TSTP Solution File: LCL208-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL208-3 : 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 : n008.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 : Tue Apr 30 13:40:55 EDT 2024
% Result : Unsatisfiable 67.44s 10.00s
% Output : Refutation 67.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 735
% Syntax : Number of formulae : 2576 ( 22 unt; 0 def)
% Number of atoms : 8306 ( 1 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 10816 (5086 ~;5004 |; 0 &)
% ( 726 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 730 ( 728 usr; 727 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 4924 (4924 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53402,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,f477,f481,f485,f489,f524,f528,f533,f537,f541,f590,f623,f656,f660,f664,f704,f708,f737,f741,f767,f771,f775,f779,f813,f832,f836,f840,f844,f904,f908,f912,f916,f920,f924,f931,f935,f939,f943,f954,f1030,f1034,f1038,f1043,f1047,f1051,f1059,f1060,f1061,f1285,f1639,f1700,f1704,f1804,f1808,f1812,f1816,f1820,f1824,f1833,f1837,f1841,f1845,f1849,f1853,f2064,f2068,f2073,f2077,f2081,f2085,f2089,f2093,f2097,f2101,f2105,f2109,f2113,f2117,f2121,f2125,f2129,f2133,f2287,f2578,f2582,f2586,f2590,f2594,f2598,f2602,f2606,f2610,f2614,f2618,f2622,f2626,f2630,f2634,f2638,f2642,f2646,f2650,f2687,f2691,f2695,f2699,f2703,f2707,f2804,f3290,f3294,f3298,f3302,f3306,f3310,f3314,f3318,f3322,f3326,f3330,f3334,f3338,f3342,f3655,f3840,f3844,f3848,f3852,f3874,f3878,f3882,f3886,f3890,f3894,f3898,f3902,f3906,f3910,f3915,f3919,f4049,f4386,f4390,f4394,f4398,f4402,f4406,f4410,f4414,f4418,f4422,f4426,f4430,f4434,f4438,f4442,f4446,f4450,f4454,f4458,f4462,f4466,f4535,f4850,f5147,f5151,f5155,f5159,f5163,f5167,f5171,f5175,f5179,f5183,f5187,f5191,f5195,f5199,f5203,f5210,f5214,f5218,f5222,f5226,f5230,f5292,f5293,f5294,f5295,f5296,f5297,f5298,f5299,f5300,f5301,f5302,f5303,f5304,f5305,f5306,f5307,f5308,f5309,f5310,f5311,f5312,f5313,f5314,f5315,f5316,f5317,f5318,f5319,f5320,f5321,f5322,f5323,f5324,f5325,f5326,f5327,f5328,f5329,f5330,f5331,f5332,f5333,f5334,f5335,f5336,f5337,f5338,f5339,f5340,f5341,f5342,f5343,f5344,f5345,f5346,f5347,f5348,f5349,f5350,f5351,f5352,f8297,f8312,f8313,f8314,f8315,f8316,f8317,f8318,f8319,f8320,f8321,f8322,f8323,f8797,f11946,f11950,f11954,f11958,f11962,f11966,f11970,f11974,f11978,f12010,f12014,f12018,f12022,f12026,f12030,f12034,f12038,f12042,f12046,f12051,f12055,f12059,f12063,f13502,f13506,f13510,f13514,f13518,f13522,f13526,f13530,f13534,f13538,f13542,f13546,f13550,f13554,f13558,f13562,f13566,f13570,f13574,f13578,f13582,f13586,f13590,f13594,f15562,f15566,f15570,f15574,f15578,f15582,f15586,f15590,f15594,f15598,f15602,f15606,f15610,f16477,f16621,f16625,f16629,f16633,f16637,f16641,f16645,f16649,f16653,f16657,f16661,f16665,f16669,f17170,f17469,f17473,f17477,f17481,f17485,f17489,f17493,f17497,f17936,f17940,f17944,f17948,f17952,f17956,f17960,f17964,f17968,f17972,f17976,f17980,f17984,f18900,f19065,f19069,f19073,f19077,f19081,f19085,f19089,f19232,f19847,f19851,f19855,f19859,f19863,f19867,f20386,f20390,f20394,f20398,f20402,f20848,f20852,f20856,f21115,f21119,f21123,f21291,f21396,f21501,f22157,f22445,f22449,f22453,f22457,f22461,f22465,f22469,f22473,f22477,f22481,f22485,f22489,f22493,f22497,f22501,f22505,f22509,f22513,f22517,f22521,f22525,f22529,f22533,f22537,f22541,f22851,f24042,f24046,f24051,f24055,f24059,f24063,f24067,f24071,f24075,f24079,f24083,f24087,f24091,f24096,f24100,f24104,f24108,f24112,f24116,f24120,f24124,f24128,f24132,f24137,f24141,f24145,f24149,f24153,f24157,f24161,f24165,f24169,f24173,f24177,f24182,f24186,f24190,f25549,f27155,f27159,f27163,f27167,f27172,f27176,f27180,f27184,f27188,f27192,f27196,f27200,f27204,f27208,f27212,f27218,f27222,f27226,f27230,f27234,f27238,f27242,f27246,f27250,f27254,f27260,f27264,f27268,f27272,f27276,f27280,f27284,f27288,f27292,f27296,f27301,f27305,f27309,f27313,f27317,f27321,f27325,f27329,f27333,f27337,f27500,f27653,f27657,f27661,f27665,f27669,f27673,f27677,f27681,f27685,f27689,f27693,f27697,f27701,f27705,f27709,f27713,f27717,f27721,f27725,f27729,f28516,f32183,f33221,f33225,f33229,f33233,f33237,f33241,f33245,f33249,f33253,f33257,f33262,f33266,f33270,f33274,f33278,f33282,f33286,f33290,f33294,f33298,f33302,f33306,f33310,f33314,f33318,f33322,f33326,f33330,f33334,f33338,f33342,f33346,f33350,f33354,f33358,f33362,f33366,f33370,f33374,f33378,f33382,f33386,f33469,f33473,f33477,f33481,f33485,f33489,f33493,f33497,f33501,f33505,f33511,f33515,f33519,f33523,f33527,f33531,f33535,f33539,f33543,f33547,f33551,f33555,f33559,f33563,f33567,f33571,f33575,f33579,f33583,f33587,f33591,f33595,f33599,f33603,f33607,f33611,f33615,f33619,f33623,f33627,f33631,f33635,f33639,f33643,f33647,f34563,f35257,f36031,f38425,f39887,f41588,f42100,f42104,f42108,f42112,f42116,f42120,f42124,f42128,f42132,f42136,f42140,f42144,f42148,f42152,f42156,f42160,f42164,f42168,f42172,f42176,f42180,f42184,f42188,f42192,f42196,f42200,f42204,f42208,f42212,f42216,f42220,f42224,f42228,f42232,f42236,f42240,f42244,f42248,f42252,f42268,f42272,f42276,f42280,f42284,f42288,f42292,f42296,f42300,f42304,f42320,f42324,f42328,f42332,f42336,f42340,f42344,f42348,f42352,f42356,f42361,f42365,f42369,f42373,f42377,f42381,f42385,f42389,f42393,f42397,f42413,f42417,f42421,f42425,f42429,f42433,f42437,f42441,f42445,f42449,f42464,f42468,f42472,f42476,f42480,f42484,f42488,f42492,f42496,f42500,f42556,f42560,f42564,f42568,f42572,f42576,f42580,f42584,f42588,f42592,f42714,f42718,f42722,f42726,f42730,f42734,f42738,f42742,f42746,f42750,f42766,f42770,f42774,f42778,f42782,f42786,f42790,f42794,f42798,f42802,f42818,f42822,f42826,f42830,f42834,f42838,f42842,f42846,f42850,f46264,f48332,f49299,f50026,f51264,f52507,f53401]) ).
fof(f53401,plain,
( ~ spl0_40
| spl0_726 ),
inference(avatar_contradiction_clause,[],[f53398]) ).
fof(f53398,plain,
( $false
| ~ spl0_40
| spl0_726 ),
inference(resolution,[],[f52506,f269]) ).
fof(f269,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl0_40
<=> ! [X0] : theorem(or(X0,not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f52506,plain,
( ~ theorem(or(not(p),not(not(p))))
| spl0_726 ),
inference(avatar_component_clause,[],[f52504]) ).
fof(f52504,plain,
( spl0_726
<=> theorem(or(not(p),not(not(p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f52507,plain,
( ~ spl0_726
| spl0_1
| ~ spl0_683 ),
inference(avatar_split_clause,[],[f52206,f42558,f18,f52504]) ).
fof(f18,plain,
( spl0_1
<=> theorem(or(not(or(p,q)),or(not(not(p)),q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f42558,plain,
( spl0_683
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X2)),or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f52206,plain,
( ~ theorem(or(not(p),not(not(p))))
| spl0_1
| ~ spl0_683 ),
inference(resolution,[],[f42559,f20]) ).
fof(f20,plain,
( ~ theorem(or(not(or(p,q)),or(not(not(p)),q)))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f42559,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),or(X1,X2)))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_683 ),
inference(avatar_component_clause,[],[f42558]) ).
fof(f51264,plain,
( spl0_725
| ~ spl0_95
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2675,f2285,f941,f51262]) ).
fof(f51262,plain,
( spl0_725
<=> ! [X2,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f941,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(f2285,plain,
( spl0_137
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f2675,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| ~ theorem(X1) )
| ~ spl0_95
| ~ spl0_137 ),
inference(resolution,[],[f2286,f942]) ).
fof(f942,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f2286,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| ~ theorem(not(X0)) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f50026,plain,
( spl0_724
| ~ spl0_89
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2651,f2285,f918,f50024]) ).
fof(f50024,plain,
( spl0_724
<=> ! [X0] :
( ~ theorem(not(not(or(X0,X0))))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f918,plain,
( spl0_89
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f2651,plain,
( ! [X0] :
( ~ theorem(not(not(or(X0,X0))))
| ~ theorem(not(X0)) )
| ~ spl0_89
| ~ spl0_137 ),
inference(resolution,[],[f2286,f919]) ).
fof(f919,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f49299,plain,
( spl0_723
| ~ spl0_17
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f2541,f1637,f102,f49297]) ).
fof(f49297,plain,
( spl0_723
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(X1,not(X1)),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
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(f1637,plain,
( spl0_104
<=> ! [X0,X1] : theorem(or(or(X0,not(X0)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f2541,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,not(X1)),X2)))
| ~ spl0_17
| ~ spl0_104 ),
inference(resolution,[],[f1638,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(f1638,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f48332,plain,
( spl0_722
| ~ spl0_67
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1730,f811,f588,f48330]) ).
fof(f48330,plain,
( spl0_722
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X0),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f588,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(f811,plain,
( spl0_80
<=> ! [X0,X1] : theorem(or(X0,or(not(X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1730,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X0),X2))))
| ~ spl0_67
| ~ spl0_80 ),
inference(resolution,[],[f812,f589]) ).
fof(f589,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,[],[f588]) ).
fof(f812,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f46264,plain,
( spl0_721
| ~ spl0_361
| ~ spl0_498 ),
inference(avatar_split_clause,[],[f31156,f28514,f21113,f46262]) ).
fof(f46262,plain,
( spl0_721
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(not(not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f21113,plain,
( spl0_361
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f28514,plain,
( spl0_498
<=> ! [X0] : theorem(or(X0,not(not(not(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f31156,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(not(not(not(not(X0))))) )
| ~ spl0_361
| ~ spl0_498 ),
inference(resolution,[],[f28515,f21114]) ).
fof(f21114,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X0)
| ~ theorem(not(X1)) )
| ~ spl0_361 ),
inference(avatar_component_clause,[],[f21113]) ).
fof(f28515,plain,
( ! [X0] : theorem(or(X0,not(not(not(X0)))))
| ~ spl0_498 ),
inference(avatar_component_clause,[],[f28514]) ).
fof(f42850,plain,
( spl0_720
| ~ spl0_95
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f19305,f19071,f941,f42848]) ).
fof(f42848,plain,
( spl0_720
<=> ! [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_720])]) ).
fof(f19071,plain,
( spl0_341
<=> ! [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_341])]) ).
fof(f19305,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(or(X0,X1)),X2)),or(X3,X2)))
| ~ theorem(X0) )
| ~ spl0_95
| ~ spl0_341 ),
inference(resolution,[],[f19072,f942]) ).
fof(f19072,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_341 ),
inference(avatar_component_clause,[],[f19071]) ).
fof(f42846,plain,
( spl0_719
| ~ spl0_21
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f19002,f17982,f135,f42844]) ).
fof(f42844,plain,
( spl0_719
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(not(X1)),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f135,plain,
( spl0_21
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f17982,plain,
( spl0_337
<=> ! [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_337])]) ).
fof(f19002,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(not(X1)),X0)),X1)) )
| ~ spl0_21
| ~ spl0_337 ),
inference(resolution,[],[f17983,f136]) ).
fof(f136,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f17983,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_337 ),
inference(avatar_component_clause,[],[f17982]) ).
fof(f42842,plain,
( spl0_718
| ~ spl0_74
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f17045,f16639,f735,f42840]) ).
fof(f42840,plain,
( spl0_718
<=> ! [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_718])]) ).
fof(f735,plain,
( spl0_74
<=> ! [X0,X1] : theorem(or(not(X0),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f16639,plain,
( spl0_308
<=> ! [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_308])]) ).
fof(f17045,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(not(X2)) )
| ~ spl0_74
| ~ spl0_308 ),
inference(resolution,[],[f16640,f736]) ).
fof(f736,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f16640,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_308 ),
inference(avatar_component_clause,[],[f16639]) ).
fof(f42838,plain,
( spl0_717
| ~ spl0_105
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f15799,f15576,f1698,f42836]) ).
fof(f42836,plain,
( spl0_717
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X1)),or(X2,X1)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f1698,plain,
( spl0_105
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f15576,plain,
( spl0_293
<=> ! [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_293])]) ).
fof(f15799,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X1)),or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_105
| ~ spl0_293 ),
inference(resolution,[],[f15577,f1699]) ).
fof(f1699,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f15577,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_293 ),
inference(avatar_component_clause,[],[f15576]) ).
fof(f42834,plain,
( spl0_716
| ~ spl0_11
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f15241,f13568,f66,f42832]) ).
fof(f42832,plain,
( spl0_716
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
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(f13568,plain,
( spl0_282
<=> ! [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_282])]) ).
fof(f15241,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_11
| ~ spl0_282 ),
inference(resolution,[],[f13569,f67]) ).
fof(f67,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f13569,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_282 ),
inference(avatar_component_clause,[],[f13568]) ).
fof(f42830,plain,
( spl0_715
| ~ spl0_26
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f15044,f13560,f163,f42828]) ).
fof(f42828,plain,
( spl0_715
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(X1,not(X2)))),or(X0,X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
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(f13560,plain,
( spl0_280
<=> ! [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_280])]) ).
fof(f15044,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(X1,not(X2)))),or(X0,X1)))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_280 ),
inference(resolution,[],[f13561,f164]) ).
fof(f164,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f13561,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_280 ),
inference(avatar_component_clause,[],[f13560]) ).
fof(f42826,plain,
( spl0_714
| ~ spl0_11
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f14999,f13560,f66,f42824]) ).
fof(f42824,plain,
( spl0_714
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(X2,not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f14999,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(X2,not(X1))) )
| ~ spl0_11
| ~ spl0_280 ),
inference(resolution,[],[f13561,f67]) ).
fof(f42822,plain,
( spl0_713
| ~ spl0_75
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f14303,f13516,f739,f42820]) ).
fof(f42820,plain,
( spl0_713
<=> ! [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_713])]) ).
fof(f739,plain,
( spl0_75
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f13516,plain,
( spl0_269
<=> ! [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_269])]) ).
fof(f14303,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,not(not(X3))))))
| ~ theorem(or(X2,X3)) )
| ~ spl0_75
| ~ spl0_269 ),
inference(resolution,[],[f13517,f740]) ).
fof(f740,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f13517,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_269 ),
inference(avatar_component_clause,[],[f13516]) ).
fof(f42818,plain,
( spl0_712
| ~ spl0_26
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f14274,f13516,f163,f42816]) ).
fof(f42816,plain,
( spl0_712
<=> ! [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_712])]) ).
fof(f14274,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X3,X0))) )
| ~ spl0_26
| ~ spl0_269 ),
inference(resolution,[],[f13517,f164]) ).
fof(f42802,plain,
( spl0_711
| ~ spl0_74
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f14224,f13516,f735,f42800]) ).
fof(f42800,plain,
( spl0_711
<=> ! [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_711])]) ).
fof(f14224,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(not(X0)),or(X1,or(X2,X3))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_74
| ~ spl0_269 ),
inference(resolution,[],[f13517,f736]) ).
fof(f42798,plain,
( spl0_710
| ~ spl0_7
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f14084,f13512,f46,f42796]) ).
fof(f42796,plain,
( spl0_710
<=> ! [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_710])]) ).
fof(f46,plain,
( spl0_7
<=> ! [X0,X1] : theorem(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f13512,plain,
( spl0_268
<=> ! [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_268])]) ).
fof(f14084,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,or(X3,X1))))
| ~ theorem(X0) )
| ~ spl0_7
| ~ spl0_268 ),
inference(resolution,[],[f13513,f47]) ).
fof(f47,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f13513,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_268 ),
inference(avatar_component_clause,[],[f13512]) ).
fof(f42794,plain,
( spl0_709
| ~ spl0_75
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f13943,f13508,f739,f42792]) ).
fof(f42792,plain,
( spl0_709
<=> ! [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_709])]) ).
fof(f13508,plain,
( spl0_267
<=> ! [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_267])]) ).
fof(f13943,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(not(not(X2)),X3)) )
| ~ spl0_75
| ~ spl0_267 ),
inference(resolution,[],[f13509,f740]) ).
fof(f13509,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_267 ),
inference(avatar_component_clause,[],[f13508]) ).
fof(f42790,plain,
( spl0_708
| ~ spl0_95
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12231,f5165,f941,f42788]) ).
fof(f42788,plain,
( spl0_708
<=> ! [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_708])]) ).
fof(f5165,plain,
( spl0_224
<=> ! [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_224])]) ).
fof(f12231,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,or(X2,X3))))),X0))
| ~ theorem(X2) )
| ~ spl0_95
| ~ spl0_224 ),
inference(resolution,[],[f5166,f942]) ).
fof(f5166,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(or(X0,not(X1))),X0),X1))
| theorem(or(not(or(X0,not(X1))),X0)) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f5165]) ).
fof(f42786,plain,
( spl0_707
| ~ spl0_175
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5069,f4456,f3332,f42784]) ).
fof(f42784,plain,
( spl0_707
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(or(not(X1),not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f3332,plain,
( spl0_175
<=> ! [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_175])]) ).
fof(f4456,plain,
( spl0_214
<=> ! [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_214])]) ).
fof(f5069,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(or(not(X1),not(X1))) )
| ~ spl0_175
| ~ spl0_214 ),
inference(duplicate_literal_removal,[],[f5065]) ).
fof(f5065,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(X0)
| ~ theorem(or(not(X1),not(X1))) )
| ~ spl0_175
| ~ spl0_214 ),
inference(resolution,[],[f4457,f3333]) ).
fof(f3333,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,not(or(not(X2),X0))))
| ~ theorem(X2)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f3332]) ).
fof(f4457,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(X1)
| theorem(not(or(not(X1),X0))) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f4456]) ).
fof(f42782,plain,
( spl0_706
| ~ spl0_10
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f4961,f4452,f60,f42780]) ).
fof(f42780,plain,
( spl0_706
<=> ! [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_706])]) ).
fof(f60,plain,
( spl0_10
<=> ! [X0] : theorem(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f4452,plain,
( spl0_213
<=> ! [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_213])]) ).
fof(f4961,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X3,X3))) )
| ~ spl0_10
| ~ spl0_213 ),
inference(resolution,[],[f4453,f61]) ).
fof(f61,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f4453,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X1),X4))
| theorem(or(X0,or(X2,or(X3,X4))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f4452]) ).
fof(f42778,plain,
( spl0_705
| ~ spl0_74
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f4959,f4452,f735,f42776]) ).
fof(f42776,plain,
( spl0_705
<=> ! [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_705])]) ).
fof(f4959,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(or(X0,X3)) )
| ~ spl0_74
| ~ spl0_213 ),
inference(resolution,[],[f4453,f736]) ).
fof(f42774,plain,
( spl0_704
| ~ spl0_7
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f4958,f4452,f46,f42772]) ).
fof(f42772,plain,
( spl0_704
<=> ! [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_704])]) ).
fof(f4958,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(or(X0,X4)) )
| ~ spl0_7
| ~ spl0_213 ),
inference(resolution,[],[f4453,f47]) ).
fof(f42770,plain,
( spl0_703
| ~ spl0_84
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f4918,f4444,f842,f42768]) ).
fof(f42768,plain,
( spl0_703
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X0)))))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f842,plain,
( spl0_84
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f4444,plain,
( spl0_211
<=> ! [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_211])]) ).
fof(f4918,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X0)))))
| ~ theorem(or(X1,X2)) )
| ~ spl0_84
| ~ spl0_211 ),
inference(resolution,[],[f4445,f843]) ).
fof(f843,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f4445,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X1),X3)))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f4444]) ).
fof(f42766,plain,
( spl0_702
| ~ spl0_157
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f4824,f4440,f2685,f42764]) ).
fof(f42764,plain,
( spl0_702
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2))
| theorem(X1)
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f2685,plain,
( spl0_157
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f4440,plain,
( spl0_210
<=> ! [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_210])]) ).
fof(f4824,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2))
| theorem(X1)
| ~ theorem(or(X2,X0)) )
| ~ spl0_157
| ~ spl0_210 ),
inference(resolution,[],[f4441,f2686]) ).
fof(f2686,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(X0),X1),or(not(X0),X1)))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f2685]) ).
fof(f4441,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X2,X0)),X1),X3))
| ~ theorem(or(not(X0),X1))
| ~ theorem(not(X2)) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f4440]) ).
fof(f42750,plain,
( spl0_701
| ~ spl0_40
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4773,f4428,f268,f42748]) ).
fof(f42748,plain,
( spl0_701
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(not(not(X2))))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f4428,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(f4773,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(not(not(X2))))),X1)))
| ~ theorem(X2) )
| ~ spl0_40
| ~ spl0_207 ),
inference(resolution,[],[f4429,f269]) ).
fof(f4429,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,[],[f4428]) ).
fof(f42746,plain,
( spl0_700
| ~ spl0_10
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4728,f4428,f60,f42744]) ).
fof(f42744,plain,
( spl0_700
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f4728,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X2,X2)) )
| ~ spl0_10
| ~ spl0_207 ),
inference(resolution,[],[f4429,f61]) ).
fof(f42742,plain,
( spl0_699
| ~ spl0_74
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4726,f4428,f735,f42740]) ).
fof(f42740,plain,
( spl0_699
<=> ! [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_699])]) ).
fof(f4726,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(or(X2,X3)))),X1)))
| ~ theorem(X2) )
| ~ spl0_74
| ~ spl0_207 ),
inference(resolution,[],[f4429,f736]) ).
fof(f42738,plain,
( spl0_698
| ~ spl0_7
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f4725,f4428,f46,f42736]) ).
fof(f42736,plain,
( spl0_698
<=> ! [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_698])]) ).
fof(f4725,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,[],[f4429,f47]) ).
fof(f42734,plain,
( spl0_697
| ~ spl0_77
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f4704,f4424,f769,f42732]) ).
fof(f42732,plain,
( spl0_697
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,X2)))
| ~ theorem(or(X1,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f769,plain,
( spl0_77
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f4424,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(f4704,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| ~ theorem(not(or(X1,X2)))
| ~ theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_77
| ~ spl0_206 ),
inference(resolution,[],[f4425,f770]) ).
fof(f770,plain,
( ! [X0] :
( ~ theorem(or(not(X0),not(X0)))
| ~ theorem(X0) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f4425,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,[],[f4424]) ).
fof(f42730,plain,
( spl0_696
| ~ spl0_94
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f4243,f3908,f937,f42728]) ).
fof(f42728,plain,
( spl0_696
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),X1),not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f937,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(f3908,plain,
( spl0_192
<=> ! [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_192])]) ).
fof(f4243,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),X1),not(X2))) )
| ~ spl0_94
| ~ spl0_192 ),
inference(resolution,[],[f3909,f938]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f3909,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(X0),X2),or(not(X0),X2)))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f3908]) ).
fof(f42726,plain,
( spl0_695
| ~ spl0_48
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f4203,f3904,f314,f42724]) ).
fof(f42724,plain,
( spl0_695
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(or(X1,X1),X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
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(f3904,plain,
( spl0_191
<=> ! [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_191])]) ).
fof(f4203,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(or(X1,X1),X0)),X1)) )
| ~ spl0_48
| ~ spl0_191 ),
inference(resolution,[],[f3905,f315]) ).
fof(f315,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f3905,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(or(X2,X2),X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f3904]) ).
fof(f42722,plain,
( spl0_694
| ~ spl0_48
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f4051,f3888,f314,f42720]) ).
fof(f42720,plain,
( spl0_694
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(or(X0,X1),or(X0,X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f3888,plain,
( spl0_187
<=> ! [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_187])]) ).
fof(f4051,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(or(X0,X1),or(X0,X1))),X1)) )
| ~ spl0_48
| ~ spl0_187 ),
inference(resolution,[],[f3889,f315]) ).
fof(f3889,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X2))
| ~ theorem(not(X0)) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f3888]) ).
fof(f42718,plain,
( spl0_693
| ~ spl0_48
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f4026,f3884,f314,f42716]) ).
fof(f42716,plain,
( spl0_693
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,or(X0,X2))),or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f3884,plain,
( spl0_186
<=> ! [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_186])]) ).
fof(f4026,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,or(X0,X2))),or(X1,X2))) )
| ~ spl0_48
| ~ spl0_186 ),
inference(resolution,[],[f3885,f315]) ).
fof(f3885,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f3884]) ).
fof(f42714,plain,
( spl0_692
| ~ spl0_15
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f4008,f3850,f85,f42712]) ).
fof(f42712,plain,
( spl0_692
<=> ! [X2,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| theorem(not(or(X1,or(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f85,plain,
( spl0_15
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f3850,plain,
( spl0_182
<=> ! [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_182])]) ).
fof(f4008,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X0,or(X1,X2))))
| theorem(not(or(X1,or(X0,X2)))) )
| ~ spl0_15
| ~ spl0_182 ),
inference(resolution,[],[f3851,f86]) ).
fof(f86,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f3851,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),X3))
| ~ theorem(not(or(X1,or(X0,X2)))) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f3850]) ).
fof(f42592,plain,
( spl0_691
| ~ spl0_120
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f3750,f3324,f2066,f42590]) ).
fof(f42590,plain,
( spl0_691
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(or(not(X1),not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f2066,plain,
( spl0_120
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f3324,plain,
( spl0_173
<=> ! [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_173])]) ).
fof(f3750,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(or(not(X1),not(X1))) )
| ~ spl0_120
| ~ spl0_173 ),
inference(resolution,[],[f3325,f2067]) ).
fof(f2067,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,not(X0))))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f3325,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X2,not(or(not(X1),not(X1))))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f42588,plain,
( spl0_690
| ~ spl0_129
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3719,f3320,f2103,f42586]) ).
fof(f42586,plain,
( spl0_690
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,X2),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f2103,plain,
( spl0_129
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f3320,plain,
( spl0_172
<=> ! [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_172])]) ).
fof(f3719,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,X2),or(X0,X2))) )
| ~ spl0_129
| ~ spl0_172 ),
inference(resolution,[],[f3321,f2104]) ).
fof(f2104,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f2103]) ).
fof(f3321,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,or(X3,X1)))
| ~ theorem(X2) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f3320]) ).
fof(f42584,plain,
( spl0_689
| ~ spl0_11
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3582,f3312,f66,f42582]) ).
fof(f42582,plain,
( spl0_689
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f3312,plain,
( spl0_170
<=> ! [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_170])]) ).
fof(f3582,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(or(X2,X1)) )
| ~ spl0_11
| ~ spl0_170 ),
inference(resolution,[],[f3313,f67]) ).
fof(f3313,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,not(X1))),X2))
| ~ theorem(X0) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f3312]) ).
fof(f42580,plain,
( spl0_688
| ~ spl0_105
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f3486,f3308,f1698,f42578]) ).
fof(f42578,plain,
( spl0_688
<=> ! [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_688])]) ).
fof(f3308,plain,
( spl0_169
<=> ! [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_169])]) ).
