TSTP Solution File: LCL215-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL215-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Sun May 5 07:44:32 EDT 2024
% Result : Unsatisfiable 246.77s 35.54s
% Output : Refutation 246.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1089
% Syntax : Number of formulae : 3726 ( 22 unt; 0 def)
% Number of atoms : 12220 ( 1 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 16014 (7520 ~;7414 |; 0 &)
% (1080 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 1084 (1082 usr;1081 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 7406 (7406 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116975,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f25,f29,f33,f39,f43,f48,f52,f57,f62,f68,f73,f77,f82,f87,f94,f104,f115,f119,f127,f137,f141,f145,f153,f161,f165,f173,f182,f186,f190,f194,f219,f223,f232,f237,f241,f251,f256,f262,f270,f277,f281,f288,f298,f302,f312,f316,f320,f324,f359,f363,f367,f419,f444,f448,f452,f476,f480,f484,f488,f524,f528,f533,f537,f541,f592,f625,f660,f664,f668,f708,f712,f742,f746,f750,f776,f780,f784,f788,f837,f841,f845,f849,f909,f913,f917,f921,f925,f929,f936,f940,f944,f948,f952,f1035,f1039,f1044,f1048,f1052,f1056,f1065,f1066,f1067,f1068,f1401,f1708,f1712,f1728,f1805,f1809,f1813,f1817,f1821,f1825,f1829,f1833,f1837,f1841,f1845,f1849,f1853,f1922,f2058,f2063,f2067,f2071,f2075,f2079,f2083,f2087,f2091,f2095,f2099,f2103,f2109,f2113,f2117,f2121,f2125,f2129,f2505,f2552,f2556,f2560,f2564,f2568,f2572,f2576,f2580,f2584,f2588,f2592,f2596,f2600,f2604,f2608,f2612,f2616,f2621,f2625,f2629,f2633,f2637,f2641,f2645,f2649,f2936,f3205,f3209,f3213,f3217,f3221,f3225,f3229,f3233,f3237,f3260,f3264,f3268,f3272,f3764,f3768,f3772,f3776,f3780,f3784,f3788,f3792,f3796,f3800,f3804,f3808,f3812,f3816,f3842,f3846,f3850,f4325,f4329,f4333,f4337,f4341,f4345,f4349,f4353,f4357,f4361,f4365,f4369,f4423,f4427,f4431,f4435,f4439,f4443,f4447,f4451,f4519,f5124,f5128,f5132,f5154,f5158,f5162,f5166,f5170,f5174,f5178,f5182,f5186,f5190,f5194,f5198,f5202,f5206,f5210,f5214,f5218,f5222,f5226,f5230,f5234,f5238,f5242,f5246,f5250,f5254,f5258,f5262,f5266,f5270,f5274,f5278,f5302,f5306,f5310,f5314,f6018,f6334,f6654,f6684,f6688,f6692,f6696,f6700,f6704,f6708,f6712,f6716,f6720,f6724,f6728,f6732,f6736,f6740,f6744,f6748,f6752,f6756,f6760,f6764,f6768,f6772,f6776,f6780,f6784,f6788,f6792,f6962,f7739,f7743,f7747,f7810,f7811,f7812,f7813,f7814,f7815,f7816,f7817,f7818,f7819,f7820,f7821,f7822,f7823,f7824,f7825,f7826,f7827,f7828,f7829,f7830,f7831,f7832,f7833,f7834,f7835,f7836,f7837,f7838,f7839,f7840,f7841,f7842,f7843,f7844,f7845,f7846,f7847,f7848,f7849,f7850,f7851,f7852,f7853,f7854,f7855,f7856,f7857,f7858,f7859,f7860,f7861,f7862,f7863,f7864,f7865,f7866,f7867,f7868,f7869,f7870,f7871,f12304,f12324,f12325,f12326,f12327,f12328,f12329,f12330,f12331,f12332,f12333,f12334,f12335,f12336,f12337,f12338,f12339,f12340,f13182,f19265,f19269,f19273,f19277,f19331,f19335,f19339,f19343,f19347,f19351,f19355,f20367,f20371,f20376,f20380,f20384,f20388,f20392,f20396,f20400,f20404,f20408,f20412,f20416,f21059,f21214,f21218,f21222,f21226,f21230,f21234,f21238,f21760,f21764,f21768,f21773,f21777,f21781,f21785,f21789,f21793,f21797,f21801,f21886,f22882,f22886,f22890,f22894,f22898,f22902,f22906,f22910,f23293,f23668,f23672,f23676,f23680,f23984,f24203,f24207,f24211,f24215,f24661,f24665,f24669,f24673,f24932,f24936,f25104,f25108,f25213,f25318,f25322,f25326,f25330,f25334,f25338,f25342,f25346,f25805,f26290,f26294,f26298,f26302,f26306,f26310,f26314,f26318,f26322,f26326,f26330,f26334,f26338,f26342,f26346,f26350,f26355,f26359,f26363,f26367,f26371,f26375,f26379,f26383,f26387,f26451,f27143,f27982,f27986,f27990,f27994,f27998,f28002,f28006,f28011,f28015,f28019,f28023,f28027,f28031,f28035,f28039,f28043,f28047,f28051,f28059,f28063,f28067,f28071,f28075,f28079,f28083,f28087,f28091,f28095,f28100,f28104,f28108,f28112,f28116,f28120,f28124,f28128,f29002,f29759,f31034,f31112,f31116,f31120,f31124,f31128,f31132,f31136,f31140,f31144,f31148,f31152,f31156,f31160,f31164,f31168,f31172,f31176,f31180,f31184,f31188,f31192,f31196,f31200,f31204,f31208,f31212,f31216,f31220,f31224,f31228,f31232,f31236,f31240,f31244,f31248,f31252,f31256,f31260,f31264,f31268,f31272,f31276,f31364,f31368,f31372,f31376,f31537,f31691,f31695,f31699,f31703,f31707,f31711,f31715,f31719,f31723,f31727,f31731,f31735,f31739,f31743,f31747,f31751,f31755,f31759,f31763,f31767,f32330,f35670,f37295,f37299,f37303,f37307,f37311,f37316,f37320,f37324,f37328,f37332,f37336,f37340,f37344,f37348,f37352,f37356,f37360,f37364,f37368,f37372,f37376,f37380,f37384,f37388,f37392,f37396,f37401,f37405,f37409,f37413,f37417,f37421,f37425,f37429,f37433,f37437,f37441,f37448,f37452,f37456,f37460,f37464,f37468,f37472,f37476,f37480,f37484,f37489,f37493,f37497,f37501,f37505,f37509,f37513,f37517,f37521,f37525,f37529,f37534,f37538,f37542,f37546,f37550,f37554,f37558,f37562,f37566,f37570,f37574,f37578,f37582,f37586,f37590,f37594,f37598,f37602,f37606,f37610,f37614,f37697,f37701,f37705,f37709,f37713,f37717,f37721,f38907,f40986,f41858,f43522,f44930,f46114,f46119,f46123,f46127,f46131,f46135,f46139,f46143,f46147,f46151,f46155,f46171,f46175,f46179,f46183,f46187,f46191,f46195,f46199,f46203,f46207,f46222,f46226,f46230,f46234,f46238,f46242,f46246,f46250,f46254,f46258,f46314,f46318,f46322,f46326,f46330,f46334,f46338,f46342,f46346,f46350,f46354,f46358,f46362,f46366,f46370,f46374,f46378,f46382,f46386,f46390,f46394,f46517,f46521,f46525,f46529,f46533,f46537,f46541,f46545,f46549,f46553,f46569,f46573,f46577,f46581,f46585,f46589,f46593,f46597,f46601,f46605,f46621,f46625,f46629,f46633,f46637,f46641,f46645,f46649,f46653,f46657,f46806,f46810,f46814,f46818,f46822,f46826,f46830,f46834,f46838,f46842,f46851,f46855,f46859,f46863,f46867,f46871,f46875,f46879,f46883,f46887,f46987,f46991,f46995,f46999,f47003,f47007,f47011,f47015,f47019,f47023,f47027,f47031,f47035,f47039,f47043,f47047,f47051,f47055,f47059,f47063,f47067,f47073,f47077,f47081,f47085,f47940,f48798,f49706,f50843,f51728,f52691,f53641,f54459,f56127,f57033,f59877,f60937,f60942,f60946,f60950,f60954,f60958,f60962,f60966,f60970,f60974,f60978,f60982,f60991,f60995,f60999,f61003,f61007,f61011,f61015,f61019,f61023,f61027,f61031,f61035,f61039,f61043,f61047,f61051,f61055,f61059,f61063,f61067,f61071,f61075,f61079,f61083,f61087,f61091,f61095,f61099,f61103,f61107,f61111,f61115,f61119,f61123,f61127,f61131,f61135,f61139,f61143,f61147,f61151,f61155,f61159,f61163,f61167,f61171,f61175,f61179,f61183,f61187,f61191,f61195,f61199,f61203,f61207,f61211,f61215,f61219,f61223,f61227,f61231,f61235,f61239,f61243,f61247,f61251,f61255,f61259,f61263,f61267,f61271,f61275,f61279,f61283,f61287,f61291,f61295,f61299,f61303,f61307,f61311,f61315,f61319,f61323,f61327,f61331,f61335,f61339,f61343,f61347,f61351,f61355,f61359,f61363,f61367,f61371,f61375,f61379,f61383,f61387,f61391,f61395,f61399,f61403,f61407,f61411,f61415,f61419,f61423,f61427,f61431,f61435,f61439,f61443,f61447,f61451,f61455,f61459,f61463,f61467,f61471,f61475,f61479,f61483,f61487,f61491,f61495,f61499,f61503,f61507,f61634,f63731,f65658,f67164,f69183,f71095,f73090,f75609,f76833,f78167,f80207,f81488,f83227,f84801,f84805,f84809,f84813,f84817,f84821,f84825,f84829,f84833,f84837,f84841,f84845,f84849,f84853,f84857,f84861,f84865,f84869,f84873,f84877,f84881,f84885,f84889,f84893,f84897,f84901,f84905,f84909,f84913,f84917,f84921,f84925,f84929,f84933,f84937,f84941,f84945,f84949,f84953,f84957,f84961,f84965,f84969,f84973,f84977,f84981,f84985,f84989,f84993,f84997,f85001,f85005,f85009,f85013,f85017,f85021,f85169,f85173,f85177,f85181,f85185,f85189,f85193,f85197,f85201,f85205,f85209,f85213,f85217,f85221,f85225,f85229,f85233,f85237,f85241,f85245,f85249,f85253,f85257,f85261,f85265,f85269,f85273,f85277,f85281,f85285,f85289,f85293,f85478,f85482,f85486,f85490,f85494,f85498,f85502,f85506,f85510,f85514,f85518,f85522,f85526,f85530,f85534,f85538,f85542,f85546,f85550,f85554,f85558,f85565,f85569,f85573,f85577,f85581,f85585,f85589,f85593,f85597,f85601,f85605,f85609,f85613,f85617,f85621,f85625,f85629,f85633,f85637,f85641,f85645,f85652,f85656,f85660,f85664,f85668,f85672,f85676,f85680,f85684,f85688,f85699,f85703,f85707,f85711,f85715,f85719,f85723,f85727,f85731,f85735,f85758,f85762,f85766,f85770,f85774,f85778,f85782,f85786,f85790,f85794,f85798,f85802,f85806,f85810,f85814,f85818,f85822,f85826,f85830,f85834,f85838,f85842,f85846,f85850,f85854,f85858,f85862,f85866,f85870,f85874,f85878,f85882,f85887,f85891,f95212,f102264,f107938,f111581,f115271,f116974]) ).
fof(f116974,plain,
( ~ spl0_26
| spl0_1080 ),
inference(avatar_contradiction_clause,[],[f116959]) ).
fof(f116959,plain,
( $false
| ~ spl0_26
| spl0_1080 ),
inference(resolution,[],[f115270,f164]) ).
fof(f164,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl0_26
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f115270,plain,
( ~ theorem(or(q,or(not(or(p,q)),p)))
| spl0_1080 ),
inference(avatar_component_clause,[],[f115268]) ).
fof(f115268,plain,
( spl0_1080
<=> theorem(or(q,or(not(or(p,q)),p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1080])]) ).
fof(f115271,plain,
( ~ spl0_1080
| spl0_1
| ~ spl0_1029 ),
inference(avatar_split_clause,[],[f111601,f85678,f18,f115268]) ).
fof(f18,plain,
( spl0_1
<=> theorem(or(not(or(not(p),q)),or(not(or(p,q)),q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f85678,plain,
( spl0_1029
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(not(or(not(X2),X0)),or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1029])]) ).
fof(f111601,plain,
( ~ theorem(or(q,or(not(or(p,q)),p)))
| spl0_1
| ~ spl0_1029 ),
inference(resolution,[],[f85679,f20]) ).
fof(f20,plain,
( ~ theorem(or(not(or(not(p),q)),or(not(or(p,q)),q)))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f85679,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X2),X0)),or(X1,X0)))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_1029 ),
inference(avatar_component_clause,[],[f85678]) ).
fof(f111581,plain,
( ~ spl0_1079
| spl0_1
| ~ spl0_1022 ),
inference(avatar_split_clause,[],[f110388,f85650,f18,f111578]) ).
fof(f111578,plain,
( spl0_1079
<=> theorem(not(not(or(not(or(p,q)),p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1079])]) ).
fof(f85650,plain,
( spl0_1022
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(not(or(not(X1),X2)),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1022])]) ).
fof(f110388,plain,
( ~ theorem(not(not(or(not(or(p,q)),p))))
| spl0_1
| ~ spl0_1022 ),
inference(resolution,[],[f85651,f20]) ).
fof(f85651,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X1),X2)),or(X0,X2)))
| ~ theorem(not(not(or(X0,X1)))) )
| ~ spl0_1022 ),
inference(avatar_component_clause,[],[f85650]) ).
fof(f107938,plain,
( spl0_1078
| ~ spl0_182
| ~ spl0_759 ),
inference(avatar_split_clause,[],[f105476,f61029,f3774,f107936]) ).
fof(f107936,plain,
( spl0_1078
<=> ! [X0,X1] : ~ theorem(not(or(not(X0),or(X1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1078])]) ).
fof(f3774,plain,
( spl0_182
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f61029,plain,
( spl0_759
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(X1),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_759])]) ).
fof(f105476,plain,
( ! [X0,X1] : ~ theorem(not(or(not(X0),or(X1,X0))))
| ~ spl0_182
| ~ spl0_759 ),
inference(resolution,[],[f61030,f3775]) ).
fof(f3775,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| ~ theorem(not(X0)) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f3774]) ).
fof(f61030,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(X1),or(X2,X1))))
| ~ spl0_759 ),
inference(avatar_component_clause,[],[f61029]) ).
fof(f102264,plain,
( spl0_1077
| ~ spl0_85
| ~ spl0_710 ),
inference(avatar_split_clause,[],[f59211,f47021,f907,f102262]) ).
fof(f102262,plain,
( spl0_1077
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1077])]) ).
fof(f907,plain,
( spl0_85
<=> ! [X0,X1] : theorem(or(X0,or(not(X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f47021,plain,
( spl0_710
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X3,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f59211,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X0)))))
| ~ spl0_85
| ~ spl0_710 ),
inference(resolution,[],[f47022,f908]) ).
fof(f908,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f47022,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X3,X3)))
| theorem(or(X0,or(X1,or(X2,X3)))) )
| ~ spl0_710 ),
inference(avatar_component_clause,[],[f47021]) ).
fof(f95212,plain,
( spl0_1076
| ~ spl0_182
| ~ spl0_733 ),
inference(avatar_split_clause,[],[f93077,f54457,f3774,f95210]) ).
fof(f95210,plain,
( spl0_1076
<=> ! [X0,X1] : ~ theorem(not(or(not(X0),or(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1076])]) ).
fof(f54457,plain,
( spl0_733
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(X1),or(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).
fof(f93077,plain,
( ! [X0,X1] : ~ theorem(not(or(not(X0),or(X0,X1))))
| ~ spl0_182
| ~ spl0_733 ),
inference(resolution,[],[f54458,f3775]) ).
fof(f54458,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(X1),or(X1,X2))))
| ~ spl0_733 ),
inference(avatar_component_clause,[],[f54457]) ).
fof(f85891,plain,
( spl0_1075
| ~ spl0_95
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f25009,f24930,f946,f85889]) ).
fof(f85889,plain,
( spl0_1075
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(or(X1,X2)),X3)),or(X4,X3))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1075])]) ).
fof(f946,plain,
( spl0_95
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f24930,plain,
( spl0_359
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,or(not(or(not(X1),X2)),or(X3,X2))),or(X3,X1)))
| theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f25009,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(not(or(not(or(X1,X2)),X3)),or(X4,X3))))
| ~ theorem(X1) )
| ~ spl0_95
| ~ spl0_359 ),
inference(resolution,[],[f24931,f947]) ).
fof(f947,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f24931,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(not(X1),X2)),or(X3,X2))),or(X3,X1)))
| theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2)))) )
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f24930]) ).
fof(f85887,plain,
( spl0_1074
| ~ spl0_76
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f22849,f21799,f748,f85885]) ).
fof(f85885,plain,
( spl0_1074
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(or(X2,not(X2))),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1074])]) ).
fof(f748,plain,
( spl0_76
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f21799,plain,
( spl0_335
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(or(not(or(not(X2),X0)),X1),X2))
| theorem(or(not(or(not(X2),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f22849,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(or(X2,not(X2))),X0)),X1)) )
| ~ spl0_76
| ~ spl0_335 ),
inference(resolution,[],[f21800,f749]) ).
fof(f749,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f21800,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(not(X2),X0)),X1),X2))
| ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(X2),X0)),X1)) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f21799]) ).
fof(f85882,plain,
( spl0_1073
| ~ spl0_23
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f22827,f21799,f143,f85880]) ).
fof(f85880,plain,
( spl0_1073
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(or(not(X2),X2)),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1073])]) ).
fof(f143,plain,
( spl0_23
<=> ! [X0,X1] : theorem(or(X0,or(not(X1),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f22827,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(or(not(X2),X2)),X0)),X1)) )
| ~ spl0_23
| ~ spl0_335 ),
inference(resolution,[],[f21800,f144]) ).
fof(f144,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f85878,plain,
( spl0_1072
| ~ spl0_10
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f22573,f21791,f60,f85876]) ).
fof(f85876,plain,
( spl0_1072
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X2)))
| ~ theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1072])]) ).
fof(f60,plain,
( spl0_10
<=> ! [X0] : theorem(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f21791,plain,
( spl0_333
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(not(or(not(X2),X3)),X4)))
| ~ theorem(or(not(or(X1,X3)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f22573,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X2)))
| ~ theorem(or(X0,or(X2,X1))) )
| ~ spl0_10
| ~ spl0_333 ),
inference(resolution,[],[f21792,f61]) ).
fof(f61,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f21792,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(or(X1,X3)),X4))
| theorem(or(X0,or(not(or(not(X2),X3)),X4)))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f21791]) ).
fof(f85874,plain,
( spl0_1071
| ~ spl0_7
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f22435,f21787,f46,f85872]) ).
fof(f85872,plain,
( spl0_1071
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1071])]) ).
fof(f46,plain,
( spl0_7
<=> ! [X0,X1] : theorem(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f21787,plain,
( spl0_332
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(not(or(not(X2),X4)),or(X1,X4))))
| ~ theorem(or(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f22435,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_7
| ~ spl0_332 ),
inference(resolution,[],[f21788,f47]) ).
fof(f47,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f21788,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(not(or(not(X2),X4)),or(X1,X4))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f21787]) ).
fof(f85870,plain,
( spl0_1070
| ~ spl0_10
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f22011,f21771,f60,f85868]) ).
fof(f85868,plain,
( spl0_1070
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),X1)))
| ~ theorem(or(X0,or(not(X2),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1070])]) ).
fof(f21771,plain,
( spl0_328
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(not(or(X3,X1)),X4)))
| ~ theorem(or(not(or(X3,X2)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f22011,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),X1)))
| ~ theorem(or(X0,or(not(X2),X1))) )
| ~ spl0_10
| ~ spl0_328 ),
inference(resolution,[],[f21772,f61]) ).
fof(f21772,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(or(X3,X2)),X4))
| theorem(or(X0,or(not(or(X3,X1)),X4)))
| ~ theorem(or(X0,or(not(X1),X2))) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f21771]) ).
fof(f85866,plain,
( spl0_1069
| ~ spl0_75
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f21888,f21766,f744,f85864]) ).
fof(f85864,plain,
( spl0_1069
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1069])]) ).
fof(f744,plain,
( spl0_75
<=> ! [X0,X1] : theorem(or(not(X0),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f21766,plain,
( spl0_327
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(X3,or(not(or(X4,X1)),or(X4,X2))))
| ~ theorem(or(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f21888,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,not(X2))) )
| ~ spl0_75
| ~ spl0_327 ),
inference(resolution,[],[f21767,f745]) ).
fof(f745,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f21767,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(X3,or(not(or(X4,X1)),or(X4,X2))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f21766]) ).
fof(f85862,plain,
( spl0_1068
| ~ spl0_95
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f21396,f21212,f946,f85860]) ).
fof(f85860,plain,
( spl0_1068
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,or(X3,X4))))),X1)))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1068])]) ).
fof(f21212,plain,
( spl0_318
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(X1,not(X2))),X1)),X2))
| theorem(or(X0,or(not(or(X1,not(X2))),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f21396,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(not(or(X1,not(or(X2,or(X3,X4))))),X1)))
| ~ theorem(X3) )
| ~ spl0_95
| ~ spl0_318 ),
inference(resolution,[],[f21213,f947]) ).
fof(f21213,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(X1,not(X2))),X1)),X2))
| theorem(or(X0,or(not(or(X1,not(X2))),X1))) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f21212]) ).
fof(f85858,plain,
( spl0_1067
| ~ spl0_11
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f21069,f20402,f66,f85856]) ).
fof(f85856,plain,
( spl0_1067
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1067])]) ).
fof(f66,plain,
( spl0_11
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f20402,plain,
( spl0_313
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(not(or(not(X2),X4)),or(X1,X4))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f21069,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X1,X3)) )
| ~ spl0_11
| ~ spl0_313 ),
inference(resolution,[],[f20403,f67]) ).
fof(f67,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f20403,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(not(or(not(X2),X4)),or(X1,X4))))
| ~ theorem(X0) )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f20402]) ).
fof(f85854,plain,
( spl0_1066
| ~ spl0_26
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f20848,f20386,f163,f85852]) ).
fof(f85852,plain,
( spl0_1066
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,or(X2,not(X3)))),or(X1,X2))))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1066])]) ).
fof(f20386,plain,
( spl0_309
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(X3,or(not(or(X4,X1)),or(X4,X2))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f20848,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(X2,not(X3)))),or(X1,X2))))
| ~ theorem(X3) )
| ~ spl0_26
| ~ spl0_309 ),
inference(resolution,[],[f20387,f164]) ).
fof(f20387,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(X3,or(not(or(X4,X1)),or(X4,X2))))
| ~ theorem(X0) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f20386]) ).
fof(f85850,plain,
( spl0_1065
| ~ spl0_11
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f20800,f20386,f66,f85848]) ).
fof(f85848,plain,
( spl0_1065
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X3,not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1065])]) ).
fof(f20800,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X3,not(X2))) )
| ~ spl0_11
| ~ spl0_309 ),
inference(resolution,[],[f20387,f67]) ).
fof(f85846,plain,
( spl0_1064
| ~ spl0_84
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f19030,f6770,f847,f85844]) ).
fof(f85844,plain,
( spl0_1064
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(not(or(X0,not(X1)))),X2)),or(X0,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1064])]) ).
fof(f847,plain,
( spl0_84
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f6770,plain,
( spl0_281
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(not(or(not(X2),X3)),or(X1,X3)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f19030,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(not(or(X0,not(X1)))),X2)),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_84
| ~ spl0_281 ),
inference(resolution,[],[f6771,f848]) ).
fof(f848,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f6771,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(not(or(not(X2),X3)),or(X1,X3)))
| ~ theorem(X0) )
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f6770]) ).
fof(f85842,plain,
( spl0_1063
| ~ spl0_577
| ~ spl0_730 ),
inference(avatar_split_clause,[],[f85748,f51726,f37576,f85840]) ).
fof(f85840,plain,
( spl0_1063
<=> ! [X0] : ~ theorem(not(not(not(or(not(X0),X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1063])]) ).
fof(f37576,plain,
( spl0_577
<=> ! [X0] : theorem(not(or(not(or(not(X0),X0)),not(or(not(X0),X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f51726,plain,
( spl0_730
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(not(not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).
fof(f85748,plain,
( ! [X0] : ~ theorem(not(not(not(or(not(X0),X0)))))
| ~ spl0_577
| ~ spl0_730 ),
inference(resolution,[],[f51727,f37577]) ).
fof(f37577,plain,
( ! [X0] : theorem(not(or(not(or(not(X0),X0)),not(or(not(X0),X0)))))
| ~ spl0_577 ),
inference(avatar_component_clause,[],[f37576]) ).
fof(f51727,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(not(not(X1))) )
| ~ spl0_730 ),
inference(avatar_component_clause,[],[f51726]) ).
fof(f85838,plain,
( spl0_1062
| ~ spl0_26
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f18997,f6770,f163,f85836]) ).
fof(f85836,plain,
( spl0_1062
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X0,not(X2))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1062])]) ).
fof(f18997,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X0,not(X2))),X1)))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_281 ),
inference(resolution,[],[f6771,f164]) ).
fof(f85834,plain,
( spl0_1061
| ~ spl0_104
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f18947,f6770,f1706,f85832]) ).
fof(f85832,plain,
( spl0_1061
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,X2)))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1061])]) ).
fof(f1706,plain,
( spl0_104
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f18947,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,X2)))
| ~ theorem(or(X3,X1)) )
| ~ spl0_104
| ~ spl0_281 ),
inference(resolution,[],[f6771,f1707]) ).
fof(f1707,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f85830,plain,
( spl0_1060
| ~ spl0_40
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f18841,f6766,f268,f85828]) ).
fof(f85828,plain,
( spl0_1060
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(not(not(X1))),X2))),or(X0,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1060])]) ).
fof(f268,plain,
( spl0_40
<=> ! [X0] : theorem(or(X0,not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f6766,plain,
( spl0_280
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,or(not(X1),X3))),or(X2,X3)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f18841,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(not(not(X1))),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_280 ),
inference(resolution,[],[f6767,f269]) ).
fof(f269,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f6767,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,or(not(X1),X3))),or(X2,X3)))
| ~ theorem(X0) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f6766]) ).
fof(f85826,plain,
( spl0_1059
| ~ spl0_10
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f18780,f6766,f60,f85824]) ).
fof(f85824,plain,
( spl0_1059
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(or(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1059])]) ).
fof(f18780,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(or(X1,X1)) )
| ~ spl0_10
| ~ spl0_280 ),
inference(resolution,[],[f6767,f61]) ).
fof(f85822,plain,
( spl0_1058
| ~ spl0_75
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f18778,f6766,f744,f85820]) ).
fof(f85820,plain,
( spl0_1058
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(not(or(X1,X2)),X3))),or(X0,X3)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1058])]) ).
fof(f18778,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(not(or(X1,X2)),X3))),or(X0,X3)))
| ~ theorem(X1) )
| ~ spl0_75
| ~ spl0_280 ),
inference(resolution,[],[f6767,f745]) ).
fof(f85818,plain,
( spl0_1057
| ~ spl0_7
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f18777,f6766,f46,f85816]) ).
fof(f85816,plain,
( spl0_1057
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(not(or(X1,X2)),X3))),or(X0,X3)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1057])]) ).
fof(f18777,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(not(or(X1,X2)),X3))),or(X0,X3)))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_280 ),
inference(resolution,[],[f6767,f47]) ).
fof(f85814,plain,
( spl0_1056
| ~ spl0_84
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f18754,f6758,f847,f85812]) ).
fof(f85812,plain,
( spl0_1056
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,not(or(not(X1),not(X2))))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1056])]) ).
fof(f6758,plain,
( spl0_278
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X3,X2)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f18754,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,not(or(not(X1),not(X2))))))
| ~ theorem(X2) )
| ~ spl0_84
| ~ spl0_278 ),
inference(resolution,[],[f6759,f848]) ).
fof(f6759,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X3,X2)))
| ~ theorem(X0) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f6758]) ).
fof(f85810,plain,
( spl0_1055
| ~ spl0_25
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f18584,f6754,f159,f85808]) ).
fof(f85808,plain,
( spl0_1055
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,not(or(X0,X3))),or(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1055])]) ).
fof(f159,plain,
( spl0_25
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f6754,plain,
( spl0_277
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(not(X4),X3))
| ~ theorem(or(or(X2,X4),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f18584,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,not(or(X0,X3))),or(X3,X1))) )
| ~ spl0_25
| ~ spl0_277 ),
inference(resolution,[],[f6755,f160]) ).
fof(f160,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f6755,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(or(X2,X4),X1))
| ~ theorem(or(not(X4),X3))
| theorem(or(or(X0,X1),or(X2,X3))) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f6754]) ).
fof(f85806,plain,
( spl0_1054
| ~ spl0_46
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f18556,f6754,f300,f85804]) ).
fof(f85804,plain,
( spl0_1054
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X3),or(not(or(X0,X3)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1054])]) ).
fof(f300,plain,
( spl0_46
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f18556,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X3),or(not(or(X0,X3)),X1))) )
| ~ spl0_46
| ~ spl0_277 ),
inference(resolution,[],[f6755,f301]) ).
fof(f301,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f85802,plain,
( spl0_1053
| ~ spl0_40
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f18483,f6750,f268,f85800]) ).
fof(f85800,plain,
( spl0_1053
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X0,X1)),not(not(X2)))))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1053])]) ).
fof(f6750,plain,
( spl0_276
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X0,X1)),X2)))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(not(X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f18483,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X0,X1)),not(not(X2)))))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_40
| ~ spl0_276 ),
inference(resolution,[],[f6751,f269]) ).
fof(f6751,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| theorem(or(X0,or(not(or(X0,X1)),X2)))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f6750]) ).
fof(f85798,plain,
( spl0_1052
| ~ spl0_578
| ~ spl0_730 ),
inference(avatar_split_clause,[],[f85747,f51726,f37580,f85796]) ).
fof(f85796,plain,
( spl0_1052
<=> ! [X0] : ~ theorem(not(not(not(or(X0,not(X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1052])]) ).
fof(f37580,plain,
( spl0_578
<=> ! [X0] : theorem(not(or(not(or(X0,not(X0))),not(or(X0,not(X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f85747,plain,
( ! [X0] : ~ theorem(not(not(not(or(X0,not(X0))))))
| ~ spl0_578
| ~ spl0_730 ),
inference(resolution,[],[f51727,f37581]) ).
fof(f37581,plain,
( ! [X0] : theorem(not(or(not(or(X0,not(X0))),not(or(X0,not(X0))))))
| ~ spl0_578 ),
inference(avatar_component_clause,[],[f37580]) ).
fof(f85794,plain,
( spl0_1051
| ~ spl0_10
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f18422,f6750,f60,f85792]) ).
fof(f85792,plain,
( spl0_1051
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X0,X1)),X2)))
| ~ theorem(or(not(X1),or(X2,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1051])]) ).
fof(f18422,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X0,X1)),X2)))
| ~ theorem(or(not(X1),or(X2,X2))) )
| ~ spl0_10
| ~ spl0_276 ),
inference(resolution,[],[f6751,f61]) ).
fof(f85790,plain,
( spl0_1050
| ~ spl0_75
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f18420,f6750,f744,f85788]) ).
fof(f85788,plain,
( spl0_1050
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X0,X1)),or(X2,X3))))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1050])]) ).
fof(f18420,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X0,X1)),or(X2,X3))))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_75
| ~ spl0_276 ),
inference(resolution,[],[f6751,f745]) ).
fof(f85786,plain,
( spl0_1049
| ~ spl0_7
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f18419,f6750,f46,f85784]) ).
fof(f85784,plain,
( spl0_1049
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X0,X1)),or(X2,X3))))
| ~ theorem(or(not(X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1049])]) ).
fof(f18419,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X0,X1)),or(X2,X3))))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_7
| ~ spl0_276 ),
inference(resolution,[],[f6751,f47]) ).
fof(f85782,plain,
( spl0_1048
| ~ spl0_78
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f10478,f3262,f778,f85780]) ).
fof(f85780,plain,
( spl0_1048
<=> ! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(or(not(X1),not(or(not(X0),X1))))
| ~ theorem(or(not(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1048])]) ).
fof(f778,plain,
( spl0_78
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f3262,plain,
( spl0_176
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X1,not(or(not(X2),X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f10478,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(or(not(X1),not(or(not(X0),X1))))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_78
| ~ spl0_176 ),
inference(resolution,[],[f3263,f779]) ).
fof(f779,plain,
( ! [X0] :
( ~ theorem(or(not(X0),not(X0)))
| ~ theorem(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f3263,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,not(or(not(X2),X0))))
| ~ theorem(X2)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f3262]) ).
fof(f85778,plain,
( spl0_1047
| ~ spl0_40
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f7630,f6730,f268,f85776]) ).
fof(f85776,plain,
( spl0_1047
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,not(not(X2)))))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1047])]) ).
fof(f6730,plain,
( spl0_271
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(not(X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f7630,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,not(not(X2)))))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_40
| ~ spl0_271 ),
inference(resolution,[],[f6731,f269]) ).
fof(f6731,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f6730]) ).
fof(f85774,plain,
( spl0_1046
| ~ spl0_10
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f7572,f6730,f60,f85772]) ).
fof(f85772,plain,
( spl0_1046
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),or(X2,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1046])]) ).
fof(f7572,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),or(X2,X2))) )
| ~ spl0_10
| ~ spl0_271 ),
inference(resolution,[],[f6731,f61]) ).
fof(f85770,plain,
( spl0_1045
| ~ spl0_75
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f7570,f6730,f744,f85768]) ).
fof(f85768,plain,
( spl0_1045
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),or(X0,or(X2,X3))))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1045])]) ).
fof(f7570,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,or(X2,X3))))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_75
| ~ spl0_271 ),
inference(resolution,[],[f6731,f745]) ).
fof(f85766,plain,
( spl0_1044
| ~ spl0_7
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f7569,f6730,f46,f85764]) ).
fof(f85764,plain,
( spl0_1044
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),or(X0,or(X2,X3))))
| ~ theorem(or(not(X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1044])]) ).
fof(f7569,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,or(X2,X3))))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_7
| ~ spl0_271 ),
inference(resolution,[],[f6731,f47]) ).
fof(f85762,plain,
( spl0_1043
| ~ spl0_84
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f7362,f6706,f847,f85760]) ).
fof(f85760,plain,
( spl0_1043
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,not(or(not(X3),X0))))))
| ~ theorem(or(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1043])]) ).
fof(f6706,plain,
( spl0_265
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(X4,X2))))
| ~ theorem(or(X4,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f7362,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,not(or(not(X3),X0))))))
| ~ theorem(or(X2,X3)) )
| ~ spl0_84
| ~ spl0_265 ),
inference(resolution,[],[f6707,f848]) ).
fof(f6707,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(X4,X2))))
| ~ theorem(or(X4,X1)) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f6706]) ).
fof(f85758,plain,
( spl0_1042
| ~ spl0_11
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f7291,f6706,f66,f85756]) ).
fof(f85756,plain,
( spl0_1042
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,not(X1))),or(X2,or(X3,X0))))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1042])]) ).
fof(f7291,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,not(X1))),or(X2,or(X3,X0))))
| ~ theorem(or(X3,X1)) )
| ~ spl0_11
| ~ spl0_265 ),
inference(resolution,[],[f6707,f67]) ).
fof(f85735,plain,
( spl0_1041
| ~ spl0_81
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f7209,f6702,f835,f85733]) ).
fof(f85733,plain,
( spl0_1041
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,or(not(X2),X3))),X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1041])]) ).
fof(f835,plain,
( spl0_81
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f6702,plain,
( spl0_264
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,or(not(X2),X3))))
| theorem(or(X0,or(X4,or(X1,X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f7209,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,or(not(X2),X3))),X3))))
| ~ theorem(X2) )
| ~ spl0_81
| ~ spl0_264 ),
inference(resolution,[],[f6703,f836]) ).
fof(f836,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f6703,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,or(not(X2),X3))))
| theorem(or(X0,or(X4,or(X1,X3))))
| ~ theorem(X2) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f6702]) ).
fof(f85731,plain,
( spl0_1040
| ~ spl0_26
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f7204,f6702,f163,f85729]) ).
fof(f85729,plain,
( spl0_1040
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(or(not(X2),X3),X0)),X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1040])]) ).
fof(f7204,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(or(not(X2),X3),X0)),X3))))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_264 ),
inference(resolution,[],[f6703,f164]) ).
fof(f85727,plain,
( spl0_1039
| ~ spl0_29
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f7196,f6702,f184,f85725]) ).
fof(f85725,plain,
( spl0_1039
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(not(X2),or(X0,X3))),X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1039])]) ).
fof(f184,plain,
( spl0_29
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f7196,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(not(X2),or(X0,X3))),X3))))
| ~ theorem(X2) )
| ~ spl0_29
| ~ spl0_264 ),
inference(resolution,[],[f6703,f185]) ).
fof(f185,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f85723,plain,
( spl0_1038
| ~ spl0_11
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f7155,f6702,f66,f85721]) ).
fof(f85721,plain,
( spl0_1038
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(or(not(X0),X1),X2)),or(X3,or(X2,X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1038])]) ).
fof(f7155,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X2)),or(X3,or(X2,X1))))
| ~ theorem(X0) )
| ~ spl0_11
| ~ spl0_264 ),
inference(resolution,[],[f6703,f67]) ).
fof(f85719,plain,
( spl0_1037
| ~ spl0_84
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f7082,f6698,f847,f85717]) ).
fof(f85717,plain,
( spl0_1037
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(not(not(or(X2,X0))),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1037])]) ).
fof(f6698,plain,
( spl0_263
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X1,X4))))
| ~ theorem(or(not(X2),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f7082,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(not(not(or(X2,X0))),X3)) )
| ~ spl0_84
| ~ spl0_263 ),
inference(resolution,[],[f6699,f848]) ).
fof(f6699,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X1,X4))))
| ~ theorem(or(not(X2),X4)) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f6698]) ).
fof(f85715,plain,
( spl0_1036
| ~ spl0_81
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f7056,f6698,f835,f85713]) ).
fof(f85713,plain,
( spl0_1036
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,X2)),X3))))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1036])]) ).
fof(f7056,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,X2)),X3))))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_81
| ~ spl0_263 ),
inference(resolution,[],[f6699,f836]) ).
fof(f85711,plain,
( spl0_1035
| ~ spl0_26
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f7051,f6698,f163,f85709]) ).
fof(f85709,plain,
( spl0_1035
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(X2,X0)),X3))))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1035])]) ).
fof(f7051,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X2,X0)),X3))))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_26
| ~ spl0_263 ),
inference(resolution,[],[f6699,f164]) ).
fof(f85707,plain,
( spl0_1034
| ~ spl0_11
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f7007,f6698,f66,f85705]) ).
fof(f85705,plain,
( spl0_1034
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X1,X3))))
| ~ theorem(or(not(X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1034])]) ).
fof(f7007,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X1,X3))))
| ~ theorem(or(not(X0),X3)) )
| ~ spl0_11
| ~ spl0_263 ),
inference(resolution,[],[f6699,f67]) ).
fof(f85703,plain,
( spl0_1033
| ~ spl0_40
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f6896,f6690,f268,f85701]) ).
fof(f85701,plain,
( spl0_1033
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(not(not(X2))))),X1)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1033])]) ).
fof(f6690,plain,
( spl0_261
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f6896,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(not(not(X2))))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_40
| ~ spl0_261 ),
inference(resolution,[],[f6691,f269]) ).
fof(f6691,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f6690]) ).
fof(f85699,plain,
( spl0_1032
| ~ spl0_10
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f6841,f6690,f60,f85697]) ).
fof(f85697,plain,
( spl0_1032
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,or(X2,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1032])]) ).
fof(f6841,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,or(X2,X2))) )
| ~ spl0_10
| ~ spl0_261 ),
inference(resolution,[],[f6691,f61]) ).
fof(f85688,plain,
( spl0_1031
| ~ spl0_75
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f6839,f6690,f744,f85686]) ).
fof(f85686,plain,
( spl0_1031
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1031])]) ).
fof(f6839,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_75
| ~ spl0_261 ),
inference(resolution,[],[f6691,f745]) ).
fof(f85684,plain,
( spl0_1030
| ~ spl0_7
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f6838,f6690,f46,f85682]) ).
fof(f85682,plain,
( spl0_1030
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1030])]) ).
fof(f6838,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(or(X0,X3)) )
| ~ spl0_7
| ~ spl0_261 ),
inference(resolution,[],[f6691,f47]) ).
fof(f85680,plain,
( spl0_1029
| ~ spl0_141
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f6658,f5312,f2554,f85678]) ).
fof(f2554,plain,
( spl0_141
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f5312,plain,
( spl0_255
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(not(or(not(X2),X3)),or(X1,X3)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f6658,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(not(or(not(X2),X0)),or(X1,X0))) )
| ~ spl0_141
| ~ spl0_255 ),
inference(resolution,[],[f5313,f2555]) ).
fof(f2555,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f5313,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(not(X2),X3)),or(X1,X3)),X0))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f5312]) ).
fof(f85676,plain,
( spl0_1028
| ~ spl0_141
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f6525,f5276,f2554,f85674]) ).
fof(f85674,plain,
( spl0_1028
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,or(not(X1),X0))),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1028])]) ).
fof(f5276,plain,
( spl0_251
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,or(not(X1),X3))),or(X2,X3)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f6525,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,or(not(X1),X0))),or(X2,X0))) )
| ~ spl0_141
| ~ spl0_251 ),
inference(resolution,[],[f5277,f2555]) ).
fof(f5277,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X2,or(not(X1),X3))),or(X2,X3)),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f5276]) ).
fof(f85672,plain,
( spl0_1027
| ~ spl0_141
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f6400,f5260,f2554,f85670]) ).
fof(f85670,plain,
( spl0_1027
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X0)))
| theorem(or(not(or(X2,X1)),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1027])]) ).
fof(f5260,plain,
( spl0_247
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(or(not(or(X3,X1)),or(X3,X2)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f6400,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X0)))
| theorem(or(not(or(X2,X1)),or(X2,X0))) )
| ~ spl0_141
| ~ spl0_247 ),
inference(resolution,[],[f5261,f2555]) ).
fof(f5261,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X3,X1)),or(X3,X2)),X0))
| ~ theorem(or(X0,or(not(X1),X2))) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f5260]) ).
fof(f85668,plain,
( spl0_1026
| ~ spl0_50
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f6278,f5244,f322,f85666]) ).
fof(f85666,plain,
( spl0_1026
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,or(X1,X0))),X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1026])]) ).
fof(f322,plain,
( spl0_50
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f5244,plain,
( spl0_243
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f6278,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,or(X1,X0))),X2),X1)) )
| ~ spl0_50
| ~ spl0_243 ),
inference(resolution,[],[f5245,f323]) ).
fof(f323,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f5245,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f5244]) ).
fof(f85664,plain,
( spl0_1025
| ~ spl0_50
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f6193,f5228,f322,f85662]) ).
fof(f85662,plain,
( spl0_1025
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(or(X1,X0),or(X1,X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1025])]) ).
fof(f5228,plain,
( spl0_239
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f6193,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(or(X1,X0),or(X1,X0))),X1)) )
| ~ spl0_50
| ~ spl0_239 ),
inference(resolution,[],[f5229,f323]) ).
fof(f5229,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f85660,plain,
( spl0_1024
| ~ spl0_50
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f6160,f5224,f322,f85658]) ).
fof(f85658,plain,
( spl0_1024
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,or(X2,X1))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1024])]) ).
fof(f5224,plain,
( spl0_238
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f6160,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(or(X0,X1)),X2))
| theorem(or(not(or(X0,or(X2,X1))),X2)) )
| ~ spl0_50
| ~ spl0_238 ),
inference(resolution,[],[f5225,f323]) ).
fof(f5225,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f5224]) ).
fof(f85656,plain,
( spl0_1023
| ~ spl0_15
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f6139,f5220,f85,f85654]) ).
fof(f85654,plain,
( spl0_1023
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),or(X0,X2)))
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1023])]) ).
fof(f85,plain,
( spl0_15
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f5220,plain,
( spl0_237
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(or(X0,X1),or(X2,or(X3,X4))))
| ~ theorem(or(or(X3,or(X2,X4)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f6139,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),or(X0,X2)))
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_15
| ~ spl0_237 ),
inference(resolution,[],[f5221,f86]) ).
fof(f86,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f5221,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(or(X0,X1),or(X2,or(X3,X4))))
| ~ theorem(or(or(X3,or(X2,X4)),X1)) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f5220]) ).
fof(f85652,plain,
( spl0_1022
| ~ spl0_48
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f5898,f5188,f314,f85650]) ).
fof(f314,plain,
( spl0_48
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f5188,plain,
( spl0_229
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),X3))
| ~ theorem(not(not(or(X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f5898,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(not(or(not(X1),X2)),or(X0,X2))) )
| ~ spl0_48
| ~ spl0_229 ),
inference(resolution,[],[f5189,f315]) ).
fof(f315,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f5189,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),X3))
| ~ theorem(not(not(or(X2,X0)))) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f5188]) ).
fof(f85645,plain,
( spl0_1021
| ~ spl0_15
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f5626,f5172,f85,f85643]) ).
fof(f85643,plain,
( spl0_1021
<=> ! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(X1))
| theorem(not(or(or(not(X0),X1),or(not(X0),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1021])]) ).
fof(f5172,plain,
( spl0_225
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f5626,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(X1))
| theorem(not(or(or(not(X0),X1),or(not(X0),X1)))) )
| ~ spl0_15
| ~ spl0_225 ),
inference(resolution,[],[f5173,f86]) ).
fof(f5173,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X2))
| ~ theorem(X0)
| ~ theorem(not(X1)) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f5172]) ).
fof(f85641,plain,
( spl0_1020
| ~ spl0_143
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f5570,f5168,f2562,f85639]) ).
fof(f85639,plain,
( spl0_1020
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(not(X2),or(or(not(X2),X1),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1020])]) ).
fof(f2562,plain,
( spl0_143
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f5168,plain,
( spl0_224
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(or(not(X0),X2),or(not(X0),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f5570,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(not(X2),or(or(not(X2),X1),X1))) )
| ~ spl0_143
| ~ spl0_224 ),
inference(resolution,[],[f5169,f2563]) ).
fof(f2563,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f2562]) ).
fof(f5169,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(or(not(X0),X2),or(not(X0),X2))))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f5168]) ).
fof(f85637,plain,
( spl0_1019
| ~ spl0_147
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5446,f5156,f2578,f85635]) ).
fof(f85635,plain,
( spl0_1019
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(or(or(X2,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1019])]) ).
fof(f2578,plain,
( spl0_147
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f5156,plain,
( spl0_221
<=> ! [X0,X1] :
( ~ theorem(or(or(not(or(X0,not(X1))),X0),X1))
| theorem(or(not(or(X0,not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f5446,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(or(or(X2,X1),X0)) )
| ~ spl0_147
| ~ spl0_221 ),
inference(resolution,[],[f5157,f2579]) ).
fof(f2579,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f2578]) ).
fof(f5157,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(or(X0,not(X1))),X0),X1))
| theorem(or(not(or(X0,not(X1))),X0)) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f5156]) ).
fof(f85633,plain,
( spl0_1018
| ~ spl0_48
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f5317,f5130,f314,f85631]) ).
fof(f85631,plain,
( spl0_1018
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(or(not(X0),X1))))
| theorem(or(not(or(X2,X0)),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1018])]) ).
fof(f5130,plain,
( spl0_219
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(X0,X1)),or(X0,X2)),X3))
| ~ theorem(not(not(or(not(X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f5317,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(or(not(X0),X1))))
| theorem(or(not(or(X2,X0)),or(X2,X1))) )
| ~ spl0_48
| ~ spl0_219 ),
inference(resolution,[],[f5131,f315]) ).
fof(f5131,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,X1)),or(X0,X2)),X3))
| ~ theorem(not(not(or(not(X1),X2)))) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f5130]) ).
fof(f85629,plain,
( spl0_1017
| ~ spl0_10
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5063,f4445,f60,f85627]) ).
fof(f85627,plain,
( spl0_1017
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(or(X1,X1),or(X1,X1)))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1017])]) ).
fof(f4445,plain,
( spl0_214
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X1)))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f5063,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(or(X1,X1),or(X1,X1)))),X1)) )
| ~ spl0_10
| ~ spl0_214 ),
inference(resolution,[],[f4446,f61]) ).
fof(f4446,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X1)))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X1)) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f4445]) ).
fof(f85625,plain,
( spl0_1016
| ~ spl0_124
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5055,f4445,f2069,f85623]) ).
fof(f85623,plain,
( spl0_1016
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(X1,or(or(X1,X1),X1)))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1016])]) ).
fof(f2069,plain,
( spl0_124
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f5055,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(X1,or(or(X1,X1),X1)))),X1)) )
| ~ spl0_124
| ~ spl0_214 ),
inference(resolution,[],[f4446,f2070]) ).
fof(f2070,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f85621,plain,
( spl0_1015
| ~ spl0_104
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5053,f4445,f1706,f85619]) ).
fof(f85619,plain,
( spl0_1015
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(or(X1,X2),X2))),or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1015])]) ).
fof(f5053,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(or(X1,X2),X2))),or(X1,X2))) )
| ~ spl0_104
| ~ spl0_214 ),
inference(resolution,[],[f4446,f1707]) ).
fof(f85617,plain,
( spl0_1014
| ~ spl0_126
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f5035,f4441,f2077,f85615]) ).
fof(f85615,plain,
( spl0_1014
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),or(X1,not(X2)))))
| ~ theorem(not(X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1014])]) ).
fof(f2077,plain,
( spl0_126
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f4441,plain,
( spl0_213
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(X1)
| theorem(not(or(not(X1),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f5035,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),or(X1,not(X2)))))
| ~ theorem(not(X1))
| ~ theorem(X2) )
| ~ spl0_126
| ~ spl0_213 ),
inference(resolution,[],[f4442,f2078]) ).
fof(f2078,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f4442,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(X1)
| theorem(not(or(not(X1),X0))) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f4441]) ).
fof(f85613,plain,
( spl0_1013
| ~ spl0_11
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f4952,f4437,f66,f85611]) ).
fof(f85611,plain,
( spl0_1013
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(or(X0,or(X4,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1013])]) ).
fof(f4437,plain,
( spl0_212
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X4))))
| ~ theorem(or(not(X1),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f4952,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(or(X0,or(X4,X3))) )
| ~ spl0_11
| ~ spl0_212 ),
inference(resolution,[],[f4438,f67]) ).
fof(f4438,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X1),X4))
| theorem(or(X0,or(X2,or(X3,X4))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f4437]) ).
fof(f85609,plain,
( spl0_1012
| ~ spl0_45
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f4934,f4433,f296,f85607]) ).
fof(f85607,plain,
( spl0_1012
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),not(X1))),X2))
| ~ theorem(or(not(X1),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1012])]) ).
fof(f296,plain,
( spl0_45
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f4433,plain,
( spl0_211
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(not(or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f4934,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),not(X1))),X2))
| ~ theorem(or(not(X1),X0))
| ~ theorem(X1) )
| ~ spl0_45
| ~ spl0_211 ),
inference(resolution,[],[f4434,f297]) ).
fof(f297,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f4434,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,X2)))
| theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(X0,X1)) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f4433]) ).
fof(f85605,plain,
( spl0_1011
| ~ spl0_21
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f49387,f46228,f135,f85603]) ).
fof(f85603,plain,
( spl0_1011
<=> ! [X2,X0,X1] : theorem(or(or(X0,not(X1)),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1011])]) ).
fof(f135,plain,
( spl0_21
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f46228,plain,
( spl0_622
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X3),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f49387,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,not(X1)),or(X2,X1)))
| ~ spl0_21
| ~ spl0_622 ),
inference(resolution,[],[f46229,f136]) ).
fof(f136,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f46229,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X3,X3),X1))
| theorem(or(or(X0,X1),or(X2,X3))) )
| ~ spl0_622 ),
inference(avatar_component_clause,[],[f46228]) ).
fof(f85601,plain,
( spl0_1010
| ~ spl0_29
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f4883,f4429,f184,f85599]) ).
fof(f85599,plain,
( spl0_1010
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X1,or(X2,or(X0,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1010])]) ).
fof(f4429,plain,
( spl0_210
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X2,or(not(X1),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f4883,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X1,or(X2,or(X0,X3)))) )
| ~ spl0_29
| ~ spl0_210 ),
inference(resolution,[],[f4430,f185]) ).
fof(f4430,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X1),X3)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f4429]) ).
fof(f85597,plain,
( spl0_1009
| ~ spl0_30
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f4871,f4429,f188,f85595]) ).
fof(f85595,plain,
( spl0_1009
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(or(X0,X2),or(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1009])]) ).
fof(f188,plain,
( spl0_30
<=> ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f4871,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(or(X0,X2),or(X0,X2)))) )
| ~ spl0_30
| ~ spl0_210 ),
inference(resolution,[],[f4430,f189]) ).
fof(f189,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f85593,plain,
( spl0_1008
| ~ spl0_104
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f4836,f4429,f1706,f85591]) ).
fof(f85591,plain,
( spl0_1008
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1008])]) ).
fof(f4836,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_104
| ~ spl0_210 ),
inference(resolution,[],[f4430,f1707]) ).
fof(f85589,plain,
( spl0_1007
| ~ spl0_193
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f4806,f4425,f3840,f85587]) ).
fof(f85587,plain,
( spl0_1007
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2))
| theorem(or(X3,X1))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1007])]) ).
fof(f3840,plain,
( spl0_193
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(not(X0),X2),or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f4425,plain,
( spl0_209
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X3))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f4806,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2))
| theorem(or(X3,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_193
| ~ spl0_209 ),
inference(resolution,[],[f4426,f3841]) ).
fof(f3841,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(X0),X2),or(not(X0),X2)))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f3840]) ).
fof(f4426,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X2,X0)),X1),X3))
| ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2)) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f4425]) ).
fof(f85585,plain,
( spl0_1006
| ~ spl0_11
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4725,f4367,f66,f85583]) ).
fof(f85583,plain,
( spl0_1006
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(or(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1006])]) ).
fof(f4367,plain,
( spl0_207
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f4725,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(or(X3,X2)) )
| ~ spl0_11
| ~ spl0_207 ),
inference(resolution,[],[f4368,f67]) ).
