TSTP Solution File: COL003-18 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL003-18 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:45:30 EDT 2024
% Result : Unsatisfiable 119.47s 17.46s
% Output : Refutation 119.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 185
% Syntax : Number of formulae : 633 ( 11 unt; 0 def)
% Number of atoms : 1660 ( 449 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1874 ( 847 ~; 846 |; 0 &)
% ( 181 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 183 ( 181 usr; 182 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 775 ( 775 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93467,plain,
$false,
inference(avatar_sat_refutation,[],[f11,f15,f23,f32,f38,f52,f56,f109,f113,f186,f255,f260,f273,f278,f291,f296,f363,f367,f371,f375,f379,f661,f665,f669,f673,f678,f682,f686,f1023,f1027,f1045,f1049,f1054,f1058,f1062,f1066,f1070,f1074,f1078,f1082,f1087,f1091,f1095,f1099,f1103,f1107,f1111,f1115,f1119,f1123,f1174,f3034,f6041,f6045,f6049,f6053,f6057,f6061,f6065,f6069,f6073,f6077,f6081,f6085,f6089,f6093,f6097,f6101,f6105,f6109,f6113,f6117,f7113,f11374,f13327,f13331,f13335,f13339,f13343,f13347,f13351,f13355,f13359,f13363,f13367,f13371,f13375,f13379,f13383,f13387,f13391,f13395,f13399,f13403,f17761,f26129,f26133,f26137,f26141,f26145,f26149,f26153,f26157,f26161,f26413,f26417,f26421,f26425,f26429,f26433,f29222,f39419,f39423,f39427,f39431,f39435,f43931,f44226,f44230,f44234,f48030,f48034,f48193,f48318,f48322,f49243,f49247,f49252,f49894,f50057,f50340,f50346,f57354,f57358,f57362,f57367,f57371,f57375,f57379,f57383,f57387,f57391,f57395,f57399,f57403,f57407,f57411,f58417,f58421,f58425,f58429,f58433,f58437,f58441,f58445,f58449,f58453,f58457,f58461,f58466,f58470,f58474,f58478,f58482,f58486,f58490,f58494,f58498,f58502,f58506,f58510,f58514,f58518,f58522,f71724,f87140,f92903,f92907,f92911,f92915,f92919,f93244]) ).
fof(f93244,plain,
( spl0_1
| ~ spl0_176 ),
inference(avatar_contradiction_clause,[],[f93243]) ).
fof(f93243,plain,
( $false
| spl0_1
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f93242]) ).
fof(f93242,plain,
( apply(strong_fixed_point,fixed_pt) != apply(strong_fixed_point,fixed_pt)
| spl0_1
| ~ spl0_176 ),
inference(superposition,[],[f10,f87139]) ).
fof(f87139,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0))
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f87138]) ).
fof(f87138,plain,
( spl0_176
<=> ! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f10,plain,
( apply(strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(strong_fixed_point,fixed_pt))
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,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(f92919,plain,
( spl0_181
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f484,f369,f289,f92917]) ).
fof(f92917,plain,
( spl0_181
<=> ! [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_181])]) ).
fof(f289,plain,
( spl0_15
<=> ! [X0] : apply(apply(w,apply(w,b)),X0) = apply(X0,apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f369,plain,
( spl0_19
<=> ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(X0,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f484,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,apply(w,b)))),X0) = apply(apply(w,apply(X0,apply(X0,X0))),X0)
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f370,f290]) ).
fof(f290,plain,
( ! [X0] : apply(apply(w,apply(w,b)),X0) = apply(X0,apply(X0,X0))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f370,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f92915,plain,
( spl0_180
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f351,f289,f21,f92913]) ).
fof(f92913,plain,
( spl0_180
<=> ! [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_180])]) ).
fof(f21,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(f351,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_15 ),
inference(forward_demodulation,[],[f339,f22]) ).
fof(f22,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f339,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_15 ),
inference(superposition,[],[f22,f290]) ).
fof(f92911,plain,
( spl0_179
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f327,f289,f107,f92909]) ).
fof(f92909,plain,
( spl0_179
<=> ! [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_179])]) ).
fof(f107,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(f327,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_15 ),
inference(superposition,[],[f108,f290]) ).
fof(f108,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f92907,plain,
( spl0_178
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f313,f271,f50,f92905]) ).
fof(f92905,plain,
( spl0_178
<=> ! [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_178])]) ).
fof(f50,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(f271,plain,
( spl0_13
<=> ! [X0] : apply(apply(apply(w,w),b),X0) = apply(b,apply(b,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f313,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,[],[f299,f272]) ).
fof(f272,plain,
( ! [X0] : apply(apply(apply(w,w),b),X0) = apply(b,apply(b,X0))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f299,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,[],[f272,f51]) ).
fof(f51,plain,
( ! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,b),X0),X1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f92903,plain,
( spl0_177
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f305,f271,f107,f92901]) ).
fof(f92901,plain,
( spl0_177
<=> ! [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_177])]) ).
fof(f305,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,[],[f108,f272]) ).
fof(f87140,plain,
( spl0_176
| ~ spl0_28
| ~ spl0_96
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f84441,f58492,f26127,f684,f87138]) ).
fof(f684,plain,
( spl0_28
<=> ! [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_28])]) ).
fof(f26127,plain,
( spl0_96
<=> ! [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_96])]) ).
fof(f58492,plain,
( spl0_167
<=> ! [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_167])]) ).
fof(f84441,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(X0,apply(strong_fixed_point,X0))
| ~ spl0_28
| ~ spl0_96
| ~ spl0_167 ),
inference(forward_demodulation,[],[f84223,f685]) ).
fof(f685,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0))))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f84223,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_96
| ~ spl0_167 ),
inference(superposition,[],[f58493,f26128]) ).
fof(f26128,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_96 ),
inference(avatar_component_clause,[],[f26127]) ).
fof(f58493,plain,
( ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(w,apply(apply(b,apply(b,X1)),X0)),X0)
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f58492]) ).
fof(f71724,plain,
( spl0_175
| ~ spl0_19
| ~ spl0_62
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f65097,f57397,f6075,f369,f71722]) ).
fof(f71722,plain,
( spl0_175
<=> ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(apply(w,apply(w,b)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f6075,plain,
( spl0_62
<=> ! [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_62])]) ).
fof(f57397,plain,
( spl0_144
<=> ! [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_144])]) ).
fof(f65097,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(apply(w,apply(w,b)),X0),X0)
| ~ spl0_19
| ~ spl0_62
| ~ spl0_144 ),
inference(forward_demodulation,[],[f64694,f370]) ).
fof(f64694,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(apply(w,apply(b,X0)),X0),X0)
| ~ spl0_62
| ~ spl0_144 ),
inference(superposition,[],[f57398,f6076]) ).
fof(f6076,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_62 ),
inference(avatar_component_clause,[],[f6075]) ).
fof(f57398,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(w,apply(w,apply(apply(b,w),b))),X0)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f57397]) ).
fof(f58522,plain,
( spl0_174
| ~ spl0_3
| ~ spl0_4
| ~ spl0_13
| ~ spl0_28
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f29761,f26143,f684,f271,f29,f21,f58520]) ).
fof(f58520,plain,
( spl0_174
<=> ! [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_174])]) ).
fof(f29,plain,
( spl0_4
<=> strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(w,w),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f26143,plain,
( spl0_100
<=> ! [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_100])]) ).
fof(f29761,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_13
| ~ spl0_28
| ~ spl0_100 ),
inference(forward_demodulation,[],[f29760,f685]) ).
fof(f29760,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_13
| ~ spl0_100 ),
inference(forward_demodulation,[],[f29759,f272]) ).
fof(f29759,plain,
( ! [X0] : apply(apply(w,apply(b,apply(w,strong_fixed_point))),X0) = apply(apply(apply(w,w),apply(apply(b,w),apply(apply(apply(w,w),b),apply(X0,X0)))),apply(X0,X0))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_100 ),
inference(forward_demodulation,[],[f29254,f22]) ).
fof(f29254,plain,
( ! [X0] : apply(apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(apply(w,w),b),apply(X0,X0))),apply(X0,X0)) = apply(apply(w,apply(b,apply(w,strong_fixed_point))),X0)
| ~ spl0_4
| ~ spl0_100 ),
inference(superposition,[],[f26144,f31]) ).
fof(f31,plain,
( strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(w,w),b))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f26144,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_100 ),
inference(avatar_component_clause,[],[f26143]) ).
fof(f58518,plain,
( spl0_173
| ~ spl0_10
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f11642,f6099,f184,f58516]) ).
fof(f58516,plain,
( spl0_173
<=> ! [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_173])]) ).
fof(f184,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(f6099,plain,
( spl0_68
<=> ! [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_68])]) ).
