TSTP Solution File: LCL248-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL248-3 : 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 : n015.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 13:41:23 EDT 2024
% Result : Unsatisfiable 29.76s 4.64s
% Output : Refutation 29.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 439
% Syntax : Number of formulae : 1615 ( 23 unt; 0 def)
% Number of atoms : 5121 ( 2 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 6664 (3158 ~;3077 |; 0 &)
% ( 429 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 433 ( 431 usr; 430 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 2977 (2977 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31698,plain,
$false,
inference(avatar_sat_refutation,[],[f22,f26,f30,f34,f40,f44,f49,f53,f58,f63,f69,f74,f78,f83,f88,f95,f105,f116,f120,f128,f138,f142,f146,f154,f162,f166,f174,f183,f187,f191,f195,f220,f224,f233,f238,f242,f252,f257,f263,f271,f278,f282,f289,f299,f303,f313,f317,f321,f325,f360,f364,f368,f420,f445,f449,f453,f478,f482,f486,f490,f525,f529,f534,f538,f542,f591,f624,f659,f663,f667,f707,f711,f741,f745,f749,f775,f779,f783,f787,f836,f840,f844,f848,f908,f912,f916,f920,f924,f928,f935,f939,f943,f947,f951,f1034,f1038,f1043,f1047,f1051,f1055,f1064,f1065,f1066,f1067,f1397,f1704,f1708,f1724,f1801,f1805,f1809,f1813,f1817,f1821,f1825,f1829,f1833,f1837,f1841,f1845,f1849,f2055,f2065,f2069,f2073,f2077,f2081,f2085,f2089,f2093,f2097,f2101,f2105,f2109,f2113,f2117,f2121,f2125,f2129,f2582,f2586,f2590,f2594,f2598,f2602,f2606,f2610,f2614,f2618,f2622,f2626,f2630,f2634,f2638,f2642,f2646,f2650,f2687,f2691,f2695,f2699,f2703,f2707,f2711,f2787,f3294,f3298,f3302,f3306,f3310,f3314,f3318,f3322,f3326,f3330,f3334,f3338,f3342,f3346,f3575,f3844,f3848,f3852,f3874,f3878,f3882,f3886,f3890,f3894,f3898,f3902,f3906,f3910,f3915,f3919,f3923,f4032,f4390,f4394,f4398,f4402,f4406,f4410,f4414,f4418,f4422,f4426,f4430,f4434,f4438,f4442,f4446,f4450,f4454,f4458,f4462,f4466,f4470,f4538,f4830,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,f8294,f9107,f9111,f9115,f9119,f9123,f9127,f9131,f9135,f9139,f9143,f9172,f9176,f9180,f9184,f9188,f9192,f9196,f9200,f9204,f9208,f9252,f9256,f9260,f9264,f10311,f10631,f10661,f10665,f10669,f10673,f10677,f10681,f10685,f10689,f10693,f10769,f10773,f10777,f10781,f10785,f10789,f10793,f10797,f10801,f10805,f10810,f10814,f10818,f11501,f12414,f12621,f12625,f12629,f12633,f12637,f12641,f12645,f12649,f12653,f12657,f12661,f12665,f12962,f13678,f13682,f13686,f13690,f13694,f13698,f13702,f13706,f13710,f13714,f13718,f13722,f13726,f13777,f14488,f14507,f14511,f14515,f14519,f14523,f14527,f14531,f14654,f14974,f14978,f14982,f14986,f14990,f14994,f14998,f15002,f15006,f15010,f15014,f15018,f15371,f16099,f16103,f16107,f16111,f16129,f16130,f16131,f16132,f16133,f16134,f16135,f16136,f16137,f16138,f16139,f16140,f16141,f16617,f25105,f25840,f26502,f26506,f26510,f26514,f26518,f27272,f27276,f27280,f27284,f27288,f27292,f27811,f27815,f27819,f27886,f28334,f28338,f28342,f28662,f28666,f28834,f28939,f29854,f29858,f29862,f29866,f29870,f29874,f29878,f29882,f29886,f29890,f29894,f29898,f29902,f29906,f29910,f29914,f29918,f29922,f29926,f29930,f29934,f29938,f29942,f29946,f29950,f29954,f29958,f30314,f30914,f31551,f31555,f31560,f31564,f31568,f31572,f31576,f31580,f31584,f31588,f31592,f31596,f31604,f31608,f31612,f31616,f31620,f31624,f31628,f31632,f31636,f31640,f31645,f31649,f31653,f31657,f31661,f31665,f31669,f31673,f31677,f31681,f31685,f31697]) ).
fof(f31697,plain,
( ~ spl0_106
| spl0_419 ),
inference(avatar_contradiction_clause,[],[f31686]) ).
fof(f31686,plain,
( $false
| ~ spl0_106
| spl0_419 ),
inference(resolution,[],[f31644,f1723]) ).
fof(f1723,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f1722,plain,
( spl0_106
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f31644,plain,
( ~ theorem(or(q,or(not(p),not(q))))
| spl0_419 ),
inference(avatar_component_clause,[],[f31642]) ).
fof(f31642,plain,
( spl0_419
<=> theorem(or(q,or(not(p),not(q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f31685,plain,
( spl0_429
| ~ spl0_76
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f9426,f5169,f747,f31683]) ).
fof(f31683,plain,
( spl0_429
<=> ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f747,plain,
( spl0_76
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f5169,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(f9426,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0))
| ~ spl0_76
| ~ spl0_224 ),
inference(resolution,[],[f5170,f748]) ).
fof(f748,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f5170,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,[],[f5169]) ).
fof(f31681,plain,
( spl0_428
| ~ spl0_23
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f9405,f5169,f144,f31679]) ).
fof(f31679,plain,
( spl0_428
<=> ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f144,plain,
( spl0_23
<=> ! [X0,X1] : theorem(or(X0,or(not(X1),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f9405,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0))
| ~ spl0_23
| ~ spl0_224 ),
inference(resolution,[],[f5170,f145]) ).
fof(f145,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f31677,plain,
( spl0_427
| ~ spl0_20
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f5071,f4460,f126,f31675]) ).
fof(f31675,plain,
( spl0_427
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f126,plain,
( spl0_20
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f4460,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(f5071,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_214 ),
inference(resolution,[],[f4461,f127]) ).
fof(f127,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f4461,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,[],[f4460]) ).
fof(f31673,plain,
( spl0_426
| ~ spl0_115
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f4232,f3913,f1831,f31671]) ).
fof(f31671,plain,
( spl0_426
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f1831,plain,
( spl0_115
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f3913,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(f4232,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) )
| ~ spl0_115
| ~ spl0_192 ),
inference(resolution,[],[f3914,f1832]) ).
fof(f1832,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f3914,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,[],[f3913]) ).
fof(f31669,plain,
( spl0_425
| ~ spl0_40
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3176,f2697,f269,f31667]) ).
fof(f31667,plain,
( spl0_425
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f269,plain,
( spl0_40
<=> ! [X0] : theorem(or(X0,not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f2697,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(f3176,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(not(X0))),X1)) )
| ~ spl0_40
| ~ spl0_159 ),
inference(resolution,[],[f2698,f270]) ).
fof(f270,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f2698,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X2),X0))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f2697]) ).
fof(f31665,plain,
( spl0_424
| ~ spl0_10
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3140,f2697,f61,f31663]) ).
fof(f31663,plain,
( spl0_424
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f61,plain,
( spl0_10
<=> ! [X0] : theorem(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f3140,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_10
| ~ spl0_159 ),
inference(resolution,[],[f2698,f62]) ).
fof(f62,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f31661,plain,
( spl0_423
| ~ spl0_75
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3138,f2697,f743,f31659]) ).
fof(f31659,plain,
( spl0_423
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X0,X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f743,plain,
( spl0_75
<=> ! [X0,X1] : theorem(or(not(X0),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f3138,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X0,X2)),X1)) )
| ~ spl0_75
| ~ spl0_159 ),
inference(resolution,[],[f2698,f744]) ).
fof(f744,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f31657,plain,
( spl0_422
| ~ spl0_7
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f3137,f2697,f47,f31655]) ).
fof(f31655,plain,
( spl0_422
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f47,plain,
( spl0_7
<=> ! [X0,X1] : theorem(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f3137,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X0)),X1)) )
| ~ spl0_7
| ~ spl0_159 ),
inference(resolution,[],[f2698,f48]) ).
fof(f48,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f31653,plain,
( spl0_421
| ~ spl0_49
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3089,f2689,f319,f31651]) ).
fof(f31651,plain,
( spl0_421
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f319,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(f2689,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(f3089,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),X0)) )
| ~ spl0_49
| ~ spl0_157 ),
inference(resolution,[],[f2690,f320]) ).
fof(f320,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f2690,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(X0),X1),or(not(X0),X1)))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f31649,plain,
( spl0_420
| ~ spl0_146
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3084,f2689,f2612,f31647]) ).
fof(f31647,plain,
( spl0_420
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(X0,not(X1)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f2612,plain,
( spl0_146
<=> ! [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_146])]) ).
fof(f3084,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(X0,not(X1)),X0)) )
| ~ spl0_146
| ~ spl0_157 ),
inference(resolution,[],[f2690,f2613]) ).
fof(f2613,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f2612]) ).
fof(f31645,plain,
( ~ spl0_419
| ~ spl0_369
| spl0_395 ),
inference(avatar_split_clause,[],[f31597,f30311,f29856,f31642]) ).
fof(f29856,plain,
( spl0_369
<=> ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f30311,plain,
( spl0_395
<=> theorem(or(q,not(not(or(not(p),not(q)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f31597,plain,
( ~ theorem(or(q,or(not(p),not(q))))
| ~ spl0_369
| spl0_395 ),
inference(resolution,[],[f30313,f29857]) ).
fof(f29857,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f29856]) ).
fof(f30313,plain,
( ~ theorem(or(q,not(not(or(not(p),not(q))))))
| spl0_395 ),
inference(avatar_component_clause,[],[f30311]) ).
fof(f31640,plain,
( spl0_418
| ~ spl0_10
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f2877,f2616,f61,f31638]) ).
fof(f31638,plain,
( spl0_418
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f2616,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(f2877,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X0)) )
| ~ spl0_10
| ~ spl0_147 ),
inference(resolution,[],[f2617,f62]) ).
fof(f2617,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f2616]) ).
fof(f31636,plain,
( spl0_417
| ~ spl0_55
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2729,f2584,f443,f31634]) ).
fof(f31634,plain,
( spl0_417
<=> ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f443,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(f2584,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(f2729,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1)))
| ~ spl0_55
| ~ spl0_139 ),
inference(resolution,[],[f2585,f444]) ).
fof(f444,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f2585,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f2584]) ).
fof(f31632,plain,
( spl0_416
| ~ spl0_15
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2280,f2075,f86,f31630]) ).
fof(f31630,plain,
( spl0_416
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(not(or(X0,not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f86,plain,
( spl0_15
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f2075,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(f2280,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(not(or(X0,not(X1)))) )
| ~ spl0_15
| ~ spl0_124 ),
inference(resolution,[],[f2076,f87]) ).
fof(f87,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f2076,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f31628,plain,
( spl0_415
| ~ spl0_50
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2195,f2067,f323,f31626]) ).
fof(f31626,plain,
( spl0_415
<=> ! [X0] : theorem(or(not(or(X0,or(or(X0,X0),X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f323,plain,
( spl0_50
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2067,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(f2195,plain,
( ! [X0] : theorem(or(not(or(X0,or(or(X0,X0),X0))),X0))
| ~ spl0_50
| ~ spl0_122 ),
inference(resolution,[],[f2068,f324]) ).
fof(f324,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f2068,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f2067]) ).
fof(f31624,plain,
( spl0_414
| ~ spl0_27
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2175,f2063,f172,f31622]) ).
fof(f31622,plain,
( spl0_414
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f172,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(f2063,plain,
( spl0_121
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f2175,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,not(X2))) )
| ~ spl0_27
| ~ spl0_121 ),
inference(resolution,[],[f2064,f173]) ).
fof(f173,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f2064,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,not(X0))))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f31620,plain,
( spl0_413
| ~ spl0_6
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1971,f1835,f42,f31618]) ).
fof(f31618,plain,
( spl0_413
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f42,plain,
( spl0_6
<=> ! [X4,X3] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1835,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1971,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_116 ),
inference(resolution,[],[f1836,f43]) ).
fof(f43,plain,
( ! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f1836,plain,
( ! [X0,X1] :
( theorem(or(not(or(X1,or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1835]) ).
fof(f31616,plain,
( spl0_412
| ~ spl0_82
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1912,f1807,f838,f31614]) ).
fof(f31614,plain,
( spl0_412
<=> ! [X2,X0,X1,X3] : theorem(or(or(X0,or(or(not(X1),X1),X2)),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f838,plain,
( spl0_82
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1807,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(f1912,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(X0,or(or(not(X1),X1),X2)),X3))
| ~ spl0_82
| ~ spl0_109 ),
inference(resolution,[],[f1808,f839]) ).
fof(f839,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f1808,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X2,X2),X1))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f31612,plain,
( spl0_411
| ~ spl0_6
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1866,f1803,f42,f31610]) ).
fof(f31610,plain,
( spl0_411
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(X1,X1),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f1803,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(f1866,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(X1,X1),not(X0))) )
| ~ spl0_6
| ~ spl0_108 ),
inference(resolution,[],[f1804,f43]) ).
fof(f1804,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1803]) ).
fof(f31608,plain,
( spl0_410
| ~ spl0_6
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1853,f1799,f42,f31606]) ).
fof(f31606,plain,
( spl0_410
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f1799,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(f1853,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_107 ),
inference(resolution,[],[f1800,f43]) ).
fof(f1800,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f31604,plain,
( spl0_409
| ~ spl0_16
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1792,f1706,f93,f31602]) ).
fof(f31602,plain,
( spl0_409
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f93,plain,
( spl0_16
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1706,plain,
( spl0_105
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1792,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X1)),X2))
| ~ spl0_16
| ~ spl0_105 ),
inference(resolution,[],[f1707,f94]) ).
fof(f94,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f1707,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f31596,plain,
( spl0_408
| ~ spl0_17
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1788,f1706,f103,f31594]) ).
fof(f31594,plain,
( spl0_408
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f103,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(f1788,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,X2)),X2))))
| ~ spl0_17
| ~ spl0_105 ),
inference(resolution,[],[f1707,f104]) ).
fof(f104,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f31592,plain,
( spl0_407
| ~ spl0_54
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1787,f1706,f418,f31590]) ).
fof(f31590,plain,
( spl0_407
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,X2)),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f418,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(f1787,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,X2)),X2),X1)))
| ~ spl0_54
| ~ spl0_105 ),
inference(resolution,[],[f1707,f419]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f31588,plain,
( spl0_406
| ~ spl0_16
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1784,f1702,f93,f31586]) ).
fof(f31586,plain,
( spl0_406
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f1702,plain,
( spl0_104
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1784,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X2))))
| ~ spl0_16
| ~ spl0_104 ),
inference(resolution,[],[f1703,f94]) ).
fof(f1703,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f31584,plain,
( spl0_405
| ~ spl0_50
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1782,f1702,f323,f31582]) ).
fof(f31582,plain,
( spl0_405
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1782,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1)))
| ~ spl0_50
| ~ spl0_104 ),
inference(resolution,[],[f1703,f324]) ).
fof(f31580,plain,
( spl0_404
| ~ spl0_17
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1781,f1702,f103,f31578]) ).
fof(f31578,plain,
( spl0_404
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1781,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(X2,X1))))
| ~ spl0_17
| ~ spl0_104 ),
inference(resolution,[],[f1703,f104]) ).
fof(f31576,plain,
( spl0_403
| ~ spl0_54
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1780,f1702,f418,f31574]) ).
fof(f31574,plain,
( spl0_403
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1780,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0)))
| ~ spl0_54
| ~ spl0_104 ),
inference(resolution,[],[f1703,f419]) ).
fof(f31572,plain,
( spl0_402
| ~ spl0_16
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1767,f1049,f93,f31570]) ).
fof(f31570,plain,
( spl0_402
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1049,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(f1767,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),not(X0))),X1)) )
| ~ spl0_16
| ~ spl0_101 ),
inference(resolution,[],[f1050,f94]) ).
fof(f1050,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f31568,plain,
( spl0_401
| ~ spl0_16
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1727,f1036,f93,f31566]) ).
