TSTP Solution File: COL003-17 by Vampire-SAT---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : COL003-17 : TPTP v8.2.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n002.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 : Mon Jun 24 04:51:46 EDT 2024
% Result : Unsatisfiable 62.73s 9.30s
% Output : Refutation 62.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 187
% Syntax : Number of formulae : 638 ( 9 unt; 0 def)
% Number of atoms : 1676 ( 452 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1894 ( 856 ~; 855 |; 0 &)
% ( 183 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 185 ( 183 usr; 184 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 791 ( 791 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92813,plain,
$false,
inference(avatar_sat_refutation,[],[f9,f13,f21,f30,f36,f50,f54,f107,f111,f183,f251,f267,f271,f286,f291,f358,f362,f366,f370,f374,f656,f660,f664,f668,f672,f677,f1009,f1013,f1017,f1021,f1026,f1044,f1048,f1052,f1056,f1060,f1064,f1068,f1072,f1076,f1080,f1085,f1089,f1093,f1097,f1101,f1105,f1109,f1113,f1456,f3370,f6044,f6048,f6052,f6056,f6060,f6064,f6068,f6072,f6076,f6080,f6084,f6088,f6092,f6096,f6100,f6104,f6108,f6112,f6116,f6120,f7797,f11632,f13340,f13344,f13348,f13352,f13356,f13360,f13364,f13368,f13372,f13376,f13380,f13384,f13388,f13392,f13396,f13400,f13404,f13408,f13412,f13416,f18098,f26131,f26135,f26139,f26143,f26147,f26151,f26155,f26159,f26163,f26167,f26417,f26421,f26425,f26429,f30877,f38479,f38483,f38487,f38491,f38495,f38499,f38503,f44206,f44210,f44214,f48009,f48159,f48163,f48167,f49341,f49484,f49609,f49684,f49688,f56698,f56702,f56706,f56711,f56715,f56719,f56723,f56727,f56731,f56735,f56739,f56743,f56747,f56751,f56755,f56759,f56763,f56767,f56771,f56775,f56779,f57792,f57796,f57800,f57804,f57808,f57812,f57817,f57821,f57825,f57829,f57833,f57837,f57841,f57845,f57849,f57853,f57857,f57861,f57865,f57869,f57873,f64703,f82673,f92237,f92241,f92245,f92249,f92253,f92257,f92261,f92265,f92269,f92273,f92277,f92599]) ).
fof(f92599,plain,
( spl0_1
| ~ spl0_173 ),
inference(avatar_contradiction_clause,[],[f92598]) ).
fof(f92598,plain,
( $false
| spl0_1
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f92597]) ).
fof(f92597,plain,
( apply(strong_fixed_point,fixed_pt) != apply(strong_fixed_point,fixed_pt)
| spl0_1
| ~ spl0_173 ),
inference(superposition,[],[f8,f92236]) ).
fof(f92236,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0))
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f92235]) ).
fof(f92235,plain,
( spl0_173
<=> ! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f8,plain,
( apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt))
| spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f6,plain,
( spl0_1
<=> apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f92277,plain,
( spl0_183
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f709,f654,f19,f92275]) ).
fof(f92275,plain,
( spl0_183
<=> ! [X0,X1] : apply(apply(apply(apply(w,w),apply(b,b)),X0),X1) = apply(b,apply(apply(b,b),apply(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f19,plain,
( spl0_3
<=> ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f654,plain,
( spl0_21
<=> ! [X0] : apply(X0,apply(apply(b,X0),apply(b,X0))) = apply(apply(w,w),apply(b,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f709,plain,
( ! [X0,X1] : apply(apply(apply(apply(w,w),apply(b,b)),X0),X1) = apply(b,apply(apply(b,b),apply(X0,X1)))
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f694,f20]) ).
fof(f20,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f694,plain,
( ! [X0,X1] : apply(apply(apply(b,b),apply(b,b)),apply(X0,X1)) = apply(apply(apply(apply(w,w),apply(b,b)),X0),X1)
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f20,f655]) ).
fof(f655,plain,
( ! [X0] : apply(X0,apply(apply(b,X0),apply(b,X0))) = apply(apply(w,w),apply(b,X0))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f92273,plain,
( spl0_182
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f493,f364,f19,f92271]) ).
fof(f92271,plain,
( spl0_182
<=> ! [X2,X0,X1] : apply(apply(w,apply(w,apply(apply(b,X0),X1))),X2) = apply(apply(w,apply(X0,apply(X1,X2))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f364,plain,
( spl0_18
<=> ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(X0,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f493,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(w,apply(apply(b,X0),X1))),X2) = apply(apply(w,apply(X0,apply(X1,X2))),X2)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f365,f20]) ).
fof(f365,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f92269,plain,
( spl0_181
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f490,f364,f48,f92267]) ).
fof(f92267,plain,
( spl0_181
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,b),X0))),X1) = apply(apply(w,apply(X0,apply(X0,X1))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f48,plain,
( spl0_6
<=> ! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,b),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f490,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,b),X0))),X1) = apply(apply(w,apply(X0,apply(X0,X1))),X1)
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f365,f49]) ).
fof(f49,plain,
( ! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,b),X0),X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f92265,plain,
( spl0_180
| ~ spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f486,f364,f52,f92263]) ).
fof(f92263,plain,
( spl0_180
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(w,apply(b,X0)))),X1) = apply(apply(w,apply(X0,apply(X1,X1))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f52,plain,
( spl0_7
<=> ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f486,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,apply(b,X0)))),X1) = apply(apply(w,apply(X0,apply(X1,X1))),X1)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f365,f53]) ).
fof(f53,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f92261,plain,
( spl0_179
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f482,f364,f269,f92259]) ).
fof(f92259,plain,
( spl0_179
<=> ! [X0] : apply(apply(w,apply(w,apply(apply(w,w),b))),X0) = apply(apply(w,apply(b,apply(b,X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f269,plain,
( spl0_13
<=> ! [X0] : apply(b,apply(b,X0)) = apply(apply(apply(w,w),b),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f482,plain,
( ! [X0] : apply(apply(w,apply(w,apply(apply(w,w),b))),X0) = apply(apply(w,apply(b,apply(b,X0))),X0)
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f365,f270]) ).
fof(f270,plain,
( ! [X0] : apply(b,apply(b,X0)) = apply(apply(apply(w,w),b),X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f92257,plain,
( spl0_178
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f479,f364,f284,f92255]) ).
fof(f92255,plain,
( spl0_178
<=> ! [X0] : apply(apply(w,apply(w,apply(w,apply(w,b)))),X0) = apply(apply(w,apply(X0,apply(X0,X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f284,plain,
( spl0_14
<=> ! [X0] : apply(apply(w,apply(w,b)),X0) = apply(X0,apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f479,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,apply(w,b)))),X0) = apply(apply(w,apply(X0,apply(X0,X0))),X0)
| ~ spl0_14
| ~ spl0_18 ),
inference(superposition,[],[f365,f285]) ).
fof(f285,plain,
( ! [X0] : apply(apply(w,apply(w,b)),X0) = apply(X0,apply(X0,X0))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f92253,plain,
( spl0_177
| ~ spl0_3
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f346,f284,f19,f92251]) ).
fof(f92251,plain,
( spl0_177
<=> ! [X0,X1] : apply(apply(apply(w,apply(w,b)),apply(b,X0)),X1) = apply(X0,apply(X0,apply(apply(b,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f346,plain,
( ! [X0,X1] : apply(apply(apply(w,apply(w,b)),apply(b,X0)),X1) = apply(X0,apply(X0,apply(apply(b,X0),X1)))
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f334,f20]) ).
fof(f334,plain,
( ! [X0,X1] : apply(X0,apply(apply(apply(b,X0),apply(b,X0)),X1)) = apply(apply(apply(w,apply(w,b)),apply(b,X0)),X1)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f20,f285]) ).
fof(f92249,plain,
( spl0_176
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f322,f284,f105,f92247]) ).
fof(f92247,plain,
( spl0_176
<=> ! [X0] : apply(apply(w,apply(w,apply(w,apply(w,b)))),X0) = apply(apply(apply(X0,apply(X0,X0)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f105,plain,
( spl0_8
<=> ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f322,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,apply(w,b)))),X0) = apply(apply(apply(X0,apply(X0,X0)),X0),X0)
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f106,f285]) ).
fof(f106,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f92245,plain,
( spl0_175
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f308,f269,f48,f92243]) ).
fof(f92243,plain,
( spl0_175
<=> ! [X0] : apply(apply(apply(w,b),apply(apply(w,w),b)),X0) = apply(b,apply(b,apply(b,apply(b,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f308,plain,
( ! [X0] : apply(apply(apply(w,b),apply(apply(w,w),b)),X0) = apply(b,apply(b,apply(b,apply(b,X0))))
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f294,f270]) ).
fof(f294,plain,
( ! [X0] : apply(apply(apply(w,b),apply(apply(w,w),b)),X0) = apply(b,apply(b,apply(apply(apply(w,w),b),X0)))
| ~ spl0_6
| ~ spl0_13 ),
inference(superposition,[],[f270,f49]) ).
fof(f92241,plain,
( spl0_174
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f300,f269,f105,f92239]) ).
fof(f92239,plain,
( spl0_174
<=> ! [X0] : apply(apply(w,apply(w,apply(apply(w,w),b))),X0) = apply(apply(apply(b,apply(b,X0)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f300,plain,
( ! [X0] : apply(apply(w,apply(w,apply(apply(w,w),b))),X0) = apply(apply(apply(b,apply(b,X0)),X0),X0)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f106,f270]) ).
fof(f92237,plain,
( spl0_173
| ~ spl0_95
| ~ spl0_128
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f83794,f57843,f49686,f26129,f92235]) ).
fof(f26129,plain,
( spl0_95
<=> ! [X0,X1] : apply(apply(w,w),apply(apply(b,X0),X1)) = apply(apply(X0,apply(X1,apply(apply(b,X0),X1))),apply(apply(b,X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f49686,plain,
( spl0_128
<=> ! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f57843,plain,
( spl0_163
<=> ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(w,apply(apply(b,apply(b,X1)),X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f83794,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0))
| ~ spl0_95
| ~ spl0_128
| ~ spl0_163 ),
inference(forward_demodulation,[],[f83571,f49687]) ).
fof(f49687,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0))))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f49686]) ).
fof(f83571,plain,
( ! [X0] : apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0)))) = apply(X0,apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0)))))
| ~ spl0_95
| ~ spl0_163 ),
inference(superposition,[],[f57844,f26130]) ).
fof(f26130,plain,
( ! [X0,X1] : apply(apply(w,w),apply(apply(b,X0),X1)) = apply(apply(X0,apply(X1,apply(apply(b,X0),X1))),apply(apply(b,X0),X1))
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f26129]) ).
fof(f57844,plain,
( ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(w,apply(apply(b,apply(b,X1)),X0)),X0)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f57843]) ).
fof(f82673,plain,
( spl0_172
| ~ spl0_41
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f81068,f57823,f1078,f82671]) ).
fof(f82671,plain,
( spl0_172
<=> ! [X0,X1] : apply(X0,apply(apply(X1,X1),X1)) = apply(X0,apply(apply(w,w),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f1078,plain,
( spl0_41
<=> ! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(w,apply(b,apply(b,X0))),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f57823,plain,
( spl0_158
<=> ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(apply(w,apply(b,apply(b,X1))),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f81068,plain,
( ! [X0,X1] : apply(X0,apply(apply(X1,X1),X1)) = apply(X0,apply(apply(w,w),X1))
| ~ spl0_41
| ~ spl0_158 ),
inference(superposition,[],[f57824,f1079]) ).
fof(f1079,plain,
( ! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(w,apply(b,apply(b,X0))),X1),X2)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f57824,plain,
( ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(apply(w,apply(b,apply(b,X1))),X0),X0)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f57823]) ).
fof(f64703,plain,
( spl0_171
| ~ spl0_18
| ~ spl0_61
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f64400,f56741,f6078,f364,f64701]) ).
fof(f64701,plain,
( spl0_171
<=> ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(apply(w,apply(w,b)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f6078,plain,
( spl0_61
<=> ! [X2,X0,X1] : apply(apply(w,apply(w,apply(apply(b,X0),X1))),X2) = apply(apply(apply(X0,apply(X1,X2)),X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f56741,plain,
( spl0_140
<=> ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(w,apply(w,apply(apply(b,w),b))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f64400,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(apply(w,apply(w,b)),X0),X0)
| ~ spl0_18
| ~ spl0_61
| ~ spl0_140 ),
inference(forward_demodulation,[],[f63997,f365]) ).
fof(f63997,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(apply(w,apply(b,X0)),X0),X0)
| ~ spl0_61
| ~ spl0_140 ),
inference(superposition,[],[f56742,f6079]) ).
fof(f6079,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(w,apply(apply(b,X0),X1))),X2) = apply(apply(apply(X0,apply(X1,X2)),X2),X2)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f6078]) ).
fof(f56742,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(w,apply(w,apply(apply(b,w),b))),X0)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f56741]) ).
fof(f57873,plain,
( spl0_170
| ~ spl0_3
| ~ spl0_4
| ~ spl0_49
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f29755,f26145,f1111,f27,f19,f57871]) ).
