TSTP Solution File: LCL194-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL194-3 : 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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:40:51 EDT 2024
% Result : Unsatisfiable 3.43s 0.84s
% Output : Refutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 280
% Syntax : Number of formulae : 919 ( 22 unt; 0 def)
% Number of atoms : 2876 ( 1 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 3641 (1684 ~;1686 |; 0 &)
% ( 271 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 275 ( 273 usr; 272 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 1661 (1661 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6628,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f25,f29,f33,f39,f43,f48,f52,f57,f62,f68,f73,f77,f82,f87,f94,f104,f115,f119,f127,f137,f141,f145,f153,f161,f165,f173,f183,f187,f191,f197,f222,f226,f235,f240,f244,f254,f259,f264,f271,f276,f283,f294,f298,f305,f317,f321,f328,f332,f336,f340,f375,f379,f429,f454,f458,f462,f467,f490,f494,f498,f502,f540,f544,f548,f552,f603,f608,f641,f674,f678,f682,f722,f728,f757,f767,f771,f797,f802,f806,f810,f814,f865,f869,f873,f877,f937,f941,f945,f949,f953,f957,f964,f968,f972,f976,f1021,f1068,f1072,f1076,f1080,f1084,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1344,f1572,f1765,f1769,f1795,f1863,f1867,f1871,f1875,f1879,f1883,f1892,f1896,f1900,f1904,f1908,f1912,f1994,f2118,f2122,f2127,f2131,f2135,f2139,f2143,f2147,f2151,f2155,f2159,f2163,f2167,f2173,f2177,f2181,f2185,f2189,f2578,f2610,f2614,f2618,f2622,f2626,f2630,f2634,f2638,f2642,f2646,f2650,f2654,f2658,f2662,f2666,f2670,f2674,f2678,f2683,f2687,f2691,f2695,f2699,f2703,f2707,f3012,f3268,f3272,f3276,f3280,f3284,f3288,f3292,f3296,f3300,f3304,f3308,f3314,f3318,f3322,f3628,f3807,f3811,f3815,f3819,f3823,f3827,f3831,f3835,f3839,f3843,f3847,f3851,f3855,f3859,f3871,f3875,f4000,f4329,f4333,f4338,f4342,f4346,f4350,f4354,f4358,f4362,f4366,f4370,f4374,f4378,f4384,f4388,f4392,f4396,f4400,f4404,f4408,f4780,f5068,f5072,f5076,f5080,f5095,f5099,f5103,f5107,f5111,f5115,f5119,f5123,f5127,f5131,f5136,f5140,f5144,f5148,f5152,f5156,f5160,f5164,f5168,f5172,f5176,f5182,f5186,f5190,f5194,f5198,f5202,f5206,f5210,f5214,f5218,f5223,f5227,f5231,f5235,f5953,f6575,f6579,f6583,f6587,f6591,f6595,f6599,f6603,f6607,f6611,f6615,f6627]) ).
fof(f6627,plain,
( ~ spl0_11
| spl0_261 ),
inference(avatar_contradiction_clause,[],[f6616]) ).
fof(f6616,plain,
( $false
| ~ spl0_11
| spl0_261 ),
inference(resolution,[],[f6574,f67]) ).
fof(f67,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_11
<=> ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f6574,plain,
( ~ theorem(or(not(or(q,p)),or(p,q)))
| spl0_261 ),
inference(avatar_component_clause,[],[f6572]) ).
fof(f6572,plain,
( spl0_261
<=> theorem(or(not(or(q,p)),or(p,q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f6615,plain,
( spl0_271
| ~ spl0_10
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f616,f601,f60,f6613]) ).
fof(f6613,plain,
( spl0_271
<=> ! [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_271])]) ).
fof(f60,plain,
( spl0_10
<=> ! [X0] : theorem(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f601,plain,
( spl0_68
<=> ! [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_68])]) ).
fof(f616,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_68 ),
inference(resolution,[],[f602,f61]) ).
fof(f61,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f602,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X2,or(X1,X3))))
| theorem(or(X0,or(X1,or(X2,X3)))) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f6611,plain,
( spl0_270
| ~ spl0_17
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f596,f546,f102,f6609]) ).
fof(f6609,plain,
( spl0_270
<=> ! [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_270])]) ).
fof(f102,plain,
( spl0_17
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f546,plain,
( spl0_66
<=> ! [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_66])]) ).
fof(f596,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_66 ),
inference(resolution,[],[f547,f103]) ).
fof(f103,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f547,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(or(not(X0),X1))
| ~ theorem(X2) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f6607,plain,
( spl0_269
| ~ spl0_55
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f595,f546,f427,f6605]) ).
fof(f6605,plain,
( spl0_269
<=> ! [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_269])]) ).
fof(f427,plain,
( spl0_55
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f595,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_55
| ~ spl0_66 ),
inference(resolution,[],[f547,f428]) ).
fof(f428,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f6603,plain,
( spl0_268
| ~ spl0_63
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f571,f542,f500,f6601]) ).
fof(f6601,plain,
( spl0_268
<=> ! [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_268])]) ).
fof(f500,plain,
( spl0_63
<=> ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f542,plain,
( spl0_65
<=> ! [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_65])]) ).
fof(f571,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_63
| ~ spl0_65 ),
inference(resolution,[],[f543,f501]) ).
fof(f501,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f543,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X3),X2))
| ~ theorem(or(X0,X3))
| theorem(or(X0,or(X1,X2))) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f6599,plain,
( spl0_267
| ~ spl0_60
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f568,f542,f488,f6597]) ).
fof(f6597,plain,
( spl0_267
<=> ! [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_267])]) ).
fof(f488,plain,
( spl0_60
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f568,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_60
| ~ spl0_65 ),
inference(resolution,[],[f543,f489]) ).
fof(f489,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f6595,plain,
( spl0_266
| ~ spl0_19
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f567,f542,f117,f6593]) ).
fof(f6593,plain,
( spl0_266
<=> ! [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_266])]) ).
fof(f117,plain,
( spl0_19
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f567,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_65 ),
inference(resolution,[],[f543,f118]) ).
fof(f118,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f6591,plain,
( spl0_265
| ~ spl0_52
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f560,f538,f338,f6589]) ).
fof(f6589,plain,
( spl0_265
<=> ! [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_265])]) ).
fof(f338,plain,
( spl0_52
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f538,plain,
( spl0_64
<=> ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f560,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),or(X1,X1)),or(not(X0),or(X1,X1)))),X1)) )
| ~ spl0_52
| ~ spl0_64 ),
inference(resolution,[],[f539,f339]) ).
fof(f339,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f539,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f6587,plain,
( spl0_264
| ~ spl0_31
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f518,f492,f195,f6585]) ).
fof(f6585,plain,
( spl0_264
<=> ! [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_264])]) ).
fof(f195,plain,
( spl0_31
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f492,plain,
( spl0_61
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f518,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_61 ),
inference(resolution,[],[f493,f196]) ).
fof(f196,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f493,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f6583,plain,
( spl0_263
| ~ spl0_17
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f478,f456,f102,f6581]) ).
fof(f6581,plain,
( spl0_263
<=> ! [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_263])]) ).
fof(f456,plain,
( spl0_57
<=> ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f478,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_57 ),
inference(resolution,[],[f457,f103]) ).
fof(f457,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f6579,plain,
( spl0_262
| ~ spl0_55
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f477,f456,f427,f6577]) ).
fof(f6577,plain,
( spl0_262
<=> ! [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_262])]) ).
fof(f477,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(or(or(X0,X1),X2),or(or(X0,X1),X2))),X2),or(X1,X0)))
| ~ spl0_55
| ~ spl0_57 ),
inference(resolution,[],[f457,f428]) ).
fof(f6575,plain,
( ~ spl0_261
| spl0_1
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f6514,f5229,f18,f6572]) ).
fof(f18,plain,
( spl0_1
<=> theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f5229,plain,
( spl0_258
<=> ! [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_258])]) ).
fof(f6514,plain,
( ~ theorem(or(not(or(q,p)),or(p,q)))
| spl0_1
| ~ spl0_258 ),
inference(resolution,[],[f5230,f20]) ).
fof(f20,plain,
( ~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r))))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f5230,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X2),X3)),or(X0,or(X1,X3))))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f5229]) ).
fof(f5953,plain,
( ~ spl0_260
| spl0_1
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1043,f970,f18,f5950]) ).
fof(f5950,plain,
( spl0_260
<=> theorem(or(not(or(not(q),r)),not(or(q,p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f970,plain,
( spl0_97
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1043,plain,
( ~ theorem(or(not(or(not(q),r)),not(or(q,p))))
| spl0_1
| ~ spl0_97 ),
inference(resolution,[],[f971,f20]) ).
fof(f971,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f5235,plain,
( spl0_259
| ~ spl0_16
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f713,f680,f92,f5233]) ).
fof(f5233,plain,
( spl0_259
<=> ! [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_259])]) ).
fof(f92,plain,
( spl0_16
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f680,plain,
( spl0_73
<=> ! [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_73])]) ).
fof(f713,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_73 ),
inference(resolution,[],[f681,f93]) ).
fof(f93,plain,
( ! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f681,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f5231,plain,
( spl0_258
| ~ spl0_17
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f710,f680,f102,f5229]) ).
fof(f710,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_73 ),
inference(resolution,[],[f681,f103]) ).
fof(f5227,plain,
( spl0_257
| ~ spl0_55
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f709,f680,f427,f5225]) ).
fof(f5225,plain,
( spl0_257
<=> ! [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_257])]) ).
fof(f709,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(or(X1,X3),not(or(not(X2),X3))))) )
| ~ spl0_55
| ~ spl0_73 ),
inference(resolution,[],[f681,f428]) ).
fof(f5223,plain,
( ~ spl0_256
| ~ spl0_20
| spl0_235 ),
inference(avatar_split_clause,[],[f5177,f5133,f125,f5220]) ).
fof(f5220,plain,
( spl0_256
<=> theorem(not(not(q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f125,plain,
( spl0_20
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f5133,plain,
( spl0_235
<=> theorem(or(not(not(q)),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f5177,plain,
( ~ theorem(not(not(q)))
| ~ spl0_20
| spl0_235 ),
inference(resolution,[],[f5135,f126]) ).
fof(f126,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f5135,plain,
( ~ theorem(or(not(not(q)),p))
| spl0_235 ),
inference(avatar_component_clause,[],[f5133]) ).
fof(f5218,plain,
( spl0_255
| ~ spl0_68
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f707,f680,f601,f5216]) ).
fof(f5216,plain,
( spl0_255
<=> ! [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_255])]) ).
fof(f707,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X1,or(not(or(not(X2),X3)),X3)))) )
| ~ spl0_68
| ~ spl0_73 ),
inference(resolution,[],[f681,f602]) ).
fof(f5214,plain,
( spl0_254
| ~ spl0_16
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f701,f676,f92,f5212]) ).
fof(f5212,plain,
( spl0_254
<=> ! [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_254])]) ).
fof(f676,plain,
( spl0_72
<=> ! [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_72])]) ).
fof(f701,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_72 ),
inference(resolution,[],[f677,f93]) ).
fof(f677,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f5210,plain,
( spl0_253
| ~ spl0_17
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f698,f676,f102,f5208]) ).
fof(f5208,plain,
( spl0_253
<=> ! [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_253])]) ).
fof(f698,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_72 ),
inference(resolution,[],[f677,f103]) ).
fof(f5206,plain,
( spl0_252
| ~ spl0_55
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f697,f676,f427,f5204]) ).
fof(f5204,plain,
( spl0_252
<=> ! [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_252])]) ).
fof(f697,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(or(X2,X3),not(or(X2,or(not(X1),X3)))))) )
| ~ spl0_55
| ~ spl0_72 ),
inference(resolution,[],[f677,f428]) ).
fof(f5202,plain,
( spl0_251
| ~ spl0_68
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f695,f676,f601,f5200]) ).
fof(f5200,plain,
( spl0_251
<=> ! [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_251])]) ).
fof(f695,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X2,or(not(X1),X3))),X3)))) )
| ~ spl0_68
| ~ spl0_72 ),
inference(resolution,[],[f677,f602]) ).
fof(f5198,plain,
( spl0_250
| ~ spl0_16
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f689,f672,f92,f5196]) ).
fof(f5196,plain,
( spl0_250
<=> ! [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_250])]) ).