fof(f31566,plain,
( spl0_401
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X0))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1036,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(f1727,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X0))),X1)))
| ~ spl0_16
| ~ spl0_98 ),
inference(resolution,[],[f1037,f94]) ).
fof(f1037,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f31564,plain,
( spl0_400
| ~ spl0_16
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1714,f1032,f93,f31562]) ).
fof(f31562,plain,
( spl0_400
<=> ! [X0] : theorem(or(X0,not(or(or(X0,X0),or(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1032,plain,
( spl0_97
<=> ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1714,plain,
( ! [X0] : theorem(or(X0,not(or(or(X0,X0),or(X0,X0)))))
| ~ spl0_16
| ~ spl0_97 ),
inference(resolution,[],[f1033,f94]) ).
fof(f1033,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f31560,plain,
( spl0_399
| ~ spl0_6
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1006,f941,f42,f31558]) ).
fof(f31558,plain,
( spl0_399
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f941,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(f1006,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_94 ),
inference(resolution,[],[f942,f43]) ).
fof(f942,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f31555,plain,
( spl0_398
| ~ spl0_47
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f875,f842,f311,f31553]) ).
fof(f31553,plain,
( spl0_398
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f311,plain,
( spl0_47
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f842,plain,
( spl0_83
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f875,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_83 ),
inference(resolution,[],[f843,f312]) ).
fof(f312,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f843,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,not(X0)))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f31551,plain,
( spl0_397
| ~ spl0_67
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f867,f838,f589,f31549]) ).
fof(f31549,plain,
( spl0_397
<=> ! [X2,X0,X1,X3] : theorem(or(X0,or(X1,or(or(not(X2),X2),X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f589,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(f867,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(X1,or(or(not(X2),X2),X3))))
| ~ spl0_67
| ~ spl0_82 ),
inference(resolution,[],[f839,f590]) ).
fof(f590,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,[],[f589]) ).
fof(f30914,plain,
( ~ spl0_396
| spl0_1
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f30470,f29884,f19,f30911]) ).
fof(f30911,plain,
( spl0_396
<=> theorem(not(not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f19,plain,
( spl0_1
<=> theorem(or(not(not(or(not(p),not(q)))),or(not(p),q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f29884,plain,
( spl0_376
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f30470,plain,
( ~ theorem(not(not(q)))
| spl0_1
| ~ spl0_376 ),
inference(resolution,[],[f29885,f21]) ).
fof(f21,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),or(not(p),q)))
| spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f29885,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(not(not(X0))) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f29884]) ).
fof(f30314,plain,
( ~ spl0_395
| spl0_1
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f30261,f29872,f19,f30311]) ).
fof(f29872,plain,
( spl0_373
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f30261,plain,
( ~ theorem(or(q,not(not(or(not(p),not(q))))))
| spl0_1
| ~ spl0_373 ),
inference(resolution,[],[f29873,f21]) ).
fof(f29873,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f29872]) ).
fof(f29958,plain,
( spl0_394
| ~ spl0_20
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f3355,f3292,f126,f29956]) ).
fof(f29956,plain,
( spl0_394
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f3292,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(f3355,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(not(X1)) )
| ~ spl0_20
| ~ spl0_164 ),
inference(resolution,[],[f3293,f127]) ).
fof(f3293,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X1),not(or(X0,X1))))
| theorem(or(X0,not(or(X0,X1)))) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f3292]) ).
fof(f29954,plain,
( spl0_393
| ~ spl0_15
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f2870,f2612,f86,f29952]) ).
fof(f29952,plain,
( spl0_393
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f2870,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X1,X0)) )
| ~ spl0_15
| ~ spl0_146 ),
inference(resolution,[],[f2613,f87]) ).
fof(f29950,plain,
( spl0_392
| ~ spl0_78
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2278,f2075,f777,f29948]) ).
fof(f29948,plain,
( spl0_392
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f777,plain,
( spl0_78
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f2278,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) )
| ~ spl0_78
| ~ spl0_124 ),
inference(resolution,[],[f2076,f778]) ).
fof(f778,plain,
( ! [X0] :
( ~ theorem(or(not(X0),not(X0)))
| ~ theorem(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f29946,plain,
( spl0_391
| ~ spl0_40
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2232,f2071,f269,f29944]) ).
fof(f29944,plain,
( spl0_391
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f2071,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(f2232,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,not(not(X0))))) )
| ~ spl0_40
| ~ spl0_123 ),
inference(resolution,[],[f2072,f270]) ).
fof(f2072,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(X3)
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f2071]) ).
fof(f29942,plain,
( spl0_390
| ~ spl0_131
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f29384,f15369,f2103,f29940]) ).
fof(f29940,plain,
( spl0_390
<=> ! [X0,X1] : ~ theorem(not(or(X0,or(X1,not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f2103,plain,
( spl0_131
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f15369,plain,
( spl0_339
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f29384,plain,
( ! [X0,X1] : ~ theorem(not(or(X0,or(X1,not(X1)))))
| ~ spl0_131
| ~ spl0_339 ),
inference(resolution,[],[f15370,f2104]) ).
fof(f2104,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| ~ theorem(not(X0)) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f2103]) ).
fof(f15370,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2))
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f15369]) ).
fof(f29938,plain,
( spl0_389
| ~ spl0_7
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2203,f2071,f47,f29936]) ).
fof(f29936,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(f2203,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X0)))) )
| ~ spl0_7
| ~ spl0_123 ),
inference(resolution,[],[f2072,f48]) ).
fof(f29934,plain,
( spl0_388
| ~ spl0_26
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2160,f2063,f164,f29932]) ).
fof(f29932,plain,
( spl0_388
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),X0))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f164,plain,
( spl0_26
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2160,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),X0))))
| ~ theorem(X1) )
| ~ spl0_26
| ~ spl0_121 ),
inference(resolution,[],[f2064,f165]) ).
fof(f165,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f29930,plain,
( spl0_387
| ~ spl0_87
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2033,f1847,f914,f29928]) ).
fof(f29928,plain,
( spl0_387
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f914,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(f1847,plain,
( spl0_119
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2033,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X2)) )
| ~ spl0_87
| ~ spl0_119 ),
inference(resolution,[],[f1848,f915]) ).
fof(f915,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f1848,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f29926,plain,
( spl0_386
| ~ spl0_48
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1956,f1831,f315,f29924]) ).
fof(f29924,plain,
( spl0_386
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f315,plain,
( spl0_48
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1956,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,X0)),X1)) )
| ~ spl0_48
| ~ spl0_115 ),
inference(resolution,[],[f1832,f316]) ).
fof(f316,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f29922,plain,
( spl0_385
| ~ spl0_15
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1945,f1815,f86,f29920]) ).
fof(f29920,plain,
( spl0_385
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f1815,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(f1945,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(not(or(X1,X0))) )
| ~ spl0_15
| ~ spl0_111 ),
inference(resolution,[],[f1816,f87]) ).
fof(f1816,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1815]) ).
fof(f29918,plain,
( spl0_384
| ~ spl0_80
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1905,f1807,f785,f29916]) ).
fof(f29916,plain,
( spl0_384
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f785,plain,
( spl0_80
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1905,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) )
| ~ spl0_80
| ~ spl0_109 ),
inference(resolution,[],[f1808,f786]) ).
fof(f786,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f29914,plain,
( spl0_383
| ~ spl0_49
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1879,f1807,f319,f29912]) ).
fof(f29912,plain,
( spl0_383
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f1879,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X1,X2)) )
| ~ spl0_49
| ~ spl0_109 ),
inference(resolution,[],[f1808,f320]) ).
fof(f29910,plain,
( spl0_382
| ~ spl0_6
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1712,f1032,f42,f29908]) ).
fof(f29908,plain,
( spl0_382
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f1712,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),or(X0,X0))) )
| ~ spl0_6
| ~ spl0_97 ),
inference(resolution,[],[f1033,f43]) ).
fof(f29906,plain,
( spl0_381
| ~ spl0_16
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1029,f945,f93,f29904]) ).
fof(f29904,plain,
( spl0_381
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(or(X1,or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f945,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(f1029,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,or(X0,X2)),X3)) )
| ~ spl0_16
| ~ spl0_95 ),
inference(resolution,[],[f946,f94]) ).
fof(f946,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f29902,plain,
( spl0_380
| ~ spl0_16
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1015,f941,f93,f29900]) ).
fof(f29900,plain,
( spl0_380
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f1015,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X2),X0)) )
| ~ spl0_16
| ~ spl0_94 ),
inference(resolution,[],[f942,f94]) ).
fof(f29898,plain,
( spl0_379
| ~ spl0_6
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f29231,f14486,f42,f29896]) ).
fof(f29896,plain,
( spl0_379
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f14486,plain,
( spl0_318
<=> ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f29231,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,or(X0,X0))) )
| ~ spl0_6
| ~ spl0_318 ),
inference(resolution,[],[f14487,f43]) ).
fof(f14487,plain,
( ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0))
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f14486]) ).
fof(f29894,plain,
( spl0_378
| ~ spl0_15
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1013,f941,f86,f29892]) ).
fof(f29892,plain,
( spl0_378
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f1013,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_94 ),
inference(resolution,[],[f942,f87]) ).
fof(f29890,plain,
( spl0_377
| ~ spl0_17
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1009,f941,f103,f29888]) ).
fof(f29888,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(f1009,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_94 ),
inference(resolution,[],[f942,f104]) ).
fof(f29886,plain,
( spl0_376
| ~ spl0_79
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f992,f937,f781,f29884]) ).
fof(f781,plain,
( spl0_79
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f937,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(f992,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_79
| ~ spl0_93 ),
inference(resolution,[],[f938,f782]) ).
fof(f782,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f29882,plain,
( spl0_375
| ~ spl0_79
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f980,f922,f781,f29880]) ).
fof(f29880,plain,
( spl0_375
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f922,plain,
( spl0_89
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f980,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,not(or(X0,X0)))) )
| ~ spl0_79
| ~ spl0_89 ),
inference(resolution,[],[f923,f782]) ).
fof(f923,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f29878,plain,
( spl0_374
| ~ spl0_16
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f972,f914,f93,f29876]) ).
fof(f29876,plain,
( spl0_374
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f972,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_16
| ~ spl0_87 ),
inference(resolution,[],[f915,f94]) ).
fof(f29874,plain,
( spl0_373
| ~ spl0_17
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f966,f914,f103,f29872]) ).
fof(f966,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_17
| ~ spl0_87 ),
inference(resolution,[],[f915,f104]) ).
fof(f29870,plain,
( spl0_372
| ~ spl0_6
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f852,f834,f42,f29868]) ).
fof(f29868,plain,
( spl0_372
<=> ! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f834,plain,
( spl0_81
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f852,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_81 ),
inference(resolution,[],[f835,f43]) ).
fof(f835,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f29866,plain,
( spl0_371
| ~ spl0_17
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f794,f773,f103,f29864]) ).
fof(f29864,plain,
( spl0_371
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(or(X0,X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f773,plain,
( spl0_77
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f794,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(or(X0,X2),X3))) )
| ~ spl0_17
| ~ spl0_77 ),
inference(resolution,[],[f774,f104]) ).
fof(f774,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(X0) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f29862,plain,
( spl0_370
| ~ spl0_52
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f759,f743,f362,f29860]) ).
fof(f29860,plain,
( spl0_370
<=> ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f362,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(f759,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X0,X2))) )
| ~ spl0_52
| ~ spl0_75 ),
inference(resolution,[],[f744,f363]) ).
fof(f363,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,X1))
| ~ theorem(not(X2)) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f29858,plain,
( spl0_369
| ~ spl0_31
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f307,f269,f193,f29856]) ).
fof(f193,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(f307,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_31
| ~ spl0_40 ),
inference(resolution,[],[f270,f194]) ).
fof(f194,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f29854,plain,
( spl0_368
| ~ spl0_131
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f29093,f12960,f2103,f29852]) ).
fof(f29852,plain,
( spl0_368
<=> ! [X0,X1] : ~ theorem(not(or(X0,or(not(X1),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f12960,plain,
( spl0_303
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f29093,plain,
( ! [X0,X1] : ~ theorem(not(or(X0,or(not(X1),X1))))
| ~ spl0_131
| ~ spl0_303 ),
inference(resolution,[],[f12961,f2104]) ).
fof(f12961,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f12960]) ).
fof(f28939,plain,
( spl0_367
| ~ spl0_48
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f723,f705,f315,f28937]) ).
fof(f28937,plain,
( spl0_367
<=> ! [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_367])]) ).
fof(f705,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(f723,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,[],[f706,f316]) ).
fof(f706,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,[],[f705]) ).
fof(f28834,plain,
( spl0_366
| ~ spl0_48
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f691,f661,f315,f28832]) ).
fof(f28832,plain,
( spl0_366
<=> ! [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_366])]) ).
fof(f661,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(f691,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,[],[f662,f316]) ).
fof(f662,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,[],[f661]) ).
fof(f28666,plain,
( spl0_365
| ~ spl0_15
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f720,f705,f86,f28664]) ).
fof(f28664,plain,
( spl0_365
<=> ! [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_365])]) ).
fof(f720,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,[],[f706,f87]) ).
fof(f28662,plain,
( spl0_364
| ~ spl0_48
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f703,f665,f315,f28660]) ).
fof(f28660,plain,
( spl0_364
<=> ! [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_364])]) ).
fof(f665,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(f703,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,[],[f666,f316]) ).
fof(f666,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,[],[f665]) ).
fof(f28342,plain,
( spl0_363
| ~ spl0_48
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f736,f709,f315,f28340]) ).
fof(f28340,plain,
( spl0_363
<=> ! [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_363])]) ).
fof(f709,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(f736,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,[],[f710,f316]) ).
fof(f710,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,[],[f709]) ).
fof(f28338,plain,
( spl0_362
| ~ spl0_48
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f679,f657,f315,f28336]) ).
fof(f28336,plain,
( spl0_362
<=> ! [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_362])]) ).
fof(f657,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(f679,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,[],[f658,f316]) ).
fof(f658,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,[],[f657]) ).
fof(f28334,plain,
( spl0_361
| ~ spl0_62
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f604,f589,f523,f28332]) ).
fof(f28332,plain,
( spl0_361
<=> ! [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_361])]) ).
fof(f523,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(f604,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,[],[f590,f524]) ).
fof(f524,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f27886,plain,
( spl0_360
| ~ spl0_63
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f724,f709,f527,f27884]) ).
fof(f27884,plain,
( spl0_360
<=> ! [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_360])]) ).
fof(f527,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(f724,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,[],[f710,f528]) ).
fof(f528,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,[],[f527]) ).
fof(f27819,plain,
( spl0_359
| ~ spl0_63
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f712,f705,f527,f27817]) ).
fof(f27817,plain,
( spl0_359
<=> ! [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_359])]) ).
fof(f712,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,[],[f706,f528]) ).
fof(f27815,plain,
( spl0_358
| ~ spl0_15
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f688,f661,f86,f27813]) ).
fof(f27813,plain,
( spl0_358
<=> ! [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_358])]) ).
fof(f688,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,[],[f662,f87]) ).
fof(f27811,plain,
( spl0_357
| ~ spl0_62
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f637,f622,f523,f27809]) ).
fof(f27809,plain,
( spl0_357
<=> ! [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_357])]) ).
fof(f622,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(f637,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,[],[f623,f524]) ).
fof(f623,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,[],[f622]) ).
fof(f27292,plain,
( spl0_356
| ~ spl0_67
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f719,f705,f589,f27290]) ).
fof(f27290,plain,
( spl0_356
<=> ! [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_356])]) ).
fof(f719,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,[],[f706,f590]) ).
fof(f27288,plain,
( spl0_355
| ~ spl0_63
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f692,f665,f527,f27286]) ).
fof(f27286,plain,
( spl0_355
<=> ! [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_355])]) ).
fof(f692,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,[],[f666,f528]) ).
fof(f27284,plain,
( spl0_354
| ~ spl0_21
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f9403,f5169,f136,f27282]) ).
fof(f27282,plain,
( spl0_354
<=> ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f136,plain,
( spl0_21
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f9403,plain,
( ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0))
| ~ spl0_21
| ~ spl0_224 ),
inference(resolution,[],[f5170,f137]) ).
fof(f137,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f27280,plain,
( spl0_353
| ~ spl0_63
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f680,f661,f527,f27278]) ).
fof(f27278,plain,
( spl0_353
<=> ! [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_353])]) ).
fof(f680,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,[],[f662,f528]) ).
fof(f27276,plain,
( spl0_352
| ~ spl0_63
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f668,f657,f527,f27274]) ).
