%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM842+2 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 May 21 02:13:38 EDT 2024

% Result   : Theorem 13.83s 2.34s
% Output   : Refutation 13.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  408
% Syntax   : Number of formulae    : 1483 (  67 unt;   0 def)
%            Number of atoms       : 4636 ( 690 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 5651 (2498   ~;2714   |;  28   &)
%                                         ( 378 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :  376 ( 374 usr; 371 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   : 1824 (1802   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22513,plain,
    $false,
    inference(avatar_sat_refutation,[],[f195,f199,f203,f207,f211,f215,f219,f223,f227,f236,f241,f246,f250,f254,f258,f262,f266,f270,f274,f290,f294,f311,f315,f319,f323,f327,f331,f335,f339,f343,f353,f368,f372,f376,f380,f385,f392,f396,f400,f404,f472,f476,f563,f591,f646,f650,f672,f703,f707,f711,f715,f719,f750,f791,f795,f804,f828,f836,f850,f854,f858,f863,f873,f877,f881,f885,f889,f893,f1031,f1035,f1040,f1118,f1122,f1126,f1130,f1134,f1138,f1143,f1147,f1151,f1155,f1323,f1332,f1336,f1340,f1344,f1348,f1352,f1356,f1360,f1367,f1371,f1375,f1379,f1383,f1387,f1759,f1763,f1767,f1771,f1775,f1779,f2349,f2353,f2547,f2551,f2555,f2559,f2564,f2572,f2576,f2580,f2584,f2588,f2592,f2647,f2724,f2728,f2732,f2736,f2739,f2748,f2752,f2756,f2760,f2764,f2768,f2772,f2931,f3242,f3246,f3255,f3260,f3264,f3268,f3272,f3276,f3280,f3284,f3288,f3292,f3296,f3305,f3309,f3313,f3317,f3321,f3325,f3329,f3333,f3337,f3341,f3345,f3352,f3356,f3360,f3364,f3368,f3372,f3376,f3380,f4056,f5175,f5179,f5183,f5187,f5191,f5195,f5199,f5203,f5207,f6597,f6601,f6605,f6609,f6614,f6619,f6623,f6627,f7152,f7156,f7377,f7381,f7387,f7391,f7396,f7400,f7404,f7408,f7412,f7416,f7420,f7424,f7428,f7432,f7437,f7442,f7446,f7450,f7454,f7458,f7462,f7466,f7470,f7921,f7925,f7935,f7939,f7943,f7947,f7951,f10876,f10880,f10884,f10888,f10927,f10942,f10946,f12205,f12211,f12342,f12357,f12363,f12383,f12430,f12486,f12749,f12764,f12772,f12784,f12832,f13006,f13010,f13017,f13032,f13037,f13042,f13047,f13080,f13090,f13095,f13120,f13126,f13136,f13141,f13142,f13153,f13154,f13236,f13241,f13244,f13272,f13471,f13966,f13980,f13986,f13992,f13997,f14005,f14013,f14019,f14025,f14029,f14054,f14063,f14079,f14091,f14097,f14100,f14105,f14113,f14119,f14123,f14127,f14131,f14136,f14140,f14145,f14146,f14806,f15046,f15051,f15065,f15073,f15102,f15106,f15110,f15190,f15196,f15197,f15201,f15205,f15209,f15213,f15217,f15221,f15225,f15229,f15230,f15235,f15239,f15243,f15247,f15251,f15255,f15259,f15263,f15267,f15271,f15280,f15284,f15288,f15292,f15296,f15300,f15304,f15308,f15312,f15316,f15326,f15330,f15334,f15338,f15342,f15346,f15350,f15461,f15840,f16715,f16892,f17243,f17249,f17262,f17263,f17277,f17281,f17285,f17289,f17293,f17297,f17301,f17302,f17321,f17567,f17633,f18294,f18385,f19005,f19009,f19014,f19019,f19023,f19028,f19033,f19275,f19521,f20121,f20127,f20359,f20365,f20596,f21031,f21035,f21040,f21411,f21975,f21979,f21984,f21989,f21994,f21998,f22002,f22007,f22011,f22015,f22173,f22177,f22181,f22185,f22189,f22193,f22197,f22203,f22207,f22211,f22216,f22220,f22224,f22228,f22232,f22236,f22240,f22251,f22255,f22487]) ).

fof(f22487,plain,
    ( spl4_220
    | ~ spl4_358 ),
    inference(avatar_contradiction_clause,[],[f22462]) ).

fof(f22462,plain,
    ( $false
    | spl4_220
    | ~ spl4_358 ),
    inference(resolution,[],[f22196,f12204]) ).

fof(f12204,plain,
    ( ~ greater(vplus(vd353,vd355),vplus(vd353,vd356))
    | spl4_220 ),
    inference(avatar_component_clause,[],[f12202]) ).

fof(f12202,plain,
    ( spl4_220
  <=> greater(vplus(vd353,vd355),vplus(vd353,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_220])]) ).

fof(f22196,plain,
    ( ! [X0] : greater(vplus(X0,vd355),vplus(X0,vd356))
    | ~ spl4_358 ),
    inference(avatar_component_clause,[],[f22195]) ).

fof(f22195,plain,
    ( spl4_358
  <=> ! [X0] : greater(vplus(X0,vd355),vplus(X0,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_358])]) ).

fof(f22255,plain,
    ( spl4_370
    | ~ spl4_51
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f2251,f1769,f709,f22253]) ).

fof(f22253,plain,
    ( spl4_370
  <=> ! [X2,X0,X1] : geq(vplus(X1,vplus(X2,X0)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_370])]) ).

fof(f709,plain,
    ( spl4_51
  <=> ! [X0,X1] : geq(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).

fof(f1769,plain,
    ( spl4_103
  <=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_103])]) ).

fof(f2251,plain,
    ( ! [X2,X0,X1] : geq(vplus(X1,vplus(X2,X0)),X0)
    | ~ spl4_51
    | ~ spl4_103 ),
    inference(superposition,[],[f710,f1770]) ).

fof(f1770,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1))
    | ~ spl4_103 ),
    inference(avatar_component_clause,[],[f1769]) ).

fof(f710,plain,
    ( ! [X0,X1] : geq(vplus(X0,X1),X0)
    | ~ spl4_51 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f22251,plain,
    ( spl4_369
    | ~ spl4_50
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f2250,f1769,f705,f22249]) ).

fof(f22249,plain,
    ( spl4_369
  <=> ! [X2,X0,X1] : leq(X0,vplus(X1,vplus(X2,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_369])]) ).

fof(f705,plain,
    ( spl4_50
  <=> ! [X0,X1] : leq(X0,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).

fof(f2250,plain,
    ( ! [X2,X0,X1] : leq(X0,vplus(X1,vplus(X2,X0)))
    | ~ spl4_50
    | ~ spl4_103 ),
    inference(superposition,[],[f706,f1770]) ).

fof(f706,plain,
    ( ! [X0,X1] : leq(X0,vplus(X0,X1))
    | ~ spl4_50 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f22240,plain,
    ( spl4_368
    | ~ spl4_49
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f2249,f1769,f701,f22238]) ).

fof(f22238,plain,
    ( spl4_368
  <=> ! [X2,X0,X1] : ~ greater(X0,vplus(X1,vplus(X2,X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_368])]) ).

fof(f701,plain,
    ( spl4_49
  <=> ! [X0,X1] : ~ greater(X0,vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).

fof(f2249,plain,
    ( ! [X2,X0,X1] : ~ greater(X0,vplus(X1,vplus(X2,X0)))
    | ~ spl4_49
    | ~ spl4_103 ),
    inference(superposition,[],[f702,f1770]) ).

fof(f702,plain,
    ( ! [X0,X1] : ~ greater(X0,vplus(X0,X1))
    | ~ spl4_49 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f22236,plain,
    ( spl4_367
    | ~ spl4_51
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f2160,f1769,f709,f22234]) ).

fof(f22234,plain,
    ( spl4_367
  <=> ! [X2,X0,X1] : geq(vplus(X2,vplus(X0,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_367])]) ).

fof(f2160,plain,
    ( ! [X2,X0,X1] : geq(vplus(X2,vplus(X0,X1)),X0)
    | ~ spl4_51
    | ~ spl4_103 ),
    inference(superposition,[],[f710,f1770]) ).

fof(f22232,plain,
    ( spl4_366
    | ~ spl4_50
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f2159,f1769,f705,f22230]) ).

fof(f22230,plain,
    ( spl4_366
  <=> ! [X2,X0,X1] : leq(X0,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_366])]) ).

fof(f2159,plain,
    ( ! [X2,X0,X1] : leq(X0,vplus(X2,vplus(X0,X1)))
    | ~ spl4_50
    | ~ spl4_103 ),
    inference(superposition,[],[f706,f1770]) ).

fof(f22228,plain,
    ( spl4_365
    | ~ spl4_49
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f2158,f1769,f701,f22226]) ).

fof(f22226,plain,
    ( spl4_365
  <=> ! [X2,X0,X1] : ~ greater(X0,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_365])]) ).

fof(f2158,plain,
    ( ! [X2,X0,X1] : ~ greater(X0,vplus(X2,vplus(X0,X1)))
    | ~ spl4_49
    | ~ spl4_103 ),
    inference(superposition,[],[f702,f1770]) ).

fof(f22224,plain,
    ( spl4_364
    | ~ spl4_9
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f2139,f1769,f225,f22222]) ).

fof(f22222,plain,
    ( spl4_364
  <=> ! [X2,X0,X1] : less(X0,vplus(X2,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_364])]) ).

fof(f225,plain,
    ( spl4_9
  <=> ! [X2,X1] : less(X1,vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f2139,plain,
    ( ! [X2,X0,X1] : less(X0,vplus(X2,vplus(X0,X1)))
    | ~ spl4_9
    | ~ spl4_103 ),
    inference(superposition,[],[f226,f1770]) ).

fof(f226,plain,
    ( ! [X2,X1] : less(X1,vplus(X1,X2))
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f22220,plain,
    ( spl4_363
    | ~ spl4_7
    | ~ spl4_103 ),
    inference(avatar_split_clause,[],[f2137,f1769,f217,f22218]) ).

fof(f22218,plain,
    ( spl4_363
  <=> ! [X2,X0,X1] : greater(vplus(X2,vplus(X0,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_363])]) ).

fof(f217,plain,
    ( spl4_7
  <=> ! [X0,X1] : greater(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f2137,plain,
    ( ! [X2,X0,X1] : greater(vplus(X2,vplus(X0,X1)),X0)
    | ~ spl4_7
    | ~ spl4_103 ),
    inference(superposition,[],[f218,f1770]) ).

fof(f218,plain,
    ( ! [X0,X1] : greater(vplus(X0,X1),X0)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f22216,plain,
    ( spl4_362
    | ~ spl4_64
    | ~ spl4_100 ),
    inference(avatar_split_clause,[],[f1787,f1757,f860,f22213]) ).

fof(f22213,plain,
    ( spl4_362
  <=> vd355 = vplus(vd356,sK2(vd355,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_362])]) ).

fof(f860,plain,
    ( spl4_64
  <=> vd355 = vplus(vd356,sK3(vd356,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).

fof(f1757,plain,
    ( spl4_100
  <=> ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK2(vplus(X0,X1),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_100])]) ).

fof(f1787,plain,
    ( vd355 = vplus(vd356,sK2(vd355,vd356))
    | ~ spl4_64
    | ~ spl4_100 ),
    inference(superposition,[],[f1758,f862]) ).

fof(f862,plain,
    ( vd355 = vplus(vd356,sK3(vd356,vd355))
    | ~ spl4_64 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f1758,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK2(vplus(X0,X1),X0))
    | ~ spl4_100 ),
    inference(avatar_component_clause,[],[f1757]) ).

fof(f22211,plain,
    ( spl4_361
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_84 ),
    inference(avatar_split_clause,[],[f1315,f1153,f860,f288,f22209]) ).

fof(f22209,plain,
    ( spl4_361
  <=> ! [X0] : vd356 != vplus(vplus(vd355,v1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_361])]) ).

fof(f288,plain,
    ( spl4_21
  <=> ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).

fof(f1153,plain,
    ( spl4_84
  <=> ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).

fof(f1315,plain,
    ( ! [X0] : vd356 != vplus(vplus(vd355,v1),X0)
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_84 ),
    inference(forward_demodulation,[],[f1303,f289]) ).

fof(f289,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0)
    | ~ spl4_21 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f1303,plain,
    ( ! [X0] : vd356 != vplus(vplus(v1,vd355),X0)
    | ~ spl4_64
    | ~ spl4_84 ),
    inference(superposition,[],[f1154,f862]) ).

fof(f1154,plain,
    ( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) != X0
    | ~ spl4_84 ),
    inference(avatar_component_clause,[],[f1153]) ).

fof(f22207,plain,
    ( spl4_360
    | ~ spl4_64
    | ~ spl4_79 ),
    inference(avatar_split_clause,[],[f1261,f1132,f860,f22205]) ).

fof(f22205,plain,
    ( spl4_360
  <=> ! [X0] : less(vplus(X0,vd356),vplus(X0,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_360])]) ).

fof(f1132,plain,
    ( spl4_79
  <=> ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).

fof(f1261,plain,
    ( ! [X0] : less(vplus(X0,vd356),vplus(X0,vd355))
    | ~ spl4_64
    | ~ spl4_79 ),
    inference(superposition,[],[f1133,f862]) ).

fof(f1133,plain,
    ( ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2)))
    | ~ spl4_79 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f22203,plain,
    ( spl4_359
    | ~ spl4_64
    | ~ spl4_78 ),
    inference(avatar_split_clause,[],[f1230,f1128,f860,f22201]) ).

fof(f22201,plain,
    ( spl4_359
  <=> ! [X0] : vplus(X0,vd356) != vplus(X0,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_359])]) ).

fof(f1128,plain,
    ( spl4_78
  <=> ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).

fof(f1230,plain,
    ( ! [X0] : vplus(X0,vd356) != vplus(X0,vd355)
    | ~ spl4_64
    | ~ spl4_78 ),
    inference(superposition,[],[f1129,f862]) ).

fof(f1129,plain,
    ( ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2))
    | ~ spl4_78 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f22197,plain,
    ( spl4_358
    | ~ spl4_64
    | ~ spl4_77 ),
    inference(avatar_split_clause,[],[f1197,f1124,f860,f22195]) ).

fof(f1124,plain,
    ( spl4_77
  <=> ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).

fof(f1197,plain,
    ( ! [X0] : greater(vplus(X0,vd355),vplus(X0,vd356))
    | ~ spl4_64
    | ~ spl4_77 ),
    inference(superposition,[],[f1125,f862]) ).

fof(f1125,plain,
    ( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1))
    | ~ spl4_77 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f22193,plain,
    ( spl4_357
    | ~ spl4_64
    | ~ spl4_67 ),
    inference(avatar_split_clause,[],[f958,f875,f860,f22191]) ).

fof(f22191,plain,
    ( spl4_357
  <=> ! [X0] : sK3(vd356,vd355) != vplus(X0,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_357])]) ).

fof(f875,plain,
    ( spl4_67
  <=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).

fof(f958,plain,
    ( ! [X0] : sK3(vd356,vd355) != vplus(X0,vd355)
    | ~ spl4_64
    | ~ spl4_67 ),
    inference(superposition,[],[f876,f862]) ).

fof(f876,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2
    | ~ spl4_67 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f22189,plain,
    ( spl4_356
    | ~ spl4_61
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f949,f860,f848,f22187]) ).

fof(f22187,plain,
    ( spl4_356
  <=> ! [X0] : sK3(vd356,vd355) != vplus(vd355,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_356])]) ).

fof(f848,plain,
    ( spl4_61
  <=> ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).

fof(f949,plain,
    ( ! [X0] : sK3(vd356,vd355) != vplus(vd355,X0)
    | ~ spl4_61
    | ~ spl4_64 ),
    inference(superposition,[],[f849,f862]) ).

fof(f849,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0
    | ~ spl4_61 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f22185,plain,
    ( spl4_355
    | ~ spl4_31
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f786,f717,f341,f22183]) ).

fof(f22183,plain,
    ( spl4_355
  <=> ! [X0] :
        ( greater(X0,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_355])]) ).

fof(f341,plain,
    ( spl4_31
  <=> ! [X0] :
        ( vplus(v1,vskolem2(X0)) = X0
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).

fof(f717,plain,
    ( spl4_53
  <=> ! [X0,X1] : greater(vplus(X1,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).

fof(f786,plain,
    ( ! [X0] :
        ( greater(X0,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_53 ),
    inference(superposition,[],[f718,f342]) ).

fof(f342,plain,
    ( ! [X0] :
        ( vplus(v1,vskolem2(X0)) = X0
        | v1 = X0 )
    | ~ spl4_31 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f718,plain,
    ( ! [X0,X1] : greater(vplus(X1,X0),X0)
    | ~ spl4_53 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f22181,plain,
    ( spl4_354
    | ~ spl4_42
    | ~ spl4_53 ),
    inference(avatar_split_clause,[],[f784,f717,f470,f22179]) ).

fof(f22179,plain,
    ( spl4_354
  <=> ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_354])]) ).

fof(f470,plain,
    ( spl4_42
  <=> ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).

fof(f784,plain,
    ( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),X2)
    | ~ spl4_42
    | ~ spl4_53 ),
    inference(superposition,[],[f718,f471]) ).

fof(f471,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2))
    | ~ spl4_42 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f22177,plain,
    ( spl4_353
    | ~ spl4_31
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f774,f713,f341,f22175]) ).

fof(f22175,plain,
    ( spl4_353
  <=> ! [X0] :
        ( less(vskolem2(X0),X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_353])]) ).

fof(f713,plain,
    ( spl4_52
  <=> ! [X0,X1] : less(X0,vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).

fof(f774,plain,
    ( ! [X0] :
        ( less(vskolem2(X0),X0)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_52 ),
    inference(superposition,[],[f714,f342]) ).

fof(f714,plain,
    ( ! [X0,X1] : less(X0,vplus(X1,X0))
    | ~ spl4_52 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f22173,plain,
    ( spl4_352
    | ~ spl4_42
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f772,f713,f470,f22171]) ).

fof(f22171,plain,
    ( spl4_352
  <=> ! [X2,X0,X1] : less(X2,vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_352])]) ).

fof(f772,plain,
    ( ! [X2,X0,X1] : less(X2,vplus(X0,vplus(X1,X2)))
    | ~ spl4_42
    | ~ spl4_52 ),
    inference(superposition,[],[f714,f471]) ).

fof(f22015,plain,
    ( spl4_351
    | ~ spl4_3
    | ~ spl4_124 ),
    inference(avatar_split_clause,[],[f3121,f2754,f201,f22013]) ).

fof(f22013,plain,
    ( spl4_351
  <=> ! [X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_351])]) ).

fof(f201,plain,
    ( spl4_3
  <=> ! [X1] : ~ greater(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f2754,plain,
    ( spl4_124
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(X1,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_124])]) ).

fof(f3121,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X1,X0) )
    | ~ spl4_3
    | ~ spl4_124 ),
    inference(resolution,[],[f2755,f202]) ).

fof(f202,plain,
    ( ! [X1] : ~ greater(X1,X1)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f2755,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(X1,X3) )
    | ~ spl4_124 ),
    inference(avatar_component_clause,[],[f2754]) ).

fof(f22011,plain,
    ( spl4_350
    | ~ spl4_88
    | ~ spl4_89 ),
    inference(avatar_split_clause,[],[f1452,f1342,f1338,f22009]) ).

fof(f22009,plain,
    ( spl4_350
  <=> ! [X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_350])]) ).

fof(f1338,plain,
    ( spl4_88
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | greater(vplus(X1,X2),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).

fof(f1342,plain,
    ( spl4_89
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).

fof(f1452,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X1,X0) )
    | ~ spl4_88
    | ~ spl4_89 ),
    inference(resolution,[],[f1343,f1339]) ).

fof(f1339,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),vplus(X0,X2))
        | ~ less(X0,X1) )
    | ~ spl4_88 ),
    inference(avatar_component_clause,[],[f1338]) ).

fof(f1343,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,X2),vplus(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_89 ),
    inference(avatar_component_clause,[],[f1342]) ).

fof(f22007,plain,
    ( spl4_65
    | ~ spl4_349
    | ~ spl4_64
    | ~ spl4_73 ),
    inference(avatar_split_clause,[],[f1114,f1033,f860,f22004,f866]) ).

fof(f866,plain,
    ( spl4_65
  <=> vd355 = vd356 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).

fof(f22004,plain,
    ( spl4_349
  <=> vd355 = v1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_349])]) ).

fof(f1033,plain,
    ( spl4_73
  <=> ! [X0,X1] :
        ( v1 != vplus(X0,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).

fof(f1114,plain,
    ( vd355 != v1
    | vd355 = vd356
    | ~ spl4_64
    | ~ spl4_73 ),
    inference(inner_rewriting,[],[f1111]) ).

fof(f1111,plain,
    ( vd355 != v1
    | vd356 = v1
    | ~ spl4_64
    | ~ spl4_73 ),
    inference(superposition,[],[f1034,f862]) ).

fof(f1034,plain,
    ( ! [X0,X1] :
        ( v1 != vplus(X0,X1)
        | v1 = X0 )
    | ~ spl4_73 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f22002,plain,
    ( spl4_348
    | ~ spl4_31
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f760,f709,f341,f22000]) ).

fof(f22000,plain,
    ( spl4_348
  <=> ! [X0] :
        ( geq(X0,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_348])]) ).

fof(f760,plain,
    ( ! [X0] :
        ( geq(X0,v1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_51 ),
    inference(superposition,[],[f710,f342]) ).

fof(f21998,plain,
    ( spl4_347
    | ~ spl4_31
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f744,f705,f341,f21996]) ).

fof(f21996,plain,
    ( spl4_347
  <=> ! [X0] :
        ( leq(v1,X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_347])]) ).

fof(f744,plain,
    ( ! [X0] :
        ( leq(v1,X0)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_50 ),
    inference(superposition,[],[f706,f342]) ).

fof(f21994,plain,
    ( spl4_346
    | ~ spl4_31
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f730,f701,f341,f21992]) ).

fof(f21992,plain,
    ( spl4_346
  <=> ! [X0] :
        ( ~ greater(v1,X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_346])]) ).

fof(f730,plain,
    ( ! [X0] :
        ( ~ greater(v1,X0)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_49 ),
    inference(superposition,[],[f702,f342]) ).

fof(f21989,plain,
    ( spl4_345
    | ~ spl4_27
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f661,f643,f325,f21987]) ).

fof(f21987,plain,
    ( spl4_345
  <=> ! [X0] :
        ( ~ leq(X0,vd354)
        | leq(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_345])]) ).

fof(f325,plain,
    ( spl4_27
  <=> ! [X2,X0,X1] :
        ( leq(X0,X2)
        | ~ leq(X0,X1)
        | ~ leq(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).

fof(f643,plain,
    ( spl4_46
  <=> leq(vd354,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).

fof(f661,plain,
    ( ! [X0] :
        ( ~ leq(X0,vd354)
        | leq(X0,vd353) )
    | ~ spl4_27
    | ~ spl4_46 ),
    inference(resolution,[],[f645,f326]) ).

fof(f326,plain,
    ( ! [X2,X0,X1] :
        ( ~ leq(X1,X2)
        | ~ leq(X0,X1)
        | leq(X0,X2) )
    | ~ spl4_27 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f645,plain,
    ( leq(vd354,vd353)
    | ~ spl4_46 ),
    inference(avatar_component_clause,[],[f643]) ).

fof(f21984,plain,
    ( spl4_344
    | ~ spl4_29
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f660,f643,f333,f21982]) ).

fof(f21982,plain,
    ( spl4_344
  <=> ! [X0] :
        ( less(vd354,X0)
        | ~ less(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_344])]) ).

fof(f333,plain,
    ( spl4_29
  <=> ! [X2,X0,X1] :
        ( less(X0,X2)
        | ~ leq(X0,X1)
        | ~ less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).

fof(f660,plain,
    ( ! [X0] :
        ( less(vd354,X0)
        | ~ less(vd353,X0) )
    | ~ spl4_29
    | ~ spl4_46 ),
    inference(resolution,[],[f645,f334]) ).

fof(f334,plain,
    ( ! [X2,X0,X1] :
        ( ~ leq(X0,X1)
        | less(X0,X2)
        | ~ less(X1,X2) )
    | ~ spl4_29 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f21979,plain,
    ( spl4_343
    | ~ spl4_30
    | ~ spl4_46 ),
    inference(avatar_split_clause,[],[f659,f643,f337,f21977]) ).

fof(f21977,plain,
    ( spl4_343
  <=> ! [X0] :
        ( ~ less(X0,vd354)
        | less(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_343])]) ).

fof(f337,plain,
    ( spl4_30
  <=> ! [X2,X0,X1] :
        ( less(X0,X2)
        | ~ less(X0,X1)
        | ~ leq(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).

fof(f659,plain,
    ( ! [X0] :
        ( ~ less(X0,vd354)
        | less(X0,vd353) )
    | ~ spl4_30
    | ~ spl4_46 ),
    inference(resolution,[],[f645,f338]) ).

fof(f338,plain,
    ( ! [X2,X0,X1] :
        ( ~ leq(X1,X2)
        | ~ less(X0,X1)
        | less(X0,X2) )
    | ~ spl4_30 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f21975,plain,
    ( spl4_342
    | ~ spl4_23
    | ~ spl4_27 ),
    inference(avatar_split_clause,[],[f431,f325,f308,f21973]) ).

fof(f21973,plain,
    ( spl4_342
  <=> ! [X0] :
        ( ~ leq(X0,vd356)
        | leq(X0,vd355) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_342])]) ).

fof(f308,plain,
    ( spl4_23
  <=> leq(vd356,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).

fof(f431,plain,
    ( ! [X0] :
        ( ~ leq(X0,vd356)
        | leq(X0,vd355) )
    | ~ spl4_23
    | ~ spl4_27 ),
    inference(resolution,[],[f310,f326]) ).

fof(f310,plain,
    ( leq(vd356,vd355)
    | ~ spl4_23 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f21411,plain,
    ( spl4_341
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_103
    | ~ spl4_150
    | ~ spl4_310 ),
    inference(avatar_split_clause,[],[f21042,f15458,f3331,f1769,f860,f288,f21409]) ).

fof(f21409,plain,
    ( spl4_341
  <=> ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vd355))
        | greater(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_341])]) ).

fof(f3331,plain,
    ( spl4_150
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | greater(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_150])]) ).

fof(f15458,plain,
    ( spl4_310
  <=> vd353 = v1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_310])]) ).

fof(f21042,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vd355))
        | greater(v1,X0) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_103
    | ~ spl4_150
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f21041,f862]) ).

fof(f21041,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd353,vplus(vd356,sK3(vd356,vd355))),vplus(X0,vd355))
        | greater(v1,X0) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_103
    | ~ spl4_150
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f19347,f289]) ).

fof(f19347,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd353,vplus(sK3(vd356,vd355),vd356)),vplus(X0,vd355))
        | greater(v1,X0) )
    | ~ spl4_64
    | ~ spl4_103
    | ~ spl4_150
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f17484,f1770]) ).

fof(f17484,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd356,vplus(vd353,sK3(vd356,vd355))),vplus(X0,vd355))
        | greater(v1,X0) )
    | ~ spl4_64
    | ~ spl4_150
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f4504,f15460]) ).

fof(f15460,plain,
    ( vd353 = v1
    | ~ spl4_310 ),
    inference(avatar_component_clause,[],[f15458]) ).

fof(f4504,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd356,vplus(v1,sK3(vd356,vd355))),vplus(X0,vd355))
        | greater(v1,X0) )
    | ~ spl4_64
    | ~ spl4_150 ),
    inference(superposition,[],[f3332,f862]) ).

fof(f3332,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | greater(v1,X2) )
    | ~ spl4_150 ),
    inference(avatar_component_clause,[],[f3331]) ).

fof(f21040,plain,
    ( spl4_340
    | ~ spl4_18
    | ~ spl4_257 ),
    inference(avatar_split_clause,[],[f17628,f14076,f264,f21037]) ).

fof(f21037,plain,
    ( spl4_340
  <=> less(v1,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_340])]) ).

fof(f264,plain,
    ( spl4_18
  <=> ! [X0,X1] :
        ( less(X1,X0)
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f14076,plain,
    ( spl4_257
  <=> greater(vd353,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_257])]) ).

fof(f17628,plain,
    ( less(v1,vd353)
    | ~ spl4_18
    | ~ spl4_257 ),
    inference(resolution,[],[f14077,f265]) ).

fof(f265,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,X1)
        | less(X1,X0) )
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f14077,plain,
    ( greater(vd353,v1)
    | ~ spl4_257 ),
    inference(avatar_component_clause,[],[f14076]) ).

