(X89,X90))),X91))
| ~ theorem(X89) )
| ~ spl0_119
| ~ spl0_128 ),
inference(resolution,[],[f1415,f1063]) ).
fof(f18056,plain,
( spl0_422
| ~ spl0_54
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1531,f1414,f385,f18054]) ).
fof(f18054,plain,
( spl0_422
<=> ! [X50,X48,X49] : theorem(or(or(X48,implies(or(X49,or(X50,X50)),X49)),X50)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f1531,plain,
( ! [X50,X48,X49] : theorem(or(or(X48,implies(or(X49,or(X50,X50)),X49)),X50))
| ~ spl0_54
| ~ spl0_128 ),
inference(resolution,[],[f1415,f386]) ).
fof(f18052,plain,
( spl0_421
| ~ spl0_122
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1528,f1414,f1074,f18050]) ).
fof(f18050,plain,
( spl0_421
<=> ! [X38,X39,X37,X40] : theorem(or(or(X37,or(X38,implies(or(X38,X39),X39))),X40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f1528,plain,
( ! [X40,X38,X39,X37] : theorem(or(or(X37,or(X38,implies(or(X38,X39),X39))),X40))
| ~ spl0_122
| ~ spl0_128 ),
inference(resolution,[],[f1415,f1075]) ).
fof(f18048,plain,
( spl0_420
| ~ spl0_118
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1527,f1414,f1058,f18046]) ).
fof(f18046,plain,
( spl0_420
<=> ! [X35,X33,X34,X36,X32] :
( theorem(or(or(X32,or(X33,or(X34,X35))),X36))
| ~ theorem(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f1527,plain,
( ! [X36,X34,X35,X32,X33] :
( theorem(or(or(X32,or(X33,or(X34,X35))),X36))
| ~ theorem(X34) )
| ~ spl0_118
| ~ spl0_128 ),
inference(resolution,[],[f1415,f1059]) ).
fof(f18044,plain,
( spl0_419
| ~ spl0_112
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1522,f1414,f1034,f18042]) ).
fof(f18042,plain,
( spl0_419
<=> ! [X13,X14,X12,X15] :
( theorem(or(or(X12,or(X13,X14)),X15))
| ~ theorem(or(X14,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f1522,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(or(X12,or(X13,X14)),X15))
| ~ theorem(or(X14,X13)) )
| ~ spl0_112
| ~ spl0_128 ),
inference(resolution,[],[f1415,f1035]) ).
fof(f18040,plain,
( spl0_418
| ~ spl0_102
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1375,f1331,f948,f18038]) ).
fof(f18038,plain,
( spl0_418
<=> ! [X118,X117,X119] :
( theorem(or(implies(implies(X117,X118),not(X117)),X119))
| ~ theorem(not(X118)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f1375,plain,
( ! [X118,X119,X117] :
( theorem(or(implies(implies(X117,X118),not(X117)),X119))
| ~ theorem(not(X118)) )
| ~ spl0_102
| ~ spl0_124 ),
inference(resolution,[],[f1332,f949]) ).
fof(f18036,plain,
( spl0_417
| ~ spl0_39
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1370,f1331,f264,f18034]) ).
fof(f18034,plain,
( spl0_417
<=> ! [X102,X100,X101] :
( theorem(or(X100,X101))
| ~ theorem(not(not(X102)))
| ~ theorem(implies(X102,X100)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f1370,plain,
( ! [X101,X102,X100] :
( theorem(or(X100,X101))
| ~ theorem(not(not(X102)))
| ~ theorem(implies(X102,X100)) )
| ~ spl0_39
| ~ spl0_124 ),
inference(resolution,[],[f1332,f265]) ).
fof(f18032,plain,
( spl0_416
| ~ spl0_103
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1369,f1331,f952,f18030]) ).
fof(f18030,plain,
( spl0_416
<=> ! [X98,X97,X99] :
( theorem(or(X97,X98))
| ~ theorem(not(implies(X99,not(implies(X99,X97))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f1369,plain,
( ! [X98,X99,X97] :
( theorem(or(X97,X98))
| ~ theorem(not(implies(X99,not(implies(X99,X97))))) )
| ~ spl0_103
| ~ spl0_124 ),
inference(resolution,[],[f1332,f953]) ).
fof(f18028,plain,
( spl0_415
| ~ spl0_55
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1367,f1331,f403,f18026]) ).
fof(f18026,plain,
( spl0_415
<=> ! [X93,X92,X91] :
( theorem(or(X91,X92))
| ~ theorem(not(implies(implies(X93,X91),not(X93)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f1367,plain,
( ! [X91,X92,X93] :
( theorem(or(X91,X92))
| ~ theorem(not(implies(implies(X93,X91),not(X93)))) )
| ~ spl0_55
| ~ spl0_124 ),
inference(resolution,[],[f1332,f404]) ).
fof(f18024,plain,
( spl0_414
| ~ spl0_42
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1279,f1054,f285,f18022]) ).
fof(f18022,plain,
( spl0_414
<=> ! [X80,X78,X79] :
( theorem(implies(X78,implies(X79,not(X80))))
| ~ theorem(implies(X80,not(X79))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f1279,plain,
( ! [X80,X78,X79] :
( theorem(implies(X78,implies(X79,not(X80))))
| ~ theorem(implies(X80,not(X79))) )
| ~ spl0_42
| ~ spl0_117 ),
inference(resolution,[],[f1055,f286]) ).
fof(f18010,plain,
( spl0_413
| ~ spl0_105
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1273,f1054,f1002,f18008]) ).
fof(f18008,plain,
( spl0_413
<=> ! [X61,X60,X59] :
( theorem(implies(X59,implies(implies(X60,not(X61)),not(X60))))
| ~ theorem(X61) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f1273,plain,
( ! [X59,X60,X61] :
( theorem(implies(X59,implies(implies(X60,not(X61)),not(X60))))
| ~ theorem(X61) )
| ~ spl0_105
| ~ spl0_117 ),
inference(resolution,[],[f1055,f1003]) ).
fof(f18006,plain,
( spl0_412
| ~ spl0_108
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1270,f1054,f1014,f18004]) ).
fof(f18004,plain,
( spl0_412
<=> ! [X48,X51,X50,X49] :
( theorem(implies(X48,implies(X49,X50)))
| ~ theorem(X51)
| ~ theorem(implies(X51,X50)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f1270,plain,
( ! [X50,X51,X48,X49] :
( theorem(implies(X48,implies(X49,X50)))
| ~ theorem(X51)
| ~ theorem(implies(X51,X50)) )
| ~ spl0_108
| ~ spl0_117 ),
inference(resolution,[],[f1055,f1015]) ).
fof(f18002,plain,
( spl0_411
| ~ spl0_60
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1266,f1054,f426,f18000]) ).
fof(f18000,plain,
( spl0_411
<=> ! [X37,X34,X36,X35] :
( theorem(implies(X34,or(X35,X36)))
| ~ theorem(X37)
| ~ theorem(implies(X37,X36)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f1266,plain,
( ! [X36,X37,X34,X35] :
( theorem(implies(X34,or(X35,X36)))
| ~ theorem(X37)
| ~ theorem(implies(X37,X36)) )
| ~ spl0_60
| ~ spl0_117 ),
inference(resolution,[],[f1055,f427]) ).
fof(f17998,plain,
( spl0_410
| ~ spl0_114
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1256,f1054,f1042,f17996]) ).
fof(f17996,plain,
( spl0_410
<=> ! [X2,X4,X3] :
( theorem(implies(X2,X3))
| ~ theorem(or(X4,X4))
| ~ theorem(implies(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f1256,plain,
( ! [X2,X3,X4] :
( theorem(implies(X2,X3))
| ~ theorem(or(X4,X4))
| ~ theorem(implies(X4,X3)) )
| ~ spl0_114
| ~ spl0_117 ),
inference(resolution,[],[f1055,f1043]) ).
fof(f17994,plain,
( spl0_409
| ~ spl0_94
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1253,f1050,f831,f17992]) ).
fof(f17992,plain,
( spl0_409
<=> ! [X55,X56] : theorem(implies(X55,not(implies(implies(X56,X55),not(implies(X56,X55)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f1253,plain,
( ! [X56,X55] : theorem(implies(X55,not(implies(implies(X56,X55),not(implies(X56,X55))))))
| ~ spl0_94
| ~ spl0_116 ),
inference(resolution,[],[f1051,f832]) ).
fof(f17990,plain,
( spl0_408
| ~ spl0_105
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1252,f1050,f1002,f17988]) ).
fof(f17988,plain,
( spl0_408
<=> ! [X54,X52,X53] : theorem(implies(X52,implies(implies(X53,not(implies(X54,X52))),not(X53)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f1252,plain,
( ! [X54,X52,X53] : theorem(implies(X52,implies(implies(X53,not(implies(X54,X52))),not(X53))))
| ~ spl0_105
| ~ spl0_116 ),
inference(resolution,[],[f1051,f1003]) ).
fof(f17986,plain,
( spl0_407
| ~ spl0_108
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1249,f1050,f1014,f17984]) ).
fof(f17984,plain,
( spl0_407
<=> ! [X45,X44,X43,X42] :
( theorem(implies(X42,implies(X43,X44)))
| ~ theorem(implies(implies(X45,X42),X44)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f1249,plain,
( ! [X44,X45,X42,X43] :
( theorem(implies(X42,implies(X43,X44)))
| ~ theorem(implies(implies(X45,X42),X44)) )
| ~ spl0_108
| ~ spl0_116 ),
inference(resolution,[],[f1051,f1015]) ).
fof(f17982,plain,
( spl0_406
| ~ spl0_60
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1245,f1050,f426,f17980]) ).
fof(f17980,plain,
( spl0_406
<=> ! [X32,X33,X30,X31] :
( theorem(implies(X30,or(X31,X32)))
| ~ theorem(implies(implies(X33,X30),X32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f1245,plain,
( ! [X31,X32,X30,X33] :
( theorem(implies(X30,or(X31,X32)))
| ~ theorem(implies(implies(X33,X30),X32)) )
| ~ spl0_60
| ~ spl0_116 ),
inference(resolution,[],[f1051,f427]) ).
fof(f17978,plain,
( spl0_405
| ~ spl0_94
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1230,f1046,f831,f17976]) ).
fof(f17976,plain,
( spl0_405
<=> ! [X52,X51] : theorem(implies(X51,not(implies(or(X52,X51),not(or(X52,X51)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1230,plain,
( ! [X51,X52] : theorem(implies(X51,not(implies(or(X52,X51),not(or(X52,X51))))))
| ~ spl0_94
| ~ spl0_115 ),
inference(resolution,[],[f1047,f832]) ).
fof(f17974,plain,
( spl0_404
| ~ spl0_105
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1229,f1046,f1002,f17972]) ).
fof(f17972,plain,
( spl0_404
<=> ! [X50,X48,X49] : theorem(implies(X48,implies(implies(X49,not(or(X50,X48))),not(X49)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1229,plain,
( ! [X50,X48,X49] : theorem(implies(X48,implies(implies(X49,not(or(X50,X48))),not(X49))))
| ~ spl0_105
| ~ spl0_115 ),
inference(resolution,[],[f1047,f1003]) ).
fof(f17970,plain,
( ~ spl0_403
| spl0_1
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f17388,f16747,f11,f17967]) ).
fof(f17388,plain,
( ~ theorem(or(implies(q,r),not(implies(or(p,q),or(p,r)))))
| spl0_1
| ~ spl0_355 ),
inference(resolution,[],[f16748,f13]) ).
fof(f17965,plain,
( spl0_402
| ~ spl0_108
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1226,f1046,f1014,f17963]) ).
fof(f17963,plain,
( spl0_402
<=> ! [X38,X39,X40,X41] :
( theorem(implies(X38,implies(X39,X40)))
| ~ theorem(implies(or(X41,X38),X40)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1226,plain,
( ! [X40,X38,X41,X39] :
( theorem(implies(X38,implies(X39,X40)))
| ~ theorem(implies(or(X41,X38),X40)) )
| ~ spl0_108
| ~ spl0_115 ),
inference(resolution,[],[f1047,f1015]) ).
fof(f17961,plain,
( spl0_401
| ~ spl0_60
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1222,f1046,f426,f17959]) ).
fof(f17959,plain,
( spl0_401
<=> ! [X29,X27,X28,X26] :
( theorem(implies(X26,or(X27,X28)))
| ~ theorem(implies(or(X29,X26),X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1222,plain,
( ! [X28,X29,X26,X27] :
( theorem(implies(X26,or(X27,X28)))
| ~ theorem(implies(or(X29,X26),X28)) )
| ~ spl0_60
| ~ spl0_115 ),
inference(resolution,[],[f1047,f427]) ).
fof(f17957,plain,
( spl0_400
| ~ spl0_56
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1209,f1042,f410,f17955]) ).
fof(f17955,plain,
( spl0_400
<=> ! [X22,X23] :
( ~ theorem(implies(X22,not(X23)))
| theorem(implies(X23,not(or(X22,X22)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1209,plain,
( ! [X22,X23] :
( ~ theorem(implies(X22,not(X23)))
| theorem(implies(X23,not(or(X22,X22)))) )
| ~ spl0_56
| ~ spl0_114 ),
inference(resolution,[],[f1043,f411]) ).
fof(f17953,plain,
( spl0_399
| ~ spl0_38
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1208,f1042,f259,f17951]) ).
fof(f1208,plain,
( ! [X21] :
( ~ theorem(implies(X21,not(or(X21,X21))))
| theorem(not(or(X21,X21))) )
| ~ spl0_38
| ~ spl0_114 ),
inference(resolution,[],[f1043,f260]) ).
fof(f17949,plain,
( spl0_398
| ~ spl0_110
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1205,f1042,f1026,f17947]) ).
fof(f1205,plain,
( ! [X14,X15] :
( ~ theorem(implies(X14,or(X15,X15)))
| theorem(implies(or(X14,X14),X15)) )
| ~ spl0_110
| ~ spl0_114 ),
inference(resolution,[],[f1043,f1027]) ).
fof(f17945,plain,
( spl0_397
| ~ spl0_109
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1200,f1042,f1018,f17943]) ).
fof(f17943,plain,
( spl0_397
<=> ! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f1200,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X0)) )
| ~ spl0_109
| ~ spl0_114 ),
inference(resolution,[],[f1043,f1019]) ).
fof(f17941,plain,
( spl0_396
| ~ spl0_95
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1170,f1030,f835,f17939]) ).
fof(f17939,plain,
( spl0_396
<=> ! [X24,X25,X23] :
( ~ theorem(or(or(X23,X24),X23))
| theorem(or(X25,or(X23,X24))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f1170,plain,
( ! [X24,X25,X23] :
( ~ theorem(or(or(X23,X24),X23))
| theorem(or(X25,or(X23,X24))) )
| ~ spl0_95
| ~ spl0_111 ),
inference(resolution,[],[f1031,f836]) ).
fof(f17937,plain,
( spl0_395
| ~ spl0_77
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1168,f1030,f643,f17935]) ).
fof(f17935,plain,
( spl0_395
<=> ! [X18,X17,X16,X19] :
( ~ theorem(or(X16,X17))
| theorem(or(X16,implies(X18,or(X17,X19)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f1168,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(or(X16,X17))
| theorem(or(X16,implies(X18,or(X17,X19)))) )
| ~ spl0_77
| ~ spl0_111 ),
inference(resolution,[],[f1031,f644]) ).
fof(f17933,plain,
( spl0_394
| ~ spl0_75
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1167,f1030,f635,f17931]) ).
fof(f17931,plain,
( spl0_394
<=> ! [X13,X14,X12,X15] :
( ~ theorem(or(X12,X13))
| theorem(or(X12,or(X14,or(X13,X15)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f1167,plain,
( ! [X14,X15,X12,X13] :
( ~ theorem(or(X12,X13))
| theorem(or(X12,or(X14,or(X13,X15)))) )
| ~ spl0_75
| ~ spl0_111 ),
inference(resolution,[],[f1031,f636]) ).
fof(f17929,plain,
( spl0_393
| ~ spl0_33
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1161,f1026,f211,f17927]) ).
fof(f17927,plain,
( spl0_393
<=> ! [X18,X17] : theorem(implies(implies(X17,or(implies(X17,X18),X18)),implies(X17,X18))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f1161,plain,
( ! [X18,X17] : theorem(implies(implies(X17,or(implies(X17,X18),X18)),implies(X17,X18)))
| ~ spl0_33
| ~ spl0_110 ),
inference(resolution,[],[f1027,f212]) ).
fof(f17923,plain,
( spl0_392
| ~ spl0_17
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1151,f1026,f110,f17921]) ).
fof(f17921,plain,
( spl0_392
<=> ! [X2,X1] : theorem(implies(or(X1,or(or(X1,X2),X2)),or(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f1151,plain,
( ! [X2,X1] : theorem(implies(or(X1,or(or(X1,X2),X2)),or(X1,X2)))
| ~ spl0_17
| ~ spl0_110 ),
inference(resolution,[],[f1027,f111]) ).
fof(f17919,plain,
( spl0_391
| ~ spl0_105
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1139,f1018,f1002,f17917]) ).
fof(f17917,plain,
( spl0_391
<=> ! [X57,X56,X58] :
( theorem(or(X56,implies(implies(X57,not(X58)),not(X57))))
| ~ theorem(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f1139,plain,
( ! [X58,X56,X57] :
( theorem(or(X56,implies(implies(X57,not(X58)),not(X57))))
| ~ theorem(X58) )
| ~ spl0_105
| ~ spl0_109 ),
inference(resolution,[],[f1019,f1003]) ).
fof(f17915,plain,
( spl0_390
| ~ spl0_61
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1102,f1010,f430,f17913]) ).
fof(f17913,plain,
( spl0_390
<=> ! [X12,X11,X10] :
( ~ theorem(or(or(X10,X10),X11))
| theorem(or(implies(X12,X11),X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f1102,plain,
( ! [X10,X11,X12] :
( ~ theorem(or(or(X10,X10),X11))
| theorem(or(implies(X12,X11),X10)) )
| ~ spl0_61
| ~ spl0_107 ),
inference(resolution,[],[f1011,f431]) ).
fof(f17911,plain,
( spl0_389
| ~ spl0_39
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1097,f1006,f264,f17909]) ).
fof(f17909,plain,
( spl0_389
<=> ! [X41,X40] :
( theorem(implies(X40,not(X41)))
| ~ theorem(implies(X41,implies(X40,not(X41)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f1097,plain,
( ! [X40,X41] :
( theorem(implies(X40,not(X41)))
| ~ theorem(implies(X41,implies(X40,not(X41)))) )
| ~ spl0_39
| ~ spl0_106 ),
inference(resolution,[],[f1007,f265]) ).
fof(f17907,plain,
( spl0_388
| ~ spl0_82
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f928,f847,f663,f17905]) ).
fof(f17905,plain,
( spl0_388
<=> ! [X4,X2,X3] :
( theorem(or(X2,implies(X3,X4)))
| ~ theorem(implies(not(not(X3)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f928,plain,
( ! [X2,X3,X4] :
( theorem(or(X2,implies(X3,X4)))
| ~ theorem(implies(not(not(X3)),X4)) )
| ~ spl0_82
| ~ spl0_98 ),
inference(resolution,[],[f848,f664]) ).
fof(f17903,plain,
( spl0_387
| ~ spl0_80
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f918,f843,f655,f17901]) ).
fof(f17901,plain,
( spl0_387
<=> ! [X11,X12,X14,X13] :
( ~ theorem(implies(X11,X12))
| theorem(or(X13,implies(X11,implies(X14,X12)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f843,plain,
( spl0_97
<=> ! [X2,X0,X1] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f918,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(implies(X11,X12))
| theorem(or(X13,implies(X11,implies(X14,X12)))) )
| ~ spl0_80
| ~ spl0_97 ),
inference(resolution,[],[f844,f656]) ).
fof(f844,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f17899,plain,
( spl0_386
| ~ spl0_81
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f917,f843,f659,f17897]) ).
fof(f17897,plain,
( spl0_386
<=> ! [X9,X8,X7,X10] :
( ~ theorem(or(X7,X8))
| theorem(or(X9,or(X7,implies(X10,X8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f917,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(or(X7,X8))
| theorem(or(X9,or(X7,implies(X10,X8)))) )
| ~ spl0_81
| ~ spl0_97 ),
inference(resolution,[],[f844,f660]) ).
fof(f17895,plain,
( spl0_385
| ~ spl0_82
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f915,f843,f663,f17893]) ).
fof(f17893,plain,
( spl0_385
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,implies(X2,X3)))
| ~ theorem(implies(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f915,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,implies(X2,X3)))
| ~ theorem(implies(X0,X3)) )
| ~ spl0_82
| ~ spl0_97 ),
inference(resolution,[],[f844,f664]) ).
fof(f17891,plain,
( spl0_384
| ~ spl0_77
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f907,f839,f643,f17889]) ).
fof(f17889,plain,
( spl0_384
<=> ! [X18,X16,X17,X19] :
( ~ theorem(implies(X16,X17))
| theorem(or(X18,implies(X16,or(X19,X17)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f839,plain,
( spl0_96
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f907,plain,
( ! [X18,X19,X16,X17] :
( ~ theorem(implies(X16,X17))
| theorem(or(X18,implies(X16,or(X19,X17)))) )
| ~ spl0_77
| ~ spl0_96 ),
inference(resolution,[],[f840,f644]) ).
fof(f840,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f17887,plain,
( spl0_383
| ~ spl0_75
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f906,f839,f635,f17885]) ).
fof(f17885,plain,
( spl0_383
<=> ! [X13,X12,X14,X15] :
( ~ theorem(or(X12,X13))
| theorem(or(X14,or(X12,or(X15,X13)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f906,plain,
( ! [X14,X15,X12,X13] :
( ~ theorem(or(X12,X13))
| theorem(or(X14,or(X12,or(X15,X13)))) )
| ~ spl0_75
| ~ spl0_96 ),
inference(resolution,[],[f840,f636]) ).
fof(f17880,plain,
( spl0_382
| ~ spl0_76
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f903,f839,f639,f17878]) ).
fof(f17878,plain,
( spl0_382
<=> ! [X3,X4,X5,X2] :
( ~ theorem(X2)
| theorem(or(X3,or(X4,X5)))
| ~ theorem(implies(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f903,plain,
( ! [X2,X3,X4,X5] :
( ~ theorem(X2)
| theorem(or(X3,or(X4,X5)))
| ~ theorem(implies(X2,X5)) )
| ~ spl0_76
| ~ spl0_96 ),
inference(resolution,[],[f840,f640]) ).
fof(f17876,plain,
( spl0_381
| ~ spl0_59
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f894,f835,f422,f17874]) ).
fof(f894,plain,
( ! [X16,X17,X15] :
( theorem(or(X15,implies(X16,X17)))
| ~ theorem(or(implies(X16,X17),X17)) )
| ~ spl0_59
| ~ spl0_95 ),
inference(resolution,[],[f836,f423]) ).
fof(f17872,plain,
( spl0_380
| ~ spl0_43
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f891,f835,f289,f17870]) ).
fof(f17870,plain,
( spl0_380
<=> ! [X9,X8,X7] :
( theorem(or(X7,or(X8,X9)))
| ~ theorem(or(or(X8,X9),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f891,plain,
( ! [X8,X9,X7] :
( theorem(or(X7,or(X8,X9)))
| ~ theorem(or(or(X8,X9),X9)) )
| ~ spl0_43
| ~ spl0_95 ),
inference(resolution,[],[f836,f290]) ).
fof(f17868,plain,
( spl0_379
| ~ spl0_47
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f886,f831,f312,f17866]) ).