fof(f27274,plain,
( spl0_352
<=> ! [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_352])]) ).
fof(f668,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,[],[f658,f528]) ).
fof(f27272,plain,
( spl0_351
| ~ spl0_56
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f615,f589,f447,f27270]) ).
fof(f27270,plain,
( spl0_351
<=> ! [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_351])]) ).
fof(f447,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(f615,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,[],[f590,f448]) ).
fof(f448,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f26518,plain,
( spl0_350
| ~ spl0_115
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3090,f2689,f1831,f26516]) ).
fof(f26516,plain,
( spl0_350
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f3090,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(not(X1)) )
| ~ spl0_115
| ~ spl0_157 ),
inference(resolution,[],[f2690,f1832]) ).
fof(f26514,plain,
( spl0_349
| ~ spl0_68
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f728,f709,f622,f26512]) ).
fof(f26512,plain,
( spl0_349
<=> ! [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_349])]) ).
fof(f728,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,[],[f710,f623]) ).
fof(f26510,plain,
( spl0_348
| ~ spl0_31
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f726,f709,f193,f26508]) ).
fof(f26508,plain,
( spl0_348
<=> ! [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_348])]) ).
fof(f726,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(or(not(X2),X3))
| theorem(or(X4,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(X4,X2)) )
| ~ spl0_31
| ~ spl0_73 ),
inference(resolution,[],[f710,f194]) ).
fof(f26506,plain,
( spl0_347
| ~ spl0_68
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f716,f705,f622,f26504]) ).
fof(f26504,plain,
( spl0_347
<=> ! [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_347])]) ).
fof(f716,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,[],[f706,f623]) ).
fof(f26502,plain,
( spl0_346
| ~ spl0_31
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f714,f705,f193,f26500]) ).
fof(f26500,plain,
( spl0_346
<=> ! [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_346])]) ).
fof(f714,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(or(not(X1),X3),or(not(X1),X3))),X3)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_72 ),
inference(resolution,[],[f706,f194]) ).
fof(f25840,plain,
( spl0_345
| ~ spl0_76
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2758,f2584,f747,f25838]) ).
fof(f25838,plain,
( spl0_345
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f2758,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2)))))
| ~ spl0_76
| ~ spl0_139 ),
inference(resolution,[],[f2585,f748]) ).
fof(f25105,plain,
( spl0_344
| ~ spl0_39
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2011,f1847,f261,f25103]) ).
fof(f25103,plain,
( spl0_344
<=> ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f261,plain,
( spl0_39
<=> ! [X0] : theorem(or(not(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f2011,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0)))
| ~ spl0_39
| ~ spl0_119 ),
inference(resolution,[],[f1848,f262]) ).
fof(f262,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f16617,plain,
( spl0_42
| ~ spl0_102
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f9467,f4828,f1053,f276]) ).
fof(f276,plain,
( spl0_42
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1053,plain,
( spl0_102
<=> ! [X2,X3] :
( ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f4828,plain,
( spl0_218
<=> ! [X0] :
( ~ theorem(not(X0))
| theorem(not(or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f9467,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_102
| ~ spl0_218 ),
inference(resolution,[],[f4829,f1054]) ).
fof(f1054,plain,
( ! [X2,X3] :
( ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f4829,plain,
( ! [X0] :
( theorem(not(or(X0,X0)))
| ~ theorem(not(X0)) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f4828]) ).
fof(f16141,plain,
( spl0_1
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f16113]) ).
fof(f16113,plain,
( $false
| spl0_1
| ~ spl0_41 ),
inference(resolution,[],[f274,f21]) ).
fof(f274,plain,
( ! [X1] : theorem(X1)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl0_41
<=> ! [X1] : theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f16140,plain,
( spl0_38
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f16114]) ).
fof(f16114,plain,
( $false
| spl0_38
| ~ spl0_41 ),
inference(resolution,[],[f274,f256]) ).
fof(f256,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),q))
| spl0_38 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl0_38
<=> theorem(or(not(not(or(not(p),not(q)))),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f16139,plain,
( ~ spl0_41
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f16115]) ).
fof(f16115,plain,
( $false
| ~ spl0_41
| spl0_103 ),
inference(resolution,[],[f274,f1396]) ).
fof(f1396,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),not(p)))
| spl0_103 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1394,plain,
( spl0_103
<=> theorem(or(not(not(or(not(p),not(q)))),not(p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f16138,plain,
( spl0_18
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f16116]) ).
fof(f16116,plain,
( $false
| spl0_18
| ~ spl0_41 ),
inference(resolution,[],[f274,f115]) ).
fof(f115,plain,
( ~ theorem(or(not(p),q))
| spl0_18 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl0_18
<=> theorem(or(not(p),q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f16137,plain,
( ~ spl0_41
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f16117]) ).
fof(f16117,plain,
( $false
| ~ spl0_41
| spl0_64 ),
inference(resolution,[],[f274,f533]) ).
fof(f533,plain,
( ~ theorem(or(not(p),not(q)))
| spl0_64 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl0_64
<=> theorem(or(not(p),not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f16136,plain,
( ~ spl0_41
| spl0_99 ),
inference(avatar_contradiction_clause,[],[f16118]) ).
fof(f16118,plain,
( $false
| ~ spl0_41
| spl0_99 ),
inference(resolution,[],[f274,f1042]) ).
fof(f1042,plain,
( ~ theorem(or(q,not(p)))
| spl0_99 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1040,plain,
( spl0_99
<=> theorem(or(q,not(p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f16135,plain,
( spl0_24
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f16119]) ).
fof(f16119,plain,
( $false
| spl0_24
| ~ spl0_41 ),
inference(resolution,[],[f274,f153]) ).
fof(f153,plain,
( ~ theorem(q)
| spl0_24 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl0_24
<=> theorem(q) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f16134,plain,
( ~ spl0_41
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f16120]) ).
fof(f16120,plain,
( $false
| ~ spl0_41
| ~ spl0_91 ),
inference(resolution,[],[f274,f931]) ).
fof(f931,plain,
( ! [X2] : ~ theorem(not(or(not(X2),X2)))
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f930,plain,
( spl0_91
<=> ! [X2] : ~ theorem(not(or(not(X2),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f16133,plain,
( ~ spl0_41
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f16123]) ).
fof(f16123,plain,
( $false
| ~ spl0_41
| ~ spl0_163 ),
inference(resolution,[],[f274,f2786]) ).
fof(f2786,plain,
( ! [X0] : ~ theorem(not(or(X0,not(X0))))
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f2785]) ).
fof(f2785,plain,
( spl0_163
<=> ! [X0] : ~ theorem(not(or(X0,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f16132,plain,
( ~ spl0_41
| ~ spl0_266 ),
inference(avatar_contradiction_clause,[],[f16124]) ).
fof(f16124,plain,
( $false
| ~ spl0_41
| ~ spl0_266 ),
inference(resolution,[],[f274,f10630]) ).
fof(f10630,plain,
( ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1)))
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f10629]) ).
fof(f10629,plain,
( spl0_266
<=> ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f16131,plain,
( spl0_37
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f16125]) ).
fof(f16125,plain,
( $false
| spl0_37
| ~ spl0_41 ),
inference(resolution,[],[f274,f251]) ).
fof(f251,plain,
( ~ theorem(not(not(or(not(p),not(q)))))
| spl0_37 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl0_37
<=> theorem(not(not(or(not(p),not(q))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f16130,plain,
( spl0_35
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f16127]) ).
fof(f16127,plain,
( $false
| spl0_35
| ~ spl0_41 ),
inference(resolution,[],[f274,f237]) ).
fof(f237,plain,
( ~ theorem(not(p))
| spl0_35 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_35
<=> theorem(not(p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f16129,plain,
( ~ spl0_41
| spl0_74 ),
inference(avatar_contradiction_clause,[],[f16128]) ).
fof(f16128,plain,
( $false
| ~ spl0_41
| spl0_74 ),
inference(resolution,[],[f274,f740]) ).
fof(f740,plain,
( ~ theorem(not(q))
| spl0_74 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f738,plain,
( spl0_74
<=> theorem(not(q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f16111,plain,
( spl0_343
| ~ spl0_78
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1943,f1815,f777,f16109]) ).
fof(f16109,plain,
( spl0_343
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f1943,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(or(X1,X0)) )
| ~ spl0_78
| ~ spl0_111 ),
inference(resolution,[],[f1816,f778]) ).
fof(f16107,plain,
( spl0_342
| ~ spl0_15
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f700,f665,f86,f16105]) ).
fof(f16105,plain,
( spl0_342
<=> ! [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_342])]) ).
fof(f700,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,[],[f666,f87]) ).
fof(f16103,plain,
( spl0_341
| ~ spl0_56
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f648,f622,f447,f16101]) ).
fof(f16101,plain,
( spl0_341
<=> ! [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_341])]) ).
fof(f648,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,[],[f623,f448]) ).
fof(f16099,plain,
( spl0_340
| ~ spl0_65
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f636,f622,f536,f16097]) ).
fof(f16097,plain,
( spl0_340
<=> ! [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_340])]) ).
fof(f536,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(f636,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,[],[f623,f537]) ).
fof(f537,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,[],[f536]) ).
fof(f15371,plain,
( spl0_339
| ~ spl0_76
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1908,f1807,f747,f15369]) ).
fof(f1908,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2))
| ~ spl0_76
| ~ spl0_109 ),
inference(resolution,[],[f1808,f748]) ).
fof(f15018,plain,
( spl0_338
| ~ spl0_15
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f733,f709,f86,f15016]) ).
fof(f15016,plain,
( spl0_338
<=> ! [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_338])]) ).
fof(f733,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,[],[f710,f87]) ).
fof(f15014,plain,
( spl0_337
| ~ spl0_67
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f732,f709,f589,f15012]) ).
fof(f15012,plain,
( spl0_337
<=> ! [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_337])]) ).
fof(f732,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,[],[f710,f590]) ).
fof(f15010,plain,
( spl0_336
| ~ spl0_68
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f697,f665,f622,f15008]) ).
fof(f15008,plain,
( spl0_336
<=> ! [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_336])]) ).
fof(f697,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,[],[f666,f623]) ).
fof(f15006,plain,
( spl0_335
| ~ spl0_31
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f694,f665,f193,f15004]) ).
fof(f15004,plain,
( spl0_335
<=> ! [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_335])]) ).
fof(f694,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(X1,X2)))
| theorem(or(X3,or(not(or(not(X2),X4)),or(X1,X4))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_31
| ~ spl0_71 ),
inference(resolution,[],[f666,f194]) ).
fof(f15002,plain,
( spl0_334
| ~ spl0_68
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f685,f661,f622,f15000]) ).
fof(f15000,plain,
( spl0_334
<=> ! [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_334])]) ).
fof(f685,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,[],[f662,f623]) ).
fof(f14998,plain,
( spl0_333
| ~ spl0_31
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f682,f661,f193,f14996]) ).
fof(f14996,plain,
( spl0_333
<=> ! [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_333])]) ).
fof(f682,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,or(not(X1),X4))),or(X3,X4))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_70 ),
inference(resolution,[],[f662,f194]) ).
fof(f14994,plain,
( spl0_332
| ~ spl0_23
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1891,f1807,f144,f14992]) ).
fof(f14992,plain,
( spl0_332
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f1891,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X1)),X2))
| ~ spl0_23
| ~ spl0_109 ),
inference(resolution,[],[f1808,f145]) ).
fof(f14990,plain,
( spl0_331
| ~ spl0_15
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f676,f657,f86,f14988]) ).
fof(f14988,plain,
( spl0_331
<=> ! [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_331])]) ).
fof(f676,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,[],[f658,f87]) ).
fof(f14986,plain,
( spl0_330
| ~ spl0_68
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f673,f657,f622,f14984]) ).
fof(f14984,plain,
( spl0_330
<=> ! [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_330])]) ).
fof(f673,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,[],[f658,f623]) ).
fof(f14982,plain,
( spl0_329
| ~ spl0_31
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f670,f657,f193,f14980]) ).
fof(f14980,plain,
( spl0_329
<=> ! [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_329])]) ).
fof(f670,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(not(X0),or(not(X1),X2)))
| theorem(or(X3,or(not(or(X4,X1)),or(X4,X2))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_31
| ~ spl0_69 ),
inference(resolution,[],[f658,f194]) ).
fof(f14978,plain,
( spl0_328
| ~ spl0_60
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f649,f622,f484,f14976]) ).
fof(f14976,plain,
( spl0_328
<=> ! [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_328])]) ).
fof(f484,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(f649,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,[],[f623,f485]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X2,X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f14974,plain,
( spl0_327
| ~ spl0_65
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f603,f589,f536,f14972]) ).
fof(f14972,plain,
( spl0_327
<=> ! [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_327])]) ).
fof(f603,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,[],[f590,f537]) ).
fof(f14654,plain,
( spl0_326
| ~ spl0_25
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1881,f1807,f160,f14652]) ).
fof(f14652,plain,
( spl0_326
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f160,plain,
( spl0_25
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1881,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1))
| ~ spl0_25
| ~ spl0_109 ),
inference(resolution,[],[f1808,f161]) ).
fof(f161,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f14531,plain,
( spl0_325
| ~ spl0_52
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f734,f709,f362,f14529]) ).
fof(f14529,plain,
( spl0_325
<=> ! [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_325])]) ).
fof(f734,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,[],[f710,f363]) ).
fof(f14527,plain,
( spl0_324
| ~ spl0_51
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f725,f709,f358,f14525]) ).
fof(f14525,plain,
( spl0_324
<=> ! [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_324])]) ).
fof(f358,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(f725,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,[],[f710,f359]) ).
fof(f359,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f14523,plain,
( spl0_323
| ~ spl0_52
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f721,f705,f362,f14521]) ).
fof(f14521,plain,
( spl0_323
<=> ! [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_323])]) ).
fof(f721,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,[],[f706,f363]) ).
fof(f14519,plain,
( spl0_322
| ~ spl0_51
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f713,f705,f358,f14517]) ).
fof(f14517,plain,
( spl0_322
<=> ! [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_322])]) ).
fof(f713,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,[],[f706,f359]) ).
fof(f14515,plain,
( spl0_321
| ~ spl0_55
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f652,f622,f443,f14513]) ).
fof(f14513,plain,
( spl0_321
<=> ! [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_321])]) ).
fof(f652,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,[],[f623,f444]) ).
fof(f14511,plain,
( spl0_320
| ~ spl0_60
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f616,f589,f484,f14509]) ).
fof(f14509,plain,
( spl0_320
<=> ! [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_320])]) ).
fof(f616,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,[],[f590,f485]) ).
fof(f14507,plain,
( spl0_319
| ~ spl0_48
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f507,f480,f315,f14505]) ).
fof(f14505,plain,
( spl0_319
<=> ! [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_319])]) ).
fof(f480,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(f507,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,[],[f481,f316]) ).
fof(f481,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f14488,plain,
( spl0_318
| ~ spl0_48
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1725,f1036,f315,f14486]) ).
fof(f1725,plain,
( ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0))
| ~ spl0_48
| ~ spl0_98 ),
inference(resolution,[],[f1037,f316]) ).
fof(f13777,plain,
( spl0_317
| ~ spl0_16
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f904,f846,f93,f13775]) ).
fof(f13775,plain,
( spl0_317
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f846,plain,
( spl0_84
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f904,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1))
| ~ spl0_16
| ~ spl0_84 ),
inference(resolution,[],[f847,f94]) ).
fof(f847,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f13726,plain,
( spl0_316
| ~ spl0_50
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f731,f709,f323,f13724]) ).
fof(f13724,plain,
( spl0_316
<=> ! [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_316])]) ).
fof(f731,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,[],[f710,f324]) ).
fof(f13722,plain,
( spl0_315
| ~ spl0_52
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f701,f665,f362,f13720]) ).
fof(f13720,plain,
( spl0_315
<=> ! [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_315])]) ).
fof(f701,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,[],[f666,f363]) ).
fof(f13718,plain,
( spl0_314
| ~ spl0_51
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f693,f665,f358,f13716]) ).
fof(f13716,plain,
( spl0_314
<=> ! [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_314])]) ).
fof(f693,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,[],[f666,f359]) ).
fof(f13714,plain,
( spl0_313
| ~ spl0_52
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f689,f661,f362,f13712]) ).
fof(f13712,plain,
( spl0_313
<=> ! [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_313])]) ).
fof(f689,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,[],[f662,f363]) ).