fof(f21035,plain,
    ( spl4_339
    | ~ spl4_23
    | ~ spl4_29 ),
    inference(avatar_split_clause,[],[f430,f333,f308,f21033]) ).

fof(f21033,plain,
    ( spl4_339
  <=> ! [X0] :
        ( less(vd356,X0)
        | ~ less(vd355,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_339])]) ).

fof(f430,plain,
    ( ! [X0] :
        ( less(vd356,X0)
        | ~ less(vd355,X0) )
    | ~ spl4_23
    | ~ spl4_29 ),
    inference(resolution,[],[f310,f334]) ).

fof(f21031,plain,
    ( spl4_338
    | ~ spl4_23
    | ~ spl4_30 ),
    inference(avatar_split_clause,[],[f429,f337,f308,f21029]) ).

fof(f21029,plain,
    ( spl4_338
  <=> ! [X0] :
        ( ~ less(X0,vd356)
        | less(X0,vd355) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_338])]) ).

fof(f429,plain,
    ( ! [X0] :
        ( ~ less(X0,vd356)
        | less(X0,vd355) )
    | ~ spl4_23
    | ~ spl4_30 ),
    inference(resolution,[],[f310,f338]) ).

fof(f20596,plain,
    ( spl4_337
    | ~ spl4_42
    | ~ spl4_60
    | ~ spl4_181 ),
    inference(avatar_split_clause,[],[f15934,f7150,f833,f470,f20594]) ).

fof(f20594,plain,
    ( spl4_337
  <=> ! [X0] : vplus(vd353,vplus(vd356,X0)) = vplus(vplus(vd353,vd355),vplus(X0,sK2(vplus(vd353,vplus(vd356,X0)),vplus(vd353,vplus(vd355,X0))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_337])]) ).

fof(f833,plain,
    ( spl4_60
  <=> less(vplus(vd353,vd355),vplus(vd353,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).

fof(f7150,plain,
    ( spl4_181
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(X2,sK2(vplus(X1,X2),vplus(X0,X2))))
        | ~ less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_181])]) ).

fof(f15934,plain,
    ( ! [X0] : vplus(vd353,vplus(vd356,X0)) = vplus(vplus(vd353,vd355),vplus(X0,sK2(vplus(vd353,vplus(vd356,X0)),vplus(vd353,vplus(vd355,X0)))))
    | ~ spl4_42
    | ~ spl4_60
    | ~ spl4_181 ),
    inference(forward_demodulation,[],[f15933,f471]) ).

fof(f15933,plain,
    ( ! [X0] : vplus(vplus(vd353,vd356),X0) = vplus(vplus(vd353,vd355),vplus(X0,sK2(vplus(vplus(vd353,vd356),X0),vplus(vd353,vplus(vd355,X0)))))
    | ~ spl4_42
    | ~ spl4_60
    | ~ spl4_181 ),
    inference(forward_demodulation,[],[f12445,f471]) ).

fof(f12445,plain,
    ( ! [X0] : vplus(vplus(vd353,vd356),X0) = vplus(vplus(vd353,vd355),vplus(X0,sK2(vplus(vplus(vd353,vd356),X0),vplus(vplus(vd353,vd355),X0))))
    | ~ spl4_60
    | ~ spl4_181 ),
    inference(resolution,[],[f835,f7151]) ).

fof(f7151,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | vplus(X1,X2) = vplus(X0,vplus(X2,sK2(vplus(X1,X2),vplus(X0,X2)))) )
    | ~ spl4_181 ),
    inference(avatar_component_clause,[],[f7150]) ).

fof(f835,plain,
    ( less(vplus(vd353,vd355),vplus(vd353,vd356))
    | ~ spl4_60 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f20365,plain,
    ( spl4_336
    | ~ spl4_57
    | ~ spl4_335 ),
    inference(avatar_split_clause,[],[f20360,f20356,f797,f20362]) ).

fof(f20362,plain,
    ( spl4_336
  <=> vplus(vd353,vd356) = vplus(vplus(vd353,vd355),sK1(vplus(vd353,vd356),vplus(vd353,vd355))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_336])]) ).

fof(f797,plain,
    ( spl4_57
  <=> vd353 = vd354 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).

fof(f20356,plain,
    ( spl4_335
  <=> vplus(vd354,vd356) = vplus(vplus(vd353,vd355),sK1(vplus(vd354,vd356),vplus(vd353,vd355))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_335])]) ).

fof(f20360,plain,
    ( vplus(vd353,vd356) = vplus(vplus(vd353,vd355),sK1(vplus(vd353,vd356),vplus(vd353,vd355)))
    | ~ spl4_57
    | ~ spl4_335 ),
    inference(forward_demodulation,[],[f20358,f799]) ).

fof(f799,plain,
    ( vd353 = vd354
    | ~ spl4_57 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f20358,plain,
    ( vplus(vd354,vd356) = vplus(vplus(vd353,vd355),sK1(vplus(vd354,vd356),vplus(vd353,vd355)))
    | ~ spl4_335 ),
    inference(avatar_component_clause,[],[f20356]) ).

fof(f20359,plain,
    ( spl4_47
    | spl4_335
    | spl4_1
    | ~ spl4_127 ),
    inference(avatar_split_clause,[],[f3198,f2766,f192,f20356,f665]) ).

fof(f665,plain,
    ( spl4_47
  <=> vplus(vd353,vd355) = vplus(vd354,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).

fof(f192,plain,
    ( spl4_1
  <=> greater(vplus(vd353,vd355),vplus(vd354,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f2766,plain,
    ( spl4_127
  <=> ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_127])]) ).

fof(f3198,plain,
    ( vplus(vd354,vd356) = vplus(vplus(vd353,vd355),sK1(vplus(vd354,vd356),vplus(vd353,vd355)))
    | vplus(vd353,vd355) = vplus(vd354,vd356)
    | spl4_1
    | ~ spl4_127 ),
    inference(resolution,[],[f2767,f194]) ).

fof(f194,plain,
    ( ~ greater(vplus(vd353,vd355),vplus(vd354,vd356))
    | spl4_1 ),
    inference(avatar_component_clause,[],[f192]) ).

fof(f2767,plain,
    ( ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_127 ),
    inference(avatar_component_clause,[],[f2766]) ).

fof(f20127,plain,
    ( spl4_334
    | ~ spl4_57
    | ~ spl4_333 ),
    inference(avatar_split_clause,[],[f20122,f20118,f797,f20124]) ).

fof(f20124,plain,
    ( spl4_334
  <=> vplus(vd353,vd356) = vplus(vplus(vd353,vd355),sK0(vplus(vd353,vd355),vplus(vd353,vd356))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_334])]) ).

fof(f20118,plain,
    ( spl4_333
  <=> vplus(vd354,vd356) = vplus(vplus(vd353,vd355),sK0(vplus(vd353,vd355),vplus(vd354,vd356))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_333])]) ).

fof(f20122,plain,
    ( vplus(vd353,vd356) = vplus(vplus(vd353,vd355),sK0(vplus(vd353,vd355),vplus(vd353,vd356)))
    | ~ spl4_57
    | ~ spl4_333 ),
    inference(forward_demodulation,[],[f20120,f799]) ).

fof(f20120,plain,
    ( vplus(vd354,vd356) = vplus(vplus(vd353,vd355),sK0(vplus(vd353,vd355),vplus(vd354,vd356)))
    | ~ spl4_333 ),
    inference(avatar_component_clause,[],[f20118]) ).

fof(f20121,plain,
    ( spl4_47
    | spl4_333
    | spl4_1
    | ~ spl4_125 ),
    inference(avatar_split_clause,[],[f3157,f2758,f192,f20118,f665]) ).

fof(f2758,plain,
    ( spl4_125
  <=> ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_125])]) ).

fof(f3157,plain,
    ( vplus(vd354,vd356) = vplus(vplus(vd353,vd355),sK0(vplus(vd353,vd355),vplus(vd354,vd356)))
    | vplus(vd353,vd355) = vplus(vd354,vd356)
    | spl4_1
    | ~ spl4_125 ),
    inference(resolution,[],[f2759,f194]) ).

fof(f2759,plain,
    ( ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_125 ),
    inference(avatar_component_clause,[],[f2758]) ).

fof(f19521,plain,
    ( spl4_332
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_103
    | ~ spl4_141
    | ~ spl4_310 ),
    inference(avatar_split_clause,[],[f19292,f15458,f3294,f1769,f860,f288,f19519]) ).

fof(f19519,plain,
    ( spl4_332
  <=> ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd355))
        | ~ less(v1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_332])]) ).

fof(f3294,plain,
    ( spl4_141
  <=> ! [X2,X0,X1] :
        ( less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ less(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_141])]) ).

fof(f19292,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd355))
        | ~ less(v1,X0) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_103
    | ~ spl4_141
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f19291,f862]) ).

fof(f19291,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vplus(vd356,sK3(vd356,vd355))),vplus(X0,vd355))
        | ~ less(v1,X0) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_103
    | ~ spl4_141
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f17429,f289]) ).

fof(f17429,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vplus(sK3(vd356,vd355),vd356)),vplus(X0,vd355))
        | ~ less(v1,X0) )
    | ~ spl4_64
    | ~ spl4_103
    | ~ spl4_141
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f17428,f1770]) ).

fof(f17428,plain,
    ( ! [X0] :
        ( less(vplus(vd356,vplus(vd353,sK3(vd356,vd355))),vplus(X0,vd355))
        | ~ less(v1,X0) )
    | ~ spl4_64
    | ~ spl4_141
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f14911,f15460]) ).

fof(f14911,plain,
    ( ! [X0] :
        ( less(vplus(vd356,vplus(v1,sK3(vd356,vd355))),vplus(X0,vd355))
        | ~ less(v1,X0) )
    | ~ spl4_64
    | ~ spl4_141 ),
    inference(superposition,[],[f3295,f862]) ).

fof(f3295,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ less(v1,X2) )
    | ~ spl4_141 ),
    inference(avatar_component_clause,[],[f3294]) ).

fof(f19275,plain,
    ( spl4_331
    | ~ spl4_20
    | ~ spl4_257 ),
    inference(avatar_split_clause,[],[f17627,f14076,f272,f19272]) ).

fof(f19272,plain,
    ( spl4_331
  <=> geq(vd353,v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_331])]) ).

fof(f272,plain,
    ( spl4_20
  <=> ! [X0,X1] :
        ( geq(X1,X0)
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f17627,plain,
    ( geq(vd353,v1)
    | ~ spl4_20
    | ~ spl4_257 ),
    inference(resolution,[],[f14077,f273]) ).

fof(f273,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,X0)
        | geq(X1,X0) )
    | ~ spl4_20 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f19033,plain,
    ( spl4_330
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_71 ),
    inference(avatar_split_clause,[],[f1027,f891,f860,f288,f19030]) ).

fof(f19030,plain,
    ( spl4_330
  <=> less(vd356,vplus(vd355,v1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_330])]) ).

fof(f891,plain,
    ( spl4_71
  <=> ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).

fof(f1027,plain,
    ( less(vd356,vplus(vd355,v1))
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_71 ),
    inference(forward_demodulation,[],[f1023,f289]) ).

fof(f1023,plain,
    ( less(vd356,vplus(v1,vd355))
    | ~ spl4_64
    | ~ spl4_71 ),
    inference(superposition,[],[f892,f862]) ).

fof(f892,plain,
    ( ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1)))
    | ~ spl4_71 ),
    inference(avatar_component_clause,[],[f891]) ).

fof(f19028,plain,
    ( spl4_329
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_70 ),
    inference(avatar_split_clause,[],[f1011,f887,f860,f288,f19025]) ).

fof(f19025,plain,
    ( spl4_329
  <=> greater(vplus(vd355,v1),vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_329])]) ).

fof(f887,plain,
    ( spl4_70
  <=> ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).

fof(f1011,plain,
    ( greater(vplus(vd355,v1),vd356)
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_70 ),
    inference(forward_demodulation,[],[f1007,f289]) ).

fof(f1007,plain,
    ( greater(vplus(v1,vd355),vd356)
    | ~ spl4_64
    | ~ spl4_70 ),
    inference(superposition,[],[f888,f862]) ).

fof(f888,plain,
    ( ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0)
    | ~ spl4_70 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f19023,plain,
    ( spl4_328
    | ~ spl4_62
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f950,f860,f852,f19021]) ).

fof(f19021,plain,
    ( spl4_328
  <=> ! [X0] : vd356 != vplus(X0,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_328])]) ).

fof(f852,plain,
    ( spl4_62
  <=> ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).

fof(f950,plain,
    ( ! [X0] : vd356 != vplus(X0,vd355)
    | ~ spl4_62
    | ~ spl4_64 ),
    inference(superposition,[],[f853,f862]) ).

fof(f853,plain,
    ( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0
    | ~ spl4_62 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f19019,plain,
    ( spl4_327
    | ~ spl4_53
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f948,f860,f717,f19016]) ).

fof(f19016,plain,
    ( spl4_327
  <=> greater(vd355,sK3(vd356,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_327])]) ).

fof(f948,plain,
    ( greater(vd355,sK3(vd356,vd355))
    | ~ spl4_53
    | ~ spl4_64 ),
    inference(superposition,[],[f718,f862]) ).

fof(f19014,plain,
    ( spl4_326
    | ~ spl4_52
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f947,f860,f713,f19011]) ).

fof(f19011,plain,
    ( spl4_326
  <=> less(sK3(vd356,vd355),vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_326])]) ).

fof(f947,plain,
    ( less(sK3(vd356,vd355),vd355)
    | ~ spl4_52
    | ~ spl4_64 ),
    inference(superposition,[],[f714,f862]) ).

fof(f19009,plain,
    ( spl4_325
    | ~ spl4_22
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f927,f860,f292,f19007]) ).

fof(f19007,plain,
    ( spl4_325
  <=> ! [X0] : vd356 != vplus(vd355,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_325])]) ).

fof(f292,plain,
    ( spl4_22
  <=> ! [X2,X0,X3] : vplus(vplus(X0,X2),X3) != X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).

fof(f927,plain,
    ( ! [X0] : vd356 != vplus(vd355,X0)
    | ~ spl4_22
    | ~ spl4_64 ),
    inference(superposition,[],[f293,f862]) ).

fof(f293,plain,
    ( ! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0
    | ~ spl4_22 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f19005,plain,
    ( ~ spl4_324
    | ~ spl4_6
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f923,f860,f213,f19002]) ).

fof(f19002,plain,
    ( spl4_324
  <=> vd355 = sK3(vd356,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_324])]) ).

fof(f213,plain,
    ( spl4_6
  <=> ! [X0,X1] : vplus(X0,X1) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f923,plain,
    ( vd355 != sK3(vd356,vd355)
    | ~ spl4_6
    | ~ spl4_64 ),
    inference(superposition,[],[f214,f862]) ).

fof(f214,plain,
    ( ! [X0,X1] : vplus(X0,X1) != X1
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f18385,plain,
    ( spl4_323
    | ~ spl4_34
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f2354,f833,f370,f18382]) ).

fof(f18382,plain,
    ( spl4_323
  <=> vplus(vd353,vd356) = vplus(vplus(vd353,vd355),sK2(vplus(vd353,vd356),vplus(vd353,vd355))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_323])]) ).

fof(f370,plain,
    ( spl4_34
  <=> ! [X0,X1] :
        ( vplus(X1,sK2(X0,X1)) = X0
        | ~ less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).

fof(f2354,plain,
    ( vplus(vd353,vd356) = vplus(vplus(vd353,vd355),sK2(vplus(vd353,vd356),vplus(vd353,vd355)))
    | ~ spl4_34
    | ~ spl4_60 ),
    inference(resolution,[],[f835,f371]) ).

fof(f371,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,X0)
        | vplus(X1,sK2(X0,X1)) = X0 )
    | ~ spl4_34 ),
    inference(avatar_component_clause,[],[f370]) ).

fof(f18294,plain,
    ( ~ spl4_322
    | ~ spl4_57
    | spl4_253 ),
    inference(avatar_split_clause,[],[f14802,f14051,f797,f18291]) ).

fof(f18291,plain,
    ( spl4_322
  <=> greater(v1,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_322])]) ).

fof(f14051,plain,
    ( spl4_253
  <=> greater(v1,vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_253])]) ).

fof(f14802,plain,
    ( ~ greater(v1,vd353)
    | ~ spl4_57
    | spl4_253 ),
    inference(superposition,[],[f14053,f799]) ).

fof(f14053,plain,
    ( ~ greater(v1,vd354)
    | spl4_253 ),
    inference(avatar_component_clause,[],[f14051]) ).

fof(f17633,plain,
    ( ~ spl4_321
    | ~ spl4_57
    | spl4_255 ),
    inference(avatar_split_clause,[],[f17568,f14068,f797,f17630]) ).

fof(f17630,plain,
    ( spl4_321
  <=> v1 = vplus(vd353,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_321])]) ).

fof(f14068,plain,
    ( spl4_255
  <=> vplus(vd354,vd356) = v1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_255])]) ).

fof(f17568,plain,
    ( v1 != vplus(vd353,vd356)
    | ~ spl4_57
    | spl4_255 ),
    inference(forward_demodulation,[],[f14069,f799]) ).

fof(f14069,plain,
    ( vplus(vd354,vd356) != v1
    | spl4_255 ),
    inference(avatar_component_clause,[],[f14068]) ).

fof(f17567,plain,
    ( spl4_311
    | ~ spl4_257
    | ~ spl4_310 ),
    inference(avatar_split_clause,[],[f17566,f15458,f14076,f16712]) ).

fof(f16712,plain,
    ( spl4_311
  <=> greater(vd353,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_311])]) ).

fof(f17566,plain,
    ( greater(vd353,vd353)
    | ~ spl4_257
    | ~ spl4_310 ),
    inference(forward_demodulation,[],[f14077,f15460]) ).

fof(f17321,plain,
    ( spl4_320
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_154
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14372,f14076,f3350,f860,f789,f288,f17319]) ).

fof(f17319,plain,
    ( spl4_320
  <=> ! [X0] :
        ( less(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd353,vd355))
        | ~ less(X0,vd356) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_320])]) ).

fof(f789,plain,
    ( spl4_55
  <=> ! [X0] :
        ( greater(X0,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).

fof(f3350,plain,
    ( spl4_154
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_154])]) ).

fof(f14372,plain,
    ( ! [X0] :
        ( less(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd353,vd355))
        | ~ less(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_154
    | spl4_257 ),
    inference(forward_demodulation,[],[f14371,f289]) ).

fof(f14371,plain,
    ( ! [X0] :
        ( less(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd355,vd353))
        | ~ less(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_154
    | spl4_257 ),
    inference(forward_demodulation,[],[f4765,f14083]) ).

fof(f14083,plain,
    ( vd353 = v1
    | ~ spl4_55
    | spl4_257 ),
    inference(resolution,[],[f14078,f790]) ).

fof(f790,plain,
    ( ! [X0] :
        ( greater(X0,v1)
        | v1 = X0 )
    | ~ spl4_55 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f14078,plain,
    ( ~ greater(vd353,v1)
    | spl4_257 ),
    inference(avatar_component_clause,[],[f14076]) ).

fof(f4765,plain,
    ( ! [X0] :
        ( less(vplus(X0,vplus(v1,sK3(vd356,vd355))),vplus(vd355,v1))
        | ~ less(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_154 ),
    inference(forward_demodulation,[],[f4750,f289]) ).

fof(f4750,plain,
    ( ! [X0] :
        ( less(vplus(X0,vplus(v1,sK3(vd356,vd355))),vplus(v1,vd355))
        | ~ less(X0,vd356) )
    | ~ spl4_64
    | ~ spl4_154 ),
    inference(superposition,[],[f3351,f862]) ).

fof(f3351,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ less(X2,X0) )
    | ~ spl4_154 ),
    inference(avatar_component_clause,[],[f3350]) ).

fof(f17302,plain,
    ( spl4_311
    | ~ spl4_57
    | ~ spl4_99
    | ~ spl4_234 ),
    inference(avatar_split_clause,[],[f17264,f13034,f1385,f797,f16712]) ).

fof(f1385,plain,
    ( spl4_99
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vplus(X1,X0))
        | greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_99])]) ).

fof(f13034,plain,
    ( spl4_234
  <=> greater(vplus(vd353,vd355),vplus(vd355,vd354)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_234])]) ).

fof(f17264,plain,
    ( greater(vd353,vd353)
    | ~ spl4_57
    | ~ spl4_99
    | ~ spl4_234 ),
    inference(forward_demodulation,[],[f15111,f799]) ).

fof(f15111,plain,
    ( greater(vd353,vd354)
    | ~ spl4_99
    | ~ spl4_234 ),
    inference(resolution,[],[f13035,f1386]) ).

fof(f1386,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vplus(X1,X0))
        | greater(X2,X0) )
    | ~ spl4_99 ),
    inference(avatar_component_clause,[],[f1385]) ).

fof(f13035,plain,
    ( greater(vplus(vd353,vd355),vplus(vd355,vd354))
    | ~ spl4_234 ),
    inference(avatar_component_clause,[],[f13034]) ).

fof(f17301,plain,
    ( spl4_319
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_155
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14369,f14076,f3354,f860,f789,f288,f17299]) ).

fof(f17299,plain,
    ( spl4_319
  <=> ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | ~ greater(vd356,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_319])]) ).

fof(f3354,plain,
    ( spl4_155
  <=> ! [X2,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_155])]) ).

fof(f14369,plain,
    ( ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | ~ greater(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_155
    | spl4_257 ),
    inference(forward_demodulation,[],[f14368,f289]) ).

fof(f14368,plain,
    ( ! [X0] :
        ( greater(vplus(vd355,vd353),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | ~ greater(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_155
    | spl4_257 ),
    inference(forward_demodulation,[],[f4816,f14083]) ).

fof(f4816,plain,
    ( ! [X0] :
        ( greater(vplus(vd355,v1),vplus(X0,vplus(v1,sK3(vd356,vd355))))
        | ~ greater(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_155 ),
    inference(forward_demodulation,[],[f4787,f289]) ).

fof(f4787,plain,
    ( ! [X0] :
        ( greater(vplus(v1,vd355),vplus(X0,vplus(v1,sK3(vd356,vd355))))
        | ~ greater(vd356,X0) )
    | ~ spl4_64
    | ~ spl4_155 ),
    inference(superposition,[],[f3355,f862]) ).

fof(f3355,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ greater(X0,X2) )
    | ~ spl4_155 ),
    inference(avatar_component_clause,[],[f3354]) ).

fof(f17297,plain,
    ( spl4_318
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_156
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14364,f14076,f3358,f860,f789,f288,f17295]) ).

fof(f17295,plain,
    ( spl4_318
  <=> ! [X0] :
        ( greater(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd353,vd355))
        | ~ greater(X0,vd356) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_318])]) ).

fof(f3358,plain,
    ( spl4_156
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_156])]) ).

fof(f14364,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd353,vd355))
        | ~ greater(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_156
    | spl4_257 ),
    inference(forward_demodulation,[],[f14363,f289]) ).

fof(f14363,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd355,vd353))
        | ~ greater(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_156
    | spl4_257 ),
    inference(forward_demodulation,[],[f4876,f14083]) ).

fof(f4876,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vplus(v1,sK3(vd356,vd355))),vplus(vd355,v1))
        | ~ greater(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_156 ),
    inference(forward_demodulation,[],[f4861,f289]) ).

fof(f4861,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vplus(v1,sK3(vd356,vd355))),vplus(v1,vd355))
        | ~ greater(X0,vd356) )
    | ~ spl4_64
    | ~ spl4_156 ),
    inference(superposition,[],[f3359,f862]) ).

fof(f3359,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0) )
    | ~ spl4_156 ),
    inference(avatar_component_clause,[],[f3358]) ).

fof(f17293,plain,
    ( spl4_317
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_157
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14361,f14076,f3362,f860,f789,f288,f17291]) ).

fof(f17291,plain,
    ( spl4_317
  <=> ! [X0] :
        ( vplus(vd353,vd355) != vplus(X0,vplus(vd353,sK3(vd356,vd355)))
        | vd356 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_317])]) ).

fof(f3362,plain,
    ( spl4_157
  <=> ! [X2,X0,X1] :
        ( vplus(v1,vplus(X0,X1)) != vplus(X2,vplus(v1,X1))
        | X0 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_157])]) ).

fof(f14361,plain,
    ( ! [X0] :
        ( vplus(vd353,vd355) != vplus(X0,vplus(vd353,sK3(vd356,vd355)))
        | vd356 = X0 )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_157
    | spl4_257 ),
    inference(forward_demodulation,[],[f14360,f289]) ).

fof(f14360,plain,
    ( ! [X0] :
        ( vplus(vd355,vd353) != vplus(X0,vplus(vd353,sK3(vd356,vd355)))
        | vd356 = X0 )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_157
    | spl4_257 ),
    inference(forward_demodulation,[],[f4916,f14083]) ).

fof(f4916,plain,
    ( ! [X0] :
        ( vplus(vd355,v1) != vplus(X0,vplus(v1,sK3(vd356,vd355)))
        | vd356 = X0 )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_157 ),
    inference(forward_demodulation,[],[f4888,f289]) ).

fof(f4888,plain,
    ( ! [X0] :
        ( vplus(v1,vd355) != vplus(X0,vplus(v1,sK3(vd356,vd355)))
        | vd356 = X0 )
    | ~ spl4_64
    | ~ spl4_157 ),
    inference(superposition,[],[f3363,f862]) ).

fof(f3363,plain,
    ( ! [X2,X0,X1] :
        ( vplus(v1,vplus(X0,X1)) != vplus(X2,vplus(v1,X1))
        | X0 = X2 )
    | ~ spl4_157 ),
    inference(avatar_component_clause,[],[f3362]) ).

fof(f17289,plain,
    ( spl4_316
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_158
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14358,f14076,f3366,f860,f789,f288,f17287]) ).

fof(f17287,plain,
    ( spl4_316
  <=> ! [X0] :
        ( ~ less(vplus(vd353,vd355),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | less(vd356,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_316])]) ).

fof(f3366,plain,
    ( spl4_158
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_158])]) ).

fof(f14358,plain,
    ( ! [X0] :
        ( ~ less(vplus(vd353,vd355),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | less(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_158
    | spl4_257 ),
    inference(forward_demodulation,[],[f14357,f289]) ).

fof(f14357,plain,
    ( ! [X0] :
        ( ~ less(vplus(vd355,vd353),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | less(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_158
    | spl4_257 ),
    inference(forward_demodulation,[],[f4978,f14083]) ).

fof(f4978,plain,
    ( ! [X0] :
        ( ~ less(vplus(vd355,v1),vplus(X0,vplus(v1,sK3(vd356,vd355))))
        | less(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_158 ),
    inference(forward_demodulation,[],[f4945,f289]) ).

fof(f4945,plain,
    ( ! [X0] :
        ( ~ less(vplus(v1,vd355),vplus(X0,vplus(v1,sK3(vd356,vd355))))
        | less(vd356,X0) )
    | ~ spl4_64
    | ~ spl4_158 ),
    inference(superposition,[],[f3367,f862]) ).

fof(f3367,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | less(X0,X2) )
    | ~ spl4_158 ),
    inference(avatar_component_clause,[],[f3366]) ).

fof(f17285,plain,
    ( spl4_315
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_159
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14353,f14076,f3370,f860,f789,f288,f17283]) ).

fof(f17283,plain,
    ( spl4_315
  <=> ! [X0] :
        ( ~ less(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd353,vd355))
        | less(X0,vd356) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_315])]) ).

fof(f3370,plain,
    ( spl4_159
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_159])]) ).

fof(f14353,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd353,vd355))
        | less(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_159
    | spl4_257 ),
    inference(forward_demodulation,[],[f14352,f289]) ).

fof(f14352,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd355,vd353))
        | less(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_159
    | spl4_257 ),
    inference(forward_demodulation,[],[f5049,f14083]) ).

fof(f5049,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,vplus(v1,sK3(vd356,vd355))),vplus(vd355,v1))
        | less(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_159 ),
    inference(forward_demodulation,[],[f5030,f289]) ).

fof(f5030,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,vplus(v1,sK3(vd356,vd355))),vplus(v1,vd355))
        | less(X0,vd356) )
    | ~ spl4_64
    | ~ spl4_159 ),
    inference(superposition,[],[f3371,f862]) ).

fof(f3371,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | less(X2,X0) )
    | ~ spl4_159 ),
    inference(avatar_component_clause,[],[f3370]) ).

fof(f17281,plain,
    ( spl4_314
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_160
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14350,f14076,f3374,f860,f789,f288,f17279]) ).

fof(f17279,plain,
    ( spl4_314
  <=> ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | greater(vd356,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_314])]) ).