fof(f17866,plain,
( spl0_379
<=> ! [X4,X3] :
( theorem(or(X3,not(implies(X4,not(X4)))))
| ~ theorem(or(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f886,plain,
( ! [X3,X4] :
( theorem(or(X3,not(implies(X4,not(X4)))))
| ~ theorem(or(X3,X4)) )
| ~ spl0_47
| ~ spl0_94 ),
inference(resolution,[],[f832,f313]) ).
fof(f17864,plain,
( spl0_378
| ~ spl0_70
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f885,f831,f507,f17862]) ).
fof(f17862,plain,
( spl0_378
<=> ! [X2,X1] :
( theorem(implies(X1,X2))
| ~ theorem(implies(not(implies(X1,not(X1))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f885,plain,
( ! [X2,X1] :
( theorem(implies(X1,X2))
| ~ theorem(implies(not(implies(X1,not(X1))),X2)) )
| ~ spl0_70
| ~ spl0_94 ),
inference(resolution,[],[f832,f508]) ).
fof(f17860,plain,
( spl0_377
| ~ spl0_69
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f880,f827,f503,f17858]) ).
fof(f17858,plain,
( spl0_377
<=> ! [X41,X40] : theorem(or(implies(or(X40,implies(X41,not(X41))),X40),not(X41))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f880,plain,
( ! [X40,X41] : theorem(or(implies(or(X40,implies(X41,not(X41))),X40),not(X41)))
| ~ spl0_69
| ~ spl0_93 ),
inference(resolution,[],[f828,f504]) ).
fof(f17856,plain,
( spl0_376
| ~ spl0_44
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f877,f827,f300,f17854]) ).
fof(f17854,plain,
( spl0_376
<=> ! [X29,X30,X31] : theorem(implies(X29,or(implies(or(X30,implies(X29,X31)),X30),X31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f877,plain,
( ! [X31,X29,X30] : theorem(implies(X29,or(implies(or(X30,implies(X29,X31)),X30),X31)))
| ~ spl0_44
| ~ spl0_93 ),
inference(resolution,[],[f828,f301]) ).
fof(f17852,plain,
( spl0_375
| ~ spl0_31
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f872,f827,f203,f17850]) ).
fof(f17850,plain,
( spl0_375
<=> ! [X13,X12,X11] : theorem(or(X11,or(implies(or(X12,or(X11,X13)),X12),X13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f872,plain,
( ! [X11,X12,X13] : theorem(or(X11,or(implies(or(X12,or(X11,X13)),X12),X13)))
| ~ spl0_31
| ~ spl0_93 ),
inference(resolution,[],[f828,f204]) ).
fof(f17848,plain,
( spl0_374
| ~ spl0_68
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f871,f827,f499,f17846]) ).
fof(f17846,plain,
( spl0_374
<=> ! [X9,X8,X10] : theorem(or(implies(or(X8,or(X9,X10)),X8),or(X10,X9))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f871,plain,
( ! [X10,X8,X9] : theorem(or(implies(or(X8,or(X9,X10)),X8),or(X10,X9)))
| ~ spl0_68
| ~ spl0_93 ),
inference(resolution,[],[f828,f500]) ).
fof(f17816,plain,
( ~ spl0_373
| spl0_85
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f17349,f16743,f766,f17813]) ).
fof(f766,plain,
( spl0_85
<=> theorem(implies(implies(or(p,q),or(p,r)),implies(q,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f17349,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),not(q)))
| spl0_85
| ~ spl0_354 ),
inference(resolution,[],[f16744,f768]) ).
fof(f768,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),implies(q,r)))
| spl0_85 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f17460,plain,
( ~ spl0_372
| spl0_1
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f17261,f16731,f11,f17457]) ).
fof(f17457,plain,
( spl0_372
<=> theorem(or(p,not(implies(or(p,q),or(p,r))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f17261,plain,
( ~ theorem(or(p,not(implies(or(p,q),or(p,r)))))
| spl0_1
| ~ spl0_351 ),
inference(resolution,[],[f16732,f13]) ).
fof(f17119,plain,
( spl0_371
| ~ spl0_116
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f2095,f2038,f1050,f17117]) ).
fof(f17117,plain,
( spl0_371
<=> ! [X36,X37,X35] : theorem(implies(X35,or(implies(X36,X35),X37))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f2095,plain,
( ! [X36,X37,X35] : theorem(implies(X35,or(implies(X36,X35),X37)))
| ~ spl0_116
| ~ spl0_165 ),
inference(resolution,[],[f2039,f1051]) ).
fof(f16809,plain,
( spl0_370
| ~ spl0_115
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f2093,f2038,f1046,f16807]) ).
fof(f16807,plain,
( spl0_370
<=> ! [X29,X30,X31] : theorem(implies(X29,or(or(X30,X29),X31))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f2093,plain,
( ! [X31,X29,X30] : theorem(implies(X29,or(or(X30,X29),X31)))
| ~ spl0_115
| ~ spl0_165 ),
inference(resolution,[],[f2039,f1047]) ).
fof(f16805,plain,
( spl0_369
| ~ spl0_99
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f4040,f3974,f936,f16803]) ).
fof(f16803,plain,
( spl0_369
<=> ! [X18,X17,X19] :
( theorem(implies(implies(X17,X18),implies(X17,X19)))
| ~ theorem(not(X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f4040,plain,
( ! [X18,X19,X17] :
( theorem(implies(implies(X17,X18),implies(X17,X19)))
| ~ theorem(not(X18)) )
| ~ spl0_99
| ~ spl0_233 ),
inference(resolution,[],[f3975,f937]) ).
fof(f16801,plain,
( spl0_368
| ~ spl0_99
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f3992,f3970,f936,f16799]) ).
fof(f16799,plain,
( spl0_368
<=> ! [X20,X19,X18] :
( theorem(implies(or(X18,X19),or(X18,X20)))
| ~ theorem(not(X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f3992,plain,
( ! [X18,X19,X20] :
( theorem(implies(or(X18,X19),or(X18,X20)))
| ~ theorem(not(X19)) )
| ~ spl0_99
| ~ spl0_232 ),
inference(resolution,[],[f3971,f937]) ).
fof(f16797,plain,
( spl0_367
| ~ spl0_121
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f3720,f3666,f1070,f16795]) ).
fof(f16795,plain,
( spl0_367
<=> ! [X50,X51,X49] : theorem(or(X49,or(implies(implies(X50,X51),X51),not(X50)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f3720,plain,
( ! [X50,X51,X49] : theorem(or(X49,or(implies(implies(X50,X51),X51),not(X50))))
| ~ spl0_121
| ~ spl0_221 ),
inference(resolution,[],[f3667,f1071]) ).
fof(f16793,plain,
( spl0_366
| ~ spl0_49
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f3603,f3600,f355,f16791]) ).
fof(f16791,plain,
( spl0_366
<=> ! [X2,X0,X1] :
( ~ theorem(implies(not(X0),X1))
| theorem(or(X2,or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f355,plain,
( spl0_49
<=> ! [X11,X10] : theorem(or(X10,implies(X11,X11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f3603,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(not(X0),X1))
| theorem(or(X2,or(X0,X1))) )
| ~ spl0_49
| ~ spl0_220 ),
inference(resolution,[],[f3601,f356]) ).
fof(f356,plain,
( ! [X10,X11] : theorem(or(X10,implies(X11,X11)))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f16789,plain,
( spl0_365
| ~ spl0_100
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f3453,f2861,f940,f16787]) ).
fof(f16787,plain,
( spl0_365
<=> ! [X31,X34,X33,X32] :
( theorem(implies(X31,or(X32,implies(X33,X34))))
| ~ theorem(not(X33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f3453,plain,
( ! [X31,X34,X32,X33] :
( theorem(implies(X31,or(X32,implies(X33,X34))))
| ~ theorem(not(X33)) )
| ~ spl0_100
| ~ spl0_213 ),
inference(resolution,[],[f2862,f941]) ).
fof(f16785,plain,
( spl0_364
| ~ spl0_100
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f3395,f2845,f940,f16783]) ).
fof(f16783,plain,
( spl0_364
<=> ! [X28,X27,X25,X26] :
( theorem(implies(X25,implies(X26,implies(X27,X28))))
| ~ theorem(not(X27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f3395,plain,
( ! [X28,X26,X27,X25] :
( theorem(implies(X25,implies(X26,implies(X27,X28))))
| ~ theorem(not(X27)) )
| ~ spl0_100
| ~ spl0_209 ),
inference(resolution,[],[f2846,f941]) ).
fof(f16781,plain,
( spl0_363
| ~ spl0_6
| ~ spl0_61
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1964,f1871,f430,f34,f16779]) ).
fof(f1964,plain,
( ! [X3,X4] :
( ~ theorem(implies(X3,implies(X3,X4)))
| theorem(or(X4,not(X3))) )
| ~ spl0_6
| ~ spl0_61
| ~ spl0_156 ),
inference(forward_demodulation,[],[f1951,f35]) ).
fof(f1951,plain,
( ! [X3,X4] :
( ~ theorem(or(not(X3),implies(X3,X4)))
| theorem(or(X4,not(X3))) )
| ~ spl0_61
| ~ spl0_156 ),
inference(resolution,[],[f1872,f431]) ).
fof(f16777,plain,
( spl0_362
| ~ spl0_24
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1918,f1863,f163,f16775]) ).
fof(f16775,plain,
( spl0_362
<=> ! [X36,X37,X35] : theorem(implies(implies(X35,X36),implies(X37,or(X36,not(X35))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f1918,plain,
( ! [X36,X37,X35] : theorem(implies(implies(X35,X36),implies(X37,or(X36,not(X35)))))
| ~ spl0_24
| ~ spl0_154 ),
inference(resolution,[],[f1864,f164]) ).
fof(f16773,plain,
( spl0_361
| ~ spl0_11
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1915,f1863,f73,f16771]) ).
fof(f16771,plain,
( spl0_361
<=> ! [X25,X24,X26] : theorem(implies(implies(X24,X25),or(X26,or(X25,not(X24))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f1915,plain,
( ! [X26,X24,X25] : theorem(implies(implies(X24,X25),or(X26,or(X25,not(X24)))))
| ~ spl0_11
| ~ spl0_154 ),
inference(resolution,[],[f1864,f74]) ).
fof(f16769,plain,
( spl0_360
| ~ spl0_115
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1888,f1859,f1046,f16767]) ).
fof(f16767,plain,
( spl0_360
<=> ! [X9,X8,X7] :
( ~ theorem(implies(implies(X7,X8),X9))
| theorem(implies(not(X7),X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f1888,plain,
( ! [X8,X9,X7] :
( ~ theorem(implies(implies(X7,X8),X9))
| theorem(implies(not(X7),X9)) )
| ~ spl0_115
| ~ spl0_153 ),
inference(resolution,[],[f1860,f1047]) ).
fof(f16765,plain,
( spl0_359
| ~ spl0_104
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1275,f1054,f956,f16763]) ).
fof(f16763,plain,
( spl0_359
<=> ! [X64,X65] :
( theorem(implies(X64,not(not(X65))))
| ~ theorem(X65) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f1275,plain,
( ! [X65,X64] :
( theorem(implies(X64,not(not(X65))))
| ~ theorem(X65) )
| ~ spl0_104
| ~ spl0_117 ),
inference(resolution,[],[f1055,f957]) ).
fof(f16761,plain,
( spl0_358
| ~ spl0_50
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1728,f1471,f363,f16759]) ).
fof(f1728,plain,
( ! [X21,X22,X23] :
( theorem(implies(or(X21,X22),X23))
| ~ theorem(not(or(X22,X21))) )
| ~ spl0_50
| ~ spl0_142 ),
inference(resolution,[],[f1472,f364]) ).
fof(f16757,plain,
( spl0_357
| ~ spl0_99
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1535,f1414,f936,f16755]) ).
fof(f16755,plain,
( spl0_357
<=> ! [X62,X64,X63,X65] :
( theorem(or(or(X62,implies(X63,X64)),X65))
| ~ theorem(not(X63)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f1535,plain,
( ! [X65,X62,X63,X64] :
( theorem(or(or(X62,implies(X63,X64)),X65))
| ~ theorem(not(X63)) )
| ~ spl0_99
| ~ spl0_128 ),
inference(resolution,[],[f1415,f937]) ).
fof(f16753,plain,
( spl0_356
| ~ spl0_26
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1403,f1341,f175,f16751]) ).
fof(f16751,plain,
( spl0_356
<=> ! [X29,X30,X31] :
( ~ theorem(or(X29,not(X30)))
| theorem(or(implies(X30,X29),X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f1403,plain,
( ! [X31,X29,X30] :
( ~ theorem(or(X29,not(X30)))
| theorem(or(implies(X30,X29),X31)) )
| ~ spl0_26
| ~ spl0_126 ),
inference(resolution,[],[f1342,f176]) ).
fof(f16749,plain,
( spl0_355
| ~ spl0_44
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1395,f1341,f300,f16747]) ).
fof(f1395,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(X4,not(X5)))
| theorem(implies(X5,or(X6,X4))) )
| ~ spl0_44
| ~ spl0_126 ),
inference(resolution,[],[f1342,f301]) ).
fof(f16745,plain,
( spl0_354
| ~ spl0_6
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1393,f1337,f34,f16743]) ).
fof(f1393,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,not(X1)))
| theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_6
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1392,f35]) ).
fof(f1392,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(or(not(X0),not(X1))) )
| ~ spl0_6
| ~ spl0_125 ),
inference(superposition,[],[f1338,f35]) ).
fof(f16741,plain,
( spl0_353
| ~ spl0_26
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1388,f1337,f175,f16739]) ).
fof(f16739,plain,
( spl0_353
<=> ! [X29,X30,X31] :
( ~ theorem(or(X29,not(X30)))
| theorem(or(implies(X30,X31),X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f1388,plain,
( ! [X31,X29,X30] :
( ~ theorem(or(X29,not(X30)))
| theorem(or(implies(X30,X31),X29)) )
| ~ spl0_26
| ~ spl0_125 ),
inference(resolution,[],[f1338,f176]) ).
fof(f16737,plain,
( spl0_352
| ~ spl0_19
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1386,f1337,f118,f16735]) ).
fof(f16735,plain,
( spl0_352
<=> ! [X24,X23] :
( ~ theorem(or(implies(X23,X24),not(X23)))
| theorem(implies(X23,X24)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f1386,plain,
( ! [X24,X23] :
( ~ theorem(or(implies(X23,X24),not(X23)))
| theorem(implies(X23,X24)) )
| ~ spl0_19
| ~ spl0_125 ),
inference(resolution,[],[f1338,f119]) ).
fof(f16733,plain,
( spl0_351
| ~ spl0_44
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1380,f1337,f300,f16731]) ).
fof(f1380,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(X4,not(X5)))
| theorem(implies(X5,or(X4,X6))) )
| ~ spl0_44
| ~ spl0_125 ),
inference(resolution,[],[f1338,f301]) ).
fof(f16729,plain,
( spl0_350
| ~ spl0_6
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1378,f1331,f34,f16727]) ).
fof(f16727,plain,
( spl0_350
<=> ! [X2,X0,X1] :
( theorem(implies(X0,X2))
| ~ theorem(implies(X0,X1))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f1378,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,X2))
| ~ theorem(implies(X0,X1))
| ~ theorem(not(X1)) )
| ~ spl0_6
| ~ spl0_124 ),
inference(forward_demodulation,[],[f1377,f35]) ).
fof(f1377,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(not(X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_6
| ~ spl0_124 ),
inference(superposition,[],[f1332,f35]) ).
fof(f16725,plain,
( spl0_349
| ~ spl0_93
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1374,f1331,f827,f16723]) ).
fof(f16723,plain,
( spl0_349
<=> ! [X116,X114,X115] :
( theorem(or(implies(or(X114,X115),X114),X116))
| ~ theorem(not(X115)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f1374,plain,
( ! [X116,X114,X115] :
( theorem(or(implies(or(X114,X115),X114),X116))
| ~ theorem(not(X115)) )
| ~ spl0_93
| ~ spl0_124 ),
inference(resolution,[],[f1332,f828]) ).
fof(f16721,plain,
( spl0_348
| ~ spl0_104
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1254,f1050,f956,f16719]) ).
fof(f16719,plain,
( spl0_348
<=> ! [X57,X58] : theorem(implies(X57,not(not(implies(X58,X57))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f1254,plain,
( ! [X58,X57] : theorem(implies(X57,not(not(implies(X58,X57)))))
| ~ spl0_104
| ~ spl0_116 ),
inference(resolution,[],[f1051,f957]) ).
fof(f16717,plain,
( spl0_347
| spl0_268
| ~ spl0_98
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1368,f1331,f847,f4912,f16715]) ).
fof(f16715,plain,
( spl0_347
<=> ! [X96] : ~ theorem(not(implies(X96,not(not(X96))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f1368,plain,
( ! [X96,X94,X95] :
( theorem(or(X94,X95))
| ~ theorem(not(implies(X96,not(not(X96))))) )
| ~ spl0_98
| ~ spl0_124 ),
inference(resolution,[],[f1332,f848]) ).
fof(f16713,plain,
( spl0_346
| ~ spl0_54
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1355,f1331,f385,f16711]) ).
fof(f16711,plain,
( spl0_346
<=> ! [X43,X44,X42] :
( theorem(or(X42,X43))
| ~ theorem(not(implies(or(X44,X42),X44))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f1355,plain,
( ! [X44,X42,X43] :
( theorem(or(X42,X43))
| ~ theorem(not(implies(or(X44,X42),X44))) )
| ~ spl0_54
| ~ spl0_124 ),
inference(resolution,[],[f1332,f386]) ).
fof(f16488,plain,
( spl0_345
| ~ spl0_104
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1231,f1046,f956,f16486]) ).
fof(f16486,plain,
( spl0_345
<=> ! [X54,X53] : theorem(implies(X53,not(not(or(X54,X53))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f1231,plain,
( ! [X54,X53] : theorem(implies(X53,not(not(or(X54,X53)))))
| ~ spl0_104
| ~ spl0_115 ),
inference(resolution,[],[f1047,f957]) ).
fof(f16218,plain,
( spl0_344
| ~ spl0_104
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1141,f1018,f956,f16216]) ).
fof(f16216,plain,
( spl0_344
<=> ! [X61,X62] :
( theorem(or(X61,not(not(X62))))
| ~ theorem(X62) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f1141,plain,
( ! [X62,X61] :
( theorem(or(X61,not(not(X62))))
| ~ theorem(X62) )
| ~ spl0_104
| ~ spl0_109 ),
inference(resolution,[],[f1019,f957]) ).
fof(f13810,plain,
( spl0_343
| ~ spl0_6
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f11031,f11028,f34,f13808]) ).
fof(f13808,plain,
( spl0_343
<=> ! [X0,X1] :
( ~ theorem(not(implies(X0,X1)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f11028,plain,
( spl0_341
<=> ! [X16,X17] :
( ~ theorem(not(or(X16,X17)))
| ~ theorem(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f11031,plain,
( ! [X0,X1] :
( ~ theorem(not(implies(X0,X1)))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_341 ),
inference(superposition,[],[f11029,f35]) ).
fof(f11029,plain,
( ! [X16,X17] :
( ~ theorem(not(or(X16,X17)))
| ~ theorem(X17) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f11028]) ).
fof(f11053,plain,
( ~ spl0_268
| spl0_329 ),
inference(avatar_contradiction_clause,[],[f11043]) ).
fof(f11043,plain,
( $false
| ~ spl0_268
| spl0_329 ),
inference(resolution,[],[f4913,f10126]) ).
fof(f10126,plain,
( ~ theorem(or(implies(q,r),p))
| spl0_329 ),
inference(avatar_component_clause,[],[f10124]) ).
fof(f10124,plain,
( spl0_329
<=> theorem(or(implies(q,r),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f4913,plain,
( ! [X40,X39] : theorem(or(X39,X40))
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f4912]) ).
fof(f11052,plain,
( spl0_41
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f11044]) ).
fof(f11044,plain,
( $false
| spl0_41
| ~ spl0_268 ),
inference(resolution,[],[f4913,f274]) ).
fof(f274,plain,
( ~ theorem(or(p,implies(q,r)))
| spl0_41 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl0_41
<=> theorem(or(p,implies(q,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f11051,plain,
( spl0_71
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f11045]) ).
fof(f11045,plain,
( $false
| spl0_71
| ~ spl0_268 ),
inference(resolution,[],[f4913,f534]) ).
fof(f534,plain,
( ~ theorem(or(p,r))
| spl0_71 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl0_71
<=> theorem(or(p,r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f11050,plain,
( spl0_132
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f11046]) ).
fof(f11046,plain,
( $false
| spl0_132
| ~ spl0_268 ),
inference(resolution,[],[f4913,f1432]) ).
fof(f1432,plain,
( ~ theorem(or(p,not(q)))
| spl0_132 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1430,plain,
( spl0_132
<=> theorem(or(p,not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f11049,plain,
( spl0_143
| ~ spl0_268 ),
inference(avatar_contradiction_clause,[],[f11047]) ).
fof(f11047,plain,
( $false
| spl0_143
| ~ spl0_268 ),
inference(resolution,[],[f4913,f1477]) ).
fof(f1477,plain,
( ~ theorem(or(r,not(q)))
| spl0_143 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f1475,plain,
( spl0_143
<=> theorem(or(r,not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f11035,plain,
( spl0_342
| spl0_268
| ~ spl0_52
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1349,f1331,f377,f4912,f11033]) ).
fof(f377,plain,
( spl0_52
<=> ! [X4,X5,X3] :
( ~ theorem(X3)
| theorem(or(X4,or(X3,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1349,plain,
( ! [X21,X18,X19,X20] :
( theorem(or(X18,X19))
| ~ theorem(not(or(X20,X21)))
| ~ theorem(X20) )
| ~ spl0_52
| ~ spl0_124 ),
inference(resolution,[],[f1332,f378]) ).
fof(f378,plain,
( ! [X3,X4,X5] :
( theorem(or(X4,or(X3,X5)))
| ~ theorem(X3) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f11030,plain,
( spl0_341
| spl0_268
| ~ spl0_96
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1348,f1331,f839,f4912,f11028]) ).
fof(f1348,plain,
( ! [X16,X14,X17,X15] :
( theorem(or(X14,X15))
| ~ theorem(not(or(X16,X17)))
| ~ theorem(X17) )
| ~ spl0_96
| ~ spl0_124 ),
inference(resolution,[],[f1332,f840]) ).
fof(f11020,plain,
( spl0_340
| ~ spl0_27
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1282,f1054,f182,f11018]) ).
fof(f11018,plain,
( spl0_340
<=> ! [X87,X89,X88] :
( theorem(implies(X87,or(X88,not(X89))))
| ~ theorem(implies(X89,X88)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f1282,plain,
( ! [X88,X89,X87] :
( theorem(implies(X87,or(X88,not(X89))))
| ~ theorem(implies(X89,X88)) )
| ~ spl0_27
| ~ spl0_117 ),
inference(resolution,[],[f1055,f183]) ).
fof(f11016,plain,
( spl0_339
| ~ spl0_101
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1272,f1054,f944,f11014]) ).
fof(f11014,plain,
( spl0_339
<=> ! [X57,X56,X58] :
( theorem(implies(X56,implies(or(X57,not(X58)),X57)))
| ~ theorem(X58) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f1272,plain,
( ! [X58,X56,X57] :
( theorem(implies(X56,implies(or(X57,not(X58)),X57)))
| ~ theorem(X58) )
| ~ spl0_101
| ~ spl0_117 ),
inference(resolution,[],[f1055,f945]) ).
fof(f11012,plain,
( spl0_338
| ~ spl0_28
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1260,f1054,f186,f11010]) ).