fof(f672,plain,
( spl0_71
<=> ! [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_71])]) ).
fof(f689,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_71 ),
inference(resolution,[],[f673,f93]) ).
fof(f673,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f5194,plain,
( spl0_249
| ~ spl0_17
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f686,f672,f102,f5192]) ).
fof(f5192,plain,
( spl0_249
<=> ! [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_249])]) ).
fof(f686,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_71 ),
inference(resolution,[],[f673,f103]) ).
fof(f5190,plain,
( spl0_248
| ~ spl0_55
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f685,f672,f427,f5188]) ).
fof(f5188,plain,
( spl0_248
<=> ! [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_248])]) ).
fof(f685,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(or(X3,X2),not(or(X3,X1))))) )
| ~ spl0_55
| ~ spl0_71 ),
inference(resolution,[],[f673,f428]) ).
fof(f5186,plain,
( spl0_247
| ~ spl0_68
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f683,f672,f601,f5184]) ).
fof(f5184,plain,
( spl0_247
<=> ! [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_247])]) ).
fof(f683,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(not(X1),X2)))
| theorem(or(X0,or(X3,or(not(or(X3,X1)),X2)))) )
| ~ spl0_68
| ~ spl0_71 ),
inference(resolution,[],[f673,f602]) ).
fof(f5182,plain,
( spl0_246
| ~ spl0_48
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f668,f639,f319,f5180]) ).
fof(f5180,plain,
( spl0_246
<=> ! [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_246])]) ).
fof(f319,plain,
( spl0_48
<=> ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f639,plain,
( spl0_70
<=> ! [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_70])]) ).
fof(f668,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_48
| ~ spl0_70 ),
inference(resolution,[],[f640,f320]) ).
fof(f320,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f640,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X3)))
| theorem(or(X0,or(X1,X2)))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f5176,plain,
( spl0_245
| ~ spl0_29
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f659,f639,f185,f5174]) ).
fof(f5174,plain,
( spl0_245
<=> ! [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_245])]) ).
fof(f185,plain,
( spl0_29
<=> ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f659,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(X0,X2))),X3)))
| ~ theorem(or(not(or(X1,X2)),X3)) )
| ~ spl0_29
| ~ spl0_70 ),
inference(resolution,[],[f640,f186]) ).
fof(f186,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f5172,plain,
( spl0_244
| ~ spl0_30
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f658,f639,f189,f5170]) ).
fof(f5170,plain,
( spl0_244
<=> ! [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_244])]) ).
fof(f189,plain,
( spl0_30
<=> ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f658,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_30
| ~ spl0_70 ),
inference(resolution,[],[f640,f190]) ).
fof(f190,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f5168,plain,
( spl0_243
| ~ spl0_10
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f649,f639,f60,f5166]) ).
fof(f5166,plain,
( spl0_243
<=> ! [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_243])]) ).
fof(f649,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_70 ),
inference(resolution,[],[f640,f61]) ).
fof(f5164,plain,
( spl0_242
| ~ spl0_12
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f645,f639,f71,f5162]) ).
fof(f5162,plain,
( spl0_242
<=> ! [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_242])]) ).
fof(f71,plain,
( spl0_12
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f645,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_70 ),
inference(resolution,[],[f640,f72]) ).
fof(f72,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f5160,plain,
( spl0_241
| ~ spl0_51
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f637,f601,f334,f5158]) ).
fof(f5158,plain,
( spl0_241
<=> ! [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_241])]) ).
fof(f334,plain,
( spl0_51
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f637,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_51
| ~ spl0_68 ),
inference(resolution,[],[f602,f335]) ).
fof(f335,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f5156,plain,
( spl0_240
| ~ spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f627,f601,f220,f5154]) ).
fof(f5154,plain,
( spl0_240
<=> ! [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_240])]) ).
fof(f220,plain,
( spl0_32
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X2,X0)),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f627,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(X0,X2)),X3))))
| ~ theorem(or(not(X2),or(X1,X3))) )
| ~ spl0_32
| ~ spl0_68 ),
inference(resolution,[],[f602,f221]) ).
fof(f221,plain,
( ! [X2,X0,X1] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f5152,plain,
( spl0_239
| ~ spl0_61
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f625,f601,f492,f5150]) ).
fof(f5150,plain,
( spl0_239
<=> ! [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_239])]) ).
fof(f625,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(not(or(or(X1,X2),not(X3))),X2))))
| ~ theorem(or(X0,X3)) )
| ~ spl0_61
| ~ spl0_68 ),
inference(resolution,[],[f602,f493]) ).
fof(f5148,plain,
( spl0_238
| ~ spl0_63
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f619,f601,f500,f5146]) ).
fof(f5146,plain,
( spl0_238
<=> ! [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_238])]) ).
fof(f619,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(not(X0),or(X1,X2))),or(X1,or(X3,X2))))
| ~ theorem(or(X3,X0)) )
| ~ spl0_63
| ~ spl0_68 ),
inference(resolution,[],[f602,f501]) ).
fof(f5144,plain,
( spl0_237
| ~ spl0_49
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f617,f601,f326,f5142]) ).
fof(f5142,plain,
( spl0_237
<=> ! [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_237])]) ).
fof(f326,plain,
( spl0_49
<=> ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f617,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(or(X0,or(X1,X2)),not(X3))),or(X1,or(X0,X2))))
| ~ theorem(X3) )
| ~ spl0_49
| ~ spl0_68 ),
inference(resolution,[],[f602,f327]) ).
fof(f327,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f5140,plain,
( spl0_236
| ~ spl0_60
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f614,f601,f488,f5138]) ).
fof(f5138,plain,
( spl0_236
<=> ! [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_236])]) ).
fof(f614,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),or(X2,X3)))),or(X2,or(X0,X3))))
| ~ theorem(X1) )
| ~ spl0_60
| ~ spl0_68 ),
inference(resolution,[],[f602,f489]) ).
fof(f5136,plain,
( ~ spl0_235
| ~ spl0_165
| spl0_220 ),
inference(avatar_split_clause,[],[f5083,f4777,f2701,f5133]) ).
fof(f2701,plain,
( spl0_165
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f4777,plain,
( spl0_220
<=> theorem(or(not(or(not(q),r)),or(r,p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f5083,plain,
( ~ theorem(or(not(not(q)),p))
| ~ spl0_165
| spl0_220 ),
inference(resolution,[],[f4779,f2702]) ).
fof(f2702,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f2701]) ).
fof(f4779,plain,
( ~ theorem(or(not(or(not(q),r)),or(r,p)))
| spl0_220 ),
inference(avatar_component_clause,[],[f4777]) ).
fof(f5131,plain,
( spl0_234
| ~ spl0_19
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f613,f601,f117,f5129]) ).
fof(f5129,plain,
( spl0_234
<=> ! [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_234])]) ).
fof(f613,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_68 ),
inference(resolution,[],[f602,f118]) ).
fof(f5127,plain,
( spl0_233
| ~ spl0_54
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f598,f550,f377,f5125]) ).
fof(f5125,plain,
( spl0_233
<=> ! [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_233])]) ).
fof(f377,plain,
( spl0_54
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f550,plain,
( spl0_67
<=> ! [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_67])]) ).
fof(f598,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),X3))
| ~ theorem(not(not(or(X2,X0)))) )
| ~ spl0_54
| ~ spl0_67 ),
inference(resolution,[],[f551,f378]) ).
fof(f378,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,X1))
| ~ theorem(not(X2)) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f551,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0))))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f5123,plain,
( spl0_232
| ~ spl0_54
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f593,f546,f377,f5121]) ).
fof(f5121,plain,
( spl0_232
<=> ! [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_232])]) ).
fof(f593,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_54
| ~ spl0_66 ),
inference(resolution,[],[f547,f378]) ).
fof(f5119,plain,
( spl0_231
| ~ spl0_31
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f590,f546,f195,f5117]) ).
fof(f5117,plain,
( spl0_231
<=> ! [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_231])]) ).
fof(f590,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(X3,or(not(X2),X0))) )
| ~ spl0_31
| ~ spl0_66 ),
inference(resolution,[],[f547,f196]) ).
fof(f5115,plain,
( spl0_230
| ~ spl0_12
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f566,f542,f71,f5113]) ).
fof(f5113,plain,
( spl0_230
<=> ! [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_230])]) ).
fof(f566,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_65 ),
inference(resolution,[],[f543,f72]) ).
fof(f5111,plain,
( spl0_229
| ~ spl0_54
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f556,f538,f377,f5109]) ).
fof(f5109,plain,
( spl0_229
<=> ! [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_229])]) ).
fof(f556,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X2))
| ~ theorem(not(X1)) )
| ~ spl0_54
| ~ spl0_64 ),
inference(resolution,[],[f539,f378]) ).
fof(f5107,plain,
( spl0_228
| ~ spl0_31
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f554,f538,f195,f5105]) ).
fof(f5105,plain,
( spl0_228
<=> ! [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_228])]) ).
fof(f554,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(or(not(X0),X2),or(not(X0),X2)))) )
| ~ spl0_31
| ~ spl0_64 ),
inference(resolution,[],[f539,f196]) ).
fof(f5103,plain,
( spl0_227
| ~ spl0_17
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f524,f496,f102,f5101]) ).
fof(f5101,plain,
( spl0_227
<=> ! [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_227])]) ).
fof(f496,plain,
( spl0_62
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f524,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_62 ),
inference(resolution,[],[f497,f103]) ).
fof(f497,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X2,X0)),X1),X2))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f5099,plain,
( spl0_226
| ~ spl0_55
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f523,f496,f427,f5097]) ).
fof(f5097,plain,
( spl0_226
<=> ! [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_226])]) ).
fof(f523,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(or(X2,X3),X0)),X1),or(X3,X2))) )
| ~ spl0_55
| ~ spl0_62 ),
inference(resolution,[],[f497,f428]) ).
fof(f5095,plain,
( spl0_225
| ~ spl0_15
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f513,f492,f85,f5093]) ).
fof(f5093,plain,
( spl0_225
<=> ! [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_225])]) ).
fof(f85,plain,
( spl0_15
<=> ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f513,plain,
( ! [X0,X1] :
( ~ theorem(or(or(not(or(X0,not(X1))),X0),X1))
| theorem(or(not(or(X0,not(X1))),X0)) )
| ~ spl0_15
| ~ spl0_61 ),
inference(resolution,[],[f493,f86]) ).
fof(f86,plain,
( ! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f5080,plain,
( spl0_224
| ~ spl0_31
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f485,f460,f195,f5078]) ).
fof(f5078,plain,
( spl0_224
<=> ! [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_224])]) ).
fof(f460,plain,
( spl0_58
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f485,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(or(X2,X0)) )
| ~ spl0_31
| ~ spl0_58 ),
inference(resolution,[],[f461,f196]) ).
fof(f461,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f5076,plain,
( spl0_223
| ~ spl0_34
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f422,f377,f233,f5074]) ).
fof(f5074,plain,
( spl0_223
<=> ! [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_223])]) ).
fof(f233,plain,
( spl0_34
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f422,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,X1)),or(X0,X2)),X3))
| ~ theorem(not(not(or(not(X1),X2)))) )
| ~ spl0_34
| ~ spl0_54 ),
inference(resolution,[],[f378,f234]) ).
fof(f234,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2))))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f5072,plain,
( spl0_222
| ~ spl0_14
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f407,f377,f80,f5070]) ).
fof(f5070,plain,
( spl0_222
<=> ! [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_222])]) ).
fof(f80,plain,
( spl0_14
<=> ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f407,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_54 ),
inference(resolution,[],[f378,f81]) ).
fof(f81,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f5068,plain,
( spl0_221
| ~ spl0_36
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f406,f377,f242,f5066]) ).
fof(f5066,plain,
( spl0_221
<=> ! [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_221])]) ).
fof(f242,plain,
( spl0_36
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f406,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(not(or(not(X1),X3)),or(X0,X3)))) )
| ~ spl0_36
| ~ spl0_54 ),
inference(resolution,[],[f378,f243]) ).
fof(f243,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2))))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f4780,plain,
( ~ spl0_220
| spl0_1
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f3118,f2689,f18,f4777]) ).
fof(f2689,plain,
( spl0_162
<=> ! [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_162])]) ).
fof(f3118,plain,
( ~ theorem(or(not(or(not(q),r)),or(r,p)))
| spl0_1
| ~ spl0_162 ),
inference(resolution,[],[f2690,f20]) ).