fof(f57871,plain,
( spl0_170
<=> ! [X0] : apply(apply(w,apply(b,apply(w,strong_fixed_point))),X0) = apply(apply(strong_fixed_point,apply(X0,X0)),apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f27,plain,
( spl0_4
<=> strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1111,plain,
( spl0_49
<=> ! [X0] : apply(strong_fixed_point,X0) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f26145,plain,
( spl0_99
<=> ! [X2,X0,X1] : apply(apply(w,apply(b,apply(w,apply(apply(b,X0),X1)))),X2) = apply(apply(X0,apply(X1,apply(X2,X2))),apply(X2,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f29755,plain,
( ! [X0] : apply(apply(w,apply(b,apply(w,strong_fixed_point))),X0) = apply(apply(strong_fixed_point,apply(X0,X0)),apply(X0,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_49
| ~ spl0_99 ),
inference(forward_demodulation,[],[f29754,f6011]) ).
fof(f6011,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0))))
| ~ spl0_3
| ~ spl0_49 ),
inference(superposition,[],[f1112,f20]) ).
fof(f1112,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,X0)))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f29754,plain,
( ! [X0] : apply(apply(w,apply(b,apply(w,strong_fixed_point))),X0) = apply(apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,apply(X0,X0))))),apply(X0,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_99 ),
inference(forward_demodulation,[],[f29753,f20]) ).
fof(f29753,plain,
( ! [X0] : apply(apply(w,apply(b,apply(w,strong_fixed_point))),X0) = apply(apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,apply(X0,X0)))),apply(X0,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_99 ),
inference(forward_demodulation,[],[f29248,f20]) ).
fof(f29248,plain,
( ! [X0] : apply(apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,apply(X0,X0))),apply(X0,X0)) = apply(apply(w,apply(b,apply(w,strong_fixed_point))),X0)
| ~ spl0_4
| ~ spl0_99 ),
inference(superposition,[],[f26146,f29]) ).
fof(f29,plain,
( strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f26146,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(b,apply(w,apply(apply(b,X0),X1)))),X2) = apply(apply(X0,apply(X1,apply(X2,X2))),apply(X2,X2))
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f26145]) ).
fof(f57869,plain,
( spl0_169
| ~ spl0_10
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f11665,f6102,f181,f57867]) ).
fof(f57867,plain,
( spl0_169
<=> ! [X2,X0,X1] : apply(apply(X0,apply(apply(X1,X2),X2)),X2) = apply(apply(X0,apply(apply(w,X1),X2)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f181,plain,
( spl0_10
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f6102,plain,
( spl0_67
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(w,X0))),X1) = apply(apply(X2,apply(apply(X0,X1),X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f11665,plain,
( ! [X2,X0,X1] : apply(apply(X0,apply(apply(X1,X2),X2)),X2) = apply(apply(X0,apply(apply(w,X1),X2)),X2)
| ~ spl0_10
| ~ spl0_67 ),
inference(superposition,[],[f6103,f182]) ).
fof(f182,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f6103,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(w,X0))),X1) = apply(apply(X2,apply(apply(X0,X1),X1)),X1)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f6102]) ).
fof(f57865,plain,
( spl0_168
| ~ spl0_10
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f10971,f6094,f181,f57863]) ).
fof(f57863,plain,
( spl0_168
<=> ! [X0,X1] : apply(apply(X0,apply(apply(X1,X1),X1)),X1) = apply(apply(X0,apply(apply(w,w),X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f6094,plain,
( spl0_65
<=> ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(w,w))),X0) = apply(apply(X1,apply(apply(X0,X0),X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f10971,plain,
( ! [X0,X1] : apply(apply(X0,apply(apply(X1,X1),X1)),X1) = apply(apply(X0,apply(apply(w,w),X1)),X1)
| ~ spl0_10
| ~ spl0_65 ),
inference(superposition,[],[f6095,f182]) ).
fof(f6095,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(w,w))),X0) = apply(apply(X1,apply(apply(X0,X0),X0)),X0)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f6094]) ).
fof(f57861,plain,
( spl0_167
| ~ spl0_2
| ~ spl0_3
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f9533,f6074,f19,f11,f57859]) ).
fof(f57859,plain,
( spl0_167
<=> ! [X0] : apply(apply(w,apply(w,apply(apply(w,w),b))),X0) = apply(apply(b,X0),apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f11,plain,
( spl0_2
<=> ! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f6074,plain,
( spl0_60
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,b),X0))),X1) = apply(apply(apply(X0,apply(X0,X1)),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f9533,plain,
( ! [X0] : apply(apply(w,apply(w,apply(apply(w,w),b))),X0) = apply(apply(b,X0),apply(X0,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_60 ),
inference(forward_demodulation,[],[f9267,f12]) ).
fof(f12,plain,
( ! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f9267,plain,
( ! [X0] : apply(apply(b,X0),apply(X0,X0)) = apply(apply(w,apply(w,apply(apply(w,b),b))),X0)
| ~ spl0_3
| ~ spl0_60 ),
inference(superposition,[],[f6075,f20]) ).
fof(f6075,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,b),X0))),X1) = apply(apply(apply(X0,apply(X0,X1)),X1),X1)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f6074]) ).
fof(f57857,plain,
( spl0_166
| ~ spl0_2
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f5701,f1107,f11,f57855]) ).
fof(f57855,plain,
( spl0_166
<=> ! [X0,X1] : apply(apply(X0,X1),apply(X1,X1)) = apply(apply(w,apply(w,apply(apply(b,b),X0))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1107,plain,
( spl0_48
<=> ! [X2,X0,X1] : apply(apply(X0,X1),apply(X1,X2)) = apply(apply(apply(w,apply(apply(b,b),X0)),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f5701,plain,
( ! [X0,X1] : apply(apply(X0,X1),apply(X1,X1)) = apply(apply(w,apply(w,apply(apply(b,b),X0))),X1)
| ~ spl0_2
| ~ spl0_48 ),
inference(superposition,[],[f1108,f12]) ).
fof(f1108,plain,
( ! [X2,X0,X1] : apply(apply(X0,X1),apply(X1,X2)) = apply(apply(apply(w,apply(apply(b,b),X0)),X1),X2)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f57853,plain,
( spl0_165
| ~ spl0_2
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f5019,f1103,f11,f57851]) ).
fof(f57851,plain,
( spl0_165
<=> ! [X2,X0,X1] : apply(X2,apply(apply(w,X0),X1)) = apply(apply(w,apply(apply(b,apply(b,X2)),X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1103,plain,
( spl0_47
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,apply(b,X0)),X1)),X2) = apply(X0,apply(apply(X1,X2),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f5019,plain,
( ! [X2,X0,X1] : apply(X2,apply(apply(w,X0),X1)) = apply(apply(w,apply(apply(b,apply(b,X2)),X0)),X1)
| ~ spl0_2
| ~ spl0_47 ),
inference(superposition,[],[f1104,f12]) ).
fof(f1104,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,apply(b,X0)),X1)),X2) = apply(X0,apply(apply(X1,X2),X2))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f57849,plain,
( spl0_164
| ~ spl0_2
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f5017,f1103,f11,f57847]) ).
fof(f57847,plain,
( spl0_164
<=> ! [X0,X1] : apply(X1,apply(apply(X0,X0),X0)) = apply(apply(w,apply(apply(b,apply(b,X1)),w)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f5017,plain,
( ! [X0,X1] : apply(X1,apply(apply(X0,X0),X0)) = apply(apply(w,apply(apply(b,apply(b,X1)),w)),X0)
| ~ spl0_2
| ~ spl0_47 ),
inference(superposition,[],[f1104,f12]) ).
fof(f57845,plain,
( spl0_163
| ~ spl0_5
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f5014,f1103,f34,f57843]) ).
fof(f34,plain,
( spl0_5
<=> ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f5014,plain,
( ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(w,apply(apply(b,apply(b,X1)),X0)),X0)
| ~ spl0_5
| ~ spl0_47 ),
inference(superposition,[],[f1104,f35]) ).
fof(f35,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f57841,plain,
( spl0_162
| ~ spl0_43
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f4438,f1095,f1087,f57839]) ).
fof(f57839,plain,
( spl0_162
<=> ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(w,apply(w,apply(X0,X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1087,plain,
( spl0_43
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(X0,X1))),X1) = apply(apply(apply(w,apply(w,X0)),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1095,plain,
( spl0_45
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(apply(w,apply(X0,X1)),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f4438,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(w,apply(w,apply(X0,X0))),X0)
| ~ spl0_43
| ~ spl0_45 ),
inference(superposition,[],[f1096,f1088]) ).
fof(f1088,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(X0,X1))),X1) = apply(apply(apply(w,apply(w,X0)),X1),X1)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1096,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(apply(w,apply(X0,X1)),X1),X1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f57837,plain,
( spl0_161
| ~ spl0_10
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f4297,f1091,f181,f57835]) ).
fof(f57835,plain,
( spl0_161
<=> ! [X0] : apply(apply(w,w),apply(w,X0)) = apply(apply(w,apply(apply(b,w),X0)),apply(w,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1091,plain,
( spl0_44
<=> ! [X0] : apply(apply(w,w),apply(w,X0)) = apply(apply(w,apply(X0,apply(w,X0))),apply(w,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f4297,plain,
( ! [X0] : apply(apply(w,w),apply(w,X0)) = apply(apply(w,apply(apply(b,w),X0)),apply(w,X0))
| ~ spl0_10
| ~ spl0_44 ),
inference(superposition,[],[f1092,f182]) ).
fof(f1092,plain,
( ! [X0] : apply(apply(w,w),apply(w,X0)) = apply(apply(w,apply(X0,apply(w,X0))),apply(w,X0))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f57833,plain,
( spl0_160
| ~ spl0_2
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f4194,f1087,f11,f57831]) ).
fof(f57831,plain,
( spl0_160
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(w,apply(w,apply(X0,X1))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f4194,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(w,apply(w,apply(X0,X1))),X1)
| ~ spl0_2
| ~ spl0_43 ),
inference(superposition,[],[f1088,f12]) ).
fof(f57829,plain,
( spl0_159
| ~ spl0_2
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f3753,f1078,f11,f57827]) ).
fof(f57827,plain,
( spl0_159
<=> ! [X0,X1] : apply(apply(apply(w,apply(b,apply(b,X1))),X0),X0) = apply(X1,apply(apply(w,X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f3753,plain,
( ! [X0,X1] : apply(apply(apply(w,apply(b,apply(b,X1))),X0),X0) = apply(X1,apply(apply(w,X0),X0))
| ~ spl0_2
| ~ spl0_41 ),
inference(superposition,[],[f1079,f12]) ).
fof(f57825,plain,
( spl0_158
| ~ spl0_5
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f3752,f1078,f34,f57823]) ).
fof(f3752,plain,
( ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(apply(w,apply(b,apply(b,X1))),X0),X0)
| ~ spl0_5
| ~ spl0_41 ),
inference(superposition,[],[f1079,f35]) ).
fof(f57821,plain,
( spl0_157
| ~ spl0_2
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f3003,f1066,f11,f57819]) ).
fof(f57819,plain,
( spl0_157
<=> ! [X0] : apply(b,apply(apply(w,apply(b,b)),X0)) = apply(apply(apply(w,w),b),apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1066,plain,
( spl0_38
<=> ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X1,X1)) = apply(X0,apply(apply(w,apply(b,X0)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f3003,plain,
( ! [X0] : apply(b,apply(apply(w,apply(b,b)),X0)) = apply(apply(apply(w,w),b),apply(X0,X0))
| ~ spl0_2
| ~ spl0_38 ),
inference(superposition,[],[f1067,f12]) ).
fof(f1067,plain,
( ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X1,X1)) = apply(X0,apply(apply(w,apply(b,X0)),X1))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f57817,plain,
( spl0_156
| ~ spl0_7
| ~ spl0_21
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f2336,f1054,f654,f52,f57814]) ).
fof(f57814,plain,
( spl0_156
<=> apply(apply(w,w),apply(b,b)) = apply(apply(w,apply(apply(w,w),apply(b,b))),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1054,plain,
( spl0_35
<=> ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(w,apply(b,apply(X0,apply(X1,X1)))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2336,plain,
( apply(apply(w,w),apply(b,b)) = apply(apply(w,apply(apply(w,w),apply(b,b))),b)
| ~ spl0_7
| ~ spl0_21
| ~ spl0_35 ),
inference(forward_demodulation,[],[f2335,f655]) ).
fof(f2335,plain,
( apply(b,apply(apply(b,b),apply(b,b))) = apply(apply(w,apply(apply(w,w),apply(b,b))),b)
| ~ spl0_7
| ~ spl0_21
| ~ spl0_35 ),
inference(forward_demodulation,[],[f2271,f53]) ).
fof(f2271,plain,
( apply(apply(w,apply(b,b)),apply(b,b)) = apply(apply(w,apply(apply(w,w),apply(b,b))),b)
| ~ spl0_21
| ~ spl0_35 ),
inference(superposition,[],[f1055,f655]) ).
fof(f1055,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(w,apply(b,apply(X0,apply(X1,X1)))),X1)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1054]) ).