fof(f1260,plain,
( ! [X18,X16,X17] :
( theorem(implies(X16,implies(X17,X18)))
| ~ theorem(or(X18,not(X17))) )
| ~ spl0_28
| ~ spl0_117 ),
inference(resolution,[],[f1055,f187]) ).
fof(f11008,plain,
( spl0_337
| ~ spl0_101
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1251,f1050,f944,f11006]) ).
fof(f11006,plain,
( spl0_337
<=> ! [X50,X51,X49] : theorem(implies(X49,implies(or(X50,not(implies(X51,X49))),X50))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f1251,plain,
( ! [X50,X51,X49] : theorem(implies(X49,implies(or(X50,not(implies(X51,X49))),X50)))
| ~ spl0_101
| ~ spl0_116 ),
inference(resolution,[],[f1051,f945]) ).
fof(f11004,plain,
( spl0_336
| ~ spl0_101
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1228,f1046,f944,f11002]) ).
fof(f11002,plain,
( spl0_336
<=> ! [X45,X46,X47] : theorem(implies(X45,implies(or(X46,not(or(X47,X45))),X46))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f1228,plain,
( ! [X46,X47,X45] : theorem(implies(X45,implies(or(X46,not(or(X47,X45))),X46)))
| ~ spl0_101
| ~ spl0_115 ),
inference(resolution,[],[f1047,f945]) ).
fof(f11000,plain,
( spl0_335
| ~ spl0_27
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1148,f1018,f182,f10998]) ).
fof(f10998,plain,
( spl0_335
<=> ! [X86,X84,X85] :
( theorem(or(X84,or(X85,not(X86))))
| ~ theorem(implies(X86,X85)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f1148,plain,
( ! [X86,X84,X85] :
( theorem(or(X84,or(X85,not(X86))))
| ~ theorem(implies(X86,X85)) )
| ~ spl0_27
| ~ spl0_109 ),
inference(resolution,[],[f1019,f183]) ).
fof(f10996,plain,
( spl0_334
| ~ spl0_101
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1138,f1018,f944,f10994]) ).
fof(f10994,plain,
( spl0_334
<=> ! [X54,X53,X55] :
( theorem(or(X53,implies(or(X54,not(X55)),X54)))
| ~ theorem(X55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f1138,plain,
( ! [X54,X55,X53] :
( theorem(or(X53,implies(or(X54,not(X55)),X54)))
| ~ theorem(X55) )
| ~ spl0_101
| ~ spl0_109 ),
inference(resolution,[],[f1019,f945]) ).
fof(f10992,plain,
( spl0_333
| ~ spl0_61
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f982,f948,f430,f10990]) ).
fof(f10990,plain,
( spl0_333
<=> ! [X2,X3] : theorem(or(implies(implies(X2,or(X3,X3)),not(X2)),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f982,plain,
( ! [X2,X3] : theorem(or(implies(implies(X2,or(X3,X3)),not(X2)),X3))
| ~ spl0_61
| ~ spl0_102 ),
inference(resolution,[],[f949,f431]) ).
fof(f10988,plain,
( spl0_332
| ~ spl0_80
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f962,f936,f655,f10986]) ).
fof(f10986,plain,
( spl0_332
<=> ! [X13,X12,X11,X14] :
( ~ theorem(not(X11))
| theorem(or(X12,implies(X13,implies(X11,X14)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f962,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(not(X11))
| theorem(or(X12,implies(X13,implies(X11,X14)))) )
| ~ spl0_80
| ~ spl0_99 ),
inference(resolution,[],[f937,f656]) ).
fof(f10984,plain,
( spl0_331
| ~ spl0_81
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f961,f936,f659,f10982]) ).
fof(f10982,plain,
( spl0_331
<=> ! [X9,X7,X8,X10] :
( ~ theorem(not(X7))
| theorem(or(X8,or(X9,implies(X7,X10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f961,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(not(X7))
| theorem(or(X8,or(X9,implies(X7,X10)))) )
| ~ spl0_81
| ~ spl0_99 ),
inference(resolution,[],[f937,f660]) ).
fof(f10693,plain,
( ~ spl0_330
| spl0_1
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f9810,f9192,f11,f10690]) ).
fof(f10690,plain,
( spl0_330
<=> theorem(implies(implies(or(p,q),or(p,r)),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f9810,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),p))
| spl0_1
| ~ spl0_286 ),
inference(resolution,[],[f9193,f13]) ).
fof(f10127,plain,
( ~ spl0_329
| spl0_1
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f9903,f9224,f11,f10124]) ).
fof(f9903,plain,
( ~ theorem(or(implies(q,r),p))
| spl0_1
| ~ spl0_289 ),
inference(resolution,[],[f9225,f13]) ).
fof(f9782,plain,
( spl0_328
| ~ spl0_6
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f9352,f9260,f34,f9780]) ).
fof(f9780,plain,
( spl0_328
<=> ! [X0,X1] : theorem(or(implies(X0,X1),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f9260,plain,
( spl0_298
<=> ! [X2,X1] : theorem(or(or(X1,X2),not(X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f9352,plain,
( ! [X0,X1] : theorem(or(implies(X0,X1),not(X1)))
| ~ spl0_6
| ~ spl0_298 ),
inference(superposition,[],[f9261,f35]) ).
fof(f9261,plain,
( ! [X2,X1] : theorem(or(or(X1,X2),not(X2)))
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f9260]) ).
fof(f9385,plain,
( spl0_327
| ~ spl0_98
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f4053,f3974,f847,f9383]) ).
fof(f9383,plain,
( spl0_327
<=> ! [X64,X65] : theorem(implies(implies(X64,X65),implies(X64,not(not(X65))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f4053,plain,
( ! [X65,X64] : theorem(implies(implies(X64,X65),implies(X64,not(not(X65)))))
| ~ spl0_98
| ~ spl0_233 ),
inference(resolution,[],[f3975,f848]) ).
fof(f9381,plain,
( spl0_326
| ~ spl0_98
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f4005,f3970,f847,f9379]) ).
fof(f9379,plain,
( spl0_326
<=> ! [X66,X65] : theorem(implies(or(X65,X66),or(X65,not(not(X66))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f4005,plain,
( ! [X65,X66] : theorem(implies(or(X65,X66),or(X65,not(not(X66)))))
| ~ spl0_98
| ~ spl0_232 ),
inference(resolution,[],[f3971,f848]) ).
fof(f9377,plain,
( spl0_325
| ~ spl0_50
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f2287,f2046,f363,f9375]) ).
fof(f9375,plain,
( spl0_325
<=> ! [X6,X5] :
( theorem(or(X5,not(or(X5,X6))))
| ~ theorem(not(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f2046,plain,
( spl0_167
<=> ! [X2,X3] :
( theorem(or(X2,not(or(X2,X3))))
| ~ theorem(implies(X3,not(or(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f2287,plain,
( ! [X6,X5] :
( theorem(or(X5,not(or(X5,X6))))
| ~ theorem(not(X6)) )
| ~ spl0_50
| ~ spl0_167 ),
inference(resolution,[],[f2047,f364]) ).
fof(f2047,plain,
( ! [X2,X3] :
( ~ theorem(implies(X3,not(or(X2,X3))))
| theorem(or(X2,not(or(X2,X3)))) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f2046]) ).
fof(f9373,plain,
( spl0_324
| ~ spl0_19
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f2279,f2042,f118,f9371]) ).
fof(f9371,plain,
( spl0_324
<=> ! [X48,X49] :
( ~ theorem(or(or(X48,X49),X48))
| theorem(or(X49,X48)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f2279,plain,
( ! [X48,X49] :
( ~ theorem(or(or(X48,X49),X48))
| theorem(or(X49,X48)) )
| ~ spl0_19
| ~ spl0_166 ),
inference(resolution,[],[f2043,f119]) ).
fof(f9369,plain,
( spl0_323
| ~ spl0_98
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2223,f2030,f847,f9367]) ).
fof(f9367,plain,
( spl0_323
<=> ! [X98,X96,X97] : theorem(or(X96,implies(X97,implies(X98,not(not(X98)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f2223,plain,
( ! [X98,X96,X97] : theorem(or(X96,implies(X97,implies(X98,not(not(X98))))))
| ~ spl0_98
| ~ spl0_163 ),
inference(resolution,[],[f2031,f848]) ).
fof(f9365,plain,
( spl0_322
| ~ spl0_97
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2217,f2030,f843,f9363]) ).
fof(f9363,plain,
( spl0_322
<=> ! [X69,X71,X70,X72] :
( theorem(or(X69,implies(X70,implies(X71,X72))))
| ~ theorem(X72) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f2217,plain,
( ! [X72,X70,X71,X69] :
( theorem(or(X69,implies(X70,implies(X71,X72))))
| ~ theorem(X72) )
| ~ spl0_97
| ~ spl0_163 ),
inference(resolution,[],[f2031,f844]) ).
fof(f9361,plain,
( spl0_321
| ~ spl0_96
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2205,f2030,f839,f9359]) ).
fof(f9359,plain,
( spl0_321
<=> ! [X20,X21,X23,X22] :
( theorem(or(X20,implies(X21,or(X22,X23))))
| ~ theorem(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f2205,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(X20,implies(X21,or(X22,X23))))
| ~ theorem(X23) )
| ~ spl0_96
| ~ spl0_163 ),
inference(resolution,[],[f2031,f840]) ).
fof(f9357,plain,
( spl0_320
| ~ spl0_98
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2156,f2018,f847,f9355]) ).
fof(f9355,plain,
( spl0_320
<=> ! [X93,X92,X91] : theorem(or(X91,or(X92,implies(X93,not(not(X93)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f2156,plain,
( ! [X91,X92,X93] : theorem(or(X91,or(X92,implies(X93,not(not(X93))))))
| ~ spl0_98
| ~ spl0_160 ),
inference(resolution,[],[f2019,f848]) ).
fof(f9346,plain,
( spl0_319
| ~ spl0_97
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2150,f2018,f843,f9344]) ).
fof(f9344,plain,
( spl0_319
<=> ! [X65,X64,X67,X66] :
( theorem(or(X64,or(X65,implies(X66,X67))))
| ~ theorem(X67) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f2150,plain,
( ! [X65,X66,X67,X64] :
( theorem(or(X64,or(X65,implies(X66,X67))))
| ~ theorem(X67) )
| ~ spl0_97
| ~ spl0_160 ),
inference(resolution,[],[f2019,f844]) ).
fof(f9342,plain,
( spl0_318
| ~ spl0_96
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2139,f2018,f839,f9340]) ).
fof(f9340,plain,
( spl0_318
<=> ! [X20,X21,X23,X22] :
( theorem(or(X20,or(X21,or(X22,X23))))
| ~ theorem(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f2139,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(X20,or(X21,or(X22,X23))))
| ~ theorem(X23) )
| ~ spl0_96
| ~ spl0_160 ),
inference(resolution,[],[f2019,f840]) ).
fof(f9338,plain,
( spl0_317
| ~ spl0_24
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1733,f1471,f163,f9336]) ).
fof(f9336,plain,
( spl0_317
<=> ! [X38,X40,X39] : theorem(implies(or(X38,X39),implies(X40,or(X39,X38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f1733,plain,
( ! [X40,X38,X39] : theorem(implies(or(X38,X39),implies(X40,or(X39,X38))))
| ~ spl0_24
| ~ spl0_142 ),
inference(resolution,[],[f1472,f164]) ).
fof(f9334,plain,
( spl0_316
| ~ spl0_11
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1730,f1471,f73,f9332]) ).
fof(f9332,plain,
( spl0_316
<=> ! [X29,X27,X28] : theorem(implies(or(X27,X28),or(X29,or(X28,X27)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f1730,plain,
( ! [X28,X29,X27] : theorem(implies(or(X27,X28),or(X29,or(X28,X27))))
| ~ spl0_11
| ~ spl0_142 ),
inference(resolution,[],[f1472,f74]) ).
fof(f9330,plain,
( spl0_315
| ~ spl0_116
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1584,f1435,f1050,f9328]) ).
fof(f9328,plain,
( spl0_315
<=> ! [X2,X0,X1] : theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f1584,plain,
( ! [X2,X0,X1] : theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))
| ~ spl0_116
| ~ spl0_133 ),
inference(resolution,[],[f1436,f1051]) ).
fof(f9326,plain,
( spl0_314
| ~ spl0_115
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1573,f1426,f1046,f9324]) ).
fof(f9324,plain,
( spl0_314
<=> ! [X2,X0,X1] : theorem(implies(X0,implies(implies(X0,X1),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f1573,plain,
( ! [X2,X0,X1] : theorem(implies(X0,implies(implies(X0,X1),or(X2,X1))))
| ~ spl0_115
| ~ spl0_131 ),
inference(resolution,[],[f1427,f1047]) ).
fof(f9322,plain,
( spl0_313
| ~ spl0_98
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1546,f1414,f847,f9320]) ).
fof(f9320,plain,
( spl0_313
<=> ! [X109,X108,X110] : theorem(or(or(X108,implies(X109,not(not(X109)))),X110)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f1546,plain,
( ! [X108,X109,X110] : theorem(or(or(X108,implies(X109,not(not(X109)))),X110))
| ~ spl0_98
| ~ spl0_128 ),
inference(resolution,[],[f1415,f848]) ).
fof(f9318,plain,
( spl0_312
| ~ spl0_97
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1536,f1414,f843,f9316]) ).
fof(f9316,plain,
( spl0_312
<=> ! [X68,X69,X67,X66] :
( theorem(or(or(X66,implies(X67,X68)),X69))
| ~ theorem(X68) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f1536,plain,
( ! [X68,X69,X66,X67] :
( theorem(or(or(X66,implies(X67,X68)),X69))
| ~ theorem(X68) )
| ~ spl0_97
| ~ spl0_128 ),
inference(resolution,[],[f1415,f844]) ).
fof(f9314,plain,
( spl0_311
| ~ spl0_96
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1524,f1414,f839,f9312]) ).
fof(f9312,plain,
( spl0_311
<=> ! [X20,X21,X23,X22] :
( theorem(or(or(X20,or(X21,X22)),X23))
| ~ theorem(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f1524,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(or(X20,or(X21,X22)),X23))
| ~ theorem(X22) )
| ~ spl0_96
| ~ spl0_128 ),
inference(resolution,[],[f1415,f840]) ).
fof(f9310,plain,
( spl0_310
| ~ spl0_58
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1519,f1414,f418,f9308]) ).
fof(f9308,plain,
( spl0_310
<=> ! [X4,X5,X3] :
( theorem(or(or(X3,X4),X5))
| ~ theorem(or(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f1519,plain,
( ! [X3,X4,X5] :
( theorem(or(or(X3,X4),X5))
| ~ theorem(or(X4,X5)) )
| ~ spl0_58
| ~ spl0_128 ),
inference(resolution,[],[f1415,f419]) ).
fof(f9306,plain,
( spl0_309
| ~ spl0_26
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f8548,f3678,f175,f9304]) ).
fof(f9304,plain,
( spl0_309
<=> ! [X14,X15] : theorem(or(implies(X14,not(X15)),X15)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f3678,plain,
( spl0_224
<=> ! [X13,X12] : theorem(or(X12,implies(X13,not(X12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f8548,plain,
( ! [X14,X15] : theorem(or(implies(X14,not(X15)),X15))
| ~ spl0_26
| ~ spl0_224 ),
inference(resolution,[],[f3679,f176]) ).
fof(f3679,plain,
( ! [X12,X13] : theorem(or(X12,implies(X13,not(X12))))
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f3678]) ).
fof(f9302,plain,
( spl0_308
| ~ spl0_106
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1324,f1074,f1006,f9300]) ).
fof(f9300,plain,
( spl0_308
<=> ! [X25,X24,X26] : theorem(implies(X24,or(X25,implies(or(X25,X26),X26)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f1324,plain,
( ! [X26,X24,X25] : theorem(implies(X24,or(X25,implies(or(X25,X26),X26))))
| ~ spl0_106
| ~ spl0_122 ),
inference(resolution,[],[f1075,f1007]) ).
fof(f9298,plain,
( spl0_307
| ~ spl0_26
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1322,f1074,f175,f9296]) ).
fof(f9296,plain,
( spl0_307
<=> ! [X20,X18,X19] : theorem(or(or(X18,implies(or(X18,X19),X19)),X20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f1322,plain,
( ! [X18,X19,X20] : theorem(or(or(X18,implies(or(X18,X19),X19)),X20))
| ~ spl0_26
| ~ spl0_122 ),
inference(resolution,[],[f1075,f176]) ).
fof(f9294,plain,
( spl0_306
| ~ spl0_31
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1319,f1074,f203,f9292]) ).
fof(f9292,plain,
( spl0_306
<=> ! [X11,X12,X10] : theorem(or(X10,or(X11,implies(or(X10,X12),X12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f1319,plain,
( ! [X10,X11,X12] : theorem(or(X10,or(X11,implies(or(X10,X12),X12))))
| ~ spl0_31
| ~ spl0_122 ),
inference(resolution,[],[f1075,f204]) ).
fof(f9290,plain,
( spl0_305
| ~ spl0_68
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1318,f1074,f499,f9288]) ).
fof(f9288,plain,
( spl0_305
<=> ! [X9,X8,X7] : theorem(or(X7,or(implies(or(X8,X9),X9),X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f1318,plain,
( ! [X8,X9,X7] : theorem(or(X7,or(implies(or(X8,X9),X9),X8)))
| ~ spl0_68
| ~ spl0_122 ),
inference(resolution,[],[f1075,f500]) ).
fof(f9286,plain,
( spl0_304
| ~ spl0_106
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1314,f1070,f1006,f9284]) ).
fof(f9284,plain,
( spl0_304
<=> ! [X22,X21,X23] : theorem(implies(X21,implies(X22,implies(implies(X22,X23),X23)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f1314,plain,
( ! [X21,X22,X23] : theorem(implies(X21,implies(X22,implies(implies(X22,X23),X23))))
| ~ spl0_106
| ~ spl0_121 ),
inference(resolution,[],[f1071,f1007]) ).
fof(f9282,plain,
( spl0_303
| ~ spl0_26
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1312,f1070,f175,f9280]) ).
fof(f9280,plain,
( spl0_303
<=> ! [X16,X17,X15] : theorem(or(implies(X15,implies(implies(X15,X16),X16)),X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f1312,plain,
( ! [X16,X17,X15] : theorem(or(implies(X15,implies(implies(X15,X16),X16)),X17))
| ~ spl0_26
| ~ spl0_121 ),
inference(resolution,[],[f1071,f176]) ).
fof(f9278,plain,
( spl0_302
| ~ spl0_44
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1309,f1070,f300,f9276]) ).
fof(f9276,plain,
( spl0_302
<=> ! [X9,X7,X8] : theorem(implies(X7,or(X8,implies(implies(X7,X9),X9)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f1309,plain,
( ! [X8,X9,X7] : theorem(implies(X7,or(X8,implies(implies(X7,X9),X9))))
| ~ spl0_44
| ~ spl0_121 ),
inference(resolution,[],[f1071,f301]) ).
fof(f9274,plain,
( spl0_301
| ~ spl0_106
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1304,f1062,f1006,f9272]) ).
fof(f9272,plain,
( spl0_301
<=> ! [X29,X28,X30,X31] :
( ~ theorem(X28)
| theorem(implies(X29,implies(X30,or(X28,X31)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f1304,plain,
( ! [X31,X28,X29,X30] :
( ~ theorem(X28)
| theorem(implies(X29,implies(X30,or(X28,X31)))) )
| ~ spl0_106
| ~ spl0_119 ),
inference(resolution,[],[f1063,f1007]) ).
fof(f9270,plain,
( spl0_300
| ~ spl0_26
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1302,f1062,f175,f9268]) ).
fof(f9268,plain,
( spl0_300
<=> ! [X22,X20,X21,X23] :
( ~ theorem(X20)
| theorem(or(implies(X21,or(X20,X22)),X23)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f1302,plain,
( ! [X21,X22,X23,X20] :
( ~ theorem(X20)
| theorem(or(implies(X21,or(X20,X22)),X23)) )
| ~ spl0_26
| ~ spl0_119 ),
inference(resolution,[],[f1063,f176]) ).
fof(f9266,plain,
( spl0_299
| ~ spl0_106
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1293,f1058,f1006,f9264]) ).
fof(f9264,plain,
( spl0_299
<=> ! [X38,X36,X37,X35] :
( ~ theorem(X35)
| theorem(implies(X36,or(X37,or(X35,X38)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f1293,plain,
( ! [X38,X36,X37,X35] :
( ~ theorem(X35)
| theorem(implies(X36,or(X37,or(X35,X38)))) )
| ~ spl0_106
| ~ spl0_118 ),
inference(resolution,[],[f1059,f1007]) ).
fof(f9262,plain,
( spl0_298
| ~ spl0_168
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f3008,f2857,f2050,f9260]) ).
fof(f2857,plain,
( spl0_212
<=> ! [X18,X17] : theorem(or(implies(X17,X18),X17)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f3008,plain,
( ! [X2,X1] : theorem(or(or(X1,X2),not(X2)))
| ~ spl0_168
| ~ spl0_212 ),
inference(resolution,[],[f2858,f2051]) ).
fof(f2858,plain,
( ! [X18,X17] : theorem(or(implies(X17,X18),X17))
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f2857]) ).
fof(f9258,plain,
( spl0_297
| ~ spl0_26
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1291,f1058,f175,f9256]) ).
fof(f9256,plain,
( spl0_297
<=> ! [X29,X27,X28,X30] :
( ~ theorem(X27)
| theorem(or(or(X28,or(X27,X29)),X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f1291,plain,
( ! [X28,X29,X27,X30] :
( ~ theorem(X27)
| theorem(or(or(X28,or(X27,X29)),X30)) )
| ~ spl0_26
| ~ spl0_118 ),
inference(resolution,[],[f1059,f176]) ).
fof(f9254,plain,
( spl0_296
| ~ spl0_25
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1281,f1054,f171,f9252]) ).
fof(f9252,plain,
( spl0_296
<=> ! [X86,X85] :
( theorem(implies(X85,not(X86)))
| ~ theorem(implies(X86,not(X86))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f1281,plain,
( ! [X86,X85] :
( theorem(implies(X85,not(X86)))
| ~ theorem(implies(X86,not(X86))) )
| ~ spl0_25
| ~ spl0_117 ),
inference(resolution,[],[f1055,f172]) ).
fof(f9250,plain,
( spl0_295
| ~ spl0_94
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1274,f1054,f831,f9248]) ).
fof(f9248,plain,
( spl0_295
<=> ! [X62,X63] :
( theorem(implies(X62,not(implies(X63,not(X63)))))
| ~ theorem(X63) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f1274,plain,
( ! [X62,X63] :
( theorem(implies(X62,not(implies(X63,not(X63)))))
| ~ theorem(X63) )
| ~ spl0_94
| ~ spl0_117 ),
inference(resolution,[],[f1055,f832]) ).
fof(f9246,plain,
( spl0_294
| ~ spl0_33
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1240,f1050,f211,f9244]) ).
fof(f9244,plain,
( spl0_294
<=> ! [X18,X17,X19] : theorem(implies(or(X17,X18),or(X17,implies(X19,X18)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f1240,plain,
( ! [X18,X19,X17] : theorem(implies(or(X17,X18),or(X17,implies(X19,X18))))
| ~ spl0_33
| ~ spl0_116 ),
inference(resolution,[],[f1051,f212]) ).
fof(f9242,plain,
( spl0_293
| ~ spl0_46
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1237,f1050,f308,f9240]) ).