fof(f2690,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X3,or(X2,X1))))
| ~ theorem(or(X0,or(X1,X2))) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f4408,plain,
( spl0_219
| ~ spl0_48
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f635,f601,f319,f4406]) ).
fof(f4406,plain,
( spl0_219
<=> ! [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_219])]) ).
fof(f635,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(X1,or(X2,X3)))),X0),or(X2,or(X1,X3))))
| ~ spl0_48
| ~ spl0_68 ),
inference(resolution,[],[f602,f320]) ).
fof(f4404,plain,
( spl0_218
| ~ spl0_52
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f597,f546,f338,f4402]) ).
fof(f4402,plain,
( spl0_218
<=> ! [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_218])]) ).
fof(f597,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),or(X1,X1)))
| ~ theorem(X2)
| theorem(or(not(or(not(X2),X0)),X1)) )
| ~ spl0_52
| ~ spl0_66 ),
inference(resolution,[],[f547,f339]) ).
fof(f4400,plain,
( spl0_217
| ~ spl0_15
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f592,f546,f85,f4398]) ).
fof(f4398,plain,
( spl0_217
<=> ! [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_217])]) ).
fof(f592,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),not(or(not(X1),X0))))
| ~ theorem(X1)
| theorem(not(or(not(X1),X0))) )
| ~ spl0_15
| ~ spl0_66 ),
inference(resolution,[],[f547,f86]) ).
fof(f4396,plain,
( spl0_216
| ~ spl0_27
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f584,f542,f171,f4394]) ).
fof(f4394,plain,
( spl0_216
<=> ! [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_216])]) ).
fof(f171,plain,
( spl0_27
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f584,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X4))))
| ~ theorem(or(not(X1),X4)) )
| ~ spl0_27
| ~ spl0_65 ),
inference(resolution,[],[f543,f172]) ).
fof(f172,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f4392,plain,
( spl0_215
| ~ spl0_54
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f535,f500,f377,f4390]) ).
fof(f4390,plain,
( spl0_215
<=> ! [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_215])]) ).
fof(f535,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(not(or(X0,X2))) )
| ~ spl0_54
| ~ spl0_63 ),
inference(resolution,[],[f501,f378]) ).
fof(f4388,plain,
( spl0_214
| ~ spl0_31
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f530,f500,f195,f4386]) ).
fof(f4386,plain,
( spl0_214
<=> ! [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_214])]) ).
fof(f530,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X2,or(X0,X3)))
| ~ theorem(or(X2,or(not(X1),X3))) )
| ~ spl0_31
| ~ spl0_63 ),
inference(resolution,[],[f501,f196]) ).
fof(f4384,plain,
( spl0_213
| ~ spl0_54
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f521,f496,f377,f4382]) ).
fof(f4382,plain,
( spl0_213
<=> ! [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_213])]) ).
fof(f521,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X3))
| ~ theorem(not(X2)) )
| ~ spl0_54
| ~ spl0_62 ),
inference(resolution,[],[f497,f378]) ).
fof(f4378,plain,
( spl0_212
| ~ spl0_53
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f517,f492,f373,f4376]) ).
fof(f4376,plain,
( spl0_212
<=> ! [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_212])]) ).
fof(f373,plain,
( spl0_53
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f517,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X3,not(X1))),X3)))
| ~ theorem(X0) )
| ~ spl0_53
| ~ spl0_61 ),
inference(resolution,[],[f493,f374]) ).
fof(f374,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f4374,plain,
( spl0_211
| ~ spl0_54
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f514,f492,f377,f4372]) ).
fof(f4372,plain,
( spl0_211
<=> ! [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_211])]) ).
fof(f514,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(or(not(or(X3,not(X1))),X3))) )
| ~ spl0_54
| ~ spl0_61 ),
inference(resolution,[],[f493,f378]) ).
fof(f4370,plain,
( spl0_210
| ~ spl0_54
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f509,f488,f377,f4368]) ).
fof(f4368,plain,
( spl0_210
<=> ! [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_210])]) ).
fof(f509,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),X3))
| ~ theorem(not(or(X1,X2))) )
| ~ spl0_54
| ~ spl0_60 ),
inference(resolution,[],[f489,f378]) ).
fof(f4366,plain,
( spl0_209
| ~ spl0_31
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f504,f488,f195,f4364]) ).
fof(f4364,plain,
( spl0_209
<=> ! [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_209])]) ).
fof(f504,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X2,or(not(X0),X3)))) )
| ~ spl0_31
| ~ spl0_60 ),
inference(resolution,[],[f489,f196]) ).
fof(f4362,plain,
( spl0_208
| ~ spl0_52
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f479,f456,f338,f4360]) ).
fof(f4360,plain,
( spl0_208
<=> ! [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_208])]) ).
fof(f479,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(or(X0,X0),X1),or(or(X0,X0),X1))),X1),X0))
| ~ spl0_52
| ~ spl0_57 ),
inference(resolution,[],[f457,f339]) ).
fof(f4358,plain,
( spl0_207
| ~ spl0_17
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f472,f452,f102,f4356]) ).
fof(f4356,plain,
( spl0_207
<=> ! [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_207])]) ).
fof(f452,plain,
( spl0_56
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f472,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_56 ),
inference(resolution,[],[f453,f103]) ).
fof(f453,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f4354,plain,
( spl0_206
| ~ spl0_55
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f471,f452,f427,f4352]) ).
fof(f4352,plain,
( spl0_206
<=> ! [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_206])]) ).
fof(f471,plain,
( ! [X2,X3,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X2),X3))),or(X0,X3)),or(X2,X1)))
| ~ spl0_55
| ~ spl0_56 ),
inference(resolution,[],[f453,f428]) ).
fof(f4350,plain,
( spl0_205
| ~ spl0_33
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f420,f377,f224,f4348]) ).
fof(f4348,plain,
( spl0_205
<=> ! [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_205])]) ).
fof(f224,plain,
( spl0_33
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f420,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X0,X3))))
| ~ theorem(or(not(X3),X1)) )
| ~ spl0_33
| ~ spl0_54 ),
inference(resolution,[],[f378,f225]) ).
fof(f225,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X2,X1),not(or(X2,X0))))
| ~ theorem(or(not(X0),X1)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f4346,plain,
( spl0_204
| ~ spl0_32
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f415,f377,f220,f4344]) ).
fof(f4344,plain,
( spl0_204
<=> ! [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_204])]) ).
fof(f415,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X0,X2)),X3)))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_32
| ~ spl0_54 ),
inference(resolution,[],[f378,f221]) ).
fof(f4342,plain,
( spl0_203
| ~ spl0_19
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f405,f377,f117,f4340]) ).
fof(f4340,plain,
( spl0_203
<=> ! [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_203])]) ).
fof(f405,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_54 ),
inference(resolution,[],[f378,f118]) ).
fof(f4338,plain,
( ~ spl0_202
| ~ spl0_89
| spl0_167 ),
inference(avatar_split_clause,[],[f3862,f3009,f939,f4335]) ).
fof(f4335,plain,
( spl0_202
<=> theorem(or(r,not(or(q,p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f939,plain,
( spl0_89
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f3009,plain,
( spl0_167
<=> theorem(or(p,or(not(or(q,p)),r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f3862,plain,
( ~ theorem(or(r,not(or(q,p))))
| ~ spl0_89
| spl0_167 ),
inference(resolution,[],[f3011,f940]) ).
fof(f940,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f3011,plain,
( ~ theorem(or(p,or(not(or(q,p)),r)))
| spl0_167 ),
inference(avatar_component_clause,[],[f3009]) ).
fof(f4333,plain,
( spl0_201
| ~ spl0_32
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f396,f373,f220,f4331]) ).
fof(f4331,plain,
( spl0_201
<=> ! [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_201])]) ).
fof(f396,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),X3)))
| ~ theorem(X1)
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_32
| ~ spl0_53 ),
inference(resolution,[],[f374,f221]) ).
fof(f4329,plain,
( spl0_200
| ~ spl0_30
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f394,f373,f189,f4327]) ).
fof(f4327,plain,
( spl0_200
<=> ! [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_200])]) ).
fof(f394,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(X1) )
| ~ spl0_30
| ~ spl0_53 ),
inference(resolution,[],[f374,f190]) ).
fof(f4000,plain,
( ~ spl0_199
| ~ spl0_97
| spl0_167 ),
inference(avatar_split_clause,[],[f3861,f3009,f970,f3997]) ).
fof(f3997,plain,
( spl0_199
<=> theorem(or(p,not(or(q,p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f3861,plain,
( ~ theorem(or(p,not(or(q,p))))
| ~ spl0_97
| spl0_167 ),
inference(resolution,[],[f3011,f971]) ).
fof(f3875,plain,
( spl0_198
| ~ spl0_53
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f589,f546,f373,f3873]) ).
fof(f3873,plain,
( spl0_198
<=> ! [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_198])]) ).
fof(f589,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X3,X1))
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_53
| ~ spl0_66 ),
inference(resolution,[],[f547,f374]) ).
fof(f3871,plain,
( spl0_197
| ~ spl0_26
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f578,f542,f163,f3869]) ).
fof(f3869,plain,
( spl0_197
<=> ! [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_197])]) ).
fof(f163,plain,
( spl0_26
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f578,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(not(or(X3,not(X1))),X3)))) )
| ~ spl0_26
| ~ spl0_65 ),
inference(resolution,[],[f543,f164]) ).
fof(f164,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f3859,plain,
( spl0_196
| ~ spl0_53
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f553,f538,f373,f3857]) ).
fof(f3857,plain,
( spl0_196
<=> ! [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_196])]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(or(not(X0),X2),or(not(X0),X2))) )
| ~ spl0_53
| ~ spl0_64 ),
inference(resolution,[],[f539,f374]) ).
fof(f3855,plain,
( spl0_195
| ~ spl0_52
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f525,f496,f338,f3853]) ).
fof(f3853,plain,
( spl0_195
<=> ! [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_195])]) ).
fof(f525,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(or(X2,X2),X0)),X1),X2)) )
| ~ spl0_52
| ~ spl0_62 ),
inference(resolution,[],[f497,f339]) ).
fof(f3851,plain,
( spl0_194
| ~ spl0_53
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f484,f460,f373,f3849]) ).
fof(f3849,plain,
( spl0_194
<=> ! [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_194])]) ).
fof(f484,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,not(or(not(X1),not(X1)))))
| ~ theorem(X0) )
| ~ spl0_53
| ~ spl0_58 ),
inference(resolution,[],[f461,f374]) ).
fof(f3847,plain,
( spl0_193
| ~ spl0_54
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f481,f460,f377,f3845]) ).
fof(f3845,plain,
( spl0_193
<=> ! [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_193])]) ).
fof(f481,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,X2))
| ~ theorem(not(not(or(not(X1),not(X1))))) )
| ~ spl0_54
| ~ spl0_58 ),
inference(resolution,[],[f461,f378]) ).
fof(f3843,plain,
( spl0_192
| ~ spl0_15
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f480,f460,f85,f3841]) ).
fof(f3841,plain,
( spl0_192
<=> ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f480,plain,
( ! [X0] :
( ~ theorem(or(not(or(not(X0),not(X0))),X0))
| theorem(not(or(not(X0),not(X0)))) )
| ~ spl0_15
| ~ spl0_58 ),
inference(resolution,[],[f461,f86]) ).
fof(f3839,plain,
( spl0_191
| ~ spl0_54
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f475,f456,f377,f3837]) ).
fof(f3837,plain,
( spl0_191
<=> ! [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_191])]) ).
fof(f475,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X2))
| ~ theorem(not(X0)) )
| ~ spl0_54
| ~ spl0_57 ),
inference(resolution,[],[f457,f378]) ).
fof(f3835,plain,
( spl0_190
| ~ spl0_54
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f469,f452,f377,f3833]) ).
fof(f3833,plain,
( spl0_190
<=> ! [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_190])]) ).
fof(f469,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X3))
| ~ theorem(not(X1)) )
| ~ spl0_54
| ~ spl0_56 ),
inference(resolution,[],[f453,f378]) ).
fof(f3831,plain,
( spl0_189
| ~ spl0_28
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f421,f377,f181,f3829]) ).
fof(f3829,plain,
( spl0_189
<=> ! [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_189])]) ).