fof(f4368,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(X0) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f4367]) ).
fof(f85581,plain,
( spl0_1005
| ~ spl0_45
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f4521,f4339,f296,f85579]) ).
fof(f85579,plain,
( spl0_1005
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(not(X2),not(or(X0,X2))))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1005])]) ).
fof(f4339,plain,
( spl0_200
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X0,X2)),X3)))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f4521,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(not(X2),not(or(X0,X2))))
| ~ theorem(or(X0,X2)) )
| ~ spl0_45
| ~ spl0_200 ),
inference(resolution,[],[f4340,f297]) ).
fof(f4340,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(not(or(X0,X2)),X3)))
| theorem(or(X0,X1))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f4339]) ).
fof(f85577,plain,
( spl0_1004
| ~ spl0_45
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f4520,f4335,f296,f85575]) ).
fof(f85575,plain,
( spl0_1004
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(or(not(X1),not(X0)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1004])]) ).
fof(f4335,plain,
( spl0_199
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X0,X3)))
| ~ theorem(or(not(X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f4520,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(or(not(X1),not(X0)))
| ~ theorem(X0) )
| ~ spl0_45
| ~ spl0_199 ),
inference(resolution,[],[f4336,f297]) ).
fof(f4336,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,X3)))
| theorem(or(not(or(X0,X1)),X2))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f4335]) ).
fof(f85573,plain,
( spl0_1003
| ~ spl0_22
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f4269,f3848,f139,f85571]) ).
fof(f85571,plain,
( spl0_1003
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(not(or(not(X0),not(X0)))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1003])]) ).
fof(f139,plain,
( spl0_22
<=> ! [X0] : theorem(or(X0,not(or(X0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f3848,plain,
( spl0_195
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(not(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f4269,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(not(or(not(X0),not(X0)))),X2)) )
| ~ spl0_22
| ~ spl0_195 ),
inference(resolution,[],[f3849,f140]) ).
fof(f140,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f3849,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X2),X0))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f3848]) ).
fof(f85569,plain,
( spl0_1002
| ~ spl0_47
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f4234,f3848,f310,f85567]) ).
fof(f85567,plain,
( spl0_1002
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(or(X2,X3))
| ~ theorem(or(not(X0),X3))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1002])]) ).
fof(f310,plain,
( spl0_47
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f4234,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(or(X2,X3))
| ~ theorem(or(not(X0),X3))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_195 ),
inference(resolution,[],[f3849,f311]) ).
fof(f311,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f85565,plain,
( spl0_1001
| ~ spl0_16
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f4211,f3844,f92,f85563]) ).
fof(f85563,plain,
( spl0_1001
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,or(not(or(X3,not(X1))),X3)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1001])]) ).
fof(f92,plain,
( spl0_16
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f3844,plain,
( spl0_194
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,not(X1))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f4211,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,or(not(or(X3,not(X1))),X3)),X0)) )
| ~ spl0_16
| ~ spl0_194 ),
inference(resolution,[],[f3845,f93]) ).
fof(f93,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f3845,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X2,or(not(or(X3,not(X1))),X3))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f3844]) ).
fof(f85558,plain,
( spl0_1000
| ~ spl0_54
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f4203,f3844,f417,f85556]) ).
fof(f85556,plain,
( spl0_1000
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(not(or(X2,not(X1))),X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1000])]) ).
fof(f417,plain,
( spl0_54
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f4203,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(not(or(X2,not(X1))),X2),X3))) )
| ~ spl0_54
| ~ spl0_194 ),
inference(resolution,[],[f3845,f418]) ).
fof(f418,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f85554,plain,
( spl0_999
| ~ spl0_67
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f4199,f3844,f590,f85552]) ).
fof(f85552,plain,
( spl0_999
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(X2,not(X1))),or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_999])]) ).
fof(f590,plain,
( spl0_67
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X2,or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f4199,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(X2,not(X1))),or(X3,X2)))) )
| ~ spl0_67
| ~ spl0_194 ),
inference(resolution,[],[f3845,f591]) ).
fof(f591,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f85550,plain,
( spl0_998
| ~ spl0_16
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f4148,f3814,f92,f85548]) ).
fof(f85548,plain,
( spl0_998
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(or(X2,X2),X0)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_998])]) ).
fof(f3814,plain,
( spl0_192
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(or(X2,X2),X0)),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f4148,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(or(X2,X2),X0)),X1))) )
| ~ spl0_16
| ~ spl0_192 ),
inference(resolution,[],[f3815,f93]) ).
fof(f3815,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(or(X2,X2),X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f3814]) ).
fof(f85546,plain,
( spl0_997
| ~ spl0_47
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f4017,f3802,f310,f85544]) ).
fof(f85544,plain,
( spl0_997
<=> ! [X2,X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_997])]) ).
fof(f3802,plain,
( spl0_189
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f4017,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_189 ),
inference(resolution,[],[f3803,f311]) ).
fof(f3803,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(X0) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f3802]) ).
fof(f85542,plain,
( spl0_996
| ~ spl0_79
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f3994,f3798,f782,f85540]) ).
fof(f85540,plain,
( spl0_996
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(or(X0,X2),or(X0,X2))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_996])]) ).
fof(f782,plain,
( spl0_79
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f3798,plain,
( spl0_188
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X2))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f3994,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(or(X0,X2),or(X0,X2))),X2))) )
| ~ spl0_79
| ~ spl0_188 ),
inference(resolution,[],[f3799,f783]) ).
fof(f783,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f3799,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X2))
| ~ theorem(not(X0)) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f3798]) ).
fof(f85538,plain,
( spl0_995
| ~ spl0_79
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f3974,f3794,f782,f85536]) ).
fof(f85536,plain,
( spl0_995
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X2,or(X0,X3))),or(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_995])]) ).
fof(f3794,plain,
( spl0_187
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X3))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f3974,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X2,or(X0,X3))),or(X2,X3)))) )
| ~ spl0_79
| ~ spl0_187 ),
inference(resolution,[],[f3795,f783]) ).
fof(f3795,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f3794]) ).
fof(f85534,plain,
( spl0_994
| ~ spl0_79
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f3934,f3778,f782,f85532]) ).
fof(f85532,plain,
( spl0_994
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(or(X0,or(X1,X2))))
| theorem(or(X3,not(or(X1,or(X0,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_994])]) ).
fof(f3778,plain,
( spl0_183
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(X1,X2))),X3))
| ~ theorem(not(or(X1,or(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f3934,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| theorem(or(X3,not(or(X1,or(X0,X2))))) )
| ~ spl0_79
| ~ spl0_183 ),
inference(resolution,[],[f3779,f783]) ).
fof(f3779,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),X3))
| ~ theorem(not(or(X1,or(X0,X2)))) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f3778]) ).
fof(f85530,plain,
( spl0_993
| ~ spl0_16
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f3909,f3770,f92,f85528]) ).
fof(f85528,plain,
( spl0_993
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,or(not(X0),X2))),or(X1,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_993])]) ).
fof(f3770,plain,
( spl0_181
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f3909,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,or(not(X0),X2))),or(X1,X2)),X3)) )
| ~ spl0_16
| ~ spl0_181 ),
inference(resolution,[],[f3771,f93]) ).
fof(f3771,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(X2) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f3770]) ).
fof(f85526,plain,
( spl0_992
| ~ spl0_16
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f3885,f3766,f92,f85524]) ).
fof(f85524,plain,
( spl0_992
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),or(X2,X1)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_992])]) ).
fof(f3766,plain,
( spl0_180
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f3885,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),or(X2,X1)),X3)) )
| ~ spl0_16
| ~ spl0_180 ),
inference(resolution,[],[f3767,f93]) ).
fof(f3767,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f3766]) ).
fof(f85522,plain,
( spl0_991
| ~ spl0_16
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f3861,f3762,f92,f85520]) ).
fof(f85520,plain,
( spl0_991
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(not(X1),X2)),or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_991])]) ).
fof(f3762,plain,
( spl0_179
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f3861,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(not(X1),X2)),or(X0,X2)),X3)) )
| ~ spl0_16
| ~ spl0_179 ),
inference(resolution,[],[f3763,f93]) ).
fof(f3763,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X3,X1)) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f3762]) ).
fof(f85518,plain,
( spl0_990
| ~ spl0_182
| ~ spl0_727 ),
inference(avatar_split_clause,[],[f85327,f48796,f3774,f85516]) ).
fof(f85516,plain,
( spl0_990
<=> ! [X0,X1] : ~ theorem(not(or(or(X0,not(X0)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_990])]) ).
fof(f48796,plain,
( spl0_727
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(X1,not(X1)),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).
fof(f85327,plain,
( ! [X0,X1] : ~ theorem(not(or(or(X0,not(X0)),X1)))
| ~ spl0_182
| ~ spl0_727 ),
inference(resolution,[],[f48797,f3775]) ).
fof(f48797,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,not(X1)),X2)))
| ~ spl0_727 ),
inference(avatar_component_clause,[],[f48796]) ).
fof(f85514,plain,
( spl0_989
| ~ spl0_135
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f3757,f3270,f2115,f85512]) ).
fof(f85512,plain,
( spl0_989
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(not(X2),X0)),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_989])]) ).
fof(f2115,plain,
( spl0_135
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f3270,plain,
( spl0_178
<=> ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f3757,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(not(X2),X0)),X1)))
| ~ theorem(X2) )
| ~ spl0_135
| ~ spl0_178 ),
inference(resolution,[],[f3271,f2116]) ).
fof(f2116,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(not(X0),X2)))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f3271,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1))))
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f3270]) ).
fof(f85510,plain,
( spl0_988
| ~ spl0_51
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f3745,f3270,f357,f85508]) ).
fof(f85508,plain,
( spl0_988
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(X1,X2)),X3))))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_988])]) ).
fof(f357,plain,
( spl0_51
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f3745,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X1,X2)),X3))))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_51
| ~ spl0_178 ),
inference(resolution,[],[f3271,f358]) ).
fof(f358,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f85506,plain,
( spl0_987
| ~ spl0_135
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f3739,f3266,f2115,f85504]) ).
fof(f85504,plain,
( spl0_987
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(not(X1),X2)),X2)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_987])]) ).
fof(f3266,plain,
( spl0_177
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f3739,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(not(X1),X2)),X2)))
| ~ theorem(X0) )
| ~ spl0_135
| ~ spl0_177 ),
inference(resolution,[],[f3267,f2116]) ).
fof(f3267,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2))))
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f3266]) ).
fof(f85502,plain,
( spl0_986
| ~ spl0_46
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3666,f3235,f300,f85500]) ).
fof(f85500,plain,
( spl0_986
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(X0,or(X1,not(X2)))),X0),or(X3,X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_986])]) ).
fof(f3235,plain,
( spl0_174
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,or(X3,X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f3666,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,not(X2)))),X0),or(X3,X1)))
| ~ theorem(X2) )
| ~ spl0_46
| ~ spl0_174 ),
inference(resolution,[],[f3236,f301]) ).
fof(f3236,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,or(X3,X1)))
| ~ theorem(X2) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f3235]) ).
fof(f85498,plain,
( spl0_985
| ~ spl0_133
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3661,f3235,f2107,f85496]) ).
fof(f85496,plain,
( spl0_985
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(X0,or(not(X1),X2))),X0),or(X3,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_985])]) ).
fof(f2107,plain,
( spl0_133
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f3661,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(not(X1),X2))),X0),or(X3,X2)))
| ~ theorem(X1) )
| ~ spl0_133
| ~ spl0_174 ),
inference(resolution,[],[f3236,f2108]) ).
fof(f2108,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f85494,plain,
( spl0_984
| ~ spl0_121
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3656,f3235,f2056,f85492]) ).
fof(f85492,plain,
( spl0_984
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(X2,or(X0,not(X3)))),X2))))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_984])]) ).
fof(f2056,plain,
( spl0_121
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f3656,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X2,or(X0,not(X3)))),X2))))
| ~ theorem(X3) )
| ~ spl0_121
| ~ spl0_174 ),
inference(resolution,[],[f3236,f2057]) ).
fof(f2057,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f2056]) ).
fof(f85490,plain,
( spl0_983
| ~ spl0_169
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3622,f3235,f3215,f85488]) ).
fof(f85488,plain,
( spl0_983
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ theorem(or(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_983])]) ).
fof(f3215,plain,
( spl0_169
<=> ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f3622,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_169
| ~ spl0_174 ),
inference(resolution,[],[f3236,f3216]) ).
fof(f3216,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0)))))
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f3215]) ).
fof(f85486,plain,
( spl0_982
| ~ spl0_168
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3612,f3235,f3211,f85484]) ).
fof(f85484,plain,
( spl0_982
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X0,X3))))
| ~ theorem(or(not(X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_982])]) ).
fof(f3211,plain,
( spl0_168
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f3612,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X0,X3))))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_168
| ~ spl0_174 ),
inference(resolution,[],[f3236,f3212]) ).
fof(f3212,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2)))))
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f3211]) ).
fof(f85482,plain,
( spl0_981
| ~ spl0_129
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3611,f3235,f2089,f85480]) ).
fof(f85480,plain,
( spl0_981
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X3,or(X0,X2))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_981])]) ).
fof(f2089,plain,
( spl0_129
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f3611,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X3,or(X0,X2))))
| ~ theorem(X1) )
| ~ spl0_129
| ~ spl0_174 ),
inference(resolution,[],[f3236,f2090]) ).
fof(f2090,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f2089]) ).
fof(f85478,plain,
( spl0_980
| ~ spl0_84
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3569,f3227,f847,f85476]) ).
fof(f85476,plain,
( spl0_980
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,not(or(X1,not(X2))))))),X0))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_980])]) ).
fof(f3227,plain,
( spl0_172
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,not(X1))),X2))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3569,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,not(or(X1,not(X2))))))),X0))
| ~ theorem(X2) )
| ~ spl0_84
| ~ spl0_172 ),
inference(resolution,[],[f3228,f848]) ).
fof(f3228,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,not(X1))),X2))
| ~ theorem(X0) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f3227]) ).
fof(f85293,plain,
( spl0_979
| ~ spl0_81
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3551,f3227,f835,f85291]) ).
fof(f85291,plain,
( spl0_979
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(not(or(not(X1),X2)),X2)))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_979])]) ).
fof(f3551,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(not(or(not(X1),X2)),X2)))),X0))
| ~ theorem(X1) )
| ~ spl0_81
| ~ spl0_172 ),
inference(resolution,[],[f3228,f836]) ).
fof(f85289,plain,
( spl0_978
| ~ spl0_26
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3546,f3227,f163,f85287]) ).
fof(f85287,plain,
( spl0_978
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(not(or(X1,not(X2))),X1)))),X0))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_978])]) ).
fof(f3546,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(not(or(X1,not(X2))),X1)))),X0))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_172 ),
inference(resolution,[],[f3228,f164]) ).
fof(f85285,plain,
( spl0_977
| ~ spl0_97
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3533,f3227,f1033,f85283]) ).
fof(f85283,plain,
( spl0_977
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(or(X1,X1),or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_977])]) ).
fof(f1033,plain,
( spl0_97
<=> ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f3533,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(or(X1,X1),or(X1,X1))) )
| ~ spl0_97
| ~ spl0_172 ),
inference(resolution,[],[f3228,f1034]) ).
fof(f1034,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f85281,plain,
( spl0_976
| ~ spl0_104
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3514,f3227,f1706,f85279]) ).
fof(f85279,plain,
( spl0_976
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,not(or(X1,or(X2,X3))))),X0))
| ~ theorem(or(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_976])]) ).
fof(f3514,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,or(X2,X3))))),X0))
| ~ theorem(or(X1,X3)) )
| ~ spl0_104
| ~ spl0_172 ),
inference(resolution,[],[f3228,f1707]) ).
fof(f85277,plain,
( spl0_975
| ~ spl0_133
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3480,f3223,f2107,f85275]) ).
fof(f85275,plain,
( spl0_975
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(or(not(or(X1,or(X2,not(X3)))),X1),X2)))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_975])]) ).
fof(f3223,plain,
( spl0_171
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(not(X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f3480,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(not(or(X1,or(X2,not(X3)))),X1),X2)))
| ~ theorem(X3) )
| ~ spl0_133
| ~ spl0_171 ),
inference(resolution,[],[f3224,f2108]) ).
fof(f3224,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X0),X3)))
| theorem(or(X1,or(X2,X3)))
| ~ theorem(X0) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f3223]) ).
fof(f85273,plain,
( spl0_974
| ~ spl0_138
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3477,f3223,f2127,f85271]) ).
fof(f85271,plain,
( spl0_974
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(or(not(X2),X3),X1)),X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_974])]) ).
fof(f2127,plain,
( spl0_138
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f3477,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(or(not(X2),X3),X1)),X3))))
| ~ theorem(X2) )
| ~ spl0_138
| ~ spl0_171 ),
inference(resolution,[],[f3224,f2128]) ).
fof(f2128,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f85269,plain,
( spl0_973
| ~ spl0_137
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3476,f3223,f2123,f85267]) ).
fof(f85267,plain,
( spl0_973
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(not(X2),or(X1,X3))),X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_973])]) ).
fof(f2123,plain,
( spl0_137
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f3476,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(not(X2),or(X1,X3))),X3))))
| ~ theorem(X2) )
| ~ spl0_137
| ~ spl0_171 ),
inference(resolution,[],[f3224,f2124]) ).
fof(f2124,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f85265,plain,
( spl0_972
| ~ spl0_136
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3441,f3223,f2119,f85263]) ).
fof(f85263,plain,
( spl0_972
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),X3)),or(X3,X2))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_972])]) ).
fof(f2119,plain,
( spl0_136
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f3441,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),X3)),or(X3,X2))))
| ~ theorem(X1) )
| ~ spl0_136
| ~ spl0_171 ),
inference(resolution,[],[f3224,f2120]) ).
fof(f2120,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f85261,plain,
( spl0_971
| ~ spl0_51
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f3381,f3215,f357,f85259]) ).
fof(f85259,plain,
( spl0_971
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(or(X1,X2),not(or(X1,X3)))))
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_971])]) ).
fof(f3381,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X1,X2),not(or(X1,X3)))))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_51
| ~ spl0_169 ),
inference(resolution,[],[f3216,f358]) ).
fof(f85257,plain,
( spl0_970
| ~ spl0_51
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f3366,f3211,f357,f85255]) ).
fof(f85255,plain,
( spl0_970
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(or(X1,X2),not(or(not(X3),X2)))))
| ~ theorem(or(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_970])]) ).
fof(f3366,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X1,X2),not(or(not(X3),X2)))))
| ~ theorem(or(X1,X3)) )
| ~ spl0_51
| ~ spl0_168 ),
inference(resolution,[],[f3212,f358]) ).
fof(f85253,plain,
( spl0_969
| ~ spl0_21
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f48404,f46177,f135,f85251]) ).
fof(f85251,plain,
( spl0_969
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X2))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_969])]) ).
fof(f46177,plain,
( spl0_612
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(or(or(X3,X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f48404,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X2))),X2))
| ~ spl0_21
| ~ spl0_612 ),
inference(resolution,[],[f46178,f136]) ).
fof(f46178,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X3,X3),X2))
| theorem(or(or(X0,or(X1,X2)),X3)) )
| ~ spl0_612 ),
inference(avatar_component_clause,[],[f46177]) ).
fof(f85249,plain,
( spl0_968
| ~ spl0_84
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3348,f3207,f847,f85247]) ).
fof(f85247,plain,
( spl0_968
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X3,not(or(X3,not(X1))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_968])]) ).
fof(f3207,plain,
( spl0_167
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X3))
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f3348,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X3,not(or(X3,not(X1))))))) )
| ~ spl0_84
| ~ spl0_167 ),
inference(resolution,[],[f3208,f848]) ).
fof(f3208,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f3207]) ).
fof(f85245,plain,
( spl0_967
| ~ spl0_81
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3330,f3207,f835,f85243]) ).
fof(f85243,plain,
( spl0_967
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(not(or(not(X1),X3)),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_967])]) ).
fof(f3330,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(not(or(not(X1),X3)),X3)))) )
| ~ spl0_81
| ~ spl0_167 ),
inference(resolution,[],[f3208,f836]) ).
fof(f85241,plain,
( spl0_966
| ~ spl0_26
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3325,f3207,f163,f85239]) ).
fof(f85239,plain,
( spl0_966
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(not(or(X3,not(X1))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_966])]) ).
fof(f3325,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(not(or(X3,not(X1))),X3)))) )
| ~ spl0_26
| ~ spl0_167 ),
inference(resolution,[],[f3208,f164]) ).
fof(f85237,plain,
( spl0_965
| ~ spl0_97
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3312,f3207,f1033,f85235]) ).
fof(f85235,plain,
( spl0_965
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X1),or(X1,X1))))
| theorem(or(X2,or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_965])]) ).
fof(f3312,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X1),or(X1,X1))))
| theorem(or(X2,or(X0,X1))) )
| ~ spl0_97
| ~ spl0_167 ),
inference(resolution,[],[f3208,f1034]) ).
fof(f85233,plain,
( spl0_964
| ~ spl0_104
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3295,f3207,f1706,f85231]) ).
fof(f85231,plain,
( spl0_964
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X0,or(X1,or(X4,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_964])]) ).
fof(f3295,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X0,or(X1,or(X4,X2))))) )
| ~ spl0_104
| ~ spl0_167 ),
inference(resolution,[],[f3208,f1707]) ).
fof(f85229,plain,
( spl0_963
| ~ spl0_15
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3150,f2639,f85,f85227]) ).
fof(f85227,plain,
( spl0_963
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_963])]) ).
fof(f2639,plain,
( spl0_162
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f3150,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),or(X0,X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_15
| ~ spl0_162 ),
inference(resolution,[],[f2640,f86]) ).
fof(f2640,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X1,X3))) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f85225,plain,
( spl0_962
| ~ spl0_119
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3143,f2639,f1851,f85223]) ).
fof(f85223,plain,
( spl0_962
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(or(X1,X2),X2)))
| theorem(or(X0,or(X3,or(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_962])]) ).
fof(f1851,plain,
( spl0_119
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f3143,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X2),X2)))
| theorem(or(X0,or(X3,or(X1,X2)))) )
| ~ spl0_119
| ~ spl0_162 ),
inference(resolution,[],[f2640,f1852]) ).
fof(f1852,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f85221,plain,
( spl0_961
| ~ spl0_27
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3125,f2635,f171,f85219]) ).
fof(f85219,plain,
( spl0_961
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X3)),X1))
| ~ theorem(or(not(X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_961])]) ).
fof(f171,plain,
( spl0_27
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2635,plain,
( spl0_161
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f3125,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X3)),X1))
| ~ theorem(or(not(X0),X3)) )
| ~ spl0_27
| ~ spl0_161 ),
inference(resolution,[],[f2636,f172]) ).
fof(f172,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f2636,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X2),X0))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f2635]) ).
fof(f85217,plain,
( spl0_960
| ~ spl0_94
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3121,f2635,f942,f85215]) ).
fof(f85215,plain,
( spl0_960
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X3)),X1))
| ~ theorem(or(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_960])]) ).
fof(f942,plain,
( spl0_94
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f3121,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X3)),X1))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_94
| ~ spl0_161 ),
inference(resolution,[],[f2636,f943]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f85213,plain,
( spl0_959
| ~ spl0_86
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3101,f2635,f911,f85211]) ).
fof(f85211,plain,
( spl0_959
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(or(not(X0),not(X2)))),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_959])]) ).
fof(f911,plain,
( spl0_86
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f3101,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(or(not(X0),not(X2)))),X1))
| ~ theorem(X2) )
| ~ spl0_86
| ~ spl0_161 ),
inference(resolution,[],[f2636,f912]) ).
fof(f912,plain,
( ! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f85209,plain,
( spl0_958
| ~ spl0_21
| ~ spl0_611 ),
inference(avatar_split_clause,[],[f48201,f46173,f135,f85207]) ).
fof(f85207,plain,
( spl0_958
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_958])]) ).
fof(f46173,plain,
( spl0_611
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(or(or(X3,X3),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f48201,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X2)),X1))
| ~ spl0_21
| ~ spl0_611 ),
inference(resolution,[],[f46174,f136]) ).
fof(f46174,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X3,X3),X1))
| theorem(or(or(X0,or(X1,X2)),X3)) )
| ~ spl0_611 ),
inference(avatar_component_clause,[],[f46173]) ).
fof(f85205,plain,
( spl0_957
| ~ spl0_108
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3095,f2635,f1807,f85203]) ).
fof(f85203,plain,
( spl0_957
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X0),not(X1)))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_957])]) ).
fof(f1807,plain,
( spl0_108
<=> ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f3095,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X0),not(X1)))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(X1) )
| ~ spl0_108
| ~ spl0_161 ),
inference(resolution,[],[f2636,f1808]) ).
fof(f1808,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f85201,plain,
( spl0_956
| ~ spl0_116
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3070,f2635,f1839,f85199]) ).
fof(f85199,plain,
( spl0_956
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X0)))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_956])]) ).
fof(f1839,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f3070,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X0)))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(X1) )
| ~ spl0_116
| ~ spl0_161 ),
inference(resolution,[],[f2636,f1840]) ).
fof(f1840,plain,
( ! [X0,X1] :
( theorem(or(not(or(X1,or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f85197,plain,
( spl0_955
| ~ spl0_107
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3069,f2635,f1803,f85195]) ).
fof(f85195,plain,
( spl0_955
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_955])]) ).
fof(f1803,plain,
( spl0_107
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f3069,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_107
| ~ spl0_161 ),
inference(resolution,[],[f2636,f1804]) ).
fof(f1804,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1803]) ).
fof(f85193,plain,
( spl0_954
| ~ spl0_15
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3051,f2631,f85,f85191]) ).
fof(f85191,plain,
( spl0_954
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),or(X2,X1)))
| theorem(or(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_954])]) ).
fof(f2631,plain,
( spl0_160
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f3051,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),or(X2,X1)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_15
| ~ spl0_160 ),
inference(resolution,[],[f2632,f86]) ).
fof(f2632,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X3,or(X2,X1))))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f2631]) ).
fof(f85189,plain,
( spl0_953
| ~ spl0_50
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f2962,f2606,f322,f85187]) ).
fof(f85187,plain,
( spl0_953
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X0),X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_953])]) ).
fof(f2606,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f2962,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X0),X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) )
| ~ spl0_50
| ~ spl0_154 ),
inference(resolution,[],[f2607,f323]) ).
fof(f2607,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X2,not(X1))),X2),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f2606]) ).
fof(f85185,plain,
( spl0_952
| ~ spl0_141
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f2955,f2606,f2554,f85183]) ).
fof(f85183,plain,
( spl0_952
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(or(X2,X0),not(X1))),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_952])]) ).
fof(f2955,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(or(X2,X0),not(X1))),or(X2,X0))) )
| ~ spl0_141
| ~ spl0_154 ),
inference(resolution,[],[f2607,f2555]) ).
fof(f85181,plain,
( spl0_951
| ~ spl0_108
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2831,f2582,f1807,f85179]) ).
fof(f85179,plain,
( spl0_951
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(or(X0,X0),not(X1)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_951])]) ).
fof(f2582,plain,
( spl0_148
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f2831,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(or(X0,X0),not(X1)))
| ~ theorem(X1) )
| ~ spl0_108
| ~ spl0_148 ),
inference(resolution,[],[f2583,f1808]) ).
fof(f2583,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f2582]) ).
fof(f85177,plain,
( spl0_950
| ~ spl0_116
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2809,f2582,f1839,f85175]) ).
fof(f85175,plain,
( spl0_950
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,or(not(X1),X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_950])]) ).
fof(f2809,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,or(not(X1),X0)))
| ~ theorem(X1) )
| ~ spl0_116
| ~ spl0_148 ),
inference(resolution,[],[f2583,f1840]) ).
fof(f85173,plain,
( spl0_949
| ~ spl0_107
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2808,f2582,f1803,f85171]) ).
fof(f85171,plain,
( spl0_949
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X1))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_949])]) ).
fof(f2808,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X1))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_107
| ~ spl0_148 ),
inference(resolution,[],[f2583,f1804]) ).
fof(f85169,plain,
( spl0_948
| ~ spl0_109
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f2733,f2562,f1811,f85167]) ).
fof(f85167,plain,
( spl0_948
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X3,or(X1,or(X0,X2))),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_948])]) ).
fof(f1811,plain,
( spl0_109
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f2733,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X3,or(X1,or(X0,X2))),X4)) )
| ~ spl0_109
| ~ spl0_143 ),
inference(resolution,[],[f2563,f1812]) ).
fof(f1812,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X2,X2),X1))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f85021,plain,
( spl0_947
| ~ spl0_15
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2708,f2558,f85,f85019]) ).
fof(f85019,plain,
( spl0_947
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(or(or(X0,X1),X2),X2),X1))
| theorem(or(or(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_947])]) ).
fof(f2558,plain,
( spl0_142
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(or(X3,X2),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f2708,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(or(or(X0,X1),X2),X2),X1))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_15
| ~ spl0_142 ),
inference(resolution,[],[f2559,f86]) ).
fof(f2559,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X3,X2),X1)))
| ~ theorem(or(or(X0,X1),X2)) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f2558]) ).
fof(f85017,plain,
( spl0_946
| ~ spl0_119
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2700,f2558,f1851,f85015]) ).
fof(f85015,plain,
( spl0_946
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X0,or(X3,or(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_946])]) ).
fof(f2700,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X0,or(X3,or(X1,X2)))) )
| ~ spl0_119
| ~ spl0_142 ),
inference(resolution,[],[f2559,f1852]) ).
fof(f85013,plain,
( spl0_945
| ~ spl0_66
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2677,f2554,f539,f85011]) ).
fof(f85011,plain,
( spl0_945
<=> ! [X0,X1] : theorem(or(not(or(not(X0),not(or(X1,X0)))),or(X1,not(or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_945])]) ).
fof(f539,plain,
( spl0_66
<=> ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f2677,plain,
( ! [X0,X1] : theorem(or(not(or(not(X0),not(or(X1,X0)))),or(X1,not(or(X1,X0)))))
| ~ spl0_66
| ~ spl0_141 ),
inference(resolution,[],[f2555,f540]) ).
fof(f540,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0))))
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f85009,plain,
( spl0_944
| ~ spl0_60
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2666,f2554,f482,f85007]) ).
fof(f85007,plain,
( spl0_944
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_944])]) ).
fof(f482,plain,
( spl0_60
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2666,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),or(X2,X0))) )
| ~ spl0_60
| ~ spl0_141 ),
inference(resolution,[],[f2555,f483]) ).
fof(f483,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X2,X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f85005,plain,
( spl0_943
| ~ spl0_52
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2541,f2127,f361,f85003]) ).
fof(f85003,plain,
( spl0_943
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,or(not(or(or(X2,X3),X0)),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_943])]) ).
fof(f361,plain,
( spl0_52
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f2541,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,or(not(or(or(X2,X3),X0)),X3)))) )
| ~ spl0_52
| ~ spl0_138 ),
inference(resolution,[],[f2128,f362]) ).
fof(f362,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,X1))
| ~ theorem(not(X2)) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f85001,plain,
( spl0_942
| ~ spl0_51
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2532,f2123,f357,f84999]) ).
fof(f84999,plain,
( spl0_942
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(X1,or(not(X2),X3))),X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_942])]) ).
fof(f2532,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X1,or(not(X2),X3))),X3))))
| ~ theorem(X2) )
| ~ spl0_51
| ~ spl0_137 ),
inference(resolution,[],[f2124,f358]) ).
fof(f84997,plain,
( spl0_941
| ~ spl0_52
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2527,f2123,f361,f84995]) ).
fof(f84995,plain,
( spl0_941
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,or(not(or(X2,or(X0,X3))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_941])]) ).
fof(f2527,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,or(not(or(X2,or(X0,X3))),X3)))) )
| ~ spl0_52
| ~ spl0_137 ),
inference(resolution,[],[f2124,f362]) ).
fof(f84993,plain,
( spl0_940
| ~ spl0_52
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2519,f2119,f361,f84991]) ).
fof(f84991,plain,
( spl0_940
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(or(X0,X1),X2)),X3))
| ~ theorem(not(or(X0,or(X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_940])]) ).
fof(f2519,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(or(X0,X1),X2)),X3))
| ~ theorem(not(or(X0,or(X2,X1)))) )
| ~ spl0_52
| ~ spl0_136 ),
inference(resolution,[],[f2120,f362]) ).
fof(f84989,plain,
( spl0_939
| ~ spl0_31
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2509,f2119,f192,f84987]) ).
fof(f84987,plain,
( spl0_939
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(or(X1,X3),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_939])]) ).
fof(f192,plain,
( spl0_31
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2509,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(or(X1,X3),X2))) )
| ~ spl0_31
| ~ spl0_136 ),
inference(resolution,[],[f2120,f193]) ).
fof(f193,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f84985,plain,
( spl0_938
| ~ spl0_125
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2506,f2119,f2073,f84983]) ).
fof(f84983,plain,
( spl0_938
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X3,or(X4,or(X0,or(X2,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_938])]) ).
fof(f2073,plain,
( spl0_125
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f2506,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X3,or(X4,or(X0,or(X2,X1))))) )
| ~ spl0_125
| ~ spl0_136 ),
inference(resolution,[],[f2120,f2074]) ).
fof(f2074,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(X3)
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f84981,plain,
( spl0_937
| ~ spl0_22
| ~ spl0_589 ),
inference(avatar_split_clause,[],[f45370,f37703,f139,f84979]) ).
fof(f84979,plain,
( spl0_937
<=> ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X2,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_937])]) ).
fof(f37703,plain,
( spl0_589
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(X0),or(X1,or(X2,X0))))
| ~ theorem(or(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f45370,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X2,X0))))
| ~ spl0_22
| ~ spl0_589 ),
inference(resolution,[],[f37704,f140]) ).
fof(f37704,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X2,X3))
| theorem(or(not(X0),or(X1,or(X2,X0)))) )
| ~ spl0_589 ),
inference(avatar_component_clause,[],[f37703]) ).
fof(f84977,plain,
( spl0_936
| ~ spl0_52
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2427,f2111,f361,f84975]) ).
fof(f84975,plain,
( spl0_936
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X2))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_936])]) ).
fof(f2111,plain,
( spl0_134
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f2427,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X2))
| ~ theorem(not(X0)) )
| ~ spl0_52
| ~ spl0_134 ),
inference(resolution,[],[f2112,f362]) ).
fof(f2112,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X1),not(X1))),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f84973,plain,
( spl0_935
| ~ spl0_31
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2421,f2111,f192,f84971]) ).
fof(f84971,plain,
( spl0_935
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,X0))
| ~ theorem(or(X2,or(not(X1),not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_935])]) ).
fof(f2421,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,X0))
| ~ theorem(or(X2,or(not(X1),not(X1)))) )
| ~ spl0_31
| ~ spl0_134 ),
inference(resolution,[],[f2112,f193]) ).
fof(f84969,plain,
( spl0_934
| ~ spl0_125
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2418,f2111,f2073,f84967]) ).
fof(f84967,plain,
( spl0_934
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| ~ theorem(or(not(X1),not(X1)))
| theorem(or(X2,or(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_934])]) ).
fof(f2418,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| ~ theorem(or(not(X1),not(X1)))
| theorem(or(X2,or(X3,X0))) )
| ~ spl0_125
| ~ spl0_134 ),
inference(resolution,[],[f2112,f2074]) ).
fof(f84965,plain,
( spl0_933
| ~ spl0_52
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2416,f2107,f361,f84963]) ).
fof(f84963,plain,
( spl0_933
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),X0),X3))
| ~ theorem(not(or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_933])]) ).
fof(f2416,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),X0),X3))
| ~ theorem(not(or(X2,X1))) )
| ~ spl0_52
| ~ spl0_133 ),
inference(resolution,[],[f2108,f362]) ).
fof(f84961,plain,
( spl0_932
| ~ spl0_51
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2404,f2101,f357,f84959]) ).
fof(f84959,plain,
( spl0_932
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(or(X1,X2),not(or(X1,or(not(X3),X2))))))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_932])]) ).
fof(f2101,plain,
( spl0_132
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f2404,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X1,X2),not(or(X1,or(not(X3),X2))))))
| ~ theorem(X3) )
| ~ spl0_51
| ~ spl0_132 ),
inference(resolution,[],[f2102,f358]) ).
fof(f2102,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f2101]) ).
fof(f84957,plain,
( spl0_931
| ~ spl0_52
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2399,f2101,f361,f84955]) ).
fof(f84955,plain,
( spl0_931
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(or(X2,X3),not(or(X2,or(X0,X3)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_931])]) ).
fof(f2399,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(or(X2,X3),not(or(X2,or(X0,X3)))))) )
| ~ spl0_52
| ~ spl0_132 ),
inference(resolution,[],[f2102,f362]) ).
fof(f84953,plain,
( spl0_930
| ~ spl0_52
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2386,f2097,f361,f84951]) ).
fof(f84951,plain,
( spl0_930
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,not(or(or(X0,X2),or(X0,X2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_930])]) ).
fof(f2097,plain,
( spl0_131
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f2386,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,not(or(or(X0,X2),or(X0,X2)))))) )
| ~ spl0_52
| ~ spl0_131 ),
inference(resolution,[],[f2098,f362]) ).
fof(f2098,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f84949,plain,
( spl0_929
| ~ spl0_52
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2379,f2093,f361,f84947]) ).
fof(f84947,plain,
( spl0_929
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),or(X0,X1))),X2))
| ~ theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_929])]) ).
fof(f2093,plain,
( spl0_130
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f2379,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),or(X0,X1))),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_52
| ~ spl0_130 ),
inference(resolution,[],[f2094,f362]) ).
fof(f2094,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f84945,plain,
( spl0_928
| ~ spl0_31
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2369,f2093,f192,f84943]) ).
fof(f84943,plain,
( spl0_928
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(or(X2,X1),or(X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_928])]) ).
fof(f2369,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(or(X2,X1),or(X2,X1)))) )
| ~ spl0_31
| ~ spl0_130 ),
inference(resolution,[],[f2094,f193]) ).
fof(f84941,plain,
( spl0_927
| ~ spl0_125
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2366,f2093,f2073,f84939]) ).
fof(f84939,plain,
( spl0_927
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(or(X0,X1),or(X0,X1)))
| theorem(or(X2,or(X3,or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_927])]) ).
fof(f2366,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),or(X0,X1)))
| theorem(or(X2,or(X3,or(X1,X0)))) )
| ~ spl0_125
| ~ spl0_130 ),
inference(resolution,[],[f2094,f2074]) ).
fof(f84937,plain,
( spl0_926
| ~ spl0_484
| ~ spl0_588 ),
inference(avatar_split_clause,[],[f45166,f37699,f31374,f84935]) ).
fof(f84935,plain,
( spl0_926
<=> ! [X0,X1] : theorem(not(not(or(or(not(X0),X0),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_926])]) ).
fof(f31374,plain,
( spl0_484
<=> ! [X2,X1] :
( theorem(X1)
| ~ theorem(or(not(or(not(X2),X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f37699,plain,
( spl0_588
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,not(or(or(not(X1),X1),X2)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f45166,plain,
( ! [X0,X1] : theorem(not(not(or(or(not(X0),X0),X1))))
| ~ spl0_484
| ~ spl0_588 ),
inference(resolution,[],[f37700,f31375]) ).
fof(f31375,plain,
( ! [X2,X1] :
( ~ theorem(or(not(or(not(X2),X2)),X1))
| theorem(X1) )
| ~ spl0_484 ),
inference(avatar_component_clause,[],[f31374]) ).
fof(f37700,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,not(or(or(not(X1),X1),X2)))),X0))
| ~ spl0_588 ),
inference(avatar_component_clause,[],[f37699]) ).
fof(f84933,plain,
( spl0_925
| ~ spl0_52
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2364,f2089,f361,f84931]) ).
fof(f84931,plain,
( spl0_925
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(X1,X2))),X3))
| ~ theorem(not(or(or(X0,X2),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_925])]) ).
fof(f2364,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),X3))
| ~ theorem(not(or(or(X0,X2),X1))) )
| ~ spl0_52
| ~ spl0_129 ),
inference(resolution,[],[f2090,f362]) ).
fof(f84929,plain,
( spl0_924
| ~ spl0_31
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2354,f2089,f192,f84927]) ).
fof(f84927,plain,
( spl0_924
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(or(X1,X2),X3)))
| ~ theorem(or(X0,or(X1,or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_924])]) ).
fof(f2354,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X1,X2),X3)))
| ~ theorem(or(X0,or(X1,or(X3,X2)))) )
| ~ spl0_31
| ~ spl0_129 ),
inference(resolution,[],[f2090,f193]) ).
fof(f84925,plain,
( spl0_923
| ~ spl0_125
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2351,f2089,f2073,f84923]) ).
fof(f84923,plain,
( spl0_923
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X4,or(or(X0,X2),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_923])]) ).
fof(f2351,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X4,or(or(X0,X2),X1)))) )
| ~ spl0_125
| ~ spl0_129 ),
inference(resolution,[],[f2090,f2074]) ).
fof(f84921,plain,
( spl0_922
| ~ spl0_98
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2339,f2085,f1037,f84919]) ).
fof(f84919,plain,
( spl0_922
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(or(not(or(X0,or(X1,X1))),X0)))
| theorem(or(or(X2,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_922])]) ).
fof(f1037,plain,
( spl0_98
<=> ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f2085,plain,
( spl0_128
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f2339,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(not(or(X0,or(X1,X1))),X0)))
| theorem(or(or(X2,X1),X3)) )
| ~ spl0_98
| ~ spl0_128 ),
inference(resolution,[],[f2086,f1038]) ).
fof(f1038,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f2086,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X3,X1))
| ~ theorem(not(X3))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f2085]) ).
fof(f84917,plain,
( spl0_921
| ~ spl0_97
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2301,f2085,f1033,f84915]) ).
fof(f84915,plain,
( spl0_921
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(or(or(X0,X0),or(X0,X0)))))
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_921])]) ).
fof(f2301,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(or(or(X0,X0),or(X0,X0)))))
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_97
| ~ spl0_128 ),
inference(resolution,[],[f2086,f1034]) ).
fof(f84913,plain,
( spl0_920
| ~ spl0_104
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2293,f2085,f1706,f84911]) ).
fof(f84911,plain,
( spl0_920
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(or(X2,or(X0,or(X3,X1))),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_920])]) ).
fof(f2293,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(or(X2,or(X0,or(X3,X1))),X4)) )
| ~ spl0_104
| ~ spl0_128 ),
inference(resolution,[],[f2086,f1707]) ).
fof(f84909,plain,
( spl0_919
| ~ spl0_31
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2262,f2077,f192,f84907]) ).
fof(f84907,plain,
( spl0_919
<=> ! [X0,X3,X2,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(or(X2,X3))
| ~ theorem(or(X2,or(X0,not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_919])]) ).
fof(f2262,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(or(X2,X3))
| ~ theorem(or(X2,or(X0,not(X1)))) )
| ~ spl0_31
| ~ spl0_126 ),
inference(resolution,[],[f2078,f193]) ).
fof(f84905,plain,
( spl0_918
| ~ spl0_124
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2216,f2073,f2069,f84903]) ).
fof(f84903,plain,
( spl0_918
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X2,or(X3,or(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_918])]) ).
fof(f2216,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X2,or(X3,or(X0,X1)))) )
| ~ spl0_124
| ~ spl0_125 ),
inference(resolution,[],[f2074,f2070]) ).
fof(f84901,plain,
( spl0_917
| ~ spl0_12
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2212,f2073,f71,f84899]) ).
fof(f84899,plain,
( spl0_917
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X4,or(X1,or(X0,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_917])]) ).
fof(f71,plain,
( spl0_12
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2212,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X4,or(X1,or(X0,X2))))) )
| ~ spl0_12
| ~ spl0_125 ),
inference(resolution,[],[f2074,f72]) ).
fof(f72,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f84897,plain,
( spl0_916
| ~ spl0_52
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2200,f2069,f361,f84895]) ).
fof(f84895,plain,
( spl0_916
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(or(X0,X1),X1))),X2))
| ~ theorem(not(or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_916])]) ).
fof(f2200,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(or(X0,X1),X1))),X2))
| ~ theorem(not(or(X0,X1))) )
| ~ spl0_52
| ~ spl0_124 ),
inference(resolution,[],[f2070,f362]) ).
fof(f84893,plain,
( spl0_915
| ~ spl0_425
| ~ spl0_503 ),
inference(avatar_split_clause,[],[f37050,f31757,f28085,f84891]) ).
fof(f84891,plain,
( spl0_915
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X1)
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_915])]) ).
fof(f28085,plain,
( spl0_425
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f31757,plain,
( spl0_503
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f37050,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X1)
| ~ theorem(not(X0)) )
| ~ spl0_425
| ~ spl0_503 ),
inference(resolution,[],[f31758,f28086]) ).
fof(f28086,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(or(X2,X0)),X1))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_425 ),
inference(avatar_component_clause,[],[f28085]) ).
fof(f31758,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X0)) )
| ~ spl0_503 ),
inference(avatar_component_clause,[],[f31757]) ).
fof(f84889,plain,
( spl0_914
| ~ spl0_31
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2191,f2069,f192,f84887]) ).
fof(f84887,plain,
( spl0_914
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X1,or(or(X1,X2),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_914])]) ).
fof(f2191,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X1,or(or(X1,X2),X2)))) )
| ~ spl0_31
| ~ spl0_124 ),
inference(resolution,[],[f2070,f193]) ).
fof(f84885,plain,
( spl0_913
| ~ spl0_51
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2138,f2056,f357,f84883]) ).
fof(f84883,plain,
( spl0_913
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(or(not(or(X1,or(not(X2),X3))),X1),X3)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_913])]) ).
fof(f2138,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(not(or(X1,or(not(X2),X3))),X1),X3)))
| ~ theorem(X2) )
| ~ spl0_51
| ~ spl0_121 ),
inference(resolution,[],[f2057,f358]) ).
fof(f84881,plain,
( spl0_912
| ~ spl0_52
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2134,f2056,f361,f84879]) ).
fof(f84879,plain,
( spl0_912
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(or(not(or(X2,or(X0,X3))),X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_912])]) ).
fof(f2134,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(or(not(or(X2,or(X0,X3))),X2),X3))) )
| ~ spl0_52
| ~ spl0_121 ),
inference(resolution,[],[f2057,f362]) ).
fof(f84877,plain,
( spl0_911
| ~ spl0_109
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2008,f1847,f1811,f84875]) ).
fof(f84875,plain,
( spl0_911
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(or(X0,X0),X1))
| theorem(or(or(X2,or(X3,or(X4,X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_911])]) ).
fof(f1847,plain,
( spl0_118
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f2008,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(or(X0,X0),X1))
| theorem(or(or(X2,or(X3,or(X4,X1))),X0)) )
| ~ spl0_109
| ~ spl0_118 ),
inference(resolution,[],[f1848,f1812]) ).
fof(f1848,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X2,or(X3,X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f84873,plain,
( spl0_910
| ~ spl0_79
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2003,f1847,f782,f84871]) ).
fof(f84871,plain,
( spl0_910
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X3,or(X0,or(X1,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_910])]) ).
fof(f2003,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X3,or(X0,or(X1,X2)))) )
| ~ spl0_79
| ~ spl0_118 ),
inference(resolution,[],[f1848,f783]) ).
fof(f84869,plain,
( spl0_909
| ~ spl0_100
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1996,f1843,f1046,f84867]) ).
fof(f84867,plain,
( spl0_909
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X0)))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_909])]) ).
fof(f1046,plain,
( spl0_100
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1843,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1996,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X0)))))
| ~ theorem(X0) )
| ~ spl0_100
| ~ spl0_117 ),
inference(resolution,[],[f1844,f1047]) ).
fof(f1047,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,not(X2)))
| theorem(or(X0,X1))
| ~ theorem(X2) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1844,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X1),X0)),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f84865,plain,
( spl0_908
| ~ spl0_50
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1994,f1843,f322,f84863]) ).
fof(f84863,plain,
( spl0_908
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X0),X1))
| theorem(or(not(or(not(X1),or(X0,X0))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_908])]) ).
fof(f1994,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X0),X1))
| theorem(or(not(or(not(X1),or(X0,X0))),X0)) )
| ~ spl0_50
| ~ spl0_117 ),
inference(resolution,[],[f1844,f323]) ).
fof(f84861,plain,
( spl0_907
| ~ spl0_100
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1982,f1839,f1046,f84859]) ).
fof(f84859,plain,
( spl0_907
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(not(X2),or(not(X0),not(X2))))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_907])]) ).
fof(f1982,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(not(X2),or(not(X0),not(X2))))))
| ~ theorem(X2) )
| ~ spl0_100
| ~ spl0_116 ),
inference(resolution,[],[f1840,f1047]) ).
fof(f84857,plain,
( spl0_906
| ~ spl0_50
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1980,f1839,f322,f84855]) ).
fof(f84855,plain,
( spl0_906
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(X1,X1),or(not(X0),or(X1,X1)))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_906])]) ).
fof(f1980,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(X1,X1),or(not(X0),or(X1,X1)))),X1)) )
| ~ spl0_50
| ~ spl0_116 ),
inference(resolution,[],[f1840,f323]) ).
fof(f84853,plain,
( spl0_905
| ~ spl0_67
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1926,f1815,f590,f84851]) ).
fof(f84851,plain,
( spl0_905
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(not(or(or(X2,X3),not(X0))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_905])]) ).
fof(f1815,plain,
( spl0_110
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1926,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(not(or(or(X2,X3),not(X0))),X3)))) )
| ~ spl0_67
| ~ spl0_110 ),
inference(resolution,[],[f1816,f591]) ).
fof(f1816,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1815]) ).
fof(f84849,plain,
( spl0_904
| ~ spl0_368
| ~ spl0_501 ),
inference(avatar_split_clause,[],[f36723,f31749,f25332,f84847]) ).
fof(f84847,plain,
( spl0_904
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,X0)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_904])]) ).
fof(f25332,plain,
( spl0_368
<=> ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f31749,plain,
( spl0_501
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f36723,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X0)),X1)))
| ~ spl0_368
| ~ spl0_501 ),
inference(resolution,[],[f31750,f25333]) ).
fof(f25333,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0)))
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f25332]) ).
fof(f31750,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,X0)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_501 ),
inference(avatar_component_clause,[],[f31749]) ).
fof(f84845,plain,
( spl0_903
| ~ spl0_100
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1879,f1807,f1046,f84843]) ).
fof(f84843,plain,
( spl0_903
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X2),not(X2)),not(X0)))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_903])]) ).
fof(f1879,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X2),not(X2)),not(X0)))))
| ~ theorem(X2) )
| ~ spl0_100
| ~ spl0_108 ),
inference(resolution,[],[f1808,f1047]) ).
fof(f84841,plain,
( spl0_902
| ~ spl0_50
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1877,f1807,f322,f84839]) ).
fof(f84839,plain,
( spl0_902
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(or(X1,X1),or(X1,X1)),not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_902])]) ).
fof(f1877,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(or(X1,X1),or(X1,X1)),not(X0))),X1)) )
| ~ spl0_50
| ~ spl0_108 ),
inference(resolution,[],[f1808,f323]) ).
fof(f84837,plain,
( spl0_901
| ~ spl0_100
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1866,f1803,f1046,f84835]) ).
fof(f84835,plain,
( spl0_901
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(or(X2,not(or(not(X1),X0))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_901])]) ).
fof(f1866,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(or(X2,not(or(not(X1),X0))))
| ~ theorem(X1) )
| ~ spl0_100
| ~ spl0_107 ),
inference(resolution,[],[f1804,f1047]) ).
fof(f84833,plain,
( spl0_900
| ~ spl0_50
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1864,f1803,f322,f84831]) ).
fof(f84831,plain,
( spl0_900
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),or(X1,X1)))
| theorem(or(not(or(or(X1,X1),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_900])]) ).
fof(f1864,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),or(X1,X1)))
| theorem(or(not(or(or(X1,X1),X0)),X1)) )
| ~ spl0_50
| ~ spl0_107 ),
inference(resolution,[],[f1804,f323]) ).
fof(f84829,plain,
( spl0_899
| ~ spl0_68
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1790,f1710,f623,f84827]) ).
fof(f84827,plain,
( spl0_899
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(or(not(or(X1,X3)),X3)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_899])]) ).
fof(f623,plain,
( spl0_68
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X1,X3)))
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1710,plain,
( spl0_105
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1790,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(or(not(or(X1,X3)),X3)),X2)) )
| ~ spl0_68
| ~ spl0_105 ),
inference(resolution,[],[f1711,f624]) ).
fof(f624,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f1711,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f84825,plain,
( spl0_898
| ~ spl0_68
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1783,f1706,f623,f84823]) ).
fof(f84823,plain,
( spl0_898
<=> ! [X2,X0,X1,X3] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(or(X3,X1)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_898])]) ).
fof(f1783,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(or(X3,X1)),X2)) )
| ~ spl0_68
| ~ spl0_104 ),
inference(resolution,[],[f1707,f624]) ).
fof(f84821,plain,
( spl0_897
| ~ spl0_63
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1778,f1706,f526,f84819]) ).
fof(f84819,plain,
( spl0_897
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X1,or(X4,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_897])]) ).
fof(f526,plain,
( spl0_63
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X3))
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1778,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X1,or(X4,X2))))) )
| ~ spl0_63
| ~ spl0_104 ),
inference(resolution,[],[f1707,f527]) ).
fof(f527,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(or(X0,X3))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f84817,plain,
( spl0_896
| ~ spl0_63
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1713,f1033,f526,f84815]) ).
fof(f84815,plain,
( spl0_896
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X1),or(X1,X1))))
| theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_896])]) ).
fof(f1713,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X1),or(X1,X1))))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_63
| ~ spl0_97 ),
inference(resolution,[],[f1034,f527]) ).
fof(f84813,plain,
( spl0_895
| ~ spl0_63
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f897,f847,f526,f84811]) ).
fof(f84811,plain,
( spl0_895
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,not(or(X3,not(X1))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_895])]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,not(or(X3,not(X1))))))) )
| ~ spl0_63
| ~ spl0_84 ),
inference(resolution,[],[f848,f527]) ).
fof(f84809,plain,
( spl0_894
| ~ spl0_65
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f877,f843,f535,f84807]) ).
fof(f84807,plain,
( spl0_894
<=> ! [X2,X0,X1] :
( theorem(not(or(not(X0),X1)))
| ~ theorem(X2)
| ~ theorem(or(not(X1),not(X2)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_894])]) ).