fof(f11642,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_68 ),
inference(superposition,[],[f6100,f185]) ).
fof(f185,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,[],[f184]) ).
fof(f6100,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_68 ),
inference(avatar_component_clause,[],[f6099]) ).
fof(f58514,plain,
( spl0_172
| ~ spl0_10
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f10941,f6091,f184,f58512]) ).
fof(f58512,plain,
( spl0_172
<=> ! [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_172])]) ).
fof(f6091,plain,
( spl0_66
<=> ! [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_66])]) ).
fof(f10941,plain,
( ! [X0,X1] : apply(apply(X0,apply(apply(X1,X1),X1)),X1) = apply(apply(X0,apply(apply(w,w),X1)),X1)
| ~ spl0_10
| ~ spl0_66 ),
inference(superposition,[],[f6092,f185]) ).
fof(f6092,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(w,w))),X0) = apply(apply(X1,apply(apply(X0,X0),X0)),X0)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f6091]) ).
fof(f58510,plain,
( spl0_171
| ~ spl0_2
| ~ spl0_3
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f9506,f6071,f21,f13,f58508]) ).
fof(f58508,plain,
( spl0_171
<=> ! [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_171])]) ).
fof(f13,plain,
( spl0_2
<=> ! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f6071,plain,
( spl0_61
<=> ! [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_61])]) ).
fof(f9506,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_61 ),
inference(forward_demodulation,[],[f9247,f14]) ).
fof(f14,plain,
( ! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f9247,plain,
( ! [X0] : apply(apply(w,apply(w,apply(apply(w,b),b))),X0) = apply(apply(b,X0),apply(X0,X0))
| ~ spl0_3
| ~ spl0_61 ),
inference(superposition,[],[f6072,f22]) ).
fof(f6072,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(apply(w,b),X0))),X1) = apply(apply(apply(X0,apply(X0,X1)),X1),X1)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f6071]) ).
fof(f58506,plain,
( spl0_170
| ~ spl0_2
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f5739,f1121,f13,f58504]) ).
fof(f58504,plain,
( spl0_170
<=> ! [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_170])]) ).
fof(f1121,plain,
( spl0_50
<=> ! [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_50])]) ).
fof(f5739,plain,
( ! [X0,X1] : apply(apply(X0,X1),apply(X1,X1)) = apply(apply(w,apply(w,apply(apply(b,b),X0))),X1)
| ~ spl0_2
| ~ spl0_50 ),
inference(superposition,[],[f1122,f14]) ).
fof(f1122,plain,
( ! [X2,X0,X1] : apply(apply(X0,X1),apply(X1,X2)) = apply(apply(apply(w,apply(apply(b,b),X0)),X1),X2)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f58502,plain,
( spl0_169
| ~ spl0_2
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f5054,f1117,f13,f58500]) ).
fof(f58500,plain,
( spl0_169
<=> ! [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_169])]) ).
fof(f1117,plain,
( spl0_49
<=> ! [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_49])]) ).
fof(f5054,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_49 ),
inference(superposition,[],[f1118,f14]) ).
fof(f1118,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,apply(b,X0)),X1)),X2) = apply(X0,apply(apply(X1,X2),X2))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f58498,plain,
( spl0_168
| ~ spl0_2
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f5052,f1117,f13,f58496]) ).
fof(f58496,plain,
( spl0_168
<=> ! [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_168])]) ).
fof(f5052,plain,
( ! [X0,X1] : apply(X1,apply(apply(X0,X0),X0)) = apply(apply(w,apply(apply(b,apply(b,X1)),w)),X0)
| ~ spl0_2
| ~ spl0_49 ),
inference(superposition,[],[f1118,f14]) ).
fof(f58494,plain,
( spl0_167
| ~ spl0_5
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f5049,f1117,f36,f58492]) ).
fof(f36,plain,
( spl0_5
<=> ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f5049,plain,
( ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(w,apply(apply(b,apply(b,X1)),X0)),X0)
| ~ spl0_5
| ~ spl0_49 ),
inference(superposition,[],[f1118,f37]) ).
fof(f37,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f58490,plain,
( spl0_166
| ~ spl0_45
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f4473,f1109,f1101,f58488]) ).
fof(f58488,plain,
( spl0_166
<=> ! [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_166])]) ).
fof(f1101,plain,
( spl0_45
<=> ! [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_45])]) ).
fof(f1109,plain,
( spl0_47
<=> ! [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_47])]) ).
fof(f4473,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(w,apply(w,apply(X0,X0))),X0)
| ~ spl0_45
| ~ spl0_47 ),
inference(superposition,[],[f1110,f1102]) ).
fof(f1102,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(X0,X1))),X1) = apply(apply(apply(w,apply(w,X0)),X1),X1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1110,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(apply(w,apply(X0,X1)),X1),X1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f58486,plain,
( spl0_165
| ~ spl0_10
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f4331,f1105,f184,f58484]) ).
fof(f58484,plain,
( spl0_165
<=> ! [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_165])]) ).
fof(f1105,plain,
( spl0_46
<=> ! [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_46])]) ).
fof(f4331,plain,
( ! [X0] : apply(apply(w,w),apply(w,X0)) = apply(apply(w,apply(apply(b,w),X0)),apply(w,X0))
| ~ spl0_10
| ~ spl0_46 ),
inference(superposition,[],[f1106,f185]) ).
fof(f1106,plain,
( ! [X0] : apply(apply(w,w),apply(w,X0)) = apply(apply(w,apply(X0,apply(w,X0))),apply(w,X0))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f58482,plain,
( spl0_164
| ~ spl0_2
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f4228,f1101,f13,f58480]) ).
fof(f58480,plain,
( spl0_164
<=> ! [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_164])]) ).
fof(f4228,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(w,apply(w,apply(X0,X1))),X1)
| ~ spl0_2
| ~ spl0_45 ),
inference(superposition,[],[f1102,f14]) ).
fof(f58478,plain,
( spl0_163
| ~ spl0_2
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f3786,f1097,f13,f58476]) ).
fof(f58476,plain,
( spl0_163
<=> ! [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_163])]) ).
fof(f1097,plain,
( spl0_44
<=> ! [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_44])]) ).
fof(f3786,plain,
( ! [X0,X1] : apply(apply(apply(w,apply(b,apply(b,X1))),X0),X0) = apply(X1,apply(apply(w,X0),X0))
| ~ spl0_2
| ~ spl0_44 ),
inference(superposition,[],[f1098,f14]) ).
fof(f1098,plain,
( ! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(w,apply(b,apply(b,X0))),X1),X2)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f58474,plain,
( spl0_162
| ~ spl0_5
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f3785,f1097,f36,f58472]) ).
fof(f58472,plain,
( spl0_162
<=> ! [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_162])]) ).
fof(f3785,plain,
( ! [X0,X1] : apply(X1,apply(apply(w,w),X0)) = apply(apply(apply(w,apply(b,apply(b,X1))),X0),X0)
| ~ spl0_5
| ~ spl0_44 ),
inference(superposition,[],[f1098,f37]) ).
fof(f58470,plain,
( spl0_161
| ~ spl0_2
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3035,f1080,f13,f58468]) ).
fof(f58468,plain,
( spl0_161
<=> ! [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_161])]) ).
fof(f1080,plain,
( spl0_40
<=> ! [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_40])]) ).
fof(f3035,plain,
( ! [X0] : apply(b,apply(apply(w,apply(b,b)),X0)) = apply(apply(apply(w,w),b),apply(X0,X0))
| ~ spl0_2
| ~ spl0_40 ),
inference(superposition,[],[f1081,f14]) ).
fof(f1081,plain,
( ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X1,X1)) = apply(X0,apply(apply(w,apply(b,X0)),X1))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f58466,plain,
( spl0_160
| ~ spl0_7
| ~ spl0_22
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f2354,f1068,f659,f54,f58463]) ).
fof(f58463,plain,
( spl0_160
<=> 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_160])]) ).
fof(f54,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(f659,plain,
( spl0_22
<=> ! [X0] : apply(X0,apply(apply(b,X0),apply(b,X0))) = apply(apply(w,w),apply(b,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1068,plain,
( spl0_37
<=> ! [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_37])]) ).
fof(f2354,plain,
( apply(apply(w,w),apply(b,b)) = apply(apply(w,apply(apply(w,w),apply(b,b))),b)
| ~ spl0_7
| ~ spl0_22
| ~ spl0_37 ),
inference(forward_demodulation,[],[f2353,f660]) ).
fof(f660,plain,
( ! [X0] : apply(X0,apply(apply(b,X0),apply(b,X0))) = apply(apply(w,w),apply(b,X0))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f2353,plain,
( apply(b,apply(apply(b,b),apply(b,b))) = apply(apply(w,apply(apply(w,w),apply(b,b))),b)
| ~ spl0_7
| ~ spl0_22
| ~ spl0_37 ),
inference(forward_demodulation,[],[f2290,f55]) ).