fof(f57812,plain,
( spl0_155
| ~ spl0_18
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f2111,f1050,f364,f57810]) ).
fof(f57810,plain,
( spl0_155
<=> ! [X0] : apply(apply(X0,X0),apply(X0,X0)) = apply(apply(w,apply(w,apply(w,apply(b,b)))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1050,plain,
( spl0_34
<=> ! [X0,X1] : apply(apply(X0,X0),apply(X1,X1)) = apply(apply(w,apply(apply(w,apply(b,b)),X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f2111,plain,
( ! [X0] : apply(apply(X0,X0),apply(X0,X0)) = apply(apply(w,apply(w,apply(w,apply(b,b)))),X0)
| ~ spl0_18
| ~ spl0_34 ),
inference(superposition,[],[f1051,f365]) ).
fof(f1051,plain,
( ! [X0,X1] : apply(apply(X0,X0),apply(X1,X1)) = apply(apply(w,apply(apply(w,apply(b,b)),X0)),X1)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f57808,plain,
( spl0_154
| ~ spl0_6
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1769,f1046,f48,f57806]) ).
fof(f57806,plain,
( spl0_154
<=> ! [X2,X0,X1] : apply(apply(apply(b,X0),apply(apply(b,X0),X1)),X2) = apply(X0,apply(X0,apply(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1046,plain,
( spl0_33
<=> ! [X2,X0,X1] : apply(apply(apply(apply(w,b),apply(b,X0)),X1),X2) = apply(X0,apply(X0,apply(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1769,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),apply(apply(b,X0),X1)),X2) = apply(X0,apply(X0,apply(X1,X2)))
| ~ spl0_6
| ~ spl0_33 ),
inference(superposition,[],[f1047,f49]) ).
fof(f1047,plain,
( ! [X2,X0,X1] : apply(apply(apply(apply(w,b),apply(b,X0)),X1),X2) = apply(X0,apply(X0,apply(X1,X2)))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f57804,plain,
( spl0_153
| ~ spl0_29
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1768,f1046,f1015,f57802]) ).
fof(f57802,plain,
( spl0_153
<=> ! [X0,X1] : apply(X0,apply(X0,apply(X0,X1))) = apply(apply(apply(b,X0),apply(apply(w,b),X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1015,plain,
( spl0_29
<=> ! [X0,X1] : apply(apply(apply(w,b),apply(X0,X1)),X1) = apply(apply(X0,X1),apply(apply(w,X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1768,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X0,X1))) = apply(apply(apply(b,X0),apply(apply(w,b),X0)),X1)
| ~ spl0_29
| ~ spl0_33 ),
inference(superposition,[],[f1047,f1016]) ).
fof(f1016,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(X0,X1)),X1) = apply(apply(X0,X1),apply(apply(w,X0),X1))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f57800,plain,
( spl0_152
| ~ spl0_27
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1767,f1046,f1007,f57798]) ).
fof(f57798,plain,
( spl0_152
<=> ! [X0] : apply(b,apply(b,apply(b,X0))) = apply(apply(apply(b,b),apply(apply(w,w),b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1007,plain,
( spl0_27
<=> ! [X0] : apply(apply(apply(w,b),apply(X0,X0)),X0) = apply(apply(X0,X0),apply(apply(w,w),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1767,plain,
( ! [X0] : apply(b,apply(b,apply(b,X0))) = apply(apply(apply(b,b),apply(apply(w,w),b)),X0)
| ~ spl0_27
| ~ spl0_33 ),
inference(superposition,[],[f1047,f1008]) ).
fof(f1008,plain,
( ! [X0] : apply(apply(apply(w,b),apply(X0,X0)),X0) = apply(apply(X0,X0),apply(apply(w,w),X0))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1007]) ).
fof(f57796,plain,
( spl0_151
| ~ spl0_6
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1286,f1015,f48,f57794]) ).
fof(f57794,plain,
( spl0_151
<=> ! [X0,X1] : apply(apply(X0,X1),apply(apply(X0,X1),X1)) = apply(apply(X0,X1),apply(apply(w,X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1286,plain,
( ! [X0,X1] : apply(apply(X0,X1),apply(apply(X0,X1),X1)) = apply(apply(X0,X1),apply(apply(w,X0),X1))
| ~ spl0_6
| ~ spl0_29 ),
inference(superposition,[],[f1016,f49]) ).
fof(f57792,plain,
( spl0_150
| ~ spl0_28
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1285,f1015,f1011,f57790]) ).
fof(f57790,plain,
( spl0_150
<=> ! [X0] : apply(apply(w,X0),apply(apply(X0,X0),X0)) = apply(apply(w,X0),apply(apply(w,w),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1011,plain,
( spl0_28
<=> ! [X0,X1] : apply(apply(apply(w,b),apply(w,X0)),X1) = apply(apply(w,X0),apply(apply(X0,X1),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1285,plain,
( ! [X0] : apply(apply(w,X0),apply(apply(X0,X0),X0)) = apply(apply(w,X0),apply(apply(w,w),X0))
| ~ spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f1016,f1012]) ).
fof(f1012,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(w,X0)),X1) = apply(apply(w,X0),apply(apply(X0,X1),X1))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1011]) ).
fof(f56779,plain,
( spl0_149
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1284,f1015,f1007,f56777]) ).
fof(f56777,plain,
( spl0_149
<=> ! [X0] : apply(apply(X0,X0),apply(apply(w,w),X0)) = apply(apply(X0,X0),apply(apply(w,X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1284,plain,
( ! [X0] : apply(apply(X0,X0),apply(apply(w,w),X0)) = apply(apply(X0,X0),apply(apply(w,X0),X0))
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f1016,f1008]) ).
fof(f56775,plain,
( spl0_148
| ~ spl0_2
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1211,f1011,f11,f56773]) ).
fof(f56773,plain,
( spl0_148
<=> ! [X0] : apply(apply(apply(w,b),apply(w,w)),X0) = apply(apply(w,w),apply(apply(X0,X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1211,plain,
( ! [X0] : apply(apply(apply(w,b),apply(w,w)),X0) = apply(apply(w,w),apply(apply(X0,X0),X0))
| ~ spl0_2
| ~ spl0_28 ),
inference(superposition,[],[f1012,f12]) ).
fof(f56771,plain,
( spl0_147
| ~ spl0_6
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1161,f1011,f48,f56769]) ).
fof(f56769,plain,
( spl0_147
<=> ! [X0,X1] : apply(apply(w,X0),apply(apply(w,X0),X1)) = apply(apply(w,X0),apply(apply(X0,X1),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1161,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(apply(w,X0),X1)) = apply(apply(w,X0),apply(apply(X0,X1),X1))
| ~ spl0_6
| ~ spl0_28 ),
inference(superposition,[],[f1012,f49]) ).
fof(f56767,plain,
( spl0_146
| ~ spl0_6
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1122,f1007,f48,f56765]) ).
fof(f56765,plain,
( spl0_146
<=> ! [X0] : apply(apply(X0,X0),apply(apply(X0,X0),X0)) = apply(apply(X0,X0),apply(apply(w,w),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1122,plain,
( ! [X0] : apply(apply(X0,X0),apply(apply(X0,X0),X0)) = apply(apply(X0,X0),apply(apply(w,w),X0))
| ~ spl0_6
| ~ spl0_27 ),
inference(superposition,[],[f1008,f49]) ).
fof(f56763,plain,
( spl0_145
| ~ spl0_3
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f879,f662,f19,f56761]) ).
fof(f56761,plain,
( spl0_145
<=> ! [X0,X1] : apply(apply(X0,X0),apply(X0,X1)) = apply(apply(apply(w,apply(w,apply(b,b))),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f662,plain,
( spl0_23
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f879,plain,
( ! [X0,X1] : apply(apply(X0,X0),apply(X0,X1)) = apply(apply(apply(w,apply(w,apply(b,b))),X0),X1)
| ~ spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f20,f663]) ).
fof(f663,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f56759,plain,
( spl0_144
| ~ spl0_3
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f864,f662,f19,f56757]) ).
fof(f56757,plain,
( spl0_144
<=> ! [X0,X1] : apply(X0,apply(apply(X1,X1),X1)) = apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f864,plain,
( ! [X0,X1] : apply(X0,apply(apply(X1,X1),X1)) = apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1)
| ~ spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f663,f20]) ).
fof(f56755,plain,
( spl0_143
| ~ spl0_2
| ~ spl0_3
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f824,f658,f19,f11,f56753]) ).
fof(f56753,plain,
( spl0_143
<=> ! [X0,X1] : apply(apply(b,X0),apply(X0,X1)) = apply(apply(apply(w,apply(apply(w,w),b)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f658,plain,
( spl0_22
<=> ! [X0,X1] : apply(apply(w,apply(apply(w,b),X0)),X1) = apply(apply(X0,apply(X0,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f824,plain,
( ! [X0,X1] : apply(apply(b,X0),apply(X0,X1)) = apply(apply(apply(w,apply(apply(w,w),b)),X0),X1)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f778,f12]) ).
fof(f778,plain,
( ! [X0,X1] : apply(apply(b,X0),apply(X0,X1)) = apply(apply(apply(w,apply(apply(w,b),b)),X0),X1)
| ~ spl0_3
| ~ spl0_22 ),
inference(superposition,[],[f20,f659]) ).
fof(f659,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(w,b),X0)),X1) = apply(apply(X0,apply(X0,X1)),X1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f56751,plain,
( spl0_142
| ~ spl0_3
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f821,f658,f19,f56749]) ).
fof(f56749,plain,
( spl0_142
<=> ! [X0,X1] : apply(X0,apply(X0,apply(X1,X1))) = apply(apply(w,apply(apply(w,b),apply(b,X0))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f821,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X1,X1))) = apply(apply(w,apply(apply(w,b),apply(b,X0))),X1)
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_demodulation,[],[f764,f20]) ).
fof(f764,plain,
( ! [X0,X1] : apply(X0,apply(apply(apply(b,X0),X1),X1)) = apply(apply(w,apply(apply(w,b),apply(b,X0))),X1)
| ~ spl0_3
| ~ spl0_22 ),
inference(superposition,[],[f659,f20]) ).
fof(f56747,plain,
( spl0_141
| ~ spl0_10
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f721,f658,f181,f56745]) ).
fof(f56745,plain,
( spl0_141
<=> ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(w,apply(apply(b,w),apply(w,b))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f721,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(w,apply(apply(b,w),apply(w,b))),X0)
| ~ spl0_10
| ~ spl0_22 ),
inference(superposition,[],[f659,f182]) ).
fof(f56743,plain,
( spl0_140
| ~ spl0_2
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f616,f372,f11,f56741]) ).
fof(f372,plain,
( spl0_20
<=> ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f616,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(w,apply(w,apply(apply(b,w),b))),X0)
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f12,f373]) ).
fof(f373,plain,
( ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f56739,plain,
( spl0_139
| ~ spl0_2
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f52871,f30875,f11,f56737]) ).
fof(f56737,plain,
( spl0_139
<=> ! [X0] : apply(X0,apply(X0,apply(X0,X0))) = apply(X0,apply(apply(w,apply(w,b)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f30875,plain,
( spl0_109
<=> ! [X0,X1] : apply(X0,apply(X0,apply(X0,X1))) = apply(X0,apply(apply(apply(w,b),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f52871,plain,
( ! [X0] : apply(X0,apply(X0,apply(X0,X0))) = apply(X0,apply(apply(w,apply(w,b)),X0))
| ~ spl0_2
| ~ spl0_109 ),
inference(superposition,[],[f30876,f12]) ).
fof(f30876,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X0,X1))) = apply(X0,apply(apply(apply(w,b),X0),X1))
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f30875]) ).
fof(f56735,plain,
( spl0_138
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f489,f364,f11,f56733]) ).
fof(f56733,plain,
( spl0_138
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(X0,X1))),X1) = apply(apply(w,apply(apply(w,X0),X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f489,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(X0,X1))),X1) = apply(apply(w,apply(apply(w,X0),X1)),X1)
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f365,f12]) ).
fof(f56731,plain,
( spl0_137
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f485,f364,f11,f56729]) ).
fof(f56729,plain,
( spl0_137
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(w,apply(apply(X0,X1),X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f485,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(w,apply(apply(X0,X1),X1)),X1)
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f365,f12]) ).
fof(f56727,plain,
( spl0_136
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f481,f364,f34,f56725]) ).
fof(f56725,plain,
( spl0_136
<=> ! [X0] : apply(apply(w,apply(w,apply(X0,X0))),X0) = apply(apply(w,apply(apply(w,w),X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f481,plain,
( ! [X0] : apply(apply(w,apply(w,apply(X0,X0))),X0) = apply(apply(w,apply(apply(w,w),X0)),X0)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f365,f35]) ).
fof(f56723,plain,
( spl0_135
| ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f478,f364,f34,f56721]) ).
fof(f56721,plain,
( spl0_135
<=> ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(w,apply(apply(X0,X0),X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f478,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(w,apply(apply(X0,X0),X0)),X0)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f365,f35]) ).
fof(f56719,plain,
( spl0_134
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f433,f360,f105,f56717]) ).
fof(f56717,plain,
( spl0_134
<=> ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(apply(w,apply(X0,X0)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f360,plain,
( spl0_17
<=> ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(w,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f433,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(apply(w,apply(X0,X0)),X0),X0)
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f106,f361]) ).