fof(f535,plain,
( spl0_65
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f843,plain,
( spl0_83
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f877,plain,
( ! [X2,X0,X1] :
( theorem(not(or(not(X0),X1)))
| ~ theorem(X2)
| ~ theorem(or(not(X1),not(X2)))
| ~ theorem(X0) )
| ~ spl0_65
| ~ spl0_83 ),
inference(resolution,[],[f844,f536]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(X2) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f844,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,not(X0)))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f84805,plain,
( spl0_893
| ~ spl0_336
| ~ spl0_501 ),
inference(avatar_split_clause,[],[f36708,f31749,f21884,f84803]) ).
fof(f84803,plain,
( spl0_893
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(X0),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_893])]) ).
fof(f21884,plain,
( spl0_336
<=> ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f36708,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(X0),X2)))
| ~ spl0_336
| ~ spl0_501 ),
inference(resolution,[],[f31750,f21885]) ).
fof(f21885,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2))))
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f21884]) ).
fof(f84801,plain,
( spl0_892
| ~ spl0_63
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f850,f835,f526,f84799]) ).
fof(f84799,plain,
( spl0_892
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(not(X1),X3)),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_892])]) ).
fof(f850,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(not(X1),X3)),X3)))) )
| ~ spl0_63
| ~ spl0_81 ),
inference(resolution,[],[f836,f527]) ).
fof(f83227,plain,
( spl0_891
| ~ spl0_112
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f34398,f31254,f1823,f83225]) ).
fof(f83225,plain,
( spl0_891
<=> ! [X2,X0,X1] : theorem(or(or(or(X0,not(X0)),X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_891])]) ).
fof(f1823,plain,
( spl0_112
<=> ! [X0,X1] : theorem(or(or(X0,not(X0)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f31254,plain,
( spl0_475
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f34398,plain,
( ! [X2,X0,X1] : theorem(or(or(or(X0,not(X0)),X1),X2))
| ~ spl0_112
| ~ spl0_475 ),
inference(resolution,[],[f31255,f1824]) ).
fof(f1824,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f31255,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_475 ),
inference(avatar_component_clause,[],[f31254]) ).
fof(f81488,plain,
( spl0_890
| ~ spl0_368
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f34206,f31254,f25332,f81486]) ).
fof(f81486,plain,
( spl0_890
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X0)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_890])]) ).
fof(f34206,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X0)),X0),X1))
| ~ spl0_368
| ~ spl0_475 ),
inference(resolution,[],[f31255,f25333]) ).
fof(f80207,plain,
( spl0_889
| ~ spl0_336
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f34191,f31254,f21884,f80205]) ).
fof(f80205,plain,
( spl0_889
<=> ! [X2,X0,X1] : theorem(or(or(not(X0),or(X0,X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_889])]) ).
fof(f34191,plain,
( ! [X2,X0,X1] : theorem(or(or(not(X0),or(X0,X1)),X2))
| ~ spl0_336
| ~ spl0_475 ),
inference(resolution,[],[f31255,f21885]) ).
fof(f78167,plain,
( spl0_888
| ~ spl0_361
| ~ spl0_452 ),
inference(avatar_split_clause,[],[f32768,f31162,f25102,f78165]) ).
fof(f78165,plain,
( spl0_888
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_888])]) ).
fof(f25102,plain,
( spl0_361
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f31162,plain,
( spl0_452
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f32768,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X1)))))
| ~ spl0_361
| ~ spl0_452 ),
inference(resolution,[],[f31163,f25103]) ).
fof(f25103,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1))
| ~ spl0_361 ),
inference(avatar_component_clause,[],[f25102]) ).
fof(f31163,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X0,X1))) )
| ~ spl0_452 ),
inference(avatar_component_clause,[],[f31162]) ).
fof(f76833,plain,
( spl0_887
| ~ spl0_40
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f31996,f31118,f268,f76831]) ).
fof(f76831,plain,
( spl0_887
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(not(not(X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_887])]) ).
fof(f31118,plain,
( spl0_441
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(not(X1)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f31996,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(not(not(X1))))))
| ~ spl0_40
| ~ spl0_441 ),
inference(resolution,[],[f31119,f269]) ).
fof(f31119,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(not(X1)),X2))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f31118]) ).
fof(f75609,plain,
( spl0_886
| ~ spl0_75
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f31982,f31118,f744,f75607]) ).
fof(f75607,plain,
( spl0_886
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X1),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_886])]) ).
fof(f31982,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X1),X2))))
| ~ spl0_75
| ~ spl0_441 ),
inference(resolution,[],[f31119,f745]) ).
fof(f73090,plain,
( spl0_885
| ~ spl0_106
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f31637,f31535,f1726,f73088]) ).
fof(f73088,plain,
( spl0_885
<=> ! [X0,X1] : theorem(or(X0,not(not(or(X1,not(X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_885])]) ).
fof(f1726,plain,
( spl0_106
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f31535,plain,
( spl0_485
<=> ! [X2,X1] :
( theorem(X1)
| ~ theorem(or(not(or(X2,not(X2))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f31637,plain,
( ! [X0,X1] : theorem(or(X0,not(not(or(X1,not(X1))))))
| ~ spl0_106
| ~ spl0_485 ),
inference(resolution,[],[f31536,f1727]) ).
fof(f1727,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f31536,plain,
( ! [X2,X1] :
( ~ theorem(or(not(or(X2,not(X2))),X1))
| theorem(X1) )
| ~ spl0_485 ),
inference(avatar_component_clause,[],[f31535]) ).
fof(f71095,plain,
( spl0_884
| ~ spl0_85
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f31605,f31535,f907,f71093]) ).
fof(f71093,plain,
( spl0_884
<=> ! [X0,X1] : theorem(or(not(not(or(X0,not(X0)))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_884])]) ).
fof(f31605,plain,
( ! [X0,X1] : theorem(or(not(not(or(X0,not(X0)))),X1))
| ~ spl0_85
| ~ spl0_485 ),
inference(resolution,[],[f31536,f908]) ).
fof(f69183,plain,
( spl0_883
| ~ spl0_106
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f31483,f31374,f1726,f69181]) ).
fof(f69181,plain,
( spl0_883
<=> ! [X0,X1] : theorem(or(X0,not(not(or(not(X1),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_883])]) ).
fof(f31483,plain,
( ! [X0,X1] : theorem(or(X0,not(not(or(not(X1),X1)))))
| ~ spl0_106
| ~ spl0_484 ),
inference(resolution,[],[f31375,f1727]) ).
fof(f67164,plain,
( spl0_882
| ~ spl0_85
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f31451,f31374,f907,f67162]) ).
fof(f67162,plain,
( spl0_882
<=> ! [X0,X1] : theorem(or(not(not(or(not(X0),X0))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_882])]) ).
fof(f31451,plain,
( ! [X0,X1] : theorem(or(not(not(or(not(X0),X0))),X1))
| ~ spl0_85
| ~ spl0_484 ),
inference(resolution,[],[f31375,f908]) ).
fof(f65658,plain,
( spl0_881
| ~ spl0_50
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f31086,f28126,f322,f65656]) ).
fof(f65656,plain,
( spl0_881
<=> ! [X0] : theorem(or(not(or(not(not(X0)),X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_881])]) ).
fof(f28126,plain,
( spl0_435
<=> ! [X0,X1] : theorem(or(not(or(not(not(X0)),X1)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f31086,plain,
( ! [X0] : theorem(or(not(or(not(not(X0)),X0)),X0))
| ~ spl0_50
| ~ spl0_435 ),
inference(resolution,[],[f28127,f323]) ).
fof(f28127,plain,
( ! [X0,X1] : theorem(or(not(or(not(not(X0)),X1)),or(X0,X1)))
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f28126]) ).
fof(f63731,plain,
( spl0_880
| ~ spl0_50
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f28774,f28017,f322,f63729]) ).
fof(f63729,plain,
( spl0_880
<=> ! [X0] : theorem(or(not(or(or(X0,X0),X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_880])]) ).
fof(f28017,plain,
( spl0_409
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f28774,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),X0)),X0))
| ~ spl0_50
| ~ spl0_409 ),
inference(resolution,[],[f28018,f323]) ).
fof(f28018,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1)))
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f28017]) ).
fof(f61634,plain,
( spl0_879
| ~ spl0_182
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f27670,f26373,f3774,f61632]) ).
fof(f61632,plain,
( spl0_879
<=> ! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,not(not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_879])]) ).
fof(f26373,plain,
( spl0_394
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f27670,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,not(not(X0))))) )
| ~ spl0_182
| ~ spl0_394 ),
inference(resolution,[],[f26374,f3775]) ).
fof(f26374,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X2,not(not(X0)))))
| ~ theorem(X0) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f26373]) ).
fof(f61507,plain,
( spl0_878
| ~ spl0_21
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f25041,f24934,f135,f61505]) ).
fof(f61505,plain,
( spl0_878
<=> ! [X0] : theorem(or(not(or(or(not(not(X0)),X0),or(not(not(X0)),X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_878])]) ).
fof(f24934,plain,
( spl0_360
<=> ! [X0,X1] :
( ~ theorem(or(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1),X0))
| theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f25041,plain,
( ! [X0] : theorem(or(not(or(or(not(not(X0)),X0),or(not(not(X0)),X0))),X0))
| ~ spl0_21
| ~ spl0_360 ),
inference(resolution,[],[f24935,f136]) ).
fof(f24935,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1),X0))
| theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1)) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f24934]) ).
fof(f61503,plain,
( spl0_877
| ~ spl0_76
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f24329,f24205,f748,f61501]) ).
fof(f61501,plain,
( spl0_877
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(not(or(X1,not(X1))),X2))),or(X0,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_877])]) ).
fof(f24205,plain,
( spl0_352
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(X0,or(not(X1),X2))),or(X0,X2)),X1))
| theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f24329,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(not(or(X1,not(X1))),X2))),or(X0,X2)))
| ~ spl0_76
| ~ spl0_352 ),
inference(resolution,[],[f24206,f749]) ).
fof(f24206,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(X0,or(not(X1),X2))),or(X0,X2)),X1))
| theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2))) )
| ~ spl0_352 ),
inference(avatar_component_clause,[],[f24205]) ).
fof(f61499,plain,
( spl0_876
| ~ spl0_23
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f24306,f24205,f143,f61497]) ).
fof(f61497,plain,
( spl0_876
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(not(or(not(X1),X1)),X2))),or(X0,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_876])]) ).
fof(f24306,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(not(or(not(X1),X1)),X2))),or(X0,X2)))
| ~ spl0_23
| ~ spl0_352 ),
inference(resolution,[],[f24206,f144]) ).
fof(f61495,plain,
( spl0_875
| ~ spl0_21
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f24298,f24205,f135,f61493]) ).
fof(f61493,plain,
( spl0_875
<=> ! [X0,X1] : theorem(or(not(or(X0,or(not(not(or(X0,X1))),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_875])]) ).
fof(f24298,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(not(not(or(X0,X1))),X1))),or(X0,X1)))
| ~ spl0_21
| ~ spl0_352 ),
inference(resolution,[],[f24206,f136]) ).
fof(f61491,plain,
( spl0_874
| ~ spl0_105
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f23124,f22892,f1710,f61489]) ).
fof(f61489,plain,
( spl0_874
<=> ! [X2,X0,X1] : theorem(or(not(or(not(or(not(or(X0,X1)),X1)),X2)),or(X0,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_874])]) ).
fof(f22892,plain,
( spl0_340
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),or(X2,X0)))
| theorem(or(not(or(not(X0),X1)),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f23124,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(or(not(or(X0,X1)),X1)),X2)),or(X0,X2)))
| ~ spl0_105
| ~ spl0_340 ),
inference(resolution,[],[f22893,f1711]) ).
fof(f22893,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),or(X2,X0)))
| theorem(or(not(or(not(X0),X1)),or(X2,X1))) )
| ~ spl0_340 ),
inference(avatar_component_clause,[],[f22892]) ).
fof(f61487,plain,
( spl0_873
| ~ spl0_82
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f21409,f21212,f839,f61485]) ).
fof(f61485,plain,
( spl0_873
<=> ! [X2,X0,X1,X3] : theorem(or(X0,or(not(or(X1,not(or(or(not(X2),X2),X3)))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_873])]) ).
fof(f839,plain,
( spl0_82
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f21409,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(or(not(X2),X2),X3)))),X1)))
| ~ spl0_82
| ~ spl0_318 ),
inference(resolution,[],[f21213,f840]) ).
fof(f840,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f61483,plain,
( spl0_872
| ~ spl0_20
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f21209,f20410,f125,f61481]) ).
fof(f61481,plain,
( spl0_872
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(or(not(X1),X2))))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_872])]) ).
fof(f125,plain,
( spl0_20
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f20410,plain,
( spl0_315
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(or(X2,X1))
| theorem(or(X2,not(or(not(X1),X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f21209,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(or(not(X1),X2))))
| ~ theorem(not(X2)) )
| ~ spl0_20
| ~ spl0_315 ),
inference(resolution,[],[f20411,f126]) ).
fof(f126,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f20411,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(or(X2,X1))
| theorem(or(X2,not(or(not(X1),X0)))) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f20410]) ).
fof(f61479,plain,
( spl0_871
| ~ spl0_76
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f19932,f19337,f748,f61477]) ).
fof(f61477,plain,
( spl0_871
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| ~ theorem(or(not(not(not(X0))),X1))
| theorem(or(X2,or(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_871])]) ).
fof(f19337,plain,
( spl0_299
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| ~ theorem(or(X3,or(not(X2),X0)))
| theorem(or(X3,or(X4,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f19932,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| ~ theorem(or(not(not(not(X0))),X1))
| theorem(or(X2,or(X3,X1))) )
| ~ spl0_76
| ~ spl0_299 ),
inference(resolution,[],[f19338,f749]) ).
fof(f19338,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X3,or(not(X2),X0)))
| ~ theorem(X2)
| ~ theorem(or(not(X0),X1))
| theorem(or(X3,or(X4,X1))) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f19337]) ).
fof(f61475,plain,
( spl0_870
| ~ spl0_26
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f19901,f19337,f163,f61473]) ).
fof(f61473,plain,
( spl0_870
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| ~ theorem(or(not(X0),X2))
| theorem(or(X1,or(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_870])]) ).
fof(f19901,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| ~ theorem(or(not(X0),X2))
| theorem(or(X1,or(X3,X2))) )
| ~ spl0_26
| ~ spl0_299 ),
inference(resolution,[],[f19338,f164]) ).
fof(f61471,plain,
( spl0_869
| ~ spl0_182
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f27314,f26348,f3774,f61469]) ).
fof(f61469,plain,
( spl0_869
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,or(X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_869])]) ).
fof(f26348,plain,
( spl0_388
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f27314,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,or(X2,X0)))) )
| ~ spl0_182
| ~ spl0_388 ),
inference(resolution,[],[f26349,f3775]) ).
fof(f26349,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f26348]) ).
fof(f61467,plain,
( spl0_868
| ~ spl0_76
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f19411,f19263,f748,f61465]) ).
fof(f61465,plain,
( spl0_868
<=> ! [X0,X1] : theorem(or(X0,not(or(not(or(X1,not(X1))),not(or(X1,not(X1))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_868])]) ).
fof(f19263,plain,
( spl0_293
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,not(or(not(X1),not(X1)))),X1))
| theorem(or(X0,not(or(not(X1),not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f19411,plain,
( ! [X0,X1] : theorem(or(X0,not(or(not(or(X1,not(X1))),not(or(X1,not(X1)))))))
| ~ spl0_76
| ~ spl0_293 ),
inference(resolution,[],[f19264,f749]) ).
fof(f19264,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,not(or(not(X1),not(X1)))),X1))
| theorem(or(X0,not(or(not(X1),not(X1))))) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f19263]) ).
fof(f61463,plain,
( spl0_867
| ~ spl0_23
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f19390,f19263,f143,f61461]) ).
fof(f61461,plain,
( spl0_867
<=> ! [X0,X1] : theorem(or(X0,not(or(not(or(not(X1),X1)),not(or(not(X1),X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_867])]) ).
fof(f19390,plain,
( ! [X0,X1] : theorem(or(X0,not(or(not(or(not(X1),X1)),not(or(not(X1),X1))))))
| ~ spl0_23
| ~ spl0_293 ),
inference(resolution,[],[f19264,f144]) ).
fof(f61459,plain,
( spl0_866
| ~ spl0_44
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f7358,f6706,f286,f61457]) ).
fof(f61457,plain,
( spl0_866
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,X4))
| ~ theorem(not(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_866])]) ).
fof(f286,plain,
( spl0_44
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f7358,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,X4))
| ~ theorem(not(X4)) )
| ~ spl0_44
| ~ spl0_265 ),
inference(resolution,[],[f6707,f287]) ).
fof(f287,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(X0) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f61455,plain,
( spl0_865
| ~ spl0_159
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f5897,f5188,f2627,f61453]) ).
fof(f61453,plain,
( spl0_865
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(X0,X2))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_865])]) ).
fof(f2627,plain,
( spl0_159
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f5897,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(X0,X2))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_159
| ~ spl0_229 ),
inference(resolution,[],[f5189,f2628]) ).
fof(f2628,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(X0),X1),or(not(X0),X1)))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f61451,plain,
( spl0_864
| ~ spl0_40
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f5844,f5184,f268,f61449]) ).
fof(f61449,plain,
( spl0_864
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(not(not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_864])]) ).
fof(f5184,plain,
( spl0_228
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X3))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f5844,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(not(not(X1)))) )
| ~ spl0_40
| ~ spl0_228 ),
inference(resolution,[],[f5185,f269]) ).
fof(f5185,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f5184]) ).
fof(f61447,plain,
( spl0_863
| ~ spl0_75
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f5796,f5184,f744,f61445]) ).
fof(f61445,plain,
( spl0_863
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_863])]) ).
fof(f5796,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(or(X1,X3))) )
| ~ spl0_75
| ~ spl0_228 ),
inference(resolution,[],[f5185,f745]) ).
fof(f61443,plain,
( spl0_862
| ~ spl0_7
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f5795,f5184,f46,f61441]) ).
fof(f61441,plain,
( spl0_862
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(or(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_862])]) ).
fof(f5795,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(or(X3,X1))) )
| ~ spl0_7
| ~ spl0_228 ),
inference(resolution,[],[f5185,f47]) ).
fof(f61439,plain,
( spl0_861
| ~ spl0_84
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f5752,f5180,f847,f61437]) ).
fof(f61437,plain,
( spl0_861
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(not(or(not(X0),X1))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_861])]) ).
fof(f5180,plain,
( spl0_227
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(X3,or(not(X2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f5752,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(not(or(not(X0),X1))),X2)) )
| ~ spl0_84
| ~ spl0_227 ),
inference(resolution,[],[f5181,f848]) ).
fof(f5181,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X3,or(not(X2),X0)))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f5180]) ).
fof(f61435,plain,
( spl0_860
| ~ spl0_78
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f5620,f5172,f778,f61433]) ).
fof(f61433,plain,
( spl0_860
<=> ! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(X1))
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_860])]) ).
fof(f5620,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(X1))
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) )
| ~ spl0_78
| ~ spl0_225 ),
inference(resolution,[],[f5173,f779]) ).
fof(f61431,plain,
( spl0_859
| ~ spl0_162
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f5568,f5168,f2639,f61429]) ).
fof(f61429,plain,
( spl0_859
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,or(or(not(X2),X1),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_859])]) ).
fof(f5568,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,or(or(not(X2),X1),X1))) )
| ~ spl0_162
| ~ spl0_224 ),
inference(resolution,[],[f5169,f2640]) ).
fof(f61427,plain,
( spl0_858
| ~ spl0_182
| ~ spl0_375 ),
inference(avatar_split_clause,[],[f26468,f26296,f3774,f61425]) ).
fof(f61425,plain,
( spl0_858
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(or(X0,X1),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_858])]) ).
fof(f26296,plain,
( spl0_375
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(or(X0,X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f26468,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(or(X0,X1),X2))) )
| ~ spl0_182
| ~ spl0_375 ),
inference(resolution,[],[f26297,f3775]) ).
fof(f26297,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X1,or(or(X0,X2),X3)))
| ~ theorem(X0) )
| ~ spl0_375 ),
inference(avatar_component_clause,[],[f26296]) ).
fof(f61423,plain,
( spl0_857
| ~ spl0_142
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f5566,f5168,f2558,f61421]) ).
fof(f61421,plain,
( spl0_857
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(X0,or(not(X2),X1)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_857])]) ).
fof(f5566,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(X0,or(not(X2),X1)),X1)) )
| ~ spl0_142
| ~ spl0_224 ),
inference(resolution,[],[f5169,f2559]) ).
fof(f61419,plain,
( spl0_856
| ~ spl0_136
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f5564,f5168,f2119,f61417]) ).
fof(f61417,plain,
( spl0_856
<=> ! [X0,X1] :
( theorem(or(not(or(or(or(not(X0),X1),X1),not(X0))),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_856])]) ).
fof(f5564,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(or(not(X0),X1),X1),not(X0))),X1))
| ~ theorem(X0) )
| ~ spl0_136
| ~ spl0_224 ),
inference(resolution,[],[f5169,f2120]) ).
fof(f61415,plain,
( spl0_855
| ~ spl0_105
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5481,f5156,f1710,f61413]) ).
fof(f61413,plain,
( spl0_855
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,not(or(X1,or(not(or(X1,X2)),X2))))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_855])]) ).
fof(f5481,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,not(or(X1,or(not(or(X1,X2)),X2))))),X0))
| ~ spl0_105
| ~ spl0_221 ),
inference(resolution,[],[f5157,f1711]) ).
fof(f61411,plain,
( spl0_854
| ~ spl0_10
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f5342,f5152,f60,f61409]) ).
fof(f61409,plain,
( spl0_854
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_854])]) ).
fof(f5152,plain,
( spl0_220
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f5342,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,or(X1,X1))) )
| ~ spl0_10
| ~ spl0_220 ),
inference(resolution,[],[f5153,f61]) ).
fof(f5153,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f5152]) ).
fof(f61407,plain,
( spl0_853
| ~ spl0_159
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f5316,f5130,f2627,f61405]) ).
fof(f61405,plain,
( spl0_853
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(or(not(X0),X1))))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_853])]) ).
fof(f5316,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(or(not(X0),X1))))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_159
| ~ spl0_219 ),
inference(resolution,[],[f5131,f2628]) ).
fof(f61403,plain,
( spl0_852
| ~ spl0_89
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5067,f4445,f923,f61401]) ).
fof(f61401,plain,
( spl0_852
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(X1,X1))),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_852])]) ).
fof(f923,plain,
( spl0_89
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f5067,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(X1,X1))),X2))
| ~ theorem(not(X1)) )
| ~ spl0_89
| ~ spl0_214 ),
inference(resolution,[],[f4446,f924]) ).
fof(f924,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f61399,plain,
( spl0_851
| ~ spl0_111
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f5034,f4441,f1819,f61397]) ).
fof(f61397,plain,
( spl0_851
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),or(X1,X2))))
| ~ theorem(not(or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_851])]) ).
fof(f1819,plain,
( spl0_111
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f5034,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),or(X1,X2))))
| ~ theorem(not(or(X2,X1))) )
| ~ spl0_111
| ~ spl0_213 ),
inference(resolution,[],[f4442,f1820]) ).
fof(f1820,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f61395,plain,
( spl0_850
| ~ spl0_94
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f4890,f4429,f942,f61393]) ).
fof(f61393,plain,
( spl0_850
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X3))
| ~ theorem(or(X0,not(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_850])]) ).
fof(f4890,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X3))
| ~ theorem(or(X0,not(X3))) )
| ~ spl0_94
| ~ spl0_210 ),
inference(resolution,[],[f4430,f943]) ).
fof(f61391,plain,
( spl0_849
| ~ spl0_48
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f4808,f4425,f314,f61389]) ).
fof(f61389,plain,
( spl0_849
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2))
| theorem(or(not(or(X2,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_849])]) ).
fof(f4808,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2))
| theorem(or(not(or(X2,X0)),X1)) )
| ~ spl0_48
| ~ spl0_209 ),
inference(resolution,[],[f4426,f315]) ).
fof(f61387,plain,
( spl0_848
| ~ spl0_15
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f4691,f4363,f85,f61385]) ).
fof(f61385,plain,
( spl0_848
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,X2)))
| theorem(not(or(X1,or(not(X0),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_848])]) ).
fof(f4363,plain,
( spl0_206
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),X3))
| ~ theorem(not(or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f4691,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,X2)))
| theorem(not(or(X1,or(not(X0),X2)))) )
| ~ spl0_15
| ~ spl0_206 ),
inference(resolution,[],[f4364,f86]) ).
fof(f4364,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X1,or(not(X0),X2))),X3))
| ~ theorem(X0)
| ~ theorem(not(or(X1,X2))) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f4363]) ).
fof(f61383,plain,
( spl0_847
| ~ spl0_78
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f26414,f26288,f778,f61381]) ).
fof(f61381,plain,
( spl0_847
<=> ! [X0] :
( ~ theorem(or(not(not(X0)),X0))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_847])]) ).
fof(f26288,plain,
( spl0_373
<=> ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f26414,plain,
( ! [X0] :
( ~ theorem(or(not(not(X0)),X0))
| ~ theorem(not(X0)) )
| ~ spl0_78
| ~ spl0_373 ),
inference(resolution,[],[f26289,f779]) ).
fof(f26289,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f26288]) ).
fof(f61379,plain,
( spl0_846
| ~ spl0_87
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f4646,f4359,f915,f61377]) ).
fof(f61377,plain,
( spl0_846
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(or(not(X3),X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_846])]) ).
fof(f915,plain,
( spl0_87
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f4359,plain,
( spl0_205
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X2,or(not(X0),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f4646,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(or(not(X3),X2),X1)) )
| ~ spl0_87
| ~ spl0_205 ),
inference(resolution,[],[f4360,f916]) ).
fof(f916,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f4360,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X1,or(X2,or(not(X0),X3))))
| theorem(or(X1,or(X2,X3)))
| ~ theorem(X0) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f4359]) ).
fof(f61375,plain,
( spl0_845
| ~ spl0_48
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f4559,f4355,f314,f61373]) ).
fof(f61373,plain,
( spl0_845
<=> ! [X0] : theorem(or(not(or(or(or(X0,X0),X0),or(or(X0,X0),X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_845])]) ).
fof(f4355,plain,
( spl0_204
<=> ! [X0,X1] : theorem(or(or(not(or(or(or(X0,X0),X1),or(or(X0,X0),X1))),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f4559,plain,
( ! [X0] : theorem(or(not(or(or(or(X0,X0),X0),or(or(X0,X0),X0))),X0))
| ~ spl0_48
| ~ spl0_204 ),
inference(resolution,[],[f4356,f315]) ).
fof(f4356,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(or(X0,X0),X1),or(or(X0,X0),X1))),X1),X0))
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f4355]) ).
fof(f61371,plain,
( spl0_844
| ~ spl0_11
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f4244,f3848,f66,f61369]) ).
fof(f61369,plain,
( spl0_844
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,X3))
| ~ theorem(or(not(or(X1,X0)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_844])]) ).
fof(f4244,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,X3))
| ~ theorem(or(not(or(X1,X0)),X3)) )
| ~ spl0_11
| ~ spl0_195 ),
inference(resolution,[],[f3849,f67]) ).
fof(f61367,plain,
( spl0_843
| ~ spl0_187
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4170,f3840,f3794,f61365]) ).
fof(f61365,plain,
( spl0_843
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X3,X2)))
| ~ theorem(not(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_843])]) ).
fof(f4170,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X3,X2)))
| ~ theorem(not(X3)) )
| ~ spl0_187
| ~ spl0_193 ),
inference(resolution,[],[f3841,f3795]) ).
fof(f61363,plain,
( spl0_842
| ~ spl0_188
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4164,f3840,f3798,f61361]) ).
fof(f61361,plain,
( spl0_842
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X2,X1),or(X2,X1)))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_842])]) ).
fof(f4164,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X2,X1),or(X2,X1)))
| ~ theorem(not(X2)) )
| ~ spl0_188
| ~ spl0_193 ),
inference(resolution,[],[f3841,f3799]) ).
fof(f61359,plain,
( spl0_841
| ~ spl0_40
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f4058,f3802,f268,f61357]) ).
fof(f61357,plain,
( spl0_841
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(not(not(X1))),not(not(not(X1)))))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_841])]) ).
fof(f4058,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(not(not(X1))),not(not(not(X1)))))))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_189 ),
inference(resolution,[],[f3803,f269]) ).
fof(f61355,plain,
( spl0_840
| ~ spl0_75
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f4012,f3802,f744,f61353]) ).
fof(f61353,plain,
( spl0_840
<=> ! [X2,X0,X1] :
( theorem(or(X0,not(or(not(or(X1,X2)),not(or(X1,X2))))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_840])]) ).
fof(f4012,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,not(or(not(or(X1,X2)),not(or(X1,X2))))))
| ~ theorem(X1) )
| ~ spl0_75
| ~ spl0_189 ),
inference(resolution,[],[f3803,f745]) ).
fof(f61351,plain,
( spl0_839
| ~ spl0_7
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f4011,f3802,f46,f61349]) ).
fof(f61349,plain,
( spl0_839
<=> ! [X2,X0,X1] :
( theorem(or(X0,not(or(not(or(X1,X2)),not(or(X1,X2))))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_839])]) ).
fof(f4011,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,not(or(not(or(X1,X2)),not(or(X1,X2))))))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_189 ),
inference(resolution,[],[f3803,f47]) ).
fof(f61347,plain,
( spl0_838
| ~ spl0_16
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f3760,f3270,f92,f61345]) ).
fof(f61345,plain,
( spl0_838
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X2)),not(or(not(X1),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_838])]) ).
fof(f3760,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X2)),not(or(not(X1),X2))))
| ~ spl0_16
| ~ spl0_178 ),
inference(resolution,[],[f3271,f93]) ).
fof(f61343,plain,
( spl0_837
| ~ spl0_17
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f3755,f3270,f102,f61341]) ).
fof(f61341,plain,
( spl0_837
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(not(X1),X2)),or(not(or(X0,X1)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_837])]) ).
fof(f102,plain,
( spl0_17
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f3755,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(not(X1),X2)),or(not(or(X0,X1)),X2))))
| ~ spl0_17
| ~ spl0_178 ),
inference(resolution,[],[f3271,f103]) ).
fof(f103,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f61339,plain,
( spl0_836
| ~ spl0_16
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f26265,f25344,f92,f61337]) ).
fof(f61337,plain,
( spl0_836
<=> ! [X0] : theorem(or(X0,not(or(X0,not(not(X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_836])]) ).
fof(f25344,plain,
( spl0_371
<=> ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f26265,plain,
( ! [X0] : theorem(or(X0,not(or(X0,not(not(X0))))))
| ~ spl0_16
| ~ spl0_371 ),
inference(resolution,[],[f25345,f93]) ).
fof(f25345,plain,
( ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0))
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f25344]) ).
fof(f61335,plain,
( spl0_835
| ~ spl0_54
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f3754,f3270,f417,f61333]) ).
fof(f61333,plain,
( spl0_835
<=> ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(not(or(X2,X0)),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_835])]) ).
fof(f3754,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(not(or(X2,X0)),X1),X2)))
| ~ spl0_54
| ~ spl0_178 ),
inference(resolution,[],[f3271,f418]) ).
fof(f61331,plain,
( spl0_834
| ~ spl0_16
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f3742,f3266,f92,f61329]) ).
fof(f61329,plain,
( spl0_834
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(not(X1),X2)),X2)),not(or(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_834])]) ).
fof(f3742,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(not(X1),X2)),X2)),not(or(X0,X1))))
| ~ spl0_16
| ~ spl0_177 ),
inference(resolution,[],[f3267,f93]) ).
fof(f61327,plain,
( spl0_833
| ~ spl0_17
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f3737,f3266,f102,f61325]) ).
fof(f61325,plain,
( spl0_833
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(not(or(not(X1),X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_833])]) ).
fof(f3737,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(not(or(not(X1),X2)),X2))))
| ~ spl0_17
| ~ spl0_177 ),
inference(resolution,[],[f3267,f103]) ).
fof(f61323,plain,
( spl0_832
| ~ spl0_54
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f3736,f3266,f417,f61321]) ).
fof(f61321,plain,
( spl0_832
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(not(or(not(X1),X2)),X2),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_832])]) ).
fof(f3736,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(not(or(not(X1),X2)),X2),X0)))
| ~ spl0_54
| ~ spl0_177 ),
inference(resolution,[],[f3267,f418]) ).
fof(f61319,plain,
( spl0_831
| ~ spl0_16
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f3688,f3258,f92,f61317]) ).
fof(f61317,plain,
( spl0_831
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(not(X1),not(X1)))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_831])]) ).
fof(f3258,plain,
( spl0_175
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f3688,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(not(X1),not(X1)))),X0)) )
| ~ spl0_16
| ~ spl0_175 ),
inference(resolution,[],[f3259,f93]) ).
fof(f3259,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X2,not(or(not(X1),not(X1))))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f3258]) ).
fof(f61315,plain,
( spl0_830
| ~ spl0_54
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f3680,f3258,f417,f61313]) ).
fof(f61313,plain,
( spl0_830
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),not(X1))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_830])]) ).
fof(f3680,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),not(X1))),X2))) )
| ~ spl0_54
| ~ spl0_175 ),
inference(resolution,[],[f3259,f418]) ).
fof(f61311,plain,
( spl0_829
| ~ spl0_152
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3647,f3235,f2598,f61309]) ).
fof(f61309,plain,
( spl0_829
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,not(X3)))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_829])]) ).
fof(f2598,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f3647,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,not(X3)))
| ~ theorem(or(X0,X3)) )
| ~ spl0_152
| ~ spl0_174 ),
inference(resolution,[],[f3236,f2599]) ).
fof(f2599,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X2,not(or(X2,not(X1))))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f2598]) ).
fof(f61307,plain,
( spl0_828
| ~ spl0_22
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3540,f3227,f139,f61305]) ).
fof(f61305,plain,
( spl0_828
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(not(or(not(X1),not(X1)))))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_828])]) ).
fof(f3540,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(not(or(not(X1),not(X1)))))),X0))
| ~ theorem(X1) )
| ~ spl0_22
| ~ spl0_172 ),
inference(resolution,[],[f3228,f140]) ).
fof(f61303,plain,
( spl0_827
| ~ spl0_47
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3508,f3227,f310,f61301]) ).
fof(f61301,plain,
( spl0_827
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_827])]) ).
fof(f3508,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_172 ),
inference(resolution,[],[f3228,f311]) ).
fof(f61299,plain,
( spl0_826
| ~ spl0_16
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3398,f3219,f92,f61297]) ).
fof(f61297,plain,
( spl0_826
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(or(X0,X0),X2))),or(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_826])]) ).
fof(f3219,plain,
( spl0_170
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f3398,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(or(X0,X0),X2))),or(X1,X2))))
| ~ spl0_16
| ~ spl0_170 ),
inference(resolution,[],[f3220,f93]) ).
fof(f3220,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1))
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f3219]) ).
fof(f61295,plain,
( spl0_825
| ~ spl0_67
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f25914,f25336,f590,f61293]) ).
fof(f61293,plain,
( spl0_825
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_825])]) ).
fof(f25336,plain,
( spl0_369
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f25914,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X1)))))
| ~ spl0_67
| ~ spl0_369 ),
inference(resolution,[],[f25337,f591]) ).
fof(f25337,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2)))))
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f25336]) ).
fof(f61291,plain,
( spl0_824
| ~ spl0_16
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f3393,f3215,f92,f61289]) ).
fof(f61289,plain,
( spl0_824
<=> ! [X2,X0,X1] : theorem(or(or(or(X0,X1),not(or(X0,X2))),not(or(not(X2),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_824])]) ).
fof(f3393,plain,
( ! [X2,X0,X1] : theorem(or(or(or(X0,X1),not(or(X0,X2))),not(or(not(X2),X1))))
| ~ spl0_16
| ~ spl0_169 ),
inference(resolution,[],[f3216,f93]) ).
fof(f61287,plain,
( spl0_823
| ~ spl0_17
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f3390,f3215,f102,f61285]) ).
fof(f61285,plain,
( spl0_823
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(not(X2),X1)),not(or(X0,X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_823])]) ).
fof(f3390,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(not(X2),X1)),not(or(X0,X2)))))
| ~ spl0_17
| ~ spl0_169 ),
inference(resolution,[],[f3216,f103]) ).
fof(f61283,plain,
( spl0_822
| ~ spl0_16
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f3378,f3211,f92,f61281]) ).
fof(f61281,plain,
( spl0_822
<=> ! [X2,X0,X1] : theorem(or(or(or(X0,X1),not(or(not(X2),X1))),not(or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_822])]) ).
fof(f3378,plain,
( ! [X2,X0,X1] : theorem(or(or(or(X0,X1),not(or(not(X2),X1))),not(or(X0,X2))))
| ~ spl0_16
| ~ spl0_168 ),
inference(resolution,[],[f3212,f93]) ).
fof(f61279,plain,
( spl0_821
| ~ spl0_17
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f3375,f3211,f102,f61277]) ).
fof(f61277,plain,
( spl0_821
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X0,X2)),not(or(not(X2),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_821])]) ).
fof(f3375,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X0,X2)),not(or(not(X2),X1)))))
| ~ spl0_17
| ~ spl0_168 ),
inference(resolution,[],[f3212,f103]) ).
fof(f61275,plain,
( spl0_820
| ~ spl0_22
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3319,f3207,f139,f61273]) ).
fof(f61273,plain,
( spl0_820
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(or(not(X1),not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_820])]) ).
fof(f3319,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(or(not(X1),not(X1)))))) )
| ~ spl0_22
| ~ spl0_167 ),
inference(resolution,[],[f3208,f140]) ).
fof(f61271,plain,
( spl0_819
| ~ spl0_89
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3290,f3207,f923,f61269]) ).
fof(f61269,plain,
( spl0_819
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_819])]) ).
fof(f3290,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(not(X1)) )
| ~ spl0_89
| ~ spl0_167 ),
inference(resolution,[],[f3208,f924]) ).
fof(f61267,plain,
( spl0_818
| ~ spl0_47
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3289,f3207,f310,f61265]) ).
fof(f61265,plain,
( spl0_818
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X3,or(X0,X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_818])]) ).
fof(f3289,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X3,or(X0,X1)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_167 ),
inference(resolution,[],[f3208,f311]) ).
fof(f61263,plain,
( spl0_817
| ~ spl0_126
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f3275,f3203,f2077,f61261]) ).
fof(f61261,plain,
( spl0_817
<=> ! [X2,X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,not(X2))))))
| ~ theorem(not(X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_817])]) ).
fof(f3203,plain,
( spl0_166
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f3275,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,not(X2))))))
| ~ theorem(not(X1))
| ~ theorem(X2) )
| ~ spl0_126
| ~ spl0_166 ),
inference(resolution,[],[f3204,f2078]) ).
fof(f3204,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X1),not(or(X0,X1))))
| theorem(or(X0,not(or(X0,X1)))) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f3203]) ).
fof(f61259,plain,
( spl0_816
| ~ spl0_123
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3190,f2647,f2065,f61257]) ).
fof(f61257,plain,
( spl0_816
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(or(X2,not(or(X0,X2))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_816])]) ).
fof(f2065,plain,
( spl0_123
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f2647,plain,
( spl0_164
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f3190,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(or(X2,not(or(X0,X2))))
| ~ theorem(X1) )
| ~ spl0_123
| ~ spl0_164 ),
inference(resolution,[],[f2648,f2066]) ).
fof(f2066,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,not(X0))))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f2648,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f2647]) ).
fof(f61255,plain,
( spl0_815
| ~ spl0_50
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3185,f2647,f322,f61253]) ).
fof(f61253,plain,
( spl0_815
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(X0,X1))))
| theorem(or(X1,not(or(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_815])]) ).
fof(f3185,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(X0,X1))))
| theorem(or(X1,not(or(X0,X1)))) )
| ~ spl0_50
| ~ spl0_164 ),
inference(resolution,[],[f2648,f323]) ).
fof(f61251,plain,
( spl0_814
| ~ spl0_17
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f25897,f25332,f102,f61249]) ).
fof(f61249,plain,
( spl0_814
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,X1)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_814])]) ).
fof(f25897,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X1)),X1)))
| ~ spl0_17
| ~ spl0_368 ),
inference(resolution,[],[f25333,f103]) ).
fof(f61247,plain,
( spl0_813
| ~ spl0_135
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3179,f2643,f2115,f61245]) ).
fof(f61245,plain,
( spl0_813
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,not(X2))),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_813])]) ).
fof(f2643,plain,
( spl0_163
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f3179,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,not(X2))),X1))
| ~ theorem(X2) )
| ~ spl0_135
| ~ spl0_163 ),
inference(resolution,[],[f2644,f2116]) ).
fof(f2644,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f2643]) ).
fof(f61243,plain,
( spl0_812
| ~ spl0_123
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3178,f2643,f2065,f61241]) ).
fof(f61241,plain,
( spl0_812
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(or(not(or(X0,X2)),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_812])]) ).
fof(f3178,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(or(not(or(X0,X2)),X2))
| ~ theorem(X1) )
| ~ spl0_123
| ~ spl0_163 ),
inference(resolution,[],[f2644,f2066]) ).
fof(f61239,plain,
( spl0_811
| ~ spl0_6
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3158,f2639,f41,f61237]) ).
fof(f61237,plain,
( spl0_811
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X1,or(X3,X2)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_811])]) ).
fof(f41,plain,
( spl0_6
<=> ! [X4,X3] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f3158,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X1,or(X3,X2)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_162 ),
inference(resolution,[],[f2640,f42]) ).
fof(f42,plain,
( ! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f61235,plain,
( spl0_810
| ~ spl0_135
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3148,f2639,f2115,f61233]) ).
fof(f61233,plain,
( spl0_810
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_810])]) ).
fof(f3148,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,X2)))
| ~ theorem(X1) )
| ~ spl0_135
| ~ spl0_162 ),
inference(resolution,[],[f2640,f2116]) ).
fof(f61231,plain,
( spl0_809
| ~ spl0_84
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3127,f2635,f847,f61229]) ).
fof(f61229,plain,
( spl0_809
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,not(or(X2,not(X0))))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_809])]) ).
fof(f3127,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,not(or(X2,not(X0))))),X1)) )
| ~ spl0_84
| ~ spl0_161 ),
inference(resolution,[],[f2636,f848]) ).
fof(f61227,plain,
( spl0_808
| ~ spl0_81
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3111,f2635,f835,f61225]) ).
fof(f61225,plain,
( spl0_808
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(not(or(not(X0),X2)),X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_808])]) ).
fof(f3111,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(not(or(not(X0),X2)),X2)),X1)) )
| ~ spl0_81
| ~ spl0_161 ),
inference(resolution,[],[f2636,f836]) ).
fof(f61223,plain,
( spl0_807
| ~ spl0_26
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3106,f2635,f163,f61221]) ).
fof(f61221,plain,
( spl0_807
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(not(or(X2,not(X0))),X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_807])]) ).
fof(f3106,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(not(or(X2,not(X0))),X2)),X1)) )
| ~ spl0_26
| ~ spl0_161 ),
inference(resolution,[],[f2636,f164]) ).
fof(f61219,plain,
( spl0_806
| ~ spl0_97
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3093,f2635,f1033,f61217]) ).
fof(f61217,plain,
( spl0_806
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X0),or(X0,X0)))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_806])]) ).
fof(f3093,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X0),or(X0,X0)))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_97
| ~ spl0_161 ),
inference(resolution,[],[f2636,f1034]) ).
fof(f61215,plain,
( spl0_805
| ~ spl0_104
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3077,f2635,f1706,f61213]) ).
fof(f61213,plain,
( spl0_805
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(X2)
| ~ theorem(or(not(or(X0,or(X3,X1))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_805])]) ).
fof(f3077,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X2)
| ~ theorem(or(not(or(X0,or(X3,X1))),X2)) )
| ~ spl0_104
| ~ spl0_161 ),
inference(resolution,[],[f2636,f1707]) ).
fof(f61211,plain,
( spl0_804
| ~ spl0_6
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3064,f2631,f41,f61209]) ).
fof(f61209,plain,
( spl0_804
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(X2,X1)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_804])]) ).
fof(f3064,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_160 ),
inference(resolution,[],[f2632,f42]) ).
fof(f61207,plain,
( spl0_803
| ~ spl0_54
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f25896,f25332,f417,f61205]) ).
fof(f61205,plain,
( spl0_803
<=> ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_803])]) ).
fof(f25896,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X0,X1)))
| ~ spl0_54
| ~ spl0_368 ),
inference(resolution,[],[f25333,f418]) ).
fof(f61203,plain,
( spl0_802
| ~ spl0_118
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3038,f2627,f1847,f61201]) ).
fof(f61201,plain,
( spl0_802
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),or(X0,X1)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_802])]) ).
fof(f3038,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),or(X0,X1)),X1)) )
| ~ spl0_118
| ~ spl0_159 ),
inference(resolution,[],[f2628,f1848]) ).
fof(f61199,plain,
( spl0_801
| ~ spl0_123
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f2949,f2602,f2065,f61197]) ).
fof(f61197,plain,
( spl0_801
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X2),not(X1))),X0))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_801])]) ).
fof(f2602,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f2949,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X2),not(X1))),X0))
| ~ theorem(X2) )
| ~ spl0_123
| ~ spl0_153 ),
inference(resolution,[],[f2603,f2066]) ).
fof(f2603,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X2,not(X1))),or(X0,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f2602]) ).
fof(f61195,plain,
( spl0_800
| ~ spl0_51
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f2940,f2602,f357,f61193]) ).
fof(f61193,plain,
( spl0_800
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X3,not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_800])]) ).
fof(f2940,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X3,not(X1))) )
| ~ spl0_51
| ~ spl0_153 ),
inference(resolution,[],[f2603,f358]) ).
fof(f61191,plain,
( spl0_799
| ~ spl0_6
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f2931,f2598,f41,f61189]) ).
fof(f61189,plain,
( spl0_799
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(X2,not(X1)))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_799])]) ).
fof(f2931,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(X2,not(X1)))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_152 ),
inference(resolution,[],[f2599,f42]) ).
fof(f61187,plain,
( spl0_798
| ~ spl0_123
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f2896,f2590,f2065,f61185]) ).
fof(f61185,plain,
( spl0_798
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,or(not(X0),not(X2))))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_798])]) ).
fof(f2590,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f2896,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,or(not(X0),not(X2))))))
| ~ theorem(X2) )
| ~ spl0_123
| ~ spl0_150 ),
inference(resolution,[],[f2591,f2066]) ).
fof(f2591,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2)))
| ~ theorem(X0) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f2590]) ).
fof(f61183,plain,
( spl0_797
| ~ spl0_51
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2877,f2586,f357,f61181]) ).
fof(f61181,plain,
( spl0_797
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X3,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_797])]) ).
fof(f2586,plain,
( spl0_149
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f2877,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X3,or(not(X0),X2))) )
| ~ spl0_51
| ~ spl0_149 ),
inference(resolution,[],[f2587,f358]) ).
fof(f2587,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f2586]) ).
fof(f61179,plain,
( spl0_796
| ~ spl0_97
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2829,f2582,f1033,f61177]) ).
fof(f61177,plain,
( spl0_796
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(or(X0,X0),or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_796])]) ).
fof(f2829,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(or(X0,X0),or(X0,X0))) )
| ~ spl0_97
| ~ spl0_148 ),
inference(resolution,[],[f2583,f1034]) ).
fof(f61175,plain,
( spl0_795
| ~ spl0_11
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2818,f2582,f66,f61173]) ).
fof(f61173,plain,
( spl0_795
<=> ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_795])]) ).
fof(f2818,plain,
( ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(or(X1,X0)) )
| ~ spl0_11
| ~ spl0_148 ),
inference(resolution,[],[f2583,f67]) ).
fof(f61171,plain,
( spl0_794
| ~ spl0_51
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2758,f2570,f357,f61169]) ).
fof(f61169,plain,
( spl0_794
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(or(X3,X2),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_794])]) ).
fof(f2570,plain,
( spl0_145
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f2758,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(or(X3,X2),not(X0))) )
| ~ spl0_51
| ~ spl0_145 ),
inference(resolution,[],[f2571,f358]) ).
fof(f2571,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f61167,plain,
( spl0_793
| ~ spl0_51
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f2742,f2566,f357,f61165]) ).
fof(f61165,plain,
( spl0_793
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(or(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_793])]) ).
fof(f2566,plain,
( spl0_144
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f2742,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(or(X3,X0)) )
| ~ spl0_51
| ~ spl0_144 ),
inference(resolution,[],[f2567,f358]) ).
fof(f2567,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f2566]) ).
fof(f61163,plain,
( spl0_792
| ~ spl0_16
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f25737,f25320,f92,f61161]) ).
fof(f61161,plain,
( spl0_792
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_792])]) ).
fof(f25320,plain,
( spl0_365
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f25737,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X0)))))
| ~ spl0_16
| ~ spl0_365 ),
inference(resolution,[],[f25321,f93]) ).
fof(f25321,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1))
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f25320]) ).
fof(f61159,plain,
( spl0_791
| ~ spl0_123
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2706,f2558,f2065,f61157]) ).
fof(f61157,plain,
( spl0_791
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,not(X1)),X2))
| theorem(or(X0,or(X3,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_791])]) ).
fof(f2706,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,not(X1)),X2))
| theorem(or(X0,or(X3,X2)))
| ~ theorem(X1) )
| ~ spl0_123
| ~ spl0_142 ),
inference(resolution,[],[f2559,f2066]) ).
fof(f61155,plain,
( spl0_790
| ~ spl0_123
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2655,f2550,f2065,f61153]) ).
fof(f61153,plain,
( spl0_790
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(X1,not(X2)),not(X0)))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_790])]) ).
fof(f2550,plain,
( spl0_140
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f2655,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(X1,not(X2)),not(X0)))))
| ~ theorem(X2) )
| ~ spl0_123
| ~ spl0_140 ),
inference(resolution,[],[f2551,f2066]) ).
fof(f2551,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2)))
| ~ theorem(X0) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f2550]) ).
fof(f61151,plain,
( spl0_789
| ~ spl0_119
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2512,f2119,f1851,f61149]) ).
fof(f61149,plain,
( spl0_789
<=> ! [X2,X0,X1] : theorem(or(not(or(or(or(X0,X1),X1),X0)),or(X2,or(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_789])]) ).
fof(f2512,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(or(X0,X1),X1),X0)),or(X2,or(X0,X1))))
| ~ spl0_119
| ~ spl0_136 ),
inference(resolution,[],[f2120,f1852]) ).
fof(f61147,plain,
( spl0_788
| ~ spl0_49
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2499,f2115,f318,f61145]) ).
fof(f61145,plain,
( spl0_788
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(X3)
| ~ theorem(or(or(not(X3),X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_788])]) ).
fof(f318,plain,
( spl0_49
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2499,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(X3)
| ~ theorem(or(or(not(X3),X2),X1)) )
| ~ spl0_49
| ~ spl0_135 ),
inference(resolution,[],[f2116,f319]) ).
fof(f319,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f61143,plain,
( spl0_787
| ~ spl0_61
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2456,f2115,f486,f61141]) ).
fof(f61141,plain,
( spl0_787
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X2)
| ~ theorem(or(not(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_787])]) ).
fof(f486,plain,
( spl0_61
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2456,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X2)
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_61
| ~ spl0_135 ),
inference(resolution,[],[f2116,f487]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f61139,plain,
( spl0_786
| ~ spl0_47
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2451,f2115,f310,f61137]) ).
fof(f61137,plain,
( spl0_786
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),not(X2))),X1))
| ~ theorem(X0)
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_786])]) ).
fof(f2451,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),not(X2))),X1))
| ~ theorem(X0)
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_135 ),
inference(resolution,[],[f2116,f311]) ).
fof(f61135,plain,
( spl0_785
| ~ spl0_124
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2445,f2115,f2069,f61133]) ).
fof(f61133,plain,
( spl0_785
<=> ! [X0,X1] :
( theorem(or(not(or(not(X0),or(or(not(X0),X1),X1))),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_785])]) ).
fof(f2445,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X0),or(or(not(X0),X1),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_124
| ~ spl0_135 ),
inference(resolution,[],[f2116,f2070]) ).
fof(f61131,plain,
( spl0_784
| ~ spl0_58
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2443,f2115,f474,f61129]) ).
fof(f61129,plain,
( spl0_784
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),or(not(X1),X2))),X2))
| ~ theorem(X0)
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_784])]) ).
fof(f474,plain,
( spl0_58
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2443,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),or(not(X1),X2))),X2))
| ~ theorem(X0)
| ~ theorem(X1) )
| ~ spl0_58
| ~ spl0_135 ),
inference(resolution,[],[f2116,f475]) ).
fof(f475,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f61127,plain,
( spl0_783
| ~ spl0_50
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2430,f2111,f322,f61125]) ).
fof(f61125,plain,
( spl0_783
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X0),X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_783])]) ).
fof(f2430,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X0),X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) )
| ~ spl0_50
| ~ spl0_134 ),
inference(resolution,[],[f2112,f323]) ).
fof(f61123,plain,
( spl0_782
| ~ spl0_78
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2423,f2111,f778,f61121]) ).
fof(f61121,plain,
( spl0_782
<=> ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| ~ theorem(or(not(X0),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_782])]) ).
fof(f2423,plain,
( ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| ~ theorem(or(not(X0),not(X0))) )
| ~ spl0_78
| ~ spl0_134 ),
inference(resolution,[],[f2112,f779]) ).
fof(f61119,plain,
( spl0_781
| ~ spl0_109
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f25730,f25320,f1811,f61117]) ).
fof(f61117,plain,
( spl0_781
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_781])]) ).
fof(f25730,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X1))))
| ~ spl0_109
| ~ spl0_365 ),
inference(resolution,[],[f25321,f1812]) ).
fof(f61115,plain,
( spl0_780
| ~ spl0_49
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2343,f2085,f318,f61113]) ).
fof(f61113,plain,
( spl0_780
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,X3),X4))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_780])]) ).
fof(f2343,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,X3),X4))
| ~ theorem(or(X3,X1)) )
| ~ spl0_49
| ~ spl0_128 ),
inference(resolution,[],[f2086,f319]) ).
fof(f61111,plain,
( spl0_779
| ~ spl0_27
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2327,f2085,f171,f61109]) ).
fof(f61109,plain,
( spl0_779
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(X2,X3)),X4))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_779])]) ).
fof(f2327,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(X2,X3)),X4))
| ~ theorem(or(X0,X3)) )
| ~ spl0_27
| ~ spl0_128 ),
inference(resolution,[],[f2086,f172]) ).
fof(f61107,plain,
( spl0_778
| ~ spl0_94
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2323,f2085,f942,f61105]) ).
fof(f61105,plain,
( spl0_778
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(X2,X3)),X4))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_778])]) ).