fof(f181,plain,
( spl0_28
<=> ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f421,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,or(X1,X2)),X3))
| ~ theorem(not(not(or(X1,or(X0,X2))))) )
| ~ spl0_28
| ~ spl0_54 ),
inference(resolution,[],[f378,f182]) ).
fof(f182,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f3827,plain,
( spl0_188
| ~ spl0_29
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f414,f377,f185,f3825]) ).
fof(f3825,plain,
( spl0_188
<=> ! [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_188])]) ).
fof(f414,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,or(X0,X3))),or(X2,X3)))) )
| ~ spl0_29
| ~ spl0_54 ),
inference(resolution,[],[f378,f186]) ).
fof(f3823,plain,
( spl0_187
| ~ spl0_30
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f413,f377,f189,f3821]) ).
fof(f3821,plain,
( spl0_187
<=> ! [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_187])]) ).
fof(f413,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(or(X0,X2),or(X0,X2))),X2))) )
| ~ spl0_30
| ~ spl0_54 ),
inference(resolution,[],[f378,f190]) ).
fof(f3819,plain,
( spl0_186
| ~ spl0_12
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f404,f377,f71,f3817]) ).
fof(f3817,plain,
( spl0_186
<=> ! [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_186])]) ).
fof(f404,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(not(or(X0,or(X1,X2))),X3))
| ~ theorem(not(or(X1,or(X0,X2)))) )
| ~ spl0_12
| ~ spl0_54 ),
inference(resolution,[],[f378,f72]) ).
fof(f3815,plain,
( spl0_185
| ~ spl0_29
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f395,f373,f185,f3813]) ).
fof(f3813,plain,
( spl0_185
<=> ! [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_185])]) ).
fof(f395,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(X2) )
| ~ spl0_29
| ~ spl0_53 ),
inference(resolution,[],[f374,f186]) ).
fof(f3811,plain,
( spl0_184
| ~ spl0_14
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f388,f373,f80,f3809]) ).
fof(f3809,plain,
( spl0_184
<=> ! [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_184])]) ).
fof(f388,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(not(X2),X3)) )
| ~ spl0_14
| ~ spl0_53 ),
inference(resolution,[],[f374,f81]) ).
fof(f3807,plain,
( spl0_183
| ~ spl0_36
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f387,f373,f242,f3805]) ).
fof(f3805,plain,
( spl0_183
<=> ! [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_183])]) ).
fof(f387,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X3,X1)) )
| ~ spl0_36
| ~ spl0_53 ),
inference(resolution,[],[f374,f243]) ).
fof(f3628,plain,
( ~ spl0_182
| ~ spl0_20
| spl0_168 ),
inference(avatar_split_clause,[],[f3309,f3265,f125,f3625]) ).
fof(f3625,plain,
( spl0_182
<=> theorem(not(q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f3265,plain,
( spl0_168
<=> theorem(or(not(q),r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f3309,plain,
( ~ theorem(not(q))
| ~ spl0_20
| spl0_168 ),
inference(resolution,[],[f3267,f126]) ).
fof(f3267,plain,
( ~ theorem(or(not(q),r))
| spl0_168 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f3322,plain,
( spl0_181
| ~ spl0_14
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f618,f601,f80,f3320]) ).
fof(f3320,plain,
( spl0_181
<=> ! [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_181])]) ).
fof(f618,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(X2,or(not(or(X2,X0)),X1))))
| ~ spl0_14
| ~ spl0_68 ),
inference(resolution,[],[f602,f81]) ).
fof(f3318,plain,
( spl0_180
| ~ spl0_36
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f615,f601,f242,f3316]) ).
fof(f3316,plain,
( spl0_180
<=> ! [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_180])]) ).
fof(f615,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(not(or(not(X1),X2)),X2))))
| ~ spl0_36
| ~ spl0_68 ),
inference(resolution,[],[f602,f243]) ).
fof(f3314,plain,
( spl0_179
| ~ spl0_16
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f594,f546,f92,f3312]) ).
fof(f3312,plain,
( spl0_179
<=> ! [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_179])]) ).
fof(f594,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(or(X1,not(or(not(X2),X0)))) )
| ~ spl0_16
| ~ spl0_66 ),
inference(resolution,[],[f547,f93]) ).
fof(f3308,plain,
( spl0_178
| ~ spl0_22
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f575,f542,f139,f3306]) ).
fof(f3306,plain,
( spl0_178
<=> ! [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_178])]) ).
fof(f139,plain,
( spl0_22
<=> ! [X0] : theorem(or(X0,not(or(X0,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f575,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(not(X1),not(X1)))))) )
| ~ spl0_22
| ~ spl0_65 ),
inference(resolution,[],[f543,f140]) ).
fof(f140,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f3304,plain,
( spl0_177
| ~ spl0_49
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f564,f542,f326,f3302]) ).
fof(f3302,plain,
( spl0_177
<=> ! [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_177])]) ).
fof(f564,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,not(X2))))
| theorem(or(X0,or(X3,X1)))
| ~ theorem(X2) )
| ~ spl0_49
| ~ spl0_65 ),
inference(resolution,[],[f543,f327]) ).
fof(f3300,plain,
( spl0_176
| ~ spl0_16
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f557,f538,f92,f3298]) ).
fof(f3298,plain,
( spl0_176
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f557,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(or(not(X0),X1),or(not(X0),X1))))) )
| ~ spl0_16
| ~ spl0_64 ),
inference(resolution,[],[f539,f93]) ).
fof(f3296,plain,
( spl0_175
| ~ spl0_6
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f519,f492,f41,f3294]) ).
fof(f3294,plain,
( spl0_175
<=> ! [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_175])]) ).
fof(f41,plain,
( spl0_6
<=> ! [X4,X3] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f519,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(X2,not(X1))),X2))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_61 ),
inference(resolution,[],[f493,f42]) ).
fof(f42,plain,
( ! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f3292,plain,
( spl0_174
| ~ spl0_53
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f503,f488,f373,f3290]) ).
fof(f3290,plain,
( spl0_174
<=> ! [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_174])]) ).
fof(f503,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(not(X0),X3))) )
| ~ spl0_53
| ~ spl0_60 ),
inference(resolution,[],[f489,f374]) ).
fof(f3288,plain,
( spl0_173
| ~ spl0_52
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f473,f452,f338,f3286]) ).
fof(f3286,plain,
( spl0_173
<=> ! [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_173])]) ).
fof(f473,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(or(X1,X1),X2))),or(X0,X2)),X1))
| ~ spl0_52
| ~ spl0_56 ),
inference(resolution,[],[f453,f339]) ).
fof(f3284,plain,
( spl0_172
| ~ spl0_14
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f438,f427,f80,f3282]) ).
fof(f3282,plain,
( spl0_172
<=> ! [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_172])]) ).
fof(f438,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(or(X2,X1),not(or(X2,X0)))))
| ~ spl0_14
| ~ spl0_55 ),
inference(resolution,[],[f428,f81]) ).
fof(f3280,plain,
( spl0_171
| ~ spl0_36
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f435,f427,f242,f3278]) ).
fof(f3278,plain,
( spl0_171
<=> ! [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_171])]) ).
fof(f435,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(or(X0,X2),not(or(not(X1),X2)))))
| ~ spl0_36
| ~ spl0_55 ),
inference(resolution,[],[f428,f243]) ).
fof(f3276,plain,
( spl0_170
| ~ spl0_19
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f386,f373,f117,f3274]) ).
fof(f3274,plain,
( spl0_170
<=> ! [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_170])]) ).
fof(f386,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,X3))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_19
| ~ spl0_53 ),
inference(resolution,[],[f374,f118]) ).
fof(f3272,plain,
( spl0_169
| ~ spl0_33
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f345,f330,f224,f3270]) ).
fof(f3270,plain,
( spl0_169
<=> ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f330,plain,
( spl0_50
<=> ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f345,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(X0,X1))))
| ~ theorem(or(not(X1),not(or(X0,X1)))) )
| ~ spl0_33
| ~ spl0_50 ),
inference(resolution,[],[f331,f225]) ).
fof(f331,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f3268,plain,
( ~ spl0_168
| spl0_18
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f3226,f2701,f112,f3265]) ).
fof(f112,plain,
( spl0_18
<=> theorem(or(not(or(q,p)),or(p,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f3226,plain,
( ~ theorem(or(not(q),r))
| spl0_18
| ~ spl0_165 ),
inference(resolution,[],[f2702,f114]) ).
fof(f114,plain,
( ~ theorem(or(not(or(q,p)),or(p,r)))
| spl0_18 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f3012,plain,
( ~ spl0_167
| spl0_1
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f2793,f2620,f18,f3009]) ).
fof(f2620,plain,
( spl0_145
<=> ! [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_145])]) ).
fof(f2793,plain,
( ~ theorem(or(p,or(not(or(q,p)),r)))
| spl0_1
| ~ spl0_145 ),
inference(resolution,[],[f2621,f20]) ).
fof(f2621,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f2620]) ).
fof(f2707,plain,
( spl0_166
| ~ spl0_26
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f656,f639,f163,f2705]) ).
fof(f2705,plain,
( spl0_166
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f656,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,X0)),X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_26
| ~ spl0_70 ),
inference(resolution,[],[f640,f164]) ).
fof(f2703,plain,
( spl0_165
| ~ spl0_11
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f644,f639,f66,f2701]) ).
fof(f644,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X1,X2)))
| ~ theorem(or(not(X0),X2)) )
| ~ spl0_11
| ~ spl0_70 ),
inference(resolution,[],[f640,f67]) ).
fof(f2699,plain,
( spl0_164
| ~ spl0_27
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f629,f601,f171,f2697]) ).
fof(f2697,plain,
( spl0_164
<=> ! [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_164])]) ).
fof(f629,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X1,X3))) )
| ~ spl0_27
| ~ spl0_68 ),
inference(resolution,[],[f602,f172]) ).
fof(f2695,plain,
( spl0_163
| ~ spl0_6
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f591,f546,f41,f2693]) ).
fof(f2693,plain,
( spl0_163
<=> ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f591,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| ~ theorem(X2)
| theorem(X1)
| ~ theorem(or(not(X2),X0)) )
| ~ spl0_6
| ~ spl0_66 ),
inference(resolution,[],[f547,f42]) ).
fof(f2691,plain,
( spl0_162
| ~ spl0_11
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f565,f542,f66,f2689]) ).
fof(f565,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X0,or(X3,or(X2,X1)))) )
| ~ spl0_11
| ~ spl0_65 ),
inference(resolution,[],[f543,f67]) ).
fof(f2687,plain,
( spl0_161
| ~ spl0_6
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f555,f538,f41,f2685]) ).
fof(f2685,plain,
( spl0_161
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f555,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(or(not(X0),X1),or(not(X0),X1))) )
| ~ spl0_6
| ~ spl0_64 ),
inference(resolution,[],[f539,f42]) ).
fof(f2683,plain,
( ~ spl0_160
| spl0_1
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1995,f1877,f18,f2680]) ).
fof(f2680,plain,
( spl0_160
<=> theorem(not(or(r,not(q)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1877,plain,
( spl0_114
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1995,plain,
( ~ theorem(not(or(r,not(q))))
| spl0_1
| ~ spl0_114 ),
inference(resolution,[],[f1878,f20]) ).
fof(f1878,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f2678,plain,
( spl0_159
| ~ spl0_16
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f536,f500,f92,f2676]) ).
fof(f2676,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X0,X2),not(or(not(X1),X2)))) )
| ~ spl0_16
| ~ spl0_63 ),
inference(resolution,[],[f501,f93]) ).
fof(f2674,plain,
( spl0_158
| ~ spl0_17
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f533,f500,f102,f2672]) ).
fof(f2672,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f533,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(not(or(not(X1),X2)),X2))) )
| ~ spl0_17
| ~ spl0_63 ),
inference(resolution,[],[f501,f103]) ).
fof(f2670,plain,
( spl0_157
| ~ spl0_55
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f532,f500,f427,f2668]) ).
fof(f2668,plain,
( spl0_157
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f532,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X2)),or(X2,X0))) )
| ~ spl0_55
| ~ spl0_63 ),
inference(resolution,[],[f501,f428]) ).
fof(f2666,plain,
( spl0_156
| ~ spl0_16
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f515,f492,f92,f2664]) ).