fof(f13710,plain,
( spl0_312
| ~ spl0_51
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f681,f661,f358,f13708]) ).
fof(f13708,plain,
( spl0_312
<=> ! [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_312])]) ).
fof(f681,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,[],[f662,f359]) ).
fof(f13706,plain,
( spl0_311
| ~ spl0_52
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f677,f657,f362,f13704]) ).
fof(f13704,plain,
( spl0_311
<=> ! [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_311])]) ).
fof(f677,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,[],[f658,f363]) ).
fof(f13702,plain,
( spl0_310
| ~ spl0_51
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f669,f657,f358,f13700]) ).
fof(f13700,plain,
( spl0_310
<=> ! [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_310])]) ).
fof(f669,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,[],[f658,f359]) ).
fof(f13698,plain,
( spl0_309
| ~ spl0_32
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f573,f527,f218,f13696]) ).
fof(f13696,plain,
( spl0_309
<=> ! [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_309])]) ).
fof(f218,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(f573,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,[],[f528,f219]) ).
fof(f219,plain,
( ! [X2,X0,X1] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f13694,plain,
( spl0_308
| ~ spl0_30
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f571,f527,f189,f13692]) ).
fof(f13692,plain,
( spl0_308
<=> ! [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_308])]) ).
fof(f189,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(f571,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,[],[f528,f190]) ).
fof(f190,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f13690,plain,
( spl0_307
| ~ spl0_16
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f871,f838,f93,f13688]) ).
fof(f13688,plain,
( spl0_307
<=> ! [X2,X0,X1] : theorem(or(or(or(not(X0),X0),X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f871,plain,
( ! [X2,X0,X1] : theorem(or(or(or(not(X0),X0),X1),X2))
| ~ spl0_16
| ~ spl0_82 ),
inference(resolution,[],[f839,f94]) ).
fof(f13686,plain,
( spl0_306
| ~ spl0_59
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f570,f527,f480,f13684]) ).
fof(f13684,plain,
( spl0_306
<=> ! [X2,X4,X0,X3,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,not(X4))),X3))))
| ~ theorem(or(not(X1),X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f570,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,[],[f528,f481]) ).
fof(f13682,plain,
( spl0_305
| ~ spl0_17
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f549,f523,f103,f13680]) ).
fof(f13680,plain,
( spl0_305
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(not(X0),or(X1,X2)),or(not(X0),or(X1,X2)))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f549,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,[],[f524,f104]) ).
fof(f13678,plain,
( spl0_304
| ~ spl0_54
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f548,f523,f418,f13676]) ).
fof(f13676,plain,
( spl0_304
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),or(X1,X2)),or(not(X0),or(X1,X2)))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f548,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,[],[f524,f419]) ).
fof(f12962,plain,
( spl0_303
| ~ spl0_54
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f864,f838,f418,f12960]) ).
fof(f864,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl0_54
| ~ spl0_82 ),
inference(resolution,[],[f839,f419]) ).
fof(f12665,plain,
( spl0_302
| ~ spl0_6
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f727,f709,f42,f12663]) ).
fof(f12663,plain,
( spl0_302
<=> ! [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_302])]) ).
fof(f727,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,[],[f710,f43]) ).
fof(f12661,plain,
( spl0_301
| ~ spl0_6
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f715,f705,f42,f12659]) ).
fof(f12659,plain,
( spl0_301
<=> ! [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_301])]) ).
fof(f715,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,[],[f706,f43]) ).
fof(f12657,plain,
( spl0_300
| ~ spl0_14
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f634,f622,f81,f12655]) ).
fof(f12655,plain,
( spl0_300
<=> ! [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_300])]) ).
fof(f81,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(f634,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,[],[f623,f82]) ).
fof(f82,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,[],[f81]) ).
fof(f12653,plain,
( spl0_299
| ~ spl0_36
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f631,f622,f240,f12651]) ).
fof(f12651,plain,
( spl0_299
<=> ! [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_299])]) ).
fof(f240,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(f631,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,[],[f623,f241]) ).
fof(f241,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,[],[f240]) ).
fof(f12649,plain,
( spl0_298
| ~ spl0_63
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f576,f536,f527,f12647]) ).
fof(f12647,plain,
( spl0_298
<=> ! [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_298])]) ).
fof(f576,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,[],[f537,f528]) ).
fof(f12645,plain,
( spl0_297
| ~ spl0_29
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f572,f527,f185,f12643]) ).
fof(f12643,plain,
( spl0_297
<=> ! [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_297])]) ).
fof(f185,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(f572,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,[],[f528,f186]) ).
fof(f186,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f12641,plain,
( spl0_296
| ~ spl0_16
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f858,f834,f93,f12639]) ).
fof(f12639,plain,
( spl0_296
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f858,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0))
| ~ spl0_16
| ~ spl0_81 ),
inference(resolution,[],[f835,f94]) ).
fof(f12637,plain,
( spl0_295
| ~ spl0_57
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f566,f527,f451,f12635]) ).
fof(f12635,plain,
( spl0_295
<=> ! [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_295])]) ).
fof(f451,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(f566,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,[],[f528,f452]) ).
fof(f452,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f12633,plain,
( spl0_294
| ~ spl0_62
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f562,f527,f523,f12631]) ).
fof(f12631,plain,
( spl0_294
<=> ! [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_294])]) ).
fof(f562,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,[],[f528,f524]) ).
fof(f12629,plain,
( spl0_293
| ~ spl0_14
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f560,f527,f81,f12627]) ).
fof(f12627,plain,
( spl0_293
<=> ! [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_293])]) ).
fof(f560,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,[],[f528,f82]) ).
fof(f12625,plain,
( spl0_292
| ~ spl0_36
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f559,f527,f240,f12623]) ).
fof(f12623,plain,
( spl0_292
<=> ! [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_292])]) ).
fof(f559,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,[],[f528,f241]) ).
fof(f12621,plain,
( spl0_291
| ~ spl0_48
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f472,f451,f315,f12619]) ).
fof(f12619,plain,
( spl0_291
<=> ! [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_291])]) ).
fof(f472,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,[],[f452,f316]) ).
fof(f12414,plain,
( spl0_290
| ~ spl0_54
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f854,f834,f418,f12412]) ).
fof(f12412,plain,
( spl0_290
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f854,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1)))))
| ~ spl0_54
| ~ spl0_81 ),
inference(resolution,[],[f835,f419]) ).
fof(f11501,plain,
( spl0_289
| ~ spl0_67
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f758,f743,f589,f11499]) ).
fof(f11499,plain,
( spl0_289
<=> ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f758,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2))))
| ~ spl0_67
| ~ spl0_75 ),
inference(resolution,[],[f744,f590]) ).
fof(f10818,plain,
( spl0_288
| ~ spl0_16
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f735,f709,f93,f10816]) ).
fof(f10816,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(f735,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,[],[f710,f94]) ).
fof(f10814,plain,
( spl0_287
| ~ spl0_54
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f729,f709,f418,f10812]) ).
fof(f10812,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(f729,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,[],[f710,f419]) ).
fof(f10810,plain,
( spl0_286
| ~ spl0_16
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f722,f705,f93,f10808]) ).
fof(f10808,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(f722,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,[],[f706,f94]) ).
fof(f10805,plain,
( spl0_285
| ~ spl0_17
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f718,f705,f103,f10803]) ).
fof(f10803,plain,
( spl0_285
<=> ! [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_285])]) ).
fof(f718,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,[],[f706,f104]) ).
fof(f10801,plain,
( spl0_284
| ~ spl0_54
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f717,f705,f418,f10799]) ).
fof(f10799,plain,
( spl0_284
<=> ! [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_284])]) ).
fof(f717,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,[],[f706,f419]) ).
fof(f10797,plain,
( spl0_283
| ~ spl0_6
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f695,f665,f42,f10795]) ).
fof(f10795,plain,
( spl0_283
<=> ! [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_283])]) ).
fof(f695,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,[],[f666,f43]) ).
fof(f10793,plain,
( spl0_282
| ~ spl0_6
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f683,f661,f42,f10791]) ).
fof(f10791,plain,
( spl0_282
<=> ! [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_282])]) ).
fof(f683,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,[],[f662,f43]) ).
fof(f10789,plain,
( spl0_281
| ~ spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f671,f657,f42,f10787]) ).
fof(f10787,plain,
( spl0_281
<=> ! [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_281])]) ).
fof(f671,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,[],[f658,f43]) ).
fof(f10785,plain,
( spl0_280
| ~ spl0_49
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f653,f622,f319,f10783]) ).
fof(f10783,plain,
( spl0_280
<=> ! [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_280])]) ).
fof(f653,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,[],[f623,f320]) ).
fof(f10781,plain,
( spl0_279
| ~ spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f643,f622,f218,f10779]) ).
fof(f10779,plain,
( spl0_279
<=> ! [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_279])]) ).
fof(f643,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,[],[f623,f219]) ).
fof(f10777,plain,
( spl0_278
| ~ spl0_59
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f640,f622,f480,f10775]) ).
fof(f10775,plain,
( spl0_278
<=> ! [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_278])]) ).
fof(f640,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,[],[f623,f481]) ).
fof(f10773,plain,
( spl0_277
| ~ spl0_61
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f635,f622,f488,f10771]) ).
fof(f10771,plain,
( spl0_277
<=> ! [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_277])]) ).
fof(f488,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(f635,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,[],[f623,f489]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f10769,plain,
( spl0_276
| ~ spl0_47
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f633,f622,f311,f10767]) ).
fof(f10767,plain,
( spl0_276
<=> ! [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_276])]) ).
fof(f633,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,[],[f623,f312]) ).
fof(f10693,plain,
( spl0_275
| ~ spl0_58
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f630,f622,f476,f10691]) ).
fof(f10691,plain,
( spl0_275
<=> ! [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_275])]) ).
fof(f476,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(f630,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,[],[f623,f477]) ).
fof(f477,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f10689,plain,
( spl0_274
| ~ spl0_19
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f629,f622,f118,f10687]) ).
fof(f10687,plain,
( spl0_274
<=> ! [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_274])]) ).
fof(f118,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(f629,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,[],[f623,f119]) ).
fof(f119,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f10685,plain,
( spl0_273
| ~ spl0_17
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f584,f536,f103,f10683]) ).
fof(f10683,plain,
( spl0_273
<=> ! [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_273])]) ).
fof(f584,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,[],[f537,f104]) ).
fof(f10681,plain,
( spl0_272
| ~ spl0_54
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f583,f536,f418,f10679]) ).
fof(f10679,plain,
( spl0_272
<=> ! [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_272])]) ).
fof(f583,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,[],[f537,f419]) ).
fof(f10677,plain,
( spl0_271
| ~ spl0_61
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f561,f527,f488,f10675]) ).
fof(f10675,plain,
( spl0_271
<=> ! [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_271])]) ).
fof(f561,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,[],[f528,f489]) ).
fof(f10673,plain,
( spl0_270
| ~ spl0_58
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f558,f527,f476,f10671]) ).
fof(f10671,plain,
( spl0_270
<=> ! [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_270])]) ).
fof(f558,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,[],[f528,f477]) ).
fof(f10669,plain,
( spl0_269
| ~ spl0_19
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f557,f527,f118,f10667]) ).
fof(f10667,plain,
( spl0_269
<=> ! [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_269])]) ).
fof(f557,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,[],[f528,f119]) ).
fof(f10665,plain,
( spl0_268
| ~ spl0_50
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f550,f523,f323,f10663]) ).
fof(f10663,plain,
( spl0_268
<=> ! [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_268])]) ).
fof(f550,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,[],[f524,f324]) ).
fof(f10661,plain,
( spl0_267
| ~ spl0_31
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f500,f480,f193,f10659]) ).
fof(f10659,plain,
( spl0_267
<=> ! [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_267])]) ).
fof(f500,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,[],[f481,f194]) ).
fof(f10631,plain,
( spl0_266
| ~ spl0_82
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2677,f2103,f838,f10629]) ).
fof(f2677,plain,
( ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1)))
| ~ spl0_82
| ~ spl0_131 ),
inference(resolution,[],[f2104,f839]) ).
fof(f10311,plain,
( spl0_265
| ~ spl0_53
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f990,f926,f366,f10309]) ).
fof(f10309,plain,
( spl0_265
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f366,plain,
( spl0_53
<=> ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f926,plain,
( spl0_90
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f990,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X0)) )
| ~ spl0_53
| ~ spl0_90 ),
inference(resolution,[],[f927,f367]) ).
fof(f367,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f927,plain,
( ! [X0,X1] :
( ~ theorem(not(not(or(X0,X0))))
| theorem(or(X0,X1)) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f9264,plain,
( spl0_264
| ~ spl0_16
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f702,f665,f93,f9262]) ).
fof(f9262,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(f702,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,[],[f666,f94]) ).
fof(f9260,plain,
( spl0_263
| ~ spl0_17
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f699,f665,f103,f9258]) ).
fof(f9258,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(f699,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,[],[f666,f104]) ).
fof(f9256,plain,
( spl0_262
| ~ spl0_54
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f698,f665,f418,f9254]) ).
fof(f9254,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(f698,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,[],[f666,f419]) ).
fof(f9252,plain,
( spl0_261
| ~ spl0_67
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f696,f665,f589,f9250]) ).
fof(f9250,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(f696,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,[],[f666,f590]) ).
fof(f9208,plain,
( spl0_260
| ~ spl0_16
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f690,f661,f93,f9206]) ).
fof(f9206,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(f690,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,[],[f662,f94]) ).
fof(f9204,plain,
( spl0_259
| ~ spl0_17
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f687,f661,f103,f9202]) ).
fof(f9202,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(f687,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,[],[f662,f104]) ).
fof(f9200,plain,
( spl0_258
| ~ spl0_54
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f686,f661,f418,f9198]) ).
fof(f9198,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(f686,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,[],[f662,f419]) ).
fof(f9196,plain,
( spl0_257
| ~ spl0_67
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f684,f661,f589,f9194]) ).
fof(f9194,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(f684,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,[],[f662,f590]) ).
fof(f9192,plain,
( spl0_256
| ~ spl0_16
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f678,f657,f93,f9190]) ).
fof(f9190,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(f678,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,[],[f658,f94]) ).
fof(f9188,plain,
( spl0_255
| ~ spl0_17
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f675,f657,f103,f9186]) ).
fof(f9186,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(f675,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,[],[f658,f104]) ).
fof(f9184,plain,
( spl0_254
| ~ spl0_54
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f674,f657,f418,f9182]) ).
fof(f9182,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(f674,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,[],[f658,f419]) ).
fof(f9180,plain,
( spl0_253
| ~ spl0_67
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f672,f657,f589,f9178]) ).
fof(f9178,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(f672,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,[],[f658,f590]) ).
fof(f9176,plain,
( spl0_252
| ~ spl0_46
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f651,f622,f301,f9174]) ).
fof(f9174,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(f301,plain,
( spl0_46
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f651,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,[],[f623,f302]) ).
fof(f302,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f9172,plain,
( spl0_251
| ~ spl0_29
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f642,f622,f185,f9170]) ).
fof(f9170,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(f642,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,[],[f623,f186]) ).
fof(f9143,plain,
( spl0_250
| ~ spl0_30
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f641,f622,f189,f9141]) ).
fof(f9141,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(f641,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,[],[f623,f190]) ).
fof(f9139,plain,
( spl0_249
| ~ spl0_10
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f632,f622,f61,f9137]) ).
fof(f9137,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(f632,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,[],[f623,f62]) ).
fof(f9135,plain,
( spl0_248
| ~ spl0_12
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f628,f622,f72,f9133]) ).
fof(f9133,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(f72,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(f628,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,[],[f623,f73]) ).
fof(f73,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f9131,plain,
( spl0_247
| ~ spl0_49
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f620,f589,f319,f9129]) ).
fof(f9129,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(f620,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,[],[f590,f320]) ).
fof(f9127,plain,
( spl0_246
| ~ spl0_32
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f610,f589,f218,f9125]) ).
fof(f9125,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(f610,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,[],[f590,f219]) ).
fof(f9123,plain,
( spl0_245
| ~ spl0_59
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f608,f589,f480,f9121]) ).
fof(f9121,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(f608,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,[],[f590,f481]) ).
fof(f9119,plain,
( spl0_244
| ~ spl0_61
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f602,f589,f488,f9117]) ).
fof(f9117,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(f602,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,[],[f590,f489]) ).
fof(f9115,plain,
( spl0_243
| ~ spl0_47
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f600,f589,f311,f9113]) ).
