%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 13:11:59 EDT 2024

% Result   : Theorem 3.59s 0.89s
% Output   : Refutation 3.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  315
% Syntax   : Number of formulae    : 1266 (  85 unt;   0 def)
%            Number of atoms       : 4406 (1081 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 5980 (2840   ~;2828   |;  12   &)
%                                         ( 290 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :   22 (   4 avg)
%            Number of predicates  :  292 ( 290 usr; 291 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   : 1337 (1329   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20759,plain,
    $false,
    inference(avatar_sat_refutation,[],[f100,f104,f108,f112,f116,f120,f124,f129,f133,f137,f145,f153,f158,f162,f174,f178,f182,f231,f236,f240,f318,f325,f329,f371,f406,f416,f432,f446,f450,f455,f459,f463,f467,f539,f544,f598,f602,f606,f610,f614,f742,f829,f833,f838,f842,f846,f850,f854,f858,f864,f868,f872,f1445,f1711,f1715,f1719,f1724,f1746,f1751,f1755,f1788,f1793,f1903,f1909,f1930,f1934,f1987,f1993,f2244,f2248,f2252,f2389,f2395,f2414,f2420,f2471,f2497,f2502,f2506,f2598,f2602,f2606,f2610,f3297,f3301,f3305,f3309,f3313,f3407,f3621,f3626,f3630,f3675,f3679,f3873,f3877,f3882,f3938,f3942,f4192,f4201,f4219,f4224,f4273,f4279,f4283,f4319,f4326,f4386,f4392,f4430,f4436,f4440,f4481,f4487,f4525,f4531,f4612,f4619,f4626,f4630,f4681,f4687,f4759,f4862,f4868,f4957,f4961,f5036,f5040,f5261,f5267,f5292,f5298,f5302,f5318,f5353,f5357,f5361,f5568,f5573,f5577,f5625,f5630,f5635,f5640,f5644,f5648,f5652,f5656,f5772,f5776,f6133,f6138,f6145,f6253,f6257,f6261,f6265,f6269,f6273,f6652,f6657,f6704,f6708,f6713,f6718,f6723,f6756,f6760,f6953,f7080,f7086,f7235,f7240,f7244,f7248,f7252,f7256,f7813,f7817,f7821,f8198,f8202,f8207,f8311,f8316,f8396,f8401,f8406,f8411,f8416,f8420,f8456,f8460,f8464,f8468,f8472,f8477,f8481,f8486,f8613,f8617,f9320,f9326,f9483,f9494,f9499,f9503,f9530,f9537,f9728,f9732,f9736,f9740,f9744,f9748,f9752,f9756,f9760,f9764,f9795,f9801,f11042,f11609,f11615,f11621,f11626,f11630,f11634,f11638,f11642,f11735,f11739,f11743,f11748,f11753,f11759,f12546,f13068,f13073,f13077,f13081,f13085,f13507,f13511,f13522,f13769,f13773,f13778,f13782,f13786,f13790,f13794,f13798,f13802,f13806,f13810,f13814,f13818,f13999,f14004,f14405,f14409,f14413,f14418,f14422,f14426,f14432,f14439,f14443,f14449,f14457,f14463,f14469,f14475,f14481,f14487,f14493,f14745,f14751,f14938,f17251,f20250,f20256,f20261,f20265,f20269,f20273,f20758]) ).

fof(f20758,plain,
    ( ~ spl2_19
    | spl2_1
    | ~ spl2_251 ),
    inference(avatar_split_clause,[],[f13819,f13775,f97,f233]) ).

fof(f233,plain,
    ( spl2_19
  <=> zero = antidomain(one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f97,plain,
    ( spl2_1
  <=> zero = antidomain(antidomain(sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f13775,plain,
    ( spl2_251
  <=> one = antidomain(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_251])]) ).

fof(f13819,plain,
    ( zero != antidomain(one)
    | spl2_1
    | ~ spl2_251 ),
    inference(superposition,[],[f99,f13777]) ).

fof(f13777,plain,
    ( one = antidomain(sK1)
    | ~ spl2_251 ),
    inference(avatar_component_clause,[],[f13775]) ).

fof(f99,plain,
    ( zero != antidomain(antidomain(sK1))
    | spl2_1 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f20273,plain,
    ( spl2_290
    | ~ spl2_11
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f2434,f2418,f143,f20271]) ).

fof(f20271,plain,
    ( spl2_290
  <=> ! [X0,X1] : addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_290])]) ).

fof(f143,plain,
    ( spl2_11
  <=> ! [X0,X1] : addition(X0,X1) = addition(X1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f2418,plain,
    ( spl2_75
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_75])]) ).

fof(f2434,plain,
    ( ! [X0,X1] : addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))))
    | ~ spl2_11
    | ~ spl2_75 ),
    inference(superposition,[],[f2419,f144]) ).

fof(f144,plain,
    ( ! [X0,X1] : addition(X0,X1) = addition(X1,X0)
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f2419,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1))
    | ~ spl2_75 ),
    inference(avatar_component_clause,[],[f2418]) ).

fof(f20269,plain,
    ( spl2_289
    | ~ spl2_44
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f2402,f2393,f836,f20267]) ).

fof(f20267,plain,
    ( spl2_289
  <=> ! [X0,X1] : addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),addition(X1,antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_289])]) ).

fof(f836,plain,
    ( spl2_44
  <=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).

fof(f2393,plain,
    ( spl2_73
  <=> ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_73])]) ).

fof(f2402,plain,
    ( ! [X0,X1] : addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),addition(X1,antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0)))))))
    | ~ spl2_44
    | ~ spl2_73 ),
    inference(superposition,[],[f837,f2394]) ).

fof(f2394,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))
    | ~ spl2_73 ),
    inference(avatar_component_clause,[],[f2393]) ).

fof(f837,plain,
    ( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1))
    | ~ spl2_44 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f20265,plain,
    ( spl2_288
    | ~ spl2_44
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f2401,f2393,f836,f20263]) ).

fof(f20263,plain,
    ( spl2_288
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),X1)) = addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_288])]) ).

fof(f2401,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),X1)) = addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))
    | ~ spl2_44
    | ~ spl2_73 ),
    inference(superposition,[],[f837,f2394]) ).

fof(f20261,plain,
    ( spl2_287
    | ~ spl2_42
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f2400,f2393,f827,f20259]) ).

fof(f20259,plain,
    ( spl2_287
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),X1) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_287])]) ).

fof(f827,plain,
    ( spl2_42
  <=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).

fof(f2400,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),X1) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),X1))
    | ~ spl2_42
    | ~ spl2_73 ),
    inference(superposition,[],[f828,f2394]) ).

fof(f828,plain,
    ( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2)
    | ~ spl2_42 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f20256,plain,
    ( spl2_286
    | ~ spl2_21
    | ~ spl2_35 ),
    inference(avatar_split_clause,[],[f580,f541,f316,f20253]) ).

fof(f20253,plain,
    ( spl2_286
  <=> antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(one)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(one)))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(one))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(one)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(one))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_286])]) ).

fof(f316,plain,
    ( spl2_21
  <=> ! [X2] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f541,plain,
    ( spl2_35
  <=> divergence(one) = antidomain(antidomain(antidomain(antidomain(divergence(one))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).

fof(f580,plain,
    ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(one)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(one)))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(one))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(one)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(one)))))))))))))
    | ~ spl2_21
    | ~ spl2_35 ),
    inference(superposition,[],[f317,f543]) ).

fof(f543,plain,
    ( divergence(one) = antidomain(antidomain(antidomain(antidomain(divergence(one)))))
    | ~ spl2_35 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f317,plain,
    ( ! [X2] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2)))))))))))))))
    | ~ spl2_21 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f20250,plain,
    ( spl2_285
    | ~ spl2_3
    | ~ spl2_17
    | ~ spl2_19
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f402,f316,f233,f180,f106,f20247]) ).

fof(f20247,plain,
    ( spl2_285
  <=> antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(zero)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(zero)))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(zero))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(zero)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(zero))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_285])]) ).

fof(f106,plain,
    ( spl2_3
  <=> ! [X0] : zero = multiplication(zero,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f180,plain,
    ( spl2_17
  <=> ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f402,plain,
    ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(zero)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(zero)))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(zero))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(zero)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(zero)))))))))))))
    | ~ spl2_3
    | ~ spl2_17
    | ~ spl2_19
    | ~ spl2_21 ),
    inference(forward_demodulation,[],[f395,f222]) ).

fof(f222,plain,
    ( divergence(zero) = antidomain(antidomain(zero))
    | ~ spl2_3
    | ~ spl2_17 ),
    inference(superposition,[],[f181,f107]) ).

fof(f107,plain,
    ( ! [X0] : zero = multiplication(zero,X0)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f181,plain,
    ( ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0))))))
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f395,plain,
    ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(zero))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(zero))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(zero)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(zero))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(zero))))))))))))))
    | ~ spl2_19
    | ~ spl2_21 ),
    inference(superposition,[],[f317,f235]) ).

fof(f235,plain,
    ( zero = antidomain(one)
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f17251,plain,
    ( spl2_284
    | ~ spl2_2
    | ~ spl2_6
    | ~ spl2_15
    | ~ spl2_19
    | ~ spl2_26
    | ~ spl2_78
    | ~ spl2_251
    | ~ spl2_271
    | ~ spl2_282 ),
    inference(avatar_split_clause,[],[f14870,f14749,f14436,f13775,f2500,f413,f233,f172,f118,f102,f17248]) ).

fof(f17248,plain,
    ( spl2_284
  <=> sK1 = antidomain(one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_284])]) ).

fof(f102,plain,
    ( spl2_2
  <=> ! [X0] : zero = multiplication(X0,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f118,plain,
    ( spl2_6
  <=> ! [X0] : multiplication(one,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f172,plain,
    ( spl2_15
  <=> ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f413,plain,
    ( spl2_26
  <=> divergence(zero) = antidomain(antidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f2500,plain,
    ( spl2_78
  <=> ! [X0,X1] : divergence(multiplication(X0,X1)) = antidomain(antidomain(multiplication(X0,multiplication(X1,divergence(multiplication(X0,X1)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_78])]) ).

fof(f14436,plain,
    ( spl2_271
  <=> zero = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_271])]) ).

fof(f14749,plain,
    ( spl2_282
  <=> ! [X0] : sK1 = multiplication(one,multiplication(X0,antidomain(antidomain(coantidomain(X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_282])]) ).

fof(f14870,plain,
    ( sK1 = antidomain(one)
    | ~ spl2_2
    | ~ spl2_6
    | ~ spl2_15
    | ~ spl2_19
    | ~ spl2_26
    | ~ spl2_78
    | ~ spl2_251
    | ~ spl2_271
    | ~ spl2_282 ),
    inference(forward_demodulation,[],[f14869,f13777]) ).

fof(f14869,plain,
    ( sK1 = antidomain(antidomain(sK1))
    | ~ spl2_2
    | ~ spl2_6
    | ~ spl2_15
    | ~ spl2_19
    | ~ spl2_26
    | ~ spl2_78
    | ~ spl2_251
    | ~ spl2_271
    | ~ spl2_282 ),
    inference(forward_demodulation,[],[f14868,f14689]) ).

fof(f14689,plain,
    ( ! [X0] : sK1 = multiplication(X0,sK1)
    | ~ spl2_2
    | ~ spl2_271 ),
    inference(superposition,[],[f103,f14438]) ).

fof(f14438,plain,
    ( zero = sK1
    | ~ spl2_271 ),
    inference(avatar_component_clause,[],[f14436]) ).

fof(f103,plain,
    ( ! [X0] : zero = multiplication(X0,zero)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f14868,plain,
    ( ! [X0] : sK1 = antidomain(antidomain(multiplication(X0,sK1)))
    | ~ spl2_2
    | ~ spl2_6
    | ~ spl2_15
    | ~ spl2_19
    | ~ spl2_26
    | ~ spl2_78
    | ~ spl2_251
    | ~ spl2_271
    | ~ spl2_282 ),
    inference(forward_demodulation,[],[f14867,f14689]) ).

fof(f14867,plain,
    ( ! [X0] : sK1 = antidomain(antidomain(multiplication(X0,multiplication(antidomain(antidomain(coantidomain(X0))),sK1))))
    | ~ spl2_6
    | ~ spl2_15
    | ~ spl2_19
    | ~ spl2_26
    | ~ spl2_78
    | ~ spl2_251
    | ~ spl2_271
    | ~ spl2_282 ),
    inference(forward_demodulation,[],[f14866,f14712]) ).

fof(f14712,plain,
    ( sK1 = divergence(sK1)
    | ~ spl2_19
    | ~ spl2_26
    | ~ spl2_251
    | ~ spl2_271 ),
    inference(forward_demodulation,[],[f14711,f14438]) ).

fof(f14711,plain,
    ( zero = divergence(sK1)
    | ~ spl2_19
    | ~ spl2_26
    | ~ spl2_251
    | ~ spl2_271 ),
    inference(forward_demodulation,[],[f14710,f235]) ).

fof(f14710,plain,
    ( antidomain(one) = divergence(sK1)
    | ~ spl2_26
    | ~ spl2_251
    | ~ spl2_271 ),
    inference(forward_demodulation,[],[f14693,f13777]) ).

fof(f14693,plain,
    ( antidomain(antidomain(sK1)) = divergence(sK1)
    | ~ spl2_26
    | ~ spl2_271 ),
    inference(superposition,[],[f415,f14438]) ).

fof(f415,plain,
    ( divergence(zero) = antidomain(antidomain(zero))
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f14866,plain,
    ( ! [X0] : divergence(sK1) = antidomain(antidomain(multiplication(X0,multiplication(antidomain(antidomain(coantidomain(X0))),divergence(sK1)))))
    | ~ spl2_6
    | ~ spl2_15
    | ~ spl2_78
    | ~ spl2_282 ),
    inference(forward_demodulation,[],[f14865,f173]) ).

fof(f173,plain,
    ( ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)
    | ~ spl2_15 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f14865,plain,
    ( ! [X0] : divergence(sK1) = antidomain(antidomain(multiplication(multiplication(X0,antidomain(antidomain(coantidomain(X0)))),divergence(sK1))))
    | ~ spl2_6
    | ~ spl2_78
    | ~ spl2_282 ),
    inference(forward_demodulation,[],[f14783,f119]) ).

fof(f119,plain,
    ( ! [X0] : multiplication(one,X0) = X0
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f14783,plain,
    ( ! [X0] : divergence(sK1) = antidomain(antidomain(multiplication(one,multiplication(multiplication(X0,antidomain(antidomain(coantidomain(X0)))),divergence(sK1)))))
    | ~ spl2_78
    | ~ spl2_282 ),
    inference(superposition,[],[f2501,f14750]) ).

fof(f14750,plain,
    ( ! [X0] : sK1 = multiplication(one,multiplication(X0,antidomain(antidomain(coantidomain(X0)))))
    | ~ spl2_282 ),
    inference(avatar_component_clause,[],[f14749]) ).

fof(f2501,plain,
    ( ! [X0,X1] : divergence(multiplication(X0,X1)) = antidomain(antidomain(multiplication(X0,multiplication(X1,divergence(multiplication(X0,X1))))))
    | ~ spl2_78 ),
    inference(avatar_component_clause,[],[f2500]) ).

fof(f14938,plain,
    ( spl2_283
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_88 ),
    inference(avatar_split_clause,[],[f3400,f3311,f612,f135,f14936]) ).

fof(f14936,plain,
    ( spl2_283
  <=> ! [X0] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_283])]) ).

fof(f135,plain,
    ( spl2_10
  <=> ! [X0] : zero = multiplication(antidomain(X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f612,plain,
    ( spl2_40
  <=> ! [X0,X1] : multiplication(X1,X0) = multiplication(addition(X1,antidomain(X0)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).

fof(f3311,plain,
    ( spl2_88
  <=> ! [X0] : antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_88])]) ).

fof(f3400,plain,
    ( ! [X0] : zero = multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(X0))))
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_88 ),
    inference(forward_demodulation,[],[f3387,f136]) ).

fof(f136,plain,
    ( ! [X0] : zero = multiplication(antidomain(X0),X0)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f3387,plain,
    ( ! [X0] : multiplication(antidomain(zero),multiplication(antidomain(X0),antidomain(antidomain(X0)))) = multiplication(antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))),multiplication(antidomain(X0),antidomain(antidomain(X0))))
    | ~ spl2_40
    | ~ spl2_88 ),
    inference(superposition,[],[f613,f3312]) ).

fof(f3312,plain,
    ( ! [X0] : antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))))
    | ~ spl2_88 ),
    inference(avatar_component_clause,[],[f3311]) ).

fof(f613,plain,
    ( ! [X0,X1] : multiplication(X1,X0) = multiplication(addition(X1,antidomain(X0)),X0)
    | ~ spl2_40 ),
    inference(avatar_component_clause,[],[f612]) ).

fof(f14751,plain,
    ( spl2_282
    | ~ spl2_5
    | ~ spl2_144
    | ~ spl2_271
    | ~ spl2_281 ),
    inference(avatar_split_clause,[],[f14747,f14743,f14436,f5627,f114,f14749]) ).

fof(f114,plain,
    ( spl2_5
  <=> ! [X0] : addition(X0,zero) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f5627,plain,
    ( spl2_144
  <=> one = addition(antidomain(zero),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_144])]) ).

fof(f14743,plain,
    ( spl2_281
  <=> ! [X0] : zero = multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(coantidomain(X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_281])]) ).

fof(f14747,plain,
    ( ! [X0] : sK1 = multiplication(one,multiplication(X0,antidomain(antidomain(coantidomain(X0)))))
    | ~ spl2_5
    | ~ spl2_144
    | ~ spl2_271
    | ~ spl2_281 ),
    inference(forward_demodulation,[],[f14746,f14438]) ).

fof(f14746,plain,
    ( ! [X0] : zero = multiplication(one,multiplication(X0,antidomain(antidomain(coantidomain(X0)))))
    | ~ spl2_5
    | ~ spl2_144
    | ~ spl2_281 ),
    inference(forward_demodulation,[],[f14744,f5810]) ).

fof(f5810,plain,
    ( one = antidomain(zero)
    | ~ spl2_5
    | ~ spl2_144 ),
    inference(superposition,[],[f5629,f115]) ).

fof(f115,plain,
    ( ! [X0] : addition(X0,zero) = X0
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f5629,plain,
    ( one = addition(antidomain(zero),zero)
    | ~ spl2_144 ),
    inference(avatar_component_clause,[],[f5627]) ).

fof(f14744,plain,
    ( ! [X0] : zero = multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(coantidomain(X0)))))
    | ~ spl2_281 ),
    inference(avatar_component_clause,[],[f14743]) ).

fof(f14745,plain,
    ( spl2_281
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_87 ),
    inference(avatar_split_clause,[],[f3373,f3307,f612,f135,f14743]) ).

fof(f3307,plain,
    ( spl2_87
  <=> ! [X0] : antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))) = addition(antidomain(zero),antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_87])]) ).

fof(f3373,plain,
    ( ! [X0] : zero = multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(coantidomain(X0)))))
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_87 ),
    inference(forward_demodulation,[],[f3359,f136]) ).

fof(f3359,plain,
    ( ! [X0] : multiplication(antidomain(zero),multiplication(X0,antidomain(antidomain(coantidomain(X0))))) = multiplication(antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))),multiplication(X0,antidomain(antidomain(coantidomain(X0)))))
    | ~ spl2_40
    | ~ spl2_87 ),
    inference(superposition,[],[f613,f3308]) ).

fof(f3308,plain,
    ( ! [X0] : antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))) = addition(antidomain(zero),antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))))
    | ~ spl2_87 ),
    inference(avatar_component_clause,[],[f3307]) ).

fof(f14493,plain,
    ( spl2_280
    | ~ spl2_5
    | ~ spl2_143
    | ~ spl2_271
    | ~ spl2_279 ),
    inference(avatar_split_clause,[],[f14489,f14485,f14436,f5622,f114,f14491]) ).

fof(f14491,plain,
    ( spl2_280
  <=> ! [X0] : sK1 = multiplication(multiplication(coantidomain(coantidomain(antidomain(X0))),X0),one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_280])]) ).

fof(f5622,plain,
    ( spl2_143
  <=> one = addition(coantidomain(zero),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_143])]) ).

fof(f14485,plain,
    ( spl2_279
  <=> ! [X0] : zero = multiplication(multiplication(coantidomain(coantidomain(antidomain(X0))),X0),coantidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_279])]) ).

fof(f14489,plain,
    ( ! [X0] : sK1 = multiplication(multiplication(coantidomain(coantidomain(antidomain(X0))),X0),one)
    | ~ spl2_5
    | ~ spl2_143
    | ~ spl2_271
    | ~ spl2_279 ),
    inference(forward_demodulation,[],[f14488,f14438]) ).

fof(f14488,plain,
    ( ! [X0] : zero = multiplication(multiplication(coantidomain(coantidomain(antidomain(X0))),X0),one)
    | ~ spl2_5
    | ~ spl2_143
    | ~ spl2_279 ),
    inference(forward_demodulation,[],[f14486,f5777]) ).

fof(f5777,plain,
    ( one = coantidomain(zero)
    | ~ spl2_5
    | ~ spl2_143 ),
    inference(superposition,[],[f5624,f115]) ).

fof(f5624,plain,
    ( one = addition(coantidomain(zero),zero)
    | ~ spl2_143 ),
    inference(avatar_component_clause,[],[f5622]) ).

fof(f14486,plain,
    ( ! [X0] : zero = multiplication(multiplication(coantidomain(coantidomain(antidomain(X0))),X0),coantidomain(zero))
    | ~ spl2_279 ),
    inference(avatar_component_clause,[],[f14485]) ).

fof(f14487,plain,
    ( spl2_279
    | ~ spl2_9
    | ~ spl2_38
    | ~ spl2_86 ),
    inference(avatar_split_clause,[],[f3350,f3303,f604,f131,f14485]) ).

fof(f131,plain,
    ( spl2_9
  <=> ! [X0] : zero = multiplication(X0,coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f604,plain,
    ( spl2_38
  <=> ! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).

fof(f3303,plain,
    ( spl2_86
  <=> ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(antidomain(X0))),X0)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X0))),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_86])]) ).

fof(f3350,plain,
    ( ! [X0] : zero = multiplication(multiplication(coantidomain(coantidomain(antidomain(X0))),X0),coantidomain(zero))
    | ~ spl2_9
    | ~ spl2_38
    | ~ spl2_86 ),
    inference(forward_demodulation,[],[f3337,f132]) ).

fof(f132,plain,
    ( ! [X0] : zero = multiplication(X0,coantidomain(X0))
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f3337,plain,
    ( ! [X0] : multiplication(multiplication(coantidomain(coantidomain(antidomain(X0))),X0),coantidomain(zero)) = multiplication(multiplication(coantidomain(coantidomain(antidomain(X0))),X0),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X0))),X0)))
    | ~ spl2_38
    | ~ spl2_86 ),
    inference(superposition,[],[f605,f3304]) ).

fof(f3304,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(antidomain(X0))),X0)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X0))),X0)))
    | ~ spl2_86 ),
    inference(avatar_component_clause,[],[f3303]) ).

fof(f605,plain,
    ( ! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0)))
    | ~ spl2_38 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f14481,plain,
    ( spl2_278
    | ~ spl2_9
    | ~ spl2_38
    | ~ spl2_84 ),
    inference(avatar_split_clause,[],[f3325,f3295,f604,f131,f14479]) ).

fof(f14479,plain,
    ( spl2_278
  <=> ! [X0] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0)),coantidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_278])]) ).

fof(f3295,plain,
    ( spl2_84
  <=> ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0))) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_84])]) ).

fof(f3325,plain,
    ( ! [X0] : zero = multiplication(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0)),coantidomain(zero))
    | ~ spl2_9
    | ~ spl2_38
    | ~ spl2_84 ),
    inference(forward_demodulation,[],[f3316,f132]) ).

fof(f3316,plain,
    ( ! [X0] : multiplication(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0)),coantidomain(zero)) = multiplication(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0)),coantidomain(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0))))
    | ~ spl2_38
    | ~ spl2_84 ),
    inference(superposition,[],[f605,f3296]) ).

fof(f3296,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0))) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0))))
    | ~ spl2_84 ),
    inference(avatar_component_clause,[],[f3295]) ).

fof(f14475,plain,
    ( spl2_277
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_71 ),
    inference(avatar_split_clause,[],[f2330,f2250,f870,f131,f14473]) ).

fof(f14473,plain,
    ( spl2_277
  <=> ! [X0] : zero = multiplication(antidomain(X0),coantidomain(antidomain(multiplication(X0,antidomain(zero))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_277])]) ).

fof(f870,plain,
    ( spl2_52
  <=> ! [X0,X1] : multiplication(X1,coantidomain(X0)) = multiplication(addition(X1,X0),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).

fof(f2250,plain,
    ( spl2_71
  <=> ! [X0] : antidomain(multiplication(X0,antidomain(zero))) = addition(antidomain(X0),antidomain(multiplication(X0,antidomain(zero)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_71])]) ).

fof(f2330,plain,
    ( ! [X0] : zero = multiplication(antidomain(X0),coantidomain(antidomain(multiplication(X0,antidomain(zero)))))
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_71 ),
    inference(forward_demodulation,[],[f2316,f132]) ).

fof(f2316,plain,
    ( ! [X0] : multiplication(antidomain(X0),coantidomain(antidomain(multiplication(X0,antidomain(zero))))) = multiplication(antidomain(multiplication(X0,antidomain(zero))),coantidomain(antidomain(multiplication(X0,antidomain(zero)))))
    | ~ spl2_52
    | ~ spl2_71 ),
    inference(superposition,[],[f871,f2251]) ).

fof(f2251,plain,
    ( ! [X0] : antidomain(multiplication(X0,antidomain(zero))) = addition(antidomain(X0),antidomain(multiplication(X0,antidomain(zero))))
    | ~ spl2_71 ),
    inference(avatar_component_clause,[],[f2250]) ).

fof(f871,plain,
    ( ! [X0,X1] : multiplication(X1,coantidomain(X0)) = multiplication(addition(X1,X0),coantidomain(X0))
    | ~ spl2_52 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f14469,plain,
    ( spl2_276
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_71 ),
    inference(avatar_split_clause,[],[f2329,f2250,f852,f135,f14467]) ).

fof(f14467,plain,
    ( spl2_276
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(X0,antidomain(zero)))),antidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_276])]) ).

fof(f852,plain,
    ( spl2_48
  <=> ! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).

fof(f2329,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(X0,antidomain(zero)))),antidomain(X0))
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_71 ),
    inference(forward_demodulation,[],[f2315,f136]) ).

fof(f2315,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(X0,antidomain(zero)))),antidomain(X0)) = multiplication(antidomain(antidomain(multiplication(X0,antidomain(zero)))),antidomain(multiplication(X0,antidomain(zero))))
    | ~ spl2_48
    | ~ spl2_71 ),
    inference(superposition,[],[f853,f2251]) ).

fof(f853,plain,
    ( ! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0))
    | ~ spl2_48 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f14463,plain,
    ( spl2_275
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_71 ),
    inference(avatar_split_clause,[],[f2327,f2250,f1709,f537,f448,f160,f14461]) ).

fof(f14461,plain,
    ( spl2_275
  <=> ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(multiplication(X0,antidomain(zero)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_275])]) ).

fof(f160,plain,
    ( spl2_14
  <=> ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f448,plain,
    ( spl2_29
  <=> ! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).

fof(f537,plain,
    ( spl2_34
  <=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).

fof(f1709,plain,
    ( spl2_54
  <=> ! [X0,X1] : addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)) = addition(one,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).

fof(f2327,plain,
    ( ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(multiplication(X0,antidomain(zero))))
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_71 ),
    inference(forward_demodulation,[],[f2308,f1842]) ).

fof(f1842,plain,
    ( ! [X0] : one = addition(one,antidomain(X0))
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1805,f565]) ).

fof(f565,plain,
    ( ! [X0] : one = addition(antidomain(X0),one)
    | ~ spl2_29
    | ~ spl2_34 ),
    inference(superposition,[],[f538,f449]) ).