fof(f2323,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(X2,X3)),X4))
| ~ theorem(or(X0,X2)) )
| ~ spl0_94
| ~ spl0_128 ),
inference(resolution,[],[f2086,f943]) ).
fof(f61103,plain,
( spl0_777
| ~ spl0_86
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2306,f2085,f911,f61101]) ).
fof(f61101,plain,
( spl0_777
<=> ! [X0,X3,X2,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,not(or(X0,not(X2)))),X3))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_777])]) ).
fof(f2306,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,not(or(X0,not(X2)))),X3))
| ~ theorem(X2) )
| ~ spl0_86
| ~ spl0_128 ),
inference(resolution,[],[f2086,f912]) ).
fof(f61099,plain,
( spl0_776
| ~ spl0_47
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2285,f2085,f310,f61097]) ).
fof(f61097,plain,
( spl0_776
<=> ! [X0,X3,X2,X1] :
( ~ theorem(not(not(or(X0,not(X1)))))
| theorem(or(or(X2,X0),X3))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_776])]) ).
fof(f2285,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(or(X0,not(X1)))))
| theorem(or(or(X2,X0),X3))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_128 ),
inference(resolution,[],[f2086,f311]) ).
fof(f61095,plain,
( spl0_775
| ~ spl0_17
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2273,f2077,f102,f61093]) ).
fof(f61093,plain,
( spl0_775
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(or(X2,or(not(or(X0,not(X1))),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_775])]) ).
fof(f2273,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(or(X2,or(not(or(X0,not(X1))),X3))) )
| ~ spl0_17
| ~ spl0_126 ),
inference(resolution,[],[f2078,f103]) ).
fof(f61091,plain,
( spl0_774
| ~ spl0_94
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2245,f2073,f942,f61089]) ).
fof(f61089,plain,
( spl0_774
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(not(X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_774])]) ).
fof(f2245,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X4))))
| ~ theorem(or(not(X0),X3)) )
| ~ spl0_94
| ~ spl0_125 ),
inference(resolution,[],[f2074,f943]) ).
fof(f61087,plain,
( spl0_773
| ~ spl0_86
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2228,f2073,f911,f61085]) ).
fof(f61085,plain,
( spl0_773
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(not(X0),not(X3))))))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_773])]) ).
fof(f2228,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(not(X0),not(X3))))))
| ~ theorem(X3) )
| ~ spl0_86
| ~ spl0_125 ),
inference(resolution,[],[f2074,f912]) ).
fof(f61083,plain,
( spl0_772
| ~ spl0_108
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2224,f2073,f1807,f61081]) ).
fof(f61081,plain,
( spl0_772
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,X0),not(X1)))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_772])]) ).
fof(f2224,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X0),not(X1)))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(X1) )
| ~ spl0_108
| ~ spl0_125 ),
inference(resolution,[],[f2074,f1808]) ).
fof(f61079,plain,
( spl0_771
| ~ spl0_116
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2207,f2073,f1839,f61077]) ).
fof(f61077,plain,
( spl0_771
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X0)))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_771])]) ).
fof(f2207,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X0)))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(X1) )
| ~ spl0_116
| ~ spl0_125 ),
inference(resolution,[],[f2074,f1840]) ).
fof(f61075,plain,
( spl0_770
| ~ spl0_16
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f25708,f25316,f92,f61073]) ).
fof(f61073,plain,
( spl0_770
<=> ! [X0] : theorem(or(X0,not(or(X0,or(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_770])]) ).
fof(f25316,plain,
( spl0_364
<=> ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f25708,plain,
( ! [X0] : theorem(or(X0,not(or(X0,or(X0,X0)))))
| ~ spl0_16
| ~ spl0_364 ),
inference(resolution,[],[f25317,f93]) ).
fof(f25317,plain,
( ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0))
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f25316]) ).
fof(f61071,plain,
( spl0_769
| ~ spl0_107
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2206,f2073,f1803,f61069]) ).
fof(f61069,plain,
( spl0_769
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_769])]) ).
fof(f2206,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_107
| ~ spl0_125 ),
inference(resolution,[],[f2074,f1804]) ).
fof(f61067,plain,
( spl0_768
| ~ spl0_123
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2199,f2069,f2065,f61065]) ).
fof(f61065,plain,
( spl0_768
<=> ! [X0,X1] :
( theorem(or(not(or(X0,or(or(X0,not(X1)),not(X1)))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_768])]) ).
fof(f2199,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,or(or(X0,not(X1)),not(X1)))),X0))
| ~ theorem(X1) )
| ~ spl0_123
| ~ spl0_124 ),
inference(resolution,[],[f2070,f2066]) ).
fof(f61063,plain,
( spl0_767
| ~ spl0_49
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2187,f2065,f318,f61061]) ).
fof(f61061,plain,
( spl0_767
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(X3)
| ~ theorem(or(or(X2,not(X3)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_767])]) ).
fof(f2187,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(X3)
| ~ theorem(or(or(X2,not(X3)),X1)) )
| ~ spl0_49
| ~ spl0_123 ),
inference(resolution,[],[f2066,f319]) ).
fof(f61059,plain,
( spl0_766
| ~ spl0_32
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2165,f2065,f217,f61057]) ).
fof(f61057,plain,
( spl0_766
<=> ! [X2,X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(X2)
| ~ theorem(or(not(X1),not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_766])]) ).
fof(f217,plain,
( spl0_32
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X2,X0)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2165,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(X2)
| ~ theorem(or(not(X1),not(X2))) )
| ~ spl0_32
| ~ spl0_123 ),
inference(resolution,[],[f2066,f218]) ).
fof(f218,plain,
( ! [X2,X0,X1] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f61055,plain,
( spl0_765
| ~ spl0_30
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2163,f2065,f188,f61053]) ).
fof(f61053,plain,
( spl0_765
<=> ! [X0,X1] :
( theorem(or(X0,not(or(or(X0,not(X1)),or(X0,not(X1))))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_765])]) ).
fof(f2163,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(or(X0,not(X1)),or(X0,not(X1))))))
| ~ theorem(X1) )
| ~ spl0_30
| ~ spl0_123 ),
inference(resolution,[],[f2066,f189]) ).
fof(f61051,plain,
( spl0_764
| ~ spl0_59
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2162,f2065,f478,f61049]) ).
fof(f61049,plain,
( spl0_764
<=> ! [X2,X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X2)))))
| ~ theorem(X1)
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_764])]) ).
fof(f478,plain,
( spl0_59
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2162,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X2)))))
| ~ theorem(X1)
| ~ theorem(or(X0,X2)) )
| ~ spl0_59
| ~ spl0_123 ),
inference(resolution,[],[f2066,f479]) ).
fof(f479,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f61047,plain,
( spl0_763
| ~ spl0_61
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2153,f2065,f486,f61045]) ).
fof(f61045,plain,
( spl0_763
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),not(X1))),X2))
| ~ theorem(X1)
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_763])]) ).
fof(f2153,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),not(X1))),X2))
| ~ theorem(X1)
| ~ theorem(or(X2,X0)) )
| ~ spl0_61
| ~ spl0_123 ),
inference(resolution,[],[f2066,f487]) ).
fof(f61043,plain,
( spl0_762
| ~ spl0_47
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2150,f2065,f310,f61041]) ).
fof(f61041,plain,
( spl0_762
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,not(X1)),not(X2))),X0))
| ~ theorem(X1)
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_762])]) ).
fof(f2150,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,not(X1)),not(X2))),X0))
| ~ theorem(X1)
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_123 ),
inference(resolution,[],[f2066,f311]) ).
fof(f61039,plain,
( spl0_761
| ~ spl0_10
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2147,f2065,f60,f61037]) ).
fof(f61037,plain,
( spl0_761
<=> ! [X0,X1] :
( theorem(or(not(or(or(X0,not(X1)),or(X0,not(X1)))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_761])]) ).
fof(f2147,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,not(X1)),or(X0,not(X1)))),X0))
| ~ theorem(X1) )
| ~ spl0_10
| ~ spl0_123 ),
inference(resolution,[],[f2066,f61]) ).
fof(f61035,plain,
( spl0_760
| ~ spl0_58
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2146,f2065,f474,f61033]) ).
fof(f61033,plain,
( spl0_760
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),not(X2)))),X0))
| ~ theorem(X2)
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_760])]) ).
fof(f2146,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),not(X2)))),X0))
| ~ theorem(X2)
| ~ theorem(X1) )
| ~ spl0_58
| ~ spl0_123 ),
inference(resolution,[],[f2066,f475]) ).
fof(f61031,plain,
( spl0_759
| ~ spl0_67
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f25509,f23982,f590,f61029]) ).
fof(f23982,plain,
( spl0_350
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f25509,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(X1),or(X2,X1))))
| ~ spl0_67
| ~ spl0_350 ),
inference(resolution,[],[f23983,f591]) ).
fof(f23983,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f23982]) ).
fof(f61027,plain,
( spl0_758
| ~ spl0_19
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2145,f2065,f117,f61025]) ).
fof(f61025,plain,
( spl0_758
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(X2)
| ~ theorem(or(not(X1),not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_758])]) ).
fof(f117,plain,
( spl0_19
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f2145,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(X2)
| ~ theorem(or(not(X1),not(X2))) )
| ~ spl0_19
| ~ spl0_123 ),
inference(resolution,[],[f2066,f118]) ).
fof(f118,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f61023,plain,
( spl0_757
| ~ spl0_12
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2017,f1851,f71,f61021]) ).
fof(f61021,plain,
( spl0_757
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X2,or(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_757])]) ).
fof(f2017,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X2,or(X0,X1))))
| ~ spl0_12
| ~ spl0_119 ),
inference(resolution,[],[f1852,f72]) ).
fof(f61019,plain,
( spl0_756
| ~ spl0_51
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2010,f1847,f357,f61017]) ).
fof(f61017,plain,
( spl0_756
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X3,or(X4,X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_756])]) ).
fof(f2010,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X3,or(X4,X1))))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_118 ),
inference(resolution,[],[f1848,f358]) ).
fof(f61015,plain,
( spl0_755
| ~ spl0_52
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2005,f1847,f361,f61013]) ).
fof(f61013,plain,
( spl0_755
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(X3,or(X4,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_755])]) ).
fof(f2005,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(X3,or(X4,X1)))) )
| ~ spl0_52
| ~ spl0_118 ),
inference(resolution,[],[f1848,f362]) ).
fof(f61011,plain,
( spl0_754
| ~ spl0_52
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1989,f1843,f361,f61009]) ).
fof(f61009,plain,
( spl0_754
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X2))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_754])]) ).
fof(f1989,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X2))
| ~ theorem(not(X0)) )
| ~ spl0_52
| ~ spl0_117 ),
inference(resolution,[],[f1844,f362]) ).
fof(f61007,plain,
( spl0_753
| ~ spl0_31
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1987,f1843,f192,f61005]) ).
fof(f61005,plain,
( spl0_753
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,X0))
| ~ theorem(or(X2,or(not(X1),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_753])]) ).
fof(f1987,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,X0))
| ~ theorem(or(X2,or(not(X1),X0))) )
| ~ spl0_31
| ~ spl0_117 ),
inference(resolution,[],[f1844,f193]) ).
fof(f61003,plain,
( spl0_752
| ~ spl0_52
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1975,f1839,f361,f61001]) ).
fof(f61001,plain,
( spl0_752
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_752])]) ).
fof(f1975,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X2))
| ~ theorem(not(X1)) )
| ~ spl0_52
| ~ spl0_116 ),
inference(resolution,[],[f1840,f362]) ).
fof(f60999,plain,
( spl0_751
| ~ spl0_31
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1973,f1839,f192,f60997]) ).
fof(f60997,plain,
( spl0_751
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,or(not(X0),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_751])]) ).
fof(f1973,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,or(not(X0),X2)))) )
| ~ spl0_31
| ~ spl0_116 ),
inference(resolution,[],[f1840,f193]) ).
fof(f60995,plain,
( spl0_750
| ~ spl0_31
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1944,f1819,f192,f60993]) ).
fof(f60993,plain,
( spl0_750
<=> ! [X0,X3,X2,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(X2,X3))
| ~ theorem(or(X2,or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_750])]) ).
fof(f1944,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(X2,X3))
| ~ theorem(or(X2,or(X1,X0))) )
| ~ spl0_31
| ~ spl0_111 ),
inference(resolution,[],[f1820,f193]) ).
fof(f60991,plain,
( spl0_749
| ~ spl0_28
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1888,f1811,f180,f60989]) ).
fof(f60989,plain,
( spl0_749
<=> ! [X2,X0,X1] : theorem(or(or(X0,not(or(X1,or(or(X1,X2),X2)))),or(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_749])]) ).
fof(f180,plain,
( spl0_28
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1888,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,not(or(X1,or(or(X1,X2),X2)))),or(X1,X2)))
| ~ spl0_28
| ~ spl0_109 ),
inference(resolution,[],[f1812,f181]) ).
fof(f181,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f60982,plain,
( spl0_748
| ~ spl0_52
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1872,f1807,f361,f60980]) ).
fof(f60980,plain,
( spl0_748
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(X1,X1),not(X0))),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_748])]) ).
fof(f1872,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(X1,X1),not(X0))),X2))
| ~ theorem(not(X1)) )
| ~ spl0_52
| ~ spl0_108 ),
inference(resolution,[],[f1808,f362]) ).
fof(f60978,plain,
( spl0_747
| ~ spl0_31
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1870,f1807,f192,f60976]) ).
fof(f60976,plain,
( spl0_747
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(or(X2,X2),not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_747])]) ).
fof(f1870,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(or(X2,X2),not(X0)))) )
| ~ spl0_31
| ~ spl0_108 ),
inference(resolution,[],[f1808,f193]) ).
fof(f60974,plain,
( spl0_746
| ~ spl0_52
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1859,f1803,f361,f60972]) ).
fof(f60972,plain,
( spl0_746
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X1,X0)),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_746])]) ).
fof(f1859,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X1,X0)),X2))
| ~ theorem(not(X1)) )
| ~ spl0_52
| ~ spl0_107 ),
inference(resolution,[],[f1804,f362]) ).
fof(f60970,plain,
( spl0_745
| ~ spl0_31
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1857,f1803,f192,f60968]) ).
fof(f60968,plain,
( spl0_745
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_745])]) ).
fof(f1857,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,or(X1,X0))) )
| ~ spl0_31
| ~ spl0_107 ),
inference(resolution,[],[f1804,f193]) ).
fof(f60966,plain,
( spl0_744
| ~ spl0_98
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1761,f1046,f1037,f60964]) ).
fof(f60964,plain,
( spl0_744
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),not(X2)))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_744])]) ).
fof(f1761,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),not(X2)))),X1)))
| ~ theorem(X2) )
| ~ spl0_98
| ~ spl0_100 ),
inference(resolution,[],[f1047,f1038]) ).
fof(f60962,plain,
( spl0_743
| ~ spl0_50
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1735,f1037,f322,f60960]) ).
fof(f60960,plain,
( spl0_743
<=> ! [X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),or(X1,X1)))),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_743])]) ).
fof(f1735,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),or(X1,X1)))),X0),X1))
| ~ spl0_50
| ~ spl0_98 ),
inference(resolution,[],[f1038,f323]) ).
fof(f60958,plain,
( spl0_742
| ~ spl0_83
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1724,f1033,f843,f60956]) ).
fof(f60956,plain,
( spl0_742
<=> ! [X0] :
( theorem(not(or(or(not(X0),not(X0)),or(not(X0),not(X0)))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_742])]) ).
fof(f1724,plain,
( ! [X0] :
( theorem(not(or(or(not(X0),not(X0)),or(not(X0),not(X0)))))
| ~ theorem(X0) )
| ~ spl0_83
| ~ spl0_97 ),
inference(resolution,[],[f1034,f844]) ).
fof(f60954,plain,
( spl0_741
| ~ spl0_68
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1023,f946,f623,f60952]) ).
fof(f60952,plain,
( spl0_741
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(not(or(X0,X4)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_741])]) ).
fof(f1023,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(not(or(X0,X4)),X3)) )
| ~ spl0_68
| ~ spl0_95 ),
inference(resolution,[],[f947,f624]) ).
fof(f60950,plain,
( spl0_740
| ~ spl0_31
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1006,f942,f192,f60948]) ).
fof(f60948,plain,
( spl0_740
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_740])]) ).
fof(f1006,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_94 ),
inference(resolution,[],[f943,f193]) ).
fof(f60946,plain,
( spl0_739
| ~ spl0_68
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f965,f915,f623,f60944]) ).
fof(f60944,plain,
( spl0_739
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(or(not(X0),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_739])]) ).
fof(f965,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(or(not(X0),X3)) )
| ~ spl0_68
| ~ spl0_87 ),
inference(resolution,[],[f916,f624]) ).
fof(f60942,plain,
( ~ spl0_738
| spl0_1
| ~ spl0_721 ),
inference(avatar_split_clause,[],[f60399,f47065,f18,f60939]) ).
fof(f60939,plain,
( spl0_738
<=> theorem(or(p,not(or(p,q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_738])]) ).
fof(f47065,plain,
( spl0_721
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f60399,plain,
( ~ theorem(or(p,not(or(p,q))))
| spl0_1
| ~ spl0_721 ),
inference(resolution,[],[f47066,f20]) ).
fof(f47066,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_721 ),
inference(avatar_component_clause,[],[f47065]) ).
fof(f60937,plain,
( spl0_737
| ~ spl0_31
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f955,f911,f192,f60935]) ).
fof(f60935,plain,
( spl0_737
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(not(X2),not(X0)))))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_737])]) ).
fof(f955,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(not(X2),not(X0)))))
| ~ theorem(or(X1,X2)) )
| ~ spl0_31
| ~ spl0_86 ),
inference(resolution,[],[f912,f193]) ).
fof(f59877,plain,
( spl0_736
| ~ spl0_16
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f25426,f22884,f92,f59875]) ).
fof(f59875,plain,
( spl0_736
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X1,X0))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_736])]) ).
fof(f22884,plain,
( spl0_338
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f25426,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X1,X0))),X1))
| ~ spl0_16
| ~ spl0_338 ),
inference(resolution,[],[f22885,f93]) ).
fof(f22885,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1)))))
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f22884]) ).
fof(f57033,plain,
( ~ spl0_735
| spl0_1
| ~ spl0_687 ),
inference(avatar_split_clause,[],[f56234,f46828,f18,f57030]) ).
fof(f57030,plain,
( spl0_735
<=> theorem(or(not(not(p)),not(or(p,q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_735])]) ).
fof(f46828,plain,
( spl0_687
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X2)),or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f56234,plain,
( ~ theorem(or(not(not(p)),not(or(p,q))))
| spl0_1
| ~ spl0_687 ),
inference(resolution,[],[f46829,f20]) ).
fof(f46829,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),or(X1,X2)))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_687 ),
inference(avatar_component_clause,[],[f46828]) ).
fof(f56127,plain,
( spl0_734
| ~ spl0_16
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f25411,f21884,f92,f56125]) ).
fof(f56125,plain,
( spl0_734
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f25411,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(X1)))
| ~ spl0_16
| ~ spl0_336 ),
inference(resolution,[],[f21885,f93]) ).
fof(f54459,plain,
( spl0_733
| ~ spl0_17
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f25400,f21884,f102,f54457]) ).
fof(f25400,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(X1),or(X1,X2))))
| ~ spl0_17
| ~ spl0_336 ),
inference(resolution,[],[f21885,f103]) ).
fof(f53641,plain,
( spl0_732
| ~ spl0_54
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f25399,f21884,f417,f53639]) ).
fof(f53639,plain,
( spl0_732
<=> ! [X2,X0,X1] : theorem(or(not(X0),or(or(X0,X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).
fof(f25399,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),or(or(X0,X1),X2)))
| ~ spl0_54
| ~ spl0_336 ),
inference(resolution,[],[f21885,f418]) ).
fof(f52691,plain,
( spl0_731
| ~ spl0_87
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f10879,f3774,f915,f52689]) ).
fof(f52689,plain,
( spl0_731
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).
fof(f10879,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(or(X1,X0)) )
| ~ spl0_87
| ~ spl0_182 ),
inference(resolution,[],[f3775,f916]) ).
fof(f51728,plain,
( spl0_730
| ~ spl0_93
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4413,f3774,f938,f51726]) ).
fof(f938,plain,
( spl0_93
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f4413,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(not(not(X1))) )
| ~ spl0_93
| ~ spl0_182 ),
inference(resolution,[],[f3775,f939]) ).
fof(f939,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f50843,plain,
( spl0_729
| ~ spl0_95
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4405,f3774,f946,f50841]) ).
fof(f50841,plain,
( spl0_729
<=> ! [X2,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).
fof(f4405,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| ~ theorem(X1) )
| ~ spl0_95
| ~ spl0_182 ),
inference(resolution,[],[f3775,f947]) ).
fof(f49706,plain,
( spl0_728
| ~ spl0_89
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4370,f3774,f923,f49704]) ).
fof(f49704,plain,
( spl0_728
<=> ! [X0] :
( ~ theorem(not(not(or(X0,X0))))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).
fof(f4370,plain,
( ! [X0] :
( ~ theorem(not(not(or(X0,X0))))
| ~ theorem(not(X0)) )
| ~ spl0_89
| ~ spl0_182 ),
inference(resolution,[],[f3775,f924]) ).
fof(f48798,plain,
( spl0_727
| ~ spl0_17
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f3963,f1823,f102,f48796]) ).
fof(f3963,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,not(X1)),X2)))
| ~ spl0_17
| ~ spl0_112 ),
inference(resolution,[],[f1824,f103]) ).
fof(f47940,plain,
( spl0_726
| ~ spl0_67
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f3244,f907,f590,f47938]) ).
fof(f47938,plain,
( spl0_726
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X0),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f3244,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X0),X2))))
| ~ spl0_67
| ~ spl0_85 ),
inference(resolution,[],[f908,f591]) ).
fof(f47085,plain,
( spl0_725
| ~ spl0_95
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f23122,f22892,f946,f47083]) ).
fof(f47083,plain,
( spl0_725
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,X2)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f23122,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,X2)))
| ~ theorem(X0) )
| ~ spl0_95
| ~ spl0_340 ),
inference(resolution,[],[f22893,f947]) ).
fof(f47081,plain,
( spl0_724
| ~ spl0_21
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f22819,f21799,f135,f47079]) ).
fof(f47079,plain,
( spl0_724
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(not(X1)),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f22819,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(not(X1)),X0)),X1)) )
| ~ spl0_21
| ~ spl0_335 ),
inference(resolution,[],[f21800,f136]) ).
fof(f47077,plain,
( spl0_723
| ~ spl0_75
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f20790,f20386,f744,f47075]) ).
fof(f47075,plain,
( spl0_723
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
fof(f20790,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(not(X2)) )
| ~ spl0_75
| ~ spl0_309 ),
inference(resolution,[],[f20387,f745]) ).
fof(f47073,plain,
( spl0_722
| ~ spl0_104
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f19550,f19275,f1706,f47071]) ).
fof(f47071,plain,
( spl0_722
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X1)),or(X2,X1)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f19275,plain,
( spl0_296
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(or(not(X1),X2),or(not(X1),X2))))
| theorem(or(X0,or(X3,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f19550,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X1)),or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_104
| ~ spl0_296 ),
inference(resolution,[],[f19276,f1707]) ).
fof(f19276,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(or(not(X1),X2),or(not(X1),X2))))
| theorem(or(X0,or(X3,X2)))
| ~ theorem(X1) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f19275]) ).
fof(f47067,plain,
( spl0_721
| ~ spl0_11
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f18949,f6770,f66,f47065]) ).
fof(f18949,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_11
| ~ spl0_281 ),
inference(resolution,[],[f6771,f67]) ).
fof(f47063,plain,
( spl0_720
| ~ spl0_26
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f18721,f6758,f163,f47061]) ).
fof(f47061,plain,
( spl0_720
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(X1,not(X2)))),or(X0,X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).
fof(f18721,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(X1,not(X2)))),or(X0,X1)))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_278 ),
inference(resolution,[],[f6759,f164]) ).
fof(f47059,plain,
( spl0_719
| ~ spl0_11
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f18677,f6758,f66,f47057]) ).
fof(f47057,plain,
( spl0_719
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(X2,not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f18677,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(X2,not(X1))) )
| ~ spl0_11
| ~ spl0_278 ),
inference(resolution,[],[f6759,f67]) ).
fof(f47055,plain,
( spl0_718
| ~ spl0_76
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f7360,f6706,f748,f47053]) ).
fof(f47053,plain,
( spl0_718
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,not(not(X3))))))
| ~ theorem(or(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f7360,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,not(not(X3))))))
| ~ theorem(or(X2,X3)) )
| ~ spl0_76
| ~ spl0_265 ),
inference(resolution,[],[f6707,f749]) ).
fof(f47051,plain,
( spl0_717
| ~ spl0_26
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f7331,f6706,f163,f47049]) ).
fof(f47049,plain,
( spl0_717
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f7331,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X3,X0))) )
| ~ spl0_26
| ~ spl0_265 ),
inference(resolution,[],[f6707,f164]) ).
fof(f47047,plain,
( spl0_716
| ~ spl0_75
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f7283,f6706,f744,f47045]) ).
fof(f47045,plain,
( spl0_716
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(not(X0)),or(X1,or(X2,X3))))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
fof(f7283,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(not(X0)),or(X1,or(X2,X3))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_75
| ~ spl0_265 ),
inference(resolution,[],[f6707,f745]) ).
fof(f47043,plain,
( spl0_715
| ~ spl0_7
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f7147,f6702,f46,f47041]) ).
fof(f47041,plain,
( spl0_715
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
fof(f7147,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ theorem(X0) )
| ~ spl0_7
| ~ spl0_264 ),
inference(resolution,[],[f6703,f47]) ).
fof(f47039,plain,
( spl0_714
| ~ spl0_76
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f7080,f6698,f748,f47037]) ).
fof(f47037,plain,
( spl0_714
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(not(not(X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f7080,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(not(not(X2)),X3)) )
| ~ spl0_76
| ~ spl0_263 ),
inference(resolution,[],[f6699,f749]) ).
fof(f47035,plain,
( spl0_713
| ~ spl0_95
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5480,f5156,f946,f47033]) ).
fof(f47033,plain,
( spl0_713
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,not(or(X1,or(X2,X3))))),X0))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f5480,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,or(X2,X3))))),X0))
| ~ theorem(X2) )
| ~ spl0_95
| ~ spl0_221 ),
inference(resolution,[],[f5157,f947]) ).
fof(f47031,plain,
( spl0_712
| ~ spl0_176
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f5046,f4441,f3262,f47029]) ).
fof(f47029,plain,
( spl0_712
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(or(not(X1),not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).
fof(f5046,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(or(not(X1),not(X1))) )
| ~ spl0_176
| ~ spl0_213 ),
inference(duplicate_literal_removal,[],[f5042]) ).
fof(f5042,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(X0)
| ~ theorem(or(not(X1),not(X1))) )
| ~ spl0_176
| ~ spl0_213 ),
inference(resolution,[],[f4442,f3263]) ).
fof(f47027,plain,
( spl0_711
| ~ spl0_370
| ~ spl0_506 ),
inference(avatar_split_clause,[],[f34551,f32328,f25340,f47025]) ).
fof(f47025,plain,
( spl0_711
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(not(not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).
fof(f25340,plain,
( spl0_370
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f32328,plain,
( spl0_506
<=> ! [X0] : theorem(or(X0,not(not(not(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f34551,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(not(not(not(not(X0))))) )
| ~ spl0_370
| ~ spl0_506 ),
inference(resolution,[],[f32329,f25341]) ).
fof(f25341,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X0)
| ~ theorem(not(X1)) )
| ~ spl0_370 ),
inference(avatar_component_clause,[],[f25340]) ).
fof(f32329,plain,
( ! [X0] : theorem(or(X0,not(not(not(X0)))))
| ~ spl0_506 ),
inference(avatar_component_clause,[],[f32328]) ).
fof(f47023,plain,
( spl0_710
| ~ spl0_10
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f4938,f4437,f60,f47021]) ).
fof(f4938,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X3,X3))) )
| ~ spl0_10
| ~ spl0_212 ),
inference(resolution,[],[f4438,f61]) ).
fof(f47019,plain,
( spl0_709
| ~ spl0_75
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f4936,f4437,f744,f47017]) ).
fof(f47017,plain,
( spl0_709
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).
fof(f4936,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(or(X0,X3)) )
| ~ spl0_75
| ~ spl0_212 ),
inference(resolution,[],[f4438,f745]) ).
fof(f47015,plain,
( spl0_708
| ~ spl0_7
| ~ spl0_212 ),
inference(avatar_split_clause,[],[f4935,f4437,f46,f47013]) ).
fof(f47013,plain,
( spl0_708
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(or(X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f4935,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(or(X0,X4)) )
| ~ spl0_7
| ~ spl0_212 ),
inference(resolution,[],[f4438,f47]) ).
fof(f47011,plain,
( spl0_707
| ~ spl0_84
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f4897,f4429,f847,f47009]) ).
fof(f47009,plain,
( spl0_707
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X0)))))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f4897,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X0)))))
| ~ theorem(or(X1,X2)) )
| ~ spl0_84
| ~ spl0_210 ),
inference(resolution,[],[f4430,f848]) ).
fof(f47007,plain,
( spl0_706
| ~ spl0_159
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f4807,f4425,f2627,f47005]) ).
fof(f47005,plain,
( spl0_706
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2))
| theorem(X1)
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f4807,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2))
| theorem(X1)
| ~ theorem(or(X2,X0)) )
| ~ spl0_159
| ~ spl0_209 ),
inference(resolution,[],[f4426,f2628]) ).
fof(f47003,plain,
( spl0_705
| ~ spl0_40
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4756,f4367,f268,f47001]) ).
fof(f47001,plain,
( spl0_705
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(not(not(X2))))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f4756,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(not(not(X2))))),X1)))
| ~ theorem(X2) )
| ~ spl0_40
| ~ spl0_207 ),
inference(resolution,[],[f4368,f269]) ).
fof(f46999,plain,
( spl0_704
| ~ spl0_10
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4711,f4367,f60,f46997]) ).
fof(f46997,plain,
( spl0_704
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f4711,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X2,X2)) )
| ~ spl0_10
| ~ spl0_207 ),
inference(resolution,[],[f4368,f61]) ).
fof(f46995,plain,
( spl0_703
| ~ spl0_75
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4709,f4367,f744,f46993]) ).
fof(f46993,plain,
( spl0_703
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f4709,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(X2) )
| ~ spl0_75
| ~ spl0_207 ),
inference(resolution,[],[f4368,f745]) ).
fof(f46991,plain,
( spl0_702
| ~ spl0_7
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4708,f4367,f46,f46989]) ).
fof(f46989,plain,
( spl0_702
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f4708,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(X3) )
| ~ spl0_7
| ~ spl0_207 ),
inference(resolution,[],[f4368,f47]) ).
fof(f46987,plain,
( spl0_701
| ~ spl0_78
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f4687,f4363,f778,f46985]) ).
fof(f46985,plain,
( spl0_701
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,X2)))
| ~ theorem(or(X1,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f4687,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,X2)))
| ~ theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_78
| ~ spl0_206 ),
inference(resolution,[],[f4364,f779]) ).
fof(f46887,plain,
( spl0_700
| ~ spl0_94
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4183,f3840,f942,f46885]) ).
fof(f46885,plain,
( spl0_700
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),X1),not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f4183,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),X1),not(X2))) )
| ~ spl0_94
| ~ spl0_193 ),
inference(resolution,[],[f3841,f943]) ).
fof(f46883,plain,
( spl0_699
| ~ spl0_48
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f4143,f3814,f314,f46881]) ).
fof(f46881,plain,
( spl0_699
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(or(X1,X1),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f4143,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(or(X1,X1),X0)),X1)) )
| ~ spl0_48
| ~ spl0_192 ),
inference(resolution,[],[f3815,f315]) ).
fof(f46879,plain,
( spl0_698
| ~ spl0_48
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f3992,f3798,f314,f46877]) ).
fof(f46877,plain,
( spl0_698
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(or(X0,X1),or(X0,X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f3992,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(or(X0,X1),or(X0,X1))),X1)) )
| ~ spl0_48
| ~ spl0_188 ),
inference(resolution,[],[f3799,f315]) ).
fof(f46875,plain,
( spl0_697
| ~ spl0_48
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f3972,f3794,f314,f46873]) ).
fof(f46873,plain,
( spl0_697
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,or(X0,X2))),or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f3972,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,or(X0,X2))),or(X1,X2))) )
| ~ spl0_48
| ~ spl0_187 ),
inference(resolution,[],[f3795,f315]) ).
fof(f46871,plain,
( spl0_696
| ~ spl0_15
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f3935,f3778,f85,f46869]) ).
fof(f46869,plain,
( spl0_696
<=> ! [X2,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| theorem(not(or(X1,or(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f3935,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| theorem(not(or(X1,or(X0,X2)))) )
| ~ spl0_15
| ~ spl0_183 ),
inference(resolution,[],[f3779,f86]) ).
fof(f46867,plain,
( spl0_695
| ~ spl0_123
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f3676,f3258,f2065,f46865]) ).
fof(f46865,plain,
( spl0_695
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(or(not(X1),not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f3676,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(or(not(X1),not(X1))) )
| ~ spl0_123
| ~ spl0_175 ),
inference(resolution,[],[f3259,f2066]) ).
fof(f46863,plain,
( spl0_694
| ~ spl0_131
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3648,f3235,f2097,f46861]) ).
fof(f46861,plain,
( spl0_694
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,X2),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f3648,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,X2),or(X0,X2))) )
| ~ spl0_131
| ~ spl0_174 ),
inference(resolution,[],[f3236,f2098]) ).
fof(f46859,plain,
( spl0_693
| ~ spl0_11
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3516,f3227,f66,f46857]) ).
fof(f46857,plain,
( spl0_693
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f3516,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(or(X2,X1)) )
| ~ spl0_11
| ~ spl0_172 ),
inference(resolution,[],[f3228,f67]) ).
fof(f46855,plain,
( spl0_692
| ~ spl0_104
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3415,f3223,f1706,f46853]) ).
fof(f46853,plain,
( spl0_692
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f3415,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(X1) )
| ~ spl0_104
| ~ spl0_171 ),
inference(resolution,[],[f3224,f1707]) ).
fof(f46851,plain,
( spl0_691
| ~ spl0_111
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f3274,f3203,f1819,f46849]) ).
fof(f46849,plain,
( spl0_691
<=> ! [X2,X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,X2)))))
| ~ theorem(not(or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f3274,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,X2)))))
| ~ theorem(not(or(X2,X1))) )
| ~ spl0_111
| ~ spl0_166 ),
inference(resolution,[],[f3204,f1820]) ).
fof(f46842,plain,
( spl0_690
| ~ spl0_16
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3193,f2647,f92,f46840]) ).
fof(f46840,plain,
( spl0_690
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X0,X2)),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f3193,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X0,X2)),X1),X2)) )
| ~ spl0_16
| ~ spl0_164 ),
inference(resolution,[],[f2648,f93]) ).
fof(f46838,plain,
( spl0_689
| ~ spl0_54
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3187,f2647,f417,f46836]) ).
fof(f46836,plain,
( spl0_689
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,not(or(X0,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f3187,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,not(or(X0,X2))))) )
| ~ spl0_54
| ~ spl0_164 ),
inference(resolution,[],[f2648,f418]) ).
fof(f46834,plain,
( spl0_688
| ~ spl0_16
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3182,f2643,f92,f46832]) ).
fof(f46832,plain,
( spl0_688
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f3182,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X0,X2)))) )
| ~ spl0_16
| ~ spl0_163 ),
inference(resolution,[],[f2644,f93]) ).
fof(f46830,plain,
( spl0_687
| ~ spl0_54
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3175,f2643,f417,f46828]) ).
fof(f3175,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X2)),or(X1,X2))) )
| ~ spl0_54
| ~ spl0_163 ),
inference(resolution,[],[f2644,f418]) ).
fof(f46826,plain,
( spl0_686
| ~ spl0_119
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3172,f2643,f1851,f46824]) ).
fof(f46824,plain,
( spl0_686
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X1)),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f3172,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X1)),or(X2,X1))) )
| ~ spl0_119
| ~ spl0_163 ),
inference(resolution,[],[f2644,f1852]) ).
fof(f46822,plain,
( spl0_685
| ~ spl0_16
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3153,f2639,f92,f46820]) ).
fof(f46820,plain,
( spl0_685
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X1,or(X3,X2)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f3153,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X1,or(X3,X2)),X0)) )
| ~ spl0_16
| ~ spl0_162 ),
inference(resolution,[],[f2640,f93]) ).
fof(f46818,plain,
( spl0_684
| ~ spl0_17
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3147,f2639,f102,f46816]) ).
fof(f46816,plain,
( spl0_684
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f3147,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,or(X3,X2)))) )
| ~ spl0_17
| ~ spl0_162 ),
inference(resolution,[],[f2640,f103]) ).
fof(f46814,plain,
( spl0_683
| ~ spl0_54
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3146,f2639,f417,f46812]) ).
fof(f46812,plain,
( spl0_683
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X3,X2),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f3146,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X3,X2),X1))) )
| ~ spl0_54
| ~ spl0_162 ),
inference(resolution,[],[f2640,f418]) ).
fof(f46810,plain,
( spl0_682
| ~ spl0_50
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3144,f2639,f322,f46808]) ).
fof(f46808,plain,
( spl0_682
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X2),X2)))
| theorem(or(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f3144,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X2),X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_50
| ~ spl0_162 ),
inference(resolution,[],[f2640,f323]) ).
fof(f46806,plain,
( spl0_681
| ~ spl0_22
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3100,f2635,f139,f46804]) ).
fof(f46804,plain,
( spl0_681
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(or(not(X0),not(X0)))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f3100,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(or(not(X0),not(X0)))),X1)) )
| ~ spl0_22
| ~ spl0_161 ),
inference(resolution,[],[f2636,f140]) ).
fof(f46657,plain,
( spl0_680
| ~ spl0_47
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3071,f2635,f310,f46655]) ).
fof(f46655,plain,
( spl0_680
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f3071,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_161 ),
inference(resolution,[],[f2636,f311]) ).
fof(f46653,plain,
( spl0_679
| ~ spl0_16
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3054,f2631,f92,f46651]) ).
fof(f46651,plain,
( spl0_679
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X3,or(X2,X1)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f3054,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X3,or(X2,X1)),X0)) )
| ~ spl0_16
| ~ spl0_160 ),
inference(resolution,[],[f2632,f93]) ).
fof(f46649,plain,
( spl0_678
| ~ spl0_17
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3048,f2631,f102,f46647]) ).
fof(f46647,plain,
( spl0_678
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X0,or(X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f3048,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X0,or(X2,X1)))) )
| ~ spl0_17
| ~ spl0_160 ),
inference(resolution,[],[f2632,f103]) ).
fof(f46645,plain,
( spl0_677
| ~ spl0_54
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3047,f2631,f417,f46643]) ).
fof(f46643,plain,
( spl0_677
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X2,X1),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f3047,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X2,X1),X3))) )
| ~ spl0_54
| ~ spl0_160 ),
inference(resolution,[],[f2632,f418]) ).
fof(f46641,plain,
( spl0_676
| ~ spl0_67
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3043,f2631,f590,f46639]) ).
fof(f46639,plain,
( spl0_676
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X2,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f3043,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X2,or(X3,X1)))) )
| ~ spl0_67
| ~ spl0_160 ),
inference(resolution,[],[f2632,f591]) ).
fof(f46637,plain,
( spl0_675
| ~ spl0_109
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3008,f2623,f1811,f46635]) ).
fof(f46635,plain,
( spl0_675
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(not(X1),X0))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f2623,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f3008,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(not(X1),X0))),X0)) )
| ~ spl0_109
| ~ spl0_158 ),
inference(resolution,[],[f2624,f1812]) ).
fof(f2624,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X2),not(or(not(X1),X2))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f2623]) ).
fof(f46633,plain,
( spl0_674
| ~ spl0_16
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f2998,f2614,f92,f46631]) ).
fof(f46631,plain,
( spl0_674
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(not(X1),X2)),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f2614,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f2998,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(not(X1),X2)),X2),X0)) )
| ~ spl0_16
| ~ spl0_156 ),
inference(resolution,[],[f2615,f93]) ).
fof(f2615,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f46629,plain,
( spl0_673
| ~ spl0_54
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f2990,f2614,f417,f46627]) ).
fof(f46627,plain,
( spl0_673
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f2990,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),X2))))) )
| ~ spl0_54
| ~ spl0_156 ),
inference(resolution,[],[f2615,f418]) ).
fof(f46625,plain,
( spl0_672
| ~ spl0_16
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f2987,f2610,f92,f46623]) ).
fof(f46623,plain,
( spl0_672
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X0),not(or(not(X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f2610,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f2987,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X0),not(or(not(X1),X2)))) )
| ~ spl0_16
| ~ spl0_155 ),
inference(resolution,[],[f2611,f93]) ).
fof(f2611,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X1),X2)),or(X2,X0)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f46621,plain,
( spl0_671
| ~ spl0_17
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f2981,f2610,f102,f46619]) ).
fof(f46619,plain,
( spl0_671
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(not(or(not(X1),X2)),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f2981,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(not(or(not(X1),X2)),X0))) )
| ~ spl0_17
| ~ spl0_155 ),
inference(resolution,[],[f2611,f103]) ).
fof(f46605,plain,
( spl0_670
| ~ spl0_16
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f2953,f2602,f92,f46603]) ).
fof(f46603,plain,
( spl0_670
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(X2,not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f2953,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(X2,not(X1))))) )
| ~ spl0_16
| ~ spl0_153 ),
inference(resolution,[],[f2603,f93]) ).
fof(f46601,plain,
( spl0_669
| ~ spl0_54
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f2946,f2602,f417,f46599]) ).
fof(f46599,plain,
( spl0_669
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f2946,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X2,X0))) )
| ~ spl0_54
| ~ spl0_153 ),
inference(resolution,[],[f2603,f418]) ).
fof(f46597,plain,
( spl0_668
| ~ spl0_119
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f2943,f2602,f1851,f46595]) ).
fof(f46595,plain,
( spl0_668
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X0,not(X1))),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f2943,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X0,not(X1))),or(X2,X0))) )
| ~ spl0_119
| ~ spl0_153 ),
inference(resolution,[],[f2603,f1852]) ).
fof(f46593,plain,
( spl0_667
| ~ spl0_16
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f2922,f2598,f92,f46591]) ).
fof(f46591,plain,
( spl0_667
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(X2,not(X1)))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f2922,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(X2,not(X1)))),X0)) )
| ~ spl0_16
| ~ spl0_152 ),
inference(resolution,[],[f2599,f93]) ).
fof(f46589,plain,
( spl0_666
| ~ spl0_17
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f2916,f2598,f102,f46587]) ).
fof(f46587,plain,
( spl0_666
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(or(X2,not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f2916,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(or(X2,not(X1)))))) )
| ~ spl0_17
| ~ spl0_152 ),
inference(resolution,[],[f2599,f103]) ).
fof(f46585,plain,
( spl0_665
| ~ spl0_109
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f2907,f2594,f1811,f46583]) ).
fof(f46583,plain,
( spl0_665
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,not(or(X2,or(not(X0),X2)))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f2594,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f2907,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,not(or(X2,or(not(X0),X2)))),X2)) )
| ~ spl0_109
| ~ spl0_151 ),
inference(resolution,[],[f2595,f1812]) ).
fof(f2595,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2)))))
| ~ theorem(X0) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f2594]) ).
fof(f46581,plain,
( spl0_664
| ~ spl0_16
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f2899,f2590,f92,f46579]) ).
fof(f46579,plain,
( spl0_664
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,or(not(X0),X2))),X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f2899,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,or(not(X0),X2))),X2),X1)) )
| ~ spl0_16
| ~ spl0_150 ),
inference(resolution,[],[f2591,f93]) ).
fof(f46577,plain,
( spl0_663
| ~ spl0_54
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f2893,f2590,f417,f46575]) ).
fof(f46575,plain,
( spl0_663
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(X1,or(not(X0),X2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f2893,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(X1,or(not(X0),X2)))))) )
| ~ spl0_54
| ~ spl0_150 ),
inference(resolution,[],[f2591,f418]) ).
fof(f46573,plain,
( spl0_662
| ~ spl0_16
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2890,f2586,f92,f46571]) ).
fof(f46571,plain,
( spl0_662
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X2,or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f2890,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X2,or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_149 ),
inference(resolution,[],[f2587,f93]) ).
fof(f46569,plain,
( spl0_661
| ~ spl0_17
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2884,f2586,f102,f46567]) ).
fof(f46567,plain,
( spl0_661
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X2,or(not(X0),X1))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f2884,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X2,or(not(X0),X1))),X2))) )
| ~ spl0_17
| ~ spl0_149 ),
inference(resolution,[],[f2587,f103]) ).
fof(f46553,plain,
( spl0_660
| ~ spl0_47
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2810,f2582,f310,f46551]) ).
fof(f46551,plain,
( spl0_660
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,not(X1)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f2810,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,not(X1)))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_148 ),
inference(resolution,[],[f2583,f311]) ).
fof(f46549,plain,
( spl0_659
| ~ spl0_16
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2803,f2578,f92,f46547]) ).
fof(f46547,plain,
( spl0_659
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(X1,X0),or(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f2803,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(X1,X0),or(X3,X2))) )
| ~ spl0_16
| ~ spl0_147 ),
inference(resolution,[],[f2579,f93]) ).
fof(f46545,plain,
( spl0_658
| ~ spl0_17
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2795,f2578,f102,f46543]) ).
fof(f46543,plain,
( spl0_658
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X1,or(or(X3,X2),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f2795,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X1,or(or(X3,X2),X0))) )
| ~ spl0_17
| ~ spl0_147 ),
inference(resolution,[],[f2579,f103]) ).
fof(f46541,plain,
( spl0_657
| ~ spl0_109
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2789,f2578,f1811,f46539]) ).
fof(f46539,plain,
( spl0_657
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(X3,or(X1,X0)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f2789,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(X3,or(X1,X0)),X2)) )
| ~ spl0_109
| ~ spl0_147 ),
inference(resolution,[],[f2579,f1812]) ).
fof(f46537,plain,
( spl0_656
| ~ spl0_48
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2788,f2578,f314,f46535]) ).
fof(f46535,plain,
( spl0_656
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),or(X1,X0)))
| theorem(or(X2,or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f2788,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),or(X1,X0)))
| theorem(or(X2,or(X1,X0))) )
| ~ spl0_48
| ~ spl0_147 ),
inference(resolution,[],[f2579,f315]) ).
fof(f46533,plain,
( spl0_655
| ~ spl0_16
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f2781,f2574,f92,f46531]) ).
fof(f46531,plain,
( spl0_655
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X1,not(or(X2,X0))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f2574,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f2781,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X1,not(or(X2,X0))),X2)) )
| ~ spl0_16
| ~ spl0_146 ),
inference(resolution,[],[f2575,f93]) ).
fof(f2575,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f2574]) ).
fof(f46529,plain,
( spl0_654
| ~ spl0_17
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f2777,f2574,f102,f46527]) ).
fof(f46527,plain,
( spl0_654
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,or(X2,not(or(X2,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f2777,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,or(X2,not(or(X2,X0))))) )
| ~ spl0_17
| ~ spl0_146 ),
inference(resolution,[],[f2575,f103]) ).
fof(f46525,plain,
( spl0_653
| ~ spl0_16
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2771,f2570,f92,f46523]) ).
fof(f46523,plain,
( spl0_653
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(or(X2,X1),not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f2771,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(or(X2,X1),not(X0))))) )
| ~ spl0_16
| ~ spl0_145 ),
inference(resolution,[],[f2571,f93]) ).
fof(f46521,plain,
( spl0_652
| ~ spl0_17
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2765,f2570,f102,f46519]) ).
fof(f46519,plain,
( spl0_652
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X2,X1),not(X0))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f2765,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X2,X1),not(X0))),X2))) )
| ~ spl0_17
| ~ spl0_145 ),
inference(resolution,[],[f2571,f103]) ).
fof(f46517,plain,
( spl0_651
| ~ spl0_16
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f2755,f2566,f92,f46515]) ).
fof(f46515,plain,
( spl0_651
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X1,X2),not(or(X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f2755,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X1,X2),not(or(X2,X0)))) )
| ~ spl0_16
| ~ spl0_144 ),
inference(resolution,[],[f2567,f93]) ).
fof(f46394,plain,
( spl0_650
| ~ spl0_17
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f2749,f2566,f102,f46392]) ).
fof(f46392,plain,
( spl0_650
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f2749,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,or(not(or(X2,X0)),X2))) )
| ~ spl0_17
| ~ spl0_144 ),
inference(resolution,[],[f2567,f103]) ).
fof(f46390,plain,
( spl0_649
| ~ spl0_16
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f2731,f2562,f92,f46388]) ).
fof(f46388,plain,
( spl0_649
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X1,or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f2731,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X1,or(X0,X2)),X3)) )
| ~ spl0_16
| ~ spl0_143 ),
inference(resolution,[],[f2563,f93]) ).
fof(f46386,plain,
( spl0_648
| ~ spl0_17
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f2725,f2562,f102,f46384]) ).
fof(f46384,plain,
( spl0_648
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X3,or(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f2725,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X3,or(X0,X2)))) )
| ~ spl0_17
| ~ spl0_143 ),
inference(resolution,[],[f2563,f103]) ).
fof(f46382,plain,
( spl0_647
| ~ spl0_16
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2711,f2558,f92,f46380]) ).
fof(f46380,plain,
( spl0_647
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(or(X3,X2),X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f2711,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(or(X3,X2),X1),X0)) )
| ~ spl0_16
| ~ spl0_142 ),
inference(resolution,[],[f2559,f93]) ).
fof(f46378,plain,
( spl0_646
| ~ spl0_54
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2703,f2558,f417,f46376]) ).
fof(f46376,plain,
( spl0_646
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(X1,or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f2703,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(X1,or(X3,X2)))) )
| ~ spl0_54
| ~ spl0_142 ),
inference(resolution,[],[f2559,f418]) ).
fof(f46374,plain,
( spl0_645
| ~ spl0_16
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2658,f2550,f92,f46372]) ).
fof(f46372,plain,
( spl0_645
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(or(X1,X2),not(X0))),X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f2658,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(or(X1,X2),not(X0))),X2),X1)) )
| ~ spl0_16
| ~ spl0_140 ),
inference(resolution,[],[f2551,f93]) ).
fof(f46370,plain,
( spl0_644
| ~ spl0_54
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2652,f2550,f417,f46368]) ).
fof(f46368,plain,
( spl0_644
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(or(X1,X2),not(X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f2652,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(or(X1,X2),not(X0)))))) )
| ~ spl0_54
| ~ spl0_140 ),
inference(resolution,[],[f2551,f418]) ).
fof(f46366,plain,
( spl0_643
| ~ spl0_135
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2539,f2127,f2115,f46364]) ).
fof(f46364,plain,
( spl0_643
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),X0)),X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f2539,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),X0)),X2)))
| ~ theorem(X1) )
| ~ spl0_135
| ~ spl0_138 ),
inference(resolution,[],[f2128,f2116]) ).
fof(f46362,plain,
( spl0_642
| ~ spl0_135
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2525,f2123,f2115,f46360]) ).
fof(f46360,plain,
( spl0_642
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),or(X0,X2))),X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f2525,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),or(X0,X2))),X2)))
| ~ theorem(X1) )
| ~ spl0_135
| ~ spl0_137 ),
inference(resolution,[],[f2124,f2116]) ).
fof(f46358,plain,
( spl0_641
| ~ spl0_135
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2517,f2119,f2115,f46356]) ).
fof(f46356,plain,
( spl0_641
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X2)),or(X2,X1)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f2517,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X2)),or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_135
| ~ spl0_136 ),
inference(resolution,[],[f2120,f2116]) ).
fof(f46354,plain,
( spl0_640
| ~ spl0_107
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f31542,f31535,f1803,f46352]) ).
fof(f46352,plain,
( spl0_640
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(not(not(X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f31542,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(not(not(X0)),X0)) )
| ~ spl0_107
| ~ spl0_485 ),
inference(resolution,[],[f31536,f1804]) ).
fof(f46350,plain,
( spl0_639
| ~ spl0_51
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2368,f2093,f357,f46348]) ).
fof(f46348,plain,
( spl0_639
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X2,X1),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f2368,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X2,X1),or(X2,X1))) )
| ~ spl0_51
| ~ spl0_130 ),
inference(resolution,[],[f2094,f358]) ).
fof(f46346,plain,
( spl0_638
| ~ spl0_51
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2353,f2089,f357,f46344]) ).
fof(f46344,plain,
( spl0_638
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(or(X1,X2),X3)))
| ~ theorem(or(X1,or(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f2353,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X1,X2),X3)))
| ~ theorem(or(X1,or(X3,X2))) )
| ~ spl0_51
| ~ spl0_129 ),
inference(resolution,[],[f2090,f358]) ).
fof(f46342,plain,
( spl0_637
| ~ spl0_25
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2346,f2085,f159,f46340]) ).
fof(f46340,plain,
( spl0_637
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,not(or(X1,X0))),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f2346,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,not(or(X1,X0))),X3)) )
| ~ spl0_25
| ~ spl0_128 ),
inference(resolution,[],[f2086,f160]) ).
fof(f46338,plain,
( spl0_636
| ~ spl0_46
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2338,f2085,f300,f46336]) ).
fof(f46336,plain,
( spl0_636
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(or(not(or(X0,X1)),X0)))
| theorem(or(or(X2,X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f2338,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(not(or(X0,X1)),X0)))
| theorem(or(or(X2,X1),X3)) )
| ~ spl0_46
| ~ spl0_128 ),
inference(resolution,[],[f2086,f301]) ).
fof(f46334,plain,
( spl0_635
| ~ spl0_84
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2329,f2085,f847,f46332]) ).
fof(f46332,plain,
( spl0_635
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(X2,not(or(X2,X0)))),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f2329,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(X2,not(or(X2,X0)))),X3)) )
| ~ spl0_84
| ~ spl0_128 ),
inference(resolution,[],[f2086,f848]) ).
fof(f46330,plain,
( spl0_634
| ~ spl0_81
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2315,f2085,f835,f46328]) ).
fof(f46328,plain,
( spl0_634
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(not(or(X0,X2)),X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f2315,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(not(or(X0,X2)),X2)),X3)) )
| ~ spl0_81
| ~ spl0_128 ),
inference(resolution,[],[f2086,f836]) ).
fof(f46326,plain,
( spl0_633
| ~ spl0_26
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2311,f2085,f163,f46324]) ).