fof(f3486,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(X1) )
| ~ spl0_105
| ~ spl0_169 ),
inference(resolution,[],[f3309,f1699]) ).
fof(f3309,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X2,or(not(X0),X3)))
| theorem(or(X1,or(X2,X3)))
| ~ theorem(X0) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f3308]) ).
fof(f42576,plain,
( spl0_687
| ~ spl0_111
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3344,f3288,f1818,f42574]) ).
fof(f42574,plain,
( spl0_687
<=> ! [X2,X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,X2)))))
| ~ theorem(not(or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f1818,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(f3288,plain,
( spl0_164
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f3344,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,X2)))))
| ~ theorem(not(or(X2,X1))) )
| ~ spl0_111
| ~ spl0_164 ),
inference(resolution,[],[f3289,f1819]) ).
fof(f1819,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f3289,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X1),not(or(X0,X1))))
| theorem(or(X0,not(or(X0,X1)))) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f3288]) ).
fof(f42572,plain,
( spl0_686
| ~ spl0_16
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3264,f2705,f92,f42570]) ).
fof(f42570,plain,
( spl0_686
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X0,X2)),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f92,plain,
( spl0_16
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f2705,plain,
( spl0_162
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f3264,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X0,X2)),X1),X2)) )
| ~ spl0_16
| ~ spl0_162 ),
inference(resolution,[],[f2706,f93]) ).
fof(f93,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f2706,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f42568,plain,
( spl0_685
| ~ spl0_54
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3258,f2705,f417,f42566]) ).
fof(f42566,plain,
( spl0_685
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,not(or(X0,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
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(f3258,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,not(or(X0,X2))))) )
| ~ spl0_54
| ~ spl0_162 ),
inference(resolution,[],[f2706,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(f42564,plain,
( spl0_684
| ~ spl0_16
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3253,f2701,f92,f42562]) ).
fof(f42562,plain,
( spl0_684
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X0,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f2701,plain,
( spl0_161
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f3253,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X0,X2)))) )
| ~ spl0_16
| ~ spl0_161 ),
inference(resolution,[],[f2702,f93]) ).
fof(f2702,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f2701]) ).
fof(f42560,plain,
( spl0_683
| ~ spl0_54
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3246,f2701,f417,f42558]) ).
fof(f3246,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X2)),or(X1,X2))) )
| ~ spl0_54
| ~ spl0_161 ),
inference(resolution,[],[f2702,f418]) ).
fof(f42556,plain,
( spl0_682
| ~ spl0_118
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3243,f2701,f1851,f42554]) ).
fof(f42554,plain,
( spl0_682
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X1)),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f1851,plain,
( spl0_118
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f3243,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X1)),or(X2,X1))) )
| ~ spl0_118
| ~ spl0_161 ),
inference(resolution,[],[f2702,f1852]) ).
fof(f1852,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f42500,plain,
( spl0_681
| ~ spl0_16
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3224,f2697,f92,f42498]) ).
fof(f42498,plain,
( spl0_681
<=> ! [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_681])]) ).
fof(f2697,plain,
( spl0_160
<=> ! [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_160])]) ).
fof(f3224,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X1,or(X3,X2)),X0)) )
| ~ spl0_16
| ~ spl0_160 ),
inference(resolution,[],[f2698,f93]) ).
fof(f2698,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X1,X3))) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f2697]) ).
fof(f42496,plain,
( spl0_680
| ~ spl0_17
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3217,f2697,f102,f42494]) ).
fof(f42494,plain,
( spl0_680
<=> ! [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_680])]) ).
fof(f3217,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,or(X3,X2)))) )
| ~ spl0_17
| ~ spl0_160 ),
inference(resolution,[],[f2698,f103]) ).
fof(f42492,plain,
( spl0_679
| ~ spl0_54
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3216,f2697,f417,f42490]) ).
fof(f42490,plain,
( spl0_679
<=> ! [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_679])]) ).
fof(f3216,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X3,X2),X1))) )
| ~ spl0_54
| ~ spl0_160 ),
inference(resolution,[],[f2698,f418]) ).
fof(f42488,plain,
( spl0_678
| ~ spl0_50
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f3214,f2697,f322,f42486]) ).
fof(f42486,plain,
( spl0_678
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X2),X2)))
| theorem(or(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
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(f3214,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(or(X1,X2),X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_50
| ~ spl0_160 ),
inference(resolution,[],[f2698,f323]) ).
fof(f323,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f42484,plain,
( spl0_677
| ~ spl0_22
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3168,f2693,f139,f42482]) ).
fof(f42482,plain,
( spl0_677
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(or(not(X0),not(X0)))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f139,plain,
( spl0_22
<=> ! [X0] : theorem(or(X0,not(or(X0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f2693,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f3168,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(or(not(X0),not(X0)))),X1)) )
| ~ spl0_22
| ~ spl0_159 ),
inference(resolution,[],[f2694,f140]) ).
fof(f140,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f2694,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X2),X0))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f2693]) ).
fof(f42480,plain,
( spl0_676
| ~ spl0_47
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3139,f2693,f310,f42478]) ).
fof(f42478,plain,
( spl0_676
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
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(f3139,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(X2)
| ~ theorem(or(not(X0),X2))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_159 ),
inference(resolution,[],[f2694,f311]) ).
fof(f311,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f42476,plain,
( spl0_675
| ~ spl0_16
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3122,f2689,f92,f42474]) ).
fof(f42474,plain,
( spl0_675
<=> ! [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_675])]) ).
fof(f2689,plain,
( spl0_158
<=> ! [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_158])]) ).
fof(f3122,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X3,or(X2,X1)),X0)) )
| ~ spl0_16
| ~ spl0_158 ),
inference(resolution,[],[f2690,f93]) ).
fof(f2690,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X3,or(X2,X1))))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f42472,plain,
( spl0_674
| ~ spl0_17
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3115,f2689,f102,f42470]) ).
fof(f42470,plain,
( spl0_674
<=> ! [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_674])]) ).
fof(f3115,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X3,or(X0,or(X2,X1)))) )
| ~ spl0_17
| ~ spl0_158 ),
inference(resolution,[],[f2690,f103]) ).
fof(f42468,plain,
( spl0_673
| ~ spl0_54
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3114,f2689,f417,f42466]) ).
fof(f42466,plain,
( spl0_673
<=> ! [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_673])]) ).
fof(f3114,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X2,X1),X3))) )
| ~ spl0_54
| ~ spl0_158 ),
inference(resolution,[],[f2690,f418]) ).
fof(f42464,plain,
( spl0_672
| ~ spl0_67
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3110,f2689,f588,f42462]) ).
fof(f42462,plain,
( spl0_672
<=> ! [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_672])]) ).
fof(f3110,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X2,or(X3,X1)))) )
| ~ spl0_67
| ~ spl0_158 ),
inference(resolution,[],[f2690,f589]) ).
fof(f42449,plain,
( spl0_671
| ~ spl0_109
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f3074,f2648,f1810,f42447]) ).
fof(f42447,plain,
( spl0_671
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(not(X1),X0))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f1810,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(f2648,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f3074,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(not(X1),X0))),X0)) )
| ~ spl0_109
| ~ spl0_156 ),
inference(resolution,[],[f2649,f1811]) ).
fof(f1811,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X2,X2),X1))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f2649,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X2),not(or(not(X1),X2))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f2648]) ).
fof(f42445,plain,
( spl0_670
| ~ spl0_16
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f3064,f2644,f92,f42443]) ).
fof(f42443,plain,
( spl0_670
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(not(X1),X2)),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f2644,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f3064,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(not(X1),X2)),X2),X0)) )
| ~ spl0_16
| ~ spl0_155 ),
inference(resolution,[],[f2645,f93]) ).
fof(f2645,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f2644]) ).
fof(f42441,plain,
( spl0_669
| ~ spl0_54
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f3055,f2644,f417,f42439]) ).
fof(f42439,plain,
( spl0_669
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f3055,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),X2))))) )
| ~ spl0_54
| ~ spl0_155 ),
inference(resolution,[],[f2645,f418]) ).
fof(f42437,plain,
( spl0_668
| ~ spl0_16
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f3052,f2640,f92,f42435]) ).
fof(f42435,plain,
( spl0_668
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X0),not(or(not(X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f2640,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f3052,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X0),not(or(not(X1),X2)))) )
| ~ spl0_16
| ~ spl0_154 ),
inference(resolution,[],[f2641,f93]) ).
fof(f2641,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X1),X2)),or(X2,X0)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f2640]) ).
fof(f42433,plain,
( spl0_667
| ~ spl0_17
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f3046,f2640,f102,f42431]) ).
fof(f42431,plain,
( spl0_667
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(not(or(not(X1),X2)),X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f3046,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(not(or(not(X1),X2)),X0))) )
| ~ spl0_17
| ~ spl0_154 ),
inference(resolution,[],[f2641,f103]) ).
fof(f42429,plain,
( spl0_666
| ~ spl0_16
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f3017,f2632,f92,f42427]) ).
fof(f42427,plain,
( spl0_666
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(X2,not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f2632,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f3017,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(X2,not(X1))))) )
| ~ spl0_16
| ~ spl0_152 ),
inference(resolution,[],[f2633,f93]) ).
fof(f2633,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X2,not(X1))),or(X0,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f42425,plain,
( spl0_665
| ~ spl0_54
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f3010,f2632,f417,f42423]) ).
fof(f42423,plain,
( spl0_665
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f3010,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X2,X0))) )
| ~ spl0_54
| ~ spl0_152 ),
inference(resolution,[],[f2633,f418]) ).
fof(f42421,plain,
( spl0_664
| ~ spl0_118
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f3007,f2632,f1851,f42419]) ).
fof(f42419,plain,
( spl0_664
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X0,not(X1))),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f3007,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X0,not(X1))),or(X2,X0))) )
| ~ spl0_118
| ~ spl0_152 ),
inference(resolution,[],[f2633,f1852]) ).
fof(f42417,plain,
( spl0_663
| ~ spl0_16
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f2991,f2628,f92,f42415]) ).
fof(f42415,plain,
( spl0_663
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(X2,not(X1)))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f2628,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f2991,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,not(or(X2,not(X1)))),X0)) )
| ~ spl0_16
| ~ spl0_151 ),
inference(resolution,[],[f2629,f93]) ).
fof(f2629,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X2,not(or(X2,not(X1))))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f2628]) ).
fof(f42413,plain,
( spl0_662
| ~ spl0_17
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f2984,f2628,f102,f42411]) ).
fof(f42411,plain,
( spl0_662
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(or(X2,not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f2984,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(or(X2,not(X1)))))) )
| ~ spl0_17
| ~ spl0_151 ),
inference(resolution,[],[f2629,f103]) ).
fof(f42397,plain,
( spl0_661
| ~ spl0_109
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f2975,f2624,f1810,f42395]) ).
fof(f42395,plain,
( spl0_661
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,not(or(X2,or(not(X0),X2)))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f2624,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f2975,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,not(or(X2,or(not(X0),X2)))),X2)) )
| ~ spl0_109
| ~ spl0_150 ),
inference(resolution,[],[f2625,f1811]) ).
fof(f2625,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2)))))
| ~ theorem(X0) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f2624]) ).
fof(f42393,plain,
( spl0_660
| ~ spl0_16
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2967,f2620,f92,f42391]) ).
fof(f42391,plain,
( spl0_660
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,or(not(X0),X2))),X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f2620,plain,
( spl0_149
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f2967,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,or(not(X0),X2))),X2),X1)) )
| ~ spl0_16
| ~ spl0_149 ),
inference(resolution,[],[f2621,f93]) ).
fof(f2621,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2)))
| ~ theorem(X0) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f42389,plain,
( spl0_659
| ~ spl0_54
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2961,f2620,f417,f42387]) ).
fof(f42387,plain,
( spl0_659
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(X1,or(not(X0),X2)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f2961,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(X1,or(not(X0),X2)))))) )
| ~ spl0_54
| ~ spl0_149 ),
inference(resolution,[],[f2621,f418]) ).
fof(f42385,plain,
( spl0_658
| ~ spl0_16
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2958,f2616,f92,f42383]) ).
fof(f42383,plain,
( spl0_658
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X2,or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f2616,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f2958,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X2,or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_148 ),
inference(resolution,[],[f2617,f93]) ).
fof(f2617,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f2616]) ).
fof(f42381,plain,
( spl0_657
| ~ spl0_17
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2952,f2616,f102,f42379]) ).
fof(f42379,plain,
( spl0_657
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X2,or(not(X0),X1))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f2952,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X2,or(not(X0),X1))),X2))) )
| ~ spl0_17
| ~ spl0_148 ),
inference(resolution,[],[f2617,f103]) ).
fof(f42377,plain,
( spl0_656
| ~ spl0_47
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2876,f2612,f310,f42375]) ).
fof(f42375,plain,
( spl0_656
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,not(X1)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f2612,plain,
( spl0_147
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f2876,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,not(X1)))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_147 ),
inference(resolution,[],[f2613,f311]) ).
fof(f2613,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f2612]) ).
fof(f42373,plain,
( spl0_655
| ~ spl0_16
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2869,f2604,f92,f42371]) ).
fof(f42371,plain,
( spl0_655
<=> ! [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_655])]) ).
fof(f2604,plain,
( spl0_145
<=> ! [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_145])]) ).
fof(f2869,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(X1,X0),or(X3,X2))) )
| ~ spl0_16
| ~ spl0_145 ),
inference(resolution,[],[f2605,f93]) ).
fof(f2605,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f2604]) ).
fof(f42369,plain,
( spl0_654
| ~ spl0_17
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2860,f2604,f102,f42367]) ).
fof(f42367,plain,
( spl0_654
<=> ! [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_654])]) ).
fof(f2860,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X1,or(or(X3,X2),X0))) )
| ~ spl0_17
| ~ spl0_145 ),
inference(resolution,[],[f2605,f103]) ).
fof(f42365,plain,
( spl0_653
| ~ spl0_109
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2854,f2604,f1810,f42363]) ).
fof(f42363,plain,
( spl0_653
<=> ! [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_653])]) ).
fof(f2854,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(X3,or(X1,X0)),X2)) )
| ~ spl0_109
| ~ spl0_145 ),
inference(resolution,[],[f2605,f1811]) ).
fof(f42361,plain,
( spl0_652
| ~ spl0_48
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2853,f2604,f314,f42359]) ).
fof(f42359,plain,
( spl0_652
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),or(X1,X0)))
| theorem(or(X2,or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f2853,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),or(X1,X0)))
| theorem(or(X2,or(X1,X0))) )
| ~ spl0_48
| ~ spl0_145 ),
inference(resolution,[],[f2605,f315]) ).
fof(f42356,plain,
( spl0_651
| ~ spl0_16
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f2846,f2600,f92,f42354]) ).
fof(f42354,plain,
( spl0_651
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X1,not(or(X2,X0))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f2600,plain,
( spl0_144
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f2846,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X1,not(or(X2,X0))),X2)) )
| ~ spl0_16
| ~ spl0_144 ),
inference(resolution,[],[f2601,f93]) ).
fof(f2601,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f42352,plain,
( spl0_650
| ~ spl0_17
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f2842,f2600,f102,f42350]) ).
fof(f42350,plain,
( spl0_650
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,or(X2,not(or(X2,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f2842,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,or(X2,not(or(X2,X0))))) )
| ~ spl0_17
| ~ spl0_144 ),
inference(resolution,[],[f2601,f103]) ).
fof(f42348,plain,
( spl0_649
| ~ spl0_16
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f2836,f2596,f92,f42346]) ).
fof(f42346,plain,
( spl0_649
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(or(X2,X1),not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f2596,plain,
( spl0_143
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f2836,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(or(X2,X1),not(X0))))) )
| ~ spl0_16
| ~ spl0_143 ),
inference(resolution,[],[f2597,f93]) ).
fof(f2597,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f2596]) ).
fof(f42344,plain,
( spl0_648
| ~ spl0_17
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f2830,f2596,f102,f42342]) ).
fof(f42342,plain,
( spl0_648
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X2,X1),not(X0))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f2830,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X2,X1),not(X0))),X2))) )
| ~ spl0_17
| ~ spl0_143 ),
inference(resolution,[],[f2597,f103]) ).
fof(f42340,plain,
( spl0_647
| ~ spl0_16
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2820,f2592,f92,f42338]) ).
fof(f42338,plain,
( spl0_647
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X1,X2),not(or(X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f2592,plain,
( spl0_142
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f2820,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X1,X2),not(or(X2,X0)))) )
| ~ spl0_16
| ~ spl0_142 ),
inference(resolution,[],[f2593,f93]) ).
fof(f2593,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f2592]) ).
fof(f42336,plain,
( spl0_646
| ~ spl0_17
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2814,f2592,f102,f42334]) ).
fof(f42334,plain,
( spl0_646
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f2814,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,or(not(or(X2,X0)),X2))) )
| ~ spl0_17
| ~ spl0_142 ),
inference(resolution,[],[f2593,f103]) ).
fof(f42332,plain,
( spl0_645
| ~ spl0_16
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2792,f2588,f92,f42330]) ).
fof(f42330,plain,
( spl0_645
<=> ! [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_645])]) ).
fof(f2588,plain,
( spl0_141
<=> ! [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_141])]) ).
fof(f2792,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X1,or(X0,X2)),X3)) )
| ~ spl0_16
| ~ spl0_141 ),
inference(resolution,[],[f2589,f93]) ).
fof(f2589,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f2588]) ).
fof(f42328,plain,
( spl0_644
| ~ spl0_17
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2785,f2588,f102,f42326]) ).
fof(f42326,plain,
( spl0_644
<=> ! [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_644])]) ).
fof(f2785,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X3,or(X0,X2)))) )
| ~ spl0_17
| ~ spl0_141 ),
inference(resolution,[],[f2589,f103]) ).
fof(f42324,plain,
( spl0_643
| ~ spl0_16
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2771,f2584,f92,f42322]) ).
fof(f42322,plain,
( spl0_643
<=> ! [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_643])]) ).
fof(f2584,plain,
( spl0_140
<=> ! [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_140])]) ).
fof(f2771,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(or(or(X3,X2),X1),X0)) )
| ~ spl0_16
| ~ spl0_140 ),
inference(resolution,[],[f2585,f93]) ).
fof(f2585,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X3,X2),X1)))
| ~ theorem(or(or(X0,X1),X2)) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f2584]) ).
fof(f42320,plain,
( spl0_642
| ~ spl0_54
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f2762,f2584,f417,f42318]) ).
fof(f42318,plain,
( spl0_642
<=> ! [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_642])]) ).
fof(f2762,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(X1,or(X3,X2)))) )
| ~ spl0_54
| ~ spl0_140 ),
inference(resolution,[],[f2585,f418]) ).
fof(f42304,plain,
( spl0_641
| ~ spl0_16
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2716,f2576,f92,f42302]) ).
fof(f42302,plain,
( spl0_641
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(or(X1,X2),not(X0))),X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f2576,plain,
( spl0_138
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f2716,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(or(X1,X2),not(X0))),X2),X1)) )
| ~ spl0_16
| ~ spl0_138 ),
inference(resolution,[],[f2577,f93]) ).
fof(f2577,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2)))
| ~ theorem(X0) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f2576]) ).
fof(f42300,plain,
( spl0_640
| ~ spl0_54
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2710,f2576,f417,f42298]) ).
fof(f42298,plain,
( spl0_640
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(or(X1,X2),not(X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f2710,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(or(X1,X2),not(X0)))))) )
| ~ spl0_54
| ~ spl0_138 ),
inference(resolution,[],[f2577,f418]) ).
fof(f42296,plain,
( spl0_639
| ~ spl0_133
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2565,f2131,f2119,f42294]) ).
fof(f42294,plain,
( spl0_639
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),X0)),X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f2119,plain,
( spl0_133
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f2131,plain,
( spl0_136
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f2565,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),X0)),X2)))
| ~ theorem(X1) )
| ~ spl0_133
| ~ spl0_136 ),
inference(resolution,[],[f2132,f2120]) ).
fof(f2120,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(not(X0),X2)))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f2132,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f2131]) ).
fof(f42292,plain,
( spl0_638
| ~ spl0_133
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2551,f2127,f2119,f42290]) ).
fof(f42290,plain,
( spl0_638
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),or(X0,X2))),X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f2127,plain,
( spl0_135
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f2551,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),or(X0,X2))),X2)))
| ~ theorem(X1) )
| ~ spl0_133
| ~ spl0_135 ),
inference(resolution,[],[f2128,f2120]) ).
fof(f2128,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f42288,plain,
( spl0_637
| ~ spl0_133
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2527,f2123,f2119,f42286]) ).
fof(f42286,plain,
( spl0_637
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X2)),or(X2,X1)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f2123,plain,
( spl0_134
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f2527,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X2)),or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_133
| ~ spl0_134 ),
inference(resolution,[],[f2124,f2120]) ).
fof(f2124,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f42284,plain,
( spl0_636
| ~ spl0_51
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2381,f2099,f357,f42282]) ).
fof(f42282,plain,
( spl0_636
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X2,X1),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
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(f2099,plain,
( spl0_128
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f2381,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X2,X1),or(X2,X1))) )
| ~ spl0_51
| ~ spl0_128 ),
inference(resolution,[],[f2100,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(f2100,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f42280,plain,
( spl0_635
| ~ spl0_51
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2366,f2095,f357,f42278]) ).
fof(f42278,plain,
( spl0_635
<=> ! [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_635])]) ).
fof(f2095,plain,
( spl0_127
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f2366,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(or(X1,X2),X3)))
| ~ theorem(or(X1,or(X3,X2))) )
| ~ spl0_51
| ~ spl0_127 ),
inference(resolution,[],[f2096,f358]) ).
fof(f2096,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f2095]) ).
fof(f42276,plain,
( spl0_634
| ~ spl0_25
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2358,f2091,f159,f42274]) ).
fof(f42274,plain,
( spl0_634
<=> ! [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_634])]) ).
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(f2091,plain,
( spl0_126
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f2358,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,not(or(X1,X0))),X3)) )
| ~ spl0_25
| ~ spl0_126 ),
inference(resolution,[],[f2092,f160]) ).
fof(f160,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f2092,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X3,X1))
| ~ theorem(not(X3))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f2091]) ).
fof(f42272,plain,
( spl0_633
| ~ spl0_46
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2350,f2091,f300,f42270]) ).
fof(f42270,plain,
( spl0_633
<=> ! [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_633])]) ).
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(f2350,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(not(or(X0,X1)),X0)))
| theorem(or(or(X2,X1),X3)) )
| ~ spl0_46
| ~ spl0_126 ),
inference(resolution,[],[f2092,f301]) ).
fof(f301,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f42268,plain,
( spl0_632
| ~ spl0_84
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2340,f2091,f842,f42266]) ).
fof(f42266,plain,
( spl0_632
<=> ! [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_632])]) ).
fof(f2340,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(X2,not(or(X2,X0)))),X3)) )
| ~ spl0_84
| ~ spl0_126 ),
inference(resolution,[],[f2092,f843]) ).
fof(f42252,plain,
( spl0_631
| ~ spl0_81
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2325,f2091,f830,f42250]) ).
fof(f42250,plain,
( spl0_631
<=> ! [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_631])]) ).
fof(f830,plain,
( spl0_81
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2325,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(not(or(X0,X2)),X2)),X3)) )
| ~ spl0_81
| ~ spl0_126 ),
inference(resolution,[],[f2092,f831]) ).
fof(f831,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f42248,plain,
( spl0_630
| ~ spl0_26
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2321,f2091,f163,f42246]) ).
fof(f42246,plain,
( spl0_630
<=> ! [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_630])]) ).
fof(f2321,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,or(not(or(X2,X0)),X2)),X3)) )
| ~ spl0_26
| ~ spl0_126 ),
inference(resolution,[],[f2092,f164]) ).
fof(f42244,plain,
( spl0_629
| ~ spl0_11
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2299,f2091,f66,f42242]) ).
fof(f42242,plain,
( spl0_629
<=> ! [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_629])]) ).
fof(f2299,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(or(X0,X1))))
| theorem(or(or(X2,or(X1,X0)),X3)) )
| ~ spl0_11
| ~ spl0_126 ),
inference(resolution,[],[f2092,f67]) ).
fof(f42240,plain,
( spl0_628
| ~ spl0_84
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2258,f2079,f842,f42238]) ).
fof(f42238,plain,
( spl0_628
<=> ! [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_628])]) ).
fof(f2079,plain,
( spl0_123
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f2258,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,not(or(X3,not(X0))))))) )
| ~ spl0_84
| ~ spl0_123 ),
inference(resolution,[],[f2080,f843]) ).
fof(f2080,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(X3)
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f42236,plain,
( spl0_627
| ~ spl0_81
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2243,f2079,f830,f42234]) ).
fof(f42234,plain,
( spl0_627
<=> ! [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_627])]) ).
fof(f2243,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(not(or(not(X0),X3)),X3)))) )
| ~ spl0_81
| ~ spl0_123 ),
inference(resolution,[],[f2080,f831]) ).
fof(f42232,plain,
( spl0_626
| ~ spl0_26
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2239,f2079,f163,f42230]) ).
fof(f42230,plain,
( spl0_626
<=> ! [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_626])]) ).
fof(f2239,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(not(or(X3,not(X0))),X3)))) )
| ~ spl0_26
| ~ spl0_123 ),
inference(resolution,[],[f2080,f164]) ).
fof(f42228,plain,
( spl0_625
| ~ spl0_97
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2229,f2079,f1028,f42226]) ).
fof(f42226,plain,
( spl0_625
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X0),or(X0,X0)))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f1028,plain,
( spl0_97
<=> ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f2229,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X0),or(X0,X0)))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_97
| ~ spl0_123 ),
inference(resolution,[],[f2080,f1029]) ).
fof(f1029,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f42224,plain,
( spl0_624
| ~ spl0_105
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2221,f2079,f1698,f42222]) ).
fof(f42222,plain,
( spl0_624
<=> ! [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_624])]) ).
fof(f2221,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,or(X0,or(X4,X1))))) )
| ~ spl0_105
| ~ spl0_123 ),
inference(resolution,[],[f2080,f1699]) ).
fof(f42220,plain,
( spl0_623
| ~ spl0_51
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2196,f2075,f357,f42218]) ).
fof(f42218,plain,
( spl0_623
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(or(X1,X2),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f2075,plain,
( spl0_122
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2196,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(or(X1,X2),X2))) )
| ~ spl0_51
| ~ spl0_122 ),
inference(resolution,[],[f2076,f358]) ).
fof(f2076,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f42216,plain,
( spl0_622
| ~ spl0_46
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2188,f2066,f300,f42214]) ).
fof(f42214,plain,
( spl0_622
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,not(X2)))),X0),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f2188,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,not(X2)))),X0),X1))
| ~ theorem(X2) )
| ~ spl0_46
| ~ spl0_120 ),
inference(resolution,[],[f2067,f301]) ).
fof(f42212,plain,
( spl0_621
| ~ spl0_107
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f27505,f27498,f1802,f42210]) ).
fof(f42210,plain,
( spl0_621
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(not(not(X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f1802,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(f27498,plain,
( spl0_477
<=> ! [X2,X1] :
( theorem(X1)
| ~ theorem(or(not(or(X2,not(X2))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f27505,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(not(not(X0)),X0)) )
| ~ spl0_107
| ~ spl0_477 ),
inference(resolution,[],[f27499,f1803]) ).
fof(f1803,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f27499,plain,
( ! [X2,X1] :
( ~ theorem(or(not(or(X2,not(X2))),X1))
| theorem(X1) )
| ~ spl0_477 ),
inference(avatar_component_clause,[],[f27498]) ).
fof(f42208,plain,
( spl0_620
| ~ spl0_119
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2182,f2066,f2062,f42206]) ).
fof(f42206,plain,
( spl0_620
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,not(X2)))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f2062,plain,
( spl0_119
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2182,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,not(X2)))),X1)))
| ~ theorem(X2) )
| ~ spl0_119
| ~ spl0_120 ),
inference(resolution,[],[f2067,f2063]) ).
fof(f2063,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f2062]) ).
fof(f42204,plain,
( spl0_619
| ~ spl0_6
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2144,f2062,f41,f42202]) ).
fof(f42202,plain,
( spl0_619
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(not(X1),X2))),X0),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
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(f2144,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(not(X1),X2))),X0),X2))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_119 ),
inference(resolution,[],[f2063,f42]) ).
fof(f42,plain,
( ! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f42200,plain,
( spl0_618
| ~ spl0_49
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2059,f1851,f318,f42198]) ).
fof(f42198,plain,
( spl0_618
<=> ! [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_618])]) ).