fof(f3374,plain,
    ( spl4_160
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_160])]) ).

fof(f14350,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | greater(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_160
    | spl4_257 ),
    inference(forward_demodulation,[],[f14349,f289]) ).

fof(f14349,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd355,vd353),vplus(X0,vplus(vd353,sK3(vd356,vd355))))
        | greater(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_160
    | spl4_257 ),
    inference(forward_demodulation,[],[f5105,f14083]) ).

fof(f5105,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd355,v1),vplus(X0,vplus(v1,sK3(vd356,vd355))))
        | greater(vd356,X0) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_160 ),
    inference(forward_demodulation,[],[f5074,f289]) ).

fof(f5074,plain,
    ( ! [X0] :
        ( ~ greater(vplus(v1,vd355),vplus(X0,vplus(v1,sK3(vd356,vd355))))
        | greater(vd356,X0) )
    | ~ spl4_64
    | ~ spl4_160 ),
    inference(superposition,[],[f3375,f862]) ).

fof(f3375,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | greater(X0,X2) )
    | ~ spl4_160 ),
    inference(avatar_component_clause,[],[f3374]) ).

fof(f17277,plain,
    ( spl4_313
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_161
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14345,f14076,f3378,f860,f789,f288,f17275]) ).

fof(f17275,plain,
    ( spl4_313
  <=> ! [X0] :
        ( ~ greater(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd353,vd355))
        | greater(X0,vd356) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_313])]) ).

fof(f3378,plain,
    ( spl4_161
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_161])]) ).

fof(f14345,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd353,vd355))
        | greater(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_161
    | spl4_257 ),
    inference(forward_demodulation,[],[f14344,f289]) ).

fof(f14344,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vplus(vd353,sK3(vd356,vd355))),vplus(vd355,vd353))
        | greater(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_161
    | spl4_257 ),
    inference(forward_demodulation,[],[f5171,f14083]) ).

fof(f5171,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vplus(v1,sK3(vd356,vd355))),vplus(vd355,v1))
        | greater(X0,vd356) )
    | ~ spl4_21
    | ~ spl4_64
    | ~ spl4_161 ),
    inference(forward_demodulation,[],[f5154,f289]) ).

fof(f5154,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vplus(v1,sK3(vd356,vd355))),vplus(v1,vd355))
        | greater(X0,vd356) )
    | ~ spl4_64
    | ~ spl4_161 ),
    inference(superposition,[],[f3379,f862]) ).

fof(f3379,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | greater(X2,X0) )
    | ~ spl4_161 ),
    inference(avatar_component_clause,[],[f3378]) ).

fof(f17263,plain,
    ( spl4_12
    | ~ spl4_7
    | ~ spl4_230 ),
    inference(avatar_split_clause,[],[f12834,f12829,f217,f238]) ).

fof(f238,plain,
    ( spl4_12
  <=> greater(vd353,vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f12829,plain,
    ( spl4_230
  <=> vd353 = vplus(vd354,sK3(vd354,vd353)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_230])]) ).

fof(f12834,plain,
    ( greater(vd353,vd354)
    | ~ spl4_7
    | ~ spl4_230 ),
    inference(superposition,[],[f218,f12831]) ).

fof(f12831,plain,
    ( vd353 = vplus(vd354,sK3(vd354,vd353))
    | ~ spl4_230 ),
    inference(avatar_component_clause,[],[f12829]) ).

fof(f17262,plain,
    ( ~ spl4_3
    | ~ spl4_311 ),
    inference(avatar_contradiction_clause,[],[f17256]) ).

fof(f17256,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_311 ),
    inference(resolution,[],[f16714,f202]) ).

fof(f16714,plain,
    ( greater(vd353,vd353)
    | ~ spl4_311 ),
    inference(avatar_component_clause,[],[f16712]) ).

fof(f17249,plain,
    ( spl4_32
    | ~ spl4_9
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f926,f860,f225,f350]) ).

fof(f350,plain,
    ( spl4_32
  <=> less(vd356,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).

fof(f926,plain,
    ( less(vd356,vd355)
    | ~ spl4_9
    | ~ spl4_64 ),
    inference(superposition,[],[f226,f862]) ).

fof(f17243,plain,
    ( spl4_10
    | ~ spl4_7
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f924,f860,f217,f229]) ).

fof(f229,plain,
    ( spl4_10
  <=> greater(vd355,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f924,plain,
    ( greater(vd355,vd356)
    | ~ spl4_7
    | ~ spl4_64 ),
    inference(superposition,[],[f218,f862]) ).

fof(f16892,plain,
    ( spl4_312
    | ~ spl4_21
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_64
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14450,f14076,f860,f789,f474,f288,f16889]) ).

fof(f16889,plain,
    ( spl4_312
  <=> vplus(vd353,vd355) = vplus(vd356,vplus(vd353,sK3(vd356,vd355))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_312])]) ).

fof(f474,plain,
    ( spl4_43
  <=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).

fof(f14450,plain,
    ( vplus(vd353,vd355) = vplus(vd356,vplus(vd353,sK3(vd356,vd355)))
    | ~ spl4_21
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_64
    | spl4_257 ),
    inference(forward_demodulation,[],[f14449,f289]) ).

fof(f14449,plain,
    ( vplus(vd355,vd353) = vplus(vd356,vplus(vd353,sK3(vd356,vd355)))
    | ~ spl4_21
    | ~ spl4_43
    | ~ spl4_55
    | ~ spl4_64
    | spl4_257 ),
    inference(forward_demodulation,[],[f951,f14083]) ).

fof(f951,plain,
    ( vplus(vd355,v1) = vplus(vd356,vplus(v1,sK3(vd356,vd355)))
    | ~ spl4_21
    | ~ spl4_43
    | ~ spl4_64 ),
    inference(forward_demodulation,[],[f941,f289]) ).

fof(f941,plain,
    ( vplus(v1,vd355) = vplus(vd356,vplus(v1,sK3(vd356,vd355)))
    | ~ spl4_43
    | ~ spl4_64 ),
    inference(superposition,[],[f475,f862]) ).

fof(f475,plain,
    ( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1))
    | ~ spl4_43 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f16715,plain,
    ( spl4_311
    | ~ spl4_227
    | ~ spl4_282 ),
    inference(avatar_split_clause,[],[f15710,f15227,f12483,f16712]) ).

fof(f12483,plain,
    ( spl4_227
  <=> greater(vplus(vd353,vd356),vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_227])]) ).

fof(f15227,plain,
    ( spl4_282
  <=> ! [X0] :
        ( ~ greater(vplus(X0,vd356),vplus(vd353,vd355))
        | greater(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_282])]) ).

fof(f15710,plain,
    ( greater(vd353,vd353)
    | ~ spl4_227
    | ~ spl4_282 ),
    inference(resolution,[],[f15228,f12485]) ).

fof(f12485,plain,
    ( greater(vplus(vd353,vd356),vplus(vd353,vd355))
    | ~ spl4_227 ),
    inference(avatar_component_clause,[],[f12483]) ).

fof(f15228,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vd356),vplus(vd353,vd355))
        | greater(X0,vd353) )
    | ~ spl4_282 ),
    inference(avatar_component_clause,[],[f15227]) ).

fof(f15840,plain,
    ( spl4_65
    | ~ spl4_274 ),
    inference(avatar_split_clause,[],[f15407,f15194,f866]) ).

fof(f15194,plain,
    ( spl4_274
  <=> ! [X0] :
        ( vplus(vd353,vd355) != vplus(vd353,X0)
        | vd356 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_274])]) ).

fof(f15407,plain,
    ( vd355 = vd356
    | ~ spl4_274 ),
    inference(equality_resolution,[],[f15195]) ).

fof(f15195,plain,
    ( ! [X0] :
        ( vplus(vd353,vd355) != vplus(vd353,X0)
        | vd356 = X0 )
    | ~ spl4_274 ),
    inference(avatar_component_clause,[],[f15194]) ).

fof(f15461,plain,
    ( spl4_310
    | ~ spl4_55
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14083,f14076,f789,f15458]) ).

fof(f15350,plain,
    ( spl4_309
    | ~ spl4_99
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12614,f12427,f1385,f15348]) ).

fof(f15348,plain,
    ( spl4_309
  <=> ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(vd356,X0))
        | greater(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_309])]) ).

fof(f12427,plain,
    ( spl4_226
  <=> vplus(vd353,vd355) = vplus(vd353,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_226])]) ).

fof(f12614,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(vd356,X0))
        | greater(vd353,X0) )
    | ~ spl4_99
    | ~ spl4_226 ),
    inference(superposition,[],[f1386,f12429]) ).

fof(f12429,plain,
    ( vplus(vd353,vd355) = vplus(vd353,vd356)
    | ~ spl4_226 ),
    inference(avatar_component_clause,[],[f12427]) ).

fof(f15346,plain,
    ( spl4_308
    | ~ spl4_99
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12613,f12427,f1385,f15344]) ).

fof(f15344,plain,
    ( spl4_308
  <=> ! [X0] :
        ( ~ greater(vplus(X0,vd353),vplus(vd353,vd355))
        | greater(X0,vd356) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_308])]) ).

fof(f12613,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vd353),vplus(vd353,vd355))
        | greater(X0,vd356) )
    | ~ spl4_99
    | ~ spl4_226 ),
    inference(superposition,[],[f1386,f12429]) ).

fof(f15342,plain,
    ( spl4_307
    | ~ spl4_98
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12612,f12427,f1381,f15340]) ).

fof(f15340,plain,
    ( spl4_307
  <=> ! [X0] :
        ( ~ greater(vplus(vd356,X0),vplus(vd353,vd355))
        | greater(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_307])]) ).

fof(f1381,plain,
    ( spl4_98
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X0),vplus(X2,X1))
        | greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_98])]) ).

fof(f12612,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd356,X0),vplus(vd353,vd355))
        | greater(X0,vd353) )
    | ~ spl4_98
    | ~ spl4_226 ),
    inference(superposition,[],[f1382,f12429]) ).

fof(f1382,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X0),vplus(X2,X1))
        | greater(X0,X2) )
    | ~ spl4_98 ),
    inference(avatar_component_clause,[],[f1381]) ).

fof(f15338,plain,
    ( spl4_306
    | ~ spl4_98
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12611,f12427,f1381,f15336]) ).

fof(f15336,plain,
    ( spl4_306
  <=> ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vd353))
        | greater(vd356,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_306])]) ).

fof(f12611,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vd353))
        | greater(vd356,X0) )
    | ~ spl4_98
    | ~ spl4_226 ),
    inference(superposition,[],[f1382,f12429]) ).

fof(f15334,plain,
    ( spl4_305
    | ~ spl4_97
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12610,f12427,f1377,f15332]) ).

fof(f15332,plain,
    ( spl4_305
  <=> ! [X0] :
        ( ~ less(vplus(vd353,vd355),vplus(vd356,X0))
        | less(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_305])]) ).

fof(f1377,plain,
    ( spl4_97
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X1),vplus(X1,X0))
        | less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_97])]) ).

fof(f12610,plain,
    ( ! [X0] :
        ( ~ less(vplus(vd353,vd355),vplus(vd356,X0))
        | less(vd353,X0) )
    | ~ spl4_97
    | ~ spl4_226 ),
    inference(superposition,[],[f1378,f12429]) ).

fof(f1378,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X1),vplus(X1,X0))
        | less(X2,X0) )
    | ~ spl4_97 ),
    inference(avatar_component_clause,[],[f1377]) ).

fof(f15330,plain,
    ( spl4_304
    | ~ spl4_97
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12609,f12427,f1377,f15328]) ).

fof(f15328,plain,
    ( spl4_304
  <=> ! [X0] :
        ( ~ less(vplus(X0,vd353),vplus(vd353,vd355))
        | less(X0,vd356) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_304])]) ).

fof(f12609,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,vd353),vplus(vd353,vd355))
        | less(X0,vd356) )
    | ~ spl4_97
    | ~ spl4_226 ),
    inference(superposition,[],[f1378,f12429]) ).

fof(f15326,plain,
    ( spl4_303
    | ~ spl4_96
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12608,f12427,f1373,f15324]) ).

fof(f15324,plain,
    ( spl4_303
  <=> ! [X0] :
        ( ~ less(vplus(vd356,X0),vplus(vd353,vd355))
        | less(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_303])]) ).

fof(f1373,plain,
    ( spl4_96
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X1,X0),vplus(X2,X1))
        | less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_96])]) ).

fof(f12608,plain,
    ( ! [X0] :
        ( ~ less(vplus(vd356,X0),vplus(vd353,vd355))
        | less(X0,vd353) )
    | ~ spl4_96
    | ~ spl4_226 ),
    inference(superposition,[],[f1374,f12429]) ).

fof(f1374,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X1,X0),vplus(X2,X1))
        | less(X0,X2) )
    | ~ spl4_96 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f15316,plain,
    ( spl4_302
    | ~ spl4_96
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12607,f12427,f1373,f15314]) ).

fof(f15314,plain,
    ( spl4_302
  <=> ! [X0] :
        ( ~ less(vplus(vd353,vd355),vplus(X0,vd353))
        | less(vd356,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_302])]) ).

fof(f12607,plain,
    ( ! [X0] :
        ( ~ less(vplus(vd353,vd355),vplus(X0,vd353))
        | less(vd356,X0) )
    | ~ spl4_96
    | ~ spl4_226 ),
    inference(superposition,[],[f1374,f12429]) ).

fof(f15312,plain,
    ( spl4_301
    | ~ spl4_95
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12606,f12427,f1369,f15310]) ).

fof(f15310,plain,
    ( spl4_301
  <=> ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(vd356,X0))
        | ~ greater(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_301])]) ).

fof(f1369,plain,
    ( spl4_95
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_95])]) ).

fof(f12606,plain,
    ( ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(vd356,X0))
        | ~ greater(vd353,X0) )
    | ~ spl4_95
    | ~ spl4_226 ),
    inference(superposition,[],[f1370,f12429]) ).

fof(f1370,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_95 ),
    inference(avatar_component_clause,[],[f1369]) ).

fof(f15308,plain,
    ( spl4_300
    | ~ spl4_95
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12605,f12427,f1369,f15306]) ).

fof(f15306,plain,
    ( spl4_300
  <=> ! [X0] :
        ( greater(vplus(X0,vd353),vplus(vd353,vd355))
        | ~ greater(X0,vd356) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_300])]) ).

fof(f12605,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vd353),vplus(vd353,vd355))
        | ~ greater(X0,vd356) )
    | ~ spl4_95
    | ~ spl4_226 ),
    inference(superposition,[],[f1370,f12429]) ).

fof(f15304,plain,
    ( spl4_299
    | ~ spl4_94
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12604,f12427,f1365,f15302]) ).

fof(f15302,plain,
    ( spl4_299
  <=> ! [X0] :
        ( greater(vplus(vd356,X0),vplus(vd353,vd355))
        | ~ greater(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_299])]) ).

fof(f1365,plain,
    ( spl4_94
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_94])]) ).

fof(f12604,plain,
    ( ! [X0] :
        ( greater(vplus(vd356,X0),vplus(vd353,vd355))
        | ~ greater(X0,vd353) )
    | ~ spl4_94
    | ~ spl4_226 ),
    inference(superposition,[],[f1366,f12429]) ).

fof(f1366,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X0,X2) )
    | ~ spl4_94 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f15300,plain,
    ( spl4_298
    | ~ spl4_94
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12603,f12427,f1365,f15298]) ).

fof(f15298,plain,
    ( spl4_298
  <=> ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(X0,vd353))
        | ~ greater(vd356,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_298])]) ).

fof(f12603,plain,
    ( ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(X0,vd353))
        | ~ greater(vd356,X0) )
    | ~ spl4_94
    | ~ spl4_226 ),
    inference(superposition,[],[f1366,f12429]) ).

fof(f15296,plain,
    ( spl4_297
    | ~ spl4_93
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12602,f12427,f1358,f15294]) ).

fof(f15294,plain,
    ( spl4_297
  <=> ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ greater(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_297])]) ).

fof(f1358,plain,
    ( spl4_93
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | less(vplus(X1,X2),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_93])]) ).

fof(f12602,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ greater(X0,vd353) )
    | ~ spl4_93
    | ~ spl4_226 ),
    inference(superposition,[],[f1359,f12429]) ).

fof(f1359,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X1,X2),vplus(X0,X2))
        | ~ greater(X0,X1) )
    | ~ spl4_93 ),
    inference(avatar_component_clause,[],[f1358]) ).

fof(f15292,plain,
    ( spl4_296
    | ~ spl4_93
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12601,f12427,f1358,f15290]) ).

fof(f15290,plain,
    ( spl4_296
  <=> ! [X0] :
        ( less(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ greater(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_296])]) ).

fof(f12601,plain,
    ( ! [X0] :
        ( less(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ greater(vd353,X0) )
    | ~ spl4_93
    | ~ spl4_226 ),
    inference(superposition,[],[f1359,f12429]) ).

fof(f15288,plain,
    ( spl4_295
    | ~ spl4_92
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12600,f12427,f1354,f15286]) ).

fof(f15286,plain,
    ( spl4_295
  <=> ! [X0] :
        ( geq(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ greater(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_295])]) ).

fof(f1354,plain,
    ( spl4_92
  <=> ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | geq(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).

fof(f12600,plain,
    ( ! [X0] :
        ( geq(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ greater(X0,vd353) )
    | ~ spl4_92
    | ~ spl4_226 ),
    inference(superposition,[],[f1355,f12429]) ).

fof(f1355,plain,
    ( ! [X2,X0,X1] :
        ( geq(vplus(X0,X2),vplus(X1,X2))
        | ~ greater(X0,X1) )
    | ~ spl4_92 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f15284,plain,
    ( spl4_294
    | ~ spl4_92
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12599,f12427,f1354,f15282]) ).

fof(f15282,plain,
    ( spl4_294
  <=> ! [X0] :
        ( geq(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ greater(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_294])]) ).

fof(f12599,plain,
    ( ! [X0] :
        ( geq(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ greater(vd353,X0) )
    | ~ spl4_92
    | ~ spl4_226 ),
    inference(superposition,[],[f1355,f12429]) ).

fof(f15280,plain,
    ( spl4_293
    | ~ spl4_91
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12598,f12427,f1350,f15278]) ).

fof(f15278,plain,
    ( spl4_293
  <=> ! [X0] :
        ( less(vplus(vd353,vd355),vplus(vd356,X0))
        | ~ less(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_293])]) ).

fof(f1350,plain,
    ( spl4_91
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).

fof(f12598,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vd355),vplus(vd356,X0))
        | ~ less(vd353,X0) )
    | ~ spl4_91
    | ~ spl4_226 ),
    inference(superposition,[],[f1351,f12429]) ).

fof(f1351,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_91 ),
    inference(avatar_component_clause,[],[f1350]) ).

fof(f15271,plain,
    ( spl4_292
    | ~ spl4_91
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12597,f12427,f1350,f15269]) ).

fof(f15269,plain,
    ( spl4_292
  <=> ! [X0] :
        ( less(vplus(X0,vd353),vplus(vd353,vd355))
        | ~ less(X0,vd356) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_292])]) ).

fof(f12597,plain,
    ( ! [X0] :
        ( less(vplus(X0,vd353),vplus(vd353,vd355))
        | ~ less(X0,vd356) )
    | ~ spl4_91
    | ~ spl4_226 ),
    inference(superposition,[],[f1351,f12429]) ).

fof(f15267,plain,
    ( spl4_291
    | ~ spl4_90
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12596,f12427,f1346,f15265]) ).

fof(f15265,plain,
    ( spl4_291
  <=> ! [X0] :
        ( less(vplus(vd356,X0),vplus(vd353,vd355))
        | ~ less(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_291])]) ).

fof(f1346,plain,
    ( spl4_90
  <=> ! [X2,X0,X1] :
        ( less(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).

fof(f12596,plain,
    ( ! [X0] :
        ( less(vplus(vd356,X0),vplus(vd353,vd355))
        | ~ less(X0,vd353) )
    | ~ spl4_90
    | ~ spl4_226 ),
    inference(superposition,[],[f1347,f12429]) ).

fof(f1347,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_90 ),
    inference(avatar_component_clause,[],[f1346]) ).

fof(f15263,plain,
    ( spl4_290
    | ~ spl4_90
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12595,f12427,f1346,f15261]) ).

fof(f15261,plain,
    ( spl4_290
  <=> ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd353))
        | ~ less(vd356,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_290])]) ).

fof(f12595,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd353))
        | ~ less(vd356,X0) )
    | ~ spl4_90
    | ~ spl4_226 ),
    inference(superposition,[],[f1347,f12429]) ).

fof(f15259,plain,
    ( spl4_289
    | ~ spl4_89
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12594,f12427,f1342,f15257]) ).

fof(f15257,plain,
    ( spl4_289
  <=> ! [X0] :
        ( ~ greater(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ less(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_289])]) ).

fof(f12594,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ less(X0,vd353) )
    | ~ spl4_89
    | ~ spl4_226 ),
    inference(superposition,[],[f1343,f12429]) ).

fof(f15255,plain,
    ( spl4_288
    | ~ spl4_89
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12593,f12427,f1342,f15253]) ).

fof(f15253,plain,
    ( spl4_288
  <=> ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ less(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_288])]) ).

fof(f12593,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ less(vd353,X0) )
    | ~ spl4_89
    | ~ spl4_226 ),
    inference(superposition,[],[f1343,f12429]) ).

fof(f15251,plain,
    ( spl4_287
    | ~ spl4_88
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12592,f12427,f1338,f15249]) ).

fof(f15249,plain,
    ( spl4_287
  <=> ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ less(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_287])]) ).

fof(f12592,plain,
    ( ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ less(X0,vd353) )
    | ~ spl4_88
    | ~ spl4_226 ),
    inference(superposition,[],[f1339,f12429]) ).

fof(f15247,plain,
    ( spl4_286
    | ~ spl4_88
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12591,f12427,f1338,f15245]) ).

fof(f15245,plain,
    ( spl4_286
  <=> ! [X0] :
        ( greater(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ less(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_286])]) ).

fof(f12591,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ less(vd353,X0) )
    | ~ spl4_88
    | ~ spl4_226 ),
    inference(superposition,[],[f1339,f12429]) ).

fof(f15243,plain,
    ( spl4_285
    | ~ spl4_87
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12590,f12427,f1334,f15241]) ).

fof(f15241,plain,
    ( spl4_285
  <=> ! [X0] :
        ( leq(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ less(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_285])]) ).

fof(f1334,plain,
    ( spl4_87
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | leq(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).

fof(f12590,plain,
    ( ! [X0] :
        ( leq(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ less(X0,vd353) )
    | ~ spl4_87
    | ~ spl4_226 ),
    inference(superposition,[],[f1335,f12429]) ).

fof(f1335,plain,
    ( ! [X2,X0,X1] :
        ( leq(vplus(X0,X2),vplus(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_87 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f15239,plain,
    ( spl4_284
    | ~ spl4_87
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12589,f12427,f1334,f15237]) ).

fof(f15237,plain,
    ( spl4_284
  <=> ! [X0] :
        ( leq(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ less(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_284])]) ).

fof(f12589,plain,
    ( ! [X0] :
        ( leq(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ less(vd353,X0) )
    | ~ spl4_87
    | ~ spl4_226 ),
    inference(superposition,[],[f1335,f12429]) ).

fof(f15235,plain,
    ( spl4_283
    | ~ spl4_86
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12588,f12427,f1330,f15233]) ).

fof(f15233,plain,
    ( spl4_283
  <=> ! [X0] :
        ( vplus(vd353,vd355) != vplus(X0,vd353)
        | vd356 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_283])]) ).

fof(f1330,plain,
    ( spl4_86
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(X1,X0)
        | X1 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).

fof(f12588,plain,
    ( ! [X0] :
        ( vplus(vd353,vd355) != vplus(X0,vd353)
        | vd356 = X0 )
    | ~ spl4_86
    | ~ spl4_226 ),
    inference(superposition,[],[f1331,f12429]) ).

fof(f1331,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(X1,X0)
        | X1 = X2 )
    | ~ spl4_86 ),
    inference(avatar_component_clause,[],[f1330]) ).

fof(f15230,plain,
    ( ~ spl4_37
    | ~ spl4_2
    | ~ spl4_239 ),
    inference(avatar_split_clause,[],[f13099,f13093,f197,f382]) ).

fof(f382,plain,
    ( spl4_37
  <=> less(vd354,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).

fof(f197,plain,
    ( spl4_2
  <=> ! [X1] : ~ less(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f13093,plain,
    ( spl4_239
  <=> ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd355))
        | ~ less(vd354,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_239])]) ).

fof(f13099,plain,
    ( ~ less(vd354,vd353)
    | ~ spl4_2
    | ~ spl4_239 ),
    inference(resolution,[],[f13094,f198]) ).

fof(f198,plain,
    ( ! [X1] : ~ less(X1,X1)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f13094,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd355))
        | ~ less(vd354,X0) )
    | ~ spl4_239 ),
    inference(avatar_component_clause,[],[f13093]) ).

fof(f15229,plain,
    ( spl4_282
    | ~ spl4_41
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12569,f12427,f402,f15227]) ).

fof(f402,plain,
    ( spl4_41
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ greater(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f12569,plain,
    ( ! [X0] :
        ( ~ greater(vplus(X0,vd356),vplus(vd353,vd355))
        | greater(X0,vd353) )
    | ~ spl4_41
    | ~ spl4_226 ),
    inference(superposition,[],[f403,f12429]) ).

fof(f403,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,X2),vplus(X1,X2))
        | greater(X0,X1) )
    | ~ spl4_41 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f15225,plain,
    ( spl4_281
    | ~ spl4_41
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12568,f12427,f402,f15223]) ).

fof(f15223,plain,
    ( spl4_281
  <=> ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vd356))
        | greater(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_281])]) ).

fof(f12568,plain,
    ( ! [X0] :
        ( ~ greater(vplus(vd353,vd355),vplus(X0,vd356))
        | greater(vd353,X0) )
    | ~ spl4_41
    | ~ spl4_226 ),
    inference(superposition,[],[f403,f12429]) ).

fof(f15221,plain,
    ( spl4_280
    | ~ spl4_40
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12567,f12427,f398,f15219]) ).

fof(f15219,plain,
    ( spl4_280
  <=> ! [X0] :
        ( ~ less(vplus(X0,vd356),vplus(vd353,vd355))
        | less(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_280])]) ).

fof(f398,plain,
    ( spl4_40
  <=> ! [X2,X0,X1] :
        ( less(X0,X1)
        | ~ less(vplus(X0,X2),vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f12567,plain,
    ( ! [X0] :
        ( ~ less(vplus(X0,vd356),vplus(vd353,vd355))
        | less(X0,vd353) )
    | ~ spl4_40
    | ~ spl4_226 ),
    inference(superposition,[],[f399,f12429]) ).

fof(f399,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X0,X2),vplus(X1,X2))
        | less(X0,X1) )
    | ~ spl4_40 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f15217,plain,
    ( spl4_279
    | ~ spl4_40
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12566,f12427,f398,f15215]) ).

fof(f15215,plain,
    ( spl4_279
  <=> ! [X0] :
        ( ~ less(vplus(vd353,vd355),vplus(X0,vd356))
        | less(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_279])]) ).

fof(f12566,plain,
    ( ! [X0] :
        ( ~ less(vplus(vd353,vd355),vplus(X0,vd356))
        | less(vd353,X0) )
    | ~ spl4_40
    | ~ spl4_226 ),
    inference(superposition,[],[f399,f12429]) ).

fof(f15213,plain,
    ( spl4_278
    | ~ spl4_39
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12565,f12427,f394,f15211]) ).

fof(f15211,plain,
    ( spl4_278
  <=> ! [X0] :
        ( vplus(vd353,vd355) != vplus(X0,vd356)
        | vd353 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_278])]) ).

fof(f394,plain,
    ( spl4_39
  <=> ! [X2,X0,X1] :
        ( X0 = X1
        | vplus(X0,X2) != vplus(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).

fof(f12565,plain,
    ( ! [X0] :
        ( vplus(vd353,vd355) != vplus(X0,vd356)
        | vd353 = X0 )
    | ~ spl4_39
    | ~ spl4_226 ),
    inference(superposition,[],[f395,f12429]) ).

fof(f395,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(X1,X2)
        | X0 = X1 )
    | ~ spl4_39 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f15209,plain,
    ( spl4_277
    | ~ spl4_38
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12563,f12427,f390,f15207]) ).

fof(f15207,plain,
    ( spl4_277
  <=> ! [X0] :
        ( greater(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ greater(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_277])]) ).

fof(f390,plain,
    ( spl4_38
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X2))
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).