fof(f449,plain,
    ( ! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0)))
    | ~ spl2_29 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f538,plain,
    ( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1))
    | ~ spl2_34 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f1805,plain,
    ( ! [X0] : addition(one,antidomain(X0)) = addition(antidomain(antidomain(antidomain(X0))),one)
    | ~ spl2_14
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f161]) ).

fof(f161,plain,
    ( ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0))
    | ~ spl2_14 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f1710,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)) = addition(one,X1)
    | ~ spl2_54 ),
    inference(avatar_component_clause,[],[f1709]) ).

fof(f2308,plain,
    ( ! [X0] : addition(one,antidomain(multiplication(X0,antidomain(zero)))) = addition(antidomain(antidomain(X0)),antidomain(multiplication(X0,antidomain(zero))))
    | ~ spl2_54
    | ~ spl2_71 ),
    inference(superposition,[],[f1710,f2251]) ).

fof(f14457,plain,
    ( spl2_274
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f2296,f2246,f870,f131,f14455]) ).

fof(f14455,plain,
    ( spl2_274
  <=> ! [X0] : zero = multiplication(antidomain(zero),coantidomain(antidomain(multiplication(X0,divergence(zero))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_274])]) ).

fof(f2246,plain,
    ( spl2_70
  <=> ! [X0] : antidomain(multiplication(X0,divergence(zero))) = addition(antidomain(zero),antidomain(multiplication(X0,divergence(zero)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_70])]) ).

fof(f2296,plain,
    ( ! [X0] : zero = multiplication(antidomain(zero),coantidomain(antidomain(multiplication(X0,divergence(zero)))))
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f2290,f132]) ).

fof(f2290,plain,
    ( ! [X0] : multiplication(antidomain(zero),coantidomain(antidomain(multiplication(X0,divergence(zero))))) = multiplication(antidomain(multiplication(X0,divergence(zero))),coantidomain(antidomain(multiplication(X0,divergence(zero)))))
    | ~ spl2_52
    | ~ spl2_70 ),
    inference(superposition,[],[f871,f2247]) ).

fof(f2247,plain,
    ( ! [X0] : antidomain(multiplication(X0,divergence(zero))) = addition(antidomain(zero),antidomain(multiplication(X0,divergence(zero))))
    | ~ spl2_70 ),
    inference(avatar_component_clause,[],[f2246]) ).

fof(f14449,plain,
    ( spl2_273
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f2295,f2246,f852,f135,f14447]) ).

fof(f14447,plain,
    ( spl2_273
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(X0,divergence(zero)))),antidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_273])]) ).

fof(f2295,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(X0,divergence(zero)))),antidomain(zero))
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f2289,f136]) ).

fof(f2289,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(X0,divergence(zero)))),antidomain(zero)) = multiplication(antidomain(antidomain(multiplication(X0,divergence(zero)))),antidomain(multiplication(X0,divergence(zero))))
    | ~ spl2_48
    | ~ spl2_70 ),
    inference(superposition,[],[f853,f2247]) ).

fof(f14443,plain,
    ( spl2_272
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f2275,f2242,f870,f131,f14441]) ).

fof(f14441,plain,
    ( spl2_272
  <=> ! [X0] : zero = multiplication(coantidomain(X0),coantidomain(coantidomain(multiplication(coantidomain(zero),X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_272])]) ).

fof(f2242,plain,
    ( spl2_69
  <=> ! [X0] : coantidomain(multiplication(coantidomain(zero),X0)) = addition(coantidomain(X0),coantidomain(multiplication(coantidomain(zero),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).

fof(f2275,plain,
    ( ! [X0] : zero = multiplication(coantidomain(X0),coantidomain(coantidomain(multiplication(coantidomain(zero),X0))))
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f2269,f132]) ).

fof(f2269,plain,
    ( ! [X0] : multiplication(coantidomain(X0),coantidomain(coantidomain(multiplication(coantidomain(zero),X0)))) = multiplication(coantidomain(multiplication(coantidomain(zero),X0)),coantidomain(coantidomain(multiplication(coantidomain(zero),X0))))
    | ~ spl2_52
    | ~ spl2_69 ),
    inference(superposition,[],[f871,f2243]) ).

fof(f2243,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(zero),X0)) = addition(coantidomain(X0),coantidomain(multiplication(coantidomain(zero),X0)))
    | ~ spl2_69 ),
    inference(avatar_component_clause,[],[f2242]) ).

fof(f14439,plain,
    ( spl2_271
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_251 ),
    inference(avatar_split_clause,[],[f13890,f13775,f135,f118,f14436]) ).

fof(f13890,plain,
    ( zero = sK1
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_251 ),
    inference(forward_demodulation,[],[f13835,f119]) ).

fof(f13835,plain,
    ( zero = multiplication(one,sK1)
    | ~ spl2_10
    | ~ spl2_251 ),
    inference(superposition,[],[f136,f13777]) ).

fof(f14432,plain,
    ( spl2_270
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f2274,f2242,f852,f135,f14430]) ).

fof(f14430,plain,
    ( spl2_270
  <=> ! [X0] : zero = multiplication(antidomain(coantidomain(multiplication(coantidomain(zero),X0))),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_270])]) ).

fof(f2274,plain,
    ( ! [X0] : zero = multiplication(antidomain(coantidomain(multiplication(coantidomain(zero),X0))),coantidomain(X0))
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f2268,f136]) ).

fof(f2268,plain,
    ( ! [X0] : multiplication(antidomain(coantidomain(multiplication(coantidomain(zero),X0))),coantidomain(X0)) = multiplication(antidomain(coantidomain(multiplication(coantidomain(zero),X0))),coantidomain(multiplication(coantidomain(zero),X0)))
    | ~ spl2_48
    | ~ spl2_69 ),
    inference(superposition,[],[f853,f2243]) ).

fof(f14426,plain,
    ( spl2_269
    | ~ spl2_12
    | ~ spl2_28
    | ~ spl2_34
    | ~ spl2_55
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f2272,f2242,f1713,f537,f444,f151,f14424]) ).

fof(f14424,plain,
    ( spl2_269
  <=> ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(multiplication(coantidomain(zero),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_269])]) ).

fof(f151,plain,
    ( spl2_12
  <=> ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f444,plain,
    ( spl2_28
  <=> ! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).

fof(f1713,plain,
    ( spl2_55
  <=> ! [X0,X1] : addition(one,X1) = addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_55])]) ).

fof(f2272,plain,
    ( ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(multiplication(coantidomain(zero),X0)))
    | ~ spl2_12
    | ~ spl2_28
    | ~ spl2_34
    | ~ spl2_55
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f2261,f1887]) ).

fof(f1887,plain,
    ( ! [X0] : one = addition(one,coantidomain(X0))
    | ~ spl2_12
    | ~ spl2_28
    | ~ spl2_34
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f1859,f569]) ).

fof(f569,plain,
    ( ! [X0] : one = addition(coantidomain(X0),one)
    | ~ spl2_28
    | ~ spl2_34 ),
    inference(superposition,[],[f538,f445]) ).

fof(f445,plain,
    ( ! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0)))
    | ~ spl2_28 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f1859,plain,
    ( ! [X0] : addition(one,coantidomain(X0)) = addition(coantidomain(coantidomain(coantidomain(X0))),one)
    | ~ spl2_12
    | ~ spl2_55 ),
    inference(superposition,[],[f1714,f152]) ).

fof(f152,plain,
    ( ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0))
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f1714,plain,
    ( ! [X0,X1] : addition(one,X1) = addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1))
    | ~ spl2_55 ),
    inference(avatar_component_clause,[],[f1713]) ).

fof(f2261,plain,
    ( ! [X0] : addition(one,coantidomain(multiplication(coantidomain(zero),X0))) = addition(coantidomain(coantidomain(X0)),coantidomain(multiplication(coantidomain(zero),X0)))
    | ~ spl2_55
    | ~ spl2_69 ),
    inference(superposition,[],[f1714,f2243]) ).

fof(f14422,plain,
    ( spl2_268
    | ~ spl2_20
    | ~ spl2_66 ),
    inference(avatar_split_clause,[],[f2163,f1932,f238,f14420]) ).

fof(f14420,plain,
    ( spl2_268
  <=> ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = multiplication(addition(X2,X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_268])]) ).

fof(f238,plain,
    ( spl2_20
  <=> ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f1932,plain,
    ( spl2_66
  <=> ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_66])]) ).

fof(f2163,plain,
    ( ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = multiplication(addition(X2,X0),X1)
    | ~ spl2_20
    | ~ spl2_66 ),
    inference(superposition,[],[f1933,f239]) ).

fof(f239,plain,
    ( ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2))
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f1933,plain,
    ( ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1))
    | ~ spl2_66 ),
    inference(avatar_component_clause,[],[f1932]) ).

fof(f14418,plain,
    ( spl2_267
    | ~ spl2_18
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f2042,f1928,f229,f14416]) ).

fof(f14416,plain,
    ( spl2_267
  <=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_267])]) ).

fof(f229,plain,
    ( spl2_18
  <=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f1928,plain,
    ( spl2_65
  <=> ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_65])]) ).

fof(f2042,plain,
    ( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1))
    | ~ spl2_18
    | ~ spl2_65 ),
    inference(superposition,[],[f1929,f230]) ).

fof(f230,plain,
    ( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))
    | ~ spl2_18 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f1929,plain,
    ( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1))
    | ~ spl2_65 ),
    inference(avatar_component_clause,[],[f1928]) ).

fof(f14413,plain,
    ( spl2_266
    | ~ spl2_26
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1796,f1709,f413,f14411]) ).

fof(f14411,plain,
    ( spl2_266
  <=> ! [X0] : addition(one,X0) = addition(divergence(zero),addition(antidomain(zero),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_266])]) ).

fof(f1796,plain,
    ( ! [X0] : addition(one,X0) = addition(divergence(zero),addition(antidomain(zero),X0))
    | ~ spl2_26
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f415]) ).

fof(f14409,plain,
    ( spl2_265
    | ~ spl2_6
    | ~ spl2_33
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f1690,f870,f465,f118,f14407]) ).

fof(f14407,plain,
    ( spl2_265
  <=> ! [X0] : coantidomain(divergence(X0)) = multiplication(antidomain(divergence(X0)),coantidomain(divergence(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_265])]) ).

fof(f465,plain,
    ( spl2_33
  <=> ! [X0] : one = addition(antidomain(divergence(X0)),divergence(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f1690,plain,
    ( ! [X0] : coantidomain(divergence(X0)) = multiplication(antidomain(divergence(X0)),coantidomain(divergence(X0)))
    | ~ spl2_6
    | ~ spl2_33
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1652,f119]) ).

fof(f1652,plain,
    ( ! [X0] : multiplication(antidomain(divergence(X0)),coantidomain(divergence(X0))) = multiplication(one,coantidomain(divergence(X0)))
    | ~ spl2_33
    | ~ spl2_52 ),
    inference(superposition,[],[f871,f466]) ).

fof(f466,plain,
    ( ! [X0] : one = addition(antidomain(divergence(X0)),divergence(X0))
    | ~ spl2_33 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f14405,plain,
    ( spl2_264
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_51 ),
    inference(avatar_split_clause,[],[f1614,f866,f448,f118,f14403]) ).

fof(f14403,plain,
    ( spl2_264
  <=> ! [X0] : coantidomain(antidomain(X0)) = multiplication(antidomain(antidomain(X0)),coantidomain(antidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_264])]) ).

fof(f866,plain,
    ( spl2_51
  <=> ! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = multiplication(X1,coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).

fof(f1614,plain,
    ( ! [X0] : coantidomain(antidomain(X0)) = multiplication(antidomain(antidomain(X0)),coantidomain(antidomain(X0)))
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_51 ),
    inference(forward_demodulation,[],[f1584,f119]) ).

fof(f1584,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(X0)),coantidomain(antidomain(X0))) = multiplication(one,coantidomain(antidomain(X0)))
    | ~ spl2_29
    | ~ spl2_51 ),
    inference(superposition,[],[f867,f449]) ).

fof(f867,plain,
    ( ! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = multiplication(X1,coantidomain(X0))
    | ~ spl2_51 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f14004,plain,
    ( spl2_263
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_251
    | ~ spl2_262 ),
    inference(avatar_split_clause,[],[f14000,f13997,f13775,f135,f118,f14002]) ).

fof(f14002,plain,
    ( spl2_263
  <=> ! [X0,X1] : sK1 = multiplication(antidomain(addition(X0,X1)),multiplication(X1,coantidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_263])]) ).

fof(f13997,plain,
    ( spl2_262
  <=> ! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),multiplication(X1,coantidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_262])]) ).

fof(f14000,plain,
    ( ! [X0,X1] : sK1 = multiplication(antidomain(addition(X0,X1)),multiplication(X1,coantidomain(X0)))
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_251
    | ~ spl2_262 ),
    inference(forward_demodulation,[],[f13998,f13890]) ).

fof(f13998,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),multiplication(X1,coantidomain(X0)))
    | ~ spl2_262 ),
    inference(avatar_component_clause,[],[f13997]) ).

fof(f13999,plain,
    ( spl2_262
    | ~ spl2_32
    | ~ spl2_51 ),
    inference(avatar_split_clause,[],[f1598,f866,f461,f13997]) ).

fof(f461,plain,
    ( spl2_32
  <=> ! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f1598,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),multiplication(X1,coantidomain(X0)))
    | ~ spl2_32
    | ~ spl2_51 ),
    inference(superposition,[],[f462,f867]) ).

fof(f462,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1))
    | ~ spl2_32 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f13818,plain,
    ( spl2_261
    | ~ spl2_46
    | ~ spl2_50 ),
    inference(avatar_split_clause,[],[f1475,f862,f844,f13816]) ).

fof(f13816,plain,
    ( spl2_261
  <=> ! [X0] : multiplication(X0,addition(X0,one)) = multiplication(addition(X0,one),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_261])]) ).

fof(f844,plain,
    ( spl2_46
  <=> ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).

fof(f862,plain,
    ( spl2_50
  <=> ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).

fof(f1475,plain,
    ( ! [X0] : multiplication(X0,addition(X0,one)) = multiplication(addition(X0,one),X0)
    | ~ spl2_46
    | ~ spl2_50 ),
    inference(superposition,[],[f863,f845]) ).

fof(f845,plain,
    ( ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0)
    | ~ spl2_46 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f863,plain,
    ( ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0)
    | ~ spl2_50 ),
    inference(avatar_component_clause,[],[f862]) ).

fof(f13814,plain,
    ( spl2_260
    | ~ spl2_11
    | ~ spl2_50 ),
    inference(avatar_split_clause,[],[f1447,f862,f143,f13812]) ).

fof(f13812,plain,
    ( spl2_260
  <=> ! [X0,X1] : multiplication(addition(one,X0),X1) = addition(multiplication(X0,X1),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_260])]) ).

fof(f1447,plain,
    ( ! [X0,X1] : multiplication(addition(one,X0),X1) = addition(multiplication(X0,X1),X1)
    | ~ spl2_11
    | ~ spl2_50 ),
    inference(superposition,[],[f863,f144]) ).

fof(f13810,plain,
    ( spl2_259
    | ~ spl2_45
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f1384,f856,f840,f13808]) ).

fof(f13808,plain,
    ( spl2_259
  <=> ! [X0] : multiplication(X0,addition(one,X0)) = multiplication(addition(one,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_259])]) ).

fof(f840,plain,
    ( spl2_45
  <=> ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).

fof(f856,plain,
    ( spl2_49
  <=> ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).

fof(f1384,plain,
    ( ! [X0] : multiplication(X0,addition(one,X0)) = multiplication(addition(one,X0),X0)
    | ~ spl2_45
    | ~ spl2_49 ),
    inference(superposition,[],[f857,f841]) ).

fof(f841,plain,
    ( ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1))
    | ~ spl2_45 ),
    inference(avatar_component_clause,[],[f840]) ).

fof(f857,plain,
    ( ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0))
    | ~ spl2_49 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f13806,plain,
    ( spl2_258
    | ~ spl2_11
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f1358,f856,f143,f13804]) ).

fof(f13804,plain,
    ( spl2_258
  <=> ! [X0,X1] : addition(X1,multiplication(X0,X1)) = multiplication(addition(X0,one),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_258])]) ).

fof(f1358,plain,
    ( ! [X0,X1] : addition(X1,multiplication(X0,X1)) = multiplication(addition(X0,one),X1)
    | ~ spl2_11
    | ~ spl2_49 ),
    inference(superposition,[],[f857,f144]) ).

fof(f13802,plain,
    ( spl2_257
    | ~ spl2_4
    | ~ spl2_28
    | ~ spl2_47 ),
    inference(avatar_split_clause,[],[f1275,f848,f444,f110,f13800]) ).

fof(f13800,plain,
    ( spl2_257
  <=> ! [X0] : antidomain(coantidomain(X0)) = multiplication(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_257])]) ).

fof(f110,plain,
    ( spl2_4
  <=> ! [X0] : multiplication(X0,one) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f848,plain,
    ( spl2_47
  <=> ! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).

fof(f1275,plain,
    ( ! [X0] : antidomain(coantidomain(X0)) = multiplication(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0)))
    | ~ spl2_4
    | ~ spl2_28
    | ~ spl2_47 ),
    inference(forward_demodulation,[],[f1250,f111]) ).

fof(f111,plain,
    ( ! [X0] : multiplication(X0,one) = X0
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f1250,plain,
    ( ! [X0] : multiplication(antidomain(coantidomain(X0)),coantidomain(coantidomain(X0))) = multiplication(antidomain(coantidomain(X0)),one)
    | ~ spl2_28
    | ~ spl2_47 ),
    inference(superposition,[],[f849,f445]) ).

fof(f849,plain,
    ( ! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1)
    | ~ spl2_47 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f13798,plain,
    ( spl2_256
    | ~ spl2_11
    | ~ spl2_46 ),
    inference(avatar_split_clause,[],[f1122,f844,f143,f13796]) ).

fof(f13796,plain,
    ( spl2_256
  <=> ! [X0,X1] : multiplication(X1,addition(one,X0)) = addition(multiplication(X1,X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_256])]) ).

fof(f1122,plain,
    ( ! [X0,X1] : multiplication(X1,addition(one,X0)) = addition(multiplication(X1,X0),X1)
    | ~ spl2_11
    | ~ spl2_46 ),
    inference(superposition,[],[f845,f144]) ).

fof(f13794,plain,
    ( spl2_255
    | ~ spl2_5
    | ~ spl2_32
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1112,f840,f461,f114,f13792]) ).

fof(f13792,plain,
    ( spl2_255
  <=> ! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),addition(one,multiplication(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_255])]) ).

fof(f1112,plain,
    ( ! [X0,X1] : antidomain(X0) = multiplication(antidomain(X0),addition(one,multiplication(X0,X1)))
    | ~ spl2_5
    | ~ spl2_32
    | ~ spl2_45 ),
    inference(forward_demodulation,[],[f1068,f115]) ).

fof(f1068,plain,
    ( ! [X0,X1] : addition(antidomain(X0),zero) = multiplication(antidomain(X0),addition(one,multiplication(X0,X1)))
    | ~ spl2_32
    | ~ spl2_45 ),
    inference(superposition,[],[f841,f462]) ).

fof(f13790,plain,
    ( spl2_254
    | ~ spl2_11
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1047,f840,f143,f13788]) ).

fof(f13788,plain,
    ( spl2_254
  <=> ! [X0,X1] : addition(X1,multiplication(X1,X0)) = multiplication(X1,addition(X0,one)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_254])]) ).

fof(f1047,plain,
    ( ! [X0,X1] : addition(X1,multiplication(X1,X0)) = multiplication(X1,addition(X0,one))
    | ~ spl2_11
    | ~ spl2_45 ),
    inference(superposition,[],[f841,f144]) ).

fof(f13786,plain,
    ( spl2_253
    | ~ spl2_11
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f950,f836,f143,f13784]) ).

fof(f13784,plain,
    ( spl2_253
  <=> ! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(addition(X1,X2),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_253])]) ).

fof(f950,plain,
    ( ! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(addition(X1,X2),X0)
    | ~ spl2_11
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f144]) ).

fof(f13782,plain,
    ( spl2_252
    | ~ spl2_11
    | ~ spl2_42 ),
    inference(avatar_split_clause,[],[f896,f827,f143,f13780]) ).

fof(f13780,plain,
    ( spl2_252
  <=> ! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(X1,addition(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_252])]) ).

fof(f896,plain,
    ( ! [X2,X0,X1] : addition(X2,addition(X0,X1)) = addition(X1,addition(X0,X2))
    | ~ spl2_11
    | ~ spl2_42 ),
    inference(superposition,[],[f828,f144]) ).

fof(f13778,plain,
    ( spl2_251
    | ~ spl2_14
    | ~ spl2_248 ),
    inference(avatar_split_clause,[],[f13524,f13520,f160,f13775]) ).

fof(f13520,plain,
    ( spl2_248
  <=> ! [X0] : addition(antidomain(antidomain(sK1)),X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_248])]) ).

fof(f13524,plain,
    ( one = antidomain(sK1)
    | ~ spl2_14
    | ~ spl2_248 ),
    inference(superposition,[],[f13521,f161]) ).

fof(f13521,plain,
    ( ! [X0] : addition(antidomain(antidomain(sK1)),X0) = X0
    | ~ spl2_248 ),
    inference(avatar_component_clause,[],[f13520]) ).

fof(f13773,plain,
    ( spl2_250
    | ~ spl2_16
    | ~ spl2_42 ),
    inference(avatar_split_clause,[],[f894,f827,f176,f13771]) ).

fof(f13771,plain,
    ( spl2_250
  <=> ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_250])]) ).

fof(f176,plain,
    ( spl2_16
  <=> ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f894,plain,
    ( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2))
    | ~ spl2_16
    | ~ spl2_42 ),
    inference(superposition,[],[f828,f177]) ).

fof(f177,plain,
    ( ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f13769,plain,
    ( spl2_249
    | ~ spl2_32
    | ~ spl2_39 ),
    inference(avatar_split_clause,[],[f762,f608,f461,f13767]) ).

fof(f13767,plain,
    ( spl2_249
  <=> ! [X0,X1] : zero = multiplication(antidomain(addition(antidomain(X0),X1)),multiplication(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_249])]) ).

fof(f608,plain,
    ( spl2_39
  <=> ! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).

fof(f762,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(addition(antidomain(X0),X1)),multiplication(X1,X0))
    | ~ spl2_32
    | ~ spl2_39 ),
    inference(superposition,[],[f462,f609]) ).

fof(f609,plain,
    ( ! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0)
    | ~ spl2_39 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f13522,plain,
    ( spl2_248
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_25
    | ~ spl2_26
    | ~ spl2_126
    | ~ spl2_173
    | ~ spl2_247 ),
    inference(avatar_split_clause,[],[f13518,f13509,f7083,f4865,f413,f404,f110,f102,f13520]) ).

fof(f404,plain,
    ( spl2_25
  <=> ! [X0] : addition(zero,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).

fof(f4865,plain,
    ( spl2_126
  <=> zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_126])]) ).

fof(f7083,plain,
    ( spl2_173
  <=> zero = multiplication(divergence(zero),one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_173])]) ).

fof(f13509,plain,
    ( spl2_247
  <=> ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_247])]) ).

fof(f13518,plain,
    ( ! [X0] : addition(antidomain(antidomain(sK1)),X0) = X0
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_25
    | ~ spl2_26
    | ~ spl2_126
    | ~ spl2_173
    | ~ spl2_247 ),
    inference(forward_demodulation,[],[f13517,f405]) ).

fof(f405,plain,
    ( ! [X0] : addition(zero,X0) = X0
    | ~ spl2_25 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f13517,plain,
    ( ! [X0] : addition(zero,X0) = addition(antidomain(antidomain(sK1)),addition(zero,X0))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_26
    | ~ spl2_126
    | ~ spl2_173
    | ~ spl2_247 ),
    inference(forward_demodulation,[],[f13516,f7087]) ).

fof(f7087,plain,
    ( zero = divergence(zero)
    | ~ spl2_4
    | ~ spl2_173 ),
    inference(superposition,[],[f7085,f111]) ).

fof(f7085,plain,
    ( zero = multiplication(divergence(zero),one)
    | ~ spl2_173 ),
    inference(avatar_component_clause,[],[f7083]) ).

fof(f13516,plain,
    ( ! [X0] : addition(divergence(zero),X0) = addition(antidomain(antidomain(sK1)),addition(divergence(zero),X0))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_26
    | ~ spl2_126
    | ~ spl2_173
    | ~ spl2_247 ),
    inference(forward_demodulation,[],[f13515,f415]) ).

fof(f13515,plain,
    ( ! [X0] : addition(antidomain(antidomain(zero)),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(zero)),X0))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_26
    | ~ spl2_126
    | ~ spl2_173
    | ~ spl2_247 ),
    inference(forward_demodulation,[],[f13514,f103]) ).

fof(f13514,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),zero))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(star(sK0),zero))),X0))
    | ~ spl2_4
    | ~ spl2_26
    | ~ spl2_126
    | ~ spl2_173
    | ~ spl2_247 ),
    inference(forward_demodulation,[],[f13513,f7087]) ).

fof(f13513,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0))
    | ~ spl2_26
    | ~ spl2_126
    | ~ spl2_247 ),
    inference(forward_demodulation,[],[f13512,f415]) ).

fof(f13512,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))),X0))
    | ~ spl2_126
    | ~ spl2_247 ),
    inference(forward_demodulation,[],[f13510,f4867]) ).

fof(f4867,plain,
    ( zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))
    | ~ spl2_126 ),
    inference(avatar_component_clause,[],[f4865]) ).

fof(f13510,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))),X0))
    | ~ spl2_247 ),
    inference(avatar_component_clause,[],[f13509]) ).

fof(f13511,plain,
    ( spl2_247
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f2459,f2418,f848,f608,f448,f430,f160,f118,f110,f13509]) ).

fof(f430,plain,
    ( spl2_27
  <=> ! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).

fof(f2459,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))),X0))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f2445,f1270]) ).

fof(f1270,plain,
    ( ! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0)))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47 ),
    inference(forward_demodulation,[],[f1269,f771]) ).

fof(f771,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_39 ),
    inference(forward_demodulation,[],[f748,f119]) ).

fof(f748,plain,
    ( ! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0)
    | ~ spl2_29
    | ~ spl2_39 ),
    inference(superposition,[],[f609,f449]) ).

fof(f1269,plain,
    ( ! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0))
    | ~ spl2_4
    | ~ spl2_14
    | ~ spl2_47 ),
    inference(forward_demodulation,[],[f1246,f111]) ).

fof(f1246,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one)
    | ~ spl2_14
    | ~ spl2_47 ),
    inference(superposition,[],[f849,f161]) ).

fof(f2445,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(sK1)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))),X0))
    | ~ spl2_27
    | ~ spl2_75 ),
    inference(superposition,[],[f431,f2419]) ).

fof(f431,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))
    | ~ spl2_27 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f13507,plain,
    ( spl2_246
    | ~ spl2_7
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f2433,f2418,f122,f13505]) ).

fof(f13505,plain,
    ( spl2_246
  <=> ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_246])]) ).

fof(f122,plain,
    ( spl2_7
  <=> ! [X0] : addition(X0,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f2433,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))
    | ~ spl2_7
    | ~ spl2_75 ),
    inference(superposition,[],[f2419,f123]) ).

fof(f123,plain,
    ( ! [X0] : addition(X0,X0) = X0
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f13085,plain,
    ( spl2_245
    | ~ spl2_44
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1917,f1907,f836,f13083]) ).

fof(f13083,plain,
    ( spl2_245
  <=> ! [X0,X1] : addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),addition(X1,antidomain(antidomain(multiplication(sK0,divergence(X0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_245])]) ).

fof(f1907,plain,
    ( spl2_64
  <=> ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))) = addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_64])]) ).

fof(f1917,plain,
    ( ! [X0,X1] : addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),addition(X1,antidomain(antidomain(multiplication(sK0,divergence(X0))))))
    | ~ spl2_44
    | ~ spl2_64 ),
    inference(superposition,[],[f837,f1908]) ).

fof(f1908,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))) = addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))
    | ~ spl2_64 ),
    inference(avatar_component_clause,[],[f1907]) ).