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(f2059,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X3),X1)) )
| ~ spl0_49
| ~ spl0_118 ),
inference(resolution,[],[f1852,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(f42196,plain,
( spl0_617
| ~ spl0_61
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2031,f1851,f487,f42194]) ).
fof(f42194,plain,
( spl0_617
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f487,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(f2031,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X1,X0)) )
| ~ spl0_61
| ~ spl0_118 ),
inference(resolution,[],[f1852,f488]) ).
fof(f488,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f42192,plain,
( spl0_616
| ~ spl0_47
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2028,f1851,f310,f42190]) ).
fof(f42190,plain,
( spl0_616
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),or(X2,X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f2028,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),or(X2,X0)))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_118 ),
inference(resolution,[],[f1852,f311]) ).
fof(f42188,plain,
( spl0_615
| ~ spl0_58
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2023,f1851,f475,f42186]) ).
fof(f42186,plain,
( spl0_615
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X0))),or(X2,X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f475,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(f2023,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X0))),or(X2,X0)))
| ~ theorem(X1) )
| ~ spl0_58
| ~ spl0_118 ),
inference(resolution,[],[f1852,f476]) ).
fof(f476,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f42184,plain,
( spl0_614
| ~ spl0_19
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2022,f1851,f117,f42182]) ).
fof(f42182,plain,
( spl0_614
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
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(f2022,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_19
| ~ spl0_118 ),
inference(resolution,[],[f1852,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(f42180,plain,
( spl0_613
| ~ spl0_83
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f2001,f1843,f838,f42178]) ).
fof(f42178,plain,
( spl0_613
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f838,plain,
( spl0_83
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1843,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f2001,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X0))))
| ~ theorem(X0) )
| ~ spl0_83
| ~ spl0_116 ),
inference(resolution,[],[f1844,f839]) ).
fof(f839,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,not(X0)))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1844,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X1),X0)),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f42176,plain,
( spl0_612
| ~ spl0_83
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1988,f1839,f838,f42174]) ).
fof(f42174,plain,
( spl0_612
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X1),or(not(X0),not(X1)))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f1839,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1988,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X1),or(not(X0),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_83
| ~ spl0_115 ),
inference(resolution,[],[f1840,f839]) ).
fof(f1840,plain,
( ! [X0,X1] :
( theorem(or(not(or(X1,or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f42172,plain,
( spl0_611
| ~ spl0_17
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1971,f1835,f102,f42170]) ).
fof(f42170,plain,
( spl0_611
<=> ! [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_611])]) ).
fof(f1835,plain,
( spl0_114
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1971,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(or(not(or(X2,X0)),X2),X3))) )
| ~ spl0_17
| ~ spl0_114 ),
inference(resolution,[],[f1836,f103]) ).
fof(f1836,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f42168,plain,
( spl0_610
| ~ spl0_40
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f26492,f24159,f268,f42166]) ).
fof(f42166,plain,
( spl0_610
<=> ! [X0] :
( theorem(not(not(not(not(X0)))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f24159,plain,
( spl0_423
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f26492,plain,
( ! [X0] :
( theorem(not(not(not(not(X0)))))
| ~ theorem(X0) )
| ~ spl0_40
| ~ spl0_423 ),
inference(resolution,[],[f24160,f269]) ).
fof(f24160,plain,
( ! [X0,X1] :
( ~ theorem(or(not(not(not(X0))),X1))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_423 ),
inference(avatar_component_clause,[],[f24159]) ).
fof(f42164,plain,
( spl0_609
| ~ spl0_17
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1958,f1818,f102,f42162]) ).
fof(f42162,plain,
( spl0_609
<=> ! [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_609])]) ).
fof(f1958,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,[],[f1819,f103]) ).
fof(f42160,plain,
( spl0_608
| ~ spl0_109
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1928,f1814,f1810,f42158]) ).
fof(f42158,plain,
( spl0_608
<=> ! [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_608])]) ).
fof(f1814,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(f1928,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,[],[f1815,f1811]) ).
fof(f1815,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f42156,plain,
( spl0_607
| ~ spl0_27
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1913,f1810,f171,f42154]) ).
fof(f42154,plain,
( spl0_607
<=> ! [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_607])]) ).
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(f1913,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,[],[f1811,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(f42152,plain,
( spl0_606
| ~ spl0_94
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1909,f1810,f937,f42150]) ).
fof(f42150,plain,
( spl0_606
<=> ! [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_606])]) ).
fof(f1909,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,[],[f1811,f938]) ).
fof(f42148,plain,
( spl0_605
| ~ spl0_85
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1892,f1810,f902,f42146]) ).
fof(f42146,plain,
( spl0_605
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(or(X1,X1),not(X2)))),X1))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f902,plain,
( spl0_85
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1892,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(or(X1,X1),not(X2)))),X1))
| ~ theorem(X2) )
| ~ spl0_85
| ~ spl0_109 ),
inference(resolution,[],[f1811,f903]) ).
fof(f903,plain,
( ! [X0,X1] :
( theorem(or(X1,not(or(X1,not(X0)))))
| ~ theorem(X0) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f42144,plain,
( spl0_604
| ~ spl0_33
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1886,f1810,f221,f42142]) ).
fof(f42142,plain,
( spl0_604
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(X1,X2))),X1))
| ~ theorem(or(not(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
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(f1886,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(X1,X2))),X1))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_33
| ~ spl0_109 ),
inference(resolution,[],[f1811,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(f42140,plain,
( spl0_603
| ~ spl0_83
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1879,f1806,f838,f42138]) ).
fof(f42138,plain,
( spl0_603
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(or(not(X1),not(X1)),not(X0))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f1806,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(f1879,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(or(not(X1),not(X1)),not(X0))))
| ~ theorem(X1) )
| ~ spl0_83
| ~ spl0_108 ),
inference(resolution,[],[f1807,f839]) ).
fof(f1807,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f42136,plain,
( spl0_602
| ~ spl0_83
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1866,f1802,f838,f42134]) ).
fof(f42134,plain,
( spl0_602
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(not(or(not(X1),X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f1866,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(X1)))
| theorem(not(or(not(X1),X0)))
| ~ theorem(X1) )
| ~ spl0_83
| ~ spl0_107 ),
inference(resolution,[],[f1803,f839]) ).
fof(f42132,plain,
( spl0_601
| ~ spl0_52
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1786,f1698,f361,f42130]) ).
fof(f42130,plain,
( spl0_601
<=> ! [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_601])]) ).
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(f1786,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X0,or(X3,X1)))) )
| ~ spl0_52
| ~ spl0_105 ),
inference(resolution,[],[f1699,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(f42128,plain,
( spl0_600
| ~ spl0_57
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1746,f1036,f450,f42126]) ).
fof(f42126,plain,
( spl0_600
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(not(X2),not(X2)))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
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(f1036,plain,
( spl0_99
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1746,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(not(X2),not(X2)))
| ~ theorem(or(X1,X2)) )
| ~ spl0_57
| ~ spl0_99 ),
inference(resolution,[],[f1037,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(f1037,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,not(X2)))
| theorem(or(X0,X1))
| ~ theorem(X2) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f42124,plain,
( spl0_599
| ~ spl0_40
| ~ spl0_422 ),
inference(avatar_split_clause,[],[f26382,f24155,f268,f42122]) ).
fof(f42122,plain,
( spl0_599
<=> ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f24155,plain,
( spl0_422
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f26382,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(or(X0,X0)) )
| ~ spl0_40
| ~ spl0_422 ),
inference(resolution,[],[f24156,f269]) ).
fof(f24156,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X0,X0)) )
| ~ spl0_422 ),
inference(avatar_component_clause,[],[f24155]) ).
fof(f42120,plain,
( spl0_598
| ~ spl0_52
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1718,f1032,f361,f42118]) ).
fof(f42118,plain,
( spl0_598
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X1))),X0),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f1032,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(f1718,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X1))),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_52
| ~ spl0_98 ),
inference(resolution,[],[f1033,f362]) ).
fof(f1033,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f42116,plain,
( spl0_597
| ~ spl0_52
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1709,f1028,f361,f42114]) ).
fof(f42114,plain,
( spl0_597
<=> ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),or(X0,X0))),X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f1709,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),or(X0,X0))),X1))
| ~ theorem(not(X0)) )
| ~ spl0_52
| ~ spl0_97 ),
inference(resolution,[],[f1029,f362]) ).
fof(f42112,plain,
( spl0_596
| ~ spl0_31
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1707,f1028,f192,f42110]) ).
fof(f42110,plain,
( spl0_596
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X1,X1),or(X1,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
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(f1707,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X1,X1),or(X1,X1)))) )
| ~ spl0_31
| ~ spl0_97 ),
inference(resolution,[],[f1029,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(f42108,plain,
( spl0_595
| ~ spl0_48
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1012,f937,f314,f42106]) ).
fof(f42106,plain,
( spl0_595
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X1))
| theorem(or(X0,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f1012,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X1))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_48
| ~ spl0_94 ),
inference(resolution,[],[f938,f315]) ).
fof(f42104,plain,
( spl0_594
| ~ spl0_67
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f964,f910,f588,f42102]) ).
fof(f42102,plain,
( spl0_594
<=> ! [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_594])]) ).
fof(f910,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(f964,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,[],[f911,f589]) ).
fof(f911,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f42100,plain,
( spl0_593
| ~ spl0_68
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f896,f842,f621,f42098]) ).
fof(f42098,plain,
( spl0_593
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(not(or(X1,X0))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f621,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(f896,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(not(or(X1,X0))),X2)) )
| ~ spl0_68
| ~ spl0_84 ),
inference(resolution,[],[f843,f622]) ).
fof(f622,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,[],[f621]) ).
fof(f41588,plain,
( spl0_592
| ~ spl0_40
| ~ spl0_421 ),
inference(avatar_split_clause,[],[f26202,f24151,f268,f41586]) ).
fof(f41586,plain,
( spl0_592
<=> ! [X0,X1] :
( theorem(not(not(or(X0,X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f24151,plain,
( spl0_421
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X0,X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f26202,plain,
( ! [X0,X1] :
( theorem(not(not(or(X0,X1))))
| ~ theorem(X0) )
| ~ spl0_40
| ~ spl0_421 ),
inference(resolution,[],[f24152,f269]) ).
fof(f24152,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(or(X0,X2)),X1))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_421 ),
inference(avatar_component_clause,[],[f24151]) ).
fof(f39887,plain,
( spl0_591
| ~ spl0_40
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f26023,f24147,f268,f39885]) ).
fof(f39885,plain,
( spl0_591
<=> ! [X0,X1] :
( theorem(not(not(or(X0,X1))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f24147,plain,
( spl0_420
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f26023,plain,
( ! [X0,X1] :
( theorem(not(not(or(X0,X1))))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_420 ),
inference(resolution,[],[f24148,f269]) ).
fof(f24148,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(or(X2,X0)),X1))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f24147]) ).
fof(f38425,plain,
( spl0_590
| ~ spl0_145
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f23343,f22495,f2604,f38423]) ).
fof(f38423,plain,
( spl0_590
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f22495,plain,
( spl0_381
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f23343,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),X0)) )
| ~ spl0_145
| ~ spl0_381 ),
inference(resolution,[],[f22496,f2605]) ).
fof(f22496,plain,
( ! [X0] :
( ~ theorem(or(or(X0,X0),or(X0,X0)))
| theorem(X0) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f22495]) ).
fof(f36031,plain,
( spl0_589
| ~ spl0_6
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f22374,f21499,f41,f36029]) ).
fof(f36029,plain,
( spl0_589
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,not(not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f21499,plain,
( spl0_366
<=> ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f22374,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,not(not(X0)))) )
| ~ spl0_6
| ~ spl0_366 ),
inference(resolution,[],[f21500,f42]) ).
fof(f21500,plain,
( ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0))
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f21499]) ).
fof(f35257,plain,
( spl0_588
| ~ spl0_96
| ~ spl0_361 ),
inference(avatar_split_clause,[],[f22279,f21113,f952,f35255]) ).
fof(f35255,plain,
( spl0_588
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(X1,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f952,plain,
( spl0_96
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f22279,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(X1,not(X0)))) )
| ~ spl0_96
| ~ spl0_361 ),
inference(resolution,[],[f21114,f953]) ).
fof(f953,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f952]) ).
fof(f34563,plain,
( spl0_587
| ~ spl0_80
| ~ spl0_361 ),
inference(avatar_split_clause,[],[f22242,f21113,f811,f34561]) ).
fof(f34561,plain,
( spl0_587
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f22242,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(not(X0),X1))) )
| ~ spl0_80
| ~ spl0_361 ),
inference(resolution,[],[f21114,f812]) ).
fof(f33647,plain,
( spl0_586
| ~ spl0_75
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f21187,f21117,f739,f33645]) ).
fof(f33645,plain,
( spl0_586
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(not(not(X1)),X2)),or(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f21117,plain,
( spl0_362
<=> ! [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_362])]) ).
fof(f21187,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(not(not(X1)),X2)),or(X1,X2))))
| ~ spl0_75
| ~ spl0_362 ),
inference(resolution,[],[f21118,f740]) ).
fof(f21118,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_362 ),
inference(avatar_component_clause,[],[f21117]) ).
fof(f33643,plain,
( spl0_585
| ~ spl0_75
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f20985,f20850,f739,f33641]) ).
fof(f33641,plain,
( spl0_585
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,X2)),or(X1,not(not(X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f20850,plain,
( spl0_359
<=> ! [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_359])]) ).
fof(f20985,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,X2)),or(X1,not(not(X2))))))
| ~ spl0_75
| ~ spl0_359 ),
inference(resolution,[],[f20851,f740]) ).
fof(f20851,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_359 ),
inference(avatar_component_clause,[],[f20850]) ).
fof(f33639,plain,
( spl0_584
| ~ spl0_22
| ~ spl0_361 ),
inference(avatar_split_clause,[],[f22227,f21113,f139,f33637]) ).
fof(f33637,plain,
( spl0_584
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f22227,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_22
| ~ spl0_361 ),
inference(resolution,[],[f21114,f140]) ).
fof(f33635,plain,
( spl0_583
| ~ spl0_75
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f17563,f17467,f739,f33633]) ).
fof(f33633,plain,
( spl0_583
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(X2,not(X2))))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f17467,plain,
( spl0_317
<=> ! [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_317])]) ).
fof(f17563,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(X2,not(X2))))),X1)))
| ~ spl0_75
| ~ spl0_317 ),
inference(resolution,[],[f17468,f740]) ).
fof(f17468,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_317 ),
inference(avatar_component_clause,[],[f17467]) ).
fof(f33631,plain,
( spl0_582
| ~ spl0_23
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f17542,f17467,f143,f33629]) ).
fof(f33629,plain,
( spl0_582
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(not(X2),X2)))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f143,plain,
( spl0_23
<=> ! [X0,X1] : theorem(or(X0,or(not(X1),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f17542,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,not(or(not(X2),X2)))),X1)))
| ~ spl0_23
| ~ spl0_317 ),
inference(resolution,[],[f17468,f144]) ).
fof(f144,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f33627,plain,
( spl0_581
| ~ spl0_7
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f14223,f13516,f46,f33625]) ).
fof(f33625,plain,
( spl0_581
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(X0),or(X1,or(X2,X0))))
| ~ theorem(or(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f14223,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(X0),or(X1,or(X2,X0))))
| ~ theorem(or(X2,X3)) )
| ~ spl0_7
| ~ spl0_269 ),
inference(resolution,[],[f13517,f47]) ).
fof(f33623,plain,
( spl0_580
| ~ spl0_82
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12234,f5165,f834,f33621]) ).
fof(f33621,plain,
( spl0_580
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,not(or(or(not(X1),X1),X2)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f834,plain,
( spl0_82
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f12234,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,not(or(or(not(X1),X1),X2)))),X0))
| ~ spl0_82
| ~ spl0_224 ),
inference(resolution,[],[f5166,f835]) ).
fof(f835,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f33619,plain,
( spl0_579
| ~ spl0_20
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f5127,f4460,f125,f33617]) ).
fof(f33617,plain,
( spl0_579
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f125,plain,
( spl0_20
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f4460,plain,
( spl0_215
<=> ! [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_215])]) ).
fof(f5127,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),X1)),X2))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_215 ),
inference(resolution,[],[f4461,f126]) ).
fof(f126,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f4461,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X1)))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X1)) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f4460]) ).
fof(f33615,plain,
( spl0_578
| ~ spl0_89
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5056,f4456,f918,f33613]) ).
fof(f33613,plain,
( spl0_578
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),or(X1,X1))))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f5056,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),or(X1,X1))))
| ~ theorem(not(X1)) )
| ~ spl0_89
| ~ spl0_214 ),
inference(resolution,[],[f4457,f919]) ).
fof(f33611,plain,
( spl0_577
| ~ spl0_48
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f4538,f4408,f314,f33609]) ).
fof(f33609,plain,
( spl0_577
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X1,X0),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f4408,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(f4538,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X1,X0),X1))),or(X0,X1)))
| ~ spl0_48
| ~ spl0_202 ),
inference(resolution,[],[f4409,f315]) ).
fof(f4409,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,[],[f4408]) ).
fof(f33607,plain,
( spl0_576
| ~ spl0_40
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f4336,f3917,f268,f33605]) ).
fof(f33605,plain,
( spl0_576
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(not(not(X0))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f3917,plain,
( spl0_194
<=> ! [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_194])]) ).
fof(f4336,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(not(not(X0))),X2)) )
| ~ spl0_40
| ~ spl0_194 ),
inference(resolution,[],[f3918,f269]) ).
fof(f3918,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X2),X0))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f3917]) ).
fof(f33603,plain,
( spl0_575
| ~ spl0_10
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f4292,f3917,f60,f33601]) ).
fof(f33601,plain,
( spl0_575
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X2))
| ~ theorem(or(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f4292,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X2))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_10
| ~ spl0_194 ),
inference(resolution,[],[f3918,f61]) ).
fof(f33599,plain,
( spl0_574
| ~ spl0_74
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f4290,f3917,f735,f33597]) ).
fof(f33597,plain,
( spl0_574
<=> ! [X0,X3,X2,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(or(X0,X3)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f4290,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(or(X0,X3)),X2)) )
| ~ spl0_74
| ~ spl0_194 ),
inference(resolution,[],[f3918,f736]) ).
fof(f33595,plain,
( spl0_573
| ~ spl0_74
| ~ spl0_361 ),
inference(avatar_split_clause,[],[f22160,f21113,f735,f33593]) ).
fof(f33593,plain,
( spl0_573
<=> ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f22160,plain,
( ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X0,X1))) )
| ~ spl0_74
| ~ spl0_361 ),
inference(resolution,[],[f21114,f736]) ).
fof(f33591,plain,
( spl0_572
| ~ spl0_7
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f4289,f3917,f46,f33589]) ).
fof(f33589,plain,
( spl0_572
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(or(X3,X0)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f4289,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(not(or(X3,X0)),X2)) )
| ~ spl0_7
| ~ spl0_194 ),
inference(resolution,[],[f3918,f47]) ).
fof(f33587,plain,
( spl0_571
| ~ spl0_49
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f4227,f3908,f318,f33585]) ).
fof(f33585,plain,
( spl0_571
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),X1),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f4227,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(not(X2),X1),X1)) )
| ~ spl0_49
| ~ spl0_192 ),
inference(resolution,[],[f3909,f319]) ).
fof(f33583,plain,
( spl0_570
| ~ spl0_145
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f4221,f3908,f2604,f33581]) ).
fof(f33581,plain,
( spl0_570
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(X1,not(X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f4221,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(or(X1,not(X2)),X1)) )
| ~ spl0_145
| ~ spl0_192 ),
inference(resolution,[],[f3909,f2605]) ).
fof(f33579,plain,
( spl0_569
| ~ spl0_75
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f4191,f3896,f739,f33577]) ).
fof(f33577,plain,
( spl0_569
<=> ! [X0] : theorem(not(or(not(or(X0,not(X0))),not(or(X0,not(X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f3896,plain,
( spl0_189
<=> ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f4191,plain,
( ! [X0] : theorem(not(or(not(or(X0,not(X0))),not(or(X0,not(X0))))))
| ~ spl0_75
| ~ spl0_189 ),
inference(resolution,[],[f3897,f740]) ).
fof(f3897,plain,
( ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f3896]) ).
fof(f33575,plain,
( spl0_568
| ~ spl0_23
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f4174,f3896,f143,f33573]) ).
fof(f33573,plain,
( spl0_568
<=> ! [X0] : theorem(not(or(not(or(not(X0),X0)),not(or(not(X0),X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f4174,plain,
( ! [X0] : theorem(not(or(not(or(not(X0),X0)),not(or(not(X0),X0)))))
| ~ spl0_23
| ~ spl0_189 ),
inference(resolution,[],[f3897,f144]) ).
fof(f33571,plain,
( spl0_567
| ~ spl0_10
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f4074,f3892,f60,f33569]) ).
fof(f33569,plain,
( spl0_567
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f3892,plain,
( spl0_188
<=> ! [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_188])]) ).
fof(f4074,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X1,X1)) )
| ~ spl0_10
| ~ spl0_188 ),
inference(resolution,[],[f3893,f61]) ).
fof(f3893,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(X0) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f3892]) ).
fof(f33567,plain,
( spl0_566
| ~ spl0_157
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f4050,f3888,f2685,f33565]) ).
fof(f33565,plain,
( spl0_566
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(or(or(X0,X1),or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f4050,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(or(or(X0,X1),or(X0,X1))) )
| ~ spl0_157
| ~ spl0_187 ),
inference(resolution,[],[f3889,f2686]) ).
fof(f33563,plain,
( spl0_565
| ~ spl0_157
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f4025,f3884,f2685,f33561]) ).
fof(f33561,plain,
( spl0_565
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f4025,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X0,X2))) )
| ~ spl0_157
| ~ spl0_186 ),
inference(resolution,[],[f3885,f2686]) ).
fof(f33559,plain,
( spl0_564
| ~ spl0_94
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f3531,f3308,f937,f33557]) ).
fof(f33557,plain,
( spl0_564
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(X1,not(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f3531,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(X1,not(X3))) )
| ~ spl0_94
| ~ spl0_169 ),
inference(resolution,[],[f3309,f938]) ).
fof(f33555,plain,
( spl0_563
| ~ spl0_139
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f3466,f3304,f2580,f33553]) ).
fof(f33553,plain,
( spl0_563
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X1,X1),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f2580,plain,
( spl0_139
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f3304,plain,
( spl0_168
<=> ! [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_168])]) ).
fof(f3466,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X1,X1),X1))),or(X0,X1)))
| ~ spl0_139
| ~ spl0_168 ),
inference(resolution,[],[f3305,f2581]) ).
fof(f2581,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f2580]) ).
fof(f3305,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1))
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f3304]) ).
fof(f33551,plain,
( spl0_562
| ~ spl0_7
| ~ spl0_361 ),
inference(avatar_split_clause,[],[f22158,f21113,f46,f33549]) ).
fof(f33549,plain,
( spl0_562
<=> ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f22158,plain,
( ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_7
| ~ spl0_361 ),
inference(resolution,[],[f21114,f47]) ).
fof(f33547,plain,
( spl0_561
| ~ spl0_20
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f3387,f3292,f125,f33545]) ).
fof(f33545,plain,
( spl0_561
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f3292,plain,
( spl0_165
<=> ! [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_165])]) ).
fof(f3387,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_165 ),
inference(resolution,[],[f3293,f126]) ).
fof(f3293,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f33543,plain,
( spl0_560
| ~ spl0_6
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3236,f2701,f41,f33541]) ).
fof(f33541,plain,
( spl0_560
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f3236,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X0,X2)) )
| ~ spl0_6
| ~ spl0_161 ),
inference(resolution,[],[f2702,f42]) ).
fof(f33539,plain,
( spl0_559
| ~ spl0_11
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3147,f2693,f66,f33537]) ).
fof(f33537,plain,
( spl0_559
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X2)
| ~ theorem(or(not(or(X1,X0)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f3147,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X2)
| ~ theorem(or(not(or(X1,X0)),X2)) )
| ~ spl0_11
| ~ spl0_159 ),
inference(resolution,[],[f2694,f67]) ).
fof(f33535,plain,
( spl0_558
| ~ spl0_6
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f2947,f2616,f41,f33533]) ).
fof(f33533,plain,
( spl0_558
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X2,or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f2947,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X2,or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_148 ),
inference(resolution,[],[f2617,f42]) ).
fof(f33531,plain,
( spl0_557
| ~ spl0_40
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2906,f2612,f268,f33529]) ).
fof(f33529,plain,
( spl0_557
<=> ! [X0] :
( theorem(not(or(not(not(not(X0))),not(not(not(X0))))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f2906,plain,
( ! [X0] :
( theorem(not(or(not(not(not(X0))),not(not(not(X0))))))
| ~ theorem(X0) )
| ~ spl0_40
| ~ spl0_147 ),
inference(resolution,[],[f2613,f269]) ).
fof(f33527,plain,
( spl0_556
| ~ spl0_74
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2871,f2612,f735,f33525]) ).
fof(f33525,plain,
( spl0_556
<=> ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f2871,plain,
( ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(X0) )
| ~ spl0_74
| ~ spl0_147 ),
inference(resolution,[],[f2613,f736]) ).
fof(f33523,plain,
( spl0_555
| ~ spl0_7
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2870,f2612,f46,f33521]) ).
fof(f33521,plain,
( spl0_555
<=> ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f2870,plain,
( ! [X0,X1] :
( theorem(not(or(not(or(X0,X1)),not(or(X0,X1)))))
| ~ theorem(X1) )
| ~ spl0_7
| ~ spl0_147 ),
inference(resolution,[],[f2613,f47]) ).
fof(f33519,plain,
( spl0_554
| ~ spl0_6
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f2825,f2596,f41,f33517]) ).
fof(f33517,plain,
( spl0_554
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(X2,X1),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f2825,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(X2,X1),not(X0))) )
| ~ spl0_6
| ~ spl0_143 ),
inference(resolution,[],[f2597,f42]) ).
fof(f33515,plain,
( spl0_553
| ~ spl0_6
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2809,f2592,f41,f33513]) ).
fof(f33513,plain,
( spl0_553
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f2809,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_142 ),
inference(resolution,[],[f2593,f42]) ).
fof(f33511,plain,
( spl0_552
| ~ spl0_106
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2757,f2580,f1702,f33509]) ).
fof(f33509,plain,
( spl0_552
<=> ! [X2,X0,X1,X3] : theorem(or(X0,or(X1,or(X2,or(not(or(X2,X3)),X3))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f1702,plain,
( spl0_106
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f2757,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(X1,or(X2,or(not(or(X2,X3)),X3)))))
| ~ spl0_106
| ~ spl0_139 ),
inference(resolution,[],[f2581,f1703]) ).
fof(f1703,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f33505,plain,
( spl0_551
| ~ spl0_98
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2728,f2580,f1032,f33503]) ).
fof(f33503,plain,
( spl0_551
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X1,X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f2728,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X1,X1))),or(X0,X1)))
| ~ spl0_98
| ~ spl0_139 ),
inference(resolution,[],[f2581,f1033]) ).
fof(f33501,plain,
( spl0_550
| ~ spl0_16
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2568,f2131,f92,f33499]) ).
fof(f33499,plain,
( spl0_550
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(or(X0,X1),X2)),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f2568,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(or(X0,X1),X2)),X1)),X2))
| ~ spl0_16
| ~ spl0_136 ),
inference(resolution,[],[f2132,f93]) ).
fof(f33497,plain,
( spl0_549
| ~ spl0_17
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2564,f2131,f102,f33495]) ).
fof(f33495,plain,
( spl0_549
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,X2),X1)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f2564,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,X2),X1)),X2))))
| ~ spl0_17
| ~ spl0_136 ),
inference(resolution,[],[f2132,f103]) ).
fof(f33493,plain,
( spl0_548
| ~ spl0_54
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2563,f2131,f417,f33491]) ).
fof(f33491,plain,
( spl0_548
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(or(X1,X2),X0)),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f2563,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(or(X1,X2),X0)),X2),X1)))
| ~ spl0_54
| ~ spl0_136 ),
inference(resolution,[],[f2132,f418]) ).
fof(f33489,plain,
( spl0_547
| ~ spl0_16
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2554,f2127,f92,f33487]) ).
fof(f33487,plain,
( spl0_547
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,or(X1,X2))),X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f2554,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,or(X1,X2))),X2)),X1))
| ~ spl0_16
| ~ spl0_135 ),
inference(resolution,[],[f2128,f93]) ).