fof(f9240,plain,
( spl0_293
<=> ! [X13,X12,X11] : theorem(implies(implies(X11,X12),implies(X11,implies(X13,X12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f1237,plain,
( ! [X11,X12,X13] : theorem(implies(implies(X11,X12),implies(X11,implies(X13,X12))))
| ~ spl0_46
| ~ spl0_116 ),
inference(resolution,[],[f1051,f309]) ).
fof(f9238,plain,
( spl0_292
| ~ spl0_32
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1217,f1046,f207,f9236]) ).
fof(f9236,plain,
( spl0_292
<=> ! [X13,X14,X15] : theorem(implies(implies(X13,X14),implies(X13,or(X15,X14)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f1217,plain,
( ! [X14,X15,X13] : theorem(implies(implies(X13,X14),implies(X13,or(X15,X14))))
| ~ spl0_32
| ~ spl0_115 ),
inference(resolution,[],[f1047,f208]) ).
fof(f9234,plain,
( spl0_291
| ~ spl0_17
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1214,f1046,f110,f9232]) ).
fof(f9232,plain,
( spl0_291
<=> ! [X6,X5,X7] : theorem(implies(or(X5,X6),or(X5,or(X7,X6)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f1214,plain,
( ! [X6,X7,X5] : theorem(implies(or(X5,X6),or(X5,or(X7,X6))))
| ~ spl0_17
| ~ spl0_115 ),
inference(resolution,[],[f1047,f111]) ).
fof(f9230,plain,
( spl0_290
| ~ spl0_7
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1203,f1042,f38,f9228]) ).
fof(f1203,plain,
( ! [X10,X9] :
( ~ theorem(implies(X9,X10))
| theorem(X10)
| ~ theorem(or(X9,X9)) )
| ~ spl0_7
| ~ spl0_114 ),
inference(resolution,[],[f1043,f39]) ).
fof(f9226,plain,
( spl0_289
| ~ spl0_106
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1189,f1034,f1006,f9224]) ).
fof(f1189,plain,
( ! [X36,X34,X35] :
( ~ theorem(or(X34,X35))
| theorem(implies(X36,or(X35,X34))) )
| ~ spl0_106
| ~ spl0_112 ),
inference(resolution,[],[f1035,f1007]) ).
fof(f9222,plain,
( spl0_288
| ~ spl0_26
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1187,f1034,f175,f9220]) ).
fof(f9220,plain,
( spl0_288
<=> ! [X29,X28,X30] :
( ~ theorem(or(X28,X29))
| theorem(or(or(X29,X28),X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f1187,plain,
( ! [X28,X29,X30] :
( ~ theorem(or(X28,X29))
| theorem(or(or(X29,X28),X30)) )
| ~ spl0_26
| ~ spl0_112 ),
inference(resolution,[],[f1035,f176]) ).
fof(f9198,plain,
( spl0_287
| ~ spl0_31
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f1181,f1034,f203,f9196]) ).
fof(f9196,plain,
( spl0_287
<=> ! [X9,X11,X10] :
( ~ theorem(or(X9,X10))
| theorem(or(X10,or(X11,X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f1181,plain,
( ! [X10,X11,X9] :
( ~ theorem(or(X9,X10))
| theorem(or(X10,or(X11,X9))) )
| ~ spl0_31
| ~ spl0_112 ),
inference(resolution,[],[f1035,f204]) ).
fof(f9194,plain,
( spl0_286
| ~ spl0_6
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1177,f1030,f34,f9192]) ).
fof(f1177,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(implies(X0,or(X1,X2))) )
| ~ spl0_6
| ~ spl0_111 ),
inference(forward_demodulation,[],[f1176,f35]) ).
fof(f1176,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_6
| ~ spl0_111 ),
inference(superposition,[],[f1031,f35]) ).
fof(f9190,plain,
( spl0_285
| ~ spl0_26
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1172,f1030,f175,f9188]) ).
fof(f1172,plain,
( ! [X28,X29,X30] :
( ~ theorem(or(X28,X29))
| theorem(or(or(X29,X30),X28)) )
| ~ spl0_26
| ~ spl0_111 ),
inference(resolution,[],[f1031,f176]) ).
fof(f9186,plain,
( spl0_284
| ~ spl0_19
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1171,f1030,f118,f9184]) ).
fof(f1171,plain,
( ! [X26,X27] :
( ~ theorem(or(or(X26,X27),X26))
| theorem(or(X26,X27)) )
| ~ spl0_19
| ~ spl0_111 ),
inference(resolution,[],[f1031,f119]) ).
fof(f9182,plain,
( spl0_283
| ~ spl0_31
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1166,f1030,f203,f9180]) ).
fof(f9180,plain,
( spl0_283
<=> ! [X9,X11,X10] :
( ~ theorem(or(X9,X10))
| theorem(or(X10,or(X9,X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1166,plain,
( ! [X10,X11,X9] :
( ~ theorem(or(X9,X10))
| theorem(or(X10,or(X9,X11))) )
| ~ spl0_31
| ~ spl0_111 ),
inference(resolution,[],[f1031,f204]) ).
fof(f9178,plain,
( spl0_282
| ~ spl0_8
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1153,f1026,f43,f9176]) ).
fof(f9176,plain,
( spl0_282
<=> ! [X5] : theorem(implies(or(or(X5,X5),or(X5,X5)),X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f1153,plain,
( ! [X5] : theorem(implies(or(or(X5,X5),or(X5,X5)),X5))
| ~ spl0_8
| ~ spl0_110 ),
inference(resolution,[],[f1027,f44]) ).
fof(f9174,plain,
( spl0_281
| ~ spl0_35
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1152,f1026,f219,f9172]) ).
fof(f9172,plain,
( spl0_281
<=> ! [X4,X3] :
( theorem(implies(or(X3,X4),X3))
| ~ theorem(implies(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1152,plain,
( ! [X3,X4] :
( theorem(implies(or(X3,X4),X3))
| ~ theorem(implies(X4,X3)) )
| ~ spl0_35
| ~ spl0_110 ),
inference(resolution,[],[f1027,f220]) ).
fof(f8854,plain,
( spl0_280
| ~ spl0_26
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f4653,f4204,f175,f8852]) ).
fof(f8852,plain,
( spl0_280
<=> ! [X13,X14] : theorem(or(or(X13,not(X14)),X14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f4204,plain,
( spl0_241
<=> ! [X7,X8] : theorem(or(X7,or(X8,not(X7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f4653,plain,
( ! [X14,X13] : theorem(or(or(X13,not(X14)),X14))
| ~ spl0_26
| ~ spl0_241 ),
inference(resolution,[],[f4205,f176]) ).
fof(f4205,plain,
( ! [X8,X7] : theorem(or(X7,or(X8,not(X7))))
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f4204]) ).
fof(f8257,plain,
( spl0_279
| ~ spl0_6
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f2815,f2762,f34,f8255]) ).
fof(f8255,plain,
( spl0_279
<=> ! [X0,X1] : theorem(implies(X0,implies(not(X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f2762,plain,
( spl0_191
<=> ! [X2,X3] : theorem(or(X2,implies(X2,X3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f2815,plain,
( ! [X0,X1] : theorem(implies(X0,implies(not(X0),X1)))
| ~ spl0_6
| ~ spl0_191 ),
inference(superposition,[],[f2763,f35]) ).
fof(f2763,plain,
( ! [X2,X3] : theorem(or(X2,implies(X2,X3)))
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f2762]) ).
fof(f7458,plain,
( spl0_278
| ~ spl0_115
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f4950,f4865,f1046,f7456]) ).
fof(f7456,plain,
( spl0_278
<=> ! [X18,X17] :
( ~ theorem(X17)
| theorem(implies(not(X17),X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f4865,plain,
( spl0_262
<=> ! [X9,X8] :
( theorem(implies(or(X8,not(X9)),X8))
| ~ theorem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f4950,plain,
( ! [X18,X17] :
( ~ theorem(X17)
| theorem(implies(not(X17),X18)) )
| ~ spl0_115
| ~ spl0_262 ),
inference(resolution,[],[f4866,f1047]) ).
fof(f4866,plain,
( ! [X8,X9] :
( theorem(implies(or(X8,not(X9)),X8))
| ~ theorem(X9) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f4865]) ).
fof(f5130,plain,
( spl0_41
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f5103]) ).
fof(f5103,plain,
( $false
| spl0_41
| ~ spl0_89 ),
inference(resolution,[],[f812,f274]) ).
fof(f812,plain,
( ! [X4] : theorem(X4)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f811,plain,
( spl0_89
<=> ! [X4] : theorem(X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f5129,plain,
( spl0_71
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f5104]) ).
fof(f5104,plain,
( $false
| spl0_71
| ~ spl0_89 ),
inference(resolution,[],[f812,f534]) ).
fof(f5128,plain,
( ~ spl0_89
| spl0_132 ),
inference(avatar_contradiction_clause,[],[f5105]) ).
fof(f5105,plain,
( $false
| ~ spl0_89
| spl0_132 ),
inference(resolution,[],[f812,f1432]) ).
fof(f5127,plain,
( ~ spl0_89
| spl0_143 ),
inference(avatar_contradiction_clause,[],[f5106]) ).
fof(f5106,plain,
( $false
| ~ spl0_89
| spl0_143 ),
inference(resolution,[],[f812,f1477]) ).
fof(f5126,plain,
( spl0_1
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f5107]) ).
fof(f5107,plain,
( $false
| spl0_1
| ~ spl0_89 ),
inference(resolution,[],[f812,f13]) ).
fof(f5125,plain,
( spl0_85
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f5108]) ).
fof(f5108,plain,
( $false
| spl0_85
| ~ spl0_89 ),
inference(resolution,[],[f812,f768]) ).
fof(f5124,plain,
( ~ spl0_89
| spl0_123 ),
inference(avatar_contradiction_clause,[],[f5109]) ).
fof(f5109,plain,
( $false
| ~ spl0_89
| spl0_123 ),
inference(resolution,[],[f812,f1196]) ).
fof(f5123,plain,
( spl0_62
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f5110]) ).
fof(f5110,plain,
( $false
| spl0_62
| ~ spl0_89 ),
inference(resolution,[],[f812,f476]) ).
fof(f476,plain,
( ~ theorem(implies(q,r))
| spl0_62 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl0_62
<=> theorem(implies(q,r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f5122,plain,
( ~ spl0_89
| spl0_152 ),
inference(avatar_contradiction_clause,[],[f5111]) ).
fof(f5111,plain,
( $false
| ~ spl0_89
| spl0_152 ),
inference(resolution,[],[f812,f1690]) ).
fof(f1690,plain,
( ~ theorem(implies(q,p))
| spl0_152 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f1688,plain,
( spl0_152
<=> theorem(implies(q,p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f5121,plain,
( spl0_84
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f5112]) ).
fof(f5112,plain,
( $false
| spl0_84
| ~ spl0_89 ),
inference(resolution,[],[f812,f763]) ).
fof(f763,plain,
( ~ theorem(not(implies(or(p,q),or(p,r))))
| spl0_84 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl0_84
<=> theorem(not(implies(or(p,q),or(p,r)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f5120,plain,
( ~ spl0_89
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f5113]) ).
fof(f5113,plain,
( $false
| ~ spl0_89
| ~ spl0_267 ),
inference(resolution,[],[f812,f4910]) ).
fof(f4910,plain,
( ! [X41] : ~ theorem(not(implies(X41,X41)))
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f4909]) ).
fof(f4909,plain,
( spl0_267
<=> ! [X41] : ~ theorem(not(implies(X41,X41))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f5119,plain,
( ~ spl0_89
| spl0_91 ),
inference(avatar_contradiction_clause,[],[f5114]) ).
fof(f5114,plain,
( $false
| ~ spl0_89
| spl0_91 ),
inference(resolution,[],[f812,f820]) ).
fof(f820,plain,
( ~ theorem(not(q))
| spl0_91 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl0_91
<=> theorem(not(q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f5118,plain,
( spl0_51
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f5115]) ).
fof(f5115,plain,
( $false
| spl0_51
| ~ spl0_89 ),
inference(resolution,[],[f812,f374]) ).
fof(f374,plain,
( ~ theorem(p)
| spl0_51 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl0_51
<=> theorem(p) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f5117,plain,
( spl0_83
| ~ spl0_89 ),
inference(avatar_contradiction_clause,[],[f5116]) ).
fof(f5116,plain,
( $false
| spl0_83
| ~ spl0_89 ),
inference(resolution,[],[f812,f669]) ).
fof(f669,plain,
( ~ theorem(r)
| spl0_83 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl0_83
<=> theorem(r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f5102,plain,
( spl0_277
| ~ spl0_90
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f4386,f4212,f814,f5100]) ).
fof(f5100,plain,
( spl0_277
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f4212,plain,
( spl0_243
<=> ! [X5] :
( theorem(not(implies(X5,not(X5))))
| ~ theorem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f4386,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,not(X0))) )
| ~ spl0_90
| ~ spl0_243 ),
inference(resolution,[],[f4213,f815]) ).
fof(f4213,plain,
( ! [X5] :
( theorem(not(implies(X5,not(X5))))
| ~ theorem(X5) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f4212]) ).
fof(f5098,plain,
( spl0_276
| ~ spl0_94
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1140,f1018,f831,f5096]) ).
fof(f5096,plain,
( spl0_276
<=> ! [X60,X59] :
( theorem(or(X59,not(implies(X60,not(X60)))))
| ~ theorem(X60) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1140,plain,
( ! [X59,X60] :
( theorem(or(X59,not(implies(X60,not(X60)))))
| ~ theorem(X60) )
| ~ spl0_94
| ~ spl0_109 ),
inference(resolution,[],[f1019,f832]) ).
fof(f5094,plain,
( spl0_275
| ~ spl0_7
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1080,f1002,f38,f5092]) ).
fof(f5092,plain,
( spl0_275
<=> ! [X9,X8] :
( theorem(implies(implies(X8,not(X9)),not(X8)))
| ~ theorem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1080,plain,
( ! [X8,X9] :
( theorem(implies(implies(X8,not(X9)),not(X8)))
| ~ theorem(X9) )
| ~ spl0_7
| ~ spl0_105 ),
inference(resolution,[],[f1003,f39]) ).
fof(f5090,plain,
( spl0_274
| ~ spl0_6
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1000,f952,f34,f5088]) ).
fof(f5088,plain,
( spl0_274
<=> ! [X0,X1] : theorem(implies(X0,implies(X1,not(implies(X1,not(X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1000,plain,
( ! [X0,X1] : theorem(implies(X0,implies(X1,not(implies(X1,not(X0))))))
| ~ spl0_6
| ~ spl0_103 ),
inference(superposition,[],[f953,f35]) ).
fof(f5086,plain,
( spl0_273
| ~ spl0_61
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f869,f827,f430,f5084]) ).
fof(f869,plain,
( ! [X2,X3] : theorem(or(implies(or(X2,or(X3,X3)),X2),X3))
| ~ spl0_61
| ~ spl0_93 ),
inference(resolution,[],[f828,f431]) ).
fof(f5082,plain,
( spl0_272
| ~ spl0_44
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f861,f823,f300,f5080]) ).
fof(f5080,plain,
( spl0_272
<=> ! [X45,X44,X43,X42] :
( ~ theorem(X42)
| theorem(implies(X43,or(or(X42,X44),X45))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f823,plain,
( spl0_92
<=> ! [X6,X5,X7] :
( ~ theorem(X5)
| theorem(or(or(X5,X6),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f861,plain,
( ! [X44,X45,X42,X43] :
( ~ theorem(X42)
| theorem(implies(X43,or(or(X42,X44),X45))) )
| ~ spl0_44
| ~ spl0_92 ),
inference(resolution,[],[f824,f301]) ).
fof(f824,plain,
( ! [X6,X7,X5] :
( theorem(or(or(X5,X6),X7))
| ~ theorem(X5) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f5078,plain,
( spl0_271
| ~ spl0_31
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f856,f823,f203,f5076]) ).
fof(f5076,plain,
( spl0_271
<=> ! [X22,X20,X21,X19] :
( ~ theorem(X19)
| theorem(or(X20,or(or(X19,X21),X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f856,plain,
( ! [X21,X19,X22,X20] :
( ~ theorem(X19)
| theorem(or(X20,or(or(X19,X21),X22))) )
| ~ spl0_31
| ~ spl0_92 ),
inference(resolution,[],[f824,f204]) ).
fof(f5074,plain,
( spl0_270
| ~ spl0_70
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f807,f787,f507,f5072]) ).
fof(f787,plain,
( spl0_88
<=> ! [X0,X1] : theorem(implies(X0,implies(X1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f807,plain,
( ! [X2,X3,X4] :
( theorem(implies(X2,X3))
| ~ theorem(implies(implies(X4,X4),X3)) )
| ~ spl0_70
| ~ spl0_88 ),
inference(resolution,[],[f788,f508]) ).
fof(f788,plain,
( ! [X0,X1] : theorem(implies(X0,implies(X1,X1)))
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f4918,plain,
( spl0_269
| ~ spl0_121
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f2405,f2062,f1070,f4916]) ).
fof(f4916,plain,
( spl0_269
<=> ! [X27,X26] : theorem(or(implies(implies(X26,X27),X27),not(X26))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f2405,plain,
( ! [X26,X27] : theorem(or(implies(implies(X26,X27),X27),not(X26)))
| ~ spl0_121
| ~ spl0_171 ),
inference(resolution,[],[f2063,f1071]) ).
fof(f4914,plain,
( spl0_267
| spl0_268
| ~ spl0_49
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1354,f1331,f355,f4912,f4909]) ).
fof(f1354,plain,
( ! [X40,X41,X39] :
( theorem(or(X39,X40))
| ~ theorem(not(implies(X41,X41))) )
| ~ spl0_49
| ~ spl0_124 ),
inference(resolution,[],[f1332,f356]) ).
fof(f4907,plain,
( spl0_266
| ~ spl0_50
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1242,f1050,f363,f4905]) ).
fof(f4905,plain,
( spl0_266
<=> ! [X22,X24,X23] :
( theorem(implies(X22,X23))
| ~ theorem(not(implies(X24,X22))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1242,plain,
( ! [X24,X22,X23] :
( theorem(implies(X22,X23))
| ~ theorem(not(implies(X24,X22))) )
| ~ spl0_50
| ~ spl0_116 ),
inference(resolution,[],[f1051,f364]) ).
fof(f4903,plain,
( spl0_265
| ~ spl0_50
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1219,f1046,f363,f4901]) ).
fof(f4901,plain,
( spl0_265
<=> ! [X20,X18,X19] :
( theorem(implies(X18,X19))
| ~ theorem(not(or(X20,X18))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1219,plain,
( ! [X18,X19,X20] :
( theorem(implies(X18,X19))
| ~ theorem(not(or(X20,X18))) )
| ~ spl0_50
| ~ spl0_115 ),
inference(resolution,[],[f1047,f364]) ).
fof(f4899,plain,
( spl0_264
| ~ spl0_26
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f999,f952,f175,f4897]) ).
fof(f4897,plain,
( spl0_264
<=> ! [X8,X7] : theorem(or(implies(X7,not(implies(X7,X8))),X8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f999,plain,
( ! [X8,X7] : theorem(or(implies(X7,not(implies(X7,X8))),X8))
| ~ spl0_26
| ~ spl0_103 ),
inference(resolution,[],[f953,f176]) ).
fof(f4871,plain,
( spl0_263
| ~ spl0_44
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f998,f952,f300,f4869]) ).
fof(f4869,plain,
( spl0_263
<=> ! [X6,X5] : theorem(implies(X5,or(X6,not(implies(X5,X6))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f998,plain,
( ! [X6,X5] : theorem(implies(X5,or(X6,not(implies(X5,X6)))))
| ~ spl0_44
| ~ spl0_103 ),
inference(resolution,[],[f953,f301]) ).
fof(f4867,plain,
( spl0_262
| ~ spl0_7
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f979,f944,f38,f4865]) ).
fof(f979,plain,
( ! [X8,X9] :
( theorem(implies(or(X8,not(X9)),X8))
| ~ theorem(X9) )
| ~ spl0_7
| ~ spl0_101 ),
inference(resolution,[],[f945,f39]) ).
fof(f4863,plain,
( spl0_261
| ~ spl0_6
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f867,f823,f34,f4861]) ).
fof(f4861,plain,
( spl0_261
<=> ! [X2,X0,X1] :
( theorem(or(implies(X0,X1),X2))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f867,plain,
( ! [X2,X0,X1] :
( theorem(or(implies(X0,X1),X2))
| ~ theorem(not(X0)) )
| ~ spl0_6
| ~ spl0_92 ),
inference(superposition,[],[f824,f35]) ).
fof(f4350,plain,
( spl0_260
| ~ spl0_106
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f4027,f3835,f1006,f4348]) ).
fof(f4348,plain,
( spl0_260
<=> ! [X34,X33] : theorem(implies(X33,or(X34,not(X34)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f4027,plain,
( ! [X34,X33] : theorem(implies(X33,or(X34,not(X34))))
| ~ spl0_106
| ~ spl0_231 ),
inference(resolution,[],[f3836,f1007]) ).
fof(f4278,plain,
( spl0_259
| ~ spl0_49
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2213,f2030,f355,f4276]) ).
fof(f4276,plain,
( spl0_259
<=> ! [X54,X55,X56] : theorem(or(X54,implies(X55,implies(X56,X56)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f2213,plain,
( ! [X56,X54,X55] : theorem(or(X54,implies(X55,implies(X56,X56))))
| ~ spl0_49
| ~ spl0_163 ),
inference(resolution,[],[f2031,f356]) ).
fof(f4274,plain,
( spl0_258
| ~ spl0_49
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f2146,f2018,f355,f4272]) ).
fof(f4272,plain,
( spl0_258
<=> ! [X50,X51,X49] : theorem(or(X49,or(X50,implies(X51,X51)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f2146,plain,
( ! [X50,X51,X49] : theorem(or(X49,or(X50,implies(X51,X51))))
| ~ spl0_49
| ~ spl0_160 ),
inference(resolution,[],[f2019,f356]) ).
fof(f4270,plain,
( spl0_257
| ~ spl0_49
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1530,f1414,f355,f4268]) ).
fof(f1530,plain,
( ! [X46,X47,X45] : theorem(or(or(X45,implies(X46,X46)),X47))
| ~ spl0_49
| ~ spl0_128 ),
inference(resolution,[],[f1415,f356]) ).
fof(f4266,plain,
( spl0_256
| ~ spl0_24
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1247,f1050,f163,f4264]) ).
fof(f1247,plain,
( ! [X38,X39,X37] : theorem(implies(X37,implies(X38,implies(X39,X37))))
| ~ spl0_24
| ~ spl0_116 ),
inference(resolution,[],[f1051,f164]) ).
fof(f4262,plain,
( spl0_255
| ~ spl0_11
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1244,f1050,f73,f4260]) ).
fof(f1244,plain,
( ! [X28,X29,X27] : theorem(implies(X27,or(X28,implies(X29,X27))))
| ~ spl0_11
| ~ spl0_116 ),
inference(resolution,[],[f1051,f74]) ).
fof(f4258,plain,
( spl0_254
| ~ spl0_24
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1224,f1046,f163,f4256]) ).
fof(f1224,plain,
( ! [X34,X35,X33] : theorem(implies(X33,implies(X34,or(X35,X33))))
| ~ spl0_24
| ~ spl0_115 ),
inference(resolution,[],[f1047,f164]) ).
fof(f4254,plain,
( spl0_253
| ~ spl0_11
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1221,f1046,f73,f4252]) ).
fof(f1221,plain,
( ! [X24,X25,X23] : theorem(implies(X23,or(X24,or(X25,X23))))
| ~ spl0_11
| ~ spl0_115 ),
inference(resolution,[],[f1047,f74]) ).