fof(f9113,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(f600,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,[],[f590,f312]) ).
fof(f9111,plain,
( spl0_242
| ~ spl0_58
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f597,f589,f476,f9109]) ).
fof(f9109,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(f597,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,[],[f590,f477]) ).
fof(f9107,plain,
( spl0_241
| ~ spl0_19
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f596,f589,f118,f9105]) ).
fof(f9105,plain,
( spl0_241
<=> ! [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_241])]) ).
fof(f596,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,[],[f590,f119]) ).
fof(f8294,plain,
( spl0_240
| ~ spl0_131
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f8013,f4030,f2103,f8292]) ).
fof(f8292,plain,
( spl0_240
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(not(not(not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f4030,plain,
( spl0_195
<=> ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f8013,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(not(not(not(X0)))) )
| ~ spl0_131
| ~ spl0_195 ),
inference(resolution,[],[f4031,f2104]) ).
fof(f4031,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f4030]) ).
fof(f5352,plain,
( ~ spl0_7
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5231]) ).
fof(f5231,plain,
( $false
| ~ spl0_7
| ~ spl0_233 ),
inference(resolution,[],[f5206,f48]) ).
fof(f5206,plain,
( ! [X1] : ~ theorem(X1)
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f5205]) ).
fof(f5205,plain,
( spl0_233
<=> ! [X1] : ~ theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f5351,plain,
( ~ spl0_75
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5232]) ).
fof(f5232,plain,
( $false
| ~ spl0_75
| ~ spl0_233 ),
inference(resolution,[],[f5206,f744]) ).
fof(f5350,plain,
( ~ spl0_39
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5233]) ).
fof(f5233,plain,
( $false
| ~ spl0_39
| ~ spl0_233 ),
inference(resolution,[],[f5206,f262]) ).
fof(f5349,plain,
( ~ spl0_10
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5234]) ).
fof(f5234,plain,
( $false
| ~ spl0_10
| ~ spl0_233 ),
inference(resolution,[],[f5206,f62]) ).
fof(f5348,plain,
( ~ spl0_122
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5235]) ).
fof(f5235,plain,
( $false
| ~ spl0_122
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2068]) ).
fof(f5347,plain,
( ~ spl0_104
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5236]) ).
fof(f5236,plain,
( $false
| ~ spl0_104
| ~ spl0_233 ),
inference(resolution,[],[f5206,f1703]) ).
fof(f5346,plain,
( ~ spl0_176
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5237]) ).
fof(f5237,plain,
( $false
| ~ spl0_176
| ~ spl0_233 ),
inference(resolution,[],[f5206,f3341]) ).
fof(f3341,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,[],[f3340]) ).
fof(f3340,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_233 ),
inference(avatar_contradiction_clause,[],[f5238]) ).
fof(f5238,plain,
( $false
| ~ spl0_11
| ~ spl0_233 ),
inference(resolution,[],[f5206,f68]) ).
fof(f68,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_11
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f5344,plain,
( ~ spl0_12
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5239]) ).
fof(f5239,plain,
( $false
| ~ spl0_12
| ~ spl0_233 ),
inference(resolution,[],[f5206,f73]) ).
fof(f5343,plain,
( ~ spl0_127
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5240]) ).
fof(f5240,plain,
( $false
| ~ spl0_127
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2088]) ).
fof(f2088,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f2087]) ).
fof(f2087,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(f5342,plain,
( ~ spl0_166
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5241]) ).
fof(f5241,plain,
( $false
| ~ spl0_166
| ~ spl0_233 ),
inference(resolution,[],[f5206,f3301]) ).
fof(f3301,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,[],[f3300]) ).
fof(f3300,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_233 ),
inference(avatar_contradiction_clause,[],[f5242]) ).
fof(f5242,plain,
( $false
| ~ spl0_36
| ~ spl0_233 ),
inference(resolution,[],[f5206,f241]) ).
fof(f5340,plain,
( ~ spl0_177
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5243]) ).
fof(f5243,plain,
( $false
| ~ spl0_177
| ~ spl0_233 ),
inference(resolution,[],[f5206,f3345]) ).
fof(f3345,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,[],[f3344]) ).
fof(f3344,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_233 ),
inference(avatar_contradiction_clause,[],[f5244]) ).
fof(f5244,plain,
( $false
| ~ spl0_167
| ~ spl0_233 ),
inference(resolution,[],[f5206,f3305]) ).
fof(f3305,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,[],[f3304]) ).
fof(f3304,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_233 ),
inference(avatar_contradiction_clause,[],[f5245]) ).
fof(f5245,plain,
( $false
| ~ spl0_14
| ~ spl0_233 ),
inference(resolution,[],[f5206,f82]) ).
fof(f5337,plain,
( ~ spl0_128
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5246]) ).
fof(f5246,plain,
( $false
| ~ spl0_128
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2092]) ).
fof(f2092,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f2091]) ).
fof(f2091,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(f5336,plain,
( ~ spl0_233
| ~ spl0_237 ),
inference(avatar_contradiction_clause,[],[f5247]) ).
fof(f5247,plain,
( $false
| ~ spl0_233
| ~ spl0_237 ),
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_237 ),
inference(avatar_component_clause,[],[f5220]) ).
fof(f5220,plain,
( spl0_237
<=> ! [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_237])]) ).
fof(f5335,plain,
( ~ spl0_97
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5248]) ).
fof(f5248,plain,
( $false
| ~ spl0_97
| ~ spl0_233 ),
inference(resolution,[],[f5206,f1033]) ).
fof(f5334,plain,
( ~ spl0_135
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5249]) ).
fof(f5249,plain,
( $false
| ~ spl0_135
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2120]) ).
fof(f2120,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f2119,plain,
( spl0_135
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f5333,plain,
( ~ spl0_23
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5250]) ).
fof(f5250,plain,
( $false
| ~ spl0_23
| ~ spl0_233 ),
inference(resolution,[],[f5206,f145]) ).
fof(f5332,plain,
( ~ spl0_26
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5251]) ).
fof(f5251,plain,
( $false
| ~ spl0_26
| ~ spl0_233 ),
inference(resolution,[],[f5206,f165]) ).
fof(f5331,plain,
( ~ spl0_30
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5252]) ).
fof(f5252,plain,
( $false
| ~ spl0_30
| ~ spl0_233 ),
inference(resolution,[],[f5206,f190]) ).
fof(f5330,plain,
( ~ spl0_81
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5253]) ).
fof(f5253,plain,
( $false
| ~ spl0_81
| ~ spl0_233 ),
inference(resolution,[],[f5206,f835]) ).
fof(f5329,plain,
( ~ spl0_85
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5254]) ).
fof(f5254,plain,
( $false
| ~ spl0_85
| ~ spl0_233 ),
inference(resolution,[],[f5206,f907]) ).
fof(f907,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f906,plain,
( spl0_85
<=> ! [X0,X1] : theorem(or(X0,or(not(X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f5328,plain,
( ~ spl0_29
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5255]) ).
fof(f5255,plain,
( $false
| ~ spl0_29
| ~ spl0_233 ),
inference(resolution,[],[f5206,f186]) ).
fof(f5327,plain,
( ~ spl0_105
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5256]) ).
fof(f5256,plain,
( $false
| ~ spl0_105
| ~ spl0_233 ),
inference(resolution,[],[f5206,f1707]) ).
fof(f5326,plain,
( ~ spl0_136
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5257]) ).
fof(f5257,plain,
( $false
| ~ spl0_136
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2124]) ).
fof(f2124,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f2123,plain,
( spl0_136
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f5325,plain,
( ~ spl0_137
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5258]) ).
fof(f5258,plain,
( $false
| ~ spl0_137
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2128]) ).
fof(f2128,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f2127]) ).
fof(f2127,plain,
( spl0_137
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f5324,plain,
( ~ spl0_233
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f5259]) ).
fof(f5259,plain,
( $false
| ~ spl0_233
| ~ spl0_238 ),
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_238 ),
inference(avatar_component_clause,[],[f5224]) ).
fof(f5224,plain,
( spl0_238
<=> ! [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_238])]) ).
fof(f5323,plain,
( ~ spl0_76
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5260]) ).
fof(f5260,plain,
( $false
| ~ spl0_76
| ~ spl0_233 ),
inference(resolution,[],[f5206,f748]) ).
fof(f5322,plain,
( ~ spl0_84
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5261]) ).
fof(f5261,plain,
( $false
| ~ spl0_84
| ~ spl0_233 ),
inference(resolution,[],[f5206,f847]) ).
fof(f5321,plain,
( ~ spl0_129
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5262]) ).
fof(f5262,plain,
( $false
| ~ spl0_129
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2096]) ).
fof(f2096,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f2095]) ).
fof(f2095,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(f5320,plain,
( ~ spl0_106
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5263]) ).
fof(f5263,plain,
( $false
| ~ spl0_106
| ~ spl0_233 ),
inference(resolution,[],[f5206,f1723]) ).
fof(f5319,plain,
( ~ spl0_82
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5264]) ).
fof(f5264,plain,
( $false
| ~ spl0_82
| ~ spl0_233 ),
inference(resolution,[],[f5206,f839]) ).
fof(f5318,plain,
( ~ spl0_120
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5265]) ).
fof(f5265,plain,
( $false
| ~ spl0_120
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2054]) ).
fof(f2054,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f2053]) ).
fof(f2053,plain,
( spl0_120
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f5317,plain,
( ~ spl0_203
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5266]) ).
fof(f5266,plain,
( $false
| ~ spl0_203
| ~ spl0_233 ),
inference(resolution,[],[f5206,f4417]) ).
fof(f4417,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,[],[f4416]) ).
fof(f4416,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_233
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f5267]) ).
fof(f5267,plain,
( $false
| ~ spl0_233
| ~ spl0_236 ),
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_236 ),
inference(avatar_component_clause,[],[f5216]) ).
fof(f5216,plain,
( spl0_236
<=> ! [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_236])]) ).
fof(f5315,plain,
( ~ spl0_130
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5268]) ).
fof(f5268,plain,
( $false
| ~ spl0_130
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2100]) ).
fof(f2100,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f2099,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(f5314,plain,
( ~ spl0_22
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5269]) ).
fof(f5269,plain,
( $false
| ~ spl0_22
| ~ spl0_233 ),
inference(resolution,[],[f5206,f141]) ).
fof(f141,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl0_22
<=> ! [X0] : theorem(or(X0,not(or(X0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f5313,plain,
( ~ spl0_40
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5270]) ).
fof(f5270,plain,
( $false
| ~ spl0_40
| ~ spl0_233 ),
inference(resolution,[],[f5206,f270]) ).
fof(f5312,plain,
( ~ spl0_56
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5271]) ).
fof(f5271,plain,
( $false
| ~ spl0_56
| ~ spl0_233 ),
inference(resolution,[],[f5206,f448]) ).
fof(f5311,plain,
( ~ spl0_204
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5272]) ).
fof(f5272,plain,
( $false
| ~ spl0_204
| ~ spl0_233 ),
inference(resolution,[],[f5206,f4421]) ).
fof(f4421,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,[],[f4420]) ).
fof(f4420,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_173
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5273]) ).
fof(f5273,plain,
( $false
| ~ spl0_173
| ~ spl0_233 ),
inference(resolution,[],[f5206,f3329]) ).
fof(f3329,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X1),X0))
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f3328,plain,
( spl0_173
<=> ! [X0,X1] : theorem(or(or(not(X0),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f5309,plain,
( ~ spl0_43
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5274]) ).
fof(f5274,plain,
( $false
| ~ spl0_43
| ~ spl0_233 ),
inference(resolution,[],[f5206,f281]) ).
fof(f281,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,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_233 ),
inference(avatar_contradiction_clause,[],[f5275]) ).
fof(f5275,plain,
( $false
| ~ spl0_46
| ~ spl0_233 ),
inference(resolution,[],[f5206,f302]) ).
fof(f5307,plain,
( ~ spl0_98
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5276]) ).
fof(f5276,plain,
( $false
| ~ spl0_98
| ~ spl0_233 ),
inference(resolution,[],[f5206,f1037]) ).
fof(f5306,plain,
( ~ spl0_55
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5277]) ).
fof(f5277,plain,
( $false
| ~ spl0_55
| ~ spl0_233 ),
inference(resolution,[],[f5206,f444]) ).
fof(f5305,plain,
( ~ spl0_168
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5278]) ).
fof(f5278,plain,
( $false
| ~ spl0_168
| ~ spl0_233 ),
inference(resolution,[],[f5206,f3309]) ).
fof(f3309,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,[],[f3308]) ).
fof(f3308,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(f5304,plain,
( ~ spl0_112
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5279]) ).
fof(f5279,plain,
( $false
| ~ spl0_112
| ~ spl0_233 ),
inference(resolution,[],[f5206,f1820]) ).
fof(f1820,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1819]) ).
fof(f1819,plain,
( spl0_112
<=> ! [X0,X1] : theorem(or(or(X0,not(X0)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f5303,plain,
( ~ spl0_145
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5280]) ).
fof(f5280,plain,
( $false
| ~ spl0_145
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2609]) ).
fof(f2609,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f2608]) ).
fof(f2608,plain,
( spl0_145
<=> ! [X0,X1] : theorem(or(or(X0,not(X1)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f5302,plain,
( ~ spl0_132
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5281]) ).
fof(f5281,plain,
( $false
| ~ spl0_132
| ~ spl0_233 ),
inference(resolution,[],[f5206,f2108]) ).
fof(f2108,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2107,plain,
( spl0_132
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f5301,plain,
( ~ spl0_216
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5282]) ).
fof(f5282,plain,
( $false
| ~ spl0_216
| ~ spl0_233 ),
inference(resolution,[],[f5206,f4469]) ).
fof(f4469,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,[],[f4468]) ).
fof(f4468,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_233 ),
inference(avatar_contradiction_clause,[],[f5283]) ).
fof(f5283,plain,
( $false
| ~ spl0_202
| ~ spl0_233 ),
inference(resolution,[],[f5206,f4413]) ).
fof(f4413,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,[],[f4412]) ).
fof(f4412,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(f5299,plain,
( ~ spl0_233
| ~ spl0_239 ),
inference(avatar_contradiction_clause,[],[f5284]) ).
fof(f5284,plain,
( $false
| ~ spl0_233
| ~ spl0_239 ),
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_239 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f5228,plain,
( spl0_239
<=> ! [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_239])]) ).
fof(f5298,plain,
( ~ spl0_233
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f5285]) ).
fof(f5285,plain,
( $false
| ~ spl0_233
| ~ spl0_235 ),
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_235 ),
inference(avatar_component_clause,[],[f5212]) ).
fof(f5212,plain,
( spl0_235
<=> ! [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_235])]) ).
fof(f5297,plain,
( ~ spl0_21
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5286]) ).
fof(f5286,plain,
( $false
| ~ spl0_21
| ~ spl0_233 ),
inference(resolution,[],[f5206,f137]) ).
fof(f5296,plain,
( ~ spl0_25
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5287]) ).
fof(f5287,plain,
( $false
| ~ spl0_25
| ~ spl0_233 ),
inference(resolution,[],[f5206,f161]) ).
fof(f5295,plain,
( ~ spl0_96
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5288]) ).
fof(f5288,plain,
( $false
| ~ spl0_96
| ~ spl0_233 ),
inference(resolution,[],[f5206,f950]) ).
fof(f950,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f949,plain,
( spl0_96
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f5294,plain,
( ~ spl0_28
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f5289]) ).
fof(f5289,plain,
( $false
| ~ spl0_28
| ~ spl0_233 ),
inference(resolution,[],[f5206,f182]) ).
fof(f182,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,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_233 ),
inference(avatar_contradiction_clause,[],[f5290]) ).
fof(f5290,plain,
( $false
| ~ spl0_34
| ~ spl0_233 ),
inference(resolution,[],[f5206,f232]) ).
fof(f232,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,[],[f231]) ).
fof(f231,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_233 ),
inference(avatar_contradiction_clause,[],[f5291]) ).
fof(f5291,plain,
( $false
| ~ spl0_66
| ~ spl0_233 ),
inference(resolution,[],[f5206,f541]) ).
fof(f541,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,[],[f540]) ).
fof(f540,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_239
| ~ spl0_55
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f619,f589,f443,f5228]) ).
fof(f619,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,[],[f590,f444]) ).
fof(f5226,plain,
( spl0_238
| ~ spl0_30
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f609,f589,f189,f5224]) ).
fof(f609,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,[],[f590,f190]) ).