fof(f361,plain,
( ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f56715,plain,
( spl0_133
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f390,f356,f105,f56713]) ).
fof(f56713,plain,
( spl0_133
<=> ! [X0] : apply(apply(w,apply(w,apply(X0,X0))),X0) = apply(apply(apply(w,apply(w,w)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f356,plain,
( spl0_16
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(X0,X0),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f390,plain,
( ! [X0] : apply(apply(w,apply(w,apply(X0,X0))),X0) = apply(apply(apply(w,apply(w,w)),X0),X0)
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f106,f357]) ).
fof(f357,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(X0,X0),X0),X0)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f56711,plain,
( spl0_132
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f354,f288,f105,f19,f56708]) ).
fof(f56708,plain,
( spl0_132
<=> apply(apply(w,apply(w,apply(w,apply(w,w)))),b) = apply(apply(b,b),apply(b,b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f288,plain,
( spl0_15
<=> apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f354,plain,
( apply(apply(w,apply(w,apply(w,apply(w,w)))),b) = apply(apply(b,b),apply(b,b))
| ~ spl0_3
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f351,f20]) ).
fof(f351,plain,
( apply(apply(w,apply(w,apply(w,apply(w,w)))),b) = apply(apply(apply(b,apply(b,b)),b),b)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f106,f290]) ).
fof(f290,plain,
( apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f56706,plain,
( spl0_131
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f331,f284,f11,f56704]) ).
fof(f56704,plain,
( spl0_131
<=> ! [X0] : apply(apply(apply(w,apply(w,b)),X0),apply(X0,X0)) = apply(apply(w,X0),apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f331,plain,
( ! [X0] : apply(apply(apply(w,apply(w,b)),X0),apply(X0,X0)) = apply(apply(w,X0),apply(X0,X0))
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f12,f285]) ).
fof(f56702,plain,
( spl0_130
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f330,f284,f48,f56700]) ).
fof(f56700,plain,
( spl0_130
<=> ! [X0] : apply(apply(apply(w,b),X0),apply(X0,X0)) = apply(X0,apply(apply(w,apply(w,b)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f330,plain,
( ! [X0] : apply(apply(apply(w,b),X0),apply(X0,X0)) = apply(X0,apply(apply(w,apply(w,b)),X0))
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f49,f285]) ).
fof(f56698,plain,
( spl0_129
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f295,f269,f52,f56696]) ).
fof(f56696,plain,
( spl0_129
<=> ! [X0] : apply(apply(w,apply(b,apply(apply(w,w),b))),X0) = apply(b,apply(b,apply(X0,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f295,plain,
( ! [X0] : apply(apply(w,apply(b,apply(apply(w,w),b))),X0) = apply(b,apply(b,apply(X0,X0)))
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f270,f53]) ).
fof(f49688,plain,
( spl0_128
| ~ spl0_3
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f6011,f1111,f19,f49686]) ).
fof(f49684,plain,
( spl0_127
| ~ spl0_18
| ~ spl0_21
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f4815,f1099,f654,f364,f49682]) ).
fof(f49682,plain,
( spl0_127
<=> ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1099,plain,
( spl0_46
<=> ! [X0,X1] : apply(apply(X0,apply(X1,X1)),X1) = apply(apply(w,apply(apply(b,w),apply(b,X0))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f4815,plain,
( ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0)
| ~ spl0_18
| ~ spl0_21
| ~ spl0_46 ),
inference(forward_demodulation,[],[f4646,f655]) ).
fof(f4646,plain,
( ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(w,apply(apply(b,w),apply(b,w))),X0)
| ~ spl0_18
| ~ spl0_46 ),
inference(superposition,[],[f1100,f365]) ).
fof(f1100,plain,
( ! [X0,X1] : apply(apply(X0,apply(X1,X1)),X1) = apply(apply(w,apply(apply(b,w),apply(b,X0))),X1)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f49609,plain,
( spl0_126
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f282,f264,f52,f48,f19,f49606]) ).
fof(f49606,plain,
( spl0_126
<=> apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)))),b) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(strong_fixed_point,b),apply(strong_fixed_point,b))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f264,plain,
( spl0_12
<=> apply(apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),b) = apply(strong_fixed_point,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f282,plain,
( apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)))),b) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(apply(strong_fixed_point,b),apply(strong_fixed_point,b)))))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f281,f20]) ).
fof(f281,plain,
( apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)))),b) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(apply(strong_fixed_point,b),apply(strong_fixed_point,b))))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f276,f88]) ).
fof(f88,plain,
( ! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,X2))) = apply(apply(w,apply(b,apply(apply(b,X0),X1))),X2)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f53,f20]) ).
fof(f276,plain,
( apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)))),b) = apply(apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),apply(strong_fixed_point,b))
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f49,f266]) ).
fof(f266,plain,
( apply(apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),b) = apply(strong_fixed_point,b)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f49484,plain,
( spl0_125
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f60,f48,f27,f49481]) ).
fof(f49481,plain,
( spl0_125
<=> apply(apply(apply(w,b),apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),b) = apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),strong_fixed_point) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f60,plain,
( apply(apply(apply(w,b),apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),b) = apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),strong_fixed_point)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f49,f29]) ).
fof(f49341,plain,
( spl0_124
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f262,f249,f48,f19,f49339]) ).
fof(f49339,plain,
( spl0_124
<=> ! [X0] : apply(apply(apply(w,b),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),apply(b,X0)) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(strong_fixed_point,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f249,plain,
( spl0_11
<=> ! [X0] : apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,X0)) = apply(strong_fixed_point,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f262,plain,
( ! [X0] : apply(apply(apply(w,b),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),apply(b,X0)) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(strong_fixed_point,X0))))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f261,f20]) ).
fof(f261,plain,
( ! [X0] : apply(apply(apply(w,b),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),apply(b,X0)) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(strong_fixed_point,X0)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f258,f20]) ).
fof(f258,plain,
( ! [X0] : apply(apply(apply(w,b),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),apply(b,X0)) = apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(strong_fixed_point,X0))
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f49,f250]) ).
fof(f250,plain,
( ! [X0] : apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,X0)) = apply(strong_fixed_point,X0)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f48167,plain,
( spl0_123
| ~ spl0_21
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f4668,f1099,f654,f48165]) ).
fof(f48165,plain,
( spl0_123
<=> ! [X0] : apply(apply(w,apply(X0,X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f4668,plain,
( ! [X0] : apply(apply(w,apply(X0,X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0)
| ~ spl0_21
| ~ spl0_46 ),
inference(superposition,[],[f1100,f655]) ).
fof(f48163,plain,
( spl0_122
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f257,f249,f105,f48161]) ).
fof(f48161,plain,
( spl0_122
<=> ! [X0] : apply(apply(w,apply(w,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),apply(b,X0)) = apply(apply(apply(strong_fixed_point,X0),apply(b,X0)),apply(b,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f257,plain,
( ! [X0] : apply(apply(w,apply(w,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),apply(b,X0)) = apply(apply(apply(strong_fixed_point,X0),apply(b,X0)),apply(b,X0))
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f106,f250]) ).
fof(f48159,plain,
( spl0_121
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f256,f249,f181,f48157]) ).
fof(f48157,plain,
( spl0_121
<=> ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),apply(b,X0)) = apply(apply(X1,apply(strong_fixed_point,X0)),apply(b,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f256,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),apply(b,X0)) = apply(apply(X1,apply(strong_fixed_point,X0)),apply(b,X0))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f182,f250]) ).
fof(f48009,plain,
( spl0_120
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f280,f264,f105,f11,f48006]) ).
fof(f48006,plain,
( spl0_120
<=> apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))))),b) = apply(apply(w,apply(strong_fixed_point,b)),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f280,plain,
( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))))),b) = apply(apply(w,apply(strong_fixed_point,b)),b)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f279,f132]) ).
fof(f132,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f106,f12]) ).
fof(f279,plain,
( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))))),b) = apply(apply(w,apply(w,strong_fixed_point)),b)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f275,f106]) ).
fof(f275,plain,
( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))))),b) = apply(apply(apply(strong_fixed_point,b),b),b)
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f106,f266]) ).
fof(f44214,plain,
( spl0_119
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f225,f181,f48,f44212]) ).
fof(f44212,plain,
( spl0_119
<=> ! [X2,X0,X1] : apply(apply(apply(w,b),apply(w,apply(apply(b,X0),X1))),X2) = apply(apply(w,apply(apply(b,X0),X1)),apply(apply(X0,apply(X1,X2)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f225,plain,
( ! [X2,X0,X1] : apply(apply(apply(w,b),apply(w,apply(apply(b,X0),X1))),X2) = apply(apply(w,apply(apply(b,X0),X1)),apply(apply(X0,apply(X1,X2)),X2))
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f49,f182]) ).
fof(f44210,plain,
( spl0_118
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f215,f181,f44208]) ).
fof(f44208,plain,
( spl0_118
<=> ! [X0,X3,X2,X1] : apply(apply(apply(w,apply(apply(b,X0),X1)),apply(X2,X3)),X3) = apply(apply(w,apply(apply(b,apply(X0,apply(X1,apply(X2,X3)))),X2)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f215,plain,
( ! [X2,X3,X0,X1] : apply(apply(apply(w,apply(apply(b,X0),X1)),apply(X2,X3)),X3) = apply(apply(w,apply(apply(b,apply(X0,apply(X1,apply(X2,X3)))),X2)),X3)
| ~ spl0_10 ),
inference(superposition,[],[f182,f182]) ).
fof(f44206,plain,
( spl0_117
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f214,f181,f44204]) ).
fof(f44204,plain,
( spl0_117
<=> ! [X0,X3,X2,X1] : apply(apply(w,apply(apply(b,apply(w,apply(apply(b,X0),X1))),X2)),X3) = apply(apply(apply(X0,apply(X1,apply(X2,X3))),apply(X2,X3)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f214,plain,
( ! [X2,X3,X0,X1] : apply(apply(w,apply(apply(b,apply(w,apply(apply(b,X0),X1))),X2)),X3) = apply(apply(apply(X0,apply(X1,apply(X2,X3))),apply(X2,X3)),X3)
| ~ spl0_10 ),
inference(superposition,[],[f182,f182]) ).
fof(f38503,plain,
( spl0_116
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f259,f249,f11,f38501]) ).
fof(f38501,plain,
( spl0_116
<=> ! [X0] : apply(apply(strong_fixed_point,X0),apply(b,X0)) = apply(apply(w,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),apply(b,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f259,plain,
( ! [X0] : apply(apply(strong_fixed_point,X0),apply(b,X0)) = apply(apply(w,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),apply(b,X0))
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f12,f250]) ).
fof(f38499,plain,
( spl0_115
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f252,f249,f52,f38497]) ).
fof(f38497,plain,
( spl0_115
<=> ! [X0] : apply(strong_fixed_point,apply(X0,X0)) = apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(apply(w,apply(b,b)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f252,plain,
( ! [X0] : apply(strong_fixed_point,apply(X0,X0)) = apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(apply(w,apply(b,b)),X0))
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f250,f53]) ).
fof(f38495,plain,
( spl0_114
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f234,f181,f48,f38493]) ).
fof(f38493,plain,
( spl0_114
<=> ! [X2,X0,X1] : apply(apply(apply(w,b),apply(X0,apply(X1,X2))),X2) = apply(apply(X0,apply(X1,X2)),apply(apply(w,apply(apply(b,X0),X1)),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f234,plain,
( ! [X2,X0,X1] : apply(apply(apply(w,b),apply(X0,apply(X1,X2))),X2) = apply(apply(X0,apply(X1,X2)),apply(apply(w,apply(apply(b,X0),X1)),X2))
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f49,f182]) ).
fof(f38491,plain,
( spl0_113
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f204,f181,f38489]) ).
fof(f38489,plain,
( spl0_113
<=> ! [X0,X3,X2,X1] : apply(apply(X3,apply(apply(w,apply(apply(b,X0),X1)),X2)),X2) = apply(apply(w,apply(apply(b,X3),apply(X0,apply(X1,X2)))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f204,plain,
( ! [X2,X3,X0,X1] : apply(apply(X3,apply(apply(w,apply(apply(b,X0),X1)),X2)),X2) = apply(apply(w,apply(apply(b,X3),apply(X0,apply(X1,X2)))),X2)
| ~ spl0_10 ),
inference(superposition,[],[f182,f182]) ).
fof(f38487,plain,
( spl0_112
| ~ spl0_6
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f3024,f1066,f48,f38485]) ).
fof(f38485,plain,
( spl0_112
<=> ! [X0,X1] : apply(X0,apply(X0,apply(X1,X1))) = apply(X0,apply(apply(w,apply(b,X0)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f3024,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X1,X1))) = apply(X0,apply(apply(w,apply(b,X0)),X1))
| ~ spl0_6
| ~ spl0_38 ),
inference(superposition,[],[f1067,f49]) ).
fof(f38483,plain,
( spl0_111
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f203,f181,f38481]) ).