fof(f55,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f2290,plain,
( apply(apply(w,apply(b,b)),apply(b,b)) = apply(apply(w,apply(apply(w,w),apply(b,b))),b)
| ~ spl0_22
| ~ spl0_37 ),
inference(superposition,[],[f1069,f660]) ).
fof(f1069,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(w,apply(b,apply(X0,apply(X1,X1)))),X1)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f58461,plain,
( spl0_159
| ~ spl0_19
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2131,f1064,f369,f58459]) ).
fof(f58459,plain,
( spl0_159
<=> ! [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_159])]) ).
fof(f1064,plain,
( spl0_36
<=> ! [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_36])]) ).
fof(f2131,plain,
( ! [X0] : apply(apply(X0,X0),apply(X0,X0)) = apply(apply(w,apply(w,apply(w,apply(b,b)))),X0)
| ~ spl0_19
| ~ spl0_36 ),
inference(superposition,[],[f1065,f370]) ).
fof(f1065,plain,
( ! [X0,X1] : apply(apply(X0,X0),apply(X1,X1)) = apply(apply(w,apply(apply(w,apply(b,b)),X0)),X1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f58457,plain,
( spl0_158
| ~ spl0_6
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1786,f1060,f50,f58455]) ).
fof(f58455,plain,
( spl0_158
<=> ! [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_158])]) ).
fof(f1060,plain,
( spl0_35
<=> ! [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_35])]) ).
fof(f1786,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_35 ),
inference(superposition,[],[f1061,f51]) ).
fof(f1061,plain,
( ! [X2,X0,X1] : apply(apply(apply(apply(w,b),apply(b,X0)),X1),X2) = apply(X0,apply(X0,apply(X1,X2)))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f58453,plain,
( spl0_157
| ~ spl0_31
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1785,f1060,f1043,f58451]) ).
fof(f58451,plain,
( spl0_157
<=> ! [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_157])]) ).
fof(f1043,plain,
( spl0_31
<=> ! [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_31])]) ).
fof(f1785,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X0,X1))) = apply(apply(apply(b,X0),apply(apply(w,b),X0)),X1)
| ~ spl0_31
| ~ spl0_35 ),
inference(superposition,[],[f1061,f1044]) ).
fof(f1044,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(X0,X1)),X1) = apply(apply(X0,X1),apply(apply(w,X0),X1))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f58449,plain,
( spl0_156
| ~ spl0_29
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1784,f1060,f1021,f58447]) ).
fof(f58447,plain,
( spl0_156
<=> ! [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_156])]) ).
fof(f1021,plain,
( spl0_29
<=> ! [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_29])]) ).
fof(f1784,plain,
( ! [X0] : apply(b,apply(b,apply(b,X0))) = apply(apply(apply(b,b),apply(apply(w,w),b)),X0)
| ~ spl0_29
| ~ spl0_35 ),
inference(superposition,[],[f1061,f1022]) ).
fof(f1022,plain,
( ! [X0] : apply(apply(apply(w,b),apply(X0,X0)),X0) = apply(apply(X0,X0),apply(apply(w,w),X0))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f58445,plain,
( spl0_155
| ~ spl0_6
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1300,f1043,f50,f58443]) ).
fof(f58443,plain,
( spl0_155
<=> ! [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_155])]) ).
fof(f1300,plain,
( ! [X0,X1] : apply(apply(X0,X1),apply(apply(X0,X1),X1)) = apply(apply(X0,X1),apply(apply(w,X0),X1))
| ~ spl0_6
| ~ spl0_31 ),
inference(superposition,[],[f1044,f51]) ).
fof(f58441,plain,
( spl0_154
| ~ spl0_30
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1299,f1043,f1025,f58439]) ).
fof(f58439,plain,
( spl0_154
<=> ! [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_154])]) ).
fof(f1025,plain,
( spl0_30
<=> ! [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_30])]) ).
fof(f1299,plain,
( ! [X0] : apply(apply(w,X0),apply(apply(X0,X0),X0)) = apply(apply(w,X0),apply(apply(w,w),X0))
| ~ spl0_30
| ~ spl0_31 ),
inference(superposition,[],[f1044,f1026]) ).
fof(f1026,plain,
( ! [X0,X1] : apply(apply(apply(w,b),apply(w,X0)),X1) = apply(apply(w,X0),apply(apply(X0,X1),X1))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f58437,plain,
( spl0_153
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1298,f1043,f1021,f58435]) ).
fof(f58435,plain,
( spl0_153
<=> ! [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_153])]) ).
fof(f1298,plain,
( ! [X0] : apply(apply(X0,X0),apply(apply(w,w),X0)) = apply(apply(X0,X0),apply(apply(w,X0),X0))
| ~ spl0_29
| ~ spl0_31 ),
inference(superposition,[],[f1044,f1022]) ).
fof(f58433,plain,
( spl0_152
| ~ spl0_2
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1226,f1025,f13,f58431]) ).
fof(f58431,plain,
( spl0_152
<=> ! [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_152])]) ).
fof(f1226,plain,
( ! [X0] : apply(apply(apply(w,b),apply(w,w)),X0) = apply(apply(w,w),apply(apply(X0,X0),X0))
| ~ spl0_2
| ~ spl0_30 ),
inference(superposition,[],[f1026,f14]) ).
fof(f58429,plain,
( spl0_151
| ~ spl0_6
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1175,f1025,f50,f58427]) ).
fof(f58427,plain,
( spl0_151
<=> ! [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_151])]) ).
fof(f1175,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(apply(w,X0),X1)) = apply(apply(w,X0),apply(apply(X0,X1),X1))
| ~ spl0_6
| ~ spl0_30 ),
inference(superposition,[],[f1026,f51]) ).
fof(f58425,plain,
( spl0_150
| ~ spl0_6
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1132,f1021,f50,f58423]) ).
fof(f58423,plain,
( spl0_150
<=> ! [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_150])]) ).
fof(f1132,plain,
( ! [X0] : apply(apply(X0,X0),apply(apply(X0,X0),X0)) = apply(apply(X0,X0),apply(apply(w,w),X0))
| ~ spl0_6
| ~ spl0_29 ),
inference(superposition,[],[f1022,f51]) ).
fof(f58421,plain,
( spl0_149
| ~ spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f884,f667,f21,f58419]) ).
fof(f58419,plain,
( spl0_149
<=> ! [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_149])]) ).
fof(f667,plain,
( spl0_24
<=> ! [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_24])]) ).
fof(f884,plain,
( ! [X0,X1] : apply(apply(X0,X0),apply(X0,X1)) = apply(apply(apply(w,apply(w,apply(b,b))),X0),X1)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f22,f668]) ).
fof(f668,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f58417,plain,
( spl0_148
| ~ spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f869,f667,f21,f58415]) ).
fof(f58415,plain,
( spl0_148
<=> ! [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_148])]) ).
fof(f869,plain,
( ! [X0,X1] : apply(X0,apply(apply(X1,X1),X1)) = apply(apply(w,apply(w,apply(b,apply(b,X0)))),X1)
| ~ spl0_3
| ~ spl0_24 ),
inference(superposition,[],[f668,f22]) ).
fof(f57411,plain,
( spl0_147
| ~ spl0_2
| ~ spl0_3
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f829,f663,f21,f13,f57409]) ).
fof(f57409,plain,
( spl0_147
<=> ! [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_147])]) ).
fof(f663,plain,
( spl0_23
<=> ! [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_23])]) ).
fof(f829,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_23 ),
inference(forward_demodulation,[],[f787,f14]) ).
fof(f787,plain,
( ! [X0,X1] : apply(apply(b,X0),apply(X0,X1)) = apply(apply(apply(w,apply(apply(w,b),b)),X0),X1)
| ~ spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f22,f664]) ).
fof(f664,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(w,b),X0)),X1) = apply(apply(X0,apply(X0,X1)),X1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f57407,plain,
( spl0_146
| ~ spl0_3
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f826,f663,f21,f57405]) ).
fof(f57405,plain,
( spl0_146
<=> ! [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_146])]) ).
fof(f826,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X1,X1))) = apply(apply(w,apply(apply(w,b),apply(b,X0))),X1)
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f773,f22]) ).
fof(f773,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_23 ),
inference(superposition,[],[f664,f22]) ).
fof(f57403,plain,
( spl0_145
| ~ spl0_10
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f730,f663,f184,f57401]) ).
fof(f57401,plain,
( spl0_145
<=> ! [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_145])]) ).
