TSTP Solution File: LCL274-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL274-3 : 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 : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:45:08 EDT 2024
% Result : Unsatisfiable 21.24s 3.38s
% Output : Refutation 21.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 436
% Syntax : Number of formulae : 1558 ( 25 unt; 0 def)
% Number of atoms : 4992 ( 4 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 6529 (3095 ~;3009 |; 0 &)
% ( 425 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 429 ( 427 usr; 426 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 2986 (2986 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23445,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f28,f32,f36,f42,f46,f51,f55,f60,f65,f71,f76,f80,f85,f90,f96,f106,f116,f120,f131,f135,f139,f150,f154,f158,f166,f174,f178,f182,f186,f215,f219,f228,f232,f237,f248,f252,f259,f268,f272,f282,f286,f290,f294,f329,f333,f337,f389,f414,f418,f422,f446,f450,f454,f458,f493,f497,f501,f505,f509,f558,f591,f595,f628,f632,f636,f676,f680,f731,f735,f739,f743,f791,f795,f799,f803,f807,f867,f871,f875,f879,f883,f887,f894,f898,f902,f906,f931,f991,f995,f999,f1003,f1007,f1011,f1019,f1644,f1648,f1742,f1746,f1750,f1754,f1768,f1772,f1776,f1780,f1784,f1788,f1792,f1796,f1826,f2011,f2015,f2019,f2023,f2027,f2031,f2035,f2039,f2043,f2047,f2082,f2086,f2090,f2094,f2098,f2102,f2106,f2185,f2540,f2544,f2548,f2552,f2556,f2560,f2564,f2568,f2572,f2576,f2580,f2584,f2588,f2592,f2596,f2600,f2604,f2608,f2612,f2616,f2620,f2624,f2628,f2632,f2636,f2640,f2695,f2700,f2701,f2702,f2790,f4683,f4687,f4691,f4696,f4700,f4704,f4708,f4712,f4716,f4720,f4724,f4728,f4732,f4736,f5172,f5236,f5240,f5244,f5248,f5252,f5256,f5260,f5264,f5268,f5272,f5276,f5280,f5284,f5288,f5292,f5296,f5300,f5329,f5586,f5771,f5775,f5779,f5783,f5787,f5791,f5795,f5799,f5803,f5807,f5811,f5815,f5819,f5823,f5827,f5831,f5835,f5839,f5843,f5847,f5851,f5855,f5913,f5914,f5915,f5916,f5917,f5918,f5919,f5920,f5921,f5922,f5923,f5924,f5925,f5926,f5927,f5928,f5929,f5930,f5931,f5932,f5933,f5934,f5935,f5936,f5937,f5938,f5939,f5940,f5941,f5942,f5943,f5944,f5945,f5946,f5947,f5948,f5949,f5950,f5951,f5952,f5953,f5954,f5955,f5956,f5957,f5958,f5959,f5960,f5961,f5962,f5963,f5964,f5965,f5966,f5967,f5968,f5969,f7940,f9008,f9035,f9039,f9689,f9693,f9697,f9709,f9713,f9717,f9721,f9725,f9729,f9733,f9737,f9741,f9745,f9750,f9754,f9758,f9762,f9766,f9770,f9774,f9778,f9782,f9786,f9790,f9794,f9798,f9802,f9806,f9810,f9814,f9818,f9822,f9826,f9830,f9834,f9838,f9842,f9846,f9850,f10942,f11269,f11300,f11304,f11308,f11312,f11316,f11320,f11324,f11328,f11332,f11336,f11340,f11344,f11348,f11352,f11356,f11360,f11364,f11368,f11372,f11376,f11380,f11384,f11388,f11392,f11933,f12702,f13276,f13280,f13284,f13288,f13292,f13296,f13300,f13304,f13308,f13312,f13316,f13320,f13401,f14331,f14335,f14339,f14343,f14347,f14351,f14355,f14359,f14363,f14367,f14371,f14375,f14379,f14383,f14387,f14888,f15187,f15191,f15195,f15199,f15203,f15207,f15211,f15215,f15654,f15658,f15662,f15666,f15670,f15674,f15678,f15682,f15686,f15690,f15694,f15698,f15702,f16835,f16839,f16843,f16847,f16851,f16855,f16859,f17673,f17677,f17681,f17685,f17718,f18243,f18247,f18251,f18255,f18788,f18792,f18796,f19059,f19063,f19067,f19238,f19345,f20140,f20144,f20148,f20152,f20156,f20160,f20164,f20168,f20172,f20176,f20180,f20184,f20188,f20192,f20196,f20200,f20204,f20208,f20212,f20216,f20220,f20224,f20228,f20232,f20236,f20240,f20841,f21407,f21737,f21741,f21745,f21749,f21753,f21757,f21761,f21765,f21769,f21773,f21777,f21781,f21785,f21789,f21793,f21797,f21801,f21805,f21809,f21813,f21817,f21821,f21825,f21829,f21833,f21837,f21841,f21845,f21849,f21853,f21857,f21861,f21865,f21869,f21873,f21877,f21881,f21998,f22727,f23444]) ).
fof(f23444,plain,
( ~ spl0_11
| spl0_425 ),
inference(avatar_contradiction_clause,[],[f23430]) ).
fof(f23430,plain,
( $false
| ~ spl0_11
| spl0_425 ),
inference(resolution,[],[f21997,f70]) ).
fof(f70,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_11
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f21997,plain,
( ~ theorem(or(not(or(p,q)),or(q,p)))
| spl0_425 ),
inference(avatar_component_clause,[],[f21995]) ).
fof(f21995,plain,
( spl0_425
<=> theorem(or(not(or(p,q)),or(q,p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f22727,plain,
( ~ spl0_11
| spl0_424 ),
inference(avatar_contradiction_clause,[],[f22713]) ).
fof(f22713,plain,
( $false
| ~ spl0_11
| spl0_424 ),
inference(resolution,[],[f21993,f70]) ).
fof(f21993,plain,
( ~ theorem(or(not(or(q,p)),or(p,q)))
| spl0_424 ),
inference(avatar_component_clause,[],[f21991]) ).
fof(f21991,plain,
( spl0_424
<=> theorem(or(not(or(q,p)),or(p,q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f21998,plain,
( ~ spl0_424
| ~ spl0_425
| spl0_2
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f21972,f21739,f25,f21995,f21991]) ).
fof(f25,plain,
( spl0_2
<=> theorem(not(or(not(or(not(or(p,q)),or(q,p))),not(or(not(or(q,p)),or(p,q)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f21739,plain,
( spl0_388
<=> ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f21972,plain,
( ~ theorem(or(not(or(p,q)),or(q,p)))
| ~ theorem(or(not(or(q,p)),or(p,q)))
| spl0_2
| ~ spl0_388 ),
inference(resolution,[],[f21740,f27]) ).
fof(f27,plain,
( ~ theorem(not(or(not(or(not(or(p,q)),or(q,p))),not(or(not(or(q,p)),or(p,q))))))
| spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f21740,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f21739]) ).
fof(f21881,plain,
( spl0_423
| ~ spl0_64
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f17129,f16841,f593,f21879]) ).
fof(f21879,plain,
( spl0_423
<=> ! [X0,X1] : theorem(or(not(or(not(not(X0)),X1)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f593,plain,
( spl0_64
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f16841,plain,
( spl0_337
<=> ! [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_337])]) ).
fof(f17129,plain,
( ! [X0,X1] : theorem(or(not(or(not(not(X0)),X1)),or(X0,X1)))
| ~ spl0_64
| ~ spl0_337 ),
inference(resolution,[],[f16842,f594]) ).
fof(f594,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f16842,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_337 ),
inference(avatar_component_clause,[],[f16841]) ).
fof(f21877,plain,
( spl0_422
| ~ spl0_64
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f16106,f15672,f593,f21875]) ).
fof(f21875,plain,
( spl0_422
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f15672,plain,
( spl0_327
<=> ! [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_327])]) ).
fof(f16106,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1)))))
| ~ spl0_64
| ~ spl0_327 ),
inference(resolution,[],[f15673,f594]) ).
fof(f15673,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_327 ),
inference(avatar_component_clause,[],[f15672]) ).
fof(f21873,plain,
( spl0_421
| ~ spl0_64
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f10009,f9711,f593,f21871]) ).
fof(f21871,plain,
( spl0_421
<=> ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f9711,plain,
( spl0_222
<=> ! [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_222])]) ).
fof(f10009,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(X1,not(X1))))),X0))
| ~ spl0_64
| ~ spl0_222 ),
inference(resolution,[],[f9712,f594]) ).
fof(f9712,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(or(X0,not(X1))),X0),X1))
| theorem(or(not(or(X0,not(X1))),X0)) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f9711]) ).
fof(f21869,plain,
( spl0_420
| ~ spl0_22
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f9988,f9711,f137,f21867]) ).
fof(f21867,plain,
( spl0_420
<=> ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f137,plain,
( spl0_22
<=> ! [X0,X1] : theorem(or(X0,or(not(X1),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f9988,plain,
( ! [X0,X1] : theorem(or(not(or(X0,not(or(not(X1),X1)))),X0))
| ~ spl0_22
| ~ spl0_222 ),
inference(resolution,[],[f9712,f138]) ).
fof(f138,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f21865,plain,
( spl0_419
| ~ spl0_18
| ~ spl0_216 ),
inference(avatar_split_clause,[],[f9623,f9033,f114,f21863]) ).
fof(f21863,plain,
( spl0_419
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f114,plain,
( spl0_18
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f9033,plain,
( spl0_216
<=> ! [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_216])]) ).
fof(f9623,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(not(or(not(X0),X1)))
| ~ theorem(not(X1)) )
| ~ spl0_18
| ~ spl0_216 ),
inference(resolution,[],[f9034,f115]) ).
fof(f115,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f9034,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(X1)
| theorem(not(or(not(X1),X0))) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f9033]) ).
fof(f21861,plain,
( spl0_418
| ~ spl0_107
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f5613,f5290,f1778,f21859]) ).
fof(f21859,plain,
( spl0_418
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f1778,plain,
( spl0_107
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f5290,plain,
( spl0_187
<=> ! [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_187])]) ).
fof(f5613,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X2))
| ~ theorem(not(X2)) )
| ~ spl0_107
| ~ spl0_187 ),
inference(resolution,[],[f5291,f1779]) ).
fof(f1779,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f5291,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(not(X0),X2),or(not(X0),X2)))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f5290]) ).
fof(f21857,plain,
( spl0_417
| ~ spl0_35
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f4579,f2626,f235,f21855]) ).
fof(f21855,plain,
( spl0_417
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f235,plain,
( spl0_35
<=> ! [X0] : theorem(or(X0,not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2626,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f4579,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(not(not(X0))),X1)) )
| ~ spl0_35
| ~ spl0_153 ),
inference(resolution,[],[f2627,f236]) ).
fof(f236,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f2627,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X2),X0))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f21853,plain,
( spl0_416
| ~ spl0_10
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f4543,f2626,f63,f21851]) ).
fof(f21851,plain,
( spl0_416
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f63,plain,
( spl0_10
<=> ! [X0] : theorem(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f4543,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(X1)
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_10
| ~ spl0_153 ),
inference(resolution,[],[f2627,f64]) ).
fof(f64,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f21849,plain,
( spl0_415
| ~ spl0_6
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f20069,f15696,f44,f21847]) ).
fof(f21847,plain,
( spl0_415
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,not(not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f44,plain,
( spl0_6
<=> ! [X4,X3] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f15696,plain,
( spl0_333
<=> ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f20069,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,not(not(X0)))) )
| ~ spl0_6
| ~ spl0_333 ),
inference(resolution,[],[f15697,f45]) ).
fof(f45,plain,
( ! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f15697,plain,
( ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0))
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f15696]) ).
fof(f21845,plain,
( spl0_414
| ~ spl0_58
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f4541,f2626,f495,f21843]) ).
fof(f21843,plain,
( spl0_414
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X0,X2)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f495,plain,
( spl0_58
<=> ! [X0,X1] : theorem(or(not(X0),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f4541,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X0,X2)),X1)) )
| ~ spl0_58
| ~ spl0_153 ),
inference(resolution,[],[f2627,f496]) ).
fof(f496,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f21841,plain,
( spl0_413
| ~ spl0_7
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f4540,f2626,f49,f21839]) ).
fof(f21839,plain,
( spl0_413
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f49,plain,
( spl0_7
<=> ! [X0,X1] : theorem(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4540,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(not(or(X2,X0)),X1)) )
| ~ spl0_7
| ~ spl0_153 ),
inference(resolution,[],[f2627,f50]) ).
fof(f50,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f21837,plain,
( spl0_412
| ~ spl0_44
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4492,f2618,f288,f21835]) ).
fof(f21835,plain,
( spl0_412
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f288,plain,
( spl0_44
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f2618,plain,
( spl0_151
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f4492,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(not(X1),X0),X0)) )
| ~ spl0_44
| ~ spl0_151 ),
inference(resolution,[],[f2619,f289]) ).
fof(f289,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f2619,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(X0),X1),or(not(X0),X1)))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f21833,plain,
( spl0_411
| ~ spl0_139
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4487,f2618,f2570,f21831]) ).
fof(f21831,plain,
( spl0_411
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(X0,not(X1)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f2570,plain,
( spl0_139
<=> ! [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_139])]) ).
fof(f4487,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(or(X0,not(X1)),X0)) )
| ~ spl0_139
| ~ spl0_151 ),
inference(resolution,[],[f2619,f2571]) ).
fof(f2571,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f2570]) ).
fof(f21829,plain,
( spl0_410
| ~ spl0_10
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f4266,f2574,f63,f21827]) ).
fof(f21827,plain,
( spl0_410
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f2574,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f4266,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(or(X0,X0)) )
| ~ spl0_10
| ~ spl0_140 ),
inference(resolution,[],[f2575,f64]) ).
fof(f2575,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f2574]) ).
fof(f21825,plain,
( spl0_409
| ~ spl0_50
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2658,f2542,f412,f21823]) ).
fof(f21823,plain,
( spl0_409
<=> ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f412,plain,
( spl0_50
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2542,plain,
( spl0_132
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f2658,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1)))
| ~ spl0_50
| ~ spl0_132 ),
inference(resolution,[],[f2543,f413]) ).
fof(f413,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f2543,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X0,or(X1,X2)),X2))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f21821,plain,
( spl0_408
| ~ spl0_15
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2251,f2025,f88,f21819]) ).
fof(f21819,plain,
( spl0_408
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(not(or(X0,not(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f88,plain,
( spl0_15
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f2025,plain,
( spl0_117
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2251,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| theorem(not(or(X0,not(X1)))) )
| ~ spl0_15
| ~ spl0_117 ),
inference(resolution,[],[f2026,f89]) ).
fof(f89,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f2026,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f21817,plain,
( spl0_407
| ~ spl0_45
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f2174,f2017,f292,f21815]) ).
fof(f21815,plain,
( spl0_407
<=> ! [X0] : theorem(or(not(or(X0,or(or(X0,X0),X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f292,plain,
( spl0_45
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f2017,plain,
( spl0_115
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f2174,plain,
( ! [X0] : theorem(or(not(or(X0,or(or(X0,X0),X0))),X0))
| ~ spl0_45
| ~ spl0_115 ),
inference(resolution,[],[f2018,f293]) ).
fof(f293,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f2018,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f2017]) ).
fof(f21813,plain,
( spl0_406
| ~ spl0_26
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f2153,f2013,f164,f21811]) ).
fof(f21811,plain,
( spl0_406
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,not(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f164,plain,
( spl0_26
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2013,plain,
( spl0_114
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f2153,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X2)
| ~ theorem(or(X0,not(X2))) )
| ~ spl0_26
| ~ spl0_114 ),
inference(resolution,[],[f2014,f165]) ).
fof(f165,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f2014,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X2,not(X0))))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f21809,plain,
( spl0_405
| ~ spl0_6
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1913,f1782,f44,f21807]) ).
fof(f21807,plain,
( spl0_405
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f1782,plain,
( spl0_108
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1913,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_108 ),
inference(resolution,[],[f1783,f45]) ).
fof(f1783,plain,
( ! [X0,X1] :
( theorem(or(not(or(X1,or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f21805,plain,
( spl0_404
| ~ spl0_21
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f20000,f15652,f133,f21803]) ).
fof(f21803,plain,
( spl0_404
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f133,plain,
( spl0_21
<=> ! [X0] : theorem(or(X0,not(or(X0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f15652,plain,
( spl0_322
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f20000,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_21
| ~ spl0_322 ),
inference(resolution,[],[f15653,f134]) ).
fof(f134,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f15653,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(X0)
| ~ theorem(not(X1)) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f15652]) ).
fof(f21801,plain,
( spl0_403
| ~ spl0_76
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1866,f1748,f797,f21799]) ).
fof(f21799,plain,
( spl0_403
<=> ! [X2,X0,X1,X3] : theorem(or(or(X0,or(or(not(X1),X1),X2)),X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f797,plain,
( spl0_76
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1748,plain,
( spl0_102
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1866,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(X0,or(or(not(X1),X1),X2)),X3))
| ~ spl0_76
| ~ spl0_102 ),
inference(resolution,[],[f1749,f798]) ).
fof(f798,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f1749,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(or(X2,X2),X1))
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f21797,plain,
( spl0_402
| ~ spl0_6
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f1813,f1744,f44,f21795]) ).
fof(f21795,plain,
( spl0_402
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(X1,X1),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1744,plain,
( spl0_101
<=> ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1813,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(X1,X1),not(X0))) )
| ~ spl0_6
| ~ spl0_101 ),
inference(resolution,[],[f1745,f45]) ).
fof(f1745,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f21793,plain,
( spl0_401
| ~ spl0_6
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1800,f1740,f44,f21791]) ).
fof(f21791,plain,
( spl0_401
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1740,plain,
( spl0_100
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1800,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(X1)
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_100 ),
inference(resolution,[],[f1741,f45]) ).
fof(f1741,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f21789,plain,
( spl0_400
| ~ spl0_16
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1737,f1646,f94,f21787]) ).
fof(f21787,plain,
( spl0_400
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f94,plain,
( spl0_16
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1646,plain,
( spl0_99
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1737,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(or(X0,X1)),X1)),X2))
| ~ spl0_16
| ~ spl0_99 ),
inference(resolution,[],[f1647,f95]) ).
fof(f95,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f1647,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f21785,plain,
( spl0_399
| ~ spl0_17
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1733,f1646,f104,f21783]) ).
fof(f21783,plain,
( spl0_399
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f104,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(f1733,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X0,X2)),X2))))
| ~ spl0_17
| ~ spl0_99 ),
inference(resolution,[],[f1647,f105]) ).
fof(f105,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f21781,plain,
( spl0_398
| ~ spl0_49
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1732,f1646,f387,f21779]) ).
fof(f21779,plain,
( spl0_398
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,X2)),X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f387,plain,
( spl0_49
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1732,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,X2)),X2),X1)))
| ~ spl0_49
| ~ spl0_99 ),
inference(resolution,[],[f1647,f388]) ).
fof(f388,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f21777,plain,
( spl0_397
| ~ spl0_16
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1725,f1642,f94,f21775]) ).