fof(f38481,plain,
( spl0_111
<=> ! [X0,X3,X2,X1] : apply(apply(w,apply(apply(b,X3),apply(w,apply(apply(b,X0),X1)))),X2) = apply(apply(X3,apply(apply(X0,apply(X1,X2)),X2)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f203,plain,
( ! [X2,X3,X0,X1] : apply(apply(w,apply(apply(b,X3),apply(w,apply(apply(b,X0),X1)))),X2) = apply(apply(X3,apply(apply(X0,apply(X1,X2)),X2)),X2)
| ~ spl0_10 ),
inference(superposition,[],[f182,f182]) ).
fof(f38479,plain,
( spl0_110
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f120,f105,f27,f38476]) ).
fof(f38476,plain,
( spl0_110
<=> apply(apply(w,apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)))),b) = apply(apply(strong_fixed_point,b),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f120,plain,
( apply(apply(w,apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)))),b) = apply(apply(strong_fixed_point,b),b)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f106,f29]) ).
fof(f30877,plain,
( spl0_109
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1508,f1019,f48,f30875]) ).
fof(f1019,plain,
( spl0_30
<=> ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X0,X1)) = apply(X0,apply(apply(apply(w,b),X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1508,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X0,X1))) = apply(X0,apply(apply(apply(w,b),X0),X1))
| ~ spl0_6
| ~ spl0_30 ),
inference(superposition,[],[f1020,f49]) ).
fof(f1020,plain,
( ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X0,X1)) = apply(X0,apply(apply(apply(w,b),X0),X1))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f26429,plain,
( spl0_108
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f247,f181,f109,f105,f11,f26427]) ).
fof(f26427,plain,
( spl0_108
<=> ! [X2,X0,X1] : apply(apply(w,apply(w,apply(X0,apply(X1,X2)))),X2) = apply(apply(apply(w,apply(w,apply(apply(b,X0),X1))),X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f109,plain,
( spl0_9
<=> ! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f247,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(w,apply(X0,apply(X1,X2)))),X2) = apply(apply(apply(w,apply(w,apply(apply(b,X0),X1))),X2),X2)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f246,f132]) ).
fof(f246,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(w,apply(X0,apply(X1,X2)))),X2) = apply(apply(apply(w,apply(apply(apply(b,X0),X1),X2)),X2),X2)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f233,f110]) ).
fof(f110,plain,
( ! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f233,plain,
( ! [X2,X0,X1] : apply(apply(apply(apply(w,apply(apply(b,X0),X1)),X2),X2),X2) = apply(apply(w,apply(w,apply(X0,apply(X1,X2)))),X2)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f106,f182]) ).
fof(f26425,plain,
( spl0_107
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f244,f181,f105,f11,f26423]) ).
fof(f26423,plain,
( spl0_107
<=> ! [X2,X0,X1] : apply(apply(w,apply(w,apply(w,apply(apply(b,X0),X1)))),X2) = apply(apply(apply(w,apply(X0,apply(X1,X2))),X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f244,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(w,apply(w,apply(apply(b,X0),X1)))),X2) = apply(apply(apply(w,apply(X0,apply(X1,X2))),X2),X2)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f224,f12]) ).
fof(f224,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(w,apply(w,apply(apply(b,X0),X1)))),X2) = apply(apply(apply(apply(X0,apply(X1,X2)),X2),X2),X2)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f106,f182]) ).
fof(f26421,plain,
( spl0_106
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f222,f181,f52,f26419]) ).
fof(f26419,plain,
( spl0_106
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),apply(X2,X2)) = apply(apply(w,apply(b,apply(X0,apply(X1,apply(X2,X2))))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f222,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),apply(X2,X2)) = apply(apply(w,apply(b,apply(X0,apply(X1,apply(X2,X2))))),X2)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f26417,plain,
( spl0_105
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f208,f181,f52,f26415]) ).
fof(f26415,plain,
( spl0_105
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,apply(w,apply(b,X0))),X1)),X2) = apply(apply(X0,apply(apply(X1,X2),apply(X1,X2))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f208,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,apply(w,apply(b,X0))),X1)),X2) = apply(apply(X0,apply(apply(X1,X2),apply(X1,X2))),X2)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f26167,plain,
( spl0_104
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f207,f181,f34,f26165]) ).
fof(f26165,plain,
( spl0_104
<=> ! [X0,X1] : apply(apply(apply(w,w),apply(X0,X1)),X1) = apply(apply(w,apply(apply(b,apply(apply(X0,X1),apply(X0,X1))),X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f207,plain,
( ! [X0,X1] : apply(apply(apply(w,w),apply(X0,X1)),X1) = apply(apply(w,apply(apply(b,apply(apply(X0,X1),apply(X0,X1))),X0)),X1)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f182,f35]) ).
fof(f26163,plain,
( spl0_103
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f206,f181,f52,f26161]) ).
fof(f26161,plain,
( spl0_103
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),X0)),apply(X1,X1)) = apply(apply(X2,apply(apply(w,apply(b,X0)),X1)),apply(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f206,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),X0)),apply(X1,X1)) = apply(apply(X2,apply(apply(w,apply(b,X0)),X1)),apply(X1,X1))
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f26159,plain,
( spl0_102
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f205,f181,f48,f26157]) ).
fof(f26157,plain,
( spl0_102
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),X0)),apply(X0,X1)) = apply(apply(X2,apply(apply(apply(w,b),X0),X1)),apply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f205,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),X0)),apply(X0,X1)) = apply(apply(X2,apply(apply(apply(w,b),X0),X1)),apply(X0,X1))
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f182,f49]) ).
fof(f26155,plain,
( spl0_101
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f201,f181,f109,f26153]) ).
fof(f26153,plain,
( spl0_101
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(apply(w,X0),X1))),X1) = apply(apply(X2,apply(apply(w,apply(X0,X1)),X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f201,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(apply(w,X0),X1))),X1) = apply(apply(X2,apply(apply(w,apply(X0,X1)),X1)),X1)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f182,f110]) ).
fof(f26151,plain,
( spl0_100
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f200,f181,f105,f26149]) ).
fof(f26149,plain,
( spl0_100
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(apply(X0,X1),X1))),X1) = apply(apply(X2,apply(apply(w,apply(w,X0)),X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f200,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(apply(X0,X1),X1))),X1) = apply(apply(X2,apply(apply(w,apply(w,X0)),X1)),X1)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f182,f106]) ).
fof(f26147,plain,
( spl0_99
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f193,f181,f52,f26145]) ).
fof(f193,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(b,apply(w,apply(apply(b,X0),X1)))),X2) = apply(apply(X0,apply(X1,apply(X2,X2))),apply(X2,X2))
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f26143,plain,
( spl0_98
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f171,f109,f48,f26141]) ).
fof(f26141,plain,
( spl0_98
<=> ! [X0,X1] : apply(apply(apply(w,b),apply(apply(w,X0),X1)),X1) = apply(apply(apply(w,X0),X1),apply(apply(w,apply(X0,X1)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f171,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(apply(w,X0),X1)),X1) = apply(apply(apply(w,X0),X1),apply(apply(w,apply(X0,X1)),X1))
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f49,f110]) ).
fof(f26139,plain,
( spl0_97
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f138,f105,f48,f26137]) ).
fof(f26137,plain,
( spl0_97
<=> ! [X0,X1] : apply(apply(apply(w,b),apply(apply(X0,X1),X1)),X1) = apply(apply(apply(X0,X1),X1),apply(apply(w,apply(w,X0)),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f138,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(apply(X0,X1),X1)),X1) = apply(apply(apply(X0,X1),X1),apply(apply(w,apply(w,X0)),X1))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f49,f106]) ).
fof(f26135,plain,
( spl0_96
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f74,f48,f34,f26133]) ).
fof(f26133,plain,
( spl0_96
<=> ! [X0] : apply(apply(w,w),apply(apply(w,b),X0)) = apply(apply(X0,apply(X0,apply(apply(w,b),X0))),apply(apply(w,b),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f74,plain,
( ! [X0] : apply(apply(w,w),apply(apply(w,b),X0)) = apply(apply(X0,apply(X0,apply(apply(w,b),X0))),apply(apply(w,b),X0))
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f35,f49]) ).
fof(f26131,plain,
( spl0_95
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f38,f34,f19,f26129]) ).
fof(f38,plain,
( ! [X0,X1] : apply(apply(w,w),apply(apply(b,X0),X1)) = apply(apply(X0,apply(X1,apply(apply(b,X0),X1))),apply(apply(b,X0),X1))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f35,f20]) ).
fof(f18098,plain,
( spl0_94
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f861,f662,f364,f18096]) ).
fof(f18096,plain,
( spl0_94
<=> ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(w,apply(w,apply(b,w))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f861,plain,
( ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(w,apply(w,apply(b,w))),X0)
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f663,f365]) ).
fof(f13416,plain,
( spl0_93
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f239,f181,f48,f19,f13414]) ).
fof(f13414,plain,
( spl0_93
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(apply(w,b),apply(b,X0)),X1)),X2) = apply(apply(X0,apply(X0,apply(X1,X2))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f239,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(apply(w,b),apply(b,X0)),X1)),X2) = apply(apply(X0,apply(X0,apply(X1,X2))),X2)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f189,f20]) ).
fof(f189,plain,
( ! [X2,X0,X1] : apply(apply(X0,apply(apply(apply(b,X0),X1),X2)),X2) = apply(apply(w,apply(apply(apply(w,b),apply(b,X0)),X1)),X2)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f182,f49]) ).
fof(f13412,plain,
( spl0_92
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f213,f181,f19,f13410]) ).
fof(f13410,plain,
( spl0_92
<=> ! [X0,X3,X2,X1] : apply(apply(w,apply(apply(b,apply(apply(b,X0),X1)),X2)),X3) = apply(apply(X0,apply(X1,apply(X2,X3))),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f213,plain,
( ! [X2,X3,X0,X1] : apply(apply(w,apply(apply(b,apply(apply(b,X0),X1)),X2)),X3) = apply(apply(X0,apply(X1,apply(X2,X3))),X3)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f182,f20]) ).
fof(f13408,plain,
( spl0_91
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f859,f662,f368,f13406]) ).
fof(f13406,plain,
( spl0_91
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(w,apply(b,w))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f368,plain,
( spl0_19
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f859,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(w,apply(b,w))),X0)
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f663,f369]) ).
fof(f369,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f13404,plain,
( spl0_90
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f210,f181,f48,f13402]) ).
fof(f13402,plain,
( spl0_90
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,apply(apply(w,b),X0)),X1)),X2) = apply(apply(X0,apply(X0,apply(X1,X2))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f210,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,apply(apply(w,b),X0)),X1)),X2) = apply(apply(X0,apply(X0,apply(X1,X2))),X2)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f182,f49]) ).
fof(f13400,plain,
( spl0_89
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f209,f181,f11,f13398]) ).
fof(f13398,plain,
( spl0_89
<=> ! [X2,X0,X1] : apply(apply(apply(w,X0),apply(X1,X2)),X2) = apply(apply(w,apply(apply(b,apply(X0,apply(X1,X2))),X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f209,plain,
( ! [X2,X0,X1] : apply(apply(apply(w,X0),apply(X1,X2)),X2) = apply(apply(w,apply(apply(b,apply(X0,apply(X1,X2))),X1)),X2)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f182,f12]) ).
fof(f13396,plain,
( spl0_88
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f202,f181,f19,f13394]) ).
fof(f13394,plain,
( spl0_88
<=> ! [X0,X3,X2,X1] : apply(apply(w,apply(apply(b,X3),apply(apply(b,X0),X1))),X2) = apply(apply(X3,apply(X0,apply(X1,X2))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f202,plain,
( ! [X2,X3,X0,X1] : apply(apply(w,apply(apply(b,X3),apply(apply(b,X0),X1))),X2) = apply(apply(X3,apply(X0,apply(X1,X2))),X2)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f182,f20]) ).
fof(f13392,plain,
( spl0_87
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f199,f181,f48,f13390]) ).
fof(f13390,plain,
( spl0_87
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(apply(w,b),X0))),X1) = apply(apply(X2,apply(X0,apply(X0,X1))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f199,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(apply(w,b),X0))),X1) = apply(apply(X2,apply(X0,apply(X0,X1))),X1)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f182,f49]) ).
fof(f13388,plain,
( spl0_86
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f197,f181,f52,f13386]) ).
fof(f13386,plain,
( spl0_86
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(w,apply(b,X0)))),X1) = apply(apply(X2,apply(X0,apply(X1,X1))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f197,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(w,apply(b,X0)))),X1) = apply(apply(X2,apply(X0,apply(X1,X1))),X1)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f13384,plain,
( spl0_85
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f190,f181,f52,f13382]) ).
fof(f13382,plain,
( spl0_85
<=> ! [X2,X0,X1] : apply(apply(X0,apply(apply(X1,X1),X2)),X2) = apply(apply(w,apply(apply(w,apply(b,apply(b,X0))),X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f190,plain,
( ! [X2,X0,X1] : apply(apply(X0,apply(apply(X1,X1),X2)),X2) = apply(apply(w,apply(apply(w,apply(b,apply(b,X0))),X1)),X2)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f13380,plain,
( spl0_84
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f187,f181,f13378]) ).