fof(f13081,plain,
    ( spl2_244
    | ~ spl2_44
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1916,f1907,f836,f13079]) ).

fof(f13079,plain,
    ( spl2_244
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),X1)) = addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_244])]) ).

fof(f1916,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),X1)) = addition(X1,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))
    | ~ spl2_44
    | ~ spl2_64 ),
    inference(superposition,[],[f837,f1908]) ).

fof(f13077,plain,
    ( spl2_243
    | ~ spl2_42
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1915,f1907,f827,f13075]) ).

fof(f13075,plain,
    ( spl2_243
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),X1) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_243])]) ).

fof(f1915,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),X1) = addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),X1))
    | ~ spl2_42
    | ~ spl2_64 ),
    inference(superposition,[],[f828,f1908]) ).

fof(f13073,plain,
    ( spl2_242
    | ~ spl2_16
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1913,f1907,f176,f13071]) ).

fof(f13071,plain,
    ( spl2_242
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_242])]) ).

fof(f1913,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),X1))
    | ~ spl2_16
    | ~ spl2_64 ),
    inference(superposition,[],[f177,f1908]) ).

fof(f13068,plain,
    ( spl2_241
    | ~ spl2_21
    | ~ spl2_35 ),
    inference(avatar_split_clause,[],[f578,f541,f316,f13065]) ).

fof(f13065,plain,
    ( spl2_241
  <=> antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(one),antidomain(antidomain(antidomain(multiplication(sK0,divergence(one))))))))))) = addition(antidomain(antidomain(multiplication(sK0,divergence(one)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(one),antidomain(antidomain(antidomain(multiplication(sK0,divergence(one)))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_241])]) ).

fof(f578,plain,
    ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(one),antidomain(antidomain(antidomain(multiplication(sK0,divergence(one))))))))))) = addition(antidomain(antidomain(multiplication(sK0,divergence(one)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(one),antidomain(antidomain(antidomain(multiplication(sK0,divergence(one))))))))))))
    | ~ spl2_21
    | ~ spl2_35 ),
    inference(superposition,[],[f317,f543]) ).

fof(f12546,plain,
    ( spl2_240
    | ~ spl2_25
    | ~ spl2_225 ),
    inference(avatar_split_clause,[],[f11647,f11040,f404,f12543]) ).

fof(f12543,plain,
    ( spl2_240
  <=> zero = divergence(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_240])]) ).

fof(f11040,plain,
    ( spl2_225
  <=> ! [X0] : addition(X0,divergence(sK0)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_225])]) ).

fof(f11647,plain,
    ( zero = divergence(sK0)
    | ~ spl2_25
    | ~ spl2_225 ),
    inference(superposition,[],[f11041,f405]) ).

fof(f11041,plain,
    ( ! [X0] : addition(X0,divergence(sK0)) = X0
    | ~ spl2_225 ),
    inference(avatar_component_clause,[],[f11040]) ).

fof(f11759,plain,
    ( spl2_239
    | ~ spl2_9
    | ~ spl2_38
    | ~ spl2_76 ),
    inference(avatar_split_clause,[],[f2490,f2469,f604,f131,f11757]) ).

fof(f11757,plain,
    ( spl2_239
  <=> ! [X0] : zero = multiplication(multiplication(coantidomain(coantidomain(zero)),X0),coantidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_239])]) ).

fof(f2469,plain,
    ( spl2_76
  <=> ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(zero)),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_76])]) ).

fof(f2490,plain,
    ( ! [X0] : zero = multiplication(multiplication(coantidomain(coantidomain(zero)),X0),coantidomain(zero))
    | ~ spl2_9
    | ~ spl2_38
    | ~ spl2_76 ),
    inference(forward_demodulation,[],[f2480,f132]) ).

fof(f2480,plain,
    ( ! [X0] : multiplication(multiplication(coantidomain(coantidomain(zero)),X0),coantidomain(zero)) = multiplication(multiplication(coantidomain(coantidomain(zero)),X0),coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)))
    | ~ spl2_38
    | ~ spl2_76 ),
    inference(superposition,[],[f605,f2470]) ).

fof(f2470,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)))
    | ~ spl2_76 ),
    inference(avatar_component_clause,[],[f2469]) ).

fof(f11753,plain,
    ( spl2_238
    | ~ spl2_14
    | ~ spl2_26
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f2292,f2246,f1709,f537,f448,f413,f160,f11751]) ).

fof(f11751,plain,
    ( spl2_238
  <=> ! [X0] : one = addition(divergence(zero),antidomain(multiplication(X0,divergence(zero)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_238])]) ).

fof(f2292,plain,
    ( ! [X0] : one = addition(divergence(zero),antidomain(multiplication(X0,divergence(zero))))
    | ~ spl2_14
    | ~ spl2_26
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f2291,f1842]) ).

fof(f2291,plain,
    ( ! [X0] : addition(one,antidomain(multiplication(X0,divergence(zero)))) = addition(divergence(zero),antidomain(multiplication(X0,divergence(zero))))
    | ~ spl2_26
    | ~ spl2_54
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f2282,f415]) ).

fof(f2282,plain,
    ( ! [X0] : addition(one,antidomain(multiplication(X0,divergence(zero)))) = addition(antidomain(antidomain(zero)),antidomain(multiplication(X0,divergence(zero))))
    | ~ spl2_54
    | ~ spl2_70 ),
    inference(superposition,[],[f1710,f2247]) ).

fof(f11748,plain,
    ( spl2_237
    | ~ spl2_6
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f2280,f2246,f118,f11745]) ).

fof(f11745,plain,
    ( spl2_237
  <=> antidomain(divergence(zero)) = addition(antidomain(zero),antidomain(divergence(zero))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_237])]) ).

fof(f2280,plain,
    ( antidomain(divergence(zero)) = addition(antidomain(zero),antidomain(divergence(zero)))
    | ~ spl2_6
    | ~ spl2_70 ),
    inference(superposition,[],[f2247,f119]) ).

fof(f11743,plain,
    ( spl2_236
    | ~ spl2_12
    | ~ spl2_34
    | ~ spl2_44
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1891,f1713,f836,f537,f151,f11741]) ).

fof(f11741,plain,
    ( spl2_236
  <=> ! [X0,X1] : addition(X1,one) = addition(one,addition(coantidomain(X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_236])]) ).

fof(f1891,plain,
    ( ! [X0,X1] : addition(X1,one) = addition(one,addition(coantidomain(X0),X1))
    | ~ spl2_12
    | ~ spl2_34
    | ~ spl2_44
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f1866,f976]) ).

fof(f976,plain,
    ( ! [X0,X1] : addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1)) = addition(X1,one)
    | ~ spl2_12
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f152]) ).

fof(f1866,plain,
    ( ! [X0,X1] : addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1)) = addition(one,addition(coantidomain(X0),X1))
    | ~ spl2_34
    | ~ spl2_55 ),
    inference(superposition,[],[f1714,f538]) ).

fof(f11739,plain,
    ( spl2_235
    | ~ spl2_14
    | ~ spl2_34
    | ~ spl2_44
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1849,f1709,f836,f537,f160,f11737]) ).

fof(f11737,plain,
    ( spl2_235
  <=> ! [X0,X1] : addition(X1,one) = addition(one,addition(antidomain(X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_235])]) ).

fof(f1849,plain,
    ( ! [X0,X1] : addition(X1,one) = addition(one,addition(antidomain(X0),X1))
    | ~ spl2_14
    | ~ spl2_34
    | ~ spl2_44
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1813,f971]) ).

fof(f971,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)) = addition(X1,one)
    | ~ spl2_14
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f161]) ).

fof(f1813,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)) = addition(one,addition(antidomain(X0),X1))
    | ~ spl2_34
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f538]) ).

fof(f11735,plain,
    ( spl2_234
    | ~ spl2_2
    | ~ spl2_9
    | ~ spl2_15
    | ~ spl2_50
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f1679,f870,f862,f172,f131,f102,f11733]) ).

fof(f11733,plain,
    ( spl2_234
  <=> ! [X0,X1] : zero = multiplication(multiplication(addition(X0,one),X1),coantidomain(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_234])]) ).

fof(f1679,plain,
    ( ! [X0,X1] : zero = multiplication(multiplication(addition(X0,one),X1),coantidomain(X1))
    | ~ spl2_2
    | ~ spl2_9
    | ~ spl2_15
    | ~ spl2_50
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1678,f103]) ).

fof(f1678,plain,
    ( ! [X0,X1] : multiplication(X0,zero) = multiplication(multiplication(addition(X0,one),X1),coantidomain(X1))
    | ~ spl2_9
    | ~ spl2_15
    | ~ spl2_50
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1677,f132]) ).

fof(f1677,plain,
    ( ! [X0,X1] : multiplication(multiplication(addition(X0,one),X1),coantidomain(X1)) = multiplication(X0,multiplication(X1,coantidomain(X1)))
    | ~ spl2_15
    | ~ spl2_50
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1645,f173]) ).

fof(f1645,plain,
    ( ! [X0,X1] : multiplication(multiplication(X0,X1),coantidomain(X1)) = multiplication(multiplication(addition(X0,one),X1),coantidomain(X1))
    | ~ spl2_50
    | ~ spl2_52 ),
    inference(superposition,[],[f871,f863]) ).

fof(f11642,plain,
    ( spl2_233
    | ~ spl2_2
    | ~ spl2_9
    | ~ spl2_15
    | ~ spl2_49
    | ~ spl2_51 ),
    inference(avatar_split_clause,[],[f1608,f866,f856,f172,f131,f102,f11640]) ).

fof(f11640,plain,
    ( spl2_233
  <=> ! [X0,X1] : zero = multiplication(multiplication(addition(one,X1),X0),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_233])]) ).

fof(f1608,plain,
    ( ! [X0,X1] : zero = multiplication(multiplication(addition(one,X1),X0),coantidomain(X0))
    | ~ spl2_2
    | ~ spl2_9
    | ~ spl2_15
    | ~ spl2_49
    | ~ spl2_51 ),
    inference(forward_demodulation,[],[f1607,f103]) ).

fof(f1607,plain,
    ( ! [X0,X1] : multiplication(X1,zero) = multiplication(multiplication(addition(one,X1),X0),coantidomain(X0))
    | ~ spl2_9
    | ~ spl2_15
    | ~ spl2_49
    | ~ spl2_51 ),
    inference(forward_demodulation,[],[f1606,f132]) ).

fof(f1606,plain,
    ( ! [X0,X1] : multiplication(multiplication(addition(one,X1),X0),coantidomain(X0)) = multiplication(X1,multiplication(X0,coantidomain(X0)))
    | ~ spl2_15
    | ~ spl2_49
    | ~ spl2_51 ),
    inference(forward_demodulation,[],[f1575,f173]) ).

fof(f1575,plain,
    ( ! [X0,X1] : multiplication(multiplication(X1,X0),coantidomain(X0)) = multiplication(multiplication(addition(one,X1),X0),coantidomain(X0))
    | ~ spl2_49
    | ~ spl2_51 ),
    inference(superposition,[],[f867,f857]) ).

fof(f11638,plain,
    ( spl2_232
    | ~ spl2_2
    | ~ spl2_10
    | ~ spl2_15
    | ~ spl2_40
    | ~ spl2_50 ),
    inference(avatar_split_clause,[],[f1568,f862,f612,f172,f135,f102,f11636]) ).

fof(f11636,plain,
    ( spl2_232
  <=> ! [X0,X1] : zero = multiplication(multiplication(addition(X0,one),antidomain(X1)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_232])]) ).

fof(f1568,plain,
    ( ! [X0,X1] : zero = multiplication(multiplication(addition(X0,one),antidomain(X1)),X1)
    | ~ spl2_2
    | ~ spl2_10
    | ~ spl2_15
    | ~ spl2_40
    | ~ spl2_50 ),
    inference(forward_demodulation,[],[f1567,f103]) ).

fof(f1567,plain,
    ( ! [X0,X1] : multiplication(X0,zero) = multiplication(multiplication(addition(X0,one),antidomain(X1)),X1)
    | ~ spl2_10
    | ~ spl2_15
    | ~ spl2_40
    | ~ spl2_50 ),
    inference(forward_demodulation,[],[f1566,f136]) ).

fof(f1566,plain,
    ( ! [X0,X1] : multiplication(multiplication(addition(X0,one),antidomain(X1)),X1) = multiplication(X0,multiplication(antidomain(X1),X1))
    | ~ spl2_15
    | ~ spl2_40
    | ~ spl2_50 ),
    inference(forward_demodulation,[],[f1509,f173]) ).

fof(f1509,plain,
    ( ! [X0,X1] : multiplication(multiplication(X0,antidomain(X1)),X1) = multiplication(multiplication(addition(X0,one),antidomain(X1)),X1)
    | ~ spl2_40
    | ~ spl2_50 ),
    inference(superposition,[],[f613,f863]) ).

fof(f11634,plain,
    ( spl2_231
    | ~ spl2_2
    | ~ spl2_10
    | ~ spl2_15
    | ~ spl2_39
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f1441,f856,f608,f172,f135,f102,f11632]) ).

fof(f11632,plain,
    ( spl2_231
  <=> ! [X0,X1] : zero = multiplication(multiplication(addition(one,X1),antidomain(X0)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_231])]) ).

fof(f1441,plain,
    ( ! [X0,X1] : zero = multiplication(multiplication(addition(one,X1),antidomain(X0)),X0)
    | ~ spl2_2
    | ~ spl2_10
    | ~ spl2_15
    | ~ spl2_39
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f1440,f103]) ).

fof(f1440,plain,
    ( ! [X0,X1] : multiplication(X1,zero) = multiplication(multiplication(addition(one,X1),antidomain(X0)),X0)
    | ~ spl2_10
    | ~ spl2_15
    | ~ spl2_39
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f1439,f136]) ).

fof(f1439,plain,
    ( ! [X0,X1] : multiplication(multiplication(addition(one,X1),antidomain(X0)),X0) = multiplication(X1,multiplication(antidomain(X0),X0))
    | ~ spl2_15
    | ~ spl2_39
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f1414,f173]) ).

fof(f1414,plain,
    ( ! [X0,X1] : multiplication(multiplication(X1,antidomain(X0)),X0) = multiplication(multiplication(addition(one,X1),antidomain(X0)),X0)
    | ~ spl2_39
    | ~ spl2_49 ),
    inference(superposition,[],[f609,f857]) ).

fof(f11630,plain,
    ( spl2_230
    | ~ spl2_5
    | ~ spl2_31
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1105,f840,f457,f114,f11628]) ).

fof(f11628,plain,
    ( spl2_230
  <=> ! [X0,X1] : multiplication(X0,addition(one,multiplication(coantidomain(X0),X1))) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_230])]) ).

fof(f457,plain,
    ( spl2_31
  <=> ! [X0,X1] : zero = multiplication(X0,multiplication(coantidomain(X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f1105,plain,
    ( ! [X0,X1] : multiplication(X0,addition(one,multiplication(coantidomain(X0),X1))) = X0
    | ~ spl2_5
    | ~ spl2_31
    | ~ spl2_45 ),
    inference(forward_demodulation,[],[f1060,f115]) ).

fof(f1060,plain,
    ( ! [X0,X1] : addition(X0,zero) = multiplication(X0,addition(one,multiplication(coantidomain(X0),X1)))
    | ~ spl2_31
    | ~ spl2_45 ),
    inference(superposition,[],[f841,f458]) ).

fof(f458,plain,
    ( ! [X0,X1] : zero = multiplication(X0,multiplication(coantidomain(X0),X1))
    | ~ spl2_31 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f11626,plain,
    ( spl2_229
    | ~ spl2_32
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1080,f840,f461,f11624]) ).

fof(f11624,plain,
    ( spl2_229
  <=> ! [X0,X1] : zero = multiplication(antidomain(X0),addition(X0,multiplication(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_229])]) ).

fof(f1080,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(X0),addition(X0,multiplication(X0,X1)))
    | ~ spl2_32
    | ~ spl2_45 ),
    inference(superposition,[],[f462,f841]) ).

fof(f11621,plain,
    ( spl2_228
    | ~ spl2_10
    | ~ spl2_35 ),
    inference(avatar_split_clause,[],[f587,f541,f135,f11618]) ).

fof(f11618,plain,
    ( spl2_228
  <=> zero = multiplication(divergence(one),antidomain(antidomain(antidomain(divergence(one))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_228])]) ).

fof(f587,plain,
    ( zero = multiplication(divergence(one),antidomain(antidomain(antidomain(divergence(one)))))
    | ~ spl2_10
    | ~ spl2_35 ),
    inference(superposition,[],[f136,f543]) ).

fof(f11615,plain,
    ( spl2_227
    | ~ spl2_14
    | ~ spl2_35 ),
    inference(avatar_split_clause,[],[f586,f541,f160,f11612]) ).

fof(f11612,plain,
    ( spl2_227
  <=> one = addition(divergence(one),antidomain(antidomain(antidomain(divergence(one))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_227])]) ).

fof(f586,plain,
    ( one = addition(divergence(one),antidomain(antidomain(antidomain(divergence(one)))))
    | ~ spl2_14
    | ~ spl2_35 ),
    inference(superposition,[],[f161,f543]) ).

fof(f11609,plain,
    ( spl2_226
    | ~ spl2_29
    | ~ spl2_35 ),
    inference(avatar_split_clause,[],[f581,f541,f448,f11606]) ).

fof(f11606,plain,
    ( spl2_226
  <=> one = addition(antidomain(antidomain(antidomain(divergence(one)))),divergence(one)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_226])]) ).

fof(f581,plain,
    ( one = addition(antidomain(antidomain(antidomain(divergence(one)))),divergence(one))
    | ~ spl2_29
    | ~ spl2_35 ),
    inference(superposition,[],[f449,f543]) ).

fof(f11042,plain,
    ( spl2_225
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_25
    | ~ spl2_26
    | ~ spl2_136
    | ~ spl2_173
    | ~ spl2_213 ),
    inference(avatar_split_clause,[],[f10153,f9726,f7083,f5316,f413,f404,f110,f102,f11040]) ).

fof(f5316,plain,
    ( spl2_136
  <=> ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0) = addition(divergence(sK0),addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_136])]) ).

fof(f9726,plain,
    ( spl2_213
  <=> ! [X0,X1] : addition(X1,X0) = addition(zero,addition(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_213])]) ).

fof(f10153,plain,
    ( ! [X0] : addition(X0,divergence(sK0)) = X0
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_25
    | ~ spl2_26
    | ~ spl2_136
    | ~ spl2_173
    | ~ spl2_213 ),
    inference(forward_demodulation,[],[f10152,f405]) ).

fof(f10152,plain,
    ( ! [X0] : addition(zero,X0) = addition(addition(zero,X0),divergence(sK0))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_25
    | ~ spl2_26
    | ~ spl2_136
    | ~ spl2_173
    | ~ spl2_213 ),
    inference(forward_demodulation,[],[f10151,f7087]) ).

fof(f10151,plain,
    ( ! [X0] : addition(divergence(zero),X0) = addition(addition(divergence(zero),X0),divergence(sK0))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_25
    | ~ spl2_26
    | ~ spl2_136
    | ~ spl2_173
    | ~ spl2_213 ),
    inference(forward_demodulation,[],[f10150,f415]) ).

fof(f10150,plain,
    ( ! [X0] : addition(antidomain(antidomain(zero)),X0) = addition(addition(antidomain(antidomain(zero)),X0),divergence(sK0))
    | ~ spl2_2
    | ~ spl2_4
    | ~ spl2_25
    | ~ spl2_136
    | ~ spl2_173
    | ~ spl2_213 ),
    inference(forward_demodulation,[],[f10149,f103]) ).

fof(f10149,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),zero))),X0) = addition(addition(antidomain(antidomain(multiplication(star(sK0),zero))),X0),divergence(sK0))
    | ~ spl2_4
    | ~ spl2_25
    | ~ spl2_136
    | ~ spl2_173
    | ~ spl2_213 ),
    inference(forward_demodulation,[],[f10148,f7087]) ).

fof(f10148,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0) = addition(addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0),divergence(sK0))
    | ~ spl2_25
    | ~ spl2_136
    | ~ spl2_213 ),
    inference(forward_demodulation,[],[f10028,f405]) ).

fof(f10028,plain,
    ( ! [X0] : addition(addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0),divergence(sK0)) = addition(zero,addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0))
    | ~ spl2_136
    | ~ spl2_213 ),
    inference(superposition,[],[f9727,f5317]) ).

fof(f5317,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0) = addition(divergence(sK0),addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0))
    | ~ spl2_136 ),
    inference(avatar_component_clause,[],[f5316]) ).

fof(f9727,plain,
    ( ! [X0,X1] : addition(X1,X0) = addition(zero,addition(X0,X1))
    | ~ spl2_213 ),
    inference(avatar_component_clause,[],[f9726]) ).

fof(f9801,plain,
    ( spl2_224
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_78 ),
    inference(avatar_split_clause,[],[f2570,f2500,f118,f110,f9799]) ).

fof(f9799,plain,
    ( spl2_224
  <=> ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,divergence(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_224])]) ).

fof(f2570,plain,
    ( ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,divergence(X0))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_78 ),
    inference(forward_demodulation,[],[f2514,f119]) ).

fof(f2514,plain,
    ( ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,multiplication(one,divergence(X0)))))
    | ~ spl2_4
    | ~ spl2_78 ),
    inference(superposition,[],[f2501,f111]) ).

fof(f9795,plain,
    ( spl2_223
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_70 ),
    inference(avatar_split_clause,[],[f2293,f2246,f612,f135,f9793]) ).

fof(f9793,plain,
    ( spl2_223
  <=> ! [X0] : zero = multiplication(antidomain(zero),multiplication(X0,divergence(zero))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_223])]) ).

fof(f2293,plain,
    ( ! [X0] : zero = multiplication(antidomain(zero),multiplication(X0,divergence(zero)))
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_70 ),
    inference(forward_demodulation,[],[f2283,f136]) ).

fof(f2283,plain,
    ( ! [X0] : multiplication(antidomain(zero),multiplication(X0,divergence(zero))) = multiplication(antidomain(multiplication(X0,divergence(zero))),multiplication(X0,divergence(zero)))
    | ~ spl2_40
    | ~ spl2_70 ),
    inference(superposition,[],[f613,f2247]) ).

fof(f9764,plain,
    ( spl2_222
    | ~ spl2_9
    | ~ spl2_38
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f2273,f2242,f604,f131,f9762]) ).

fof(f9762,plain,
    ( spl2_222
  <=> ! [X0] : zero = multiplication(multiplication(coantidomain(zero),X0),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_222])]) ).

fof(f2273,plain,
    ( ! [X0] : zero = multiplication(multiplication(coantidomain(zero),X0),coantidomain(X0))
    | ~ spl2_9
    | ~ spl2_38
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f2262,f132]) ).

fof(f2262,plain,
    ( ! [X0] : multiplication(multiplication(coantidomain(zero),X0),coantidomain(X0)) = multiplication(multiplication(coantidomain(zero),X0),coantidomain(multiplication(coantidomain(zero),X0)))
    | ~ spl2_38
    | ~ spl2_69 ),
    inference(superposition,[],[f605,f2243]) ).

fof(f9760,plain,
    ( spl2_221
    | ~ spl2_6
    | ~ spl2_65 ),
    inference(avatar_split_clause,[],[f2101,f1928,f118,f9758]) ).

fof(f9758,plain,
    ( spl2_221
  <=> ! [X0,X1] : addition(X1,X0) = multiplication(one,addition(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_221])]) ).

fof(f2101,plain,
    ( ! [X0,X1] : addition(X1,X0) = multiplication(one,addition(X0,X1))
    | ~ spl2_6
    | ~ spl2_65 ),
    inference(forward_demodulation,[],[f2036,f119]) ).

fof(f2036,plain,
    ( ! [X0,X1] : multiplication(one,addition(X0,X1)) = addition(multiplication(one,X1),X0)
    | ~ spl2_6
    | ~ spl2_65 ),
    inference(superposition,[],[f1929,f119]) ).

fof(f9756,plain,
    ( spl2_220
    | ~ spl2_4
    | ~ spl2_28
    | ~ spl2_34
    | ~ spl2_44
    | ~ spl2_46
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f1704,f870,f844,f836,f537,f444,f110,f9754]) ).

fof(f9754,plain,
    ( spl2_220
  <=> ! [X0,X1] : addition(X1,X0) = multiplication(addition(X0,X1),one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_220])]) ).

fof(f1704,plain,
    ( ! [X0,X1] : addition(X1,X0) = multiplication(addition(X0,X1),one)
    | ~ spl2_4
    | ~ spl2_28
    | ~ spl2_34
    | ~ spl2_44
    | ~ spl2_46
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1703,f111]) ).

fof(f1703,plain,
    ( ! [X0,X1] : multiplication(addition(X0,X1),one) = addition(X1,multiplication(X0,one))
    | ~ spl2_28
    | ~ spl2_34
    | ~ spl2_44
    | ~ spl2_46
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1702,f569]) ).

fof(f1702,plain,
    ( ! [X0,X1] : multiplication(addition(X0,X1),addition(coantidomain(X1),one)) = addition(X1,multiplication(X0,addition(coantidomain(X1),one)))
    | ~ spl2_44
    | ~ spl2_46
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1669,f1170]) ).

fof(f1170,plain,
    ( ! [X2,X0,X1] : addition(multiplication(X0,X1),addition(X0,X2)) = addition(X2,multiplication(X0,addition(X1,one)))
    | ~ spl2_44
    | ~ spl2_46 ),
    inference(superposition,[],[f837,f845]) ).

fof(f1669,plain,
    ( ! [X0,X1] : multiplication(addition(X0,X1),addition(coantidomain(X1),one)) = addition(multiplication(X0,coantidomain(X1)),addition(X0,X1))
    | ~ spl2_46
    | ~ spl2_52 ),
    inference(superposition,[],[f845,f871]) ).

fof(f9752,plain,
    ( spl2_219
    | ~ spl2_9
    | ~ spl2_25
    | ~ spl2_50 ),
    inference(avatar_split_clause,[],[f1521,f862,f404,f131,f9750]) ).

fof(f9750,plain,
    ( spl2_219
  <=> ! [X0] : coantidomain(X0) = multiplication(addition(X0,one),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_219])]) ).

fof(f1521,plain,
    ( ! [X0] : coantidomain(X0) = multiplication(addition(X0,one),coantidomain(X0))
    | ~ spl2_9
    | ~ spl2_25
    | ~ spl2_50 ),
    inference(forward_demodulation,[],[f1462,f405]) ).

fof(f1462,plain,
    ( ! [X0] : addition(zero,coantidomain(X0)) = multiplication(addition(X0,one),coantidomain(X0))
    | ~ spl2_9
    | ~ spl2_50 ),
    inference(superposition,[],[f863,f132]) ).

fof(f9748,plain,
    ( spl2_218
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f1426,f856,f131,f114,f9746]) ).

fof(f9746,plain,
    ( spl2_218
  <=> ! [X0] : coantidomain(X0) = multiplication(addition(one,X0),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_218])]) ).

fof(f1426,plain,
    ( ! [X0] : coantidomain(X0) = multiplication(addition(one,X0),coantidomain(X0))
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f1373,f115]) ).

fof(f1373,plain,
    ( ! [X0] : addition(coantidomain(X0),zero) = multiplication(addition(one,X0),coantidomain(X0))
    | ~ spl2_9
    | ~ spl2_49 ),
    inference(superposition,[],[f857,f132]) ).

fof(f9744,plain,
    ( spl2_217
    | ~ spl2_10
    | ~ spl2_25
    | ~ spl2_46 ),
    inference(avatar_split_clause,[],[f1204,f844,f404,f135,f9742]) ).

fof(f9742,plain,
    ( spl2_217
  <=> ! [X0] : antidomain(X0) = multiplication(antidomain(X0),addition(X0,one)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_217])]) ).

fof(f1204,plain,
    ( ! [X0] : antidomain(X0) = multiplication(antidomain(X0),addition(X0,one))
    | ~ spl2_10
    | ~ spl2_25
    | ~ spl2_46 ),
    inference(forward_demodulation,[],[f1143,f405]) ).