fof(f4250,plain,
( spl0_252
| ~ spl0_26
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f4021,f3835,f175,f4248]) ).
fof(f4248,plain,
( spl0_252
<=> ! [X16,X15] : theorem(or(or(X15,not(X15)),X16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f4021,plain,
( ! [X16,X15] : theorem(or(or(X15,not(X15)),X16))
| ~ spl0_26
| ~ spl0_231 ),
inference(resolution,[],[f3836,f176]) ).
fof(f4246,plain,
( spl0_251
| ~ spl0_106
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1098,f1010,f1006,f4244]) ).
fof(f4244,plain,
( spl0_251
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(implies(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f1098,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(implies(X1,X0)) )
| ~ spl0_106
| ~ spl0_107 ),
inference(resolution,[],[f1011,f1007]) ).
fof(f4242,plain,
( spl0_250
| ~ spl0_6
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f934,f847,f34,f4240]) ).
fof(f4240,plain,
( spl0_250
<=> ! [X0,X1] : theorem(implies(X0,implies(X1,not(not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f934,plain,
( ! [X0,X1] : theorem(implies(X0,implies(X1,not(not(X1)))))
| ~ spl0_6
| ~ spl0_98 ),
inference(superposition,[],[f848,f35]) ).
fof(f4238,plain,
( spl0_249
| ~ spl0_26
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f932,f847,f175,f4236]) ).
fof(f4236,plain,
( spl0_249
<=> ! [X11,X10] : theorem(or(implies(X10,not(not(X10))),X11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f932,plain,
( ! [X10,X11] : theorem(or(implies(X10,not(not(X10))),X11))
| ~ spl0_26
| ~ spl0_98 ),
inference(resolution,[],[f848,f176]) ).
fof(f4234,plain,
( spl0_248
| ~ spl0_44
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f929,f847,f300,f4232]) ).
fof(f929,plain,
( ! [X6,X5] : theorem(implies(X5,or(X6,not(not(X5)))))
| ~ spl0_44
| ~ spl0_98 ),
inference(resolution,[],[f848,f301]) ).
fof(f4230,plain,
( spl0_247
| ~ spl0_6
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f926,f843,f34,f4228]) ).
fof(f4228,plain,
( spl0_247
<=> ! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f926,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_6
| ~ spl0_97 ),
inference(superposition,[],[f844,f35]) ).
fof(f4226,plain,
( spl0_246
| ~ spl0_26
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f923,f843,f175,f4224]) ).
fof(f4224,plain,
( spl0_246
<=> ! [X25,X27,X26] :
( ~ theorem(X25)
| theorem(or(implies(X26,X25),X27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f923,plain,
( ! [X26,X27,X25] :
( ~ theorem(X25)
| theorem(or(implies(X26,X25),X27)) )
| ~ spl0_26
| ~ spl0_97 ),
inference(resolution,[],[f844,f176]) ).
fof(f4222,plain,
( spl0_245
| ~ spl0_6
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f914,f839,f34,f4220]) ).
fof(f4220,plain,
( spl0_245
<=> ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_6
| ~ spl0_96 ),
inference(superposition,[],[f840,f35]) ).
fof(f4218,plain,
( spl0_244
| ~ spl0_26
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f911,f839,f175,f4216]) ).
fof(f4216,plain,
( spl0_244
<=> ! [X29,X28,X30] :
( ~ theorem(X28)
| theorem(or(or(X29,X28),X30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f911,plain,
( ! [X28,X29,X30] :
( ~ theorem(X28)
| theorem(or(or(X29,X28),X30)) )
| ~ spl0_26
| ~ spl0_96 ),
inference(resolution,[],[f840,f176]) ).
fof(f4214,plain,
( spl0_243
| ~ spl0_7
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f887,f831,f38,f4212]) ).
fof(f887,plain,
( ! [X5] :
( theorem(not(implies(X5,not(X5))))
| ~ theorem(X5) )
| ~ spl0_7
| ~ spl0_94 ),
inference(resolution,[],[f832,f39]) ).
fof(f4210,plain,
( spl0_242
| ~ spl0_44
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f800,f783,f300,f4208]) ).
fof(f783,plain,
( spl0_87
<=> ! [X4,X3] : theorem(or(implies(X3,X3),X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f800,plain,
( ! [X31,X32,X30] : theorem(implies(X30,or(implies(X31,X31),X32)))
| ~ spl0_44
| ~ spl0_87 ),
inference(resolution,[],[f784,f301]) ).
fof(f784,plain,
( ! [X3,X4] : theorem(or(implies(X3,X3),X4))
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f4206,plain,
( spl0_241
| ~ spl0_31
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f4017,f3835,f203,f4204]) ).
fof(f4017,plain,
( ! [X8,X7] : theorem(or(X7,or(X8,not(X7))))
| ~ spl0_31
| ~ spl0_231 ),
inference(resolution,[],[f3836,f204]) ).
fof(f4202,plain,
( spl0_240
| ~ spl0_31
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f795,f783,f203,f4200]) ).
fof(f795,plain,
( ! [X14,X12,X13] : theorem(or(X12,or(implies(X13,X13),X14)))
| ~ spl0_31
| ~ spl0_87 ),
inference(resolution,[],[f784,f204]) ).
fof(f4198,plain,
( spl0_239
| ~ spl0_63
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f780,f773,f479,f4196]) ).
fof(f773,plain,
( spl0_86
<=> ! [X2] : theorem(implies(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f780,plain,
( ! [X8,X7] : theorem(implies(X7,implies(implies(X7,X8),X8)))
| ~ spl0_63
| ~ spl0_86 ),
inference(resolution,[],[f774,f480]) ).
fof(f774,plain,
( ! [X2] : theorem(implies(X2,X2))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f4194,plain,
( spl0_238
| ~ spl0_45
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f779,f773,f304,f4192]) ).
fof(f779,plain,
( ! [X6,X5] : theorem(or(X5,implies(or(X5,X6),X6)))
| ~ spl0_45
| ~ spl0_86 ),
inference(resolution,[],[f774,f305]) ).
fof(f4132,plain,
( spl0_237
| ~ spl0_57
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f714,f651,f414,f4130]) ).
fof(f651,plain,
( spl0_79
<=> ! [X35,X33,X34,X36] :
( theorem(or(X33,implies(implies(X34,X35),implies(X34,X36))))
| ~ theorem(or(X33,implies(X35,X36))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f714,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(or(or(X11,implies(implies(X12,X13),implies(X12,X14))),implies(X13,X14)))
| theorem(or(X11,implies(implies(X12,X13),implies(X12,X14)))) )
| ~ spl0_57
| ~ spl0_79 ),
inference(resolution,[],[f652,f415]) ).
fof(f652,plain,
( ! [X36,X34,X35,X33] :
( theorem(or(X33,implies(implies(X34,X35),implies(X34,X36))))
| ~ theorem(or(X33,implies(X35,X36))) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f4128,plain,
( spl0_236
| ~ spl0_57
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f704,f647,f414,f4126]) ).
fof(f647,plain,
( spl0_78
<=> ! [X31,X29,X32,X30] :
( theorem(or(X29,implies(or(X30,X31),or(X30,X32))))
| ~ theorem(or(X29,implies(X31,X32))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f704,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(or(or(X11,implies(or(X12,X13),or(X12,X14))),implies(X13,X14)))
| theorem(or(X11,implies(or(X12,X13),or(X12,X14)))) )
| ~ spl0_57
| ~ spl0_78 ),
inference(resolution,[],[f648,f415]) ).
fof(f648,plain,
( ! [X31,X29,X32,X30] :
( theorem(or(X29,implies(or(X30,X31),or(X30,X32))))
| ~ theorem(or(X29,implies(X31,X32))) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f3984,plain,
( spl0_235
| ~ spl0_79
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f751,f663,f651,f3982]) ).
fof(f751,plain,
( ! [X31,X34,X32,X30,X33] :
( theorem(or(X30,implies(implies(X31,X32),X33)))
| ~ theorem(implies(implies(X31,X34),X33))
| ~ theorem(or(X30,implies(X32,X34))) )
| ~ spl0_79
| ~ spl0_82 ),
inference(resolution,[],[f664,f652]) ).
fof(f3980,plain,
( spl0_234
| ~ spl0_78
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f749,f663,f647,f3978]) ).
fof(f749,plain,
( ! [X21,X24,X22,X25,X23] :
( theorem(or(X21,implies(or(X22,X23),X24)))
| ~ theorem(implies(or(X22,X25),X24))
| ~ theorem(or(X21,implies(X23,X25))) )
| ~ spl0_78
| ~ spl0_82 ),
inference(resolution,[],[f664,f648]) ).
fof(f3976,plain,
( spl0_233
| ~ spl0_19
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f712,f651,f118,f3974]) ).
fof(f712,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(implies(implies(X4,X5),implies(X4,X6)),implies(X5,X6)))
| theorem(implies(implies(X4,X5),implies(X4,X6))) )
| ~ spl0_19
| ~ spl0_79 ),
inference(resolution,[],[f652,f119]) ).
fof(f3972,plain,
( spl0_232
| ~ spl0_19
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f702,f647,f118,f3970]) ).
fof(f702,plain,
( ! [X6,X4,X5] :
( ~ theorem(or(implies(or(X4,X5),or(X4,X6)),implies(X5,X6)))
| theorem(implies(or(X4,X5),or(X4,X6))) )
| ~ spl0_19
| ~ spl0_78 ),
inference(resolution,[],[f648,f119]) ).
fof(f3837,plain,
( spl0_231
| ~ spl0_49
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f3709,f3666,f355,f3835]) ).
fof(f3709,plain,
( ! [X12,X13] : theorem(or(X12,or(X13,not(X13))))
| ~ spl0_49
| ~ spl0_221 ),
inference(resolution,[],[f3667,f356]) ).
fof(f3704,plain,
( spl0_230
| ~ spl0_58
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f755,f663,f418,f3702]) ).
fof(f755,plain,
( ! [X50,X48,X46,X49,X47] :
( theorem(or(or(X46,X47),implies(X48,X49)))
| ~ theorem(implies(X50,X49))
| ~ theorem(or(implies(X48,X50),X47)) )
| ~ spl0_58
| ~ spl0_82 ),
inference(resolution,[],[f664,f419]) ).
fof(f3700,plain,
( spl0_229
| ~ spl0_58
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f738,f659,f418,f3698]) ).
fof(f738,plain,
( ! [X36,X34,X35,X32,X33] :
( theorem(or(or(X32,X33),or(X34,implies(X35,X36))))
| ~ theorem(or(implies(X35,or(X34,X36)),X33)) )
| ~ spl0_58
| ~ spl0_81 ),
inference(resolution,[],[f660,f419]) ).
fof(f3696,plain,
( spl0_228
| ~ spl0_66
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f733,f659,f491,f3694]) ).
fof(f3694,plain,
( spl0_228
<=> ! [X13,X14,X15] : theorem(or(X13,or(X14,implies(or(or(X13,or(X14,X15)),or(X13,or(X14,X15))),X15)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f733,plain,
( ! [X14,X15,X13] : theorem(or(X13,or(X14,implies(or(or(X13,or(X14,X15)),or(X13,or(X14,X15))),X15))))
| ~ spl0_66
| ~ spl0_81 ),
inference(resolution,[],[f660,f492]) ).
fof(f3692,plain,
( spl0_227
| ~ spl0_58
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f726,f655,f418,f3690]) ).
fof(f726,plain,
( ! [X36,X34,X35,X32,X33] :
( theorem(or(or(X32,X33),implies(X34,implies(X35,X36))))
| ~ theorem(or(implies(X35,implies(X34,X36)),X33)) )
| ~ spl0_58
| ~ spl0_80 ),
inference(resolution,[],[f656,f419]) ).
fof(f3688,plain,
( spl0_226
| ~ spl0_66
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f721,f655,f491,f3686]) ).
fof(f3686,plain,
( spl0_226
<=> ! [X13,X14,X15] : theorem(or(X13,implies(X14,implies(or(or(X13,implies(X14,X15)),or(X13,implies(X14,X15))),X15)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f721,plain,
( ! [X14,X15,X13] : theorem(or(X13,implies(X14,implies(or(or(X13,implies(X14,X15)),or(X13,implies(X14,X15))),X15))))
| ~ spl0_66
| ~ spl0_80 ),
inference(resolution,[],[f656,f492]) ).
fof(f3684,plain,
( spl0_225
| ~ spl0_58
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f696,f643,f418,f3682]) ).
fof(f696,plain,
( ! [X18,X19,X16,X17,X20] :
( theorem(or(or(X16,X17),implies(X18,or(X19,X20))))
| ~ theorem(or(or(X19,implies(X18,X20)),X17)) )
| ~ spl0_58
| ~ spl0_77 ),
inference(resolution,[],[f644,f419]) ).
fof(f3680,plain,
( spl0_224
| ~ spl0_74
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f2810,f2762,f619,f3678]) ).
fof(f2810,plain,
( ! [X12,X13] : theorem(or(X12,implies(X13,not(X12))))
| ~ spl0_74
| ~ spl0_191 ),
inference(resolution,[],[f2763,f620]) ).
fof(f3676,plain,
( spl0_223
| ~ spl0_58
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f687,f639,f418,f3674]) ).
fof(f687,plain,
( ! [X21,X24,X22,X23,X20] :
( theorem(or(or(X20,X21),or(X22,X23)))
| ~ theorem(implies(X24,X23))
| ~ theorem(or(or(X22,X24),X21)) )
| ~ spl0_58
| ~ spl0_76 ),
inference(resolution,[],[f640,f419]) ).
fof(f3672,plain,
( spl0_222
| ~ spl0_58
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f675,f635,f418,f3670]) ).
fof(f675,plain,
( ! [X18,X19,X16,X17,X20] :
( theorem(or(or(X16,X17),or(X18,or(X19,X20))))
| ~ theorem(or(or(X19,or(X18,X20)),X17)) )
| ~ spl0_58
| ~ spl0_75 ),
inference(resolution,[],[f636,f419]) ).
fof(f3668,plain,
( spl0_221
| ~ spl0_57
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f611,f594,f414,f3666]) ).
fof(f611,plain,
( ! [X18,X16,X17] :
( ~ theorem(or(or(X16,or(X17,not(X18))),implies(X18,X17)))
| theorem(or(X16,or(X17,not(X18)))) )
| ~ spl0_57
| ~ spl0_73 ),
inference(resolution,[],[f595,f415]) ).
fof(f3602,plain,
( spl0_220
| ~ spl0_73
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f684,f639,f594,f3600]) ).
fof(f684,plain,
( ! [X10,X11,X8,X9] :
( theorem(or(X8,or(X9,X10)))
| ~ theorem(implies(not(X11),X10))
| ~ theorem(or(X8,implies(X11,X9))) )
| ~ spl0_73
| ~ spl0_76 ),
inference(resolution,[],[f640,f595]) ).
fof(f3263,plain,
( spl0_219
| ~ spl0_28
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1216,f1046,f186,f3261]) ).
fof(f3261,plain,
( spl0_219
<=> ! [X11,X12] : theorem(implies(not(X11),implies(X11,X12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1216,plain,
( ! [X11,X12] : theorem(implies(not(X11),implies(X11,X12)))
| ~ spl0_28
| ~ spl0_115 ),
inference(resolution,[],[f1047,f187]) ).
fof(f2883,plain,
( spl0_218
| ~ spl0_6
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f757,f663,f34,f2881]) ).
fof(f757,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(X1,X3)))
| ~ theorem(implies(X0,implies(X1,X2)))
| ~ theorem(implies(X2,X3)) )
| ~ spl0_6
| ~ spl0_82 ),
inference(forward_demodulation,[],[f756,f35]) ).
fof(f756,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X1,X2)))
| theorem(or(not(X0),implies(X1,X3)))
| ~ theorem(implies(X2,X3)) )
| ~ spl0_6
| ~ spl0_82 ),
inference(superposition,[],[f664,f35]) ).
fof(f2879,plain,
( spl0_217
| ~ spl0_67
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f750,f663,f495,f2877]) ).
fof(f750,plain,
( ! [X28,X29,X26,X27] :
( theorem(or(X26,implies(implies(X27,or(X26,X28)),X29)))
| ~ theorem(implies(implies(X27,X28),X29)) )
| ~ spl0_67
| ~ spl0_82 ),
inference(resolution,[],[f664,f496]) ).
fof(f2875,plain,
( spl0_216
| ~ spl0_64
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f748,f663,f483,f2873]) ).
fof(f748,plain,
( ! [X18,X19,X17,X20] :
( theorem(or(X17,implies(or(X18,or(X17,X19)),X20)))
| ~ theorem(implies(or(X18,X19),X20)) )
| ~ spl0_64
| ~ spl0_82 ),
inference(resolution,[],[f664,f484]) ).
fof(f2871,plain,
( spl0_215
| ~ spl0_65
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f747,f663,f487,f2869]) ).
fof(f747,plain,
( ! [X16,X14,X15,X13] :
( theorem(or(X13,implies(or(X13,X14),X15)))
| ~ theorem(implies(X16,X15))
| ~ theorem(implies(X14,X16)) )
| ~ spl0_65
| ~ spl0_82 ),
inference(resolution,[],[f664,f488]) ).
fof(f2867,plain,
( spl0_214
| ~ spl0_66
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f745,f663,f491,f2865]) ).
fof(f745,plain,
( ! [X8,X6,X7] :
( theorem(or(X6,implies(or(or(X6,X7),or(X6,X7)),X8)))
| ~ theorem(implies(X7,X8)) )
| ~ spl0_66
| ~ spl0_82 ),
inference(resolution,[],[f664,f492]) ).
fof(f2863,plain,
( spl0_213
| ~ spl0_6
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f742,f659,f34,f2861]) ).
fof(f742,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,or(X2,implies(X1,X3))))
| ~ theorem(implies(X0,implies(X1,or(X2,X3)))) )
| ~ spl0_6
| ~ spl0_81 ),
inference(forward_demodulation,[],[f740,f35]) ).
fof(f740,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X1,or(X2,X3))))
| theorem(or(not(X0),or(X2,implies(X1,X3)))) )
| ~ spl0_6
| ~ spl0_81 ),
inference(superposition,[],[f660,f35]) ).
fof(f2859,plain,
( spl0_212
| ~ spl0_26
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f2812,f2762,f175,f2857]) ).
fof(f2812,plain,
( ! [X18,X17] : theorem(or(implies(X17,X18),X17))
| ~ spl0_26
| ~ spl0_191 ),
inference(resolution,[],[f2763,f176]) ).
fof(f2855,plain,
( spl0_211
| ~ spl0_65
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f735,f659,f487,f2853]) ).
fof(f735,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(X20,or(X21,implies(or(X20,X22),X23))))
| ~ theorem(implies(X22,or(X21,X23))) )
| ~ spl0_65
| ~ spl0_81 ),
inference(resolution,[],[f660,f488]) ).
fof(f2851,plain,
( spl0_210
| ~ spl0_78
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f730,f659,f647,f2849]) ).
fof(f730,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,or(X4,implies(or(X4,X5),X6))))
| ~ theorem(or(X3,implies(X5,X6))) )
| ~ spl0_78
| ~ spl0_81 ),
inference(resolution,[],[f660,f648]) ).
fof(f2847,plain,
( spl0_209
| ~ spl0_6
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f728,f655,f34,f2845]) ).
fof(f728,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(X2,implies(X1,X3))))
| ~ theorem(implies(X0,implies(X1,implies(X2,X3)))) )
| ~ spl0_6
| ~ spl0_80 ),
inference(forward_demodulation,[],[f727,f35]) ).
fof(f727,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X1,implies(X2,X3))))
| theorem(or(not(X0),implies(X2,implies(X1,X3)))) )
| ~ spl0_6
| ~ spl0_80 ),
inference(superposition,[],[f656,f35]) ).
fof(f2843,plain,
( spl0_208
| ~ spl0_65
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f723,f655,f487,f2841]) ).
fof(f723,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(X20,implies(X21,implies(or(X20,X22),X23))))
| ~ theorem(implies(X22,implies(X21,X23))) )
| ~ spl0_65
| ~ spl0_80 ),
inference(resolution,[],[f656,f488]) ).
fof(f2839,plain,
( spl0_207
| ~ spl0_79
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f718,f655,f651,f2837]) ).
fof(f718,plain,
( ! [X3,X6,X4,X5] :
( theorem(or(X3,implies(X4,implies(implies(X4,X5),X6))))
| ~ theorem(or(X3,implies(X5,X6))) )
| ~ spl0_79
| ~ spl0_80 ),
inference(resolution,[],[f656,f652]) ).
fof(f2835,plain,
( spl0_206
| ~ spl0_6
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f716,f651,f34,f2833]) ).
fof(f716,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X2,X3)))
| theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3)))) )
| ~ spl0_6
| ~ spl0_79 ),
inference(forward_demodulation,[],[f715,f35]) ).
fof(f715,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(implies(X1,X2),implies(X1,X3))))
| ~ theorem(or(not(X0),implies(X2,X3))) )
| ~ spl0_6
| ~ spl0_79 ),
inference(superposition,[],[f652,f35]) ).
fof(f2831,plain,
( spl0_205
| ~ spl0_26
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f713,f651,f175,f2829]) ).
fof(f713,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(or(X7,implies(X8,X9)))
| theorem(or(implies(implies(X10,X8),implies(X10,X9)),X7)) )
| ~ spl0_26
| ~ spl0_79 ),
inference(resolution,[],[f652,f176]) ).
fof(f2827,plain,
( spl0_204
| ~ spl0_44
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f711,f651,f300,f2825]) ).
fof(f711,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(implies(X3,X1),or(X0,implies(X3,X2)))) )
| ~ spl0_44
| ~ spl0_79 ),
inference(resolution,[],[f652,f301]) ).
fof(f2823,plain,
( spl0_203
| ~ spl0_6
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f710,f647,f34,f2821]) ).
fof(f710,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,implies(X2,X3)))
| theorem(implies(X0,implies(or(X1,X2),or(X1,X3)))) )
| ~ spl0_6
| ~ spl0_78 ),
inference(forward_demodulation,[],[f707,f35]) ).
fof(f707,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(or(X1,X2),or(X1,X3))))
| ~ theorem(or(not(X0),implies(X2,X3))) )
| ~ spl0_6
| ~ spl0_78 ),
inference(superposition,[],[f648,f35]) ).
fof(f2819,plain,
( spl0_202
| ~ spl0_26
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f703,f647,f175,f2817]) ).
fof(f703,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(or(X7,implies(X8,X9)))
| theorem(or(implies(or(X10,X8),or(X10,X9)),X7)) )
| ~ spl0_26
| ~ spl0_78 ),
inference(resolution,[],[f648,f176]) ).
fof(f2804,plain,
( spl0_201
| ~ spl0_44
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f701,f647,f300,f2802]) ).
fof(f701,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,implies(X1,X2)))
| theorem(implies(or(X3,X1),or(X0,or(X3,X2)))) )
| ~ spl0_44
| ~ spl0_78 ),
inference(resolution,[],[f648,f301]) ).
fof(f2800,plain,
( spl0_200
| ~ spl0_6
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f700,f643,f34,f2798]) ).
fof(f700,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,implies(X2,or(X1,X3))))
| ~ theorem(implies(X0,or(X1,implies(X2,X3)))) )
| ~ spl0_6
| ~ spl0_77 ),
inference(forward_demodulation,[],[f698,f35]) ).
fof(f698,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,or(X1,implies(X2,X3))))
| theorem(or(not(X0),implies(X2,or(X1,X3)))) )
| ~ spl0_6
| ~ spl0_77 ),
inference(superposition,[],[f644,f35]) ).