fof(f13378,plain,
( spl0_84
<=> ! [X2,X0,X1] : apply(apply(apply(X0,X1),apply(X1,X2)),X2) = apply(apply(w,apply(apply(w,apply(apply(b,b),X0)),X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f187,plain,
( ! [X2,X0,X1] : apply(apply(apply(X0,X1),apply(X1,X2)),X2) = apply(apply(w,apply(apply(w,apply(apply(b,b),X0)),X1)),X2)
| ~ spl0_10 ),
inference(superposition,[],[f182,f182]) ).
fof(f13376,plain,
( spl0_83
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f184,f181,f52,f13374]) ).
fof(f13374,plain,
( spl0_83
<=> ! [X2,X0,X1] : apply(apply(apply(X0,X0),apply(X1,X2)),X2) = apply(apply(w,apply(apply(apply(w,apply(b,b)),X0),X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f184,plain,
( ! [X2,X0,X1] : apply(apply(apply(X0,X0),apply(X1,X2)),X2) = apply(apply(w,apply(apply(apply(w,apply(b,b)),X0),X1)),X2)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f13372,plain,
( spl0_82
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f177,f109,f105,f13370]) ).
fof(f13370,plain,
( spl0_82
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,X0),X1))),X1) = apply(apply(w,apply(w,apply(w,apply(X0,X1)))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f177,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,X0),X1))),X1) = apply(apply(w,apply(w,apply(w,apply(X0,X1)))),X1)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f170,f106]) ).
fof(f170,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,X0),X1))),X1) = apply(apply(apply(apply(w,apply(X0,X1)),X1),X1),X1)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f106,f110]) ).
fof(f13368,plain,
( spl0_81
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f145,f105,f13366]) ).
fof(f13366,plain,
( spl0_81
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(apply(X0,X1),X1))),X1) = apply(apply(w,apply(w,apply(w,apply(w,X0)))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f145,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(apply(X0,X1),X1))),X1) = apply(apply(w,apply(w,apply(w,apply(w,X0)))),X1)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f118,f106]) ).
fof(f118,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(apply(X0,X1),X1))),X1) = apply(apply(apply(apply(w,apply(w,X0)),X1),X1),X1)
| ~ spl0_8 ),
inference(superposition,[],[f106,f106]) ).
fof(f13364,plain,
( spl0_80
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f763,f658,f364,f13362]) ).
fof(f13362,plain,
( spl0_80
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(apply(w,b),w)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f763,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(apply(w,b),w)),X0)
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f659,f365]) ).
fof(f13360,plain,
( spl0_79
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f91,f52,f48,f13358]) ).
fof(f13358,plain,
( spl0_79
<=> ! [X0,X1] : apply(apply(apply(w,b),apply(w,apply(b,X0))),X1) = apply(apply(w,apply(b,X0)),apply(X0,apply(X1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f91,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(w,apply(b,X0))),X1) = apply(apply(w,apply(b,X0)),apply(X0,apply(X1,X1)))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f49,f53]) ).
fof(f13356,plain,
( spl0_78
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f82,f52,f19,f13354]) ).
fof(f13354,plain,
( spl0_78
<=> ! [X2,X0,X1] : apply(apply(w,apply(b,X2)),apply(apply(b,X0),X1)) = apply(X2,apply(X0,apply(X1,apply(apply(b,X0),X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f82,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(b,X2)),apply(apply(b,X0),X1)) = apply(X2,apply(X0,apply(X1,apply(apply(b,X0),X1))))
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f53,f20]) ).
fof(f13352,plain,
( spl0_77
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f81,f52,f48,f13350]) ).
fof(f13350,plain,
( spl0_77
<=> ! [X0,X1] : apply(apply(w,apply(b,X1)),apply(apply(w,b),X0)) = apply(X1,apply(X0,apply(X0,apply(apply(w,b),X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f81,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X1)),apply(apply(w,b),X0)) = apply(X1,apply(X0,apply(X0,apply(apply(w,b),X0))))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f53,f49]) ).
fof(f13348,plain,
( spl0_76
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f62,f48,f13346]) ).
fof(f13346,plain,
( spl0_76
<=> ! [X0,X1] : apply(apply(apply(w,b),apply(apply(w,b),X0)),X1) = apply(X0,apply(X0,apply(apply(apply(w,b),X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f62,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(apply(w,b),X0)),X1) = apply(X0,apply(X0,apply(apply(apply(w,b),X0),X1)))
| ~ spl0_6 ),
inference(superposition,[],[f49,f49]) ).
fof(f13344,plain,
( spl0_75
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f59,f48,f19,f13342]) ).
fof(f13342,plain,
( spl0_75
<=> ! [X2,X0,X1] : apply(apply(apply(w,b),apply(apply(b,X0),X1)),X2) = apply(apply(apply(b,X0),X1),apply(X0,apply(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f59,plain,
( ! [X2,X0,X1] : apply(apply(apply(w,b),apply(apply(b,X0),X1)),X2) = apply(apply(apply(b,X0),X1),apply(X0,apply(X1,X2)))
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f49,f20]) ).
fof(f13340,plain,
( spl0_74
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f58,f48,f13338]) ).
fof(f13338,plain,
( spl0_74
<=> ! [X0,X1] : apply(apply(apply(w,b),apply(apply(w,b),X0)),X1) = apply(apply(apply(w,b),X0),apply(X0,apply(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f58,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(apply(w,b),X0)),X1) = apply(apply(apply(w,b),X0),apply(X0,apply(X0,X1)))
| ~ spl0_6 ),
inference(superposition,[],[f49,f49]) ).
fof(f11632,plain,
( spl0_73
| ~ spl0_10
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f716,f654,f368,f181,f11630]) ).
fof(f11630,plain,
( spl0_73
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(w,w),apply(b,w)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f716,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(w,w),apply(b,w)),X0)
| ~ spl0_10
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f701,f552]) ).
fof(f552,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(apply(b,w),X0)),X0)
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f369,f182]) ).
fof(f701,plain,
( ! [X0] : apply(apply(w,apply(apply(b,w),X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0)
| ~ spl0_10
| ~ spl0_21 ),
inference(superposition,[],[f182,f655]) ).
fof(f7797,plain,
( spl0_72
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f552,f368,f181,f7795]) ).
fof(f7795,plain,
( spl0_72
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(apply(b,w),X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f6120,plain,
( spl0_71
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f238,f181,f27,f19,f6118]) ).
fof(f6118,plain,
( spl0_71
<=> ! [X0] : apply(apply(w,strong_fixed_point),X0) = apply(apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0)))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f238,plain,
( ! [X0] : apply(apply(w,strong_fixed_point),X0) = apply(apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0)))),X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f237,f20]) ).
fof(f237,plain,
( ! [X0] : apply(apply(w,strong_fixed_point),X0) = apply(apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,X0))),X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f188,f20]) ).
fof(f188,plain,
( ! [X0] : apply(apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,X0)),X0) = apply(apply(w,strong_fixed_point),X0)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f182,f29]) ).
fof(f6116,plain,
( spl0_70
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f235,f181,f11,f6114]) ).
fof(f6114,plain,
( spl0_70
<=> ! [X2,X0,X1] : apply(apply(w,apply(X0,apply(X1,X2))),X2) = apply(apply(apply(w,apply(apply(b,X0),X1)),X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f235,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(X0,apply(X1,X2))),X2) = apply(apply(apply(w,apply(apply(b,X0),X1)),X2),X2)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f12,f182]) ).
fof(f6112,plain,
( spl0_69
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f219,f181,f48,f6110]) ).
fof(f6110,plain,
( spl0_69
<=> ! [X0,X1] : apply(apply(X0,X1),apply(apply(X0,X1),X1)) = apply(apply(w,apply(apply(b,apply(w,b)),X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f219,plain,
( ! [X0,X1] : apply(apply(X0,X1),apply(apply(X0,X1),X1)) = apply(apply(w,apply(apply(b,apply(w,b)),X0)),X1)
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f182,f49]) ).
fof(f6108,plain,
( spl0_68
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f198,f181,f11,f6106]) ).
fof(f6106,plain,
( spl0_68
<=> ! [X2,X0,X1] : apply(apply(X2,apply(apply(w,X0),X1)),X1) = apply(apply(w,apply(apply(b,X2),apply(X0,X1))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f198,plain,
( ! [X2,X0,X1] : apply(apply(X2,apply(apply(w,X0),X1)),X1) = apply(apply(w,apply(apply(b,X2),apply(X0,X1))),X1)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f182,f12]) ).
fof(f6104,plain,
( spl0_67
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f196,f181,f11,f6102]) ).
fof(f196,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X2),apply(w,X0))),X1) = apply(apply(X2,apply(apply(X0,X1),X1)),X1)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f182,f12]) ).
fof(f6100,plain,
( spl0_66
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f195,f181,f34,f6098]) ).
fof(f6098,plain,
( spl0_66
<=> ! [X0,X1] : apply(apply(X1,apply(apply(w,w),X0)),X0) = apply(apply(w,apply(apply(b,X1),apply(X0,X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f195,plain,
( ! [X0,X1] : apply(apply(X1,apply(apply(w,w),X0)),X0) = apply(apply(w,apply(apply(b,X1),apply(X0,X0))),X0)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f182,f35]) ).
fof(f6096,plain,
( spl0_65
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f194,f181,f34,f6094]) ).
fof(f194,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(w,w))),X0) = apply(apply(X1,apply(apply(X0,X0),X0)),X0)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f182,f35]) ).
fof(f6092,plain,
( spl0_64
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f547,f368,f52,f6090]) ).
fof(f6090,plain,
( spl0_64
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(w,apply(b,w)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f547,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(w,apply(b,w)),X0),X0)
| ~ spl0_7
| ~ spl0_19 ),
inference(superposition,[],[f369,f53]) ).
fof(f6088,plain,
( spl0_63
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f191,f181,f52,f6086]) ).
fof(f6086,plain,
( spl0_63
<=> ! [X0,X1] : apply(apply(X0,apply(apply(b,X0),X1)),X1) = apply(apply(apply(w,apply(b,w)),apply(b,X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f191,plain,
( ! [X0,X1] : apply(apply(X0,apply(apply(b,X0),X1)),X1) = apply(apply(apply(w,apply(b,w)),apply(b,X0)),X1)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f6084,plain,
( spl0_62
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f153,f109,f52,f6082]) ).
fof(f6082,plain,
( spl0_62
<=> ! [X0,X1] : apply(apply(w,apply(apply(X0,X0),X1)),X1) = apply(apply(apply(apply(w,apply(b,w)),X0),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f153,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(X0,X0),X1)),X1) = apply(apply(apply(apply(w,apply(b,w)),X0),X1),X1)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f110,f53]) ).
fof(f6080,plain,
( spl0_61
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f119,f105,f19,f6078]) ).
fof(f119,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(w,apply(apply(b,X0),X1))),X2) = apply(apply(apply(X0,apply(X1,X2)),X2),X2)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f106,f20]) ).
fof(f6076,plain,
( spl0_60
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f117,f105,f48,f6074]) ).
fof(f117,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,b),X0))),X1) = apply(apply(apply(X0,apply(X0,X1)),X1),X1)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f106,f49]) ).
fof(f6072,plain,
( spl0_59
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f115,f105,f52,f6070]) ).
fof(f6070,plain,
( spl0_59
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(w,apply(b,X0)))),X1) = apply(apply(apply(X0,apply(X1,X1)),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f115,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,apply(b,X0)))),X1) = apply(apply(apply(X0,apply(X1,X1)),X1),X1)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f106,f53]) ).
fof(f6068,plain,
( spl0_58
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f98,f52,f48,f6066]) ).
fof(f6066,plain,
( spl0_58
<=> ! [X0,X1] : apply(apply(X0,X0),apply(apply(X0,X0),X1)) = apply(apply(apply(w,apply(b,apply(w,b))),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f98,plain,
( ! [X0,X1] : apply(apply(X0,X0),apply(apply(X0,X0),X1)) = apply(apply(apply(w,apply(b,apply(w,b))),X0),X1)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f49,f53]) ).
fof(f6064,plain,
( spl0_57
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f96,f52,f34,f6062]) ).
fof(f6062,plain,
( spl0_57
<=> ! [X0] : apply(apply(w,w),apply(X0,X0)) = apply(apply(apply(w,apply(b,apply(X0,X0))),X0),apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f96,plain,
( ! [X0] : apply(apply(w,w),apply(X0,X0)) = apply(apply(apply(w,apply(b,apply(X0,X0))),X0),apply(X0,X0))
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f35,f53]) ).
fof(f6060,plain,
( spl0_56
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f84,f52,f34,f6058]) ).
fof(f6058,plain,
( spl0_56
<=> ! [X0] : apply(apply(w,w),apply(X0,X0)) = apply(apply(w,apply(b,apply(apply(X0,X0),apply(X0,X0)))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f84,plain,
( ! [X0] : apply(apply(w,w),apply(X0,X0)) = apply(apply(w,apply(b,apply(apply(X0,X0),apply(X0,X0)))),X0)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f53,f35]) ).
fof(f6056,plain,
( spl0_55
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f83,f52,f6054]) ).