fof(f1143,plain,
    ( ! [X0] : addition(zero,antidomain(X0)) = multiplication(antidomain(X0),addition(X0,one))
    | ~ spl2_10
    | ~ spl2_46 ),
    inference(superposition,[],[f845,f136]) ).

fof(f9740,plain,
    ( spl2_216
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1111,f840,f135,f114,f9738]) ).

fof(f9738,plain,
    ( spl2_216
  <=> ! [X0] : antidomain(X0) = multiplication(antidomain(X0),addition(one,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_216])]) ).

fof(f1111,plain,
    ( ! [X0] : antidomain(X0) = multiplication(antidomain(X0),addition(one,X0))
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_45 ),
    inference(forward_demodulation,[],[f1067,f115]) ).

fof(f1067,plain,
    ( ! [X0] : addition(antidomain(X0),zero) = multiplication(antidomain(X0),addition(one,X0))
    | ~ spl2_10
    | ~ spl2_45 ),
    inference(superposition,[],[f841,f136]) ).

fof(f9736,plain,
    ( spl2_215
    | ~ spl2_7
    | ~ spl2_11
    | ~ spl2_16
    | ~ spl2_34
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f1018,f836,f537,f176,f143,f122,f9734]) ).

fof(f9734,plain,
    ( spl2_215
  <=> ! [X0,X1] : addition(X0,X1) = addition(X1,addition(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_215])]) ).

fof(f1018,plain,
    ( ! [X0,X1] : addition(X0,X1) = addition(X1,addition(X1,X0))
    | ~ spl2_7
    | ~ spl2_11
    | ~ spl2_16
    | ~ spl2_34
    | ~ spl2_44 ),
    inference(forward_demodulation,[],[f1017,f551]) ).

fof(f551,plain,
    ( ! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,X0))
    | ~ spl2_11
    | ~ spl2_34 ),
    inference(superposition,[],[f538,f144]) ).

fof(f1017,plain,
    ( ! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,addition(X1,X0)))
    | ~ spl2_7
    | ~ spl2_16
    | ~ spl2_44 ),
    inference(forward_demodulation,[],[f949,f177]) ).

fof(f949,plain,
    ( ! [X0,X1] : addition(X0,X1) = addition(X1,addition(addition(X0,X1),X0))
    | ~ spl2_7
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f123]) ).

fof(f9732,plain,
    ( spl2_214
    | ~ spl2_34
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f979,f836,f537,f9730]) ).

fof(f9730,plain,
    ( spl2_214
  <=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_214])]) ).

fof(f979,plain,
    ( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,X0))
    | ~ spl2_34
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f538]) ).

fof(f9728,plain,
    ( spl2_213
    | ~ spl2_25
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f965,f836,f404,f9726]) ).

fof(f965,plain,
    ( ! [X0,X1] : addition(X1,X0) = addition(zero,addition(X0,X1))
    | ~ spl2_25
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f405]) ).

fof(f9537,plain,
    ( spl2_212
    | ~ spl2_11
    | ~ spl2_34 ),
    inference(avatar_split_clause,[],[f551,f537,f143,f9535]) ).

fof(f9535,plain,
    ( spl2_212
  <=> ! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_212])]) ).

fof(f9530,plain,
    ( spl2_211
    | ~ spl2_26
    | ~ spl2_32 ),
    inference(avatar_split_clause,[],[f506,f461,f413,f9528]) ).

fof(f9528,plain,
    ( spl2_211
  <=> ! [X0] : zero = multiplication(divergence(zero),multiplication(antidomain(zero),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_211])]) ).

fof(f506,plain,
    ( ! [X0] : zero = multiplication(divergence(zero),multiplication(antidomain(zero),X0))
    | ~ spl2_26
    | ~ spl2_32 ),
    inference(superposition,[],[f462,f415]) ).

fof(f9503,plain,
    ( spl2_210
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_117 ),
    inference(avatar_split_clause,[],[f4604,f4529,f848,f608,f448,f430,f160,f118,f110,f9501]) ).

fof(f9501,plain,
    ( spl2_210
  <=> ! [X0] : addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_210])]) ).

fof(f4529,plain,
    ( spl2_117
  <=> ! [X2,X0,X1] :
        ( addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(X2)))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(X2)))))))
        | addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))) != addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_117])]) ).

fof(f4604,plain,
    ( ! [X0] : addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_117 ),
    inference(forward_demodulation,[],[f4572,f1270]) ).

fof(f4572,plain,
    ( ! [X0] : addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))))
    | ~ spl2_27
    | ~ spl2_117 ),
    inference(trivial_inequality_removal,[],[f4565]) ).

fof(f4565,plain,
    ( ! [X0] :
        ( addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(multiplication(X0,antidomain(antidomain(sK1)))))) != addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(multiplication(X0,antidomain(antidomain(sK1))))))
        | addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))) = addition(antidomain(antidomain(sK1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))))) )
    | ~ spl2_27
    | ~ spl2_117 ),
    inference(superposition,[],[f4530,f431]) ).

fof(f4530,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))) != addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))))
        | addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(X2)))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(X2))))))) )
    | ~ spl2_117 ),
    inference(avatar_component_clause,[],[f4529]) ).

fof(f9499,plain,
    ( ~ spl2_209
    | ~ spl2_4
    | ~ spl2_5
    | ~ spl2_6
    | ~ spl2_144
    | ~ spl2_177
    | spl2_206 ),
    inference(avatar_split_clause,[],[f9489,f9476,f7246,f5627,f118,f114,f110,f9496]) ).

fof(f9496,plain,
    ( spl2_209
  <=> one = antidomain(antidomain(multiplication(star(sK0),antidomain(sK0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_209])]) ).

fof(f7246,plain,
    ( spl2_177
  <=> ! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_177])]) ).

fof(f9476,plain,
    ( spl2_206
  <=> one = antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_206])]) ).

fof(f9489,plain,
    ( one != antidomain(antidomain(multiplication(star(sK0),antidomain(sK0))))
    | ~ spl2_4
    | ~ spl2_5
    | ~ spl2_6
    | ~ spl2_144
    | ~ spl2_177
    | spl2_206 ),
    inference(forward_demodulation,[],[f9488,f111]) ).

fof(f9488,plain,
    ( one != antidomain(antidomain(multiplication(star(sK0),antidomain(multiplication(sK0,one)))))
    | ~ spl2_5
    | ~ spl2_6
    | ~ spl2_144
    | ~ spl2_177
    | spl2_206 ),
    inference(forward_demodulation,[],[f9487,f7247]) ).

fof(f7247,plain,
    ( ! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0)))
    | ~ spl2_177 ),
    inference(avatar_component_clause,[],[f7246]) ).

fof(f9487,plain,
    ( one != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(multiplication(sK0,one)))))))
    | ~ spl2_5
    | ~ spl2_6
    | ~ spl2_144
    | spl2_206 ),
    inference(forward_demodulation,[],[f9486,f119]) ).

fof(f9486,plain,
    ( one != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(one,antidomain(multiplication(sK0,one))))))))
    | ~ spl2_5
    | ~ spl2_144
    | spl2_206 ),
    inference(forward_demodulation,[],[f9478,f5810]) ).

fof(f9478,plain,
    ( one != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero)))))))))
    | spl2_206 ),
    inference(avatar_component_clause,[],[f9476]) ).

fof(f9494,plain,
    ( ~ spl2_208
    | ~ spl2_44
    | ~ spl2_147
    | ~ spl2_149
    | spl2_207 ),
    inference(avatar_split_clause,[],[f9485,f9480,f5650,f5642,f836,f9491]) ).

fof(f9491,plain,
    ( spl2_208
  <=> one = addition(divergence(sK0),antidomain(antidomain(star(sK0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_208])]) ).

fof(f5642,plain,
    ( spl2_147
  <=> ! [X0] : one = addition(antidomain(X0),one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_147])]) ).

fof(f5650,plain,
    ( spl2_149
  <=> ! [X0] : one = addition(divergence(X0),one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_149])]) ).

fof(f9480,plain,
    ( spl2_207
  <=> addition(divergence(sK0),antidomain(antidomain(star(sK0)))) = addition(one,addition(divergence(sK0),antidomain(antidomain(star(sK0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_207])]) ).

fof(f9485,plain,
    ( one != addition(divergence(sK0),antidomain(antidomain(star(sK0))))
    | ~ spl2_44
    | ~ spl2_147
    | ~ spl2_149
    | spl2_207 ),
    inference(forward_demodulation,[],[f9484,f5651]) ).

fof(f5651,plain,
    ( ! [X0] : one = addition(divergence(X0),one)
    | ~ spl2_149 ),
    inference(avatar_component_clause,[],[f5650]) ).

fof(f9484,plain,
    ( addition(divergence(sK0),one) != addition(divergence(sK0),antidomain(antidomain(star(sK0))))
    | ~ spl2_44
    | ~ spl2_147
    | spl2_207 ),
    inference(forward_demodulation,[],[f9481,f5921]) ).

fof(f5921,plain,
    ( ! [X0,X1] : addition(X1,one) = addition(one,addition(X1,antidomain(X0)))
    | ~ spl2_44
    | ~ spl2_147 ),
    inference(superposition,[],[f837,f5643]) ).

fof(f5643,plain,
    ( ! [X0] : one = addition(antidomain(X0),one)
    | ~ spl2_147 ),
    inference(avatar_component_clause,[],[f5642]) ).

fof(f9481,plain,
    ( addition(divergence(sK0),antidomain(antidomain(star(sK0)))) != addition(one,addition(divergence(sK0),antidomain(antidomain(star(sK0)))))
    | spl2_207 ),
    inference(avatar_component_clause,[],[f9480]) ).

fof(f9483,plain,
    ( ~ spl2_206
    | spl2_207
    | ~ spl2_4
    | ~ spl2_14
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_101 ),
    inference(avatar_split_clause,[],[f4215,f4199,f1709,f537,f448,f404,f233,f160,f110,f9480,f9476]) ).

fof(f4199,plain,
    ( spl2_101
  <=> ! [X0] :
        ( addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))))))
        | antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_101])]) ).

fof(f4215,plain,
    ( addition(divergence(sK0),antidomain(antidomain(star(sK0)))) = addition(one,addition(divergence(sK0),antidomain(antidomain(star(sK0)))))
    | one != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero)))))))))
    | ~ spl2_4
    | ~ spl2_14
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f4214,f111]) ).

fof(f4214,plain,
    ( addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),one)))) = addition(one,addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),one)))))
    | one != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero)))))))))
    | ~ spl2_14
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f4213,f1836]) ).

fof(f1836,plain,
    ( ! [X0] : addition(one,X0) = addition(antidomain(zero),X0)
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1801,f405]) ).

fof(f1801,plain,
    ( ! [X0] : addition(one,X0) = addition(antidomain(zero),addition(zero,X0))
    | ~ spl2_19
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f235]) ).

fof(f4213,plain,
    ( one != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero)))))))))
    | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),one)))) = addition(antidomain(zero),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),one)))))
    | ~ spl2_14
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_101 ),
    inference(inner_rewriting,[],[f4212]) ).

fof(f4212,plain,
    ( one != antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero)))))))))
    | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))))))) = addition(antidomain(zero),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))))))))
    | ~ spl2_14
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f4211,f1842]) ).

fof(f4211,plain,
    ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))) != addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))))
    | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))))))) = addition(antidomain(zero),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))))))))
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_54
    | ~ spl2_101 ),
    inference(forward_demodulation,[],[f4206,f1836]) ).

fof(f4206,plain,
    ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))) != addition(antidomain(zero),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))))
    | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))))))) = addition(antidomain(zero),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(zero),antidomain(multiplication(sK0,antidomain(zero))))))))))))))
    | ~ spl2_19
    | ~ spl2_101 ),
    inference(superposition,[],[f4200,f235]) ).

fof(f4200,plain,
    ( ! [X0] :
        ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))
        | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))))))) )
    | ~ spl2_101 ),
    inference(avatar_component_clause,[],[f4199]) ).

fof(f9326,plain,
    ( spl2_205
    | ~ spl2_177
    | ~ spl2_204 ),
    inference(avatar_split_clause,[],[f9322,f9318,f7246,f9324]) ).

fof(f9324,plain,
    ( spl2_205
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_205])]) ).

fof(f9318,plain,
    ( spl2_204
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_204])]) ).

fof(f9322,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))
    | ~ spl2_177
    | ~ spl2_204 ),
    inference(forward_demodulation,[],[f9321,f7247]) ).

fof(f9321,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))
    | ~ spl2_177
    | ~ spl2_204 ),
    inference(forward_demodulation,[],[f9319,f7247]) ).

fof(f9319,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))
    | ~ spl2_204 ),
    inference(avatar_component_clause,[],[f9318]) ).

fof(f9320,plain,
    ( spl2_204
    | ~ spl2_10
    | ~ spl2_21
    | ~ spl2_40 ),
    inference(avatar_split_clause,[],[f815,f612,f316,f135,f9318]) ).

fof(f815,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))
    | ~ spl2_10
    | ~ spl2_21
    | ~ spl2_40 ),
    inference(forward_demodulation,[],[f792,f136]) ).

fof(f792,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) = multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))
    | ~ spl2_21
    | ~ spl2_40 ),
    inference(superposition,[],[f613,f317]) ).

fof(f8617,plain,
    ( spl2_203
    | ~ spl2_13
    | ~ spl2_25
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1886,f1713,f404,f155,f8615]) ).

fof(f8615,plain,
    ( spl2_203
  <=> ! [X0] : addition(one,X0) = addition(coantidomain(zero),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_203])]) ).

fof(f155,plain,
    ( spl2_13
  <=> zero = coantidomain(one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f1886,plain,
    ( ! [X0] : addition(one,X0) = addition(coantidomain(zero),X0)
    | ~ spl2_13
    | ~ spl2_25
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f1858,f405]) ).

fof(f1858,plain,
    ( ! [X0] : addition(one,X0) = addition(coantidomain(zero),addition(zero,X0))
    | ~ spl2_13
    | ~ spl2_55 ),
    inference(superposition,[],[f1714,f157]) ).

fof(f157,plain,
    ( zero = coantidomain(one)
    | ~ spl2_13 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f8613,plain,
    ( spl2_202
    | ~ spl2_19
    | ~ spl2_25
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1836,f1709,f404,f233,f8611]) ).

fof(f8611,plain,
    ( spl2_202
  <=> ! [X0] : addition(one,X0) = addition(antidomain(zero),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_202])]) ).

fof(f8486,plain,
    ( spl2_201
    | ~ spl2_9
    | ~ spl2_34
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f1672,f870,f537,f131,f8484]) ).

fof(f8484,plain,
    ( spl2_201
  <=> ! [X0,X1] : zero = multiplication(X0,coantidomain(addition(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_201])]) ).

fof(f1672,plain,
    ( ! [X0,X1] : zero = multiplication(X0,coantidomain(addition(X0,X1)))
    | ~ spl2_9
    | ~ spl2_34
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1634,f132]) ).

fof(f1634,plain,
    ( ! [X0,X1] : multiplication(X0,coantidomain(addition(X0,X1))) = multiplication(addition(X0,X1),coantidomain(addition(X0,X1)))
    | ~ spl2_34
    | ~ spl2_52 ),
    inference(superposition,[],[f871,f538]) ).

fof(f8481,plain,
    ( spl2_200
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f1432,f856,f135,f114,f8479]) ).

fof(f8479,plain,
    ( spl2_200
  <=> ! [X0] : multiplication(addition(one,antidomain(X0)),X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_200])]) ).

fof(f1432,plain,
    ( ! [X0] : multiplication(addition(one,antidomain(X0)),X0) = X0
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f1380,f115]) ).

fof(f1380,plain,
    ( ! [X0] : addition(X0,zero) = multiplication(addition(one,antidomain(X0)),X0)
    | ~ spl2_10
    | ~ spl2_49 ),
    inference(superposition,[],[f857,f136]) ).

fof(f8477,plain,
    ( spl2_199
    | ~ spl2_10
    | ~ spl2_34
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f1327,f852,f537,f135,f8475]) ).

fof(f8475,plain,
    ( spl2_199
  <=> ! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_199])]) ).

fof(f1327,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(addition(X0,X1)),X0)
    | ~ spl2_10
    | ~ spl2_34
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1291,f136]) ).

fof(f1291,plain,
    ( ! [X0,X1] : multiplication(antidomain(addition(X0,X1)),X0) = multiplication(antidomain(addition(X0,X1)),addition(X0,X1))
    | ~ spl2_34
    | ~ spl2_48 ),
    inference(superposition,[],[f853,f538]) ).

fof(f8472,plain,
    ( spl2_198
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1109,f840,f131,f114,f8470]) ).

fof(f8470,plain,
    ( spl2_198
  <=> ! [X0] : multiplication(X0,addition(one,coantidomain(X0))) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_198])]) ).

fof(f1109,plain,
    ( ! [X0] : multiplication(X0,addition(one,coantidomain(X0))) = X0
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_45 ),
    inference(forward_demodulation,[],[f1063,f115]) ).

fof(f1063,plain,
    ( ! [X0] : addition(X0,zero) = multiplication(X0,addition(one,coantidomain(X0)))
    | ~ spl2_9
    | ~ spl2_45 ),
    inference(superposition,[],[f841,f132]) ).

fof(f8468,plain,
    ( spl2_197
    | ~ spl2_6
    | ~ spl2_33
    | ~ spl2_39 ),
    inference(avatar_split_clause,[],[f772,f608,f465,f118,f8466]) ).

fof(f8466,plain,
    ( spl2_197
  <=> ! [X0] : divergence(X0) = multiplication(divergence(X0),divergence(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_197])]) ).

fof(f772,plain,
    ( ! [X0] : divergence(X0) = multiplication(divergence(X0),divergence(X0))
    | ~ spl2_6
    | ~ spl2_33
    | ~ spl2_39 ),
    inference(forward_demodulation,[],[f749,f119]) ).

fof(f749,plain,
    ( ! [X0] : multiplication(divergence(X0),divergence(X0)) = multiplication(one,divergence(X0))
    | ~ spl2_33
    | ~ spl2_39 ),
    inference(superposition,[],[f609,f466]) ).

fof(f8464,plain,
    ( spl2_196
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_39 ),
    inference(avatar_split_clause,[],[f770,f608,f160,f118,f8462]) ).

fof(f8462,plain,
    ( spl2_196
  <=> ! [X0] : antidomain(X0) = multiplication(antidomain(X0),antidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_196])]) ).

fof(f770,plain,
    ( ! [X0] : antidomain(X0) = multiplication(antidomain(X0),antidomain(X0))
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_39 ),
    inference(forward_demodulation,[],[f747,f119]) ).

fof(f747,plain,
    ( ! [X0] : multiplication(antidomain(X0),antidomain(X0)) = multiplication(one,antidomain(X0))
    | ~ spl2_14
    | ~ spl2_39 ),
    inference(superposition,[],[f609,f161]) ).

fof(f8460,plain,
    ( spl2_195
    | ~ spl2_4
    | ~ spl2_12
    | ~ spl2_37 ),
    inference(avatar_split_clause,[],[f684,f600,f151,f110,f8458]) ).

fof(f8458,plain,
    ( spl2_195
  <=> ! [X0] : coantidomain(X0) = multiplication(coantidomain(X0),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_195])]) ).

fof(f600,plain,
    ( spl2_37
  <=> ! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(coantidomain(X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f684,plain,
    ( ! [X0] : coantidomain(X0) = multiplication(coantidomain(X0),coantidomain(X0))
    | ~ spl2_4
    | ~ spl2_12
    | ~ spl2_37 ),
    inference(forward_demodulation,[],[f660,f111]) ).

fof(f660,plain,
    ( ! [X0] : multiplication(coantidomain(X0),one) = multiplication(coantidomain(X0),coantidomain(X0))
    | ~ spl2_12
    | ~ spl2_37 ),
    inference(superposition,[],[f601,f152]) ).

fof(f601,plain,
    ( ! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(coantidomain(X0),X1))
    | ~ spl2_37 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f8456,plain,
    ( spl2_194
    | ~ spl2_17
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f470,f448,f180,f8454]) ).

fof(f8454,plain,
    ( spl2_194
  <=> ! [X0] : one = addition(divergence(X0),antidomain(divergence(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_194])]) ).

fof(f470,plain,
    ( ! [X0] : one = addition(divergence(X0),antidomain(divergence(X0)))
    | ~ spl2_17
    | ~ spl2_29 ),
    inference(superposition,[],[f449,f181]) ).

fof(f8420,plain,
    ( spl2_193
    | ~ spl2_177
    | ~ spl2_191 ),
    inference(avatar_split_clause,[],[f8412,f8409,f7246,f8418]) ).

fof(f8418,plain,
    ( spl2_193
  <=> ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),addition(one,X0)) = addition(antidomain(antidomain(sK1)),multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),addition(one,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_193])]) ).

fof(f8409,plain,
    ( spl2_191
  <=> ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(one,X0)) = addition(antidomain(antidomain(sK1)),multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(one,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_191])]) ).

fof(f8412,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),addition(one,X0)) = addition(antidomain(antidomain(sK1)),multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),addition(one,X0)))
    | ~ spl2_177
    | ~ spl2_191 ),
    inference(forward_demodulation,[],[f8410,f7247]) ).

fof(f8410,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(one,X0)) = addition(antidomain(antidomain(sK1)),multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(one,X0)))
    | ~ spl2_191 ),
    inference(avatar_component_clause,[],[f8409]) ).

fof(f8416,plain,
    ( spl2_192
    | ~ spl2_9
    | ~ spl2_37
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f2385,f1753,f600,f131,f8414]) ).

fof(f8414,plain,
    ( spl2_192
  <=> ! [X0] : zero = multiplication(X0,multiplication(antidomain(antidomain(sK1)),coantidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_192])]) ).

fof(f1753,plain,
    ( spl2_60
  <=> ! [X0] : addition(X0,multiplication(antidomain(antidomain(sK1)),X0)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_60])]) ).

fof(f2385,plain,
    ( ! [X0] : zero = multiplication(X0,multiplication(antidomain(antidomain(sK1)),coantidomain(X0)))
    | ~ spl2_9
    | ~ spl2_37
    | ~ spl2_60 ),
    inference(forward_demodulation,[],[f2369,f132]) ).

fof(f2369,plain,
    ( ! [X0] : multiplication(X0,coantidomain(X0)) = multiplication(X0,multiplication(antidomain(antidomain(sK1)),coantidomain(X0)))
    | ~ spl2_37
    | ~ spl2_60 ),
    inference(superposition,[],[f601,f1754]) ).

fof(f1754,plain,
    ( ! [X0] : addition(X0,multiplication(antidomain(antidomain(sK1)),X0)) = X0
    | ~ spl2_60 ),
    inference(avatar_component_clause,[],[f1753]) ).

fof(f8411,plain,
    ( spl2_191
    | ~ spl2_27
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1092,f840,f430,f8409]) ).

fof(f1092,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(one,X0)) = addition(antidomain(antidomain(sK1)),multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(one,X0)))
    | ~ spl2_27
    | ~ spl2_45 ),
    inference(superposition,[],[f431,f841]) ).

fof(f8406,plain,
    ( spl2_190
    | ~ spl2_16
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f1027,f836,f430,f176,f8404]) ).

fof(f8404,plain,
    ( spl2_190
  <=> ! [X0,X1] : addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_190])]) ).

fof(f1027,plain,
    ( ! [X0,X1] : addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(X0,X1)))
    | ~ spl2_16
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(forward_demodulation,[],[f969,f177]) ).

fof(f969,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(sK1)),addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),X1)) = addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f431]) ).

fof(f8401,plain,
    ( spl2_189
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f1012,f836,f430,f8399]) ).

fof(f8399,plain,
    ( spl2_189
  <=> ! [X0,X1] : addition(X0,addition(X1,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))) = addition(antidomain(antidomain(sK1)),addition(X0,addition(X1,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_189])]) ).

fof(f1012,plain,
    ( ! [X0,X1] : addition(X0,addition(X1,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))) = addition(antidomain(antidomain(sK1)),addition(X0,addition(X1,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))))
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(superposition,[],[f431,f837]) ).

fof(f8396,plain,
    ( spl2_188
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f999,f836,f430,f8394]) ).

fof(f8394,plain,
    ( spl2_188
  <=> ! [X0,X1] : addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) = addition(antidomain(antidomain(sK1)),addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_188])]) ).

fof(f999,plain,
    ( ! [X0,X1] : addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) = addition(antidomain(antidomain(sK1)),addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)))
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(superposition,[],[f431,f837]) ).

fof(f8316,plain,
    ( spl2_187
    | ~ spl2_177
    | ~ spl2_186 ),
    inference(avatar_split_clause,[],[f8312,f8309,f7246,f8314]) ).

fof(f8314,plain,
    ( spl2_187
  <=> ! [X0,X1] : addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)) = addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0),addition(X1,antidomain(antidomain(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_187])]) ).

fof(f8309,plain,
    ( spl2_186
  <=> ! [X0,X1] : addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),addition(X1,antidomain(antidomain(sK1)))) = addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_186])]) ).

fof(f8312,plain,
    ( ! [X0,X1] : addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)) = addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0),addition(X1,antidomain(antidomain(sK1))))
    | ~ spl2_177
    | ~ spl2_186 ),
    inference(forward_demodulation,[],[f8310,f7247]) ).

fof(f8310,plain,
    ( ! [X0,X1] : addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),addition(X1,antidomain(antidomain(sK1)))) = addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))
    | ~ spl2_186 ),
    inference(avatar_component_clause,[],[f8309]) ).

fof(f8311,plain,
    ( spl2_186
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f937,f836,f430,f8309]) ).

fof(f937,plain,
    ( ! [X0,X1] : addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),addition(X1,antidomain(antidomain(sK1)))) = addition(X1,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))
    | ~ spl2_27
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f431]) ).

fof(f8207,plain,
    ( spl2_185
    | ~ spl2_177
    | ~ spl2_184 ),
    inference(avatar_split_clause,[],[f8203,f8200,f7246,f8205]) ).

fof(f8205,plain,
    ( spl2_185
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),addition(X0,X1)) = addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0),addition(antidomain(antidomain(sK1)),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_185])]) ).

fof(f8200,plain,
    ( spl2_184
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(X0,X1)) = addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),addition(antidomain(antidomain(sK1)),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_184])]) ).

fof(f8203,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),addition(X0,X1)) = addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0),addition(antidomain(antidomain(sK1)),X1))
    | ~ spl2_177
    | ~ spl2_184 ),
    inference(forward_demodulation,[],[f8201,f7247]) ).

fof(f8201,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(X0,X1)) = addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),addition(antidomain(antidomain(sK1)),X1))
    | ~ spl2_184 ),
    inference(avatar_component_clause,[],[f8200]) ).

fof(f8202,plain,
    ( spl2_184
    | ~ spl2_16
    | ~ spl2_27
    | ~ spl2_42 ),
    inference(avatar_split_clause,[],[f913,f827,f430,f176,f8200]) ).

fof(f913,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(X0,X1)) = addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),addition(antidomain(antidomain(sK1)),X1))
    | ~ spl2_16
    | ~ spl2_27
    | ~ spl2_42 ),
    inference(forward_demodulation,[],[f884,f177]) ).

fof(f884,plain,
    ( ! [X0,X1] : addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),X1) = addition(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),addition(antidomain(antidomain(sK1)),X1))
    | ~ spl2_27
    | ~ spl2_42 ),
    inference(superposition,[],[f828,f431]) ).

fof(f8198,plain,
    ( spl2_183
    | ~ spl2_12
    | ~ spl2_55
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f2384,f1753,f1713,f151,f8196]) ).

fof(f8196,plain,
    ( spl2_183
  <=> ! [X0] : one = addition(one,multiplication(antidomain(antidomain(sK1)),coantidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_183])]) ).

fof(f2384,plain,
    ( ! [X0] : one = addition(one,multiplication(antidomain(antidomain(sK1)),coantidomain(X0)))
    | ~ spl2_12
    | ~ spl2_55
    | ~ spl2_60 ),
    inference(forward_demodulation,[],[f2368,f152]) ).