fof(f21775,plain,
( spl0_397
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f1642,plain,
( spl0_98
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1725,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X2))))
| ~ spl0_16
| ~ spl0_98 ),
inference(resolution,[],[f1643,f95]) ).
fof(f1643,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f21773,plain,
( spl0_396
| ~ spl0_45
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1723,f1642,f292,f21771]) ).
fof(f21771,plain,
( spl0_396
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f1723,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),X1)),or(X0,X1)))
| ~ spl0_45
| ~ spl0_98 ),
inference(resolution,[],[f1643,f293]) ).
fof(f21769,plain,
( spl0_395
| ~ spl0_17
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1722,f1642,f104,f21767]) ).
fof(f21767,plain,
( spl0_395
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f1722,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X0,X1)),or(X2,X1))))
| ~ spl0_17
| ~ spl0_98 ),
inference(resolution,[],[f1643,f105]) ).
fof(f21765,plain,
( spl0_394
| ~ spl0_49
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1721,f1642,f387,f21763]) ).
fof(f21763,plain,
( spl0_394
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f1721,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X2,X1),X0)))
| ~ spl0_49
| ~ spl0_98 ),
inference(resolution,[],[f1643,f388]) ).
fof(f21761,plain,
( spl0_393
| ~ spl0_90
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f19984,f15652,f929,f21759]) ).
fof(f21759,plain,
( spl0_393
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(X1,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f929,plain,
( spl0_90
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f19984,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(X1,not(X0)))) )
| ~ spl0_90
| ~ spl0_322 ),
inference(resolution,[],[f15653,f930]) ).
fof(f930,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f21757,plain,
( spl0_392
| ~ spl0_16
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1713,f1001,f94,f21755]) ).
fof(f21755,plain,
( spl0_392
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),not(X0))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f1001,plain,
( spl0_94
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1713,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(not(X0),not(X0))),X1)) )
| ~ spl0_16
| ~ spl0_94 ),
inference(resolution,[],[f1002,f95]) ).
fof(f1002,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f21753,plain,
( spl0_391
| ~ spl0_16
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1667,f993,f94,f21751]) ).
fof(f21751,plain,
( spl0_391
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X0))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f993,plain,
( spl0_92
<=> ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1667,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X0))),X1)))
| ~ spl0_16
| ~ spl0_92 ),
inference(resolution,[],[f994,f95]) ).
fof(f994,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f21749,plain,
( spl0_390
| ~ spl0_16
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1658,f989,f94,f21747]) ).
fof(f21747,plain,
( spl0_390
<=> ! [X0] : theorem(or(X0,not(or(or(X0,X0),or(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f989,plain,
( spl0_91
<=> ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1658,plain,
( ! [X0] : theorem(or(X0,not(or(or(X0,X0),or(X0,X0)))))
| ~ spl0_16
| ~ spl0_91 ),
inference(resolution,[],[f990,f95]) ).
fof(f990,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f21745,plain,
( spl0_389
| ~ spl0_6
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f963,f900,f44,f21743]) ).
fof(f21743,plain,
( spl0_389
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f900,plain,
( spl0_88
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f963,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X1,X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_88 ),
inference(resolution,[],[f901,f45]) ).
fof(f901,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f21741,plain,
( spl0_388
| ~ spl0_42
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f834,f801,f280,f21739]) ).
fof(f280,plain,
( spl0_42
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f801,plain,
( spl0_77
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f834,plain,
( ! [X0,X1] :
( theorem(not(or(not(X0),not(X1))))
| ~ theorem(X0)
| ~ theorem(X1) )
| ~ spl0_42
| ~ spl0_77 ),
inference(resolution,[],[f802,f281]) ).
fof(f281,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f802,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,not(X0)))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f21737,plain,
( spl0_387
| ~ spl0_62
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f826,f797,f556,f21735]) ).
fof(f21735,plain,
( spl0_387
<=> ! [X2,X0,X1,X3] : theorem(or(X0,or(X1,or(or(not(X2),X2),X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f556,plain,
( spl0_62
<=> ! [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_62])]) ).
fof(f826,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(X1,or(or(not(X2),X2),X3))))
| ~ spl0_62
| ~ spl0_76 ),
inference(resolution,[],[f798,f557]) ).
fof(f557,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f21407,plain,
( spl0_386
| ~ spl0_74
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f19927,f15652,f789,f21405]) ).
fof(f21405,plain,
( spl0_386
<=> ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f789,plain,
( spl0_74
<=> ! [X0,X1] : theorem(or(X0,or(not(X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f19927,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(not(or(not(X0),X1))) )
| ~ spl0_74
| ~ spl0_322 ),
inference(resolution,[],[f15653,f790]) ).
fof(f790,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f20841,plain,
( spl0_385
| ~ spl0_58
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f19855,f15652,f495,f20839]) ).
fof(f20839,plain,
( spl0_385
<=> ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f19855,plain,
( ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X0,X1))) )
| ~ spl0_58
| ~ spl0_322 ),
inference(resolution,[],[f15653,f496]) ).
fof(f20240,plain,
( spl0_384
| ~ spl0_18
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f4745,f4681,f114,f20238]) ).
fof(f20238,plain,
( spl0_384
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f4681,plain,
( spl0_158
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f4745,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(not(X1)) )
| ~ spl0_18
| ~ spl0_158 ),
inference(resolution,[],[f4682,f115]) ).
fof(f4682,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X1),not(or(X0,X1))))
| theorem(or(X0,not(or(X0,X1)))) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f4681]) ).
fof(f20236,plain,
( spl0_383
| ~ spl0_7
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f19853,f15652,f49,f20234]) ).
fof(f20234,plain,
( spl0_383
<=> ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f19853,plain,
( ! [X0,X1] :
( theorem(not(X0))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_7
| ~ spl0_322 ),
inference(resolution,[],[f15653,f50]) ).
fof(f20232,plain,
( spl0_382
| ~ spl0_15
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f4259,f2570,f88,f20230]) ).
fof(f20230,plain,
( spl0_382
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f4259,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X1,X0)) )
| ~ spl0_15
| ~ spl0_139 ),
inference(resolution,[],[f2571,f89]) ).
fof(f20228,plain,
( spl0_381
| ~ spl0_71
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2248,f2025,f733,f20226]) ).
fof(f20226,plain,
( spl0_381
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f733,plain,
( spl0_71
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f2248,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) )
| ~ spl0_71
| ~ spl0_117 ),
inference(resolution,[],[f2026,f734]) ).
fof(f734,plain,
( ! [X0] :
( ~ theorem(or(not(X0),not(X0)))
| ~ theorem(X0) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f20224,plain,
( spl0_380
| ~ spl0_7
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f2186,f2021,f49,f20222]) ).
fof(f20222,plain,
( spl0_380
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f2021,plain,
( spl0_116
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f2186,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,or(X3,X0)))) )
| ~ spl0_7
| ~ spl0_116 ),
inference(resolution,[],[f2022,f50]) ).
fof(f2022,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(X3)
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f2021]) ).
fof(f20220,plain,
( spl0_379
| ~ spl0_25
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f2137,f2013,f156,f20218]) ).
fof(f20218,plain,
( spl0_379
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),X0))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f156,plain,
( spl0_25
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2137,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),X0))))
| ~ theorem(X1) )
| ~ spl0_25
| ~ spl0_114 ),
inference(resolution,[],[f2014,f157]) ).
fof(f157,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f20216,plain,
( spl0_378
| ~ spl0_80
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1975,f1794,f869,f20214]) ).
fof(f20214,plain,
( spl0_378
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f869,plain,
( spl0_80
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1794,plain,
( spl0_111
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1975,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X2)) )
| ~ spl0_80
| ~ spl0_111 ),
inference(resolution,[],[f1795,f870]) ).
fof(f870,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f1795,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f20212,plain,
( spl0_377
| ~ spl0_43
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1898,f1778,f284,f20210]) ).
fof(f20210,plain,
( spl0_377
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,X0)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f284,plain,
( spl0_43
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1898,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(not(or(X1,X0)),X1)) )
| ~ spl0_43
| ~ spl0_107 ),
inference(resolution,[],[f1779,f285]) ).
fof(f285,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f20208,plain,
( spl0_376
| ~ spl0_15
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1887,f1766,f88,f20206]) ).
fof(f20206,plain,
( spl0_376
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f1766,plain,
( spl0_104
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1887,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| theorem(not(or(X1,X0))) )
| ~ spl0_15
| ~ spl0_104 ),
inference(resolution,[],[f1767,f89]) ).
fof(f1767,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f20204,plain,
( spl0_375
| ~ spl0_73
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1858,f1748,f741,f20202]) ).
fof(f20202,plain,
( spl0_375
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f741,plain,
( spl0_73
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1858,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(X2) )
| ~ spl0_73
| ~ spl0_102 ),
inference(resolution,[],[f1749,f742]) ).
fof(f742,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f20200,plain,
( spl0_374
| ~ spl0_44
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1830,f1748,f288,f20198]) ).
fof(f20198,plain,
( spl0_374
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f1830,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(X1,X2)) )
| ~ spl0_44
| ~ spl0_102 ),
inference(resolution,[],[f1749,f289]) ).
fof(f20196,plain,
( spl0_373
| ~ spl0_6
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1656,f989,f44,f20194]) ).
fof(f20194,plain,
( spl0_373
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f1656,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(or(X0,X0),or(X0,X0))) )
| ~ spl0_6
| ~ spl0_91 ),
inference(resolution,[],[f990,f45]) ).
fof(f20192,plain,
( spl0_372
| ~ spl0_112
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f19670,f14373,f1824,f20190]) ).
fof(f20190,plain,
( spl0_372
<=> ! [X0,X1] : ~ theorem(not(or(X0,or(X1,not(X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f1824,plain,
( spl0_112
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f14373,plain,
( spl0_309
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f19670,plain,
( ! [X0,X1] : ~ theorem(not(or(X0,or(X1,not(X1)))))
| ~ spl0_112
| ~ spl0_309 ),
inference(resolution,[],[f14374,f1825]) ).
fof(f1825,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| ~ theorem(not(X0)) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1824]) ).
fof(f14374,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2))
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f14373]) ).
fof(f20188,plain,
( spl0_371
| ~ spl0_16
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f986,f904,f94,f20186]) ).
fof(f20186,plain,
( spl0_371
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(or(X1,or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f904,plain,
( spl0_89
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f986,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,or(X0,X2)),X3)) )
| ~ spl0_16
| ~ spl0_89 ),
inference(resolution,[],[f905,f95]) ).
fof(f905,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f20184,plain,
( spl0_370
| ~ spl0_16
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f972,f900,f94,f20182]) ).
fof(f20182,plain,
( spl0_370
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f972,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X2),X0)) )
| ~ spl0_16
| ~ spl0_88 ),
inference(resolution,[],[f901,f95]) ).
fof(f20180,plain,
( spl0_369
| ~ spl0_15
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f970,f900,f88,f20178]) ).
fof(f20178,plain,
( spl0_369
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f970,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X0))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_88 ),
inference(resolution,[],[f901,f89]) ).
fof(f20176,plain,
( spl0_368
| ~ spl0_17
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f966,f900,f104,f20174]) ).
fof(f20174,plain,
( spl0_368
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f966,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_88 ),
inference(resolution,[],[f901,f105]) ).
fof(f20172,plain,
( spl0_367
| ~ spl0_72
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f950,f896,f737,f20170]) ).
fof(f20170,plain,
( spl0_367
<=> ! [X2,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f737,plain,
( spl0_72
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f896,plain,
( spl0_87
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f950,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_72
| ~ spl0_87 ),
inference(resolution,[],[f897,f738]) ).
fof(f738,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f897,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f20168,plain,
( spl0_366
| ~ spl0_72
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f938,f881,f737,f20166]) ).
fof(f20166,plain,
( spl0_366
<=> ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f881,plain,
( spl0_83
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f938,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(or(X1,not(or(X0,X0)))) )
| ~ spl0_72
| ~ spl0_83 ),
inference(resolution,[],[f882,f738]) ).
fof(f882,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f20164,plain,
( spl0_365
| ~ spl0_16
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f926,f869,f94,f20162]) ).
fof(f20162,plain,
( spl0_365
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f926,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_16
| ~ spl0_80 ),
inference(resolution,[],[f870,f95]) ).
fof(f20160,plain,
( spl0_364
| ~ spl0_17
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f920,f869,f104,f20158]) ).
fof(f20158,plain,
( spl0_364
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f920,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,or(X2,X0))) )
| ~ spl0_17
| ~ spl0_80 ),
inference(resolution,[],[f870,f105]) ).
fof(f20156,plain,
( spl0_363
| ~ spl0_6
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f811,f793,f44,f20154]) ).
fof(f20154,plain,
( spl0_363
<=> ! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f793,plain,
( spl0_75
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f811,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_75 ),
inference(resolution,[],[f794,f45]) ).
fof(f794,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f20152,plain,
( spl0_362
| ~ spl0_17
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f750,f729,f104,f20150]) ).
fof(f20150,plain,
( spl0_362
<=> ! [X2,X0,X1,X3] :
( ~ theorem(X0)
| theorem(or(X1,or(or(X0,X2),X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f729,plain,
( spl0_70
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f750,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(or(X0,X2),X3))) )
| ~ spl0_17
| ~ spl0_70 ),
inference(resolution,[],[f730,f105]) ).
fof(f730,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(X0) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f20148,plain,
( spl0_361
| ~ spl0_6
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f19517,f13282,f44,f20146]) ).
fof(f20146,plain,
( spl0_361
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f13282,plain,
( spl0_287
<=> ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f19517,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,or(X0,X0))) )
| ~ spl0_6
| ~ spl0_287 ),
inference(resolution,[],[f13283,f45]) ).
fof(f13283,plain,
( ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0))
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f13282]) ).
fof(f20144,plain,
( spl0_360
| ~ spl0_48
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f702,f495,f335,f20142]) ).
fof(f20142,plain,
( spl0_360
<=> ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f335,plain,
( spl0_48
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f702,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X0,X2))) )
| ~ spl0_48
| ~ spl0_58 ),
inference(resolution,[],[f496,f336]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,X1))
| ~ theorem(not(X2)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f20140,plain,
( spl0_359
| ~ spl0_30
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f274,f235,f184,f20138]) ).
fof(f20138,plain,
( spl0_359
<=> ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f184,plain,
( spl0_30
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f274,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_30
| ~ spl0_35 ),
inference(resolution,[],[f236,f185]) ).
fof(f185,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f19345,plain,
( spl0_358
| ~ spl0_43
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f692,f674,f284,f19343]) ).
fof(f19343,plain,
( spl0_358
<=> ! [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_358])]) ).
fof(f674,plain,
( spl0_68
<=> ! [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_68])]) ).
fof(f692,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_43
| ~ spl0_68 ),
inference(resolution,[],[f675,f285]) ).
fof(f675,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f19238,plain,
( spl0_357
| ~ spl0_43
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f660,f630,f284,f19236]) ).
fof(f19236,plain,
( spl0_357
<=> ! [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_357])]) ).
fof(f630,plain,
( spl0_66
<=> ! [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_66])]) ).
fof(f660,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_43
| ~ spl0_66 ),
inference(resolution,[],[f631,f285]) ).
fof(f631,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f19067,plain,
( spl0_356
| ~ spl0_15
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f689,f674,f88,f19065]) ).
fof(f19065,plain,
( spl0_356
<=> ! [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_356])]) ).
fof(f689,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_68 ),
inference(resolution,[],[f675,f89]) ).
fof(f19063,plain,
( spl0_355
| ~ spl0_43
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f672,f634,f284,f19061]) ).
fof(f19061,plain,
( spl0_355
<=> ! [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_355])]) ).
fof(f634,plain,
( spl0_67
<=> ! [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_67])]) ).
fof(f672,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_43
| ~ spl0_67 ),
inference(resolution,[],[f635,f285]) ).
fof(f635,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f19059,plain,
( spl0_354
| ~ spl0_112
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f18318,f11378,f1824,f19057]) ).
fof(f19057,plain,
( spl0_354
<=> ! [X0,X1] : ~ theorem(not(or(X0,or(not(X1),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f11378,plain,
( spl0_279
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f18318,plain,
( ! [X0,X1] : ~ theorem(not(or(X0,or(not(X1),X1))))
| ~ spl0_112
| ~ spl0_279 ),
inference(resolution,[],[f11379,f1825]) ).
fof(f11379,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f11378]) ).
fof(f18796,plain,
( spl0_353
| ~ spl0_43
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f716,f678,f284,f18794]) ).
fof(f18794,plain,
( spl0_353
<=> ! [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_353])]) ).
fof(f678,plain,
( spl0_69
<=> ! [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_69])]) ).
fof(f716,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_43
| ~ spl0_69 ),
inference(resolution,[],[f679,f285]) ).
fof(f679,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_69 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f18792,plain,
( spl0_352
| ~ spl0_43
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f648,f626,f284,f18790]) ).
fof(f18790,plain,
( spl0_352
<=> ! [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_352])]) ).
fof(f626,plain,
( spl0_65
<=> ! [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_65])]) ).
fof(f648,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_43
| ~ spl0_65 ),
inference(resolution,[],[f627,f285]) ).
fof(f627,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f18788,plain,
( spl0_351
| ~ spl0_57
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f571,f556,f491,f18786]) ).
fof(f18786,plain,
( spl0_351
<=> ! [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_351])]) ).
fof(f491,plain,
( spl0_57
<=> ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f571,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_57
| ~ spl0_62 ),
inference(resolution,[],[f557,f492]) ).
fof(f492,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f18255,plain,
( spl0_350
| ~ spl0_59
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f704,f678,f499,f18253]) ).
fof(f18253,plain,
( spl0_350
<=> ! [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_350])]) ).
fof(f499,plain,
( spl0_59
<=> ! [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_59])]) ).
fof(f704,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_59
| ~ spl0_69 ),
inference(resolution,[],[f679,f500]) ).
fof(f500,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(or(X0,X3))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f18251,plain,
( spl0_349
| ~ spl0_59
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f681,f674,f499,f18249]) ).
fof(f18249,plain,
( spl0_349
<=> ! [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_349])]) ).
fof(f681,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_59
| ~ spl0_68 ),
inference(resolution,[],[f675,f500]) ).
fof(f18247,plain,
( spl0_348
| ~ spl0_15
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f657,f630,f88,f18245]) ).
fof(f18245,plain,
( spl0_348
<=> ! [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_348])]) ).
fof(f657,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_66 ),
inference(resolution,[],[f631,f89]) ).
fof(f18243,plain,
( spl0_347
| ~ spl0_57
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f608,f589,f491,f18241]) ).
fof(f18241,plain,
( spl0_347
<=> ! [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_347])]) ).
fof(f589,plain,
( spl0_63
<=> ! [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_63])]) ).
fof(f608,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_57
| ~ spl0_63 ),
inference(resolution,[],[f590,f492]) ).
fof(f590,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f17718,plain,
( spl0_346
| ~ spl0_62
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f688,f674,f556,f17716]) ).
fof(f17716,plain,
( spl0_346
<=> ! [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_346])]) ).
