TSTP Solution File: SWV492+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV492+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 06:26:11 EDT 2024
% Result : Theorem 22.55s 3.53s
% Output : Refutation 22.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 837
% Syntax : Number of formulae : 3125 ( 29 unt; 0 def)
% Number of atoms : 12758 (1091 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 17960 (8327 ~;8687 |; 98 &)
% ( 823 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 825 ( 823 usr; 822 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 2904 (2880 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28777,plain,
$false,
inference(avatar_sat_refutation,[],[f82,f87,f92,f97,f101,f105,f110,f115,f120,f126,f132,f137,f139,f144,f148,f153,f157,f161,f165,f169,f181,f189,f193,f198,f211,f215,f228,f237,f251,f259,f275,f284,f292,f293,f295,f308,f309,f322,f328,f338,f352,f357,f369,f379,f396,f406,f414,f423,f429,f434,f439,f449,f460,f467,f476,f481,f493,f500,f504,f524,f530,f535,f549,f553,f557,f561,f570,f594,f615,f619,f623,f627,f648,f670,f696,f700,f734,f753,f757,f777,f779,f786,f789,f799,f804,f808,f812,f816,f842,f847,f852,f857,f862,f935,f941,f962,f967,f972,f987,f1015,f1020,f1025,f1030,f1051,f1056,f1061,f1069,f1082,f1091,f1114,f1118,f1122,f1126,f1131,f1162,f1167,f1172,f1203,f1235,f1239,f1257,f1261,f1265,f1270,f1283,f1287,f1363,f1367,f1372,f1376,f1380,f1384,f1388,f1393,f1399,f1404,f1409,f1519,f1542,f1547,f1551,f1596,f1600,f1604,f1608,f1612,f1616,f1620,f1631,f1639,f1646,f1654,f1659,f1663,f1667,f1671,f1675,f1868,f1912,f1922,f1926,f1954,f1959,f1967,f2005,f2016,f2153,f2157,f2161,f2244,f2248,f2252,f2256,f2260,f2264,f2268,f2272,f2276,f2280,f2296,f2475,f2479,f2485,f2489,f2605,f2643,f2647,f2656,f2660,f2664,f2668,f2672,f2885,f2983,f2987,f2991,f3106,f3110,f3115,f3194,f3198,f3286,f3290,f3294,f3457,f3492,f3551,f3633,f3715,f3720,f3742,f3746,f3747,f3765,f3771,f3777,f3781,f3826,f3832,f3896,f4071,f4122,f4161,f4165,f4170,f4175,f4181,f4186,f4191,f4197,f4203,f4208,f4212,f4223,f4230,f4235,f4250,f4259,f4261,f4301,f4313,f4319,f4324,f4329,f4335,f4340,f4457,f4528,f4662,f4674,f4678,f4705,f4726,f4815,f4817,f4822,f4848,f4850,f4857,f4862,f4984,f5359,f5369,f5387,f5395,f5398,f5632,f5774,f5775,f5828,f5833,f5839,f5844,f5847,f5887,f5909,f6029,f6050,f6140,f6160,f6225,f6259,f6262,f6300,f6321,f6333,f6362,f6372,f6373,f6384,f6388,f6392,f6396,f6414,f6424,f6479,f6554,f6566,f6571,f6590,f6600,f6625,f6654,f6663,f6674,f6737,f6864,f6868,f6872,f6881,f6900,f6920,f6924,f6928,f7042,f7051,f7056,f7061,f7066,f7071,f7094,f7118,f7123,f7128,f7129,f7146,f7163,f7171,f7203,f7355,f7359,f7493,f7506,f7524,f7533,f7542,f7546,f7620,f7630,f7634,f7643,f7647,f7719,f7763,f7803,f7811,f7830,f7840,f7887,f7895,f7898,f7910,f7915,f7935,f7991,f8033,f8084,f8097,f8102,f8106,f8191,f8227,f8231,f8315,f8410,f8432,f8464,f8483,f8487,f8488,f8564,f8568,f8636,f8639,f8686,f8755,f8758,f8778,f8800,f8824,f8828,f8843,f8868,f8910,f8914,f8974,f9021,f9025,f9098,f9141,f9149,f9155,f9159,f9232,f9271,f9275,f9307,f9313,f9316,f9354,f9367,f9397,f9410,f9411,f9412,f9429,f9478,f9485,f9490,f9496,f9502,f9508,f9514,f9520,f9526,f9532,f9538,f9542,f9543,f9548,f9552,f9556,f9560,f9564,f9568,f9572,f9576,f9580,f9584,f9589,f9594,f9598,f9769,f9885,f9889,f9894,f9911,f9915,f9919,f9923,f