fof(f12563,plain,
    ( ! [X0] :
        ( greater(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ greater(X0,vd353) )
    | ~ spl4_38
    | ~ spl4_226 ),
    inference(superposition,[],[f391,f12429]) ).

fof(f391,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X2))
        | ~ greater(X0,X1) )
    | ~ spl4_38 ),
    inference(avatar_component_clause,[],[f390]) ).

fof(f15205,plain,
    ( spl4_276
    | ~ spl4_38
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12562,f12427,f390,f15203]) ).

fof(f15203,plain,
    ( spl4_276
  <=> ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ greater(vd353,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_276])]) ).

fof(f12562,plain,
    ( ! [X0] :
        ( greater(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ greater(vd353,X0) )
    | ~ spl4_38
    | ~ spl4_226 ),
    inference(superposition,[],[f391,f12429]) ).

fof(f15201,plain,
    ( spl4_275
    | ~ spl4_36
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12561,f12427,f378,f15199]) ).

fof(f15199,plain,
    ( spl4_275
  <=> ! [X0] :
        ( less(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ less(X0,vd353) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_275])]) ).

fof(f378,plain,
    ( spl4_36
  <=> ! [X2,X0,X1] :
        ( less(vplus(X0,X2),vplus(X1,X2))
        | ~ less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f12561,plain,
    ( ! [X0] :
        ( less(vplus(X0,vd356),vplus(vd353,vd355))
        | ~ less(X0,vd353) )
    | ~ spl4_36
    | ~ spl4_226 ),
    inference(superposition,[],[f379,f12429]) ).

fof(f379,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X0,X2),vplus(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f15197,plain,
    ( spl4_229
    | ~ spl4_36
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12560,f12427,f378,f12782]) ).

fof(f12782,plain,
    ( spl4_229
  <=> ! [X0] :
        ( ~ less(vd353,X0)
        | less(vplus(vd353,vd355),vplus(X0,vd356)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_229])]) ).

fof(f12560,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ less(vd353,X0) )
    | ~ spl4_36
    | ~ spl4_226 ),
    inference(superposition,[],[f379,f12429]) ).

fof(f15196,plain,
    ( spl4_274
    | ~ spl4_33
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12559,f12427,f366,f15194]) ).

fof(f366,plain,
    ( spl4_33
  <=> ! [X2,X0,X1] :
        ( vplus(X2,X0) != vplus(X2,X1)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).

fof(f12559,plain,
    ( ! [X0] :
        ( vplus(vd353,vd355) != vplus(vd353,X0)
        | vd356 = X0 )
    | ~ spl4_33
    | ~ spl4_226 ),
    inference(superposition,[],[f367,f12429]) ).

fof(f367,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X2,X0) != vplus(X2,X1)
        | X0 = X1 )
    | ~ spl4_33 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f15190,plain,
    ( spl4_240
    | ~ spl4_98
    | ~ spl4_236 ),
    inference(avatar_split_clause,[],[f13068,f13044,f1381,f13133]) ).

fof(f13133,plain,
    ( spl4_240
  <=> greater(vd354,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_240])]) ).

fof(f13044,plain,
    ( spl4_236
  <=> greater(vplus(vd355,vd354),vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_236])]) ).

fof(f13068,plain,
    ( greater(vd354,vd353)
    | ~ spl4_98
    | ~ spl4_236 ),
    inference(resolution,[],[f13046,f1382]) ).

fof(f13046,plain,
    ( greater(vplus(vd355,vd354),vplus(vd353,vd355))
    | ~ spl4_236 ),
    inference(avatar_component_clause,[],[f13044]) ).

fof(f15110,plain,
    ( spl4_273
    | ~ spl4_67
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12580,f12427,f875,f15108]) ).

fof(f15108,plain,
    ( spl4_273
  <=> ! [X0] : vd356 != vplus(X0,vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_273])]) ).

fof(f12580,plain,
    ( ! [X0] : vd356 != vplus(X0,vplus(vd353,vd355))
    | ~ spl4_67
    | ~ spl4_226 ),
    inference(superposition,[],[f876,f12429]) ).

fof(f15106,plain,
    ( spl4_272
    | ~ spl4_61
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12578,f12427,f848,f15104]) ).

fof(f15104,plain,
    ( spl4_272
  <=> ! [X0] : vd356 != vplus(vplus(vd353,vd355),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_272])]) ).

fof(f12578,plain,
    ( ! [X0] : vd356 != vplus(vplus(vd353,vd355),X0)
    | ~ spl4_61
    | ~ spl4_226 ),
    inference(superposition,[],[f849,f12429]) ).

fof(f15102,plain,
    ( spl4_162
    | ~ spl4_271
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_73
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14436,f14076,f1033,f860,f789,f15099,f4049]) ).

fof(f4049,plain,
    ( spl4_162
  <=> vd353 = vd356 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_162])]) ).

fof(f15099,plain,
    ( spl4_271
  <=> vd353 = vd355 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_271])]) ).

fof(f14436,plain,
    ( vd353 != vd355
    | vd353 = vd356
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_73
    | spl4_257 ),
    inference(inner_rewriting,[],[f14435]) ).

fof(f14435,plain,
    ( vd353 != vd355
    | vd355 = vd356
    | ~ spl4_55
    | ~ spl4_64
    | ~ spl4_73
    | spl4_257 ),
    inference(forward_demodulation,[],[f1114,f14083]) ).

fof(f15073,plain,
    ( spl4_58
    | ~ spl4_97
    | ~ spl4_235 ),
    inference(avatar_split_clause,[],[f13058,f13039,f1377,f801]) ).

fof(f801,plain,
    ( spl4_58
  <=> less(vd353,vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).

fof(f13039,plain,
    ( spl4_235
  <=> less(vplus(vd353,vd355),vplus(vd355,vd354)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_235])]) ).

fof(f13058,plain,
    ( less(vd353,vd354)
    | ~ spl4_97
    | ~ spl4_235 ),
    inference(resolution,[],[f13041,f1378]) ).

fof(f13041,plain,
    ( less(vplus(vd353,vd355),vplus(vd355,vd354))
    | ~ spl4_235 ),
    inference(avatar_component_clause,[],[f13039]) ).

fof(f15065,plain,
    ( ~ spl4_270
    | ~ spl4_55
    | spl4_255
    | spl4_257 ),
    inference(avatar_split_clause,[],[f14147,f14076,f14068,f789,f15062]) ).

fof(f15062,plain,
    ( spl4_270
  <=> vd353 = vplus(vd354,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_270])]) ).

fof(f14147,plain,
    ( vd353 != vplus(vd354,vd356)
    | ~ spl4_55
    | spl4_255
    | spl4_257 ),
    inference(forward_demodulation,[],[f14069,f14083]) ).

fof(f15051,plain,
    ( spl4_269
    | ~ spl4_53
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12577,f12427,f717,f15048]) ).

fof(f15048,plain,
    ( spl4_269
  <=> greater(vplus(vd353,vd355),vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_269])]) ).

fof(f12577,plain,
    ( greater(vplus(vd353,vd355),vd356)
    | ~ spl4_53
    | ~ spl4_226 ),
    inference(superposition,[],[f718,f12429]) ).

fof(f15046,plain,
    ( spl4_228
    | ~ spl4_52
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12576,f12427,f713,f12746]) ).

fof(f12746,plain,
    ( spl4_228
  <=> less(vd356,vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_228])]) ).

fof(f12576,plain,
    ( less(vd356,vplus(vd353,vd355))
    | ~ spl4_52
    | ~ spl4_226 ),
    inference(superposition,[],[f714,f12429]) ).

fof(f14806,plain,
    ( ~ spl4_57
    | spl4_233 ),
    inference(avatar_contradiction_clause,[],[f14805]) ).

fof(f14805,plain,
    ( $false
    | ~ spl4_57
    | spl4_233 ),
    inference(trivial_inequality_removal,[],[f14797]) ).

fof(f14797,plain,
    ( vplus(vd353,vd355) != vplus(vd353,vd355)
    | ~ spl4_57
    | spl4_233 ),
    inference(superposition,[],[f13031,f799]) ).

fof(f13031,plain,
    ( vplus(vd353,vd355) != vplus(vd354,vd355)
    | spl4_233 ),
    inference(avatar_component_clause,[],[f13029]) ).

fof(f13029,plain,
    ( spl4_233
  <=> vplus(vd353,vd355) = vplus(vd354,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_233])]) ).

fof(f14146,plain,
    ( ~ spl4_12
    | ~ spl4_95
    | spl4_234 ),
    inference(avatar_split_clause,[],[f13052,f13034,f1369,f238]) ).

fof(f13052,plain,
    ( ~ greater(vd353,vd354)
    | ~ spl4_95
    | spl4_234 ),
    inference(resolution,[],[f13036,f1370]) ).

fof(f13036,plain,
    ( ~ greater(vplus(vd353,vd355),vplus(vd355,vd354))
    | spl4_234 ),
    inference(avatar_component_clause,[],[f13034]) ).

fof(f14145,plain,
    ( spl4_268
    | ~ spl4_52
    | ~ spl4_230 ),
    inference(avatar_split_clause,[],[f12856,f12829,f713,f14142]) ).

fof(f14142,plain,
    ( spl4_268
  <=> less(sK3(vd354,vd353),vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_268])]) ).

fof(f12856,plain,
    ( less(sK3(vd354,vd353),vd353)
    | ~ spl4_52
    | ~ spl4_230 ),
    inference(superposition,[],[f714,f12831]) ).

fof(f14140,plain,
    ( spl4_267
    | ~ spl4_22
    | ~ spl4_230 ),
    inference(avatar_split_clause,[],[f12837,f12829,f292,f14138]) ).

fof(f14138,plain,
    ( spl4_267
  <=> ! [X0] : vd354 != vplus(vd353,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_267])]) ).

fof(f12837,plain,
    ( ! [X0] : vd354 != vplus(vd353,X0)
    | ~ spl4_22
    | ~ spl4_230 ),
    inference(superposition,[],[f293,f12831]) ).

fof(f14136,plain,
    ( ~ spl4_266
    | ~ spl4_6
    | ~ spl4_230 ),
    inference(avatar_split_clause,[],[f12833,f12829,f213,f14133]) ).

fof(f14133,plain,
    ( spl4_266
  <=> vd353 = sK3(vd354,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_266])]) ).

fof(f12833,plain,
    ( vd353 != sK3(vd354,vd353)
    | ~ spl4_6
    | ~ spl4_230 ),
    inference(superposition,[],[f214,f12831]) ).

fof(f14131,plain,
    ( spl4_265
    | ~ spl4_2
    | ~ spl4_72 ),
    inference(avatar_split_clause,[],[f1085,f1029,f197,f14129]) ).

fof(f14129,plain,
    ( spl4_265
  <=> ! [X0,X1] : ~ less(vplus(X0,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_265])]) ).

fof(f1029,plain,
    ( spl4_72
  <=> ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | less(X0,vplus(X1,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).

fof(f1085,plain,
    ( ! [X0,X1] : ~ less(vplus(X0,X1),X0)
    | ~ spl4_2
    | ~ spl4_72 ),
    inference(resolution,[],[f1030,f198]) ).

fof(f1030,plain,
    ( ! [X2,X0,X1] :
        ( less(X0,vplus(X1,X2))
        | ~ less(X0,X1) )
    | ~ spl4_72 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f14127,plain,
    ( spl4_264
    | ~ spl4_21
    | ~ spl4_51 ),
    inference(avatar_split_clause,[],[f753,f709,f288,f14125]) ).

fof(f14125,plain,
    ( spl4_264
  <=> ! [X0,X1] : geq(vplus(X1,X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_264])]) ).

fof(f753,plain,
    ( ! [X0,X1] : geq(vplus(X1,X0),X0)
    | ~ spl4_21
    | ~ spl4_51 ),
    inference(superposition,[],[f710,f289]) ).

fof(f14123,plain,
    ( spl4_263
    | ~ spl4_21
    | ~ spl4_50 ),
    inference(avatar_split_clause,[],[f737,f705,f288,f14121]) ).

fof(f14121,plain,
    ( spl4_263
  <=> ! [X0,X1] : leq(X0,vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_263])]) ).

fof(f737,plain,
    ( ! [X0,X1] : leq(X0,vplus(X1,X0))
    | ~ spl4_21
    | ~ spl4_50 ),
    inference(superposition,[],[f706,f289]) ).

fof(f14119,plain,
    ( spl4_262
    | ~ spl4_21
    | ~ spl4_49 ),
    inference(avatar_split_clause,[],[f723,f701,f288,f14117]) ).

fof(f14117,plain,
    ( spl4_262
  <=> ! [X0,X1] : ~ greater(X0,vplus(X1,X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_262])]) ).

fof(f723,plain,
    ( ! [X0,X1] : ~ greater(X0,vplus(X1,X0))
    | ~ spl4_21
    | ~ spl4_49 ),
    inference(superposition,[],[f702,f289]) ).

fof(f14113,plain,
    ( spl4_261
    | ~ spl4_34
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f837,f669,f370,f14110]) ).

fof(f14110,plain,
    ( spl4_261
  <=> vplus(vd354,vd356) = vplus(vplus(vd353,vd355),sK2(vplus(vd354,vd356),vplus(vd353,vd355))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_261])]) ).

fof(f669,plain,
    ( spl4_48
  <=> less(vplus(vd353,vd355),vplus(vd354,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).

fof(f837,plain,
    ( vplus(vd354,vd356) = vplus(vplus(vd353,vd355),sK2(vplus(vd354,vd356),vplus(vd353,vd355)))
    | ~ spl4_34
    | ~ spl4_48 ),
    inference(resolution,[],[f671,f371]) ).

fof(f671,plain,
    ( less(vplus(vd353,vd355),vplus(vd354,vd356))
    | ~ spl4_48 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f14105,plain,
    ( ~ spl4_260
    | ~ spl4_21
    | ~ spl4_65
    | spl4_256 ),
    inference(avatar_split_clause,[],[f14081,f14072,f866,f288,f14102]) ).

fof(f14102,plain,
    ( spl4_260
  <=> greater(vd355,vskolem2(vplus(vd355,vd354))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_260])]) ).

fof(f14072,plain,
    ( spl4_256
  <=> greater(vd355,vskolem2(vplus(vd354,vd356))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_256])]) ).

fof(f14081,plain,
    ( ~ greater(vd355,vskolem2(vplus(vd355,vd354)))
    | ~ spl4_21
    | ~ spl4_65
    | spl4_256 ),
    inference(forward_demodulation,[],[f14080,f289]) ).

fof(f14080,plain,
    ( ~ greater(vd355,vskolem2(vplus(vd354,vd355)))
    | ~ spl4_65
    | spl4_256 ),
    inference(forward_demodulation,[],[f14074,f868]) ).

fof(f868,plain,
    ( vd355 = vd356
    | ~ spl4_65 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f14074,plain,
    ( ~ greater(vd355,vskolem2(vplus(vd354,vd356)))
    | spl4_256 ),
    inference(avatar_component_clause,[],[f14072]) ).

fof(f14100,plain,
    ( spl4_243
    | ~ spl4_65
    | ~ spl4_232 ),
    inference(avatar_split_clause,[],[f13018,f13014,f866,f13238]) ).

fof(f13238,plain,
    ( spl4_243
  <=> less(vd355,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_243])]) ).

fof(f13014,plain,
    ( spl4_232
  <=> less(vd356,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_232])]) ).

fof(f13018,plain,
    ( less(vd355,vd353)
    | ~ spl4_65
    | ~ spl4_232 ),
    inference(forward_demodulation,[],[f13016,f868]) ).

fof(f13016,plain,
    ( less(vd356,vd353)
    | ~ spl4_232 ),
    inference(avatar_component_clause,[],[f13014]) ).

fof(f14097,plain,
    ( ~ spl4_259
    | ~ spl4_55
    | spl4_257
    | spl4_258 ),
    inference(avatar_split_clause,[],[f14092,f14088,f14076,f789,f14094]) ).

fof(f14094,plain,
    ( spl4_259
  <=> vd353 = vplus(vd354,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_259])]) ).

fof(f14088,plain,
    ( spl4_258
  <=> v1 = vplus(vd354,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_258])]) ).

fof(f14092,plain,
    ( vd353 != vplus(vd354,vd355)
    | ~ spl4_55
    | spl4_257
    | spl4_258 ),
    inference(forward_demodulation,[],[f14090,f14083]) ).

fof(f14090,plain,
    ( v1 != vplus(vd354,vd355)
    | spl4_258 ),
    inference(avatar_component_clause,[],[f14088]) ).

fof(f14091,plain,
    ( ~ spl4_258
    | ~ spl4_65
    | spl4_255 ),
    inference(avatar_split_clause,[],[f14082,f14068,f866,f14088]) ).

fof(f14082,plain,
    ( v1 != vplus(vd354,vd355)
    | ~ spl4_65
    | spl4_255 ),
    inference(forward_demodulation,[],[f14069,f868]) ).

fof(f14079,plain,
    ( spl4_255
    | ~ spl4_256
    | ~ spl4_257
    | spl4_1
    | ~ spl4_168 ),
    inference(avatar_split_clause,[],[f6512,f5189,f192,f14076,f14072,f14068]) ).

fof(f5189,plain,
    ( spl4_168
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ greater(X2,vskolem2(X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_168])]) ).

fof(f6512,plain,
    ( ~ greater(vd353,v1)
    | ~ greater(vd355,vskolem2(vplus(vd354,vd356)))
    | vplus(vd354,vd356) = v1
    | spl4_1
    | ~ spl4_168 ),
    inference(resolution,[],[f5190,f194]) ).

fof(f5190,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ greater(X2,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_168 ),
    inference(avatar_component_clause,[],[f5189]) ).

fof(f14063,plain,
    ( ~ spl4_254
    | ~ spl4_65
    | spl4_252 ),
    inference(avatar_split_clause,[],[f14055,f14047,f866,f14060]) ).

fof(f14060,plain,
    ( spl4_254
  <=> greater(vskolem2(vplus(vd353,vd355)),vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_254])]) ).

fof(f14047,plain,
    ( spl4_252
  <=> greater(vskolem2(vplus(vd353,vd355)),vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_252])]) ).

fof(f14055,plain,
    ( ~ greater(vskolem2(vplus(vd353,vd355)),vd355)
    | ~ spl4_65
    | spl4_252 ),
    inference(forward_demodulation,[],[f14049,f868]) ).

fof(f14049,plain,
    ( ~ greater(vskolem2(vplus(vd353,vd355)),vd356)
    | spl4_252 ),
    inference(avatar_component_clause,[],[f14047]) ).

fof(f14054,plain,
    ( spl4_251
    | ~ spl4_252
    | ~ spl4_253
    | spl4_1
    | ~ spl4_167 ),
    inference(avatar_split_clause,[],[f6478,f5185,f192,f14051,f14047,f14043]) ).

fof(f14043,plain,
    ( spl4_251
  <=> vplus(vd353,vd355) = v1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_251])]) ).

fof(f5185,plain,
    ( spl4_167
  <=> ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ greater(v1,X1)
        | ~ greater(vskolem2(X0),X2)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_167])]) ).

fof(f6478,plain,
    ( ~ greater(v1,vd354)
    | ~ greater(vskolem2(vplus(vd353,vd355)),vd356)
    | vplus(vd353,vd355) = v1
    | spl4_1
    | ~ spl4_167 ),
    inference(resolution,[],[f5186,f194]) ).

fof(f5186,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ greater(v1,X1)
        | ~ greater(vskolem2(X0),X2)
        | v1 = X0 )
    | ~ spl4_167 ),
    inference(avatar_component_clause,[],[f5185]) ).

fof(f14029,plain,
    ( ~ spl4_5
    | spl4_250 ),
    inference(avatar_contradiction_clause,[],[f14028]) ).

fof(f14028,plain,
    ( $false
    | ~ spl4_5
    | spl4_250 ),
    inference(resolution,[],[f14024,f210]) ).

fof(f210,plain,
    ( ! [X1] : geq(X1,X1)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f209,plain,
    ( spl4_5
  <=> ! [X1] : geq(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f14024,plain,
    ( ~ geq(vplus(vd353,vd355),vplus(vd353,vd355))
    | spl4_250 ),
    inference(avatar_component_clause,[],[f14022]) ).

fof(f14022,plain,
    ( spl4_250
  <=> geq(vplus(vd353,vd355),vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_250])]) ).

fof(f14025,plain,
    ( ~ spl4_250
    | ~ spl4_65
    | spl4_249 ),
    inference(avatar_split_clause,[],[f14020,f14016,f866,f14022]) ).

fof(f14016,plain,
    ( spl4_249
  <=> geq(vplus(vd353,vd355),vplus(vd353,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_249])]) ).

fof(f14020,plain,
    ( ~ geq(vplus(vd353,vd355),vplus(vd353,vd355))
    | ~ spl4_65
    | spl4_249 ),
    inference(forward_demodulation,[],[f14017,f868]) ).

fof(f14017,plain,
    ( ~ geq(vplus(vd353,vd355),vplus(vd353,vd356))
    | spl4_249 ),
    inference(avatar_component_clause,[],[f14016]) ).

fof(f14019,plain,
    ( spl4_249
    | spl4_226
    | spl4_60
    | ~ spl4_75 ),
    inference(avatar_split_clause,[],[f1163,f1116,f833,f12427,f14016]) ).

fof(f1116,plain,
    ( spl4_75
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | geq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).

fof(f1163,plain,
    ( vplus(vd353,vd355) = vplus(vd353,vd356)
    | geq(vplus(vd353,vd355),vplus(vd353,vd356))
    | spl4_60
    | ~ spl4_75 ),
    inference(resolution,[],[f1117,f834]) ).

fof(f834,plain,
    ( ~ less(vplus(vd353,vd355),vplus(vd353,vd356))
    | spl4_60 ),
    inference(avatar_component_clause,[],[f833]) ).

fof(f1117,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | geq(X0,X1) )
    | ~ spl4_75 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f14013,plain,
    ( ~ spl4_3
    | ~ spl4_248 ),
    inference(avatar_contradiction_clause,[],[f14007]) ).

fof(f14007,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_248 ),
    inference(resolution,[],[f13996,f202]) ).

fof(f13996,plain,
    ( greater(vd355,vd355)
    | ~ spl4_248 ),
    inference(avatar_component_clause,[],[f13994]) ).

fof(f13994,plain,
    ( spl4_248
  <=> greater(vd355,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_248])]) ).

fof(f14005,plain,
    ( ~ spl4_2
    | ~ spl4_247 ),
    inference(avatar_contradiction_clause,[],[f13998]) ).

fof(f13998,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_247 ),
    inference(resolution,[],[f13991,f198]) ).

fof(f13991,plain,
    ( less(vd355,vd355)
    | ~ spl4_247 ),
    inference(avatar_component_clause,[],[f13989]) ).

fof(f13989,plain,
    ( spl4_247
  <=> less(vd355,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_247])]) ).

fof(f13997,plain,
    ( spl4_248
    | ~ spl4_65
    | ~ spl4_246 ),
    inference(avatar_split_clause,[],[f13987,f13983,f866,f13994]) ).

fof(f13983,plain,
    ( spl4_246
  <=> greater(vd356,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_246])]) ).

fof(f13987,plain,
    ( greater(vd355,vd355)
    | ~ spl4_65
    | ~ spl4_246 ),
    inference(forward_demodulation,[],[f13985,f868]) ).

fof(f13985,plain,
    ( greater(vd356,vd355)
    | ~ spl4_246 ),
    inference(avatar_component_clause,[],[f13983]) ).

fof(f13992,plain,
    ( spl4_247
    | ~ spl4_65
    | ~ spl4_66 ),
    inference(avatar_split_clause,[],[f13258,f870,f866,f13989]) ).

fof(f870,plain,
    ( spl4_66
  <=> less(vd355,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).

fof(f13258,plain,
    ( less(vd355,vd355)
    | ~ spl4_65
    | ~ spl4_66 ),
    inference(superposition,[],[f872,f868]) ).

fof(f872,plain,
    ( less(vd355,vd356)
    | ~ spl4_66 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f13986,plain,
    ( spl4_246
    | ~ spl4_17
    | ~ spl4_66 ),
    inference(avatar_split_clause,[],[f13176,f870,f260,f13983]) ).

fof(f260,plain,
    ( spl4_17
  <=> ! [X0,X1] :
        ( greater(X1,X0)
        | ~ less(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f13176,plain,
    ( greater(vd356,vd355)
    | ~ spl4_17
    | ~ spl4_66 ),
    inference(resolution,[],[f872,f261]) ).

fof(f261,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,X1)
        | greater(X1,X0) )
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f13980,plain,
    ( spl4_245
    | ~ spl4_19
    | ~ spl4_66 ),
    inference(avatar_split_clause,[],[f13175,f870,f268,f13977]) ).

fof(f13977,plain,
    ( spl4_245
  <=> leq(vd355,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_245])]) ).

fof(f268,plain,
    ( spl4_19
  <=> ! [X0,X1] :
        ( leq(X1,X0)
        | ~ less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f13175,plain,
    ( leq(vd355,vd356)
    | ~ spl4_19
    | ~ spl4_66 ),
    inference(resolution,[],[f872,f269]) ).

fof(f269,plain,
    ( ! [X0,X1] :
        ( ~ less(X1,X0)
        | leq(X1,X0) )
    | ~ spl4_19 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f13966,plain,
    ( spl4_242
    | ~ spl4_65
    | ~ spl4_142 ),
    inference(avatar_split_clause,[],[f12819,f3298,f866,f13150]) ).

fof(f13150,plain,
    ( spl4_242
  <=> greater(vd353,vd355) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_242])]) ).

fof(f3298,plain,
    ( spl4_142
  <=> greater(vd353,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_142])]) ).

fof(f12819,plain,
    ( greater(vd353,vd355)
    | ~ spl4_65
    | ~ spl4_142 ),
    inference(superposition,[],[f3299,f868]) ).

fof(f3299,plain,
    ( greater(vd353,vd356)
    | ~ spl4_142 ),
    inference(avatar_component_clause,[],[f3298]) ).

fof(f13471,plain,
    ( spl4_244
    | ~ spl4_65
    | ~ spl4_102
    | ~ spl4_103
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f13287,f12427,f1769,f1765,f866,f13469]) ).

fof(f13469,plain,
    ( spl4_244
  <=> ! [X0] : vplus(vplus(vd353,vd355),X0) = vplus(vd353,vplus(X0,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_244])]) ).

fof(f1765,plain,
    ( spl4_102
  <=> ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_102])]) ).

fof(f13287,plain,
    ( ! [X0] : vplus(vplus(vd353,vd355),X0) = vplus(vd353,vplus(X0,vd355))
    | ~ spl4_65
    | ~ spl4_102
    | ~ spl4_103
    | ~ spl4_226 ),
    inference(forward_demodulation,[],[f12691,f868]) ).

fof(f12691,plain,
    ( ! [X0] : vplus(vplus(vd353,vd355),X0) = vplus(vd353,vplus(X0,vd356))
    | ~ spl4_102
    | ~ spl4_103
    | ~ spl4_226 ),
    inference(forward_demodulation,[],[f12617,f1770]) ).

fof(f12617,plain,
    ( ! [X0] : vplus(vplus(vd353,vd355),X0) = vplus(vd356,vplus(vd353,X0))
    | ~ spl4_102
    | ~ spl4_226 ),
    inference(superposition,[],[f1766,f12429]) ).

fof(f1766,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2)
    | ~ spl4_102 ),
    inference(avatar_component_clause,[],[f1765]) ).

fof(f13272,plain,
    ( ~ spl4_65
    | spl4_226 ),
    inference(avatar_contradiction_clause,[],[f13271]) ).

fof(f13271,plain,
    ( $false
    | ~ spl4_65
    | spl4_226 ),
    inference(trivial_inequality_removal,[],[f13267]) ).

fof(f13267,plain,
    ( vplus(vd353,vd355) != vplus(vd353,vd355)
    | ~ spl4_65
    | spl4_226 ),
    inference(superposition,[],[f12428,f868]) ).

fof(f12428,plain,
    ( vplus(vd353,vd355) != vplus(vd353,vd356)
    | spl4_226 ),
    inference(avatar_component_clause,[],[f12427]) ).

fof(f13244,plain,
    ( spl4_65
    | spl4_10
    | ~ spl4_11
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f355,f321,f233,f229,f866]) ).

fof(f233,plain,
    ( spl4_11
  <=> geq(vd355,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f321,plain,
    ( spl4_26
  <=> ! [X0,X1] :
        ( X0 = X1
        | greater(X1,X0)
        | ~ geq(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).

fof(f355,plain,
    ( greater(vd355,vd356)
    | vd355 = vd356
    | ~ spl4_11
    | ~ spl4_26 ),
    inference(resolution,[],[f322,f235]) ).