fof(f688,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_62
| ~ spl0_68 ),
inference(resolution,[],[f675,f557]) ).
fof(f17685,plain,
( spl0_345
| ~ spl0_59
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f661,f634,f499,f17683]) ).
fof(f17683,plain,
( spl0_345
<=> ! [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_345])]) ).
fof(f661,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_59
| ~ spl0_67 ),
inference(resolution,[],[f635,f500]) ).
fof(f17681,plain,
( spl0_344
| ~ spl0_59
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f649,f630,f499,f17679]) ).
fof(f17679,plain,
( spl0_344
<=> ! [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_344])]) ).
fof(f649,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_59
| ~ spl0_66 ),
inference(resolution,[],[f631,f500]) ).
fof(f17677,plain,
( spl0_343
| ~ spl0_59
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f637,f626,f499,f17675]) ).
fof(f17675,plain,
( spl0_343
<=> ! [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_343])]) ).
fof(f637,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_59
| ~ spl0_65 ),
inference(resolution,[],[f627,f500]) ).
fof(f17673,plain,
( spl0_342
| ~ spl0_51
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f582,f556,f416,f17671]) ).
fof(f17671,plain,
( spl0_342
<=> ! [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_342])]) ).
fof(f416,plain,
( spl0_51
<=> ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f582,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_51
| ~ spl0_62 ),
inference(resolution,[],[f557,f417]) ).
fof(f417,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f16859,plain,
( spl0_341
| ~ spl0_63
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f708,f678,f589,f16857]) ).
fof(f16857,plain,
( spl0_341
<=> ! [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_341])]) ).
fof(f708,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_63
| ~ spl0_69 ),
inference(resolution,[],[f679,f590]) ).
fof(f16855,plain,
( spl0_340
| ~ spl0_30
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f706,f678,f184,f16853]) ).
fof(f16853,plain,
( spl0_340
<=> ! [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_340])]) ).
fof(f706,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_30
| ~ spl0_69 ),
inference(resolution,[],[f679,f185]) ).
fof(f16851,plain,
( spl0_339
| ~ spl0_63
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f685,f674,f589,f16849]) ).
fof(f16849,plain,
( spl0_339
<=> ! [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_339])]) ).
fof(f685,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_63
| ~ spl0_68 ),
inference(resolution,[],[f675,f590]) ).
fof(f16847,plain,
( spl0_338
| ~ spl0_30
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f683,f674,f184,f16845]) ).
fof(f16845,plain,
( spl0_338
<=> ! [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_338])]) ).
fof(f683,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_30
| ~ spl0_68 ),
inference(resolution,[],[f675,f185]) ).
fof(f16843,plain,
( spl0_337
| ~ spl0_15
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f669,f634,f88,f16841]) ).
fof(f669,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_67 ),
inference(resolution,[],[f635,f89]) ).
fof(f16839,plain,
( spl0_336
| ~ spl0_51
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f619,f589,f416,f16837]) ).
fof(f16837,plain,
( spl0_336
<=> ! [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_336])]) ).
fof(f619,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_51
| ~ spl0_63 ),
inference(resolution,[],[f590,f417]) ).
fof(f16835,plain,
( spl0_335
| ~ spl0_60
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f607,f589,f503,f16833]) ).
fof(f16833,plain,
( spl0_335
<=> ! [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_335])]) ).
fof(f503,plain,
( spl0_60
<=> ! [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_60])]) ).
fof(f607,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_60
| ~ spl0_63 ),
inference(resolution,[],[f590,f504]) ).
fof(f504,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(X2) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f15702,plain,
( spl0_334
| ~ spl0_15
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f713,f678,f88,f15700]) ).
fof(f15700,plain,
( spl0_334
<=> ! [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_334])]) ).
fof(f713,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_69 ),
inference(resolution,[],[f679,f89]) ).
fof(f15698,plain,
( spl0_333
| ~ spl0_20
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f9986,f9711,f129,f15696]) ).
fof(f129,plain,
( spl0_20
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f9986,plain,
( ! [X0] : theorem(or(not(or(X0,not(not(X0)))),X0))
| ~ spl0_20
| ~ spl0_222 ),
inference(resolution,[],[f9712,f130]) ).
fof(f130,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f15694,plain,
( spl0_332
| ~ spl0_62
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f712,f678,f556,f15692]) ).
fof(f15692,plain,
( spl0_332
<=> ! [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_332])]) ).
fof(f712,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_62
| ~ spl0_69 ),
inference(resolution,[],[f679,f557]) ).
fof(f15690,plain,
( spl0_331
| ~ spl0_63
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f666,f634,f589,f15688]) ).
fof(f15688,plain,
( spl0_331
<=> ! [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_331])]) ).
fof(f666,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_63
| ~ spl0_67 ),
inference(resolution,[],[f635,f590]) ).
fof(f15686,plain,
( spl0_330
| ~ spl0_30
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f663,f634,f184,f15684]) ).
fof(f15684,plain,
( spl0_330
<=> ! [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_330])]) ).
fof(f663,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_30
| ~ spl0_67 ),
inference(resolution,[],[f635,f185]) ).
fof(f15682,plain,
( spl0_329
| ~ spl0_63
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f654,f630,f589,f15680]) ).
fof(f15680,plain,
( spl0_329
<=> ! [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_329])]) ).
fof(f654,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_63
| ~ spl0_66 ),
inference(resolution,[],[f631,f590]) ).
fof(f15678,plain,
( spl0_328
| ~ spl0_30
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f651,f630,f184,f15676]) ).
fof(f15676,plain,
( spl0_328
<=> ! [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_328])]) ).
fof(f651,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_30
| ~ spl0_66 ),
inference(resolution,[],[f631,f185]) ).
fof(f15674,plain,
( spl0_327
| ~ spl0_15
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f645,f626,f88,f15672]) ).
fof(f645,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_65 ),
inference(resolution,[],[f627,f89]) ).
fof(f15670,plain,
( spl0_326
| ~ spl0_63
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f642,f626,f589,f15668]) ).
fof(f15668,plain,
( spl0_326
<=> ! [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_326])]) ).
fof(f642,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_63
| ~ spl0_65 ),
inference(resolution,[],[f627,f590]) ).
fof(f15666,plain,
( spl0_325
| ~ spl0_30
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f639,f626,f184,f15664]) ).
fof(f15664,plain,
( spl0_325
<=> ! [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_325])]) ).
fof(f639,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_30
| ~ spl0_65 ),
inference(resolution,[],[f627,f185]) ).
fof(f15662,plain,
( spl0_324
| ~ spl0_55
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f620,f589,f452,f15660]) ).
fof(f15660,plain,
( spl0_324
<=> ! [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_324])]) ).
fof(f452,plain,
( spl0_55
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f620,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_55
| ~ spl0_63 ),
inference(resolution,[],[f590,f453]) ).
fof(f453,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X2,X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f15658,plain,
( spl0_323
| ~ spl0_60
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f570,f556,f503,f15656]) ).
fof(f15656,plain,
( spl0_323
<=> ! [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_323])]) ).
fof(f570,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_60
| ~ spl0_62 ),
inference(resolution,[],[f557,f504]) ).
fof(f15654,plain,
( spl0_322
| ~ spl0_107
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4493,f2618,f1778,f15652]) ).
fof(f4493,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(not(X1)) )
| ~ spl0_107
| ~ spl0_151 ),
inference(resolution,[],[f2619,f1779]) ).
fof(f15215,plain,
( spl0_321
| ~ spl0_48
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f714,f678,f335,f15213]) ).
fof(f15213,plain,
( spl0_321
<=> ! [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_321])]) ).
fof(f714,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_48
| ~ spl0_69 ),
inference(resolution,[],[f679,f336]) ).
fof(f15211,plain,
( spl0_320
| ~ spl0_46
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f705,f678,f327,f15209]) ).
fof(f15209,plain,
( spl0_320
<=> ! [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_320])]) ).
fof(f327,plain,
( spl0_46
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f705,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_46
| ~ spl0_69 ),
inference(resolution,[],[f679,f328]) ).
fof(f328,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f15207,plain,
( spl0_319
| ~ spl0_48
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f690,f674,f335,f15205]) ).
fof(f15205,plain,
( spl0_319
<=> ! [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_319])]) ).
fof(f690,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_48
| ~ spl0_68 ),
inference(resolution,[],[f675,f336]) ).
fof(f15203,plain,
( spl0_318
| ~ spl0_64
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f2687,f2542,f593,f15201]) ).
fof(f15201,plain,
( spl0_318
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f2687,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(X2,not(X2)))))
| ~ spl0_64
| ~ spl0_132 ),
inference(resolution,[],[f2543,f594]) ).
fof(f15199,plain,
( spl0_317
| ~ spl0_46
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f682,f674,f327,f15197]) ).
fof(f15197,plain,
( spl0_317
<=> ! [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_317])]) ).
fof(f682,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_46
| ~ spl0_68 ),
inference(resolution,[],[f675,f328]) ).
fof(f15195,plain,
( spl0_316
| ~ spl0_50
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f623,f589,f412,f15193]) ).
fof(f15193,plain,
( spl0_316
<=> ! [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_316])]) ).
fof(f623,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_50
| ~ spl0_63 ),
inference(resolution,[],[f590,f413]) ).
fof(f15191,plain,
( spl0_315
| ~ spl0_55
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f583,f556,f452,f15189]) ).
fof(f15189,plain,
( spl0_315
<=> ! [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_315])]) ).
fof(f583,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_55
| ~ spl0_62 ),
inference(resolution,[],[f557,f453]) ).
fof(f15187,plain,
( spl0_314
| ~ spl0_43
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f475,f448,f284,f15185]) ).
fof(f15185,plain,
( spl0_314
<=> ! [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_314])]) ).
fof(f448,plain,
( spl0_54
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f475,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_43
| ~ spl0_54 ),
inference(resolution,[],[f449,f285]) ).
fof(f449,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f14888,plain,
( spl0_313
| ~ spl0_24
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1953,f1794,f152,f14886]) ).
fof(f14886,plain,
( spl0_313
<=> ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f152,plain,
( spl0_24
<=> ! [X0] : theorem(or(not(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1953,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X0)),or(X1,X0)))
| ~ spl0_24
| ~ spl0_111 ),
inference(resolution,[],[f1795,f153]) ).
fof(f153,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f14387,plain,
( spl0_312
| ~ spl0_45
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f711,f678,f292,f14385]) ).
fof(f14385,plain,
( spl0_312
<=> ! [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_312])]) ).
fof(f711,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_45
| ~ spl0_69 ),
inference(resolution,[],[f679,f293]) ).
fof(f14383,plain,
( spl0_311
| ~ spl0_48
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f670,f634,f335,f14381]) ).
fof(f14381,plain,
( spl0_311
<=> ! [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_311])]) ).
fof(f670,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_48
| ~ spl0_67 ),
inference(resolution,[],[f635,f336]) ).
fof(f14379,plain,
( spl0_310
| ~ spl0_46
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f662,f634,f327,f14377]) ).
fof(f14377,plain,
( spl0_310
<=> ! [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_310])]) ).
fof(f662,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_46
| ~ spl0_67 ),
inference(resolution,[],[f635,f328]) ).
fof(f14375,plain,
( spl0_309
| ~ spl0_64
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1861,f1748,f593,f14373]) ).
fof(f1861,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,not(X1))),X2))
| ~ spl0_64
| ~ spl0_102 ),
inference(resolution,[],[f1749,f594]) ).
fof(f14371,plain,
( spl0_308
| ~ spl0_48
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f658,f630,f335,f14369]) ).
fof(f14369,plain,
( spl0_308
<=> ! [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_308])]) ).
fof(f658,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_48
| ~ spl0_66 ),
inference(resolution,[],[f631,f336]) ).
fof(f14367,plain,
( spl0_307
| ~ spl0_46
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f650,f630,f327,f14365]) ).
fof(f14365,plain,
( spl0_307
<=> ! [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_307])]) ).
fof(f650,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_46
| ~ spl0_66 ),
inference(resolution,[],[f631,f328]) ).
fof(f14363,plain,
( spl0_306
| ~ spl0_48
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f646,f626,f335,f14361]) ).
fof(f14361,plain,
( spl0_306
<=> ! [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_306])]) ).
fof(f646,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_48
| ~ spl0_65 ),
inference(resolution,[],[f627,f336]) ).
fof(f14359,plain,
( spl0_305
| ~ spl0_46
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f638,f626,f327,f14357]) ).
fof(f14357,plain,
( spl0_305
<=> ! [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_305])]) ).
fof(f638,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_46
| ~ spl0_65 ),
inference(resolution,[],[f627,f328]) ).
fof(f14355,plain,
( spl0_304
| ~ spl0_50
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f586,f556,f412,f14353]) ).
fof(f14353,plain,
( spl0_304
<=> ! [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_304])]) ).
fof(f586,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_50
| ~ spl0_62 ),
inference(resolution,[],[f557,f413]) ).
fof(f14351,plain,
( spl0_303
| ~ spl0_31
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f540,f499,f213,f14349]) ).
fof(f14349,plain,
( spl0_303
<=> ! [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_303])]) ).
fof(f213,plain,
( spl0_31
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X2,X0)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f540,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_31
| ~ spl0_59 ),
inference(resolution,[],[f500,f214]) ).
fof(f214,plain,
( ! [X2,X0,X1] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f14347,plain,
( spl0_302
| ~ spl0_29
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f538,f499,f180,f14345]) ).
fof(f14345,plain,
( spl0_302
<=> ! [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_302])]) ).
fof(f180,plain,
( spl0_29
<=> ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f538,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_29
| ~ spl0_59 ),
inference(resolution,[],[f500,f181]) ).
fof(f181,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f14343,plain,
( spl0_301
| ~ spl0_54
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f537,f499,f448,f14341]) ).
fof(f14341,plain,
( spl0_301
<=> ! [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_301])]) ).
fof(f537,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_54
| ~ spl0_59 ),
inference(resolution,[],[f500,f449]) ).
fof(f14339,plain,
( spl0_300
| ~ spl0_17
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f516,f491,f104,f14337]) ).
fof(f14337,plain,
( spl0_300
<=> ! [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_300])]) ).
fof(f516,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_57 ),
inference(resolution,[],[f492,f105]) ).
fof(f14335,plain,
( spl0_299
| ~ spl0_49
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f515,f491,f387,f14333]) ).
fof(f14333,plain,
( spl0_299
<=> ! [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_299])]) ).
fof(f515,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_49
| ~ spl0_57 ),
inference(resolution,[],[f492,f388]) ).
fof(f14331,plain,
( spl0_298
| ~ spl0_22
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1843,f1748,f137,f14329]) ).
fof(f14329,plain,
( spl0_298
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f1843,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(not(X1),X1)),X2))
| ~ spl0_22
| ~ spl0_102 ),
inference(resolution,[],[f1749,f138]) ).
fof(f13401,plain,
( spl0_297
| ~ spl0_23
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1832,f1748,f148,f13399]) ).
fof(f13399,plain,
( spl0_297
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f148,plain,
( spl0_23
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1832,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X1,X1))),X1))
| ~ spl0_23
| ~ spl0_102 ),
inference(resolution,[],[f1749,f149]) ).
fof(f149,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f13320,plain,
( spl0_296
| ~ spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f707,f678,f44,f13318]) ).
fof(f13318,plain,
( spl0_296
<=> ! [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_296])]) ).
fof(f707,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_69 ),
inference(resolution,[],[f679,f45]) ).
fof(f13316,plain,
( spl0_295
| ~ spl0_6
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f684,f674,f44,f13314]) ).
fof(f13314,plain,
( spl0_295
<=> ! [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_295])]) ).
fof(f684,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_68 ),
inference(resolution,[],[f675,f45]) ).
fof(f13312,plain,
( spl0_294
| ~ spl0_14
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f605,f589,f83,f13310]) ).
fof(f13310,plain,
( spl0_294
<=> ! [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_294])]) ).
fof(f83,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(f605,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_63 ),
inference(resolution,[],[f590,f84]) ).
fof(f84,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,[],[f83]) ).
fof(f13308,plain,
( spl0_293
| ~ spl0_34
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f602,f589,f230,f13306]) ).
fof(f13306,plain,
( spl0_293
<=> ! [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_293])]) ).
fof(f230,plain,
( spl0_34
<=> ! [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_34])]) ).
fof(f602,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_34
| ~ spl0_63 ),
inference(resolution,[],[f590,f231]) ).
fof(f231,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2))))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f13304,plain,
( spl0_292
| ~ spl0_59
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f543,f503,f499,f13302]) ).
fof(f13302,plain,
( spl0_292
<=> ! [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_292])]) ).
fof(f543,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_59
| ~ spl0_60 ),
inference(resolution,[],[f504,f500]) ).
fof(f13300,plain,
( spl0_291
| ~ spl0_28
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f539,f499,f176,f13298]) ).
fof(f13298,plain,
( spl0_291
<=> ! [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_291])]) ).
fof(f176,plain,
( spl0_28
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f539,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_28
| ~ spl0_59 ),
inference(resolution,[],[f500,f177]) ).
fof(f177,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f13296,plain,
( spl0_290
| ~ spl0_52
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f533,f499,f420,f13294]) ).
fof(f13294,plain,
( spl0_290
<=> ! [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_290])]) ).
fof(f420,plain,
( spl0_52
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f533,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_52
| ~ spl0_59 ),
inference(resolution,[],[f500,f421]) ).
fof(f421,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f13292,plain,
( spl0_289
| ~ spl0_57
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f529,f499,f491,f13290]) ).
fof(f13290,plain,
( spl0_289
<=> ! [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_289])]) ).
fof(f529,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_57
| ~ spl0_59 ),
inference(resolution,[],[f500,f492]) ).
fof(f13288,plain,
( spl0_288
| ~ spl0_14
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f527,f499,f83,f13286]) ).
fof(f13286,plain,
( spl0_288
<=> ! [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_288])]) ).
fof(f527,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_59 ),
inference(resolution,[],[f500,f84]) ).
fof(f13284,plain,
( spl0_287
| ~ spl0_43
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1665,f993,f284,f13282]) ).
fof(f1665,plain,
( ! [X0] : theorem(or(not(or(X0,or(X0,X0))),X0))
| ~ spl0_43
| ~ spl0_92 ),
inference(resolution,[],[f994,f285]) ).
fof(f13280,plain,
( spl0_286
| ~ spl0_34
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f526,f499,f230,f13278]) ).
fof(f13278,plain,
( spl0_286
<=> ! [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_286])]) ).
fof(f526,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_34
| ~ spl0_59 ),
inference(resolution,[],[f500,f231]) ).
fof(f13276,plain,
( spl0_285
| ~ spl0_43
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f442,f420,f284,f13274]) ).
fof(f13274,plain,
( spl0_285
<=> ! [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_285])]) ).
fof(f442,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,not(or(not(X1),not(X1)))),X1))
| theorem(or(X0,not(or(not(X1),not(X1))))) )
| ~ spl0_43
| ~ spl0_52 ),
inference(resolution,[],[f421,f285]) ).
fof(f12702,plain,
( spl0_284
| ~ spl0_16
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f863,f805,f94,f12700]) ).