fof(f6054,plain,
( spl0_55
<=> ! [X0,X1] : apply(apply(w,apply(b,X1)),apply(X0,X0)) = apply(X1,apply(apply(w,apply(b,apply(X0,X0))),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f83,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X1)),apply(X0,X0)) = apply(X1,apply(apply(w,apply(b,apply(X0,X0))),X0))
| ~ spl0_7 ),
inference(superposition,[],[f53,f53]) ).
fof(f6052,plain,
( spl0_54
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f80,f52,f6050]) ).
fof(f6050,plain,
( spl0_54
<=> ! [X0,X1] : apply(apply(w,apply(b,apply(w,apply(b,X0)))),X1) = apply(X0,apply(apply(X1,X1),apply(X1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f80,plain,
( ! [X0,X1] : apply(apply(w,apply(b,apply(w,apply(b,X0)))),X1) = apply(X0,apply(apply(X1,X1),apply(X1,X1)))
| ~ spl0_7 ),
inference(superposition,[],[f53,f53]) ).
fof(f6048,plain,
( spl0_53
| ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f529,f364,f181,f11,f6046]) ).
fof(f6046,plain,
( spl0_53
<=> ! [X0] : apply(apply(w,apply(X0,X0)),X0) = apply(apply(w,apply(apply(w,b),w)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f529,plain,
( ! [X0] : apply(apply(w,apply(X0,X0)),X0) = apply(apply(w,apply(apply(w,b),w)),X0)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f477,f12]) ).
fof(f477,plain,
( ! [X0] : apply(apply(w,apply(X0,X0)),X0) = apply(apply(w,apply(apply(b,w),w)),X0)
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f365,f182]) ).
fof(f6044,plain,
( spl0_52
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f75,f48,f19,f6042]) ).
fof(f6042,plain,
( spl0_52
<=> ! [X2,X0,X1] : apply(apply(apply(w,b),apply(apply(b,X0),X1)),X2) = apply(X0,apply(X1,apply(X0,apply(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f75,plain,
( ! [X2,X0,X1] : apply(apply(apply(w,b),apply(apply(b,X0),X1)),X2) = apply(X0,apply(X1,apply(X0,apply(X1,X2))))
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f63,f20]) ).
fof(f63,plain,
( ! [X2,X0,X1] : apply(apply(apply(w,b),apply(apply(b,X0),X1)),X2) = apply(X0,apply(X1,apply(apply(apply(b,X0),X1),X2)))
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f49,f20]) ).
fof(f3370,plain,
( spl0_51
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f509,f364,f181,f3368]) ).
fof(f3368,plain,
( spl0_51
<=> ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(apply(b,w),X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f509,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(apply(b,w),X0)),X1)
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f365,f182]) ).
fof(f1456,plain,
( spl0_50
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f457,f360,f109,f52,f1454]) ).
fof(f1454,plain,
( spl0_50
<=> ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(apply(w,apply(b,w)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f457,plain,
( ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(apply(w,apply(b,w)),X0),X0)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f427,f110]) ).
fof(f427,plain,
( ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(apply(w,apply(b,w)),X0),X0)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f361,f53]) ).
fof(f1113,plain,
( spl0_49
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f253,f249,f19,f1111]) ).
fof(f253,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,X0)))
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f250,f20]) ).
fof(f1109,plain,
( spl0_48
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f228,f181,f19,f1107]) ).
fof(f228,plain,
( ! [X2,X0,X1] : apply(apply(X0,X1),apply(X1,X2)) = apply(apply(apply(w,apply(apply(b,b),X0)),X1),X2)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f20,f182]) ).
fof(f1105,plain,
( spl0_47
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f220,f181,f19,f1103]) ).
fof(f220,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,apply(b,X0)),X1)),X2) = apply(X0,apply(apply(X1,X2),X2))
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f182,f20]) ).
fof(f1101,plain,
( spl0_46
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f192,f181,f1099]) ).
fof(f192,plain,
( ! [X0,X1] : apply(apply(X0,apply(X1,X1)),X1) = apply(apply(w,apply(apply(b,w),apply(b,X0))),X1)
| ~ spl0_10 ),
inference(superposition,[],[f182,f182]) ).
fof(f1097,plain,
( spl0_45
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f168,f109,f105,f1095]) ).
fof(f168,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(apply(w,apply(X0,X1)),X1),X1)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f106,f110]) ).
fof(f1093,plain,
( spl0_44
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f160,f109,f34,f1091]) ).
fof(f160,plain,
( ! [X0] : apply(apply(w,w),apply(w,X0)) = apply(apply(w,apply(X0,apply(w,X0))),apply(w,X0))
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f110,f35]) ).
fof(f1089,plain,
( spl0_43
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f128,f105,f1087]) ).
fof(f128,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(X0,X1))),X1) = apply(apply(apply(w,apply(w,X0)),X1),X1)
| ~ spl0_8 ),
inference(superposition,[],[f106,f106]) ).
fof(f1085,plain,
( spl0_42
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f297,f269,f105,f1082]) ).
fof(f1082,plain,
( spl0_42
<=> apply(apply(w,apply(w,apply(w,w))),b) = apply(apply(b,apply(b,b)),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f297,plain,
( apply(apply(w,apply(w,apply(w,w))),b) = apply(apply(b,apply(b,b)),b)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f106,f270]) ).
fof(f1080,plain,
( spl0_41
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f101,f52,f19,f1078]) ).
fof(f101,plain,
( ! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(w,apply(b,apply(b,X0))),X1),X2)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f20,f53]) ).
fof(f1076,plain,
( spl0_40
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f97,f52,f19,f1074]) ).
fof(f1074,plain,
( spl0_40
<=> ! [X2,X0,X1] : apply(apply(X0,X0),apply(X1,X2)) = apply(apply(apply(apply(w,apply(b,b)),X0),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f97,plain,
( ! [X2,X0,X1] : apply(apply(X0,X0),apply(X1,X2)) = apply(apply(apply(apply(w,apply(b,b)),X0),X1),X2)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f20,f53]) ).
fof(f1072,plain,
( spl0_39
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f95,f52,f11,f1070]) ).
fof(f1070,plain,
( spl0_39
<=> ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(apply(w,apply(b,X0)),X1),apply(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f95,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(apply(w,apply(b,X0)),X1),apply(X1,X1))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f12,f53]) ).
fof(f1068,plain,
( spl0_38
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f94,f52,f48,f1066]) ).
fof(f94,plain,
( ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X1,X1)) = apply(X0,apply(apply(w,apply(b,X0)),X1))
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f49,f53]) ).
fof(f1064,plain,
( spl0_37
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f88,f52,f19,f1062]) ).
fof(f1062,plain,
( spl0_37
<=> ! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,X2))) = apply(apply(w,apply(b,apply(apply(b,X0),X1))),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1060,plain,
( spl0_36
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f87,f52,f48,f1058]) ).
fof(f1058,plain,
( spl0_36
<=> ! [X0,X1] : apply(X0,apply(X0,apply(X1,X1))) = apply(apply(w,apply(b,apply(apply(w,b),X0))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f87,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X1,X1))) = apply(apply(w,apply(b,apply(apply(w,b),X0))),X1)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f53,f49]) ).
fof(f1056,plain,
( spl0_35
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f86,f52,f11,f1054]) ).
fof(f86,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(w,apply(b,apply(X0,apply(X1,X1)))),X1)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f53,f12]) ).
fof(f1052,plain,
( spl0_34
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f78,f52,f1050]) ).
fof(f78,plain,
( ! [X0,X1] : apply(apply(X0,X0),apply(X1,X1)) = apply(apply(w,apply(apply(w,apply(b,b)),X0)),X1)
| ~ spl0_7 ),
inference(superposition,[],[f53,f53]) ).
fof(f1048,plain,
( spl0_33
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f76,f48,f19,f1046]) ).
fof(f76,plain,
( ! [X2,X0,X1] : apply(apply(apply(apply(w,b),apply(b,X0)),X1),X2) = apply(X0,apply(X0,apply(X1,X2)))
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f69,f20]) ).
fof(f69,plain,
( ! [X2,X0,X1] : apply(X0,apply(apply(apply(b,X0),X1),X2)) = apply(apply(apply(apply(w,b),apply(b,X0)),X1),X2)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f20,f49]) ).
fof(f1044,plain,
( spl0_32
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f68,f48,f11,f1042]) ).
fof(f1042,plain,
( spl0_32
<=> ! [X0,X1] : apply(apply(w,X0),apply(X0,X1)) = apply(apply(apply(apply(w,b),X0),X1),apply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f68,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(X0,X1)) = apply(apply(apply(apply(w,b),X0),X1),apply(X0,X1))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f12,f49]) ).
fof(f1026,plain,
( spl0_31
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f65,f48,f34,f1023]) ).
fof(f1023,plain,
( spl0_31
<=> apply(apply(w,w),apply(w,b)) = apply(apply(w,b),apply(apply(w,b),apply(w,b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f65,plain,
( apply(apply(w,w),apply(w,b)) = apply(apply(w,b),apply(apply(w,b),apply(w,b)))
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f49,f35]) ).
fof(f1021,plain,
( spl0_30
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f61,f48,f1019]) ).
fof(f61,plain,
( ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X0,X1)) = apply(X0,apply(apply(apply(w,b),X0),X1))
| ~ spl0_6 ),
inference(superposition,[],[f49,f49]) ).
fof(f1017,plain,
( spl0_29
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f57,f48,f11,f1015]) ).
fof(f57,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(X0,X1)),X1) = apply(apply(X0,X1),apply(apply(w,X0),X1))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f49,f12]) ).
fof(f1013,plain,
( spl0_28
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f56,f48,f11,f1011]) ).
fof(f56,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(w,X0)),X1) = apply(apply(w,X0),apply(apply(X0,X1),X1))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f49,f12]) ).
fof(f1009,plain,
( spl0_27
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f48,f34,f1007]) ).
fof(f55,plain,
( ! [X0] : apply(apply(apply(w,b),apply(X0,X0)),X0) = apply(apply(X0,X0),apply(apply(w,w),X0))
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f49,f35]) ).
fof(f677,plain,
( spl0_26
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f591,f372,f364,f674]) ).
fof(f674,plain,
( spl0_26
<=> apply(b,apply(b,b)) = apply(apply(w,apply(w,apply(b,w))),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f591,plain,
( apply(b,apply(b,b)) = apply(apply(w,apply(w,apply(b,w))),b)
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f373,f365]) ).
fof(f672,plain,
( spl0_25
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f185,f181,f34,f670]) ).
fof(f670,plain,
( spl0_25
<=> ! [X0] : apply(apply(b,apply(b,X0)),X0) = apply(apply(w,apply(apply(w,w),b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f185,plain,
( ! [X0] : apply(apply(b,apply(b,X0)),X0) = apply(apply(w,apply(apply(w,w),b)),X0)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f182,f35]) ).
fof(f668,plain,
( spl0_24
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f127,f105,f48,f666]) ).
fof(f666,plain,
( spl0_24
<=> ! [X0] : apply(apply(w,apply(w,apply(w,b))),X0) = apply(apply(X0,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f127,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,b))),X0) = apply(apply(X0,apply(X0,X0)),X0)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f106,f49]) ).
fof(f664,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f92,f52,f11,f662]) ).
fof(f92,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f12,f53]) ).
fof(f660,plain,
( spl0_22
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f73,f48,f11,f658]) ).
fof(f73,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(w,b),X0)),X1) = apply(apply(X0,apply(X0,X1)),X1)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f12,f49]) ).
fof(f656,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f40,f34,f19,f654]) ).
fof(f40,plain,
( ! [X0] : apply(X0,apply(apply(b,X0),apply(b,X0))) = apply(apply(w,w),apply(b,X0))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f35,f20]) ).
fof(f374,plain,
( spl0_20
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f218,f181,f52,f372]) ).
fof(f218,plain,
( ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f182,f53]) ).
fof(f370,plain,
( spl0_19
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f162,f109,f105,f368]) ).
fof(f162,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f110,f106]) ).
fof(f366,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f132,f105,f11,f364]) ).
fof(f362,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f46,f34,f11,f360]) ).
fof(f46,plain,
( ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f12,f35]) ).
fof(f358,plain,
( spl0_16
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f42,f34,f11,f356]) ).
fof(f42,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(X0,X0),X0),X0)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f12,f35]) ).
fof(f291,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f131,f105,f48,f288]) ).
fof(f131,plain,
( apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f106,f49]) ).
fof(f286,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f66,f48,f11,f284]) ).
fof(f66,plain,
( ! [X0] : apply(apply(w,apply(w,b)),X0) = apply(X0,apply(X0,X0))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f49,f12]) ).
fof(f271,plain,
( spl0_13
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f44,f34,f19,f269]) ).
fof(f44,plain,
( ! [X0] : apply(b,apply(b,X0)) = apply(apply(apply(w,w),b),X0)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f20,f35]) ).
fof(f267,plain,
( spl0_12
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f32,f27,f11,f264]) ).
fof(f32,plain,
( apply(apply(w,apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b))),b) = apply(strong_fixed_point,b)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f12,f29]) ).
fof(f251,plain,
( spl0_11
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f31,f27,f19,f249]) ).
fof(f31,plain,
( ! [X0] : apply(apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b),apply(b,X0)) = apply(strong_fixed_point,X0)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f20,f29]) ).
fof(f183,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f25,f19,f11,f181]) ).
fof(f25,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f12,f20]) ).
fof(f111,plain,
( spl0_9
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f16,f11,f109]) ).
fof(f16,plain,
( ! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_2 ),
inference(superposition,[],[f12,f12]) ).
fof(f107,plain,
( spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f15,f11,f105]) ).
fof(f15,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1)
| ~ spl0_2 ),
inference(superposition,[],[f12,f12]) ).
fof(f54,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f23,f19,f11,f52]) ).
fof(f23,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f20,f12]) ).
fof(f50,plain,
( spl0_6
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f22,f19,f11,f48]) ).
fof(f22,plain,
( ! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,b),X0),X1)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f20,f12]) ).
fof(f36,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f14,f11,f34]) ).
fof(f14,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0)
| ~ spl0_2 ),
inference(superposition,[],[f12,f12]) ).
fof(f30,plain,
spl0_4,
inference(avatar_split_clause,[],[f3,f27]) ).
fof(f3,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f21,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f19]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f13,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f11]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f4,f6]) ).
fof(f4,axiom,
apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL003-17 : TPTP v8.2.0. Released v2.1.0.