fof(f33485,plain,
( spl0_546
| ~ spl0_54
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2549,f2127,f417,f33483]) ).
fof(f33483,plain,
( spl0_546
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f2549,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X2),X1)))
| ~ spl0_54
| ~ spl0_135 ),
inference(resolution,[],[f2128,f418]) ).
fof(f33481,plain,
( spl0_545
| ~ spl0_16
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2530,f2123,f92,f33479]) ).
fof(f33479,plain,
( spl0_545
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(or(X0,X2),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f2530,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(or(X0,X2),X1))))
| ~ spl0_16
| ~ spl0_134 ),
inference(resolution,[],[f2124,f93]) ).
fof(f33477,plain,
( spl0_544
| ~ spl0_17
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2526,f2123,f102,f33475]) ).
fof(f33475,plain,
( spl0_544
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),X2)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f2526,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),X2)),or(X2,X1))))
| ~ spl0_17
| ~ spl0_134 ),
inference(resolution,[],[f2124,f103]) ).
fof(f33473,plain,
( spl0_543
| ~ spl0_54
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2525,f2123,f417,f33471]) ).
fof(f33471,plain,
( spl0_543
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(or(X2,X1),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f2525,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(or(X2,X1),X0)))
| ~ spl0_54
| ~ spl0_134 ),
inference(resolution,[],[f2124,f418]) ).
fof(f33469,plain,
( spl0_542
| ~ spl0_50
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2523,f2123,f322,f33467]) ).
fof(f33467,plain,
( spl0_542
<=> ! [X0,X1] : theorem(or(not(or(or(or(X0,X1),X1),X0)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f2523,plain,
( ! [X0,X1] : theorem(or(not(or(or(or(X0,X1),X1),X0)),or(X0,X1)))
| ~ spl0_50
| ~ spl0_134 ),
inference(resolution,[],[f2124,f323]) ).
fof(f33386,plain,
( spl0_541
| ~ spl0_59
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2480,f2119,f479,f33384]) ).
fof(f33384,plain,
( spl0_541
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f479,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(f2480,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_59
| ~ spl0_133 ),
inference(resolution,[],[f2120,f480]) ).
fof(f480,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f33382,plain,
( spl0_540
| ~ spl0_16
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2430,f2111,f92,f33380]) ).
fof(f33380,plain,
( spl0_540
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X2,or(X1,X0))),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f2111,plain,
( spl0_131
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f2430,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X2,or(X1,X0))),X2)))
| ~ spl0_16
| ~ spl0_131 ),
inference(resolution,[],[f2112,f93]) ).
fof(f2112,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f33378,plain,
( spl0_539
| ~ spl0_17
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2425,f2111,f102,f33376]) ).
fof(f33376,plain,
( spl0_539
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X2,X0))),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f2425,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X2,X0))),X1),X2)))
| ~ spl0_17
| ~ spl0_131 ),
inference(resolution,[],[f2112,f103]) ).
fof(f33374,plain,
( spl0_538
| ~ spl0_48
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2420,f2111,f314,f33372]) ).
fof(f33372,plain,
( spl0_538
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X1,X0))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f2420,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X1,X0))),or(X0,X1)))
| ~ spl0_48
| ~ spl0_131 ),
inference(resolution,[],[f2112,f315]) ).
fof(f33370,plain,
( spl0_537
| ~ spl0_16
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2413,f2107,f92,f33368]) ).
fof(f33368,plain,
( spl0_537
<=> ! [X2,X0,X1] : theorem(or(or(or(X0,X1),not(or(X0,or(X2,X1)))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f2107,plain,
( spl0_130
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f2413,plain,
( ! [X2,X0,X1] : theorem(or(or(or(X0,X1),not(or(X0,or(X2,X1)))),X2))
| ~ spl0_16
| ~ spl0_130 ),
inference(resolution,[],[f2108,f93]) ).
fof(f2108,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f33366,plain,
( spl0_536
| ~ spl0_17
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2410,f2107,f102,f33364]) ).
fof(f33364,plain,
( spl0_536
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(X2,not(or(X0,or(X2,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f2410,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(X2,not(or(X0,or(X2,X1))))))
| ~ spl0_17
| ~ spl0_130 ),
inference(resolution,[],[f2108,f103]) ).
fof(f33362,plain,
( spl0_535
| ~ spl0_16
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2400,f2103,f92,f33360]) ).
fof(f33360,plain,
( spl0_535
<=> ! [X0,X1] : theorem(or(or(X0,not(or(or(X1,X0),or(X1,X0)))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f2400,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(or(X1,X0),or(X1,X0)))),X1))
| ~ spl0_16
| ~ spl0_129 ),
inference(resolution,[],[f2104,f93]) ).
fof(f33358,plain,
( spl0_534
| ~ spl0_17
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2397,f2103,f102,f33356]) ).
fof(f33356,plain,
( spl0_534
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X1,X0),or(X1,X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f2397,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X1,X0),or(X1,X0))))))
| ~ spl0_17
| ~ spl0_129 ),
inference(resolution,[],[f2104,f103]) ).
fof(f33354,plain,
( spl0_533
| ~ spl0_16
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2393,f2099,f92,f33352]) ).
fof(f33352,plain,
( spl0_533
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(or(X1,X0),or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f2393,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(or(X1,X0),or(X1,X0)))))
| ~ spl0_16
| ~ spl0_128 ),
inference(resolution,[],[f2100,f93]) ).
fof(f33350,plain,
( spl0_532
| ~ spl0_17
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2388,f2099,f102,f33348]) ).
fof(f33348,plain,
( spl0_532
<=> ! [X0,X1] : theorem(or(X0,or(not(or(or(X1,X0),or(X1,X0))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f2388,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X1,X0),or(X1,X0))),X1)))
| ~ spl0_17
| ~ spl0_128 ),
inference(resolution,[],[f2100,f103]) ).
fof(f33346,plain,
( spl0_531
| ~ spl0_16
| ~ spl0_498 ),
inference(avatar_split_clause,[],[f31159,f28514,f92,f33344]) ).
fof(f33344,plain,
( spl0_531
<=> ! [X0] : theorem(or(not(not(not(X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f31159,plain,
( ! [X0] : theorem(or(not(not(not(X0))),X0))
| ~ spl0_16
| ~ spl0_498 ),
inference(resolution,[],[f28515,f93]) ).
fof(f33342,plain,
( spl0_530
| ~ spl0_16
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2378,f2095,f92,f33340]) ).
fof(f33340,plain,
( spl0_530
<=> ! [X2,X0,X1] : theorem(or(or(or(X0,X1),X2),not(or(X0,or(X2,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f2378,plain,
( ! [X2,X0,X1] : theorem(or(or(or(X0,X1),X2),not(or(X0,or(X2,X1)))))
| ~ spl0_16
| ~ spl0_127 ),
inference(resolution,[],[f2096,f93]) ).
fof(f33338,plain,
( spl0_529
| ~ spl0_17
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2373,f2095,f102,f33336]) ).
fof(f33336,plain,
( spl0_529
<=> ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X0,or(X2,X1))),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f2373,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,X1),or(not(or(X0,or(X2,X1))),X2)))
| ~ spl0_17
| ~ spl0_127 ),
inference(resolution,[],[f2096,f103]) ).
fof(f33334,plain,
( spl0_528
| ~ spl0_78
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2271,f2083,f773,f33332]) ).
fof(f33332,plain,
( spl0_528
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(or(X2,not(or(X0,not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f773,plain,
( spl0_78
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f2083,plain,
( spl0_124
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f2271,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(or(X2,not(or(X0,not(X1))))) )
| ~ spl0_78
| ~ spl0_124 ),
inference(resolution,[],[f2084,f774]) ).
fof(f774,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f2084,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f2083]) ).
fof(f33330,plain,
( spl0_527
| ~ spl0_22
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2233,f2079,f139,f33328]) ).
fof(f33328,plain,
( spl0_527
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(not(X0),not(X0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f2233,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(or(not(X0),not(X0)))))) )
| ~ spl0_22
| ~ spl0_123 ),
inference(resolution,[],[f2080,f140]) ).
fof(f33326,plain,
( spl0_526
| ~ spl0_47
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2214,f2079,f310,f33324]) ).
fof(f33324,plain,
( spl0_526
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f2214,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(or(X2,or(X3,X0)))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_123 ),
inference(resolution,[],[f2080,f311]) ).
fof(f33322,plain,
( spl0_525
| ~ spl0_16
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2207,f2075,f92,f33320]) ).
fof(f33320,plain,
( spl0_525
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(X0,or(or(X0,X1),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f2207,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X0,or(or(X0,X1),X1)))))
| ~ spl0_16
| ~ spl0_122 ),
inference(resolution,[],[f2076,f93]) ).
fof(f33318,plain,
( spl0_524
| ~ spl0_17
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2203,f2075,f102,f33316]) ).
fof(f33316,plain,
( spl0_524
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,or(or(X0,X1),X1))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f2203,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,or(or(X0,X1),X1))),X1)))
| ~ spl0_17
| ~ spl0_122 ),
inference(resolution,[],[f2076,f103]) ).
fof(f33314,plain,
( spl0_523
| ~ spl0_54
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2202,f2075,f417,f33312]) ).
fof(f33312,plain,
( spl0_523
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f2202,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X1,X0)))
| ~ spl0_54
| ~ spl0_122 ),
inference(resolution,[],[f2076,f418]) ).
fof(f33310,plain,
( spl0_522
| ~ spl0_118
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2199,f2075,f1851,f33308]) ).
fof(f33308,plain,
( spl0_522
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X0),X0))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f2199,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X0),X0))),or(X1,X0)))
| ~ spl0_118
| ~ spl0_122 ),
inference(resolution,[],[f2076,f1852]) ).
fof(f33306,plain,
( spl0_521
| ~ spl0_16
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2139,f2062,f92,f33304]) ).
fof(f33304,plain,
( spl0_521
<=> ! [X2,X0,X1] : theorem(or(or(or(not(or(X0,or(X1,X2))),X0),X2),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f2139,plain,
( ! [X2,X0,X1] : theorem(or(or(or(not(or(X0,or(X1,X2))),X0),X2),X1))
| ~ spl0_16
| ~ spl0_119 ),
inference(resolution,[],[f2063,f93]) ).
fof(f33302,plain,
( spl0_520
| ~ spl0_54
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2135,f2062,f417,f33300]) ).
fof(f33300,plain,
( spl0_520
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X2,or(X0,X1))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f2135,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X2,or(X0,X1))),X2))))
| ~ spl0_54
| ~ spl0_119 ),
inference(resolution,[],[f2063,f418]) ).
fof(f33298,plain,
( spl0_519
| ~ spl0_46
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2054,f1851,f300,f33296]) ).
fof(f33296,plain,
( spl0_519
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f2054,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),or(X2,X1)))
| ~ spl0_46
| ~ spl0_118 ),
inference(resolution,[],[f1852,f301]) ).
fof(f33294,plain,
( spl0_518
| ~ spl0_10
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2025,f1851,f60,f33292]) ).
fof(f33292,plain,
( spl0_518
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X0),or(X0,X0))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f2025,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X0),or(X0,X0))),or(X1,X0)))
| ~ spl0_10
| ~ spl0_118 ),
inference(resolution,[],[f1852,f61]) ).
fof(f33290,plain,
( spl0_517
| ~ spl0_105
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2024,f1851,f1698,f33288]) ).
fof(f33288,plain,
( spl0_517
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X2,or(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f2024,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X2,or(X0,X1))))
| ~ spl0_105
| ~ spl0_118 ),
inference(resolution,[],[f1852,f1699]) ).
fof(f33286,plain,
( spl0_516
| ~ spl0_51
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1977,f1839,f357,f33284]) ).
fof(f33284,plain,
( spl0_516
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X2,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f1977,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X2,or(not(X0),X2))) )
| ~ spl0_51
| ~ spl0_115 ),
inference(resolution,[],[f1840,f358]) ).
fof(f33282,plain,
( spl0_515
| ~ spl0_106
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1917,f1810,f1702,f33280]) ).
fof(f33280,plain,
( spl0_515
<=> ! [X2,X0,X1,X3] : theorem(or(or(X0,or(X1,or(not(or(X1,X2)),X2))),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f1917,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(X0,or(X1,or(not(or(X1,X2)),X2))),X3))
| ~ spl0_106
| ~ spl0_109 ),
inference(resolution,[],[f1811,f1703]) ).
fof(f33278,plain,
( spl0_514
| ~ spl0_84
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1915,f1810,f842,f33276]) ).
fof(f33276,plain,
( spl0_514
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(or(X1,or(X2,X2))))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f1915,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(or(X1,or(X2,X2))))),X2))
| ~ spl0_84
| ~ spl0_109 ),
inference(resolution,[],[f1811,f843]) ).
fof(f33274,plain,
( spl0_513
| ~ spl0_81
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1900,f1810,f830,f33272]) ).
fof(f33272,plain,
( spl0_513
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(or(X1,X1),X2)),X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
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,[],[f1811,f831]) ).
fof(f33270,plain,
( spl0_512
| ~ spl0_26
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1897,f1810,f163,f33268]) ).
fof(f33268,plain,
( spl0_512
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X1,or(X2,X2))),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
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,[],[f1811,f164]) ).
fof(f33266,plain,
( spl0_511
| ~ spl0_101
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1893,f1810,f1045,f33264]) ).
fof(f33264,plain,
( spl0_511
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,not(or(not(X1),not(X1)))),X2))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f1045,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,[],[f1811,f1046]) ).
fof(f1046,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f33262,plain,
( ~ spl0_510
| ~ spl0_20
| spl0_499 ),
inference(avatar_split_clause,[],[f33216,f32180,f125,f33259]) ).
fof(f33259,plain,
( spl0_510
<=> theorem(not(p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f32180,plain,
( spl0_499
<=> theorem(or(not(p),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f33216,plain,
( ~ theorem(not(p))
| ~ spl0_20
| spl0_499 ),
inference(resolution,[],[f32182,f126]) ).
fof(f32182,plain,
( ~ theorem(or(not(p),q))
| spl0_499 ),
inference(avatar_component_clause,[],[f32180]) ).
fof(f33257,plain,
( spl0_509
| ~ spl0_22
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1891,f1810,f139,f33255]) ).
fof(f33255,plain,
( spl0_509
<=> ! [X0,X1] : theorem(or(or(X0,not(or(or(X1,X1),or(X1,X1)))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f1891,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(or(X1,X1),or(X1,X1)))),X1))
| ~ spl0_22
| ~ spl0_109 ),
inference(resolution,[],[f1811,f140]) ).
fof(f33253,plain,
( spl0_508
| ~ spl0_51
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1868,f1806,f357,f33251]) ).
fof(f33251,plain,
( spl0_508
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(X2,X2),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f1868,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(X2,X2),not(X0))) )
| ~ spl0_51
| ~ spl0_108 ),
inference(resolution,[],[f1807,f358]) ).
fof(f33249,plain,
( spl0_507
| ~ spl0_51
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1855,f1802,f357,f33247]) ).
fof(f33247,plain,
( spl0_507
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f1855,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X1,X0)) )
| ~ spl0_51
| ~ spl0_107 ),
inference(resolution,[],[f1803,f358]) ).
fof(f33245,plain,
( spl0_506
| ~ spl0_83
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1725,f1032,f838,f33243]) ).
fof(f33243,plain,
( spl0_506
<=> ! [X0,X1] :
( theorem(or(not(or(X0,or(not(X1),not(X1)))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f1725,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,or(not(X1),not(X1)))),X0))
| ~ theorem(X1) )
| ~ spl0_83
| ~ spl0_98 ),
inference(resolution,[],[f1033,f839]) ).
fof(f33241,plain,
( spl0_505
| ~ spl0_52
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1010,f937,f361,f33239]) ).
fof(f33239,plain,
( spl0_505
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f1010,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(X1,X3))) )
| ~ spl0_52
| ~ spl0_94 ),
inference(resolution,[],[f938,f362]) ).
fof(f33237,plain,
( spl0_504
| ~ spl0_51
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1000,f937,f357,f33235]) ).
fof(f33235,plain,
( spl0_504
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f1000,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(X1,X3)))
| ~ theorem(X0) )
| ~ spl0_51
| ~ spl0_94 ),
inference(resolution,[],[f938,f358]) ).
fof(f33233,plain,
( spl0_503
| ~ spl0_31
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f973,f918,f192,f33231]) ).
fof(f33231,plain,
( spl0_503
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X0,X0))) )
| ~ spl0_31
| ~ spl0_89 ),
inference(resolution,[],[f919,f193]) ).
fof(f33229,plain,
( spl0_502
| ~ spl0_52
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f949,f902,f361,f33227]) ).
fof(f33227,plain,
( spl0_502
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(not(not(or(X1,not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f949,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(not(not(or(X1,not(X0))))) )
| ~ spl0_52
| ~ spl0_85 ),
inference(resolution,[],[f903,f362]) ).
fof(f33225,plain,
( spl0_501
| ~ spl0_51
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f945,f902,f357,f33223]) ).
fof(f33223,plain,
( spl0_501
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(not(X2),not(X0)))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f945,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(not(X2),not(X0)))))
| ~ theorem(X2) )
| ~ spl0_51
| ~ spl0_85 ),
inference(resolution,[],[f903,f358]) ).
fof(f33221,plain,
( spl0_500
| ~ spl0_67
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f852,f830,f588,f33219]) ).
fof(f33219,plain,
( spl0_500
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,or(X1,X2))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f852,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,or(X1,X2))),X2))))
| ~ spl0_67
| ~ spl0_81 ),
inference(resolution,[],[f831,f589]) ).
fof(f32183,plain,
( ~ spl0_499
| spl0_38
| ~ spl0_478 ),
inference(avatar_split_clause,[],[f31339,f27651,f253,f32180]) ).
fof(f253,plain,
( spl0_38
<=> theorem(or(not(or(p,q)),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f27651,plain,
( spl0_478
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X1)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f31339,plain,
( ~ theorem(or(not(p),q))
| spl0_38
| ~ spl0_478 ),
inference(resolution,[],[f27652,f255]) ).
fof(f255,plain,
( ~ theorem(or(not(or(p,q)),q))
| spl0_38 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f27652,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X1))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_478 ),
inference(avatar_component_clause,[],[f27651]) ).
fof(f28516,plain,
( spl0_498
| ~ spl0_429
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f27511,f27498,f24184,f28514]) ).
fof(f24184,plain,
( spl0_429
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f27511,plain,
( ! [X0] : theorem(or(X0,not(not(not(X0)))))
| ~ spl0_429
| ~ spl0_477 ),
inference(resolution,[],[f27499,f24185]) ).
fof(f24185,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f24184]) ).
fof(f27729,plain,
( spl0_497
| ~ spl0_427
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f27357,f27335,f24175,f27727]) ).
fof(f27727,plain,
( spl0_497
<=> ! [X0] : theorem(not(not(or(X0,not(X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f24175,plain,
( spl0_427
<=> ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f27335,plain,
( spl0_476
<=> ! [X2,X1] :
( theorem(X1)
| ~ theorem(or(not(or(not(X2),X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f27357,plain,
( ! [X0] : theorem(not(not(or(X0,not(X0)))))
| ~ spl0_427
| ~ spl0_476 ),
inference(resolution,[],[f27336,f24176]) ).
fof(f24176,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0))
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f24175]) ).
fof(f27336,plain,
( ! [X2,X1] :
( ~ theorem(or(not(or(not(X2),X2)),X1))
| theorem(X1) )
| ~ spl0_476 ),
inference(avatar_component_clause,[],[f27335]) ).
fof(f27725,plain,
( spl0_496
| ~ spl0_74
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f14990,f13560,f735,f27723]) ).
fof(f27723,plain,
( spl0_496
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f14990,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(not(X1)) )
| ~ spl0_74
| ~ spl0_280 ),
inference(resolution,[],[f13561,f736]) ).
fof(f27721,plain,
( spl0_495
| ~ spl0_105
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f12311,f5177,f1698,f27719]) ).
fof(f27719,plain,
( spl0_495
<=> ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X1)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f5177,plain,
( spl0_227
<=> ! [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_227])]) ).
fof(f12311,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),X1)),X1))
| ~ theorem(X0) )
| ~ spl0_105
| ~ spl0_227 ),
inference(resolution,[],[f5178,f1699]) ).
fof(f5178,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(or(not(X0),X2),or(not(X0),X2))))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f5177]) ).
fof(f27717,plain,
( spl0_494
| ~ spl0_49
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12192,f5165,f318,f27715]) ).
fof(f27715,plain,
( spl0_494
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f12192,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X0)) )
| ~ spl0_49
| ~ spl0_224 ),
inference(resolution,[],[f5166,f319]) ).
fof(f27713,plain,
( spl0_493
| ~ spl0_39
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f5073,f4460,f260,f27711]) ).
fof(f27711,plain,
( spl0_493
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(X1,X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f260,plain,
( spl0_39
<=> ! [X0] : theorem(or(not(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f5073,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),or(X1,X1))),X1)) )
| ~ spl0_39
| ~ spl0_215 ),
inference(resolution,[],[f4461,f261]) ).
fof(f261,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f27709,plain,
( spl0_492
| ~ spl0_26
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f4889,f4444,f163,f27707]) ).
fof(f27707,plain,
( spl0_492
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f4889,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X2,X0))) )
| ~ spl0_26
| ~ spl0_211 ),
inference(resolution,[],[f4445,f164]) ).
fof(f27705,plain,
( spl0_491
| ~ spl0_74
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f4852,f4444,f735,f27703]) ).
fof(f27703,plain,
( spl0_491
<=> ! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X1,X2)))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f4852,plain,
( ! [X2,X0,X1] :
( theorem(or(not(not(X0)),or(X1,X2)))
| ~ theorem(or(X1,X0)) )
| ~ spl0_74
| ~ spl0_211 ),
inference(resolution,[],[f4445,f736]) ).
fof(f27701,plain,
( spl0_490
| ~ spl0_81
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3708,f3320,f830,f27699]) ).
fof(f27699,plain,
( spl0_490
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,not(X2))))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f3708,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,not(X2))))))
| ~ theorem(X2) )
| ~ spl0_81
| ~ spl0_172 ),
inference(resolution,[],[f3321,f831]) ).
fof(f27697,plain,
( spl0_489
| ~ spl0_26
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3703,f3320,f163,f27695]) ).
fof(f27695,plain,
( spl0_489
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X0)))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f3703,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X0)))))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_172 ),
inference(resolution,[],[f3321,f164]) ).
fof(f27693,plain,
( spl0_488
| ~ spl0_40
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3610,f3312,f268,f27691]) ).
fof(f27691,plain,
( spl0_488
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(not(not(X1))))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f3610,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(not(not(X1))))),X0))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_170 ),
inference(resolution,[],[f3313,f269]) ).
fof(f27689,plain,
( spl0_487
| ~ spl0_10
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3571,f3312,f60,f27687]) ).
fof(f27687,plain,
( spl0_487
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f3571,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(or(X1,X1)) )
| ~ spl0_10
| ~ spl0_170 ),
inference(resolution,[],[f3313,f61]) ).
fof(f27685,plain,
( spl0_486
| ~ spl0_426
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f27356,f27335,f24171,f27683]) ).
fof(f27683,plain,
( spl0_486
<=> ! [X0] : theorem(not(not(or(not(X0),X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f24171,plain,
( spl0_426
<=> ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f27356,plain,
( ! [X0] : theorem(not(not(or(not(X0),X0))))
| ~ spl0_426
| ~ spl0_476 ),
inference(resolution,[],[f27336,f24172]) ).
fof(f24172,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0))
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f24171]) ).
fof(f27681,plain,
( spl0_485
| ~ spl0_74
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3569,f3312,f735,f27679]) ).
fof(f27679,plain,
( spl0_485
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f3569,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(X1) )
| ~ spl0_74
| ~ spl0_170 ),
inference(resolution,[],[f3313,f736]) ).
fof(f27677,plain,
( spl0_484
| ~ spl0_7
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3568,f3312,f46,f27675]) ).
fof(f27675,plain,
( spl0_484
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f3568,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(or(X1,X2)))),X0))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_170 ),
inference(resolution,[],[f3313,f47]) ).
fof(f27673,plain,
( spl0_483
| ~ spl0_84
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f3537,f3308,f842,f27671]) ).
fof(f27671,plain,
( spl0_483
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X1)))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f3537,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(not(X2),X1)))))
| ~ theorem(X2) )
| ~ spl0_84
| ~ spl0_169 ),
inference(resolution,[],[f3309,f843]) ).
fof(f27669,plain,
( spl0_482
| ~ spl0_40
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f3393,f3292,f268,f27667]) ).
fof(f27667,plain,
( spl0_482
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f3393,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,not(not(X1))))) )
| ~ spl0_40
| ~ spl0_165 ),
inference(resolution,[],[f3293,f269]) ).
fof(f27665,plain,
( spl0_481
| ~ spl0_10
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f3356,f3292,f60,f27663]) ).
fof(f27663,plain,
( spl0_481
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X2,or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f3356,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X2,or(X0,X1))) )
| ~ spl0_10
| ~ spl0_165 ),
inference(resolution,[],[f3293,f61]) ).
fof(f27661,plain,
( spl0_480
| ~ spl0_74
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f3354,f3292,f735,f27659]) ).
fof(f27659,plain,
( spl0_480
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f3354,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X1,X3)))) )
| ~ spl0_74
| ~ spl0_165 ),
inference(resolution,[],[f3293,f736]) ).
fof(f27657,plain,
( spl0_479
| ~ spl0_89
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3343,f3288,f918,f27655]) ).
fof(f27655,plain,
( spl0_479
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,X1)))))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f3343,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,or(X1,X1)))))
| ~ theorem(not(X1)) )
| ~ spl0_89
| ~ spl0_164 ),
inference(resolution,[],[f3289,f919]) ).
fof(f27653,plain,
( spl0_478
| ~ spl0_50
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3244,f2701,f322,f27651]) ).
fof(f3244,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X0,X1)),X1)) )
| ~ spl0_50
| ~ spl0_161 ),
inference(resolution,[],[f2702,f323]) ).
fof(f27500,plain,
( spl0_477
| spl0_234
| ~ spl0_75
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3195,f2693,f739,f5205,f27498]) ).
fof(f5205,plain,
( spl0_234
<=> ! [X1] : ~ theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f3195,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,not(X2))),X1)) )
| ~ spl0_75
| ~ spl0_159 ),
inference(resolution,[],[f2694,f740]) ).
fof(f27337,plain,
( spl0_476
| spl0_234
| ~ spl0_23
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3173,f2693,f143,f5205,f27335]) ).
fof(f3173,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(not(X2),X2)),X1)) )
| ~ spl0_23
| ~ spl0_159 ),
inference(resolution,[],[f2694,f144]) ).
fof(f27333,plain,
( spl0_475
| ~ spl0_94
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3097,f2685,f937,f27331]) ).
fof(f27331,plain,
( spl0_475
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f3097,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),not(X1))) )
| ~ spl0_94
| ~ spl0_157 ),
inference(resolution,[],[f2686,f938]) ).
fof(f27329,plain,
( spl0_474
| ~ spl0_50
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f3008,f2632,f322,f27327]) ).
fof(f27327,plain,
( spl0_474
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X0,not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f3008,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X0,not(X1))),X0)) )
| ~ spl0_50
| ~ spl0_152 ),
inference(resolution,[],[f2633,f323]) ).
fof(f27325,plain,
( spl0_473
| ~ spl0_78
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2865,f2604,f773,f27323]) ).
fof(f27323,plain,
( spl0_473
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f2865,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X1,X0))) )
| ~ spl0_78
| ~ spl0_145 ),
inference(resolution,[],[f2605,f774]) ).
fof(f27321,plain,
( spl0_472
| ~ spl0_95
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2756,f2580,f941,f27319]) ).
fof(f27319,plain,
( spl0_472
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f2756,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(X0,or(X1,or(X2,or(X3,X4)))))
| ~ theorem(X3) )
| ~ spl0_95
| ~ spl0_139 ),
inference(resolution,[],[f2581,f942]) ).
fof(f27317,plain,
( spl0_471
| ~ spl0_49
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2731,f2580,f318,f27315]) ).
fof(f27315,plain,
( spl0_471
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,or(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f2731,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,or(X1,X2))) )
| ~ spl0_49
| ~ spl0_139 ),
inference(resolution,[],[f2581,f319]) ).
fof(f27313,plain,
( spl0_470
| ~ spl0_6
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2520,f2123,f41,f27311]) ).