fof(f46324,plain,
( spl0_633
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(not(or(X2,X0)),X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f2311,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(not(or(X2,X0)),X2)),X3)) )
| ~ spl0_26
| ~ spl0_128 ),
inference(resolution,[],[f2086,f164]) ).
fof(f46322,plain,
( spl0_632
| ~ spl0_11
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2289,f2085,f66,f46320]) ).
fof(f46320,plain,
( spl0_632
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(or(X2,or(X1,X0)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f2289,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(or(X2,or(X1,X0)),X3)) )
| ~ spl0_11
| ~ spl0_128 ),
inference(resolution,[],[f2086,f67]) ).
fof(f46318,plain,
( spl0_631
| ~ spl0_84
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2251,f2073,f847,f46316]) ).
fof(f46316,plain,
( spl0_631
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,not(or(X3,not(X0))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f2251,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,not(or(X3,not(X0))))))) )
| ~ spl0_84
| ~ spl0_125 ),
inference(resolution,[],[f2074,f848]) ).
fof(f46314,plain,
( spl0_630
| ~ spl0_81
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2237,f2073,f835,f46312]) ).
fof(f46312,plain,
( spl0_630
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(not(or(not(X0),X3)),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f2237,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(not(or(not(X0),X3)),X3)))) )
| ~ spl0_81
| ~ spl0_125 ),
inference(resolution,[],[f2074,f836]) ).
fof(f46258,plain,
( spl0_629
| ~ spl0_26
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2233,f2073,f163,f46256]) ).
fof(f46256,plain,
( spl0_629
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(not(or(X3,not(X0))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f2233,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(not(or(X3,not(X0))),X3)))) )
| ~ spl0_26
| ~ spl0_125 ),
inference(resolution,[],[f2074,f164]) ).
fof(f46254,plain,
( spl0_628
| ~ spl0_97
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2223,f2073,f1033,f46252]) ).
fof(f46252,plain,
( spl0_628
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X0),or(X0,X0)))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f2223,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X0),or(X0,X0)))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_97
| ~ spl0_125 ),
inference(resolution,[],[f2074,f1034]) ).
fof(f46250,plain,
( spl0_627
| ~ spl0_104
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2215,f2073,f1706,f46248]) ).
fof(f46248,plain,
( spl0_627
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,or(X0,or(X4,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f2215,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,or(X0,or(X4,X1))))) )
| ~ spl0_104
| ~ spl0_125 ),
inference(resolution,[],[f2074,f1707]) ).
fof(f46246,plain,
( spl0_626
| ~ spl0_51
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2190,f2069,f357,f46244]) ).
fof(f46244,plain,
( spl0_626
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(or(X1,X2),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f2190,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(or(X1,X2),X2))) )
| ~ spl0_51
| ~ spl0_124 ),
inference(resolution,[],[f2070,f358]) ).
fof(f46242,plain,
( spl0_625
| ~ spl0_46
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2182,f2065,f300,f46240]) ).
fof(f46240,plain,
( spl0_625
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,not(X2)))),X0),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f2182,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,not(X2)))),X0),X1))
| ~ theorem(X2) )
| ~ spl0_46
| ~ spl0_123 ),
inference(resolution,[],[f2066,f301]) ).
fof(f46238,plain,
( spl0_624
| ~ spl0_121
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2176,f2065,f2056,f46236]) ).
fof(f46236,plain,
( spl0_624
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,not(X2)))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f2176,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,not(X2)))),X1)))
| ~ theorem(X2) )
| ~ spl0_121
| ~ spl0_123 ),
inference(resolution,[],[f2066,f2057]) ).
fof(f46234,plain,
( spl0_623
| ~ spl0_6
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2140,f2056,f41,f46232]) ).
fof(f46232,plain,
( spl0_623
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(not(X1),X2))),X0),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f2140,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(not(X1),X2))),X0),X2))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_121 ),
inference(resolution,[],[f2057,f42]) ).
fof(f46230,plain,
( spl0_622
| ~ spl0_49
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2053,f1851,f318,f46228]) ).
fof(f2053,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X3),X1)) )
| ~ spl0_49
| ~ spl0_119 ),
inference(resolution,[],[f1852,f319]) ).
fof(f46226,plain,
( spl0_621
| ~ spl0_61
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2027,f1851,f486,f46224]) ).
fof(f46224,plain,
( spl0_621
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f2027,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X1,X0)) )
| ~ spl0_61
| ~ spl0_119 ),
inference(resolution,[],[f1852,f487]) ).
fof(f46222,plain,
( spl0_620
| ~ spl0_47
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2024,f1851,f310,f46220]) ).
fof(f46220,plain,
( spl0_620
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),or(X2,X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f2024,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),or(X2,X0)))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_119 ),
inference(resolution,[],[f1852,f311]) ).
fof(f46207,plain,
( spl0_619
| ~ spl0_58
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2019,f1851,f474,f46205]) ).
fof(f46205,plain,
( spl0_619
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X0))),or(X2,X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f2019,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X0))),or(X2,X0)))
| ~ theorem(X1) )
| ~ spl0_58
| ~ spl0_119 ),
inference(resolution,[],[f1852,f475]) ).
fof(f46203,plain,
( spl0_618
| ~ spl0_19
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2018,f1851,f117,f46201]) ).
fof(f46201,plain,
( spl0_618
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f2018,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_19
| ~ spl0_119 ),
inference(resolution,[],[f1852,f118]) ).
fof(f46199,plain,
( spl0_617
| ~ spl0_83
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1997,f1843,f843,f46197]) ).
fof(f46197,plain,
( spl0_617
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f1997,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0) )
| ~ spl0_83
| ~ spl0_117 ),
inference(resolution,[],[f1844,f844]) ).
fof(f46195,plain,
( spl0_616
| ~ spl0_83
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1983,f1839,f843,f46193]) ).
fof(f46193,plain,
( spl0_616
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X1),or(not(X0),not(X1)))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f1983,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X1),or(not(X0),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_83
| ~ spl0_116 ),
inference(resolution,[],[f1840,f844]) ).
fof(f46191,plain,
( spl0_615
| ~ spl0_17
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1966,f1835,f102,f46189]) ).
fof(f46189,plain,
( spl0_615
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(X0))
| theorem(or(X1,or(or(not(or(X2,X0)),X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f1835,plain,
( spl0_115
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1966,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(or(not(or(X2,X0)),X2),X3))) )
| ~ spl0_17
| ~ spl0_115 ),
inference(resolution,[],[f1836,f103]) ).
fof(f1836,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f46187,plain,
( spl0_614
| ~ spl0_17
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1953,f1819,f102,f46185]) ).
fof(f46185,plain,
( spl0_614
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(X2,or(not(or(X1,X0)),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f1953,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(X2,or(not(or(X1,X0)),X3))) )
| ~ spl0_17
| ~ spl0_111 ),
inference(resolution,[],[f1820,f103]) ).
fof(f46183,plain,
( spl0_613
| ~ spl0_109
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1932,f1815,f1811,f46181]) ).
fof(f46181,plain,
( spl0_613
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(or(X1,or(not(or(X2,not(X0))),X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f1932,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,or(not(or(X2,not(X0))),X2)),X3)) )
| ~ spl0_109
| ~ spl0_110 ),
inference(resolution,[],[f1816,f1812]) ).
fof(f46179,plain,
( spl0_612
| ~ spl0_27
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1912,f1811,f171,f46177]) ).
fof(f1912,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(or(or(X3,X3),X2)) )
| ~ spl0_27
| ~ spl0_109 ),
inference(resolution,[],[f1812,f172]) ).
fof(f46175,plain,
( spl0_611
| ~ spl0_94
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1908,f1811,f942,f46173]) ).
fof(f1908,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(or(or(X3,X3),X1)) )
| ~ spl0_94
| ~ spl0_109 ),
inference(resolution,[],[f1812,f943]) ).
fof(f46171,plain,
( spl0_610
| ~ spl0_86
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1892,f1811,f911,f46169]) ).
fof(f46169,plain,
( spl0_610
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(or(X1,X1),not(X2)))),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f1892,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(or(X1,X1),not(X2)))),X1))
| ~ theorem(X2) )
| ~ spl0_86
| ~ spl0_109 ),
inference(resolution,[],[f1812,f912]) ).
fof(f46155,plain,
( spl0_609
| ~ spl0_33
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1887,f1811,f221,f46153]) ).
fof(f46153,plain,
( spl0_609
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(X1,X2))),X1))
| ~ theorem(or(not(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f221,plain,
( spl0_33
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1887,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(X1,X2))),X1))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_33
| ~ spl0_109 ),
inference(resolution,[],[f1812,f222]) ).
fof(f222,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),not(or(X2,X0))))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f46151,plain,
( spl0_608
| ~ spl0_83
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1880,f1807,f843,f46149]) ).
fof(f46149,plain,
( spl0_608
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(or(not(X1),not(X1)),not(X0))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f1880,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(or(not(X1),not(X1)),not(X0))))
| ~ theorem(X1) )
| ~ spl0_83
| ~ spl0_108 ),
inference(resolution,[],[f1808,f844]) ).
fof(f46147,plain,
( spl0_607
| ~ spl0_83
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1867,f1803,f843,f46145]) ).
fof(f46145,plain,
( spl0_607
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(not(or(not(X1),X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f1867,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(not(or(not(X1),X0)))
| ~ theorem(X1) )
| ~ spl0_83
| ~ spl0_107 ),
inference(resolution,[],[f1804,f844]) ).
fof(f46143,plain,
( spl0_606
| ~ spl0_52
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1787,f1706,f361,f46141]) ).
fof(f46141,plain,
( spl0_606
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X0,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f1787,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X0,or(X3,X1)))) )
| ~ spl0_52
| ~ spl0_104 ),
inference(resolution,[],[f1707,f362]) ).
fof(f46139,plain,
( spl0_605
| ~ spl0_57
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1747,f1046,f450,f46137]) ).
fof(f46137,plain,
( spl0_605
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(not(X2),not(X2)))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f450,plain,
( spl0_57
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1747,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(not(X2),not(X2)))
| ~ theorem(or(X1,X2)) )
| ~ spl0_57
| ~ spl0_100 ),
inference(resolution,[],[f1047,f451]) ).
fof(f451,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f46135,plain,
( spl0_604
| ~ spl0_52
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1730,f1037,f361,f46133]) ).
fof(f46133,plain,
( spl0_604
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X1))),X0),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f1730,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X1))),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_52
| ~ spl0_98 ),
inference(resolution,[],[f1038,f362]) ).
fof(f46131,plain,
( spl0_603
| ~ spl0_52
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1717,f1033,f361,f46129]) ).
fof(f46129,plain,
( spl0_603
<=> ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),or(X0,X0))),X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f1717,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),or(X0,X0))),X1))
| ~ theorem(not(X0)) )
| ~ spl0_52
| ~ spl0_97 ),
inference(resolution,[],[f1034,f362]) ).
fof(f46127,plain,
( spl0_602
| ~ spl0_31
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1715,f1033,f192,f46125]) ).
fof(f46125,plain,
( spl0_602
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X1,X1),or(X1,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f1715,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X1,X1),or(X1,X1)))) )
| ~ spl0_31
| ~ spl0_97 ),
inference(resolution,[],[f1034,f193]) ).
fof(f46123,plain,
( spl0_601
| ~ spl0_48
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1017,f942,f314,f46121]) ).
fof(f46121,plain,
( spl0_601
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X1))
| theorem(or(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f1017,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X1))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_48
| ~ spl0_94 ),
inference(resolution,[],[f943,f315]) ).
fof(f46119,plain,
( spl0_600
| ~ spl0_67
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f969,f915,f590,f46117]) ).
fof(f46117,plain,
( spl0_600
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X3,or(X0,or(X2,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f969,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X3,or(X0,or(X2,X1)))) )
| ~ spl0_67
| ~ spl0_87 ),
inference(resolution,[],[f916,f591]) ).
fof(f46114,plain,
( spl0_599
| ~ spl0_68
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f901,f847,f623,f46112]) ).
fof(f46112,plain,
( spl0_599
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(not(or(X1,X0))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f901,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(not(or(X1,X0))),X2)) )
| ~ spl0_68
| ~ spl0_84 ),
inference(resolution,[],[f848,f624]) ).
fof(f44930,plain,
( spl0_598
| ~ spl0_40
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f30441,f28102,f268,f44928]) ).
fof(f44928,plain,
( spl0_598
<=> ! [X0] :
( theorem(not(not(not(not(X0)))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f28102,plain,
( spl0_429
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f30441,plain,
( ! [X0] :
( theorem(not(not(not(not(X0)))))
| ~ theorem(X0) )
| ~ spl0_40
| ~ spl0_429 ),
inference(resolution,[],[f28103,f269]) ).
fof(f28103,plain,
( ! [X0,X1] :
( ~ theorem(or(not(not(not(X0))),X1))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f28102]) ).
fof(f43522,plain,
( spl0_597
| ~ spl0_40
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f30330,f28093,f268,f43520]) ).
fof(f43520,plain,
( spl0_597
<=> ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f28093,plain,
( spl0_427
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f30330,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(or(X0,X0)) )
| ~ spl0_40
| ~ spl0_427 ),
inference(resolution,[],[f28094,f269]) ).
fof(f28094,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X0,X0)) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f28093]) ).
fof(f41858,plain,
( spl0_596
| ~ spl0_40
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f30149,f28089,f268,f41856]) ).
fof(f41856,plain,
( spl0_596
<=> ! [X0,X1] :
( theorem(not(not(or(X0,X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f28089,plain,
( spl0_426
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X0,X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f30149,plain,
( ! [X0,X1] :
( theorem(not(not(or(X0,X1))))
| ~ theorem(X0) )
| ~ spl0_40
| ~ spl0_426 ),
inference(resolution,[],[f28090,f269]) ).
fof(f28090,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(or(X0,X2)),X1))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f28089]) ).
fof(f40986,plain,
( spl0_595
| ~ spl0_40
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f29969,f28085,f268,f40984]) ).
fof(f40984,plain,
( spl0_595
<=> ! [X0,X1] :
( theorem(not(not(or(X0,X1))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f29969,plain,
( ! [X0,X1] :
( theorem(not(not(or(X0,X1))))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_425 ),
inference(resolution,[],[f28086,f269]) ).
fof(f38907,plain,
( spl0_594
| ~ spl0_147
| ~ spl0_386 ),
inference(avatar_split_clause,[],[f27192,f26340,f2578,f38905]) ).
fof(f38905,plain,
( spl0_594
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f26340,plain,
( spl0_386
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f27192,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),X0)) )
| ~ spl0_147
| ~ spl0_386 ),
inference(resolution,[],[f26341,f2579]) ).
fof(f26341,plain,
( ! [X0] :
( ~ theorem(or(or(X0,X0),or(X0,X0)))
| theorem(X0) )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f26340]) ).
fof(f37721,plain,
( spl0_593
| ~ spl0_76
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f25000,f24930,f748,f37719]) ).
fof(f37719,plain,
( spl0_593
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(not(not(X1)),X2)),or(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f25000,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(not(not(X1)),X2)),or(X1,X2))))
| ~ spl0_76
| ~ spl0_359 ),
inference(resolution,[],[f24931,f749]) ).
fof(f37717,plain,
( spl0_592
| ~ spl0_76
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f24802,f24667,f748,f37715]) ).
fof(f37715,plain,
( spl0_592
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,X2)),or(X1,not(not(X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f24667,plain,
( spl0_357
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,or(not(or(X1,X2)),or(X1,X3))),or(not(X2),X3)))
| theorem(or(X0,or(not(or(X1,X2)),or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f24802,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,X2)),or(X1,not(not(X2))))))
| ~ spl0_76
| ~ spl0_357 ),
inference(resolution,[],[f24668,f749]) ).
fof(f24668,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(X1,X2)),or(X1,X3))),or(not(X2),X3)))
| theorem(or(X0,or(not(or(X1,X2)),or(X1,X3)))) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f24667]) ).
fof(f37713,plain,
( spl0_591
| ~ spl0_76
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f21387,f21212,f748,f37711]) ).
fof(f37711,plain,
( spl0_591
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(X2,not(X2))))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f21387,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(X2,not(X2))))),X1)))
| ~ spl0_76
| ~ spl0_318 ),
inference(resolution,[],[f21213,f749]) ).
fof(f37709,plain,
( spl0_590
| ~ spl0_23
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f21366,f21212,f143,f37707]) ).
fof(f37707,plain,
( spl0_590
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(not(X2),X2)))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f21366,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(not(X2),X2)))),X1)))
| ~ spl0_23
| ~ spl0_318 ),
inference(resolution,[],[f21213,f144]) ).
fof(f37705,plain,
( spl0_589
| ~ spl0_7
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f7282,f6706,f46,f37703]) ).
fof(f7282,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(X0),or(X1,or(X2,X0))))
| ~ theorem(or(X2,X3)) )
| ~ spl0_7
| ~ spl0_265 ),
inference(resolution,[],[f6707,f47]) ).
fof(f37701,plain,
( spl0_588
| ~ spl0_82
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5483,f5156,f839,f37699]) ).
fof(f5483,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,not(or(or(not(X1),X1),X2)))),X0))
| ~ spl0_82
| ~ spl0_221 ),
inference(resolution,[],[f5157,f840]) ).
fof(f37697,plain,
( spl0_587
| ~ spl0_20
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5104,f4445,f125,f37695]) ).
fof(f37695,plain,
( spl0_587
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f5104,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_214 ),
inference(resolution,[],[f4446,f126]) ).
fof(f37614,plain,
( spl0_586
| ~ spl0_89
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f5033,f4441,f923,f37612]) ).
fof(f37612,plain,
( spl0_586
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),or(X1,X1))))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f5033,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),or(X1,X1))))
| ~ theorem(not(X1)) )
| ~ spl0_89
| ~ spl0_213 ),
inference(resolution,[],[f4442,f924]) ).
fof(f37610,plain,
( spl0_585
| ~ spl0_48
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f4523,f4347,f314,f37608]) ).
fof(f37608,plain,
( spl0_585
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X1,X0),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f4347,plain,
( spl0_202
<=> ! [X0,X3,X2,X1] : theorem(or(or(not(or(X0,or(or(X1,X2),X3))),or(X0,X3)),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f4523,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X1,X0),X1))),or(X0,X1)))
| ~ spl0_48
| ~ spl0_202 ),
inference(resolution,[],[f4348,f315]) ).
fof(f4348,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X2),X3))),or(X0,X3)),or(X2,X1)))
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f4347]) ).
fof(f37606,plain,
( spl0_584
| ~ spl0_40
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f4275,f3848,f268,f37604]) ).
fof(f37604,plain,
( spl0_584
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(not(not(X0))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f4275,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(not(not(X0))),X2)) )
| ~ spl0_40
| ~ spl0_195 ),
inference(resolution,[],[f3849,f269]) ).
fof(f37602,plain,
( spl0_583
| ~ spl0_10
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f4231,f3848,f60,f37600]) ).
fof(f37600,plain,
( spl0_583
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X2))
| ~ theorem(or(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f4231,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X2))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_10
| ~ spl0_195 ),
inference(resolution,[],[f3849,f61]) ).
fof(f37598,plain,
( spl0_582
| ~ spl0_75
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f4229,f3848,f744,f37596]) ).
fof(f37596,plain,
( spl0_582
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(or(X0,X3)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f4229,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(or(X0,X3)),X2)) )
| ~ spl0_75
| ~ spl0_195 ),
inference(resolution,[],[f3849,f745]) ).
fof(f37594,plain,
( spl0_581
| ~ spl0_7
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f4228,f3848,f46,f37592]) ).
fof(f37592,plain,
( spl0_581
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(or(X3,X0)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f4228,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(or(X3,X0)),X2)) )
| ~ spl0_7
| ~ spl0_195 ),
inference(resolution,[],[f3849,f47]) ).
fof(f37590,plain,
( spl0_580
| ~ spl0_49
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4167,f3840,f318,f37588]) ).
fof(f37588,plain,
( spl0_580
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),X1),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f4167,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),X1),X1)) )
| ~ spl0_49
| ~ spl0_193 ),
inference(resolution,[],[f3841,f319]) ).
fof(f37586,plain,
( spl0_579
| ~ spl0_147
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4161,f3840,f2578,f37584]) ).
fof(f37584,plain,
( spl0_579
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(X1,not(X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f4161,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(X1,not(X2)),X1)) )
| ~ spl0_147
| ~ spl0_193 ),
inference(resolution,[],[f3841,f2579]) ).
fof(f37582,plain,
( spl0_578
| ~ spl0_76
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f4131,f3806,f748,f37580]) ).
fof(f3806,plain,
( spl0_190
<=> ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f4131,plain,
( ! [X0] : theorem(not(or(not(or(X0,not(X0))),not(or(X0,not(X0))))))
| ~ spl0_76
| ~ spl0_190 ),
inference(resolution,[],[f3807,f749]) ).
fof(f3807,plain,
( ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f3806]) ).
fof(f37578,plain,
( spl0_577
| ~ spl0_23
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f4114,f3806,f143,f37576]) ).
fof(f4114,plain,
( ! [X0] : theorem(not(or(not(or(not(X0),X0)),not(or(not(X0),X0)))))
| ~ spl0_23
| ~ spl0_190 ),
inference(resolution,[],[f3807,f144]) ).
fof(f37574,plain,
( spl0_576
| ~ spl0_16
| ~ spl0_506 ),
inference(avatar_split_clause,[],[f34554,f32328,f92,f37572]) ).
fof(f37572,plain,
( spl0_576
<=> ! [X0] : theorem(or(not(not(not(X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f34554,plain,
( ! [X0] : theorem(or(not(not(not(X0))),X0))
| ~ spl0_16
| ~ spl0_506 ),
inference(resolution,[],[f32329,f93]) ).
fof(f37570,plain,
( spl0_575
| ~ spl0_10
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f4014,f3802,f60,f37568]) ).
fof(f37568,plain,
( spl0_575
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f4014,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X1,X1)) )
| ~ spl0_10
| ~ spl0_189 ),
inference(resolution,[],[f3803,f61]) ).
fof(f37566,plain,
( spl0_574
| ~ spl0_159
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f3991,f3798,f2627,f37564]) ).
fof(f37564,plain,
( spl0_574
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(or(or(X0,X1),or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f3991,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(or(or(X0,X1),or(X0,X1))) )
| ~ spl0_159
| ~ spl0_188 ),
inference(resolution,[],[f3799,f2628]) ).
fof(f37562,plain,
( spl0_573
| ~ spl0_159
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f3971,f3794,f2627,f37560]) ).
fof(f37560,plain,
( spl0_573
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f3971,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X0,X2))) )
| ~ spl0_159
| ~ spl0_187 ),
inference(resolution,[],[f3795,f2628]) ).
fof(f37558,plain,
( spl0_572
| ~ spl0_94
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3460,f3223,f942,f37556]) ).
fof(f37556,plain,
( spl0_572
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(X1,not(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f3460,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(X1,not(X3))) )
| ~ spl0_94
| ~ spl0_171 ),
inference(resolution,[],[f3224,f943]) ).
fof(f37554,plain,
( spl0_571
| ~ spl0_141
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3395,f3219,f2554,f37552]) ).
fof(f37552,plain,
( spl0_571
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X1,X1),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f3395,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X1,X1),X1))),or(X0,X1)))
| ~ spl0_141
| ~ spl0_170 ),
inference(resolution,[],[f3220,f2555]) ).
fof(f37550,plain,
( spl0_570
| ~ spl0_20
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3317,f3207,f125,f37548]) ).
fof(f37548,plain,
( spl0_570
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f3317,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_167 ),
inference(resolution,[],[f3208,f126]) ).
fof(f37546,plain,
( spl0_569
| ~ spl0_6
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3165,f2643,f41,f37544]) ).
fof(f37544,plain,
( spl0_569
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f3165,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) )
| ~ spl0_6
| ~ spl0_163 ),
inference(resolution,[],[f2644,f42]) ).
fof(f37542,plain,
( spl0_568
| ~ spl0_11
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3079,f2635,f66,f37540]) ).
fof(f37540,plain,
( spl0_568
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X2)
| ~ theorem(or(not(or(X1,X0)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f3079,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X2)
| ~ theorem(or(not(or(X1,X0)),X2)) )
| ~ spl0_11
| ~ spl0_161 ),
inference(resolution,[],[f2636,f67]) ).
fof(f37538,plain,
( spl0_567
| ~ spl0_6
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2879,f2586,f41,f37536]) ).
fof(f37536,plain,
( spl0_567
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X2,or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f2879,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X2,or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_149 ),
inference(resolution,[],[f2587,f42]) ).
fof(f37534,plain,
( spl0_566
| ~ spl0_40
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2840,f2582,f268,f37532]) ).
fof(f37532,plain,
( spl0_566
<=> ! [X0] :
( theorem(not(or(not(not(not(X0))),not(not(not(X0))))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f2840,plain,
( ! [X0] :
( theorem(not(or(not(not(not(X0))),not(not(not(X0))))))
| ~ theorem(X0) )
| ~ spl0_40
| ~ spl0_148 ),
inference(resolution,[],[f2583,f269]) ).
fof(f37529,plain,
( spl0_565
| ~ spl0_75
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2805,f2582,f744,f37527]) ).
fof(f37527,plain,
( spl0_565
<=> ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f2805,plain,
( ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(X0) )
| ~ spl0_75
| ~ spl0_148 ),
inference(resolution,[],[f2583,f745]) ).
fof(f37525,plain,
( spl0_564
| ~ spl0_7
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2804,f2582,f46,f37523]) ).
fof(f37523,plain,
( spl0_564
<=> ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f2804,plain,
( ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(X1) )
| ~ spl0_7
| ~ spl0_148 ),
inference(resolution,[],[f2583,f47]) ).
fof(f37521,plain,
( spl0_563
| ~ spl0_6
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2760,f2570,f41,f37519]) ).
fof(f37519,plain,
( spl0_563
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(X2,X1),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f2760,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(X2,X1),not(X0))) )
| ~ spl0_6
| ~ spl0_145 ),
inference(resolution,[],[f2571,f42]) ).
fof(f37517,plain,
( spl0_562
| ~ spl0_6
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f2744,f2566,f41,f37515]) ).
fof(f37515,plain,
( spl0_562
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f2744,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_144 ),
inference(resolution,[],[f2567,f42]) ).
fof(f37513,plain,
( spl0_561
| ~ spl0_105
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2698,f2554,f1710,f37511]) ).
fof(f37511,plain,
( spl0_561
<=> ! [X2,X0,X1,X3] : theorem(or(X0,or(X1,or(X2,or(not(or(X2,X3)),X3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f2698,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(X1,or(X2,or(not(or(X2,X3)),X3)))))
| ~ spl0_105
| ~ spl0_141 ),
inference(resolution,[],[f2555,f1711]) ).
fof(f37509,plain,
( spl0_560
| ~ spl0_98
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2670,f2554,f1037,f37507]) ).
fof(f37507,plain,
( spl0_560
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X1,X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f2670,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X1,X1))),or(X0,X1)))
| ~ spl0_98
| ~ spl0_141 ),
inference(resolution,[],[f2555,f1038]) ).
fof(f37505,plain,
( spl0_559
| ~ spl0_16
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2542,f2127,f92,f37503]) ).
fof(f37503,plain,
( spl0_559
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(or(X0,X1),X2)),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f2542,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(or(X0,X1),X2)),X1)),X2))
| ~ spl0_16
| ~ spl0_138 ),
inference(resolution,[],[f2128,f93]) ).
fof(f37501,plain,
( spl0_558
| ~ spl0_17
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2538,f2127,f102,f37499]) ).
fof(f37499,plain,
( spl0_558
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,X2),X1)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f2538,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,X2),X1)),X2))))
| ~ spl0_17
| ~ spl0_138 ),
inference(resolution,[],[f2128,f103]) ).
fof(f37497,plain,
( spl0_557
| ~ spl0_54
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2537,f2127,f417,f37495]) ).
fof(f37495,plain,
( spl0_557
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(or(X1,X2),X0)),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f2537,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(or(X1,X2),X0)),X2),X1)))
| ~ spl0_54
| ~ spl0_138 ),
inference(resolution,[],[f2128,f418]) ).
fof(f37493,plain,
( spl0_556
| ~ spl0_16
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2528,f2123,f92,f37491]) ).
fof(f37491,plain,
( spl0_556
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,or(X1,X2))),X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f2528,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,or(X1,X2))),X2)),X1))
| ~ spl0_16
| ~ spl0_137 ),
inference(resolution,[],[f2124,f93]) ).
fof(f37489,plain,
( ~ spl0_555
| ~ spl0_20
| spl0_534 ),
inference(avatar_split_clause,[],[f37443,f37398,f125,f37486]) ).
fof(f37486,plain,
( spl0_555
<=> theorem(not(not(p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f37398,plain,
( spl0_534
<=> theorem(or(not(not(p)),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f37443,plain,
( ~ theorem(not(not(p)))
| ~ spl0_20
| spl0_534 ),
inference(resolution,[],[f37400,f126]) ).
fof(f37400,plain,
( ~ theorem(or(not(not(p)),q))
| spl0_534 ),
inference(avatar_component_clause,[],[f37398]) ).
fof(f37484,plain,
( spl0_554
| ~ spl0_54
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2523,f2123,f417,f37482]) ).
fof(f37482,plain,
( spl0_554
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f2523,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X2),X1)))
| ~ spl0_54
| ~ spl0_137 ),
inference(resolution,[],[f2124,f418]) ).
fof(f37480,plain,
( spl0_553
| ~ spl0_16
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2520,f2119,f92,f37478]) ).
fof(f37478,plain,
( spl0_553
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(or(X0,X2),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f2520,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(or(X0,X2),X1))))
| ~ spl0_16
| ~ spl0_136 ),
inference(resolution,[],[f2120,f93]) ).
fof(f37476,plain,
( spl0_552
| ~ spl0_17
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2516,f2119,f102,f37474]) ).
fof(f37474,plain,
( spl0_552
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),X2)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f2516,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),X2)),or(X2,X1))))
| ~ spl0_17
| ~ spl0_136 ),
inference(resolution,[],[f2120,f103]) ).
fof(f37472,plain,
( spl0_551
| ~ spl0_54
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2515,f2119,f417,f37470]) ).
fof(f37470,plain,
( spl0_551
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(or(X2,X1),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f2515,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(or(X2,X1),X0)))
| ~ spl0_54
| ~ spl0_136 ),
inference(resolution,[],[f2120,f418]) ).
fof(f37468,plain,
( spl0_550
| ~ spl0_50
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2513,f2119,f322,f37466]) ).
fof(f37466,plain,
( spl0_550
<=> ! [X0,X1] : theorem(or(not(or(or(or(X0,X1),X1),X0)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f2513,plain,
( ! [X0,X1] : theorem(or(not(or(or(or(X0,X1),X1),X0)),or(X0,X1)))
| ~ spl0_50
| ~ spl0_136 ),
inference(resolution,[],[f2120,f323]) ).
fof(f37464,plain,
( spl0_549
| ~ spl0_59
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2467,f2115,f478,f37462]) ).
fof(f37462,plain,
( spl0_549
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f2467,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_59
| ~ spl0_135 ),
inference(resolution,[],[f2116,f479]) ).
fof(f37460,plain,
( spl0_548
| ~ spl0_16
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2417,f2107,f92,f37458]) ).
fof(f37458,plain,
( spl0_548
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X2,or(X1,X0))),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f2417,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X2,or(X1,X0))),X2)))
| ~ spl0_16
| ~ spl0_133 ),
inference(resolution,[],[f2108,f93]) ).
fof(f37456,plain,
( spl0_547
| ~ spl0_17
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2412,f2107,f102,f37454]) ).
fof(f37454,plain,
( spl0_547
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X2,X0))),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f2412,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X2,X0))),X1),X2)))
| ~ spl0_17
| ~ spl0_133 ),
inference(resolution,[],[f2108,f103]) ).
fof(f37452,plain,
( spl0_546
| ~ spl0_48
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2407,f2107,f314,f37450]) ).
fof(f37450,plain,
( spl0_546
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X1,X0))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f2407,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X1,X0))),or(X0,X1)))
| ~ spl0_48
| ~ spl0_133 ),
inference(resolution,[],[f2108,f315]) ).
fof(f37448,plain,
( spl0_545
| ~ spl0_16
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2400,f2101,f92,f37446]) ).
fof(f37446,plain,
( spl0_545
<=> ! [X2,X0,X1] : theorem(or(or(or(X0,X1),not(or(X0,or(X2,X1)))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f2400,plain,
( ! [X2,X0,X1] : theorem(or(or(or(X0,X1),not(or(X0,or(X2,X1)))),X2))
| ~ spl0_16
| ~ spl0_132 ),
inference(resolution,[],[f2102,f93]) ).
fof(f37441,plain,
( spl0_544
| ~ spl0_17
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2397,f2101,f102,f37439]) ).
fof(f37439,plain,
( spl0_544
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(X2,not(or(X0,or(X2,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f2397,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(X2,not(or(X0,or(X2,X1))))))
| ~ spl0_17
| ~ spl0_132 ),
inference(resolution,[],[f2102,f103]) ).
fof(f37437,plain,
( spl0_543
| ~ spl0_16
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2387,f2097,f92,f37435]) ).
fof(f37435,plain,
( spl0_543
<=> ! [X0,X1] : theorem(or(or(X0,not(or(or(X1,X0),or(X1,X0)))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f2387,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(or(X1,X0),or(X1,X0)))),X1))
| ~ spl0_16
| ~ spl0_131 ),
inference(resolution,[],[f2098,f93]) ).
fof(f37433,plain,
( spl0_542
| ~ spl0_17
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2384,f2097,f102,f37431]) ).
fof(f37431,plain,
( spl0_542
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X1,X0),or(X1,X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f2384,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X1,X0),or(X1,X0))))))
| ~ spl0_17
| ~ spl0_131 ),
inference(resolution,[],[f2098,f103]) ).
fof(f37429,plain,
( spl0_541
| ~ spl0_16
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2380,f2093,f92,f37427]) ).
fof(f37427,plain,
( spl0_541
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(or(X1,X0),or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f2380,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(or(X1,X0),or(X1,X0)))))
| ~ spl0_16
| ~ spl0_130 ),
inference(resolution,[],[f2094,f93]) ).
fof(f37425,plain,
( spl0_540
| ~ spl0_17
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2375,f2093,f102,f37423]) ).
fof(f37423,plain,
( spl0_540
<=> ! [X0,X1] : theorem(or(X0,or(not(or(or(X1,X0),or(X1,X0))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f2375,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X1,X0),or(X1,X0))),X1)))
| ~ spl0_17
| ~ spl0_130 ),
inference(resolution,[],[f2094,f103]) ).
fof(f37421,plain,
( spl0_539
| ~ spl0_16
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2365,f2089,f92,f37419]) ).
fof(f37419,plain,
( spl0_539
<=> ! [X2,X0,X1] : theorem(or(or(or(X0,X1),X2),not(or(X0,or(X2,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f2365,plain,
( ! [X2,X0,X1] : theorem(or(or(or(X0,X1),X2),not(or(X0,or(X2,X1)))))
| ~ spl0_16
| ~ spl0_129 ),
inference(resolution,[],[f2090,f93]) ).
fof(f37417,plain,
( spl0_538
| ~ spl0_17
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2360,f2089,f102,f37415]) ).
fof(f37415,plain,
( spl0_538
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X0,or(X2,X1))),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f2360,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X0,or(X2,X1))),X2)))
| ~ spl0_17
| ~ spl0_129 ),
inference(resolution,[],[f2090,f103]) ).
fof(f37413,plain,
( spl0_537
| ~ spl0_79
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2265,f2077,f782,f37411]) ).
fof(f37411,plain,
( spl0_537
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(or(X2,not(or(X0,not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f2265,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(or(X2,not(or(X0,not(X1))))) )
| ~ spl0_79
| ~ spl0_126 ),
inference(resolution,[],[f2078,f783]) ).
fof(f37409,plain,
( spl0_536
| ~ spl0_22
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2227,f2073,f139,f37407]) ).
fof(f37407,plain,
( spl0_536
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(not(X0),not(X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f2227,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(not(X0),not(X0)))))) )
| ~ spl0_22
| ~ spl0_125 ),
inference(resolution,[],[f2074,f140]) ).
fof(f37405,plain,
( spl0_535
| ~ spl0_47
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2208,f2073,f310,f37403]) ).
fof(f37403,plain,
( spl0_535
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f2208,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_125 ),
inference(resolution,[],[f2074,f311]) ).
fof(f37401,plain,
( ~ spl0_534
| spl0_38
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f35413,f31689,f253,f37398]) ).
fof(f253,plain,
( spl0_38
<=> theorem(or(not(or(not(p),q)),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f31689,plain,
( spl0_486
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X1)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f35413,plain,
( ~ theorem(or(not(not(p)),q))
| spl0_38
| ~ spl0_486 ),
inference(resolution,[],[f31690,f255]) ).
fof(f255,plain,
( ~ theorem(or(not(or(not(p),q)),q))
| spl0_38 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f31690,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_486 ),
inference(avatar_component_clause,[],[f31689]) ).
fof(f37396,plain,
( spl0_533
| ~ spl0_16
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2201,f2069,f92,f37394]) ).
fof(f37394,plain,
( spl0_533
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(X0,or(or(X0,X1),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f2201,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X0,or(or(X0,X1),X1)))))
| ~ spl0_16
| ~ spl0_124 ),
inference(resolution,[],[f2070,f93]) ).
fof(f37392,plain,
( spl0_532
| ~ spl0_17
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2197,f2069,f102,f37390]) ).
fof(f37390,plain,
( spl0_532
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,or(or(X0,X1),X1))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f2197,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,or(or(X0,X1),X1))),X1)))
| ~ spl0_17
| ~ spl0_124 ),
inference(resolution,[],[f2070,f103]) ).
fof(f37388,plain,
( spl0_531
| ~ spl0_54
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2196,f2069,f417,f37386]) ).
fof(f37386,plain,
( spl0_531
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f2196,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X1,X0)))
| ~ spl0_54
| ~ spl0_124 ),
inference(resolution,[],[f2070,f418]) ).
fof(f37384,plain,
( spl0_530
| ~ spl0_119
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2193,f2069,f1851,f37382]) ).
fof(f37382,plain,
( spl0_530
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X0),X0))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f2193,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X0),X0))),or(X1,X0)))
| ~ spl0_119
| ~ spl0_124 ),
inference(resolution,[],[f2070,f1852]) ).
fof(f37380,plain,
( spl0_529
| ~ spl0_16
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2135,f2056,f92,f37378]) ).
fof(f37378,plain,
( spl0_529
<=> ! [X2,X0,X1] : theorem(or(or(or(not(or(X0,or(X1,X2))),X0),X2),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f2135,plain,
( ! [X2,X0,X1] : theorem(or(or(or(not(or(X0,or(X1,X2))),X0),X2),X1))
| ~ spl0_16
| ~ spl0_121 ),
inference(resolution,[],[f2057,f93]) ).
fof(f37376,plain,
( spl0_528
| ~ spl0_54
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2131,f2056,f417,f37374]) ).
fof(f37374,plain,
( spl0_528
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X2,or(X0,X1))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f2131,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X2,or(X0,X1))),X2))))
| ~ spl0_54
| ~ spl0_121 ),
inference(resolution,[],[f2057,f418]) ).
fof(f37372,plain,
( spl0_527
| ~ spl0_46
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2048,f1851,f300,f37370]) ).
fof(f37370,plain,
( spl0_527
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f2048,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),or(X2,X1)))
| ~ spl0_46
| ~ spl0_119 ),
inference(resolution,[],[f1852,f301]) ).
fof(f37368,plain,
( spl0_526
| ~ spl0_10
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2021,f1851,f60,f37366]) ).
fof(f37366,plain,
( spl0_526
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X0),or(X0,X0))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f2021,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X0),or(X0,X0))),or(X1,X0)))
| ~ spl0_10
| ~ spl0_119 ),
inference(resolution,[],[f1852,f61]) ).
fof(f37364,plain,
( spl0_525
| ~ spl0_104
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2020,f1851,f1706,f37362]) ).
fof(f37362,plain,
( spl0_525
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X2,or(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f2020,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X2,or(X0,X1))))
| ~ spl0_104
| ~ spl0_119 ),
inference(resolution,[],[f1852,f1707]) ).
fof(f37360,plain,
( spl0_524
| ~ spl0_51
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1972,f1839,f357,f37358]) ).
fof(f37358,plain,
( spl0_524
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X2,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f1972,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X2,or(not(X0),X2))) )
| ~ spl0_51
| ~ spl0_116 ),
inference(resolution,[],[f1840,f358]) ).
fof(f37356,plain,
( spl0_523
| ~ spl0_105
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1916,f1811,f1710,f37354]) ).
fof(f37354,plain,
( spl0_523
<=> ! [X2,X0,X1,X3] : theorem(or(or(X0,or(X1,or(not(or(X1,X2)),X2))),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f1916,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(X0,or(X1,or(not(or(X1,X2)),X2))),X3))
| ~ spl0_105
| ~ spl0_109 ),
inference(resolution,[],[f1812,f1711]) ).
fof(f37352,plain,
( spl0_522
| ~ spl0_84
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1914,f1811,f847,f37350]) ).
fof(f37350,plain,
( spl0_522
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(or(X1,or(X2,X2))))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f1914,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(or(X1,or(X2,X2))))),X2))
| ~ spl0_84
| ~ spl0_109 ),
inference(resolution,[],[f1812,f848]) ).
fof(f37348,plain,
( spl0_521
| ~ spl0_81
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1900,f1811,f835,f37346]) ).
fof(f37346,plain,
( spl0_521
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(or(X1,X1),X2)),X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f1900,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(or(X1,X1),X2)),X2)),X1))
| ~ spl0_81
| ~ spl0_109 ),
inference(resolution,[],[f1812,f836]) ).
fof(f37344,plain,
( spl0_520
| ~ spl0_26
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1897,f1811,f163,f37342]) ).
fof(f37342,plain,
( spl0_520
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X1,or(X2,X2))),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f1897,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X1,or(X2,X2))),X1)),X2))
| ~ spl0_26
| ~ spl0_109 ),
inference(resolution,[],[f1812,f164]) ).
fof(f37340,plain,
( spl0_519
| ~ spl0_101
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1893,f1811,f1050,f37338]) ).
fof(f37338,plain,
( spl0_519
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(not(X1),not(X1)))),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f1050,plain,
( spl0_101
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1893,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(not(X1),not(X1)))),X2))
| ~ theorem(X1) )
| ~ spl0_101
| ~ spl0_109 ),
inference(resolution,[],[f1812,f1051]) ).
fof(f1051,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f37336,plain,
( spl0_518
| ~ spl0_22
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1891,f1811,f139,f37334]) ).
fof(f37334,plain,
( spl0_518
<=> ! [X0,X1] : theorem(or(or(X0,not(or(or(X1,X1),or(X1,X1)))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f1891,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(or(X1,X1),or(X1,X1)))),X1))
| ~ spl0_22
| ~ spl0_109 ),
inference(resolution,[],[f1812,f140]) ).
fof(f37332,plain,
( spl0_517
| ~ spl0_51
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1869,f1807,f357,f37330]) ).
fof(f37330,plain,
( spl0_517
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(X2,X2),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f1869,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(X2,X2),not(X0))) )
| ~ spl0_51
| ~ spl0_108 ),
inference(resolution,[],[f1808,f358]) ).
fof(f37328,plain,
( spl0_516
| ~ spl0_51
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1856,f1803,f357,f37326]) ).
fof(f37326,plain,
( spl0_516
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f1856,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X1,X0)) )
| ~ spl0_51
| ~ spl0_107 ),
inference(resolution,[],[f1804,f358]) ).
fof(f37324,plain,
( spl0_515
| ~ spl0_83
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1737,f1037,f843,f37322]) ).
fof(f37322,plain,
( spl0_515
<=> ! [X0,X1] :
( theorem(or(not(or(X0,or(not(X1),not(X1)))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f1737,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,or(not(X1),not(X1)))),X0))
| ~ theorem(X1) )
| ~ spl0_83
| ~ spl0_98 ),
inference(resolution,[],[f1038,f844]) ).
fof(f37320,plain,
( spl0_514
| ~ spl0_52
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1015,f942,f361,f37318]) ).
fof(f37318,plain,
( spl0_514
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f1015,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(X1,X3))) )
| ~ spl0_52
| ~ spl0_94 ),
inference(resolution,[],[f943,f362]) ).
fof(f37316,plain,
( ~ spl0_513
| ~ spl0_20
| spl0_507 ),
inference(avatar_split_clause,[],[f36705,f35667,f125,f37313]) ).
fof(f37313,plain,
( spl0_513
<=> theorem(not(p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f35667,plain,
( spl0_507
<=> theorem(or(not(p),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f36705,plain,
( ~ theorem(not(p))
| ~ spl0_20
| spl0_507 ),
inference(resolution,[],[f35669,f126]) ).
fof(f35669,plain,
( ~ theorem(or(not(p),q))
| spl0_507 ),
inference(avatar_component_clause,[],[f35667]) ).
fof(f37311,plain,
( spl0_512
| ~ spl0_51
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1005,f942,f357,f37309]) ).
fof(f37309,plain,
( spl0_512
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f1005,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_94 ),
inference(resolution,[],[f943,f358]) ).
fof(f37307,plain,
( spl0_511
| ~ spl0_31
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f978,f923,f192,f37305]) ).
fof(f37305,plain,
( spl0_511
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f978,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X0,X0))) )
| ~ spl0_31
| ~ spl0_89 ),
inference(resolution,[],[f924,f193]) ).
fof(f37303,plain,
( spl0_510
| ~ spl0_52
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f958,f911,f361,f37301]) ).
fof(f37301,plain,
( spl0_510
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(not(not(or(X1,not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f958,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(not(not(or(X1,not(X0))))) )
| ~ spl0_52
| ~ spl0_86 ),
inference(resolution,[],[f912,f362]) ).
fof(f37299,plain,
( spl0_509
| ~ spl0_51
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f954,f911,f357,f37297]) ).
fof(f37297,plain,
( spl0_509
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(not(X2),not(X0)))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f954,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(not(X2),not(X0)))))
| ~ theorem(X2) )
| ~ spl0_51
| ~ spl0_86 ),
inference(resolution,[],[f912,f358]) ).
fof(f37295,plain,
( spl0_508
| ~ spl0_67
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f857,f835,f590,f37293]) ).
fof(f37293,plain,
( spl0_508
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,or(X1,X2))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f857,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,or(X1,X2))),X2))))
| ~ spl0_67
| ~ spl0_81 ),
inference(resolution,[],[f836,f591]) ).
fof(f35670,plain,
( ~ spl0_507
| spl0_18
| ~ spl0_486 ),
inference(avatar_split_clause,[],[f35412,f31689,f112,f35667]) ).
fof(f112,plain,
( spl0_18
<=> theorem(or(not(or(p,q)),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f35412,plain,
( ~ theorem(or(not(p),q))
| spl0_18
| ~ spl0_486 ),
inference(resolution,[],[f31690,f114]) ).
fof(f114,plain,
( ~ theorem(or(not(or(p,q)),q))
| spl0_18 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f32330,plain,
( spl0_506
| ~ spl0_434
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f31548,f31535,f28122,f32328]) ).
fof(f28122,plain,
( spl0_434
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f31548,plain,
( ! [X0] : theorem(or(X0,not(not(not(X0)))))
| ~ spl0_434
| ~ spl0_485 ),
inference(resolution,[],[f31536,f28123]) ).
fof(f28123,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_434 ),
inference(avatar_component_clause,[],[f28122]) ).
fof(f31767,plain,
( spl0_505
| ~ spl0_75
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f18668,f6758,f744,f31765]) ).
fof(f31765,plain,
( spl0_505
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f18668,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(not(X1)) )
| ~ spl0_75
| ~ spl0_278 ),
inference(resolution,[],[f6759,f745]) ).
fof(f31763,plain,
( spl0_504
| ~ spl0_104
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f5535,f5168,f1706,f31761]) ).
fof(f31761,plain,
( spl0_504
<=> ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X1)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f5535,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X1)),X1))
| ~ theorem(X0) )
| ~ spl0_104
| ~ spl0_224 ),
inference(resolution,[],[f5169,f1707]) ).
fof(f31759,plain,
( spl0_503
| ~ spl0_49
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5442,f5156,f318,f31757]) ).
fof(f5442,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X0)) )
| ~ spl0_49
| ~ spl0_221 ),
inference(resolution,[],[f5157,f319]) ).
fof(f31755,plain,
( spl0_502
| ~ spl0_39
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5050,f4445,f260,f31753]) ).
fof(f31753,plain,
( spl0_502
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(X1,X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f260,plain,
( spl0_39
<=> ! [X0] : theorem(or(not(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f5050,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(X1,X1))),X1)) )
| ~ spl0_39
| ~ spl0_214 ),
inference(resolution,[],[f4446,f261]) ).
fof(f261,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f31751,plain,
( spl0_501
| ~ spl0_26
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f4868,f4429,f163,f31749]) ).
fof(f4868,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X2,X0))) )
| ~ spl0_26
| ~ spl0_210 ),
inference(resolution,[],[f4430,f164]) ).
fof(f31747,plain,
( spl0_500
| ~ spl0_433
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f31396,f31374,f28118,f31745]) ).
fof(f31745,plain,
( spl0_500
<=> ! [X0] : theorem(not(not(or(X0,not(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f28118,plain,
( spl0_433
<=> ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f31396,plain,
( ! [X0] : theorem(not(not(or(X0,not(X0)))))
| ~ spl0_433
| ~ spl0_484 ),
inference(resolution,[],[f31375,f28119]) ).
fof(f28119,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0))
| ~ spl0_433 ),
inference(avatar_component_clause,[],[f28118]) ).
fof(f31743,plain,
( spl0_499
| ~ spl0_75
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f4831,f4429,f744,f31741]) ).
fof(f31741,plain,
( spl0_499
<=> ! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X1,X2)))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f4831,plain,
( ! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X1,X2)))
| ~ theorem(or(X1,X0)) )
| ~ spl0_75
| ~ spl0_210 ),
inference(resolution,[],[f4430,f745]) ).
fof(f31739,plain,
( spl0_498
| ~ spl0_81
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3637,f3235,f835,f31737]) ).
fof(f31737,plain,
( spl0_498
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,not(X2))))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f3637,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,not(X2))))))
| ~ theorem(X2) )
| ~ spl0_81
| ~ spl0_174 ),
inference(resolution,[],[f3236,f836]) ).
fof(f31735,plain,
( spl0_497
| ~ spl0_26
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f3632,f3235,f163,f31733]) ).
fof(f31733,plain,
( spl0_497
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X0)))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f3632,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X0)))))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_174 ),
inference(resolution,[],[f3236,f164]) ).
fof(f31731,plain,
( spl0_496
| ~ spl0_40
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3544,f3227,f268,f31729]) ).
fof(f31729,plain,
( spl0_496
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(not(not(X1))))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f3544,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(not(not(X1))))),X0))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_172 ),
inference(resolution,[],[f3228,f269]) ).
fof(f31727,plain,
( spl0_495
| ~ spl0_10
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3505,f3227,f60,f31725]) ).
fof(f31725,plain,
( spl0_495
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f3505,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X1)) )
| ~ spl0_10
| ~ spl0_172 ),
inference(resolution,[],[f3228,f61]) ).
fof(f31723,plain,
( spl0_494
| ~ spl0_75
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3503,f3227,f744,f31721]) ).
fof(f31721,plain,
( spl0_494
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f3503,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(X1) )
| ~ spl0_75
| ~ spl0_172 ),
inference(resolution,[],[f3228,f745]) ).
fof(f31719,plain,
( spl0_493
| ~ spl0_7
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3502,f3227,f46,f31717]) ).
fof(f31717,plain,
( spl0_493
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f3502,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_172 ),
inference(resolution,[],[f3228,f47]) ).
fof(f31715,plain,
( spl0_492
| ~ spl0_84
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f3466,f3223,f847,f31713]) ).
fof(f31713,plain,
( spl0_492
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X1)))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f3466,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X1)))))
| ~ theorem(X2) )
| ~ spl0_84
| ~ spl0_171 ),
inference(resolution,[],[f3224,f848]) ).
fof(f31711,plain,
( spl0_491
| ~ spl0_40
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3323,f3207,f268,f31709]) ).
fof(f31709,plain,
( spl0_491
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f3323,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(not(X1))))) )
| ~ spl0_40
| ~ spl0_167 ),
inference(resolution,[],[f3208,f269]) ).
fof(f31707,plain,
( spl0_490
| ~ spl0_10
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3286,f3207,f60,f31705]) ).
fof(f31705,plain,
( spl0_490
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X2,or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f3286,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X2,or(X0,X1))) )
| ~ spl0_10
| ~ spl0_167 ),
inference(resolution,[],[f3208,f61]) ).
fof(f31703,plain,
( spl0_489
| ~ spl0_432
| ~ spl0_484 ),
inference(avatar_split_clause,[],[f31395,f31374,f28114,f31701]) ).
fof(f31701,plain,
( spl0_489
<=> ! [X0] : theorem(not(not(or(not(X0),X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f28114,plain,
( spl0_432
<=> ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f31395,plain,
( ! [X0] : theorem(not(not(or(not(X0),X0))))
| ~ spl0_432
| ~ spl0_484 ),
inference(resolution,[],[f31375,f28115]) ).
fof(f28115,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0))
| ~ spl0_432 ),
inference(avatar_component_clause,[],[f28114]) ).
fof(f31699,plain,
( spl0_488
| ~ spl0_75
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f3284,f3207,f744,f31697]) ).
fof(f31697,plain,
( spl0_488
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f3284,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X1,X3)))) )
| ~ spl0_75
| ~ spl0_167 ),
inference(resolution,[],[f3208,f745]) ).
fof(f31695,plain,
( spl0_487
| ~ spl0_89
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f3273,f3203,f923,f31693]) ).
fof(f31693,plain,
( spl0_487
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,X1)))))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f3273,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,X1)))))
| ~ theorem(not(X1)) )
| ~ spl0_89
| ~ spl0_166 ),
inference(resolution,[],[f3204,f924]) ).
fof(f31691,plain,
( spl0_486
| ~ spl0_50
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f3173,f2643,f322,f31689]) ).
fof(f3173,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X1)),X1)) )
| ~ spl0_50
| ~ spl0_163 ),
inference(resolution,[],[f2644,f323]) ).
fof(f31537,plain,
( spl0_485
| spl0_288
| ~ spl0_76
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3126,f2635,f748,f7734,f31535]) ).
fof(f7734,plain,
( spl0_288
<=> ! [X1] : ~ theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f3126,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,not(X2))),X1)) )
| ~ spl0_76
| ~ spl0_161 ),
inference(resolution,[],[f2636,f749]) ).