fof(f2796,plain,
( spl0_199
| ~ spl0_6
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f691,f639,f34,f2794]) ).
fof(f691,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,or(X1,X3)))
| ~ theorem(implies(X0,or(X1,X2)))
| ~ theorem(implies(X2,X3)) )
| ~ spl0_6
| ~ spl0_76 ),
inference(forward_demodulation,[],[f689,f35]) ).
fof(f689,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(not(X0),or(X1,X3)))
| ~ theorem(implies(X2,X3)) )
| ~ spl0_6
| ~ spl0_76 ),
inference(superposition,[],[f640,f35]) ).
fof(f2792,plain,
( spl0_198
| ~ spl0_6
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f681,f635,f34,f2790]) ).
fof(f681,plain,
( ! [X2,X3,X0,X1] :
( theorem(implies(X0,or(X2,or(X1,X3))))
| ~ theorem(implies(X0,or(X1,or(X2,X3)))) )
| ~ spl0_6
| ~ spl0_75 ),
inference(forward_demodulation,[],[f678,f35]) ).
fof(f678,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,or(X1,or(X2,X3))))
| theorem(or(not(X0),or(X2,or(X1,X3)))) )
| ~ spl0_6
| ~ spl0_75 ),
inference(superposition,[],[f636,f35]) ).
fof(f2788,plain,
( spl0_197
| ~ spl0_58
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f630,f619,f418,f2786]) ).
fof(f630,plain,
( ! [X21,X22,X23,X20] :
( theorem(or(or(X20,X21),implies(X22,not(X23))))
| ~ theorem(or(implies(X23,not(X22)),X21)) )
| ~ spl0_58
| ~ spl0_74 ),
inference(resolution,[],[f620,f419]) ).
fof(f2784,plain,
( spl0_196
| ~ spl0_33
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f588,f507,f211,f2782]) ).
fof(f588,plain,
( ! [X65,X66,X67,X64] :
( theorem(implies(implies(X64,or(X65,X66)),X67))
| ~ theorem(implies(or(X65,implies(X64,X66)),X67)) )
| ~ spl0_33
| ~ spl0_70 ),
inference(resolution,[],[f508,f212]) ).
fof(f2780,plain,
( spl0_195
| ~ spl0_46
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f585,f507,f308,f2778]) ).
fof(f585,plain,
( ! [X58,X56,X57,X55] :
( theorem(implies(implies(X55,implies(X56,X57)),X58))
| ~ theorem(implies(implies(X56,implies(X55,X57)),X58)) )
| ~ spl0_46
| ~ spl0_70 ),
inference(resolution,[],[f508,f309]) ).
fof(f2776,plain,
( spl0_194
| ~ spl0_48
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f583,f507,f318,f2774]) ).
fof(f583,plain,
( ! [X50,X51,X48,X49] :
( theorem(implies(implies(X48,X49),X50))
| ~ theorem(implies(implies(X48,X51),X50))
| ~ theorem(implies(X49,X51)) )
| ~ spl0_48
| ~ spl0_70 ),
inference(resolution,[],[f508,f319]) ).
fof(f2772,plain,
( spl0_193
| ~ spl0_36
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f582,f507,f223,f2770]) ).
fof(f582,plain,
( ! [X46,X47,X44,X45] :
( theorem(implies(implies(X44,X45),X46))
| ~ theorem(implies(implies(implies(X47,X44),implies(X47,X45)),X46)) )
| ~ spl0_36
| ~ spl0_70 ),
inference(resolution,[],[f508,f224]) ).
fof(f2768,plain,
( spl0_192
| ~ spl0_21
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f581,f507,f126,f2766]) ).
fof(f581,plain,
( ! [X40,X41,X42,X43] :
( theorem(implies(implies(X40,X41),X42))
| ~ theorem(implies(implies(or(X43,X40),or(X43,X41)),X42)) )
| ~ spl0_21
| ~ spl0_70 ),
inference(resolution,[],[f508,f127]) ).
fof(f2764,plain,
( spl0_191
| ~ spl0_45
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f2082,f2038,f304,f2762]) ).
fof(f2082,plain,
( ! [X2,X3] : theorem(or(X2,implies(X2,X3)))
| ~ spl0_45
| ~ spl0_165 ),
inference(resolution,[],[f2039,f305]) ).
fof(f2760,plain,
( spl0_190
| ~ spl0_32
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f574,f507,f207,f2758]) ).
fof(f574,plain,
( ! [X18,X19,X16,X17] :
( theorem(implies(or(X16,implies(X17,X18)),X19))
| ~ theorem(implies(implies(X17,or(X16,X18)),X19)) )
| ~ spl0_32
| ~ spl0_70 ),
inference(resolution,[],[f508,f208]) ).
fof(f2756,plain,
( spl0_189
| ~ spl0_35
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f572,f507,f219,f2754]) ).
fof(f572,plain,
( ! [X10,X11,X9,X12] :
( theorem(implies(or(X9,X10),X11))
| ~ theorem(implies(or(X9,X12),X11))
| ~ theorem(implies(X10,X12)) )
| ~ spl0_35
| ~ spl0_70 ),
inference(resolution,[],[f508,f220]) ).
fof(f2752,plain,
( spl0_188
| ~ spl0_17
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f571,f507,f110,f2750]) ).
fof(f571,plain,
( ! [X8,X6,X7,X5] :
( theorem(implies(or(X5,or(X6,X7)),X8))
| ~ theorem(implies(or(X6,or(X5,X7)),X8)) )
| ~ spl0_17
| ~ spl0_70 ),
inference(resolution,[],[f508,f111]) ).
fof(f2722,plain,
( spl0_187
| ~ spl0_66
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f625,f619,f491,f2720]) ).
fof(f625,plain,
( ! [X6,X7] : theorem(or(X6,implies(X7,not(or(or(X6,not(X7)),or(X6,not(X7)))))))
| ~ spl0_66
| ~ spl0_74 ),
inference(resolution,[],[f620,f492]) ).
fof(f2718,plain,
( spl0_186
| ~ spl0_58
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f601,f590,f418,f2716]) ).
fof(f601,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(or(X12,X13),implies(X14,X15)))
| ~ theorem(or(or(X15,not(X14)),X13)) )
| ~ spl0_58
| ~ spl0_72 ),
inference(resolution,[],[f591,f419]) ).
fof(f2164,plain,
( spl0_185
| ~ spl0_127
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f2084,f2038,f1410,f2162]) ).
fof(f2162,plain,
( spl0_185
<=> ! [X5] : theorem(or(X5,not(X5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f2084,plain,
( ! [X5] : theorem(or(X5,not(X5)))
| ~ spl0_127
| ~ spl0_165 ),
inference(resolution,[],[f2039,f1411]) ).
fof(f2132,plain,
( spl0_184
| ~ spl0_23
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f754,f663,f159,f2130]) ).
fof(f754,plain,
( ! [X44,X45,X42,X43] :
( theorem(or(X42,implies(X43,X44)))
| ~ theorem(implies(X45,X44))
| ~ theorem(implies(X43,X45)) )
| ~ spl0_23
| ~ spl0_82 ),
inference(resolution,[],[f664,f160]) ).
fof(f2128,plain,
( spl0_183
| ~ spl0_59
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f746,f663,f422,f2126]) ).
fof(f746,plain,
( ! [X10,X11,X9,X12] :
( theorem(or(X9,implies(X10,X11)))
| ~ theorem(implies(X12,X11))
| ~ theorem(or(X9,X12)) )
| ~ spl0_59
| ~ spl0_82 ),
inference(resolution,[],[f664,f423]) ).
fof(f2124,plain,
( spl0_182
| ~ spl0_23
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f737,f659,f159,f2122]) ).
fof(f737,plain,
( ! [X31,X28,X29,X30] :
( theorem(or(X28,or(X29,implies(X30,X31))))
| ~ theorem(implies(X30,or(X29,X31))) )
| ~ spl0_23
| ~ spl0_81 ),
inference(resolution,[],[f660,f160]) ).
fof(f2120,plain,
( spl0_181
| ~ spl0_59
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f734,f659,f422,f2118]) ).
fof(f734,plain,
( ! [X18,X19,X16,X17] :
( theorem(or(X16,or(X17,implies(X18,X19))))
| ~ theorem(or(X16,or(X17,X19))) )
| ~ spl0_59
| ~ spl0_81 ),
inference(resolution,[],[f660,f423]) ).
fof(f2116,plain,
( spl0_180
| ~ spl0_23
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f725,f655,f159,f2114]) ).
fof(f725,plain,
( ! [X31,X28,X29,X30] :
( theorem(or(X28,implies(X29,implies(X30,X31))))
| ~ theorem(implies(X30,implies(X29,X31))) )
| ~ spl0_23
| ~ spl0_80 ),
inference(resolution,[],[f656,f160]) ).
fof(f2112,plain,
( spl0_179
| ~ spl0_59
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f722,f655,f422,f2110]) ).
fof(f722,plain,
( ! [X18,X19,X16,X17] :
( theorem(or(X16,implies(X17,implies(X18,X19))))
| ~ theorem(or(X16,implies(X17,X19))) )
| ~ spl0_59
| ~ spl0_80 ),
inference(resolution,[],[f656,f423]) ).
fof(f2108,plain,
( spl0_178
| ~ spl0_23
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f695,f643,f159,f2106]) ).
fof(f695,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,implies(X13,or(X14,X15))))
| ~ theorem(or(X14,implies(X13,X15))) )
| ~ spl0_23
| ~ spl0_77 ),
inference(resolution,[],[f644,f160]) ).
fof(f2104,plain,
( spl0_177
| ~ spl0_43
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f693,f643,f289,f2102]) ).
fof(f693,plain,
( ! [X6,X7,X4,X5] :
( theorem(or(X4,implies(X5,or(X6,X7))))
| ~ theorem(or(X4,implies(X5,X7))) )
| ~ spl0_43
| ~ spl0_77 ),
inference(resolution,[],[f644,f290]) ).
fof(f2100,plain,
( spl0_176
| ~ spl0_23
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f686,f639,f159,f2098]) ).
fof(f686,plain,
( ! [X18,X19,X16,X17] :
( theorem(or(X16,or(X17,X18)))
| ~ theorem(implies(X19,X18))
| ~ theorem(or(X17,X19)) )
| ~ spl0_23
| ~ spl0_76 ),
inference(resolution,[],[f640,f160]) ).
fof(f2080,plain,
( spl0_175
| ~ spl0_23
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f674,f635,f159,f2078]) ).
fof(f674,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(X12,or(X13,or(X14,X15))))
| ~ theorem(or(X14,or(X13,X15))) )
| ~ spl0_23
| ~ spl0_75 ),
inference(resolution,[],[f636,f160]) ).
fof(f2076,plain,
( spl0_174
| ~ spl0_43
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f672,f635,f289,f2074]) ).
fof(f672,plain,
( ! [X6,X7,X4,X5] :
( theorem(or(X4,or(X5,or(X6,X7))))
| ~ theorem(or(X4,or(X5,X7))) )
| ~ spl0_43
| ~ spl0_75 ),
inference(resolution,[],[f636,f290]) ).
fof(f2072,plain,
( spl0_173
| ~ spl0_6
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f633,f619,f34,f2070]) ).
fof(f633,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(X2,not(X1))))
| ~ theorem(implies(X0,implies(X1,not(X2)))) )
| ~ spl0_6
| ~ spl0_74 ),
inference(forward_demodulation,[],[f631,f35]) ).
fof(f631,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X1,not(X2))))
| theorem(or(not(X0),implies(X2,not(X1)))) )
| ~ spl0_6
| ~ spl0_74 ),
inference(superposition,[],[f620,f35]) ).
fof(f2068,plain,
( spl0_172
| ~ spl0_65
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f627,f619,f487,f2066]) ).
fof(f627,plain,
( ! [X11,X12,X13] :
( theorem(or(X11,implies(X12,not(or(X11,X13)))))
| ~ theorem(implies(X13,not(X12))) )
| ~ spl0_65
| ~ spl0_74 ),
inference(resolution,[],[f620,f488]) ).
fof(f2064,plain,
( spl0_171
| ~ spl0_19
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f609,f594,f118,f2062]) ).
fof(f609,plain,
( ! [X11,X12] :
( ~ theorem(or(or(X11,not(X12)),implies(X12,X11)))
| theorem(or(X11,not(X12))) )
| ~ spl0_19
| ~ spl0_73 ),
inference(resolution,[],[f595,f119]) ).
fof(f2060,plain,
( spl0_170
| ~ spl0_42
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f584,f507,f285,f2058]) ).
fof(f584,plain,
( ! [X54,X52,X53] :
( theorem(implies(implies(X52,not(X53)),X54))
| ~ theorem(implies(implies(X53,not(X52)),X54)) )
| ~ spl0_42
| ~ spl0_70 ),
inference(resolution,[],[f508,f286]) ).
fof(f2056,plain,
( spl0_169
| ~ spl0_60
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f576,f507,f426,f2054]) ).
fof(f576,plain,
( ! [X26,X24,X25,X23] :
( theorem(implies(X23,X24))
| ~ theorem(implies(or(X25,X26),X24))
| ~ theorem(implies(X23,X26)) )
| ~ spl0_60
| ~ spl0_70 ),
inference(resolution,[],[f508,f427]) ).
fof(f2052,plain,
( spl0_168
| ~ spl0_58
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f566,f503,f418,f2050]) ).
fof(f566,plain,
( ! [X10,X8,X9] :
( theorem(or(or(X8,X9),not(X10)))
| ~ theorem(or(implies(X10,not(X10)),X9)) )
| ~ spl0_58
| ~ spl0_69 ),
inference(resolution,[],[f504,f419]) ).
fof(f2048,plain,
( spl0_167
| ~ spl0_65
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f563,f503,f487,f2046]) ).
fof(f563,plain,
( ! [X2,X3] :
( theorem(or(X2,not(or(X2,X3))))
| ~ theorem(implies(X3,not(or(X2,X3)))) )
| ~ spl0_65
| ~ spl0_69 ),
inference(resolution,[],[f504,f488]) ).
fof(f2044,plain,
( spl0_166
| ~ spl0_58
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f558,f499,f418,f2042]) ).
fof(f558,plain,
( ! [X14,X15,X12,X13] :
( theorem(or(or(X12,X13),or(X14,X15)))
| ~ theorem(or(or(X15,X14),X13)) )
| ~ spl0_58
| ~ spl0_68 ),
inference(resolution,[],[f500,f419]) ).
fof(f2040,plain,
( spl0_165
| ~ spl0_13
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1213,f1046,f86,f2038]) ).
fof(f1213,plain,
( ! [X3,X4] : theorem(implies(X3,or(X3,X4)))
| ~ spl0_13
| ~ spl0_115 ),
inference(resolution,[],[f1047,f87]) ).
fof(f2036,plain,
( spl0_164
| ~ spl0_47
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f462,f426,f312,f2034]) ).
fof(f462,plain,
( ! [X3,X6,X4,X5] :
( ~ theorem(implies(X3,X4))
| theorem(or(X5,or(X6,X4)))
| ~ theorem(or(X5,X3)) )
| ~ spl0_47
| ~ spl0_60 ),
inference(resolution,[],[f427,f313]) ).
fof(f2032,plain,
( spl0_163
| ~ spl0_57
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f457,f422,f414,f2030]) ).
fof(f457,plain,
( ! [X10,X8,X9] :
( ~ theorem(or(or(X8,implies(X9,X10)),X10))
| theorem(or(X8,implies(X9,X10))) )
| ~ spl0_57
| ~ spl0_59 ),
inference(resolution,[],[f423,f415]) ).
fof(f2028,plain,
( spl0_162
| ~ spl0_44
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f449,f418,f300,f2026]) ).
fof(f449,plain,
( ! [X11,X14,X12,X13] :
( ~ theorem(or(implies(X11,X12),X13))
| theorem(implies(X11,or(or(X14,X13),X12))) )
| ~ spl0_44
| ~ spl0_58 ),
inference(resolution,[],[f419,f301]) ).
fof(f2024,plain,
( spl0_161
| ~ spl0_31
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f448,f418,f203,f2022]) ).
fof(f448,plain,
( ! [X10,X8,X9,X7] :
( ~ theorem(or(or(X7,X8),X9))
| theorem(or(X7,or(or(X10,X9),X8))) )
| ~ spl0_31
| ~ spl0_58 ),
inference(resolution,[],[f419,f204]) ).
fof(f2020,plain,
( spl0_160
| ~ spl0_43
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f441,f414,f289,f2018]) ).
fof(f441,plain,
( ! [X8,X9,X7] :
( theorem(or(X7,or(X8,X9)))
| ~ theorem(or(or(X7,or(X8,X9)),X9)) )
| ~ spl0_43
| ~ spl0_57 ),
inference(resolution,[],[f415,f290]) ).
fof(f1885,plain,
( spl0_159
| ~ spl0_55
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f752,f663,f403,f1883]) ).
fof(f752,plain,
( ! [X36,X37,X35] :
( theorem(or(X35,implies(implies(X36,X35),X37)))
| ~ theorem(implies(not(X36),X37)) )
| ~ spl0_55
| ~ spl0_82 ),
inference(resolution,[],[f664,f404]) ).
fof(f1881,plain,
( spl0_158
| ~ spl0_6
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f615,f594,f34,f1879]) ).
fof(f615,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X2,X1)))
| theorem(implies(X0,or(X1,not(X2)))) )
| ~ spl0_6
| ~ spl0_73 ),
inference(forward_demodulation,[],[f613,f35]) ).
fof(f613,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,not(X2))))
| ~ theorem(or(not(X0),implies(X2,X1))) )
| ~ spl0_6
| ~ spl0_73 ),
inference(superposition,[],[f595,f35]) ).
fof(f1877,plain,
( spl0_157
| ~ spl0_26
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f610,f594,f175,f1875]) ).
fof(f610,plain,
( ! [X14,X15,X13] :
( ~ theorem(or(X13,implies(X14,X15)))
| theorem(or(or(X15,not(X14)),X13)) )
| ~ spl0_26
| ~ spl0_73 ),
inference(resolution,[],[f595,f176]) ).
fof(f1873,plain,
( spl0_156
| ~ spl0_31
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f607,f594,f203,f1871]) ).
fof(f607,plain,
( ! [X8,X6,X7] :
( ~ theorem(or(X6,implies(X7,X8)))
| theorem(or(X8,or(X6,not(X7)))) )
| ~ spl0_31
| ~ spl0_73 ),
inference(resolution,[],[f595,f204]) ).
fof(f1869,plain,
( spl0_155
| ~ spl0_6
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f604,f590,f34,f1867]) ).
fof(f604,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(X2,X1)))
| ~ theorem(implies(X0,or(X1,not(X2)))) )
| ~ spl0_6
| ~ spl0_72 ),
inference(forward_demodulation,[],[f603,f35]) ).
fof(f603,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,or(X1,not(X2))))
| theorem(or(not(X0),implies(X2,X1))) )
| ~ spl0_6
| ~ spl0_72 ),
inference(superposition,[],[f591,f35]) ).
fof(f1865,plain,
( spl0_154
| ~ spl0_27
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f587,f507,f182,f1863]) ).
fof(f587,plain,
( ! [X62,X63,X61] :
( theorem(implies(implies(X61,X62),X63))
| ~ theorem(implies(or(X62,not(X61)),X63)) )
| ~ spl0_27
| ~ spl0_70 ),
inference(resolution,[],[f508,f183]) ).
fof(f1861,plain,
( spl0_153
| ~ spl0_28
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f573,f507,f186,f1859]) ).
fof(f573,plain,
( ! [X14,X15,X13] :
( theorem(implies(or(X13,not(X14)),X15))
| ~ theorem(implies(implies(X14,X13),X15)) )
| ~ spl0_28
| ~ spl0_70 ),
inference(resolution,[],[f508,f187]) ).
fof(f1691,plain,
( ~ spl0_152
| ~ spl0_39
| spl0_132 ),
inference(avatar_split_clause,[],[f1550,f1430,f264,f1688]) ).
fof(f1550,plain,
( ~ theorem(implies(q,p))
| ~ spl0_39
| spl0_132 ),
inference(resolution,[],[f1432,f265]) ).
fof(f1510,plain,
( spl0_151
| ~ spl0_54
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f744,f663,f385,f1508]) ).
fof(f744,plain,
( ! [X3,X4,X5] :
( theorem(or(X3,implies(or(X4,X3),X5)))
| ~ theorem(implies(X4,X5)) )
| ~ spl0_54
| ~ spl0_82 ),
inference(resolution,[],[f664,f386]) ).
fof(f1506,plain,
( spl0_150
| ~ spl0_54
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f732,f659,f385,f1504]) ).
fof(f732,plain,
( ! [X10,X11,X12] : theorem(or(X10,or(X11,implies(or(or(X11,X12),X10),X12))))
| ~ spl0_54
| ~ spl0_81 ),
inference(resolution,[],[f660,f386]) ).
fof(f1502,plain,
( spl0_149
| ~ spl0_64
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f729,f659,f483,f1500]) ).
fof(f729,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,implies(or(X1,or(X0,X2)),X2))))
| ~ spl0_64
| ~ spl0_81 ),
inference(resolution,[],[f660,f484]) ).
fof(f1498,plain,
( spl0_148
| ~ spl0_54
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f720,f655,f385,f1496]) ).
fof(f720,plain,
( ! [X10,X11,X12] : theorem(or(X10,implies(X11,implies(or(implies(X11,X12),X10),X12))))
| ~ spl0_54
| ~ spl0_80 ),
inference(resolution,[],[f656,f386]) ).
fof(f1494,plain,
( spl0_147
| ~ spl0_67
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f717,f655,f495,f1492]) ).
fof(f717,plain,
( ! [X2,X0,X1] : theorem(or(X0,implies(X1,implies(implies(X1,or(X0,X2)),X2))))
| ~ spl0_67
| ~ spl0_80 ),
inference(resolution,[],[f656,f496]) ).
fof(f1490,plain,
( spl0_146
| ~ spl0_23
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f629,f619,f159,f1488]) ).
fof(f629,plain,
( ! [X18,X19,X17] :
( theorem(or(X17,implies(X18,not(X19))))
| ~ theorem(implies(X19,not(X18))) )
| ~ spl0_23
| ~ spl0_74 ),
inference(resolution,[],[f620,f160]) ).
fof(f1486,plain,
( spl0_145
| ~ spl0_25
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f586,f507,f171,f1484]) ).
fof(f586,plain,
( ! [X59,X60] :
( theorem(implies(implies(X59,not(X59)),X60))
| ~ theorem(implies(not(X59),X60)) )
| ~ spl0_25
| ~ spl0_70 ),
inference(resolution,[],[f508,f172]) ).
fof(f1482,plain,
( spl0_144
| ~ spl0_53
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f577,f507,f381,f1480]) ).
fof(f381,plain,
( spl0_53
<=> ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f577,plain,
( ! [X28,X29,X27,X30] :
( theorem(implies(X27,X28))
| ~ theorem(implies(or(X29,X30),X28))
| ~ theorem(X29) )
| ~ spl0_53
| ~ spl0_70 ),
inference(resolution,[],[f508,f382]) ).
fof(f382,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(X1) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f1478,plain,
( ~ spl0_143
| spl0_41
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1406,f1341,f272,f1475]) ).
fof(f1406,plain,
( ~ theorem(or(r,not(q)))
| spl0_41
| ~ spl0_126 ),
inference(resolution,[],[f1342,f274]) ).
fof(f1473,plain,
( spl0_142
| ~ spl0_13
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f570,f507,f86,f1471]) ).