fof(f27311,plain,
( spl0_470
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f2520,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,X2),X1)) )
| ~ spl0_6
| ~ spl0_134 ),
inference(resolution,[],[f2124,f42]) ).
fof(f27309,plain,
( spl0_469
| ~ spl0_105
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2457,f2119,f1698,f27307]) ).
fof(f27307,plain,
( spl0_469
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f2457,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(X0) )
| ~ spl0_105
| ~ spl0_133 ),
inference(resolution,[],[f2120,f1699]) ).
fof(f27305,plain,
( spl0_468
| ~ spl0_6
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2383,f2099,f41,f27303]) ).
fof(f27303,plain,
( spl0_468
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X1,X0),or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f2383,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X1,X0),or(X1,X0))) )
| ~ spl0_6
| ~ spl0_128 ),
inference(resolution,[],[f2100,f42]) ).
fof(f27301,plain,
( ~ spl0_467
| spl0_1
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f23102,f22479,f18,f27298]) ).
fof(f27298,plain,
( spl0_467
<=> theorem(or(not(not(p)),not(or(p,q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f22479,plain,
( spl0_377
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f23102,plain,
( ~ theorem(or(not(not(p)),not(or(p,q))))
| spl0_1
| ~ spl0_377 ),
inference(resolution,[],[f22480,f20]) ).
fof(f22480,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f22479]) ).
fof(f27296,plain,
( spl0_466
| ~ spl0_6
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2368,f2095,f41,f27294]) ).
fof(f27294,plain,
( spl0_466
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f2368,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X0,or(X2,X1))) )
| ~ spl0_6
| ~ spl0_127 ),
inference(resolution,[],[f2096,f42]) ).
fof(f27292,plain,
( spl0_465
| ~ spl0_21
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2357,f2091,f135,f27290]) ).
fof(f27290,plain,
( spl0_465
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,not(X1)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f2357,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(or(X2,not(X1)),X3)) )
| ~ spl0_21
| ~ spl0_126 ),
inference(resolution,[],[f2092,f136]) ).
fof(f27288,plain,
( spl0_464
| ~ spl0_22
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2315,f2091,f139,f27286]) ).
fof(f27286,plain,
( spl0_464
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,not(or(X0,X0))),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f2315,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(or(X1,not(or(X0,X0))),X2)) )
| ~ spl0_22
| ~ spl0_126 ),
inference(resolution,[],[f2092,f140]) ).
fof(f27284,plain,
( spl0_463
| ~ spl0_10
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2292,f2091,f60,f27282]) ).
fof(f27282,plain,
( spl0_463
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(or(X0,X0))))
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f2292,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(or(X0,X0))))
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_10
| ~ spl0_126 ),
inference(resolution,[],[f2092,f61]) ).
fof(f27280,plain,
( spl0_462
| ~ spl0_74
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2290,f2091,f735,f27278]) ).
fof(f27278,plain,
( spl0_462
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(not(X0)))
| theorem(or(or(X1,or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f2290,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(or(X1,or(X0,X2)),X3)) )
| ~ spl0_74
| ~ spl0_126 ),
inference(resolution,[],[f2092,f736]) ).
fof(f27276,plain,
( spl0_461
| ~ spl0_7
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2289,f2091,f46,f27274]) ).
fof(f27274,plain,
( spl0_461
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(not(X0)))
| theorem(or(or(X1,or(X2,X0)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f2289,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(or(X1,or(X2,X0)),X3)) )
| ~ spl0_7
| ~ spl0_126 ),
inference(resolution,[],[f2092,f47]) ).
fof(f27272,plain,
( spl0_460
| ~ spl0_11
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2217,f2079,f66,f27270]) ).
fof(f27270,plain,
( spl0_460
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f2217,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X3,or(X1,X0)))) )
| ~ spl0_11
| ~ spl0_123 ),
inference(resolution,[],[f2080,f67]) ).
fof(f27268,plain,
( spl0_459
| ~ spl0_6
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2198,f2075,f41,f27266]) ).
fof(f27266,plain,
( spl0_459
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X0,X1),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f2198,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(or(X0,X1),X1))) )
| ~ spl0_6
| ~ spl0_122 ),
inference(resolution,[],[f2076,f42]) ).
fof(f27264,plain,
( spl0_458
| ~ spl0_16
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2010,f1847,f92,f27262]) ).
fof(f27262,plain,
( spl0_458
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,or(X3,X1)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f1847,plain,
( spl0_117
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2010,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,or(X3,X1)),X0)) )
| ~ spl0_16
| ~ spl0_117 ),
inference(resolution,[],[f1848,f93]) ).
fof(f1848,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X2,or(X3,X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f27260,plain,
( spl0_457
| ~ spl0_54
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2004,f1847,f417,f27258]) ).
fof(f27258,plain,
( spl0_457
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X1),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f2004,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X1),X3))) )
| ~ spl0_54
| ~ spl0_117 ),
inference(resolution,[],[f1848,f418]) ).
fof(f27254,plain,
( spl0_456
| ~ spl0_16
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1994,f1843,f92,f27252]) ).
fof(f27252,plain,
( spl0_456
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(or(not(X1),X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f1994,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,not(or(not(X1),X0)))) )
| ~ spl0_16
| ~ spl0_116 ),
inference(resolution,[],[f1844,f93]) ).
fof(f27250,plain,
( spl0_455
| ~ spl0_16
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1981,f1839,f92,f27248]) ).
fof(f27248,plain,
( spl0_455
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f1981,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_115 ),
inference(resolution,[],[f1840,f93]) ).
fof(f27246,plain,
( spl0_454
| ~ spl0_78
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1965,f1835,f773,f27244]) ).
fof(f27244,plain,
( spl0_454
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f1965,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X2,X0)),X2))) )
| ~ spl0_78
| ~ spl0_114 ),
inference(resolution,[],[f1836,f774]) ).
fof(f27242,plain,
( spl0_453
| ~ spl0_78
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1952,f1818,f773,f27240]) ).
fof(f27240,plain,
( spl0_453
<=> ! [X2,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(X2,not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f1952,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(or(X2,not(or(X1,X0)))) )
| ~ spl0_78
| ~ spl0_111 ),
inference(resolution,[],[f1819,f774]) ).
fof(f27238,plain,
( spl0_452
| ~ spl0_16
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1926,f1814,f92,f27236]) ).
fof(f27236,plain,
( spl0_452
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,not(X0))),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f1926,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(not(or(X1,not(X0))),X1),X2)) )
| ~ spl0_16
| ~ spl0_110 ),
inference(resolution,[],[f1815,f93]) ).
fof(f27234,plain,
( spl0_451
| ~ spl0_17
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1921,f1814,f102,f27232]) ).
fof(f27232,plain,
( spl0_451
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,not(X0))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f1921,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,not(X0))),or(X2,X1))) )
| ~ spl0_17
| ~ spl0_110 ),
inference(resolution,[],[f1815,f103]) ).
fof(f27230,plain,
( spl0_450
| ~ spl0_95
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1916,f1810,f941,f27228]) ).
fof(f27228,plain,
( spl0_450
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,or(X2,X3))),X4))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f1916,plain,
( ! [X2,X3,X0,X1,X4] :
( theorem(or(or(X0,or(X1,or(X2,X3))),X4))
| ~ theorem(X2) )
| ~ spl0_95
| ~ spl0_109 ),
inference(resolution,[],[f1811,f942]) ).
fof(f27226,plain,
( spl0_449
| ~ spl0_87
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1910,f1810,f910,f27224]) ).
fof(f27224,plain,
( spl0_449
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f1910,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(or(X2,X1)) )
| ~ spl0_87
| ~ spl0_109 ),
inference(resolution,[],[f1811,f911]) ).
fof(f27222,plain,
( spl0_448
| ~ spl0_16
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1872,f1806,f92,f27220]) ).
fof(f27220,plain,
( spl0_448
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(X1,X1),not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f1872,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(X1,X1),not(X0))))) )
| ~ spl0_16
| ~ spl0_108 ),
inference(resolution,[],[f1807,f93]) ).
fof(f27218,plain,
( spl0_447
| ~ spl0_16
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1859,f1802,f92,f27216]) ).
fof(f27216,plain,
( spl0_447
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f1859,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,not(or(X1,X0)))) )
| ~ spl0_16
| ~ spl0_107 ),
inference(resolution,[],[f1803,f93]) ).
fof(f27212,plain,
( spl0_446
| ~ spl0_51
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1706,f1028,f357,f27210]) ).
fof(f27210,plain,
( spl0_446
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X1,X1),or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f1706,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X1,X1),or(X1,X1))) )
| ~ spl0_51
| ~ spl0_97 ),
inference(resolution,[],[f1029,f358]) ).
fof(f27208,plain,
( spl0_445
| ~ spl0_78
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1008,f937,f773,f27206]) ).
fof(f27206,plain,
( spl0_445
<=> ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f1008,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X2,or(X0,X1))) )
| ~ spl0_78
| ~ spl0_94 ),
inference(resolution,[],[f938,f774]) ).
fof(f27204,plain,
( spl0_444
| ~ spl0_17
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f994,f933,f102,f27202]) ).
fof(f27202,plain,
( spl0_444
<=> ! [X2,X0,X1,X3] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(or(X2,X0),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f933,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(f994,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(or(X2,X0),X3))) )
| ~ spl0_17
| ~ spl0_93 ),
inference(resolution,[],[f934,f103]) ).
fof(f934,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f27200,plain,
( spl0_443
| ~ spl0_17
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f982,f918,f102,f27198]) ).
fof(f27198,plain,
( spl0_443
<=> ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X0,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f982,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,or(not(or(X0,X0)),X2))) )
| ~ spl0_17
| ~ spl0_89 ),
inference(resolution,[],[f919,f103]) ).
fof(f27196,plain,
( spl0_442
| ~ spl0_52
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f899,f842,f361,f27194]) ).
fof(f27194,plain,
( spl0_442
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,not(or(X2,X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f899,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,not(or(X2,X0))))) )
| ~ spl0_52
| ~ spl0_84 ),
inference(resolution,[],[f843,f362]) ).
fof(f27192,plain,
( spl0_441
| ~ spl0_51
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f893,f842,f357,f27190]) ).
fof(f27190,plain,
( spl0_441
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X1,not(X2))))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f893,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X1,not(X2))))))
| ~ theorem(X2) )
| ~ spl0_51
| ~ spl0_84 ),
inference(resolution,[],[f843,f358]) ).
fof(f27188,plain,
( spl0_440
| ~ spl0_57
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f875,f838,f450,f27186]) ).
fof(f27186,plain,
( spl0_440
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(not(X1),not(X1)))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f875,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(not(X1),not(X1)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_57
| ~ spl0_83 ),
inference(resolution,[],[f839,f451]) ).
fof(f27184,plain,
( spl0_439
| ~ spl0_52
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f853,f830,f361,f27182]) ).
fof(f27182,plain,
( spl0_439
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X0,X2)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f853,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X0,X2)),X2))) )
| ~ spl0_52
| ~ spl0_81 ),
inference(resolution,[],[f831,f362]) ).
fof(f27180,plain,
( spl0_438
| ~ spl0_51
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f846,f830,f357,f27178]) ).
fof(f27178,plain,
( spl0_438
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f846,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X2)))
| ~ theorem(X1) )
| ~ spl0_51
| ~ spl0_81 ),
inference(resolution,[],[f831,f358]) ).
fof(f27176,plain,
( spl0_437
| ~ spl0_67
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f823,f777,f588,f27174]) ).
fof(f27174,plain,
( spl0_437
<=> ! [X2,X0,X1,X3] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f777,plain,
( spl0_79
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f823,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,or(X3,X1)))) )
| ~ spl0_67
| ~ spl0_79 ),
inference(resolution,[],[f778,f589]) ).
fof(f778,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f27172,plain,
( ~ spl0_436
| ~ spl0_107
| spl0_417 ),
inference(avatar_split_clause,[],[f24785,f24134,f1802,f27169]) ).
fof(f27169,plain,
( spl0_436
<=> theorem(or(not(q),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f24134,plain,
( spl0_417
<=> theorem(or(not(or(p,q)),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f24785,plain,
( ~ theorem(or(not(q),p))
| ~ spl0_107
| spl0_417 ),
inference(resolution,[],[f24136,f1803]) ).
fof(f24136,plain,
( ~ theorem(or(not(or(p,q)),p))
| spl0_417 ),
inference(avatar_component_clause,[],[f24134]) ).
fof(f27167,plain,
( spl0_435
| ~ spl0_27
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f805,f773,f171,f27165]) ).
fof(f27165,plain,
( spl0_435
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X1,X2),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f805,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X1,X2),X2)) )
| ~ spl0_27
| ~ spl0_78 ),
inference(resolution,[],[f774,f172]) ).
fof(f27163,plain,
( spl0_434
| ~ spl0_68
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f757,f739,f621,f27161]) ).
fof(f27161,plain,
( spl0_434
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(not(X1)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f757,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(not(X1)),X2)) )
| ~ spl0_68
| ~ spl0_75 ),
inference(resolution,[],[f740,f622]) ).
fof(f27159,plain,
( spl0_433
| ~ spl0_63
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f742,f735,f526,f27157]) ).
fof(f27157,plain,
( spl0_433
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X1,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
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(f742,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X1,X3)))) )
| ~ spl0_63
| ~ spl0_74 ),
inference(resolution,[],[f736,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(f27155,plain,
( spl0_432
| ~ spl0_40
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f566,f526,f268,f27153]) ).
fof(f27153,plain,
( spl0_432
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(not(X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
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(f25549,plain,
( ~ spl0_431
| ~ spl0_385
| spl0_417 ),
inference(avatar_split_clause,[],[f24784,f24134,f22511,f25546]) ).
fof(f25546,plain,
( spl0_431
<=> theorem(not(q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f22511,plain,
( spl0_385
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f24784,plain,
( ~ theorem(not(q))
| ~ spl0_385
| spl0_417 ),
inference(resolution,[],[f24136,f22512]) ).
fof(f22512,plain,
( ! [X0,X1] :
( theorem(or(not(or(X1,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f22511]) ).
fof(f24190,plain,
( spl0_430
| ~ spl0_75
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f19296,f19071,f739,f24188]) ).
fof(f24188,plain,
( spl0_430
<=> ! [X0,X1] : theorem(or(not(or(not(not(X0)),X1)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f19296,plain,
( ! [X0,X1] : theorem(or(not(or(not(not(X0)),X1)),or(X0,X1)))
| ~ spl0_75
| ~ spl0_341 ),
inference(resolution,[],[f19072,f740]) ).
fof(f24186,plain,
( spl0_429
| ~ spl0_75
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f18376,f17954,f739,f24184]) ).
fof(f17954,plain,
( spl0_330
<=> ! [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_330])]) ).
fof(f18376,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_75
| ~ spl0_330 ),
inference(resolution,[],[f17955,f740]) ).
fof(f17955,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_330 ),
inference(avatar_component_clause,[],[f17954]) ).
fof(f24182,plain,
( ~ spl0_428
| spl0_1
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f22800,f22459,f18,f24179]) ).
fof(f24179,plain,
( spl0_428
<=> theorem(or(q,not(or(p,q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f22459,plain,
( spl0_372
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f22800,plain,
( ~ theorem(or(q,not(or(p,q))))
| spl0_1
| ~ spl0_372 ),
inference(resolution,[],[f22460,f20]) ).
fof(f22460,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f22459]) ).
fof(f24177,plain,
( spl0_427
| ~ spl0_75
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12224,f5165,f739,f24175]) ).
fof(f12224,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0))
| ~ spl0_75
| ~ spl0_224 ),
inference(resolution,[],[f5166,f740]) ).
fof(f24173,plain,
( spl0_426
| ~ spl0_23
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12205,f5165,f143,f24171]) ).
fof(f12205,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0))
| ~ spl0_23
| ~ spl0_224 ),
inference(resolution,[],[f5166,f144]) ).
fof(f24169,plain,
( spl0_425
| ~ spl0_20
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5067,f4456,f125,f24167]) ).
fof(f24167,plain,
( spl0_425
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f5067,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_214 ),
inference(resolution,[],[f4457,f126]) ).
fof(f24165,plain,
( spl0_424
| ~ spl0_114
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f4228,f3908,f1835,f24163]) ).
fof(f24163,plain,
( spl0_424
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f4228,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) )
| ~ spl0_114
| ~ spl0_192 ),
inference(resolution,[],[f3909,f1836]) ).
fof(f24161,plain,
( spl0_423
| ~ spl0_40
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3172,f2693,f268,f24159]) ).
fof(f3172,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(not(X0))),X1)) )
| ~ spl0_40
| ~ spl0_159 ),
inference(resolution,[],[f2694,f269]) ).
fof(f24157,plain,
( spl0_422
| ~ spl0_10
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3136,f2693,f60,f24155]) ).
fof(f3136,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_10
| ~ spl0_159 ),
inference(resolution,[],[f2694,f61]) ).
fof(f24153,plain,
( spl0_421
| ~ spl0_74
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3134,f2693,f735,f24151]) ).
fof(f3134,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X0,X2)),X1)) )
| ~ spl0_74
| ~ spl0_159 ),
inference(resolution,[],[f2694,f736]) ).
fof(f24149,plain,
( spl0_420
| ~ spl0_7
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3133,f2693,f46,f24147]) ).
fof(f3133,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X0)),X1)) )
| ~ spl0_7
| ~ spl0_159 ),
inference(resolution,[],[f2694,f47]) ).
fof(f24145,plain,
( spl0_419
| ~ spl0_49
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3085,f2685,f318,f24143]) ).
fof(f24143,plain,
( spl0_419
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f3085,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),X0)) )
| ~ spl0_49
| ~ spl0_157 ),
inference(resolution,[],[f2686,f319]) ).
fof(f24141,plain,
( spl0_418
| ~ spl0_145
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3080,f2685,f2604,f24139]) ).
fof(f24139,plain,
( spl0_418
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(X0,not(X1)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f3080,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(X0,not(X1)),X0)) )
| ~ spl0_145
| ~ spl0_157 ),
inference(resolution,[],[f2686,f2605]) ).
fof(f24137,plain,
( ~ spl0_417
| spl0_103
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f22565,f22443,f1282,f24134]) ).
fof(f1282,plain,
( spl0_103
<=> theorem(or(not(or(p,q)),not(not(p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f22443,plain,
( spl0_368
<=> ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f22565,plain,
( ~ theorem(or(not(or(p,q)),p))
| spl0_103
| ~ spl0_368 ),
inference(resolution,[],[f22444,f1284]) ).
fof(f1284,plain,
( ~ theorem(or(not(or(p,q)),not(not(p))))
| spl0_103 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f22444,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f22443]) ).
fof(f24132,plain,
( spl0_416
| ~ spl0_10
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2873,f2612,f60,f24130]) ).
fof(f24130,plain,
( spl0_416
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f2873,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X0)) )
| ~ spl0_10
| ~ spl0_147 ),
inference(resolution,[],[f2613,f61]) ).
fof(f24128,plain,
( spl0_415
| ~ spl0_55
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2725,f2580,f442,f24126]) ).
fof(f24126,plain,
( spl0_415
<=> ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
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(f2725,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1)))
| ~ spl0_55
| ~ spl0_139 ),
inference(resolution,[],[f2581,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(f24124,plain,
( spl0_414
| ~ spl0_15
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2272,f2083,f85,f24122]) ).
fof(f24122,plain,
( spl0_414
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(not(or(X0,not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f2272,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(not(or(X0,not(X1)))) )
| ~ spl0_15
| ~ spl0_124 ),
inference(resolution,[],[f2084,f86]) ).
fof(f24120,plain,
( spl0_413
| ~ spl0_50
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2200,f2075,f322,f24118]) ).
fof(f24118,plain,
( spl0_413
<=> ! [X0] : theorem(or(not(or(X0,or(or(X0,X0),X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f2200,plain,
( ! [X0] : theorem(or(not(or(X0,or(or(X0,X0),X0))),X0))
| ~ spl0_50
| ~ spl0_122 ),
inference(resolution,[],[f2076,f323]) ).
fof(f24116,plain,
( spl0_412
| ~ spl0_27
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2180,f2066,f171,f24114]) ).
fof(f24114,plain,
( spl0_412
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f2180,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,not(X2))) )
| ~ spl0_27
| ~ spl0_120 ),
inference(resolution,[],[f2067,f172]) ).
fof(f24112,plain,
( spl0_411
| ~ spl0_6
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1979,f1839,f41,f24110]) ).
fof(f24110,plain,
( spl0_411
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f1979,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_115 ),
inference(resolution,[],[f1840,f42]) ).
fof(f24108,plain,
( spl0_410
| ~ spl0_82
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1918,f1810,f834,f24106]) ).
fof(f24106,plain,
( spl0_410
<=> ! [X2,X0,X1,X3] : theorem(or(or(X0,or(or(not(X1),X1),X2)),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f1918,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(X0,or(or(not(X1),X1),X2)),X3))
| ~ spl0_82
| ~ spl0_109 ),
inference(resolution,[],[f1811,f835]) ).
fof(f24104,plain,
( spl0_409
| ~ spl0_6
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1870,f1806,f41,f24102]) ).
fof(f24102,plain,
( spl0_409
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(X1,X1),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f1870,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(X1,X1),not(X0))) )
| ~ spl0_6
| ~ spl0_108 ),
inference(resolution,[],[f1807,f42]) ).
fof(f24100,plain,
( spl0_408
| ~ spl0_6
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1857,f1802,f41,f24098]) ).
fof(f24098,plain,
( spl0_408
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f1857,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_107 ),
inference(resolution,[],[f1803,f42]) ).
fof(f24096,plain,
( spl0_407
| ~ spl0_16
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1795,f1702,f92,f24094]) ).
fof(f24094,plain,
( spl0_407
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f1795,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X1)),X2))
| ~ spl0_16
| ~ spl0_106 ),
inference(resolution,[],[f1703,f93]) ).
fof(f24091,plain,
( spl0_406
| ~ spl0_17
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1791,f1702,f102,f24089]) ).
fof(f24089,plain,
( spl0_406
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f1791,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,X2)),X2))))
| ~ spl0_17
| ~ spl0_106 ),
inference(resolution,[],[f1703,f103]) ).
fof(f24087,plain,
( spl0_405
| ~ spl0_54
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1790,f1702,f417,f24085]) ).
fof(f24085,plain,
( spl0_405
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,X2)),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1790,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,X2)),X2),X1)))
| ~ spl0_54
| ~ spl0_106 ),
inference(resolution,[],[f1703,f418]) ).
fof(f24083,plain,
( spl0_404
| ~ spl0_16
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1787,f1698,f92,f24081]) ).
fof(f24081,plain,
( spl0_404
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1787,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X2))))
| ~ spl0_16
| ~ spl0_105 ),
inference(resolution,[],[f1699,f93]) ).
fof(f24079,plain,
( spl0_403
| ~ spl0_50
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1785,f1698,f322,f24077]) ).
fof(f24077,plain,
( spl0_403
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1785,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1)))
| ~ spl0_50
| ~ spl0_105 ),
inference(resolution,[],[f1699,f323]) ).
fof(f24075,plain,
( spl0_402
| ~ spl0_17
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1784,f1698,f102,f24073]) ).
fof(f24073,plain,
( spl0_402
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1784,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(X2,X1))))
| ~ spl0_17
| ~ spl0_105 ),
inference(resolution,[],[f1699,f103]) ).
fof(f24071,plain,
( spl0_401
| ~ spl0_54
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1783,f1698,f417,f24069]) ).
fof(f24069,plain,
( spl0_401
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1783,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0)))
| ~ spl0_54
| ~ spl0_105 ),
inference(resolution,[],[f1699,f418]) ).
fof(f24067,plain,
( spl0_400
| ~ spl0_16
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1770,f1045,f92,f24065]) ).
fof(f24065,plain,
( spl0_400
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1770,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),not(X0))),X1)) )
| ~ spl0_16
| ~ spl0_101 ),
inference(resolution,[],[f1046,f93]) ).
fof(f24063,plain,
( spl0_399
| ~ spl0_16
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1719,f1032,f92,f24061]) ).
fof(f24061,plain,
( spl0_399
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X0))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f1719,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X0))),X1)))
| ~ spl0_16
| ~ spl0_98 ),
inference(resolution,[],[f1033,f93]) ).
fof(f24059,plain,
( spl0_398
| ~ spl0_16
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1710,f1028,f92,f24057]) ).
fof(f24057,plain,
( spl0_398
<=> ! [X0] : theorem(or(X0,not(or(or(X0,X0),or(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f1710,plain,
( ! [X0] : theorem(or(X0,not(or(or(X0,X0),or(X0,X0)))))
| ~ spl0_16
| ~ spl0_97 ),
inference(resolution,[],[f1029,f93]) ).
fof(f24055,plain,
( spl0_397
| ~ spl0_6
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1002,f937,f41,f24053]) ).
fof(f24053,plain,
( spl0_397
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f1002,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_94 ),
inference(resolution,[],[f938,f42]) ).
fof(f24051,plain,
( ~ spl0_396
| spl0_1
| ~ spl0_375 ),
inference(avatar_split_clause,[],[f23009,f22471,f18,f24048]) ).
fof(f24048,plain,
( spl0_396
<=> theorem(not(not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f22471,plain,
( spl0_375
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f23009,plain,
( ~ theorem(not(not(q)))
| spl0_1
| ~ spl0_375 ),
inference(resolution,[],[f22472,f20]) ).
fof(f22472,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(not(not(X0))) )
| ~ spl0_375 ),
inference(avatar_component_clause,[],[f22471]) ).
fof(f24046,plain,
( spl0_395
| ~ spl0_47
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f871,f838,f310,f24044]) ).
fof(f24044,plain,
( spl0_395
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f871,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_83 ),
inference(resolution,[],[f839,f311]) ).
fof(f24042,plain,
( spl0_394
| ~ spl0_67
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f863,f834,f588,f24040]) ).
fof(f24040,plain,
( spl0_394
<=> ! [X2,X0,X1,X3] : theorem(or(X0,or(X1,or(or(not(X2),X2),X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f863,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(X1,or(or(not(X2),X2),X3))))
| ~ spl0_67
| ~ spl0_82 ),
inference(resolution,[],[f835,f589]) ).
fof(f22851,plain,
( ~ spl0_393
| spl0_100
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f22603,f22443,f1040,f22848]) ).
fof(f22848,plain,
( spl0_393
<=> theorem(or(q,p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f1040,plain,
( spl0_100
<=> theorem(or(q,not(not(p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f22603,plain,
( ~ theorem(or(q,p))
| spl0_100
| ~ spl0_368 ),
inference(resolution,[],[f22444,f1042]) ).
fof(f1042,plain,
( ~ theorem(or(q,not(not(p))))
| spl0_100 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f22541,plain,
( spl0_392
| ~ spl0_20
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3351,f3288,f125,f22539]) ).
fof(f22539,plain,
( spl0_392
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f3351,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_164 ),
inference(resolution,[],[f3289,f126]) ).
fof(f22537,plain,
( spl0_391
| ~ spl0_15
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2866,f2604,f85,f22535]) ).
fof(f22535,plain,
( spl0_391
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f2866,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X1,X0)) )
| ~ spl0_15
| ~ spl0_145 ),
inference(resolution,[],[f2605,f86]) ).
fof(f22533,plain,
( spl0_390
| ~ spl0_77
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2270,f2083,f769,f22531]) ).
fof(f22531,plain,
( spl0_390
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f2270,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) )
| ~ spl0_77
| ~ spl0_124 ),
inference(resolution,[],[f2084,f770]) ).
fof(f22529,plain,
( spl0_389
| ~ spl0_7
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2208,f2079,f46,f22527]) ).
fof(f22527,plain,
( spl0_389
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f2208,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X0)))) )
| ~ spl0_7
| ~ spl0_123 ),
inference(resolution,[],[f2080,f47]) ).
fof(f22525,plain,
( spl0_388
| ~ spl0_26
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2164,f2066,f163,f22523]) ).
fof(f22523,plain,
( spl0_388
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),X0))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f2164,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),X0))))
| ~ theorem(X1) )
| ~ spl0_26
| ~ spl0_120 ),
inference(resolution,[],[f2067,f164]) ).
fof(f22521,plain,
( spl0_387
| ~ spl0_137
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f21971,f19230,f2285,f22519]) ).