fof(f730,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(w,apply(apply(b,w),apply(w,b))),X0)
| ~ spl0_10
| ~ spl0_23 ),
inference(superposition,[],[f664,f185]) ).
fof(f57399,plain,
( spl0_144
| ~ spl0_2
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f621,f377,f13,f57397]) ).
fof(f377,plain,
( spl0_21
<=> ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f621,plain,
( ! [X0] : apply(apply(X0,apply(X0,X0)),X0) = apply(apply(w,apply(w,apply(apply(b,w),b))),X0)
| ~ spl0_2
| ~ spl0_21 ),
inference(superposition,[],[f14,f378]) ).
fof(f378,plain,
( ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f57395,plain,
( spl0_143
| ~ spl0_2
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f494,f369,f13,f57393]) ).
fof(f57393,plain,
( spl0_143
<=> ! [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_143])]) ).
fof(f494,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(X0,X1))),X1) = apply(apply(w,apply(apply(w,X0),X1)),X1)
| ~ spl0_2
| ~ spl0_19 ),
inference(superposition,[],[f370,f14]) ).
fof(f57391,plain,
( spl0_142
| ~ spl0_2
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f490,f369,f13,f57389]) ).
fof(f57389,plain,
( spl0_142
<=> ! [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_142])]) ).
fof(f490,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(w,X0))),X1) = apply(apply(w,apply(apply(X0,X1),X1)),X1)
| ~ spl0_2
| ~ spl0_19 ),
inference(superposition,[],[f370,f14]) ).
fof(f57387,plain,
( spl0_141
| ~ spl0_5
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f486,f369,f36,f57385]) ).
fof(f57385,plain,
( spl0_141
<=> ! [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_141])]) ).
fof(f486,plain,
( ! [X0] : apply(apply(w,apply(w,apply(X0,X0))),X0) = apply(apply(w,apply(apply(w,w),X0)),X0)
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f370,f37]) ).
fof(f57383,plain,
( spl0_140
| ~ spl0_5
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f483,f369,f36,f57381]) ).
fof(f57381,plain,
( spl0_140
<=> ! [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_140])]) ).
fof(f483,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(w,apply(apply(X0,X0),X0)),X0)
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f370,f37]) ).
fof(f57379,plain,
( spl0_139
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f438,f365,f107,f57377]) ).
fof(f57377,plain,
( spl0_139
<=> ! [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_139])]) ).
fof(f365,plain,
( spl0_18
<=> ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(w,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f438,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,w))),X0) = apply(apply(apply(w,apply(X0,X0)),X0),X0)
| ~ spl0_8
| ~ spl0_18 ),
inference(superposition,[],[f108,f366]) ).
fof(f366,plain,
( ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f57375,plain,
( spl0_138
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f395,f361,f107,f57373]) ).
fof(f57373,plain,
( spl0_138
<=> ! [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_138])]) ).
fof(f361,plain,
( spl0_17
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(X0,X0),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f395,plain,
( ! [X0] : apply(apply(w,apply(w,apply(X0,X0))),X0) = apply(apply(apply(w,apply(w,w)),X0),X0)
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f108,f362]) ).
fof(f362,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(X0,X0),X0),X0)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f57371,plain,
( spl0_137
| ~ spl0_2
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f53640,f29220,f13,f57369]) ).
fof(f57369,plain,
( spl0_137
<=> ! [X0] : apply(X0,apply(X0,apply(X0,X0))) = apply(X0,apply(apply(w,apply(w,b)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f29220,plain,
( spl0_111
<=> ! [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_111])]) ).
fof(f53640,plain,
( ! [X0] : apply(X0,apply(X0,apply(X0,X0))) = apply(X0,apply(apply(w,apply(w,b)),X0))
| ~ spl0_2
| ~ spl0_111 ),
inference(superposition,[],[f29221,f14]) ).
fof(f29221,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X0,X1))) = apply(X0,apply(apply(apply(w,b),X0),X1))
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f29220]) ).
fof(f57367,plain,
( spl0_136
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f359,f293,f107,f21,f57364]) ).
fof(f57364,plain,
( spl0_136
<=> 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_136])]) ).
fof(f293,plain,
( spl0_16
<=> apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f359,plain,
( apply(apply(w,apply(w,apply(w,apply(w,w)))),b) = apply(apply(b,b),apply(b,b))
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_demodulation,[],[f356,f22]) ).
fof(f356,plain,
( apply(apply(w,apply(w,apply(w,apply(w,w)))),b) = apply(apply(apply(b,apply(b,b)),b),b)
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f108,f295]) ).
fof(f295,plain,
( apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f57362,plain,
( spl0_135
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f336,f289,f13,f57360]) ).
fof(f57360,plain,
( spl0_135
<=> ! [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_135])]) ).
fof(f336,plain,
( ! [X0] : apply(apply(apply(w,apply(w,b)),X0),apply(X0,X0)) = apply(apply(w,X0),apply(X0,X0))
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f14,f290]) ).
fof(f57358,plain,
( spl0_134
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f335,f289,f50,f57356]) ).
fof(f57356,plain,
( spl0_134
<=> ! [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_134])]) ).
fof(f335,plain,
( ! [X0] : apply(apply(apply(w,b),X0),apply(X0,X0)) = apply(X0,apply(apply(w,apply(w,b)),X0))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f51,f290]) ).
fof(f57354,plain,
( spl0_133
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f300,f271,f54,f57352]) ).
fof(f57352,plain,
( spl0_133
<=> ! [X0] : apply(b,apply(b,apply(X0,X0))) = apply(apply(w,apply(b,apply(apply(w,w),b))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f300,plain,
( ! [X0] : apply(b,apply(b,apply(X0,X0))) = apply(apply(w,apply(b,apply(apply(w,w),b))),X0)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f272,f55]) ).
fof(f50346,plain,
( spl0_132
| ~ spl0_7
| ~ spl0_39
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f50341,f50337,f1076,f54,f50343]) ).
fof(f50343,plain,
( spl0_132
<=> apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(w,w),apply(apply(w,apply(b,apply(b,w))),apply(strong_fixed_point,apply(apply(w,w),b)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1076,plain,
( spl0_39
<=> ! [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_39])]) ).
fof(f50337,plain,
( spl0_131
<=> apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(w,w),b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f50341,plain,
( apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(w,w),apply(apply(w,apply(b,apply(b,w))),apply(strong_fixed_point,apply(apply(w,w),b))))
| ~ spl0_7
| ~ spl0_39
| ~ spl0_131 ),
inference(forward_demodulation,[],[f50339,f2626]) ).
fof(f2626,plain,
( ! [X2,X0,X1] : apply(X2,apply(apply(w,apply(b,X0)),X1)) = apply(apply(w,apply(b,apply(apply(b,X2),X0))),X1)
| ~ spl0_7
| ~ spl0_39 ),
inference(superposition,[],[f1077,f55]) ).
fof(f1077,plain,
( ! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,X2))) = apply(apply(w,apply(b,apply(apply(b,X0),X1))),X2)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f50339,plain,
( apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(w,w),b)))
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f50337]) ).
fof(f50340,plain,
( spl0_131
| ~ spl0_6
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f282,f275,f50,f50337]) ).
fof(f275,plain,
( spl0_14
<=> apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,w),b)) = apply(strong_fixed_point,apply(apply(w,w),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f282,plain,
( apply(apply(apply(w,b),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(strong_fixed_point,apply(apply(w,w),b)))
| ~ spl0_6
| ~ spl0_14 ),
inference(superposition,[],[f51,f277]) ).
fof(f277,plain,
( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,w),b)) = apply(strong_fixed_point,apply(apply(w,w),b))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f50057,plain,
( spl0_130
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f285,f275,f184,f50055]) ).
fof(f50055,plain,
( spl0_130
<=> ! [X0] : apply(apply(w,apply(apply(b,X0),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(w,w),b)) = apply(apply(w,apply(apply(b,X0),strong_fixed_point)),apply(apply(w,w),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f285,plain,
( ! [X0] : apply(apply(w,apply(apply(b,X0),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(w,w),b)) = apply(apply(w,apply(apply(b,X0),strong_fixed_point)),apply(apply(w,w),b))
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f280,f185]) ).
fof(f280,plain,
( ! [X0] : apply(apply(w,apply(apply(b,X0),apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(w,w),b)) = apply(apply(X0,apply(strong_fixed_point,apply(apply(w,w),b))),apply(apply(w,w),b))
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f185,f277]) ).
fof(f49894,plain,
( spl0_129
| ~ spl0_19
| ~ spl0_22
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f4849,f1113,f659,f369,f49892]) ).
fof(f49892,plain,
( spl0_129
<=> ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1113,plain,
( spl0_48
<=> ! [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_48])]) ).