fof(f235,plain,
    ( geq(vd355,vd356)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f322,plain,
    ( ! [X0,X1] :
        ( ~ geq(X1,X0)
        | greater(X1,X0)
        | X0 = X1 )
    | ~ spl4_26 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f13241,plain,
    ( ~ spl4_243
    | ~ spl4_90
    | spl4_224 ),
    inference(avatar_split_clause,[],[f12473,f12360,f1346,f13238]) ).

fof(f12360,plain,
    ( spl4_224
  <=> less(vplus(vd353,vd355),vplus(vd353,vd353)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_224])]) ).

fof(f12473,plain,
    ( ~ less(vd355,vd353)
    | ~ spl4_90
    | spl4_224 ),
    inference(resolution,[],[f12362,f1347]) ).

fof(f12362,plain,
    ( ~ less(vplus(vd353,vd355),vplus(vd353,vd353))
    | spl4_224 ),
    inference(avatar_component_clause,[],[f12360]) ).

fof(f13236,plain,
    ( spl4_10
    | ~ spl4_7
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f924,f860,f217,f229]) ).

fof(f13154,plain,
    ( ~ spl4_65
    | ~ spl4_8
    | ~ spl4_64 ),
    inference(avatar_split_clause,[],[f925,f860,f221,f866]) ).

fof(f221,plain,
    ( spl4_8
  <=> ! [X2,X1] : vplus(X1,X2) != X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f925,plain,
    ( vd355 != vd356
    | ~ spl4_8
    | ~ spl4_64 ),
    inference(superposition,[],[f222,f862]) ).

fof(f222,plain,
    ( ! [X2,X1] : vplus(X1,X2) != X1
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f13153,plain,
    ( ~ spl4_242
    | ~ spl4_95
    | spl4_223 ),
    inference(avatar_split_clause,[],[f12467,f12354,f1369,f13150]) ).

fof(f12354,plain,
    ( spl4_223
  <=> greater(vplus(vd353,vd353),vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_223])]) ).

fof(f12467,plain,
    ( ~ greater(vd353,vd355)
    | ~ spl4_95
    | spl4_223 ),
    inference(resolution,[],[f12356,f1370]) ).

fof(f12356,plain,
    ( ~ greater(vplus(vd353,vd353),vplus(vd353,vd355))
    | spl4_223 ),
    inference(avatar_component_clause,[],[f12354]) ).

fof(f13142,plain,
    ( spl4_240
    | ~ spl4_17
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f845,f801,f260,f13133]) ).

fof(f845,plain,
    ( greater(vd354,vd353)
    | ~ spl4_17
    | ~ spl4_58 ),
    inference(resolution,[],[f803,f261]) ).

fof(f803,plain,
    ( less(vd353,vd354)
    | ~ spl4_58 ),
    inference(avatar_component_clause,[],[f801]) ).

fof(f13141,plain,
    ( spl4_241
    | ~ spl4_19
    | ~ spl4_58 ),
    inference(avatar_split_clause,[],[f844,f801,f268,f13138]) ).

fof(f13138,plain,
    ( spl4_241
  <=> leq(vd353,vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_241])]) ).

fof(f844,plain,
    ( leq(vd353,vd354)
    | ~ spl4_19
    | ~ spl4_58 ),
    inference(resolution,[],[f803,f269]) ).

fof(f13136,plain,
    ( ~ spl4_240
    | ~ spl4_14
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f658,f382,f248,f13133]) ).

fof(f248,plain,
    ( spl4_14
  <=> ! [X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).

fof(f658,plain,
    ( ~ greater(vd354,vd353)
    | ~ spl4_14
    | ~ spl4_37 ),
    inference(resolution,[],[f384,f249]) ).

fof(f249,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(X0,X1) )
    | ~ spl4_14 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f384,plain,
    ( less(vd354,vd353)
    | ~ spl4_37 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f13126,plain,
    ( spl4_12
    | ~ spl4_17
    | ~ spl4_37 ),
    inference(avatar_split_clause,[],[f657,f382,f260,f238]) ).

fof(f657,plain,
    ( greater(vd353,vd354)
    | ~ spl4_17
    | ~ spl4_37 ),
    inference(resolution,[],[f384,f261]) ).

fof(f13120,plain,
    ( spl4_10
    | ~ spl4_17
    | ~ spl4_32 ),
    inference(avatar_split_clause,[],[f586,f350,f260,f229]) ).

fof(f586,plain,
    ( greater(vd355,vd356)
    | ~ spl4_17
    | ~ spl4_32 ),
    inference(resolution,[],[f352,f261]) ).

fof(f352,plain,
    ( less(vd356,vd355)
    | ~ spl4_32 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f13095,plain,
    ( spl4_239
    | ~ spl4_65
    | ~ spl4_238 ),
    inference(avatar_split_clause,[],[f13091,f13088,f866,f13093]) ).

fof(f13088,plain,
    ( spl4_238
  <=> ! [X0] :
        ( ~ less(vd354,X0)
        | less(vplus(vd353,vd355),vplus(X0,vd356)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_238])]) ).

fof(f13091,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd355))
        | ~ less(vd354,X0) )
    | ~ spl4_65
    | ~ spl4_238 ),
    inference(forward_demodulation,[],[f13089,f868]) ).

fof(f13089,plain,
    ( ! [X0] :
        ( less(vplus(vd353,vd355),vplus(X0,vd356))
        | ~ less(vd354,X0) )
    | ~ spl4_238 ),
    inference(avatar_component_clause,[],[f13088]) ).

fof(f13090,plain,
    ( spl4_238
    | ~ spl4_48
    | ~ spl4_119 ),
    inference(avatar_split_clause,[],[f2801,f2726,f669,f13088]) ).

fof(f2726,plain,
    ( spl4_119
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,vplus(X0,X3))
        | less(X2,vplus(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_119])]) ).

fof(f2801,plain,
    ( ! [X0] :
        ( ~ less(vd354,X0)
        | less(vplus(vd353,vd355),vplus(X0,vd356)) )
    | ~ spl4_48
    | ~ spl4_119 ),
    inference(resolution,[],[f2727,f671]) ).

fof(f2727,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(X2,vplus(X0,X3))
        | ~ less(X0,X1)
        | less(X2,vplus(X1,X3)) )
    | ~ spl4_119 ),
    inference(avatar_component_clause,[],[f2726]) ).

fof(f13080,plain,
    ( spl4_237
    | ~ spl4_28
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f838,f669,f329,f13078]) ).

fof(f13078,plain,
    ( spl4_237
  <=> ! [X0] :
        ( ~ less(X0,vplus(vd353,vd355))
        | less(X0,vplus(vd354,vd356)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_237])]) ).

fof(f329,plain,
    ( spl4_28
  <=> ! [X2,X0,X1] :
        ( less(X0,X2)
        | ~ less(X0,X1)
        | ~ less(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).

fof(f838,plain,
    ( ! [X0] :
        ( ~ less(X0,vplus(vd353,vd355))
        | less(X0,vplus(vd354,vd356)) )
    | ~ spl4_28
    | ~ spl4_48 ),
    inference(resolution,[],[f671,f330]) ).

fof(f330,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X1,X2)
        | ~ less(X0,X1)
        | less(X0,X2) )
    | ~ spl4_28 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f13047,plain,
    ( spl4_236
    | ~ spl4_21
    | ~ spl4_65
    | ~ spl4_221 ),
    inference(avatar_split_clause,[],[f13012,f12208,f866,f288,f13044]) ).

fof(f12208,plain,
    ( spl4_221
  <=> greater(vplus(vd354,vd356),vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_221])]) ).

fof(f13012,plain,
    ( greater(vplus(vd355,vd354),vplus(vd353,vd355))
    | ~ spl4_21
    | ~ spl4_65
    | ~ spl4_221 ),
    inference(forward_demodulation,[],[f13011,f289]) ).

fof(f13011,plain,
    ( greater(vplus(vd354,vd355),vplus(vd353,vd355))
    | ~ spl4_65
    | ~ spl4_221 ),
    inference(forward_demodulation,[],[f12210,f868]) ).

fof(f12210,plain,
    ( greater(vplus(vd354,vd356),vplus(vd353,vd355))
    | ~ spl4_221 ),
    inference(avatar_component_clause,[],[f12208]) ).

fof(f13042,plain,
    ( spl4_235
    | ~ spl4_21
    | ~ spl4_48
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f12826,f866,f669,f288,f13039]) ).

fof(f12826,plain,
    ( less(vplus(vd353,vd355),vplus(vd355,vd354))
    | ~ spl4_21
    | ~ spl4_48
    | ~ spl4_65 ),
    inference(forward_demodulation,[],[f12815,f289]) ).

fof(f12815,plain,
    ( less(vplus(vd353,vd355),vplus(vd354,vd355))
    | ~ spl4_48
    | ~ spl4_65 ),
    inference(superposition,[],[f671,f868]) ).

fof(f13037,plain,
    ( ~ spl4_234
    | spl4_1
    | ~ spl4_21
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f12825,f866,f288,f192,f13034]) ).

fof(f12825,plain,
    ( ~ greater(vplus(vd353,vd355),vplus(vd355,vd354))
    | spl4_1
    | ~ spl4_21
    | ~ spl4_65 ),
    inference(forward_demodulation,[],[f12811,f289]) ).

fof(f12811,plain,
    ( ~ greater(vplus(vd353,vd355),vplus(vd354,vd355))
    | spl4_1
    | ~ spl4_65 ),
    inference(superposition,[],[f194,f868]) ).

fof(f13032,plain,
    ( ~ spl4_233
    | spl4_47
    | ~ spl4_65 ),
    inference(avatar_split_clause,[],[f12814,f866,f665,f13029]) ).

fof(f12814,plain,
    ( vplus(vd353,vd355) != vplus(vd354,vd355)
    | spl4_47
    | ~ spl4_65 ),
    inference(superposition,[],[f666,f868]) ).

fof(f666,plain,
    ( vplus(vd353,vd355) != vplus(vd354,vd356)
    | spl4_47 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f13017,plain,
    ( spl4_232
    | ~ spl4_18
    | ~ spl4_142 ),
    inference(avatar_split_clause,[],[f4708,f3298,f264,f13014]) ).

fof(f4708,plain,
    ( less(vd356,vd353)
    | ~ spl4_18
    | ~ spl4_142 ),
    inference(resolution,[],[f3299,f265]) ).

fof(f13010,plain,
    ( spl4_221
    | ~ spl4_17
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f840,f669,f260,f12208]) ).

fof(f840,plain,
    ( greater(vplus(vd354,vd356),vplus(vd353,vd355))
    | ~ spl4_17
    | ~ spl4_48 ),
    inference(resolution,[],[f671,f261]) ).

fof(f13006,plain,
    ( ~ spl4_142
    | ~ spl4_231
    | spl4_1
    | ~ spl4_124 ),
    inference(avatar_split_clause,[],[f3113,f2754,f192,f13003,f3298]) ).

fof(f13003,plain,
    ( spl4_231
  <=> greater(vd355,vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_231])]) ).

fof(f3113,plain,
    ( ~ greater(vd355,vd354)
    | ~ greater(vd353,vd356)
    | spl4_1
    | ~ spl4_124 ),
    inference(resolution,[],[f2755,f194]) ).

fof(f12832,plain,
    ( spl4_230
    | ~ spl4_12
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f647,f374,f238,f12829]) ).

fof(f374,plain,
    ( spl4_35
  <=> ! [X0,X1] :
        ( vplus(X0,sK3(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f647,plain,
    ( vd353 = vplus(vd354,sK3(vd354,vd353))
    | ~ spl4_12
    | ~ spl4_35 ),
    inference(resolution,[],[f240,f375]) ).

fof(f375,plain,
    ( ! [X0,X1] :
        ( ~ greater(X1,X0)
        | vplus(X0,sK3(X0,X1)) = X1 )
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f240,plain,
    ( greater(vd353,vd354)
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f12784,plain,
    ( spl4_229
    | ~ spl4_60
    | ~ spl4_119 ),
    inference(avatar_split_clause,[],[f2802,f2726,f833,f12782]) ).

fof(f2802,plain,
    ( ! [X0] :
        ( ~ less(vd353,X0)
        | less(vplus(vd353,vd355),vplus(X0,vd356)) )
    | ~ spl4_60
    | ~ spl4_119 ),
    inference(resolution,[],[f2727,f835]) ).

fof(f12772,plain,
    ( spl4_227
    | ~ spl4_17
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f12449,f833,f260,f12483]) ).

fof(f12449,plain,
    ( greater(vplus(vd353,vd356),vplus(vd353,vd355))
    | ~ spl4_17
    | ~ spl4_60 ),
    inference(resolution,[],[f835,f261]) ).

fof(f12764,plain,
    ( spl4_228
    | ~ spl4_52
    | ~ spl4_226 ),
    inference(avatar_split_clause,[],[f12576,f12427,f713,f12746]) ).

fof(f12749,plain,
    ( spl4_228
    | ~ spl4_47
    | ~ spl4_52 ),
    inference(avatar_split_clause,[],[f773,f713,f665,f12746]) ).

fof(f773,plain,
    ( less(vd356,vplus(vd353,vd355))
    | ~ spl4_47
    | ~ spl4_52 ),
    inference(superposition,[],[f714,f667]) ).

fof(f667,plain,
    ( vplus(vd353,vd355) = vplus(vd354,vd356)
    | ~ spl4_47 ),
    inference(avatar_component_clause,[],[f665]) ).

fof(f12486,plain,
    ( spl4_227
    | ~ spl4_57
    | ~ spl4_221 ),
    inference(avatar_split_clause,[],[f12431,f12208,f797,f12483]) ).

fof(f12431,plain,
    ( greater(vplus(vd353,vd356),vplus(vd353,vd355))
    | ~ spl4_57
    | ~ spl4_221 ),
    inference(forward_demodulation,[],[f12210,f799]) ).

fof(f12430,plain,
    ( spl4_226
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f12390,f797,f665,f12427]) ).

fof(f12390,plain,
    ( vplus(vd353,vd355) = vplus(vd353,vd356)
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(forward_demodulation,[],[f667,f799]) ).

fof(f12383,plain,
    ( spl4_225
    | ~ spl4_47
    | ~ spl4_57
    | ~ spl4_162 ),
    inference(avatar_split_clause,[],[f12258,f4049,f797,f665,f12380]) ).

fof(f12380,plain,
    ( spl4_225
  <=> vplus(vd353,vd355) = vplus(vd353,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_225])]) ).

fof(f12258,plain,
    ( vplus(vd353,vd355) = vplus(vd353,vd353)
    | ~ spl4_47
    | ~ spl4_57
    | ~ spl4_162 ),
    inference(forward_demodulation,[],[f810,f4051]) ).

fof(f4051,plain,
    ( vd353 = vd356
    | ~ spl4_162 ),
    inference(avatar_component_clause,[],[f4049]) ).

fof(f810,plain,
    ( vplus(vd353,vd355) = vplus(vd353,vd356)
    | ~ spl4_47
    | ~ spl4_57 ),
    inference(superposition,[],[f667,f799]) ).

fof(f12363,plain,
    ( ~ spl4_224
    | spl4_48
    | ~ spl4_57
    | ~ spl4_162 ),
    inference(avatar_split_clause,[],[f12223,f4049,f797,f669,f12360]) ).

fof(f12223,plain,
    ( ~ less(vplus(vd353,vd355),vplus(vd353,vd353))
    | spl4_48
    | ~ spl4_57
    | ~ spl4_162 ),
    inference(forward_demodulation,[],[f811,f4051]) ).

fof(f811,plain,
    ( ~ less(vplus(vd353,vd355),vplus(vd353,vd356))
    | spl4_48
    | ~ spl4_57 ),
    inference(superposition,[],[f670,f799]) ).

fof(f670,plain,
    ( ~ less(vplus(vd353,vd355),vplus(vd354,vd356))
    | spl4_48 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f12357,plain,
    ( ~ spl4_223
    | ~ spl4_21
    | ~ spl4_57
    | ~ spl4_162
    | spl4_221 ),
    inference(avatar_split_clause,[],[f12215,f12208,f4049,f797,f288,f12354]) ).

fof(f12215,plain,
    ( ~ greater(vplus(vd353,vd353),vplus(vd353,vd355))
    | ~ spl4_21
    | ~ spl4_57
    | ~ spl4_162
    | spl4_221 ),
    inference(forward_demodulation,[],[f12214,f799]) ).

fof(f12214,plain,
    ( ~ greater(vplus(vd353,vd354),vplus(vd353,vd355))
    | ~ spl4_21
    | ~ spl4_162
    | spl4_221 ),
    inference(forward_demodulation,[],[f12213,f289]) ).

fof(f12213,plain,
    ( ~ greater(vplus(vd354,vd353),vplus(vd353,vd355))
    | ~ spl4_162
    | spl4_221 ),
    inference(forward_demodulation,[],[f12209,f4051]) ).

fof(f12209,plain,
    ( ~ greater(vplus(vd354,vd356),vplus(vd353,vd355))
    | spl4_221 ),
    inference(avatar_component_clause,[],[f12208]) ).

fof(f12342,plain,
    ( spl4_222
    | ~ spl4_19
    | ~ spl4_60 ),
    inference(avatar_split_clause,[],[f2356,f833,f268,f12339]) ).

fof(f12339,plain,
    ( spl4_222
  <=> leq(vplus(vd353,vd355),vplus(vd353,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_222])]) ).

fof(f2356,plain,
    ( leq(vplus(vd353,vd355),vplus(vd353,vd356))
    | ~ spl4_19
    | ~ spl4_60 ),
    inference(resolution,[],[f835,f269]) ).

fof(f12211,plain,
    ( spl4_221
    | ~ spl4_17
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f840,f669,f260,f12208]) ).

fof(f12205,plain,
    ( ~ spl4_220
    | spl4_1
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f805,f797,f192,f12202]) ).

fof(f805,plain,
    ( ~ greater(vplus(vd353,vd355),vplus(vd353,vd356))
    | spl4_1
    | ~ spl4_57 ),
    inference(superposition,[],[f194,f799]) ).

fof(f10946,plain,
    ( spl4_219
    | ~ spl4_42
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f593,f589,f470,f10944]) ).

fof(f10944,plain,
    ( spl4_219
  <=> ! [X2,X0,X1] :
        ( vplus(X0,vplus(X1,sK0(vplus(X0,X1),X2))) = X2
        | vplus(X0,X1) = vplus(X2,sK1(vplus(X0,X1),X2))
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_219])]) ).

fof(f589,plain,
    ( spl4_45
  <=> ! [X0,X1] :
        ( vplus(X0,sK0(X0,X1)) = X1
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).

fof(f593,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,vplus(X1,sK0(vplus(X0,X1),X2))) = X2
        | vplus(X0,X1) = vplus(X2,sK1(vplus(X0,X1),X2))
        | vplus(X0,X1) = X2 )
    | ~ spl4_42
    | ~ spl4_45 ),
    inference(superposition,[],[f590,f471]) ).

fof(f590,plain,
    ( ! [X0,X1] :
        ( vplus(X1,sK1(X0,X1)) = X0
        | vplus(X0,sK0(X0,X1)) = X1
        | X0 = X1 )
    | ~ spl4_45 ),
    inference(avatar_component_clause,[],[f589]) ).

fof(f10942,plain,
    ( spl4_218
    | ~ spl4_42
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f592,f589,f470,f10940]) ).

fof(f10940,plain,
    ( spl4_218
  <=> ! [X2,X0,X1] :
        ( vplus(X0,vplus(X1,sK1(X2,vplus(X0,X1)))) = X2
        | vplus(X0,X1) = vplus(X2,sK0(X2,vplus(X0,X1)))
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_218])]) ).

fof(f592,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,vplus(X1,sK1(X2,vplus(X0,X1)))) = X2
        | vplus(X0,X1) = vplus(X2,sK0(X2,vplus(X0,X1)))
        | vplus(X0,X1) = X2 )
    | ~ spl4_42
    | ~ spl4_45 ),
    inference(superposition,[],[f590,f471]) ).

fof(f10927,plain,
    ( spl4_217
    | ~ spl4_19
    | ~ spl4_163 ),
    inference(avatar_split_clause,[],[f7929,f4053,f268,f10924]) ).

fof(f10924,plain,
    ( spl4_217
  <=> leq(vd353,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_217])]) ).

fof(f4053,plain,
    ( spl4_163
  <=> less(vd353,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_163])]) ).

fof(f7929,plain,
    ( leq(vd353,vd356)
    | ~ spl4_19
    | ~ spl4_163 ),
    inference(resolution,[],[f4055,f269]) ).

fof(f4055,plain,
    ( less(vd353,vd356)
    | ~ spl4_163 ),
    inference(avatar_component_clause,[],[f4053]) ).

fof(f10888,plain,
    ( spl4_216
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f638,f589,f561,f10886]) ).

fof(f10886,plain,
    ( spl4_216
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ greater(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_216])]) ).

fof(f561,plain,
    ( spl4_44
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X3))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).

fof(f638,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ greater(X3,sK0(X0,X1))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(superposition,[],[f562,f590]) ).

fof(f562,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,X2),vplus(X1,X3))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) )
    | ~ spl4_44 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f10884,plain,
    ( spl4_215
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f637,f589,f561,f10882]) ).

fof(f10882,plain,
    ( spl4_215
  <=> ! [X0,X3,X2,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_215])]) ).

fof(f637,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(sK0(X0,X1),X3)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(superposition,[],[f562,f590]) ).

fof(f10880,plain,
    ( spl4_214
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f614,f589,f561,f10878]) ).

fof(f10878,plain,
    ( spl4_214
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ greater(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_214])]) ).

fof(f614,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),X1)
        | ~ greater(X2,X0)
        | ~ greater(X3,sK1(X1,X0))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(superposition,[],[f562,f590]) ).

fof(f10876,plain,
    ( spl4_213
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f613,f589,f561,f10874]) ).

fof(f10874,plain,
    ( spl4_213
  <=> ! [X0,X3,X2,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_213])]) ).

fof(f613,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(X1,vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(sK1(X1,X0),X3)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_44
    | ~ spl4_45 ),
    inference(superposition,[],[f562,f590]) ).

fof(f7951,plain,
    ( spl4_212
    | ~ spl4_43
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f641,f589,f474,f7949]) ).

fof(f7949,plain,
    ( spl4_212
  <=> ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,sK0(v1,X0)))
        | v1 = vplus(X0,sK1(v1,X0))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_212])]) ).

fof(f641,plain,
    ( ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,sK0(v1,X0)))
        | v1 = vplus(X0,sK1(v1,X0))
        | v1 = X0 )
    | ~ spl4_43
    | ~ spl4_45 ),
    inference(superposition,[],[f475,f590]) ).

fof(f7947,plain,
    ( spl4_211
    | ~ spl4_43
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f636,f589,f474,f7945]) ).

fof(f7945,plain,
    ( spl4_211
  <=> ! [X0,X1] :
        ( vplus(v1,X1) = vplus(X0,vplus(v1,sK0(X0,X1)))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_211])]) ).

fof(f636,plain,
    ( ! [X0,X1] :
        ( vplus(v1,X1) = vplus(X0,vplus(v1,sK0(X0,X1)))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_43
    | ~ spl4_45 ),
    inference(superposition,[],[f475,f590]) ).

fof(f7943,plain,
    ( spl4_210
    | ~ spl4_42
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f635,f589,f470,f7941]) ).

fof(f7941,plain,
    ( spl4_210
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(sK0(X0,X1),X2))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_210])]) ).

fof(f635,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(sK0(X0,X1),X2))
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_42
    | ~ spl4_45 ),
    inference(superposition,[],[f471,f590]) ).

fof(f7939,plain,
    ( spl4_209
    | ~ spl4_43
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f617,f589,f474,f7937]) ).

fof(f7937,plain,
    ( spl4_209
  <=> ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,sK1(X0,v1)))
        | v1 = vplus(X0,sK0(X0,v1))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_209])]) ).

fof(f617,plain,
    ( ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,sK1(X0,v1)))
        | v1 = vplus(X0,sK0(X0,v1))
        | v1 = X0 )
    | ~ spl4_43
    | ~ spl4_45 ),
    inference(superposition,[],[f475,f590]) ).

fof(f7935,plain,
    ( spl4_208
    | ~ spl4_43
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f612,f589,f474,f7933]) ).

fof(f7933,plain,
    ( spl4_208
  <=> ! [X0,X1] :
        ( vplus(v1,X1) = vplus(X0,vplus(v1,sK1(X1,X0)))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_208])]) ).

fof(f612,plain,
    ( ! [X0,X1] :
        ( vplus(v1,X1) = vplus(X0,vplus(v1,sK1(X1,X0)))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_43
    | ~ spl4_45 ),
    inference(superposition,[],[f475,f590]) ).

fof(f7925,plain,
    ( spl4_207
    | ~ spl4_42
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f611,f589,f470,f7923]) ).

fof(f7923,plain,
    ( spl4_207
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(sK1(X1,X0),X2))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_207])]) ).

fof(f611,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(sK1(X1,X0),X2))
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_42
    | ~ spl4_45 ),
    inference(superposition,[],[f471,f590]) ).

fof(f7921,plain,
    ( spl4_206
    | ~ spl4_35
    | ~ spl4_42
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f582,f561,f470,f374,f7919]) ).

fof(f7919,plain,
    ( spl4_206
  <=> ! [X0,X3,X2,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X3,sK3(vplus(X1,X3),vplus(X0,X2))))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_206])]) ).

fof(f582,plain,
    ( ! [X2,X3,X0,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X3,sK3(vplus(X1,X3),vplus(X0,X2))))
        | ~ greater(X0,X1)
        | ~ greater(X2,X3) )
    | ~ spl4_35
    | ~ spl4_42
    | ~ spl4_44 ),
    inference(forward_demodulation,[],[f567,f471]) ).

fof(f567,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | vplus(X0,X2) = vplus(vplus(X1,X3),sK3(vplus(X1,X3),vplus(X0,X2))) )
    | ~ spl4_35
    | ~ spl4_44 ),
    inference(resolution,[],[f562,f375]) ).

fof(f7470,plain,
    ( spl4_205
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f634,f589,f402,f7468]) ).

fof(f7468,plain,
    ( spl4_205
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,sK0(X0,X1)),X1)
        | greater(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_205])]) ).

fof(f634,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,sK0(X0,X1)),X1)
        | greater(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(superposition,[],[f403,f590]) ).

fof(f7466,plain,
    ( spl4_204
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f633,f589,f402,f7464]) ).

fof(f7464,plain,
    ( spl4_204
  <=> ! [X2,X0,X1] :
        ( ~ greater(X1,vplus(X2,sK0(X0,X1)))
        | greater(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_204])]) ).

fof(f633,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X1,vplus(X2,sK0(X0,X1)))
        | greater(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(superposition,[],[f403,f590]) ).

fof(f7462,plain,
    ( spl4_203
    | ~ spl4_40
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f632,f589,f398,f7460]) ).

fof(f7460,plain,
    ( spl4_203
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,sK0(X0,X1)),X1)
        | less(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_203])]) ).

fof(f632,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,sK0(X0,X1)),X1)
        | less(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_40
    | ~ spl4_45 ),
    inference(superposition,[],[f399,f590]) ).

fof(f7458,plain,
    ( spl4_202
    | ~ spl4_40
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f631,f589,f398,f7456]) ).

fof(f7456,plain,
    ( spl4_202
  <=> ! [X2,X0,X1] :
        ( ~ less(X1,vplus(X2,sK0(X0,X1)))
        | less(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_202])]) ).

fof(f631,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X1,vplus(X2,sK0(X0,X1)))
        | less(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_40
    | ~ spl4_45 ),
    inference(superposition,[],[f399,f590]) ).

fof(f7454,plain,
    ( spl4_201
    | ~ spl4_39
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f629,f589,f394,f7452]) ).

fof(f7452,plain,
    ( spl4_201
  <=> ! [X2,X0,X1] :
        ( vplus(X2,sK0(X0,X1)) != X1
        | X0 = X2
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_201])]) ).

fof(f629,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X2,sK0(X0,X1)) != X1
        | X0 = X2
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_39
    | ~ spl4_45 ),
    inference(superposition,[],[f395,f590]) ).

fof(f7450,plain,
    ( spl4_200
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f628,f589,f390,f7448]) ).

fof(f7448,plain,
    ( spl4_200
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,sK0(X0,X1)),X1)
        | ~ greater(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_200])]) ).

fof(f628,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,sK0(X0,X1)),X1)
        | ~ greater(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(superposition,[],[f391,f590]) ).

fof(f7446,plain,
    ( spl4_199
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f627,f589,f390,f7444]) ).

fof(f7444,plain,
    ( spl4_199
  <=> ! [X2,X0,X1] :
        ( greater(X1,vplus(X2,sK0(X0,X1)))
        | ~ greater(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_199])]) ).