fof(f2368,plain,
    ( ! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(one,multiplication(antidomain(antidomain(sK1)),coantidomain(X0)))
    | ~ spl2_55
    | ~ spl2_60 ),
    inference(superposition,[],[f1714,f1754]) ).

fof(f7821,plain,
    ( spl2_182
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f2467,f2418,f870,f131,f7819]) ).

fof(f7819,plain,
    ( spl2_182
  <=> ! [X0,X1] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),coantidomain(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_182])]) ).

fof(f2467,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),coantidomain(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)))
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f2454,f132]) ).

fof(f2454,plain,
    ( ! [X0,X1] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),coantidomain(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1))) = multiplication(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1),coantidomain(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)))
    | ~ spl2_52
    | ~ spl2_75 ),
    inference(superposition,[],[f871,f2419]) ).

fof(f7817,plain,
    ( spl2_181
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f2466,f2418,f852,f135,f7815]) ).

fof(f7815,plain,
    ( spl2_181
  <=> ! [X0,X1] : zero = multiplication(antidomain(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_181])]) ).

fof(f2466,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))))
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f2453,f136]) ).

fof(f2453,plain,
    ( ! [X0,X1] : multiplication(antidomain(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0)))))) = multiplication(antidomain(addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1))
    | ~ spl2_48
    | ~ spl2_75 ),
    inference(superposition,[],[f853,f2419]) ).

fof(f7813,plain,
    ( spl2_180
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_39
    | ~ spl2_44
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f2461,f2418,f1709,f848,f836,f608,f537,f448,f160,f118,f110,f7811]) ).

fof(f7811,plain,
    ( spl2_180
  <=> ! [X0,X1] : addition(X1,one) = addition(antidomain(multiplication(sK0,antidomain(antidomain(X0)))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_180])]) ).

fof(f2461,plain,
    ( ! [X0,X1] : addition(X1,one) = addition(antidomain(multiplication(sK0,antidomain(antidomain(X0)))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_39
    | ~ spl2_44
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f2460,f1849]) ).

fof(f2460,plain,
    ( ! [X0,X1] : addition(one,addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)) = addition(antidomain(multiplication(sK0,antidomain(antidomain(X0)))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f2446,f1270]) ).

fof(f2446,plain,
    ( ! [X0,X1] : addition(one,addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1)) = addition(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0)))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1))
    | ~ spl2_54
    | ~ spl2_75 ),
    inference(superposition,[],[f1710,f2419]) ).

fof(f7256,plain,
    ( spl2_179
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_12
    | ~ spl2_28
    | ~ spl2_37
    | ~ spl2_51 ),
    inference(avatar_split_clause,[],[f1617,f866,f600,f444,f151,f118,f110,f7254]) ).

fof(f7254,plain,
    ( spl2_179
  <=> ! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_179])]) ).

fof(f1617,plain,
    ( ! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0)))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_12
    | ~ spl2_28
    | ~ spl2_37
    | ~ spl2_51 ),
    inference(forward_demodulation,[],[f1616,f685]) ).

fof(f685,plain,
    ( ! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0
    | ~ spl2_4
    | ~ spl2_28
    | ~ spl2_37 ),
    inference(forward_demodulation,[],[f661,f111]) ).

fof(f661,plain,
    ( ! [X0] : multiplication(X0,one) = multiplication(X0,coantidomain(coantidomain(X0)))
    | ~ spl2_28
    | ~ spl2_37 ),
    inference(superposition,[],[f601,f445]) ).

fof(f1616,plain,
    ( ! [X0] : coantidomain(coantidomain(coantidomain(X0))) = multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0))))
    | ~ spl2_6
    | ~ spl2_12
    | ~ spl2_51 ),
    inference(forward_demodulation,[],[f1586,f119]) ).

fof(f1586,plain,
    ( ! [X0] : multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))) = multiplication(one,coantidomain(coantidomain(coantidomain(X0))))
    | ~ spl2_12
    | ~ spl2_51 ),
    inference(superposition,[],[f867,f152]) ).

fof(f7252,plain,
    ( spl2_178
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47 ),
    inference(avatar_split_clause,[],[f1273,f848,f608,f465,f448,f118,f110,f7250]) ).

fof(f7250,plain,
    ( spl2_178
  <=> ! [X0] : divergence(X0) = antidomain(antidomain(divergence(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_178])]) ).

fof(f1273,plain,
    ( ! [X0] : divergence(X0) = antidomain(antidomain(divergence(X0)))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47 ),
    inference(forward_demodulation,[],[f1272,f771]) ).

fof(f1272,plain,
    ( ! [X0] : antidomain(antidomain(divergence(X0))) = multiplication(antidomain(antidomain(divergence(X0))),divergence(X0))
    | ~ spl2_4
    | ~ spl2_33
    | ~ spl2_47 ),
    inference(forward_demodulation,[],[f1248,f111]) ).

fof(f1248,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(divergence(X0))),divergence(X0)) = multiplication(antidomain(antidomain(divergence(X0))),one)
    | ~ spl2_33
    | ~ spl2_47 ),
    inference(superposition,[],[f849,f466]) ).

fof(f7248,plain,
    ( spl2_177
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47 ),
    inference(avatar_split_clause,[],[f1270,f848,f608,f448,f160,f118,f110,f7246]) ).

fof(f7244,plain,
    ( spl2_176
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_39 ),
    inference(avatar_split_clause,[],[f771,f608,f448,f118,f7242]) ).

fof(f7242,plain,
    ( spl2_176
  <=> ! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_176])]) ).

fof(f7240,plain,
    ( spl2_175
    | ~ spl2_4
    | ~ spl2_28
    | ~ spl2_37 ),
    inference(avatar_split_clause,[],[f685,f600,f444,f110,f7238]) ).

fof(f7238,plain,
    ( spl2_175
  <=> ! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_175])]) ).

fof(f7235,plain,
    ( spl2_174
    | ~ spl2_26
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f474,f448,f413,f7232]) ).

fof(f7232,plain,
    ( spl2_174
  <=> one = addition(antidomain(zero),divergence(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_174])]) ).

fof(f474,plain,
    ( one = addition(antidomain(zero),divergence(zero))
    | ~ spl2_26
    | ~ spl2_29 ),
    inference(superposition,[],[f449,f415]) ).

fof(f7086,plain,
    ( spl2_173
    | ~ spl2_5
    | ~ spl2_144
    | ~ spl2_172 ),
    inference(avatar_split_clause,[],[f7081,f7077,f5627,f114,f7083]) ).

fof(f7077,plain,
    ( spl2_172
  <=> zero = multiplication(divergence(zero),antidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_172])]) ).

fof(f7081,plain,
    ( zero = multiplication(divergence(zero),one)
    | ~ spl2_5
    | ~ spl2_144
    | ~ spl2_172 ),
    inference(forward_demodulation,[],[f7079,f5810]) ).

fof(f7079,plain,
    ( zero = multiplication(divergence(zero),antidomain(zero))
    | ~ spl2_172 ),
    inference(avatar_component_clause,[],[f7077]) ).

fof(f7080,plain,
    ( spl2_172
    | ~ spl2_10
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f427,f413,f135,f7077]) ).

fof(f427,plain,
    ( zero = multiplication(divergence(zero),antidomain(zero))
    | ~ spl2_10
    | ~ spl2_26 ),
    inference(superposition,[],[f136,f415]) ).

fof(f6953,plain,
    ( spl2_171
    | ~ spl2_14
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f421,f413,f160,f6950]) ).

fof(f6950,plain,
    ( spl2_171
  <=> one = addition(divergence(zero),antidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_171])]) ).

fof(f421,plain,
    ( one = addition(divergence(zero),antidomain(zero))
    | ~ spl2_14
    | ~ spl2_26 ),
    inference(superposition,[],[f161,f415]) ).

fof(f6760,plain,
    ( spl2_170
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f2410,f2393,f870,f131,f6758]) ).

fof(f6758,plain,
    ( spl2_170
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_170])]) ).

fof(f2410,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))))
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f2404,f132]) ).

fof(f2404,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))) = multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))))
    | ~ spl2_52
    | ~ spl2_73 ),
    inference(superposition,[],[f871,f2394]) ).

fof(f6756,plain,
    ( spl2_169
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_9
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f1687,f870,f848,f608,f448,f316,f160,f131,f118,f110,f6754]) ).

fof(f6754,plain,
    ( spl2_169
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_169])]) ).

fof(f1687,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_9
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1686,f1270]) ).

fof(f1686,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_9
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1685,f1270]) ).

fof(f1685,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))))
    | ~ spl2_9
    | ~ spl2_21
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1649,f132]) ).

fof(f1649,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))) = multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))))
    | ~ spl2_21
    | ~ spl2_52 ),
    inference(superposition,[],[f871,f317]) ).

fof(f6723,plain,
    ( spl2_168
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f1438,f856,f848,f608,f448,f430,f160,f118,f110,f6721]) ).

fof(f6721,plain,
    ( spl2_168
  <=> ! [X0] : multiplication(addition(one,X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = addition(antidomain(antidomain(sK1)),multiplication(addition(one,X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_168])]) ).

fof(f1438,plain,
    ( ! [X0] : multiplication(addition(one,X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = addition(antidomain(antidomain(sK1)),multiplication(addition(one,X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f1413,f1270]) ).

fof(f1413,plain,
    ( ! [X0] : multiplication(addition(one,X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = addition(antidomain(antidomain(sK1)),multiplication(addition(one,X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))
    | ~ spl2_27
    | ~ spl2_49 ),
    inference(superposition,[],[f431,f857]) ).

fof(f6718,plain,
    ( spl2_167
    | ~ spl2_8
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f970,f836,f126,f6716]) ).

fof(f6716,plain,
    ( spl2_167
  <=> ! [X0] : addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) = addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_167])]) ).

fof(f126,plain,
    ( spl2_8
  <=> antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f970,plain,
    ( ! [X0] : addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) = addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))
    | ~ spl2_8
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f128]) ).

fof(f128,plain,
    ( antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f6713,plain,
    ( spl2_166
    | ~ spl2_8
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f938,f836,f126,f6711]) ).

fof(f6711,plain,
    ( spl2_166
  <=> ! [X0] : addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(X0,antidomain(antidomain(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_166])]) ).

fof(f938,plain,
    ( ! [X0] : addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(X0,antidomain(antidomain(sK1))))
    | ~ spl2_8
    | ~ spl2_44 ),
    inference(superposition,[],[f837,f128]) ).

fof(f6708,plain,
    ( spl2_165
    | ~ spl2_8
    | ~ spl2_42 ),
    inference(avatar_split_clause,[],[f885,f827,f126,f6706]) ).

fof(f6706,plain,
    ( spl2_165
  <=> ! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(antidomain(antidomain(sK1)),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_165])]) ).

fof(f885,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),addition(antidomain(antidomain(sK1)),X0))
    | ~ spl2_8
    | ~ spl2_42 ),
    inference(superposition,[],[f828,f128]) ).

fof(f6704,plain,
    ( spl2_164
    | ~ spl2_11
    | ~ spl2_141 ),
    inference(avatar_split_clause,[],[f5999,f5571,f143,f6702]) ).

fof(f6702,plain,
    ( spl2_164
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(X0,one))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_164])]) ).

fof(f5571,plain,
    ( spl2_141
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(one,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_141])]) ).

fof(f5999,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(X0,one)))
    | ~ spl2_11
    | ~ spl2_141 ),
    inference(superposition,[],[f5572,f144]) ).

fof(f5572,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(one,X0)))
    | ~ spl2_141 ),
    inference(avatar_component_clause,[],[f5571]) ).

fof(f6657,plain,
    ( spl2_163
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_162 ),
    inference(avatar_split_clause,[],[f6653,f6650,f848,f608,f448,f160,f118,f110,f6655]) ).

fof(f6655,plain,
    ( spl2_163
  <=> ! [X0] : addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = addition(antidomain(antidomain(sK1)),addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_163])]) ).

fof(f6650,plain,
    ( spl2_162
  <=> ! [X0] : addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = addition(antidomain(antidomain(sK1)),addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_162])]) ).

fof(f6653,plain,
    ( ! [X0] : addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = addition(antidomain(antidomain(sK1)),addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_162 ),
    inference(forward_demodulation,[],[f6651,f1270]) ).

fof(f6651,plain,
    ( ! [X0] : addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = addition(antidomain(antidomain(sK1)),addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))
    | ~ spl2_162 ),
    inference(avatar_component_clause,[],[f6650]) ).

fof(f6652,plain,
    ( spl2_162
    | ~ spl2_11
    | ~ spl2_27 ),
    inference(avatar_split_clause,[],[f437,f430,f143,f6650]) ).

fof(f437,plain,
    ( ! [X0] : addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = addition(antidomain(antidomain(sK1)),addition(X0,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))
    | ~ spl2_11
    | ~ spl2_27 ),
    inference(superposition,[],[f431,f144]) ).

fof(f6273,plain,
    ( spl2_161
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f2409,f2393,f852,f848,f608,f448,f160,f135,f118,f110,f6271]) ).

fof(f6271,plain,
    ( spl2_161
  <=> ! [X0] : zero = multiplication(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))),antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_161])]) ).

fof(f2409,plain,
    ( ! [X0] : zero = multiplication(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))),antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f2408,f1270]) ).

fof(f2408,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))),antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))))
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f2403,f136]) ).

fof(f2403,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))),antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0)))))) = multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))
    | ~ spl2_48
    | ~ spl2_73 ),
    inference(superposition,[],[f853,f2394]) ).

fof(f6269,plain,
    ( spl2_160
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f2407,f2393,f612,f135,f6267]) ).

fof(f6267,plain,
    ( spl2_160
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_160])]) ).

fof(f2407,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f2397,f136]) ).

fof(f2397,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))) = multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))
    | ~ spl2_40
    | ~ spl2_73 ),
    inference(superposition,[],[f613,f2394]) ).

fof(f6265,plain,
    ( spl2_159
    | ~ spl2_11
    | ~ spl2_135 ),
    inference(avatar_split_clause,[],[f5659,f5300,f143,f6263]) ).

fof(f6263,plain,
    ( spl2_159
  <=> ! [X0] : zero = multiplication(antidomain(addition(X0,one)),antidomain(antidomain(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_159])]) ).

fof(f5300,plain,
    ( spl2_135
  <=> ! [X0] : zero = multiplication(antidomain(addition(one,X0)),antidomain(antidomain(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_135])]) ).

fof(f5659,plain,
    ( ! [X0] : zero = multiplication(antidomain(addition(X0,one)),antidomain(antidomain(sK1)))
    | ~ spl2_11
    | ~ spl2_135 ),
    inference(superposition,[],[f5301,f144]) ).

fof(f5301,plain,
    ( ! [X0] : zero = multiplication(antidomain(addition(one,X0)),antidomain(antidomain(sK1)))
    | ~ spl2_135 ),
    inference(avatar_component_clause,[],[f5300]) ).

fof(f6261,plain,
    ( spl2_158
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_73 ),
    inference(avatar_split_clause,[],[f2406,f2393,f1709,f848,f608,f537,f448,f160,f118,f110,f6259]) ).

fof(f6259,plain,
    ( spl2_158
  <=> ! [X0] : one = addition(antidomain(multiplication(sK0,antidomain(divergence(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_158])]) ).

fof(f2406,plain,
    ( ! [X0] : one = addition(antidomain(multiplication(sK0,antidomain(divergence(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f2405,f1842]) ).

fof(f2405,plain,
    ( ! [X0] : addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))) = addition(antidomain(multiplication(sK0,antidomain(divergence(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_73 ),
    inference(forward_demodulation,[],[f2396,f1270]) ).

fof(f2396,plain,
    ( ! [X0] : addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0))))))))))) = addition(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))
    | ~ spl2_54
    | ~ spl2_73 ),
    inference(superposition,[],[f1710,f2394]) ).

fof(f6257,plain,
    ( spl2_157
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1845,f1709,f848,f608,f537,f448,f316,f160,f118,f110,f6255]) ).

fof(f6255,plain,
    ( spl2_157
  <=> ! [X0] : one = addition(antidomain(multiplication(sK0,antidomain(antidomain(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_157])]) ).

fof(f1845,plain,
    ( ! [X0] : one = addition(antidomain(multiplication(sK0,antidomain(antidomain(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1844,f1842]) ).

fof(f1844,plain,
    ( ! [X0] : addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) = addition(antidomain(multiplication(sK0,antidomain(antidomain(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1843,f1270]) ).

fof(f1843,plain,
    ( ! [X0] : addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))) = addition(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1806,f1270]) ).

fof(f1806,plain,
    ( ! [X0] : addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))) = addition(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))
    | ~ spl2_21
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f317]) ).

fof(f6253,plain,
    ( spl2_156
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f1339,f852,f848,f608,f448,f316,f160,f135,f118,f110,f6251]) ).

fof(f6251,plain,
    ( spl2_156
  <=> ! [X0] : zero = multiplication(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_156])]) ).

fof(f1339,plain,
    ( ! [X0] : zero = multiplication(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1338,f1270]) ).

fof(f1338,plain,
    ( ! [X0] : zero = multiplication(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1337,f1270]) ).

fof(f1337,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_21
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1336,f1270]) ).

fof(f1336,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))
    | ~ spl2_10
    | ~ spl2_21
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1304,f136]) ).

fof(f1304,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))) = multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))
    | ~ spl2_21
    | ~ spl2_48 ),
    inference(superposition,[],[f853,f317]) ).

fof(f6145,plain,
    ( spl2_155
    | ~ spl2_4
    | ~ spl2_5
    | ~ spl2_144
    | ~ spl2_154 ),
    inference(avatar_split_clause,[],[f6140,f6135,f5627,f114,f110,f6142]) ).

fof(f6142,plain,
    ( spl2_155
  <=> antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_155])]) ).

fof(f6135,plain,
    ( spl2_154
  <=> antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(zero))) = addition(antidomain(antidomain(sK1)),antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(zero)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_154])]) ).

fof(f6140,plain,
    ( antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))
    | ~ spl2_4
    | ~ spl2_5
    | ~ spl2_144
    | ~ spl2_154 ),
    inference(forward_demodulation,[],[f6139,f111]) ).

fof(f6139,plain,
    ( antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),one)) = addition(antidomain(antidomain(sK1)),antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),one)))
    | ~ spl2_5
    | ~ spl2_144
    | ~ spl2_154 ),
    inference(forward_demodulation,[],[f6137,f5810]) ).

fof(f6137,plain,
    ( antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(zero))) = addition(antidomain(antidomain(sK1)),antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(zero))))
    | ~ spl2_154 ),
    inference(avatar_component_clause,[],[f6135]) ).

fof(f6138,plain,
    ( spl2_154
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_71 ),
    inference(avatar_split_clause,[],[f2326,f2250,f848,f608,f448,f430,f160,f118,f110,f6135]) ).

fof(f2326,plain,
    ( antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(zero))) = addition(antidomain(antidomain(sK1)),antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(zero))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_71 ),
    inference(forward_demodulation,[],[f2307,f1270]) ).

fof(f2307,plain,
    ( antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))),antidomain(zero))) = addition(antidomain(antidomain(sK1)),antidomain(multiplication(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))),antidomain(zero))))
    | ~ spl2_27
    | ~ spl2_71 ),
    inference(superposition,[],[f431,f2251]) ).

fof(f6133,plain,
    ( spl2_153
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1926,f1907,f870,f131,f6131]) ).

fof(f6131,plain,
    ( spl2_153
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,divergence(X0)))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_153])]) ).

fof(f1926,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,divergence(X0)))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))))
    | ~ spl2_9
    | ~ spl2_52
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f1919,f132]) ).

fof(f1919,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,divergence(X0)))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))) = multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),coantidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))))
    | ~ spl2_52
    | ~ spl2_64 ),
    inference(superposition,[],[f871,f1908]) ).

fof(f5776,plain,
    ( spl2_152
    | ~ spl2_12
    | ~ spl2_28
    | ~ spl2_34
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1887,f1713,f537,f444,f151,f5774]) ).

fof(f5774,plain,
    ( spl2_152
  <=> ! [X0] : one = addition(one,coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_152])]) ).

fof(f5772,plain,
    ( spl2_151
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_34
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1847,f1709,f537,f465,f448,f5770]) ).

fof(f5770,plain,
    ( spl2_151
  <=> ! [X0] : one = addition(one,divergence(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_151])]) ).

fof(f1847,plain,
    ( ! [X0] : one = addition(one,divergence(X0))
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_34
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1809,f565]) ).

fof(f1809,plain,
    ( ! [X0] : addition(one,divergence(X0)) = addition(antidomain(antidomain(divergence(X0))),one)
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f466]) ).

fof(f5656,plain,
    ( spl2_150
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1842,f1709,f537,f448,f160,f5654]) ).

fof(f5654,plain,
    ( spl2_150
  <=> ! [X0] : one = addition(one,antidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_150])]) ).

fof(f5652,plain,
    ( spl2_149
    | ~ spl2_34
    | ~ spl2_57 ),
    inference(avatar_split_clause,[],[f1730,f1722,f537,f5650]) ).

fof(f1722,plain,
    ( spl2_57
  <=> ! [X0] : one = addition(divergence(X0),antidomain(multiplication(X0,divergence(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).

fof(f1730,plain,
    ( ! [X0] : one = addition(divergence(X0),one)
    | ~ spl2_34
    | ~ spl2_57 ),
    inference(superposition,[],[f538,f1723]) ).

fof(f1723,plain,
    ( ! [X0] : one = addition(divergence(X0),antidomain(multiplication(X0,divergence(X0))))
    | ~ spl2_57 ),
    inference(avatar_component_clause,[],[f1722]) ).

fof(f5648,plain,
    ( spl2_148
    | ~ spl2_28
    | ~ spl2_34 ),
    inference(avatar_split_clause,[],[f569,f537,f444,f5646]) ).

fof(f5646,plain,
    ( spl2_148
  <=> ! [X0] : one = addition(coantidomain(X0),one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_148])]) ).

fof(f5644,plain,
    ( spl2_147
    | ~ spl2_29
    | ~ spl2_34 ),
    inference(avatar_split_clause,[],[f565,f537,f448,f5642]) ).

fof(f5640,plain,
    ( spl2_146
    | ~ spl2_19
    | ~ spl2_29 ),
    inference(avatar_split_clause,[],[f472,f448,f233,f5637]) ).

fof(f5637,plain,
    ( spl2_146
  <=> one = addition(zero,antidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_146])]) ).

fof(f472,plain,
    ( one = addition(zero,antidomain(zero))
    | ~ spl2_19
    | ~ spl2_29 ),
    inference(superposition,[],[f449,f235]) ).

fof(f5635,plain,
    ( spl2_145
    | ~ spl2_13
    | ~ spl2_28 ),
    inference(avatar_split_clause,[],[f468,f444,f155,f5632]) ).

fof(f5632,plain,
    ( spl2_145
  <=> one = addition(zero,coantidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_145])]) ).

fof(f468,plain,
    ( one = addition(zero,coantidomain(zero))
    | ~ spl2_13
    | ~ spl2_28 ),
    inference(superposition,[],[f445,f157]) ).

fof(f5630,plain,
    ( spl2_144
    | ~ spl2_14
    | ~ spl2_19 ),
    inference(avatar_split_clause,[],[f396,f233,f160,f5627]) ).

fof(f396,plain,
    ( one = addition(antidomain(zero),zero)
    | ~ spl2_14
    | ~ spl2_19 ),
    inference(superposition,[],[f161,f235]) ).

fof(f5625,plain,
    ( spl2_143
    | ~ spl2_12
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f373,f155,f151,f5622]) ).

fof(f373,plain,
    ( one = addition(coantidomain(zero),zero)
    | ~ spl2_12
    | ~ spl2_13 ),
    inference(superposition,[],[f152,f157]) ).

fof(f5577,plain,
    ( spl2_142
    | ~ spl2_16
    | ~ spl2_132
    | ~ spl2_140 ),
    inference(avatar_split_clause,[],[f5569,f5566,f5264,f176,f5575]) ).

fof(f5575,plain,
    ( spl2_142
  <=> ! [X0] : addition(one,X0) = addition(one,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_142])]) ).

fof(f5264,plain,
    ( spl2_132
  <=> one = addition(antidomain(sK1),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_132])]) ).

fof(f5566,plain,
    ( spl2_140
  <=> ! [X0] : addition(one,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)) = addition(antidomain(sK1),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_140])]) ).

fof(f5569,plain,
    ( ! [X0] : addition(one,X0) = addition(one,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0))
    | ~ spl2_16
    | ~ spl2_132
    | ~ spl2_140 ),
    inference(forward_demodulation,[],[f5567,f5271]) ).

fof(f5271,plain,
    ( ! [X0] : addition(one,X0) = addition(antidomain(sK1),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0))
    | ~ spl2_16
    | ~ spl2_132 ),
    inference(superposition,[],[f177,f5266]) ).

fof(f5266,plain,
    ( one = addition(antidomain(sK1),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))
    | ~ spl2_132 ),
    inference(avatar_component_clause,[],[f5264]) ).

fof(f5567,plain,
    ( ! [X0] : addition(one,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)) = addition(antidomain(sK1),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0))
    | ~ spl2_140 ),
    inference(avatar_component_clause,[],[f5566]) ).

fof(f5573,plain,
    ( spl2_141
    | ~ spl2_54
    | ~ spl2_130 ),
    inference(avatar_split_clause,[],[f5164,f5038,f1709,f5571]) ).

fof(f5038,plain,
    ( spl2_130
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_130])]) ).

fof(f5164,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(one,X0)))
    | ~ spl2_54
    | ~ spl2_130 ),
    inference(superposition,[],[f5039,f1710]) ).

fof(f5039,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)))
    | ~ spl2_130 ),
    inference(avatar_component_clause,[],[f5038]) ).

fof(f5568,plain,
    ( spl2_140
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1838,f1709,f848,f608,f448,f430,f160,f118,f110,f5566]) ).

fof(f1838,plain,
    ( ! [X0] : addition(one,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)) = addition(antidomain(sK1),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1837,f1270]) ).

fof(f1837,plain,
    ( ! [X0] : addition(one,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)) = addition(antidomain(antidomain(antidomain(sK1))),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1802,f1270]) ).

fof(f1802,plain,
    ( ! [X0] : addition(one,addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)) = addition(antidomain(antidomain(antidomain(sK1))),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))
    | ~ spl2_27
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f431]) ).

fof(f5361,plain,
    ( spl2_139
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1925,f1907,f852,f848,f608,f448,f160,f135,f118,f110,f5359]) ).

fof(f5359,plain,
    ( spl2_139
  <=> ! [X0] : zero = multiplication(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))),antidomain(antidomain(multiplication(sK0,divergence(X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_139])]) ).

fof(f1925,plain,
    ( ! [X0] : zero = multiplication(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))),antidomain(antidomain(multiplication(sK0,divergence(X0)))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f1924,f1270]) ).

fof(f1924,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))),antidomain(antidomain(multiplication(sK0,divergence(X0)))))
    | ~ spl2_10
    | ~ spl2_48
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f1918,f136]) ).

fof(f1918,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))),antidomain(antidomain(multiplication(sK0,divergence(X0))))) = multiplication(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))
    | ~ spl2_48
    | ~ spl2_64 ),
    inference(superposition,[],[f853,f1908]) ).

fof(f5357,plain,
    ( spl2_138
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1923,f1907,f612,f135,f5355]) ).

fof(f5355,plain,
    ( spl2_138
  <=> ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,divergence(X0)))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_138])]) ).

fof(f1923,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(multiplication(sK0,divergence(X0)))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))
    | ~ spl2_10
    | ~ spl2_40
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f1912,f136]) ).

fof(f1912,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(multiplication(sK0,divergence(X0)))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))) = multiplication(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))),antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))
    | ~ spl2_40
    | ~ spl2_64 ),
    inference(superposition,[],[f613,f1908]) ).

fof(f5353,plain,
    ( spl2_137
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1922,f1907,f1709,f848,f608,f537,f448,f160,f118,f110,f5351]) ).