fof(f2664,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f515,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(not(or(X2,not(X1))),X2),X0)) )
| ~ spl0_16
| ~ spl0_61 ),
inference(resolution,[],[f493,f93]) ).
fof(f2662,plain,
( spl0_155
| ~ spl0_17
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f512,f492,f102,f2660]) ).
fof(f2660,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f512,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(X2,not(X1))),or(X0,X2))) )
| ~ spl0_17
| ~ spl0_61 ),
inference(resolution,[],[f493,f103]) ).
fof(f2658,plain,
( spl0_154
| ~ spl0_55
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f511,f492,f427,f2656]) ).
fof(f2656,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f511,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,not(or(X2,not(X1)))))) )
| ~ spl0_55
| ~ spl0_61 ),
inference(resolution,[],[f493,f428]) ).
fof(f2654,plain,
( spl0_153
| ~ spl0_16
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f510,f488,f92,f2652]) ).
fof(f2652,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f510,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X1,X2),not(or(X1,or(not(X0),X2))))) )
| ~ spl0_16
| ~ spl0_60 ),
inference(resolution,[],[f489,f93]) ).
fof(f2650,plain,
( spl0_152
| ~ spl0_17
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f507,f488,f102,f2648]) ).
fof(f2648,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f507,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(X1,or(not(X0),X2))),X2))) )
| ~ spl0_17
| ~ spl0_60 ),
inference(resolution,[],[f489,f103]) ).
fof(f2646,plain,
( spl0_151
| ~ spl0_55
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f506,f488,f427,f2644]) ).
fof(f2644,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X2))),or(X2,X1))) )
| ~ spl0_55
| ~ spl0_60 ),
inference(resolution,[],[f489,f428]) ).
fof(f2642,plain,
( spl0_150
| ~ spl0_6
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f486,f460,f41,f2640]) ).
fof(f2640,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f486,plain,
( ! [X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(not(or(not(X1),not(X1))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_58 ),
inference(resolution,[],[f461,f42]) ).
fof(f2638,plain,
( spl0_149
| ~ spl0_51
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f450,f427,f334,f2636]) ).
fof(f2636,plain,
( spl0_149
<=> ! [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_149])]) ).
fof(f450,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),or(X2,X3)))
| ~ theorem(or(or(X3,X2),X1)) )
| ~ spl0_51
| ~ spl0_55 ),
inference(resolution,[],[f428,f335]) ).
fof(f2634,plain,
( spl0_148
| ~ spl0_32
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f443,f427,f220,f2632]) ).
fof(f2632,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f443,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,not(or(X0,X2)))))
| ~ theorem(or(not(X2),X1)) )
| ~ spl0_32
| ~ spl0_55 ),
inference(resolution,[],[f428,f221]) ).
fof(f2630,plain,
( spl0_147
| ~ spl0_49
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f437,f427,f326,f2628]) ).
fof(f2628,plain,
( spl0_147
<=> ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f437,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(or(X0,X1),not(X2))),or(X1,X0)))
| ~ theorem(X2) )
| ~ spl0_49
| ~ spl0_55 ),
inference(resolution,[],[f428,f327]) ).
fof(f2626,plain,
( spl0_146
| ~ spl0_19
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f434,f427,f117,f2624]) ).
fof(f2624,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f434,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X2,X0)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_19
| ~ spl0_55 ),
inference(resolution,[],[f428,f118]) ).
fof(f2622,plain,
( spl0_145
| ~ spl0_12
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f385,f373,f71,f2620]) ).
fof(f385,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X2,or(X1,X3))) )
| ~ spl0_12
| ~ spl0_53 ),
inference(resolution,[],[f374,f72]) ).
fof(f2618,plain,
( spl0_144
| ~ spl0_17
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f356,f334,f102,f2616]) ).
fof(f2616,plain,
( spl0_144
<=> ! [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_144])]) ).
fof(f356,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(or(X0,X1),X2))
| theorem(or(X0,or(or(X3,X2),X1))) )
| ~ spl0_17
| ~ spl0_51 ),
inference(resolution,[],[f335,f103]) ).
fof(f2614,plain,
( spl0_143
| ~ spl0_27
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f352,f330,f171,f2612]) ).
fof(f2612,plain,
( spl0_143
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f352,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(or(X0,or(X1,X2)),X2)) )
| ~ spl0_27
| ~ spl0_50 ),
inference(resolution,[],[f331,f172]) ).
fof(f2610,plain,
( spl0_142
| ~ spl0_17
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f344,f326,f102,f2608]) ).
fof(f2608,plain,
( spl0_142
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f344,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2))) )
| ~ spl0_17
| ~ spl0_49 ),
inference(resolution,[],[f327,f103]) ).
fof(f2578,plain,
( ~ spl0_141
| spl0_18
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1997,f1877,f112,f2575]) ).
fof(f2575,plain,
( spl0_141
<=> theorem(not(or(p,q))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1997,plain,
( ~ theorem(not(or(p,q)))
| spl0_18
| ~ spl0_114 ),
inference(resolution,[],[f1878,f114]) ).
fof(f2189,plain,
( spl0_140
| ~ spl0_26
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f624,f601,f163,f2187]) ).
fof(f2187,plain,
( spl0_140
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f624,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(or(X1,X2),X0)),X2))))
| ~ spl0_26
| ~ spl0_68 ),
inference(resolution,[],[f602,f164]) ).
fof(f2185,plain,
( spl0_139
| ~ spl0_29
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f622,f601,f185,f2183]) ).
fof(f2183,plain,
( spl0_139
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f622,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,or(X0,X2))),X2))))
| ~ spl0_29
| ~ spl0_68 ),
inference(resolution,[],[f602,f186]) ).
fof(f2181,plain,
( spl0_138
| ~ spl0_11
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f611,f601,f66,f2179]) ).
fof(f2179,plain,
( spl0_138
<=> ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f611,plain,
( ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1))))
| ~ spl0_11
| ~ spl0_68 ),
inference(resolution,[],[f602,f67]) ).
fof(f2177,plain,
( spl0_137
| ~ spl0_6
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f505,f488,f41,f2175]) ).
fof(f2175,plain,
( spl0_137
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f505,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(not(X0),X2))) )
| ~ spl0_6
| ~ spl0_60 ),
inference(resolution,[],[f489,f42]) ).
fof(f2173,plain,
( spl0_136
| ~ spl0_16
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f482,f460,f92,f2171]) ).
fof(f2171,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f482,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),not(X1))),X0)) )
| ~ spl0_16
| ~ spl0_58 ),
inference(resolution,[],[f461,f93]) ).
fof(f2167,plain,
( spl0_135
| ~ spl0_48
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f449,f427,f319,f2165]) ).
fof(f2165,plain,
( spl0_135
<=> ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f449,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),X0),or(X2,X1)))
| ~ spl0_48
| ~ spl0_55 ),
inference(resolution,[],[f428,f320]) ).
fof(f2163,plain,
( spl0_134
| ~ spl0_29
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f442,f427,f185,f2161]) ).
fof(f2161,plain,
( spl0_134
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f442,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(or(X1,or(X0,X2))))))
| ~ spl0_29
| ~ spl0_55 ),
inference(resolution,[],[f428,f186]) ).
fof(f2159,plain,
( spl0_133
| ~ spl0_30
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f441,f427,f189,f2157]) ).
fof(f2157,plain,
( spl0_133
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f441,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(or(X0,X1),or(X0,X1))))))
| ~ spl0_30
| ~ spl0_55 ),
inference(resolution,[],[f428,f190]) ).
fof(f2155,plain,
( spl0_132
| ~ spl0_10
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f436,f427,f60,f2153]) ).
fof(f2153,plain,
( spl0_132
<=> ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f436,plain,
( ! [X0,X1] : theorem(or(not(or(or(X0,X1),or(X0,X1))),or(X1,X0)))
| ~ spl0_10
| ~ spl0_55 ),
inference(resolution,[],[f428,f61]) ).
fof(f2151,plain,
( spl0_131
| ~ spl0_12
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f433,f427,f71,f2149]) ).
fof(f2149,plain,
( spl0_131
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f433,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(or(X0,X2),X1)))
| ~ spl0_12
| ~ spl0_55 ),
inference(resolution,[],[f428,f72]) ).
fof(f2147,plain,
( spl0_130
| ~ spl0_51
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f425,f377,f334,f2145]) ).
fof(f2145,plain,
( spl0_130
<=> ! [X0,X3,X2,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f425,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(X3))
| ~ theorem(or(X3,X1)) )
| ~ spl0_51
| ~ spl0_54 ),
inference(resolution,[],[f378,f335]) ).
fof(f2143,plain,
( spl0_129
| ~ spl0_27
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f417,f377,f171,f2141]) ).
fof(f2141,plain,
( spl0_129
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f417,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(or(X0,X3)) )
| ~ spl0_27
| ~ spl0_54 ),
inference(resolution,[],[f378,f172]) ).
fof(f2139,plain,
( spl0_128
| ~ spl0_49
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f402,f377,f326,f2137]) ).
fof(f2137,plain,
( spl0_128
<=> ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f402,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,not(X1))),X2))
| ~ theorem(not(X0))
| ~ theorem(X1) )
| ~ spl0_49
| ~ spl0_54 ),
inference(resolution,[],[f378,f327]) ).
fof(f2135,plain,
( spl0_127
| ~ spl0_27
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f398,f373,f171,f2133]) ).
fof(f2133,plain,
( spl0_127
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f398,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X3)
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_27
| ~ spl0_53 ),
inference(resolution,[],[f374,f172]) ).
fof(f2131,plain,
( spl0_126
| ~ spl0_12
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f360,f338,f71,f2129]) ).
fof(f2129,plain,
( spl0_126
<=> ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f360,plain,
( ! [X0,X1] : theorem(or(not(or(X0,or(or(X0,X1),X1))),or(X0,X1)))
| ~ spl0_12
| ~ spl0_52 ),
inference(resolution,[],[f339,f72]) ).
fof(f2127,plain,
( ~ spl0_125
| spl0_59
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2043,f1902,f464,f2124]) ).
fof(f2124,plain,
( spl0_125
<=> theorem(or(r,q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f464,plain,
( spl0_59
<=> theorem(or(not(or(not(q),r)),r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f1902,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2043,plain,
( ~ theorem(or(r,q))
| spl0_59
| ~ spl0_119 ),
inference(resolution,[],[f1903,f466]) ).
fof(f466,plain,
( ~ theorem(or(not(or(not(q),r)),r))
| spl0_59 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f1903,plain,
( ! [X0,X1] :
( theorem(or(not(or(not(X1),X0)),X0))
| ~ theorem(or(X0,X1)) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f2122,plain,
( spl0_124
| ~ spl0_31
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f341,f326,f195,f2120]) ).
fof(f2120,plain,
( spl0_124
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f341,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,not(X0)))) )
| ~ spl0_31
| ~ spl0_49 ),
inference(resolution,[],[f327,f196]) ).
fof(f2118,plain,
( spl0_123
| ~ spl0_17
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f324,f319,f102,f2116]) ).
fof(f2116,plain,
( spl0_123
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f324,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2)))
| ~ spl0_17
| ~ spl0_48 ),
inference(resolution,[],[f320,f103]) ).
fof(f1994,plain,
( ~ spl0_122
| ~ spl0_96
| spl0_109 ),
inference(avatar_split_clause,[],[f1884,f1792,f966,f1991]) ).
fof(f1991,plain,
( spl0_122
<=> theorem(not(not(r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f966,plain,
( spl0_96
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1792,plain,
( spl0_109
<=> theorem(or(or(p,r),not(or(q,p)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1884,plain,
( ~ theorem(not(not(r)))
| ~ spl0_96
| spl0_109 ),
inference(resolution,[],[f1794,f967]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f1794,plain,
( ~ theorem(or(or(p,r),not(or(q,p))))
| spl0_109 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f1912,plain,
( spl0_121
| ~ spl0_10
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f563,f542,f60,f1910]) ).
fof(f1910,plain,
( spl0_121
<=> ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f563,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X1)))
| theorem(or(X0,or(X2,X1))) )
| ~ spl0_10
| ~ spl0_65 ),
inference(resolution,[],[f543,f61]) ).
fof(f1908,plain,
( spl0_120
| ~ spl0_7
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f561,f542,f46,f1906]) ).