9927,f9939,f9943,f9955,f9991,f10245,f10249,f10253,f10257,f10262,f10268,f10272,f10276,f10280,f10284,f10288,f10292,f10296,f10300,f10309,f10316,f10322,f10359,f10363,f10378,f10379,f10403,f10409,f10414,f10419,f10423,f10456,f10460,f10521,f10856,f10861,f10867,f10871,f10877,f10881,f10885,f10889,f10893,f10897,f10901,f10902,f10914,f10918,f10922,f10926,f10930,f10934,f10938,f10942,f10946,f10977,f10981,f10985,f11345,f11681,f11770,f11774,f11778,f11782,f11786,f11790,f11794,f11835,f11839,f11843,f11847,f11851,f11855,f11963,f12225,f12232,f12236,f12242,f12248,f12254,f12260,f12266,f12270,f12274,f12278,f12282,f12287,f12291,f12295,f12516,f12521,f12626,f12630,f12634,f12638,f12642,f12646,f12650,f12654,f12667,f12745,f12750,f12802,f12807,f12808,f12823,f12852,f12871,f12993,f12999,f13003,f13122,f13126,f13131,f13135,f13139,f13143,f13332,f13336,f13342,f13350,f13366,f13368,f13374,f13376,f13403,f13439,f13443,f13447,f13451,f13456,f13460,f13464,f13465,f13466,f13722,f13728,f13732,f14042,f14046,f14052,f14056,f14381,f14386,f14399,f14405,f14511,f14515,f14535,f14540,f14546,f14550,f14589,f14615,f14619,f14623,f14627,f14631,f14635,f14639,f14648,f14892,f14917,f14921,f14929,f14934,f14939,f14944,f14945,f14968,f14987,f14992,f15056,f15065,f15070,f15072,f15073,f15119,f15179,f15246,f15708,f15807,f15808,f15825,f15827,f16102,f16127,f16155,f16398,f16417,f16468,f16615,f16633,f16650,f16666,f16670,f16791,f16857,f16861,f16862,f16973,f16995,f16996,f17009,f17050,f17051,f17085,f17171,f17178,f17205,f17262,f17263,f17288,f17293,f17394,f17443,f17448,f17526,f17530,f17535,f17594,f17598,f17675,f17679,f17684,f17774,f17802,f17807,f17879,f17881,f17890,f17913,f17918,f17988,f17993,f18034,f18040,f18046,f18170,f18175,f18231,f18263,f18266,f18390,f18537,f18696,f18700,f18778,f18840,f18844,f18922,f18951,f18983,f19118,f19119,f19146,f19150,f19159,f19200,f19205,f19230,f19269,f19270,f19291,f19316,f19358,f19438,f19460,f19466,f19560,f19564,f19569,f19573,f19770,f19898,f19977,f20011,f20015,f20016,f20082,f20094,f20099,f20119,f20122,f20141,f20150,f20275,f20279,f20315,f20337,f20532,f20604,f20609,f20614,f20619,f20623,f20627,f20631,f20635,f20636,f20740,f20744,f20748,f20861,f20991,f20996,f21002,f21008,f21049,f21066,f21070,f21074,f21258,f21511,f21512,f21580,f21642,f21647,f21958,f21984,f22198,f22200,f22212,f22217,f22222,f22227,f22232,f22237,f22238,f22272,f22273,f22305,f22309,f22314,f22318,f22557,f22561,f22565,f22569,f22573,f22577,f22581,f22585,f22590,f22612,f22617,f22622,f22627,f23124,f23151,f23155,f23159,f23161,f23187,f23191,f23196,f23200,f23204,f23208,f23212,f23216,f23271,f23276,f23281,f23315,f23319,f23545,f23589,f23594,f23639,f23643,f23647,f23648,f23693,f23697,f23883,f23936,f23974,f24031,f24037,f24042,f24046,f24050,f24153,f24263,f24267,f24271,f24275,f24279,f24286,f24375,f24380,f24591,f24840,f24844,f24856,f24885,f24910,f24916,f24941,f24949,f24957,f25145,f25149,f25153,f25183,f25187,f25191,f25750,f26003,f26007,f26011,f26015,f26019,f26480,f26484,f26488,f26492,f26690,f26828,f26832,f26836,f26840,f27079,f27090,f27094,f27098,f27102,f27106,f27152,f27156,f27160,f27164,f27168,f27172,f27176,f27180,f27184,f27188,f27204,f27208,f27212,f27568,f27626,f28204,f28208,f28212,f28216,f28411,f28419,f28424,f28477,f28483,f28486,f28493,f28537,f28541,f28545,f28549,f28557,f28774,f28776]) ).