fof(f5351,plain,
    ( spl2_137
  <=> ! [X0] : one = addition(antidomain(multiplication(sK0,divergence(X0))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_137])]) ).

fof(f1922,plain,
    ( ! [X0] : one = addition(antidomain(multiplication(sK0,divergence(X0))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f1921,f1842]) ).

fof(f1921,plain,
    ( ! [X0] : addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))) = addition(antidomain(multiplication(sK0,divergence(X0))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f1911,f1270]) ).

fof(f1911,plain,
    ( ! [X0] : addition(one,antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0)))))))))) = addition(antidomain(antidomain(antidomain(multiplication(sK0,divergence(X0))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))
    | ~ spl2_54
    | ~ spl2_64 ),
    inference(superposition,[],[f1710,f1908]) ).

fof(f5318,plain,
    ( spl2_136
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_17
    | ~ spl2_26
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_59
    | ~ spl2_75 ),
    inference(avatar_split_clause,[],[f2457,f2418,f1749,f848,f608,f465,f448,f413,f180,f118,f110,f5316]) ).

fof(f1749,plain,
    ( spl2_59
  <=> ! [X0] : zero = multiplication(divergence(X0),antidomain(multiplication(X0,divergence(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).

fof(f2457,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0) = addition(divergence(sK0),addition(antidomain(antidomain(multiplication(star(sK0),divergence(zero)))),X0))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_17
    | ~ spl2_26
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_59
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f2456,f415]) ).

fof(f2456,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))),X0) = addition(divergence(sK0),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))),X0))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_17
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_59
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f2455,f1750]) ).

fof(f1750,plain,
    ( ! [X0] : zero = multiplication(divergence(X0),antidomain(multiplication(X0,divergence(X0))))
    | ~ spl2_59 ),
    inference(avatar_component_clause,[],[f1749]) ).

fof(f2455,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(sK0),antidomain(multiplication(sK0,divergence(sK0))))))))),X0) = addition(divergence(sK0),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(sK0),antidomain(multiplication(sK0,divergence(sK0))))))))),X0))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_17
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_75 ),
    inference(forward_demodulation,[],[f2421,f1273]) ).

fof(f2421,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(multiplication(sK0,antidomain(antidomain(divergence(sK0))))))))))),X0) = addition(divergence(sK0),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(sK0))),antidomain(multiplication(sK0,antidomain(antidomain(divergence(sK0))))))))))),X0))
    | ~ spl2_17
    | ~ spl2_75 ),
    inference(superposition,[],[f2419,f181]) ).

fof(f5302,plain,
    ( spl2_135
    | ~ spl2_54
    | ~ spl2_129 ),
    inference(avatar_split_clause,[],[f5042,f5034,f1709,f5300]) ).

fof(f5034,plain,
    ( spl2_129
  <=> ! [X0] : zero = multiplication(antidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)),antidomain(antidomain(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_129])]) ).

fof(f5042,plain,
    ( ! [X0] : zero = multiplication(antidomain(addition(one,X0)),antidomain(antidomain(sK1)))
    | ~ spl2_54
    | ~ spl2_129 ),
    inference(superposition,[],[f5035,f1710]) ).

fof(f5035,plain,
    ( ! [X0] : zero = multiplication(antidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)),antidomain(antidomain(sK1)))
    | ~ spl2_129 ),
    inference(avatar_component_clause,[],[f5034]) ).

fof(f5298,plain,
    ( spl2_134
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_78
    | ~ spl2_133 ),
    inference(avatar_split_clause,[],[f5293,f5289,f2500,f118,f110,f5295]) ).

fof(f5295,plain,
    ( spl2_134
  <=> antidomain(antidomain(multiplication(star(sK0),divergence(zero)))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),divergence(zero))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_134])]) ).

fof(f5289,plain,
    ( spl2_133
  <=> antidomain(antidomain(multiplication(star(sK0),divergence(zero)))) = addition(antidomain(antidomain(multiplication(sK0,divergence(sK0)))),antidomain(antidomain(multiplication(star(sK0),divergence(zero))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_133])]) ).

fof(f5293,plain,
    ( antidomain(antidomain(multiplication(star(sK0),divergence(zero)))) = addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),divergence(zero)))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_78
    | ~ spl2_133 ),
    inference(forward_demodulation,[],[f5291,f2570]) ).

fof(f5291,plain,
    ( antidomain(antidomain(multiplication(star(sK0),divergence(zero)))) = addition(antidomain(antidomain(multiplication(sK0,divergence(sK0)))),antidomain(antidomain(multiplication(star(sK0),divergence(zero)))))
    | ~ spl2_133 ),
    inference(avatar_component_clause,[],[f5289]) ).

fof(f5292,plain,
    ( spl2_133
    | ~ spl2_26
    | ~ spl2_59
    | ~ spl2_64 ),
    inference(avatar_split_clause,[],[f1920,f1907,f1749,f413,f5289]) ).

fof(f1920,plain,
    ( antidomain(antidomain(multiplication(star(sK0),divergence(zero)))) = addition(antidomain(antidomain(multiplication(sK0,divergence(sK0)))),antidomain(antidomain(multiplication(star(sK0),divergence(zero)))))
    | ~ spl2_26
    | ~ spl2_59
    | ~ spl2_64 ),
    inference(forward_demodulation,[],[f1910,f415]) ).

fof(f1910,plain,
    ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))) = addition(antidomain(antidomain(multiplication(sK0,divergence(sK0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(zero))))))
    | ~ spl2_59
    | ~ spl2_64 ),
    inference(superposition,[],[f1908,f1750]) ).

fof(f5267,plain,
    ( spl2_132
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_131 ),
    inference(avatar_split_clause,[],[f5262,f5258,f1709,f537,f448,f160,f5264]) ).

fof(f5258,plain,
    ( spl2_131
  <=> addition(antidomain(sK1),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = addition(one,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_131])]) ).

fof(f5262,plain,
    ( one = addition(antidomain(sK1),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_34
    | ~ spl2_54
    | ~ spl2_131 ),
    inference(forward_demodulation,[],[f5260,f1842]) ).

fof(f5260,plain,
    ( addition(antidomain(sK1),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = addition(one,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))
    | ~ spl2_131 ),
    inference(avatar_component_clause,[],[f5258]) ).

fof(f5261,plain,
    ( spl2_131
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1841,f1709,f848,f608,f448,f160,f126,f118,f110,f5258]) ).

fof(f1841,plain,
    ( addition(antidomain(sK1),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = addition(one,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1840,f1270]) ).

fof(f1840,plain,
    ( addition(antidomain(antidomain(antidomain(sK1))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))) = addition(one,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1804,f1270]) ).

fof(f1804,plain,
    ( addition(one,antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))) = addition(antidomain(antidomain(antidomain(sK1))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))
    | ~ spl2_8
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f128]) ).

fof(f5040,plain,
    ( spl2_130
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_9
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f1681,f870,f848,f608,f448,f430,f160,f131,f118,f110,f5038]) ).

fof(f1681,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_9
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1680,f1270]) ).

fof(f1680,plain,
    ( ! [X0] : zero = multiplication(antidomain(antidomain(sK1)),coantidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)))
    | ~ spl2_9
    | ~ spl2_27
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1646,f132]) ).

fof(f1646,plain,
    ( ! [X0] : multiplication(antidomain(antidomain(sK1)),coantidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))) = multiplication(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0),coantidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)))
    | ~ spl2_27
    | ~ spl2_52 ),
    inference(superposition,[],[f871,f431]) ).

fof(f5036,plain,
    ( spl2_129
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f1331,f852,f848,f608,f448,f430,f160,f135,f118,f110,f5034]) ).

fof(f1331,plain,
    ( ! [X0] : zero = multiplication(antidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))),X0)),antidomain(antidomain(sK1)))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_27
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1330,f1270]) ).

fof(f1330,plain,
    ( ! [X0] : zero = multiplication(antidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),antidomain(antidomain(sK1)))
    | ~ spl2_10
    | ~ spl2_27
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1301,f136]) ).

fof(f1301,plain,
    ( ! [X0] : multiplication(antidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),antidomain(antidomain(sK1))) = multiplication(antidomain(addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))
    | ~ spl2_27
    | ~ spl2_48 ),
    inference(superposition,[],[f853,f431]) ).

fof(f4961,plain,
    ( spl2_128
    | ~ spl2_10
    | ~ spl2_39
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f2383,f1753,f608,f135,f4959]) ).

fof(f4959,plain,
    ( spl2_128
  <=> ! [X0] : zero = multiplication(multiplication(antidomain(antidomain(sK1)),antidomain(X0)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_128])]) ).

fof(f2383,plain,
    ( ! [X0] : zero = multiplication(multiplication(antidomain(antidomain(sK1)),antidomain(X0)),X0)
    | ~ spl2_10
    | ~ spl2_39
    | ~ spl2_60 ),
    inference(forward_demodulation,[],[f2367,f136]) ).

fof(f2367,plain,
    ( ! [X0] : multiplication(antidomain(X0),X0) = multiplication(multiplication(antidomain(antidomain(sK1)),antidomain(X0)),X0)
    | ~ spl2_39
    | ~ spl2_60 ),
    inference(superposition,[],[f609,f1754]) ).

fof(f4957,plain,
    ( spl2_127
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_9
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f1683,f870,f848,f608,f448,f160,f131,f126,f118,f110,f4954]) ).

fof(f4954,plain,
    ( spl2_127
  <=> zero = multiplication(antidomain(antidomain(sK1)),coantidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_127])]) ).

fof(f1683,plain,
    ( zero = multiplication(antidomain(antidomain(sK1)),coantidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_9
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1682,f1270]) ).

fof(f1682,plain,
    ( zero = multiplication(antidomain(antidomain(sK1)),coantidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))
    | ~ spl2_8
    | ~ spl2_9
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f1647,f132]) ).

fof(f1647,plain,
    ( multiplication(antidomain(antidomain(sK1)),coantidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))) = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),coantidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))))
    | ~ spl2_8
    | ~ spl2_52 ),
    inference(superposition,[],[f871,f128]) ).

fof(f4868,plain,
    ( spl2_126
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_125 ),
    inference(avatar_split_clause,[],[f4863,f4859,f848,f608,f448,f160,f118,f110,f4865]) ).

fof(f4859,plain,
    ( spl2_125
  <=> zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_125])]) ).

fof(f4863,plain,
    ( zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(sK1)))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_125 ),
    inference(forward_demodulation,[],[f4861,f1270]) ).

fof(f4861,plain,
    ( zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))
    | ~ spl2_125 ),
    inference(avatar_component_clause,[],[f4859]) ).

fof(f4862,plain,
    ( spl2_125
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_40 ),
    inference(avatar_split_clause,[],[f813,f612,f135,f126,f4859]) ).

fof(f813,plain,
    ( zero = multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_40 ),
    inference(forward_demodulation,[],[f790,f136]) ).

fof(f790,plain,
    ( multiplication(antidomain(antidomain(sK1)),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))
    | ~ spl2_8
    | ~ spl2_40 ),
    inference(superposition,[],[f613,f128]) ).

fof(f4759,plain,
    ( spl2_124
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(avatar_split_clause,[],[f1334,f852,f848,f608,f448,f160,f135,f126,f118,f110,f4756]) ).

fof(f4756,plain,
    ( spl2_124
  <=> zero = multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(antidomain(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_124])]) ).

fof(f1334,plain,
    ( zero = multiplication(antidomain(multiplication(sK0,antidomain(antidomain(sK1)))),antidomain(antidomain(sK1)))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1333,f1270]) ).

fof(f1333,plain,
    ( zero = multiplication(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))),antidomain(antidomain(sK1)))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1332,f1270]) ).

fof(f1332,plain,
    ( zero = multiplication(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),antidomain(antidomain(sK1)))
    | ~ spl2_8
    | ~ spl2_10
    | ~ spl2_48 ),
    inference(forward_demodulation,[],[f1302,f136]) ).

fof(f1302,plain,
    ( multiplication(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),antidomain(antidomain(sK1))) = multiplication(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))))
    | ~ spl2_8
    | ~ spl2_48 ),
    inference(superposition,[],[f853,f128]) ).

fof(f4687,plain,
    ( spl2_123
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_122 ),
    inference(avatar_split_clause,[],[f4683,f4679,f848,f608,f448,f160,f118,f110,f4685]) ).

fof(f4685,plain,
    ( spl2_123
  <=> ! [X0,X3,X2,X1] :
        ( addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(X3)))))) = addition(antidomain(antidomain(X2)),addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(X3)))))))
        | addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),antidomain(antidomain(X3))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),antidomain(antidomain(X3)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_123])]) ).

fof(f4679,plain,
    ( spl2_122
  <=> ! [X0,X3,X2,X1] :
        ( addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2)))))))),antidomain(antidomain(X3))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2)))))))),antidomain(antidomain(X3))))
        | addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(antidomain(antidomain(X3)))))))) = addition(antidomain(antidomain(X2)),addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(antidomain(antidomain(X3))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_122])]) ).

fof(f4683,plain,
    ( ! [X2,X3,X0,X1] :
        ( addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(X3)))))) = addition(antidomain(antidomain(X2)),addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(X3)))))))
        | addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),antidomain(antidomain(X3))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),antidomain(antidomain(X3)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_122 ),
    inference(forward_demodulation,[],[f4682,f1270]) ).

fof(f4682,plain,
    ( ! [X2,X3,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),antidomain(antidomain(X3))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))),antidomain(antidomain(X3))))
        | addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(antidomain(antidomain(X3)))))))) = addition(antidomain(antidomain(X2)),addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(antidomain(antidomain(X3))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_122 ),
    inference(forward_demodulation,[],[f4680,f1270]) ).

fof(f4680,plain,
    ( ! [X2,X3,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2)))))))),antidomain(antidomain(X3))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2)))))))),antidomain(antidomain(X3))))
        | addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(antidomain(antidomain(X3)))))))) = addition(antidomain(antidomain(X2)),addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(antidomain(antidomain(X3))))))))) )
    | ~ spl2_122 ),
    inference(avatar_component_clause,[],[f4679]) ).

fof(f4681,plain,
    ( spl2_122
    | ~ spl2_15
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f379,f369,f172,f4679]) ).

fof(f369,plain,
    ( spl2_24
  <=> ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))))
        | addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f379,plain,
    ( ! [X2,X3,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2)))))))),antidomain(antidomain(X3))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2)))))))),antidomain(antidomain(X3))))
        | addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(antidomain(antidomain(X3)))))))) = addition(antidomain(antidomain(X2)),addition(divergence(multiplication(X0,X1)),antidomain(antidomain(multiplication(star(multiplication(X0,X1)),antidomain(antidomain(antidomain(antidomain(X3))))))))) )
    | ~ spl2_15
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f173]) ).

fof(f370,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f4630,plain,
    ( spl2_121
    | ~ spl2_14
    | ~ spl2_54
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f2382,f1753,f1709,f160,f4628]) ).

fof(f4628,plain,
    ( spl2_121
  <=> ! [X0] : one = addition(one,multiplication(antidomain(antidomain(sK1)),antidomain(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_121])]) ).

fof(f2382,plain,
    ( ! [X0] : one = addition(one,multiplication(antidomain(antidomain(sK1)),antidomain(X0)))
    | ~ spl2_14
    | ~ spl2_54
    | ~ spl2_60 ),
    inference(forward_demodulation,[],[f2366,f161]) ).

fof(f2366,plain,
    ( ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(one,multiplication(antidomain(antidomain(sK1)),antidomain(X0)))
    | ~ spl2_54
    | ~ spl2_60 ),
    inference(superposition,[],[f1710,f1754]) ).

fof(f4626,plain,
    ( spl2_120
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_119 ),
    inference(avatar_split_clause,[],[f4622,f4617,f848,f608,f448,f160,f118,f110,f4624]) ).

fof(f4624,plain,
    ( spl2_120
  <=> ! [X0,X1] :
        ( addition(divergence(antidomain(X0)),antidomain(antidomain(multiplication(star(antidomain(X0)),antidomain(antidomain(X1)))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(X0)),antidomain(antidomain(multiplication(star(antidomain(X0)),antidomain(antidomain(X1)))))))
        | addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_120])]) ).

fof(f4617,plain,
    ( spl2_119
  <=> ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0))))
        | addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_119])]) ).

fof(f4622,plain,
    ( ! [X0,X1] :
        ( addition(divergence(antidomain(X0)),antidomain(antidomain(multiplication(star(antidomain(X0)),antidomain(antidomain(X1)))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(X0)),antidomain(antidomain(multiplication(star(antidomain(X0)),antidomain(antidomain(X1)))))))
        | addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_119 ),
    inference(forward_demodulation,[],[f4621,f1270]) ).

fof(f4621,plain,
    ( ! [X0,X1] :
        ( addition(divergence(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(X1)))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(X1)))))))
        | addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_119 ),
    inference(forward_demodulation,[],[f4620,f1270]) ).

fof(f4620,plain,
    ( ! [X0,X1] :
        ( addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(X1)))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(X1)))))))
        | addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_119 ),
    inference(forward_demodulation,[],[f4618,f1270]) ).

fof(f4618,plain,
    ( ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0))))
        | addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_119 ),
    inference(avatar_component_clause,[],[f4617]) ).

fof(f4619,plain,
    ( spl2_119
    | ~ spl2_3
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_16
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f391,f369,f180,f176,f143,f135,f106,f4617]) ).

fof(f391,plain,
    ( ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0))))
        | addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_3
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_16
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f390,f214]) ).

fof(f214,plain,
    ( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1))
    | ~ spl2_11
    | ~ spl2_16 ),
    inference(superposition,[],[f177,f144]) ).

fof(f390,plain,
    ( ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(X1))))
        | addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_3
    | ~ spl2_10
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f381,f222]) ).

fof(f381,plain,
    ( ! [X0,X1] :
        ( addition(antidomain(antidomain(zero)),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(zero)),antidomain(antidomain(X1))))
        | addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(multiplication(star(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_10
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f136]) ).

fof(f4612,plain,
    ( spl2_118
    | ~ spl2_7
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f385,f369,f122,f4610]) ).

fof(f4610,plain,
    ( spl2_118
  <=> ! [X0,X1] :
        ( antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1))))))) != addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1))))))))
        | addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_118])]) ).

fof(f385,plain,
    ( ! [X0,X1] :
        ( antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1))))))) != addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1))))))))
        | addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))) )
    | ~ spl2_7
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f123]) ).

fof(f4531,plain,
    ( spl2_117
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_116 ),
    inference(avatar_split_clause,[],[f4527,f4523,f848,f608,f448,f160,f118,f110,f4529]) ).

fof(f4523,plain,
    ( spl2_116
  <=> ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1)))))))) != addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1)))))))))
        | addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X2))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_116])]) ).

fof(f4527,plain,
    ( ! [X2,X0,X1] :
        ( addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(X2)))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(X2)))))))
        | addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))) != addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_116 ),
    inference(forward_demodulation,[],[f4526,f1270]) ).

fof(f4526,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))) != addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))))
        | addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_116 ),
    inference(forward_demodulation,[],[f4524,f1270]) ).

fof(f4524,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1)))))))) != addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1)))))))))
        | addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_116 ),
    inference(avatar_component_clause,[],[f4523]) ).

fof(f4525,plain,
    ( spl2_116
    | ~ spl2_11
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f386,f369,f143,f4523]) ).

fof(f386,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1)))))))) != addition(antidomain(antidomain(X1)),addition(antidomain(antidomain(X2)),antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(X1)))))))))
        | addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X1)),addition(divergence(X0),antidomain(antidomain(multiplication(star(X0),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_11
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f144]) ).

fof(f4487,plain,
    ( spl2_115
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_114 ),
    inference(avatar_split_clause,[],[f4483,f4479,f848,f608,f448,f160,f118,f110,f4485]) ).

fof(f4485,plain,
    ( spl2_115
  <=> ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(divergence(X0)))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(divergence(X0)))))))
        | addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),antidomain(divergence(X0))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),antidomain(divergence(X0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_115])]) ).

fof(f4479,plain,
    ( spl2_114
  <=> ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(divergence(X0))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(divergence(X0))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(divergence(X0)))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(divergence(X0))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_114])]) ).

fof(f4483,plain,
    ( ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(divergence(X0)))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(divergence(X0)))))))
        | addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),antidomain(divergence(X0))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),antidomain(divergence(X0)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_114 ),
    inference(forward_demodulation,[],[f4482,f1270]) ).

fof(f4482,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),antidomain(divergence(X0))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),antidomain(divergence(X0))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(divergence(X0)))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(divergence(X0))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_114 ),
    inference(forward_demodulation,[],[f4480,f1270]) ).

fof(f4480,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(divergence(X0))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(divergence(X0))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(divergence(X0)))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(divergence(X0))))))))) )
    | ~ spl2_114 ),
    inference(avatar_component_clause,[],[f4479]) ).

fof(f4481,plain,
    ( spl2_114
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f382,f369,f180,f4479]) ).

fof(f382,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(divergence(X0))) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(divergence(X0))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(divergence(X0)))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(divergence(X0))))))))) )
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f181]) ).

fof(f4440,plain,
    ( spl2_113
    | ~ spl2_9
    | ~ spl2_51
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f2376,f1753,f866,f131,f4438]) ).

fof(f4438,plain,
    ( spl2_113
  <=> ! [X0] : zero = multiplication(multiplication(antidomain(antidomain(sK1)),X0),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_113])]) ).

fof(f2376,plain,
    ( ! [X0] : zero = multiplication(multiplication(antidomain(antidomain(sK1)),X0),coantidomain(X0))
    | ~ spl2_9
    | ~ spl2_51
    | ~ spl2_60 ),
    inference(forward_demodulation,[],[f2357,f132]) ).

fof(f2357,plain,
    ( ! [X0] : multiplication(X0,coantidomain(X0)) = multiplication(multiplication(antidomain(antidomain(sK1)),X0),coantidomain(X0))
    | ~ spl2_51
    | ~ spl2_60 ),
    inference(superposition,[],[f867,f1754]) ).

fof(f4436,plain,
    ( spl2_112
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_111 ),
    inference(avatar_split_clause,[],[f4432,f4428,f848,f608,f448,f160,f118,f110,f4434]) ).

fof(f4434,plain,
    ( spl2_112
  <=> ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(X2)))))) = addition(antidomain(divergence(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(X2)))))))
        | addition(antidomain(antidomain(multiplication(X1,antidomain(divergence(X0))))),antidomain(antidomain(X2))) != addition(antidomain(divergence(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(divergence(X0))))),antidomain(antidomain(X2)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_112])]) ).

fof(f4428,plain,
    ( spl2_111
  <=> ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(divergence(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(divergence(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_111])]) ).

fof(f4432,plain,
    ( ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(X2)))))) = addition(antidomain(divergence(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(X2)))))))
        | addition(antidomain(antidomain(multiplication(X1,antidomain(divergence(X0))))),antidomain(antidomain(X2))) != addition(antidomain(divergence(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(divergence(X0))))),antidomain(antidomain(X2)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_111 ),
    inference(forward_demodulation,[],[f4431,f1270]) ).

fof(f4431,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(divergence(X0))))),antidomain(antidomain(X2))) != addition(antidomain(divergence(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(divergence(X0))))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(divergence(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_111 ),
    inference(forward_demodulation,[],[f4429,f1270]) ).

fof(f4429,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(divergence(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(divergence(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_111 ),
    inference(avatar_component_clause,[],[f4428]) ).

fof(f4430,plain,
    ( spl2_111
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f376,f369,f180,f4428]) ).

fof(f376,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(divergence(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(divergence(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f181]) ).

fof(f4392,plain,
    ( spl2_110
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_109 ),
    inference(avatar_split_clause,[],[f4388,f4384,f848,f608,f465,f448,f160,f118,f110,f4390]) ).

fof(f4390,plain,
    ( spl2_110
  <=> ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),divergence(X0))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),divergence(X0))))))
        | addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),divergence(X0)) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),divergence(X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_110])]) ).

fof(f4384,plain,
    ( spl2_109
  <=> ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),divergence(X0)) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),divergence(X0)))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0)))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_109])]) ).

fof(f4388,plain,
    ( ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),divergence(X0))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),divergence(X0))))))
        | addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),divergence(X0)) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),divergence(X0))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_109 ),
    inference(forward_demodulation,[],[f4387,f1273]) ).

fof(f4387,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),divergence(X0)) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),divergence(X0)))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0)))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_109 ),
    inference(forward_demodulation,[],[f4385,f1270]) ).

fof(f4385,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),divergence(X0)) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),divergence(X0)))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0)))))))) )
    | ~ spl2_109 ),
    inference(avatar_component_clause,[],[f4384]) ).

fof(f4386,plain,
    ( spl2_109
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f383,f369,f180,f4384]) ).

fof(f383,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),divergence(X0)) != addition(antidomain(antidomain(X2)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X2))))))),divergence(X0)))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0))))))) = addition(antidomain(antidomain(X2)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(divergence(X0)))))))) )
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f181]) ).

fof(f4326,plain,
    ( spl2_108
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_107 ),
    inference(avatar_split_clause,[],[f4322,f4317,f848,f608,f448,f160,f118,f110,f4324]) ).

fof(f4324,plain,
    ( spl2_108
  <=> ! [X0,X1] :
        ( addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(X1)))))) = addition(antidomain(antidomain(X0)),addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(X1)))))))
        | addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(X0)),antidomain(antidomain(X1)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_108])]) ).

fof(f4317,plain,
    ( spl2_107
  <=> ! [X0,X1] :
        ( addition(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(X1))))
        | addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_107])]) ).

fof(f4322,plain,
    ( ! [X0,X1] :
        ( addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(X1)))))) = addition(antidomain(antidomain(X0)),addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(X1)))))))
        | addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(X0)),antidomain(antidomain(X1)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_107 ),
    inference(forward_demodulation,[],[f4321,f1270]) ).

fof(f4321,plain,
    ( ! [X0,X1] :
        ( addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(X0)),antidomain(antidomain(X1))))
        | addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_107 ),
    inference(forward_demodulation,[],[f4320,f1270]) ).

fof(f4320,plain,
    ( ! [X0,X1] :
        ( addition(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(X1))))
        | addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_107 ),
    inference(forward_demodulation,[],[f4318,f1270]) ).

fof(f4318,plain,
    ( ! [X0,X1] :
        ( addition(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(X1))))
        | addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_107 ),
    inference(avatar_component_clause,[],[f4317]) ).

fof(f4319,plain,
    ( spl2_107
    | ~ spl2_6
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f380,f369,f118,f4317]) ).

fof(f380,plain,
    ( ! [X0,X1] :
        ( addition(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(X0)))))),antidomain(antidomain(X1))))
        | addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(one),antidomain(antidomain(multiplication(star(one),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_6
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f119]) ).

fof(f4283,plain,
    ( spl2_106
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_104 ),
    inference(avatar_split_clause,[],[f4275,f4271,f848,f608,f465,f448,f160,f118,f110,f4281]) ).

fof(f4281,plain,
    ( spl2_106
  <=> ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(X2)))))) = addition(divergence(X0),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(X2)))))))
        | addition(antidomain(antidomain(multiplication(X1,divergence(X0)))),antidomain(antidomain(X2))) != addition(divergence(X0),addition(antidomain(antidomain(multiplication(X1,divergence(X0)))),antidomain(antidomain(X2)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_106])]) ).

fof(f4271,plain,
    ( spl2_104
  <=> ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(X2))) != addition(divergence(X0),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(divergence(X0),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_104])]) ).

fof(f4275,plain,
    ( ! [X2,X0,X1] :
        ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(X2)))))) = addition(divergence(X0),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(X2)))))))
        | addition(antidomain(antidomain(multiplication(X1,divergence(X0)))),antidomain(antidomain(X2))) != addition(divergence(X0),addition(antidomain(antidomain(multiplication(X1,divergence(X0)))),antidomain(antidomain(X2)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_104 ),
    inference(forward_demodulation,[],[f4274,f1270]) ).

fof(f4274,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,divergence(X0)))),antidomain(antidomain(X2))) != addition(divergence(X0),addition(antidomain(antidomain(multiplication(X1,divergence(X0)))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(divergence(X0),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_104 ),
    inference(forward_demodulation,[],[f4272,f1273]) ).