fof(f31376,plain,
( spl0_484
| spl0_288
| ~ spl0_23
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3105,f2635,f143,f7734,f31374]) ).
fof(f3105,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(not(X2),X2)),X1)) )
| ~ spl0_23
| ~ spl0_161 ),
inference(resolution,[],[f2636,f144]) ).
fof(f31372,plain,
( spl0_483
| ~ spl0_94
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3030,f2627,f942,f31370]) ).
fof(f31370,plain,
( spl0_483
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f3030,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),not(X1))) )
| ~ spl0_94
| ~ spl0_159 ),
inference(resolution,[],[f2628,f943]) ).
fof(f31368,plain,
( spl0_482
| ~ spl0_50
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f2944,f2602,f322,f31366]) ).
fof(f31366,plain,
( spl0_482
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X0,not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f2944,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X0,not(X1))),X0)) )
| ~ spl0_50
| ~ spl0_153 ),
inference(resolution,[],[f2603,f323]) ).
fof(f31364,plain,
( spl0_481
| ~ spl0_79
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2799,f2578,f782,f31362]) ).
fof(f31362,plain,
( spl0_481
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f2799,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X1,X0))) )
| ~ spl0_79
| ~ spl0_147 ),
inference(resolution,[],[f2579,f783]) ).
fof(f31276,plain,
( spl0_480
| ~ spl0_95
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2697,f2554,f946,f31274]) ).
fof(f31274,plain,
( spl0_480
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f2697,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(X3) )
| ~ spl0_95
| ~ spl0_141 ),
inference(resolution,[],[f2555,f947]) ).
fof(f31272,plain,
( spl0_479
| ~ spl0_49
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2673,f2554,f318,f31270]) ).
fof(f31270,plain,
( spl0_479
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f2673,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,or(X1,X2))) )
| ~ spl0_49
| ~ spl0_141 ),
inference(resolution,[],[f2555,f319]) ).
fof(f31268,plain,
( spl0_478
| ~ spl0_6
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2510,f2119,f41,f31266]) ).
fof(f31266,plain,
( spl0_478
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f2510,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,X2),X1)) )
| ~ spl0_6
| ~ spl0_136 ),
inference(resolution,[],[f2120,f42]) ).
fof(f31264,plain,
( spl0_477
| ~ spl0_104
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2444,f2115,f1706,f31262]) ).
fof(f31262,plain,
( spl0_477
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f2444,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_104
| ~ spl0_135 ),
inference(resolution,[],[f2116,f1707]) ).
fof(f31260,plain,
( spl0_476
| ~ spl0_6
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2370,f2093,f41,f31258]) ).
fof(f31258,plain,
( spl0_476
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X1,X0),or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f2370,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X1,X0),or(X1,X0))) )
| ~ spl0_6
| ~ spl0_130 ),
inference(resolution,[],[f2094,f42]) ).
fof(f31256,plain,
( spl0_475
| ~ spl0_6
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2355,f2089,f41,f31254]) ).
fof(f2355,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X0,or(X2,X1))) )
| ~ spl0_6
| ~ spl0_129 ),
inference(resolution,[],[f2090,f42]) ).
fof(f31252,plain,
( spl0_474
| ~ spl0_21
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2345,f2085,f135,f31250]) ).
fof(f31250,plain,
( spl0_474
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,not(X1)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f2345,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,not(X1)),X3)) )
| ~ spl0_21
| ~ spl0_128 ),
inference(resolution,[],[f2086,f136]) ).
fof(f31248,plain,
( spl0_473
| ~ spl0_22
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2305,f2085,f139,f31246]) ).
fof(f31246,plain,
( spl0_473
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,not(or(X0,X0))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f2305,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,not(or(X0,X0))),X2)) )
| ~ spl0_22
| ~ spl0_128 ),
inference(resolution,[],[f2086,f140]) ).
fof(f31244,plain,
( spl0_472
| ~ spl0_10
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2282,f2085,f60,f31242]) ).
fof(f31242,plain,
( spl0_472
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(or(X0,X0))))
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f2282,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(or(X0,X0))))
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_10
| ~ spl0_128 ),
inference(resolution,[],[f2086,f61]) ).
fof(f31240,plain,
( spl0_471
| ~ spl0_75
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2280,f2085,f744,f31238]) ).
fof(f31238,plain,
( spl0_471
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(not(X0)))
| theorem(or(or(X1,or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f2280,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(or(X1,or(X0,X2)),X3)) )
| ~ spl0_75
| ~ spl0_128 ),
inference(resolution,[],[f2086,f745]) ).
fof(f31236,plain,
( spl0_470
| ~ spl0_6
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f26219,f25344,f41,f31234]) ).
fof(f31234,plain,
( spl0_470
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,not(not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f26219,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,not(not(X0)))) )
| ~ spl0_6
| ~ spl0_371 ),
inference(resolution,[],[f25345,f42]) ).
fof(f31232,plain,
( spl0_469
| ~ spl0_7
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2279,f2085,f46,f31230]) ).
fof(f31230,plain,
( spl0_469
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(not(X0)))
| theorem(or(or(X1,or(X2,X0)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f2279,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(or(X1,or(X2,X0)),X3)) )
| ~ spl0_7
| ~ spl0_128 ),
inference(resolution,[],[f2086,f47]) ).
fof(f31228,plain,
( spl0_468
| ~ spl0_11
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2211,f2073,f66,f31226]) ).
fof(f31226,plain,
( spl0_468
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f2211,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,or(X1,X0)))) )
| ~ spl0_11
| ~ spl0_125 ),
inference(resolution,[],[f2074,f67]) ).
fof(f31224,plain,
( spl0_467
| ~ spl0_6
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2192,f2069,f41,f31222]) ).
fof(f31222,plain,
( spl0_467
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X0,X1),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f2192,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X0,X1),X1))) )
| ~ spl0_6
| ~ spl0_124 ),
inference(resolution,[],[f2070,f42]) ).
fof(f31220,plain,
( spl0_466
| ~ spl0_16
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2006,f1847,f92,f31218]) ).
fof(f31218,plain,
( spl0_466
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,or(X3,X1)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f2006,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,or(X3,X1)),X0)) )
| ~ spl0_16
| ~ spl0_118 ),
inference(resolution,[],[f1848,f93]) ).
fof(f31216,plain,
( spl0_465
| ~ spl0_54
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2000,f1847,f417,f31214]) ).
fof(f31214,plain,
( spl0_465
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X1),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f2000,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X1),X3))) )
| ~ spl0_54
| ~ spl0_118 ),
inference(resolution,[],[f1848,f418]) ).
fof(f31212,plain,
( spl0_464
| ~ spl0_16
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1990,f1843,f92,f31210]) ).
fof(f31210,plain,
( spl0_464
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(or(not(X1),X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f1990,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(or(not(X1),X0)))) )
| ~ spl0_16
| ~ spl0_117 ),
inference(resolution,[],[f1844,f93]) ).
fof(f31208,plain,
( spl0_463
| ~ spl0_16
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1976,f1839,f92,f31206]) ).
fof(f31206,plain,
( spl0_463
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f1976,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_116 ),
inference(resolution,[],[f1840,f93]) ).
fof(f31204,plain,
( spl0_462
| ~ spl0_79
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1960,f1835,f782,f31202]) ).
fof(f31202,plain,
( spl0_462
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f1960,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X2,X0)),X2))) )
| ~ spl0_79
| ~ spl0_115 ),
inference(resolution,[],[f1836,f783]) ).
fof(f31200,plain,
( spl0_461
| ~ spl0_79
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1947,f1819,f782,f31198]) ).
fof(f31198,plain,
( spl0_461
<=> ! [X2,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(X2,not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f1947,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(X2,not(or(X1,X0)))) )
| ~ spl0_79
| ~ spl0_111 ),
inference(resolution,[],[f1820,f783]) ).
fof(f31196,plain,
( spl0_460
| ~ spl0_16
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1930,f1815,f92,f31194]) ).
fof(f31194,plain,
( spl0_460
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,not(X0))),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f1930,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,not(X0))),X1),X2)) )
| ~ spl0_16
| ~ spl0_110 ),
inference(resolution,[],[f1816,f93]) ).
fof(f31192,plain,
( spl0_459
| ~ spl0_106
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f26124,f25340,f1726,f31190]) ).
fof(f31190,plain,
( spl0_459
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(X1,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f26124,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(X1,not(X0)))) )
| ~ spl0_106
| ~ spl0_370 ),
inference(resolution,[],[f25341,f1727]) ).
fof(f31188,plain,
( spl0_458
| ~ spl0_17
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1925,f1815,f102,f31186]) ).
fof(f31186,plain,
( spl0_458
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,not(X0))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f1925,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,not(X0))),or(X2,X1))) )
| ~ spl0_17
| ~ spl0_110 ),
inference(resolution,[],[f1816,f103]) ).
fof(f31184,plain,
( spl0_457
| ~ spl0_95
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1915,f1811,f946,f31182]) ).
fof(f31182,plain,
( spl0_457
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,or(X2,X3))),X4))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f1915,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(or(X0,or(X1,or(X2,X3))),X4))
| ~ theorem(X2) )
| ~ spl0_95
| ~ spl0_109 ),
inference(resolution,[],[f1812,f947]) ).
fof(f31180,plain,
( spl0_456
| ~ spl0_87
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1909,f1811,f915,f31178]) ).
fof(f31178,plain,
( spl0_456
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f1909,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(or(X2,X1)) )
| ~ spl0_87
| ~ spl0_109 ),
inference(resolution,[],[f1812,f916]) ).
fof(f31176,plain,
( spl0_455
| ~ spl0_16
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1873,f1807,f92,f31174]) ).
fof(f31174,plain,
( spl0_455
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(X1,X1),not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f1873,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(X1,X1),not(X0))))) )
| ~ spl0_16
| ~ spl0_108 ),
inference(resolution,[],[f1808,f93]) ).
fof(f31172,plain,
( spl0_454
| ~ spl0_16
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1860,f1803,f92,f31170]) ).
fof(f31170,plain,
( spl0_454
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f1860,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,not(or(X1,X0)))) )
| ~ spl0_16
| ~ spl0_107 ),
inference(resolution,[],[f1804,f93]) ).
fof(f31168,plain,
( spl0_453
| ~ spl0_51
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1714,f1033,f357,f31166]) ).
fof(f31166,plain,
( spl0_453
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X1,X1),or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f1714,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X1,X1),or(X1,X1))) )
| ~ spl0_51
| ~ spl0_97 ),
inference(resolution,[],[f1034,f358]) ).
fof(f31164,plain,
( spl0_452
| ~ spl0_79
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1013,f942,f782,f31162]) ).
fof(f1013,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X0,X1))) )
| ~ spl0_79
| ~ spl0_94 ),
inference(resolution,[],[f943,f783]) ).
fof(f31160,plain,
( spl0_451
| ~ spl0_17
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f999,f938,f102,f31158]) ).
fof(f31158,plain,
( spl0_451
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(or(X2,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f999,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(or(X2,X0),X3))) )
| ~ spl0_17
| ~ spl0_93 ),
inference(resolution,[],[f939,f103]) ).
fof(f31156,plain,
( spl0_450
| ~ spl0_17
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f987,f923,f102,f31154]) ).
fof(f31154,plain,
( spl0_450
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X0,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f987,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X0,X0)),X2))) )
| ~ spl0_17
| ~ spl0_89 ),
inference(resolution,[],[f924,f103]) ).
fof(f31152,plain,
( spl0_449
| ~ spl0_52
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f904,f847,f361,f31150]) ).
fof(f31150,plain,
( spl0_449
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,not(or(X2,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f904,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,not(or(X2,X0))))) )
| ~ spl0_52
| ~ spl0_84 ),
inference(resolution,[],[f848,f362]) ).
fof(f31148,plain,
( spl0_448
| ~ spl0_85
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f26087,f25340,f907,f31146]) ).
fof(f31146,plain,
( spl0_448
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f26087,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(not(X0),X1))) )
| ~ spl0_85
| ~ spl0_370 ),
inference(resolution,[],[f25341,f908]) ).
fof(f31144,plain,
( spl0_447
| ~ spl0_51
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f898,f847,f357,f31142]) ).
fof(f31142,plain,
( spl0_447
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X1,not(X2))))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f898,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X1,not(X2))))))
| ~ theorem(X2) )
| ~ spl0_51
| ~ spl0_84 ),
inference(resolution,[],[f848,f358]) ).
fof(f31140,plain,
( spl0_446
| ~ spl0_57
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f880,f843,f450,f31138]) ).
fof(f31138,plain,
( spl0_446
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(not(X1),not(X1)))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f880,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(not(X1),not(X1)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_57
| ~ spl0_83 ),
inference(resolution,[],[f844,f451]) ).
fof(f31136,plain,
( spl0_445
| ~ spl0_52
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f858,f835,f361,f31134]) ).
fof(f31134,plain,
( spl0_445
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X0,X2)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f858,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X0,X2)),X2))) )
| ~ spl0_52
| ~ spl0_81 ),
inference(resolution,[],[f836,f362]) ).
fof(f31132,plain,
( spl0_444
| ~ spl0_51
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f851,f835,f357,f31130]) ).
fof(f31130,plain,
( spl0_444
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f851,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X2)))
| ~ theorem(X1) )
| ~ spl0_51
| ~ spl0_81 ),
inference(resolution,[],[f836,f358]) ).
fof(f31128,plain,
( spl0_443
| ~ spl0_67
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f828,f786,f590,f31126]) ).
fof(f31126,plain,
( spl0_443
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f786,plain,
( spl0_80
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f828,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X3,X1)))) )
| ~ spl0_67
| ~ spl0_80 ),
inference(resolution,[],[f787,f591]) ).
fof(f787,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f31124,plain,
( spl0_442
| ~ spl0_27
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f814,f782,f171,f31122]) ).
fof(f31122,plain,
( spl0_442
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X1,X2),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f814,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X1,X2),X2)) )
| ~ spl0_27
| ~ spl0_79 ),
inference(resolution,[],[f783,f172]) ).
fof(f31120,plain,
( spl0_441
| ~ spl0_68
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f766,f748,f623,f31118]) ).
fof(f766,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(not(X1)),X2)) )
| ~ spl0_68
| ~ spl0_76 ),
inference(resolution,[],[f749,f624]) ).
fof(f31116,plain,
( spl0_440
| ~ spl0_63
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f751,f744,f526,f31114]) ).
fof(f31114,plain,
( spl0_440
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f751,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X1,X3)))) )
| ~ spl0_63
| ~ spl0_75 ),
inference(resolution,[],[f745,f527]) ).
fof(f31112,plain,
( spl0_439
| ~ spl0_40
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f566,f526,f268,f31110]) ).
fof(f31110,plain,
( spl0_439
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f566,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(not(X1))))) )
| ~ spl0_40
| ~ spl0_63 ),
inference(resolution,[],[f527,f269]) ).
fof(f31034,plain,
( spl0_438
| ~ spl0_22
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f26072,f25340,f139,f31032]) ).
fof(f31032,plain,
( spl0_438
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f26072,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_22
| ~ spl0_370 ),
inference(resolution,[],[f25341,f140]) ).
fof(f29759,plain,
( spl0_437
| ~ spl0_75
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f26005,f25340,f744,f29757]) ).
fof(f29757,plain,
( spl0_437
<=> ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f26005,plain,
( ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X0,X1))) )
| ~ spl0_75
| ~ spl0_370 ),
inference(resolution,[],[f25341,f745]) ).
fof(f29002,plain,
( spl0_436
| ~ spl0_7
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f26003,f25340,f46,f29000]) ).
fof(f29000,plain,
( spl0_436
<=> ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f26003,plain,
( ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_7
| ~ spl0_370 ),
inference(resolution,[],[f25341,f47]) ).
fof(f28128,plain,
( spl0_435
| ~ spl0_76
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f23113,f22892,f748,f28126]) ).
fof(f23113,plain,
( ! [X0,X1] : theorem(or(not(or(not(not(X0)),X1)),or(X0,X1)))
| ~ spl0_76
| ~ spl0_340 ),
inference(resolution,[],[f22893,f749]) ).
fof(f28124,plain,
( spl0_434
| ~ spl0_76
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f22197,f21775,f748,f28122]) ).
fof(f21775,plain,
( spl0_329
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(X0,X1)),or(X0,X2)),or(not(X1),X2)))
| theorem(or(not(or(X0,X1)),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f22197,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_76
| ~ spl0_329 ),
inference(resolution,[],[f21776,f749]) ).
fof(f21776,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(X0,X1)),or(X0,X2)),or(not(X1),X2)))
| theorem(or(not(or(X0,X1)),or(X0,X2))) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f21775]) ).
fof(f28120,plain,
( spl0_433
| ~ spl0_76
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5473,f5156,f748,f28118]) ).
fof(f5473,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0))
| ~ spl0_76
| ~ spl0_221 ),
inference(resolution,[],[f5157,f749]) ).
fof(f28116,plain,
( spl0_432
| ~ spl0_23
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5454,f5156,f143,f28114]) ).
fof(f5454,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0))
| ~ spl0_23
| ~ spl0_221 ),
inference(resolution,[],[f5157,f144]) ).
fof(f28112,plain,
( spl0_431
| ~ spl0_20
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f5044,f4441,f125,f28110]) ).
fof(f28110,plain,
( spl0_431
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f5044,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_213 ),
inference(resolution,[],[f4442,f126]) ).
fof(f28108,plain,
( spl0_430
| ~ spl0_115
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f4168,f3840,f1835,f28106]) ).
fof(f28106,plain,
( spl0_430
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f4168,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) )
| ~ spl0_115
| ~ spl0_193 ),
inference(resolution,[],[f3841,f1836]) ).
fof(f28104,plain,
( spl0_429
| ~ spl0_40
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3104,f2635,f268,f28102]) ).
fof(f3104,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(not(X0))),X1)) )
| ~ spl0_40
| ~ spl0_161 ),
inference(resolution,[],[f2636,f269]) ).
fof(f28100,plain,
( ~ spl0_428
| spl0_1
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f26946,f26324,f18,f28097]) ).
fof(f28097,plain,
( spl0_428
<=> theorem(or(not(or(p,q)),not(or(not(p),q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f26324,plain,
( spl0_382
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f26946,plain,
( ~ theorem(or(not(or(p,q)),not(or(not(p),q))))
| spl0_1
| ~ spl0_382 ),
inference(resolution,[],[f26325,f20]) ).
fof(f26325,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f26324]) ).
fof(f28095,plain,
( spl0_427
| ~ spl0_10
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3068,f2635,f60,f28093]) ).
fof(f3068,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_10
| ~ spl0_161 ),
inference(resolution,[],[f2636,f61]) ).
fof(f28091,plain,
( spl0_426
| ~ spl0_75
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3066,f2635,f744,f28089]) ).
fof(f3066,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X0,X2)),X1)) )
| ~ spl0_75
| ~ spl0_161 ),
inference(resolution,[],[f2636,f745]) ).
fof(f28087,plain,
( spl0_425
| ~ spl0_7
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3065,f2635,f46,f28085]) ).
fof(f3065,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X0)),X1)) )
| ~ spl0_7
| ~ spl0_161 ),
inference(resolution,[],[f2636,f47]) ).
fof(f28083,plain,
( spl0_424
| ~ spl0_49
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3018,f2627,f318,f28081]) ).
fof(f28081,plain,
( spl0_424
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f3018,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),X0)) )
| ~ spl0_49
| ~ spl0_159 ),
inference(resolution,[],[f2628,f319]) ).
fof(f28079,plain,
( spl0_423
| ~ spl0_147
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3014,f2627,f2578,f28077]) ).
fof(f28077,plain,
( spl0_423
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(X0,not(X1)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f3014,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(X0,not(X1)),X0)) )
| ~ spl0_147
| ~ spl0_159 ),
inference(resolution,[],[f2628,f2579]) ).
fof(f28075,plain,
( spl0_422
| ~ spl0_10
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2807,f2582,f60,f28073]) ).
fof(f28073,plain,
( spl0_422
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f2807,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X0)) )
| ~ spl0_10
| ~ spl0_148 ),
inference(resolution,[],[f2583,f61]) ).
fof(f28071,plain,
( spl0_421
| ~ spl0_55
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2667,f2554,f442,f28069]) ).
fof(f28069,plain,
( spl0_421
<=> ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f442,plain,
( spl0_55
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f2667,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1)))
| ~ spl0_55
| ~ spl0_141 ),
inference(resolution,[],[f2555,f443]) ).
fof(f443,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f28067,plain,
( spl0_420
| ~ spl0_15
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2266,f2077,f85,f28065]) ).
fof(f28065,plain,
( spl0_420
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(not(or(X0,not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f2266,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(not(or(X0,not(X1)))) )
| ~ spl0_15
| ~ spl0_126 ),
inference(resolution,[],[f2078,f86]) ).
fof(f28063,plain,
( spl0_419
| ~ spl0_50
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2194,f2069,f322,f28061]) ).
fof(f28061,plain,
( spl0_419
<=> ! [X0] : theorem(or(not(or(X0,or(or(X0,X0),X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f2194,plain,
( ! [X0] : theorem(or(not(or(X0,or(or(X0,X0),X0))),X0))
| ~ spl0_50
| ~ spl0_124 ),
inference(resolution,[],[f2070,f323]) ).
fof(f28059,plain,
( spl0_418
| ~ spl0_27
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2174,f2065,f171,f28057]) ).
fof(f28057,plain,
( spl0_418
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f2174,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,not(X2))) )
| ~ spl0_27
| ~ spl0_123 ),
inference(resolution,[],[f2066,f172]) ).
fof(f28051,plain,
( spl0_417
| ~ spl0_6
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1974,f1839,f41,f28049]) ).
fof(f28049,plain,
( spl0_417
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f1974,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_116 ),
inference(resolution,[],[f1840,f42]) ).
fof(f28047,plain,
( spl0_416
| ~ spl0_82
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1917,f1811,f839,f28045]) ).
fof(f28045,plain,
( spl0_416
<=> ! [X2,X0,X1,X3] : theorem(or(or(X0,or(or(not(X1),X1),X2)),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f1917,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(X0,or(or(not(X1),X1),X2)),X3))
| ~ spl0_82
| ~ spl0_109 ),
inference(resolution,[],[f1812,f840]) ).
fof(f28043,plain,
( spl0_415
| ~ spl0_6
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1871,f1807,f41,f28041]) ).
fof(f28041,plain,
( spl0_415
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(X1,X1),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f1871,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(X1,X1),not(X0))) )
| ~ spl0_6
| ~ spl0_108 ),
inference(resolution,[],[f1808,f42]) ).
fof(f28039,plain,
( spl0_414
| ~ spl0_6
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1858,f1803,f41,f28037]) ).
fof(f28037,plain,
( spl0_414
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f1858,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_107 ),
inference(resolution,[],[f1804,f42]) ).
fof(f28035,plain,
( spl0_413
| ~ spl0_16
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1796,f1710,f92,f28033]) ).
fof(f28033,plain,
( spl0_413
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f1796,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X1)),X2))
| ~ spl0_16
| ~ spl0_105 ),
inference(resolution,[],[f1711,f93]) ).
fof(f28031,plain,
( spl0_412
| ~ spl0_17
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1792,f1710,f102,f28029]) ).
fof(f28029,plain,
( spl0_412
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f1792,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,X2)),X2))))
| ~ spl0_17
| ~ spl0_105 ),
inference(resolution,[],[f1711,f103]) ).
fof(f28027,plain,
( spl0_411
| ~ spl0_54
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1791,f1710,f417,f28025]) ).
fof(f28025,plain,
( spl0_411
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,X2)),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f1791,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,X2)),X2),X1)))
| ~ spl0_54
| ~ spl0_105 ),
inference(resolution,[],[f1711,f418]) ).
fof(f28023,plain,
( spl0_410
| ~ spl0_16
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1788,f1706,f92,f28021]) ).
fof(f28021,plain,
( spl0_410
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f1788,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X2))))
| ~ spl0_16
| ~ spl0_104 ),
inference(resolution,[],[f1707,f93]) ).
fof(f28019,plain,
( spl0_409
| ~ spl0_50
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1786,f1706,f322,f28017]) ).
fof(f1786,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1)))
| ~ spl0_50
| ~ spl0_104 ),
inference(resolution,[],[f1707,f323]) ).
fof(f28015,plain,
( spl0_408
| ~ spl0_17
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1785,f1706,f102,f28013]) ).
fof(f28013,plain,
( spl0_408
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f1785,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(X2,X1))))
| ~ spl0_17
| ~ spl0_104 ),
inference(resolution,[],[f1707,f103]) ).
fof(f28011,plain,
( ~ spl0_407
| spl0_1
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f26649,f26304,f18,f28008]) ).
fof(f28008,plain,
( spl0_407
<=> theorem(or(q,not(or(not(p),q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f26304,plain,
( spl0_377
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f26649,plain,
( ~ theorem(or(q,not(or(not(p),q))))
| spl0_1
| ~ spl0_377 ),
inference(resolution,[],[f26305,f20]) ).
fof(f26305,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f26304]) ).
fof(f28006,plain,
( spl0_406
| ~ spl0_54
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1784,f1706,f417,f28004]) ).
fof(f28004,plain,
( spl0_406
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f1784,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0)))
| ~ spl0_54
| ~ spl0_104 ),
inference(resolution,[],[f1707,f418]) ).
fof(f28002,plain,
( spl0_405
| ~ spl0_16
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1771,f1050,f92,f28000]) ).
fof(f28000,plain,
( spl0_405
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1771,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),not(X0))),X1)) )
| ~ spl0_16
| ~ spl0_101 ),
inference(resolution,[],[f1051,f93]) ).
fof(f27998,plain,
( spl0_404
| ~ spl0_16
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1731,f1037,f92,f27996]) ).
fof(f27996,plain,
( spl0_404
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X0))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1731,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X0))),X1)))
| ~ spl0_16
| ~ spl0_98 ),
inference(resolution,[],[f1038,f93]) ).
fof(f27994,plain,
( spl0_403
| ~ spl0_16
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1718,f1033,f92,f27992]) ).
fof(f27992,plain,
( spl0_403
<=> ! [X0] : theorem(or(X0,not(or(or(X0,X0),or(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1718,plain,
( ! [X0] : theorem(or(X0,not(or(or(X0,X0),or(X0,X0)))))
| ~ spl0_16
| ~ spl0_97 ),
inference(resolution,[],[f1034,f93]) ).
fof(f27990,plain,
( spl0_402
| ~ spl0_6
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1007,f942,f41,f27988]) ).
fof(f27988,plain,
( spl0_402
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1007,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_94 ),
inference(resolution,[],[f943,f42]) ).
fof(f27986,plain,
( spl0_401
| ~ spl0_47
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f876,f843,f310,f27984]) ).
fof(f27984,plain,
( spl0_401
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f876,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_83 ),
inference(resolution,[],[f844,f311]) ).
fof(f27982,plain,
( spl0_400
| ~ spl0_67
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f868,f839,f590,f27980]) ).
fof(f27980,plain,
( spl0_400
<=> ! [X2,X0,X1,X3] : theorem(or(X0,or(X1,or(or(not(X2),X2),X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f868,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(X1,or(or(not(X2),X2),X3))))
| ~ spl0_67
| ~ spl0_82 ),
inference(resolution,[],[f840,f591]) ).
fof(f27143,plain,
( ~ spl0_399
| spl0_1
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f26853,f26320,f18,f27140]) ).
fof(f27140,plain,
( spl0_399
<=> theorem(not(not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f26320,plain,
( spl0_381
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f26853,plain,
( ~ theorem(not(not(q)))
| spl0_1
| ~ spl0_381 ),
inference(resolution,[],[f26321,f20]) ).
fof(f26321,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(not(not(X0))) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f26320]) ).
fof(f26451,plain,
( spl0_398
| ~ spl0_182
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f25820,f25328,f3774,f26449]) ).
fof(f26449,plain,
( spl0_398
<=> ! [X0,X1] : ~ theorem(not(or(X0,or(X1,not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f25328,plain,
( spl0_367
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f25820,plain,
( ! [X0,X1] : ~ theorem(not(or(X0,or(X1,not(X1)))))
| ~ spl0_182
| ~ spl0_367 ),
inference(resolution,[],[f25329,f3775]) ).
fof(f25329,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2))
| ~ spl0_367 ),
inference(avatar_component_clause,[],[f25328]) ).
fof(f26387,plain,
( spl0_397
| ~ spl0_20
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f3281,f3203,f125,f26385]) ).
fof(f26385,plain,
( spl0_397
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f3281,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_166 ),
inference(resolution,[],[f3204,f126]) ).
fof(f26383,plain,
( spl0_396
| ~ spl0_15
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2800,f2578,f85,f26381]) ).
fof(f26381,plain,
( spl0_396
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f2800,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X1,X0)) )
| ~ spl0_15
| ~ spl0_147 ),
inference(resolution,[],[f2579,f86]) ).
fof(f26379,plain,
( spl0_395
| ~ spl0_78
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2264,f2077,f778,f26377]) ).
fof(f26377,plain,
( spl0_395
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f2264,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) )
| ~ spl0_78
| ~ spl0_126 ),
inference(resolution,[],[f2078,f779]) ).
fof(f26375,plain,
( spl0_394
| ~ spl0_40
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2231,f2073,f268,f26373]) ).
fof(f2231,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(not(X0))))) )
| ~ spl0_40
| ~ spl0_125 ),
inference(resolution,[],[f2074,f269]) ).
fof(f26371,plain,
( spl0_393
| ~ spl0_7
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2202,f2073,f46,f26369]) ).
fof(f26369,plain,
( spl0_393
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f2202,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X0)))) )
| ~ spl0_7
| ~ spl0_125 ),
inference(resolution,[],[f2074,f47]) ).
fof(f26367,plain,
( spl0_392
| ~ spl0_26
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2160,f2065,f163,f26365]) ).
fof(f26365,plain,
( spl0_392
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),X0))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f2160,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),X0))))
| ~ theorem(X1) )
| ~ spl0_26
| ~ spl0_123 ),
inference(resolution,[],[f2066,f164]) ).
fof(f26363,plain,
( spl0_391
| ~ spl0_87
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2036,f1851,f915,f26361]) ).
fof(f26361,plain,
( spl0_391
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f2036,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X2)) )
| ~ spl0_87
| ~ spl0_119 ),
inference(resolution,[],[f1852,f916]) ).
fof(f26359,plain,
( spl0_390
| ~ spl0_48
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1959,f1835,f314,f26357]) ).
fof(f26357,plain,
( spl0_390
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f1959,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,X0)),X1)) )
| ~ spl0_48
| ~ spl0_115 ),
inference(resolution,[],[f1836,f315]) ).
fof(f26355,plain,
( spl0_389
| ~ spl0_15
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1948,f1819,f85,f26353]) ).
fof(f26353,plain,
( spl0_389
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f1948,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(not(or(X1,X0))) )
| ~ spl0_15
| ~ spl0_111 ),
inference(resolution,[],[f1820,f86]) ).
fof(f26350,plain,
( spl0_388
| ~ spl0_80
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1910,f1811,f786,f26348]) ).
fof(f1910,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) )
| ~ spl0_80
| ~ spl0_109 ),
inference(resolution,[],[f1812,f787]) ).
fof(f26346,plain,
( spl0_387
| ~ spl0_49
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1884,f1811,f318,f26344]) ).
fof(f26344,plain,
( spl0_387
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f1884,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X1,X2)) )
| ~ spl0_49
| ~ spl0_109 ),
inference(resolution,[],[f1812,f319]) ).
fof(f26342,plain,
( spl0_386
| ~ spl0_6
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1716,f1033,f41,f26340]) ).
fof(f1716,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),or(X0,X0))) )
| ~ spl0_6
| ~ spl0_97 ),
inference(resolution,[],[f1034,f42]) ).
fof(f26338,plain,
( spl0_385
| ~ spl0_16
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1030,f946,f92,f26336]) ).
fof(f26336,plain,
( spl0_385
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(or(X1,or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f1030,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,or(X0,X2)),X3)) )
| ~ spl0_16
| ~ spl0_95 ),
inference(resolution,[],[f947,f93]) ).
fof(f26334,plain,
( spl0_384
| ~ spl0_16
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1016,f942,f92,f26332]) ).
fof(f26332,plain,
( spl0_384
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f1016,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X2),X0)) )
| ~ spl0_16
| ~ spl0_94 ),
inference(resolution,[],[f943,f93]) ).
fof(f26330,plain,
( spl0_383
| ~ spl0_15
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1014,f942,f85,f26328]) ).
fof(f26328,plain,
( spl0_383
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f1014,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_94 ),
inference(resolution,[],[f943,f86]) ).
fof(f26326,plain,
( spl0_382
| ~ spl0_17
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1010,f942,f102,f26324]) ).
fof(f1010,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_94 ),
inference(resolution,[],[f943,f103]) ).
fof(f26322,plain,
( spl0_381
| ~ spl0_79
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f993,f938,f782,f26320]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_79
| ~ spl0_93 ),
inference(resolution,[],[f939,f783]) ).
fof(f26318,plain,
( spl0_380
| ~ spl0_79
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f981,f923,f782,f26316]) ).
fof(f26316,plain,
( spl0_380
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f981,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,not(or(X0,X0)))) )
| ~ spl0_79
| ~ spl0_89 ),
inference(resolution,[],[f924,f783]) ).
fof(f26314,plain,
( spl0_379
| ~ spl0_16
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f973,f915,f92,f26312]) ).
fof(f26312,plain,
( spl0_379
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_16
| ~ spl0_87 ),
inference(resolution,[],[f916,f93]) ).
fof(f26310,plain,
( spl0_378
| ~ spl0_6
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f25663,f25316,f41,f26308]) ).
fof(f26308,plain,
( spl0_378
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f25663,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,or(X0,X0))) )
| ~ spl0_6
| ~ spl0_364 ),
inference(resolution,[],[f25317,f42]) ).
fof(f26306,plain,
( spl0_377
| ~ spl0_17
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f967,f915,f102,f26304]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_17
| ~ spl0_87 ),
inference(resolution,[],[f916,f103]) ).
fof(f26302,plain,
( spl0_376
| ~ spl0_6
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f853,f835,f41,f26300]) ).
fof(f26300,plain,
( spl0_376
<=> ! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f853,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_81 ),
inference(resolution,[],[f836,f42]) ).
fof(f26298,plain,
( spl0_375
| ~ spl0_17
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f795,f774,f102,f26296]) ).
fof(f774,plain,
( spl0_77
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f795,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(or(X0,X2),X3))) )
| ~ spl0_17
| ~ spl0_77 ),
inference(resolution,[],[f775,f103]) ).
fof(f775,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(X0) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f26294,plain,
( spl0_374
| ~ spl0_52
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f760,f744,f361,f26292]) ).
fof(f26292,plain,
( spl0_374
<=> ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f760,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X0,X2))) )
| ~ spl0_52
| ~ spl0_75 ),
inference(resolution,[],[f745,f362]) ).
fof(f26290,plain,
( spl0_373
| ~ spl0_31
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f306,f268,f192,f26288]) ).
fof(f306,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_31
| ~ spl0_40 ),
inference(resolution,[],[f269,f193]) ).
fof(f25805,plain,
( spl0_372
| ~ spl0_182
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f25525,f23982,f3774,f25803]) ).
fof(f25803,plain,
( spl0_372
<=> ! [X0,X1] : ~ theorem(not(or(X0,or(not(X1),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f25525,plain,
( ! [X0,X1] : ~ theorem(not(or(X0,or(not(X1),X1))))
| ~ spl0_182
| ~ spl0_350 ),
inference(resolution,[],[f23983,f3775]) ).
fof(f25346,plain,
( spl0_371
| ~ spl0_21
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5447,f5156,f135,f25344]) ).
fof(f5447,plain,
( ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0))
| ~ spl0_21
| ~ spl0_221 ),
inference(resolution,[],[f5157,f136]) ).
fof(f25342,plain,
( spl0_370
| ~ spl0_115
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3019,f2627,f1835,f25340]) ).
fof(f3019,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(not(X1)) )
| ~ spl0_115
| ~ spl0_159 ),
inference(resolution,[],[f2628,f1836]) ).
fof(f25338,plain,
( spl0_369
| ~ spl0_76
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2695,f2554,f748,f25336]) ).
fof(f2695,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2)))))
| ~ spl0_76
| ~ spl0_141 ),
inference(resolution,[],[f2555,f749]) ).
fof(f25334,plain,
( spl0_368
| ~ spl0_39
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2015,f1851,f260,f25332]) ).
fof(f2015,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0)))
| ~ spl0_39
| ~ spl0_119 ),
inference(resolution,[],[f1852,f261]) ).
fof(f25330,plain,
( spl0_367
| ~ spl0_76
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1913,f1811,f748,f25328]) ).
fof(f1913,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2))
| ~ spl0_76
| ~ spl0_109 ),
inference(resolution,[],[f1812,f749]) ).
fof(f25326,plain,
( spl0_366
| ~ spl0_23
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1896,f1811,f143,f25324]) ).
fof(f25324,plain,
( spl0_366
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f1896,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X1)),X2))
| ~ spl0_23
| ~ spl0_109 ),
inference(resolution,[],[f1812,f144]) ).
fof(f25322,plain,
( spl0_365
| ~ spl0_25
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1886,f1811,f159,f25320]) ).
fof(f1886,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1))
| ~ spl0_25
| ~ spl0_109 ),
inference(resolution,[],[f1812,f160]) ).
fof(f25318,plain,
( spl0_364
| ~ spl0_48
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1729,f1037,f314,f25316]) ).
fof(f1729,plain,
( ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0))
| ~ spl0_48
| ~ spl0_98 ),
inference(resolution,[],[f1038,f315]) ).
fof(f25213,plain,
( spl0_363
| ~ spl0_48
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f724,f706,f314,f25211]) ).
fof(f25211,plain,
( spl0_363
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)),X1))
| theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f706,plain,
( spl0_72
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f724,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)),X1))
| theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2))) )
| ~ spl0_48
| ~ spl0_72 ),
inference(resolution,[],[f707,f315]) ).
fof(f707,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f25108,plain,
( spl0_362
| ~ spl0_48
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f692,f662,f314,f25106]) ).
fof(f25106,plain,
( spl0_362
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))),X2))
| theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f662,plain,
( spl0_70
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f692,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))),X2))
| theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3)))) )
| ~ spl0_48
| ~ spl0_70 ),
inference(resolution,[],[f663,f315]) ).
fof(f663,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f25104,plain,
( spl0_361
| ~ spl0_16
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f905,f847,f92,f25102]) ).
fof(f905,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1))
| ~ spl0_16
| ~ spl0_84 ),
inference(resolution,[],[f848,f93]) ).
fof(f24936,plain,
( spl0_360
| ~ spl0_15
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f721,f706,f85,f24934]) ).
fof(f721,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1),X0))
| theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1)) )
| ~ spl0_15
| ~ spl0_72 ),
inference(resolution,[],[f707,f86]) ).
fof(f24932,plain,
( spl0_359
| ~ spl0_48
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f704,f666,f314,f24930]) ).
fof(f666,plain,
( spl0_71
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f704,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(not(X1),X2)),or(X3,X2))),or(X3,X1)))
| theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2)))) )
| ~ spl0_48
| ~ spl0_71 ),
inference(resolution,[],[f667,f315]) ).
fof(f667,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f24673,plain,
( spl0_358
| ~ spl0_48
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f737,f710,f314,f24671]) ).
fof(f24671,plain,
( spl0_358
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(or(X2,or(not(or(not(X3),X0)),X1)),X3))
| theorem(or(X2,or(not(or(not(X3),X0)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f710,plain,
( spl0_73
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f737,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(or(X2,or(not(or(not(X3),X0)),X1)),X3))
| theorem(or(X2,or(not(or(not(X3),X0)),X1))) )
| ~ spl0_48
| ~ spl0_73 ),
inference(resolution,[],[f711,f315]) ).
fof(f711,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X2,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3)) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f24669,plain,
( spl0_357
| ~ spl0_48
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f680,f658,f314,f24667]) ).
fof(f658,plain,
( spl0_69
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f680,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(X1,X2)),or(X1,X3))),or(not(X2),X3)))
| theorem(or(X0,or(not(or(X1,X2)),or(X1,X3)))) )
| ~ spl0_48
| ~ spl0_69 ),
inference(resolution,[],[f659,f315]) ).
fof(f659,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f24665,plain,
( spl0_356
| ~ spl0_62
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f605,f590,f522,f24663]) ).
fof(f24663,plain,
( spl0_356
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(or(not(X0),or(X1,or(X2,X3))),or(not(X0),or(X1,or(X2,X3))))),or(X2,or(X1,X3))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f522,plain,
( spl0_62
<=> ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f605,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(or(not(X0),or(X1,or(X2,X3))),or(not(X0),or(X1,or(X2,X3))))),or(X2,or(X1,X3))))
| ~ theorem(X0) )
| ~ spl0_62
| ~ spl0_67 ),
inference(resolution,[],[f591,f523]) ).
fof(f523,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f24661,plain,
( spl0_355
| ~ spl0_16
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f872,f839,f92,f24659]) ).
fof(f24659,plain,
( spl0_355
<=> ! [X2,X0,X1] : theorem(or(or(or(not(X0),X0),X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f872,plain,
( ! [X2,X0,X1] : theorem(or(or(or(not(X0),X0),X1),X2))
| ~ spl0_16
| ~ spl0_82 ),
inference(resolution,[],[f840,f93]) ).
fof(f24215,plain,
( spl0_354
| ~ spl0_63
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f725,f710,f526,f24213]) ).
fof(f24213,plain,
( spl0_354
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| ~ theorem(or(X4,X2))
| theorem(or(X4,or(X5,or(not(or(not(X3),X0)),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f725,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| ~ theorem(or(X4,X2))
| theorem(or(X4,or(X5,or(not(or(not(X3),X0)),X1)))) )
| ~ spl0_63
| ~ spl0_73 ),
inference(resolution,[],[f711,f527]) ).
fof(f24211,plain,
( spl0_353
| ~ spl0_63
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f713,f706,f526,f24209]) ).
fof(f24209,plain,
( spl0_353
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,or(X3,or(not(or(or(not(X1),X4),or(not(X1),X4))),X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f713,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,or(X3,or(not(or(or(not(X1),X4),or(not(X1),X4))),X4)))) )
| ~ spl0_63
| ~ spl0_72 ),
inference(resolution,[],[f707,f527]) ).
fof(f24207,plain,
( spl0_352
| ~ spl0_15
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f689,f662,f85,f24205]) ).
fof(f689,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(X0,or(not(X1),X2))),or(X0,X2)),X1))
| theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2))) )
| ~ spl0_15
| ~ spl0_70 ),
inference(resolution,[],[f663,f86]) ).
fof(f24203,plain,
( spl0_351
| ~ spl0_62
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f638,f623,f522,f24201]) ).
fof(f24201,plain,
( spl0_351
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(or(not(X0),or(X1,X2)),or(not(X0),or(X1,X2)))),or(X1,X3)))
| ~ theorem(or(not(X2),X3))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f638,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(or(not(X0),or(X1,X2)),or(not(X0),or(X1,X2)))),or(X1,X3)))
| ~ theorem(or(not(X2),X3))
| ~ theorem(X0) )
| ~ spl0_62
| ~ spl0_68 ),
inference(resolution,[],[f624,f523]) ).
fof(f23984,plain,
( spl0_350
| ~ spl0_54
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f865,f839,f417,f23982]) ).
fof(f865,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl0_54
| ~ spl0_82 ),
inference(resolution,[],[f840,f418]) ).
fof(f23680,plain,
( spl0_349
| ~ spl0_67
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f720,f706,f590,f23678]) ).
fof(f23678,plain,
( spl0_349
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(or(not(X1),or(X2,X3)),or(not(X1),or(X2,X3)))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f720,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(or(not(X1),or(X2,X3)),or(not(X1),or(X2,X3)))),X3)))) )
| ~ spl0_67
| ~ spl0_72 ),
inference(resolution,[],[f707,f591]) ).
fof(f23676,plain,
( spl0_348
| ~ spl0_63
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f693,f666,f526,f23674]) ).
fof(f23674,plain,
( spl0_348
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| ~ theorem(or(X3,X0))
| theorem(or(X3,or(X4,or(not(or(not(X2),X5)),or(X1,X5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f693,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ theorem(or(not(X0),or(X1,X2)))
| ~ theorem(or(X3,X0))
| theorem(or(X3,or(X4,or(not(or(not(X2),X5)),or(X1,X5))))) )
| ~ spl0_63
| ~ spl0_71 ),
inference(resolution,[],[f667,f527]) ).
fof(f23672,plain,
( spl0_347
| ~ spl0_63
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f681,f662,f526,f23670]) ).
fof(f23670,plain,
( spl0_347
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,or(X3,or(not(or(X4,or(not(X1),X5))),or(X4,X5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f681,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X0))
| theorem(or(X2,or(X3,or(not(or(X4,or(not(X1),X5))),or(X4,X5))))) )
| ~ spl0_63
| ~ spl0_70 ),
inference(resolution,[],[f663,f527]) ).
fof(f23668,plain,
( spl0_346
| ~ spl0_63
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f669,f658,f526,f23666]) ).
fof(f23666,plain,
( spl0_346
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| ~ theorem(or(X3,X0))
| theorem(or(X3,or(X4,or(not(or(X5,X1)),or(X5,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f669,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| ~ theorem(or(X3,X0))
| theorem(or(X3,or(X4,or(not(or(X5,X1)),or(X5,X2))))) )
| ~ spl0_63
| ~ spl0_69 ),
inference(resolution,[],[f659,f527]) ).
fof(f23293,plain,
( spl0_345
| ~ spl0_16
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f859,f835,f92,f23291]) ).
fof(f23291,plain,
( spl0_345
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f859,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0))
| ~ spl0_16
| ~ spl0_81 ),
inference(resolution,[],[f836,f93]) ).
fof(f22910,plain,
( spl0_344
| ~ spl0_68
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f729,f710,f623,f22908]) ).
fof(f22908,plain,
( spl0_344
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3))
| theorem(or(X2,or(not(or(not(X3),X0)),X4)))
| ~ theorem(or(not(X1),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f729,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3))
| theorem(or(X2,or(not(or(not(X3),X0)),X4)))
| ~ theorem(or(not(X1),X4)) )
| ~ spl0_68
| ~ spl0_73 ),
inference(resolution,[],[f711,f624]) ).
fof(f22906,plain,
( spl0_343
| ~ spl0_31
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f727,f710,f192,f22904]) ).
fof(f22904,plain,
( spl0_343
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| theorem(or(X4,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(X4,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f727,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| theorem(or(X4,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(X4,X2)) )
| ~ spl0_31
| ~ spl0_73 ),
inference(resolution,[],[f711,f193]) ).
fof(f22902,plain,
( spl0_342
| ~ spl0_68
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f717,f706,f623,f22900]) ).
fof(f22900,plain,
( spl0_342
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X3)))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f717,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X3)))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_68
| ~ spl0_72 ),
inference(resolution,[],[f707,f624]) ).
fof(f22898,plain,
( spl0_341
| ~ spl0_31
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f715,f706,f192,f22896]) ).
fof(f22896,plain,
( spl0_341
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(or(not(X1),X3),or(not(X1),X3))),X3)))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f715,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(or(not(X1),X3),or(not(X1),X3))),X3)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_72 ),
inference(resolution,[],[f707,f193]) ).
fof(f22894,plain,
( spl0_340
| ~ spl0_15
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f701,f666,f85,f22892]) ).
fof(f701,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),or(X2,X0)))
| theorem(or(not(or(not(X0),X1)),or(X2,X1))) )
| ~ spl0_15
| ~ spl0_71 ),
inference(resolution,[],[f667,f86]) ).
fof(f22890,plain,
( spl0_339
| ~ spl0_56
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f649,f623,f446,f22888]) ).
fof(f22888,plain,
( spl0_339
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X0,X3)))
| ~ theorem(or(not(X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f446,plain,
( spl0_56
<=> ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f649,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X0,X3)))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_56
| ~ spl0_68 ),
inference(resolution,[],[f624,f447]) ).
fof(f447,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f22886,plain,
( spl0_338
| ~ spl0_54
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f855,f835,f417,f22884]) ).
fof(f855,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1)))))
| ~ spl0_54
| ~ spl0_81 ),
inference(resolution,[],[f836,f418]) ).
fof(f22882,plain,
( spl0_337
| ~ spl0_65
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f637,f623,f535,f22880]) ).
fof(f22880,plain,
( spl0_337
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X3)))
| ~ theorem(or(not(X4),X3))
| ~ theorem(or(not(X1),or(X2,X4)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f637,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(not(or(not(X0),X1)),or(X2,X3)))
| ~ theorem(or(not(X4),X3))
| ~ theorem(or(not(X1),or(X2,X4)))
| ~ theorem(X0) )
| ~ spl0_65
| ~ spl0_68 ),
inference(resolution,[],[f624,f536]) ).
fof(f21886,plain,
( spl0_336
| ~ spl0_67
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f759,f744,f590,f21884]) ).
fof(f759,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2))))
| ~ spl0_67
| ~ spl0_75 ),
inference(resolution,[],[f745,f591]) ).
fof(f21801,plain,
( spl0_335
| ~ spl0_15
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f734,f710,f85,f21799]) ).
fof(f734,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(or(not(or(not(X2),X0)),X1),X2))
| theorem(or(not(or(not(X2),X0)),X1)) )
| ~ spl0_15
| ~ spl0_73 ),
inference(resolution,[],[f711,f86]) ).
fof(f21797,plain,
( spl0_334
| ~ spl0_67
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f733,f710,f590,f21795]) ).
fof(f21795,plain,
( spl0_334
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| ~ theorem(or(X3,X4))
| theorem(or(X3,or(X1,or(not(or(not(X4),X0)),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f733,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(X1,X2)))
| ~ theorem(or(X3,X4))
| theorem(or(X3,or(X1,or(not(or(not(X4),X0)),X2)))) )
| ~ spl0_67
| ~ spl0_73 ),
inference(resolution,[],[f711,f591]) ).
fof(f21793,plain,
( spl0_333
| ~ spl0_68
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f698,f666,f623,f21791]) ).
fof(f698,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(not(or(not(X2),X3)),X4)))
| ~ theorem(or(not(or(X1,X3)),X4)) )
| ~ spl0_68
| ~ spl0_71 ),
inference(resolution,[],[f667,f624]) ).
fof(f21789,plain,
( spl0_332
| ~ spl0_31
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f695,f666,f192,f21787]) ).
fof(f695,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(not(or(not(X2),X4)),or(X1,X4))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_31
| ~ spl0_71 ),
inference(resolution,[],[f667,f193]) ).
fof(f21785,plain,
( spl0_331
| ~ spl0_68
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f686,f662,f623,f21783]) ).
fof(f21783,plain,
( spl0_331
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(X2,or(not(X1),X3))),X4)))
| ~ theorem(or(not(or(X2,X3)),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f686,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(X2,or(not(X1),X3))),X4)))
| ~ theorem(or(not(or(X2,X3)),X4)) )
| ~ spl0_68
| ~ spl0_70 ),
inference(resolution,[],[f663,f624]) ).
fof(f21781,plain,
( spl0_330
| ~ spl0_31
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f683,f662,f192,f21779]) ).
fof(f21779,plain,
( spl0_330
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,or(not(X1),X4))),or(X3,X4))))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f683,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,or(not(X1),X4))),or(X3,X4))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_70 ),
inference(resolution,[],[f663,f193]) ).
fof(f21777,plain,
( spl0_329
| ~ spl0_15
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f677,f658,f85,f21775]) ).
fof(f677,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(or(X0,X1)),or(X0,X2)),or(not(X1),X2)))
| theorem(or(not(or(X0,X1)),or(X0,X2))) )
| ~ spl0_15
| ~ spl0_69 ),
inference(resolution,[],[f659,f86]) ).
fof(f21773,plain,
( spl0_328
| ~ spl0_68
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f674,f658,f623,f21771]) ).
fof(f674,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(not(or(X3,X1)),X4)))
| ~ theorem(or(not(or(X3,X2)),X4)) )
| ~ spl0_68
| ~ spl0_69 ),
inference(resolution,[],[f659,f624]) ).
fof(f21768,plain,
( spl0_327
| ~ spl0_31
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f671,f658,f192,f21766]) ).
fof(f671,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(X3,or(not(or(X4,X1)),or(X4,X2))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_31
| ~ spl0_69 ),
inference(resolution,[],[f659,f193]) ).
fof(f21764,plain,
( spl0_326
| ~ spl0_60
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f650,f623,f482,f21762]) ).
fof(f21762,plain,
( spl0_326
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(or(not(or(or(X0,X1),X2)),X3),or(X0,X4)))
| ~ theorem(or(not(X1),X4))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f650,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(or(not(or(or(X0,X1),X2)),X3),or(X0,X4)))
| ~ theorem(or(not(X1),X4))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_60
| ~ spl0_68 ),
inference(resolution,[],[f624,f483]) ).
fof(f21760,plain,
( spl0_325
| ~ spl0_65
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f604,f590,f535,f21758]) ).
fof(f21758,plain,
( spl0_325
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X4))))
| ~ theorem(or(not(X1),or(X3,or(X2,X4))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f604,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X4))))
| ~ theorem(or(not(X1),or(X3,or(X2,X4))))
| ~ theorem(X0) )
| ~ spl0_65
| ~ spl0_67 ),
inference(resolution,[],[f591,f536]) ).
fof(f21238,plain,
( spl0_324
| ~ spl0_52
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f735,f710,f361,f21236]) ).
fof(f21236,plain,
( spl0_324
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3))
| theorem(or(X2,X4))
| ~ theorem(not(or(not(or(not(X3),X0)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f735,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3))
| theorem(or(X2,X4))
| ~ theorem(not(or(not(or(not(X3),X0)),X1))) )
| ~ spl0_52
| ~ spl0_73 ),
inference(resolution,[],[f711,f362]) ).
fof(f21234,plain,
( spl0_323
| ~ spl0_51
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f726,f710,f357,f21232]) ).
fof(f21232,plain,
( spl0_323
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| theorem(or(X4,or(not(or(not(X3),X0)),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f726,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| theorem(or(X4,or(not(or(not(X3),X0)),X1)))
| ~ theorem(X2) )
| ~ spl0_51
| ~ spl0_73 ),
inference(resolution,[],[f711,f358]) ).
fof(f21230,plain,
( spl0_322
| ~ spl0_52
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f722,f706,f361,f21228]) ).
fof(f21228,plain,
( spl0_322
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(not(or(or(not(X1),X3),or(not(X1),X3))),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f722,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(not(or(or(not(X1),X3),or(not(X1),X3))),X3))) )
| ~ spl0_52
| ~ spl0_72 ),
inference(resolution,[],[f707,f362]) ).