fof(f12700,plain,
( spl0_284
<=> ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f805,plain,
( spl0_78
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f863,plain,
( ! [X0,X1] : theorem(or(or(X0,not(or(X0,X1))),X1))
| ~ spl0_16
| ~ spl0_78 ),
inference(resolution,[],[f806,f95]) ).
fof(f806,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f11933,plain,
( spl0_283
| ~ spl0_16
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f830,f797,f94,f11931]) ).
fof(f11931,plain,
( spl0_283
<=> ! [X2,X0,X1] : theorem(or(or(or(not(X0),X0),X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f830,plain,
( ! [X2,X0,X1] : theorem(or(or(or(not(X0),X0),X1),X2))
| ~ spl0_16
| ~ spl0_76 ),
inference(resolution,[],[f798,f95]) ).
fof(f11392,plain,
( spl0_282
| ~ spl0_16
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f715,f678,f94,f11390]) ).
fof(f11390,plain,
( spl0_282
<=> ! [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_282])]) ).
fof(f715,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_69 ),
inference(resolution,[],[f679,f95]) ).
fof(f11388,plain,
( spl0_281
| ~ spl0_49
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f709,f678,f387,f11386]) ).
fof(f11386,plain,
( spl0_281
<=> ! [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_281])]) ).
fof(f709,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_49
| ~ spl0_69 ),
inference(resolution,[],[f679,f388]) ).
fof(f11384,plain,
( spl0_280
| ~ spl0_16
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f691,f674,f94,f11382]) ).
fof(f11382,plain,
( spl0_280
<=> ! [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_280])]) ).
fof(f691,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_68 ),
inference(resolution,[],[f675,f95]) ).
fof(f11380,plain,
( spl0_279
| ~ spl0_49
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f823,f797,f387,f11378]) ).
fof(f823,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(X2),X2))))
| ~ spl0_49
| ~ spl0_76 ),
inference(resolution,[],[f798,f388]) ).
fof(f11376,plain,
( spl0_278
| ~ spl0_17
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f687,f674,f104,f11374]) ).
fof(f11374,plain,
( spl0_278
<=> ! [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_278])]) ).
fof(f687,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_68 ),
inference(resolution,[],[f675,f105]) ).
fof(f11372,plain,
( spl0_277
| ~ spl0_49
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f686,f674,f387,f11370]) ).
fof(f11370,plain,
( spl0_277
<=> ! [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_277])]) ).
fof(f686,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(or(not(X1),X2),or(not(X1),X2)))))) )
| ~ spl0_49
| ~ spl0_68 ),
inference(resolution,[],[f675,f388]) ).
fof(f11368,plain,
( spl0_276
| ~ spl0_6
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f664,f634,f44,f11366]) ).
fof(f11366,plain,
( spl0_276
<=> ! [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_276])]) ).
fof(f664,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_67 ),
inference(resolution,[],[f635,f45]) ).
fof(f11364,plain,
( spl0_275
| ~ spl0_6
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f652,f630,f44,f11362]) ).
fof(f11362,plain,
( spl0_275
<=> ! [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_275])]) ).
fof(f652,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_66 ),
inference(resolution,[],[f631,f45]) ).
fof(f11360,plain,
( spl0_274
| ~ spl0_6
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f640,f626,f44,f11358]) ).
fof(f11358,plain,
( spl0_274
<=> ! [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_274])]) ).
fof(f640,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_65 ),
inference(resolution,[],[f627,f45]) ).
fof(f11356,plain,
( spl0_273
| ~ spl0_44
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f624,f589,f288,f11354]) ).
fof(f11354,plain,
( spl0_273
<=> ! [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_273])]) ).
fof(f624,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_44
| ~ spl0_63 ),
inference(resolution,[],[f590,f289]) ).
fof(f11352,plain,
( spl0_272
| ~ spl0_31
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f614,f589,f213,f11350]) ).
fof(f11350,plain,
( spl0_272
<=> ! [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_272])]) ).
fof(f614,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_31
| ~ spl0_63 ),
inference(resolution,[],[f590,f214]) ).
fof(f11348,plain,
( spl0_271
| ~ spl0_54
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f611,f589,f448,f11346]) ).
fof(f11346,plain,
( spl0_271
<=> ! [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_271])]) ).
fof(f611,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_54
| ~ spl0_63 ),
inference(resolution,[],[f590,f449]) ).
fof(f11344,plain,
( spl0_270
| ~ spl0_56
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f606,f589,f456,f11342]) ).
fof(f11342,plain,
( spl0_270
<=> ! [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_270])]) ).
fof(f456,plain,
( spl0_56
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f606,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_56
| ~ spl0_63 ),
inference(resolution,[],[f590,f457]) ).
fof(f457,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f11340,plain,
( spl0_269
| ~ spl0_42
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f604,f589,f280,f11338]) ).
fof(f11338,plain,
( spl0_269
<=> ! [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_269])]) ).
fof(f604,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_42
| ~ spl0_63 ),
inference(resolution,[],[f590,f281]) ).
fof(f11336,plain,
( spl0_268
| ~ spl0_16
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f817,f793,f94,f11334]) ).
fof(f11334,plain,
( spl0_268
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f817,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X1),X0))
| ~ spl0_16
| ~ spl0_75 ),
inference(resolution,[],[f794,f95]) ).
fof(f11332,plain,
( spl0_267
| ~ spl0_53
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f601,f589,f444,f11330]) ).
fof(f11330,plain,
( spl0_267
<=> ! [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_267])]) ).
fof(f444,plain,
( spl0_53
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f601,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_53
| ~ spl0_63 ),
inference(resolution,[],[f590,f445]) ).
fof(f445,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f11328,plain,
( spl0_266
| ~ spl0_19
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f600,f589,f118,f11326]) ).
fof(f11326,plain,
( spl0_266
<=> ! [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_266])]) ).
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(f600,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_63 ),
inference(resolution,[],[f590,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(f11324,plain,
( spl0_265
| ~ spl0_17
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f551,f503,f104,f11322]) ).
fof(f11322,plain,
( spl0_265
<=> ! [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_265])]) ).
fof(f551,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_60 ),
inference(resolution,[],[f504,f105]) ).
fof(f11320,plain,
( spl0_264
| ~ spl0_49
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f550,f503,f387,f11318]) ).
fof(f11318,plain,
( spl0_264
<=> ! [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_264])]) ).
fof(f550,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_49
| ~ spl0_60 ),
inference(resolution,[],[f504,f388]) ).
fof(f11316,plain,
( spl0_263
| ~ spl0_56
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f528,f499,f456,f11314]) ).
fof(f11314,plain,
( spl0_263
<=> ! [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_263])]) ).
fof(f528,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_56
| ~ spl0_59 ),
inference(resolution,[],[f500,f457]) ).
fof(f11312,plain,
( spl0_262
| ~ spl0_53
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f525,f499,f444,f11310]) ).
fof(f11310,plain,
( spl0_262
<=> ! [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_262])]) ).
fof(f525,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_53
| ~ spl0_59 ),
inference(resolution,[],[f500,f445]) ).
fof(f11308,plain,
( spl0_261
| ~ spl0_19
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f524,f499,f118,f11306]) ).
fof(f11306,plain,
( spl0_261
<=> ! [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_261])]) ).
fof(f524,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_59 ),
inference(resolution,[],[f500,f119]) ).
fof(f11304,plain,
( spl0_260
| ~ spl0_45
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f517,f491,f292,f11302]) ).
fof(f11302,plain,
( spl0_260
<=> ! [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_260])]) ).
fof(f517,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),or(X1,X1)),or(not(X0),or(X1,X1)))),X1)) )
| ~ spl0_45
| ~ spl0_57 ),
inference(resolution,[],[f492,f293]) ).
fof(f11300,plain,
( spl0_259
| ~ spl0_30
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f468,f448,f184,f11298]) ).
fof(f11298,plain,
( spl0_259
<=> ! [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_259])]) ).
fof(f468,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_30
| ~ spl0_54 ),
inference(resolution,[],[f449,f185]) ).
fof(f11269,plain,
( spl0_258
| ~ spl0_49
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f813,f793,f387,f11267]) ).
fof(f11267,plain,
( spl0_258
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f813,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1)))))
| ~ spl0_49
| ~ spl0_75 ),
inference(resolution,[],[f794,f388]) ).
fof(f10942,plain,
( spl0_257
| ~ spl0_58
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f701,f556,f495,f10940]) ).
fof(f10940,plain,
( spl0_257
<=> ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f701,plain,
( ! [X2,X0,X1] : theorem(or(not(X0),or(X1,or(X0,X2))))
| ~ spl0_58
| ~ spl0_62 ),
inference(resolution,[],[f496,f557]) ).
fof(f9850,plain,
( spl0_256
| ~ spl0_16
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f671,f634,f94,f9848]) ).
fof(f9848,plain,
( spl0_256
<=> ! [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_256])]) ).
fof(f671,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_67 ),
inference(resolution,[],[f635,f95]) ).
fof(f9846,plain,
( spl0_255
| ~ spl0_17
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f668,f634,f104,f9844]) ).
fof(f9844,plain,
( spl0_255
<=> ! [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_255])]) ).
fof(f668,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_67 ),
inference(resolution,[],[f635,f105]) ).
fof(f9842,plain,
( spl0_254
| ~ spl0_49
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f667,f634,f387,f9840]) ).
fof(f9840,plain,
( spl0_254
<=> ! [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_254])]) ).
fof(f667,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X1,X3),not(or(not(X2),X3))))) )
| ~ spl0_49
| ~ spl0_67 ),
inference(resolution,[],[f635,f388]) ).
fof(f9838,plain,
( spl0_253
| ~ spl0_62
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f665,f634,f556,f9836]) ).
fof(f9836,plain,
( spl0_253
<=> ! [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_253])]) ).
fof(f665,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X1,or(not(or(not(X2),X3)),X3)))) )
| ~ spl0_62
| ~ spl0_67 ),
inference(resolution,[],[f635,f557]) ).
fof(f9834,plain,
( spl0_252
| ~ spl0_76
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f2072,f1824,f797,f9832]) ).
fof(f9832,plain,
( spl0_252
<=> ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f2072,plain,
( ! [X0,X1] : ~ theorem(not(or(or(not(X0),X0),X1)))
| ~ spl0_76
| ~ spl0_112 ),
inference(resolution,[],[f1825,f798]) ).
fof(f9830,plain,
( spl0_251
| ~ spl0_16
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f659,f630,f94,f9828]) ).
fof(f9828,plain,
( spl0_251
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,or(not(X1),X3))),or(X2,X3)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f659,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_66 ),
inference(resolution,[],[f631,f95]) ).
fof(f9826,plain,
( spl0_250
| ~ spl0_17
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f656,f630,f104,f9824]) ).
fof(f9824,plain,
( spl0_250
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,or(not(X1),X3))),or(X0,or(X2,X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f656,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_66 ),
inference(resolution,[],[f631,f105]) ).
fof(f9822,plain,
( spl0_249
| ~ spl0_49
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f655,f630,f387,f9820]) ).
fof(f9820,plain,
( spl0_249
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X3),not(or(X2,or(not(X1),X3)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f655,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X3),not(or(X2,or(not(X1),X3)))))) )
| ~ spl0_49
| ~ spl0_66 ),
inference(resolution,[],[f631,f388]) ).
fof(f9818,plain,
( spl0_248
| ~ spl0_62
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f653,f630,f556,f9816]) ).
fof(f9816,plain,
( spl0_248
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X2,or(not(X1),X3))),X3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f653,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X2,or(not(X1),X3))),X3)))) )
| ~ spl0_62
| ~ spl0_66 ),
inference(resolution,[],[f631,f557]) ).
fof(f9814,plain,
( spl0_247
| ~ spl0_16
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f647,f626,f94,f9812]) ).
fof(f9812,plain,
( spl0_247
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(or(not(or(X3,X1)),or(X3,X2)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f647,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_65 ),
inference(resolution,[],[f627,f95]) ).
fof(f9810,plain,
( spl0_246
| ~ spl0_17
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f644,f626,f104,f9808]) ).
fof(f9808,plain,
( spl0_246
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(not(or(X3,X1)),or(X0,or(X3,X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f644,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_65 ),
inference(resolution,[],[f627,f105]) ).
fof(f9806,plain,
( spl0_245
| ~ spl0_49
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f643,f626,f387,f9804]) ).
fof(f9804,plain,
( spl0_245
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(or(X3,X2),not(or(X3,X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f643,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(or(X3,X2),not(or(X3,X1))))) )
| ~ spl0_49
| ~ spl0_65 ),
inference(resolution,[],[f627,f388]) ).
fof(f9802,plain,
( spl0_244
| ~ spl0_62
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f641,f626,f556,f9800]) ).
fof(f9800,plain,
( spl0_244
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(not(or(X3,X1)),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f641,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(not(or(X3,X1)),X2)))) )
| ~ spl0_62
| ~ spl0_65 ),
inference(resolution,[],[f627,f557]) ).
fof(f9798,plain,
( spl0_243
| ~ spl0_41
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f622,f589,f270,f9796]) ).
fof(f9796,plain,
( spl0_243
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f270,plain,
( spl0_41
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f622,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_41
| ~ spl0_63 ),
inference(resolution,[],[f590,f271]) ).
fof(f271,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f9794,plain,
( spl0_242
| ~ spl0_28
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f613,f589,f176,f9792]) ).
fof(f9792,plain,
( spl0_242
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,X2))),X3)))
| ~ theorem(or(not(or(X1,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f613,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,X2))),X3)))
| ~ theorem(or(not(or(X1,X2)),X3)) )
| ~ spl0_28
| ~ spl0_63 ),
inference(resolution,[],[f590,f177]) ).
fof(f9790,plain,
( spl0_241
| ~ spl0_47
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f948,f885,f331,f9788]) ).
fof(f9788,plain,
( spl0_241
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f331,plain,
( spl0_47
<=> ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f885,plain,
( spl0_84
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f948,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X0)) )
| ~ spl0_47
| ~ spl0_84 ),
inference(resolution,[],[f886,f332]) ).
fof(f332,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f886,plain,
( ! [X0,X1] :
( ~ theorem(not(not(or(X0,X0))))
| theorem(or(X0,X1)) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f9786,plain,
( spl0_240
| ~ spl0_29
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f612,f589,f180,f9784]) ).
fof(f9784,plain,
( spl0_240
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f612,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_29
| ~ spl0_63 ),
inference(resolution,[],[f590,f181]) ).
fof(f9782,plain,
( spl0_239
| ~ spl0_10
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f603,f589,f63,f9780]) ).
fof(f9780,plain,
( spl0_239
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f603,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_63 ),
inference(resolution,[],[f590,f64]) ).
fof(f9778,plain,
( spl0_238
| ~ spl0_12
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f599,f589,f74,f9776]) ).
fof(f9776,plain,
( spl0_238
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
| ~ theorem(or(not(or(X0,X2)),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f74,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(f599,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_63 ),
inference(resolution,[],[f590,f75]) ).
fof(f75,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f9774,plain,
( spl0_237
| ~ spl0_44
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f587,f556,f288,f9772]) ).
fof(f9772,plain,
( spl0_237
<=> ! [X4,X0,X3,X2,X1] :
( theorem(or(or(X0,X1),or(X2,or(X3,X4))))
| ~ theorem(or(or(X3,or(X2,X4)),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f587,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_44
| ~ spl0_62 ),
inference(resolution,[],[f557,f289]) ).
fof(f9770,plain,
( spl0_236
| ~ spl0_31
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f577,f556,f213,f9768]) ).
fof(f9768,plain,
( spl0_236
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,X2)),X3))))
| ~ theorem(or(not(X2),or(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f577,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,X2)),X3))))
| ~ theorem(or(not(X2),or(X1,X3))) )
| ~ spl0_31
| ~ spl0_62 ),
inference(resolution,[],[f557,f214]) ).
fof(f9766,plain,
( spl0_235
| ~ spl0_54
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f575,f556,f448,f9764]) ).
fof(f9764,plain,
( spl0_235
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(not(or(or(X1,X2),not(X3))),X2))))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f575,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(or(X1,X2),not(X3))),X2))))
| ~ theorem(or(X0,X3)) )
| ~ spl0_54
| ~ spl0_62 ),
inference(resolution,[],[f557,f449]) ).
fof(f9762,plain,
( spl0_234
| ~ spl0_56
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f569,f556,f456,f9760]) ).
fof(f9760,plain,
( spl0_234
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(not(X0),or(X1,X2))),or(X1,or(X3,X2))))
| ~ theorem(or(X3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f569,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),or(X1,X2))),or(X1,or(X3,X2))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_56
| ~ spl0_62 ),
inference(resolution,[],[f557,f457]) ).
fof(f9758,plain,
( spl0_233
| ~ spl0_42
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f567,f556,f280,f9756]) ).
fof(f9756,plain,
( spl0_233
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(or(X0,or(X1,X2)),not(X3))),or(X1,or(X0,X2))))
| ~ theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f567,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(or(X0,or(X1,X2)),not(X3))),or(X1,or(X0,X2))))
| ~ theorem(X3) )
| ~ spl0_42
| ~ spl0_62 ),
inference(resolution,[],[f557,f281]) ).
fof(f9754,plain,
( spl0_232
| ~ spl0_53
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f564,f556,f444,f9752]) ).
fof(f9752,plain,
( spl0_232
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,or(not(X1),or(X2,X3)))),or(X2,or(X0,X3))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f564,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),or(X2,X3)))),or(X2,or(X0,X3))))
| ~ theorem(X1) )
| ~ spl0_53
| ~ spl0_62 ),
inference(resolution,[],[f557,f445]) ).
fof(f9750,plain,
( spl0_231
| ~ spl0_19
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f563,f556,f118,f9748]) ).
fof(f9748,plain,
( spl0_231
<=> ! [X0,X3,X2,X1] :
( theorem(or(not(or(X0,X1)),or(X2,or(X0,X3))))
| ~ theorem(or(not(X1),or(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f563,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_62 ),
inference(resolution,[],[f557,f119]) ).
fof(f9745,plain,
( spl0_230
| ~ spl0_48
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f553,f507,f335,f9743]) ).
fof(f9743,plain,
( spl0_230
<=> ! [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_230])]) ).
fof(f507,plain,
( spl0_61
<=> ! [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_61])]) ).
fof(f553,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),X3))
| ~ theorem(not(not(or(X2,X0)))) )
| ~ spl0_48
| ~ spl0_61 ),
inference(resolution,[],[f508,f336]) ).
fof(f508,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0))))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f9741,plain,
( spl0_229
| ~ spl0_48
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f548,f503,f335,f9739]) ).
fof(f9739,plain,
( spl0_229
<=> ! [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_229])]) ).
fof(f548,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_48
| ~ spl0_60 ),
inference(resolution,[],[f504,f336]) ).
fof(f9737,plain,
( spl0_228
| ~ spl0_30
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f545,f503,f184,f9735]) ).
fof(f9735,plain,
( spl0_228
<=> ! [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_228])]) ).