fof(f570,plain,
( ! [X2,X3,X4] :
( theorem(implies(or(X2,X3),X4))
| ~ theorem(implies(or(X3,X2),X4)) )
| ~ spl0_13
| ~ spl0_70 ),
inference(resolution,[],[f508,f87]) ).
fof(f1469,plain,
( spl0_141
| ~ spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f568,f503,f34,f1467]) ).
fof(f568,plain,
( ! [X0,X1] :
( theorem(implies(X0,not(X1)))
| ~ theorem(implies(X0,implies(X1,not(X1)))) )
| ~ spl0_6
| ~ spl0_69 ),
inference(forward_demodulation,[],[f567,f35]) ).
fof(f567,plain,
( ! [X0,X1] :
( ~ theorem(implies(X0,implies(X1,not(X1))))
| theorem(or(not(X0),not(X1))) )
| ~ spl0_6
| ~ spl0_69 ),
inference(superposition,[],[f504,f35]) ).
fof(f1465,plain,
( spl0_140
| ~ spl0_6
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f561,f499,f34,f1463]) ).
fof(f561,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X2,X1)))
| ~ theorem(implies(X0,or(X1,X2))) )
| ~ spl0_6
| ~ spl0_68 ),
inference(forward_demodulation,[],[f560,f35]) ).
fof(f560,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(not(X0),or(X2,X1))) )
| ~ spl0_6
| ~ spl0_68 ),
inference(superposition,[],[f500,f35]) ).
fof(f1461,plain,
( spl0_139
| ~ spl0_26
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f549,f495,f175,f1459]) ).
fof(f549,plain,
( ! [X3,X4,X5] : theorem(or(implies(implies(X3,or(X4,X5)),implies(X3,X5)),X4))
| ~ spl0_26
| ~ spl0_67 ),
inference(resolution,[],[f496,f176]) ).
fof(f1457,plain,
( spl0_138
| ~ spl0_26
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f543,f491,f175,f1455]) ).
fof(f543,plain,
( ! [X2,X3] : theorem(or(implies(or(or(X2,X3),or(X2,X3)),X3),X2))
| ~ spl0_26
| ~ spl0_66 ),
inference(resolution,[],[f492,f176]) ).
fof(f1453,plain,
( spl0_137
| ~ spl0_26
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f537,f487,f175,f1451]) ).
fof(f537,plain,
( ! [X3,X4,X5] :
( ~ theorem(implies(X3,X4))
| theorem(or(implies(or(X5,X3),X4),X5)) )
| ~ spl0_26
| ~ spl0_65 ),
inference(resolution,[],[f488,f176]) ).
fof(f1449,plain,
( spl0_136
| ~ spl0_26
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f522,f483,f175,f1447]) ).
fof(f522,plain,
( ! [X3,X4,X5] : theorem(or(implies(or(X3,or(X4,X5)),or(X3,X5)),X4))
| ~ spl0_26
| ~ spl0_64 ),
inference(resolution,[],[f484,f176]) ).
fof(f1445,plain,
( spl0_135
| ~ spl0_46
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f520,f479,f308,f1443]) ).
fof(f520,plain,
( ! [X28,X26,X27] : theorem(implies(X26,implies(implies(X27,implies(X26,X28)),implies(X27,X28))))
| ~ spl0_46
| ~ spl0_63 ),
inference(resolution,[],[f480,f309]) ).
fof(f1441,plain,
( spl0_134
| ~ spl0_48
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f518,f479,f318,f1439]) ).
fof(f518,plain,
( ! [X21,X22,X23] :
( theorem(implies(X21,implies(implies(X21,X22),X23)))
| ~ theorem(implies(X22,X23)) )
| ~ spl0_48
| ~ spl0_63 ),
inference(resolution,[],[f480,f319]) ).
fof(f1437,plain,
( spl0_133
| ~ spl0_36
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f517,f479,f223,f1435]) ).
fof(f517,plain,
( ! [X18,X19,X20] : theorem(implies(implies(X18,X19),implies(implies(X19,X20),implies(X18,X20))))
| ~ spl0_36
| ~ spl0_63 ),
inference(resolution,[],[f480,f224]) ).
fof(f1433,plain,
( ~ spl0_132
| spl0_41
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1391,f1337,f272,f1430]) ).
fof(f1391,plain,
( ~ theorem(or(p,not(q)))
| spl0_41
| ~ spl0_125 ),
inference(resolution,[],[f1338,f274]) ).
fof(f1428,plain,
( spl0_131
| ~ spl0_21
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f516,f479,f126,f1426]) ).
fof(f516,plain,
( ! [X16,X17,X15] : theorem(implies(or(X15,X16),implies(implies(X16,X17),or(X15,X17))))
| ~ spl0_21
| ~ spl0_63 ),
inference(resolution,[],[f480,f127]) ).
fof(f1424,plain,
( spl0_130
| ~ spl0_8
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f512,f479,f43,f1422]) ).
fof(f512,plain,
( ! [X6,X5] : theorem(implies(X5,implies(or(implies(X5,X6),implies(X5,X6)),X6)))
| ~ spl0_8
| ~ spl0_63 ),
inference(resolution,[],[f480,f44]) ).
fof(f1420,plain,
( spl0_129
| ~ spl0_32
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f511,f479,f207,f1418]) ).
fof(f511,plain,
( ! [X2,X3,X4] : theorem(implies(X2,implies(or(X3,implies(X2,X4)),or(X3,X4))))
| ~ spl0_32
| ~ spl0_63 ),
inference(resolution,[],[f480,f208]) ).
fof(f1416,plain,
( spl0_128
| ~ spl0_58
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f469,f430,f418,f1414]) ).
fof(f469,plain,
( ! [X10,X8,X9] :
( theorem(or(or(X8,X9),X10))
| ~ theorem(or(or(X10,X10),X9)) )
| ~ spl0_58
| ~ spl0_61 ),
inference(resolution,[],[f431,f419]) ).
fof(f1412,plain,
( spl0_127
| ~ spl0_39
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f443,f414,f264,f1410]) ).
fof(f443,plain,
( ! [X12,X13] :
( theorem(or(X12,not(X13)))
| ~ theorem(implies(X13,or(X12,not(X13)))) )
| ~ spl0_39
| ~ spl0_57 ),
inference(resolution,[],[f415,f265]) ).
fof(f1343,plain,
( spl0_126
| ~ spl0_23
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f600,f590,f159,f1341]) ).
fof(f600,plain,
( ! [X10,X11,X9] :
( theorem(or(X9,implies(X10,X11)))
| ~ theorem(or(X11,not(X10))) )
| ~ spl0_23
| ~ spl0_72 ),
inference(resolution,[],[f591,f160]) ).
fof(f1339,plain,
( spl0_125
| ~ spl0_43
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f598,f590,f289,f1337]) ).
fof(f598,plain,
( ! [X3,X4,X5] :
( theorem(or(X3,implies(X4,X5)))
| ~ theorem(or(X3,not(X4))) )
| ~ spl0_43
| ~ spl0_72 ),
inference(resolution,[],[f591,f290]) ).
fof(f1333,plain,
( spl0_124
| ~ spl0_47
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f367,f363,f312,f1331]) ).
fof(f367,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,X0)) )
| ~ spl0_47
| ~ spl0_50 ),
inference(resolution,[],[f364,f313]) ).
fof(f1197,plain,
( ~ spl0_123
| spl0_85
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1117,f1014,f766,f1194]) ).
fof(f1117,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),r))
| spl0_85
| ~ spl0_108 ),
inference(resolution,[],[f1015,f768]) ).
fof(f1076,plain,
( spl0_122
| ~ spl0_49
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f731,f659,f355,f1074]) ).
fof(f731,plain,
( ! [X8,X9,X7] : theorem(or(X7,or(X8,implies(or(X8,X9),X9))))
| ~ spl0_49
| ~ spl0_81 ),
inference(resolution,[],[f660,f356]) ).
fof(f1072,plain,
( spl0_121
| ~ spl0_49
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f719,f655,f355,f1070]) ).
fof(f719,plain,
( ! [X8,X9,X7] : theorem(or(X7,implies(X8,implies(implies(X8,X9),X9))))
| ~ spl0_49
| ~ spl0_80 ),
inference(resolution,[],[f656,f356]) ).
fof(f1068,plain,
( spl0_120
| ~ spl0_7
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1024,f956,f38,f1066]) ).
fof(f1066,plain,
( spl0_120
<=> ! [X5] :
( theorem(not(not(X5)))
| ~ theorem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1024,plain,
( ! [X5] :
( theorem(not(not(X5)))
| ~ theorem(X5) )
| ~ spl0_7
| ~ spl0_104 ),
inference(resolution,[],[f957,f39]) ).
fof(f1064,plain,
( spl0_119
| ~ spl0_52
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f692,f643,f377,f1062]) ).
fof(f692,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,implies(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_52
| ~ spl0_77 ),
inference(resolution,[],[f644,f378]) ).
fof(f1060,plain,
( spl0_118
| ~ spl0_52
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f671,f635,f377,f1058]) ).
fof(f671,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_52
| ~ spl0_75 ),
inference(resolution,[],[f636,f378]) ).
fof(f1056,plain,
( spl0_117
| ~ spl0_29
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f580,f507,f194,f1054]) ).
fof(f580,plain,
( ! [X38,X39,X37] :
( theorem(implies(X37,X38))
| ~ theorem(implies(X39,X38))
| ~ theorem(X39) )
| ~ spl0_29
| ~ spl0_70 ),
inference(resolution,[],[f508,f195]) ).
fof(f1052,plain,
( spl0_116
| ~ spl0_24
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f578,f507,f163,f1050]) ).
fof(f578,plain,
( ! [X31,X32,X33] :
( theorem(implies(X31,X32))
| ~ theorem(implies(implies(X33,X31),X32)) )
| ~ spl0_24
| ~ spl0_70 ),
inference(resolution,[],[f508,f164]) ).
fof(f1048,plain,
( spl0_115
| ~ spl0_11
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f575,f507,f73,f1046]) ).
fof(f575,plain,
( ! [X21,X22,X20] :
( theorem(implies(X20,X21))
| ~ theorem(implies(or(X22,X20),X21)) )
| ~ spl0_11
| ~ spl0_70 ),
inference(resolution,[],[f508,f74]) ).
fof(f1044,plain,
( spl0_114
| ~ spl0_8
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f569,f507,f43,f1042]) ).
fof(f569,plain,
( ! [X0,X1] :
( theorem(implies(or(X0,X0),X1))
| ~ theorem(implies(X0,X1)) )
| ~ spl0_8
| ~ spl0_70 ),
inference(resolution,[],[f508,f44]) ).
fof(f1040,plain,
( spl0_113
| ~ spl0_23
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f565,f503,f159,f1038]) ).
fof(f565,plain,
( ! [X6,X7] :
( theorem(or(X6,not(X7)))
| ~ theorem(implies(X7,not(X7))) )
| ~ spl0_23
| ~ spl0_69 ),
inference(resolution,[],[f504,f160]) ).
fof(f1036,plain,
( spl0_112
| ~ spl0_23
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f557,f499,f159,f1034]) ).
fof(f557,plain,
( ! [X10,X11,X9] :
( theorem(or(X9,or(X10,X11)))
| ~ theorem(or(X11,X10)) )
| ~ spl0_23
| ~ spl0_68 ),
inference(resolution,[],[f500,f160]) ).
fof(f1032,plain,
( spl0_111
| ~ spl0_43
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f555,f499,f289,f1030]) ).
fof(f555,plain,
( ! [X3,X4,X5] :
( theorem(or(X3,or(X4,X5)))
| ~ theorem(or(X3,X4)) )
| ~ spl0_43
| ~ spl0_68 ),
inference(resolution,[],[f500,f290]) ).
fof(f1028,plain,
( spl0_110
| ~ spl0_6
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f472,f430,f34,f1026]) ).
fof(f472,plain,
( ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(implies(X0,or(X1,X1))) )
| ~ spl0_6
| ~ spl0_61 ),
inference(forward_demodulation,[],[f471,f35]) ).
fof(f471,plain,
( ! [X0,X1] :
( ~ theorem(implies(X0,or(X1,X1)))
| theorem(or(not(X0),X1)) )
| ~ spl0_6
| ~ spl0_61 ),
inference(superposition,[],[f431,f35]) ).
fof(f1020,plain,
( spl0_109
| ~ spl0_7
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f463,f426,f38,f1018]) ).
fof(f463,plain,
( ! [X8,X9,X7] :
( ~ theorem(implies(X7,X8))
| theorem(or(X9,X8))
| ~ theorem(X7) )
| ~ spl0_7
| ~ spl0_60 ),
inference(resolution,[],[f427,f39]) ).
fof(f1016,plain,
( spl0_108
| ~ spl0_6
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f459,f422,f34,f1014]) ).
fof(f459,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,X2))
| theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_6
| ~ spl0_59 ),
inference(forward_demodulation,[],[f458,f35]) ).
fof(f458,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_6
| ~ spl0_59 ),
inference(superposition,[],[f423,f35]) ).
fof(f1012,plain,
( spl0_107
| ~ spl0_6
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f451,f418,f34,f1010]) ).
fof(f451,plain,
( ! [X2,X0,X1] :
( theorem(or(implies(X0,X1),X2))
| ~ theorem(or(X2,X1)) )
| ~ spl0_6
| ~ spl0_58 ),
inference(superposition,[],[f419,f35]) ).
fof(f1008,plain,
( spl0_106
| ~ spl0_6
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f444,f414,f34,f1006]) ).
fof(f444,plain,
( ! [X0,X1] :
( ~ theorem(or(implies(X0,X1),X1))
| theorem(implies(X0,X1)) )
| ~ spl0_6
| ~ spl0_57 ),
inference(superposition,[],[f415,f35]) ).
fof(f1004,plain,
( spl0_105
| ~ spl0_6
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f408,f403,f34,f1002]) ).
fof(f408,plain,
( ! [X0,X1] : theorem(implies(X0,implies(implies(X1,not(X0)),not(X1))))
| ~ spl0_6
| ~ spl0_55 ),
inference(superposition,[],[f404,f35]) ).
fof(f958,plain,
( spl0_104
| ~ spl0_56
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f781,f773,f410,f956]) ).
fof(f781,plain,
( ! [X9] : theorem(implies(X9,not(not(X9))))
| ~ spl0_56
| ~ spl0_86 ),
inference(resolution,[],[f774,f411]) ).
fof(f954,plain,
( spl0_103
| ~ spl0_55
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f622,f619,f403,f952]) ).
fof(f622,plain,
( ! [X0,X1] : theorem(or(X0,implies(X1,not(implies(X1,X0)))))
| ~ spl0_55
| ~ spl0_74 ),
inference(resolution,[],[f620,f404]) ).
fof(f950,plain,
( spl0_102
| ~ spl0_26
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f407,f403,f175,f948]) ).
fof(f407,plain,
( ! [X2,X3] : theorem(or(implies(implies(X2,X3),not(X2)),X3))
| ~ spl0_26
| ~ spl0_55 ),
inference(resolution,[],[f404,f176]) ).
fof(f946,plain,
( spl0_101
| ~ spl0_6
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f401,f385,f34,f944]) ).
fof(f401,plain,
( ! [X0,X1] : theorem(implies(X0,implies(or(X1,not(X0)),X1)))
| ~ spl0_6
| ~ spl0_54 ),
inference(superposition,[],[f386,f35]) ).
fof(f942,plain,
( spl0_100
| ~ spl0_6
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f397,f381,f34,f940]) ).
fof(f397,plain,
( ! [X2,X0,X1] :
( theorem(implies(X2,implies(X0,X1)))
| ~ theorem(not(X0)) )
| ~ spl0_6
| ~ spl0_53 ),
inference(superposition,[],[f382,f35]) ).
fof(f938,plain,
( spl0_99
| ~ spl0_45
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f370,f363,f304,f936]) ).
fof(f370,plain,
( ! [X8,X6,X7] :
( ~ theorem(not(X6))
| theorem(or(X7,implies(X6,X8))) )
| ~ spl0_45
| ~ spl0_50 ),
inference(resolution,[],[f364,f305]) ).
fof(f849,plain,
( spl0_98
| ~ spl0_49
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f623,f619,f355,f847]) ).
fof(f623,plain,
( ! [X2,X3] : theorem(or(X2,implies(X3,not(not(X3)))))
| ~ spl0_49
| ~ spl0_74 ),
inference(resolution,[],[f620,f356]) ).
fof(f845,plain,
( spl0_97
| ~ spl0_52
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f597,f590,f377,f843]) ).
fof(f597,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_52
| ~ spl0_72 ),
inference(resolution,[],[f591,f378]) ).
fof(f841,plain,
( spl0_96
| ~ spl0_52
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f554,f499,f377,f839]) ).
fof(f554,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_52
| ~ spl0_68 ),
inference(resolution,[],[f500,f378]) ).
fof(f837,plain,
( spl0_95
| ~ spl0_57
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f445,f418,f414,f835]) ).
fof(f445,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_57
| ~ spl0_58 ),
inference(resolution,[],[f419,f415]) ).
fof(f833,plain,
( spl0_94
| ~ spl0_6
| ~ spl0_8
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f437,f410,f43,f34,f831]) ).
fof(f437,plain,
( ! [X0] : theorem(implies(X0,not(implies(X0,not(X0)))))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_56 ),
inference(forward_demodulation,[],[f433,f35]) ).
fof(f433,plain,
( ! [X0] : theorem(implies(X0,not(or(not(X0),not(X0)))))
| ~ spl0_8
| ~ spl0_56 ),
inference(resolution,[],[f411,f44]) ).
fof(f829,plain,
( spl0_93
| ~ spl0_26
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f399,f385,f175,f827]) ).
fof(f399,plain,
( ! [X2,X3] : theorem(or(implies(or(X2,X3),X2),X3))
| ~ spl0_26
| ~ spl0_54 ),
inference(resolution,[],[f386,f176]) ).
fof(f825,plain,
( spl0_92
| ~ spl0_26
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f390,f377,f175,f823]) ).
fof(f390,plain,
( ! [X6,X7,X5] :
( ~ theorem(X5)
| theorem(or(or(X5,X6),X7)) )
| ~ spl0_26
| ~ spl0_52 ),
inference(resolution,[],[f378,f176]) ).
fof(f821,plain,
( ~ spl0_91
| ~ spl0_50
| spl0_62 ),
inference(avatar_split_clause,[],[f616,f474,f363,f818]) ).
fof(f616,plain,
( ~ theorem(not(q))
| ~ spl0_50
| spl0_62 ),
inference(resolution,[],[f476,f364]) ).
fof(f816,plain,
( spl0_89
| spl0_90
| ~ spl0_7
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f368,f363,f38,f814,f811]) ).
fof(f368,plain,
( ! [X3,X4] :
( ~ theorem(not(X3))
| theorem(X4)
| ~ theorem(X3) )
| ~ spl0_7
| ~ spl0_50 ),
inference(resolution,[],[f364,f39]) ).
fof(f789,plain,
( spl0_88
| ~ spl0_6
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f361,f355,f34,f787]) ).
fof(f361,plain,
( ! [X0,X1] : theorem(implies(X0,implies(X1,X1)))
| ~ spl0_6
| ~ spl0_49 ),
inference(superposition,[],[f356,f35]) ).
fof(f785,plain,
( spl0_87
| ~ spl0_26
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f360,f355,f175,f783]) ).
fof(f360,plain,
( ! [X3,X4] : theorem(or(implies(X3,X3),X4))
| ~ spl0_26
| ~ spl0_49 ),
inference(resolution,[],[f356,f176]) ).
fof(f775,plain,
( spl0_86
| ~ spl0_19
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f359,f355,f118,f773]) ).
fof(f359,plain,
( ! [X2] : theorem(implies(X2,X2))
| ~ spl0_19
| ~ spl0_49 ),
inference(resolution,[],[f356,f119]) ).
fof(f769,plain,
( ~ spl0_85
| spl0_1
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f460,f426,f11,f766]) ).
fof(f460,plain,
( ~ theorem(implies(implies(or(p,q),or(p,r)),implies(q,r)))
| spl0_1
| ~ spl0_60 ),
inference(resolution,[],[f427,f13]) ).
fof(f764,plain,
( ~ spl0_84
| spl0_1
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f366,f363,f11,f761]) ).
fof(f366,plain,
( ~ theorem(not(implies(or(p,q),or(p,r))))
| spl0_1
| ~ spl0_50 ),
inference(resolution,[],[f364,f13]) ).
fof(f670,plain,
( ~ spl0_83
| ~ spl0_29
| spl0_62 ),
inference(avatar_split_clause,[],[f617,f474,f194,f667]) ).
fof(f617,plain,
( ~ theorem(r)
| ~ spl0_29
| spl0_62 ),
inference(resolution,[],[f476,f195]) ).
fof(f665,plain,
( spl0_82
| ~ spl0_47
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f352,f318,f312,f663]) ).
fof(f352,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,implies(X3,X1)))
| ~ theorem(or(X2,implies(X3,X0))) )
| ~ spl0_47
| ~ spl0_48 ),
inference(resolution,[],[f319,f313]) ).
fof(f661,plain,
( spl0_81
| ~ spl0_33
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f351,f312,f211,f659]) ).
fof(f351,plain,
( ! [X50,X51,X49,X52] :
( theorem(or(X49,or(X50,implies(X51,X52))))
| ~ theorem(or(X49,implies(X51,or(X50,X52)))) )
| ~ spl0_33
| ~ spl0_47 ),
inference(resolution,[],[f313,f212]) ).
fof(f657,plain,
( spl0_80
| ~ spl0_46
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f348,f312,f308,f655]) ).
fof(f348,plain,
( ! [X40,X41,X42,X43] :
( theorem(or(X40,implies(X41,implies(X42,X43))))
| ~ theorem(or(X40,implies(X42,implies(X41,X43)))) )
| ~ spl0_46
| ~ spl0_47 ),
inference(resolution,[],[f313,f309]) ).
fof(f653,plain,
( spl0_79
| ~ spl0_36
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f346,f312,f223,f651]) ).
fof(f346,plain,
( ! [X36,X34,X35,X33] :
( theorem(or(X33,implies(implies(X34,X35),implies(X34,X36))))
| ~ theorem(or(X33,implies(X35,X36))) )
| ~ spl0_36
| ~ spl0_47 ),
inference(resolution,[],[f313,f224]) ).
fof(f649,plain,
( spl0_78
| ~ spl0_21
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f345,f312,f126,f647]) ).
fof(f345,plain,
( ! [X31,X29,X32,X30] :
( theorem(or(X29,implies(or(X30,X31),or(X30,X32))))
| ~ theorem(or(X29,implies(X31,X32))) )
| ~ spl0_21
| ~ spl0_47 ),
inference(resolution,[],[f313,f127]) ).
fof(f645,plain,
( spl0_77
| ~ spl0_32
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f341,f312,f207,f643]) ).
fof(f341,plain,
( ! [X18,X19,X16,X17] :
( theorem(or(X16,implies(X17,or(X18,X19))))
| ~ theorem(or(X16,or(X18,implies(X17,X19)))) )
| ~ spl0_32
| ~ spl0_47 ),
inference(resolution,[],[f313,f208]) ).
fof(f641,plain,
( spl0_76
| ~ spl0_35
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f339,f312,f219,f639]) ).
fof(f339,plain,
( ! [X10,X11,X9,X12] :
( theorem(or(X9,or(X10,X11)))
| ~ theorem(or(X9,or(X10,X12)))
| ~ theorem(implies(X12,X11)) )
| ~ spl0_35
| ~ spl0_47 ),
inference(resolution,[],[f313,f220]) ).
fof(f637,plain,
( spl0_75
| ~ spl0_17
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f338,f312,f110,f635]) ).