fof(f22519,plain,
( spl0_387
<=> ! [X0,X1] : ~ theorem(not(or(X0,or(X1,not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f19230,plain,
( spl0_346
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f21971,plain,
( ! [X0,X1] : ~ theorem(not(or(X0,or(X1,not(X1)))))
| ~ spl0_137
| ~ spl0_346 ),
inference(resolution,[],[f19231,f2286]) ).
fof(f19231,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2))
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f19230]) ).
fof(f22517,plain,
( spl0_386
| ~ spl0_87
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2041,f1851,f910,f22515]) ).
fof(f22515,plain,
( spl0_386
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f2041,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X2)) )
| ~ spl0_87
| ~ spl0_118 ),
inference(resolution,[],[f1852,f911]) ).
fof(f22513,plain,
( spl0_385
| ~ spl0_48
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1964,f1835,f314,f22511]) ).
fof(f1964,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,X0)),X1)) )
| ~ spl0_48
| ~ spl0_114 ),
inference(resolution,[],[f1836,f315]) ).
fof(f22509,plain,
( spl0_384
| ~ spl0_15
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1953,f1818,f85,f22507]) ).
fof(f22507,plain,
( spl0_384
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f1953,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(not(or(X1,X0))) )
| ~ spl0_15
| ~ spl0_111 ),
inference(resolution,[],[f1819,f86]) ).
fof(f22505,plain,
( spl0_383
| ~ spl0_79
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1911,f1810,f777,f22503]) ).
fof(f22503,plain,
( spl0_383
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f1911,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) )
| ~ spl0_79
| ~ spl0_109 ),
inference(resolution,[],[f1811,f778]) ).
fof(f22501,plain,
( spl0_382
| ~ spl0_49
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1883,f1810,f318,f22499]) ).
fof(f22499,plain,
( spl0_382
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f1883,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X1,X2)) )
| ~ spl0_49
| ~ spl0_109 ),
inference(resolution,[],[f1811,f319]) ).
fof(f22497,plain,
( spl0_381
| ~ spl0_6
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1708,f1028,f41,f22495]) ).
fof(f1708,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),or(X0,X0))) )
| ~ spl0_6
| ~ spl0_97 ),
inference(resolution,[],[f1029,f42]) ).
fof(f22493,plain,
( spl0_380
| ~ spl0_16
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1025,f941,f92,f22491]) ).
fof(f22491,plain,
( spl0_380
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(or(X1,or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f1025,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,or(X0,X2)),X3)) )
| ~ spl0_16
| ~ spl0_95 ),
inference(resolution,[],[f942,f93]) ).
fof(f22489,plain,
( spl0_379
| ~ spl0_16
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1011,f937,f92,f22487]) ).
fof(f22487,plain,
( spl0_379
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f1011,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X2),X0)) )
| ~ spl0_16
| ~ spl0_94 ),
inference(resolution,[],[f938,f93]) ).
fof(f22485,plain,
( spl0_378
| ~ spl0_15
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1009,f937,f85,f22483]) ).
fof(f22483,plain,
( spl0_378
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f1009,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_94 ),
inference(resolution,[],[f938,f86]) ).
fof(f22481,plain,
( spl0_377
| ~ spl0_17
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1005,f937,f102,f22479]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_94 ),
inference(resolution,[],[f938,f103]) ).
fof(f22477,plain,
( spl0_376
| ~ spl0_6
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f21818,f17934,f41,f22475]) ).
fof(f22475,plain,
( spl0_376
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f17934,plain,
( spl0_325
<=> ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f21818,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,or(X0,X0))) )
| ~ spl0_6
| ~ spl0_325 ),
inference(resolution,[],[f17935,f42]) ).
fof(f17935,plain,
( ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0))
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f17934]) ).
fof(f22473,plain,
( spl0_375
| ~ spl0_78
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f988,f933,f773,f22471]) ).
fof(f988,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_78
| ~ spl0_93 ),
inference(resolution,[],[f934,f774]) ).
fof(f22469,plain,
( spl0_374
| ~ spl0_78
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f976,f918,f773,f22467]) ).
fof(f22467,plain,
( spl0_374
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f976,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,not(or(X0,X0)))) )
| ~ spl0_78
| ~ spl0_89 ),
inference(resolution,[],[f919,f774]) ).
fof(f22465,plain,
( spl0_373
| ~ spl0_16
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f968,f910,f92,f22463]) ).
fof(f22463,plain,
( spl0_373
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f968,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_16
| ~ spl0_87 ),
inference(resolution,[],[f911,f93]) ).
fof(f22461,plain,
( spl0_372
| ~ spl0_17
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f962,f910,f102,f22459]) ).
fof(f962,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_17
| ~ spl0_87 ),
inference(resolution,[],[f911,f103]) ).
fof(f22457,plain,
( spl0_371
| ~ spl0_6
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f848,f830,f41,f22455]) ).
fof(f22455,plain,
( spl0_371
<=> ! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f848,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_81 ),
inference(resolution,[],[f831,f42]) ).
fof(f22453,plain,
( spl0_370
| ~ spl0_17
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f786,f765,f102,f22451]) ).
fof(f22451,plain,
( spl0_370
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(or(X0,X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f765,plain,
( spl0_76
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f786,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(or(X0,X2),X3))) )
| ~ spl0_17
| ~ spl0_76 ),
inference(resolution,[],[f766,f103]) ).
fof(f766,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(X0) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f22449,plain,
( spl0_369
| ~ spl0_52
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f751,f735,f361,f22447]) ).
fof(f22447,plain,
( spl0_369
<=> ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f751,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X0,X2))) )
| ~ spl0_52
| ~ spl0_74 ),
inference(resolution,[],[f736,f362]) ).
fof(f22445,plain,
( spl0_368
| ~ spl0_31
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f306,f268,f192,f22443]) ).
fof(f306,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_31
| ~ spl0_40 ),
inference(resolution,[],[f269,f193]) ).
fof(f22157,plain,
( spl0_367
| ~ spl0_137
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f21680,f16655,f2285,f22155]) ).
fof(f22155,plain,
( spl0_367
<=> ! [X0,X1] : ~ theorem(not(or(X0,or(not(X1),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f16655,plain,
( spl0_312
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f21680,plain,
( ! [X0,X1] : ~ theorem(not(or(X0,or(not(X1),X1))))
| ~ spl0_137
| ~ spl0_312 ),
inference(resolution,[],[f16656,f2286]) ).
fof(f16656,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f16655]) ).
fof(f21501,plain,
( spl0_366
| ~ spl0_21
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12197,f5165,f135,f21499]) ).
fof(f12197,plain,
( ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0))
| ~ spl0_21
| ~ spl0_224 ),
inference(resolution,[],[f5166,f136]) ).
fof(f21396,plain,
( spl0_365
| ~ spl0_48
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f720,f702,f314,f21394]) ).
fof(f21394,plain,
( spl0_365
<=> ! [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_365])]) ).
fof(f702,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(f720,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,[],[f703,f315]) ).
fof(f703,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,[],[f702]) ).
fof(f21291,plain,
( spl0_364
| ~ spl0_48
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f688,f658,f314,f21289]) ).
fof(f21289,plain,
( spl0_364
<=> ! [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_364])]) ).
fof(f658,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(f688,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,[],[f659,f315]) ).
fof(f659,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,[],[f658]) ).
fof(f21123,plain,
( spl0_363
| ~ spl0_15
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f717,f702,f85,f21121]) ).
fof(f21121,plain,
( spl0_363
<=> ! [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_363])]) ).
fof(f717,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,[],[f703,f86]) ).
fof(f21119,plain,
( spl0_362
| ~ spl0_48
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f700,f662,f314,f21117]) ).
fof(f662,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(f700,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,[],[f663,f315]) ).
fof(f663,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,[],[f662]) ).
fof(f21115,plain,
( spl0_361
| ~ spl0_114
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3086,f2685,f1835,f21113]) ).
fof(f3086,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(not(X1)) )
| ~ spl0_114
| ~ spl0_157 ),
inference(resolution,[],[f2686,f1836]) ).
fof(f20856,plain,
( spl0_360
| ~ spl0_48
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f733,f706,f314,f20854]) ).
fof(f20854,plain,
( spl0_360
<=> ! [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_360])]) ).
fof(f706,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(f733,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,[],[f707,f315]) ).
fof(f707,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,[],[f706]) ).
fof(f20852,plain,
( spl0_359
| ~ spl0_48
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f676,f654,f314,f20850]) ).
fof(f654,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(f676,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,[],[f655,f315]) ).
fof(f655,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,[],[f654]) ).
fof(f20848,plain,
( spl0_358
| ~ spl0_62
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f603,f588,f522,f20846]) ).
fof(f20846,plain,
( spl0_358
<=> ! [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_358])]) ).
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(f603,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,[],[f589,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(f20402,plain,
( spl0_357
| ~ spl0_75
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2754,f2580,f739,f20400]) ).
fof(f20400,plain,
( spl0_357
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f2754,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2)))))
| ~ spl0_75
| ~ spl0_139 ),
inference(resolution,[],[f2581,f740]) ).
fof(f20398,plain,
( spl0_356
| ~ spl0_63
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f721,f706,f526,f20396]) ).
fof(f20396,plain,
( spl0_356
<=> ! [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_356])]) ).
fof(f721,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,[],[f707,f527]) ).
fof(f20394,plain,
( spl0_355
| ~ spl0_63
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f709,f702,f526,f20392]) ).
fof(f20392,plain,
( spl0_355
<=> ! [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_355])]) ).
fof(f709,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,[],[f703,f527]) ).
fof(f20390,plain,
( spl0_354
| ~ spl0_15
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f685,f658,f85,f20388]) ).
fof(f20388,plain,
( spl0_354
<=> ! [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_354])]) ).
fof(f685,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,[],[f659,f86]) ).
fof(f20386,plain,
( spl0_353
| ~ spl0_62
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f636,f621,f522,f20384]) ).
fof(f20384,plain,
( spl0_353
<=> ! [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_353])]) ).
fof(f636,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,[],[f622,f523]) ).
fof(f19867,plain,
( spl0_352
| ~ spl0_67
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f716,f702,f588,f19865]) ).
fof(f19865,plain,
( spl0_352
<=> ! [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_352])]) ).
fof(f716,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,[],[f703,f589]) ).
fof(f19863,plain,
( spl0_351
| ~ spl0_39
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2019,f1851,f260,f19861]) ).
fof(f19861,plain,
( spl0_351
<=> ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f2019,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0)))
| ~ spl0_39
| ~ spl0_118 ),
inference(resolution,[],[f1852,f261]) ).
fof(f19859,plain,
( spl0_350
| ~ spl0_63
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f689,f662,f526,f19857]) ).
fof(f19857,plain,
( spl0_350
<=> ! [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_350])]) ).
fof(f689,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,[],[f663,f527]) ).
fof(f19855,plain,
( spl0_349
| ~ spl0_63
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f677,f658,f526,f19853]) ).
fof(f19853,plain,
( spl0_349
<=> ! [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_349])]) ).
fof(f677,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,[],[f659,f527]) ).
fof(f19851,plain,
( spl0_348
| ~ spl0_63
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f665,f654,f526,f19849]) ).
fof(f19849,plain,
( spl0_348
<=> ! [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_348])]) ).
fof(f665,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,[],[f655,f527]) ).
fof(f19847,plain,
( spl0_347
| ~ spl0_56
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f614,f588,f446,f19845]) ).
fof(f19845,plain,
( spl0_347
<=> ! [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_347])]) ).
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(f614,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,[],[f589,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(f19232,plain,
( spl0_346
| ~ spl0_75
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1914,f1810,f739,f19230]) ).
fof(f1914,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2))
| ~ spl0_75
| ~ spl0_109 ),
inference(resolution,[],[f1811,f740]) ).
fof(f19089,plain,
( spl0_345
| ~ spl0_68
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f725,f706,f621,f19087]) ).
fof(f19087,plain,
( spl0_345
<=> ! [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_345])]) ).
fof(f725,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,[],[f707,f622]) ).
fof(f19085,plain,
( spl0_344
| ~ spl0_31
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f723,f706,f192,f19083]) ).
fof(f19083,plain,
( spl0_344
<=> ! [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_344])]) ).
fof(f723,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,[],[f707,f193]) ).
fof(f19081,plain,
( spl0_343
| ~ spl0_68
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f713,f702,f621,f19079]) ).
fof(f19079,plain,
( spl0_343
<=> ! [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_343])]) ).
fof(f713,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,[],[f703,f622]) ).
fof(f19077,plain,
( spl0_342
| ~ spl0_31
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f711,f702,f192,f19075]) ).
fof(f19075,plain,
( spl0_342
<=> ! [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_342])]) ).
fof(f711,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,[],[f703,f193]) ).
fof(f19073,plain,
( spl0_341
| ~ spl0_15
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f697,f662,f85,f19071]) ).
fof(f697,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,[],[f663,f86]) ).
fof(f19069,plain,
( spl0_340
| ~ spl0_56
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f647,f621,f446,f19067]) ).
fof(f19067,plain,
( spl0_340
<=> ! [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_340])]) ).
fof(f647,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,[],[f622,f447]) ).
fof(f19065,plain,
( spl0_339
| ~ spl0_65
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f635,f621,f535,f19063]) ).
fof(f19063,plain,
( spl0_339
<=> ! [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_339])]) ).
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(f635,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,[],[f622,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(f18900,plain,
( spl0_338
| ~ spl0_23
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1896,f1810,f143,f18898]) ).
fof(f18898,plain,
( spl0_338
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f1896,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X1)),X2))
| ~ spl0_23
| ~ spl0_109 ),
inference(resolution,[],[f1811,f144]) ).
fof(f17984,plain,
( spl0_337
| ~ spl0_15
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f730,f706,f85,f17982]) ).
fof(f730,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,[],[f707,f86]) ).
fof(f17980,plain,
( spl0_336
| ~ spl0_25
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1885,f1810,f159,f17978]) ).
fof(f17978,plain,
( spl0_336
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f1885,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1))
| ~ spl0_25
| ~ spl0_109 ),
inference(resolution,[],[f1811,f160]) ).
fof(f17976,plain,
( spl0_335
| ~ spl0_67
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f729,f706,f588,f17974]) ).
fof(f17974,plain,
( spl0_335
<=> ! [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_335])]) ).
fof(f729,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,[],[f707,f589]) ).
fof(f17972,plain,
( spl0_334
| ~ spl0_68
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f694,f662,f621,f17970]) ).
fof(f17970,plain,
( spl0_334
<=> ! [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_334])]) ).
fof(f694,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,[],[f663,f622]) ).
fof(f17968,plain,
( spl0_333
| ~ spl0_31
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f691,f662,f192,f17966]) ).
fof(f17966,plain,
( spl0_333
<=> ! [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_333])]) ).
fof(f691,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,[],[f663,f193]) ).
fof(f17964,plain,
( spl0_332
| ~ spl0_68
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f682,f658,f621,f17962]) ).
fof(f17962,plain,
( spl0_332
<=> ! [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_332])]) ).
fof(f682,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,[],[f659,f622]) ).
fof(f17960,plain,
( spl0_331
| ~ spl0_31
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f679,f658,f192,f17958]) ).
fof(f17958,plain,
( spl0_331
<=> ! [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_331])]) ).
fof(f679,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,[],[f659,f193]) ).
fof(f17956,plain,
( spl0_330
| ~ spl0_15
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f673,f654,f85,f17954]) ).
fof(f673,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,[],[f655,f86]) ).
fof(f17952,plain,
( spl0_329
| ~ spl0_68
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f670,f654,f621,f17950]) ).
fof(f17950,plain,
( spl0_329
<=> ! [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_329])]) ).
fof(f670,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,[],[f655,f622]) ).
fof(f17948,plain,
( spl0_328
| ~ spl0_31
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f667,f654,f192,f17946]) ).
fof(f17946,plain,
( spl0_328
<=> ! [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_328])]) ).
fof(f667,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,[],[f655,f193]) ).
fof(f17944,plain,
( spl0_327
| ~ spl0_60
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f648,f621,f483,f17942]) ).
fof(f17942,plain,
( spl0_327
<=> ! [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_327])]) ).
fof(f483,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(f648,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,[],[f622,f484]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X2,X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f17940,plain,
( spl0_326
| ~ spl0_65
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f602,f588,f535,f17938]) ).
fof(f17938,plain,
( spl0_326
<=> ! [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_326])]) ).
fof(f602,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,[],[f589,f536]) ).
fof(f17936,plain,
( spl0_325
| ~ spl0_48
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1717,f1032,f314,f17934]) ).
fof(f1717,plain,
( ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0))
| ~ spl0_48
| ~ spl0_98 ),
inference(resolution,[],[f1033,f315]) ).
fof(f17497,plain,
( spl0_324
| ~ spl0_52
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f731,f706,f361,f17495]) ).
fof(f17495,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(f731,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,[],[f707,f362]) ).
fof(f17493,plain,
( spl0_323
| ~ spl0_51
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f722,f706,f357,f17491]) ).
fof(f17491,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(f722,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,[],[f707,f358]) ).
fof(f17489,plain,
( spl0_322
| ~ spl0_52
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f718,f702,f361,f17487]) ).
fof(f17487,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(f718,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,[],[f703,f362]) ).
fof(f17485,plain,
( spl0_321
| ~ spl0_16
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f900,f842,f92,f17483]) ).
fof(f17483,plain,
( spl0_321
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f900,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1))
| ~ spl0_16
| ~ spl0_84 ),
inference(resolution,[],[f843,f93]) ).
fof(f17481,plain,
( spl0_320
| ~ spl0_51
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f710,f702,f357,f17479]) ).
fof(f17479,plain,
( spl0_320
<=> ! [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_320])]) ).
fof(f710,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,[],[f703,f358]) ).
fof(f17477,plain,
( spl0_319
| ~ spl0_55
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f651,f621,f442,f17475]) ).
fof(f17475,plain,
( spl0_319
<=> ! [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_319])]) ).
fof(f651,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,[],[f622,f443]) ).
fof(f17473,plain,
( spl0_318
| ~ spl0_60
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f615,f588,f483,f17471]) ).
fof(f17471,plain,
( spl0_318
<=> ! [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_318])]) ).
fof(f615,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,[],[f589,f484]) ).
fof(f17469,plain,
( spl0_317
| ~ spl0_48
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f506,f479,f314,f17467]) ).
fof(f506,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,[],[f480,f315]) ).
fof(f17170,plain,
( spl0_316
| ~ spl0_16
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f867,f834,f92,f17168]) ).
fof(f17168,plain,
( spl0_316
<=> ! [X2,X0,X1] : theorem(or(or(or(not(X0),X0),X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f867,plain,
( ! [X2,X0,X1] : theorem(or(or(or(not(X0),X0),X1),X2))
| ~ spl0_16
| ~ spl0_82 ),
inference(resolution,[],[f835,f93]) ).
fof(f16669,plain,
( spl0_315
| ~ spl0_50
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f728,f706,f322,f16667]) ).
fof(f16667,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(f728,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,[],[f707,f323]) ).
fof(f16665,plain,
( spl0_314
| ~ spl0_52
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f698,f662,f361,f16663]) ).
fof(f16663,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(f698,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,[],[f663,f362]) ).
fof(f16661,plain,
( spl0_313
| ~ spl0_51
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f690,f662,f357,f16659]) ).
fof(f16659,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(f690,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,[],[f663,f358]) ).
fof(f16657,plain,
( spl0_312
| ~ spl0_54
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f860,f834,f417,f16655]) ).
fof(f860,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl0_54
| ~ spl0_82 ),
inference(resolution,[],[f835,f418]) ).
fof(f16653,plain,
( spl0_311
| ~ spl0_52
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f686,f658,f361,f16651]) ).
fof(f16651,plain,
( spl0_311
<=> ! [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_311])]) ).
fof(f686,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,[],[f659,f362]) ).
fof(f16649,plain,
( spl0_310
| ~ spl0_51
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f678,f658,f357,f16647]) ).
fof(f16647,plain,
( spl0_310
<=> ! [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_310])]) ).
fof(f678,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,[],[f659,f358]) ).
fof(f16645,plain,
( spl0_309
| ~ spl0_52
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f674,f654,f361,f16643]) ).
fof(f16643,plain,
( spl0_309
<=> ! [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_309])]) ).
fof(f674,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,[],[f655,f362]) ).
fof(f16641,plain,
( spl0_308
| ~ spl0_51
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f666,f654,f357,f16639]) ).
fof(f666,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,[],[f655,f358]) ).
fof(f16637,plain,
( spl0_307
| ~ spl0_32
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f572,f526,f217,f16635]) ).
fof(f16635,plain,
( spl0_307
<=> ! [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_307])]) ).
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(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(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(f16633,plain,
( spl0_306
| ~ spl0_30
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f570,f526,f188,f16631]) ).
fof(f16631,plain,
( spl0_306
<=> ! [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_306])]) ).
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(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(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(f16629,plain,
( spl0_305
| ~ spl0_59
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f569,f526,f479,f16627]) ).
fof(f16627,plain,
( spl0_305
<=> ! [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_305])]) ).
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,f480]) ).
fof(f16625,plain,
( spl0_304
| ~ spl0_17
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f548,f522,f102,f16623]) ).
fof(f16623,plain,
( spl0_304
<=> ! [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_304])]) ).
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(f16621,plain,
( spl0_303
| ~ spl0_54
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f547,f522,f417,f16619]) ).
fof(f16619,plain,
( spl0_303
<=> ! [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_303])]) ).
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(f16477,plain,
( spl0_302
| ~ spl0_16
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f854,f830,f92,f16475]) ).
fof(f16475,plain,
( spl0_302
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f854,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0))
| ~ spl0_16
| ~ spl0_81 ),
inference(resolution,[],[f831,f93]) ).
fof(f15610,plain,
( spl0_301
| ~ spl0_54
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f850,f830,f417,f15608]) ).
fof(f15608,plain,
( spl0_301
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f850,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1)))))
| ~ spl0_54
| ~ spl0_81 ),
inference(resolution,[],[f831,f418]) ).
fof(f15606,plain,
( spl0_300
| ~ spl0_6
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f724,f706,f41,f15604]) ).
fof(f15604,plain,
( spl0_300
<=> ! [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_300])]) ).
fof(f724,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,[],[f707,f42]) ).
fof(f15602,plain,
( spl0_299
| ~ spl0_6
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f712,f702,f41,f15600]) ).
fof(f15600,plain,
( spl0_299
<=> ! [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_299])]) ).
fof(f712,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,[],[f703,f42]) ).
fof(f15598,plain,
( spl0_298
| ~ spl0_14
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f633,f621,f80,f15596]) ).
fof(f15596,plain,
( spl0_298
<=> ! [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_298])]) ).
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(f633,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,[],[f622,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(f15594,plain,
( spl0_297
| ~ spl0_36
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f630,f621,f239,f15592]) ).
fof(f15592,plain,
( spl0_297
<=> ! [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_297])]) ).
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(f630,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,[],[f622,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(f15590,plain,
( spl0_296
| ~ spl0_63
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f575,f535,f526,f15588]) ).
fof(f15588,plain,
( spl0_296
<=> ! [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_296])]) ).
fof(f575,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(f15586,plain,
( spl0_295
| ~ spl0_29
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f571,f526,f184,f15584]) ).
fof(f15584,plain,
( spl0_295
<=> ! [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_295])]) ).
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(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(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(f15582,plain,
( spl0_294
| ~ spl0_57
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f565,f526,f450,f15580]) ).
fof(f15580,plain,
( spl0_294
<=> ! [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_294])]) ).
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(f15578,plain,
( spl0_293
| ~ spl0_62
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f561,f526,f522,f15576]) ).
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(f15574,plain,
( spl0_292
| ~ spl0_14
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f559,f526,f80,f15572]) ).
fof(f15572,plain,
( spl0_292
<=> ! [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_292])]) ).
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(f15570,plain,
( spl0_291
| ~ spl0_36
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f558,f526,f239,f15568]) ).
fof(f15568,plain,
( spl0_291
<=> ! [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_291])]) ).
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(f15566,plain,
( spl0_290
| ~ spl0_67
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f750,f735,f588,f15564]) ).
fof(f15564,plain,
( spl0_290
<=> ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f750,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2))))
| ~ spl0_67
| ~ spl0_74 ),
inference(resolution,[],[f736,f589]) ).
fof(f15562,plain,
( spl0_289
| ~ spl0_48
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f471,f450,f314,f15560]) ).
fof(f15560,plain,
( spl0_289
<=> ! [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_289])]) ).
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(f13594,plain,
( spl0_288
| ~ spl0_16
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f732,f706,f92,f13592]) ).
fof(f13592,plain,
( spl0_288
<=> ! [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_288])]) ).
fof(f732,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,[],[f707,f93]) ).
fof(f13590,plain,
( spl0_287
| ~ spl0_54
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f726,f706,f417,f13588]) ).
fof(f13588,plain,
( spl0_287
<=> ! [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_287])]) ).
fof(f726,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,[],[f707,f418]) ).
fof(f13586,plain,
( spl0_286
| ~ spl0_16
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f719,f702,f92,f13584]) ).
fof(f13584,plain,
( spl0_286
<=> ! [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_286])]) ).
fof(f719,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,[],[f703,f93]) ).
fof(f13582,plain,
( spl0_285
| ~ spl0_82
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2677,f2285,f834,f13580]) ).
fof(f13580,plain,
( spl0_285
<=> ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f2677,plain,
( ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1)))
| ~ spl0_82
| ~ spl0_137 ),
inference(resolution,[],[f2286,f835]) ).
fof(f13578,plain,
( spl0_284
| ~ spl0_17
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f715,f702,f102,f13576]) ).
fof(f13576,plain,
( spl0_284
<=> ! [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_284])]) ).
fof(f715,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,[],[f703,f103]) ).
fof(f13574,plain,
( spl0_283
| ~ spl0_54
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f714,f702,f417,f13572]) ).
fof(f13572,plain,
( spl0_283
<=> ! [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_283])]) ).
fof(f714,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,[],[f703,f418]) ).
fof(f13570,plain,
( spl0_282
| ~ spl0_6
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f692,f662,f41,f13568]) ).
fof(f692,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,[],[f663,f42]) ).
fof(f13566,plain,
( spl0_281
| ~ spl0_6
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f680,f658,f41,f13564]) ).
fof(f13564,plain,
( spl0_281
<=> ! [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_281])]) ).
fof(f680,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,[],[f659,f42]) ).
fof(f13562,plain,
( spl0_280
| ~ spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f668,f654,f41,f13560]) ).
fof(f668,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,[],[f655,f42]) ).
fof(f13558,plain,
( spl0_279
| ~ spl0_49
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f652,f621,f318,f13556]) ).
fof(f13556,plain,
( spl0_279
<=> ! [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_279])]) ).
fof(f652,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,[],[f622,f319]) ).
fof(f13554,plain,
( spl0_278
| ~ spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f642,f621,f217,f13552]) ).
fof(f13552,plain,
( spl0_278
<=> ! [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_278])]) ).
fof(f642,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,[],[f622,f218]) ).
fof(f13550,plain,
( spl0_277
| ~ spl0_59
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f639,f621,f479,f13548]) ).
fof(f13548,plain,
( spl0_277
<=> ! [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_277])]) ).
fof(f639,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,[],[f622,f480]) ).
fof(f13546,plain,
( spl0_276
| ~ spl0_61
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f634,f621,f487,f13544]) ).
fof(f13544,plain,
( spl0_276
<=> ! [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_276])]) ).
fof(f634,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,[],[f622,f488]) ).
fof(f13542,plain,
( spl0_275
| ~ spl0_47
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f632,f621,f310,f13540]) ).
fof(f13540,plain,
( spl0_275
<=> ! [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_275])]) ).
fof(f632,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,[],[f622,f311]) ).
fof(f13538,plain,
( spl0_274
| ~ spl0_53
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f986,f922,f365,f13536]) ).
fof(f13536,plain,
( spl0_274
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f365,plain,
( spl0_53
<=> ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f922,plain,
( spl0_90
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f986,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X0)) )
| ~ spl0_53
| ~ spl0_90 ),
inference(resolution,[],[f923,f366]) ).
fof(f366,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f923,plain,
( ! [X0,X1] :
( ~ theorem(not(not(or(X0,X0))))
| theorem(or(X0,X1)) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f13534,plain,
( spl0_273
| ~ spl0_58
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f629,f621,f475,f13532]) ).
fof(f13532,plain,
( spl0_273
<=> ! [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_273])]) ).
fof(f629,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,[],[f622,f476]) ).
fof(f13530,plain,
( spl0_272
| ~ spl0_19
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f628,f621,f117,f13528]) ).
fof(f13528,plain,
( spl0_272
<=> ! [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_272])]) ).
fof(f628,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,[],[f622,f118]) ).
fof(f13526,plain,
( spl0_271
| ~ spl0_17
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f583,f535,f102,f13524]) ).
fof(f13524,plain,
( spl0_271
<=> ! [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_271])]) ).
fof(f583,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(f13522,plain,
( spl0_270
| ~ spl0_54
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f582,f535,f417,f13520]) ).
fof(f13520,plain,
( spl0_270
<=> ! [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_270])]) ).
fof(f582,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(f13518,plain,
( spl0_269
| ~ spl0_61
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f560,f526,f487,f13516]) ).