fof(f545,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(X3,or(not(X2),X0))) )
| ~ spl0_30
| ~ spl0_60 ),
inference(resolution,[],[f504,f185]) ).
fof(f9733,plain,
( spl0_227
| ~ spl0_12
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f523,f499,f74,f9731]) ).
fof(f9731,plain,
( spl0_227
<=> ! [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_227])]) ).
fof(f523,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_59 ),
inference(resolution,[],[f500,f75]) ).
fof(f9729,plain,
( spl0_226
| ~ spl0_48
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f513,f491,f335,f9727]) ).
fof(f9727,plain,
( spl0_226
<=> ! [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_226])]) ).
fof(f513,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X2))
| ~ theorem(not(X1)) )
| ~ spl0_48
| ~ spl0_57 ),
inference(resolution,[],[f492,f336]) ).
fof(f9725,plain,
( spl0_225
| ~ spl0_30
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f511,f491,f184,f9723]) ).
fof(f9723,plain,
( spl0_225
<=> ! [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_225])]) ).
fof(f511,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(or(not(X0),X2),or(not(X0),X2)))) )
| ~ spl0_30
| ~ spl0_57 ),
inference(resolution,[],[f492,f185]) ).
fof(f9721,plain,
( spl0_224
| ~ spl0_17
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f480,f452,f104,f9719]) ).
fof(f9719,plain,
( spl0_224
<=> ! [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_224])]) ).
fof(f480,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_55 ),
inference(resolution,[],[f453,f105]) ).
fof(f9717,plain,
( spl0_223
| ~ spl0_49
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f479,f452,f387,f9715]) ).
fof(f9715,plain,
( spl0_223
<=> ! [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_223])]) ).
fof(f479,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(or(X2,X3),X0)),X1),or(X3,X2))) )
| ~ spl0_49
| ~ spl0_55 ),
inference(resolution,[],[f453,f388]) ).
fof(f9713,plain,
( spl0_222
| ~ spl0_15
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f472,f448,f88,f9711]) ).
fof(f472,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(or(X0,not(X1))),X0),X1))
| theorem(or(not(or(X0,not(X1))),X0)) )
| ~ spl0_15
| ~ spl0_54 ),
inference(resolution,[],[f449,f89]) ).
fof(f9709,plain,
( spl0_221
| ~ spl0_30
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f437,f420,f184,f9707]) ).
fof(f9707,plain,
( spl0_221
<=> ! [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_221])]) ).
fof(f437,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_30
| ~ spl0_52 ),
inference(resolution,[],[f421,f185]) ).
fof(f9697,plain,
( spl0_220
| ~ spl0_33
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f382,f335,f226,f9695]) ).
fof(f9695,plain,
( spl0_220
<=> ! [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_220])]) ).
fof(f226,plain,
( spl0_33
<=> ! [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_33])]) ).
fof(f382,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,X1)),or(X0,X2)),X3))
| ~ theorem(not(not(or(not(X1),X2)))) )
| ~ spl0_33
| ~ spl0_48 ),
inference(resolution,[],[f336,f227]) ).
fof(f227,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2))))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f9693,plain,
( spl0_219
| ~ spl0_14
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f366,f335,f83,f9691]) ).
fof(f9691,plain,
( spl0_219
<=> ! [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_219])]) ).
fof(f366,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_48 ),
inference(resolution,[],[f336,f84]) ).
fof(f9689,plain,
( spl0_218
| ~ spl0_34
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f365,f335,f230,f9687]) ).
fof(f9687,plain,
( spl0_218
<=> ! [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_218])]) ).
fof(f365,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(not(or(not(X1),X3)),or(X0,X3)))) )
| ~ spl0_34
| ~ spl0_48 ),
inference(resolution,[],[f336,f231]) ).
fof(f9039,plain,
( spl0_217
| ~ spl0_45
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f552,f503,f292,f9037]) ).
fof(f9037,plain,
( spl0_217
<=> ! [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_217])]) ).
fof(f552,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X1)))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X1)) )
| ~ spl0_45
| ~ spl0_60 ),
inference(resolution,[],[f504,f293]) ).
fof(f9035,plain,
( spl0_216
| ~ spl0_15
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f547,f503,f88,f9033]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(X1)
| theorem(not(or(not(X1),X0))) )
| ~ spl0_15
| ~ spl0_60 ),
inference(resolution,[],[f504,f89]) ).
fof(f9008,plain,
( spl0_215
| ~ spl0_26
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f542,f499,f164,f9006]) ).
fof(f9006,plain,
( spl0_215
<=> ! [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_215])]) ).
fof(f542,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X4))))
| ~ theorem(or(not(X1),X4)) )
| ~ spl0_26
| ~ spl0_59 ),
inference(resolution,[],[f500,f165]) ).
fof(f7940,plain,
( spl0_214
| ~ spl0_112
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f7760,f4734,f1824,f7938]) ).
fof(f7938,plain,
( spl0_214
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(not(not(not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f4734,plain,
( spl0_171
<=> ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f7760,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(not(not(not(X0)))) )
| ~ spl0_112
| ~ spl0_171 ),
inference(resolution,[],[f4735,f1825]) ).
fof(f4735,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f4734]) ).
fof(f5969,plain,
( ~ spl0_7
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5856]) ).
fof(f5856,plain,
( $false
| ~ spl0_7
| ~ spl0_97 ),
inference(resolution,[],[f1018,f50]) ).
fof(f1018,plain,
( ! [X0] : ~ theorem(X0)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1017,plain,
( spl0_97
<=> ! [X0] : ~ theorem(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f5968,plain,
( ~ spl0_58
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5857]) ).
fof(f5857,plain,
( $false
| ~ spl0_58
| ~ spl0_97 ),
inference(resolution,[],[f1018,f496]) ).
fof(f5967,plain,
( ~ spl0_24
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5858]) ).
fof(f5858,plain,
( $false
| ~ spl0_24
| ~ spl0_97 ),
inference(resolution,[],[f1018,f153]) ).
fof(f5966,plain,
( ~ spl0_10
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5859]) ).
fof(f5859,plain,
( $false
| ~ spl0_10
| ~ spl0_97 ),
inference(resolution,[],[f1018,f64]) ).
fof(f5965,plain,
( ~ spl0_97
| ~ spl0_115 ),
inference(avatar_contradiction_clause,[],[f5860]) ).
fof(f5860,plain,
( $false
| ~ spl0_97
| ~ spl0_115 ),
inference(resolution,[],[f1018,f2018]) ).
fof(f5964,plain,
( ~ spl0_97
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f5861]) ).
fof(f5861,plain,
( $false
| ~ spl0_97
| ~ spl0_98 ),
inference(resolution,[],[f1018,f1643]) ).
fof(f5963,plain,
( ~ spl0_97
| ~ spl0_169 ),
inference(avatar_contradiction_clause,[],[f5862]) ).
fof(f5862,plain,
( $false
| ~ spl0_97
| ~ spl0_169 ),
inference(resolution,[],[f1018,f4727]) ).
fof(f4727,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2))))
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f4726]) ).
fof(f4726,plain,
( spl0_169
<=> ! [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_169])]) ).
fof(f5962,plain,
( ~ spl0_11
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5863]) ).
fof(f5863,plain,
( $false
| ~ spl0_11
| ~ spl0_97 ),
inference(resolution,[],[f1018,f70]) ).
fof(f5961,plain,
( ~ spl0_12
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5864]) ).
fof(f5864,plain,
( $false
| ~ spl0_12
| ~ spl0_97 ),
inference(resolution,[],[f1018,f75]) ).
fof(f5960,plain,
( ~ spl0_97
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f5865]) ).
fof(f5865,plain,
( $false
| ~ spl0_97
| ~ spl0_120 ),
inference(resolution,[],[f1018,f2038]) ).
fof(f2038,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2037,plain,
( spl0_120
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f5959,plain,
( ~ spl0_97
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f5866]) ).
fof(f5866,plain,
( $false
| ~ spl0_97
| ~ spl0_160 ),
inference(resolution,[],[f1018,f4690]) ).
fof(f4690,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2)))))
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f4689]) ).
fof(f4689,plain,
( spl0_160
<=> ! [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_160])]) ).
fof(f5958,plain,
( ~ spl0_34
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5867]) ).
fof(f5867,plain,
( $false
| ~ spl0_34
| ~ spl0_97 ),
inference(resolution,[],[f1018,f231]) ).
fof(f5957,plain,
( ~ spl0_97
| ~ spl0_170 ),
inference(avatar_contradiction_clause,[],[f5868]) ).
fof(f5868,plain,
( $false
| ~ spl0_97
| ~ spl0_170 ),
inference(resolution,[],[f1018,f4731]) ).
fof(f4731,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1))))
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f4730]) ).
fof(f4730,plain,
( spl0_170
<=> ! [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_170])]) ).
fof(f5956,plain,
( ~ spl0_97
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f5869]) ).
fof(f5869,plain,
( $false
| ~ spl0_97
| ~ spl0_161 ),
inference(resolution,[],[f1018,f4695]) ).
fof(f4695,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0)))))
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f4694]) ).
fof(f4694,plain,
( spl0_161
<=> ! [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_161])]) ).
fof(f5955,plain,
( ~ spl0_14
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5870]) ).
fof(f5870,plain,
( $false
| ~ spl0_14
| ~ spl0_97 ),
inference(resolution,[],[f1018,f84]) ).
fof(f5954,plain,
( ~ spl0_97
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f5871]) ).
fof(f5871,plain,
( $false
| ~ spl0_97
| ~ spl0_121 ),
inference(resolution,[],[f1018,f2042]) ).
fof(f2042,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f2041]) ).
fof(f2041,plain,
( spl0_121
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f5953,plain,
( ~ spl0_91
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5872]) ).
fof(f5872,plain,
( $false
| ~ spl0_91
| ~ spl0_97 ),
inference(resolution,[],[f1018,f990]) ).
fof(f5952,plain,
( ~ spl0_97
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f5873]) ).
fof(f5873,plain,
( $false
| ~ spl0_97
| ~ spl0_127 ),
inference(resolution,[],[f1018,f2097]) ).
fof(f2097,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f2096]) ).
fof(f2096,plain,
( spl0_127
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f5951,plain,
( ~ spl0_22
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5874]) ).
fof(f5874,plain,
( $false
| ~ spl0_22
| ~ spl0_97 ),
inference(resolution,[],[f1018,f138]) ).
fof(f5950,plain,
( ~ spl0_25
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5875]) ).
fof(f5875,plain,
( $false
| ~ spl0_25
| ~ spl0_97 ),
inference(resolution,[],[f1018,f157]) ).
fof(f5949,plain,
( ~ spl0_29
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5876]) ).
fof(f5876,plain,
( $false
| ~ spl0_29
| ~ spl0_97 ),
inference(resolution,[],[f1018,f181]) ).
fof(f5948,plain,
( ~ spl0_75
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5877]) ).
fof(f5877,plain,
( $false
| ~ spl0_75
| ~ spl0_97 ),
inference(resolution,[],[f1018,f794]) ).
fof(f5947,plain,
( ~ spl0_74
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5878]) ).
fof(f5878,plain,
( $false
| ~ spl0_74
| ~ spl0_97 ),
inference(resolution,[],[f1018,f790]) ).
fof(f5946,plain,
( ~ spl0_28
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5879]) ).
fof(f5879,plain,
( $false
| ~ spl0_28
| ~ spl0_97 ),
inference(resolution,[],[f1018,f177]) ).
fof(f5945,plain,
( ~ spl0_97
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f5880]) ).
fof(f5880,plain,
( $false
| ~ spl0_97
| ~ spl0_99 ),
inference(resolution,[],[f1018,f1647]) ).
fof(f5944,plain,
( ~ spl0_97
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f5881]) ).
fof(f5881,plain,
( $false
| ~ spl0_97
| ~ spl0_128 ),
inference(resolution,[],[f1018,f2101]) ).
fof(f2101,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2100,plain,
( spl0_128
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f5943,plain,
( ~ spl0_97
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f5882]) ).
fof(f5882,plain,
( $false
| ~ spl0_97
| ~ spl0_129 ),
inference(resolution,[],[f1018,f2105]) ).
fof(f2105,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f2104]) ).
fof(f2104,plain,
( spl0_129
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f5942,plain,
( ~ spl0_64
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5883]) ).
fof(f5883,plain,
( $false
| ~ spl0_64
| ~ spl0_97 ),
inference(resolution,[],[f1018,f594]) ).
fof(f5941,plain,
( ~ spl0_78
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5884]) ).
fof(f5884,plain,
( $false
| ~ spl0_78
| ~ spl0_97 ),
inference(resolution,[],[f1018,f806]) ).
fof(f5940,plain,
( ~ spl0_97
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f5885]) ).
fof(f5885,plain,
( $false
| ~ spl0_97
| ~ spl0_122 ),
inference(resolution,[],[f1018,f2046]) ).
fof(f2046,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f2045,plain,
( spl0_122
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f5939,plain,
( ~ spl0_90
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5886]) ).
fof(f5886,plain,
( $false
| ~ spl0_90
| ~ spl0_97 ),
inference(resolution,[],[f1018,f930]) ).
fof(f5938,plain,
( ~ spl0_76
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5887]) ).
fof(f5887,plain,
( $false
| ~ spl0_76
| ~ spl0_97 ),
inference(resolution,[],[f1018,f798]) ).
fof(f5937,plain,
( ~ spl0_97
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f5888]) ).
fof(f5888,plain,
( $false
| ~ spl0_97
| ~ spl0_113 ),
inference(resolution,[],[f1018,f2010]) ).
fof(f2010,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f2009,plain,
( spl0_113
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f5936,plain,
( ~ spl0_97
| ~ spl0_199 ),
inference(avatar_contradiction_clause,[],[f5889]) ).
fof(f5889,plain,
( $false
| ~ spl0_97
| ~ spl0_199 ),
inference(resolution,[],[f1018,f5798]) ).
fof(f5798,plain,
( ! [X2,X3,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(or(X0,X2),X3))),or(X1,X3)),X2)))
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f5797]) ).
fof(f5797,plain,
( spl0_199
<=> ! [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_199])]) ).
fof(f5935,plain,
( ~ spl0_97
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f5890]) ).
fof(f5890,plain,
( $false
| ~ spl0_97
| ~ spl0_123 ),
inference(resolution,[],[f1018,f2081]) ).
fof(f2081,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2080,plain,
( spl0_123
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f5934,plain,
( ~ spl0_21
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5891]) ).
fof(f5891,plain,
( $false
| ~ spl0_21
| ~ spl0_97 ),
inference(resolution,[],[f1018,f134]) ).
fof(f5933,plain,
( ~ spl0_35
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5892]) ).
fof(f5892,plain,
( $false
| ~ spl0_35
| ~ spl0_97 ),
inference(resolution,[],[f1018,f236]) ).
fof(f5932,plain,
( ~ spl0_51
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5893]) ).
fof(f5893,plain,
( $false
| ~ spl0_51
| ~ spl0_97 ),
inference(resolution,[],[f1018,f417]) ).
fof(f5931,plain,
( ~ spl0_97
| ~ spl0_200 ),
inference(avatar_contradiction_clause,[],[f5894]) ).
fof(f5894,plain,
( $false
| ~ spl0_97
| ~ spl0_200 ),
inference(resolution,[],[f1018,f5802]) ).
fof(f5802,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(or(X0,X0),X1),or(or(X0,X0),X1))),X1),X0))
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f5801]) ).
fof(f5801,plain,
( spl0_200
<=> ! [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_200])]) ).
fof(f5930,plain,
( ~ spl0_97
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f5895]) ).
fof(f5895,plain,
( $false
| ~ spl0_97
| ~ spl0_137 ),
inference(resolution,[],[f1018,f2563]) ).
fof(f2563,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X1),X0))
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f2562]) ).
fof(f2562,plain,
( spl0_137
<=> ! [X0,X1] : theorem(or(or(not(X0),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f5929,plain,
( ~ spl0_38
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5896]) ).
fof(f5896,plain,
( $false
| ~ spl0_38
| ~ spl0_97 ),
inference(resolution,[],[f1018,f251]) ).
fof(f251,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl0_38
<=> ! [X0,X1] : theorem(or(or(not(X0),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f5928,plain,
( ~ spl0_41
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5897]) ).
fof(f5897,plain,
( $false
| ~ spl0_41
| ~ spl0_97 ),
inference(resolution,[],[f1018,f271]) ).
fof(f5927,plain,
( ~ spl0_92
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5898]) ).
fof(f5898,plain,
( $false
| ~ spl0_92
| ~ spl0_97 ),
inference(resolution,[],[f1018,f994]) ).
fof(f5926,plain,
( ~ spl0_50
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5899]) ).
fof(f5899,plain,
( $false
| ~ spl0_50
| ~ spl0_97 ),
inference(resolution,[],[f1018,f413]) ).
fof(f5925,plain,
( ~ spl0_97
| ~ spl0_162 ),
inference(avatar_contradiction_clause,[],[f5900]) ).
fof(f5900,plain,
( $false
| ~ spl0_97
| ~ spl0_162 ),
inference(resolution,[],[f1018,f4699]) ).
fof(f4699,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1))
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f4698]) ).
fof(f4698,plain,
( spl0_162
<=> ! [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_162])]) ).
fof(f5924,plain,
( ~ spl0_95
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5901]) ).
fof(f5901,plain,
( $false
| ~ spl0_95
| ~ spl0_97 ),
inference(resolution,[],[f1018,f1006]) ).
fof(f1006,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1005,plain,
( spl0_95
<=> ! [X0,X1] : theorem(or(or(X0,not(X0)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f5923,plain,
( ~ spl0_97
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f5902]) ).
fof(f5902,plain,
( $false
| ~ spl0_97
| ~ spl0_148 ),
inference(resolution,[],[f1018,f2607]) ).
fof(f2607,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f2606]) ).
fof(f2606,plain,
( spl0_148
<=> ! [X0,X1] : theorem(or(or(X0,not(X1)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f5922,plain,
( ~ spl0_97
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f5903]) ).
fof(f5903,plain,
( $false
| ~ spl0_97
| ~ spl0_124 ),
inference(resolution,[],[f1018,f2085]) ).
fof(f2085,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f2084,plain,
( spl0_124
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f5921,plain,
( ~ spl0_97
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f5904]) ).
fof(f5904,plain,
( $false
| ~ spl0_97
| ~ spl0_198 ),
inference(resolution,[],[f1018,f5794]) ).
fof(f5794,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X2),X3))),or(X0,X3)),or(X2,X1)))
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f5793]) ).
fof(f5793,plain,
( spl0_198
<=> ! [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_198])]) ).
fof(f5920,plain,
( ~ spl0_97
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f5905]) ).
fof(f5905,plain,
( $false
| ~ spl0_97
| ~ spl0_209 ),
inference(resolution,[],[f1018,f5838]) ).
fof(f5838,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(X1,or(X2,X3)))),X0),or(X2,or(X1,X3))))
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f5837]) ).
fof(f5837,plain,
( spl0_209
<=> ! [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_209])]) ).
fof(f5919,plain,
( ~ spl0_97
| ~ spl0_210 ),
inference(avatar_contradiction_clause,[],[f5906]) ).