fof(f1906,plain,
( spl0_120
<=> ! [X0,X3,X2,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f46,plain,
( spl0_7
<=> ! [X0,X1] : theorem(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f561,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X0,or(X2,or(X3,X1)))) )
| ~ spl0_7
| ~ spl0_65 ),
inference(resolution,[],[f543,f47]) ).
fof(f47,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f1904,plain,
( spl0_119
| ~ spl0_52
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f534,f500,f338,f1902]) ).
fof(f534,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(not(or(not(X1),X0)),X0)) )
| ~ spl0_52
| ~ spl0_63 ),
inference(resolution,[],[f501,f339]) ).
fof(f1900,plain,
( spl0_118
| ~ spl0_52
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f508,f488,f338,f1898]) ).
fof(f1898,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f508,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(not(or(X1,or(not(X0),X1))),X1)) )
| ~ spl0_52
| ~ spl0_60 ),
inference(resolution,[],[f489,f339]) ).
fof(f1896,plain,
( spl0_117
| ~ spl0_48
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f424,f377,f319,f1894]) ).
fof(f1894,plain,
( spl0_117
<=> ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f424,plain,
( ! [X2,X0,X1] :
( theorem(or(or(not(or(X0,X1)),X0),X2))
| ~ theorem(not(X1)) )
| ~ spl0_48
| ~ spl0_54 ),
inference(resolution,[],[f378,f320]) ).
fof(f1892,plain,
( spl0_116
| ~ spl0_25
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f419,f377,f159,f1890]) ).
fof(f1890,plain,
( spl0_116
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f159,plain,
( spl0_25
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f419,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(or(X1,X0)))) )
| ~ spl0_25
| ~ spl0_54 ),
inference(resolution,[],[f378,f160]) ).
fof(f160,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f1883,plain,
( spl0_115
| ~ spl0_26
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f412,f377,f163,f1881]) ).
fof(f1881,plain,
( spl0_115
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f412,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(or(X2,X0)),X2))) )
| ~ spl0_26
| ~ spl0_54 ),
inference(resolution,[],[f378,f164]) ).
fof(f1879,plain,
( spl0_114
| ~ spl0_11
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f403,f377,f66,f1877]) ).
fof(f403,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),X2))
| ~ theorem(not(or(X1,X0))) )
| ~ spl0_11
| ~ spl0_54 ),
inference(resolution,[],[f378,f67]) ).
fof(f1875,plain,
( spl0_113
| ~ spl0_26
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f393,f373,f163,f1873]) ).
fof(f1873,plain,
( spl0_113
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(X2) )
| ~ spl0_26
| ~ spl0_53 ),
inference(resolution,[],[f374,f164]) ).
fof(f1871,plain,
( spl0_112
| ~ spl0_51
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f371,f338,f334,f1869]) ).
fof(f1869,plain,
( spl0_112
<=> ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(or(or(X2,X2),X1)) )
| ~ spl0_51
| ~ spl0_52 ),
inference(resolution,[],[f339,f335]) ).
fof(f1867,plain,
( spl0_111
| ~ spl0_49
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f363,f338,f326,f1865]) ).
fof(f1865,plain,
( spl0_111
<=> ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f363,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(X0,X0),not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_49
| ~ spl0_52 ),
inference(resolution,[],[f339,f327]) ).
fof(f1863,plain,
( spl0_110
| ~ spl0_19
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f361,f338,f117,f1861]) ).
fof(f1861,plain,
( spl0_110
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f361,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X1)),X0))
| ~ theorem(or(not(X1),X0)) )
| ~ spl0_19
| ~ spl0_52 ),
inference(resolution,[],[f339,f118]) ).
fof(f1795,plain,
( ~ spl0_109
| spl0_1
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f994,f939,f18,f1792]) ).
fof(f994,plain,
( ~ theorem(or(or(p,r),not(or(q,p))))
| spl0_1
| ~ spl0_89 ),
inference(resolution,[],[f940,f20]) ).
fof(f1769,plain,
( spl0_108
| ~ spl0_23
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f623,f601,f143,f1767]) ).
fof(f1767,plain,
( spl0_108
<=> ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f143,plain,
( spl0_23
<=> ! [X0,X1] : theorem(or(X0,or(not(X1),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f623,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(X1,or(not(or(X1,X2)),X2))))
| ~ spl0_23
| ~ spl0_68 ),
inference(resolution,[],[f602,f144]) ).
fof(f144,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f1765,plain,
( spl0_107
| ~ spl0_7
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f609,f601,f46,f1763]) ).
fof(f1763,plain,
( spl0_107
<=> ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f609,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X2,X1))))
| ~ spl0_7
| ~ spl0_68 ),
inference(resolution,[],[f602,f47]) ).
fof(f1572,plain,
( ~ spl0_106
| spl0_40
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1044,f970,f268,f1569]) ).
fof(f1569,plain,
( spl0_106
<=> theorem(or(not(or(not(q),r)),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f268,plain,
( spl0_40
<=> theorem(or(not(or(not(q),r)),or(p,r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1044,plain,
( ~ theorem(or(not(or(not(q),r)),p))
| spl0_40
| ~ spl0_97 ),
inference(resolution,[],[f971,f270]) ).
fof(f270,plain,
( ~ theorem(or(not(or(not(q),r)),or(p,r)))
| spl0_40 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f1344,plain,
( ~ spl0_105
| spl0_18
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1045,f970,f112,f1341]) ).
fof(f1341,plain,
( spl0_105
<=> theorem(or(not(or(q,p)),p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1045,plain,
( ~ theorem(or(not(or(q,p)),p))
| spl0_18
| ~ spl0_97 ),
inference(resolution,[],[f971,f114]) ).
fof(f1102,plain,
( spl0_1
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1087,plain,
( $false
| spl0_1
| ~ spl0_95 ),
inference(resolution,[],[f963,f20]) ).
fof(f963,plain,
( ! [X0,X1] : theorem(or(X0,X1))
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f962,plain,
( spl0_95
<=> ! [X0,X1] : theorem(or(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1101,plain,
( spl0_40
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
fof(f1088,plain,
( $false
| spl0_40
| ~ spl0_95 ),
inference(resolution,[],[f963,f270]) ).
fof(f1100,plain,
( spl0_18
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1089,plain,
( $false
| spl0_18
| ~ spl0_95 ),
inference(resolution,[],[f963,f114]) ).
fof(f1099,plain,
( spl0_39
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1090,plain,
( $false
| spl0_39
| ~ spl0_95 ),
inference(resolution,[],[f963,f263]) ).
fof(f263,plain,
( ~ theorem(or(not(or(q,p)),r))
| spl0_39 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl0_39
<=> theorem(or(not(or(q,p)),r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1098,plain,
( spl0_59
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1091,plain,
( $false
| spl0_59
| ~ spl0_95 ),
inference(resolution,[],[f963,f466]) ).
fof(f1097,plain,
( spl0_24
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1094]) ).
fof(f1094,plain,
( $false
| spl0_24
| ~ spl0_95 ),
inference(resolution,[],[f963,f152]) ).
fof(f152,plain,
( ~ theorem(or(p,r))
| spl0_24 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl0_24
<=> theorem(or(p,r)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1096,plain,
( spl0_69
| ~ spl0_95 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| spl0_69
| ~ spl0_95 ),
inference(resolution,[],[f963,f607]) ).
fof(f607,plain,
( ~ theorem(or(p,q))
| spl0_69 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f605,plain,
( spl0_69
<=> theorem(or(p,q)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f1084,plain,
( spl0_104
| spl0_95
| ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f416,f377,f303,f962,f1082]) ).
fof(f1082,plain,
( spl0_104
<=> ! [X2,X3] :
( ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f303,plain,
( spl0_46
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f416,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(X2,X3)))
| ~ theorem(X2) )
| ~ spl0_46
| ~ spl0_54 ),
inference(resolution,[],[f378,f304]) ).
fof(f304,plain,
( ! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(X0) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f1080,plain,
( spl0_103
| ~ spl0_22
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f391,f373,f139,f1078]) ).
fof(f1078,plain,
( spl0_103
<=> ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f391,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(X1) )
| ~ spl0_22
| ~ spl0_53 ),
inference(resolution,[],[f374,f140]) ).
fof(f1076,plain,
( spl0_102
| ~ spl0_49
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f383,f373,f326,f1074]) ).
fof(f1074,plain,
( spl0_102
<=> ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f383,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,not(X2)))
| ~ theorem(X2) )
| ~ spl0_49
| ~ spl0_53 ),
inference(resolution,[],[f374,f327]) ).
fof(f1072,plain,
( spl0_101
| ~ spl0_48
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f370,f338,f319,f1070]) ).
fof(f1070,plain,
( spl0_101
<=> ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f370,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,or(X1,X1))),X0),X1))
| ~ spl0_48
| ~ spl0_52 ),
inference(resolution,[],[f339,f320]) ).
fof(f1068,plain,
( spl0_100
| ~ spl0_10
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f362,f338,f60,f1066]) ).
fof(f1066,plain,
( spl0_100
<=> ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f362,plain,
( ! [X0] : theorem(or(not(or(or(X0,X0),or(X0,X0))),X0))
| ~ spl0_10
| ~ spl0_52 ),
inference(resolution,[],[f339,f61]) ).
fof(f1021,plain,
( ~ spl0_99
| spl0_40
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f995,f939,f268,f1018]) ).
fof(f1018,plain,
( spl0_99
<=> theorem(or(r,p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f995,plain,
( ~ theorem(or(r,p))
| spl0_40
| ~ spl0_89 ),
inference(resolution,[],[f940,f270]) ).
fof(f976,plain,
( spl0_98
| ~ spl0_46
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f628,f601,f303,f974]) ).
fof(f974,plain,
( spl0_98
<=> ! [X0,X3,X2,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f628,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(X2) )
| ~ spl0_46
| ~ spl0_68 ),
inference(resolution,[],[f602,f304]) ).
fof(f972,plain,
( spl0_97
| ~ spl0_27
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f445,f427,f171,f970]) ).
fof(f445,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_27
| ~ spl0_55 ),
inference(resolution,[],[f428,f172]) ).
fof(f968,plain,
( spl0_96
| ~ spl0_21
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f418,f377,f135,f966]) ).
fof(f135,plain,
( spl0_21
<=> ! [X0,X1] : theorem(or(or(X0,X1),not(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f418,plain,
( ! [X2,X0,X1] :
( theorem(or(or(X0,X1),X2))
| ~ theorem(not(not(X1))) )
| ~ spl0_21
| ~ spl0_54 ),
inference(resolution,[],[f378,f136]) ).
fof(f136,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f964,plain,
( spl0_94
| spl0_95
| ~ spl0_23
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f411,f377,f143,f962,f959]) ).
fof(f959,plain,
( spl0_94
<=> ! [X2] : ~ theorem(not(or(not(X2),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f411,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(or(not(X2),X2))) )
| ~ spl0_23
| ~ spl0_54 ),
inference(resolution,[],[f378,f144]) ).
fof(f957,plain,
( spl0_93
| ~ spl0_6
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f763,f755,f41,f955]) ).
fof(f955,plain,
( spl0_93
<=> ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f755,plain,
( spl0_76
<=> ! [X0] : theorem(or(X0,not(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f763,plain,
( ! [X0] :
( theorem(not(not(X0)))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_76 ),
inference(resolution,[],[f756,f42]) ).
fof(f756,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f953,plain,
( spl0_92
| ~ spl0_22
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f410,f377,f139,f951]) ).
fof(f951,plain,
( spl0_92
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f410,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(not(not(or(X0,X0)))) )
| ~ spl0_22
| ~ spl0_54 ),
inference(resolution,[],[f378,f140]) ).
fof(f949,plain,
( spl0_91
| ~ spl0_10
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f401,f377,f60,f947]) ).
fof(f947,plain,
( spl0_91
<=> ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f401,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,X0)),X1))
| ~ theorem(not(X0)) )
| ~ spl0_10
| ~ spl0_54 ),
inference(resolution,[],[f378,f61]) ).
fof(f945,plain,
( spl0_90
| ~ spl0_7
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f399,f377,f46,f943]) ).
fof(f943,plain,
( spl0_90
<=> ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f399,plain,
( ! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(not(or(X2,X0))) )
| ~ spl0_7
| ~ spl0_54 ),
inference(resolution,[],[f378,f47]) ).
fof(f941,plain,
( spl0_89
| ~ spl0_11
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f384,f373,f66,f939]) ).