fof(f5222,plain,
( spl0_237
| ~ spl0_10
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f599,f589,f61,f5220]) ).
fof(f599,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,[],[f590,f62]) ).
fof(f5218,plain,
( spl0_236
| ~ spl0_17
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f464,f447,f103,f5216]) ).
fof(f464,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,[],[f448,f104]) ).
fof(f5214,plain,
( spl0_235
| ~ spl0_54
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f463,f447,f418,f5212]) ).
fof(f463,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,[],[f448,f419]) ).
fof(f5210,plain,
( spl0_233
| spl0_234
| ~ spl0_93
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f3087,f2689,f937,f5208,f5205]) ).
fof(f5208,plain,
( spl0_234
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f3087,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(not(not(X0))) )
| ~ spl0_93
| ~ spl0_157 ),
inference(resolution,[],[f2690,f938]) ).
fof(f5203,plain,
( spl0_232
| ~ spl0_52
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f586,f540,f362,f5201]) ).
fof(f5201,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(f586,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,[],[f541,f363]) ).
fof(f5199,plain,
( spl0_231
| ~ spl0_52
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f581,f536,f362,f5197]) ).
fof(f5197,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(f581,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,[],[f537,f363]) ).
fof(f5195,plain,
( spl0_230
| ~ spl0_31
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f578,f536,f193,f5193]) ).
fof(f5193,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(f578,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,[],[f537,f194]) ).
fof(f5191,plain,
( spl0_229
| ~ spl0_12
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f556,f527,f72,f5189]) ).
fof(f5189,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(f556,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,[],[f528,f73]) ).
fof(f5187,plain,
( spl0_228
| ~ spl0_52
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f546,f523,f362,f5185]) ).
fof(f5185,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(f546,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,[],[f524,f363]) ).
fof(f5183,plain,
( spl0_227
| ~ spl0_31
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f544,f523,f193,f5181]) ).
fof(f5181,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(f544,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,[],[f524,f194]) ).
fof(f5179,plain,
( spl0_226
| ~ spl0_17
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f512,f484,f103,f5177]) ).
fof(f5177,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(f512,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,[],[f485,f104]) ).
fof(f5175,plain,
( spl0_225
| ~ spl0_54
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f511,f484,f418,f5173]) ).
fof(f5173,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(f511,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,[],[f485,f419]) ).
fof(f5171,plain,
( spl0_224
| ~ spl0_15
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f504,f480,f86,f5169]) ).
fof(f504,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,[],[f481,f87]) ).
fof(f5167,plain,
( spl0_223
| ~ spl0_31
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f467,f451,f193,f5165]) ).
fof(f5165,plain,
( spl0_223
<=> ! [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_223])]) ).
fof(f467,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,[],[f452,f194]) ).
fof(f5163,plain,
( spl0_222
| ~ spl0_48
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f991,f937,f315,f5161]) ).
fof(f5161,plain,
( spl0_222
<=> ! [X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,X0)) )
| ~ spl0_48
| ~ spl0_93 ),
inference(resolution,[],[f938,f316]) ).
fof(f5159,plain,
( spl0_221
| ~ spl0_34
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f413,f362,f231,f5157]) ).
fof(f5157,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(f413,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,[],[f363,f232]) ).
fof(f5155,plain,
( spl0_220
| ~ spl0_14
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f397,f362,f81,f5153]) ).
fof(f5153,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(f397,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,[],[f363,f82]) ).
fof(f5151,plain,
( spl0_219
| ~ spl0_36
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f396,f362,f240,f5149]) ).
fof(f5149,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(f396,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,[],[f363,f241]) ).
fof(f4830,plain,
( spl0_218
| ~ spl0_15
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f981,f922,f86,f4828]) ).
fof(f981,plain,
( ! [X0] :
( ~ theorem(not(X0))
| theorem(not(or(X0,X0))) )
| ~ spl0_15
| ~ spl0_89 ),
inference(resolution,[],[f923,f87]) ).
fof(f4538,plain,
( spl0_217
| ~ spl0_45
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f974,f918,f297,f4536]) ).
fof(f4536,plain,
( spl0_217
<=> ! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f297,plain,
( spl0_45
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f918,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(f974,plain,
( ! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(X0) )
| ~ spl0_45
| ~ spl0_88 ),
inference(resolution,[],[f919,f298]) ).
fof(f298,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X2,X0)))
| theorem(or(not(X0),X1)) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f4470,plain,
( spl0_216
| ~ spl0_46
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f618,f589,f301,f4468]) ).
fof(f618,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,[],[f590,f302]) ).
fof(f4466,plain,
( spl0_215
| ~ spl0_50
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f585,f536,f323,f4464]) ).
fof(f4464,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(f585,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,[],[f537,f324]) ).
fof(f4462,plain,
( spl0_214
| ~ spl0_15
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f580,f536,f86,f4460]) ).
fof(f580,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,[],[f537,f87]) ).
fof(f4458,plain,
( spl0_213
| ~ spl0_27
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f575,f527,f172,f4456]) ).
fof(f4456,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(f575,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,[],[f528,f173]) ).
fof(f4454,plain,
( spl0_212
| ~ spl0_52
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f520,f488,f362,f4452]) ).
fof(f4452,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(f520,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,[],[f489,f363]) ).
fof(f4450,plain,
( spl0_211
| ~ spl0_31
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f515,f488,f193,f4448]) ).
fof(f4448,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(f515,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,[],[f489,f194]) ).
fof(f4446,plain,
( spl0_210
| ~ spl0_52
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f509,f484,f362,f4444]) ).
fof(f4444,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(f509,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,[],[f485,f363]) ).
fof(f4442,plain,
( spl0_209
| ~ spl0_52
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f505,f480,f362,f4440]) ).
fof(f4440,plain,
( spl0_209
<=> ! [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_209])]) ).
fof(f505,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,[],[f481,f363]) ).
fof(f4438,plain,
( spl0_208
| ~ spl0_16
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f831,f785,f93,f4436]) ).
fof(f4436,plain,
( spl0_208
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f831,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_16
| ~ spl0_80 ),
inference(resolution,[],[f786,f94]) ).
fof(f4434,plain,
( spl0_207
| ~ spl0_51
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f499,f480,f358,f4432]) ).
fof(f4432,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(f499,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,[],[f481,f359]) ).
fof(f4430,plain,
( spl0_206
| ~ spl0_52
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f497,f476,f362,f4428]) ).
fof(f4428,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(f497,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,[],[f477,f363]) ).
fof(f4426,plain,
( spl0_205
| ~ spl0_31
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f492,f476,f193,f4424]) ).
fof(f4424,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(f492,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,[],[f477,f194]) ).
fof(f4422,plain,
( spl0_204
| ~ spl0_50
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f465,f447,f323,f4420]) ).
fof(f465,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,[],[f448,f324]) ).
fof(f4418,plain,
( spl0_203
| ~ spl0_17
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f458,f443,f103,f4416]) ).
fof(f458,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,[],[f444,f104]) ).
fof(f4414,plain,
( spl0_202
| ~ spl0_54
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f457,f443,f418,f4412]) ).
fof(f457,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,[],[f444,f419]) ).
fof(f4410,plain,
( spl0_201
| ~ spl0_33
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f411,f362,f222,f4408]) ).
fof(f4408,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(f222,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(f411,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,[],[f363,f223]) ).
fof(f223,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),not(or(X2,X0))))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f4406,plain,
( spl0_200
| ~ spl0_32
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f406,f362,f218,f4404]) ).
fof(f4404,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(f406,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,[],[f363,f219]) ).
fof(f4402,plain,
( spl0_199
| ~ spl0_19
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f395,f362,f118,f4400]) ).
fof(f4400,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(f395,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,[],[f363,f119]) ).
fof(f4398,plain,
( spl0_198
| ~ spl0_32
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f386,f358,f218,f4396]) ).
fof(f4396,plain,
( spl0_198
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X3)))
| ~ theorem(X1)
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f386,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,[],[f359,f219]) ).
fof(f4394,plain,
( spl0_197
| ~ spl0_40
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f401,f362,f269,f4392]) ).
fof(f4392,plain,
( spl0_197
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f401,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(X0))) )
| ~ spl0_40
| ~ spl0_52 ),
inference(resolution,[],[f363,f270]) ).
fof(f4390,plain,
( spl0_196
| ~ spl0_30
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f384,f358,f189,f4388]) ).
fof(f4388,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(f384,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,[],[f359,f190]) ).
fof(f4032,plain,
( spl0_195
| ~ spl0_40
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f381,f358,f269,f4030]) ).
fof(f381,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) )
| ~ spl0_40
| ~ spl0_51 ),
inference(resolution,[],[f359,f270]) ).
fof(f3923,plain,
( spl0_194
| ~ spl0_51
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f577,f536,f358,f3921]) ).
fof(f3921,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(f577,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,[],[f537,f359]) ).
fof(f3919,plain,
( spl0_193
| ~ spl0_26
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f569,f527,f164,f3917]) ).
fof(f3917,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(f569,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,[],[f528,f165]) ).
fof(f3915,plain,
( spl0_192
| ~ spl0_51
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f543,f523,f358,f3913]) ).
fof(f543,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,[],[f524,f359]) ).
fof(f3910,plain,
( spl0_191
| ~ spl0_50
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f513,f484,f323,f3908]) ).
fof(f3908,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(f513,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,[],[f485,f324]) ).
fof(f3906,plain,
( spl0_190
| ~ spl0_52
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f470,f451,f362,f3904]) ).
fof(f3904,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(f470,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,[],[f452,f363]) ).
fof(f3902,plain,
( spl0_189
| ~ spl0_15
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f469,f451,f86,f3900]) ).
fof(f3900,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(f469,plain,
( ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) )
| ~ spl0_15
| ~ spl0_57 ),
inference(resolution,[],[f452,f87]) ).
fof(f3898,plain,
( spl0_188
| ~ spl0_51
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f466,f451,f358,f3896]) ).
fof(f3896,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(f466,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,[],[f452,f359]) ).
fof(f3894,plain,
( spl0_187
| ~ spl0_52
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f461,f447,f362,f3892]) ).
fof(f3892,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(f461,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,[],[f448,f363]) ).
fof(f3890,plain,
( spl0_186
| ~ spl0_52
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f455,f443,f362,f3888]) ).
fof(f3888,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(f455,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,[],[f444,f363]) ).
fof(f3886,plain,
( spl0_185
| ~ spl0_28
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f412,f362,f181,f3884]) ).
fof(f3884,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(f412,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,[],[f363,f182]) ).
fof(f3882,plain,
( spl0_184
| ~ spl0_29
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f405,f362,f185,f3880]) ).
fof(f3880,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(f405,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,[],[f363,f186]) ).
fof(f3878,plain,
( spl0_183
| ~ spl0_30
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f404,f362,f189,f3876]) ).
fof(f3876,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(f404,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,[],[f363,f190]) ).
fof(f3874,plain,
( spl0_182
| ~ spl0_12
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f394,f362,f72,f3872]) ).
fof(f3872,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(f394,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,[],[f363,f73]) ).
fof(f3852,plain,
( spl0_181
| ~ spl0_29
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f385,f358,f185,f3850]) ).
fof(f3850,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(f385,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,[],[f359,f186]) ).
fof(f3848,plain,
( spl0_180
| ~ spl0_14
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f377,f358,f81,f3846]) ).
fof(f3846,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(f377,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,[],[f359,f82]) ).
fof(f3844,plain,
( spl0_179
| ~ spl0_36
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f376,f358,f240,f3842]) ).
fof(f3842,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(f376,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,[],[f359,f241]) ).
fof(f3575,plain,
( spl0_178
| ~ spl0_80
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2670,f2103,f785,f3573]) ).
fof(f3573,plain,
( spl0_178
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f2670,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) )
| ~ spl0_80
| ~ spl0_131 ),
inference(resolution,[],[f2104,f786]) ).
fof(f3346,plain,
( spl0_177
| ~ spl0_14
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f601,f589,f81,f3344]) ).
fof(f601,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,[],[f590,f82]) ).
fof(f3342,plain,
( spl0_176
| ~ spl0_36
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f598,f589,f240,f3340]) ).
fof(f598,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,[],[f590,f241]) ).
fof(f3338,plain,
( spl0_175
| ~ spl0_16
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f582,f536,f93,f3336]) ).
fof(f3336,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(f582,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,[],[f537,f94]) ).
fof(f3334,plain,
( spl0_174
| ~ spl0_22
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f565,f527,f140,f3332]) ).
fof(f3332,plain,
( spl0_174
<=> ! [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_174])]) ).
fof(f565,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,[],[f528,f141]) ).
fof(f3330,plain,
( spl0_173
| ~ spl0_16
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1919,f906,f93,f3328]) ).
fof(f1919,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X1),X0))
| ~ spl0_16
| ~ spl0_85 ),
inference(resolution,[],[f907,f94]) ).
fof(f3326,plain,
( spl0_172
| ~ spl0_47
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f554,f527,f311,f3324]) ).
fof(f3324,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(f554,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,[],[f528,f312]) ).
fof(f3322,plain,
( spl0_171
| ~ spl0_16
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f547,f523,f93,f3320]) ).
fof(f3320,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(f547,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_62 ),
inference(resolution,[],[f524,f94]) ).
fof(f3318,plain,
( spl0_170
| ~ spl0_6
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f501,f480,f42,f3316]) ).
fof(f3316,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(f501,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,[],[f481,f43]) ).
fof(f3314,plain,
( spl0_169
| ~ spl0_51
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f491,f476,f358,f3312]) ).
fof(f3312,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(f491,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,[],[f477,f359]) ).
fof(f3310,plain,
( spl0_168
| ~ spl0_50
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f459,f443,f323,f3308]) ).
fof(f459,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,[],[f444,f324]) ).
fof(f3306,plain,
( spl0_167
| ~ spl0_14
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f429,f418,f81,f3304]) ).
fof(f429,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,[],[f419,f82]) ).
fof(f3302,plain,
( spl0_166
| ~ spl0_36
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f426,f418,f240,f3300]) ).
fof(f426,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,[],[f419,f241]) ).
fof(f3298,plain,
( spl0_165
| ~ spl0_19
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f375,f358,f118,f3296]) ).
fof(f3296,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(f375,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,[],[f359,f119]) ).
fof(f3294,plain,
( spl0_164
| ~ spl0_33
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f330,f315,f222,f3292]) ).
fof(f330,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) )
| ~ spl0_33
| ~ spl0_48 ),
inference(resolution,[],[f316,f223]) ).
fof(f2787,plain,
( spl0_163
| ~ spl0_76
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2673,f2103,f747,f2785]) ).
fof(f2673,plain,
( ! [X0] : ~ theorem(not(or(X0,not(X0))))
| ~ spl0_76
| ~ spl0_131 ),
inference(resolution,[],[f2104,f748]) ).
fof(f2711,plain,
( spl0_162
| ~ spl0_26
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f639,f622,f164,f2709]) ).
fof(f2709,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(f639,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_26
| ~ spl0_68 ),
inference(resolution,[],[f623,f165]) ).
fof(f2707,plain,
( spl0_161
| ~ spl0_11
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f627,f622,f67,f2705]) ).
fof(f2705,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(f627,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_11
| ~ spl0_68 ),
inference(resolution,[],[f623,f68]) ).
fof(f2703,plain,
( spl0_160
| ~ spl0_27
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f612,f589,f172,f2701]) ).
fof(f2701,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(f612,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,[],[f590,f173]) ).
fof(f2699,plain,
( spl0_159
| ~ spl0_6
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f579,f536,f42,f2697]) ).
fof(f579,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_6
| ~ spl0_65 ),
inference(resolution,[],[f537,f43]) ).
fof(f2695,plain,
( spl0_158
| ~ spl0_11
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f555,f527,f67,f2693]) ).
fof(f2693,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(f555,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,[],[f528,f68]) ).
fof(f2691,plain,
( spl0_157
| ~ spl0_6
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f545,f523,f42,f2689]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_62 ),
inference(resolution,[],[f524,f43]) ).
fof(f2687,plain,
( spl0_156
| ~ spl0_16
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f521,f488,f93,f2685]) ).
fof(f2685,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(f521,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) )
| ~ spl0_16
| ~ spl0_61 ),
inference(resolution,[],[f489,f94]) ).
fof(f2650,plain,
( spl0_155
| ~ spl0_17
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f518,f488,f103,f2648]) ).
fof(f2648,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(f518,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) )
| ~ spl0_17
| ~ spl0_61 ),
inference(resolution,[],[f489,f104]) ).