fof(f21226,plain,
( spl0_321
| ~ spl0_51
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f714,f706,f357,f21224]) ).
fof(f21224,plain,
( spl0_321
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(or(not(X1),X3),or(not(X1),X3))),X3)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f714,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(or(not(X1),X3),or(not(X1),X3))),X3)))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_72 ),
inference(resolution,[],[f707,f358]) ).
fof(f21222,plain,
( spl0_320
| ~ spl0_55
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f653,f623,f442,f21220]) ).
fof(f21220,plain,
( spl0_320
<=> ! [X2,X4,X0,X3,X1] :
( theorem(or(or(not(or(X0,or(or(X1,X2),X3))),or(X0,X3)),or(X1,X4)))
| ~ theorem(or(not(X2),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f653,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(or(not(or(X0,or(or(X1,X2),X3))),or(X0,X3)),or(X1,X4)))
| ~ theorem(or(not(X2),X4)) )
| ~ spl0_55
| ~ spl0_68 ),
inference(resolution,[],[f624,f443]) ).
fof(f21218,plain,
( spl0_319
| ~ spl0_60
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f617,f590,f482,f21216]) ).
fof(f21216,plain,
( spl0_319
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(or(not(or(or(X0,or(X1,X2)),X3)),X4),or(X1,or(X0,X2))))
| ~ theorem(or(not(X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f617,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(or(not(or(or(X0,or(X1,X2)),X3)),X4),or(X1,or(X0,X2))))
| ~ theorem(or(not(X3),X4)) )
| ~ spl0_60
| ~ spl0_67 ),
inference(resolution,[],[f591,f483]) ).
fof(f21214,plain,
( spl0_318
| ~ spl0_48
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f505,f478,f314,f21212]) ).
fof(f505,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(not(or(X1,not(X2))),X1)),X2))
| theorem(or(X0,or(not(or(X1,not(X2))),X1))) )
| ~ spl0_48
| ~ spl0_59 ),
inference(resolution,[],[f479,f315]) ).
fof(f21059,plain,
( spl0_317
| ~ spl0_82
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4408,f3774,f839,f21057]) ).
fof(f21057,plain,
( spl0_317
<=> ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f4408,plain,
( ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1)))
| ~ spl0_82
| ~ spl0_182 ),
inference(resolution,[],[f3775,f840]) ).
fof(f20416,plain,
( spl0_316
| ~ spl0_53
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f991,f927,f365,f20414]) ).
fof(f20414,plain,
( spl0_316
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f365,plain,
( spl0_53
<=> ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f927,plain,
( spl0_90
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f991,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X0)) )
| ~ spl0_53
| ~ spl0_90 ),
inference(resolution,[],[f928,f366]) ).
fof(f366,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f928,plain,
( ! [X0,X1] :
( ~ theorem(not(not(or(X0,X0))))
| theorem(or(X0,X1)) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f20412,plain,
( spl0_315
| ~ spl0_50
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f732,f710,f322,f20410]) ).
fof(f732,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(or(X2,X1))
| theorem(or(X2,not(or(not(X1),X0)))) )
| ~ spl0_50
| ~ spl0_73 ),
inference(resolution,[],[f711,f323]) ).
fof(f20408,plain,
( spl0_314
| ~ spl0_52
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f702,f666,f361,f20406]) ).
fof(f20406,plain,
( spl0_314
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,X3))
| ~ theorem(not(or(not(or(not(X2),X4)),or(X1,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f702,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,X3))
| ~ theorem(not(or(not(or(not(X2),X4)),or(X1,X4)))) )
| ~ spl0_52
| ~ spl0_71 ),
inference(resolution,[],[f667,f362]) ).
fof(f20404,plain,
( spl0_313
| ~ spl0_51
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f694,f666,f357,f20402]) ).
fof(f694,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(not(or(not(X2),X4)),or(X1,X4))))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_71 ),
inference(resolution,[],[f667,f358]) ).
fof(f20400,plain,
( spl0_312
| ~ spl0_52
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f690,f662,f361,f20398]) ).
fof(f20398,plain,
( spl0_312
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(not(or(X3,or(not(X1),X4))),or(X3,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f690,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(not(or(X3,or(not(X1),X4))),or(X3,X4)))) )
| ~ spl0_52
| ~ spl0_70 ),
inference(resolution,[],[f663,f362]) ).
fof(f20396,plain,
( spl0_311
| ~ spl0_51
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f682,f662,f357,f20394]) ).
fof(f20394,plain,
( spl0_311
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,or(not(X1),X4))),or(X3,X4))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f682,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,or(not(X1),X4))),or(X3,X4))))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_70 ),
inference(resolution,[],[f663,f358]) ).
fof(f20392,plain,
( spl0_310
| ~ spl0_52
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f678,f658,f361,f20390]) ).
fof(f20390,plain,
( spl0_310
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,X3))
| ~ theorem(not(or(not(or(X4,X1)),or(X4,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f678,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,X3))
| ~ theorem(not(or(not(or(X4,X1)),or(X4,X2)))) )
| ~ spl0_52
| ~ spl0_69 ),
inference(resolution,[],[f659,f362]) ).
fof(f20388,plain,
( spl0_309
| ~ spl0_51
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f670,f658,f357,f20386]) ).
fof(f670,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(X3,or(not(or(X4,X1)),or(X4,X2))))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_69 ),
inference(resolution,[],[f659,f358]) ).
fof(f20384,plain,
( spl0_308
| ~ spl0_32
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f572,f526,f217,f20382]) ).
fof(f20382,plain,
( spl0_308
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(not(X1),X3)),X4))))
| ~ theorem(or(not(X3),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f572,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(not(X1),X3)),X4))))
| ~ theorem(or(not(X3),X4)) )
| ~ spl0_32
| ~ spl0_63 ),
inference(resolution,[],[f527,f218]) ).
fof(f20380,plain,
( spl0_307
| ~ spl0_30
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f570,f526,f188,f20378]) ).
fof(f20378,plain,
( spl0_307
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(or(not(X1),X3),or(not(X1),X3))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f570,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(or(not(X1),X3),or(not(X1),X3))),X3)))) )
| ~ spl0_30
| ~ spl0_63 ),
inference(resolution,[],[f527,f189]) ).
fof(f20376,plain,
( spl0_306
| ~ spl0_59
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f569,f526,f478,f20374]) ).
fof(f20374,plain,
( spl0_306
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,not(X4))),X3))))
| ~ theorem(or(not(X1),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f569,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,not(X4))),X3))))
| ~ theorem(or(not(X1),X4)) )
| ~ spl0_59
| ~ spl0_63 ),
inference(resolution,[],[f527,f479]) ).
fof(f20371,plain,
( spl0_305
| ~ spl0_17
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f548,f522,f102,f20369]) ).
fof(f20369,plain,
( spl0_305
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(not(X0),or(X1,X2)),or(not(X0),or(X1,X2)))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f548,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(not(X0),or(X1,X2)),or(not(X0),or(X1,X2)))),X2))) )
| ~ spl0_17
| ~ spl0_62 ),
inference(resolution,[],[f523,f103]) ).
fof(f20367,plain,
( spl0_304
| ~ spl0_54
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f547,f522,f417,f20365]) ).
fof(f20365,plain,
( spl0_304
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),or(X1,X2)),or(not(X0),or(X1,X2)))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f547,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),or(X1,X2)),or(not(X0),or(X1,X2)))),or(X2,X1))) )
| ~ spl0_54
| ~ spl0_62 ),
inference(resolution,[],[f523,f418]) ).
fof(f19355,plain,
( spl0_303
| ~ spl0_6
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f728,f710,f41,f19353]) ).
fof(f19353,plain,
( spl0_303
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| theorem(or(not(or(not(X3),X0)),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f728,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| theorem(or(not(or(not(X3),X0)),X1))
| ~ theorem(X2) )
| ~ spl0_6
| ~ spl0_73 ),
inference(resolution,[],[f711,f42]) ).
fof(f19351,plain,
( spl0_302
| ~ spl0_6
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f716,f706,f41,f19349]) ).
fof(f19349,plain,
( spl0_302
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(or(not(X1),X2),or(not(X1),X2))),X2))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f716,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(or(not(X1),X2),or(not(X1),X2))),X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_72 ),
inference(resolution,[],[f707,f42]) ).
fof(f19347,plain,
( spl0_301
| ~ spl0_14
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f635,f623,f80,f19345]) ).
fof(f19345,plain,
( spl0_301
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f80,plain,
( spl0_14
<=> ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f635,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),X3)))
| ~ theorem(or(not(or(X2,X1)),X3)) )
| ~ spl0_14
| ~ spl0_68 ),
inference(resolution,[],[f624,f81]) ).
fof(f81,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f19343,plain,
( spl0_300
| ~ spl0_36
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f632,f623,f239,f19341]) ).
fof(f19341,plain,
( spl0_300
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f239,plain,
( spl0_36
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f632,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) )
| ~ spl0_36
| ~ spl0_68 ),
inference(resolution,[],[f624,f240]) ).
fof(f240,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2))))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f19339,plain,
( spl0_299
| ~ spl0_63
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f577,f535,f526,f19337]) ).
fof(f577,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| ~ theorem(or(X3,or(not(X2),X0)))
| theorem(or(X3,or(X4,X1))) )
| ~ spl0_63
| ~ spl0_65 ),
inference(resolution,[],[f536,f527]) ).
fof(f19335,plain,
( spl0_298
| ~ spl0_29
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f571,f526,f184,f19333]) ).
fof(f19333,plain,
( spl0_298
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,or(not(X1),X4))),or(X3,X4))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f571,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,or(not(X1),X4))),or(X3,X4))))) )
| ~ spl0_29
| ~ spl0_63 ),
inference(resolution,[],[f527,f185]) ).
fof(f19331,plain,
( spl0_297
| ~ spl0_57
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f565,f526,f450,f19329]) ).
fof(f19329,plain,
( spl0_297
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X3),not(X3))))))
| ~ theorem(or(not(X1),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f565,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X3),not(X3))))))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_57
| ~ spl0_63 ),
inference(resolution,[],[f527,f451]) ).
fof(f19277,plain,
( spl0_296
| ~ spl0_62
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f561,f526,f522,f19275]) ).
fof(f561,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(or(not(X1),X2),or(not(X1),X2))))
| theorem(or(X0,or(X3,X2)))
| ~ theorem(X1) )
| ~ spl0_62
| ~ spl0_63 ),
inference(resolution,[],[f527,f523]) ).
fof(f19273,plain,
( spl0_295
| ~ spl0_14
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f559,f526,f80,f19271]) ).
fof(f19271,plain,
( spl0_295
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(not(or(X4,X1)),or(X4,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f559,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(not(or(X4,X1)),or(X4,X2))))) )
| ~ spl0_14
| ~ spl0_63 ),
inference(resolution,[],[f527,f81]) ).
fof(f19269,plain,
( spl0_294
| ~ spl0_36
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f558,f526,f239,f19267]) ).
fof(f19267,plain,
( spl0_294
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(not(or(not(X2),X4)),or(X1,X4))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f558,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(not(or(not(X2),X4)),or(X1,X4))))) )
| ~ spl0_36
| ~ spl0_63 ),
inference(resolution,[],[f527,f240]) ).
fof(f19265,plain,
( spl0_293
| ~ spl0_48
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f471,f450,f314,f19263]) ).
fof(f471,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,not(or(not(X1),not(X1)))),X1))
| theorem(or(X0,not(or(not(X1),not(X1))))) )
| ~ spl0_48
| ~ spl0_57 ),
inference(resolution,[],[f451,f315]) ).
fof(f13182,plain,
( spl0_42
| ~ spl0_45
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f11307,f5236,f296,f275]) ).
fof(f275,plain,
( spl0_42
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f5236,plain,
( spl0_241
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f11307,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_45
| ~ spl0_241 ),
inference(resolution,[],[f5237,f297]) ).
fof(f5237,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f5236]) ).
fof(f12340,plain,
( spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f12305]) ).
fof(f12305,plain,
( $false
| spl0_1
| ~ spl0_41 ),
inference(resolution,[],[f273,f20]) ).
fof(f273,plain,
( ! [X1] : theorem(X1)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl0_41
<=> ! [X1] : theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f12339,plain,
( ~ spl0_41
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f12306]) ).
fof(f12306,plain,
( $false
| ~ spl0_41
| spl0_103 ),
inference(resolution,[],[f273,f1400]) ).
fof(f1400,plain,
( ~ theorem(or(not(or(not(p),q)),not(or(p,q))))
| spl0_103 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1398,plain,
( spl0_103
<=> theorem(or(not(or(not(p),q)),not(or(p,q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f12338,plain,
( ~ spl0_41
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f12307]) ).
fof(f12307,plain,
( $false
| ~ spl0_41
| spl0_64 ),
inference(resolution,[],[f273,f532]) ).
fof(f532,plain,
( ~ theorem(or(not(or(p,q)),p))
| spl0_64 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl0_64
<=> theorem(or(not(or(p,q)),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f12337,plain,
( spl0_18
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f12308]) ).
fof(f12308,plain,
( $false
| spl0_18
| ~ spl0_41 ),
inference(resolution,[],[f273,f114]) ).
fof(f12336,plain,
( spl0_38
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f12309]) ).
fof(f12309,plain,
( $false
| spl0_38
| ~ spl0_41 ),
inference(resolution,[],[f273,f255]) ).
fof(f12335,plain,
( ~ spl0_41
| spl0_120 ),
inference(avatar_contradiction_clause,[],[f12310]) ).
fof(f12310,plain,
( $false
| ~ spl0_41
| spl0_120 ),
inference(resolution,[],[f273,f1921]) ).
fof(f1921,plain,
( ~ theorem(or(not(q),p))
| spl0_120 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f1919,plain,
( spl0_120
<=> theorem(or(not(q),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f12334,plain,
( ~ spl0_41
| spl0_122 ),
inference(avatar_contradiction_clause,[],[f12311]) ).
fof(f12311,plain,
( $false
| ~ spl0_41
| spl0_122 ),
inference(resolution,[],[f273,f2062]) ).
fof(f2062,plain,
( ~ theorem(or(q,p))
| spl0_122 ),
inference(avatar_component_clause,[],[f2060]) ).
fof(f2060,plain,
( spl0_122
<=> theorem(or(q,p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f12333,plain,
( ~ spl0_41
| spl0_99 ),
inference(avatar_contradiction_clause,[],[f12312]) ).
fof(f12312,plain,
( $false
| ~ spl0_41
| spl0_99 ),
inference(resolution,[],[f273,f1043]) ).
fof(f1043,plain,
( ~ theorem(or(q,not(or(p,q))))
| spl0_99 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1041,plain,
( spl0_99
<=> theorem(or(q,not(or(p,q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f12332,plain,
( ~ spl0_41
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f12313]) ).
fof(f12313,plain,
( $false
| ~ spl0_41
| ~ spl0_91 ),
inference(resolution,[],[f273,f932]) ).
fof(f932,plain,
( ! [X2] : ~ theorem(not(or(not(X2),X2)))
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f931,plain,
( spl0_91
<=> ! [X2] : ~ theorem(not(or(not(X2),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f12331,plain,
( ~ spl0_41
| spl0_165 ),
inference(avatar_contradiction_clause,[],[f12316]) ).
fof(f12316,plain,
( $false
| ~ spl0_41
| spl0_165 ),
inference(resolution,[],[f273,f2935]) ).
fof(f2935,plain,
( ~ theorem(not(or(q,not(p))))
| spl0_165 ),
inference(avatar_component_clause,[],[f2933]) ).
fof(f2933,plain,
( spl0_165
<=> theorem(not(or(q,not(p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f12330,plain,
( ~ spl0_41
| ~ spl0_216 ),
inference(avatar_contradiction_clause,[],[f12317]) ).
fof(f12317,plain,
( $false
| ~ spl0_41
| ~ spl0_216 ),
inference(resolution,[],[f273,f4518]) ).
fof(f4518,plain,
( ! [X0] : ~ theorem(not(or(X0,not(X0))))
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f4517]) ).
fof(f4517,plain,
( spl0_216
<=> ! [X0] : ~ theorem(not(or(X0,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f12329,plain,
( ~ spl0_41
| spl0_157 ),
inference(avatar_contradiction_clause,[],[f12318]) ).
fof(f12318,plain,
( $false
| ~ spl0_41
| spl0_157 ),
inference(resolution,[],[f273,f2620]) ).
fof(f2620,plain,
( ~ theorem(not(or(q,p)))
| spl0_157 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2618,plain,
( spl0_157
<=> theorem(not(or(q,p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f12328,plain,
( spl0_35
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f12319]) ).
fof(f12319,plain,
( $false
| spl0_35
| ~ spl0_41 ),
inference(resolution,[],[f273,f236]) ).
fof(f236,plain,
( ~ theorem(not(or(p,q)))
| spl0_35 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_35
<=> theorem(not(or(p,q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f12327,plain,
( spl0_37
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f12320]) ).
fof(f12320,plain,
( $false
| spl0_37
| ~ spl0_41 ),
inference(resolution,[],[f273,f250]) ).
fof(f250,plain,
( ~ theorem(not(or(not(p),q)))
| spl0_37 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_37
<=> theorem(not(or(not(p),q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f12326,plain,
( ~ spl0_41
| spl0_139 ),
inference(avatar_contradiction_clause,[],[f12321]) ).
fof(f12321,plain,
( $false
| ~ spl0_41
| spl0_139 ),
inference(resolution,[],[f273,f2504]) ).
fof(f2504,plain,
( ~ theorem(not(q))
| spl0_139 ),
inference(avatar_component_clause,[],[f2502]) ).
fof(f2502,plain,
( spl0_139
<=> theorem(not(q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f12325,plain,
( ~ spl0_41
| spl0_74 ),
inference(avatar_contradiction_clause,[],[f12322]) ).
fof(f12322,plain,
( $false
| ~ spl0_41
| spl0_74 ),
inference(resolution,[],[f273,f741]) ).
fof(f741,plain,
( ~ theorem(p)
| spl0_74 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f739,plain,
( spl0_74
<=> theorem(p) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f12324,plain,
( spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f12323]) ).
fof(f12323,plain,
( $false
| spl0_24
| ~ spl0_41 ),
inference(resolution,[],[f273,f152]) ).
fof(f152,plain,
( ~ theorem(q)
| spl0_24 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl0_24
<=> theorem(q) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f12304,plain,
( spl0_292
| ~ spl0_182
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f11747,f6016,f3774,f12302]) ).
fof(f12302,plain,
( spl0_292
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(not(not(not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f6016,plain,
( spl0_256
<=> ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f11747,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(not(not(not(X0)))) )
| ~ spl0_182
| ~ spl0_256 ),
inference(resolution,[],[f6017,f3775]) ).
fof(f6017,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f6016]) ).
fof(f7871,plain,
( ~ spl0_7
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7748]) ).
fof(f7748,plain,
( $false
| ~ spl0_7
| ~ spl0_288 ),
inference(resolution,[],[f7735,f47]) ).
fof(f7735,plain,
( ! [X1] : ~ theorem(X1)
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f7734]) ).
fof(f7870,plain,
( ~ spl0_75
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7749]) ).
fof(f7749,plain,
( $false
| ~ spl0_75
| ~ spl0_288 ),
inference(resolution,[],[f7735,f745]) ).
fof(f7869,plain,
( ~ spl0_39
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7750]) ).
fof(f7750,plain,
( $false
| ~ spl0_39
| ~ spl0_288 ),
inference(resolution,[],[f7735,f261]) ).
fof(f7868,plain,
( ~ spl0_10
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7751]) ).
fof(f7751,plain,
( $false
| ~ spl0_10
| ~ spl0_288 ),
inference(resolution,[],[f7735,f61]) ).
fof(f7867,plain,
( ~ spl0_124
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7752]) ).
fof(f7752,plain,
( $false
| ~ spl0_124
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2070]) ).
fof(f7866,plain,
( ~ spl0_104
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7753]) ).
fof(f7753,plain,
( $false
| ~ spl0_104
| ~ spl0_288 ),
inference(resolution,[],[f7735,f1707]) ).
fof(f7865,plain,
( ~ spl0_177
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7754]) ).
fof(f7754,plain,
( $false
| ~ spl0_177
| ~ spl0_288 ),
inference(resolution,[],[f7735,f3267]) ).
fof(f7864,plain,
( ~ spl0_11
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7755]) ).
fof(f7755,plain,
( $false
| ~ spl0_11
| ~ spl0_288 ),
inference(resolution,[],[f7735,f67]) ).
fof(f7863,plain,
( ~ spl0_12
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7756]) ).
fof(f7756,plain,
( $false
| ~ spl0_12
| ~ spl0_288 ),
inference(resolution,[],[f7735,f72]) ).
fof(f7862,plain,
( ~ spl0_129
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7757]) ).
fof(f7757,plain,
( $false
| ~ spl0_129
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2090]) ).
fof(f7861,plain,
( ~ spl0_168
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7758]) ).
fof(f7758,plain,
( $false
| ~ spl0_168
| ~ spl0_288 ),
inference(resolution,[],[f7735,f3212]) ).
fof(f7860,plain,
( ~ spl0_36
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7759]) ).
fof(f7759,plain,
( $false
| ~ spl0_36
| ~ spl0_288 ),
inference(resolution,[],[f7735,f240]) ).
fof(f7859,plain,
( ~ spl0_178
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7760]) ).
fof(f7760,plain,
( $false
| ~ spl0_178
| ~ spl0_288 ),
inference(resolution,[],[f7735,f3271]) ).
fof(f7858,plain,
( ~ spl0_169
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7761]) ).
fof(f7761,plain,
( $false
| ~ spl0_169
| ~ spl0_288 ),
inference(resolution,[],[f7735,f3216]) ).
fof(f7857,plain,
( ~ spl0_14
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7762]) ).
fof(f7762,plain,
( $false
| ~ spl0_14
| ~ spl0_288 ),
inference(resolution,[],[f7735,f81]) ).
fof(f7856,plain,
( ~ spl0_97
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7763]) ).
fof(f7763,plain,
( $false
| ~ spl0_97
| ~ spl0_288 ),
inference(resolution,[],[f7735,f1034]) ).
fof(f7855,plain,
( ~ spl0_130
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7764]) ).
fof(f7764,plain,
( $false
| ~ spl0_130
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2094]) ).
fof(f7854,plain,
( ~ spl0_269
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7765]) ).
fof(f7765,plain,
( $false
| ~ spl0_269
| ~ spl0_288 ),
inference(resolution,[],[f7735,f6723]) ).
fof(f6723,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),or(X1,or(X0,X2))))
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f6722]) ).
fof(f6722,plain,
( spl0_269
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f7853,plain,
( ~ spl0_136
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7766]) ).
fof(f7766,plain,
( $false
| ~ spl0_136
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2120]) ).
fof(f7852,plain,
( ~ spl0_23
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7767]) ).
fof(f7767,plain,
( $false
| ~ spl0_23
| ~ spl0_288 ),
inference(resolution,[],[f7735,f144]) ).
fof(f7851,plain,
( ~ spl0_26
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7768]) ).
fof(f7768,plain,
( $false
| ~ spl0_26
| ~ spl0_288 ),
inference(resolution,[],[f7735,f164]) ).
fof(f7850,plain,
( ~ spl0_30
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7769]) ).
fof(f7769,plain,
( $false
| ~ spl0_30
| ~ spl0_288 ),
inference(resolution,[],[f7735,f189]) ).
fof(f7849,plain,
( ~ spl0_81
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7770]) ).
fof(f7770,plain,
( $false
| ~ spl0_81
| ~ spl0_288 ),
inference(resolution,[],[f7735,f836]) ).
fof(f7848,plain,
( ~ spl0_85
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7771]) ).
fof(f7771,plain,
( $false
| ~ spl0_85
| ~ spl0_288 ),
inference(resolution,[],[f7735,f908]) ).
fof(f7847,plain,
( ~ spl0_29
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7772]) ).
fof(f7772,plain,
( $false
| ~ spl0_29
| ~ spl0_288 ),
inference(resolution,[],[f7735,f185]) ).
fof(f7846,plain,
( ~ spl0_105
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7773]) ).
fof(f7773,plain,
( $false
| ~ spl0_105
| ~ spl0_288 ),
inference(resolution,[],[f7735,f1711]) ).
fof(f7845,plain,
( ~ spl0_137
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7774]) ).
fof(f7774,plain,
( $false
| ~ spl0_137
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2124]) ).
fof(f7844,plain,
( ~ spl0_138
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7775]) ).
fof(f7775,plain,
( $false
| ~ spl0_138
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2128]) ).
fof(f7843,plain,
( ~ spl0_270
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7776]) ).
fof(f7776,plain,
( $false
| ~ spl0_270
| ~ spl0_288 ),
inference(resolution,[],[f7735,f6727]) ).
fof(f6727,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),X2))))
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f6726]) ).
fof(f6726,plain,
( spl0_270
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f7842,plain,
( ~ spl0_76
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7777]) ).
fof(f7777,plain,
( $false
| ~ spl0_76
| ~ spl0_288 ),
inference(resolution,[],[f7735,f749]) ).
fof(f7841,plain,
( ~ spl0_84
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7778]) ).
fof(f7778,plain,
( $false
| ~ spl0_84
| ~ spl0_288 ),
inference(resolution,[],[f7735,f848]) ).
fof(f7840,plain,
( ~ spl0_131
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7779]) ).
fof(f7779,plain,
( $false
| ~ spl0_131
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2098]) ).
fof(f7839,plain,
( ~ spl0_106
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7780]) ).
fof(f7780,plain,
( $false
| ~ spl0_106
| ~ spl0_288 ),
inference(resolution,[],[f7735,f1727]) ).
fof(f7838,plain,
( ~ spl0_82
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7781]) ).
fof(f7781,plain,
( $false
| ~ spl0_82
| ~ spl0_288 ),
inference(resolution,[],[f7735,f840]) ).
fof(f7837,plain,
( ~ spl0_121
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7782]) ).
fof(f7782,plain,
( $false
| ~ spl0_121
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2057]) ).
fof(f7836,plain,
( ~ spl0_203
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7783]) ).
fof(f7783,plain,
( $false
| ~ spl0_203
| ~ spl0_288 ),
inference(resolution,[],[f7735,f4352]) ).
fof(f4352,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(or(X0,X2),X3))),or(X1,X3)),X2)))
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f4351]) ).
fof(f4351,plain,
( spl0_203
<=> ! [X0,X3,X2,X1] : theorem(or(X0,or(or(not(or(X1,or(or(X0,X2),X3))),or(X1,X3)),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f7835,plain,
( ~ spl0_260
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7784]) ).
fof(f7784,plain,
( $false
| ~ spl0_260
| ~ spl0_288 ),
inference(resolution,[],[f7735,f6687]) ).
fof(f6687,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),X1)))
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f6686]) ).
fof(f6686,plain,
( spl0_260
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f7834,plain,
( ~ spl0_132
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7785]) ).
fof(f7785,plain,
( $false
| ~ spl0_132
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2102]) ).
fof(f7833,plain,
( ~ spl0_22
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7786]) ).
fof(f7786,plain,
( $false
| ~ spl0_22
| ~ spl0_288 ),
inference(resolution,[],[f7735,f140]) ).
fof(f7832,plain,
( ~ spl0_40
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7787]) ).
fof(f7787,plain,
( $false
| ~ spl0_40
| ~ spl0_288 ),
inference(resolution,[],[f7735,f269]) ).
fof(f7831,plain,
( ~ spl0_56
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7788]) ).
fof(f7788,plain,
( $false
| ~ spl0_56
| ~ spl0_288 ),
inference(resolution,[],[f7735,f447]) ).
fof(f7830,plain,
( ~ spl0_204
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7789]) ).
fof(f7789,plain,
( $false
| ~ spl0_204
| ~ spl0_288 ),
inference(resolution,[],[f7735,f4356]) ).
fof(f7829,plain,
( ~ spl0_230
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7790]) ).
fof(f7790,plain,
( $false
| ~ spl0_230
| ~ spl0_288 ),
inference(resolution,[],[f7735,f5193]) ).
fof(f5193,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X1),X0))
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f5192]) ).
fof(f5192,plain,
( spl0_230
<=> ! [X0,X1] : theorem(or(or(not(X0),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f7828,plain,
( ~ spl0_43
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7791]) ).
fof(f7791,plain,
( $false
| ~ spl0_43
| ~ spl0_288 ),
inference(resolution,[],[f7735,f280]) ).
fof(f280,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl0_43
<=> ! [X0,X1] : theorem(or(or(not(X0),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f7827,plain,
( ~ spl0_46
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7792]) ).
fof(f7792,plain,
( $false
| ~ spl0_46
| ~ spl0_288 ),
inference(resolution,[],[f7735,f301]) ).
fof(f7826,plain,
( ~ spl0_98
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7793]) ).
fof(f7793,plain,
( $false
| ~ spl0_98
| ~ spl0_288 ),
inference(resolution,[],[f7735,f1038]) ).
fof(f7825,plain,
( ~ spl0_55
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7794]) ).
fof(f7794,plain,
( $false
| ~ spl0_55
| ~ spl0_288 ),
inference(resolution,[],[f7735,f443]) ).
fof(f7824,plain,
( ~ spl0_170
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7795]) ).
fof(f7795,plain,
( $false
| ~ spl0_170
| ~ spl0_288 ),
inference(resolution,[],[f7735,f3220]) ).
fof(f7823,plain,
( ~ spl0_112
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7796]) ).
fof(f7796,plain,
( $false
| ~ spl0_112
| ~ spl0_288 ),
inference(resolution,[],[f7735,f1824]) ).
fof(f7822,plain,
( ~ spl0_197
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7797]) ).
fof(f7797,plain,
( $false
| ~ spl0_197
| ~ spl0_288 ),
inference(resolution,[],[f7735,f4328]) ).
fof(f4328,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f4327]) ).
fof(f4327,plain,
( spl0_197
<=> ! [X0,X1] : theorem(or(or(X0,not(X1)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f7821,plain,
( ~ spl0_133
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7798]) ).
fof(f7798,plain,
( $false
| ~ spl0_133
| ~ spl0_288 ),
inference(resolution,[],[f7735,f2108]) ).
fof(f7820,plain,
( ~ spl0_215
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7799]) ).
fof(f7799,plain,
( $false
| ~ spl0_215
| ~ spl0_288 ),
inference(resolution,[],[f7735,f4450]) ).
fof(f4450,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(X1,or(X2,X3)))),X0),or(X2,or(X1,X3))))
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f4449]) ).
fof(f4449,plain,
( spl0_215
<=> ! [X0,X3,X2,X1] : theorem(or(or(not(or(X0,or(X1,or(X2,X3)))),X0),or(X2,or(X1,X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f7819,plain,
( ~ spl0_202
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7800]) ).
fof(f7800,plain,
( $false
| ~ spl0_202
| ~ spl0_288 ),
inference(resolution,[],[f7735,f4348]) ).
fof(f7818,plain,
( ~ spl0_288
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[],[f7801]) ).
fof(f7801,plain,
( $false
| ~ spl0_288
| ~ spl0_290 ),
inference(resolution,[],[f7735,f7742]) ).
fof(f7742,plain,
( ! [X2,X3,X0,X1,X4] : theorem(or(or(not(or(X0,or(or(X1,or(X2,X3)),X4))),or(X0,X4)),or(X2,or(X1,X3))))
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f7741]) ).
fof(f7741,plain,
( spl0_290
<=> ! [X4,X0,X3,X2,X1] : theorem(or(or(not(or(X0,or(or(X1,or(X2,X3)),X4))),or(X0,X4)),or(X2,or(X1,X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f7817,plain,
( ~ spl0_259
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7802]) ).
fof(f7802,plain,
( $false
| ~ spl0_259
| ~ spl0_288 ),
inference(resolution,[],[f7735,f6683]) ).
fof(f6683,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X1,X0)))
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f6682]) ).
fof(f6682,plain,
( spl0_259
<=> ! [X2,X0,X1] : theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f7816,plain,
( ~ spl0_288
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f7803]) ).
fof(f7803,plain,
( $false
| ~ spl0_288
| ~ spl0_291 ),
inference(resolution,[],[f7735,f7746]) ).
fof(f7746,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(or(or(X0,or(X1,X2)),X3),or(or(X0,or(X1,X2)),X3))),X3),or(X1,or(X0,X2))))
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f7745]) ).
fof(f7745,plain,
( spl0_291
<=> ! [X0,X3,X2,X1] : theorem(or(or(not(or(or(or(X0,or(X1,X2)),X3),or(or(X0,or(X1,X2)),X3))),X3),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f7815,plain,
( ~ spl0_21
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7804]) ).
fof(f7804,plain,
( $false
| ~ spl0_21
| ~ spl0_288 ),
inference(resolution,[],[f7735,f136]) ).
fof(f7814,plain,
( ~ spl0_25
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7805]) ).
fof(f7805,plain,
( $false
| ~ spl0_25
| ~ spl0_288 ),
inference(resolution,[],[f7735,f160]) ).
fof(f7813,plain,
( ~ spl0_96
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7806]) ).
fof(f7806,plain,
( $false
| ~ spl0_96
| ~ spl0_288 ),
inference(resolution,[],[f7735,f951]) ).
fof(f951,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl0_96
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f7812,plain,
( ~ spl0_28
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7807]) ).
fof(f7807,plain,
( $false
| ~ spl0_28
| ~ spl0_288 ),
inference(resolution,[],[f7735,f181]) ).
fof(f7811,plain,
( ~ spl0_34
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7808]) ).
fof(f7808,plain,
( $false
| ~ spl0_34
| ~ spl0_288 ),
inference(resolution,[],[f7735,f231]) ).
fof(f231,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2))))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl0_34
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f7810,plain,
( ~ spl0_66
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f7809]) ).
fof(f7809,plain,
( $false
| ~ spl0_66
| ~ spl0_288 ),
inference(resolution,[],[f7735,f540]) ).
fof(f7747,plain,
( spl0_291
| ~ spl0_56
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f616,f590,f446,f7745]) ).
fof(f616,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(or(or(X0,or(X1,X2)),X3),or(or(X0,or(X1,X2)),X3))),X3),or(X1,or(X0,X2))))
| ~ spl0_56
| ~ spl0_67 ),
inference(resolution,[],[f591,f447]) ).
fof(f7743,plain,
( spl0_290
| ~ spl0_55
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f620,f590,f442,f7741]) ).
fof(f620,plain,
( ! [X2,X3,X0,X1,X4] : theorem(or(or(not(or(X0,or(or(X1,or(X2,X3)),X4))),or(X0,X4)),or(X2,or(X1,X3))))
| ~ spl0_55
| ~ spl0_67 ),
inference(resolution,[],[f591,f443]) ).
fof(f7739,plain,
( spl0_288
| spl0_289
| ~ spl0_93
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3016,f2627,f938,f7737,f7734]) ).
fof(f7737,plain,
( spl0_289
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f3016,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(not(not(X0))) )
| ~ spl0_93
| ~ spl0_159 ),
inference(resolution,[],[f2628,f939]) ).
fof(f6962,plain,
( spl0_287
| ~ spl0_48
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f992,f938,f314,f6960]) ).
fof(f6960,plain,
( spl0_287
<=> ! [X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f992,plain,
( ! [X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,X0)) )
| ~ spl0_48
| ~ spl0_93 ),
inference(resolution,[],[f939,f315]) ).
fof(f6792,plain,
( spl0_286
| ~ spl0_16
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f736,f710,f92,f6790]) ).
fof(f6790,plain,
( spl0_286
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3))
| theorem(or(or(not(or(not(X3),X0)),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f736,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3))
| theorem(or(or(not(or(not(X3),X0)),X1),X2)) )
| ~ spl0_16
| ~ spl0_73 ),
inference(resolution,[],[f711,f93]) ).
fof(f6788,plain,
( spl0_285
| ~ spl0_54
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f730,f710,f417,f6786]) ).
fof(f6786,plain,
( spl0_285
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3))
| theorem(or(X2,or(X1,not(or(not(X3),X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f730,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(X2,X3))
| theorem(or(X2,or(X1,not(or(not(X3),X0))))) )
| ~ spl0_54
| ~ spl0_73 ),
inference(resolution,[],[f711,f418]) ).
fof(f6784,plain,
( spl0_284
| ~ spl0_16
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f723,f706,f92,f6782]) ).
fof(f6782,plain,
( spl0_284
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(or(not(X1),X2),or(not(X1),X2))),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f723,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(or(not(X1),X2),or(not(X1),X2))),X2),X0)) )
| ~ spl0_16
| ~ spl0_72 ),
inference(resolution,[],[f707,f93]) ).
fof(f6780,plain,
( spl0_283
| ~ spl0_17
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f719,f706,f102,f6778]) ).
fof(f6778,plain,
( spl0_283
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(or(not(X1),X2),or(not(X1),X2))),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f719,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(or(not(X1),X2),or(not(X1),X2))),or(X0,X2))) )
| ~ spl0_17
| ~ spl0_72 ),
inference(resolution,[],[f707,f103]) ).
fof(f6776,plain,
( spl0_282
| ~ spl0_54
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f718,f706,f417,f6774]) ).
fof(f6774,plain,
( spl0_282
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(or(not(X1),X2),or(not(X1),X2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f718,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(or(not(X1),X2),or(not(X1),X2)))))) )
| ~ spl0_54
| ~ spl0_72 ),
inference(resolution,[],[f707,f418]) ).
fof(f6772,plain,
( spl0_281
| ~ spl0_6
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f696,f666,f41,f6770]) ).
fof(f696,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(not(or(not(X2),X3)),or(X1,X3)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_71 ),
inference(resolution,[],[f667,f42]) ).
fof(f6768,plain,
( spl0_280
| ~ spl0_6
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f684,f662,f41,f6766]) ).
fof(f684,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,or(not(X1),X3))),or(X2,X3)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_70 ),
inference(resolution,[],[f663,f42]) ).
fof(f6764,plain,
( spl0_279
| ~ spl0_15
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f982,f923,f85,f6762]) ).
fof(f6762,plain,
( spl0_279
<=> ! [X0] :
( ~ theorem(not(X0))
| theorem(not(or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f982,plain,
( ! [X0] :
( ~ theorem(not(X0))
| theorem(not(or(X0,X0))) )
| ~ spl0_15
| ~ spl0_89 ),
inference(resolution,[],[f924,f86]) ).
fof(f6760,plain,
( spl0_278
| ~ spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f672,f658,f41,f6758]) ).
fof(f672,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X3,X2)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_69 ),
inference(resolution,[],[f659,f42]) ).
fof(f6756,plain,
( spl0_277
| ~ spl0_49
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f654,f623,f318,f6754]) ).
fof(f654,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(not(X4),X3))
| ~ theorem(or(or(X2,X4),X1)) )
| ~ spl0_49
| ~ spl0_68 ),
inference(resolution,[],[f624,f319]) ).
fof(f6752,plain,
( spl0_276
| ~ spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f644,f623,f217,f6750]) ).
fof(f644,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X0,X1)),X2)))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_32
| ~ spl0_68 ),
inference(resolution,[],[f624,f218]) ).
fof(f6748,plain,
( spl0_275
| ~ spl0_59
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f641,f623,f478,f6746]) ).
fof(f6746,plain,
( spl0_275
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X3)))
| ~ theorem(or(not(X1),X3))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f641,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X3)))
| ~ theorem(or(not(X1),X3))
| ~ theorem(or(X0,X2)) )
| ~ spl0_59
| ~ spl0_68 ),
inference(resolution,[],[f624,f479]) ).
fof(f6744,plain,
( spl0_274
| ~ spl0_61
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f636,f623,f486,f6742]) ).
fof(f6742,plain,
( spl0_274
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X3)))
| ~ theorem(or(not(X1),X3))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f636,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X3)))
| ~ theorem(or(not(X1),X3))
| ~ theorem(or(X2,X0)) )
| ~ spl0_61
| ~ spl0_68 ),
inference(resolution,[],[f624,f487]) ).
fof(f6740,plain,
( spl0_273
| ~ spl0_47
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f634,f623,f310,f6738]) ).
fof(f6738,plain,
( spl0_273
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X0,X3)))
| ~ theorem(or(not(X1),X3))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f634,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X0,X3)))
| ~ theorem(or(not(X1),X3))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_68 ),
inference(resolution,[],[f624,f311]) ).
fof(f6736,plain,
( spl0_272
| ~ spl0_58
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f631,f623,f474,f6734]) ).
fof(f6734,plain,
( spl0_272
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X3)))
| ~ theorem(or(not(X2),X3))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f631,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X3)))
| ~ theorem(or(not(X2),X3))
| ~ theorem(X1) )
| ~ spl0_58
| ~ spl0_68 ),
inference(resolution,[],[f624,f475]) ).
fof(f6732,plain,
( spl0_271
| ~ spl0_19
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f630,f623,f117,f6730]) ).
fof(f630,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_19
| ~ spl0_68 ),
inference(resolution,[],[f624,f118]) ).
fof(f6728,plain,
( spl0_270
| ~ spl0_30
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f610,f590,f188,f6726]) ).
fof(f610,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),X2))))
| ~ spl0_30
| ~ spl0_67 ),
inference(resolution,[],[f591,f189]) ).
fof(f6724,plain,
( spl0_269
| ~ spl0_10
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f600,f590,f60,f6722]) ).
fof(f600,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),or(X1,or(X0,X2))))
| ~ spl0_10
| ~ spl0_67 ),
inference(resolution,[],[f591,f61]) ).
fof(f6720,plain,
( spl0_268
| ~ spl0_45
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f975,f919,f296,f6718]) ).
fof(f6718,plain,
( spl0_268
<=> ! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f919,plain,
( spl0_88
<=> ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f975,plain,
( ! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(X0) )
| ~ spl0_45
| ~ spl0_88 ),
inference(resolution,[],[f920,f297]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X2,X0)))
| theorem(or(not(X0),X1)) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f6716,plain,
( spl0_267
| ~ spl0_17
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f585,f535,f102,f6714]) ).
fof(f6714,plain,
( spl0_267
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| ~ theorem(X3)
| theorem(or(X1,or(not(or(not(X3),X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f585,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| ~ theorem(X3)
| theorem(or(X1,or(not(or(not(X3),X0)),X2))) )
| ~ spl0_17
| ~ spl0_65 ),
inference(resolution,[],[f536,f103]) ).
fof(f6712,plain,
( spl0_266
| ~ spl0_54
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f584,f535,f417,f6710]) ).
fof(f6710,plain,
( spl0_266
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| ~ theorem(X3)
| theorem(or(not(or(not(X3),X0)),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f584,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X2)))
| ~ theorem(X3)
| theorem(or(not(or(not(X3),X0)),or(X2,X1))) )
| ~ spl0_54
| ~ spl0_65 ),
inference(resolution,[],[f536,f418]) ).
fof(f6708,plain,
( spl0_265
| ~ spl0_61
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f560,f526,f486,f6706]) ).
fof(f560,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(X4,X2))))
| ~ theorem(or(X4,X1)) )
| ~ spl0_61
| ~ spl0_63 ),
inference(resolution,[],[f527,f487]) ).
fof(f6704,plain,
( spl0_264
| ~ spl0_58
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f557,f526,f474,f6702]) ).
fof(f557,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,or(not(X2),X3))))
| theorem(or(X0,or(X4,or(X1,X3))))
| ~ theorem(X2) )
| ~ spl0_58
| ~ spl0_63 ),
inference(resolution,[],[f527,f475]) ).
fof(f6700,plain,
( spl0_263
| ~ spl0_19
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f556,f526,f117,f6698]) ).
fof(f556,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X1,X4))))
| ~ theorem(or(not(X2),X4)) )
| ~ spl0_19
| ~ spl0_63 ),
inference(resolution,[],[f527,f118]) ).
fof(f6696,plain,
( spl0_262
| ~ spl0_50
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f549,f522,f322,f6694]) ).
fof(f6694,plain,
( spl0_262
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),or(X1,X1)),or(not(X0),or(X1,X1)))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f549,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),or(X1,X1)),or(not(X0),or(X1,X1)))),X1)) )
| ~ spl0_50
| ~ spl0_62 ),
inference(resolution,[],[f523,f323]) ).
fof(f6692,plain,
( spl0_261
| ~ spl0_31
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f498,f478,f192,f6690]) ).
fof(f498,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_59 ),
inference(resolution,[],[f479,f193]) ).
fof(f6688,plain,
( spl0_260
| ~ spl0_17
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f463,f446,f102,f6686]) ).
fof(f463,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),X1)))
| ~ spl0_17
| ~ spl0_56 ),
inference(resolution,[],[f447,f103]) ).
fof(f6684,plain,
( spl0_259
| ~ spl0_54
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f462,f446,f417,f6682]) ).
fof(f462,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X1,X0)))
| ~ spl0_54
| ~ spl0_56 ),
inference(resolution,[],[f447,f418]) ).
fof(f6654,plain,
( spl0_258
| ~ spl0_16
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f832,f786,f92,f6652]) ).
fof(f6652,plain,
( spl0_258
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f832,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_16
| ~ spl0_80 ),
inference(resolution,[],[f787,f93]) ).
fof(f6334,plain,
( spl0_257
| ~ spl0_40
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f400,f361,f268,f6332]) ).
fof(f6332,plain,
( spl0_257
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f400,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(X0))) )
| ~ spl0_40
| ~ spl0_52 ),
inference(resolution,[],[f362,f269]) ).
fof(f6018,plain,
( spl0_256
| ~ spl0_40
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f380,f357,f268,f6016]) ).
fof(f380,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_51 ),
inference(resolution,[],[f358,f269]) ).
fof(f5314,plain,
( spl0_255
| ~ spl0_16
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f703,f666,f92,f5312]) ).
fof(f703,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(not(or(not(X2),X3)),or(X1,X3)),X0)) )
| ~ spl0_16
| ~ spl0_71 ),
inference(resolution,[],[f667,f93]) ).
fof(f5310,plain,
( spl0_254
| ~ spl0_17
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f700,f666,f102,f5308]) ).
fof(f5308,plain,
( spl0_254
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(not(or(not(X2),X3)),or(X0,or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f700,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(not(or(not(X2),X3)),or(X0,or(X1,X3)))) )
| ~ spl0_17
| ~ spl0_71 ),
inference(resolution,[],[f667,f103]) ).
fof(f5306,plain,
( spl0_253
| ~ spl0_54
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f699,f666,f417,f5304]) ).
fof(f5304,plain,
( spl0_253
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X1,X3),not(or(not(X2),X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f699,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X1,X3),not(or(not(X2),X3))))) )
| ~ spl0_54
| ~ spl0_71 ),
inference(resolution,[],[f667,f418]) ).
fof(f5302,plain,
( spl0_252
| ~ spl0_67
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f697,f666,f590,f5300]) ).
fof(f5300,plain,
( spl0_252
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X1,or(not(or(not(X2),X3)),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f697,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X1,or(not(or(not(X2),X3)),X3)))) )
| ~ spl0_67
| ~ spl0_71 ),
inference(resolution,[],[f667,f591]) ).
fof(f5278,plain,
( spl0_251
| ~ spl0_16
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f691,f662,f92,f5276]) ).
fof(f691,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,or(not(X1),X3))),or(X2,X3)),X0)) )
| ~ spl0_16
| ~ spl0_70 ),
inference(resolution,[],[f663,f93]) ).
fof(f5274,plain,
( spl0_250
| ~ spl0_17
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f688,f662,f102,f5272]) ).
fof(f5272,plain,
( spl0_250
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,or(not(X1),X3))),or(X0,or(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f688,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,or(not(X1),X3))),or(X0,or(X2,X3)))) )
| ~ spl0_17
| ~ spl0_70 ),
inference(resolution,[],[f663,f103]) ).
fof(f5270,plain,
( spl0_249
| ~ spl0_54
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f687,f662,f417,f5268]) ).
fof(f5268,plain,
( spl0_249
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X3),not(or(X2,or(not(X1),X3)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f687,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X3),not(or(X2,or(not(X1),X3)))))) )
| ~ spl0_54
| ~ spl0_70 ),
inference(resolution,[],[f663,f418]) ).
fof(f5266,plain,
( spl0_248
| ~ spl0_67
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f685,f662,f590,f5264]) ).
fof(f5264,plain,
( spl0_248
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X2,or(not(X1),X3))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f685,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X2,or(not(X1),X3))),X3)))) )
| ~ spl0_67
| ~ spl0_70 ),
inference(resolution,[],[f663,f591]) ).
fof(f5262,plain,
( spl0_247
| ~ spl0_16
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f679,f658,f92,f5260]) ).
fof(f679,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(or(not(or(X3,X1)),or(X3,X2)),X0)) )
| ~ spl0_16
| ~ spl0_69 ),
inference(resolution,[],[f659,f93]) ).
fof(f5258,plain,
( spl0_246
| ~ spl0_17
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f676,f658,f102,f5256]) ).
fof(f5256,plain,
( spl0_246
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X0,or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f676,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X0,or(X3,X2)))) )
| ~ spl0_17
| ~ spl0_69 ),
inference(resolution,[],[f659,f103]) ).
fof(f5254,plain,
( spl0_245
| ~ spl0_54
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f675,f658,f417,f5252]) ).
fof(f5252,plain,
( spl0_245
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(or(X3,X2),not(or(X3,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f675,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(or(X3,X2),not(or(X3,X1))))) )
| ~ spl0_54
| ~ spl0_69 ),
inference(resolution,[],[f659,f418]) ).
fof(f5250,plain,
( spl0_244
| ~ spl0_67
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f673,f658,f590,f5248]) ).
fof(f5248,plain,
( spl0_244
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(not(or(X3,X1)),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f673,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(not(or(X3,X1)),X2)))) )
| ~ spl0_67
| ~ spl0_69 ),
inference(resolution,[],[f659,f591]) ).
fof(f5246,plain,
( spl0_243
| ~ spl0_46
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f652,f623,f300,f5244]) ).
fof(f652,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_46
| ~ spl0_68 ),
inference(resolution,[],[f624,f301]) ).
fof(f5242,plain,
( spl0_242
| ~ spl0_29
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f643,f623,f184,f5240]) ).
fof(f5240,plain,
( spl0_242
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,X2))),X3)))
| ~ theorem(or(not(or(X1,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f643,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,X2))),X3)))
| ~ theorem(or(not(or(X1,X2)),X3)) )
| ~ spl0_29
| ~ spl0_68 ),
inference(resolution,[],[f624,f185]) ).
fof(f5238,plain,
( spl0_241
| ~ spl0_80
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4395,f3774,f786,f5236]) ).
fof(f4395,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) )
| ~ spl0_80
| ~ spl0_182 ),
inference(resolution,[],[f3775,f787]) ).
fof(f5234,plain,
( spl0_240
| ~ spl0_30
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f642,f623,f188,f5232]) ).
fof(f5232,plain,
( spl0_240
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f642,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_30
| ~ spl0_68 ),
inference(resolution,[],[f624,f189]) ).
fof(f5230,plain,
( spl0_239
| ~ spl0_10
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f633,f623,f60,f5228]) ).
fof(f633,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_10
| ~ spl0_68 ),
inference(resolution,[],[f624,f61]) ).
fof(f5226,plain,
( spl0_238
| ~ spl0_12
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f629,f623,f71,f5224]) ).
fof(f629,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) )
| ~ spl0_12
| ~ spl0_68 ),
inference(resolution,[],[f624,f72]) ).
fof(f5222,plain,
( spl0_237
| ~ spl0_49
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f621,f590,f318,f5220]) ).
fof(f621,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(or(X0,X1),or(X2,or(X3,X4))))
| ~ theorem(or(or(X3,or(X2,X4)),X1)) )
| ~ spl0_49
| ~ spl0_67 ),
inference(resolution,[],[f591,f319]) ).
fof(f5218,plain,
( spl0_236
| ~ spl0_32
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f611,f590,f217,f5216]) ).
fof(f5216,plain,
( spl0_236
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,X2)),X3))))
| ~ theorem(or(not(X2),or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f611,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,X2)),X3))))
| ~ theorem(or(not(X2),or(X1,X3))) )
| ~ spl0_32
| ~ spl0_67 ),
inference(resolution,[],[f591,f218]) ).
fof(f5214,plain,
( spl0_235
| ~ spl0_59
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f609,f590,f478,f5212]) ).
fof(f5212,plain,
( spl0_235
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(or(X1,X2),not(X3))),X2))))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f609,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(or(X1,X2),not(X3))),X2))))
| ~ theorem(or(X0,X3)) )
| ~ spl0_59
| ~ spl0_67 ),
inference(resolution,[],[f591,f479]) ).
fof(f5210,plain,
( spl0_234
| ~ spl0_61
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f603,f590,f486,f5208]) ).
fof(f5208,plain,
( spl0_234
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),or(X1,X2))),or(X1,or(X3,X2))))
| ~ theorem(or(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f603,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),or(X1,X2))),or(X1,or(X3,X2))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_61
| ~ spl0_67 ),
inference(resolution,[],[f591,f487]) ).
fof(f5206,plain,
( spl0_233
| ~ spl0_47
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f601,f590,f310,f5204]) ).
fof(f5204,plain,
( spl0_233
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(or(X0,or(X1,X2)),not(X3))),or(X1,or(X0,X2))))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f601,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(or(X0,or(X1,X2)),not(X3))),or(X1,or(X0,X2))))
| ~ theorem(X3) )
| ~ spl0_47
| ~ spl0_67 ),
inference(resolution,[],[f591,f311]) ).
fof(f5202,plain,
( spl0_232
| ~ spl0_58
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f598,f590,f474,f5200]) ).
fof(f5200,plain,
( spl0_232
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(not(X1),or(X2,X3)))),or(X2,or(X0,X3))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f598,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),or(X2,X3)))),or(X2,or(X0,X3))))
| ~ theorem(X1) )
| ~ spl0_58
| ~ spl0_67 ),
inference(resolution,[],[f591,f475]) ).
fof(f5198,plain,
( spl0_231
| ~ spl0_19
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f597,f590,f117,f5196]) ).
fof(f5196,plain,
( spl0_231
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X0,X3))))
| ~ theorem(or(not(X1),or(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f597,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X0,X3))))
| ~ theorem(or(not(X1),or(X2,X3))) )
| ~ spl0_19
| ~ spl0_67 ),
inference(resolution,[],[f591,f118]) ).
fof(f5194,plain,
( spl0_230
| ~ spl0_16
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f3248,f907,f92,f5192]) ).
fof(f3248,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X1),X0))
| ~ spl0_16
| ~ spl0_85 ),
inference(resolution,[],[f908,f93]) ).
fof(f5190,plain,
( spl0_229
| ~ spl0_52
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f587,f539,f361,f5188]) ).