fof(f627,plain,
    ( ! [X2,X0,X1] :
        ( greater(X1,vplus(X2,sK0(X0,X1)))
        | ~ greater(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(superposition,[],[f391,f590]) ).

fof(f7442,plain,
    ( spl4_198
    | ~ spl4_36
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f626,f589,f378,f7440]) ).

fof(f7440,plain,
    ( spl4_198
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,sK0(X0,X1)),X1)
        | ~ less(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_198])]) ).

fof(f626,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,sK0(X0,X1)),X1)
        | ~ less(X2,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_36
    | ~ spl4_45 ),
    inference(superposition,[],[f379,f590]) ).

fof(f7437,plain,
    ( spl4_197
    | ~ spl4_11
    | ~ spl4_162 ),
    inference(avatar_split_clause,[],[f7134,f4049,f233,f7434]) ).

fof(f7434,plain,
    ( spl4_197
  <=> geq(vd355,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_197])]) ).

fof(f7134,plain,
    ( geq(vd355,vd353)
    | ~ spl4_11
    | ~ spl4_162 ),
    inference(superposition,[],[f235,f4051]) ).

fof(f7432,plain,
    ( spl4_196
    | ~ spl4_36
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f625,f589,f378,f7430]) ).

fof(f7430,plain,
    ( spl4_196
  <=> ! [X2,X0,X1] :
        ( less(X1,vplus(X2,sK0(X0,X1)))
        | ~ less(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_196])]) ).

fof(f625,plain,
    ( ! [X2,X0,X1] :
        ( less(X1,vplus(X2,sK0(X0,X1)))
        | ~ less(X0,X2)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_36
    | ~ spl4_45 ),
    inference(superposition,[],[f379,f590]) ).

fof(f7428,plain,
    ( spl4_195
    | ~ spl4_33
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f623,f589,f366,f7426]) ).

fof(f7426,plain,
    ( spl4_195
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) != X1
        | sK0(X0,X1) = X2
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_195])]) ).

fof(f623,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != X1
        | sK0(X0,X1) = X2
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_33
    | ~ spl4_45 ),
    inference(superposition,[],[f367,f590]) ).

fof(f7424,plain,
    ( spl4_194
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f610,f589,f402,f7422]) ).

fof(f7422,plain,
    ( spl4_194
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,sK1(X1,X0)),X1)
        | greater(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_194])]) ).

fof(f610,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,sK1(X1,X0)),X1)
        | greater(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(superposition,[],[f403,f590]) ).

fof(f7420,plain,
    ( spl4_193
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f609,f589,f402,f7418]) ).

fof(f7418,plain,
    ( spl4_193
  <=> ! [X2,X0,X1] :
        ( ~ greater(X1,vplus(X2,sK1(X1,X0)))
        | greater(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_193])]) ).

fof(f609,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X1,vplus(X2,sK1(X1,X0)))
        | greater(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_41
    | ~ spl4_45 ),
    inference(superposition,[],[f403,f590]) ).

fof(f7416,plain,
    ( spl4_192
    | ~ spl4_40
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f608,f589,f398,f7414]) ).

fof(f7414,plain,
    ( spl4_192
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,sK1(X1,X0)),X1)
        | less(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_192])]) ).

fof(f608,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,sK1(X1,X0)),X1)
        | less(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_40
    | ~ spl4_45 ),
    inference(superposition,[],[f399,f590]) ).

fof(f7412,plain,
    ( spl4_191
    | ~ spl4_40
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f607,f589,f398,f7410]) ).

fof(f7410,plain,
    ( spl4_191
  <=> ! [X2,X0,X1] :
        ( ~ less(X1,vplus(X2,sK1(X1,X0)))
        | less(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_191])]) ).

fof(f607,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X1,vplus(X2,sK1(X1,X0)))
        | less(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_40
    | ~ spl4_45 ),
    inference(superposition,[],[f399,f590]) ).

fof(f7408,plain,
    ( spl4_190
    | ~ spl4_39
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f605,f589,f394,f7406]) ).

fof(f7406,plain,
    ( spl4_190
  <=> ! [X2,X0,X1] :
        ( vplus(X2,sK1(X1,X0)) != X1
        | X0 = X2
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_190])]) ).

fof(f605,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X2,sK1(X1,X0)) != X1
        | X0 = X2
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_39
    | ~ spl4_45 ),
    inference(superposition,[],[f395,f590]) ).

fof(f7404,plain,
    ( spl4_189
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f604,f589,f390,f7402]) ).

fof(f7402,plain,
    ( spl4_189
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,sK1(X1,X0)),X1)
        | ~ greater(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_189])]) ).

fof(f604,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,sK1(X1,X0)),X1)
        | ~ greater(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(superposition,[],[f391,f590]) ).

fof(f7400,plain,
    ( spl4_188
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f603,f589,f390,f7398]) ).

fof(f7398,plain,
    ( spl4_188
  <=> ! [X2,X0,X1] :
        ( greater(X1,vplus(X2,sK1(X1,X0)))
        | ~ greater(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_188])]) ).

fof(f603,plain,
    ( ! [X2,X0,X1] :
        ( greater(X1,vplus(X2,sK1(X1,X0)))
        | ~ greater(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_38
    | ~ spl4_45 ),
    inference(superposition,[],[f391,f590]) ).

fof(f7396,plain,
    ( spl4_187
    | ~ spl4_36
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f602,f589,f378,f7394]) ).

fof(f7394,plain,
    ( spl4_187
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,sK1(X1,X0)),X1)
        | ~ less(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_187])]) ).

fof(f602,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,sK1(X1,X0)),X1)
        | ~ less(X2,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_36
    | ~ spl4_45 ),
    inference(superposition,[],[f379,f590]) ).

fof(f7391,plain,
    ( spl4_186
    | ~ spl4_36
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f601,f589,f378,f7389]) ).

fof(f7389,plain,
    ( spl4_186
  <=> ! [X2,X0,X1] :
        ( less(X1,vplus(X2,sK1(X1,X0)))
        | ~ less(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_186])]) ).

fof(f601,plain,
    ( ! [X2,X0,X1] :
        ( less(X1,vplus(X2,sK1(X1,X0)))
        | ~ less(X0,X2)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_36
    | ~ spl4_45 ),
    inference(superposition,[],[f379,f590]) ).

fof(f7387,plain,
    ( spl4_185
    | ~ spl4_33
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f599,f589,f366,f7385]) ).

fof(f7385,plain,
    ( spl4_185
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) != X1
        | sK1(X1,X0) = X2
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_185])]) ).

fof(f599,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != X1
        | sK1(X1,X0) = X2
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_33
    | ~ spl4_45 ),
    inference(superposition,[],[f367,f590]) ).

fof(f7381,plain,
    ( spl4_184
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f640,f589,f292,f7379]) ).

fof(f7379,plain,
    ( spl4_184
  <=> ! [X2,X0,X1] :
        ( X0 != X2
        | vplus(X0,X1) = vplus(X2,sK1(vplus(X0,X1),X2))
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_184])]) ).

fof(f640,plain,
    ( ! [X2,X0,X1] :
        ( X0 != X2
        | vplus(X0,X1) = vplus(X2,sK1(vplus(X0,X1),X2))
        | vplus(X0,X1) = X2 )
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(superposition,[],[f293,f590]) ).

fof(f7377,plain,
    ( spl4_183
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f616,f589,f292,f7375]) ).

fof(f7375,plain,
    ( spl4_183
  <=> ! [X2,X0,X1] :
        ( X0 != X2
        | vplus(X0,X1) = vplus(X2,sK0(X2,vplus(X0,X1)))
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_183])]) ).

fof(f616,plain,
    ( ! [X2,X0,X1] :
        ( X0 != X2
        | vplus(X0,X1) = vplus(X2,sK0(X2,vplus(X0,X1)))
        | vplus(X0,X1) = X2 )
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(superposition,[],[f293,f590]) ).

fof(f7156,plain,
    ( spl4_182
    | ~ spl4_35
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f444,f390,f374,f7154]) ).

fof(f7154,plain,
    ( spl4_182
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X2,sK3(vplus(X1,X2),vplus(X0,X2))))
        | ~ greater(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_182])]) ).

fof(f444,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) = vplus(X1,vplus(X2,sK3(vplus(X1,X2),vplus(X0,X2))))
        | ~ greater(X0,X1) )
    | ~ spl4_35
    | ~ spl4_38 ),
    inference(forward_demodulation,[],[f435,f161]) ).

fof(f161,plain,
    ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X55,X56,X57] : vplus(vplus(X55,X56),X57) = vplus(X55,vplus(X56,X57)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f435,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | vplus(X0,X2) = vplus(vplus(X1,X2),sK3(vplus(X1,X2),vplus(X0,X2))) )
    | ~ spl4_35
    | ~ spl4_38 ),
    inference(resolution,[],[f391,f375]) ).

fof(f7152,plain,
    ( spl4_181
    | ~ spl4_34
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f428,f378,f370,f7150]) ).

fof(f428,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) = vplus(X0,vplus(X2,sK2(vplus(X1,X2),vplus(X0,X2))))
        | ~ less(X0,X1) )
    | ~ spl4_34
    | ~ spl4_36 ),
    inference(forward_demodulation,[],[f417,f161]) ).

fof(f417,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | vplus(X1,X2) = vplus(vplus(X0,X2),sK2(vplus(X1,X2),vplus(X0,X2))) )
    | ~ spl4_34
    | ~ spl4_36 ),
    inference(resolution,[],[f379,f371]) ).

fof(f6627,plain,
    ( spl4_180
    | ~ spl4_42
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f581,f561,f470,f6625]) ).

fof(f6625,plain,
    ( spl4_180
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1))
        | ~ greater(X4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_180])]) ).

fof(f581,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X3,X4),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1))
        | ~ greater(X4,X2) )
    | ~ spl4_42
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f471]) ).

fof(f6623,plain,
    ( spl4_179
    | ~ spl4_43
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f580,f561,f474,f6621]) ).

fof(f6621,plain,
    ( spl4_179
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1)
        | ~ greater(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_179])]) ).

fof(f580,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1)
        | ~ greater(X3,vplus(X0,X1)) )
    | ~ spl4_43
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f475]) ).

fof(f6619,plain,
    ( spl4_178
    | ~ spl4_43
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f578,f561,f474,f6617]) ).

fof(f6617,plain,
    ( spl4_178
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0)
        | ~ greater(X3,vplus(v1,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_178])]) ).

fof(f578,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X2,X3),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0)
        | ~ greater(X3,vplus(v1,X1)) )
    | ~ spl4_43
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f475]) ).

fof(f6614,plain,
    ( spl4_177
    | ~ spl4_20
    | ~ spl4_142 ),
    inference(avatar_split_clause,[],[f4707,f3298,f272,f6611]) ).

fof(f6611,plain,
    ( spl4_177
  <=> geq(vd353,vd356) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_177])]) ).

fof(f4707,plain,
    ( geq(vd353,vd356)
    | ~ spl4_20
    | ~ spl4_142 ),
    inference(resolution,[],[f3299,f273]) ).

fof(f6609,plain,
    ( spl4_176
    | ~ spl4_42
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f575,f561,f470,f6607]) ).

fof(f6607,plain,
    ( spl4_176
  <=> ! [X4,X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vplus(X0,X1),X3)
        | ~ greater(X2,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_176])]) ).

fof(f575,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X4))
        | ~ greater(vplus(X0,X1),X3)
        | ~ greater(X2,X4) )
    | ~ spl4_42
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f471]) ).

fof(f6605,plain,
    ( spl4_175
    | ~ spl4_43
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f574,f561,f474,f6603]) ).

fof(f6603,plain,
    ( spl4_175
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(v1,X2)
        | ~ greater(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_175])]) ).

fof(f574,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,X3))
        | ~ greater(v1,X2)
        | ~ greater(vplus(X0,X1),X3) )
    | ~ spl4_43
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f475]) ).

fof(f6601,plain,
    ( spl4_174
    | ~ spl4_43
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f572,f561,f474,f6599]) ).

fof(f6599,plain,
    ( spl4_174
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(vplus(v1,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_174])]) ).

fof(f572,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(vplus(v1,X1),X3) )
    | ~ spl4_43
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f475]) ).

fof(f6597,plain,
    ( spl4_173
    | ~ spl4_24
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f462,f402,f313,f6595]) ).

fof(f6595,plain,
    ( spl4_173
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | less(vplus(X0,X2),vplus(X1,X2))
        | vplus(X0,X2) = vplus(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_173])]) ).

fof(f313,plain,
    ( spl4_24
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | greater(X0,X1)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f462,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,X1)
        | less(vplus(X0,X2),vplus(X1,X2))
        | vplus(X0,X2) = vplus(X1,X2) )
    | ~ spl4_24
    | ~ spl4_41 ),
    inference(resolution,[],[f403,f314]) ).

fof(f314,plain,
    ( ! [X0,X1] :
        ( greater(X0,X1)
        | less(X0,X1)
        | X0 = X1 )
    | ~ spl4_24 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f5207,plain,
    ( spl4_172
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f622,f589,f292,f5205]) ).

fof(f5205,plain,
    ( spl4_172
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) != X0
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_172])]) ).

fof(f622,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) != X0
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(superposition,[],[f293,f590]) ).

fof(f5203,plain,
    ( spl4_171
    | ~ spl4_6
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f618,f589,f213,f5201]) ).

fof(f5201,plain,
    ( spl4_171
  <=> ! [X0,X1] :
        ( sK0(X0,X1) != X1
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_171])]) ).

fof(f618,plain,
    ( ! [X0,X1] :
        ( sK0(X0,X1) != X1
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_6
    | ~ spl4_45 ),
    inference(superposition,[],[f214,f590]) ).

fof(f5199,plain,
    ( spl4_170
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f598,f589,f292,f5197]) ).

fof(f5197,plain,
    ( spl4_170
  <=> ! [X2,X0,X1] :
        ( vplus(X1,X2) != X0
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_170])]) ).

fof(f598,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X1,X2) != X0
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_22
    | ~ spl4_45 ),
    inference(superposition,[],[f293,f590]) ).

fof(f5195,plain,
    ( spl4_169
    | ~ spl4_6
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f594,f589,f213,f5193]) ).

fof(f5193,plain,
    ( spl4_169
  <=> ! [X0,X1] :
        ( sK1(X1,X0) != X1
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_169])]) ).

fof(f594,plain,
    ( ! [X0,X1] :
        ( sK1(X1,X0) != X1
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_6
    | ~ spl4_45 ),
    inference(superposition,[],[f214,f590]) ).

fof(f5191,plain,
    ( spl4_168
    | ~ spl4_31
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f579,f561,f341,f5189]) ).

fof(f579,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X2),X0)
        | ~ greater(X1,v1)
        | ~ greater(X2,vskolem2(X0))
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f342]) ).

fof(f5187,plain,
    ( spl4_167
    | ~ spl4_31
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f573,f561,f341,f5185]) ).

fof(f573,plain,
    ( ! [X2,X0,X1] :
        ( greater(X0,vplus(X1,X2))
        | ~ greater(v1,X1)
        | ~ greater(vskolem2(X0),X2)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f342]) ).

fof(f5183,plain,
    ( spl4_166
    | ~ spl4_42
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f557,f474,f470,f5181]) ).

fof(f5181,plain,
    ( spl4_166
  <=> ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(v1,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_166])]) ).

fof(f557,plain,
    ( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(v1,vplus(X1,X2)))
    | ~ spl4_42
    | ~ spl4_43 ),
    inference(forward_demodulation,[],[f552,f471]) ).

fof(f552,plain,
    ( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) = vplus(X0,vplus(vplus(v1,X1),X2))
    | ~ spl4_42
    | ~ spl4_43 ),
    inference(superposition,[],[f471,f475]) ).

fof(f5179,plain,
    ( spl4_165
    | ~ spl4_42
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f556,f474,f470,f5177]) ).

fof(f5177,plain,
    ( spl4_165
  <=> ! [X2,X0,X1] : vplus(vplus(X0,vplus(v1,X1)),X2) = vplus(v1,vplus(X0,vplus(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_165])]) ).

fof(f556,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X0,vplus(v1,X1)),X2) = vplus(v1,vplus(X0,vplus(X1,X2)))
    | ~ spl4_42
    | ~ spl4_43 ),
    inference(forward_demodulation,[],[f532,f471]) ).

fof(f532,plain,
    ( ! [X2,X0,X1] : vplus(v1,vplus(vplus(X0,X1),X2)) = vplus(vplus(X0,vplus(v1,X1)),X2)
    | ~ spl4_42
    | ~ spl4_43 ),
    inference(superposition,[],[f471,f475]) ).

fof(f5175,plain,
    ( spl4_164
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f509,f474,f5173]) ).

fof(f5173,plain,
    ( spl4_164
  <=> ! [X2,X0,X1] : vplus(v1,vplus(X2,vplus(X0,X1))) = vplus(X2,vplus(X0,vplus(v1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_164])]) ).

fof(f509,plain,
    ( ! [X2,X0,X1] : vplus(v1,vplus(X2,vplus(X0,X1))) = vplus(X2,vplus(X0,vplus(v1,X1)))
    | ~ spl4_43 ),
    inference(superposition,[],[f475,f475]) ).

fof(f4056,plain,
    ( spl4_162
    | spl4_163
    | ~ spl4_24
    | spl4_142 ),
    inference(avatar_split_clause,[],[f3348,f3298,f313,f4053,f4049]) ).

fof(f3348,plain,
    ( less(vd353,vd356)
    | vd353 = vd356
    | ~ spl4_24
    | spl4_142 ),
    inference(resolution,[],[f3300,f314]) ).

fof(f3300,plain,
    ( ~ greater(vd353,vd356)
    | spl4_142 ),
    inference(avatar_component_clause,[],[f3298]) ).

fof(f3380,plain,
    ( spl4_161
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f551,f474,f402,f3378]) ).

fof(f551,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | greater(X2,X0) )
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(superposition,[],[f403,f475]) ).

fof(f3376,plain,
    ( spl4_160
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f550,f474,f402,f3374]) ).

fof(f550,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | greater(X0,X2) )
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(superposition,[],[f403,f475]) ).

fof(f3372,plain,
    ( spl4_159
    | ~ spl4_40
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f549,f474,f398,f3370]) ).

fof(f549,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | less(X2,X0) )
    | ~ spl4_40
    | ~ spl4_43 ),
    inference(superposition,[],[f399,f475]) ).

fof(f3368,plain,
    ( spl4_158
    | ~ spl4_40
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f548,f474,f398,f3366]) ).

fof(f548,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | less(X0,X2) )
    | ~ spl4_40
    | ~ spl4_43 ),
    inference(superposition,[],[f399,f475]) ).

fof(f3364,plain,
    ( spl4_157
    | ~ spl4_39
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f546,f474,f394,f3362]) ).

fof(f546,plain,
    ( ! [X2,X0,X1] :
        ( vplus(v1,vplus(X0,X1)) != vplus(X2,vplus(v1,X1))
        | X0 = X2 )
    | ~ spl4_39
    | ~ spl4_43 ),
    inference(superposition,[],[f395,f475]) ).

fof(f3360,plain,
    ( spl4_156
    | ~ spl4_38
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f545,f474,f390,f3358]) ).

fof(f545,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ greater(X2,X0) )
    | ~ spl4_38
    | ~ spl4_43 ),
    inference(superposition,[],[f391,f475]) ).

fof(f3356,plain,
    ( spl4_155
    | ~ spl4_38
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f544,f474,f390,f3354]) ).

fof(f544,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ greater(X0,X2) )
    | ~ spl4_38
    | ~ spl4_43 ),
    inference(superposition,[],[f391,f475]) ).

fof(f3352,plain,
    ( spl4_154
    | ~ spl4_36
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f543,f474,f378,f3350]) ).

fof(f543,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(v1,X1)),vplus(v1,vplus(X0,X1)))
        | ~ less(X2,X0) )
    | ~ spl4_36
    | ~ spl4_43 ),
    inference(superposition,[],[f379,f475]) ).

fof(f3345,plain,
    ( spl4_153
    | ~ spl4_36
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f542,f474,f378,f3343]) ).

fof(f3343,plain,
    ( spl4_153
  <=> ! [X2,X0,X1] :
        ( less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ less(X0,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_153])]) ).

fof(f542,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(v1,vplus(X0,X1)),vplus(X2,vplus(v1,X1)))
        | ~ less(X0,X2) )
    | ~ spl4_36
    | ~ spl4_43 ),
    inference(superposition,[],[f379,f475]) ).

fof(f3341,plain,
    ( spl4_152
    | ~ spl4_33
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f540,f474,f366,f3339]) ).

fof(f3339,plain,
    ( spl4_152
  <=> ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(v1,vplus(X0,X1))
        | vplus(v1,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_152])]) ).

fof(f540,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(v1,vplus(X0,X1))
        | vplus(v1,X1) = X2 )
    | ~ spl4_33
    | ~ spl4_43 ),
    inference(superposition,[],[f367,f475]) ).

fof(f3337,plain,
    ( spl4_151
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f531,f474,f402,f3335]) ).

fof(f3335,plain,
    ( spl4_151
  <=> ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | greater(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_151])]) ).

fof(f531,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | greater(X2,v1) )
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(superposition,[],[f403,f475]) ).

fof(f3333,plain,
    ( spl4_150
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f530,f474,f402,f3331]) ).

fof(f530,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | greater(v1,X2) )
    | ~ spl4_41
    | ~ spl4_43 ),
    inference(superposition,[],[f403,f475]) ).

fof(f3329,plain,
    ( spl4_149
    | ~ spl4_40
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f529,f474,f398,f3327]) ).

fof(f3327,plain,
    ( spl4_149
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | less(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_149])]) ).

fof(f529,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | less(X2,v1) )
    | ~ spl4_40
    | ~ spl4_43 ),
    inference(superposition,[],[f399,f475]) ).

fof(f3325,plain,
    ( spl4_148
    | ~ spl4_40
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f528,f474,f398,f3323]) ).

fof(f3323,plain,
    ( spl4_148
  <=> ! [X2,X0,X1] :
        ( ~ less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | less(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_148])]) ).

fof(f528,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | less(v1,X2) )
    | ~ spl4_40
    | ~ spl4_43 ),
    inference(superposition,[],[f399,f475]) ).

fof(f3321,plain,
    ( spl4_147
    | ~ spl4_39
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f526,f474,f394,f3319]) ).

fof(f3319,plain,
    ( spl4_147
  <=> ! [X2,X0,X1] :
        ( vplus(X0,vplus(v1,X1)) != vplus(X2,vplus(X0,X1))
        | v1 = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_147])]) ).

fof(f526,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,vplus(v1,X1)) != vplus(X2,vplus(X0,X1))
        | v1 = X2 )
    | ~ spl4_39
    | ~ spl4_43 ),
    inference(superposition,[],[f395,f475]) ).

fof(f3317,plain,
    ( spl4_146
    | ~ spl4_38
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f525,f474,f390,f3315]) ).

fof(f3315,plain,
    ( spl4_146
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_146])]) ).

fof(f525,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ greater(X2,v1) )
    | ~ spl4_38
    | ~ spl4_43 ),
    inference(superposition,[],[f391,f475]) ).

fof(f3313,plain,
    ( spl4_145
    | ~ spl4_38
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f524,f474,f390,f3311]) ).

fof(f3311,plain,
    ( spl4_145
  <=> ! [X2,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ greater(v1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_145])]) ).

fof(f524,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ greater(v1,X2) )
    | ~ spl4_38
    | ~ spl4_43 ),
    inference(superposition,[],[f391,f475]) ).

fof(f3309,plain,
    ( spl4_144
    | ~ spl4_36
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f523,f474,f378,f3307]) ).

fof(f3307,plain,
    ( spl4_144
  <=> ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ less(X2,v1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_144])]) ).

fof(f523,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,vplus(X0,X1)),vplus(X0,vplus(v1,X1)))
        | ~ less(X2,v1) )
    | ~ spl4_36
    | ~ spl4_43 ),
    inference(superposition,[],[f379,f475]) ).

fof(f3305,plain,
    ( ~ spl4_142
    | ~ spl4_143
    | spl4_1
    | ~ spl4_57
    | ~ spl4_124 ),
    inference(avatar_split_clause,[],[f3155,f2754,f797,f192,f3302,f3298]) ).

fof(f3302,plain,
    ( spl4_143
  <=> greater(vd355,vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_143])]) ).

fof(f3155,plain,
    ( ~ greater(vd355,vd353)
    | ~ greater(vd353,vd356)
    | spl4_1
    | ~ spl4_57
    | ~ spl4_124 ),
    inference(forward_demodulation,[],[f3113,f799]) ).

fof(f3296,plain,
    ( spl4_141
    | ~ spl4_36
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f522,f474,f378,f3294]) ).

fof(f522,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X0,vplus(v1,X1)),vplus(X2,vplus(X0,X1)))
        | ~ less(v1,X2) )
    | ~ spl4_36
    | ~ spl4_43 ),
    inference(superposition,[],[f379,f475]) ).

fof(f3292,plain,
    ( spl4_140
    | ~ spl4_33
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f520,f474,f366,f3290]) ).

fof(f3290,plain,
    ( spl4_140
  <=> ! [X2,X0,X1] :
        ( vplus(X0,vplus(v1,X1)) != vplus(v1,X2)
        | vplus(X0,X1) = X2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_140])]) ).

fof(f520,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,vplus(v1,X1)) != vplus(v1,X2)
        | vplus(X0,X1) = X2 )
    | ~ spl4_33
    | ~ spl4_43 ),
    inference(superposition,[],[f367,f475]) ).

fof(f3288,plain,
    ( spl4_139
    | ~ spl4_41
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f502,f470,f402,f3286]) ).

fof(f3286,plain,
    ( spl4_139
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | greater(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_139])]) ).

fof(f502,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | greater(X3,vplus(X0,X1)) )
    | ~ spl4_41
    | ~ spl4_42 ),
    inference(superposition,[],[f403,f471]) ).

fof(f3284,plain,
    ( spl4_138
    | ~ spl4_41
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f501,f470,f402,f3282]) ).

fof(f3282,plain,
    ( spl4_138
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | greater(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_138])]) ).

fof(f501,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | greater(vplus(X0,X1),X3) )
    | ~ spl4_41
    | ~ spl4_42 ),
    inference(superposition,[],[f403,f471]) ).

fof(f3280,plain,
    ( spl4_137
    | ~ spl4_40
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f500,f470,f398,f3278]) ).

fof(f3278,plain,
    ( spl4_137
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | less(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_137])]) ).

fof(f500,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | less(X3,vplus(X0,X1)) )
    | ~ spl4_40
    | ~ spl4_42 ),
    inference(superposition,[],[f399,f471]) ).

fof(f3276,plain,
    ( spl4_136
    | ~ spl4_40
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f499,f470,f398,f3274]) ).

fof(f3274,plain,
    ( spl4_136
  <=> ! [X0,X3,X2,X1] :
        ( ~ less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | less(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_136])]) ).

fof(f499,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | less(vplus(X0,X1),X3) )
    | ~ spl4_40
    | ~ spl4_42 ),
    inference(superposition,[],[f399,f471]) ).

fof(f3272,plain,
    ( spl4_135
    | ~ spl4_39
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f497,f470,f394,f3270]) ).

fof(f3270,plain,
    ( spl4_135
  <=> ! [X0,X3,X2,X1] :
        ( vplus(X0,vplus(X1,X2)) != vplus(X3,X2)
        | vplus(X0,X1) = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_135])]) ).

fof(f497,plain,
    ( ! [X2,X3,X0,X1] :
        ( vplus(X0,vplus(X1,X2)) != vplus(X3,X2)
        | vplus(X0,X1) = X3 )
    | ~ spl4_39
    | ~ spl4_42 ),
    inference(superposition,[],[f395,f471]) ).

fof(f3268,plain,
    ( spl4_134
    | ~ spl4_38
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f496,f470,f390,f3266]) ).

fof(f3266,plain,
    ( spl4_134
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_134])]) ).

fof(f496,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ greater(X3,vplus(X0,X1)) )
    | ~ spl4_38
    | ~ spl4_42 ),
    inference(superposition,[],[f391,f471]) ).

fof(f3264,plain,
    ( spl4_133
    | ~ spl4_38
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f495,f470,f390,f3262]) ).

fof(f3262,plain,
    ( spl4_133
  <=> ! [X0,X3,X2,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ greater(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_133])]) ).

fof(f495,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ greater(vplus(X0,X1),X3) )
    | ~ spl4_38
    | ~ spl4_42 ),
    inference(superposition,[],[f391,f471]) ).

fof(f3260,plain,
    ( spl4_132
    | ~ spl4_36
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f494,f470,f378,f3258]) ).

fof(f3258,plain,
    ( spl4_132
  <=> ! [X0,X3,X2,X1] :
        ( less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ less(X3,vplus(X0,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_132])]) ).