fof(f338,plain,
( ! [X8,X6,X7,X5] :
( theorem(or(X5,or(X6,or(X7,X8))))
| ~ theorem(or(X5,or(X7,or(X6,X8)))) )
| ~ spl0_17
| ~ spl0_47 ),
inference(resolution,[],[f313,f111]) ).
fof(f621,plain,
( spl0_74
| ~ spl0_42
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f347,f312,f285,f619]) ).
fof(f347,plain,
( ! [X38,X39,X37] :
( theorem(or(X37,implies(X38,not(X39))))
| ~ theorem(or(X37,implies(X39,not(X38)))) )
| ~ spl0_42
| ~ spl0_47 ),
inference(resolution,[],[f313,f286]) ).
fof(f596,plain,
( spl0_73
| ~ spl0_27
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f350,f312,f182,f594]) ).
fof(f350,plain,
( ! [X48,X46,X47] :
( theorem(or(X46,or(X47,not(X48))))
| ~ theorem(or(X46,implies(X48,X47))) )
| ~ spl0_27
| ~ spl0_47 ),
inference(resolution,[],[f313,f183]) ).
fof(f592,plain,
( spl0_72
| ~ spl0_28
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f340,f312,f186,f590]) ).
fof(f340,plain,
( ! [X14,X15,X13] :
( theorem(or(X13,implies(X14,X15)))
| ~ theorem(or(X13,or(X15,not(X14)))) )
| ~ spl0_28
| ~ spl0_47 ),
inference(resolution,[],[f313,f187]) ).
fof(f535,plain,
( ~ spl0_71
| spl0_41
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f456,f422,f272,f532]) ).
fof(f456,plain,
( ~ theorem(or(p,r))
| spl0_41
| ~ spl0_59 ),
inference(resolution,[],[f423,f274]) ).
fof(f509,plain,
( spl0_70
| ~ spl0_7
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f353,f318,f38,f507]) ).
fof(f353,plain,
( ! [X6,X4,X5] :
( ~ theorem(implies(X4,X5))
| theorem(implies(X6,X5))
| ~ theorem(implies(X6,X4)) )
| ~ spl0_7
| ~ spl0_48 ),
inference(resolution,[],[f319,f39]) ).
fof(f505,plain,
( spl0_69
| ~ spl0_25
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f349,f312,f171,f503]) ).
fof(f349,plain,
( ! [X44,X45] :
( theorem(or(X44,not(X45)))
| ~ theorem(or(X44,implies(X45,not(X45)))) )
| ~ spl0_25
| ~ spl0_47 ),
inference(resolution,[],[f313,f172]) ).
fof(f501,plain,
( spl0_68
| ~ spl0_13
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f337,f312,f86,f499]) ).
fof(f337,plain,
( ! [X2,X3,X4] :
( theorem(or(X2,or(X3,X4)))
| ~ theorem(or(X2,or(X4,X3))) )
| ~ spl0_13
| ~ spl0_47 ),
inference(resolution,[],[f313,f87]) ).
fof(f497,plain,
( spl0_67
| ~ spl0_33
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f332,f304,f211,f495]) ).
fof(f332,plain,
( ! [X18,X19,X17] : theorem(or(X17,implies(implies(X18,or(X17,X19)),implies(X18,X19))))
| ~ spl0_33
| ~ spl0_45 ),
inference(resolution,[],[f305,f212]) ).
fof(f493,plain,
( spl0_66
| ~ spl0_8
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f328,f304,f43,f491]) ).
fof(f328,plain,
( ! [X8,X9] : theorem(or(X8,implies(or(or(X8,X9),or(X8,X9)),X9)))
| ~ spl0_8
| ~ spl0_45 ),
inference(resolution,[],[f305,f44]) ).
fof(f489,plain,
( spl0_65
| ~ spl0_35
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f327,f304,f219,f487]) ).
fof(f327,plain,
( ! [X6,X7,X5] :
( theorem(or(X5,implies(or(X5,X6),X7)))
| ~ theorem(implies(X6,X7)) )
| ~ spl0_35
| ~ spl0_45 ),
inference(resolution,[],[f305,f220]) ).
fof(f485,plain,
( spl0_64
| ~ spl0_17
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f326,f304,f110,f483]) ).
fof(f326,plain,
( ! [X2,X3,X4] : theorem(or(X2,implies(or(X3,or(X2,X4)),or(X3,X4))))
| ~ spl0_17
| ~ spl0_45 ),
inference(resolution,[],[f305,f111]) ).
fof(f481,plain,
( spl0_63
| ~ spl0_6
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f324,f300,f34,f479]) ).
fof(f324,plain,
( ! [X2,X0,X1] :
( theorem(implies(X1,implies(X0,X2)))
| ~ theorem(implies(X0,implies(X1,X2))) )
| ~ spl0_6
| ~ spl0_44 ),
inference(forward_demodulation,[],[f323,f35]) ).
fof(f323,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X1,X2)))
| theorem(implies(X1,or(not(X0),X2))) )
| ~ spl0_6
| ~ spl0_44 ),
inference(superposition,[],[f301,f35]) ).
fof(f477,plain,
( ~ spl0_62
| ~ spl0_23
| spl0_41 ),
inference(avatar_split_clause,[],[f316,f272,f159,f474]) ).
fof(f316,plain,
( ~ theorem(implies(q,r))
| ~ spl0_23
| spl0_41 ),
inference(resolution,[],[f274,f160]) ).
fof(f432,plain,
( spl0_61
| ~ spl0_8
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f336,f312,f43,f430]) ).
fof(f336,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) )
| ~ spl0_8
| ~ spl0_47 ),
inference(resolution,[],[f313,f44]) ).
fof(f428,plain,
( spl0_60
| ~ spl0_6
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f298,f289,f34,f426]) ).
fof(f298,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,X2))
| theorem(implies(X0,or(X1,X2))) )
| ~ spl0_6
| ~ spl0_43 ),
inference(forward_demodulation,[],[f297,f35]) ).
fof(f297,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_6
| ~ spl0_43 ),
inference(superposition,[],[f290,f35]) ).
fof(f424,plain,
( spl0_59
| ~ spl0_6
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f296,f289,f34,f422]) ).
fof(f296,plain,
( ! [X2,X0,X1] :
( theorem(or(X2,implies(X0,X1)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_6
| ~ spl0_43 ),
inference(superposition,[],[f290,f35]) ).
fof(f420,plain,
( spl0_58
| ~ spl0_26
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f295,f289,f175,f418]) ).
fof(f295,plain,
( ! [X6,X7,X5] :
( ~ theorem(or(X5,X6))
| theorem(or(or(X7,X6),X5)) )
| ~ spl0_26
| ~ spl0_43 ),
inference(resolution,[],[f290,f176]) ).
fof(f416,plain,
( spl0_57
| ~ spl0_19
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f294,f289,f118,f414]) ).
fof(f294,plain,
( ! [X3,X4] :
( ~ theorem(or(or(X3,X4),X4))
| theorem(or(X3,X4)) )
| ~ spl0_19
| ~ spl0_43 ),
inference(resolution,[],[f290,f119]) ).
fof(f412,plain,
( spl0_56
| ~ spl0_6
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f278,f264,f34,f410]) ).
fof(f278,plain,
( ! [X0,X1] :
( theorem(implies(X0,not(X1)))
| ~ theorem(implies(X1,not(X0))) )
| ~ spl0_6
| ~ spl0_39 ),
inference(superposition,[],[f265,f35]) ).
fof(f405,plain,
( spl0_55
| ~ spl0_27
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f331,f304,f182,f403]) ).
fof(f331,plain,
( ! [X16,X15] : theorem(or(X15,implies(implies(X16,X15),not(X16))))
| ~ spl0_27
| ~ spl0_45 ),
inference(resolution,[],[f305,f183]) ).
fof(f387,plain,
( spl0_54
| ~ spl0_13
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f325,f304,f86,f385]) ).
fof(f325,plain,
( ! [X0,X1] : theorem(or(X0,implies(or(X1,X0),X1)))
| ~ spl0_13
| ~ spl0_45 ),
inference(resolution,[],[f305,f87]) ).
fof(f383,plain,
( spl0_53
| ~ spl0_37
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f321,f300,f237,f381]) ).
fof(f237,plain,
( spl0_37
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f321,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(X1) )
| ~ spl0_37
| ~ spl0_44 ),
inference(resolution,[],[f301,f238]) ).
fof(f238,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f379,plain,
( spl0_52
| ~ spl0_31
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f256,f237,f203,f377]) ).
fof(f256,plain,
( ! [X3,X4,X5] :
( ~ theorem(X3)
| theorem(or(X4,or(X3,X5))) )
| ~ spl0_31
| ~ spl0_37 ),
inference(resolution,[],[f238,f204]) ).
fof(f375,plain,
( ~ spl0_51
| ~ spl0_37
| spl0_41 ),
inference(avatar_split_clause,[],[f315,f272,f237,f372]) ).
fof(f315,plain,
( ~ theorem(p)
| ~ spl0_37
| spl0_41 ),
inference(resolution,[],[f274,f238]) ).
fof(f365,plain,
( spl0_50
| ~ spl0_6
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f257,f237,f34,f363]) ).
fof(f257,plain,
( ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(not(X0)) )
| ~ spl0_6
| ~ spl0_37 ),
inference(superposition,[],[f238,f35]) ).
fof(f357,plain,
( spl0_49
| ~ spl0_11
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f329,f304,f73,f355]) ).
fof(f329,plain,
( ! [X10,X11] : theorem(or(X10,implies(X11,X11)))
| ~ spl0_11
| ~ spl0_45 ),
inference(resolution,[],[f305,f74]) ).
fof(f320,plain,
( spl0_48
| ~ spl0_6
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f249,f219,f34,f318]) ).
fof(f249,plain,
( ! [X2,X0,X1] :
( theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_6
| ~ spl0_35 ),
inference(forward_demodulation,[],[f247,f35]) ).
fof(f247,plain,
( ! [X2,X0,X1] :
( theorem(implies(implies(X0,X1),or(not(X0),X2)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_6
| ~ spl0_35 ),
inference(superposition,[],[f220,f35]) ).
fof(f314,plain,
( spl0_47
| ~ spl0_7
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f246,f219,f38,f312]) ).
fof(f246,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_7
| ~ spl0_35 ),
inference(resolution,[],[f220,f39]) ).
fof(f310,plain,
( spl0_46
| ~ spl0_6
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f234,f207,f34,f308]) ).
fof(f234,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl0_6
| ~ spl0_32 ),
inference(forward_demodulation,[],[f232,f35]) ).
fof(f232,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2))))
| ~ spl0_6
| ~ spl0_32 ),
inference(superposition,[],[f208,f35]) ).
fof(f306,plain,
( spl0_45
| ~ spl0_6
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f230,f203,f34,f304]) ).
fof(f230,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,implies(X0,X2)))
| ~ theorem(implies(X0,or(X1,X2))) )
| ~ spl0_6
| ~ spl0_31 ),
inference(forward_demodulation,[],[f228,f35]) ).
fof(f228,plain,
( ! [X2,X0,X1] :
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_6
| ~ spl0_31 ),
inference(superposition,[],[f204,f35]) ).
fof(f302,plain,
( spl0_44
| ~ spl0_6
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f229,f203,f34,f300]) ).
fof(f229,plain,
( ! [X2,X0,X1] :
( theorem(implies(X0,or(X2,X1)))
| ~ theorem(or(X2,implies(X0,X1))) )
| ~ spl0_6
| ~ spl0_31 ),
inference(forward_demodulation,[],[f227,f35]) ).
fof(f227,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X2,implies(X0,X1)))
| theorem(or(not(X0),or(X2,X1))) )
| ~ spl0_6
| ~ spl0_31 ),
inference(superposition,[],[f204,f35]) ).
fof(f291,plain,
( spl0_43
| ~ spl0_23
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f226,f203,f159,f289]) ).
fof(f226,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_23
| ~ spl0_31 ),
inference(resolution,[],[f204,f160]) ).
fof(f287,plain,
( spl0_42
| ~ spl0_6
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f190,f182,f34,f285]) ).
fof(f190,plain,
( ! [X0,X1] : theorem(implies(implies(X1,not(X0)),implies(X0,not(X1))))
| ~ spl0_6
| ~ spl0_27 ),
inference(superposition,[],[f183,f35]) ).
fof(f275,plain,
( ~ spl0_41
| spl0_1
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f252,f194,f11,f272]) ).
fof(f252,plain,
( ~ theorem(or(p,implies(q,r)))
| spl0_1
| ~ spl0_29 ),
inference(resolution,[],[f195,f13]) ).
fof(f270,plain,
( spl0_40
| ~ spl0_7
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f191,f186,f38,f268]) ).
fof(f268,plain,
( spl0_40
<=> ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(or(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f191,plain,
( ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(or(X1,not(X0))) )
| ~ spl0_7
| ~ spl0_28 ),
inference(resolution,[],[f187,f39]) ).
fof(f266,plain,
( spl0_39
| ~ spl0_6
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f180,f175,f34,f264]) ).
fof(f180,plain,
( ! [X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X1,not(X0))) )
| ~ spl0_6
| ~ spl0_26 ),
inference(superposition,[],[f176,f35]) ).
fof(f261,plain,
( spl0_38
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f166,f118,f34,f259]) ).
fof(f166,plain,
( ! [X0] :
( ~ theorem(implies(X0,not(X0)))
| theorem(not(X0)) )
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f119,f35]) ).
fof(f239,plain,
( spl0_37
| ~ spl0_23
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f179,f175,f159,f237]) ).
fof(f179,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_23
| ~ spl0_26 ),
inference(resolution,[],[f176,f160]) ).
fof(f225,plain,
( spl0_36
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f155,f126,f34,f223]) ).
fof(f155,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2))))
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f153,f35]) ).
fof(f153,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),or(not(X0),X2))))
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f127,f35]) ).
fof(f221,plain,
( spl0_35
| ~ spl0_7
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f152,f126,f38,f219]) ).
fof(f152,plain,
( ! [X2,X0,X1] :
( theorem(implies(or(X0,X1),or(X0,X2)))
| ~ theorem(implies(X1,X2)) )
| ~ spl0_7
| ~ spl0_21 ),
inference(resolution,[],[f127,f39]) ).
fof(f217,plain,
( spl0_34
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f145,f114,f34,f215]) ).
fof(f215,plain,
( spl0_34
<=> ! [X2,X0,X1] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f114,plain,
( spl0_18
<=> ! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f145,plain,
( ! [X2,X0,X1] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2))))
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f143,f35]) ).
fof(f143,plain,
( ! [X2,X0,X1] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,or(not(X0),X2))))
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f115,f35]) ).
fof(f115,plain,
( ! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1))))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f213,plain,
( spl0_33
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f139,f110,f34,f211]) ).
fof(f139,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))))
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f135,f35]) ).
fof(f135,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2))))
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f111,f35]) ).
fof(f209,plain,
( spl0_32
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f138,f110,f34,f207]) ).
fof(f138,plain,
( ! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1))))
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f134,f35]) ).
fof(f134,plain,
( ! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1))))
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f111,f35]) ).
fof(f205,plain,
( spl0_31
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f133,f110,f38,f203]) ).
fof(f133,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) )
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f111,f39]) ).
fof(f200,plain,
( spl0_30
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f106,f98,f34,f198]) ).
fof(f198,plain,
( spl0_30
<=> ! [X0,X1] : axiom(implies(implies(X0,not(X1)),implies(X1,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f98,plain,
( spl0_15
<=> ! [X2,X1] : axiom(implies(or(X2,not(X1)),implies(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f106,plain,
( ! [X0,X1] : axiom(implies(implies(X0,not(X1)),implies(X1,not(X0))))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f99,f35]) ).
fof(f99,plain,
( ! [X2,X1] : axiom(implies(or(X2,not(X1)),implies(X1,X2)))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f196,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f168,f159,f34,f194]) ).
fof(f168,plain,
( ! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f160,f35]) ).
fof(f188,plain,
( spl0_28
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f95,f86,f34,f186]) ).
fof(f95,plain,
( ! [X0,X1] : theorem(implies(or(X1,not(X0)),implies(X0,X1)))
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f87,f35]) ).
fof(f184,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f94,f86,f34,f182]) ).
fof(f94,plain,
( ! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0))))
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f87,f35]) ).
fof(f177,plain,
( spl0_26
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f93,f86,f38,f175]) ).
fof(f93,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) )
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f87,f39]) ).
fof(f173,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f77,f43,f34,f171]) ).
fof(f77,plain,
( ! [X0] : theorem(implies(implies(X0,not(X0)),not(X0)))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f44,f35]) ).
fof(f165,plain,
( spl0_24
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f83,f73,f34,f163]) ).
fof(f83,plain,
( ! [X0,X1] : theorem(implies(X1,implies(X0,X1)))
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f74,f35]) ).
fof(f161,plain,
( spl0_23
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f82,f73,f38,f159]) ).
fof(f82,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f74,f39]) ).
fof(f132,plain,
( spl0_22
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f70,f55,f34,f130]) ).
fof(f130,plain,
( spl0_22
<=> ! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f55,plain,
( spl0_10
<=> ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f70,plain,
( ! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2))))
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f68,f35]) ).
fof(f68,plain,
( ! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),or(not(X0),X2))))
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f56,f35]) ).
fof(f56,plain,
( ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f128,plain,
( spl0_21
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f67,f55,f16,f126]) ).
fof(f16,plain,
( spl0_2
<=> ! [X3] :
( ~ axiom(X3)
| theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f67,plain,
( ! [X2,X0,X1] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f56,f17]) ).
fof(f17,plain,
( ! [X3] :
( ~ axiom(X3)
| theorem(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f124,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f64,f51,f34,f122]) ).
fof(f122,plain,
( spl0_20
<=> ! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f51,plain,
( spl0_9
<=> ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f64,plain,
( ! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2))))
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f60,f35]) ).
fof(f60,plain,
( ! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2))))
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f52,f35]) ).
fof(f52,plain,
( ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f120,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f76,f43,f38,f118]) ).
fof(f76,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f44,f39]) ).
fof(f116,plain,
( spl0_18
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f63,f51,f34,f114]) ).
fof(f63,plain,
( ! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1))))
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f59,f35]) ).
fof(f59,plain,
( ! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1))))
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f52,f35]) ).
fof(f112,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f58,f51,f16,f110]) ).
fof(f58,plain,
( ! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f52,f17]) ).
fof(f104,plain,
( spl0_16
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f48,f34,f30,f102]) ).
fof(f102,plain,
( spl0_16
<=> ! [X4,X3] : axiom(implies(implies(X3,X4),or(X4,not(X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f30,plain,
( spl0_5
<=> ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f48,plain,
( ! [X3,X4] : axiom(implies(implies(X3,X4),or(X4,not(X3))))
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f31,f35]) ).
fof(f31,plain,
( ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f100,plain,
( spl0_15
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f47,f34,f30,f98]) ).
fof(f47,plain,
( ! [X2,X1] : axiom(implies(or(X2,not(X1)),implies(X1,X2)))
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f31,f35]) ).
fof(f92,plain,
( spl0_14
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f46,f34,f20,f90]) ).
fof(f90,plain,
( spl0_14
<=> ! [X0] : axiom(implies(implies(X0,not(X0)),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f20,plain,
( spl0_3
<=> ! [X0] : axiom(implies(or(X0,X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f46,plain,
( ! [X0] : axiom(implies(implies(X0,not(X0)),not(X0)))
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f21,f35]) ).
fof(f21,plain,
( ! [X0] : axiom(implies(or(X0,X0),X0))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f88,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f41,f30,f16,f86]) ).
fof(f41,plain,
( ! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0)))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f31,f17]) ).
fof(f81,plain,
( spl0_12
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f49,f34,f24,f79]) ).
fof(f79,plain,
( spl0_12
<=> ! [X6,X5] : axiom(implies(X6,implies(X5,X6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f24,plain,
( spl0_4
<=> ! [X0,X1] : axiom(implies(X0,or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f49,plain,
( ! [X6,X5] : axiom(implies(X6,implies(X5,X6)))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f25,f35]) ).
fof(f25,plain,
( ! [X0,X1] : axiom(implies(X0,or(X1,X0)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f75,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f28,f24,f16,f73]) ).
fof(f28,plain,
( ! [X0,X1] : theorem(implies(X0,or(X1,X0)))
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f25,f17]) ).
fof(f57,plain,
spl0_10,
inference(avatar_split_clause,[],[f5,f55]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',axiom_1_6) ).
fof(f53,plain,
spl0_9,
inference(avatar_split_clause,[],[f4,f51]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',axiom_1_5) ).
fof(f45,plain,
( spl0_8
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f27,f20,f16,f43]) ).
fof(f27,plain,
( ! [X0] : theorem(implies(or(X0,X0),X0))
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f21,f17]) ).
fof(f40,plain,
spl0_7,
inference(avatar_split_clause,[],[f8,f38]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',rule_2) ).
fof(f36,plain,
spl0_6,
inference(avatar_split_clause,[],[f6,f34]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',implies_definition) ).
fof(f32,plain,
spl0_5,
inference(avatar_split_clause,[],[f3,f30]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',axiom_1_4) ).
fof(f26,plain,
spl0_4,
inference(avatar_split_clause,[],[f2,f24]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',axiom_1_3) ).
fof(f22,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f20]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',axiom_1_2) ).
fof(f18,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f16]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',rule_1) ).
fof(f14,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f9,f11]) ).
fof(f9,axiom,
~ theorem(implies(implies(or(p,q),or(p,r)),or(p,implies(q,r)))),
file('/export/starexec/sandbox/tmp/tmp.8pVTPLIInu/Vampire---4.8_26924',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL230-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 14:42:46 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.17/0.40 % (27030)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (27034)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.40 % (27032)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.40 % (27036)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.17/0.40 % (27035)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.17/0.40 % (27033)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.41 % (27037)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.17/0.41 % (27031)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.41 TRYING [1]
% 0.17/0.41 TRYING [2]
% 0.17/0.41 TRYING [1]
% 0.17/0.41 TRYING [2]
% 0.17/0.41 TRYING [3]
% 0.17/0.41 TRYING [3]
% 0.17/0.42 TRYING [4]
% 0.17/0.42 TRYING [4]
% 0.17/0.46 TRYING [5]
% 0.17/0.46 TRYING [5]
% 2.15/0.72 TRYING [6]
% 2.15/0.74 TRYING [6]
% 7.31/1.50 TRYING [1]
% 7.31/1.50 TRYING [2]
% 7.31/1.51 TRYING [3]
% 7.83/1.52 TRYING [4]
% 8.29/1.58 TRYING [5]
% 10.55/1.90 TRYING [7]
% 11.01/1.99 TRYING [6]
% 13.38/2.33 TRYING [7]
% 29.55/4.65 TRYING [7]
% 56.79/8.56 % (27035)First to succeed.
% 57.06/8.59 TRYING [8]
% 57.06/8.59 % (27035)Refutation found. Thanks to Tanya!
% 57.06/8.59 % SZS status Unsatisfiable for Vampire---4
% 57.06/8.59 % SZS output start Proof for Vampire---4
% See solution above
% 57.06/8.61 % (27035)------------------------------
% 57.06/8.61 % (27035)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 57.06/8.61 % (27035)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 57.06/8.61 % (27035)Termination reason: Refutation
% 57.06/8.61
% 57.06/8.61 % (27035)Memory used [KB]: 71512
% 57.06/8.61 % (27035)Time elapsed: 8.183 s
% 57.06/8.61 % (27035)------------------------------
% 57.06/8.61 % (27035)------------------------------
% 57.06/8.61 % (27030)Success in time 8.255 s
% 57.06/8.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------