fof(f5906,plain,
( $false
| ~ spl0_97
| ~ spl0_210 ),
inference(resolution,[],[f1018,f5842]) ).
fof(f5842,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X1,X0)))
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f5841]) ).
fof(f5841,plain,
( spl0_210
<=> ! [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_210])]) ).
fof(f5918,plain,
( ~ spl0_20
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5907]) ).
fof(f5907,plain,
( $false
| ~ spl0_20
| ~ spl0_97 ),
inference(resolution,[],[f1018,f130]) ).
fof(f5917,plain,
( ~ spl0_23
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5908]) ).
fof(f5908,plain,
( $false
| ~ spl0_23
| ~ spl0_97 ),
inference(resolution,[],[f1018,f149]) ).
fof(f5916,plain,
( ~ spl0_81
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5909]) ).
fof(f5909,plain,
( $false
| ~ spl0_81
| ~ spl0_97 ),
inference(resolution,[],[f1018,f874]) ).
fof(f874,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f873,plain,
( spl0_81
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f5915,plain,
( ~ spl0_27
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5910]) ).
fof(f5910,plain,
( $false
| ~ spl0_27
| ~ spl0_97 ),
inference(resolution,[],[f1018,f173]) ).
fof(f173,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl0_27
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f5914,plain,
( ~ spl0_33
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5911]) ).
fof(f5911,plain,
( $false
| ~ spl0_33
| ~ spl0_97 ),
inference(resolution,[],[f1018,f227]) ).
fof(f5913,plain,
( ~ spl0_61
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5912]) ).
fof(f5912,plain,
( $false
| ~ spl0_61
| ~ spl0_97 ),
inference(resolution,[],[f1018,f508]) ).
fof(f5855,plain,
( spl0_213
| ~ spl0_29
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f576,f556,f180,f5853]) ).
fof(f5853,plain,
( spl0_213
<=> ! [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_213])]) ).
fof(f576,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X0,or(X1,X2)),or(X0,or(X1,X2)))),X2))))
| ~ spl0_29
| ~ spl0_62 ),
inference(resolution,[],[f557,f181]) ).
fof(f5851,plain,
( spl0_212
| ~ spl0_10
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f566,f556,f63,f5849]) ).
fof(f5849,plain,
( spl0_212
<=> ! [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_212])]) ).
fof(f566,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_62 ),
inference(resolution,[],[f557,f64]) ).
fof(f5847,plain,
( spl0_211
| ~ spl0_17
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f433,f416,f104,f5845]) ).
fof(f5845,plain,
( spl0_211
<=> ! [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_211])]) ).
fof(f433,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_51 ),
inference(resolution,[],[f417,f105]) ).
fof(f5843,plain,
( spl0_210
| ~ spl0_49
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f432,f416,f387,f5841]) ).
fof(f432,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X1,X0)))
| ~ spl0_49
| ~ spl0_51 ),
inference(resolution,[],[f417,f388]) ).
fof(f5839,plain,
( spl0_209
| ~ spl0_41
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f585,f556,f270,f5837]) ).
fof(f585,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(X1,or(X2,X3)))),X0),or(X2,or(X1,X3))))
| ~ spl0_41
| ~ spl0_62 ),
inference(resolution,[],[f557,f271]) ).
fof(f5835,plain,
( spl0_97
| spl0_208
| ~ spl0_87
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f4490,f2618,f896,f5833,f1017]) ).
fof(f5833,plain,
( spl0_208
<=> ! [X0] :
( theorem(X0)
| ~ theorem(not(not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f4490,plain,
( ! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(not(not(X0))) )
| ~ spl0_87
| ~ spl0_151 ),
inference(resolution,[],[f2619,f897]) ).
fof(f5831,plain,
( spl0_207
| ~ spl0_48
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f488,f456,f335,f5829]) ).
fof(f5829,plain,
( spl0_207
<=> ! [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_207])]) ).
fof(f488,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(not(or(X0,X2))) )
| ~ spl0_48
| ~ spl0_56 ),
inference(resolution,[],[f457,f336]) ).
fof(f5827,plain,
( spl0_206
| ~ spl0_30
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f483,f456,f184,f5825]) ).
fof(f5825,plain,
( spl0_206
<=> ! [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_206])]) ).
fof(f483,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X2,or(not(X1),X3))) )
| ~ spl0_30
| ~ spl0_56 ),
inference(resolution,[],[f457,f185]) ).
fof(f5823,plain,
( spl0_205
| ~ spl0_48
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f477,f452,f335,f5821]) ).
fof(f5821,plain,
( spl0_205
<=> ! [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_205])]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X3))
| ~ theorem(not(X2)) )
| ~ spl0_48
| ~ spl0_55 ),
inference(resolution,[],[f453,f336]) ).
fof(f5819,plain,
( spl0_204
| ~ spl0_48
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f473,f448,f335,f5817]) ).
fof(f5817,plain,
( spl0_204
<=> ! [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_204])]) ).
fof(f473,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(not(or(X3,not(X1))),X3))) )
| ~ spl0_48
| ~ spl0_54 ),
inference(resolution,[],[f449,f336]) ).
fof(f5815,plain,
( spl0_203
| ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f467,f448,f327,f5813]) ).
fof(f5813,plain,
( spl0_203
<=> ! [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_203])]) ).
fof(f467,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(X0) )
| ~ spl0_46
| ~ spl0_54 ),
inference(resolution,[],[f449,f328]) ).
fof(f5811,plain,
( spl0_202
| ~ spl0_48
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f465,f444,f335,f5809]) ).
fof(f5809,plain,
( spl0_202
<=> ! [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_202])]) ).
fof(f465,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),X3))
| ~ theorem(not(or(X1,X2))) )
| ~ spl0_48
| ~ spl0_53 ),
inference(resolution,[],[f445,f336]) ).
fof(f5807,plain,
( spl0_201
| ~ spl0_30
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f460,f444,f184,f5805]) ).
fof(f5805,plain,
( spl0_201
<=> ! [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_201])]) ).
fof(f460,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X2,or(not(X0),X3)))) )
| ~ spl0_30
| ~ spl0_53 ),
inference(resolution,[],[f445,f185]) ).
fof(f5803,plain,
( spl0_200
| ~ spl0_45
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f434,f416,f292,f5801]) ).
fof(f434,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(or(X0,X0),X1),or(or(X0,X0),X1))),X1),X0))
| ~ spl0_45
| ~ spl0_51 ),
inference(resolution,[],[f417,f293]) ).
fof(f5799,plain,
( spl0_199
| ~ spl0_17
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f427,f412,f104,f5797]) ).
fof(f427,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_50 ),
inference(resolution,[],[f413,f105]) ).
fof(f5795,plain,
( spl0_198
| ~ spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f426,f412,f387,f5793]) ).
fof(f426,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X2),X3))),or(X0,X3)),or(X2,X1)))
| ~ spl0_49
| ~ spl0_50 ),
inference(resolution,[],[f413,f388]) ).
fof(f5791,plain,
( spl0_197
| ~ spl0_43
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f949,f896,f284,f5789]) ).
fof(f5789,plain,
( spl0_197
<=> ! [X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f949,plain,
( ! [X0,X1] :
( ~ theorem(not(not(X0)))
| theorem(or(X1,X0)) )
| ~ spl0_43
| ~ spl0_87 ),
inference(resolution,[],[f897,f285]) ).
fof(f5787,plain,
( spl0_196
| ~ spl0_32
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f380,f335,f217,f5785]) ).
fof(f5785,plain,
( spl0_196
<=> ! [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_196])]) ).
fof(f217,plain,
( spl0_32
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f380,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X0,X3))))
| ~ theorem(or(not(X3),X1)) )
| ~ spl0_32
| ~ spl0_48 ),
inference(resolution,[],[f336,f218]) ).
fof(f218,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),not(or(X2,X0))))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f5783,plain,
( spl0_195
| ~ spl0_31
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f375,f335,f213,f5781]) ).
fof(f5781,plain,
( spl0_195
<=> ! [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_195])]) ).
fof(f375,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X0,X2)),X3)))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_31
| ~ spl0_48 ),
inference(resolution,[],[f336,f214]) ).
fof(f5779,plain,
( spl0_194
| ~ spl0_19
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f364,f335,f118,f5777]) ).
fof(f5777,plain,
( spl0_194
<=> ! [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_194])]) ).
fof(f364,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_48 ),
inference(resolution,[],[f336,f119]) ).
fof(f5775,plain,
( spl0_193
| ~ spl0_31
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f355,f327,f213,f5773]) ).
fof(f5773,plain,
( spl0_193
<=> ! [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_193])]) ).
fof(f355,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X3)))
| ~ theorem(X1)
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_31
| ~ spl0_46 ),
inference(resolution,[],[f328,f214]) ).
fof(f5771,plain,
( spl0_192
| ~ spl0_29
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f353,f327,f180,f5769]) ).
fof(f5769,plain,
( spl0_192
<=> ! [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_192])]) ).
fof(f353,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(X1) )
| ~ spl0_29
| ~ spl0_46 ),
inference(resolution,[],[f328,f181]) ).
fof(f5586,plain,
( spl0_191
| ~ spl0_15
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f939,f881,f88,f5584]) ).
fof(f5584,plain,
( spl0_191
<=> ! [X0] :
( ~ theorem(not(X0))
| theorem(not(or(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f939,plain,
( ! [X0] :
( ~ theorem(not(X0))
| theorem(not(or(X0,X0))) )
| ~ spl0_15
| ~ spl0_83 ),
inference(resolution,[],[f882,f89]) ).
fof(f5329,plain,
( spl0_190
| ~ spl0_40
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f932,f877,f266,f5327]) ).
fof(f5327,plain,
( spl0_190
<=> ! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f266,plain,
( spl0_40
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f877,plain,
( spl0_82
<=> ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f932,plain,
( ! [X0,X1] :
( theorem(or(not(not(X0)),X1))
| ~ theorem(X0) )
| ~ spl0_40
| ~ spl0_82 ),
inference(resolution,[],[f878,f267]) ).
fof(f267,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f878,plain,
( ! [X2,X0,X1] :
( ~ theorem(not(or(X2,X0)))
| theorem(or(not(X0),X1)) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f5300,plain,
( spl0_189
| ~ spl0_46
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f544,f503,f327,f5298]) ).
fof(f5298,plain,
( spl0_189
<=> ! [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_189])]) ).
fof(f544,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_46
| ~ spl0_60 ),
inference(resolution,[],[f504,f328]) ).
fof(f5296,plain,
( spl0_188
| ~ spl0_25
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f536,f499,f156,f5294]) ).
fof(f5294,plain,
( spl0_188
<=> ! [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_188])]) ).
fof(f536,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,not(X1))),X3)))) )
| ~ spl0_25
| ~ spl0_59 ),
inference(resolution,[],[f500,f157]) ).
fof(f5292,plain,
( spl0_187
| ~ spl0_46
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f510,f491,f327,f5290]) ).
fof(f510,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(not(X0),X2),or(not(X0),X2))) )
| ~ spl0_46
| ~ spl0_57 ),
inference(resolution,[],[f492,f328]) ).
fof(f5288,plain,
( spl0_186
| ~ spl0_45
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f481,f452,f292,f5286]) ).
fof(f5286,plain,
( spl0_186
<=> ! [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_186])]) ).
fof(f481,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(or(X2,X2),X0)),X1),X2)) )
| ~ spl0_45
| ~ spl0_55 ),
inference(resolution,[],[f453,f293]) ).
fof(f5284,plain,
( spl0_185
| ~ spl0_48
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f440,f420,f335,f5282]) ).
fof(f5282,plain,
( spl0_185
<=> ! [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_185])]) ).
fof(f440,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(not(or(not(X1),not(X1))))) )
| ~ spl0_48
| ~ spl0_52 ),
inference(resolution,[],[f421,f336]) ).
fof(f5280,plain,
( spl0_184
| ~ spl0_15
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f439,f420,f88,f5278]) ).
fof(f5278,plain,
( spl0_184
<=> ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f439,plain,
( ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) )
| ~ spl0_15
| ~ spl0_52 ),
inference(resolution,[],[f421,f89]) ).
fof(f5276,plain,
( spl0_183
| ~ spl0_46
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f436,f420,f327,f5274]) ).
fof(f5274,plain,
( spl0_183
<=> ! [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_183])]) ).
fof(f436,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(X0) )
| ~ spl0_46
| ~ spl0_52 ),
inference(resolution,[],[f421,f328]) ).
fof(f5272,plain,
( spl0_182
| ~ spl0_48
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f430,f416,f335,f5270]) ).
fof(f5270,plain,
( spl0_182
<=> ! [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_182])]) ).
fof(f430,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X2))
| ~ theorem(not(X0)) )
| ~ spl0_48
| ~ spl0_51 ),
inference(resolution,[],[f417,f336]) ).
fof(f5268,plain,
( spl0_181
| ~ spl0_48
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f424,f412,f335,f5266]) ).
fof(f5266,plain,
( spl0_181
<=> ! [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_181])]) ).
fof(f424,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_48
| ~ spl0_50 ),
inference(resolution,[],[f413,f336]) ).
fof(f5264,plain,
( spl0_180
| ~ spl0_16
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f786,f741,f94,f5262]) ).
fof(f5262,plain,
( spl0_180
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f786,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X0),X2)) )
| ~ spl0_16
| ~ spl0_73 ),
inference(resolution,[],[f742,f95]) ).
fof(f5260,plain,
( spl0_179
| ~ spl0_27
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f381,f335,f172,f5258]) ).
fof(f5258,plain,
( spl0_179
<=> ! [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_179])]) ).
fof(f381,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(not(not(or(X1,or(X0,X2))))) )
| ~ spl0_27
| ~ spl0_48 ),
inference(resolution,[],[f336,f173]) ).
fof(f5256,plain,
( spl0_178
| ~ spl0_28
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f374,f335,f176,f5254]) ).
fof(f5254,plain,
( spl0_178
<=> ! [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_178])]) ).
fof(f374,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,or(X0,X3))),or(X2,X3)))) )
| ~ spl0_28
| ~ spl0_48 ),
inference(resolution,[],[f336,f177]) ).
fof(f5252,plain,
( spl0_177
| ~ spl0_29
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f373,f335,f180,f5250]) ).
fof(f5250,plain,
( spl0_177
<=> ! [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_177])]) ).
fof(f373,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(or(X0,X2),or(X0,X2))),X2))) )
| ~ spl0_29
| ~ spl0_48 ),
inference(resolution,[],[f336,f181]) ).
fof(f5248,plain,
( spl0_176
| ~ spl0_12
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f363,f335,f74,f5246]) ).
fof(f5246,plain,
( spl0_176
<=> ! [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_176])]) ).
fof(f363,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),X3))
| ~ theorem(not(or(X1,or(X0,X2)))) )
| ~ spl0_12
| ~ spl0_48 ),
inference(resolution,[],[f336,f75]) ).
fof(f5244,plain,
( spl0_175
| ~ spl0_28
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f354,f327,f176,f5242]) ).
fof(f5242,plain,
( spl0_175
<=> ! [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_175])]) ).
fof(f354,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(X2) )
| ~ spl0_28
| ~ spl0_46 ),
inference(resolution,[],[f328,f177]) ).
fof(f5240,plain,
( spl0_174
| ~ spl0_14
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f346,f327,f83,f5238]) ).
fof(f5238,plain,
( spl0_174
<=> ! [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_174])]) ).
fof(f346,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_14
| ~ spl0_46 ),
inference(resolution,[],[f328,f84]) ).
fof(f5236,plain,
( spl0_173
| ~ spl0_34
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f345,f327,f230,f5234]) ).
fof(f5234,plain,
( spl0_173
<=> ! [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_173])]) ).
fof(f345,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X3,X1)) )
| ~ spl0_34
| ~ spl0_46 ),
inference(resolution,[],[f328,f231]) ).
fof(f5172,plain,
( spl0_172
| ~ spl0_35
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f370,f335,f235,f5170]) ).
fof(f5170,plain,
( spl0_172
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f370,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(X0))) )
| ~ spl0_35
| ~ spl0_48 ),
inference(resolution,[],[f336,f236]) ).
fof(f4736,plain,
( spl0_171
| ~ spl0_35
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f350,f327,f235,f4734]) ).
fof(f350,plain,
( ! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(X1) )
| ~ spl0_35
| ~ spl0_46 ),
inference(resolution,[],[f328,f236]) ).
fof(f4732,plain,
( spl0_170
| ~ spl0_14
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f568,f556,f83,f4730]) ).
fof(f568,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1))))
| ~ spl0_14
| ~ spl0_62 ),
inference(resolution,[],[f557,f84]) ).
fof(f4728,plain,
( spl0_169
| ~ spl0_34
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f565,f556,f230,f4726]) ).
fof(f565,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2))))
| ~ spl0_34
| ~ spl0_62 ),
inference(resolution,[],[f557,f231]) ).
fof(f4724,plain,
( spl0_168
| ~ spl0_16
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f549,f503,f94,f4722]) ).
fof(f4722,plain,
( spl0_168
<=> ! [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_168])]) ).
fof(f549,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X1,not(or(not(X2),X0)))) )
| ~ spl0_16
| ~ spl0_60 ),
inference(resolution,[],[f504,f95]) ).
fof(f4720,plain,
( spl0_167
| ~ spl0_21
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f532,f499,f133,f4718]) ).
fof(f4718,plain,
( spl0_167
<=> ! [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_167])]) ).
fof(f532,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),not(X1)))))) )
| ~ spl0_21
| ~ spl0_59 ),
inference(resolution,[],[f500,f134]) ).
fof(f4716,plain,
( spl0_166
| ~ spl0_42
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f521,f499,f280,f4714]) ).
fof(f4714,plain,
( spl0_166
<=> ! [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_166])]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,or(X3,X1)))
| ~ theorem(X2) )
| ~ spl0_42
| ~ spl0_59 ),
inference(resolution,[],[f500,f281]) ).
fof(f4712,plain,
( spl0_165
| ~ spl0_16
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f514,f491,f94,f4710]) ).
fof(f4710,plain,
( spl0_165
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f514,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_57 ),
inference(resolution,[],[f492,f95]) ).
fof(f4708,plain,
( spl0_164
| ~ spl0_6
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f469,f448,f44,f4706]) ).
fof(f4706,plain,
( spl0_164
<=> ! [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_164])]) ).
fof(f469,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,not(X1))),X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_54 ),
inference(resolution,[],[f449,f45]) ).
fof(f4704,plain,
( spl0_163
| ~ spl0_46
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f459,f444,f327,f4702]) ).
fof(f4702,plain,
( spl0_163
<=> ! [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_163])]) ).
fof(f459,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(not(X0),X3))) )
| ~ spl0_46
| ~ spl0_53 ),
inference(resolution,[],[f445,f328]) ).
fof(f4700,plain,
( spl0_162
| ~ spl0_45
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f428,f412,f292,f4698]) ).
fof(f428,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1))
| ~ spl0_45
| ~ spl0_50 ),
inference(resolution,[],[f413,f293]) ).
fof(f4696,plain,
( spl0_161
| ~ spl0_14
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f398,f387,f83,f4694]) ).