fof(f2646,plain,
( spl0_154
| ~ spl0_54
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f517,f488,f418,f2644]) ).
fof(f2644,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(f517,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) )
| ~ spl0_54
| ~ spl0_61 ),
inference(resolution,[],[f489,f419]) ).
fof(f2642,plain,
( spl0_153
| ~ spl0_16
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f506,f480,f93,f2640]) ).
fof(f2640,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(f506,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) )
| ~ spl0_16
| ~ spl0_59 ),
inference(resolution,[],[f481,f94]) ).
fof(f2638,plain,
( spl0_152
| ~ spl0_17
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f503,f480,f103,f2636]) ).
fof(f2636,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(f503,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) )
| ~ spl0_17
| ~ spl0_59 ),
inference(resolution,[],[f481,f104]) ).
fof(f2634,plain,
( spl0_151
| ~ spl0_54
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f502,f480,f418,f2632]) ).
fof(f2632,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(f502,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) )
| ~ spl0_54
| ~ spl0_59 ),
inference(resolution,[],[f481,f419]) ).
fof(f2630,plain,
( spl0_150
| ~ spl0_16
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f498,f476,f93,f2628]) ).
fof(f2628,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(f498,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) )
| ~ spl0_16
| ~ spl0_58 ),
inference(resolution,[],[f477,f94]) ).
fof(f2626,plain,
( spl0_149
| ~ spl0_17
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f495,f476,f103,f2624]) ).
fof(f2624,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(f495,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) )
| ~ spl0_17
| ~ spl0_58 ),
inference(resolution,[],[f477,f104]) ).
fof(f2622,plain,
( spl0_148
| ~ spl0_54
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f494,f476,f418,f2620]) ).
fof(f2620,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(f494,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) )
| ~ spl0_54
| ~ spl0_58 ),
inference(resolution,[],[f477,f419]) ).
fof(f2618,plain,
( spl0_147
| ~ spl0_6
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f468,f451,f42,f2616]) ).
fof(f468,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_57 ),
inference(resolution,[],[f452,f43]) ).
fof(f2614,plain,
( spl0_146
| ~ spl0_49
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f441,f418,f319,f2612]) ).
fof(f441,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,[],[f419,f320]) ).
fof(f2610,plain,
( spl0_145
| ~ spl0_21
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1880,f1807,f136,f2608]) ).
fof(f1880,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_21
| ~ spl0_109 ),
inference(resolution,[],[f1808,f137]) ).
fof(f2606,plain,
( spl0_144
| ~ spl0_32
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f434,f418,f218,f2604]) ).
fof(f2604,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(f434,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_32
| ~ spl0_54 ),
inference(resolution,[],[f419,f219]) ).
fof(f2602,plain,
( spl0_143
| ~ spl0_47
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f428,f418,f311,f2600]) ).
fof(f2600,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(f428,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_54 ),
inference(resolution,[],[f419,f312]) ).
fof(f2598,plain,
( spl0_142
| ~ spl0_19
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f425,f418,f118,f2596]) ).
fof(f2596,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(f425,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19
| ~ spl0_54 ),
inference(resolution,[],[f419,f119]) ).
fof(f2594,plain,
( spl0_141
| ~ spl0_12
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f374,f358,f72,f2592]) ).
fof(f2592,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(f374,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,[],[f359,f73]) ).
fof(f2590,plain,
( spl0_140
| ~ spl0_17
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f341,f319,f103,f2588]) ).
fof(f2588,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(f341,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,[],[f320,f104]) ).
fof(f2586,plain,
( spl0_139
| ~ spl0_27
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f337,f315,f172,f2584]) ).
fof(f337,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) )
| ~ spl0_27
| ~ spl0_48 ),
inference(resolution,[],[f316,f173]) ).
fof(f2582,plain,
( spl0_138
| ~ spl0_17
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f329,f311,f103,f2580]) ).
fof(f2580,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(f329,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) )
| ~ spl0_17
| ~ spl0_47 ),
inference(resolution,[],[f312,f104]) ).
fof(f2129,plain,
( spl0_137
| ~ spl0_26
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f607,f589,f164,f2127]) ).
fof(f607,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_26
| ~ spl0_67 ),
inference(resolution,[],[f590,f165]) ).
fof(f2125,plain,
( spl0_136
| ~ spl0_29
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f605,f589,f185,f2123]) ).
fof(f605,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_29
| ~ spl0_67 ),
inference(resolution,[],[f590,f186]) ).
fof(f2121,plain,
( spl0_135
| ~ spl0_11
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f594,f589,f67,f2119]) ).
fof(f594,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_11
| ~ spl0_67 ),
inference(resolution,[],[f590,f68]) ).
fof(f2117,plain,
( spl0_134
| ~ spl0_6
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f493,f476,f42,f2115]) ).
fof(f2115,plain,
( spl0_134
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_6
| ~ spl0_58 ),
inference(resolution,[],[f477,f43]) ).
fof(f2113,plain,
( spl0_133
| ~ spl0_16
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f471,f451,f93,f2111]) ).
fof(f2111,plain,
( spl0_133
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f471,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) )
| ~ spl0_16
| ~ spl0_57 ),
inference(resolution,[],[f452,f94]) ).
fof(f2109,plain,
( spl0_132
| ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f440,f418,f301,f2107]) ).
fof(f440,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_46
| ~ spl0_54 ),
inference(resolution,[],[f419,f302]) ).
fof(f2105,plain,
( spl0_131
| ~ spl0_78
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f979,f922,f777,f2103]) ).
fof(f979,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) )
| ~ spl0_78
| ~ spl0_89 ),
inference(resolution,[],[f923,f778]) ).
fof(f2101,plain,
( spl0_130
| ~ spl0_29
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f433,f418,f185,f2099]) ).
fof(f433,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_29
| ~ spl0_54 ),
inference(resolution,[],[f419,f186]) ).
fof(f2097,plain,
( spl0_129
| ~ spl0_30
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f432,f418,f189,f2095]) ).
fof(f432,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_30
| ~ spl0_54 ),
inference(resolution,[],[f419,f190]) ).
fof(f2093,plain,
( spl0_128
| ~ spl0_10
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f427,f418,f61,f2091]) ).
fof(f427,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_10
| ~ spl0_54 ),
inference(resolution,[],[f419,f62]) ).
fof(f2089,plain,
( spl0_127
| ~ spl0_12
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f424,f418,f72,f2087]) ).
fof(f424,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_12
| ~ spl0_54 ),
inference(resolution,[],[f419,f73]) ).
fof(f2085,plain,
( spl0_126
| ~ spl0_49
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f416,f362,f319,f2083]) ).
fof(f2083,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(f416,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) )
| ~ spl0_49
| ~ spl0_52 ),
inference(resolution,[],[f363,f320]) ).
fof(f2081,plain,
( spl0_125
| ~ spl0_27
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f408,f362,f172,f2079]) ).
fof(f2079,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(f408,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) )
| ~ spl0_27
| ~ spl0_52 ),
inference(resolution,[],[f363,f173]) ).
fof(f2077,plain,
( spl0_124
| ~ spl0_47
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f392,f362,f311,f2075]) ).
fof(f392,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_52 ),
inference(resolution,[],[f363,f312]) ).
fof(f2073,plain,
( spl0_123
| ~ spl0_27
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f388,f358,f172,f2071]) ).
fof(f388,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_27
| ~ spl0_51 ),
inference(resolution,[],[f359,f173]) ).
fof(f2069,plain,
( spl0_122
| ~ spl0_12
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f345,f323,f72,f2067]) ).
fof(f345,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_12
| ~ spl0_50 ),
inference(resolution,[],[f324,f73]) ).
fof(f2065,plain,
( spl0_121
| ~ spl0_31
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f326,f311,f193,f2063]) ).
fof(f326,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) )
| ~ spl0_31
| ~ spl0_47 ),
inference(resolution,[],[f312,f194]) ).
fof(f2055,plain,
( spl0_120
| ~ spl0_17
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f306,f301,f103,f2053]) ).
fof(f306,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_17
| ~ spl0_46 ),
inference(resolution,[],[f302,f104]) ).
fof(f1849,plain,
( spl0_119
| ~ spl0_10
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f553,f527,f61,f1847]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_10
| ~ spl0_63 ),
inference(resolution,[],[f528,f62]) ).
fof(f1845,plain,
( spl0_118
| ~ spl0_7
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f551,f527,f47,f1843]) ).
fof(f1843,plain,
( spl0_118
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f551,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) )
| ~ spl0_7
| ~ spl0_63 ),
inference(resolution,[],[f528,f48]) ).
fof(f1841,plain,
( spl0_117
| ~ spl0_50
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f519,f488,f323,f1839]) ).
fof(f1839,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f519,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) )
| ~ spl0_50
| ~ spl0_61 ),
inference(resolution,[],[f489,f324]) ).
fof(f1837,plain,
( spl0_116
| ~ spl0_50
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f496,f476,f323,f1835]) ).
fof(f496,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) )
| ~ spl0_50
| ~ spl0_58 ),
inference(resolution,[],[f477,f324]) ).
fof(f1833,plain,
( spl0_115
| ~ spl0_46
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f415,f362,f301,f1831]) ).
fof(f415,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_46
| ~ spl0_52 ),
inference(resolution,[],[f363,f302]) ).
fof(f1829,plain,
( spl0_114
| ~ spl0_25
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f410,f362,f160,f1827]) ).
fof(f1827,plain,
( spl0_114
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f410,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) )
| ~ spl0_25
| ~ spl0_52 ),
inference(resolution,[],[f363,f161]) ).
fof(f1825,plain,
( spl0_113
| ~ spl0_26
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f403,f362,f164,f1823]) ).
fof(f1823,plain,
( spl0_113
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) )
| ~ spl0_26
| ~ spl0_52 ),
inference(resolution,[],[f363,f165]) ).
fof(f1821,plain,
( spl0_112
| ~ spl0_16
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f770,f747,f93,f1819]) ).
fof(f770,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_16
| ~ spl0_76 ),
inference(resolution,[],[f748,f94]) ).
fof(f1817,plain,
( spl0_111
| ~ spl0_11
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f393,f362,f67,f1815]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_11
| ~ spl0_52 ),
inference(resolution,[],[f363,f68]) ).
fof(f1813,plain,
( spl0_110
| ~ spl0_26
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f383,f358,f164,f1811]) ).
fof(f1811,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(f383,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_51 ),
inference(resolution,[],[f359,f165]) ).
fof(f1809,plain,
( spl0_109
| ~ spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f356,f323,f319,f1807]) ).
fof(f356,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) )
| ~ spl0_49
| ~ spl0_50 ),
inference(resolution,[],[f324,f320]) ).
fof(f1805,plain,
( spl0_108
| ~ spl0_47
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f348,f323,f311,f1803]) ).
fof(f348,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_47
| ~ spl0_50 ),
inference(resolution,[],[f324,f312]) ).
fof(f1801,plain,
( spl0_107
| ~ spl0_19
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f346,f323,f118,f1799]) ).
fof(f346,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_19
| ~ spl0_50 ),
inference(resolution,[],[f324,f119]) ).
fof(f1724,plain,
( spl0_106
| ~ spl0_17
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f767,f747,f103,f1722]) ).
fof(f767,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_17
| ~ spl0_76 ),
inference(resolution,[],[f748,f104]) ).
fof(f1708,plain,
( spl0_105
| ~ spl0_23
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f606,f589,f144,f1706]) ).
fof(f606,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_23
| ~ spl0_67 ),
inference(resolution,[],[f590,f145]) ).
fof(f1704,plain,
( spl0_104
| ~ spl0_7
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f592,f589,f47,f1702]) ).
fof(f592,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_7
| ~ spl0_67 ),
inference(resolution,[],[f590,f48]) ).
fof(f1397,plain,
( ~ spl0_103
| spl0_1
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1002,f941,f19,f1394]) ).
fof(f1002,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),not(p)))
| spl0_1
| ~ spl0_94 ),
inference(resolution,[],[f942,f21]) ).
fof(f1067,plain,
( spl0_1
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| spl0_1
| ~ spl0_92 ),
inference(resolution,[],[f934,f21]) ).
fof(f934,plain,
( ! [X0,X1] : theorem(or(X0,X1))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f933,plain,
( spl0_92
<=> ! [X0,X1] : theorem(or(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1066,plain,
( spl0_38
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| spl0_38
| ~ spl0_92 ),
inference(resolution,[],[f934,f256]) ).
fof(f1065,plain,
( spl0_18
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
fof(f1060,plain,
( $false
| spl0_18
| ~ spl0_92 ),
inference(resolution,[],[f934,f115]) ).
fof(f1064,plain,
( spl0_64
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| spl0_64
| ~ spl0_92 ),
inference(resolution,[],[f934,f533]) ).
fof(f1055,plain,
( spl0_102
| spl0_92
| ~ spl0_44
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f407,f362,f287,f933,f1053]) ).
fof(f287,plain,
( spl0_44
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f407,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) )
| ~ spl0_44
| ~ spl0_52 ),
inference(resolution,[],[f363,f288]) ).
fof(f288,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(X0) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f1051,plain,
( spl0_101
| ~ spl0_22
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f380,f358,f140,f1049]) ).
fof(f380,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_22
| ~ spl0_51 ),
inference(resolution,[],[f359,f141]) ).
fof(f1047,plain,
( spl0_100
| ~ spl0_47
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f372,f358,f311,f1045]) ).
fof(f1045,plain,
( spl0_100
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f372,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) )
| ~ spl0_47
| ~ spl0_51 ),
inference(resolution,[],[f359,f312]) ).
fof(f1043,plain,
( ~ spl0_99
| spl0_1
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f959,f914,f19,f1040]) ).
fof(f959,plain,
( ~ theorem(or(q,not(p)))
| spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f915,f21]) ).
fof(f1038,plain,
( spl0_98
| ~ spl0_46
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f355,f323,f301,f1036]) ).
fof(f355,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_46
| ~ spl0_50 ),
inference(resolution,[],[f324,f302]) ).
fof(f1034,plain,
( spl0_97
| ~ spl0_10
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f347,f323,f61,f1032]) ).
fof(f347,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_10
| ~ spl0_50 ),
inference(resolution,[],[f324,f62]) ).
fof(f951,plain,
( spl0_96
| ~ spl0_16
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f760,f743,f93,f949]) ).
fof(f760,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_16
| ~ spl0_75 ),
inference(resolution,[],[f744,f94]) ).
fof(f947,plain,
( spl0_95
| ~ spl0_44
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f611,f589,f287,f945]) ).
fof(f611,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_44
| ~ spl0_67 ),
inference(resolution,[],[f590,f288]) ).
fof(f943,plain,
( spl0_94
| ~ spl0_27
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f436,f418,f172,f941]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_27
| ~ spl0_54 ),
inference(resolution,[],[f419,f173]) ).
fof(f939,plain,
( spl0_93
| ~ spl0_21
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f409,f362,f136,f937]) ).
fof(f409,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_21
| ~ spl0_52 ),
inference(resolution,[],[f363,f137]) ).
fof(f935,plain,
( spl0_91
| spl0_92
| ~ spl0_23
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f402,f362,f144,f933,f930]) ).
fof(f402,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(X2),X2))) )
| ~ spl0_23
| ~ spl0_52 ),
inference(resolution,[],[f363,f145]) ).
fof(f928,plain,
( spl0_90
| ~ spl0_22
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f400,f362,f140,f926]) ).
fof(f400,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_22
| ~ spl0_52 ),
inference(resolution,[],[f363,f141]) ).
fof(f924,plain,
( spl0_89
| ~ spl0_10
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f391,f362,f61,f922]) ).
fof(f391,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_10
| ~ spl0_52 ),
inference(resolution,[],[f363,f62]) ).
fof(f920,plain,
( spl0_88
| ~ spl0_7
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f389,f362,f47,f918]) ).
fof(f389,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) )
| ~ spl0_7
| ~ spl0_52 ),
inference(resolution,[],[f363,f48]) ).
fof(f916,plain,
( spl0_87
| ~ spl0_11
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f373,f358,f67,f914]) ).
fof(f373,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_11
| ~ spl0_51 ),
inference(resolution,[],[f359,f68]) ).
fof(f912,plain,
( spl0_86
| ~ spl0_16
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f328,f311,f93,f910]) ).
fof(f910,plain,
( spl0_86
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f328,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) )
| ~ spl0_16
| ~ spl0_47 ),
inference(resolution,[],[f312,f94]) ).