fof(f494,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X3,X2),vplus(X0,vplus(X1,X2)))
        | ~ less(X3,vplus(X0,X1)) )
    | ~ spl4_36
    | ~ spl4_42 ),
    inference(superposition,[],[f379,f471]) ).

fof(f3255,plain,
    ( ~ spl4_9
    | spl4_129 ),
    inference(avatar_contradiction_clause,[],[f3247]) ).

fof(f3247,plain,
    ( $false
    | ~ spl4_9
    | spl4_129 ),
    inference(resolution,[],[f2930,f226]) ).

fof(f2930,plain,
    ( ~ less(vd353,vplus(vd353,vd355))
    | spl4_129 ),
    inference(avatar_component_clause,[],[f2928]) ).

fof(f2928,plain,
    ( spl4_129
  <=> less(vd353,vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_129])]) ).

fof(f3246,plain,
    ( spl4_131
    | ~ spl4_36
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f493,f470,f378,f3244]) ).

fof(f3244,plain,
    ( spl4_131
  <=> ! [X0,X3,X2,X1] :
        ( less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ less(vplus(X0,X1),X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_131])]) ).

fof(f493,plain,
    ( ! [X2,X3,X0,X1] :
        ( less(vplus(X0,vplus(X1,X2)),vplus(X3,X2))
        | ~ less(vplus(X0,X1),X3) )
    | ~ spl4_36
    | ~ spl4_42 ),
    inference(superposition,[],[f379,f471]) ).

fof(f3242,plain,
    ( spl4_130
    | ~ spl4_33
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f491,f470,f366,f3240]) ).

fof(f3240,plain,
    ( spl4_130
  <=> ! [X0,X3,X2,X1] :
        ( vplus(X0,vplus(X1,X2)) != vplus(vplus(X0,X1),X3)
        | X2 = X3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_130])]) ).

fof(f491,plain,
    ( ! [X2,X3,X0,X1] :
        ( vplus(X0,vplus(X1,X2)) != vplus(vplus(X0,X1),X3)
        | X2 = X3 )
    | ~ spl4_33
    | ~ spl4_42 ),
    inference(superposition,[],[f367,f471]) ).

fof(f2931,plain,
    ( ~ spl4_129
    | ~ spl4_57
    | spl4_85 ),
    inference(avatar_split_clause,[],[f2367,f1320,f797,f2928]) ).

fof(f1320,plain,
    ( spl4_85
  <=> less(vd354,vplus(vd353,vd355)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).

fof(f2367,plain,
    ( ~ less(vd353,vplus(vd353,vd355))
    | ~ spl4_57
    | spl4_85 ),
    inference(superposition,[],[f1321,f799]) ).

fof(f1321,plain,
    ( ~ less(vd354,vplus(vd353,vd355))
    | spl4_85 ),
    inference(avatar_component_clause,[],[f1320]) ).

fof(f2772,plain,
    ( spl4_128
    | ~ spl4_9
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f621,f589,f225,f2770]) ).

fof(f2770,plain,
    ( spl4_128
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_128])]) ).

fof(f621,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_9
    | ~ spl4_45 ),
    inference(superposition,[],[f226,f590]) ).

fof(f2768,plain,
    ( spl4_127
    | ~ spl4_7
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f619,f589,f217,f2766]) ).

fof(f619,plain,
    ( ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK1(X0,X1)) = X0
        | X0 = X1 )
    | ~ spl4_7
    | ~ spl4_45 ),
    inference(superposition,[],[f218,f590]) ).

fof(f2764,plain,
    ( spl4_126
    | ~ spl4_9
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f597,f589,f225,f2762]) ).

fof(f2762,plain,
    ( spl4_126
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_126])]) ).

fof(f597,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_9
    | ~ spl4_45 ),
    inference(superposition,[],[f226,f590]) ).

fof(f2760,plain,
    ( spl4_125
    | ~ spl4_7
    | ~ spl4_45 ),
    inference(avatar_split_clause,[],[f595,f589,f217,f2758]) ).

fof(f595,plain,
    ( ! [X0,X1] :
        ( greater(X1,X0)
        | vplus(X1,sK0(X1,X0)) = X0
        | X0 = X1 )
    | ~ spl4_7
    | ~ spl4_45 ),
    inference(superposition,[],[f218,f590]) ).

fof(f2756,plain,
    ( spl4_124
    | ~ spl4_21
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f570,f561,f288,f2754]) ).

fof(f570,plain,
    ( ! [X2,X3,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X3))
        | ~ greater(X0,X2)
        | ~ greater(X1,X3) )
    | ~ spl4_21
    | ~ spl4_44 ),
    inference(superposition,[],[f562,f289]) ).

fof(f2752,plain,
    ( spl4_123
    | ~ spl4_18
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f569,f561,f264,f2750]) ).

fof(f2750,plain,
    ( spl4_123
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | less(vplus(X1,X3),vplus(X0,X2)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_123])]) ).

fof(f569,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | less(vplus(X1,X3),vplus(X0,X2)) )
    | ~ spl4_18
    | ~ spl4_44 ),
    inference(resolution,[],[f562,f265]) ).

fof(f2748,plain,
    ( spl4_122
    | ~ spl4_20
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f568,f561,f272,f2746]) ).

fof(f2746,plain,
    ( spl4_122
  <=> ! [X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | geq(vplus(X0,X2),vplus(X1,X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_122])]) ).

fof(f568,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ greater(X2,X3)
        | geq(vplus(X0,X2),vplus(X1,X3)) )
    | ~ spl4_20
    | ~ spl4_44 ),
    inference(resolution,[],[f562,f273]) ).

fof(f2739,plain,
    ( ~ spl4_7
    | spl4_117 ),
    inference(avatar_contradiction_clause,[],[f2737]) ).

fof(f2737,plain,
    ( $false
    | ~ spl4_7
    | spl4_117 ),
    inference(resolution,[],[f2646,f218]) ).

fof(f2646,plain,
    ( ~ greater(vplus(vd353,vd355),vd353)
    | spl4_117 ),
    inference(avatar_component_clause,[],[f2644]) ).

fof(f2644,plain,
    ( spl4_117
  <=> greater(vplus(vd353,vd355),vd353) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_117])]) ).

fof(f2736,plain,
    ( spl4_121
    | ~ spl4_31
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f508,f474,f341,f2734]) ).

fof(f2734,plain,
    ( spl4_121
  <=> ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,vskolem2(X0)))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_121])]) ).

fof(f508,plain,
    ( ! [X0,X1] :
        ( vplus(X1,X0) = vplus(v1,vplus(X1,vskolem2(X0)))
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_43 ),
    inference(superposition,[],[f475,f342]) ).

fof(f2732,plain,
    ( spl4_120
    | ~ spl4_31
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f479,f470,f341,f2730]) ).

fof(f2730,plain,
    ( spl4_120
  <=> ! [X0,X1] :
        ( vplus(X0,X1) = vplus(v1,vplus(vskolem2(X0),X1))
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_120])]) ).

fof(f479,plain,
    ( ! [X0,X1] :
        ( vplus(X0,X1) = vplus(v1,vplus(vskolem2(X0),X1))
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_42 ),
    inference(superposition,[],[f471,f342]) ).

fof(f2728,plain,
    ( spl4_119
    | ~ spl4_28
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f418,f378,f329,f2726]) ).

fof(f418,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ less(X0,X1)
        | ~ less(X2,vplus(X0,X3))
        | less(X2,vplus(X1,X3)) )
    | ~ spl4_28
    | ~ spl4_36 ),
    inference(resolution,[],[f379,f330]) ).

fof(f2724,plain,
    ( spl4_118
    | ~ spl4_24
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f413,f374,f313,f2722]) ).

fof(f2722,plain,
    ( spl4_118
  <=> ! [X0,X1] :
        ( vplus(X0,sK3(X0,X1)) = X1
        | less(X1,X0)
        | X0 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_118])]) ).

fof(f413,plain,
    ( ! [X0,X1] :
        ( vplus(X0,sK3(X0,X1)) = X1
        | less(X1,X0)
        | X0 = X1 )
    | ~ spl4_24
    | ~ spl4_35 ),
    inference(resolution,[],[f375,f314]) ).

fof(f2647,plain,
    ( ~ spl4_117
    | ~ spl4_57
    | spl4_59 ),
    inference(avatar_split_clause,[],[f829,f825,f797,f2644]) ).

fof(f825,plain,
    ( spl4_59
  <=> greater(vplus(vd353,vd355),vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).

fof(f829,plain,
    ( ~ greater(vplus(vd353,vd355),vd353)
    | ~ spl4_57
    | spl4_59 ),
    inference(forward_demodulation,[],[f826,f799]) ).

fof(f826,plain,
    ( ~ greater(vplus(vd353,vd355),vd354)
    | spl4_59 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f2592,plain,
    ( spl4_116
    | ~ spl4_31
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f468,f402,f341,f2590]) ).

fof(f2590,plain,
    ( spl4_116
  <=> ! [X0,X1] :
        ( ~ greater(vplus(X1,vskolem2(X0)),X0)
        | greater(X1,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_116])]) ).

fof(f468,plain,
    ( ! [X0,X1] :
        ( ~ greater(vplus(X1,vskolem2(X0)),X0)
        | greater(X1,v1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_41 ),
    inference(superposition,[],[f403,f342]) ).

fof(f2588,plain,
    ( spl4_115
    | ~ spl4_31
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f465,f402,f341,f2586]) ).

fof(f2586,plain,
    ( spl4_115
  <=> ! [X0,X1] :
        ( ~ greater(X0,vplus(X1,vskolem2(X0)))
        | greater(v1,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_115])]) ).

fof(f465,plain,
    ( ! [X0,X1] :
        ( ~ greater(X0,vplus(X1,vskolem2(X0)))
        | greater(v1,X1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_41 ),
    inference(superposition,[],[f403,f342]) ).

fof(f2584,plain,
    ( spl4_114
    | ~ spl4_31
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f459,f398,f341,f2582]) ).

fof(f2582,plain,
    ( spl4_114
  <=> ! [X0,X1] :
        ( ~ less(vplus(X1,vskolem2(X0)),X0)
        | less(X1,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_114])]) ).

fof(f459,plain,
    ( ! [X0,X1] :
        ( ~ less(vplus(X1,vskolem2(X0)),X0)
        | less(X1,v1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_40 ),
    inference(superposition,[],[f399,f342]) ).

fof(f2580,plain,
    ( spl4_113
    | ~ spl4_31
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f456,f398,f341,f2578]) ).

fof(f2578,plain,
    ( spl4_113
  <=> ! [X0,X1] :
        ( ~ less(X0,vplus(X1,vskolem2(X0)))
        | less(v1,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_113])]) ).

fof(f456,plain,
    ( ! [X0,X1] :
        ( ~ less(X0,vplus(X1,vskolem2(X0)))
        | less(v1,X1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_40 ),
    inference(superposition,[],[f399,f342]) ).

fof(f2576,plain,
    ( spl4_112
    | ~ spl4_31
    | ~ spl4_39 ),
    inference(avatar_split_clause,[],[f447,f394,f341,f2574]) ).

fof(f2574,plain,
    ( spl4_112
  <=> ! [X0,X1] :
        ( vplus(X1,vskolem2(X0)) != X0
        | v1 = X1
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_112])]) ).

fof(f447,plain,
    ( ! [X0,X1] :
        ( vplus(X1,vskolem2(X0)) != X0
        | v1 = X1
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_39 ),
    inference(superposition,[],[f395,f342]) ).

fof(f2572,plain,
    ( spl4_111
    | ~ spl4_31
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f443,f390,f341,f2570]) ).

fof(f2570,plain,
    ( spl4_111
  <=> ! [X0,X1] :
        ( greater(vplus(X1,vskolem2(X0)),X0)
        | ~ greater(X1,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_111])]) ).

fof(f443,plain,
    ( ! [X0,X1] :
        ( greater(vplus(X1,vskolem2(X0)),X0)
        | ~ greater(X1,v1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_38 ),
    inference(superposition,[],[f391,f342]) ).

fof(f2564,plain,
    ( spl4_110
    | ~ spl4_20
    | ~ spl4_59 ),
    inference(avatar_split_clause,[],[f1362,f825,f272,f2561]) ).

fof(f2561,plain,
    ( spl4_110
  <=> geq(vplus(vd353,vd355),vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_110])]) ).

fof(f1362,plain,
    ( geq(vplus(vd353,vd355),vd354)
    | ~ spl4_20
    | ~ spl4_59 ),
    inference(resolution,[],[f827,f273]) ).

fof(f827,plain,
    ( greater(vplus(vd353,vd355),vd354)
    | ~ spl4_59 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f2559,plain,
    ( spl4_109
    | ~ spl4_31
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f440,f390,f341,f2557]) ).

fof(f2557,plain,
    ( spl4_109
  <=> ! [X0,X1] :
        ( greater(X0,vplus(X1,vskolem2(X0)))
        | ~ greater(v1,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_109])]) ).

fof(f440,plain,
    ( ! [X0,X1] :
        ( greater(X0,vplus(X1,vskolem2(X0)))
        | ~ greater(v1,X1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_38 ),
    inference(superposition,[],[f391,f342]) ).

fof(f2555,plain,
    ( spl4_108
    | ~ spl4_31
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f427,f378,f341,f2553]) ).

fof(f2553,plain,
    ( spl4_108
  <=> ! [X0,X1] :
        ( less(vplus(X1,vskolem2(X0)),X0)
        | ~ less(X1,v1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_108])]) ).

fof(f427,plain,
    ( ! [X0,X1] :
        ( less(vplus(X1,vskolem2(X0)),X0)
        | ~ less(X1,v1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_36 ),
    inference(superposition,[],[f379,f342]) ).

fof(f2551,plain,
    ( spl4_107
    | ~ spl4_31
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f424,f378,f341,f2549]) ).

fof(f2549,plain,
    ( spl4_107
  <=> ! [X0,X1] :
        ( less(X0,vplus(X1,vskolem2(X0)))
        | ~ less(v1,X1)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_107])]) ).

fof(f424,plain,
    ( ! [X0,X1] :
        ( less(X0,vplus(X1,vskolem2(X0)))
        | ~ less(v1,X1)
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_36 ),
    inference(superposition,[],[f379,f342]) ).

fof(f2547,plain,
    ( spl4_106
    | ~ spl4_31
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f407,f366,f341,f2545]) ).

fof(f2545,plain,
    ( spl4_106
  <=> ! [X0,X1] :
        ( vplus(v1,X1) != X0
        | vskolem2(X0) = X1
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_106])]) ).

fof(f407,plain,
    ( ! [X0,X1] :
        ( vplus(v1,X1) != X0
        | vskolem2(X0) = X1
        | v1 = X0 )
    | ~ spl4_31
    | ~ spl4_33 ),
    inference(superposition,[],[f367,f342]) ).

fof(f2353,plain,
    ( spl4_57
    | spl4_12
    | ~ spl4_13
    | ~ spl4_26 ),
    inference(avatar_split_clause,[],[f387,f321,f243,f238,f797]) ).

fof(f243,plain,
    ( spl4_13
  <=> geq(vd353,vd354) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).

fof(f387,plain,
    ( greater(vd353,vd354)
    | vd353 = vd354
    | ~ spl4_13
    | ~ spl4_26 ),
    inference(resolution,[],[f245,f322]) ).

fof(f245,plain,
    ( geq(vd353,vd354)
    | ~ spl4_13 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f2349,plain,
    ( ~ spl4_37
    | ~ spl4_72
    | spl4_85 ),
    inference(avatar_split_clause,[],[f1752,f1320,f1029,f382]) ).

fof(f1752,plain,
    ( ~ less(vd354,vd353)
    | ~ spl4_72
    | spl4_85 ),
    inference(resolution,[],[f1321,f1030]) ).

fof(f1779,plain,
    ( spl4_105
    | ~ spl4_21
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f512,f474,f288,f1777]) ).

fof(f1777,plain,
    ( spl4_105
  <=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(vplus(v1,X1),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_105])]) ).

fof(f512,plain,
    ( ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(vplus(v1,X1),X0)
    | ~ spl4_21
    | ~ spl4_43 ),
    inference(superposition,[],[f475,f289]) ).

fof(f1775,plain,
    ( spl4_104
    | ~ spl4_22
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f490,f470,f292,f1773]) ).

fof(f1773,plain,
    ( spl4_104
  <=> ! [X0,X3,X2,X1] : vplus(X0,X1) != vplus(vplus(X0,vplus(X1,X2)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_104])]) ).

fof(f490,plain,
    ( ! [X2,X3,X0,X1] : vplus(X0,X1) != vplus(vplus(X0,vplus(X1,X2)),X3)
    | ~ spl4_22
    | ~ spl4_42 ),
    inference(superposition,[],[f293,f471]) ).

fof(f1771,plain,
    ( spl4_103
    | ~ spl4_21
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f481,f470,f288,f1769]) ).

fof(f481,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(X2,vplus(X0,X1))
    | ~ spl4_21
    | ~ spl4_42 ),
    inference(superposition,[],[f471,f289]) ).

fof(f1767,plain,
    ( spl4_102
    | ~ spl4_21
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f477,f470,f288,f1765]) ).

fof(f477,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) = vplus(vplus(X1,X0),X2)
    | ~ spl4_21
    | ~ spl4_42 ),
    inference(superposition,[],[f471,f289]) ).

fof(f1763,plain,
    ( spl4_101
    | ~ spl4_7
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f415,f374,f217,f1761]) ).

fof(f1761,plain,
    ( spl4_101
  <=> ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK3(X0,vplus(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_101])]) ).

fof(f415,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK3(X0,vplus(X0,X1)))
    | ~ spl4_7
    | ~ spl4_35 ),
    inference(resolution,[],[f375,f218]) ).

fof(f1759,plain,
    ( spl4_100
    | ~ spl4_9
    | ~ spl4_34 ),
    inference(avatar_split_clause,[],[f412,f370,f225,f1757]) ).

fof(f412,plain,
    ( ! [X0,X1] : vplus(X0,X1) = vplus(X0,sK2(vplus(X0,X1),X0))
    | ~ spl4_9
    | ~ spl4_34 ),
    inference(resolution,[],[f371,f226]) ).

fof(f1387,plain,
    ( spl4_99
    | ~ spl4_21
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f466,f402,f288,f1385]) ).

fof(f466,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X2,X1),vplus(X1,X0))
        | greater(X2,X0) )
    | ~ spl4_21
    | ~ spl4_41 ),
    inference(superposition,[],[f403,f289]) ).

fof(f1383,plain,
    ( spl4_98
    | ~ spl4_21
    | ~ spl4_41 ),
    inference(avatar_split_clause,[],[f463,f402,f288,f1381]) ).

fof(f463,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(vplus(X1,X0),vplus(X2,X1))
        | greater(X0,X2) )
    | ~ spl4_21
    | ~ spl4_41 ),
    inference(superposition,[],[f403,f289]) ).

fof(f1379,plain,
    ( spl4_97
    | ~ spl4_21
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f457,f398,f288,f1377]) ).

fof(f457,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X2,X1),vplus(X1,X0))
        | less(X2,X0) )
    | ~ spl4_21
    | ~ spl4_40 ),
    inference(superposition,[],[f399,f289]) ).

fof(f1375,plain,
    ( spl4_96
    | ~ spl4_21
    | ~ spl4_40 ),
    inference(avatar_split_clause,[],[f454,f398,f288,f1373]) ).

fof(f454,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(vplus(X1,X0),vplus(X2,X1))
        | less(X0,X2) )
    | ~ spl4_21
    | ~ spl4_40 ),
    inference(superposition,[],[f399,f289]) ).

fof(f1371,plain,
    ( spl4_95
    | ~ spl4_21
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f441,f390,f288,f1369]) ).

fof(f441,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X2,X1),vplus(X1,X0))
        | ~ greater(X2,X0) )
    | ~ spl4_21
    | ~ spl4_38 ),
    inference(superposition,[],[f391,f289]) ).

fof(f1367,plain,
    ( spl4_94
    | ~ spl4_21
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f438,f390,f288,f1365]) ).

fof(f438,plain,
    ( ! [X2,X0,X1] :
        ( greater(vplus(X1,X0),vplus(X2,X1))
        | ~ greater(X0,X2) )
    | ~ spl4_21
    | ~ spl4_38 ),
    inference(superposition,[],[f391,f289]) ).

fof(f1360,plain,
    ( spl4_93
    | ~ spl4_18
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f437,f390,f264,f1358]) ).

fof(f437,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | less(vplus(X1,X2),vplus(X0,X2)) )
    | ~ spl4_18
    | ~ spl4_38 ),
    inference(resolution,[],[f391,f265]) ).

fof(f1356,plain,
    ( spl4_92
    | ~ spl4_20
    | ~ spl4_38 ),
    inference(avatar_split_clause,[],[f436,f390,f272,f1354]) ).

fof(f436,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | geq(vplus(X0,X2),vplus(X1,X2)) )
    | ~ spl4_20
    | ~ spl4_38 ),
    inference(resolution,[],[f391,f273]) ).

fof(f1352,plain,
    ( spl4_91
    | ~ spl4_21
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f425,f378,f288,f1350]) ).

fof(f425,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X2,X1),vplus(X1,X0))
        | ~ less(X2,X0) )
    | ~ spl4_21
    | ~ spl4_36 ),
    inference(superposition,[],[f379,f289]) ).

fof(f1348,plain,
    ( spl4_90
    | ~ spl4_21
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f422,f378,f288,f1346]) ).

fof(f422,plain,
    ( ! [X2,X0,X1] :
        ( less(vplus(X1,X0),vplus(X2,X1))
        | ~ less(X0,X2) )
    | ~ spl4_21
    | ~ spl4_36 ),
    inference(superposition,[],[f379,f289]) ).

fof(f1344,plain,
    ( spl4_89
    | ~ spl4_14
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f421,f378,f248,f1342]) ).

fof(f421,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | ~ greater(vplus(X0,X2),vplus(X1,X2)) )
    | ~ spl4_14
    | ~ spl4_36 ),
    inference(resolution,[],[f379,f249]) ).

fof(f1340,plain,
    ( spl4_88
    | ~ spl4_17
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f420,f378,f260,f1338]) ).

fof(f420,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | greater(vplus(X1,X2),vplus(X0,X2)) )
    | ~ spl4_17
    | ~ spl4_36 ),
    inference(resolution,[],[f379,f261]) ).

fof(f1336,plain,
    ( spl4_87
    | ~ spl4_19
    | ~ spl4_36 ),
    inference(avatar_split_clause,[],[f419,f378,f268,f1334]) ).

fof(f419,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | leq(vplus(X0,X2),vplus(X1,X2)) )
    | ~ spl4_19
    | ~ spl4_36 ),
    inference(resolution,[],[f379,f269]) ).

fof(f1332,plain,
    ( spl4_86
    | ~ spl4_21
    | ~ spl4_33 ),
    inference(avatar_split_clause,[],[f405,f366,f288,f1330]) ).

fof(f405,plain,
    ( ! [X2,X0,X1] :
        ( vplus(X0,X2) != vplus(X1,X0)
        | X1 = X2 )
    | ~ spl4_21
    | ~ spl4_33 ),
    inference(superposition,[],[f367,f289]) ).

fof(f1323,plain,
    ( spl4_85
    | ~ spl4_9
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f677,f665,f225,f1320]) ).

fof(f677,plain,
    ( less(vd354,vplus(vd353,vd355))
    | ~ spl4_9
    | ~ spl4_47 ),
    inference(superposition,[],[f226,f667]) ).

fof(f1155,plain,
    ( spl4_84
    | ~ spl4_22
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f539,f474,f292,f1153]) ).

fof(f539,plain,
    ( ! [X2,X0,X1] : vplus(vplus(v1,vplus(X0,X1)),X2) != X0
    | ~ spl4_22
    | ~ spl4_43 ),
    inference(superposition,[],[f293,f475]) ).

fof(f1151,plain,
    ( spl4_83
    | ~ spl4_6
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f533,f474,f213,f1149]) ).

fof(f1149,plain,
    ( spl4_83
  <=> ! [X0,X1] : vplus(v1,vplus(X0,X1)) != vplus(v1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).

fof(f533,plain,
    ( ! [X0,X1] : vplus(v1,vplus(X0,X1)) != vplus(v1,X1)
    | ~ spl4_6
    | ~ spl4_43 ),
    inference(superposition,[],[f214,f475]) ).

fof(f1147,plain,
    ( spl4_82
    | ~ spl4_22
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f519,f474,f292,f1145]) ).

fof(f1145,plain,
    ( spl4_82
  <=> ! [X2,X0,X1] : v1 != vplus(vplus(X0,vplus(v1,X1)),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).

fof(f519,plain,
    ( ! [X2,X0,X1] : v1 != vplus(vplus(X0,vplus(v1,X1)),X2)
    | ~ spl4_22
    | ~ spl4_43 ),
    inference(superposition,[],[f293,f475]) ).

fof(f1143,plain,
    ( ~ spl4_81
    | ~ spl4_8
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f676,f665,f221,f1140]) ).

fof(f1140,plain,
    ( spl4_81
  <=> vplus(vd353,vd355) = vd354 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).

fof(f676,plain,
    ( vplus(vd353,vd355) != vd354
    | ~ spl4_8
    | ~ spl4_47 ),
    inference(superposition,[],[f222,f667]) ).

fof(f1138,plain,
    ( spl4_80
    | ~ spl4_6
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f515,f474,f213,f1136]) ).

fof(f1136,plain,
    ( spl4_80
  <=> ! [X0,X1] : vplus(X0,X1) != vplus(X0,vplus(v1,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).

fof(f515,plain,
    ( ! [X0,X1] : vplus(X0,X1) != vplus(X0,vplus(v1,X1))
    | ~ spl4_6
    | ~ spl4_43 ),
    inference(superposition,[],[f214,f475]) ).

fof(f1134,plain,
    ( spl4_79
    | ~ spl4_9
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f487,f470,f225,f1132]) ).

fof(f487,plain,
    ( ! [X2,X0,X1] : less(vplus(X0,X1),vplus(X0,vplus(X1,X2)))
    | ~ spl4_9
    | ~ spl4_42 ),
    inference(superposition,[],[f226,f471]) ).

fof(f1130,plain,
    ( spl4_78
    | ~ spl4_8
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f486,f470,f221,f1128]) ).

fof(f486,plain,
    ( ! [X2,X0,X1] : vplus(X0,X1) != vplus(X0,vplus(X1,X2))
    | ~ spl4_8
    | ~ spl4_42 ),
    inference(superposition,[],[f222,f471]) ).

fof(f1126,plain,
    ( spl4_77
    | ~ spl4_7
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f485,f470,f217,f1124]) ).

fof(f485,plain,
    ( ! [X2,X0,X1] : greater(vplus(X0,vplus(X1,X2)),vplus(X0,X1))
    | ~ spl4_7
    | ~ spl4_42 ),
    inference(superposition,[],[f218,f471]) ).

fof(f1122,plain,
    ( spl4_76
    | ~ spl4_18
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f347,f313,f264,f1120]) ).

fof(f1120,plain,
    ( spl4_76
  <=> ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).

fof(f347,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | less(X1,X0) )
    | ~ spl4_18
    | ~ spl4_24 ),
    inference(resolution,[],[f314,f265]) ).

fof(f1118,plain,
    ( spl4_75
    | ~ spl4_20
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f346,f313,f272,f1116]) ).

fof(f346,plain,
    ( ! [X0,X1] :
        ( less(X0,X1)
        | X0 = X1
        | geq(X0,X1) )
    | ~ spl4_20
    | ~ spl4_24 ),
    inference(resolution,[],[f314,f273]) ).

fof(f1040,plain,
    ( spl4_74
    | ~ spl4_19
    | ~ spl4_48 ),
    inference(avatar_split_clause,[],[f839,f669,f268,f1037]) ).

fof(f1037,plain,
    ( spl4_74
  <=> leq(vplus(vd353,vd355),vplus(vd354,vd356)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).

fof(f839,plain,
    ( leq(vplus(vd353,vd355),vplus(vd354,vd356))
    | ~ spl4_19
    | ~ spl4_48 ),
    inference(resolution,[],[f671,f269]) ).

fof(f1035,plain,
    ( spl4_73
    | ~ spl4_22
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f364,f341,f292,f1033]) ).

fof(f364,plain,
    ( ! [X0,X1] :
        ( v1 != vplus(X0,X1)
        | v1 = X0 )
    | ~ spl4_22
    | ~ spl4_31 ),
    inference(superposition,[],[f293,f342]) ).

fof(f1031,plain,
    ( spl4_72
    | ~ spl4_9
    | ~ spl4_28 ),
    inference(avatar_split_clause,[],[f357,f329,f225,f1029]) ).