fof(f398,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0)))))
| ~ spl0_14
| ~ spl0_49 ),
inference(resolution,[],[f388,f84]) ).
fof(f4691,plain,
( spl0_160
| ~ spl0_34
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f395,f387,f230,f4689]) ).
fof(f395,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2)))))
| ~ spl0_34
| ~ spl0_49 ),
inference(resolution,[],[f388,f231]) ).
fof(f4687,plain,
( spl0_159
| ~ spl0_19
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f344,f327,f118,f4685]) ).
fof(f4685,plain,
( spl0_159
<=> ! [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_159])]) ).
fof(f344,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X3))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_19
| ~ spl0_46 ),
inference(resolution,[],[f328,f119]) ).
fof(f4683,plain,
( spl0_158
| ~ spl0_32
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f299,f284,f217,f4681]) ).
fof(f299,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) )
| ~ spl0_32
| ~ spl0_43 ),
inference(resolution,[],[f285,f218]) ).
fof(f2790,plain,
( spl0_37
| ~ spl0_40
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1452,f1009,f266,f246]) ).
fof(f246,plain,
( spl0_37
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1009,plain,
( spl0_96
<=> ! [X2,X3] :
( ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1452,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_40
| ~ spl0_96 ),
inference(resolution,[],[f1010,f267]) ).
fof(f1010,plain,
( ! [X2,X3] :
( ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f2702,plain,
( spl0_2
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2696]) ).
fof(f2696,plain,
( $false
| spl0_2
| ~ spl0_36 ),
inference(resolution,[],[f244,f27]) ).
fof(f244,plain,
( ! [X1] : theorem(X1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl0_36
<=> ! [X1] : theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2701,plain,
( ~ spl0_36
| ~ spl0_85 ),
inference(avatar_contradiction_clause,[],[f2697]) ).
fof(f2697,plain,
( $false
| ~ spl0_36
| ~ spl0_85 ),
inference(resolution,[],[f244,f890]) ).
fof(f890,plain,
( ! [X2] : ~ theorem(not(or(not(X2),X2)))
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f889,plain,
( spl0_85
<=> ! [X2] : ~ theorem(not(or(not(X2),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f2700,plain,
( ~ spl0_36
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2699,plain,
( $false
| ~ spl0_36
| ~ spl0_130 ),
inference(resolution,[],[f244,f2184]) ).
fof(f2184,plain,
( ! [X0] : ~ theorem(not(or(X0,not(X0))))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f2183,plain,
( spl0_130
<=> ! [X0] : ~ theorem(not(or(X0,not(X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f2695,plain,
( spl0_157
| ~ spl0_73
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f2065,f1824,f741,f2693]) ).
fof(f2693,plain,
( spl0_157
<=> ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f2065,plain,
( ! [X0,X1] :
( ~ theorem(not(or(X0,X1)))
| ~ theorem(X1) )
| ~ spl0_73
| ~ spl0_112 ),
inference(resolution,[],[f1825,f742]) ).
fof(f2640,plain,
( spl0_156
| ~ spl0_25
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f610,f589,f156,f2638]) ).
fof(f2638,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f610,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_25
| ~ spl0_63 ),
inference(resolution,[],[f590,f157]) ).
fof(f2636,plain,
( spl0_155
| ~ spl0_11
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f598,f589,f69,f2634]) ).
fof(f2634,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f598,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_11
| ~ spl0_63 ),
inference(resolution,[],[f590,f70]) ).
fof(f2632,plain,
( spl0_154
| ~ spl0_26
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f579,f556,f164,f2630]) ).
fof(f2630,plain,
( spl0_154
<=> ! [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_154])]) ).
fof(f579,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X1,X3))) )
| ~ spl0_26
| ~ spl0_62 ),
inference(resolution,[],[f557,f165]) ).
fof(f2628,plain,
( spl0_153
| ~ spl0_6
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f546,f503,f44,f2626]) ).
fof(f546,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_6
| ~ spl0_60 ),
inference(resolution,[],[f504,f45]) ).
fof(f2624,plain,
( spl0_152
| ~ spl0_11
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f522,f499,f69,f2622]) ).
fof(f2622,plain,
( spl0_152
<=> ! [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_152])]) ).
fof(f522,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X2,X1)))) )
| ~ spl0_11
| ~ spl0_59 ),
inference(resolution,[],[f500,f70]) ).
fof(f2620,plain,
( spl0_151
| ~ spl0_6
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f512,f491,f44,f2618]) ).
fof(f512,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_57 ),
inference(resolution,[],[f492,f45]) ).
fof(f2616,plain,
( spl0_150
| ~ spl0_16
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f489,f456,f94,f2614]) ).
fof(f2614,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) )
| ~ spl0_16
| ~ spl0_56 ),
inference(resolution,[],[f457,f95]) ).
fof(f2612,plain,
( spl0_149
| ~ spl0_17
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f486,f456,f104,f2610]) ).
fof(f2610,plain,
( spl0_149
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f486,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) )
| ~ spl0_17
| ~ spl0_56 ),
inference(resolution,[],[f457,f105]) ).
fof(f2608,plain,
( spl0_148
| ~ spl0_16
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1764,f929,f94,f2606]) ).
fof(f1764,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X1)),X1))
| ~ spl0_16
| ~ spl0_90 ),
inference(resolution,[],[f930,f95]) ).
fof(f2604,plain,
( spl0_147
| ~ spl0_49
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f485,f456,f387,f2602]) ).
fof(f2602,plain,
( spl0_147
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) )
| ~ spl0_49
| ~ spl0_56 ),
inference(resolution,[],[f457,f388]) ).
fof(f2600,plain,
( spl0_146
| ~ spl0_16
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f474,f448,f94,f2598]) ).
fof(f2598,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f474,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) )
| ~ spl0_16
| ~ spl0_54 ),
inference(resolution,[],[f449,f95]) ).
fof(f2596,plain,
( spl0_145
| ~ spl0_17
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f471,f448,f104,f2594]) ).
fof(f2594,plain,
( spl0_145
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f471,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) )
| ~ spl0_17
| ~ spl0_54 ),
inference(resolution,[],[f449,f105]) ).
fof(f2592,plain,
( spl0_144
| ~ spl0_49
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f470,f448,f387,f2590]) ).
fof(f2590,plain,
( spl0_144
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) )
| ~ spl0_49
| ~ spl0_54 ),
inference(resolution,[],[f449,f388]) ).
fof(f2588,plain,
( spl0_143
| ~ spl0_16
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f466,f444,f94,f2586]) ).
fof(f2586,plain,
( spl0_143
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f466,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) )
| ~ spl0_16
| ~ spl0_53 ),
inference(resolution,[],[f445,f95]) ).
fof(f2584,plain,
( spl0_142
| ~ spl0_17
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f463,f444,f104,f2582]) ).
fof(f2582,plain,
( spl0_142
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f463,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) )
| ~ spl0_17
| ~ spl0_53 ),
inference(resolution,[],[f445,f105]) ).
fof(f2580,plain,
( spl0_141
| ~ spl0_49
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f462,f444,f387,f2578]) ).
fof(f2578,plain,
( spl0_141
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f462,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) )
| ~ spl0_49
| ~ spl0_53 ),
inference(resolution,[],[f445,f388]) ).
fof(f2576,plain,
( spl0_140
| ~ spl0_6
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f438,f420,f44,f2574]) ).
fof(f438,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_52 ),
inference(resolution,[],[f421,f45]) ).
fof(f2572,plain,
( spl0_139
| ~ spl0_44
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f410,f387,f288,f2570]) ).
fof(f410,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_44
| ~ spl0_49 ),
inference(resolution,[],[f388,f289]) ).
fof(f2568,plain,
( spl0_138
| ~ spl0_31
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f403,f387,f213,f2566]) ).
fof(f2566,plain,
( spl0_138
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_31
| ~ spl0_49 ),
inference(resolution,[],[f388,f214]) ).
fof(f2564,plain,
( spl0_137
| ~ spl0_16
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1563,f789,f94,f2562]) ).
fof(f1563,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X1),X0))
| ~ spl0_16
| ~ spl0_74 ),
inference(resolution,[],[f790,f95]) ).
fof(f2560,plain,
( spl0_136
| ~ spl0_42
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f397,f387,f280,f2558]) ).
fof(f2558,plain,
( spl0_136
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f397,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) )
| ~ spl0_42
| ~ spl0_49 ),
inference(resolution,[],[f388,f281]) ).
fof(f2556,plain,
( spl0_135
| ~ spl0_19
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f394,f387,f118,f2554]) ).
fof(f2554,plain,
( spl0_135
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f394,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19
| ~ spl0_49 ),
inference(resolution,[],[f388,f119]) ).
fof(f2552,plain,
( spl0_134
| ~ spl0_12
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f343,f327,f74,f2550]) ).
fof(f2550,plain,
( spl0_134
<=> ! [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_134])]) ).
fof(f343,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) )
| ~ spl0_12
| ~ spl0_46 ),
inference(resolution,[],[f328,f75]) ).
fof(f2548,plain,
( spl0_133
| ~ spl0_17
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f310,f288,f104,f2546]) ).
fof(f2546,plain,
( spl0_133
<=> ! [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_133])]) ).
fof(f310,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(or(X3,X2),X1))) )
| ~ spl0_17
| ~ spl0_44 ),
inference(resolution,[],[f289,f105]) ).
fof(f2544,plain,
( spl0_132
| ~ spl0_26
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f306,f284,f164,f2542]) ).
fof(f306,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) )
| ~ spl0_26
| ~ spl0_43 ),
inference(resolution,[],[f285,f165]) ).
fof(f2540,plain,
( spl0_131
| ~ spl0_17
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f298,f280,f104,f2538]) ).
fof(f2538,plain,
( spl0_131
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f298,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) )
| ~ spl0_17
| ~ spl0_42 ),
inference(resolution,[],[f281,f105]) ).
fof(f2185,plain,
( spl0_130
| ~ spl0_64
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f2068,f1824,f593,f2183]) ).
fof(f2068,plain,
( ! [X0] : ~ theorem(not(or(X0,not(X0))))
| ~ spl0_64
| ~ spl0_112 ),
inference(resolution,[],[f1825,f594]) ).
fof(f2106,plain,
( spl0_129
| ~ spl0_25
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f574,f556,f156,f2104]) ).
fof(f574,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_25
| ~ spl0_62 ),
inference(resolution,[],[f557,f157]) ).
fof(f2102,plain,
( spl0_128
| ~ spl0_28
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f572,f556,f176,f2100]) ).
fof(f572,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_28
| ~ spl0_62 ),
inference(resolution,[],[f557,f177]) ).
fof(f2098,plain,
( spl0_127
| ~ spl0_11
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f561,f556,f69,f2096]) ).
fof(f561,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_11
| ~ spl0_62 ),
inference(resolution,[],[f557,f70]) ).
fof(f2094,plain,
( spl0_126
| ~ spl0_6
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f461,f444,f44,f2092]) ).
fof(f2092,plain,
( spl0_126
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f461,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_6
| ~ spl0_53 ),
inference(resolution,[],[f445,f45]) ).
fof(f2090,plain,
( spl0_125
| ~ spl0_16
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f441,f420,f94,f2088]) ).
fof(f2088,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f441,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) )
| ~ spl0_16
| ~ spl0_52 ),
inference(resolution,[],[f421,f95]) ).
fof(f2086,plain,
( spl0_124
| ~ spl0_41
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f409,f387,f270,f2084]) ).
fof(f409,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_41
| ~ spl0_49 ),
inference(resolution,[],[f388,f271]) ).
fof(f2082,plain,
( spl0_123
| ~ spl0_28
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f402,f387,f176,f2080]) ).
fof(f402,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_28
| ~ spl0_49 ),
inference(resolution,[],[f388,f177]) ).
fof(f2047,plain,
( spl0_122
| ~ spl0_29
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f401,f387,f180,f2045]) ).
fof(f401,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_29
| ~ spl0_49 ),
inference(resolution,[],[f388,f181]) ).
fof(f2043,plain,
( spl0_121
| ~ spl0_10
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f396,f387,f63,f2041]) ).
fof(f396,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_10
| ~ spl0_49 ),
inference(resolution,[],[f388,f64]) ).
fof(f2039,plain,
( spl0_120
| ~ spl0_12
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f393,f387,f74,f2037]) ).
fof(f393,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_12
| ~ spl0_49 ),
inference(resolution,[],[f388,f75]) ).
fof(f2035,plain,
( spl0_119
| ~ spl0_44
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f385,f335,f288,f2033]) ).
fof(f2033,plain,
( spl0_119
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f385,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) )
| ~ spl0_44
| ~ spl0_48 ),
inference(resolution,[],[f336,f289]) ).
fof(f2031,plain,
( spl0_118
| ~ spl0_26
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f377,f335,f164,f2029]) ).
fof(f2029,plain,
( spl0_118
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f377,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) )
| ~ spl0_26
| ~ spl0_48 ),
inference(resolution,[],[f336,f165]) ).
fof(f2027,plain,
( spl0_117
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f361,f335,f280,f2025]) ).
fof(f361,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_42
| ~ spl0_48 ),
inference(resolution,[],[f336,f281]) ).
fof(f2023,plain,
( spl0_116
| ~ spl0_26
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f357,f327,f164,f2021]) ).
fof(f357,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_26
| ~ spl0_46 ),
inference(resolution,[],[f328,f165]) ).
fof(f2019,plain,
( spl0_115
| ~ spl0_12
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f314,f292,f74,f2017]) ).
fof(f314,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_12
| ~ spl0_45 ),
inference(resolution,[],[f293,f75]) ).
fof(f2015,plain,
( spl0_114
| ~ spl0_30
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f295,f280,f184,f2013]) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) )
| ~ spl0_30
| ~ spl0_42 ),
inference(resolution,[],[f281,f185]) ).
fof(f2011,plain,
( spl0_113
| ~ spl0_17
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f278,f270,f104,f2009]) ).
fof(f278,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_17
| ~ spl0_41 ),
inference(resolution,[],[f271,f105]) ).
fof(f1826,plain,
( spl0_112
| ~ spl0_71
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f937,f881,f733,f1824]) ).
fof(f937,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(or(X0,X0)) )
| ~ spl0_71
| ~ spl0_83 ),
inference(resolution,[],[f882,f734]) ).
fof(f1796,plain,
( spl0_111
| ~ spl0_10
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f520,f499,f63,f1794]) ).
fof(f520,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_10
| ~ spl0_59 ),
inference(resolution,[],[f500,f64]) ).
fof(f1792,plain,
( spl0_110
| ~ spl0_7
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f518,f499,f49,f1790]) ).
fof(f1790,plain,
( spl0_110
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f518,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) )
| ~ spl0_7
| ~ spl0_59 ),
inference(resolution,[],[f500,f50]) ).
fof(f1788,plain,
( spl0_109
| ~ spl0_45
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f487,f456,f292,f1786]) ).
fof(f1786,plain,
( spl0_109
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f487,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) )
| ~ spl0_45
| ~ spl0_56 ),
inference(resolution,[],[f457,f293]) ).
fof(f1784,plain,
( spl0_108
| ~ spl0_45
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f464,f444,f292,f1782]) ).
fof(f464,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) )
| ~ spl0_45
| ~ spl0_53 ),
inference(resolution,[],[f445,f293]) ).
fof(f1780,plain,
( spl0_107
| ~ spl0_41
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f384,f335,f270,f1778]) ).
fof(f384,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_41
| ~ spl0_48 ),
inference(resolution,[],[f336,f271]) ).
fof(f1776,plain,
( spl0_106
| ~ spl0_23
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f379,f335,f148,f1774]) ).
fof(f1774,plain,
( spl0_106
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f379,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) )
| ~ spl0_23
| ~ spl0_48 ),
inference(resolution,[],[f336,f149]) ).
fof(f1772,plain,
( spl0_105
| ~ spl0_25
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f372,f335,f156,f1770]) ).
fof(f1770,plain,
( spl0_105
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f372,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) )
| ~ spl0_25
| ~ spl0_48 ),
inference(resolution,[],[f336,f157]) ).
fof(f1768,plain,
( spl0_104
| ~ spl0_11
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f362,f335,f69,f1766]) ).
fof(f362,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_11
| ~ spl0_48 ),
inference(resolution,[],[f336,f70]) ).
fof(f1754,plain,
( spl0_103
| ~ spl0_25
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f352,f327,f156,f1752]) ).
fof(f1752,plain,
( spl0_103
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f352,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) )
| ~ spl0_25
| ~ spl0_46 ),
inference(resolution,[],[f328,f157]) ).
fof(f1750,plain,
( spl0_102
| ~ spl0_44
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f325,f292,f288,f1748]) ).
fof(f325,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) )
| ~ spl0_44
| ~ spl0_45 ),
inference(resolution,[],[f293,f289]) ).
fof(f1746,plain,
( spl0_101
| ~ spl0_42
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f317,f292,f280,f1744]) ).
fof(f317,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_42
| ~ spl0_45 ),
inference(resolution,[],[f293,f281]) ).
fof(f1742,plain,
( spl0_100
| ~ spl0_19
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f315,f292,f118,f1740]) ).
fof(f315,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_19
| ~ spl0_45 ),
inference(resolution,[],[f293,f119]) ).
fof(f1648,plain,
( spl0_99
| ~ spl0_22
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f573,f556,f137,f1646]) ).
fof(f573,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_22
| ~ spl0_62 ),
inference(resolution,[],[f557,f138]) ).
fof(f1644,plain,
( spl0_98
| ~ spl0_7
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f559,f556,f49,f1642]) ).
fof(f559,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_7
| ~ spl0_62 ),
inference(resolution,[],[f557,f50]) ).
fof(f1019,plain,
( spl0_97
| ~ spl0_71
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1013,f892,f733,f1017]) ).
fof(f892,plain,
( spl0_86
<=> ! [X0,X1] : theorem(or(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1013,plain,
( ! [X0] : ~ theorem(X0)
| ~ spl0_71
| ~ spl0_86 ),
inference(resolution,[],[f893,f734]) ).
fof(f893,plain,
( ! [X0,X1] : theorem(or(X0,X1))
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f1011,plain,
( spl0_96
| spl0_86
| ~ spl0_39
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f376,f335,f257,f892,f1009]) ).
fof(f257,plain,
( spl0_39
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f376,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) )
| ~ spl0_39
| ~ spl0_48 ),
inference(resolution,[],[f336,f258]) ).
fof(f258,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(X0) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f1007,plain,
( spl0_95
| ~ spl0_16
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f726,f593,f94,f1005]) ).
fof(f726,plain,
( ! [X0,X1] : theorem(or(or(X0,not(X0)),X1))
| ~ spl0_16
| ~ spl0_64 ),
inference(resolution,[],[f594,f95]) ).
fof(f1003,plain,
( spl0_94
| ~ spl0_21
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f349,f327,f133,f1001]) ).
fof(f349,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_21
| ~ spl0_46 ),
inference(resolution,[],[f328,f134]) ).
fof(f999,plain,
( spl0_93
| ~ spl0_42
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f341,f327,f280,f997]) ).