fof(f4849,plain,
( ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0)
| ~ spl0_19
| ~ spl0_22
| ~ spl0_48 ),
inference(forward_demodulation,[],[f4681,f660]) ).
fof(f4681,plain,
( ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(w,apply(apply(b,w),apply(b,w))),X0)
| ~ spl0_19
| ~ spl0_48 ),
inference(superposition,[],[f1114,f370]) ).
fof(f1114,plain,
( ! [X0,X1] : apply(apply(X0,apply(X1,X1)),X1) = apply(apply(w,apply(apply(b,w),apply(b,X0))),X1)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f49252,plain,
( spl0_128
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f286,f275,f107,f49249]) ).
fof(f49249,plain,
( spl0_128
<=> apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(w,w),b)) = apply(apply(w,apply(w,strong_fixed_point)),apply(apply(w,w),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f286,plain,
( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(w,w),b)) = apply(apply(w,apply(w,strong_fixed_point)),apply(apply(w,w),b))
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f281,f108]) ).
fof(f281,plain,
( apply(apply(w,apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))))),apply(apply(w,w),b)) = apply(apply(apply(strong_fixed_point,apply(apply(w,w),b)),apply(apply(w,w),b)),apply(apply(w,w),b))
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f108,f277]) ).
fof(f49247,plain,
( spl0_127
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f266,f258,f107,f49245]) ).
fof(f49245,plain,
( spl0_127
<=> ! [X0] : apply(apply(w,apply(w,apply(apply(b,apply(w,w)),apply(b,w)))),apply(b,apply(b,X0))) = apply(apply(apply(strong_fixed_point,X0),apply(b,apply(b,X0))),apply(b,apply(b,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f258,plain,
( spl0_12
<=> ! [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_12])]) ).
fof(f266,plain,
( ! [X0] : apply(apply(w,apply(w,apply(apply(b,apply(w,w)),apply(b,w)))),apply(b,apply(b,X0))) = apply(apply(apply(strong_fixed_point,X0),apply(b,apply(b,X0))),apply(b,apply(b,X0)))
| ~ spl0_8
| ~ spl0_12 ),
inference(superposition,[],[f108,f259]) ).
fof(f259,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(b,X0)))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f49243,plain,
( spl0_126
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f62,f50,f29,f49240]) ).
fof(f49240,plain,
( spl0_126
<=> apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,w),b)) = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f62,plain,
( apply(apply(apply(w,b),apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,w),b)) = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),strong_fixed_point)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f51,f31]) ).
fof(f48322,plain,
( spl0_125
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f265,f258,f184,f48320]) ).
fof(f48320,plain,
( spl0_125
<=> ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(apply(b,apply(w,w)),apply(b,w)))),apply(b,apply(b,X0))) = apply(apply(X1,apply(strong_fixed_point,X0)),apply(b,apply(b,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f265,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(b,X1),apply(apply(b,apply(w,w)),apply(b,w)))),apply(b,apply(b,X0))) = apply(apply(X1,apply(strong_fixed_point,X0)),apply(b,apply(b,X0)))
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f185,f259]) ).
fof(f48318,plain,
( spl0_124
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f208,f184,f29,f48316]) ).
fof(f48316,plain,
( spl0_124
<=> ! [X0] : apply(apply(w,apply(apply(b,X0),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(X0,strong_fixed_point),apply(apply(w,w),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f208,plain,
( ! [X0] : apply(apply(w,apply(apply(b,X0),apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(X0,strong_fixed_point),apply(apply(w,w),b))
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f185,f31]) ).
fof(f48193,plain,
( spl0_123
| ~ spl0_22
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f4703,f1113,f659,f48191]) ).
fof(f48191,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(f4703,plain,
( ! [X0] : apply(apply(w,apply(X0,X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0)
| ~ spl0_22
| ~ spl0_48 ),
inference(superposition,[],[f1114,f660]) ).
fof(f48034,plain,
( spl0_122
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f269,f258,f50,f21,f48032]) ).
fof(f48032,plain,
( spl0_122
<=> ! [X0] : apply(apply(apply(w,b),apply(apply(b,apply(w,w)),apply(b,w))),apply(b,apply(b,X0))) = apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f269,plain,
( ! [X0] : apply(apply(apply(w,b),apply(apply(b,apply(w,w)),apply(b,w))),apply(b,apply(b,X0))) = apply(apply(w,w),apply(apply(b,w),apply(strong_fixed_point,X0)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f267,f22]) ).
fof(f267,plain,
( ! [X0] : apply(apply(apply(w,b),apply(apply(b,apply(w,w)),apply(b,w))),apply(b,apply(b,X0))) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(strong_fixed_point,X0))
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f51,f259]) ).
fof(f48030,plain,
( spl0_121
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f148,f107,f29,f13,f48027]) ).
fof(f48027,plain,
( spl0_121
<=> apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(w,strong_fixed_point),apply(apply(w,w),b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f148,plain,
( apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(w,strong_fixed_point),apply(apply(w,w),b))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f122,f14]) ).
fof(f122,plain,
( apply(apply(w,apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w))))),apply(apply(w,w),b)) = apply(apply(strong_fixed_point,apply(apply(w,w),b)),apply(apply(w,w),b))
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f108,f31]) ).
fof(f44234,plain,
( spl0_120
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f229,f184,f50,f44232]) ).
fof(f44232,plain,
( spl0_120
<=> ! [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_120])]) ).
fof(f229,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,[],[f51,f185]) ).
fof(f44230,plain,
( spl0_119
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f219,f184,f44228]) ).
fof(f44228,plain,
( spl0_119
<=> ! [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_119])]) ).
fof(f219,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,[],[f185,f185]) ).
fof(f44226,plain,
( spl0_118
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f218,f184,f44224]) ).
fof(f44224,plain,
( spl0_118
<=> ! [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_118])]) ).
fof(f218,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,[],[f185,f185]) ).
fof(f43931,plain,
( spl0_117
| ~ spl0_6
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3056,f1080,f50,f43929]) ).
fof(f43929,plain,
( spl0_117
<=> ! [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_117])]) ).
fof(f3056,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X1,X1))) = apply(X0,apply(apply(w,apply(b,X0)),X1))
| ~ spl0_6
| ~ spl0_40 ),
inference(superposition,[],[f1081,f51]) ).
fof(f39435,plain,
( spl0_116
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f268,f258,f13,f39433]) ).
fof(f39433,plain,
( spl0_116
<=> ! [X0] : apply(apply(strong_fixed_point,X0),apply(b,apply(b,X0))) = apply(apply(w,apply(apply(b,apply(w,w)),apply(b,w))),apply(b,apply(b,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f268,plain,
( ! [X0] : apply(apply(strong_fixed_point,X0),apply(b,apply(b,X0))) = apply(apply(w,apply(apply(b,apply(w,w)),apply(b,w))),apply(b,apply(b,X0)))
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f14,f259]) ).
fof(f39431,plain,
( spl0_115
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f264,f258,f184,f39429]) ).
fof(f39429,plain,
( spl0_115
<=> ! [X0] : apply(apply(w,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),apply(b,X0)) = apply(apply(strong_fixed_point,X0),apply(b,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f264,plain,
( ! [X0] : apply(apply(w,apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),b)),apply(b,X0)) = apply(apply(strong_fixed_point,X0),apply(b,X0))
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f185,f259]) ).
fof(f39427,plain,
( spl0_114
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f238,f184,f50,f39425]) ).
fof(f39425,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(f238,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,[],[f51,f185]) ).
fof(f39423,plain,
( spl0_113
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f207,f184,f39421]) ).
fof(f39421,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(f207,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,[],[f185,f185]) ).
fof(f39419,plain,
( spl0_112
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f206,f184,f39417]) ).
fof(f39417,plain,
( spl0_112
<=> ! [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_112])]) ).
fof(f206,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,[],[f185,f185]) ).
fof(f29222,plain,
( spl0_111
| ~ spl0_6
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1520,f1047,f50,f29220]) ).
fof(f1047,plain,
( spl0_32
<=> ! [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_32])]) ).
fof(f1520,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X0,X1))) = apply(X0,apply(apply(apply(w,b),X0),X1))
| ~ spl0_6
| ~ spl0_32 ),
inference(superposition,[],[f1048,f51]) ).
fof(f1048,plain,
( ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X0,X1)) = apply(X0,apply(apply(apply(w,b),X0),X1))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f26433,plain,
( spl0_110
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f261,f258,f54,f26431]) ).
fof(f26431,plain,
( spl0_110
<=> ! [X0] : apply(strong_fixed_point,apply(X0,X0)) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(apply(w,apply(b,b)),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f261,plain,
( ! [X0] : apply(strong_fixed_point,apply(X0,X0)) = apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(b,apply(apply(w,apply(b,b)),X0)))
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f259,f55]) ).