fof(f357,plain,
    ( ! [X2,X0,X1] :
        ( ~ less(X0,X1)
        | less(X0,vplus(X1,X2)) )
    | ~ spl4_9
    | ~ spl4_28 ),
    inference(resolution,[],[f330,f226]) ).

fof(f893,plain,
    ( spl4_71
    | ~ spl4_9
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f536,f474,f225,f891]) ).

fof(f536,plain,
    ( ! [X0,X1] : less(X0,vplus(v1,vplus(X0,X1)))
    | ~ spl4_9
    | ~ spl4_43 ),
    inference(superposition,[],[f226,f475]) ).

fof(f889,plain,
    ( spl4_70
    | ~ spl4_7
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f534,f474,f217,f887]) ).

fof(f534,plain,
    ( ! [X0,X1] : greater(vplus(v1,vplus(X0,X1)),X0)
    | ~ spl4_7
    | ~ spl4_43 ),
    inference(superposition,[],[f218,f475]) ).

fof(f885,plain,
    ( spl4_69
    | ~ spl4_9
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f518,f474,f225,f883]) ).

fof(f883,plain,
    ( spl4_69
  <=> ! [X0,X1] : less(v1,vplus(X0,vplus(v1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).

fof(f518,plain,
    ( ! [X0,X1] : less(v1,vplus(X0,vplus(v1,X1)))
    | ~ spl4_9
    | ~ spl4_43 ),
    inference(superposition,[],[f226,f475]) ).

fof(f881,plain,
    ( spl4_68
    | ~ spl4_7
    | ~ spl4_43 ),
    inference(avatar_split_clause,[],[f516,f474,f217,f879]) ).

fof(f879,plain,
    ( spl4_68
  <=> ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).

fof(f516,plain,
    ( ! [X0,X1] : greater(vplus(X0,vplus(v1,X1)),v1)
    | ~ spl4_7
    | ~ spl4_43 ),
    inference(superposition,[],[f218,f475]) ).

fof(f877,plain,
    ( spl4_67
    | ~ spl4_6
    | ~ spl4_42 ),
    inference(avatar_split_clause,[],[f484,f470,f213,f875]) ).

fof(f484,plain,
    ( ! [X2,X0,X1] : vplus(X0,vplus(X1,X2)) != X2
    | ~ spl4_6
    | ~ spl4_42 ),
    inference(superposition,[],[f214,f471]) ).

fof(f873,plain,
    ( spl4_65
    | spl4_66
    | spl4_10
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f864,f313,f229,f870,f866]) ).

fof(f864,plain,
    ( less(vd355,vd356)
    | vd355 = vd356
    | spl4_10
    | ~ spl4_24 ),
    inference(resolution,[],[f230,f314]) ).

fof(f230,plain,
    ( ~ greater(vd355,vd356)
    | spl4_10 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f863,plain,
    ( spl4_64
    | ~ spl4_10
    | ~ spl4_35 ),
    inference(avatar_split_clause,[],[f414,f374,f229,f860]) ).

fof(f414,plain,
    ( vd355 = vplus(vd356,sK3(vd356,vd355))
    | ~ spl4_10
    | ~ spl4_35 ),
    inference(resolution,[],[f375,f231]) ).

fof(f231,plain,
    ( greater(vd355,vd356)
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f858,plain,
    ( spl4_63
    | ~ spl4_6
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f360,f341,f213,f856]) ).

fof(f856,plain,
    ( spl4_63
  <=> ! [X0] :
        ( vskolem2(X0) != X0
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).

fof(f360,plain,
    ( ! [X0] :
        ( vskolem2(X0) != X0
        | v1 = X0 )
    | ~ spl4_6
    | ~ spl4_31 ),
    inference(superposition,[],[f214,f342]) ).

fof(f854,plain,
    ( spl4_62
    | ~ spl4_21
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f305,f292,f288,f852]) ).

fof(f305,plain,
    ( ! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) != X0
    | ~ spl4_21
    | ~ spl4_22 ),
    inference(superposition,[],[f293,f289]) ).

fof(f850,plain,
    ( spl4_61
    | ~ spl4_21
    | ~ spl4_22 ),
    inference(avatar_split_clause,[],[f303,f292,f288,f848]) ).

fof(f303,plain,
    ( ! [X2,X0,X1] : vplus(vplus(X1,X0),X2) != X0
    | ~ spl4_21
    | ~ spl4_22 ),
    inference(superposition,[],[f293,f289]) ).

fof(f836,plain,
    ( spl4_60
    | ~ spl4_48
    | ~ spl4_57 ),
    inference(avatar_split_clause,[],[f830,f797,f669,f833]) ).

fof(f830,plain,
    ( less(vplus(vd353,vd355),vplus(vd353,vd356))
    | ~ spl4_48
    | ~ spl4_57 ),
    inference(forward_demodulation,[],[f671,f799]) ).

fof(f828,plain,
    ( spl4_59
    | ~ spl4_7
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f675,f665,f217,f825]) ).

fof(f675,plain,
    ( greater(vplus(vd353,vd355),vd354)
    | ~ spl4_7
    | ~ spl4_47 ),
    inference(superposition,[],[f218,f667]) ).

fof(f804,plain,
    ( spl4_57
    | spl4_58
    | spl4_12
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f386,f313,f238,f801,f797]) ).

fof(f386,plain,
    ( less(vd353,vd354)
    | vd353 = vd354
    | spl4_12
    | ~ spl4_24 ),
    inference(resolution,[],[f239,f314]) ).

fof(f239,plain,
    ( ~ greater(vd353,vd354)
    | spl4_12 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f795,plain,
    ( spl4_56
    | ~ spl4_9
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f363,f341,f225,f793]) ).

fof(f793,plain,
    ( spl4_56
  <=> ! [X0] :
        ( less(v1,X0)
        | v1 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).

fof(f363,plain,
    ( ! [X0] :
        ( less(v1,X0)
        | v1 = X0 )
    | ~ spl4_9
    | ~ spl4_31 ),
    inference(superposition,[],[f226,f342]) ).

fof(f791,plain,
    ( spl4_55
    | ~ spl4_7
    | ~ spl4_31 ),
    inference(avatar_split_clause,[],[f361,f341,f217,f789]) ).

fof(f361,plain,
    ( ! [X0] :
        ( greater(X0,v1)
        | v1 = X0 )
    | ~ spl4_7
    | ~ spl4_31 ),
    inference(superposition,[],[f218,f342]) ).

fof(f750,plain,
    ( ~ spl4_54
    | ~ spl4_6
    | ~ spl4_47 ),
    inference(avatar_split_clause,[],[f674,f665,f213,f747]) ).

fof(f747,plain,
    ( spl4_54
  <=> vplus(vd353,vd355) = vd356 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).

fof(f674,plain,
    ( vplus(vd353,vd355) != vd356
    | ~ spl4_6
    | ~ spl4_47 ),
    inference(superposition,[],[f214,f667]) ).

fof(f719,plain,
    ( spl4_53
    | ~ spl4_7
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f297,f288,f217,f717]) ).

fof(f297,plain,
    ( ! [X0,X1] : greater(vplus(X1,X0),X0)
    | ~ spl4_7
    | ~ spl4_21 ),
    inference(superposition,[],[f218,f289]) ).

fof(f715,plain,
    ( spl4_52
    | ~ spl4_9
    | ~ spl4_21 ),
    inference(avatar_split_clause,[],[f295,f288,f225,f713]) ).

fof(f295,plain,
    ( ! [X0,X1] : less(X0,vplus(X1,X0))
    | ~ spl4_9
    | ~ spl4_21 ),
    inference(superposition,[],[f226,f289]) ).

fof(f711,plain,
    ( spl4_51
    | ~ spl4_7
    | ~ spl4_20 ),
    inference(avatar_split_clause,[],[f284,f272,f217,f709]) ).

fof(f284,plain,
    ( ! [X0,X1] : geq(vplus(X0,X1),X0)
    | ~ spl4_7
    | ~ spl4_20 ),
    inference(resolution,[],[f273,f218]) ).

fof(f707,plain,
    ( spl4_50
    | ~ spl4_9
    | ~ spl4_19 ),
    inference(avatar_split_clause,[],[f283,f268,f225,f705]) ).

fof(f283,plain,
    ( ! [X0,X1] : leq(X0,vplus(X0,X1))
    | ~ spl4_9
    | ~ spl4_19 ),
    inference(resolution,[],[f269,f226]) ).

fof(f703,plain,
    ( spl4_49
    | ~ spl4_9
    | ~ spl4_14 ),
    inference(avatar_split_clause,[],[f275,f248,f225,f701]) ).

fof(f275,plain,
    ( ! [X0,X1] : ~ greater(X0,vplus(X0,X1))
    | ~ spl4_9
    | ~ spl4_14 ),
    inference(resolution,[],[f249,f226]) ).

fof(f672,plain,
    ( spl4_47
    | spl4_48
    | spl4_1
    | ~ spl4_24 ),
    inference(avatar_split_clause,[],[f344,f313,f192,f669,f665]) ).

fof(f344,plain,
    ( less(vplus(vd353,vd355),vplus(vd354,vd356))
    | vplus(vd353,vd355) = vplus(vd354,vd356)
    | spl4_1
    | ~ spl4_24 ),
    inference(resolution,[],[f314,f194]) ).

fof(f650,plain,
    ( ~ spl4_10
    | ~ spl4_12
    | spl4_1
    | ~ spl4_44 ),
    inference(avatar_split_clause,[],[f564,f561,f192,f238,f229]) ).

fof(f564,plain,
    ( ~ greater(vd353,vd354)
    | ~ greater(vd355,vd356)
    | spl4_1
    | ~ spl4_44 ),
    inference(resolution,[],[f562,f194]) ).

fof(f646,plain,
    ( spl4_46
    | ~ spl4_13
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f388,f256,f243,f643]) ).

fof(f256,plain,
    ( spl4_16
  <=> ! [X0,X1] :
        ( leq(X1,X0)
        | ~ geq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f388,plain,
    ( leq(vd354,vd353)
    | ~ spl4_13
    | ~ spl4_16 ),
    inference(resolution,[],[f245,f257]) ).

fof(f257,plain,
    ( ! [X0,X1] :
        ( ~ geq(X0,X1)
        | leq(X1,X0) )
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f591,plain,
    spl4_45,
    inference(avatar_split_clause,[],[f142,f589]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( vplus(X0,sK0(X0,X1)) = X1
      | vplus(X1,sK1(X0,X1)) = X0
      | X0 = X1 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( vplus(X0,sK0(X0,X1)) = X1
      | vplus(X1,sK1(X0,X1)) = X0
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f59,f107,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X0,X2) = X1
     => vplus(X0,sK0(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X1,X3) = X0
     => vplus(X1,sK1(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ? [X2] : vplus(X0,X2) = X1
      | ? [X3] : vplus(X1,X3) = X0
      | X0 = X1 ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X41,X42] :
      ( ? [X44] : vplus(X41,X44) = X42
      | ? [X43] : vplus(X42,X43) = X41
      | X41 = X42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).

fof(f563,plain,
    spl4_44,
    inference(avatar_split_clause,[],[f172,f561]) ).

fof(f172,plain,
    ! [X2,X3,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( greater(vplus(X0,X2),vplus(X1,X3))
      | ~ greater(X0,X1)
      | ~ greater(X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( ( greater(X0,X1)
        & greater(X2,X3) )
     => greater(vplus(X0,X2),vplus(X1,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).

fof(f476,plain,
    spl4_43,
    inference(avatar_split_clause,[],[f178,f474]) ).

fof(f178,plain,
    ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f134,f128,f128]) ).

fof(f128,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X54] : vplus(v1,X54) = vsucc(X54),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof(f134,plain,
    ! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( vsucc(X0) = vplus(X0,v1)
      & vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X58,X59] :
      ( vplus(X58,v1) = vsucc(X58)
      & vplus(X58,vsucc(X59)) = vsucc(vplus(X58,X59)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

fof(f472,plain,
    spl4_42,
    inference(avatar_split_clause,[],[f161,f470]) ).

fof(f404,plain,
    spl4_41,
    inference(avatar_split_clause,[],[f167,f402]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( greater(X0,X1)
      | ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X1)
      | ~ greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
     => greater(X0,X1) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X4,X5,X6] :
      ( greater(vplus(X4,X6),vplus(X5,X6))
     => greater(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).

fof(f400,plain,
    spl4_40,
    inference(avatar_split_clause,[],[f166,f398]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( less(X0,X1)
      | ~ less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( less(X0,X1)
      | ~ less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( less(vplus(X0,X2),vplus(X1,X2))
     => less(X0,X1) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X4,X5,X6] :
      ( less(vplus(X4,X6),vplus(X5,X6))
     => less(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).

fof(f396,plain,
    spl4_39,
    inference(avatar_split_clause,[],[f165,f394]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( X0 = X1
      | vplus(X0,X2) != vplus(X1,X2) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( X0 = X1
      | vplus(X0,X2) != vplus(X1,X2) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( vplus(X0,X2) = vplus(X1,X2)
     => X0 = X1 ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X4,X5,X6] :
      ( vplus(X4,X6) = vplus(X5,X6)
     => X4 = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).

fof(f392,plain,
    spl4_38,
    inference(avatar_split_clause,[],[f164,f390]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( greater(vplus(X0,X2),vplus(X1,X2))
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( greater(X0,X1)
     => greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X7,X8,X9] :
      ( greater(X7,X8)
     => greater(vplus(X7,X9),vplus(X8,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).

fof(f385,plain,
    ( spl4_37
    | ~ spl4_12
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f282,f264,f238,f382]) ).

fof(f282,plain,
    ( less(vd354,vd353)
    | ~ spl4_12
    | ~ spl4_18 ),
    inference(resolution,[],[f265,f240]) ).

fof(f380,plain,
    spl4_36,
    inference(avatar_split_clause,[],[f163,f378]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( less(vplus(X0,X2),vplus(X1,X2))
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( less(vplus(X0,X2),vplus(X1,X2))
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( less(X0,X1)
     => less(vplus(X0,X2),vplus(X1,X2)) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X7,X8,X9] :
      ( less(X7,X8)
     => less(vplus(X7,X9),vplus(X8,X9)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).

fof(f376,plain,
    spl4_35,
    inference(avatar_split_clause,[],[f159,f374]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( vplus(X0,sK3(X0,X1)) = X1
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( vplus(X0,sK3(X0,X1)) = X1
        | ~ greater(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f118,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X0,X3) = X1
     => vplus(X0,sK3(X0,X1)) = X1 ),
    introduced(choice_axiom,[]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X3] : vplus(X0,X3) = X1
        | ~ greater(X1,X0) ) ),
    inference(rectify,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( greater(X1,X0)
        | ! [X2] : vplus(X0,X2) != X1 )
      & ( ? [X2] : vplus(X0,X2) = X1
        | ~ greater(X1,X0) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
    <=> ? [X2] : vplus(X0,X2) = X1 ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X38,X39] :
      ( greater(X39,X38)
    <=> ? [X40] : vplus(X38,X40) = X39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).

fof(f372,plain,
    spl4_34,
    inference(avatar_split_clause,[],[f157,f370]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( vplus(X1,sK2(X0,X1)) = X0
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( vplus(X1,sK2(X0,X1)) = X0
        | ~ less(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f114,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ? [X3] : vplus(X1,X3) = X0
     => vplus(X1,sK2(X0,X1)) = X0 ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( ? [X3] : vplus(X1,X3) = X0
        | ~ less(X1,X0) ) ),
    inference(rectify,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( less(X1,X0)
        | ! [X2] : vplus(X1,X2) != X0 )
      & ( ? [X2] : vplus(X1,X2) = X0
        | ~ less(X1,X0) ) ),
    inference(nnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( less(X1,X0)
    <=> ? [X2] : vplus(X1,X2) = X0 ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X35,X36] :
      ( less(X36,X35)
    <=> ? [X37] : vplus(X36,X37) = X35 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).

fof(f368,plain,
    spl4_33,
    inference(avatar_split_clause,[],[f145,f366]) ).

fof(f145,plain,
    ! [X2,X0,X1] :
      ( vplus(X2,X0) != vplus(X2,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X2,X0) != vplus(X2,X1)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( X0 != X1
     => ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X45,X46] :
      ( X45 != X46
     => ! [X47] : vplus(X47,X45) != vplus(X47,X46) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).

fof(f353,plain,
    ( spl4_32
    | ~ spl4_10
    | ~ spl4_18 ),
    inference(avatar_split_clause,[],[f281,f264,f229,f350]) ).

fof(f281,plain,
    ( less(vd356,vd355)
    | ~ spl4_10
    | ~ spl4_18 ),
    inference(resolution,[],[f265,f231]) ).

fof(f343,plain,
    spl4_31,
    inference(avatar_split_clause,[],[f175,f341]) ).

fof(f175,plain,
    ! [X0] :
      ( vplus(v1,vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(definition_unfolding,[],[f129,f128]) ).

fof(f129,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( v1 != X0
     => vsucc(vskolem2(X0)) = X0 ),
    inference(rectify,[],[f38]) ).

fof(f38,axiom,
    ! [X60] :
      ( v1 != X60
     => vsucc(vskolem2(X60)) = X60 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).

fof(f339,plain,
    spl4_30,
    inference(avatar_split_clause,[],[f171,f337]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ leq(X1,X2) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ( ( ~ less(X0,X1)
          | ~ leq(X1,X2) )
        & ( ~ leq(X0,X1)
          | ~ less(X1,X2) ) ) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ( ( less(X0,X1)
          & leq(X1,X2) )
        | ( leq(X0,X1)
          & less(X1,X2) ) )
     => less(X0,X2) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X15,X16,X17] :
      ( ( ( less(X15,X16)
          & leq(X16,X17) )
        | ( leq(X15,X16)
          & less(X16,X17) ) )
     => less(X15,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).

fof(f335,plain,
    spl4_29,
    inference(avatar_split_clause,[],[f170,f333]) ).

fof(f170,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ leq(X0,X1)
      | ~ less(X1,X2) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f331,plain,
    spl4_28,
    inference(avatar_split_clause,[],[f169,f329]) ).

fof(f169,plain,
    ! [X2,X0,X1] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( less(X0,X2)
      | ~ less(X0,X1)
      | ~ less(X1,X2) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ( less(X0,X1)
        & less(X1,X2) )
     => less(X0,X2) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X18,X19,X20] :
      ( ( less(X18,X19)
        & less(X19,X20) )
     => less(X18,X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).

fof(f327,plain,
    spl4_27,
    inference(avatar_split_clause,[],[f168,f325]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ( leq(X0,X1)
        & leq(X1,X2) )
     => leq(X0,X2) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X12,X13,X14] :
      ( ( leq(X12,X13)
        & leq(X13,X14) )
     => leq(X12,X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).

fof(f323,plain,
    spl4_26,
    inference(avatar_split_clause,[],[f154,f321]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( X0 = X1
      | greater(X1,X0)
      | ~ geq(X1,X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( geq(X1,X0)
        | ( X0 != X1
          & ~ greater(X1,X0) ) )
      & ( X0 = X1
        | greater(X1,X0)
        | ~ geq(X1,X0) ) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( geq(X1,X0)
        | ( X0 != X1
          & ~ greater(X1,X0) ) )
      & ( X0 = X1
        | greater(X1,X0)
        | ~ geq(X1,X0) ) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
    <=> ( X0 = X1
        | greater(X1,X0) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X27,X28] :
      ( geq(X28,X27)
    <=> ( X27 = X28
        | greater(X28,X27) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).

fof(f319,plain,
    spl4_25,
    inference(avatar_split_clause,[],[f151,f317]) ).

fof(f317,plain,
    ( spl4_25
  <=> ! [X0,X1] :
        ( X0 = X1
        | less(X1,X0)
        | ~ leq(X1,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X1,X0)
      | ~ leq(X1,X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        | ( X0 != X1
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | ~ leq(X1,X0) ) ),
    inference(flattening,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        | ( X0 != X1
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | ~ leq(X1,X0) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
    <=> ( X0 = X1
        | less(X1,X0) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X25,X26] :
      ( leq(X26,X25)
    <=> ( X25 = X26
        | less(X26,X25) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).

fof(f315,plain,
    spl4_24,
    inference(avatar_split_clause,[],[f141,f313]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X33,X34] :
      ( less(X33,X34)
      | greater(X33,X34)
      | X33 = X34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).

fof(f311,plain,
    ( spl4_23
    | ~ spl4_11
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f278,f256,f233,f308]) ).

fof(f278,plain,
    ( leq(vd356,vd355)
    | ~ spl4_11
    | ~ spl4_16 ),
    inference(resolution,[],[f257,f235]) ).

fof(f294,plain,
    spl4_22,
    inference(avatar_split_clause,[],[f185,f292]) ).

fof(f185,plain,
    ! [X2,X3,X0] : vplus(vplus(X0,X2),X3) != X0,
    inference(equality_resolution,[],[f143]) ).

fof(f143,plain,
    ! [X2,X3,X0,X1] :
      ( vplus(X0,X2) != X1
      | vplus(X1,X3) != X0 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X0,X2) != X1
      | ! [X3] : vplus(X1,X3) != X0 ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ ? [X2] : vplus(X0,X2) = X1
      | ~ ? [X3] : vplus(X1,X3) = X0 ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X41,X42] :
      ( ~ ? [X44] : vplus(X41,X44) = X42
      | ~ ? [X43] : vplus(X42,X43) = X41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).

fof(f290,plain,
    spl4_21,
    inference(avatar_split_clause,[],[f132,f288]) ).

fof(f132,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X50,X51] : vplus(X51,X50) = vplus(X50,X51),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof(f274,plain,
    spl4_20,
    inference(avatar_split_clause,[],[f155,f272]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ greater(X1,X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f270,plain,
    spl4_19,
    inference(avatar_split_clause,[],[f152,f268]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f266,plain,
    spl4_18,
    inference(avatar_split_clause,[],[f149,f264]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( less(X1,X0)
      | ~ greater(X0,X1) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
     => less(X1,X0) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X31,X32] :
      ( greater(X31,X32)
     => less(X32,X31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).

fof(f262,plain,
    spl4_17,
    inference(avatar_split_clause,[],[f148,f260]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ less(X0,X1) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( less(X0,X1)
     => greater(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X29,X30] :
      ( less(X29,X30)
     => greater(X30,X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).

fof(f258,plain,
    spl4_16,
    inference(avatar_split_clause,[],[f147,f256]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ geq(X0,X1) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ geq(X0,X1) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( geq(X0,X1)
     => leq(X1,X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X23,X24] :
      ( geq(X23,X24)
     => leq(X24,X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).

fof(f254,plain,
    spl4_15,
    inference(avatar_split_clause,[],[f146,f252]) ).

fof(f252,plain,
    ( spl4_15
  <=> ! [X0,X1] :
        ( geq(X1,X0)
        | ~ leq(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
     => geq(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X21,X22] :
      ( leq(X21,X22)
     => geq(X22,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).

fof(f250,plain,
    spl4_14,
    inference(avatar_split_clause,[],[f140,f248]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | ~ greater(X0,X1) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X33,X34] :
      ( ~ less(X33,X34)
      | ~ greater(X33,X34) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).

fof(f246,plain,
    ( spl4_13
    | spl4_12 ),
    inference(avatar_split_clause,[],[f125,f238,f243]) ).

fof(f125,plain,
    ( greater(vd353,vd354)
    | geq(vd353,vd354) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( ( greater(vd353,vd354)
      & geq(vd355,vd356) )
    | ( geq(vd353,vd354)
      & greater(vd355,vd356) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(218))') ).

fof(f241,plain,
    ( spl4_10
    | spl4_12 ),
    inference(avatar_split_clause,[],[f124,f238,f229]) ).

fof(f124,plain,
    ( greater(vd353,vd354)
    | greater(vd355,vd356) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f236,plain,
    ( spl4_10
    | spl4_11 ),
    inference(avatar_split_clause,[],[f122,f233,f229]) ).

fof(f122,plain,
    ( geq(vd355,vd356)
    | greater(vd355,vd356) ),
    inference(cnf_transformation,[],[f3]) ).

fof(f227,plain,
    spl4_9,
    inference(avatar_split_clause,[],[f188,f225]) ).

fof(f188,plain,
    ! [X2,X1] : less(X1,vplus(X1,X2)),
    inference(equality_resolution,[],[f158]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( less(X1,X0)
      | vplus(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f223,plain,
    spl4_8,
    inference(avatar_split_clause,[],[f183,f221]) ).

fof(f183,plain,
    ! [X2,X1] : vplus(X1,X2) != X1,
    inference(equality_resolution,[],[f138]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( vplus(X1,X2) != X0
      | X0 != X1 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ! [X2] : vplus(X1,X2) != X0
      | X0 != X1 ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ ? [X2] : vplus(X1,X2) = X0
      | X0 != X1 ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X41,X42] :
      ( ~ ? [X43] : vplus(X42,X43) = X41
      | X41 != X42 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).

fof(f219,plain,
    spl4_7,
    inference(avatar_split_clause,[],[f131,f217]) ).

fof(f131,plain,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X10,X11] : greater(vplus(X10,X11),X10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).

fof(f215,plain,
    spl4_6,
    inference(avatar_split_clause,[],[f130,f213]) ).

fof(f130,plain,
    ! [X0,X1] : vplus(X0,X1) != X1,
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] : vplus(X0,X1) != X1,
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X48,X49] : vplus(X48,X49) != X49,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).

fof(f211,plain,
    spl4_5,
    inference(avatar_split_clause,[],[f187,f209]) ).

fof(f187,plain,
    ! [X1] : geq(X1,X1),
    inference(equality_resolution,[],[f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( geq(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f207,plain,
    spl4_4,
    inference(avatar_split_clause,[],[f186,f205]) ).

fof(f205,plain,
    ( spl4_4
  <=> ! [X1] : leq(X1,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f186,plain,
    ! [X1] : leq(X1,X1),
    inference(equality_resolution,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f203,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f182,f201]) ).

fof(f182,plain,
    ! [X1] : ~ greater(X1,X1),
    inference(equality_resolution,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X33,X34] :
      ( ~ greater(X33,X34)
      | X33 != X34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).

fof(f199,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f181,f197]) ).

fof(f181,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X0 != X1 ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X33,X34] :
      ( ~ less(X33,X34)
      | X33 != X34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).

fof(f195,plain,
    ~ spl4_1,
    inference(avatar_split_clause,[],[f121,f192]) ).

fof(f121,plain,
    ~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vplus(vd353,vd355),vplus(vd354,vd356)),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vplus(vd353,vd355),vplus(vd354,vd356)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(218), 361, 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM842+2 : TPTP v8.2.0. Released v4.1.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 07:13:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (15960)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (15963)WARNING: value z3 for option sas not known
% 0.13/0.37  % (15965)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)
% 0.13/0.37  % (15966)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)
% 0.13/0.37  % (15961)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (15962)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (15964)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (15963)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)
% 0.13/0.37  % (15967)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)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [3]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [2]
% 0.13/0.38  TRYING [4]
% 0.13/0.39  TRYING [3]
% 0.13/0.40  TRYING [5]
% 0.20/0.45  TRYING [6]
% 0.20/0.46  TRYING [4]
% 0.20/0.52  TRYING [7]
% 0.20/0.55  TRYING [5]
% 2.16/0.66  TRYING [8]
% 3.09/0.79  TRYING [6]
% 4.08/0.94  TRYING [9]
% 5.20/1.16  TRYING [7]
% 7.85/1.47  TRYING [1]
% 7.85/1.47  TRYING [2]
% 7.85/1.47  TRYING [3]
% 7.85/1.47  TRYING [4]
% 8.06/1.49  TRYING [5]
% 8.06/1.50  TRYING [10]
% 8.06/1.52  TRYING [6]
% 8.45/1.60  TRYING [7]
% 9.43/1.74  TRYING [8]
% 11.64/2.02  TRYING [9]
% 12.16/2.08  TRYING [8]
% 13.83/2.32  % (15965)First to succeed.
% 13.83/2.34  % (15966)Also succeeded, but the first one will report.
% 13.83/2.34  % (15965)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15960"
% 13.83/2.34  % (15965)Refutation found. Thanks to Tanya!
% 13.83/2.34  % SZS status Theorem for theBenchmark
% 13.83/2.34  % SZS output start Proof for theBenchmark
% See solution above
% 13.83/2.36  % (15965)------------------------------
% 13.83/2.36  % (15965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 13.83/2.36  % (15965)Termination reason: Refutation
% 13.83/2.36  
% 13.83/2.36  % (15965)Memory used [KB]: 15244
% 13.83/2.36  % (15965)Time elapsed: 1.975 s
% 13.83/2.36  % (15965)Instructions burned: 6212 (million)
% 13.83/2.36  % (15960)Success in time 1.997 s
%------------------------------------------------------------------------------