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,f488]) ).
fof(f13514,plain,
( spl0_268
| ~ spl0_58
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f557,f526,f475,f13512]) ).
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,f476]) ).
fof(f13510,plain,
( spl0_267
| ~ spl0_19
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f556,f526,f117,f13508]) ).
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(f13506,plain,
( spl0_266
| ~ spl0_50
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f549,f522,f322,f13504]) ).
fof(f13504,plain,
( spl0_266
<=> ! [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_266])]) ).
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(f13502,plain,
( spl0_265
| ~ spl0_31
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f499,f479,f192,f13500]) ).
fof(f13500,plain,
( spl0_265
<=> ! [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_265])]) ).
fof(f499,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,[],[f480,f193]) ).
fof(f12063,plain,
( spl0_264
| ~ spl0_16
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f699,f662,f92,f12061]) ).
fof(f12061,plain,
( spl0_264
<=> ! [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_264])]) ).
fof(f699,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,[],[f663,f93]) ).
fof(f12059,plain,
( spl0_263
| ~ spl0_17
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f696,f662,f102,f12057]) ).
fof(f12057,plain,
( spl0_263
<=> ! [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_263])]) ).
fof(f696,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,[],[f663,f103]) ).
fof(f12055,plain,
( spl0_262
| ~ spl0_54
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f695,f662,f417,f12053]) ).
fof(f12053,plain,
( spl0_262
<=> ! [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_262])]) ).
fof(f695,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,[],[f663,f418]) ).
fof(f12051,plain,
( spl0_261
| ~ spl0_67
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f693,f662,f588,f12049]) ).
fof(f12049,plain,
( spl0_261
<=> ! [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_261])]) ).
fof(f693,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,[],[f663,f589]) ).
fof(f12046,plain,
( spl0_260
| ~ spl0_16
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f687,f658,f92,f12044]) ).
fof(f12044,plain,
( spl0_260
<=> ! [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_260])]) ).
fof(f687,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,[],[f659,f93]) ).
fof(f12042,plain,
( spl0_259
| ~ spl0_17
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f684,f658,f102,f12040]) ).
fof(f12040,plain,
( spl0_259
<=> ! [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_259])]) ).
fof(f684,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,[],[f659,f103]) ).
fof(f12038,plain,
( spl0_258
| ~ spl0_54
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f683,f658,f417,f12036]) ).
fof(f12036,plain,
( spl0_258
<=> ! [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_258])]) ).
fof(f683,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,[],[f659,f418]) ).
fof(f12034,plain,
( spl0_257
| ~ spl0_67
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f681,f658,f588,f12032]) ).
fof(f12032,plain,
( spl0_257
<=> ! [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_257])]) ).
fof(f681,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,[],[f659,f589]) ).
fof(f12030,plain,
( spl0_256
| ~ spl0_16
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f675,f654,f92,f12028]) ).
fof(f12028,plain,
( spl0_256
<=> ! [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_256])]) ).
fof(f675,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,[],[f655,f93]) ).
fof(f12026,plain,
( spl0_255
| ~ spl0_17
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f672,f654,f102,f12024]) ).
fof(f12024,plain,
( spl0_255
<=> ! [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_255])]) ).
fof(f672,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,[],[f655,f103]) ).
fof(f12022,plain,
( spl0_254
| ~ spl0_54
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f671,f654,f417,f12020]) ).
fof(f12020,plain,
( spl0_254
<=> ! [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_254])]) ).
fof(f671,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,[],[f655,f418]) ).
fof(f12018,plain,
( spl0_253
| ~ spl0_67
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f669,f654,f588,f12016]) ).
fof(f12016,plain,
( spl0_253
<=> ! [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_253])]) ).
fof(f669,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,[],[f655,f589]) ).
fof(f12014,plain,
( spl0_252
| ~ spl0_46
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f650,f621,f300,f12012]) ).
fof(f12012,plain,
( spl0_252
<=> ! [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_252])]) ).
fof(f650,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,[],[f622,f301]) ).
fof(f12010,plain,
( spl0_251
| ~ spl0_29
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f641,f621,f184,f12008]) ).
fof(f12008,plain,
( spl0_251
<=> ! [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_251])]) ).
fof(f641,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,[],[f622,f185]) ).
fof(f11978,plain,
( spl0_250
| ~ spl0_30
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f640,f621,f188,f11976]) ).
fof(f11976,plain,
( spl0_250
<=> ! [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_250])]) ).
fof(f640,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,[],[f622,f189]) ).
fof(f11974,plain,
( spl0_249
| ~ spl0_10
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f631,f621,f60,f11972]) ).
fof(f11972,plain,
( spl0_249
<=> ! [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_249])]) ).
fof(f631,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,[],[f622,f61]) ).
fof(f11970,plain,
( spl0_248
| ~ spl0_12
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f627,f621,f71,f11968]) ).
fof(f11968,plain,
( spl0_248
<=> ! [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_248])]) ).
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(f627,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,[],[f622,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(f11966,plain,
( spl0_247
| ~ spl0_49
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f619,f588,f318,f11964]) ).
fof(f11964,plain,
( spl0_247
<=> ! [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_247])]) ).
fof(f619,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,[],[f589,f319]) ).
fof(f11962,plain,
( spl0_246
| ~ spl0_32
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f609,f588,f217,f11960]) ).
fof(f11960,plain,
( spl0_246
<=> ! [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_246])]) ).
fof(f609,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,[],[f589,f218]) ).
fof(f11958,plain,
( spl0_245
| ~ spl0_59
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f607,f588,f479,f11956]) ).
fof(f11956,plain,
( spl0_245
<=> ! [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_245])]) ).
fof(f607,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,[],[f589,f480]) ).
fof(f11954,plain,
( spl0_244
| ~ spl0_61
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f601,f588,f487,f11952]) ).
fof(f11952,plain,
( spl0_244
<=> ! [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_244])]) ).
fof(f601,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,[],[f589,f488]) ).
fof(f11950,plain,
( spl0_243
| ~ spl0_47
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f599,f588,f310,f11948]) ).
fof(f11948,plain,
( spl0_243
<=> ! [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_243])]) ).
fof(f599,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,[],[f589,f311]) ).
fof(f11946,plain,
( spl0_242
| ~ spl0_58
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f596,f588,f475,f11944]) ).
fof(f11944,plain,
( spl0_242
<=> ! [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_242])]) ).
fof(f596,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,[],[f589,f476]) ).
fof(f8797,plain,
( spl0_42
| ~ spl0_45
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f7530,f3653,f296,f275]) ).
fof(f275,plain,
( spl0_42
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f296,plain,
( spl0_45
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f3653,plain,
( spl0_178
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f7530,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_45
| ~ spl0_178 ),
inference(resolution,[],[f3654,f297]) ).
fof(f297,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f3654,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f3653]) ).
fof(f8323,plain,
( spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f8298]) ).
fof(f8298,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(f8322,plain,
( spl0_38
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f8299]) ).
fof(f8299,plain,
( $false
| spl0_38
| ~ spl0_41 ),
inference(resolution,[],[f273,f255]) ).
fof(f8321,plain,
( ~ spl0_41
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f8300]) ).
fof(f8300,plain,
( $false
| ~ spl0_41
| spl0_103 ),
inference(resolution,[],[f273,f1284]) ).
fof(f8320,plain,
( spl0_18
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f8301]) ).
fof(f8301,plain,
( $false
| spl0_18
| ~ spl0_41 ),
inference(resolution,[],[f273,f114]) ).
fof(f114,plain,
( ~ theorem(or(not(not(p)),q))
| spl0_18 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_18
<=> theorem(or(not(not(p)),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f8319,plain,
( ~ spl0_41
| spl0_100 ),
inference(avatar_contradiction_clause,[],[f8302]) ).
fof(f8302,plain,
( $false
| ~ spl0_41
| spl0_100 ),
inference(resolution,[],[f273,f1042]) ).
fof(f8318,plain,
( spl0_35
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f8303]) ).
fof(f8303,plain,
( $false
| spl0_35
| ~ spl0_41 ),
inference(resolution,[],[f273,f236]) ).
fof(f236,plain,
( ~ theorem(not(not(p)))
| spl0_35 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_35
<=> theorem(not(not(p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f8317,plain,
( ~ spl0_41
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f8306]) ).
fof(f8306,plain,
( $false
| ~ spl0_41
| ~ spl0_163 ),
inference(resolution,[],[f273,f2803]) ).
fof(f2803,plain,
( ! [X0] : ~ theorem(not(or(X0,not(X0))))
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f2802,plain,
( spl0_163
<=> ! [X0] : ~ theorem(not(or(X0,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f8316,plain,
( ~ spl0_41
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f8307]) ).
fof(f8307,plain,
( $false
| ~ spl0_41
| ~ spl0_91 ),
inference(resolution,[],[f273,f927]) ).
fof(f927,plain,
( ! [X2] : ~ theorem(not(or(not(X2),X2)))
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f926,plain,
( spl0_91
<=> ! [X2] : ~ theorem(not(or(not(X2),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f8315,plain,
( spl0_37
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f8308]) ).
fof(f8308,plain,
( $false
| spl0_37
| ~ spl0_41 ),
inference(resolution,[],[f273,f250]) ).
fof(f250,plain,
( ~ theorem(not(or(p,q)))
| spl0_37 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_37
<=> theorem(not(or(p,q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f8314,plain,
( ~ spl0_41
| spl0_121 ),
inference(avatar_contradiction_clause,[],[f8309]) ).
fof(f8309,plain,
( $false
| ~ spl0_41
| spl0_121 ),
inference(resolution,[],[f273,f2072]) ).
fof(f2072,plain,
( ~ theorem(not(or(q,p)))
| spl0_121 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f2070,plain,
( spl0_121
<=> theorem(not(or(q,p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f8313,plain,
( ~ spl0_41
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f8310]) ).
fof(f8310,plain,
( $false
| ~ spl0_41
| spl0_64 ),
inference(resolution,[],[f273,f532]) ).
fof(f532,plain,
( ~ theorem(p)
| spl0_64 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f530,plain,
( spl0_64
<=> theorem(p) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f8312,plain,
( spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f8311]) ).
fof(f8311,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(f8297,plain,
( spl0_241
| ~ spl0_137
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f8014,f4047,f2285,f8295]) ).
fof(f8295,plain,
( spl0_241
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(not(not(not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f4047,plain,
( spl0_195
<=> ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f8014,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(not(not(not(X0)))) )
| ~ spl0_137
| ~ spl0_195 ),
inference(resolution,[],[f4048,f2286]) ).
fof(f4048,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f4047]) ).
fof(f5352,plain,
( ~ spl0_7
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5231]) ).
fof(f5231,plain,
( $false
| ~ spl0_7
| ~ spl0_234 ),
inference(resolution,[],[f5206,f47]) ).
fof(f5206,plain,
( ! [X1] : ~ theorem(X1)
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f5205]) ).
fof(f5351,plain,
( ~ spl0_74
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5232]) ).
fof(f5232,plain,
( $false
| ~ spl0_74
| ~ spl0_234 ),
inference(resolution,[],[f5206,f736]) ).
fof(f5350,plain,
( ~ spl0_39
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5233]) ).
fof(f5233,plain,
( $false
| ~ spl0_39
| ~ spl0_234 ),
inference(resolution,[],[f5206,f261]) ).
fof(f5349,plain,
( ~ spl0_10
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5234]) ).
fof(f5234,plain,
( $false
| ~ spl0_10
| ~ spl0_234 ),
inference(resolution,[],[f5206,f61]) ).
fof(f5348,plain,
( ~ spl0_122
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5235]) ).
fof(f5235,plain,
( $false
| ~ spl0_122
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2076]) ).
fof(f5347,plain,
( ~ spl0_105
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5236]) ).
fof(f5236,plain,
( $false
| ~ spl0_105
| ~ spl0_234 ),
inference(resolution,[],[f5206,f1699]) ).
fof(f5346,plain,
( ~ spl0_176
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5237]) ).
fof(f5237,plain,
( $false
| ~ spl0_176
| ~ spl0_234 ),
inference(resolution,[],[f5206,f3337]) ).
fof(f3337,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2))))
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f3336]) ).
fof(f3336,plain,
( spl0_176
<=> ! [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_176])]) ).
fof(f5345,plain,
( ~ spl0_11
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5238]) ).
fof(f5238,plain,
( $false
| ~ spl0_11
| ~ spl0_234 ),
inference(resolution,[],[f5206,f67]) ).
fof(f5344,plain,
( ~ spl0_12
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5239]) ).
fof(f5239,plain,
( $false
| ~ spl0_12
| ~ spl0_234 ),
inference(resolution,[],[f5206,f72]) ).
fof(f5343,plain,
( ~ spl0_127
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5240]) ).
fof(f5240,plain,
( $false
| ~ spl0_127
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2096]) ).
fof(f5342,plain,
( ~ spl0_166
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5241]) ).
fof(f5241,plain,
( $false
| ~ spl0_166
| ~ spl0_234 ),
inference(resolution,[],[f5206,f3297]) ).
fof(f3297,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2)))))
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f3296]) ).
fof(f3296,plain,
( spl0_166
<=> ! [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_166])]) ).
fof(f5341,plain,
( ~ spl0_36
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5242]) ).
fof(f5242,plain,
( $false
| ~ spl0_36
| ~ spl0_234 ),
inference(resolution,[],[f5206,f240]) ).
fof(f5340,plain,
( ~ spl0_177
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5243]) ).
fof(f5243,plain,
( $false
| ~ spl0_177
| ~ spl0_234 ),
inference(resolution,[],[f5206,f3341]) ).
fof(f3341,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1))))
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f3340]) ).
fof(f3340,plain,
( spl0_177
<=> ! [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_177])]) ).
fof(f5339,plain,
( ~ spl0_167
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5244]) ).
fof(f5244,plain,
( $false
| ~ spl0_167
| ~ spl0_234 ),
inference(resolution,[],[f5206,f3301]) ).
fof(f3301,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0)))))
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f3300]) ).
fof(f3300,plain,
( spl0_167
<=> ! [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_167])]) ).
fof(f5338,plain,
( ~ spl0_14
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5245]) ).
fof(f5245,plain,
( $false
| ~ spl0_14
| ~ spl0_234 ),
inference(resolution,[],[f5206,f81]) ).
fof(f5337,plain,
( ~ spl0_128
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5246]) ).
fof(f5246,plain,
( $false
| ~ spl0_128
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2100]) ).
fof(f5336,plain,
( ~ spl0_234
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f5247]) ).
fof(f5247,plain,
( $false
| ~ spl0_234
| ~ spl0_238 ),
inference(resolution,[],[f5206,f5221]) ).
fof(f5221,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),or(X1,or(X0,X2))))
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f5220]) ).
fof(f5220,plain,
( spl0_238
<=> ! [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_238])]) ).
fof(f5335,plain,
( ~ spl0_97
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5248]) ).
fof(f5248,plain,
( $false
| ~ spl0_97
| ~ spl0_234 ),
inference(resolution,[],[f5206,f1029]) ).
fof(f5334,plain,
( ~ spl0_134
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5249]) ).
fof(f5249,plain,
( $false
| ~ spl0_134
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2124]) ).
fof(f5333,plain,
( ~ spl0_23
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5250]) ).
fof(f5250,plain,
( $false
| ~ spl0_23
| ~ spl0_234 ),
inference(resolution,[],[f5206,f144]) ).
fof(f5332,plain,
( ~ spl0_26
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5251]) ).
fof(f5251,plain,
( $false
| ~ spl0_26
| ~ spl0_234 ),
inference(resolution,[],[f5206,f164]) ).
fof(f5331,plain,
( ~ spl0_30
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5252]) ).
fof(f5252,plain,
( $false
| ~ spl0_30
| ~ spl0_234 ),
inference(resolution,[],[f5206,f189]) ).
fof(f5330,plain,
( ~ spl0_81
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5253]) ).
fof(f5253,plain,
( $false
| ~ spl0_81
| ~ spl0_234 ),
inference(resolution,[],[f5206,f831]) ).
fof(f5329,plain,
( ~ spl0_80
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5254]) ).
fof(f5254,plain,
( $false
| ~ spl0_80
| ~ spl0_234 ),
inference(resolution,[],[f5206,f812]) ).
fof(f5328,plain,
( ~ spl0_29
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5255]) ).
fof(f5255,plain,
( $false
| ~ spl0_29
| ~ spl0_234 ),
inference(resolution,[],[f5206,f185]) ).
fof(f5327,plain,
( ~ spl0_106
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5256]) ).
fof(f5256,plain,
( $false
| ~ spl0_106
| ~ spl0_234 ),
inference(resolution,[],[f5206,f1703]) ).
fof(f5326,plain,
( ~ spl0_135
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5257]) ).
fof(f5257,plain,
( $false
| ~ spl0_135
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2128]) ).
fof(f5325,plain,
( ~ spl0_136
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5258]) ).
fof(f5258,plain,
( $false
| ~ spl0_136
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2132]) ).
fof(f5324,plain,
( ~ spl0_234
| ~ spl0_239 ),
inference(avatar_contradiction_clause,[],[f5259]) ).
fof(f5259,plain,
( $false
| ~ spl0_234
| ~ spl0_239 ),
inference(resolution,[],[f5206,f5225]) ).
fof(f5225,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),X2))))
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f5224]) ).
fof(f5224,plain,
( spl0_239
<=> ! [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_239])]) ).
fof(f5323,plain,
( ~ spl0_75
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5260]) ).
fof(f5260,plain,
( $false
| ~ spl0_75
| ~ spl0_234 ),
inference(resolution,[],[f5206,f740]) ).
fof(f5322,plain,
( ~ spl0_84
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5261]) ).
fof(f5261,plain,
( $false
| ~ spl0_84
| ~ spl0_234 ),
inference(resolution,[],[f5206,f843]) ).
fof(f5321,plain,
( ~ spl0_129
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5262]) ).
fof(f5262,plain,
( $false
| ~ spl0_129
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2104]) ).
fof(f5320,plain,
( ~ spl0_96
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5263]) ).
fof(f5263,plain,
( $false
| ~ spl0_96
| ~ spl0_234 ),
inference(resolution,[],[f5206,f953]) ).
fof(f5319,plain,
( ~ spl0_82
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5264]) ).
fof(f5264,plain,
( $false
| ~ spl0_82
| ~ spl0_234 ),
inference(resolution,[],[f5206,f835]) ).
fof(f5318,plain,
( ~ spl0_119
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5265]) ).
fof(f5265,plain,
( $false
| ~ spl0_119
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2063]) ).
fof(f5317,plain,
( ~ spl0_203
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5266]) ).
fof(f5266,plain,
( $false
| ~ spl0_203
| ~ spl0_234 ),
inference(resolution,[],[f5206,f4413]) ).
fof(f4413,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,[],[f4412]) ).
fof(f4412,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(f5316,plain,
( ~ spl0_234
| ~ spl0_237 ),
inference(avatar_contradiction_clause,[],[f5267]) ).
fof(f5267,plain,
( $false
| ~ spl0_234
| ~ spl0_237 ),
inference(resolution,[],[f5206,f5217]) ).
fof(f5217,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),X1)))
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f5216]) ).
fof(f5216,plain,
( spl0_237
<=> ! [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_237])]) ).
fof(f5315,plain,
( ~ spl0_130
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5268]) ).
fof(f5268,plain,
( $false
| ~ spl0_130
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2108]) ).
fof(f5314,plain,
( ~ spl0_22
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5269]) ).
fof(f5269,plain,
( $false
| ~ spl0_22
| ~ spl0_234 ),
inference(resolution,[],[f5206,f140]) ).
fof(f5313,plain,
( ~ spl0_40
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5270]) ).
fof(f5270,plain,
( $false
| ~ spl0_40
| ~ spl0_234 ),
inference(resolution,[],[f5206,f269]) ).
fof(f5312,plain,
( ~ spl0_56
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5271]) ).
fof(f5271,plain,
( $false
| ~ spl0_56
| ~ spl0_234 ),
inference(resolution,[],[f5206,f447]) ).
fof(f5311,plain,
( ~ spl0_204
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5272]) ).
fof(f5272,plain,
( $false
| ~ spl0_204
| ~ spl0_234 ),
inference(resolution,[],[f5206,f4417]) ).
fof(f4417,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,[],[f4416]) ).
fof(f4416,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(f5310,plain,
( ~ spl0_174
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5273]) ).
fof(f5273,plain,
( $false
| ~ spl0_174
| ~ spl0_234 ),
inference(resolution,[],[f5206,f3329]) ).
fof(f3329,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X1),X0))
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f3328,plain,
( spl0_174
<=> ! [X0,X1] : theorem(or(or(not(X0),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f5309,plain,
( ~ spl0_43
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5274]) ).
fof(f5274,plain,
( $false
| ~ spl0_43
| ~ spl0_234 ),
inference(resolution,[],[f5206,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(f5308,plain,
( ~ spl0_46
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5275]) ).
fof(f5275,plain,
( $false
| ~ spl0_46
| ~ spl0_234 ),
inference(resolution,[],[f5206,f301]) ).
fof(f5307,plain,
( ~ spl0_98
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5276]) ).
fof(f5276,plain,
( $false
| ~ spl0_98
| ~ spl0_234 ),
inference(resolution,[],[f5206,f1033]) ).
fof(f5306,plain,
( ~ spl0_55
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5277]) ).
fof(f5277,plain,
( $false
| ~ spl0_55
| ~ spl0_234 ),
inference(resolution,[],[f5206,f443]) ).
fof(f5305,plain,
( ~ spl0_168
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5278]) ).
fof(f5278,plain,
( $false
| ~ spl0_168
| ~ spl0_234 ),
inference(resolution,[],[f5206,f3305]) ).
fof(f5304,plain,
( ~ spl0_104
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5279]) ).
fof(f5279,plain,
( $false
| ~ spl0_104
| ~ spl0_234 ),
inference(resolution,[],[f5206,f1638]) ).
fof(f5303,plain,
( ~ spl0_146
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5280]) ).
fof(f5280,plain,
( $false
| ~ spl0_146
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2609]) ).
fof(f2609,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f2608]) ).
fof(f2608,plain,
( spl0_146
<=> ! [X0,X1] : theorem(or(or(X0,not(X1)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f5302,plain,
( ~ spl0_131
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5281]) ).
fof(f5281,plain,
( $false
| ~ spl0_131
| ~ spl0_234 ),
inference(resolution,[],[f5206,f2112]) ).
fof(f5301,plain,
( ~ spl0_216
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5282]) ).
fof(f5282,plain,
( $false
| ~ spl0_216
| ~ spl0_234 ),
inference(resolution,[],[f5206,f4465]) ).
fof(f4465,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(X1,or(X2,X3)))),X0),or(X2,or(X1,X3))))
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f4464]) ).
fof(f4464,plain,
( spl0_216
<=> ! [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_216])]) ).
fof(f5300,plain,
( ~ spl0_202
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5283]) ).
fof(f5283,plain,
( $false
| ~ spl0_202
| ~ spl0_234 ),
inference(resolution,[],[f5206,f4409]) ).
fof(f5299,plain,
( ~ spl0_234
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f5284]) ).
fof(f5284,plain,
( $false
| ~ spl0_234
| ~ spl0_240 ),
inference(resolution,[],[f5206,f5229]) ).
fof(f5229,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_240 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f5228,plain,
( spl0_240
<=> ! [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_240])]) ).
fof(f5298,plain,
( ~ spl0_234
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f5285]) ).
fof(f5285,plain,
( $false
| ~ spl0_234
| ~ spl0_236 ),
inference(resolution,[],[f5206,f5213]) ).
fof(f5213,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X1,X0)))
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f5212]) ).
fof(f5212,plain,
( spl0_236
<=> ! [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_236])]) ).
fof(f5297,plain,
( ~ spl0_21
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5286]) ).
fof(f5286,plain,
( $false
| ~ spl0_21
| ~ spl0_234 ),
inference(resolution,[],[f5206,f136]) ).
fof(f5296,plain,
( ~ spl0_25
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5287]) ).
fof(f5287,plain,
( $false
| ~ spl0_25
| ~ spl0_234 ),
inference(resolution,[],[f5206,f160]) ).
fof(f5295,plain,
( ~ spl0_86
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5288]) ).
fof(f5288,plain,
( $false
| ~ spl0_86
| ~ spl0_234 ),
inference(resolution,[],[f5206,f907]) ).
fof(f907,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f906,plain,
( spl0_86
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f5294,plain,
( ~ spl0_28
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5289]) ).
fof(f5289,plain,
( $false
| ~ spl0_28
| ~ spl0_234 ),
inference(resolution,[],[f5206,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(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(f5293,plain,
( ~ spl0_34
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5290]) ).
fof(f5290,plain,
( $false
| ~ spl0_34
| ~ spl0_234 ),
inference(resolution,[],[f5206,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(f5292,plain,
( ~ spl0_66
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f5291]) ).
fof(f5291,plain,
( $false
| ~ spl0_66
| ~ spl0_234 ),
inference(resolution,[],[f5206,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(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(f5230,plain,
( spl0_240
| ~ spl0_55
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f618,f588,f442,f5228]) ).
fof(f618,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,[],[f589,f443]) ).
fof(f5226,plain,
( spl0_239
| ~ spl0_30
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f608,f588,f188,f5224]) ).
fof(f608,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,[],[f589,f189]) ).
fof(f5222,plain,
( spl0_238
| ~ spl0_10
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f598,f588,f60,f5220]) ).
fof(f598,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,[],[f589,f61]) ).
fof(f5218,plain,
( spl0_237
| ~ spl0_17
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f463,f446,f102,f5216]) ).
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(f5214,plain,
( spl0_236
| ~ spl0_54
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f462,f446,f417,f5212]) ).
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(f5210,plain,
( spl0_234
| spl0_235
| ~ spl0_93
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3083,f2685,f933,f5208,f5205]) ).
fof(f5208,plain,
( spl0_235
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f3083,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(not(not(X0))) )
| ~ spl0_93
| ~ spl0_157 ),
inference(resolution,[],[f2686,f934]) ).
fof(f5203,plain,
( spl0_233
| ~ spl0_19
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f595,f588,f117,f5201]) ).
fof(f5201,plain,
( spl0_233
<=> ! [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_233])]) ).
fof(f595,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,[],[f589,f118]) ).
fof(f5199,plain,
( spl0_232
| ~ spl0_52
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f585,f539,f361,f5197]) ).
fof(f5197,plain,
( spl0_232
<=> ! [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_232])]) ).
fof(f585,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(f5195,plain,
( spl0_231
| ~ spl0_52
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f580,f535,f361,f5193]) ).
fof(f5193,plain,
( spl0_231
<=> ! [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_231])]) ).
fof(f580,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(f5191,plain,
( spl0_230
| ~ spl0_31
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f577,f535,f192,f5189]) ).
fof(f5189,plain,
( spl0_230
<=> ! [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_230])]) ).
fof(f577,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(f5187,plain,
( spl0_229
| ~ spl0_12
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f555,f526,f71,f5185]) ).
fof(f5185,plain,
( spl0_229
<=> ! [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_229])]) ).
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(f5183,plain,
( spl0_228
| ~ spl0_52
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f545,f522,f361,f5181]) ).
fof(f5181,plain,
( spl0_228
<=> ! [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_228])]) ).
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(f5179,plain,
( spl0_227
| ~ spl0_31
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f543,f522,f192,f5177]) ).
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(f5175,plain,
( spl0_226
| ~ spl0_17
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f511,f483,f102,f5173]) ).
fof(f5173,plain,
( spl0_226
<=> ! [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_226])]) ).
fof(f511,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,[],[f484,f103]) ).
fof(f5171,plain,
( spl0_225
| ~ spl0_54
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f510,f483,f417,f5169]) ).
fof(f5169,plain,
( spl0_225
<=> ! [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_225])]) ).
fof(f510,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,[],[f484,f418]) ).
fof(f5167,plain,
( spl0_224
| ~ spl0_15
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f503,f479,f85,f5165]) ).
fof(f503,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,[],[f480,f86]) ).
fof(f5163,plain,
( spl0_223
| ~ spl0_48
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f987,f933,f314,f5161]) ).
fof(f5161,plain,
( spl0_223
<=> ! [X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f987,plain,
( ! [X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,X0)) )
| ~ spl0_48
| ~ spl0_93 ),
inference(resolution,[],[f934,f315]) ).
fof(f5159,plain,
( spl0_222
| ~ spl0_31
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f466,f450,f192,f5157]) ).
fof(f5157,plain,
( spl0_222
<=> ! [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_222])]) ).