fof(f26429,plain,
( spl0_109
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f251,f184,f111,f107,f13,f26427]) ).
fof(f26427,plain,
( spl0_109
<=> ! [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_109])]) ).
fof(f111,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(f251,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,[],[f250,f134]) ).
fof(f134,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f108,f14]) ).
fof(f250,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,[],[f237,f112]) ).
fof(f112,plain,
( ! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f237,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,[],[f108,f185]) ).
fof(f26425,plain,
( spl0_108
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f248,f184,f107,f13,f26423]) ).
fof(f26423,plain,
( spl0_108
<=> ! [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_108])]) ).
fof(f248,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,[],[f228,f14]) ).
fof(f228,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,[],[f108,f185]) ).
fof(f26421,plain,
( spl0_107
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f226,f184,f54,f26419]) ).
fof(f26419,plain,
( spl0_107
<=> ! [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_107])]) ).
fof(f226,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,[],[f185,f55]) ).
fof(f26417,plain,
( spl0_106
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f212,f184,f54,f26415]) ).
fof(f26415,plain,
( spl0_106
<=> ! [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_106])]) ).
fof(f212,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,[],[f185,f55]) ).
fof(f26413,plain,
( spl0_105
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f211,f184,f36,f26411]) ).
fof(f26411,plain,
( spl0_105
<=> ! [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_105])]) ).
fof(f211,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,[],[f185,f37]) ).
fof(f26161,plain,
( spl0_104
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f210,f184,f54,f26159]) ).
fof(f26159,plain,
( spl0_104
<=> ! [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_104])]) ).
fof(f210,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,[],[f185,f55]) ).
fof(f26157,plain,
( spl0_103
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f209,f184,f50,f26155]) ).
fof(f26155,plain,
( spl0_103
<=> ! [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_103])]) ).
fof(f209,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,[],[f185,f51]) ).
fof(f26153,plain,
( spl0_102
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f204,f184,f111,f26151]) ).
fof(f26151,plain,
( spl0_102
<=> ! [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_102])]) ).
fof(f204,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,[],[f185,f112]) ).
fof(f26149,plain,
( spl0_101
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f203,f184,f107,f26147]) ).
fof(f26147,plain,
( spl0_101
<=> ! [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_101])]) ).
fof(f203,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,[],[f185,f108]) ).
fof(f26145,plain,
( spl0_100
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f196,f184,f54,f26143]) ).
fof(f196,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,[],[f185,f55]) ).
fof(f26141,plain,
( spl0_99
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f174,f111,f50,f26139]) ).
fof(f26139,plain,
( spl0_99
<=> ! [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_99])]) ).
fof(f174,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,[],[f51,f112]) ).
fof(f26137,plain,
( spl0_98
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f140,f107,f50,f26135]) ).
fof(f26135,plain,
( spl0_98
<=> ! [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_98])]) ).
fof(f140,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,[],[f51,f108]) ).
fof(f26133,plain,
( spl0_97
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f76,f50,f36,f26131]) ).
fof(f26131,plain,
( spl0_97
<=> ! [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_97])]) ).
fof(f76,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,[],[f37,f51]) ).
fof(f26129,plain,
( spl0_96
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f40,f36,f21,f26127]) ).
fof(f40,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,[],[f37,f22]) ).
fof(f17761,plain,
( spl0_95
| ~ spl0_19
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f866,f667,f369,f17759]) ).
fof(f17759,plain,
( spl0_95
<=> ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(w,apply(w,apply(b,w))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f866,plain,
( ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(w,apply(w,apply(b,w))),X0)
| ~ spl0_19
| ~ spl0_24 ),
inference(superposition,[],[f668,f370]) ).
fof(f13403,plain,
( spl0_94
| ~ spl0_3
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f243,f184,f50,f21,f13401]) ).
fof(f13401,plain,
( spl0_94
<=> ! [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_94])]) ).
fof(f243,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,[],[f192,f22]) ).
fof(f192,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,[],[f185,f51]) ).
fof(f13399,plain,
( spl0_93
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f217,f184,f21,f13397]) ).
fof(f13397,plain,
( spl0_93
<=> ! [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_93])]) ).
fof(f217,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,[],[f185,f22]) ).
fof(f13395,plain,
( spl0_92
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f214,f184,f50,f13393]) ).
fof(f13393,plain,
( spl0_92
<=> ! [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_92])]) ).
fof(f214,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,[],[f185,f51]) ).
fof(f13391,plain,
( spl0_91
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f864,f667,f373,f13389]) ).
fof(f13389,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(f373,plain,
( spl0_20
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f864,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(w,apply(b,w))),X0)
| ~ spl0_20
| ~ spl0_24 ),
inference(superposition,[],[f668,f374]) ).
fof(f374,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f13387,plain,
( spl0_90
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f213,f184,f13,f13385]) ).
fof(f13385,plain,
( spl0_90
<=> ! [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_90])]) ).
fof(f213,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,[],[f185,f14]) ).
fof(f13383,plain,
( spl0_89
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f205,f184,f21,f13381]) ).
fof(f13381,plain,
( spl0_89
<=> ! [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_89])]) ).
fof(f205,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,[],[f185,f22]) ).
fof(f13379,plain,
( spl0_88
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f202,f184,f50,f13377]) ).
fof(f13377,plain,
( spl0_88
<=> ! [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_88])]) ).
fof(f202,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,[],[f185,f51]) ).
fof(f13375,plain,
( spl0_87
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f200,f184,f54,f13373]) ).
fof(f13373,plain,
( spl0_87
<=> ! [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_87])]) ).
fof(f200,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,[],[f185,f55]) ).
fof(f13371,plain,
( spl0_86
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f193,f184,f54,f13369]) ).
fof(f13369,plain,
( spl0_86
<=> ! [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_86])]) ).
fof(f193,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,[],[f185,f55]) ).
fof(f13367,plain,
( spl0_85
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f190,f184,f13365]) ).
fof(f13365,plain,
( spl0_85
<=> ! [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_85])]) ).
fof(f190,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,[],[f185,f185]) ).
fof(f13363,plain,
( spl0_84
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f187,f184,f54,f13361]) ).
fof(f13361,plain,
( spl0_84
<=> ! [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_84])]) ).
fof(f187,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,[],[f185,f55]) ).
fof(f13359,plain,
( spl0_83
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f180,f111,f107,f13357]) ).
fof(f13357,plain,
( spl0_83
<=> ! [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_83])]) ).
fof(f180,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,[],[f173,f108]) ).
fof(f173,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,[],[f108,f112]) ).
fof(f13355,plain,
( spl0_82
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f147,f107,f13353]) ).
fof(f13353,plain,
( spl0_82
<=> ! [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_82])]) ).
fof(f147,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,[],[f120,f108]) ).
fof(f120,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,[],[f108,f108]) ).
fof(f13351,plain,
( spl0_81
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f93,f54,f50,f13349]) ).
fof(f13349,plain,
( spl0_81
<=> ! [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_81])]) ).
fof(f93,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,[],[f51,f55]) ).
fof(f13347,plain,
( spl0_80
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f772,f663,f369,f13345]) ).
fof(f13345,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(f772,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(apply(w,b),w)),X0)
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f664,f370]) ).
fof(f13343,plain,
( spl0_79
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f84,f54,f21,f13341]) ).
fof(f13341,plain,
( spl0_79
<=> ! [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_79])]) ).
fof(f84,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,[],[f55,f22]) ).
fof(f13339,plain,
( spl0_78
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f83,f54,f50,f13337]) ).
fof(f13337,plain,
( spl0_78
<=> ! [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_78])]) ).
fof(f83,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,[],[f55,f51]) ).
fof(f13335,plain,
( spl0_77
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f64,f50,f13333]) ).
fof(f13333,plain,
( spl0_77
<=> ! [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_77])]) ).
fof(f64,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,[],[f51,f51]) ).
fof(f13331,plain,
( spl0_76
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f61,f50,f21,f13329]) ).
fof(f13329,plain,
( spl0_76
<=> ! [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_76])]) ).
fof(f61,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,[],[f51,f22]) ).
fof(f13327,plain,
( spl0_75
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f60,f50,f13325]) ).
fof(f13325,plain,
( spl0_75
<=> ! [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_75])]) ).
fof(f60,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,[],[f51,f51]) ).
fof(f11374,plain,
( spl0_74
| ~ spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f725,f659,f373,f184,f11372]) ).
fof(f11372,plain,
( spl0_74
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(w,w),apply(b,w)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f725,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(w,w),apply(b,w)),X0)
| ~ spl0_10
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f710,f557]) ).