fof(f4272,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(X2))) != addition(divergence(X0),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(divergence(X0),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_104 ),
    inference(avatar_component_clause,[],[f4271]) ).

fof(f4279,plain,
    ( spl2_105
    | ~ spl2_10
    | ~ spl2_47
    | ~ spl2_60 ),
    inference(avatar_split_clause,[],[f2375,f1753,f848,f135,f4277]) ).

fof(f4277,plain,
    ( spl2_105
  <=> ! [X0] : zero = multiplication(antidomain(X0),multiplication(antidomain(antidomain(sK1)),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_105])]) ).

fof(f2375,plain,
    ( ! [X0] : zero = multiplication(antidomain(X0),multiplication(antidomain(antidomain(sK1)),X0))
    | ~ spl2_10
    | ~ spl2_47
    | ~ spl2_60 ),
    inference(forward_demodulation,[],[f2356,f136]) ).

fof(f2356,plain,
    ( ! [X0] : multiplication(antidomain(X0),X0) = multiplication(antidomain(X0),multiplication(antidomain(antidomain(sK1)),X0))
    | ~ spl2_47
    | ~ spl2_60 ),
    inference(superposition,[],[f849,f1754]) ).

fof(f4273,plain,
    ( spl2_104
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f377,f369,f180,f4271]) ).

fof(f377,plain,
    ( ! [X2,X0,X1] :
        ( addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(X2))) != addition(divergence(X0),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(X2))))
        | addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(divergence(X0),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2))))))))) )
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f181]) ).

fof(f4224,plain,
    ( spl2_103
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_102 ),
    inference(avatar_split_clause,[],[f4220,f4217,f848,f608,f448,f160,f118,f110,f4222]) ).

fof(f4222,plain,
    ( spl2_103
  <=> ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(X1)))))) = addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(X1)))))))
        | addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_103])]) ).

fof(f4217,plain,
    ( spl2_102
  <=> ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0))))
        | addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_102])]) ).

fof(f4220,plain,
    ( ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(X1)))))) = addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(X1)))))))
        | addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0)))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_102 ),
    inference(forward_demodulation,[],[f4218,f1270]) ).

fof(f4218,plain,
    ( ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0))))
        | addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_102 ),
    inference(avatar_component_clause,[],[f4217]) ).

fof(f4219,plain,
    ( spl2_102
    | ~ spl2_3
    | ~ spl2_11
    | ~ spl2_16
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f389,f369,f180,f176,f143,f106,f4217]) ).

fof(f389,plain,
    ( ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(X1))) != addition(divergence(zero),addition(antidomain(antidomain(X1)),antidomain(antidomain(X0))))
        | addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_3
    | ~ spl2_11
    | ~ spl2_16
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f388,f214]) ).

fof(f388,plain,
    ( ! [X0,X1] :
        ( addition(divergence(zero),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(X1))))
        | addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_3
    | ~ spl2_17
    | ~ spl2_24 ),
    inference(forward_demodulation,[],[f378,f222]) ).

fof(f378,plain,
    ( ! [X0,X1] :
        ( addition(antidomain(antidomain(zero)),antidomain(antidomain(X1))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(zero)),antidomain(antidomain(X1))))
        | addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(zero),antidomain(antidomain(multiplication(star(zero),antidomain(antidomain(antidomain(antidomain(X1))))))))) )
    | ~ spl2_3
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f107]) ).

fof(f4201,plain,
    ( spl2_101
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_100 ),
    inference(avatar_split_clause,[],[f4197,f4190,f848,f608,f448,f160,f118,f110,f4199]) ).

fof(f4190,plain,
    ( spl2_100
  <=> ! [X0] :
        ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))
        | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))))))))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_100])]) ).

fof(f4197,plain,
    ( ! [X0] :
        ( addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))))))
        | antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_100 ),
    inference(forward_demodulation,[],[f4196,f1270]) ).

fof(f4196,plain,
    ( ! [X0] :
        ( addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))
        | antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_100 ),
    inference(forward_demodulation,[],[f4195,f1270]) ).

fof(f4195,plain,
    ( ! [X0] :
        ( addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))))
        | antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0))))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_100 ),
    inference(forward_demodulation,[],[f4194,f1270]) ).

fof(f4194,plain,
    ( ! [X0] :
        ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))))
        | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_100 ),
    inference(forward_demodulation,[],[f4193,f1270]) ).

fof(f4193,plain,
    ( ! [X0] :
        ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))
        | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))))))))) )
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_100 ),
    inference(forward_demodulation,[],[f4191,f1270]) ).

fof(f4191,plain,
    ( ! [X0] :
        ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))
        | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))))))))) )
    | ~ spl2_100 ),
    inference(avatar_component_clause,[],[f4190]) ).

fof(f4192,plain,
    ( spl2_100
    | ~ spl2_21
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f384,f369,f316,f4190]) ).

fof(f384,plain,
    ( ! [X0] :
        ( antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))) != addition(antidomain(antidomain(X0)),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))
        | addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))))))))) = addition(antidomain(antidomain(X0)),addition(divergence(sK0),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))))))))))))))))) )
    | ~ spl2_21
    | ~ spl2_24 ),
    inference(superposition,[],[f370,f317]) ).

fof(f3942,plain,
    ( spl2_99
    | ~ spl2_15
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f363,f327,f172,f3940]) ).

fof(f3940,plain,
    ( spl2_99
  <=> ! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(X0,multiplication(X1,X2))),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_99])]) ).

fof(f327,plain,
    ( spl2_23
  <=> ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f363,plain,
    ( ! [X2,X0,X1] : antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))) = addition(antidomain(multiplication(X0,multiplication(X1,X2))),antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(X2))))))
    | ~ spl2_15
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f350,f173]) ).

fof(f350,plain,
    ( ! [X2,X0,X1] : antidomain(multiplication(multiplication(X0,X1),antidomain(antidomain(X2)))) = addition(antidomain(multiplication(X0,multiplication(X1,X2))),antidomain(multiplication(multiplication(X0,X1),antidomain(antidomain(X2)))))
    | ~ spl2_15
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f173]) ).

fof(f328,plain,
    ( ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1)))))
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f3938,plain,
    ( spl2_98
    | ~ spl2_12
    | ~ spl2_53
    | ~ spl2_55 ),
    inference(avatar_split_clause,[],[f1982,f1713,f1443,f151,f3936]) ).

fof(f3936,plain,
    ( spl2_98
  <=> ! [X0] : one = addition(one,multiplication(coantidomain(X0),antidomain(antidomain(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_98])]) ).

fof(f1443,plain,
    ( spl2_53
  <=> ! [X0] : addition(X0,multiplication(X0,antidomain(antidomain(sK1)))) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).

fof(f1982,plain,
    ( ! [X0] : one = addition(one,multiplication(coantidomain(X0),antidomain(antidomain(sK1))))
    | ~ spl2_12
    | ~ spl2_53
    | ~ spl2_55 ),
    inference(forward_demodulation,[],[f1965,f152]) ).

fof(f1965,plain,
    ( ! [X0] : addition(coantidomain(coantidomain(X0)),coantidomain(X0)) = addition(one,multiplication(coantidomain(X0),antidomain(antidomain(sK1))))
    | ~ spl2_53
    | ~ spl2_55 ),
    inference(superposition,[],[f1714,f1444]) ).

fof(f1444,plain,
    ( ! [X0] : addition(X0,multiplication(X0,antidomain(antidomain(sK1)))) = X0
    | ~ spl2_53 ),
    inference(avatar_component_clause,[],[f1443]) ).

fof(f3882,plain,
    ( spl2_97
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_96 ),
    inference(avatar_split_clause,[],[f3878,f3875,f848,f608,f465,f448,f118,f110,f3880]) ).

fof(f3880,plain,
    ( spl2_97
  <=> ! [X0,X1] : antidomain(multiplication(X1,antidomain(divergence(X0)))) = addition(antidomain(multiplication(X1,antidomain(multiplication(X0,divergence(X0))))),antidomain(multiplication(X1,antidomain(divergence(X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_97])]) ).

fof(f3875,plain,
    ( spl2_96
  <=> ! [X0,X1] : antidomain(multiplication(X1,antidomain(divergence(X0)))) = addition(antidomain(multiplication(X1,antidomain(multiplication(X0,antidomain(antidomain(divergence(X0))))))),antidomain(multiplication(X1,antidomain(divergence(X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_96])]) ).

fof(f3878,plain,
    ( ! [X0,X1] : antidomain(multiplication(X1,antidomain(divergence(X0)))) = addition(antidomain(multiplication(X1,antidomain(multiplication(X0,divergence(X0))))),antidomain(multiplication(X1,antidomain(divergence(X0)))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_96 ),
    inference(forward_demodulation,[],[f3876,f1273]) ).

fof(f3876,plain,
    ( ! [X0,X1] : antidomain(multiplication(X1,antidomain(divergence(X0)))) = addition(antidomain(multiplication(X1,antidomain(multiplication(X0,antidomain(antidomain(divergence(X0))))))),antidomain(multiplication(X1,antidomain(divergence(X0)))))
    | ~ spl2_96 ),
    inference(avatar_component_clause,[],[f3875]) ).

fof(f3877,plain,
    ( spl2_96
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f353,f327,f180,f3875]) ).

fof(f353,plain,
    ( ! [X0,X1] : antidomain(multiplication(X1,antidomain(divergence(X0)))) = addition(antidomain(multiplication(X1,antidomain(multiplication(X0,antidomain(antidomain(divergence(X0))))))),antidomain(multiplication(X1,antidomain(divergence(X0)))))
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f181]) ).

fof(f3873,plain,
    ( spl2_95
    | ~ spl2_15
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f334,f323,f172,f3871]) ).

fof(f3871,plain,
    ( spl2_95
  <=> ! [X2,X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(multiplication(X0,X1))),X2)) = addition(coantidomain(multiplication(X0,multiplication(X1,X2))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X0,X1))),X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_95])]) ).

fof(f323,plain,
    ( spl2_22
  <=> ! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f334,plain,
    ( ! [X2,X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(multiplication(X0,X1))),X2)) = addition(coantidomain(multiplication(X0,multiplication(X1,X2))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X0,X1))),X2)))
    | ~ spl2_15
    | ~ spl2_22 ),
    inference(superposition,[],[f324,f173]) ).

fof(f324,plain,
    ( ! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)))
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f3679,plain,
    ( spl2_94
    | ~ spl2_16
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f359,f327,f176,f3677]) ).

fof(f3677,plain,
    ( spl2_94
  <=> ! [X2,X0,X1] : addition(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X2) = addition(antidomain(multiplication(X0,X1)),addition(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_94])]) ).

fof(f359,plain,
    ( ! [X2,X0,X1] : addition(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X2) = addition(antidomain(multiplication(X0,X1)),addition(antidomain(multiplication(X0,antidomain(antidomain(X1)))),X2))
    | ~ spl2_16
    | ~ spl2_23 ),
    inference(superposition,[],[f177,f328]) ).

fof(f3675,plain,
    ( spl2_93
    | ~ spl2_16
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f340,f323,f176,f3673]) ).

fof(f3673,plain,
    ( spl2_93
  <=> ! [X2,X0,X1] : addition(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),X2) = addition(coantidomain(multiplication(X0,X1)),addition(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_93])]) ).

fof(f340,plain,
    ( ! [X2,X0,X1] : addition(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),X2) = addition(coantidomain(multiplication(X0,X1)),addition(coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)),X2))
    | ~ spl2_16
    | ~ spl2_22 ),
    inference(superposition,[],[f177,f324]) ).

fof(f3630,plain,
    ( spl2_92
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_90 ),
    inference(avatar_split_clause,[],[f3622,f3619,f848,f608,f465,f448,f118,f110,f3628]) ).

fof(f3628,plain,
    ( spl2_92
  <=> ! [X0,X1] : antidomain(multiplication(X1,divergence(X0))) = addition(antidomain(multiplication(X1,multiplication(X0,divergence(X0)))),antidomain(multiplication(X1,divergence(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_92])]) ).

fof(f3619,plain,
    ( spl2_90
  <=> ! [X0,X1] : antidomain(multiplication(X1,divergence(X0))) = addition(antidomain(multiplication(X1,multiplication(X0,antidomain(antidomain(divergence(X0)))))),antidomain(multiplication(X1,divergence(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_90])]) ).

fof(f3622,plain,
    ( ! [X0,X1] : antidomain(multiplication(X1,divergence(X0))) = addition(antidomain(multiplication(X1,multiplication(X0,divergence(X0)))),antidomain(multiplication(X1,divergence(X0))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_90 ),
    inference(forward_demodulation,[],[f3620,f1273]) ).

fof(f3620,plain,
    ( ! [X0,X1] : antidomain(multiplication(X1,divergence(X0))) = addition(antidomain(multiplication(X1,multiplication(X0,antidomain(antidomain(divergence(X0)))))),antidomain(multiplication(X1,divergence(X0))))
    | ~ spl2_90 ),
    inference(avatar_component_clause,[],[f3619]) ).

fof(f3626,plain,
    ( spl2_91
    | ~ spl2_10
    | ~ spl2_39
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f1981,f1443,f608,f135,f3624]) ).

fof(f3624,plain,
    ( spl2_91
  <=> ! [X0] : zero = multiplication(multiplication(antidomain(X0),antidomain(antidomain(sK1))),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_91])]) ).

fof(f1981,plain,
    ( ! [X0] : zero = multiplication(multiplication(antidomain(X0),antidomain(antidomain(sK1))),X0)
    | ~ spl2_10
    | ~ spl2_39
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f1964,f136]) ).

fof(f1964,plain,
    ( ! [X0] : multiplication(antidomain(X0),X0) = multiplication(multiplication(antidomain(X0),antidomain(antidomain(sK1))),X0)
    | ~ spl2_39
    | ~ spl2_53 ),
    inference(superposition,[],[f609,f1444]) ).

fof(f3621,plain,
    ( spl2_90
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f354,f327,f180,f3619]) ).

fof(f354,plain,
    ( ! [X0,X1] : antidomain(multiplication(X1,divergence(X0))) = addition(antidomain(multiplication(X1,multiplication(X0,antidomain(antidomain(divergence(X0)))))),antidomain(multiplication(X1,divergence(X0))))
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f181]) ).

fof(f3407,plain,
    ( spl2_89
    | ~ spl2_15
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f267,f229,f172,f3405]) ).

fof(f3405,plain,
    ( spl2_89
  <=> ! [X0,X3,X2,X1] : addition(multiplication(X0,multiplication(X1,X2)),multiplication(X0,multiplication(X1,X3))) = multiplication(X0,multiplication(X1,addition(X2,X3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_89])]) ).

fof(f267,plain,
    ( ! [X2,X3,X0,X1] : addition(multiplication(X0,multiplication(X1,X2)),multiplication(X0,multiplication(X1,X3))) = multiplication(X0,multiplication(X1,addition(X2,X3)))
    | ~ spl2_15
    | ~ spl2_18 ),
    inference(forward_demodulation,[],[f266,f173]) ).

fof(f266,plain,
    ( ! [X2,X3,X0,X1] : multiplication(multiplication(X0,X1),addition(X2,X3)) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(X0,multiplication(X1,X3)))
    | ~ spl2_15
    | ~ spl2_18 ),
    inference(forward_demodulation,[],[f245,f173]) ).

fof(f245,plain,
    ( ! [X2,X3,X0,X1] : multiplication(multiplication(X0,X1),addition(X2,X3)) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(multiplication(X0,X1),X3))
    | ~ spl2_15
    | ~ spl2_18 ),
    inference(superposition,[],[f230,f173]) ).

fof(f3313,plain,
    ( spl2_88
    | ~ spl2_10
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f352,f327,f135,f3311]) ).

fof(f352,plain,
    ( ! [X0] : antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))) = addition(antidomain(zero),antidomain(multiplication(antidomain(X0),antidomain(antidomain(X0)))))
    | ~ spl2_10
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f136]) ).

fof(f3309,plain,
    ( spl2_87
    | ~ spl2_9
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f348,f327,f131,f3307]) ).

fof(f348,plain,
    ( ! [X0] : antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))) = addition(antidomain(zero),antidomain(multiplication(X0,antidomain(antidomain(coantidomain(X0))))))
    | ~ spl2_9
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f132]) ).

fof(f3305,plain,
    ( spl2_86
    | ~ spl2_10
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f336,f323,f135,f3303]) ).

fof(f336,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(antidomain(X0))),X0)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X0))),X0)))
    | ~ spl2_10
    | ~ spl2_22 ),
    inference(superposition,[],[f324,f136]) ).

fof(f3301,plain,
    ( spl2_85
    | ~ spl2_14
    | ~ spl2_53
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f1980,f1709,f1443,f160,f3299]) ).

fof(f3299,plain,
    ( spl2_85
  <=> ! [X0] : one = addition(one,multiplication(antidomain(X0),antidomain(antidomain(sK1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_85])]) ).

fof(f1980,plain,
    ( ! [X0] : one = addition(one,multiplication(antidomain(X0),antidomain(antidomain(sK1))))
    | ~ spl2_14
    | ~ spl2_53
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f1963,f161]) ).

fof(f1963,plain,
    ( ! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(one,multiplication(antidomain(X0),antidomain(antidomain(sK1))))
    | ~ spl2_53
    | ~ spl2_54 ),
    inference(superposition,[],[f1710,f1444]) ).

fof(f3297,plain,
    ( spl2_84
    | ~ spl2_9
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f332,f323,f131,f3295]) ).

fof(f332,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0))) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(X0)),coantidomain(X0))))
    | ~ spl2_9
    | ~ spl2_22 ),
    inference(superposition,[],[f324,f132]) ).

fof(f2610,plain,
    ( spl2_83
    | ~ spl2_16
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f298,f238,f176,f2608]) ).

fof(f2608,plain,
    ( spl2_83
  <=> ! [X0,X3,X2,X1] : addition(multiplication(X0,X1),addition(multiplication(X2,X1),X3)) = addition(multiplication(addition(X0,X2),X1),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_83])]) ).

fof(f298,plain,
    ( ! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X2,X1),X3)) = addition(multiplication(addition(X0,X2),X1),X3)
    | ~ spl2_16
    | ~ spl2_20 ),
    inference(superposition,[],[f177,f239]) ).

fof(f2606,plain,
    ( spl2_82
    | ~ spl2_15
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f289,f238,f172,f2604]) ).

fof(f2604,plain,
    ( spl2_82
  <=> ! [X0,X3,X2,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_82])]) ).

fof(f289,plain,
    ( ! [X2,X3,X0,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2)))
    | ~ spl2_15
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f173]) ).

fof(f2602,plain,
    ( spl2_81
    | ~ spl2_15
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f282,f238,f172,f2600]) ).

fof(f2600,plain,
    ( spl2_81
  <=> ! [X0,X3,X2,X1] : multiplication(addition(multiplication(X0,X1),X3),X2) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(X3,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).

fof(f282,plain,
    ( ! [X2,X3,X0,X1] : multiplication(addition(multiplication(X0,X1),X3),X2) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(X3,X2))
    | ~ spl2_15
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f173]) ).

fof(f2598,plain,
    ( spl2_80
    | ~ spl2_16
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f259,f229,f176,f2596]) ).

fof(f2596,plain,
    ( spl2_80
  <=> ! [X0,X3,X2,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_80])]) ).

fof(f259,plain,
    ( ! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3)
    | ~ spl2_16
    | ~ spl2_18 ),
    inference(superposition,[],[f177,f230]) ).

fof(f2506,plain,
    ( spl2_79
    | ~ spl2_9
    | ~ spl2_51
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f1974,f1443,f866,f131,f2504]) ).

fof(f2504,plain,
    ( spl2_79
  <=> ! [X0] : zero = multiplication(multiplication(X0,antidomain(antidomain(sK1))),coantidomain(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_79])]) ).

fof(f1974,plain,
    ( ! [X0] : zero = multiplication(multiplication(X0,antidomain(antidomain(sK1))),coantidomain(X0))
    | ~ spl2_9
    | ~ spl2_51
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f1955,f132]) ).

fof(f1955,plain,
    ( ! [X0] : multiplication(X0,coantidomain(X0)) = multiplication(multiplication(X0,antidomain(antidomain(sK1))),coantidomain(X0))
    | ~ spl2_51
    | ~ spl2_53 ),
    inference(superposition,[],[f867,f1444]) ).

fof(f2502,plain,
    ( spl2_78
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_77 ),
    inference(avatar_split_clause,[],[f2498,f2495,f848,f608,f465,f448,f118,f110,f2500]) ).

fof(f2495,plain,
    ( spl2_77
  <=> ! [X0,X1] : divergence(multiplication(X0,X1)) = antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(divergence(multiplication(X0,X1)))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_77])]) ).

fof(f2498,plain,
    ( ! [X0,X1] : divergence(multiplication(X0,X1)) = antidomain(antidomain(multiplication(X0,multiplication(X1,divergence(multiplication(X0,X1))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_77 ),
    inference(forward_demodulation,[],[f2496,f1273]) ).

fof(f2496,plain,
    ( ! [X0,X1] : divergence(multiplication(X0,X1)) = antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(divergence(multiplication(X0,X1))))))))
    | ~ spl2_77 ),
    inference(avatar_component_clause,[],[f2495]) ).

fof(f2497,plain,
    ( spl2_77
    | ~ spl2_15
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f223,f180,f172,f2495]) ).

fof(f223,plain,
    ( ! [X0,X1] : divergence(multiplication(X0,X1)) = antidomain(antidomain(multiplication(X0,multiplication(X1,antidomain(antidomain(divergence(multiplication(X0,X1))))))))
    | ~ spl2_15
    | ~ spl2_17 ),
    inference(superposition,[],[f181,f173]) ).

fof(f2471,plain,
    ( spl2_76
    | ~ spl2_3
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f333,f323,f106,f2469]) ).

fof(f333,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)))
    | ~ spl2_3
    | ~ spl2_22 ),
    inference(superposition,[],[f324,f107]) ).

fof(f2420,plain,
    ( spl2_75
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_74 ),
    inference(avatar_split_clause,[],[f2416,f2412,f848,f608,f448,f160,f118,f110,f2418]) ).

fof(f2412,plain,
    ( spl2_74
  <=> ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_74])]) ).

fof(f2416,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(X0))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(X0)),antidomain(multiplication(sK0,antidomain(antidomain(X0)))))))))),X1))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_74 ),
    inference(forward_demodulation,[],[f2415,f1270]) ).

fof(f2415,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))),X1))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_74 ),
    inference(forward_demodulation,[],[f2413,f1270]) ).

fof(f2413,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),X1))
    | ~ spl2_74 ),
    inference(avatar_component_clause,[],[f2412]) ).

fof(f2414,plain,
    ( spl2_74
    | ~ spl2_16
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f321,f316,f176,f2412]) ).

fof(f321,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),X1) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0))))))),addition(antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X0)))))))))))))),X1))
    | ~ spl2_16
    | ~ spl2_21 ),
    inference(superposition,[],[f177,f317]) ).

fof(f2395,plain,
    ( spl2_73
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_72 ),
    inference(avatar_split_clause,[],[f2391,f2387,f848,f608,f448,f160,f118,f110,f2393]) ).

fof(f2387,plain,
    ( spl2_72
  <=> ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(divergence(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(divergence(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0))))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_72])]) ).

fof(f2391,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(divergence(X0))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(divergence(X0)),antidomain(multiplication(sK0,antidomain(divergence(X0)))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_72 ),
    inference(forward_demodulation,[],[f2390,f1270]) ).

fof(f2390,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(divergence(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0)))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(divergence(X0)))),antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0)))))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_72 ),
    inference(forward_demodulation,[],[f2388,f1270]) ).

fof(f2388,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(divergence(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(divergence(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0)))))))))))))))
    | ~ spl2_72 ),
    inference(avatar_component_clause,[],[f2387]) ).

fof(f2389,plain,
    ( spl2_72
    | ~ spl2_17
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f319,f316,f180,f2387]) ).

fof(f319,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(divergence(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(divergence(X0)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(divergence(X0)))))))))))))))
    | ~ spl2_17
    | ~ spl2_21 ),
    inference(superposition,[],[f317,f181]) ).

fof(f2252,plain,
    ( spl2_71
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f361,f327,f233,f110,f2250]) ).

fof(f361,plain,
    ( ! [X0] : antidomain(multiplication(X0,antidomain(zero))) = addition(antidomain(X0),antidomain(multiplication(X0,antidomain(zero))))
    | ~ spl2_4
    | ~ spl2_19
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f347,f235]) ).

fof(f347,plain,
    ( ! [X0] : antidomain(multiplication(X0,antidomain(antidomain(one)))) = addition(antidomain(X0),antidomain(multiplication(X0,antidomain(antidomain(one)))))
    | ~ spl2_4
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f111]) ).

fof(f2248,plain,
    ( spl2_70
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f360,f327,f180,f106,f102,f2246]) ).

fof(f360,plain,
    ( ! [X0] : antidomain(multiplication(X0,divergence(zero))) = addition(antidomain(zero),antidomain(multiplication(X0,divergence(zero))))
    | ~ spl2_2
    | ~ spl2_3
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f346,f222]) ).

fof(f346,plain,
    ( ! [X0] : antidomain(multiplication(X0,antidomain(antidomain(zero)))) = addition(antidomain(zero),antidomain(multiplication(X0,antidomain(antidomain(zero)))))
    | ~ spl2_2
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f103]) ).

fof(f2244,plain,
    ( spl2_69
    | ~ spl2_6
    | ~ spl2_13
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f343,f323,f155,f118,f2242]) ).

fof(f343,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(zero),X0)) = addition(coantidomain(X0),coantidomain(multiplication(coantidomain(zero),X0)))
    | ~ spl2_6
    | ~ spl2_13
    | ~ spl2_22 ),
    inference(forward_demodulation,[],[f335,f157]) ).

fof(f335,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(one)),X0)) = addition(coantidomain(X0),coantidomain(multiplication(coantidomain(coantidomain(one)),X0)))
    | ~ spl2_6
    | ~ spl2_22 ),
    inference(superposition,[],[f324,f119]) ).

fof(f1993,plain,
    ( spl2_68
    | ~ spl2_10
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f358,f327,f135,f1991]) ).

fof(f1991,plain,
    ( spl2_68
  <=> ! [X0] : antidomain(zero) = addition(antidomain(multiplication(antidomain(antidomain(antidomain(X0))),X0)),antidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_68])]) ).

fof(f358,plain,
    ( ! [X0] : antidomain(zero) = addition(antidomain(multiplication(antidomain(antidomain(antidomain(X0))),X0)),antidomain(zero))
    | ~ spl2_10
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f136]) ).

fof(f1987,plain,
    ( spl2_67
    | ~ spl2_9
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f339,f323,f131,f1985]) ).

fof(f1985,plain,
    ( spl2_67
  <=> ! [X0] : coantidomain(zero) = addition(coantidomain(multiplication(X0,coantidomain(coantidomain(coantidomain(X0))))),coantidomain(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_67])]) ).

fof(f339,plain,
    ( ! [X0] : coantidomain(zero) = addition(coantidomain(multiplication(X0,coantidomain(coantidomain(coantidomain(X0))))),coantidomain(zero))
    | ~ spl2_9
    | ~ spl2_22 ),
    inference(superposition,[],[f324,f132]) ).

fof(f1934,plain,
    ( spl2_66
    | ~ spl2_11
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f294,f238,f143,f1932]) ).

fof(f294,plain,
    ( ! [X2,X0,X1] : multiplication(addition(X0,X2),X1) = addition(multiplication(X2,X1),multiplication(X0,X1))
    | ~ spl2_11
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f144]) ).

fof(f1930,plain,
    ( spl2_65
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f256,f229,f143,f1928]) ).

fof(f256,plain,
    ( ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X2),multiplication(X0,X1))
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(superposition,[],[f230,f144]) ).

fof(f1909,plain,
    ( spl2_64
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_63 ),
    inference(avatar_split_clause,[],[f1905,f1901,f848,f608,f465,f448,f160,f118,f110,f1907]) ).

fof(f1901,plain,
    ( spl2_63
  <=> ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_63])]) ).