fof(f587,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),X3))
| ~ theorem(not(not(or(X2,X0)))) )
| ~ spl0_52
| ~ spl0_66 ),
inference(resolution,[],[f540,f362]) ).
fof(f5186,plain,
( spl0_228
| ~ spl0_52
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f582,f535,f361,f5184]) ).
fof(f582,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_52
| ~ spl0_65 ),
inference(resolution,[],[f536,f362]) ).
fof(f5182,plain,
( spl0_227
| ~ spl0_31
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f579,f535,f192,f5180]) ).
fof(f579,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(X3,or(not(X2),X0))) )
| ~ spl0_31
| ~ spl0_65 ),
inference(resolution,[],[f536,f193]) ).
fof(f5178,plain,
( spl0_226
| ~ spl0_12
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f555,f526,f71,f5176]) ).
fof(f5176,plain,
( spl0_226
<=> ! [X4,X0,X3,X2,X1] :
( ~ theorem(or(X0,or(X1,or(X2,X3))))
| theorem(or(X0,or(X4,or(X2,or(X1,X3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f555,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,or(X1,or(X2,X3))))
| theorem(or(X0,or(X4,or(X2,or(X1,X3))))) )
| ~ spl0_12
| ~ spl0_63 ),
inference(resolution,[],[f527,f72]) ).
fof(f5174,plain,
( spl0_225
| ~ spl0_52
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f545,f522,f361,f5172]) ).
fof(f545,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X2))
| ~ theorem(not(X1)) )
| ~ spl0_52
| ~ spl0_62 ),
inference(resolution,[],[f523,f362]) ).
fof(f5170,plain,
( spl0_224
| ~ spl0_31
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f543,f522,f192,f5168]) ).
fof(f543,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(or(not(X0),X2),or(not(X0),X2)))) )
| ~ spl0_31
| ~ spl0_62 ),
inference(resolution,[],[f523,f193]) ).
fof(f5166,plain,
( spl0_223
| ~ spl0_17
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f510,f482,f102,f5164]) ).
fof(f5164,plain,
( spl0_223
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(or(not(or(or(X2,X3),X0)),X1),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f510,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(or(not(or(or(X2,X3),X0)),X1),X3))) )
| ~ spl0_17
| ~ spl0_60 ),
inference(resolution,[],[f483,f103]) ).
fof(f5162,plain,
( spl0_222
| ~ spl0_54
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f509,f482,f417,f5160]) ).
fof(f5160,plain,
( spl0_222
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(or(X2,X3),X0)),X1),or(X3,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f509,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(or(X2,X3),X0)),X1),or(X3,X2))) )
| ~ spl0_54
| ~ spl0_60 ),
inference(resolution,[],[f483,f418]) ).
fof(f5158,plain,
( spl0_221
| ~ spl0_15
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f502,f478,f85,f5156]) ).
fof(f502,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(or(X0,not(X1))),X0),X1))
| theorem(or(not(or(X0,not(X1))),X0)) )
| ~ spl0_15
| ~ spl0_59 ),
inference(resolution,[],[f479,f86]) ).
fof(f5154,plain,
( spl0_220
| ~ spl0_31
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f466,f450,f192,f5152]) ).
fof(f466,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_57 ),
inference(resolution,[],[f451,f193]) ).
fof(f5132,plain,
( spl0_219
| ~ spl0_34
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f412,f361,f230,f5130]) ).
fof(f412,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,X1)),or(X0,X2)),X3))
| ~ theorem(not(not(or(not(X1),X2)))) )
| ~ spl0_34
| ~ spl0_52 ),
inference(resolution,[],[f362,f231]) ).
fof(f5128,plain,
( spl0_218
| ~ spl0_14
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f396,f361,f80,f5126]) ).
fof(f5126,plain,
( spl0_218
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(or(not(or(X3,X0)),or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f396,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(or(not(or(X3,X0)),or(X3,X1)))) )
| ~ spl0_14
| ~ spl0_52 ),
inference(resolution,[],[f362,f81]) ).
fof(f5124,plain,
( spl0_217
| ~ spl0_36
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f395,f361,f239,f5122]) ).
fof(f5122,plain,
( spl0_217
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(not(or(not(X1),X3)),or(X0,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f395,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(not(or(not(X1),X3)),or(X0,X3)))) )
| ~ spl0_36
| ~ spl0_52 ),
inference(resolution,[],[f362,f240]) ).
fof(f4519,plain,
( spl0_216
| ~ spl0_76
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4398,f3774,f748,f4517]) ).
fof(f4398,plain,
( ! [X0] : ~ theorem(not(or(X0,not(X0))))
| ~ spl0_76
| ~ spl0_182 ),
inference(resolution,[],[f3775,f749]) ).
fof(f4451,plain,
( spl0_215
| ~ spl0_46
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f619,f590,f300,f4449]) ).
fof(f619,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(X1,or(X2,X3)))),X0),or(X2,or(X1,X3))))
| ~ spl0_46
| ~ spl0_67 ),
inference(resolution,[],[f591,f301]) ).
fof(f4447,plain,
( spl0_214
| ~ spl0_50
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f586,f535,f322,f4445]) ).
fof(f586,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X1)))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X1)) )
| ~ spl0_50
| ~ spl0_65 ),
inference(resolution,[],[f536,f323]) ).
fof(f4443,plain,
( spl0_213
| ~ spl0_15
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f581,f535,f85,f4441]) ).
fof(f581,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(X1)
| theorem(not(or(not(X1),X0))) )
| ~ spl0_15
| ~ spl0_65 ),
inference(resolution,[],[f536,f86]) ).
fof(f4439,plain,
( spl0_212
| ~ spl0_27
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f574,f526,f171,f4437]) ).
fof(f574,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X4))))
| ~ theorem(or(not(X1),X4)) )
| ~ spl0_27
| ~ spl0_63 ),
inference(resolution,[],[f527,f172]) ).
fof(f4435,plain,
( spl0_211
| ~ spl0_52
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f519,f486,f361,f4433]) ).
fof(f519,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(not(or(X0,X2))) )
| ~ spl0_52
| ~ spl0_61 ),
inference(resolution,[],[f487,f362]) ).
fof(f4431,plain,
( spl0_210
| ~ spl0_31
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f514,f486,f192,f4429]) ).
fof(f514,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X2,or(not(X1),X3))) )
| ~ spl0_31
| ~ spl0_61 ),
inference(resolution,[],[f487,f193]) ).
fof(f4427,plain,
( spl0_209
| ~ spl0_52
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f507,f482,f361,f4425]) ).
fof(f507,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X3))
| ~ theorem(not(X2)) )
| ~ spl0_52
| ~ spl0_60 ),
inference(resolution,[],[f483,f362]) ).
fof(f4423,plain,
( spl0_208
| ~ spl0_52
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f503,f478,f361,f4421]) ).
fof(f4421,plain,
( spl0_208
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(not(or(X3,not(X1))),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(not(or(X3,not(X1))),X3))) )
| ~ spl0_52
| ~ spl0_59 ),
inference(resolution,[],[f479,f362]) ).
fof(f4369,plain,
( spl0_207
| ~ spl0_51
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f497,f478,f357,f4367]) ).
fof(f497,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_59 ),
inference(resolution,[],[f479,f358]) ).
fof(f4365,plain,
( spl0_206
| ~ spl0_52
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f495,f474,f361,f4363]) ).
fof(f495,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),X3))
| ~ theorem(not(or(X1,X2))) )
| ~ spl0_52
| ~ spl0_58 ),
inference(resolution,[],[f475,f362]) ).
fof(f4361,plain,
( spl0_205
| ~ spl0_31
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f490,f474,f192,f4359]) ).
fof(f490,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X2,or(not(X0),X3)))) )
| ~ spl0_31
| ~ spl0_58 ),
inference(resolution,[],[f475,f193]) ).
fof(f4357,plain,
( spl0_204
| ~ spl0_50
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f464,f446,f322,f4355]) ).
fof(f464,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(or(X0,X0),X1),or(or(X0,X0),X1))),X1),X0))
| ~ spl0_50
| ~ spl0_56 ),
inference(resolution,[],[f447,f323]) ).
fof(f4353,plain,
( spl0_203
| ~ spl0_17
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f457,f442,f102,f4351]) ).
fof(f457,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(or(X0,X2),X3))),or(X1,X3)),X2)))
| ~ spl0_17
| ~ spl0_55 ),
inference(resolution,[],[f443,f103]) ).
fof(f4349,plain,
( spl0_202
| ~ spl0_54
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f456,f442,f417,f4347]) ).
fof(f456,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X2),X3))),or(X0,X3)),or(X2,X1)))
| ~ spl0_54
| ~ spl0_55 ),
inference(resolution,[],[f443,f418]) ).
fof(f4345,plain,
( spl0_201
| ~ spl0_33
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f410,f361,f221,f4343]) ).
fof(f4343,plain,
( spl0_201
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X0,X3))))
| ~ theorem(or(not(X3),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f410,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X0,X3))))
| ~ theorem(or(not(X3),X1)) )
| ~ spl0_33
| ~ spl0_52 ),
inference(resolution,[],[f362,f222]) ).
fof(f4341,plain,
( spl0_200
| ~ spl0_32
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f405,f361,f217,f4339]) ).
fof(f405,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X0,X2)),X3)))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_32
| ~ spl0_52 ),
inference(resolution,[],[f362,f218]) ).
fof(f4337,plain,
( spl0_199
| ~ spl0_19
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f394,f361,f117,f4335]) ).
fof(f394,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X0,X3)))
| ~ theorem(or(not(X1),X3)) )
| ~ spl0_19
| ~ spl0_52 ),
inference(resolution,[],[f362,f118]) ).
fof(f4333,plain,
( spl0_198
| ~ spl0_32
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f385,f357,f217,f4331]) ).
fof(f4331,plain,
( spl0_198
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X3)))
| ~ theorem(X1)
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f385,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X3)))
| ~ theorem(X1)
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_32
| ~ spl0_51 ),
inference(resolution,[],[f358,f218]) ).
fof(f4329,plain,
( spl0_197
| ~ spl0_21
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1885,f1811,f135,f4327]) ).
fof(f1885,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_21
| ~ spl0_109 ),
inference(resolution,[],[f1812,f136]) ).
fof(f4325,plain,
( spl0_196
| ~ spl0_30
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f383,f357,f188,f4323]) ).
fof(f4323,plain,
( spl0_196
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f383,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(X1) )
| ~ spl0_30
| ~ spl0_51 ),
inference(resolution,[],[f358,f189]) ).
fof(f3850,plain,
( spl0_195
| ~ spl0_51
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f578,f535,f357,f3848]) ).
fof(f578,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_51
| ~ spl0_65 ),
inference(resolution,[],[f536,f358]) ).
fof(f3846,plain,
( spl0_194
| ~ spl0_26
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f568,f526,f163,f3844]) ).
fof(f568,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,not(X1))),X3)))) )
| ~ spl0_26
| ~ spl0_63 ),
inference(resolution,[],[f527,f164]) ).
fof(f3842,plain,
( spl0_193
| ~ spl0_51
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f542,f522,f357,f3840]) ).
fof(f542,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(not(X0),X2),or(not(X0),X2))) )
| ~ spl0_51
| ~ spl0_62 ),
inference(resolution,[],[f523,f358]) ).
fof(f3816,plain,
( spl0_192
| ~ spl0_50
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f511,f482,f322,f3814]) ).
fof(f511,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(or(X2,X2),X0)),X1),X2)) )
| ~ spl0_50
| ~ spl0_60 ),
inference(resolution,[],[f483,f323]) ).
fof(f3812,plain,
( spl0_191
| ~ spl0_52
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f469,f450,f361,f3810]) ).
fof(f3810,plain,
( spl0_191
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(not(or(not(X1),not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f469,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(not(or(not(X1),not(X1))))) )
| ~ spl0_52
| ~ spl0_57 ),
inference(resolution,[],[f451,f362]) ).
fof(f3808,plain,
( spl0_190
| ~ spl0_15
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f468,f450,f85,f3806]) ).
fof(f468,plain,
( ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) )
| ~ spl0_15
| ~ spl0_57 ),
inference(resolution,[],[f451,f86]) ).
fof(f3804,plain,
( spl0_189
| ~ spl0_51
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f465,f450,f357,f3802]) ).
fof(f465,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_57 ),
inference(resolution,[],[f451,f358]) ).
fof(f3800,plain,
( spl0_188
| ~ spl0_52
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f460,f446,f361,f3798]) ).
fof(f460,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X2))
| ~ theorem(not(X0)) )
| ~ spl0_52
| ~ spl0_56 ),
inference(resolution,[],[f447,f362]) ).
fof(f3796,plain,
( spl0_187
| ~ spl0_52
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f454,f442,f361,f3794]) ).
fof(f454,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_52
| ~ spl0_55 ),
inference(resolution,[],[f443,f362]) ).
fof(f3792,plain,
( spl0_186
| ~ spl0_28
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f411,f361,f180,f3790]) ).
fof(f3790,plain,
( spl0_186
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(not(not(or(X1,or(X0,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f411,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(not(not(or(X1,or(X0,X2))))) )
| ~ spl0_28
| ~ spl0_52 ),
inference(resolution,[],[f362,f181]) ).
fof(f3788,plain,
( spl0_185
| ~ spl0_29
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f404,f361,f184,f3786]) ).
fof(f3786,plain,
( spl0_185
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,or(X0,X3))),or(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f404,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,or(X0,X3))),or(X2,X3)))) )
| ~ spl0_29
| ~ spl0_52 ),
inference(resolution,[],[f362,f185]) ).
fof(f3784,plain,
( spl0_184
| ~ spl0_30
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f403,f361,f188,f3782]) ).
fof(f3782,plain,
( spl0_184
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(or(X0,X2),or(X0,X2))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(or(X0,X2),or(X0,X2))),X2))) )
| ~ spl0_30
| ~ spl0_52 ),
inference(resolution,[],[f362,f189]) ).
fof(f3780,plain,
( spl0_183
| ~ spl0_12
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f393,f361,f71,f3778]) ).
fof(f393,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),X3))
| ~ theorem(not(or(X1,or(X0,X2)))) )
| ~ spl0_12
| ~ spl0_52 ),
inference(resolution,[],[f362,f72]) ).
fof(f3776,plain,
( spl0_182
| ~ spl0_78
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f980,f923,f778,f3774]) ).
fof(f980,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) )
| ~ spl0_78
| ~ spl0_89 ),
inference(resolution,[],[f924,f779]) ).
fof(f3772,plain,
( spl0_181
| ~ spl0_29
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f384,f357,f184,f3770]) ).
fof(f384,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(X2) )
| ~ spl0_29
| ~ spl0_51 ),
inference(resolution,[],[f358,f185]) ).
fof(f3768,plain,
( spl0_180
| ~ spl0_14
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f376,f357,f80,f3766]) ).
fof(f376,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_14
| ~ spl0_51 ),
inference(resolution,[],[f358,f81]) ).
fof(f3764,plain,
( spl0_179
| ~ spl0_36
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f375,f357,f239,f3762]) ).
fof(f375,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X3,X1)) )
| ~ spl0_36
| ~ spl0_51 ),
inference(resolution,[],[f358,f240]) ).
fof(f3272,plain,
( spl0_178
| ~ spl0_14
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f602,f590,f80,f3270]) ).
fof(f602,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1))))
| ~ spl0_14
| ~ spl0_67 ),
inference(resolution,[],[f591,f81]) ).
fof(f3268,plain,
( spl0_177
| ~ spl0_36
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f599,f590,f239,f3266]) ).
fof(f599,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2))))
| ~ spl0_36
| ~ spl0_67 ),
inference(resolution,[],[f591,f240]) ).
fof(f3264,plain,
( spl0_176
| ~ spl0_16
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f583,f535,f92,f3262]) ).
fof(f583,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X1,not(or(not(X2),X0)))) )
| ~ spl0_16
| ~ spl0_65 ),
inference(resolution,[],[f536,f93]) ).
fof(f3260,plain,
( spl0_175
| ~ spl0_22
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f564,f526,f139,f3258]) ).
fof(f564,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),not(X1)))))) )
| ~ spl0_22
| ~ spl0_63 ),
inference(resolution,[],[f527,f140]) ).
fof(f3237,plain,
( spl0_174
| ~ spl0_47
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f553,f526,f310,f3235]) ).
fof(f553,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,or(X3,X1)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_63 ),
inference(resolution,[],[f527,f311]) ).
fof(f3233,plain,
( spl0_173
| ~ spl0_16
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f546,f522,f92,f3231]) ).
fof(f3231,plain,
( spl0_173
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f546,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_62 ),
inference(resolution,[],[f523,f93]) ).
fof(f3229,plain,
( spl0_172
| ~ spl0_6
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f499,f478,f41,f3227]) ).
fof(f499,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,not(X1))),X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_59 ),
inference(resolution,[],[f479,f42]) ).
fof(f3225,plain,
( spl0_171
| ~ spl0_51
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f489,f474,f357,f3223]) ).
fof(f489,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(not(X0),X3))) )
| ~ spl0_51
| ~ spl0_58 ),
inference(resolution,[],[f475,f358]) ).
fof(f3221,plain,
( spl0_170
| ~ spl0_50
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f458,f442,f322,f3219]) ).
fof(f458,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1))
| ~ spl0_50
| ~ spl0_55 ),
inference(resolution,[],[f443,f323]) ).
fof(f3217,plain,
( spl0_169
| ~ spl0_14
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f428,f417,f80,f3215]) ).
fof(f428,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0)))))
| ~ spl0_14
| ~ spl0_54 ),
inference(resolution,[],[f418,f81]) ).
fof(f3213,plain,
( spl0_168
| ~ spl0_36
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f425,f417,f239,f3211]) ).
fof(f425,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2)))))
| ~ spl0_36
| ~ spl0_54 ),
inference(resolution,[],[f418,f240]) ).
fof(f3209,plain,
( spl0_167
| ~ spl0_19
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f374,f357,f117,f3207]) ).
fof(f374,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X3))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_19
| ~ spl0_51 ),
inference(resolution,[],[f358,f118]) ).
fof(f3205,plain,
( spl0_166
| ~ spl0_33
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f329,f314,f221,f3203]) ).
fof(f329,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) )
| ~ spl0_33
| ~ spl0_48 ),
inference(resolution,[],[f315,f222]) ).
fof(f2936,plain,
( ~ spl0_165
| spl0_1
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1937,f1819,f18,f2933]) ).
fof(f1937,plain,
( ~ theorem(not(or(q,not(p))))
| spl0_1
| ~ spl0_111 ),
inference(resolution,[],[f1820,f20]) ).
fof(f2649,plain,
( spl0_164
| ~ spl0_26
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f640,f623,f163,f2647]) ).
fof(f640,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_26
| ~ spl0_68 ),
inference(resolution,[],[f624,f164]) ).
fof(f2645,plain,
( spl0_163
| ~ spl0_11
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f628,f623,f66,f2643]) ).
fof(f628,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_11
| ~ spl0_68 ),
inference(resolution,[],[f624,f67]) ).
fof(f2641,plain,
( spl0_162
| ~ spl0_27
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f613,f590,f171,f2639]) ).
fof(f613,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X1,X3))) )
| ~ spl0_27
| ~ spl0_67 ),
inference(resolution,[],[f591,f172]) ).
fof(f2637,plain,
( spl0_161
| ~ spl0_6
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f580,f535,f41,f2635]) ).
fof(f580,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_6
| ~ spl0_65 ),
inference(resolution,[],[f536,f42]) ).
fof(f2633,plain,
( spl0_160
| ~ spl0_11
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f554,f526,f66,f2631]) ).
fof(f554,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X2,X1)))) )
| ~ spl0_11
| ~ spl0_63 ),
inference(resolution,[],[f527,f67]) ).
fof(f2629,plain,
( spl0_159
| ~ spl0_6
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f544,f522,f41,f2627]) ).
fof(f544,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_62 ),
inference(resolution,[],[f523,f42]) ).
fof(f2625,plain,
( spl0_158
| ~ spl0_16
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f520,f486,f92,f2623]) ).
fof(f520,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) )
| ~ spl0_16
| ~ spl0_61 ),
inference(resolution,[],[f487,f93]) ).
fof(f2621,plain,
( ~ spl0_157
| spl0_64
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1939,f1819,f530,f2618]) ).
fof(f1939,plain,
( ~ theorem(not(or(q,p)))
| spl0_64
| ~ spl0_111 ),
inference(resolution,[],[f1820,f532]) ).
fof(f2616,plain,
( spl0_156
| ~ spl0_17
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f517,f486,f102,f2614]) ).
fof(f517,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) )
| ~ spl0_17
| ~ spl0_61 ),
inference(resolution,[],[f487,f103]) ).
fof(f2612,plain,
( spl0_155
| ~ spl0_54
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f516,f486,f417,f2610]) ).
fof(f516,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) )
| ~ spl0_54
| ~ spl0_61 ),
inference(resolution,[],[f487,f418]) ).
fof(f2608,plain,
( spl0_154
| ~ spl0_16
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f504,f478,f92,f2606]) ).
fof(f504,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) )
| ~ spl0_16
| ~ spl0_59 ),
inference(resolution,[],[f479,f93]) ).
fof(f2604,plain,
( spl0_153
| ~ spl0_17
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f501,f478,f102,f2602]) ).
fof(f501,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) )
| ~ spl0_17
| ~ spl0_59 ),
inference(resolution,[],[f479,f103]) ).
fof(f2600,plain,
( spl0_152
| ~ spl0_54
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f500,f478,f417,f2598]) ).
fof(f500,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) )
| ~ spl0_54
| ~ spl0_59 ),
inference(resolution,[],[f479,f418]) ).
fof(f2596,plain,
( spl0_151
| ~ spl0_16
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f496,f474,f92,f2594]) ).
fof(f496,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) )
| ~ spl0_16
| ~ spl0_58 ),
inference(resolution,[],[f475,f93]) ).
fof(f2592,plain,
( spl0_150
| ~ spl0_17
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f493,f474,f102,f2590]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) )
| ~ spl0_17
| ~ spl0_58 ),
inference(resolution,[],[f475,f103]) ).
fof(f2588,plain,
( spl0_149
| ~ spl0_54
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f492,f474,f417,f2586]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) )
| ~ spl0_54
| ~ spl0_58 ),
inference(resolution,[],[f475,f418]) ).
fof(f2584,plain,
( spl0_148
| ~ spl0_6
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f467,f450,f41,f2582]) ).
fof(f467,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_57 ),
inference(resolution,[],[f451,f42]) ).
fof(f2580,plain,
( spl0_147
| ~ spl0_49
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f440,f417,f318,f2578]) ).
fof(f440,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_49
| ~ spl0_54 ),
inference(resolution,[],[f418,f319]) ).
fof(f2576,plain,
( spl0_146
| ~ spl0_32
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f433,f417,f217,f2574]) ).
fof(f433,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_32
| ~ spl0_54 ),
inference(resolution,[],[f418,f218]) ).
fof(f2572,plain,
( spl0_145
| ~ spl0_47
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f427,f417,f310,f2570]) ).
fof(f427,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_54 ),
inference(resolution,[],[f418,f311]) ).
fof(f2568,plain,
( spl0_144
| ~ spl0_19
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f424,f417,f117,f2566]) ).
fof(f424,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19
| ~ spl0_54 ),
inference(resolution,[],[f418,f118]) ).
fof(f2564,plain,
( spl0_143
| ~ spl0_12
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f373,f357,f71,f2562]) ).
fof(f373,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) )
| ~ spl0_12
| ~ spl0_51 ),
inference(resolution,[],[f358,f72]) ).
fof(f2560,plain,
( spl0_142
| ~ spl0_17
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f340,f318,f102,f2558]) ).
fof(f340,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(or(X3,X2),X1))) )
| ~ spl0_17
| ~ spl0_49 ),
inference(resolution,[],[f319,f103]) ).
fof(f2556,plain,
( spl0_141
| ~ spl0_27
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f336,f314,f171,f2554]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) )
| ~ spl0_27
| ~ spl0_48 ),
inference(resolution,[],[f315,f172]) ).
fof(f2552,plain,
( spl0_140
| ~ spl0_17
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f328,f310,f102,f2550]) ).
fof(f328,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) )
| ~ spl0_17
| ~ spl0_47 ),
inference(resolution,[],[f311,f103]) ).
fof(f2505,plain,
( ~ spl0_139
| ~ spl0_20
| spl0_120 ),
inference(avatar_split_clause,[],[f2257,f1919,f125,f2502]) ).
fof(f2257,plain,
( ~ theorem(not(q))
| ~ spl0_20
| spl0_120 ),
inference(resolution,[],[f1921,f126]) ).
fof(f2129,plain,
( spl0_138
| ~ spl0_26
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f608,f590,f163,f2127]) ).
fof(f608,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_26
| ~ spl0_67 ),
inference(resolution,[],[f591,f164]) ).
fof(f2125,plain,
( spl0_137
| ~ spl0_29
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f606,f590,f184,f2123]) ).
fof(f606,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_29
| ~ spl0_67 ),
inference(resolution,[],[f591,f185]) ).
fof(f2121,plain,
( spl0_136
| ~ spl0_11
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f595,f590,f66,f2119]) ).
fof(f595,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_11
| ~ spl0_67 ),
inference(resolution,[],[f591,f67]) ).
fof(f2117,plain,
( spl0_135
| ~ spl0_6
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f491,f474,f41,f2115]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_6
| ~ spl0_58 ),
inference(resolution,[],[f475,f42]) ).
fof(f2113,plain,
( spl0_134
| ~ spl0_16
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f470,f450,f92,f2111]) ).
fof(f470,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) )
| ~ spl0_16
| ~ spl0_57 ),
inference(resolution,[],[f451,f93]) ).
fof(f2109,plain,
( spl0_133
| ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f439,f417,f300,f2107]) ).
fof(f439,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_46
| ~ spl0_54 ),
inference(resolution,[],[f418,f301]) ).
fof(f2103,plain,
( spl0_132
| ~ spl0_29
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f432,f417,f184,f2101]) ).
fof(f432,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_29
| ~ spl0_54 ),
inference(resolution,[],[f418,f185]) ).
fof(f2099,plain,
( spl0_131
| ~ spl0_30
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f431,f417,f188,f2097]) ).
fof(f431,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_30
| ~ spl0_54 ),
inference(resolution,[],[f418,f189]) ).
fof(f2095,plain,
( spl0_130
| ~ spl0_10
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f426,f417,f60,f2093]) ).
fof(f426,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_10
| ~ spl0_54 ),
inference(resolution,[],[f418,f61]) ).
fof(f2091,plain,
( spl0_129
| ~ spl0_12
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f423,f417,f71,f2089]) ).
fof(f423,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_12
| ~ spl0_54 ),
inference(resolution,[],[f418,f72]) ).
fof(f2087,plain,
( spl0_128
| ~ spl0_49
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f415,f361,f318,f2085]) ).
fof(f415,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) )
| ~ spl0_49
| ~ spl0_52 ),
inference(resolution,[],[f362,f319]) ).
fof(f2083,plain,
( spl0_127
| ~ spl0_27
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f407,f361,f171,f2081]) ).
fof(f2081,plain,
( spl0_127
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f407,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) )
| ~ spl0_27
| ~ spl0_52 ),
inference(resolution,[],[f362,f172]) ).
fof(f2079,plain,
( spl0_126
| ~ spl0_47
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f391,f361,f310,f2077]) ).
fof(f391,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_52 ),
inference(resolution,[],[f362,f311]) ).
fof(f2075,plain,
( spl0_125
| ~ spl0_27
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f387,f357,f171,f2073]) ).
fof(f387,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_27
| ~ spl0_51 ),
inference(resolution,[],[f358,f172]) ).
fof(f2071,plain,
( spl0_124
| ~ spl0_12
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f344,f322,f71,f2069]) ).
fof(f344,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_12
| ~ spl0_50 ),
inference(resolution,[],[f323,f72]) ).
fof(f2067,plain,
( spl0_123
| ~ spl0_31
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f325,f310,f192,f2065]) ).
fof(f325,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) )
| ~ spl0_31
| ~ spl0_47 ),
inference(resolution,[],[f311,f193]) ).
fof(f2063,plain,
( ~ spl0_122
| spl0_38
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1984,f1843,f253,f2060]) ).
fof(f1984,plain,
( ~ theorem(or(q,p))
| spl0_38
| ~ spl0_117 ),
inference(resolution,[],[f1844,f255]) ).
fof(f2058,plain,
( spl0_121
| ~ spl0_17
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f305,f300,f102,f2056]) ).
fof(f305,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_17
| ~ spl0_46 ),
inference(resolution,[],[f301,f103]) ).
fof(f1922,plain,
( ~ spl0_120
| spl0_64
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1854,f1803,f530,f1919]) ).
fof(f1854,plain,
( ~ theorem(or(not(q),p))
| spl0_64
| ~ spl0_107 ),
inference(resolution,[],[f1804,f532]) ).
fof(f1853,plain,
( spl0_119
| ~ spl0_10
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f552,f526,f60,f1851]) ).
fof(f552,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_10
| ~ spl0_63 ),
inference(resolution,[],[f527,f61]) ).
fof(f1849,plain,
( spl0_118
| ~ spl0_7
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f550,f526,f46,f1847]) ).
fof(f550,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) )
| ~ spl0_7
| ~ spl0_63 ),
inference(resolution,[],[f527,f47]) ).
fof(f1845,plain,
( spl0_117
| ~ spl0_50
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f518,f486,f322,f1843]) ).
fof(f518,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) )
| ~ spl0_50
| ~ spl0_61 ),
inference(resolution,[],[f487,f323]) ).
fof(f1841,plain,
( spl0_116
| ~ spl0_50
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f494,f474,f322,f1839]) ).
fof(f494,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) )
| ~ spl0_50
| ~ spl0_58 ),
inference(resolution,[],[f475,f323]) ).
fof(f1837,plain,
( spl0_115
| ~ spl0_46
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f414,f361,f300,f1835]) ).
fof(f414,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_46
| ~ spl0_52 ),
inference(resolution,[],[f362,f301]) ).
fof(f1833,plain,
( spl0_114
| ~ spl0_25
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f409,f361,f159,f1831]) ).
fof(f1831,plain,
( spl0_114
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f409,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) )
| ~ spl0_25
| ~ spl0_52 ),
inference(resolution,[],[f362,f160]) ).
fof(f1829,plain,
( spl0_113
| ~ spl0_26
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f402,f361,f163,f1827]) ).
fof(f1827,plain,
( spl0_113
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f402,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) )
| ~ spl0_26
| ~ spl0_52 ),
inference(resolution,[],[f362,f164]) ).
fof(f1825,plain,
( spl0_112
| ~ spl0_16
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f771,f748,f92,f1823]) ).
fof(f771,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_16
| ~ spl0_76 ),
inference(resolution,[],[f749,f93]) ).
fof(f1821,plain,
( spl0_111
| ~ spl0_11
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f392,f361,f66,f1819]) ).
fof(f392,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_11
| ~ spl0_52 ),
inference(resolution,[],[f362,f67]) ).
fof(f1817,plain,
( spl0_110
| ~ spl0_26
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f382,f357,f163,f1815]) ).
fof(f382,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_51 ),
inference(resolution,[],[f358,f164]) ).
fof(f1813,plain,
( spl0_109
| ~ spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f355,f322,f318,f1811]) ).
fof(f355,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) )
| ~ spl0_49
| ~ spl0_50 ),
inference(resolution,[],[f323,f319]) ).
fof(f1809,plain,
( spl0_108
| ~ spl0_47
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f347,f322,f310,f1807]) ).
fof(f347,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_50 ),
inference(resolution,[],[f323,f311]) ).
fof(f1805,plain,
( spl0_107
| ~ spl0_19
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f345,f322,f117,f1803]) ).
fof(f345,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_19
| ~ spl0_50 ),
inference(resolution,[],[f323,f118]) ).
fof(f1728,plain,
( spl0_106
| ~ spl0_17
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f768,f748,f102,f1726]) ).
fof(f768,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_17
| ~ spl0_76 ),
inference(resolution,[],[f749,f103]) ).
fof(f1712,plain,
( spl0_105
| ~ spl0_23
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f607,f590,f143,f1710]) ).
fof(f607,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_23
| ~ spl0_67 ),
inference(resolution,[],[f591,f144]) ).
fof(f1708,plain,
( spl0_104
| ~ spl0_7
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f593,f590,f46,f1706]) ).
fof(f593,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_7
| ~ spl0_67 ),
inference(resolution,[],[f591,f47]) ).
fof(f1401,plain,
( ~ spl0_103
| spl0_1
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1003,f942,f18,f1398]) ).
fof(f1003,plain,
( ~ theorem(or(not(or(not(p),q)),not(or(p,q))))
| spl0_1
| ~ spl0_94 ),
inference(resolution,[],[f943,f20]) ).
fof(f1068,plain,
( spl0_1
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| spl0_1
| ~ spl0_92 ),
inference(resolution,[],[f935,f20]) ).
fof(f935,plain,
( ! [X0,X1] : theorem(or(X0,X1))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f934,plain,
( spl0_92
<=> ! [X0,X1] : theorem(or(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1067,plain,
( spl0_18
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1058]) ).
fof(f1058,plain,
( $false
| spl0_18
| ~ spl0_92 ),
inference(resolution,[],[f935,f114]) ).
fof(f1066,plain,
( spl0_38
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1059]) ).
fof(f1059,plain,
( $false
| spl0_38
| ~ spl0_92 ),
inference(resolution,[],[f935,f255]) ).
fof(f1065,plain,
( spl0_64
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
fof(f1060,plain,
( $false
| spl0_64
| ~ spl0_92 ),
inference(resolution,[],[f935,f532]) ).
fof(f1056,plain,
( spl0_102
| spl0_92
| ~ spl0_44
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f406,f361,f286,f934,f1054]) ).
fof(f1054,plain,
( spl0_102
<=> ! [X2,X3] :
( ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f406,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) )
| ~ spl0_44
| ~ spl0_52 ),
inference(resolution,[],[f362,f287]) ).
fof(f1052,plain,
( spl0_101
| ~ spl0_22
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f379,f357,f139,f1050]) ).
fof(f379,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_22
| ~ spl0_51 ),
inference(resolution,[],[f358,f140]) ).
fof(f1048,plain,
( spl0_100
| ~ spl0_47
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f371,f357,f310,f1046]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_51 ),
inference(resolution,[],[f358,f311]) ).
fof(f1044,plain,
( ~ spl0_99
| spl0_1
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f960,f915,f18,f1041]) ).
fof(f960,plain,
( ~ theorem(or(q,not(or(p,q))))
| spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f916,f20]) ).
fof(f1039,plain,
( spl0_98
| ~ spl0_46
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f354,f322,f300,f1037]) ).
fof(f354,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_46
| ~ spl0_50 ),
inference(resolution,[],[f323,f301]) ).
fof(f1035,plain,
( spl0_97
| ~ spl0_10
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f346,f322,f60,f1033]) ).
fof(f346,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_10
| ~ spl0_50 ),
inference(resolution,[],[f323,f61]) ).
fof(f952,plain,
( spl0_96
| ~ spl0_16
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f761,f744,f92,f950]) ).
fof(f761,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_16
| ~ spl0_75 ),
inference(resolution,[],[f745,f93]) ).
fof(f948,plain,
( spl0_95
| ~ spl0_44
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f612,f590,f286,f946]) ).
fof(f612,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_44
| ~ spl0_67 ),
inference(resolution,[],[f591,f287]) ).
fof(f944,plain,
( spl0_94
| ~ spl0_27
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f435,f417,f171,f942]) ).
fof(f435,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_27
| ~ spl0_54 ),
inference(resolution,[],[f418,f172]) ).
fof(f940,plain,
( spl0_93
| ~ spl0_21
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f408,f361,f135,f938]) ).
fof(f408,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_21
| ~ spl0_52 ),
inference(resolution,[],[f362,f136]) ).
fof(f936,plain,
( spl0_91
| spl0_92
| ~ spl0_23
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f401,f361,f143,f934,f931]) ).
fof(f401,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(X2),X2))) )
| ~ spl0_23
| ~ spl0_52 ),
inference(resolution,[],[f362,f144]) ).
fof(f929,plain,
( spl0_90
| ~ spl0_22
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f399,f361,f139,f927]) ).
fof(f399,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_22
| ~ spl0_52 ),
inference(resolution,[],[f362,f140]) ).
fof(f925,plain,
( spl0_89
| ~ spl0_10
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f390,f361,f60,f923]) ).
fof(f390,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_10
| ~ spl0_52 ),
inference(resolution,[],[f362,f61]) ).
fof(f921,plain,
( spl0_88
| ~ spl0_7
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f388,f361,f46,f919]) ).
fof(f388,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) )
| ~ spl0_7
| ~ spl0_52 ),
inference(resolution,[],[f362,f47]) ).
fof(f917,plain,
( spl0_87
| ~ spl0_11
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f372,f357,f66,f915]) ).
fof(f372,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_11
| ~ spl0_51 ),
inference(resolution,[],[f358,f67]) ).
fof(f913,plain,
( spl0_86
| ~ spl0_16
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f327,f310,f92,f911]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) )
| ~ spl0_16
| ~ spl0_47 ),
inference(resolution,[],[f311,f93]) ).
fof(f909,plain,
( spl0_85
| ~ spl0_17
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f757,f744,f102,f907]) ).
fof(f757,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_17
| ~ spl0_75 ),
inference(resolution,[],[f745,f103]) ).
fof(f849,plain,
( spl0_84
| ~ spl0_26
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f430,f417,f163,f847]) ).
fof(f430,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_26
| ~ spl0_54 ),
inference(resolution,[],[f418,f164]) ).
fof(f845,plain,
( spl0_83
| ~ spl0_6
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f326,f310,f41,f843]) ).
fof(f326,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) )
| ~ spl0_6
| ~ spl0_47 ),
inference(resolution,[],[f311,f42]) ).
fof(f841,plain,
( spl0_82
| ~ spl0_17
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f284,f279,f102,f839]) ).
fof(f284,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_17
| ~ spl0_43 ),
inference(resolution,[],[f280,f103]) ).
fof(f837,plain,
( spl0_81
| ~ spl0_17
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f266,f260,f102,f835]) ).
fof(f266,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_17
| ~ spl0_39 ),
inference(resolution,[],[f261,f103]) ).
fof(f788,plain,
( spl0_80
| ~ spl0_7
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f368,f357,f46,f786]) ).
fof(f368,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_51 ),
inference(resolution,[],[f358,f47]) ).
fof(f784,plain,
( spl0_79
| ~ spl0_48
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f337,f318,f314,f782]) ).
fof(f337,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_48
| ~ spl0_49 ),
inference(resolution,[],[f319,f315]) ).
fof(f780,plain,
( spl0_78
| ~ spl0_42
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f303,f296,f275,f778]) ).
fof(f303,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) )
| ~ spl0_42
| ~ spl0_45 ),
inference(resolution,[],[f297,f276]) ).
fof(f276,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f776,plain,
( spl0_77
| ~ spl0_16
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f294,f286,f92,f774]) ).
fof(f294,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_16
| ~ spl0_44 ),
inference(resolution,[],[f287,f93]) ).
fof(f750,plain,
( spl0_76
| ~ spl0_23
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f429,f417,f143,f748]) ).
fof(f429,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_23
| ~ spl0_54 ),
inference(resolution,[],[f418,f144]) ).
fof(f746,plain,
( spl0_75
| ~ spl0_7
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f420,f417,f46,f744]) ).
fof(f420,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_7
| ~ spl0_54 ),
inference(resolution,[],[f418,f47]) ).
fof(f742,plain,
( ~ spl0_74
| ~ spl0_13
| spl0_64 ),
inference(avatar_split_clause,[],[f656,f530,f75,f739]) ).
fof(f75,plain,
( spl0_13
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f656,plain,
( ~ theorem(p)
| ~ spl0_13
| spl0_64 ),
inference(resolution,[],[f532,f76]) ).
fof(f76,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f712,plain,
( spl0_73
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f224,f217,f192,f710]) ).
fof(f224,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(X2,X3)) )
| ~ spl0_31
| ~ spl0_32 ),
inference(resolution,[],[f218,f193]) ).
fof(f708,plain,
( spl0_72
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f213,f192,f188,f706]) ).
fof(f213,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_30
| ~ spl0_31 ),
inference(resolution,[],[f193,f189]) ).
fof(f668,plain,
( spl0_71
| ~ spl0_31
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f243,f239,f192,f666]) ).
fof(f243,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) )
| ~ spl0_31
| ~ spl0_36 ),
inference(resolution,[],[f240,f193]) ).
fof(f664,plain,
( spl0_70
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f214,f192,f184,f662]) ).
fof(f214,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) )
| ~ spl0_29
| ~ spl0_31 ),
inference(resolution,[],[f193,f185]) ).
fof(f660,plain,
( spl0_69
| ~ spl0_14
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f207,f192,f80,f658]) ).
fof(f207,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) )
| ~ spl0_14
| ~ spl0_31 ),
inference(resolution,[],[f193,f81]) ).
fof(f625,plain,
( spl0_68
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f206,f192,f117,f623]) ).
fof(f206,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X1,X3)))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_19
| ~ spl0_31 ),
inference(resolution,[],[f193,f118]) ).
fof(f592,plain,
( spl0_67
| ~ spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f205,f192,f71,f590]) ).
fof(f205,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X2,or(X1,X3)))) )
| ~ spl0_12
| ~ spl0_31 ),
inference(resolution,[],[f193,f72]) ).
fof(f541,plain,
( spl0_66
| ~ spl0_16
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f246,f239,f92,f539]) ).
fof(f246,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0))))
| ~ spl0_16
| ~ spl0_36 ),
inference(resolution,[],[f240,f93]) ).
fof(f537,plain,
( spl0_65
| ~ spl0_6
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f225,f217,f41,f535]) ).
fof(f225,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(X2) )
| ~ spl0_6
| ~ spl0_32 ),
inference(resolution,[],[f218,f42]) ).
fof(f533,plain,
( ~ spl0_64
| spl0_1
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f512,f486,f18,f530]) ).
fof(f512,plain,
( ~ theorem(or(not(or(p,q)),p))
| spl0_1
| ~ spl0_61 ),
inference(resolution,[],[f487,f20]) ).
fof(f528,plain,
( spl0_63
| ~ spl0_27
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f215,f192,f171,f526]) ).
fof(f215,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X3))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_27
| ~ spl0_31 ),
inference(resolution,[],[f193,f172]) ).
fof(f524,plain,
( spl0_62
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f199,f188,f41,f522]) ).
fof(f199,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_30 ),
inference(resolution,[],[f189,f42]) ).
fof(f488,plain,
( spl0_61
| ~ spl0_6
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f244,f239,f41,f486]) ).
fof(f244,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_36 ),
inference(resolution,[],[f240,f42]) ).
fof(f484,plain,
( spl0_60
| ~ spl0_16
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f227,f217,f92,f482]) ).
fof(f227,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) )
| ~ spl0_16
| ~ spl0_32 ),
inference(resolution,[],[f218,f93]) ).
fof(f480,plain,
( spl0_59
| ~ spl0_26
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f212,f192,f163,f478]) ).
fof(f212,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_26
| ~ spl0_31 ),
inference(resolution,[],[f193,f164]) ).
fof(f476,plain,
( spl0_58
| ~ spl0_6
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f196,f184,f41,f474]) ).
fof(f196,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_29 ),
inference(resolution,[],[f185,f42]) ).
fof(f452,plain,
( spl0_57
| ~ spl0_22
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f210,f192,f139,f450]) ).
fof(f210,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_22
| ~ spl0_31 ),
inference(resolution,[],[f193,f140]) ).
fof(f448,plain,
( spl0_56
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f201,f188,f92,f446]) ).
fof(f201,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_16
| ~ spl0_30 ),
inference(resolution,[],[f189,f93]) ).
fof(f444,plain,
( spl0_55
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f198,f184,f92,f442]) ).
fof(f198,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f185,f93]) ).
fof(f419,plain,
( spl0_54
| ~ spl0_11
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f204,f192,f66,f417]) ).
fof(f204,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) )
| ~ spl0_11
| ~ spl0_31 ),
inference(resolution,[],[f193,f67]) ).
fof(f367,plain,
( spl0_53
| ~ spl0_6
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f307,f268,f41,f365]) ).
fof(f307,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_40 ),
inference(resolution,[],[f269,f42]) ).
fof(f363,plain,
( spl0_52
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f208,f192,f125,f361]) ).
fof(f208,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) )
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f193,f126]) ).
fof(f359,plain,
( spl0_51
| ~ spl0_6
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f175,f171,f41,f357]) ).
fof(f175,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_27 ),
inference(resolution,[],[f172,f42]) ).
fof(f324,plain,
( spl0_50
| ~ spl0_10
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f203,f192,f60,f322]) ).
fof(f203,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) )
| ~ spl0_10
| ~ spl0_31 ),
inference(resolution,[],[f193,f61]) ).
fof(f320,plain,
( spl0_49
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f178,f171,f92,f318]) ).
fof(f178,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) )
| ~ spl0_16
| ~ spl0_27 ),
inference(resolution,[],[f172,f93]) ).
fof(f316,plain,
( spl0_48
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f177,f171,f85,f314]) ).
fof(f177,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_27 ),
inference(resolution,[],[f172,f86]) ).
fof(f312,plain,
( spl0_47
| ~ spl0_6
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f167,f163,f41,f310]) ).
fof(f167,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_26 ),
inference(resolution,[],[f164,f42]) ).
fof(f302,plain,
( spl0_46
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f169,f163,f92,f300]) ).
fof(f169,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f164,f93]) ).
fof(f298,plain,
( spl0_45
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f147,f139,f41,f296]) ).
fof(f147,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f140,f42]) ).
fof(f288,plain,
( spl0_44
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f133,f125,f102,f286]) ).
fof(f133,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_20 ),
inference(resolution,[],[f126,f103]) ).
fof(f281,plain,
( spl0_43
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f157,f143,f92,f279]) ).
fof(f157,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f144,f93]) ).
fof(f277,plain,
( spl0_41
| spl0_42
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f130,f125,f41,f275,f272]) ).
fof(f130,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f126,f42]) ).
fof(f270,plain,
( spl0_40
| ~ spl0_16
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f265,f260,f92,f268]) ).
fof(f265,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_16
| ~ spl0_39 ),
inference(resolution,[],[f261,f93]) ).
fof(f262,plain,
( spl0_39
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f156,f143,f85,f260]) ).
fof(f156,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_15
| ~ spl0_23 ),
inference(resolution,[],[f144,f86]) ).
fof(f256,plain,
( ~ spl0_38
| spl0_1
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f174,f171,f18,f253]) ).
fof(f174,plain,
( ~ theorem(or(not(or(not(p),q)),q))
| spl0_1
| ~ spl0_27 ),
inference(resolution,[],[f172,f20]) ).
fof(f251,plain,
( ~ spl0_37
| spl0_1
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f128,f125,f18,f248]) ).
fof(f128,plain,
( ~ theorem(not(or(not(p),q)))
| spl0_1
| ~ spl0_20 ),
inference(resolution,[],[f126,f20]) ).
fof(f241,plain,
( spl0_36
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f109,f102,f80,f239]) ).
fof(f109,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2))))
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[],[f103,f81]) ).
fof(f237,plain,
( ~ spl0_35
| spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f129,f125,f112,f234]) ).
fof(f129,plain,
( ~ theorem(not(or(p,q)))
| spl0_18
| ~ spl0_20 ),
inference(resolution,[],[f126,f114]) ).
fof(f232,plain,
( spl0_34
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f99,f92,f80,f230]) ).
fof(f99,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2))))
| ~ spl0_14
| ~ spl0_16 ),
inference(resolution,[],[f93,f81]) ).
fof(f223,plain,
( spl0_33
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f122,f117,f92,f221]) ).
fof(f122,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) )
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[],[f118,f93]) ).
fof(f219,plain,
( spl0_32
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f121,f117,f102,f217]) ).
fof(f121,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X2,X0)),X1))) )
| ~ spl0_17
| ~ spl0_19 ),
inference(resolution,[],[f118,f103]) ).
fof(f194,plain,
( spl0_31
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f120,f117,f41,f192]) ).
fof(f120,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f118,f42]) ).
fof(f190,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f108,f102,f60,f188]) ).
fof(f108,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f103,f61]) ).
fof(f186,plain,
( spl0_29
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f107,f102,f71,f184]) ).
fof(f107,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_12
| ~ spl0_17 ),
inference(resolution,[],[f103,f72]) ).
fof(f182,plain,
( spl0_28
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f98,f92,f71,f180]) ).
fof(f98,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f93,f72]) ).
fof(f173,plain,
( spl0_27
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f110,f102,f75,f171]) ).
fof(f110,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f103,f76]) ).
fof(f165,plain,
( spl0_26
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f106,f102,f66,f163]) ).
fof(f106,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_11
| ~ spl0_17 ),
inference(resolution,[],[f103,f67]) ).
fof(f161,plain,
( spl0_25
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f97,f92,f66,f159]) ).
fof(f97,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_11
| ~ spl0_16 ),
inference(resolution,[],[f93,f67]) ).
fof(f153,plain,
( ~ spl0_24
| ~ spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f123,f112,f75,f150]) ).
fof(f123,plain,
( ~ theorem(q)
| ~ spl0_13
| spl0_18 ),
inference(resolution,[],[f114,f76]) ).
fof(f145,plain,
( spl0_23
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f105,f102,f46,f143]) ).
fof(f105,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f103,f47]) ).
fof(f141,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f96,f92,f60,f139]) ).
fof(f96,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_10
| ~ spl0_16 ),
inference(resolution,[],[f93,f61]) ).
fof(f137,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f95,f92,f46,f135]) ).
fof(f95,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f93,f47]) ).
fof(f127,plain,
( spl0_20
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f100,f92,f75,f125]) ).
fof(f100,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f93,f76]) ).
fof(f119,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f83,f80,f41,f117]) ).
fof(f83,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f81,f42]) ).
fof(f115,plain,
( ~ spl0_18
| spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f88,f75,f18,f112]) ).
fof(f88,plain,
( ~ theorem(or(not(or(p,q)),q))
| spl0_1
| ~ spl0_13 ),
inference(resolution,[],[f76,f20]) ).
fof(f104,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f78,f71,f41,f102]) ).
fof(f78,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f72,f42]) ).
fof(f94,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f69,f66,f41,f92]) ).
fof(f69,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f67,f42]) ).
fof(f87,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f64,f60,f41,f85]) ).
fof(f64,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f61,f42]) ).
fof(f82,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f58,f55,f23,f80]) ).
fof(f23,plain,
( spl0_2
<=> ! [X3] :
( ~ axiom(X3)
| theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f55,plain,
( spl0_9
<=> ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f58,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f56,f24]) ).
fof(f24,plain,
( ! [X3] :
( ~ axiom(X3)
| theorem(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f56,plain,
( ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f77,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f63,f46,f41,f75]) ).
fof(f63,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f47,f42]) ).
fof(f73,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f53,f50,f23,f71]) ).
fof(f50,plain,
( spl0_8
<=> ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f53,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f51,f24]) ).
fof(f51,plain,
( ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f68,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f44,f37,f23,f66]) ).
fof(f37,plain,
( spl0_5
<=> ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f44,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f38,f24]) ).
fof(f38,plain,
( ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f62,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f35,f31,f23,f60]) ).
fof(f31,plain,
( spl0_4
<=> ! [X0] : axiom(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f35,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f32,f24]) ).
fof(f32,plain,
( ! [X0] : axiom(or(not(or(X0,X0)),X0))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f57,plain,
spl0_9,
inference(avatar_split_clause,[],[f14,f55]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f52,plain,
spl0_8,
inference(avatar_split_clause,[],[f15,f50]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f48,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f34,f27,f23,f46]) ).
fof(f27,plain,
( spl0_3
<=> ! [X0,X1] : axiom(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f34,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f28,f24]) ).
fof(f28,plain,
( ! [X0,X1] : axiom(or(not(X0),or(X1,X0)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f43,plain,
spl0_6,
inference(avatar_split_clause,[],[f16,f41]) ).
fof(f16,plain,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f39,plain,
spl0_5,
inference(avatar_split_clause,[],[f13,f37]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f33,plain,
spl0_4,
inference(avatar_split_clause,[],[f12,f31]) ).
fof(f12,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f29,plain,
spl0_3,
inference(avatar_split_clause,[],[f11,f27]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f25,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f23]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f10,f18]) ).
fof(f10,plain,
~ theorem(or(not(or(not(p),q)),or(not(or(p,q)),q))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f9,axiom,
~ theorem(implies(implies(p,q),implies(or(p,q),q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL215-3 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n018.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 14:08:16 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.21/0.35 % (10433)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (10437)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.36 TRYING [1]
% 0.21/0.36 TRYING [2]
% 0.21/0.36 TRYING [3]
% 0.21/0.36 % (10436)WARNING: value z3 for option sas not known
% 0.21/0.37 % (10435)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (10436)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 theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (10438)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 theBenchmark for (531ds/0Mi)
% 0.21/0.37 % (10434)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (10439)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 theBenchmark for (522ds/0Mi)
% 0.21/0.37 % (10440)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 theBenchmark for (497ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [4]
% 0.21/0.37 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.40 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.49 TRYING [6]
% 1.74/0.58 TRYING [6]
% 3.02/0.79 TRYING [7]
% 6.33/1.28 TRYING [7]
% 7.96/1.46 TRYING [1]
% 7.96/1.46 TRYING [2]
% 7.96/1.47 TRYING [3]
% 7.96/1.47 TRYING [4]
% 7.96/1.49 TRYING [5]
% 8.66/1.58 TRYING [6]
% 11.62/1.98 TRYING [7]
% 13.11/2.20 TRYING [8]
% 25.17/3.98 TRYING [8]
% 28.77/4.46 TRYING [8]
% 77.73/11.45 TRYING [9]
% 115.17/16.78 TRYING [9]
% 139.97/20.32 TRYING [9]
% 246.77/35.50 % (10438)First to succeed.
% 246.77/35.53 % (10438)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10433"
% 246.77/35.54 % (10438)Refutation found. Thanks to Tanya!
% 246.77/35.54 % SZS status Unsatisfiable for theBenchmark
% 246.77/35.54 % SZS output start Proof for theBenchmark
% See solution above
% 246.77/35.56 % (10438)------------------------------
% 246.77/35.56 % (10438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 246.77/35.56 % (10438)Termination reason: Refutation
% 246.77/35.56
% 246.77/35.56 % (10438)Memory used [KB]: 56734
% 246.77/35.56 % (10438)Time elapsed: 35.164 s
% 246.77/35.56 % (10438)Instructions burned: 93830 (million)
% 246.77/35.56 % (10433)Success in time 34.794 s
%------------------------------------------------------------------------------