fof(f384,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X2,X1)) )
| ~ spl0_11
| ~ spl0_53 ),
inference(resolution,[],[f374,f67]) ).
fof(f937,plain,
( spl0_88
| ~ spl0_16
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f343,f326,f92,f935]) ).
fof(f935,plain,
( spl0_88
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f343,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,not(or(X1,not(X0))))) )
| ~ spl0_16
| ~ spl0_49 ),
inference(resolution,[],[f327,f93]) ).
fof(f877,plain,
( spl0_87
| ~ spl0_26
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f440,f427,f163,f875]) ).
fof(f875,plain,
( spl0_87
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f440,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0)))))
| ~ spl0_26
| ~ spl0_55 ),
inference(resolution,[],[f428,f164]) ).
fof(f873,plain,
( spl0_86
| ~ spl0_6
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f342,f326,f41,f871]) ).
fof(f871,plain,
( spl0_86
<=> ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f342,plain,
( ! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(or(X1,not(X0))) )
| ~ spl0_6
| ~ spl0_49 ),
inference(resolution,[],[f327,f42]) ).
fof(f869,plain,
( spl0_85
| ~ spl0_17
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f301,f296,f102,f867]) ).
fof(f867,plain,
( spl0_85
<=> ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f296,plain,
( spl0_45
<=> ! [X0,X1] : theorem(or(or(not(X0),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f301,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(or(not(X1),X1),X2)))
| ~ spl0_17
| ~ spl0_45 ),
inference(resolution,[],[f297,f103]) ).
fof(f297,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f865,plain,
( spl0_84
| ~ spl0_17
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f287,f281,f102,f863]) ).
fof(f863,plain,
( spl0_84
<=> ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f281,plain,
( spl0_42
<=> ! [X0] : theorem(or(not(X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f287,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X0,X1)),X1)))
| ~ spl0_17
| ~ spl0_42 ),
inference(resolution,[],[f282,f103]) ).
fof(f282,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f814,plain,
( spl0_83
| ~ spl0_7
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f380,f373,f46,f812]) ).
fof(f812,plain,
( spl0_83
<=> ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f380,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(X2) )
| ~ spl0_7
| ~ spl0_53 ),
inference(resolution,[],[f374,f47]) ).
fof(f810,plain,
( spl0_82
| ~ spl0_50
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f353,f334,f330,f808]) ).
fof(f808,plain,
( spl0_82
<=> ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f353,plain,
( ! [X0,X1] :
( ~ theorem(or(X0,X0))
| theorem(or(X1,X0)) )
| ~ spl0_50
| ~ spl0_51 ),
inference(resolution,[],[f335,f331]) ).
fof(f806,plain,
( spl0_81
| ~ spl0_44
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f322,f315,f292,f804]) ).
fof(f804,plain,
( spl0_81
<=> ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f292,plain,
( spl0_44
<=> ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f315,plain,
( spl0_47
<=> ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f322,plain,
( ! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),not(X0))) )
| ~ spl0_44
| ~ spl0_47 ),
inference(resolution,[],[f316,f293]) ).
fof(f293,plain,
( ! [X0] :
( ~ theorem(not(X0))
| ~ theorem(X0) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f316,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f802,plain,
( ~ spl0_80
| ~ spl0_13
| spl0_69 ),
inference(avatar_split_clause,[],[f724,f605,f75,f799]) ).
fof(f799,plain,
( spl0_80
<=> theorem(q) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f75,plain,
( spl0_13
<=> ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f724,plain,
( ~ theorem(q)
| ~ spl0_13
| spl0_69 ),
inference(resolution,[],[f607,f76]) ).
fof(f76,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f797,plain,
( spl0_79
| ~ spl0_16
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f313,f303,f92,f795]) ).
fof(f795,plain,
( spl0_79
<=> ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f313,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(or(X0,X1),X2)) )
| ~ spl0_16
| ~ spl0_46 ),
inference(resolution,[],[f304,f93]) ).
fof(f771,plain,
( spl0_78
| ~ spl0_23
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f439,f427,f143,f769]) ).
fof(f769,plain,
( spl0_78
<=> ! [X0,X1] : theorem(or(X0,or(X1,not(X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f439,plain,
( ! [X0,X1] : theorem(or(X0,or(X1,not(X1))))
| ~ spl0_23
| ~ spl0_55 ),
inference(resolution,[],[f428,f144]) ).
fof(f767,plain,
( spl0_77
| ~ spl0_7
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f430,f427,f46,f765]) ).
fof(f765,plain,
( spl0_77
<=> ! [X0,X1] : theorem(or(not(X0),or(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f430,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X0,X1)))
| ~ spl0_7
| ~ spl0_55 ),
inference(resolution,[],[f428,f47]) ).
fof(f757,plain,
( spl0_76
| ~ spl0_16
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f286,f281,f92,f755]) ).
fof(f286,plain,
( ! [X0] : theorem(or(X0,not(X0)))
| ~ spl0_16
| ~ spl0_42 ),
inference(resolution,[],[f282,f93]) ).
fof(f728,plain,
( spl0_75
| ~ spl0_31
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f227,f220,f195,f726]) ).
fof(f726,plain,
( spl0_75
<=> ! [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_75])]) ).
fof(f227,plain,
( ! [X2,X3,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(not(X3),X0)),X1)))
| ~ theorem(or(X2,X3)) )
| ~ spl0_31
| ~ spl0_32 ),
inference(resolution,[],[f221,f196]) ).
fof(f722,plain,
( spl0_74
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f216,f195,f189,f720]) ).
fof(f720,plain,
( spl0_74
<=> ! [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_74])]) ).
fof(f216,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(or(not(X1),X2),or(not(X1),X2))),X2)))
| ~ theorem(or(X0,X1)) )
| ~ spl0_30
| ~ spl0_31 ),
inference(resolution,[],[f196,f190]) ).
fof(f682,plain,
( spl0_73
| ~ spl0_31
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f246,f242,f195,f680]) ).
fof(f246,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(not(X1),X2)),or(X3,X2))))
| ~ theorem(or(X0,or(X3,X1))) )
| ~ spl0_31
| ~ spl0_36 ),
inference(resolution,[],[f243,f196]) ).
fof(f678,plain,
( spl0_72
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f217,f195,f185,f676]) ).
fof(f217,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,or(not(X2),X3))),or(X1,X3))))
| ~ theorem(or(X0,X2)) )
| ~ spl0_29
| ~ spl0_31 ),
inference(resolution,[],[f196,f186]) ).
fof(f674,plain,
( spl0_71
| ~ spl0_14
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f210,f195,f80,f672]) ).
fof(f210,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(not(or(X1,X2)),or(X1,X3))))
| ~ theorem(or(X0,or(not(X2),X3))) )
| ~ spl0_14
| ~ spl0_31 ),
inference(resolution,[],[f196,f81]) ).
fof(f641,plain,
( spl0_70
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f209,f195,f117,f639]) ).
fof(f209,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X1,X3)))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_19
| ~ spl0_31 ),
inference(resolution,[],[f196,f118]) ).
fof(f608,plain,
( ~ spl0_69
| spl0_40
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f528,f500,f268,f605]) ).
fof(f528,plain,
( ~ theorem(or(p,q))
| spl0_40
| ~ spl0_63 ),
inference(resolution,[],[f501,f270]) ).
fof(f603,plain,
( spl0_68
| ~ spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f208,f195,f71,f601]) ).
fof(f208,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,or(X2,X3))))
| ~ theorem(or(X0,or(X2,or(X1,X3)))) )
| ~ spl0_12
| ~ spl0_31 ),
inference(resolution,[],[f196,f72]) ).
fof(f552,plain,
( spl0_67
| ~ spl0_16
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f249,f242,f92,f550]) ).
fof(f249,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(not(X0),X1)),or(X2,X1)),not(or(X2,X0))))
| ~ spl0_16
| ~ spl0_36 ),
inference(resolution,[],[f243,f93]) ).
fof(f548,plain,
( spl0_66
| ~ spl0_6
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f228,f220,f41,f546]) ).
fof(f228,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(X2) )
| ~ spl0_6
| ~ spl0_32 ),
inference(resolution,[],[f221,f42]) ).
fof(f544,plain,
( spl0_65
| ~ spl0_27
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f218,f195,f171,f542]) ).
fof(f218,plain,
( ! [X2,X3,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X3))
| ~ theorem(or(not(X3),X2)) )
| ~ spl0_27
| ~ spl0_31 ),
inference(resolution,[],[f196,f172]) ).
fof(f540,plain,
( spl0_64
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f202,f189,f41,f538]) ).
fof(f202,plain,
( ! [X0,X1] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_30 ),
inference(resolution,[],[f190,f42]) ).
fof(f502,plain,
( spl0_63
| ~ spl0_6
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f247,f242,f41,f500]) ).
fof(f247,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(not(X0),X1)),or(X2,X1)))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_36 ),
inference(resolution,[],[f243,f42]) ).
fof(f498,plain,
( spl0_62
| ~ spl0_16
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f230,f220,f92,f496]) ).
fof(f230,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(not(or(X2,X0)),X1),X2)) )
| ~ spl0_16
| ~ spl0_32 ),
inference(resolution,[],[f221,f93]) ).
fof(f494,plain,
( spl0_61
| ~ spl0_26
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f215,f195,f163,f492]) ).
fof(f215,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(not(or(X1,not(X2))),X1)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_26
| ~ spl0_31 ),
inference(resolution,[],[f196,f164]) ).
fof(f490,plain,
( spl0_60
| ~ spl0_6
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f199,f185,f41,f488]) ).
fof(f199,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,or(not(X1),X2))),or(X0,X2)))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_29 ),
inference(resolution,[],[f186,f42]) ).
fof(f467,plain,
( ~ spl0_59
| ~ spl0_27
| spl0_40 ),
inference(avatar_split_clause,[],[f277,f268,f171,f464]) ).
fof(f277,plain,
( ~ theorem(or(not(or(not(q),r)),r))
| ~ spl0_27
| spl0_40 ),
inference(resolution,[],[f270,f172]) ).
fof(f462,plain,
( spl0_58
| ~ spl0_22
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f213,f195,f139,f460]) ).
fof(f213,plain,
( ! [X0,X1] :
( theorem(or(X0,not(or(not(X1),not(X1)))))
| ~ theorem(or(X0,X1)) )
| ~ spl0_22
| ~ spl0_31 ),
inference(resolution,[],[f196,f140]) ).
fof(f458,plain,
( spl0_57
| ~ spl0_16
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f204,f189,f92,f456]) ).
fof(f204,plain,
( ! [X0,X1] : theorem(or(or(not(or(or(X0,X1),or(X0,X1))),X1),X0))
| ~ spl0_16
| ~ spl0_30 ),
inference(resolution,[],[f190,f93]) ).
fof(f454,plain,
( spl0_56
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f201,f185,f92,f452]) ).
fof(f201,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,or(X1,X2))),or(X0,X2)),X1))
| ~ spl0_16
| ~ spl0_29 ),
inference(resolution,[],[f186,f93]) ).
fof(f429,plain,
( spl0_55
| ~ spl0_11
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f207,f195,f66,f427]) ).
fof(f207,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,or(X2,X1))) )
| ~ spl0_11
| ~ spl0_31 ),
inference(resolution,[],[f196,f67]) ).
fof(f379,plain,
( spl0_54
| ~ spl0_20
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f211,f195,f125,f377]) ).
fof(f211,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,X2))
| ~ theorem(not(X2)) )
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[],[f196,f126]) ).
fof(f375,plain,
( spl0_53
| ~ spl0_6
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f176,f171,f41,f373]) ).
fof(f176,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_27 ),
inference(resolution,[],[f172,f42]) ).
fof(f340,plain,
( spl0_52
| ~ spl0_10
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f206,f195,f60,f338]) ).
fof(f206,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) )
| ~ spl0_10
| ~ spl0_31 ),
inference(resolution,[],[f196,f61]) ).
fof(f336,plain,
( spl0_51
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f179,f171,f92,f334]) ).
fof(f179,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(or(X2,X1),X0)) )
| ~ spl0_16
| ~ spl0_27 ),
inference(resolution,[],[f172,f93]) ).
fof(f332,plain,
( spl0_50
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f178,f171,f85,f330]) ).
fof(f178,plain,
( ! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) )
| ~ spl0_15
| ~ spl0_27 ),
inference(resolution,[],[f172,f86]) ).