fof(f997,plain,
( spl0_93
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f341,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) )
| ~ spl0_42
| ~ spl0_46 ),
inference(resolution,[],[f328,f281]) ).
fof(f995,plain,
( spl0_92
| ~ spl0_41
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f324,f292,f270,f993]) ).
fof(f324,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_41
| ~ spl0_45 ),
inference(resolution,[],[f293,f271]) ).
fof(f991,plain,
( spl0_91
| ~ spl0_10
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f316,f292,f63,f989]) ).
fof(f316,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_10
| ~ spl0_45 ),
inference(resolution,[],[f293,f64]) ).
fof(f931,plain,
( spl0_90
| ~ spl0_17
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f723,f593,f104,f929]) ).
fof(f723,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X0))))
| ~ spl0_17
| ~ spl0_64 ),
inference(resolution,[],[f594,f105]) ).
fof(f906,plain,
( spl0_89
| ~ spl0_39
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f578,f556,f257,f904]) ).
fof(f578,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_39
| ~ spl0_62 ),
inference(resolution,[],[f557,f258]) ).
fof(f902,plain,
( spl0_88
| ~ spl0_26
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f405,f387,f164,f900]) ).
fof(f405,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_26
| ~ spl0_49 ),
inference(resolution,[],[f388,f165]) ).
fof(f898,plain,
( spl0_87
| ~ spl0_20
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f378,f335,f129,f896]) ).
fof(f378,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_20
| ~ spl0_48 ),
inference(resolution,[],[f336,f130]) ).
fof(f894,plain,
( spl0_85
| spl0_86
| ~ spl0_22
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f371,f335,f137,f892,f889]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(X2),X2))) )
| ~ spl0_22
| ~ spl0_48 ),
inference(resolution,[],[f336,f138]) ).
fof(f887,plain,
( spl0_84
| ~ spl0_21
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f369,f335,f133,f885]) ).
fof(f369,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_21
| ~ spl0_48 ),
inference(resolution,[],[f336,f134]) ).
fof(f883,plain,
( spl0_83
| ~ spl0_10
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f360,f335,f63,f881]) ).
fof(f360,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_10
| ~ spl0_48 ),
inference(resolution,[],[f336,f64]) ).
fof(f879,plain,
( spl0_82
| ~ spl0_7
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f358,f335,f49,f877]) ).
fof(f358,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) )
| ~ spl0_7
| ~ spl0_48 ),
inference(resolution,[],[f336,f50]) ).
fof(f875,plain,
( spl0_81
| ~ spl0_16
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f703,f495,f94,f873]) ).
fof(f703,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X0)))
| ~ spl0_16
| ~ spl0_58 ),
inference(resolution,[],[f496,f95]) ).
fof(f871,plain,
( spl0_80
| ~ spl0_11
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f342,f327,f69,f869]) ).
fof(f342,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_11
| ~ spl0_46 ),
inference(resolution,[],[f328,f70]) ).
fof(f867,plain,
( spl0_79
| ~ spl0_16
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f297,f280,f94,f865]) ).
fof(f865,plain,
( spl0_79
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f297,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) )
| ~ spl0_16
| ~ spl0_42 ),
inference(resolution,[],[f281,f95]) ).
fof(f807,plain,
( spl0_78
| ~ spl0_25
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f400,f387,f156,f805]) ).
fof(f400,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_25
| ~ spl0_49 ),
inference(resolution,[],[f388,f157]) ).
fof(f803,plain,
( spl0_77
| ~ spl0_6
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f296,f280,f44,f801]) ).
fof(f296,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) )
| ~ spl0_6
| ~ spl0_42 ),
inference(resolution,[],[f281,f45]) ).
fof(f799,plain,
( spl0_76
| ~ spl0_17
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f255,f250,f104,f797]) ).
fof(f255,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_17
| ~ spl0_38 ),
inference(resolution,[],[f251,f105]) ).
fof(f795,plain,
( spl0_75
| ~ spl0_17
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f190,f152,f104,f793]) ).
fof(f190,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_17
| ~ spl0_24 ),
inference(resolution,[],[f153,f105]) ).
fof(f791,plain,
( spl0_74
| ~ spl0_17
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f699,f495,f104,f789]) ).
fof(f699,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X0),X1)))
| ~ spl0_17
| ~ spl0_58 ),
inference(resolution,[],[f496,f105]) ).
fof(f743,plain,
( spl0_73
| ~ spl0_7
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f338,f327,f49,f741]) ).
fof(f338,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_46 ),
inference(resolution,[],[f328,f50]) ).
fof(f739,plain,
( spl0_72
| ~ spl0_43
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f307,f288,f284,f737]) ).
fof(f307,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_43
| ~ spl0_44 ),
inference(resolution,[],[f289,f285]) ).
fof(f735,plain,
( spl0_71
| ~ spl0_37
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f273,f266,f246,f733]) ).
fof(f273,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) )
| ~ spl0_37
| ~ spl0_40 ),
inference(resolution,[],[f267,f247]) ).
fof(f247,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f731,plain,
( spl0_70
| ~ spl0_16
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f264,f257,f94,f729]) ).
fof(f264,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_16
| ~ spl0_39 ),
inference(resolution,[],[f258,f95]) ).
fof(f680,plain,
( spl0_69
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f220,f213,f184,f678]) ).
fof(f220,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_30
| ~ spl0_31 ),
inference(resolution,[],[f214,f185]) ).
fof(f676,plain,
( spl0_68
| ~ spl0_29
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f209,f184,f180,f674]) ).
fof(f209,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_29
| ~ spl0_30 ),
inference(resolution,[],[f185,f181]) ).
fof(f636,plain,
( spl0_67
| ~ spl0_30
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f238,f230,f184,f634]) ).
fof(f238,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) )
| ~ spl0_30
| ~ spl0_34 ),
inference(resolution,[],[f231,f185]) ).
fof(f632,plain,
( spl0_66
| ~ spl0_28
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f210,f184,f176,f630]) ).
fof(f210,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) )
| ~ spl0_28
| ~ spl0_30 ),
inference(resolution,[],[f185,f177]) ).
fof(f628,plain,
( spl0_65
| ~ spl0_14
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f203,f184,f83,f626]) ).
fof(f203,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_30 ),
inference(resolution,[],[f185,f84]) ).
fof(f595,plain,
( spl0_64
| ~ spl0_22
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f399,f387,f137,f593]) ).
fof(f399,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_22
| ~ spl0_49 ),
inference(resolution,[],[f388,f138]) ).
fof(f591,plain,
( spl0_63
| ~ spl0_19
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f202,f184,f118,f589]) ).
fof(f202,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_30 ),
inference(resolution,[],[f185,f119]) ).
fof(f558,plain,
( spl0_62
| ~ spl0_12
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f201,f184,f74,f556]) ).
fof(f201,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X2,or(X1,X3)))) )
| ~ spl0_12
| ~ spl0_30 ),
inference(resolution,[],[f185,f75]) ).
fof(f509,plain,
( spl0_61
| ~ spl0_16
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f241,f230,f94,f507]) ).
fof(f241,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0))))
| ~ spl0_16
| ~ spl0_34 ),
inference(resolution,[],[f231,f95]) ).
fof(f505,plain,
( spl0_60
| ~ spl0_6
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f221,f213,f44,f503]) ).
fof(f221,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(X2) )
| ~ spl0_6
| ~ spl0_31 ),
inference(resolution,[],[f214,f45]) ).
fof(f501,plain,
( spl0_59
| ~ spl0_26
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f211,f184,f164,f499]) ).
fof(f211,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X3))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_26
| ~ spl0_30 ),
inference(resolution,[],[f185,f165]) ).
fof(f497,plain,
( spl0_58
| ~ spl0_7
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f390,f387,f49,f495]) ).
fof(f390,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_7
| ~ spl0_49 ),
inference(resolution,[],[f388,f50]) ).
fof(f493,plain,
( spl0_57
| ~ spl0_6
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f194,f180,f44,f491]) ).
fof(f194,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_29 ),
inference(resolution,[],[f181,f45]) ).
fof(f458,plain,
( spl0_56
| ~ spl0_6
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f239,f230,f44,f456]) ).
fof(f239,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_34 ),
inference(resolution,[],[f231,f45]) ).
fof(f454,plain,
( spl0_55
| ~ spl0_16
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f223,f213,f94,f452]) ).
fof(f223,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) )
| ~ spl0_16
| ~ spl0_31 ),
inference(resolution,[],[f214,f95]) ).
fof(f450,plain,
( spl0_54
| ~ spl0_25
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f208,f184,f156,f448]) ).
fof(f208,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_25
| ~ spl0_30 ),
inference(resolution,[],[f185,f157]) ).
fof(f446,plain,
( spl0_53
| ~ spl0_6
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f191,f176,f44,f444]) ).
fof(f191,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_28 ),
inference(resolution,[],[f177,f45]) ).
fof(f422,plain,
( spl0_52
| ~ spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f206,f184,f133,f420]) ).
fof(f206,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_21
| ~ spl0_30 ),
inference(resolution,[],[f185,f134]) ).
fof(f418,plain,
( spl0_51
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f196,f180,f94,f416]) ).
fof(f196,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f181,f95]) ).
fof(f414,plain,
( spl0_50
| ~ spl0_16
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f193,f176,f94,f412]) ).
fof(f193,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_16
| ~ spl0_28 ),
inference(resolution,[],[f177,f95]) ).
fof(f389,plain,
( spl0_49
| ~ spl0_11
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f200,f184,f69,f387]) ).
fof(f200,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) )
| ~ spl0_11
| ~ spl0_30 ),
inference(resolution,[],[f185,f70]) ).
fof(f337,plain,
( spl0_48
| ~ spl0_18
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f204,f184,f114,f335]) ).
fof(f204,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) )
| ~ spl0_18
| ~ spl0_30 ),
inference(resolution,[],[f185,f115]) ).
fof(f333,plain,
( spl0_47
| ~ spl0_6
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f275,f235,f44,f331]) ).
fof(f275,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_35 ),
inference(resolution,[],[f236,f45]) ).
fof(f329,plain,
( spl0_46
| ~ spl0_6
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f167,f164,f44,f327]) ).
fof(f167,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_26 ),
inference(resolution,[],[f165,f45]) ).
fof(f294,plain,
( spl0_45
| ~ spl0_10
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f199,f184,f63,f292]) ).
fof(f199,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) )
| ~ spl0_10
| ~ spl0_30 ),
inference(resolution,[],[f185,f64]) ).
fof(f290,plain,
( spl0_44
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f170,f164,f94,f288]) ).
fof(f170,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) )
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f165,f95]) ).
fof(f286,plain,
( spl0_43
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f169,f164,f88,f284]) ).
fof(f169,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_26 ),
inference(resolution,[],[f165,f89]) ).
fof(f282,plain,
( spl0_42
| ~ spl0_6
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f160,f156,f44,f280]) ).
fof(f160,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_25 ),
inference(resolution,[],[f157,f45]) ).
fof(f272,plain,
( spl0_41
| ~ spl0_16
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f162,f156,f94,f270]) ).
fof(f162,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_16
| ~ spl0_25 ),
inference(resolution,[],[f157,f95]) ).
fof(f268,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f141,f133,f44,f266]) ).
fof(f141,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[],[f134,f45]) ).
fof(f259,plain,
( spl0_39
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f127,f114,f104,f257]) ).
fof(f127,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_18 ),
inference(resolution,[],[f115,f105]) ).
fof(f252,plain,
( spl0_38
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f146,f137,f94,f250]) ).
fof(f146,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_16
| ~ spl0_22 ),
inference(resolution,[],[f138,f95]) ).
fof(f248,plain,
( spl0_36
| spl0_37
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f124,f114,f44,f246,f243]) ).
fof(f124,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f115,f45]) ).
fof(f237,plain,
( spl0_35
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f189,f152,f94,f235]) ).
fof(f189,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_16
| ~ spl0_24 ),
inference(resolution,[],[f153,f95]) ).
fof(f232,plain,
( spl0_34
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f111,f104,f83,f230]) ).
fof(f111,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,[],[f105,f84]) ).
fof(f228,plain,
( spl0_33
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f101,f94,f83,f226]) ).
fof(f101,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,[],[f95,f84]) ).
fof(f219,plain,
( spl0_32
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f123,f118,f94,f217]) ).
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,f95]) ).
fof(f215,plain,
( spl0_31
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f122,f118,f104,f213]) ).
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,f105]) ).
fof(f186,plain,
( spl0_30
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f121,f118,f44,f184]) ).
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,f45]) ).
fof(f182,plain,
( spl0_29
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f110,f104,f63,f180]) ).
fof(f110,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f105,f64]) ).
fof(f178,plain,
( spl0_28
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f109,f104,f74,f176]) ).
fof(f109,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_12
| ~ spl0_17 ),
inference(resolution,[],[f105,f75]) ).
fof(f174,plain,
( spl0_27
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f100,f94,f74,f172]) ).
fof(f100,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f95,f75]) ).
fof(f166,plain,
( spl0_26
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f112,f104,f78,f164]) ).
fof(f78,plain,
( spl0_13
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f112,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f105,f79]) ).
fof(f79,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f158,plain,
( spl0_25
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f108,f104,f69,f156]) ).
fof(f108,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_11
| ~ spl0_17 ),
inference(resolution,[],[f105,f70]) ).
fof(f154,plain,
( spl0_24
| ~ spl0_15
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f145,f137,f88,f152]) ).
fof(f145,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_15
| ~ spl0_22 ),
inference(resolution,[],[f138,f89]) ).
fof(f150,plain,
( spl0_23
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f99,f94,f69,f148]) ).
fof(f99,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_11
| ~ spl0_16 ),
inference(resolution,[],[f95,f70]) ).
fof(f139,plain,
( spl0_22
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f107,f104,f49,f137]) ).
fof(f107,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f105,f50]) ).
fof(f135,plain,
( spl0_21
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f98,f94,f63,f133]) ).
fof(f98,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_10
| ~ spl0_16 ),
inference(resolution,[],[f95,f64]) ).
fof(f131,plain,
( spl0_20
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f97,f94,f49,f129]) ).
fof(f97,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f95,f50]) ).
fof(f120,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f86,f83,f44,f118]) ).
fof(f86,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f84,f45]) ).
fof(f116,plain,
( spl0_18
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f102,f94,f78,f114]) ).
fof(f102,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f95,f79]) ).
fof(f106,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f81,f74,f44,f104]) ).
fof(f81,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f75,f45]) ).
fof(f96,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f72,f69,f44,f94]) ).
fof(f72,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f70,f45]) ).
fof(f90,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f67,f63,f44,f88]) ).
fof(f67,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f64,f45]) ).
fof(f85,plain,
( spl0_14
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f61,f58,f21,f83]) ).
fof(f21,plain,
( spl0_1
<=> ! [X3] :
( ~ axiom(X3)
| theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f58,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(f61,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f59,f22]) ).
fof(f22,plain,
( ! [X3] :
( ~ axiom(X3)
| theorem(X3) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f59,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,[],[f58]) ).
fof(f80,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f66,f49,f44,f78]) ).
fof(f66,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f50,f45]) ).
fof(f76,plain,
( spl0_12
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f56,f53,f21,f74]) ).
fof(f53,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(f56,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f54,f22]) ).
fof(f54,plain,
( ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f71,plain,
( spl0_11
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f47,f40,f21,f69]) ).
fof(f40,plain,
( spl0_5
<=> ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f47,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f41,f22]) ).
fof(f41,plain,
( ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f65,plain,
( spl0_10
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f38,f34,f21,f63]) ).
fof(f34,plain,
( spl0_4
<=> ! [X0] : axiom(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f38,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f35,f22]) ).
fof(f35,plain,
( ! [X0] : axiom(or(not(or(X0,X0)),X0))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f60,plain,
spl0_9,
inference(avatar_split_clause,[],[f17,f58]) ).
fof(f17,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(f55,plain,
spl0_8,
inference(avatar_split_clause,[],[f18,f53]) ).
fof(f18,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(f51,plain,
( spl0_7
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f37,f30,f21,f49]) ).
fof(f30,plain,
( spl0_3
<=> ! [X0,X1] : axiom(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f37,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f31,f22]) ).
fof(f31,plain,
( ! [X0,X1] : axiom(or(not(X0),or(X1,X0)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f46,plain,
spl0_6,
inference(avatar_split_clause,[],[f19,f44]) ).
fof(f19,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(f42,plain,
spl0_5,
inference(avatar_split_clause,[],[f16,f40]) ).
fof(f16,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(f36,plain,
spl0_4,
inference(avatar_split_clause,[],[f15,f34]) ).
fof(f15,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(f32,plain,
spl0_3,
inference(avatar_split_clause,[],[f14,f30]) ).
fof(f14,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(f28,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f13,f25]) ).
fof(f13,plain,
~ theorem(not(or(not(or(not(or(p,q)),or(q,p))),not(or(not(or(q,p)),or(p,q)))))),
inference(definition_unfolding,[],[f11,f12]) ).
fof(f12,plain,
! [X6,X5] : equivalent(X5,X6) = not(or(not(or(not(X5),X6)),not(or(not(X6),X5)))),
inference(definition_unfolding,[],[f10,f9,f6,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,
! [X6,X5] : equivalent(X5,X6) = and(implies(X5,X6),implies(X6,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,axiom,
~ theorem(equivalent(or(p,q),or(q,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f23,plain,
spl0_1,
inference(avatar_split_clause,[],[f7,f21]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL274-3 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 14:05:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (15270)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (15273)WARNING: value z3 for option sas not known
% 0.16/0.39 % (15271)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (15272)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (15274)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (15275)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)
% 0.16/0.39 % (15273)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)
% 0.16/0.39 % (15276)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)
% 0.16/0.39 % (15277)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)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [3]
% 0.16/0.40 TRYING [4]
% 0.16/0.40 TRYING [4]
% 0.23/0.47 TRYING [5]
% 0.23/0.51 TRYING [5]
% 2.03/0.65 TRYING [6]
% 3.35/0.87 TRYING [6]
% 7.65/1.47 TRYING [7]
% 7.65/1.48 TRYING [1]
% 7.65/1.48 TRYING [2]
% 7.65/1.49 TRYING [3]
% 8.00/1.49 TRYING [4]
% 8.42/1.56 TRYING [5]
% 11.38/1.98 TRYING [6]
% 20.90/3.37 % (15275)First to succeed.
% 21.24/3.38 % (15275)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15270"
% 21.24/3.38 % (15275)Refutation found. Thanks to Tanya!
% 21.24/3.38 % SZS status Unsatisfiable for theBenchmark
% 21.24/3.38 % SZS output start Proof for theBenchmark
% See solution above
% 21.24/3.39 % (15275)------------------------------
% 21.24/3.39 % (15275)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 21.24/3.39 % (15275)Termination reason: Refutation
% 21.24/3.39
% 21.24/3.39 % (15275)Memory used [KB]: 12792
% 21.24/3.39 % (15275)Time elapsed: 2.996 s
% 21.24/3.39 % (15275)Instructions burned: 9604 (million)
% 21.24/3.39 % (15270)Success in time 2.976 s
%------------------------------------------------------------------------------