fof(f557,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(apply(b,w),X0)),X0)
| ~ spl0_10
| ~ spl0_20 ),
inference(superposition,[],[f374,f185]) ).
fof(f710,plain,
( ! [X0] : apply(apply(w,apply(apply(b,w),X0)),X0) = apply(apply(apply(w,w),apply(b,w)),X0)
| ~ spl0_10
| ~ spl0_22 ),
inference(superposition,[],[f185,f660]) ).
fof(f7113,plain,
( spl0_73
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f557,f373,f184,f7111]) ).
fof(f7111,plain,
( spl0_73
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(apply(b,w),X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f6117,plain,
( spl0_72
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f242,f184,f36,f29,f21,f6115]) ).
fof(f6115,plain,
( spl0_72
<=> ! [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_72])]) ).
fof(f242,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_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f241,f46]) ).
fof(f46,plain,
( ! [X0] : apply(apply(apply(w,w),b),X0) = apply(b,apply(b,X0))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f22,f37]) ).
fof(f241,plain,
( ! [X0] : apply(apply(w,strong_fixed_point),X0) = apply(apply(apply(w,w),apply(apply(b,w),apply(apply(apply(w,w),b),X0))),X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f191,f22]) ).
fof(f191,plain,
( ! [X0] : apply(apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(apply(w,w),b),X0)),X0) = apply(apply(w,strong_fixed_point),X0)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f185,f31]) ).
fof(f6113,plain,
( spl0_71
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f239,f184,f13,f6111]) ).
fof(f6111,plain,
( spl0_71
<=> ! [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_71])]) ).
fof(f239,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,[],[f14,f185]) ).
fof(f6109,plain,
( spl0_70
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f223,f184,f50,f6107]) ).
fof(f6107,plain,
( spl0_70
<=> ! [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_70])]) ).
fof(f223,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,[],[f185,f51]) ).
fof(f6105,plain,
( spl0_69
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f201,f184,f13,f6103]) ).
fof(f6103,plain,
( spl0_69
<=> ! [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_69])]) ).
fof(f201,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,[],[f185,f14]) ).
fof(f6101,plain,
( spl0_68
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f199,f184,f13,f6099]) ).
fof(f199,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,[],[f185,f14]) ).
fof(f6097,plain,
( spl0_67
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f198,f184,f36,f6095]) ).
fof(f6095,plain,
( spl0_67
<=> ! [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_67])]) ).
fof(f198,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,[],[f185,f37]) ).
fof(f6093,plain,
( spl0_66
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f197,f184,f36,f6091]) ).
fof(f197,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,[],[f185,f37]) ).
fof(f6089,plain,
( spl0_65
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f194,f184,f54,f6087]) ).
fof(f6087,plain,
( spl0_65
<=> ! [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_65])]) ).
fof(f194,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,[],[f185,f55]) ).
fof(f6085,plain,
( spl0_64
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f552,f373,f54,f6083]) ).
fof(f6083,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(f552,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(w,apply(b,w)),X0),X0)
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f374,f55]) ).
fof(f6081,plain,
( spl0_63
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f156,f111,f54,f6079]) ).
fof(f6079,plain,
( spl0_63
<=> ! [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_63])]) ).
fof(f156,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,[],[f112,f55]) ).
fof(f6077,plain,
( spl0_62
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f121,f107,f21,f6075]) ).
fof(f121,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,[],[f108,f22]) ).
fof(f6073,plain,
( spl0_61
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f119,f107,f50,f6071]) ).
fof(f119,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,[],[f108,f51]) ).
fof(f6069,plain,
( spl0_60
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f117,f107,f54,f6067]) ).
fof(f6067,plain,
( spl0_60
<=> ! [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_60])]) ).
fof(f117,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,[],[f108,f55]) ).
fof(f6065,plain,
( spl0_59
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f100,f54,f50,f6063]) ).
fof(f6063,plain,
( spl0_59
<=> ! [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_59])]) ).
fof(f100,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,[],[f51,f55]) ).
fof(f6061,plain,
( spl0_58
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f98,f54,f36,f6059]) ).
fof(f6059,plain,
( spl0_58
<=> ! [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_58])]) ).
fof(f98,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,[],[f37,f55]) ).
fof(f6057,plain,
( spl0_57
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f86,f54,f36,f6055]) ).
fof(f6055,plain,
( spl0_57
<=> ! [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_57])]) ).
fof(f86,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,[],[f55,f37]) ).
fof(f6053,plain,
( spl0_56
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f85,f54,f6051]) ).
fof(f6051,plain,
( spl0_56
<=> ! [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_56])]) ).
fof(f85,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,[],[f55,f55]) ).
fof(f6049,plain,
( spl0_55
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f82,f54,f6047]) ).
fof(f6047,plain,
( spl0_55
<=> ! [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_55])]) ).
fof(f82,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,[],[f55,f55]) ).
fof(f6045,plain,
( spl0_54
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f77,f50,f21,f6043]) ).
fof(f6043,plain,
( spl0_54
<=> ! [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_54])]) ).
fof(f77,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,[],[f65,f22]) ).
fof(f65,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,[],[f51,f22]) ).
fof(f6041,plain,
( spl0_53
| ~ spl0_2
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f534,f369,f184,f13,f6039]) ).
fof(f6039,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(f534,plain,
( ! [X0] : apply(apply(w,apply(X0,X0)),X0) = apply(apply(w,apply(apply(w,b),w)),X0)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_demodulation,[],[f482,f14]) ).
fof(f482,plain,
( ! [X0] : apply(apply(w,apply(X0,X0)),X0) = apply(apply(w,apply(apply(b,w),w)),X0)
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f370,f185]) ).
fof(f3034,plain,
( spl0_52
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f514,f369,f184,f3032]) ).
fof(f3032,plain,
( spl0_52
<=> ! [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_52])]) ).
fof(f514,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(apply(b,w),X0)),X1)
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f370,f185]) ).
fof(f1174,plain,
( spl0_51
| ~ spl0_7
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f462,f365,f111,f54,f1172]) ).
fof(f1172,plain,
( spl0_51
<=> ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(apply(w,apply(b,w)),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f462,plain,
( ! [X0] : apply(apply(w,apply(w,X0)),X0) = apply(apply(apply(w,apply(b,w)),X0),X0)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_demodulation,[],[f432,f112]) ).
fof(f432,plain,
( ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(apply(w,apply(b,w)),X0),X0)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f366,f55]) ).
fof(f1123,plain,
( spl0_50
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f232,f184,f21,f1121]) ).
fof(f232,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,[],[f22,f185]) ).
fof(f1119,plain,
( spl0_49
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f224,f184,f21,f1117]) ).
fof(f224,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,[],[f185,f22]) ).
fof(f1115,plain,
( spl0_48
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f195,f184,f1113]) ).
fof(f195,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,[],[f185,f185]) ).
fof(f1111,plain,
( spl0_47
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f171,f111,f107,f1109]) ).
fof(f171,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,[],[f108,f112]) ).
fof(f1107,plain,
( spl0_46
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f163,f111,f36,f1105]) ).
fof(f163,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,[],[f112,f37]) ).
fof(f1103,plain,
( spl0_45
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f130,f107,f1101]) ).
fof(f130,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,[],[f108,f108]) ).
fof(f1099,plain,
( spl0_44
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f103,f54,f21,f1097]) ).
fof(f103,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,[],[f22,f55]) ).
fof(f1095,plain,
( spl0_43
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f99,f54,f21,f1093]) ).
fof(f1093,plain,
( spl0_43
<=> ! [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_43])]) ).
fof(f99,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,[],[f22,f55]) ).
fof(f1091,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f97,f54,f13,f1089]) ).
fof(f1089,plain,
( spl0_42
<=> ! [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_42])]) ).
fof(f97,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,[],[f14,f55]) ).
fof(f1087,plain,
( spl0_41
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f302,f271,f107,f1084]) ).
fof(f1084,plain,
( spl0_41
<=> apply(apply(w,apply(w,apply(w,w))),b) = apply(apply(b,apply(b,b)),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f302,plain,
( apply(apply(w,apply(w,apply(w,w))),b) = apply(apply(b,apply(b,b)),b)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f108,f272]) ).
fof(f1082,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f96,f54,f50,f1080]) ).
fof(f96,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,[],[f51,f55]) ).
fof(f1078,plain,
( spl0_39
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f90,f54,f21,f1076]) ).
fof(f90,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,[],[f55,f22]) ).
fof(f1074,plain,
( spl0_38
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f89,f54,f50,f1072]) ).
fof(f1072,plain,
( spl0_38
<=> ! [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_38])]) ).
fof(f89,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,[],[f55,f51]) ).
fof(f1070,plain,
( spl0_37
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f88,f54,f13,f1068]) ).
fof(f88,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,[],[f55,f14]) ).