% 0.11/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 15:57:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.41 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26154)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.20/0.41 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26153)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.20/0.41 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26151)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.20/0.41 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26155)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.20/0.41 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26150)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.20/0.41 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26156)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (26149)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.20/0.41 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.42 TRYING [10]
% 0.20/0.42 TRYING [4]
% 0.20/0.45 TRYING [5]
% 0.20/0.46 % (26156)Instruction limit reached!
% 0.20/0.46 % (26156)------------------------------
% 0.20/0.46 % (26156)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.46 % (26156)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.46 % (26156)Termination reason: Time limit
% 0.20/0.46 % (26156)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (26156)Memory used [KB]: 1217
% 0.20/0.46 % (26156)Time elapsed: 0.052 s
% 0.20/0.46 % (26156)Instructions burned: 117 (million)
% 0.20/0.47 % (26154)Instruction limit reached!
% 0.20/0.47 % (26154)------------------------------
% 0.20/0.47 % (26154)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (26154)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (26154)Termination reason: Time limit
% 0.20/0.47 % (26154)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (26154)Memory used [KB]: 1662
% 0.20/0.47 % (26154)Time elapsed: 0.058 s
% 0.20/0.47 % (26154)Instructions burned: 105 (million)
% 0.20/0.48 % (26155)Instruction limit reached!
% 0.20/0.48 % (26155)------------------------------
% 0.20/0.48 % (26155)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (26155)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (26155)Termination reason: Time limit
% 0.20/0.48 % (26155)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (26155)Memory used [KB]: 2143
% 0.20/0.48 % (26155)Time elapsed: 0.069 s
% 0.20/0.48 % (26155)Instructions burned: 146 (million)
% 0.20/0.50 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (26157)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.20/0.50 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (26158)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.20/0.51 TRYING [23]
% 0.20/0.51 % (26148)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (26159)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.20/0.55 TRYING [6]
% 0.20/0.55 % (26158)Instruction limit reached!
% 0.20/0.55 % (26158)------------------------------
% 0.20/0.55 % (26158)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.55 % (26158)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.55 % (26158)Termination reason: Time limit
% 0.20/0.55 % (26158)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (26158)Memory used [KB]: 1366
% 0.20/0.55 % (26158)Time elapsed: 0.074 s
% 0.20/0.55 % (26158)Instructions burned: 176 (million)
% 1.66/0.59 % (26148)Running in auto input_syntax mode. Trying TPTP
% 1.66/0.59 % (26160)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.78/0.61 % (26159)Instruction limit reached!
% 1.78/0.61 % (26159)------------------------------
% 1.78/0.61 % (26159)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.78/0.61 % (26159)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.78/0.61 % (26159)Termination reason: Time limit
% 1.78/0.61 % (26159)Termination phase: Saturation
% 1.78/0.61
% 1.78/0.61 % (26159)Memory used [KB]: 2720
% 1.78/0.61 % (26159)Time elapsed: 0.119 s
% 1.78/0.61 % (26159)Instructions burned: 272 (million)
% 1.78/0.61 % (26157)Instruction limit reached!
% 1.78/0.61 % (26157)------------------------------
% 1.78/0.61 % (26157)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.78/0.61 % (26157)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.78/0.61 % (26157)Termination reason: Time limit
% 1.78/0.61 % (26157)Termination phase: Saturation
% 1.78/0.61
% 1.78/0.61 % (26157)Memory used [KB]: 3144
% 1.78/0.61 % (26157)Time elapsed: 0.138 s
% 1.78/0.61 % (26157)Instructions burned: 405 (million)
% 2.02/0.65 % (26148)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.65 % (26162)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 2.02/0.65 % (26148)Running in auto input_syntax mode. Trying TPTP
% 2.02/0.65 % (26161)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.02/0.65 TRYING [1]
% 2.02/0.65 TRYING [2]
% 2.02/0.65 TRYING [3]
% 2.02/0.65 TRYING [4]
% 2.02/0.67 TRYING [5]
% 2.36/0.76 TRYING [6]
% 3.21/0.88 % (26160)Instruction limit reached!
% 3.21/0.88 % (26160)------------------------------
% 3.21/0.88 % (26160)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.21/0.89 % (26160)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.21/0.89 % (26160)Termination reason: Time limit
% 3.21/0.89 % (26160)Termination phase: Saturation
% 3.21/0.89
% 3.21/0.89 % (26160)Memory used [KB]: 6653
% 3.21/0.89 % (26160)Time elapsed: 0.322 s
% 3.21/0.89 % (26160)Instructions burned: 902 (million)
% 3.35/0.92 % (26148)Running in auto input_syntax mode. Trying TPTP
% 3.35/0.92 % (26163)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 5.16/1.10 TRYING [7]
% 6.18/1.30 TRYING [7]
% 6.84/1.33 % (26163)Instruction limit reached!
% 6.84/1.33 % (26163)------------------------------
% 6.84/1.33 % (26163)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.84/1.33 % (26163)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.84/1.33 % (26163)Termination reason: Time limit
% 6.84/1.33 % (26163)Termination phase: Saturation
% 6.84/1.33
% 6.84/1.33 % (26163)Memory used [KB]: 7492
% 6.84/1.33 % (26163)Time elapsed: 0.408 s
% 6.84/1.33 % (26163)Instructions burned: 1188 (million)
% 6.84/1.36 % (26162)Instruction limit reached!
% 6.84/1.36 % (26162)------------------------------
% 6.84/1.36 % (26162)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.84/1.36 % (26162)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.84/1.36 % (26162)Termination reason: Time limit
% 6.84/1.36 % (26162)Termination phase: Saturation
% 6.84/1.36
% 6.84/1.36 % (26162)Memory used [KB]: 11248
% 6.84/1.36 % (26162)Time elapsed: 0.735 s
% 6.84/1.36 % (26162)Instructions burned: 2146 (million)
% 6.84/1.36 % (26148)Running in auto input_syntax mode. Trying TPTP
% 6.84/1.36 % (26164)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2990ds/23580Mi)
% 6.84/1.36 TRYING [1]
% 6.84/1.36 TRYING [2]
% 6.84/1.36 TRYING [3]
% 6.84/1.36 TRYING [4]
% 6.84/1.38 TRYING [5]
% 6.84/1.39 % (26148)Running in auto input_syntax mode. Trying TPTP
% 6.84/1.39 % (26165)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2989ds/2892Mi)
% 7.29/1.42 TRYING [17]
% 7.29/1.46 TRYING [6]
% 10.30/1.86 TRYING [7]
% 10.95/1.96 % (26165)Instruction limit reached!
% 10.95/1.96 % (26165)------------------------------
% 10.95/1.96 % (26165)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.95/1.96 % (26165)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.95/1.96 % (26165)Termination reason: Time limit
% 10.95/1.96 % (26165)Termination phase: Finite model building constraint generation
% 10.95/1.96
% 10.95/1.96 % (26165)Memory used [KB]: 187395
% 10.95/1.96 % (26165)Time elapsed: 0.571 s
% 10.95/1.96 % (26165)Instructions burned: 2895 (million)
% 11.52/2.01 % (26148)Running in auto input_syntax mode. Trying TPTP
% 11.52/2.01 % (26166)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2983ds/1693Mi)
% 15.16/2.57 % (26166)Instruction limit reached!
% 15.16/2.57 % (26166)------------------------------
% 15.16/2.57 % (26166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.16/2.57 % (26166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.16/2.57 % (26166)Termination reason: Time limit
% 15.16/2.57 % (26166)Termination phase: Saturation
% 15.16/2.57
% 15.16/2.57 % (26166)Memory used [KB]: 8957
% 15.16/2.57 % (26166)Time elapsed: 0.566 s
% 15.16/2.57 % (26166)Instructions burned: 1693 (million)
% 15.79/2.60 % (26148)Running in auto input_syntax mode. Trying TPTP
% 15.79/2.60 % (26167)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2977ds/1735Mi)
% 17.95/2.96 % (26161)Instruction limit reached!
% 17.95/2.96 % (26161)------------------------------
% 17.95/2.96 % (26161)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.95/2.96 % (26161)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.95/2.96 % (26161)Termination reason: Time limit
% 17.95/2.96 % (26161)Termination phase: Finite model building SAT solving
% 17.95/2.96
% 17.95/2.96 % (26161)Memory used [KB]: 3507
% 17.95/2.96 % (26161)Time elapsed: 2.318 s
% 17.95/2.96 % (26161)Instructions burned: 7859 (million)
% 18.52/3.00 % (26148)Running in auto input_syntax mode. Trying TPTP
% 18.52/3.00 % (26168)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2973ds/131798Mi)
% 18.52/3.00 TRYING [4]
% 18.52/3.01 % (26167)Instruction limit reached!
% 18.52/3.01 % (26167)------------------------------
% 18.52/3.01 % (26167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.52/3.01 % (26167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.52/3.01 % (26167)Termination reason: Time limit
% 18.52/3.01 % (26167)Termination phase: Saturation
% 18.52/3.01
% 18.52/3.01 % (26167)Memory used [KB]: 8377
% 18.52/3.01 % (26167)Time elapsed: 0.403 s
% 18.52/3.01 % (26167)Instructions burned: 1737 (million)
% 18.52/3.02 TRYING [5]
% 18.52/3.04 % (26148)Running in auto input_syntax mode. Trying TPTP
% 18.52/3.04 % (26169)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2973ds/3451Mi)
% 18.52/3.06 TRYING [16]
% 19.09/3.10 TRYING [6]
% 22.64/3.59 TRYING [7]
% 24.26/3.82 % (26169)Instruction limit reached!
% 24.26/3.82 % (26169)------------------------------
% 24.26/3.82 % (26169)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 24.26/3.82 % (26169)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 24.26/3.82 % (26169)Termination reason: Time limit
% 24.26/3.82 % (26169)Termination phase: Finite model building constraint generation
% 24.26/3.82
% 24.26/3.82 % (26169)Memory used [KB]: 148240
% 24.26/3.82 % (26169)Time elapsed: 0.786 s
% 24.26/3.82 % (26169)Instructions burned: 3453 (million)
% 24.26/3.87 % (26148)Running in auto input_syntax mode. Trying TPTP
% 24.26/3.87 % (26170)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2965ds/3978Mi)
% 33.95/5.20 % (26170)Instruction limit reached!
% 33.95/5.20 % (26170)------------------------------
% 33.95/5.20 % (26170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.95/5.20 % (26170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.95/5.20 % (26170)Termination reason: Time limit
% 33.95/5.20 % (26170)Termination phase: Saturation
% 33.95/5.20
% 33.95/5.20 % (26170)Memory used [KB]: 16867
% 33.95/5.20 % (26170)Time elapsed: 1.329 s
% 33.95/5.20 % (26170)Instructions burned: 3980 (million)
% 34.00/5.23 % (26148)Running in auto input_syntax mode. Trying TPTP
% 34.00/5.23 % (26171)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2951ds/33091Mi)
% 38.95/5.91 TRYING [8]
% 41.76/6.39 TRYING [8]
% 57.30/8.56 TRYING [8]
% 62.08/9.28 % (26150)First to succeed.
% 62.08/9.29 % (26150)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26148"
% 62.73/9.30 % (26148)Running in auto input_syntax mode. Trying TPTP
% 62.73/9.30 % (26150)Refutation found. Thanks to Tanya!
% 62.73/9.30 % SZS status Unsatisfiable for theBenchmark
% 62.73/9.30 % SZS output start Proof for theBenchmark
% See solution above
% 62.73/9.30 % (26150)------------------------------
% 62.73/9.30 % (26150)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 62.73/9.30 % (26150)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 62.73/9.30 % (26150)Termination reason: Refutation
% 62.73/9.30
% 62.73/9.30 % (26150)Memory used [KB]: 76718
% 62.73/9.30 % (26150)Time elapsed: 8.867 s
% 62.73/9.30 % (26150)Instructions burned: 21615 (million)
% 62.73/9.30 % (26150)------------------------------
% 62.73/9.30 % (26150)------------------------------
% 62.73/9.30 % (26148)Success in time 8.927 s
%------------------------------------------------------------------------------