fof(f1905,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))) = addition(antidomain(antidomain(multiplication(sK0,divergence(X0)))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(divergence(X0),antidomain(multiplication(sK0,divergence(X0))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_63 ),
    inference(forward_demodulation,[],[f1904,f1273]) ).

fof(f1904,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_14
    | ~ spl2_29
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_63 ),
    inference(forward_demodulation,[],[f1902,f1270]) ).

fof(f1902,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))))
    | ~ spl2_63 ),
    inference(avatar_component_clause,[],[f1901]) ).

fof(f1903,plain,
    ( spl2_63
    | ~ spl2_17
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f320,f316,f180,f1901]) ).

fof(f320,plain,
    ( ! [X0] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X0))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0))))))))))))))
    | ~ spl2_17
    | ~ spl2_21 ),
    inference(superposition,[],[f317,f181]) ).

fof(f1793,plain,
    ( spl2_62
    | ~ spl2_6
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f364,f327,f118,f1791]) ).

fof(f1791,plain,
    ( spl2_62
  <=> ! [X0] : antidomain(antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(antidomain(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_62])]) ).

fof(f364,plain,
    ( ! [X0] : antidomain(antidomain(antidomain(X0))) = addition(antidomain(X0),antidomain(antidomain(antidomain(X0))))
    | ~ spl2_6
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f351,f119]) ).

fof(f351,plain,
    ( ! [X0] : antidomain(multiplication(one,antidomain(antidomain(X0)))) = addition(antidomain(X0),antidomain(multiplication(one,antidomain(antidomain(X0)))))
    | ~ spl2_6
    | ~ spl2_23 ),
    inference(superposition,[],[f328,f119]) ).

fof(f1788,plain,
    ( spl2_61
    | ~ spl2_4
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f342,f323,f110,f1786]) ).

fof(f1786,plain,
    ( spl2_61
  <=> ! [X0] : coantidomain(coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_61])]) ).

fof(f342,plain,
    ( ! [X0] : coantidomain(coantidomain(coantidomain(X0))) = addition(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0))))
    | ~ spl2_4
    | ~ spl2_22 ),
    inference(forward_demodulation,[],[f331,f111]) ).

fof(f331,plain,
    ( ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(X0)),one)) = addition(coantidomain(X0),coantidomain(multiplication(coantidomain(coantidomain(X0)),one)))
    | ~ spl2_4
    | ~ spl2_22 ),
    inference(superposition,[],[f324,f111]) ).

fof(f1755,plain,
    ( spl2_60
    | ~ spl2_6
    | ~ spl2_41
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f1416,f856,f739,f118,f1753]) ).

fof(f739,plain,
    ( spl2_41
  <=> one = addition(one,antidomain(antidomain(sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f1416,plain,
    ( ! [X0] : addition(X0,multiplication(antidomain(antidomain(sK1)),X0)) = X0
    | ~ spl2_6
    | ~ spl2_41
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f1356,f119]) ).

fof(f1356,plain,
    ( ! [X0] : multiplication(one,X0) = addition(X0,multiplication(antidomain(antidomain(sK1)),X0))
    | ~ spl2_41
    | ~ spl2_49 ),
    inference(superposition,[],[f857,f741]) ).

fof(f741,plain,
    ( one = addition(one,antidomain(antidomain(sK1)))
    | ~ spl2_41 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f1751,plain,
    ( spl2_59
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_58 ),
    inference(avatar_split_clause,[],[f1747,f1744,f848,f608,f465,f448,f118,f110,f1749]) ).

fof(f1744,plain,
    ( spl2_58
  <=> ! [X0] : zero = multiplication(divergence(X0),antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).

fof(f1747,plain,
    ( ! [X0] : zero = multiplication(divergence(X0),antidomain(multiplication(X0,divergence(X0))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f1745,f1273]) ).

fof(f1745,plain,
    ( ! [X0] : zero = multiplication(divergence(X0),antidomain(multiplication(X0,antidomain(antidomain(divergence(X0))))))
    | ~ spl2_58 ),
    inference(avatar_component_clause,[],[f1744]) ).

fof(f1746,plain,
    ( spl2_58
    | ~ spl2_10
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f227,f180,f135,f1744]) ).

fof(f227,plain,
    ( ! [X0] : zero = multiplication(divergence(X0),antidomain(multiplication(X0,antidomain(antidomain(divergence(X0))))))
    | ~ spl2_10
    | ~ spl2_17 ),
    inference(superposition,[],[f136,f181]) ).

fof(f1724,plain,
    ( spl2_57
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_56 ),
    inference(avatar_split_clause,[],[f1720,f1717,f848,f608,f465,f448,f118,f110,f1722]) ).

fof(f1717,plain,
    ( spl2_56
  <=> ! [X0] : one = addition(divergence(X0),antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).

fof(f1720,plain,
    ( ! [X0] : one = addition(divergence(X0),antidomain(multiplication(X0,divergence(X0))))
    | ~ spl2_4
    | ~ spl2_6
    | ~ spl2_29
    | ~ spl2_33
    | ~ spl2_39
    | ~ spl2_47
    | ~ spl2_56 ),
    inference(forward_demodulation,[],[f1718,f1273]) ).

fof(f1718,plain,
    ( ! [X0] : one = addition(divergence(X0),antidomain(multiplication(X0,antidomain(antidomain(divergence(X0))))))
    | ~ spl2_56 ),
    inference(avatar_component_clause,[],[f1717]) ).

fof(f1719,plain,
    ( spl2_56
    | ~ spl2_14
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f225,f180,f160,f1717]) ).

fof(f225,plain,
    ( ! [X0] : one = addition(divergence(X0),antidomain(multiplication(X0,antidomain(antidomain(divergence(X0))))))
    | ~ spl2_14
    | ~ spl2_17 ),
    inference(superposition,[],[f161,f181]) ).

fof(f1715,plain,
    ( spl2_55
    | ~ spl2_12
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f211,f176,f151,f1713]) ).

fof(f211,plain,
    ( ! [X0,X1] : addition(one,X1) = addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1))
    | ~ spl2_12
    | ~ spl2_16 ),
    inference(superposition,[],[f177,f152]) ).

fof(f1711,plain,
    ( spl2_54
    | ~ spl2_14
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f210,f176,f160,f1709]) ).

fof(f210,plain,
    ( ! [X0,X1] : addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)) = addition(one,X1)
    | ~ spl2_14
    | ~ spl2_16 ),
    inference(superposition,[],[f177,f161]) ).

fof(f1445,plain,
    ( spl2_53
    | ~ spl2_4
    | ~ spl2_41
    | ~ spl2_45 ),
    inference(avatar_split_clause,[],[f1095,f840,f739,f110,f1443]) ).

fof(f1095,plain,
    ( ! [X0] : addition(X0,multiplication(X0,antidomain(antidomain(sK1)))) = X0
    | ~ spl2_4
    | ~ spl2_41
    | ~ spl2_45 ),
    inference(forward_demodulation,[],[f1045,f111]) ).

fof(f1045,plain,
    ( ! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,antidomain(antidomain(sK1))))
    | ~ spl2_41
    | ~ spl2_45 ),
    inference(superposition,[],[f841,f741]) ).

fof(f872,plain,
    ( spl2_52
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f310,f238,f131,f114,f870]) ).

fof(f310,plain,
    ( ! [X0,X1] : multiplication(X1,coantidomain(X0)) = multiplication(addition(X1,X0),coantidomain(X0))
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_20 ),
    inference(forward_demodulation,[],[f287,f115]) ).

fof(f287,plain,
    ( ! [X0,X1] : multiplication(addition(X1,X0),coantidomain(X0)) = addition(multiplication(X1,coantidomain(X0)),zero)
    | ~ spl2_9
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f132]) ).

fof(f868,plain,
    ( spl2_51
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_11
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f304,f238,f143,f131,f114,f866]) ).

fof(f304,plain,
    ( ! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = multiplication(X1,coantidomain(X0))
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_11
    | ~ spl2_20 ),
    inference(forward_demodulation,[],[f280,f146]) ).

fof(f146,plain,
    ( ! [X0] : addition(zero,X0) = X0
    | ~ spl2_5
    | ~ spl2_11 ),
    inference(superposition,[],[f144,f115]) ).

fof(f280,plain,
    ( ! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = addition(zero,multiplication(X1,coantidomain(X0)))
    | ~ spl2_9
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f132]) ).

fof(f864,plain,
    ( spl2_50
    | ~ spl2_6
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f290,f238,f118,f862]) ).

fof(f290,plain,
    ( ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0)
    | ~ spl2_6
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f119]) ).

fof(f858,plain,
    ( spl2_49
    | ~ spl2_6
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f283,f238,f118,f856]) ).

fof(f283,plain,
    ( ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0))
    | ~ spl2_6
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f119]) ).

fof(f854,plain,
    ( spl2_48
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f277,f229,f135,f114,f852]) ).

fof(f277,plain,
    ( ! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0))
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_18 ),
    inference(forward_demodulation,[],[f254,f115]) ).

fof(f254,plain,
    ( ! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero)
    | ~ spl2_10
    | ~ spl2_18 ),
    inference(superposition,[],[f230,f136]) ).

fof(f850,plain,
    ( spl2_47
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f269,f229,f143,f135,f114,f848]) ).

fof(f269,plain,
    ( ! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1)
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(forward_demodulation,[],[f247,f146]) ).

fof(f247,plain,
    ( ! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1))
    | ~ spl2_10
    | ~ spl2_18 ),
    inference(superposition,[],[f230,f136]) ).

fof(f846,plain,
    ( spl2_46
    | ~ spl2_4
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f249,f229,f110,f844]) ).

fof(f249,plain,
    ( ! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0)
    | ~ spl2_4
    | ~ spl2_18 ),
    inference(superposition,[],[f230,f111]) ).

fof(f842,plain,
    ( spl2_45
    | ~ spl2_4
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f242,f229,f110,f840]) ).

fof(f242,plain,
    ( ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1))
    | ~ spl2_4
    | ~ spl2_18 ),
    inference(superposition,[],[f230,f111]) ).

fof(f838,plain,
    ( spl2_44
    | ~ spl2_11
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f214,f176,f143,f836]) ).

fof(f833,plain,
    ( spl2_43
    | ~ spl2_7
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f213,f176,f122,f831]) ).

fof(f831,plain,
    ( spl2_43
  <=> ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f213,plain,
    ( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1)))
    | ~ spl2_7
    | ~ spl2_16 ),
    inference(superposition,[],[f177,f123]) ).

fof(f829,plain,
    ( spl2_42
    | ~ spl2_11
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f206,f176,f143,f827]) ).

fof(f206,plain,
    ( ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2)
    | ~ spl2_11
    | ~ spl2_16 ),
    inference(superposition,[],[f177,f144]) ).

fof(f742,plain,
    ( spl2_41
    | ~ spl2_11
    | ~ spl2_30 ),
    inference(avatar_split_clause,[],[f545,f452,f143,f739]) ).

fof(f452,plain,
    ( spl2_30
  <=> one = addition(antidomain(antidomain(sK1)),one) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).

fof(f545,plain,
    ( one = addition(one,antidomain(antidomain(sK1)))
    | ~ spl2_11
    | ~ spl2_30 ),
    inference(superposition,[],[f454,f144]) ).

fof(f454,plain,
    ( one = addition(antidomain(antidomain(sK1)),one)
    | ~ spl2_30 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f614,plain,
    ( spl2_40
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f312,f238,f135,f114,f612]) ).

fof(f312,plain,
    ( ! [X0,X1] : multiplication(X1,X0) = multiplication(addition(X1,antidomain(X0)),X0)
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_20 ),
    inference(forward_demodulation,[],[f291,f115]) ).

fof(f291,plain,
    ( ! [X0,X1] : addition(multiplication(X1,X0),zero) = multiplication(addition(X1,antidomain(X0)),X0)
    | ~ spl2_10
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f136]) ).

fof(f610,plain,
    ( spl2_39
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f306,f238,f143,f135,f114,f608]) ).

fof(f306,plain,
    ( ! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0)
    | ~ spl2_5
    | ~ spl2_10
    | ~ spl2_11
    | ~ spl2_20 ),
    inference(forward_demodulation,[],[f284,f146]) ).

fof(f284,plain,
    ( ! [X0,X1] : addition(zero,multiplication(X1,X0)) = multiplication(addition(antidomain(X0),X1),X0)
    | ~ spl2_10
    | ~ spl2_20 ),
    inference(superposition,[],[f239,f136]) ).

fof(f606,plain,
    ( spl2_38
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f271,f229,f131,f114,f604]) ).

fof(f271,plain,
    ( ! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(X1,coantidomain(X0)))
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_18 ),
    inference(forward_demodulation,[],[f250,f115]) ).

fof(f250,plain,
    ( ! [X0,X1] : addition(multiplication(X0,X1),zero) = multiplication(X0,addition(X1,coantidomain(X0)))
    | ~ spl2_9
    | ~ spl2_18 ),
    inference(superposition,[],[f230,f132]) ).

fof(f602,plain,
    ( spl2_37
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f263,f229,f143,f131,f114,f600]) ).

fof(f263,plain,
    ( ! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(coantidomain(X0),X1))
    | ~ spl2_5
    | ~ spl2_9
    | ~ spl2_11
    | ~ spl2_18 ),
    inference(forward_demodulation,[],[f243,f146]) ).

fof(f243,plain,
    ( ! [X0,X1] : addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(coantidomain(X0),X1))
    | ~ spl2_9
    | ~ spl2_18 ),
    inference(superposition,[],[f230,f132]) ).

fof(f598,plain,
    ( spl2_36
    | ~ spl2_9
    | ~ spl2_15 ),
    inference(avatar_split_clause,[],[f192,f172,f131,f596]) ).

fof(f596,plain,
    ( spl2_36
  <=> ! [X0,X1] : zero = multiplication(X0,multiplication(X1,coantidomain(multiplication(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f192,plain,
    ( ! [X0,X1] : zero = multiplication(X0,multiplication(X1,coantidomain(multiplication(X0,X1))))
    | ~ spl2_9
    | ~ spl2_15 ),
    inference(superposition,[],[f173,f132]) ).

fof(f544,plain,
    ( spl2_35
    | ~ spl2_6
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f224,f180,f118,f541]) ).

fof(f224,plain,
    ( divergence(one) = antidomain(antidomain(antidomain(antidomain(divergence(one)))))
    | ~ spl2_6
    | ~ spl2_17 ),
    inference(superposition,[],[f181,f119]) ).

fof(f539,plain,
    ( spl2_34
    | ~ spl2_7
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f205,f176,f122,f537]) ).

fof(f205,plain,
    ( ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1))
    | ~ spl2_7
    | ~ spl2_16 ),
    inference(superposition,[],[f177,f123]) ).

fof(f467,plain,
    ( spl2_33
    | ~ spl2_14
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f226,f180,f160,f465]) ).

fof(f226,plain,
    ( ! [X0] : one = addition(antidomain(divergence(X0)),divergence(X0))
    | ~ spl2_14
    | ~ spl2_17 ),
    inference(superposition,[],[f161,f181]) ).

fof(f463,plain,
    ( spl2_32
    | ~ spl2_3
    | ~ spl2_10
    | ~ spl2_15 ),
    inference(avatar_split_clause,[],[f201,f172,f135,f106,f461]) ).

fof(f201,plain,
    ( ! [X0,X1] : zero = multiplication(antidomain(X0),multiplication(X0,X1))
    | ~ spl2_3
    | ~ spl2_10
    | ~ spl2_15 ),
    inference(forward_demodulation,[],[f189,f107]) ).

fof(f189,plain,
    ( ! [X0,X1] : multiplication(zero,X1) = multiplication(antidomain(X0),multiplication(X0,X1))
    | ~ spl2_10
    | ~ spl2_15 ),
    inference(superposition,[],[f173,f136]) ).

fof(f459,plain,
    ( spl2_31
    | ~ spl2_3
    | ~ spl2_9
    | ~ spl2_15 ),
    inference(avatar_split_clause,[],[f197,f172,f131,f106,f457]) ).

fof(f197,plain,
    ( ! [X0,X1] : zero = multiplication(X0,multiplication(coantidomain(X0),X1))
    | ~ spl2_3
    | ~ spl2_9
    | ~ spl2_15 ),
    inference(forward_demodulation,[],[f185,f107]) ).

fof(f185,plain,
    ( ! [X0,X1] : multiplication(zero,X1) = multiplication(X0,multiplication(coantidomain(X0),X1))
    | ~ spl2_9
    | ~ spl2_15 ),
    inference(superposition,[],[f173,f132]) ).

fof(f455,plain,
    ( spl2_30
    | ~ spl2_14
    | ~ spl2_27 ),
    inference(avatar_split_clause,[],[f434,f430,f160,f452]) ).

fof(f434,plain,
    ( one = addition(antidomain(antidomain(sK1)),one)
    | ~ spl2_14
    | ~ spl2_27 ),
    inference(superposition,[],[f431,f161]) ).

fof(f450,plain,
    ( spl2_29
    | ~ spl2_11
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f167,f160,f143,f448]) ).

fof(f167,plain,
    ( ! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0)))
    | ~ spl2_11
    | ~ spl2_14 ),
    inference(superposition,[],[f161,f144]) ).

fof(f446,plain,
    ( spl2_28
    | ~ spl2_11
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f163,f151,f143,f444]) ).

fof(f163,plain,
    ( ! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0)))
    | ~ spl2_11
    | ~ spl2_12 ),
    inference(superposition,[],[f152,f144]) ).

fof(f432,plain,
    ( spl2_27
    | ~ spl2_8
    | ~ spl2_16 ),
    inference(avatar_split_clause,[],[f209,f176,f126,f430]) ).

fof(f209,plain,
    ( ! [X0] : addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0) = addition(antidomain(antidomain(sK1)),addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),X0))
    | ~ spl2_8
    | ~ spl2_16 ),
    inference(superposition,[],[f177,f128]) ).

fof(f416,plain,
    ( spl2_26
    | ~ spl2_3
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f222,f180,f106,f413]) ).

fof(f406,plain,
    ( spl2_25
    | ~ spl2_5
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f146,f143,f114,f404]) ).

fof(f371,plain,
    spl2_24,
    inference(avatar_split_clause,[],[f95,f369]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))) = addition(antidomain(antidomain(X0)),addition(divergence(X1),antidomain(antidomain(multiplication(star(X1),antidomain(antidomain(antidomain(antidomain(X2)))))))))
      | addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2))) != addition(antidomain(antidomain(X0)),addition(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(X0))))))),antidomain(antidomain(X2)))) ),
    inference(definition_unfolding,[],[f84,f89,f68,f68,f89,f68,f89,f68,f68,f68,f89,f68,f68]) ).

fof(f68,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).

fof(f89,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f77,f68,f68]) ).

fof(f77,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',forward_diamond) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
      | addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2))))
      | addition(forward_diamond(X1,domain(X0)),domain(X2)) != addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2))) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( addition(forward_diamond(X1,domain(X0)),domain(X2)) = addition(domain(X0),addition(forward_diamond(X1,domain(X0)),domain(X2)))
     => addition(divergence(X1),forward_diamond(star(X1),domain(X2))) = addition(domain(X0),addition(divergence(X1),forward_diamond(star(X1),domain(X2)))) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X4,X5] :
      ( addition(forward_diamond(X4,domain(X3)),domain(X5)) = addition(domain(X3),addition(forward_diamond(X4,domain(X3)),domain(X5)))
     => addition(divergence(X4),forward_diamond(star(X4),domain(X5))) = addition(domain(X3),addition(divergence(X4),forward_diamond(star(X4),domain(X5)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divergence2) ).

fof(f329,plain,
    spl2_23,
    inference(avatar_split_clause,[],[f79,f327]) ).

fof(f79,plain,
    ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).

fof(f325,plain,
    spl2_22,
    inference(avatar_split_clause,[],[f78,f323]) ).

fof(f78,plain,
    ! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3,X4] : coantidomain(multiplication(coantidomain(coantidomain(X3)),X4)) = addition(coantidomain(multiplication(X3,X4)),coantidomain(multiplication(coantidomain(coantidomain(X3)),X4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain2) ).

fof(f318,plain,
    spl2_21,
    inference(avatar_split_clause,[],[f93,f316]) ).

fof(f93,plain,
    ! [X2] : antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2)))))))))))))) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))),antidomain(antidomain(multiplication(star(sK0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X2)))),antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X2))))))))))))))),
    inference(definition_unfolding,[],[f55,f89,f88,f68,f89,f68,f89,f68,f89,f88,f68,f89,f68]) ).

fof(f88,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(antidomain(antidomain(X0)),antidomain(X1)),
    inference(definition_unfolding,[],[f76,f68]) ).

fof(f76,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3,X4] : domain_difference(X3,X4) = multiplication(domain(X3),antidomain(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_difference) ).

fof(f55,plain,
    ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ( zero != domain(sK1)
    & forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1)))
    & ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f51,f53,f52]) ).

fof(f52,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( zero != domain(X1)
            & forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
        & ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) )
   => ( ? [X1] :
          ( zero != domain(X1)
          & forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
      & ! [X2] : forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2)))) = addition(forward_diamond(sK0,domain(X2)),forward_diamond(star(sK0),domain_difference(domain(X2),forward_diamond(sK0,domain(X2))))) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ( ? [X1] :
        ( zero != domain(X1)
        & forward_diamond(sK0,domain(X1)) = addition(domain(X1),forward_diamond(sK0,domain(X1))) )
   => ( zero != domain(sK1)
      & forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ? [X0] :
      ( ? [X1] :
          ( zero != domain(X1)
          & forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1))) )
      & ! [X2] : forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2)))) = addition(forward_diamond(X0,domain(X2)),forward_diamond(star(X0),domain_difference(domain(X2),forward_diamond(X0,domain(X2))))) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ? [X0] :
      ( ? [X2] :
          ( zero != domain(X2)
          & forward_diamond(X0,domain(X2)) = addition(domain(X2),forward_diamond(X0,domain(X2))) )
      & ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X0] :
        ( ! [X1] : forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) = addition(forward_diamond(X0,domain(X1)),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))))
       => ! [X2] :
            ( forward_diamond(X0,domain(X2)) = addition(domain(X2),forward_diamond(X0,domain(X2)))
           => zero = domain(X2) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X3] :
        ( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(forward_diamond(X3,domain(X4)),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
       => ! [X5] :
            ( forward_diamond(X3,domain(X5)) = addition(domain(X5),forward_diamond(X3,domain(X5)))
           => zero = domain(X5) ) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X3] :
      ( ! [X4] : forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))) = addition(forward_diamond(X3,domain(X4)),forward_diamond(star(X3),domain_difference(domain(X4),forward_diamond(X3,domain(X4)))))
     => ! [X5] :
          ( forward_diamond(X3,domain(X5)) = addition(domain(X5),forward_diamond(X3,domain(X5)))
         => zero = domain(X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f240,plain,
    spl2_20,
    inference(avatar_split_clause,[],[f83,f238]) ).

fof(f83,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).

fof(f236,plain,
    ( spl2_19
    | ~ spl2_4
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f140,f135,f110,f233]) ).

fof(f140,plain,
    ( zero = antidomain(one)
    | ~ spl2_4
    | ~ spl2_10 ),
    inference(superposition,[],[f136,f111]) ).

fof(f231,plain,
    spl2_18,
    inference(avatar_split_clause,[],[f82,f229]) ).

fof(f82,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).

fof(f182,plain,
    spl2_17,
    inference(avatar_split_clause,[],[f94,f180]) ).

fof(f94,plain,
    ! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
    inference(definition_unfolding,[],[f69,f89]) ).

fof(f69,plain,
    ! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divergence1) ).

fof(f178,plain,
    spl2_16,
    inference(avatar_split_clause,[],[f81,f176]) ).

fof(f81,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).

fof(f174,plain,
    spl2_15,
    inference(avatar_split_clause,[],[f80,f172]) ).

fof(f80,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).

fof(f162,plain,
    spl2_14,
    inference(avatar_split_clause,[],[f71,f160]) ).

fof(f71,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).

fof(f158,plain,
    ( spl2_13
    | ~ spl2_6
    | ~ spl2_9 ),
    inference(avatar_split_clause,[],[f138,f131,f118,f155]) ).

fof(f138,plain,
    ( zero = coantidomain(one)
    | ~ spl2_6
    | ~ spl2_9 ),
    inference(superposition,[],[f132,f119]) ).

fof(f153,plain,
    spl2_12,
    inference(avatar_split_clause,[],[f70,f151]) ).

fof(f70,plain,
    ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain3) ).

fof(f145,plain,
    spl2_11,
    inference(avatar_split_clause,[],[f72,f143]) ).

fof(f72,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f137,plain,
    spl2_10,
    inference(avatar_split_clause,[],[f65,f135]) ).

fof(f65,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).

fof(f133,plain,
    spl2_9,
    inference(avatar_split_clause,[],[f64,f131]) ).

fof(f64,plain,
    ! [X0] : zero = multiplication(X0,coantidomain(X0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] : zero = multiplication(X0,coantidomain(X0)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3] : zero = multiplication(X3,coantidomain(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain1) ).

fof(f129,plain,
    spl2_8,
    inference(avatar_split_clause,[],[f92,f126]) ).

fof(f92,plain,
    antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))) = addition(antidomain(antidomain(sK1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1)))))))),
    inference(definition_unfolding,[],[f56,f89,f68,f68,f89,f68]) ).

fof(f56,plain,
    forward_diamond(sK0,domain(sK1)) = addition(domain(sK1),forward_diamond(sK0,domain(sK1))),
    inference(cnf_transformation,[],[f54]) ).

fof(f124,plain,
    spl2_7,
    inference(avatar_split_clause,[],[f63,f122]) ).

fof(f63,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).

fof(f120,plain,
    spl2_6,
    inference(avatar_split_clause,[],[f62,f118]) ).

fof(f62,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).

fof(f116,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f61,f114]) ).

fof(f61,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).

fof(f112,plain,
    spl2_4,
    inference(avatar_split_clause,[],[f60,f110]) ).

fof(f60,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f108,plain,
    spl2_3,
    inference(avatar_split_clause,[],[f59,f106]) ).

fof(f59,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).

fof(f104,plain,
    spl2_2,
    inference(avatar_split_clause,[],[f58,f102]) ).

fof(f58,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).

fof(f100,plain,
    ~ spl2_1,
    inference(avatar_split_clause,[],[f91,f97]) ).

fof(f91,plain,
    zero != antidomain(antidomain(sK1)),
    inference(definition_unfolding,[],[f57,f68]) ).

fof(f57,plain,
    zero != domain(sK1),
    inference(cnf_transformation,[],[f54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE132+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.33  % Computer : n006.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Apr 30 04:58:20 EDT 2024
% 0.14/0.33  % CPUTime    : 
% 0.14/0.33  % (16891)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.34  % (16896)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)
% 0.14/0.35  % (16894)WARNING: value z3 for option sas not known
% 0.14/0.35  % (16893)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.35  % (16892)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.35  % (16895)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.35  % (16897)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)
% 0.14/0.35  % (16898)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)
% 0.14/0.35  % (16894)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)
% 0.14/0.36  TRYING [1]
% 0.14/0.36  TRYING [2]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.19/0.40  TRYING [3]
% 0.19/0.40  TRYING [4]
% 0.19/0.46  TRYING [4]
% 0.19/0.51  TRYING [5]
% 1.46/0.57  TRYING [5]
% 2.13/0.67  TRYING [6]
% 3.59/0.87  % (16896)First to succeed.
% 3.59/0.89  % (16896)Refutation found. Thanks to Tanya!
% 3.59/0.89  % SZS status Theorem for theBenchmark
% 3.59/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 3.59/0.89  % (16896)------------------------------
% 3.59/0.89  % (16896)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.59/0.89  % (16896)Termination reason: Refutation
% 3.59/0.89  
% 3.59/0.89  % (16896)Memory used [KB]: 12919
% 3.59/0.89  % (16896)Time elapsed: 0.539 s
% 3.59/0.89  % (16896)Instructions burned: 1656 (million)
% 3.59/0.89  % (16896)------------------------------
% 3.59/0.89  % (16896)------------------------------
% 3.59/0.89  % (16891)Success in time 0.544 s
%------------------------------------------------------------------------------