fof(f908,plain,
( spl0_85
| ~ spl0_17
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f756,f743,f103,f906]) ).
fof(f756,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_17
| ~ spl0_75 ),
inference(resolution,[],[f744,f104]) ).
fof(f848,plain,
( spl0_84
| ~ spl0_26
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f431,f418,f164,f846]) ).
fof(f431,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_26
| ~ spl0_54 ),
inference(resolution,[],[f419,f165]) ).
fof(f844,plain,
( spl0_83
| ~ spl0_6
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f327,f311,f42,f842]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) )
| ~ spl0_6
| ~ spl0_47 ),
inference(resolution,[],[f312,f43]) ).
fof(f840,plain,
( spl0_82
| ~ spl0_17
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f285,f280,f103,f838]) ).
fof(f285,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_17
| ~ spl0_43 ),
inference(resolution,[],[f281,f104]) ).
fof(f836,plain,
( spl0_81
| ~ spl0_17
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f267,f261,f103,f834]) ).
fof(f267,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_17
| ~ spl0_39 ),
inference(resolution,[],[f262,f104]) ).
fof(f787,plain,
( spl0_80
| ~ spl0_7
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f369,f358,f47,f785]) ).
fof(f369,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_51 ),
inference(resolution,[],[f359,f48]) ).
fof(f783,plain,
( spl0_79
| ~ spl0_48
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f338,f319,f315,f781]) ).
fof(f338,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_48
| ~ spl0_49 ),
inference(resolution,[],[f320,f316]) ).
fof(f779,plain,
( spl0_78
| ~ spl0_42
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f304,f297,f276,f777]) ).
fof(f304,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) )
| ~ spl0_42
| ~ spl0_45 ),
inference(resolution,[],[f298,f277]) ).
fof(f277,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f775,plain,
( spl0_77
| ~ spl0_16
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f295,f287,f93,f773]) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_16
| ~ spl0_44 ),
inference(resolution,[],[f288,f94]) ).
fof(f749,plain,
( spl0_76
| ~ spl0_23
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f430,f418,f144,f747]) ).
fof(f430,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_23
| ~ spl0_54 ),
inference(resolution,[],[f419,f145]) ).
fof(f745,plain,
( spl0_75
| ~ spl0_7
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f421,f418,f47,f743]) ).
fof(f421,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_7
| ~ spl0_54 ),
inference(resolution,[],[f419,f48]) ).
fof(f741,plain,
( ~ spl0_74
| ~ spl0_13
| spl0_64 ),
inference(avatar_split_clause,[],[f655,f531,f76,f738]) ).
fof(f76,plain,
( spl0_13
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f655,plain,
( ~ theorem(not(q))
| ~ spl0_13
| spl0_64 ),
inference(resolution,[],[f533,f77]) ).
fof(f77,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f711,plain,
( spl0_73
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f225,f218,f193,f709]) ).
fof(f225,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,[],[f219,f194]) ).
fof(f707,plain,
( spl0_72
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f214,f193,f189,f705]) ).
fof(f214,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,[],[f194,f190]) ).
fof(f667,plain,
( spl0_71
| ~ spl0_31
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f244,f240,f193,f665]) ).
fof(f244,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,[],[f241,f194]) ).
fof(f663,plain,
( spl0_70
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f215,f193,f185,f661]) ).
fof(f215,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,[],[f194,f186]) ).
fof(f659,plain,
( spl0_69
| ~ spl0_14
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f208,f193,f81,f657]) ).
fof(f208,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,[],[f194,f82]) ).
fof(f624,plain,
( spl0_68
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f207,f193,f118,f622]) ).
fof(f207,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,[],[f194,f119]) ).
fof(f591,plain,
( spl0_67
| ~ spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f206,f193,f72,f589]) ).
fof(f206,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,[],[f194,f73]) ).
fof(f542,plain,
( spl0_66
| ~ spl0_16
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f247,f240,f93,f540]) ).
fof(f247,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,[],[f241,f94]) ).
fof(f538,plain,
( spl0_65
| ~ spl0_6
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f226,f218,f42,f536]) ).
fof(f226,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,[],[f219,f43]) ).
fof(f534,plain,
( ~ spl0_64
| spl0_37
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f473,f366,f249,f531]) ).
fof(f473,plain,
( ~ theorem(or(not(p),not(q)))
| spl0_37
| ~ spl0_53 ),
inference(resolution,[],[f367,f251]) ).
fof(f529,plain,
( spl0_63
| ~ spl0_27
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f216,f193,f172,f527]) ).
fof(f216,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,[],[f194,f173]) ).
fof(f525,plain,
( spl0_62
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f200,f189,f42,f523]) ).
fof(f200,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_30 ),
inference(resolution,[],[f190,f43]) ).
fof(f490,plain,
( spl0_61
| ~ spl0_6
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f245,f240,f42,f488]) ).
fof(f245,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_36 ),
inference(resolution,[],[f241,f43]) ).
fof(f486,plain,
( spl0_60
| ~ spl0_16
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f228,f218,f93,f484]) ).
fof(f228,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) )
| ~ spl0_16
| ~ spl0_32 ),
inference(resolution,[],[f219,f94]) ).
fof(f482,plain,
( spl0_59
| ~ spl0_26
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f213,f193,f164,f480]) ).
fof(f213,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_26
| ~ spl0_31 ),
inference(resolution,[],[f194,f165]) ).
fof(f478,plain,
( spl0_58
| ~ spl0_6
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f197,f185,f42,f476]) ).
fof(f197,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_29 ),
inference(resolution,[],[f186,f43]) ).
fof(f453,plain,
( spl0_57
| ~ spl0_22
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f211,f193,f140,f451]) ).
fof(f211,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_22
| ~ spl0_31 ),
inference(resolution,[],[f194,f141]) ).
fof(f449,plain,
( spl0_56
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f202,f189,f93,f447]) ).
fof(f202,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_16
| ~ spl0_30 ),
inference(resolution,[],[f190,f94]) ).
fof(f445,plain,
( spl0_55
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f199,f185,f93,f443]) ).
fof(f199,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f186,f94]) ).
fof(f420,plain,
( spl0_54
| ~ spl0_11
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f205,f193,f67,f418]) ).
fof(f205,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) )
| ~ spl0_11
| ~ spl0_31 ),
inference(resolution,[],[f194,f68]) ).
fof(f368,plain,
( spl0_53
| ~ spl0_6
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f308,f269,f42,f366]) ).
fof(f308,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_40 ),
inference(resolution,[],[f270,f43]) ).
fof(f364,plain,
( spl0_52
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f209,f193,f126,f362]) ).
fof(f209,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) )
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f194,f127]) ).
fof(f360,plain,
( spl0_51
| ~ spl0_6
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f176,f172,f42,f358]) ).
fof(f176,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_27 ),
inference(resolution,[],[f173,f43]) ).
fof(f325,plain,
( spl0_50
| ~ spl0_10
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f204,f193,f61,f323]) ).
fof(f204,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) )
| ~ spl0_10
| ~ spl0_31 ),
inference(resolution,[],[f194,f62]) ).
fof(f321,plain,
( spl0_49
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f179,f172,f93,f319]) ).
fof(f179,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) )
| ~ spl0_16
| ~ spl0_27 ),
inference(resolution,[],[f173,f94]) ).
fof(f317,plain,
( spl0_48
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f178,f172,f86,f315]) ).
fof(f178,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_27 ),
inference(resolution,[],[f173,f87]) ).
fof(f313,plain,
( spl0_47
| ~ spl0_6
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f168,f164,f42,f311]) ).
fof(f168,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_26 ),
inference(resolution,[],[f165,f43]) ).
fof(f303,plain,
( spl0_46
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f170,f164,f93,f301]) ).
fof(f170,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f165,f94]) ).
fof(f299,plain,
( spl0_45
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f148,f140,f42,f297]) ).
fof(f148,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f141,f43]) ).
fof(f289,plain,
( spl0_44
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f134,f126,f103,f287]) ).
fof(f134,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_20 ),
inference(resolution,[],[f127,f104]) ).
fof(f282,plain,
( spl0_43
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f158,f144,f93,f280]) ).
fof(f158,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f145,f94]) ).
fof(f278,plain,
( spl0_41
| spl0_42
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f130,f126,f42,f276,f273]) ).
fof(f130,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f127,f43]) ).
fof(f271,plain,
( spl0_40
| ~ spl0_16
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f266,f261,f93,f269]) ).
fof(f266,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_16
| ~ spl0_39 ),
inference(resolution,[],[f262,f94]) ).
fof(f263,plain,
( spl0_39
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f157,f144,f86,f261]) ).
fof(f157,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_15
| ~ spl0_23 ),
inference(resolution,[],[f145,f87]) ).
fof(f257,plain,
( ~ spl0_38
| spl0_1
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f175,f172,f19,f254]) ).
fof(f175,plain,
( ~ theorem(or(not(not(or(not(p),not(q)))),q))
| spl0_1
| ~ spl0_27 ),
inference(resolution,[],[f173,f21]) ).
fof(f252,plain,
( ~ spl0_37
| spl0_1
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f129,f126,f19,f249]) ).
fof(f129,plain,
( ~ theorem(not(not(or(not(p),not(q)))))
| spl0_1
| ~ spl0_20 ),
inference(resolution,[],[f127,f21]) ).
fof(f242,plain,
( spl0_36
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f110,f103,f81,f240]) ).
fof(f110,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,[],[f104,f82]) ).
fof(f238,plain,
( ~ spl0_35
| spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f131,f126,f113,f235]) ).
fof(f131,plain,
( ~ theorem(not(p))
| spl0_18
| ~ spl0_20 ),
inference(resolution,[],[f127,f115]) ).
fof(f233,plain,
( spl0_34
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f100,f93,f81,f231]) ).
fof(f100,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,[],[f94,f82]) ).
fof(f224,plain,
( spl0_33
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f123,f118,f93,f222]) ).
fof(f123,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) )
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[],[f119,f94]) ).
fof(f220,plain,
( spl0_32
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f122,f118,f103,f218]) ).
fof(f122,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X2,X0)),X1))) )
| ~ spl0_17
| ~ spl0_19 ),
inference(resolution,[],[f119,f104]) ).
fof(f195,plain,
( spl0_31
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f121,f118,f42,f193]) ).
fof(f121,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f119,f43]) ).
fof(f191,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f109,f103,f61,f189]) ).
fof(f109,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f104,f62]) ).
fof(f187,plain,
( spl0_29
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f108,f103,f72,f185]) ).
fof(f108,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_12
| ~ spl0_17 ),
inference(resolution,[],[f104,f73]) ).
fof(f183,plain,
( spl0_28
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f99,f93,f72,f181]) ).
fof(f99,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f94,f73]) ).
fof(f174,plain,
( spl0_27
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f111,f103,f76,f172]) ).
fof(f111,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f104,f77]) ).
fof(f166,plain,
( spl0_26
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f107,f103,f67,f164]) ).
fof(f107,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_11
| ~ spl0_17 ),
inference(resolution,[],[f104,f68]) ).
fof(f162,plain,
( spl0_25
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f98,f93,f67,f160]) ).
fof(f98,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_11
| ~ spl0_16 ),
inference(resolution,[],[f94,f68]) ).
fof(f154,plain,
( ~ spl0_24
| ~ spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f124,f113,f76,f151]) ).
fof(f124,plain,
( ~ theorem(q)
| ~ spl0_13
| spl0_18 ),
inference(resolution,[],[f115,f77]) ).
fof(f146,plain,
( spl0_23
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f106,f103,f47,f144]) ).
fof(f106,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f104,f48]) ).
fof(f142,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f97,f93,f61,f140]) ).
fof(f97,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_10
| ~ spl0_16 ),
inference(resolution,[],[f94,f62]) ).
fof(f138,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f96,f93,f47,f136]) ).
fof(f96,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f94,f48]) ).
fof(f128,plain,
( spl0_20
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f101,f93,f76,f126]) ).
fof(f101,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f94,f77]) ).
fof(f120,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f84,f81,f42,f118]) ).
fof(f84,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f82,f43]) ).
fof(f116,plain,
( ~ spl0_18
| spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f89,f76,f19,f113]) ).
fof(f89,plain,
( ~ theorem(or(not(p),q))
| spl0_1
| ~ spl0_13 ),
inference(resolution,[],[f77,f21]) ).
fof(f105,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f79,f72,f42,f103]) ).
fof(f79,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f73,f43]) ).
fof(f95,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f70,f67,f42,f93]) ).
fof(f70,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f68,f43]) ).
fof(f88,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f65,f61,f42,f86]) ).
fof(f65,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f62,f43]) ).
fof(f83,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f59,f56,f24,f81]) ).
fof(f24,plain,
( spl0_2
<=> ! [X3] :
( ~ axiom(X3)
| theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f56,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(f59,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,[],[f57,f25]) ).
fof(f25,plain,
( ! [X3] :
( ~ axiom(X3)
| theorem(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f57,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,[],[f56]) ).
fof(f78,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f64,f47,f42,f76]) ).
fof(f64,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f48,f43]) ).
fof(f74,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f54,f51,f24,f72]) ).
fof(f51,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(f54,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f52,f25]) ).
fof(f52,plain,
( ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f69,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f45,f38,f24,f67]) ).
fof(f38,plain,
( spl0_5
<=> ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f45,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f39,f25]) ).
fof(f39,plain,
( ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f63,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f36,f32,f24,f61]) ).
fof(f32,plain,
( spl0_4
<=> ! [X0] : axiom(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f36,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f33,f25]) ).
fof(f33,plain,
( ! [X0] : axiom(or(not(or(X0,X0)),X0))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f58,plain,
spl0_9,
inference(avatar_split_clause,[],[f15,f56]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f53,plain,
spl0_8,
inference(avatar_split_clause,[],[f16,f51]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f49,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f35,f28,f24,f47]) ).
fof(f28,plain,
( spl0_3
<=> ! [X0,X1] : axiom(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f35,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f29,f25]) ).
fof(f29,plain,
( ! [X0,X1] : axiom(or(not(X0),or(X1,X0)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f44,plain,
spl0_6,
inference(avatar_split_clause,[],[f17,f42]) ).
fof(f17,plain,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f40,plain,
spl0_5,
inference(avatar_split_clause,[],[f14,f38]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f34,plain,
spl0_4,
inference(avatar_split_clause,[],[f13,f32]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f30,plain,
spl0_3,
inference(avatar_split_clause,[],[f12,f28]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f26,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f24]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f22,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f11,f19]) ).
fof(f11,plain,
~ theorem(or(not(not(or(not(p),not(q)))),or(not(p),q))),
inference(definition_unfolding,[],[f10,f6,f9,f6]) ).
fof(f9,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
~ theorem(implies(and(p,q),implies(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL248-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 23:15:02 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (10330)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (10337)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)
% 0.15/0.37 % (10333)WARNING: value z3 for option sas not known
% 0.15/0.37 % (10331)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (10332)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (10334)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (10333)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)
% 0.15/0.38 % (10335)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)
% 0.15/0.38 % (10336)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.22/0.43 TRYING [5]
% 0.22/0.44 TRYING [5]
% 0.22/0.57 TRYING [6]
% 1.83/0.61 TRYING [6]
% 7.17/1.38 TRYING [7]
% 7.87/1.48 TRYING [1]
% 7.87/1.48 TRYING [2]
% 7.87/1.48 TRYING [3]
% 7.87/1.48 TRYING [4]
% 7.87/1.48 TRYING [7]
% 8.08/1.51 TRYING [5]
% 8.83/1.66 TRYING [6]
% 15.74/2.67 TRYING [7]
% 29.76/4.62 % (10335)First to succeed.
% 29.76/4.64 % (10335)Refutation found. Thanks to Tanya!
% 29.76/4.64 % SZS status Unsatisfiable for theBenchmark
% 29.76/4.64 % SZS output start Proof for theBenchmark
% See solution above
% 29.76/4.65 % (10335)------------------------------
% 29.76/4.65 % (10335)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 29.76/4.65 % (10335)Termination reason: Refutation
% 29.76/4.65
% 29.76/4.65 % (10335)Memory used [KB]: 14242
% 29.76/4.65 % (10335)Time elapsed: 4.261 s
% 29.76/4.65 % (10335)Instructions burned: 14007 (million)
% 29.76/4.65 % (10335)------------------------------
% 29.76/4.65 % (10335)------------------------------
% 29.76/4.65 % (10330)Success in time 4.246 s
%------------------------------------------------------------------------------