fof(f1066,plain,
( spl0_36
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f80,f54,f1064]) ).
fof(f80,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,[],[f55,f55]) ).
fof(f1062,plain,
( spl0_35
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f78,f50,f21,f1060]) ).
fof(f78,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,[],[f71,f22]) ).
fof(f71,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,[],[f22,f51]) ).
fof(f1058,plain,
( spl0_34
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f70,f50,f13,f1056]) ).
fof(f1056,plain,
( spl0_34
<=> ! [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_34])]) ).
fof(f70,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,[],[f14,f51]) ).
fof(f1054,plain,
( spl0_33
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f67,f50,f36,f1051]) ).
fof(f1051,plain,
( spl0_33
<=> 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_33])]) ).
fof(f67,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,[],[f51,f37]) ).
fof(f1049,plain,
( spl0_32
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f63,f50,f1047]) ).
fof(f63,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,[],[f51,f51]) ).
fof(f1045,plain,
( spl0_31
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f59,f50,f13,f1043]) ).
fof(f59,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,[],[f51,f14]) ).
fof(f1027,plain,
( spl0_30
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f58,f50,f13,f1025]) ).
fof(f58,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,[],[f51,f14]) ).
fof(f1023,plain,
( spl0_29
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f57,f50,f36,f1021]) ).
fof(f57,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,[],[f51,f37]) ).
fof(f686,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f262,f258,f21,f684]) ).
fof(f262,plain,
( ! [X0] : apply(strong_fixed_point,X0) = apply(apply(w,w),apply(apply(b,w),apply(b,apply(b,X0))))
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f259,f22]) ).
fof(f682,plain,
( spl0_27
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f188,f184,f36,f680]) ).
fof(f680,plain,
( spl0_27
<=> ! [X0] : apply(apply(b,apply(b,X0)),X0) = apply(apply(w,apply(apply(w,w),b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f188,plain,
( ! [X0] : apply(apply(b,apply(b,X0)),X0) = apply(apply(w,apply(apply(w,w),b)),X0)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f185,f37]) ).
fof(f678,plain,
( spl0_26
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f596,f377,f369,f675]) ).
fof(f675,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(f596,plain,
( apply(b,apply(b,b)) = apply(apply(w,apply(w,apply(b,w))),b)
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f378,f370]) ).
fof(f673,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f129,f107,f50,f671]) ).
fof(f671,plain,
( spl0_25
<=> ! [X0] : apply(apply(w,apply(w,apply(w,b))),X0) = apply(apply(X0,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f129,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,b))),X0) = apply(apply(X0,apply(X0,X0)),X0)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f108,f51]) ).
fof(f669,plain,
( spl0_24
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f94,f54,f13,f667]) ).
fof(f94,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,[],[f14,f55]) ).
fof(f665,plain,
( spl0_23
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f75,f50,f13,f663]) ).
fof(f75,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,[],[f14,f51]) ).
fof(f661,plain,
( spl0_22
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f42,f36,f21,f659]) ).
fof(f42,plain,
( ! [X0] : apply(X0,apply(apply(b,X0),apply(b,X0))) = apply(apply(w,w),apply(b,X0))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f37,f22]) ).
fof(f379,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f222,f184,f54,f377]) ).
fof(f222,plain,
( ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f185,f55]) ).
fof(f375,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f165,f111,f107,f373]) ).
fof(f165,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f112,f108]) ).
fof(f371,plain,
( spl0_19
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f134,f107,f13,f369]) ).
fof(f367,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f48,f36,f13,f365]) ).
fof(f48,plain,
( ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f14,f37]) ).
fof(f363,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f44,f36,f13,f361]) ).
fof(f44,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(X0,X0),X0),X0)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f14,f37]) ).
fof(f296,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f133,f107,f50,f293]) ).
fof(f133,plain,
( apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f108,f51]) ).
fof(f291,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f68,f50,f13,f289]) ).
fof(f68,plain,
( ! [X0] : apply(apply(w,apply(w,b)),X0) = apply(X0,apply(X0,X0))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f51,f14]) ).
fof(f278,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f34,f29,f13,f275]) ).
fof(f34,plain,
( apply(apply(w,apply(b,apply(apply(b,apply(w,w)),apply(b,w)))),apply(apply(w,w),b)) = apply(strong_fixed_point,apply(apply(w,w),b))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f14,f31]) ).
fof(f273,plain,
( spl0_13
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f46,f36,f21,f271]) ).
fof(f260,plain,
( spl0_12
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f256,f253,f36,f21,f258]) ).
fof(f253,plain,
( spl0_11
<=> ! [X0] : apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(apply(w,w),b),X0)) = apply(strong_fixed_point,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f256,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_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f254,f46]) ).
fof(f254,plain,
( ! [X0] : apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(apply(w,w),b),X0)) = apply(strong_fixed_point,X0)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( spl0_11
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f33,f29,f21,f253]) ).
fof(f33,plain,
( ! [X0] : apply(apply(apply(b,apply(w,w)),apply(b,w)),apply(apply(apply(w,w),b),X0)) = apply(strong_fixed_point,X0)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f22,f31]) ).
fof(f186,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f27,f21,f13,f184]) ).
fof(f27,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,[],[f14,f22]) ).
fof(f113,plain,
( spl0_9
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f18,f13,f111]) ).
fof(f18,plain,
( ! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_2 ),
inference(superposition,[],[f14,f14]) ).
fof(f109,plain,
( spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f17,f13,f107]) ).
fof(f17,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1)
| ~ spl0_2 ),
inference(superposition,[],[f14,f14]) ).
fof(f56,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f25,f21,f13,f54]) ).
fof(f25,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1))
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f22,f14]) ).
fof(f52,plain,
( spl0_6
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f24,f21,f13,f50]) ).
fof(f24,plain,
( ! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,b),X0),X1)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f22,f14]) ).
fof(f38,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f16,f13,f36]) ).
fof(f16,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0)
| ~ spl0_2 ),
inference(superposition,[],[f14,f14]) ).
fof(f32,plain,
spl0_4,
inference(avatar_split_clause,[],[f6,f29]) ).
fof(f6,plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(w,w),b)),
inference(forward_demodulation,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
fof(f5,plain,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(w,b),b)),
inference(forward_demodulation,[],[f3,f2]) ).
fof(f3,axiom,
strong_fixed_point = apply(apply(b,apply(apply(b,apply(w,w)),apply(b,w))),apply(apply(b,b),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f23,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f21]) ).
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',b_definition) ).
fof(f15,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f13]) ).
fof(f11,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f4,f8]) ).
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',prove_strong_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : COL003-18 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 18:29:07 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % (14814)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33 % (14818)WARNING: value z3 for option sas not known
% 0.17/0.34 % (14818)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.34 % (14815)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.34 % (14821)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.34 % (14820)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.34 % (14817)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.34 % (14819)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.34 % (14822)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.34 TRYING [1]
% 0.17/0.34 TRYING [2]
% 0.17/0.34 TRYING [1]
% 0.17/0.34 TRYING [2]
% 0.17/0.34 TRYING [3]
% 0.17/0.34 TRYING [3]
% 0.17/0.34 TRYING [4]
% 0.17/0.35 TRYING [4]
% 0.17/0.37 TRYING [5]
% 0.17/0.38 TRYING [5]
% 0.17/0.47 TRYING [6]
% 0.17/0.49 TRYING [6]
% 4.35/0.95 TRYING [7]
% 6.03/1.18 TRYING [7]
% 7.41/1.44 TRYING [1]
% 7.41/1.44 TRYING [2]
% 7.41/1.44 TRYING [3]
% 7.41/1.45 TRYING [4]
% 8.04/1.47 TRYING [5]
% 8.56/1.60 TRYING [6]
% 13.86/2.36 TRYING [7]
% 30.53/4.73 TRYING [8]
% 60.04/8.98 TRYING [8]
% 65.61/9.71 TRYING [8]
% 118.82/17.41 % (14820)First to succeed.
% 119.47/17.44 % (14820)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14814"
% 119.47/17.46 % (14820)Refutation found. Thanks to Tanya!
% 119.47/17.46 % SZS status Unsatisfiable for theBenchmark
% 119.47/17.46 % SZS output start Proof for theBenchmark
% See solution above
% 119.47/17.47 % (14820)------------------------------
% 119.47/17.47 % (14820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 119.47/17.47 % (14820)Termination reason: Refutation
% 119.47/17.47
% 119.47/17.47 % (14820)Memory used [KB]: 137894
% 119.47/17.47 % (14820)Time elapsed: 17.107 s
% 119.47/17.47 % (14820)Instructions burned: 29491 (million)
% 119.47/17.47 % (14814)Success in time 17.139 s
%------------------------------------------------------------------------------