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(f5155,plain,
( spl0_221
| ~ spl0_34
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f412,f361,f230,f5153]) ).
fof(f5153,plain,
( spl0_221
<=> ! [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_221])]) ).
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(f5151,plain,
( spl0_220
| ~ spl0_14
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f396,f361,f80,f5149]) ).
fof(f5149,plain,
( spl0_220
<=> ! [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_220])]) ).
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(f5147,plain,
( spl0_219
| ~ spl0_36
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f395,f361,f239,f5145]) ).
fof(f5145,plain,
( spl0_219
<=> ! [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_219])]) ).
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(f4850,plain,
( spl0_218
| ~ spl0_15
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f977,f918,f85,f4848]) ).
fof(f4848,plain,
( spl0_218
<=> ! [X0] :
( ~ theorem(not(X0))
| theorem(not(or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f977,plain,
( ! [X0] :
( ~ theorem(not(X0))
| theorem(not(or(X0,X0))) )
| ~ spl0_15
| ~ spl0_89 ),
inference(resolution,[],[f919,f86]) ).
fof(f4535,plain,
( spl0_217
| ~ spl0_45
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f970,f914,f296,f4533]) ).
fof(f4533,plain,
( spl0_217
<=> ! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f914,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(f970,plain,
( ! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(X0) )
| ~ spl0_45
| ~ spl0_88 ),
inference(resolution,[],[f915,f297]) ).
fof(f915,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X2,X0)))
| theorem(or(not(X0),X1)) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f4466,plain,
( spl0_216
| ~ spl0_46
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f617,f588,f300,f4464]) ).
fof(f617,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,[],[f589,f301]) ).
fof(f4462,plain,
( spl0_215
| ~ spl0_50
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f584,f535,f322,f4460]) ).
fof(f584,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(f4458,plain,
( spl0_214
| ~ spl0_15
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f579,f535,f85,f4456]) ).
fof(f579,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(f4454,plain,
( spl0_213
| ~ spl0_27
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f574,f526,f171,f4452]) ).
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(f4450,plain,
( spl0_212
| ~ spl0_52
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f519,f487,f361,f4448]) ).
fof(f4448,plain,
( spl0_212
<=> ! [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_212])]) ).
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,[],[f488,f362]) ).
fof(f4446,plain,
( spl0_211
| ~ spl0_31
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f514,f487,f192,f4444]) ).
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,[],[f488,f193]) ).
fof(f4442,plain,
( spl0_210
| ~ spl0_52
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f508,f483,f361,f4440]) ).
fof(f508,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,[],[f484,f362]) ).
fof(f4438,plain,
( spl0_209
| ~ spl0_16
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f827,f777,f92,f4436]) ).
fof(f4436,plain,
( spl0_209
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f827,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_16
| ~ spl0_79 ),
inference(resolution,[],[f778,f93]) ).
fof(f4434,plain,
( spl0_208
| ~ spl0_52
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f504,f479,f361,f4432]) ).
fof(f4432,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(f504,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,[],[f480,f362]) ).
fof(f4430,plain,
( spl0_207
| ~ spl0_51
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f498,f479,f357,f4428]) ).
fof(f498,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,[],[f480,f358]) ).
fof(f4426,plain,
( spl0_206
| ~ spl0_52
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f496,f475,f361,f4424]) ).
fof(f496,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,[],[f476,f362]) ).
fof(f4422,plain,
( spl0_205
| ~ spl0_31
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f491,f475,f192,f4420]) ).
fof(f4420,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(f491,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,[],[f476,f193]) ).
fof(f4418,plain,
( spl0_204
| ~ spl0_50
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f464,f446,f322,f4416]) ).
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(f4414,plain,
( spl0_203
| ~ spl0_17
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f457,f442,f102,f4412]) ).
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(f4410,plain,
( spl0_202
| ~ spl0_54
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f456,f442,f417,f4408]) ).
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(f4406,plain,
( spl0_201
| ~ spl0_33
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f410,f361,f221,f4404]) ).
fof(f4404,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(f4402,plain,
( spl0_200
| ~ spl0_32
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f405,f361,f217,f4400]) ).
fof(f4400,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(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(f4398,plain,
( spl0_199
| ~ spl0_19
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f394,f361,f117,f4396]) ).
fof(f4396,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(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(f4394,plain,
( spl0_198
| ~ spl0_40
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f400,f361,f268,f4392]) ).
fof(f4392,plain,
( spl0_198
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f400,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(X0))) )
| ~ spl0_40
| ~ spl0_52 ),
inference(resolution,[],[f362,f269]) ).
fof(f4390,plain,
( spl0_197
| ~ spl0_32
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f385,f357,f217,f4388]) ).
fof(f4388,plain,
( spl0_197
<=> ! [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_197])]) ).
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(f4386,plain,
( spl0_196
| ~ spl0_30
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f383,f357,f188,f4384]) ).
fof(f4384,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(f4049,plain,
( spl0_195
| ~ spl0_40
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f380,f357,f268,f4047]) ).
fof(f380,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_51 ),
inference(resolution,[],[f358,f269]) ).
fof(f3919,plain,
( spl0_194
| ~ spl0_51
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f576,f535,f357,f3917]) ).
fof(f576,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(f3915,plain,
( spl0_193
| ~ spl0_26
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f568,f526,f163,f3913]) ).
fof(f3913,plain,
( spl0_193
<=> ! [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_193])]) ).
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(f3910,plain,
( spl0_192
| ~ spl0_51
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f542,f522,f357,f3908]) ).
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(f3906,plain,
( spl0_191
| ~ spl0_50
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f512,f483,f322,f3904]) ).
fof(f512,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,[],[f484,f323]) ).
fof(f3902,plain,
( spl0_190
| ~ spl0_52
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f469,f450,f361,f3900]) ).
fof(f3900,plain,
( spl0_190
<=> ! [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_190])]) ).
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(f3898,plain,
( spl0_189
| ~ spl0_15
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f468,f450,f85,f3896]) ).
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(f3894,plain,
( spl0_188
| ~ spl0_51
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f465,f450,f357,f3892]) ).
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(f3890,plain,
( spl0_187
| ~ spl0_52
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f460,f446,f361,f3888]) ).
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(f3886,plain,
( spl0_186
| ~ spl0_52
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f454,f442,f361,f3884]) ).
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(f3882,plain,
( spl0_185
| ~ spl0_28
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f411,f361,f180,f3880]) ).
fof(f3880,plain,
( spl0_185
<=> ! [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_185])]) ).
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(f3878,plain,
( spl0_184
| ~ spl0_29
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f404,f361,f184,f3876]) ).
fof(f3876,plain,
( spl0_184
<=> ! [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_184])]) ).
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(f3874,plain,
( spl0_183
| ~ spl0_30
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f403,f361,f188,f3872]) ).
fof(f3872,plain,
( spl0_183
<=> ! [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_183])]) ).
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(f3852,plain,
( spl0_182
| ~ spl0_12
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f393,f361,f71,f3850]) ).
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(f3848,plain,
( spl0_181
| ~ spl0_29
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f384,f357,f184,f3846]) ).
fof(f3846,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(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(f3844,plain,
( spl0_180
| ~ spl0_14
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f376,f357,f80,f3842]) ).
fof(f3842,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(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(f3840,plain,
( spl0_179
| ~ spl0_36
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f375,f357,f239,f3838]) ).
fof(f3838,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(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(f3655,plain,
( spl0_178
| ~ spl0_79
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2670,f2285,f777,f3653]) ).
fof(f2670,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) )
| ~ spl0_79
| ~ spl0_137 ),
inference(resolution,[],[f2286,f778]) ).
fof(f3342,plain,
( spl0_177
| ~ spl0_14
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f600,f588,f80,f3340]) ).
fof(f600,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,[],[f589,f81]) ).
fof(f3338,plain,
( spl0_176
| ~ spl0_36
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f597,f588,f239,f3336]) ).
fof(f597,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,[],[f589,f240]) ).
fof(f3334,plain,
( spl0_175
| ~ spl0_16
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f581,f535,f92,f3332]) ).
fof(f581,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(f3330,plain,
( spl0_174
| ~ spl0_16
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1732,f811,f92,f3328]) ).
fof(f1732,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X1),X0))
| ~ spl0_16
| ~ spl0_80 ),
inference(resolution,[],[f812,f93]) ).
fof(f3326,plain,
( spl0_173
| ~ spl0_22
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f564,f526,f139,f3324]) ).
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(f3322,plain,
( spl0_172
| ~ spl0_47
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f553,f526,f310,f3320]) ).
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(f3318,plain,
( spl0_171
| ~ spl0_16
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f546,f522,f92,f3316]) ).
fof(f3316,plain,
( spl0_171
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
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(f3314,plain,
( spl0_170
| ~ spl0_6
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f500,f479,f41,f3312]) ).
fof(f500,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,[],[f480,f42]) ).
fof(f3310,plain,
( spl0_169
| ~ spl0_51
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f490,f475,f357,f3308]) ).
fof(f490,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,[],[f476,f358]) ).
fof(f3306,plain,
( spl0_168
| ~ spl0_50
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f458,f442,f322,f3304]) ).
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(f3302,plain,
( spl0_167
| ~ spl0_14
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f428,f417,f80,f3300]) ).
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(f3298,plain,
( spl0_166
| ~ spl0_36
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f425,f417,f239,f3296]) ).
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(f3294,plain,
( spl0_165
| ~ spl0_19
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f374,f357,f117,f3292]) ).
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(f3290,plain,
( spl0_164
| ~ spl0_33
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f329,f314,f221,f3288]) ).
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(f2804,plain,
( spl0_163
| ~ spl0_75
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2673,f2285,f739,f2802]) ).
fof(f2673,plain,
( ! [X0] : ~ theorem(not(or(X0,not(X0))))
| ~ spl0_75
| ~ spl0_137 ),
inference(resolution,[],[f2286,f740]) ).
fof(f2707,plain,
( spl0_162
| ~ spl0_26
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f638,f621,f163,f2705]) ).
fof(f638,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_26
| ~ spl0_68 ),
inference(resolution,[],[f622,f164]) ).
fof(f2703,plain,
( spl0_161
| ~ spl0_11
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f626,f621,f66,f2701]) ).
fof(f626,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_11
| ~ spl0_68 ),
inference(resolution,[],[f622,f67]) ).
fof(f2699,plain,
( spl0_160
| ~ spl0_27
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f611,f588,f171,f2697]) ).
fof(f611,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,[],[f589,f172]) ).
fof(f2695,plain,
( spl0_159
| ~ spl0_6
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f578,f535,f41,f2693]) ).
fof(f578,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(f2691,plain,
( spl0_158
| ~ spl0_11
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f554,f526,f66,f2689]) ).
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(f2687,plain,
( spl0_157
| ~ spl0_6
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f544,f522,f41,f2685]) ).
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(f2650,plain,
( spl0_156
| ~ spl0_16
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f520,f487,f92,f2648]) ).
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,[],[f488,f93]) ).
fof(f2646,plain,
( spl0_155
| ~ spl0_17
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f517,f487,f102,f2644]) ).
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,[],[f488,f103]) ).
fof(f2642,plain,
( spl0_154
| ~ spl0_54
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f516,f487,f417,f2640]) ).
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,[],[f488,f418]) ).
fof(f2638,plain,
( spl0_153
| ~ spl0_16
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f505,f479,f92,f2636]) ).
fof(f2636,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f505,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) )
| ~ spl0_16
| ~ spl0_59 ),
inference(resolution,[],[f480,f93]) ).
fof(f2634,plain,
( spl0_152
| ~ spl0_17
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f502,f479,f102,f2632]) ).
fof(f502,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) )
| ~ spl0_17
| ~ spl0_59 ),
inference(resolution,[],[f480,f103]) ).
fof(f2630,plain,
( spl0_151
| ~ spl0_54
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f501,f479,f417,f2628]) ).
fof(f501,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) )
| ~ spl0_54
| ~ spl0_59 ),
inference(resolution,[],[f480,f418]) ).
fof(f2626,plain,
( spl0_150
| ~ spl0_16
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f497,f475,f92,f2624]) ).
fof(f497,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) )
| ~ spl0_16
| ~ spl0_58 ),
inference(resolution,[],[f476,f93]) ).
fof(f2622,plain,
( spl0_149
| ~ spl0_17
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f494,f475,f102,f2620]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) )
| ~ spl0_17
| ~ spl0_58 ),
inference(resolution,[],[f476,f103]) ).
fof(f2618,plain,
( spl0_148
| ~ spl0_54
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f493,f475,f417,f2616]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) )
| ~ spl0_54
| ~ spl0_58 ),
inference(resolution,[],[f476,f418]) ).
fof(f2614,plain,
( spl0_147
| ~ spl0_6
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f467,f450,f41,f2612]) ).
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(f2610,plain,
( spl0_146
| ~ spl0_21
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1884,f1810,f135,f2608]) ).
fof(f1884,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_21
| ~ spl0_109 ),
inference(resolution,[],[f1811,f136]) ).
fof(f2606,plain,
( spl0_145
| ~ spl0_49
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f440,f417,f318,f2604]) ).
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(f2602,plain,
( spl0_144
| ~ spl0_32
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f433,f417,f217,f2600]) ).
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(f2598,plain,
( spl0_143
| ~ spl0_47
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f427,f417,f310,f2596]) ).
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(f2594,plain,
( spl0_142
| ~ spl0_19
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f424,f417,f117,f2592]) ).
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(f2590,plain,
( spl0_141
| ~ spl0_12
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f373,f357,f71,f2588]) ).
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(f2586,plain,
( spl0_140
| ~ spl0_17
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f340,f318,f102,f2584]) ).
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(f2582,plain,
( spl0_139
| ~ spl0_27
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f336,f314,f171,f2580]) ).
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(f2578,plain,
( spl0_138
| ~ spl0_17
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f328,f310,f102,f2576]) ).
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(f2287,plain,
( spl0_137
| ~ spl0_77
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f975,f918,f769,f2285]) ).
fof(f975,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) )
| ~ spl0_77
| ~ spl0_89 ),
inference(resolution,[],[f919,f770]) ).
fof(f2133,plain,
( spl0_136
| ~ spl0_26
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f606,f588,f163,f2131]) ).
fof(f606,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_26
| ~ spl0_67 ),
inference(resolution,[],[f589,f164]) ).
fof(f2129,plain,
( spl0_135
| ~ spl0_29
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f604,f588,f184,f2127]) ).
fof(f604,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_29
| ~ spl0_67 ),
inference(resolution,[],[f589,f185]) ).
fof(f2125,plain,
( spl0_134
| ~ spl0_11
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f593,f588,f66,f2123]) ).
fof(f593,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_11
| ~ spl0_67 ),
inference(resolution,[],[f589,f67]) ).
fof(f2121,plain,
( spl0_133
| ~ spl0_6
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f492,f475,f41,f2119]) ).
fof(f492,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_6
| ~ spl0_58 ),
inference(resolution,[],[f476,f42]) ).
fof(f2117,plain,
( spl0_132
| ~ spl0_16
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f470,f450,f92,f2115]) ).
fof(f2115,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
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(f2113,plain,
( spl0_131
| ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f439,f417,f300,f2111]) ).
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(f2109,plain,
( spl0_130
| ~ spl0_29
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f432,f417,f184,f2107]) ).
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(f2105,plain,
( spl0_129
| ~ spl0_30
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f431,f417,f188,f2103]) ).
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(f2101,plain,
( spl0_128
| ~ spl0_10
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f426,f417,f60,f2099]) ).
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(f2097,plain,
( spl0_127
| ~ spl0_12
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f423,f417,f71,f2095]) ).
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(f2093,plain,
( spl0_126
| ~ spl0_49
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f415,f361,f318,f2091]) ).
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(f2089,plain,
( spl0_125
| ~ spl0_27
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f407,f361,f171,f2087]) ).
fof(f2087,plain,
( spl0_125
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
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(f2085,plain,
( spl0_124
| ~ spl0_47
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f391,f361,f310,f2083]) ).
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(f2081,plain,
( spl0_123
| ~ spl0_27
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f387,f357,f171,f2079]) ).
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(f2077,plain,
( spl0_122
| ~ spl0_12
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f344,f322,f71,f2075]) ).
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(f2073,plain,
( ~ spl0_121
| spl0_1
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1944,f1818,f18,f2070]) ).
fof(f1944,plain,
( ~ theorem(not(or(q,p)))
| spl0_1
| ~ spl0_111 ),
inference(resolution,[],[f1819,f20]) ).
fof(f2068,plain,
( spl0_120
| ~ spl0_31
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f325,f310,f192,f2066]) ).
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(f2064,plain,
( spl0_119
| ~ spl0_17
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f305,f300,f102,f2062]) ).
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(f1853,plain,
( spl0_118
| ~ 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_117
| ~ 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_116
| ~ spl0_50
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f518,f487,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,[],[f488,f323]) ).
fof(f1841,plain,
( spl0_115
| ~ spl0_50
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f495,f475,f322,f1839]) ).
fof(f495,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) )
| ~ spl0_50
| ~ spl0_58 ),
inference(resolution,[],[f476,f323]) ).
fof(f1837,plain,
( spl0_114
| ~ 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_113
| ~ spl0_25
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f409,f361,f159,f1831]) ).
fof(f1831,plain,
( spl0_113
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
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(f1824,plain,
( spl0_112
| ~ spl0_26
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f402,f361,f163,f1822]) ).
fof(f1822,plain,
( spl0_112
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
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(f1820,plain,
( spl0_111
| ~ spl0_11
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f392,f361,f66,f1818]) ).
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(f1816,plain,
( spl0_110
| ~ spl0_26
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f382,f357,f163,f1814]) ).
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(f1812,plain,
( spl0_109
| ~ spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f355,f322,f318,f1810]) ).
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(f1808,plain,
( spl0_108
| ~ spl0_47
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f347,f322,f310,f1806]) ).
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(f1804,plain,
( spl0_107
| ~ spl0_19
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f345,f322,f117,f1802]) ).
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(f1704,plain,
( spl0_106
| ~ spl0_23
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f605,f588,f143,f1702]) ).
fof(f605,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_23
| ~ spl0_67 ),
inference(resolution,[],[f589,f144]) ).
fof(f1700,plain,
( spl0_105
| ~ spl0_7
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f591,f588,f46,f1698]) ).
fof(f591,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_7
| ~ spl0_67 ),
inference(resolution,[],[f589,f47]) ).
fof(f1639,plain,
( spl0_104
| ~ spl0_16
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f762,f739,f92,f1637]) ).
fof(f762,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_16
| ~ spl0_75 ),
inference(resolution,[],[f740,f93]) ).
fof(f1285,plain,
( ~ spl0_103
| spl0_1
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f998,f937,f18,f1282]) ).
fof(f998,plain,
( ~ theorem(or(not(or(p,q)),not(not(p))))
| spl0_1
| ~ spl0_94 ),
inference(resolution,[],[f938,f20]) ).
fof(f1061,plain,
( spl0_1
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| spl0_1
| ~ spl0_92 ),
inference(resolution,[],[f930,f20]) ).
fof(f930,plain,
( ! [X0,X1] : theorem(or(X0,X1))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f929,plain,
( spl0_92
<=> ! [X0,X1] : theorem(or(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1060,plain,
( spl0_38
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1053,plain,
( $false
| spl0_38
| ~ spl0_92 ),
inference(resolution,[],[f930,f255]) ).
fof(f1059,plain,
( spl0_18
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| spl0_18
| ~ spl0_92 ),
inference(resolution,[],[f930,f114]) ).
fof(f1051,plain,
( spl0_102
| spl0_92
| ~ spl0_44
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f406,f361,f286,f929,f1049]) ).
fof(f1049,plain,
( spl0_102
<=> ! [X2,X3] :
( ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
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(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(f287,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(X0) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f1047,plain,
( spl0_101
| ~ spl0_22
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f379,f357,f139,f1045]) ).
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(f1043,plain,
( ~ spl0_100
| spl0_1
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f955,f910,f18,f1040]) ).
fof(f955,plain,
( ~ theorem(or(q,not(not(p))))
| spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f911,f20]) ).
fof(f1038,plain,
( spl0_99
| ~ spl0_47
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f371,f357,f310,f1036]) ).
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(f1034,plain,
( spl0_98
| ~ spl0_46
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f354,f322,f300,f1032]) ).
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(f1030,plain,
( spl0_97
| ~ spl0_10
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f346,f322,f60,f1028]) ).
fof(f346,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_10
| ~ spl0_50 ),
inference(resolution,[],[f323,f61]) ).
fof(f954,plain,
( spl0_96
| ~ spl0_17
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f759,f739,f102,f952]) ).
fof(f759,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_17
| ~ spl0_75 ),
inference(resolution,[],[f740,f103]) ).
fof(f943,plain,
( spl0_95
| ~ spl0_44
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f610,f588,f286,f941]) ).
fof(f610,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_44
| ~ spl0_67 ),
inference(resolution,[],[f589,f287]) ).
fof(f939,plain,
( spl0_94
| ~ spl0_27
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f435,f417,f171,f937]) ).
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(f935,plain,
( spl0_93
| ~ spl0_21
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f408,f361,f135,f933]) ).
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(f931,plain,
( spl0_91
| spl0_92
| ~ spl0_23
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f401,f361,f143,f929,f926]) ).
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(f924,plain,
( spl0_90
| ~ spl0_22
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f399,f361,f139,f922]) ).
fof(f399,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_22
| ~ spl0_52 ),
inference(resolution,[],[f362,f140]) ).
fof(f920,plain,
( spl0_89
| ~ spl0_10
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f390,f361,f60,f918]) ).
fof(f390,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_10
| ~ spl0_52 ),
inference(resolution,[],[f362,f61]) ).
fof(f916,plain,
( spl0_88
| ~ spl0_7
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f388,f361,f46,f914]) ).
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(f912,plain,
( spl0_87
| ~ spl0_11
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f372,f357,f66,f910]) ).
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(f908,plain,
( spl0_86
| ~ spl0_16
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f752,f735,f92,f906]) ).
fof(f752,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_16
| ~ spl0_74 ),
inference(resolution,[],[f736,f93]) ).
fof(f904,plain,
( spl0_85
| ~ spl0_16
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f327,f310,f92,f902]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) )
| ~ spl0_16
| ~ spl0_47 ),
inference(resolution,[],[f311,f93]) ).
fof(f844,plain,
( spl0_84
| ~ spl0_26
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f430,f417,f163,f842]) ).
fof(f430,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_26
| ~ spl0_54 ),
inference(resolution,[],[f418,f164]) ).
fof(f840,plain,
( spl0_83
| ~ spl0_6
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f326,f310,f41,f838]) ).
fof(f326,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) )
| ~ spl0_6
| ~ spl0_47 ),
inference(resolution,[],[f311,f42]) ).
fof(f836,plain,
( spl0_82
| ~ spl0_17
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f284,f279,f102,f834]) ).
fof(f284,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_17
| ~ spl0_43 ),
inference(resolution,[],[f280,f103]) ).
fof(f832,plain,
( spl0_81
| ~ spl0_17
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f266,f260,f102,f830]) ).
fof(f266,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_17
| ~ spl0_39 ),
inference(resolution,[],[f261,f103]) ).
fof(f813,plain,
( spl0_80
| ~ spl0_17
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f748,f735,f102,f811]) ).
fof(f748,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_17
| ~ spl0_74 ),
inference(resolution,[],[f736,f103]) ).
fof(f779,plain,
( spl0_79
| ~ spl0_7
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f368,f357,f46,f777]) ).
fof(f368,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_51 ),
inference(resolution,[],[f358,f47]) ).
fof(f775,plain,
( spl0_78
| ~ spl0_48
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f337,f318,f314,f773]) ).
fof(f337,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_48
| ~ spl0_49 ),
inference(resolution,[],[f319,f315]) ).
fof(f771,plain,
( spl0_77
| ~ spl0_42
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f303,f296,f275,f769]) ).
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(f767,plain,
( spl0_76
| ~ spl0_16
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f294,f286,f92,f765]) ).
fof(f294,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_16
| ~ spl0_44 ),
inference(resolution,[],[f287,f93]) ).
fof(f741,plain,
( spl0_75
| ~ spl0_23
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f429,f417,f143,f739]) ).
fof(f429,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_23
| ~ spl0_54 ),
inference(resolution,[],[f418,f144]) ).
fof(f737,plain,
( spl0_74
| ~ spl0_7
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f420,f417,f46,f735]) ).
fof(f420,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_7
| ~ spl0_54 ),
inference(resolution,[],[f418,f47]) ).
fof(f708,plain,
( spl0_73
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f224,f217,f192,f706]) ).
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(f704,plain,
( spl0_72
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f213,f192,f188,f702]) ).
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(f664,plain,
( spl0_71
| ~ spl0_31
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f243,f239,f192,f662]) ).
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(f660,plain,
( spl0_70
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f214,f192,f184,f658]) ).
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(f656,plain,
( spl0_69
| ~ spl0_14
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f207,f192,f80,f654]) ).
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(f623,plain,
( spl0_68
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f206,f192,f117,f621]) ).
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(f590,plain,
( spl0_67
| ~ spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f205,f192,f71,f588]) ).
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_35
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f472,f365,f234,f530]) ).
fof(f472,plain,
( ~ theorem(p)
| spl0_35
| ~ spl0_53 ),
inference(resolution,[],[f366,f236]) ).
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(f489,plain,
( spl0_61
| ~ spl0_6
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f244,f239,f41,f487]) ).
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(f485,plain,
( spl0_60
| ~ spl0_16
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f227,f217,f92,f483]) ).
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(f481,plain,
( spl0_59
| ~ spl0_26
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f212,f192,f163,f479]) ).
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(f477,plain,
( spl0_58
| ~ spl0_6
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f196,f184,f41,f475]) ).
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,[],[f129,f125,f41,f275,f272]) ).
fof(f129,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(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(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,[],[f130,f125,f112,f234]) ).
fof(f130,plain,
( ~ theorem(not(not(p)))
| 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(f75,plain,
( spl0_13
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
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(f76,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f75]) ).
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(not(p)),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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f10,f18]) ).
fof(f10,plain,
~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
inference(definition_unfolding,[],[f9,f6,f6]) ).
fof(f9,axiom,
~ theorem(implies(or(p,q),implies(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:35:43 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (29212)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (29215)WARNING: value z3 for option sas not known
% 0.14/0.37 % (29214)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (29216)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (29217)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)
% 0.14/0.37 % (29215)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)
% 0.14/0.37 % (29213)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (29218)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)
% 0.14/0.37 % (29219)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.43 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.54 TRYING [6]
% 1.60/0.59 TRYING [6]
% 3.00/0.79 TRYING [1]
% 3.00/0.79 TRYING [2]
% 3.00/0.80 TRYING [3]
% 3.00/0.80 TRYING [4]
% 3.00/0.83 TRYING [5]
% 4.09/0.94 TRYING [6]
% 4.27/0.96 TRYING [7]
% 5.86/1.20 TRYING [7]
% 7.22/1.41 TRYING [7]
% 18.31/2.99 TRYING [8]
% 23.98/3.84 TRYING [8]
% 24.62/3.87 TRYING [8]
% 67.44/9.97 % (29217)First to succeed.
% 67.44/10.00 % (29217)Refutation found. Thanks to Tanya!
% 67.44/10.00 % SZS status Unsatisfiable for theBenchmark
% 67.44/10.00 % SZS output start Proof for theBenchmark
% See solution above
% 67.83/10.01 % (29217)------------------------------
% 67.83/10.01 % (29217)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 67.83/10.01 % (29217)Termination reason: Refutation
% 67.83/10.01
% 67.83/10.01 % (29217)Memory used [KB]: 25903
% 67.83/10.01 % (29217)Time elapsed: 9.618 s
% 67.83/10.01 % (29217)Instructions burned: 28116 (million)
% 67.83/10.01 % (29217)------------------------------
% 67.83/10.01 % (29217)------------------------------
% 67.83/10.01 % (29212)Success in time 9.613 s
%------------------------------------------------------------------------------