fof(f328,plain,
( spl0_49
| ~ spl0_6
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f167,f163,f41,f326]) ).
fof(f167,plain,
( ! [X0,X1] :
( theorem(or(not(or(X0,not(X1))),X0))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_26 ),
inference(resolution,[],[f164,f42]) ).
fof(f321,plain,
( spl0_48
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f169,f163,f92,f319]) ).
fof(f169,plain,
( ! [X0,X1] : theorem(or(or(not(or(X0,X1)),X0),X1))
| ~ spl0_16
| ~ spl0_26 ),
inference(resolution,[],[f164,f93]) ).
fof(f317,plain,
( spl0_47
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f147,f139,f41,f315]) ).
fof(f147,plain,
( ! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f140,f42]) ).
fof(f305,plain,
( spl0_46
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f133,f125,f102,f303]) ).
fof(f133,plain,
( ! [X2,X0,X1] :
( ~ theorem(X0)
| theorem(or(X1,or(X0,X2))) )
| ~ spl0_17
| ~ spl0_20 ),
inference(resolution,[],[f126,f103]) ).
fof(f298,plain,
( spl0_45
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f157,f143,f92,f296]) ).
fof(f157,plain,
( ! [X0,X1] : theorem(or(or(not(X0),X0),X1))
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[],[f144,f93]) ).
fof(f294,plain,
( spl0_43
| spl0_44
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f130,f125,f41,f292,f289]) ).
fof(f289,plain,
( spl0_43
<=> ! [X1] : theorem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f130,plain,
( ! [X0,X1] :
( ~ theorem(not(X0))
| theorem(X1)
| ~ theorem(X0) )
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f126,f42]) ).
fof(f283,plain,
( spl0_42
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f156,f143,f85,f281]) ).
fof(f156,plain,
( ! [X0] : theorem(or(not(X0),X0))
| ~ spl0_15
| ~ spl0_23 ),
inference(resolution,[],[f144,f86]) ).
fof(f276,plain,
( ~ spl0_41
| ~ spl0_13
| spl0_24 ),
inference(avatar_split_clause,[],[f193,f150,f75,f273]) ).
fof(f273,plain,
( spl0_41
<=> theorem(r) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f193,plain,
( ~ theorem(r)
| ~ spl0_13
| spl0_24 ),
inference(resolution,[],[f152,f76]) ).
fof(f271,plain,
( ~ spl0_40
| spl0_1
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f174,f171,f18,f268]) ).
fof(f174,plain,
( ~ theorem(or(not(or(not(q),r)),or(p,r)))
| spl0_1
| ~ spl0_27 ),
inference(resolution,[],[f172,f20]) ).
fof(f264,plain,
( ~ spl0_39
| spl0_18
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f175,f171,f112,f261]) ).
fof(f175,plain,
( ~ theorem(or(not(or(q,p)),r))
| spl0_18
| ~ spl0_27 ),
inference(resolution,[],[f172,f114]) ).
fof(f259,plain,
( ~ spl0_38
| spl0_1
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f128,f125,f18,f256]) ).
fof(f256,plain,
( spl0_38
<=> theorem(not(or(not(q),r))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f128,plain,
( ~ theorem(not(or(not(q),r)))
| spl0_1
| ~ spl0_20 ),
inference(resolution,[],[f126,f20]) ).
fof(f254,plain,
( ~ spl0_37
| spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f129,f125,f112,f251]) ).
fof(f251,plain,
( spl0_37
<=> theorem(not(or(q,p))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f129,plain,
( ~ theorem(not(or(q,p)))
| spl0_18
| ~ spl0_20 ),
inference(resolution,[],[f126,f114]) ).
fof(f244,plain,
( spl0_36
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f109,f102,f80,f242]) ).
fof(f109,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2))))
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[],[f103,f81]) ).
fof(f240,plain,
( ~ spl0_35
| ~ spl0_20
| spl0_24 ),
inference(avatar_split_clause,[],[f192,f150,f125,f237]) ).
fof(f237,plain,
( spl0_35
<=> theorem(p) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f192,plain,
( ~ theorem(p)
| ~ spl0_20
| spl0_24 ),
inference(resolution,[],[f152,f126]) ).
fof(f235,plain,
( spl0_34
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f99,f92,f80,f233]) ).
fof(f99,plain,
( ! [X2,X0,X1] : theorem(or(or(not(or(X0,X1)),or(X0,X2)),not(or(not(X1),X2))))
| ~ spl0_14
| ~ spl0_16 ),
inference(resolution,[],[f93,f81]) ).
fof(f226,plain,
( spl0_33
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f122,f117,f92,f224]) ).
fof(f122,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(or(X2,X1),not(or(X2,X0)))) )
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[],[f118,f93]) ).
fof(f222,plain,
( spl0_32
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f121,f117,f102,f220]) ).
fof(f121,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,or(not(or(X2,X0)),X1))) )
| ~ spl0_17
| ~ spl0_19 ),
inference(resolution,[],[f118,f103]) ).
fof(f197,plain,
( spl0_31
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f120,f117,f41,f195]) ).
fof(f120,plain,
( ! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f118,f42]) ).
fof(f191,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f108,f102,f60,f189]) ).
fof(f108,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1)))
| ~ spl0_10
| ~ spl0_17 ),
inference(resolution,[],[f103,f61]) ).
fof(f187,plain,
( spl0_29
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f107,f102,f71,f185]) ).
fof(f107,plain,
( ! [X2,X0,X1] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2))))
| ~ spl0_12
| ~ spl0_17 ),
inference(resolution,[],[f103,f72]) ).
fof(f183,plain,
( spl0_28
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f98,f92,f71,f181]) ).
fof(f98,plain,
( ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X1,or(X0,X2)))))
| ~ spl0_12
| ~ spl0_16 ),
inference(resolution,[],[f93,f72]) ).
fof(f173,plain,
( spl0_27
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f110,f102,f75,f171]) ).
fof(f110,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) )
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f103,f76]) ).
fof(f165,plain,
( spl0_26
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f106,f102,f66,f163]) ).
fof(f106,plain,
( ! [X0,X1] : theorem(or(X0,or(not(or(X1,X0)),X1)))
| ~ spl0_11
| ~ spl0_17 ),
inference(resolution,[],[f103,f67]) ).
fof(f161,plain,
( spl0_25
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f97,f92,f66,f159]) ).
fof(f97,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(or(X1,X0))))
| ~ spl0_11
| ~ spl0_16 ),
inference(resolution,[],[f93,f67]) ).
fof(f153,plain,
( ~ spl0_24
| ~ spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f123,f112,f75,f150]) ).
fof(f123,plain,
( ~ theorem(or(p,r))
| ~ spl0_13
| spl0_18 ),
inference(resolution,[],[f114,f76]) ).
fof(f145,plain,
( spl0_23
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f105,f102,f46,f143]) ).
fof(f105,plain,
( ! [X0,X1] : theorem(or(X0,or(not(X1),X1)))
| ~ spl0_7
| ~ spl0_17 ),
inference(resolution,[],[f103,f47]) ).
fof(f141,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f96,f92,f60,f139]) ).
fof(f96,plain,
( ! [X0] : theorem(or(X0,not(or(X0,X0))))
| ~ spl0_10
| ~ spl0_16 ),
inference(resolution,[],[f93,f61]) ).
fof(f137,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f95,f92,f46,f135]) ).
fof(f95,plain,
( ! [X0,X1] : theorem(or(or(X0,X1),not(X1)))
| ~ spl0_7
| ~ spl0_16 ),
inference(resolution,[],[f93,f47]) ).
fof(f127,plain,
( spl0_20
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f100,f92,f75,f125]) ).
fof(f100,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X0) )
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f93,f76]) ).
fof(f119,plain,
( spl0_19
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f83,f80,f41,f117]) ).
fof(f83,plain,
( ! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) )
| ~ spl0_6
| ~ spl0_14 ),
inference(resolution,[],[f81,f42]) ).
fof(f115,plain,
( ~ spl0_18
| spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f88,f75,f18,f112]) ).
fof(f88,plain,
( ~ theorem(or(not(or(q,p)),or(p,r)))
| spl0_1
| ~ spl0_13 ),
inference(resolution,[],[f76,f20]) ).
fof(f104,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f78,f71,f41,f102]) ).
fof(f78,plain,
( ! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f72,f42]) ).
fof(f94,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f69,f66,f41,f92]) ).
fof(f69,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f67,f42]) ).
fof(f87,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f64,f60,f41,f85]) ).
fof(f64,plain,
( ! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f61,f42]) ).
fof(f82,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f58,f55,f23,f80]) ).
fof(f23,plain,
( spl0_2
<=> ! [X3] :
( ~ axiom(X3)
| theorem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f55,plain,
( spl0_9
<=> ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f58,plain,
( ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f56,f24]) ).
fof(f24,plain,
( ! [X3] :
( ~ axiom(X3)
| theorem(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f56,plain,
( ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1))))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f77,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f63,f46,f41,f75]) ).
fof(f63,plain,
( ! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) )
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f47,f42]) ).
fof(f73,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f53,f50,f23,f71]) ).
fof(f50,plain,
( spl0_8
<=> ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f53,plain,
( ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f51,f24]) ).
fof(f51,plain,
( ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f68,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f44,f37,f23,f66]) ).
fof(f37,plain,
( spl0_5
<=> ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f44,plain,
( ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f38,f24]) ).
fof(f38,plain,
( ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f62,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f35,f31,f23,f60]) ).
fof(f31,plain,
( spl0_4
<=> ! [X0] : axiom(or(not(or(X0,X0)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f35,plain,
( ! [X0] : theorem(or(not(or(X0,X0)),X0))
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f32,f24]) ).
fof(f32,plain,
( ! [X0] : axiom(or(not(or(X0,X0)),X0))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f57,plain,
spl0_9,
inference(avatar_split_clause,[],[f14,f55]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f52,plain,
spl0_8,
inference(avatar_split_clause,[],[f15,f50]) ).
fof(f15,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f48,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f34,f27,f23,f46]) ).
fof(f27,plain,
( spl0_3
<=> ! [X0,X1] : axiom(or(not(X0),or(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f34,plain,
( ! [X0,X1] : theorem(or(not(X0),or(X1,X0)))
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f28,f24]) ).
fof(f28,plain,
( ! [X0,X1] : axiom(or(not(X0),or(X1,X0)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f43,plain,
spl0_6,
inference(avatar_split_clause,[],[f16,f41]) ).
fof(f16,plain,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(or(not(X4),X3)) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(X4)
| theorem(X3)
| ~ theorem(implies(X4,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f39,plain,
spl0_5,
inference(avatar_split_clause,[],[f13,f37]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f33,plain,
spl0_4,
inference(avatar_split_clause,[],[f12,f31]) ).
fof(f12,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f29,plain,
spl0_3,
inference(avatar_split_clause,[],[f11,f27]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f25,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f23]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f10,f18]) ).
fof(f10,plain,
~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(p,r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f9,axiom,
~ theorem(implies(implies(q,r),implies(or(q,p),or(p,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL194-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n011.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 : Mon Apr 29 22:59:16 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (15233)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (15236)WARNING: value z3 for option sas not known
% 0.16/0.38 % (15237)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (15239)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)
% 0.16/0.38 % (15238)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)
% 0.16/0.38 % (15234)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (15240)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)
% 0.16/0.38 % (15235)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (15236)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.45 TRYING [5]
% 0.22/0.49 TRYING [5]
% 1.35/0.61 TRYING [6]
% 3.17/0.81 TRYING [6]
% 3.17/0.83 % (15238)First to succeed.
% 3.43/0.84 % (15238)Refutation found. Thanks to Tanya!
% 3.43/0.84 % SZS status Unsatisfiable for theBenchmark
% 3.43/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.43/0.85 % (15238)------------------------------
% 3.43/0.85 % (15238)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.43/0.85 % (15238)Termination reason: Refutation
% 3.43/0.85
% 3.43/0.85 % (15238)Memory used [KB]: 4353
% 3.43/0.85 % (15238)Time elapsed: 0.459 s
% 3.43/0.85 % (15238)Instructions burned: 1194 (million)
% 3.43/0.85 % (15238)------------------------------
% 3.43/0.85 % (15238)------------------------------
% 3.43/0.85 % (15233)Success in time 0.469 s
%------------------------------------------------------------------------------