fof(f28776,plain,
( ~ spl6_315
| spl6_16
| ~ spl6_8
| ~ spl6_64
| ~ spl6_608 ),
inference(avatar_split_clause,[],[f18252,f18229,f532,f107,f150,f7627]) ).
fof(f7627,plain,
( spl6_315
<=> int_leq(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_315])]) ).
fof(f150,plain,
( spl6_16
<=> real_zero = a(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f107,plain,
( spl6_8
<=> int_leq(int_one,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f532,plain,
( spl6_64
<=> sK2 = plus(sK1,sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_64])]) ).
fof(f18229,plain,
( spl6_608
<=> ! [X0] :
( ~ int_leq(X0,sK1)
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_608])]) ).
fof(f18252,plain,
( real_zero = a(sK1,sK2)
| ~ int_leq(sK1,sK1)
| ~ spl6_8
| ~ spl6_64
| ~ spl6_608 ),
inference(forward_demodulation,[],[f18234,f534]) ).
fof(f534,plain,
( sK2 = plus(sK1,sK5(sK1,sK2))
| ~ spl6_64 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f18234,plain,
( real_zero = a(sK1,plus(sK1,sK5(sK1,sK2)))
| ~ int_leq(sK1,sK1)
| ~ spl6_8
| ~ spl6_608 ),
inference(resolution,[],[f18230,f109]) ).
fof(f109,plain,
( int_leq(int_one,sK1)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f18230,plain,
( ! [X0] :
( ~ int_leq(int_one,X0)
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(X0,sK1) )
| ~ spl6_608 ),
inference(avatar_component_clause,[],[f18229]) ).
fof(f28774,plain,
( ~ spl6_622
| ~ spl6_22
| spl6_819 ),
inference(avatar_split_clause,[],[f28558,f28551,f187,f19202]) ).
fof(f19202,plain,
( spl6_622
<=> int_less(sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_622])]) ).
fof(f187,plain,
( spl6_22
<=> ! [X0,X1] :
( int_less(int_zero,sK5(X0,X1))
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_22])]) ).
fof(f28551,plain,
( spl6_819
<=> int_less(int_zero,sK5(sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_819])]) ).
fof(f28558,plain,
( ~ int_less(sK2,sK4)
| ~ spl6_22
| spl6_819 ),
inference(resolution,[],[f28553,f188]) ).
fof(f188,plain,
( ! [X0,X1] :
( int_less(int_zero,sK5(X0,X1))
| ~ int_less(X0,X1) )
| ~ spl6_22 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f28553,plain,
( ~ int_less(int_zero,sK5(sK2,sK4))
| spl6_819 ),
inference(avatar_component_clause,[],[f28551]) ).
fof(f28557,plain,
( ~ spl6_325
| ~ spl6_51
| ~ spl6_583
| ~ spl6_673
| ~ spl6_819
| spl6_820
| ~ spl6_32
| ~ spl6_113
| ~ spl6_332 ),
inference(avatar_split_clause,[],[f23681,f8100,f1169,f268,f28555,f28551,f21577,f17285,f436,f7892]) ).
fof(f7892,plain,
( spl6_325
<=> int_leq(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_325])]) ).
fof(f436,plain,
( spl6_51
<=> int_leq(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_51])]) ).
fof(f17285,plain,
( spl6_583
<=> int_leq(sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_583])]) ).
fof(f21577,plain,
( spl6_673
<=> int_leq(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_673])]) ).
fof(f28555,plain,
( spl6_820
<=> ! [X0] :
( real_zero = a(X0,plus(X0,sK5(sK2,sK4)))
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_820])]) ).
fof(f268,plain,
( spl6_32
<=> n = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_32])]) ).
fof(f1169,plain,
( spl6_113
<=> n = plus(sK2,sK5(sK2,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_113])]) ).
fof(f8100,plain,
( spl6_332
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_332])]) ).
fof(f23681,plain,
( ! [X0] :
( real_zero = a(X0,plus(X0,sK5(sK2,sK4)))
| ~ int_less(int_zero,sK5(sK2,sK4))
| ~ int_leq(sK4,sK2)
| ~ int_leq(sK1,sK4)
| ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK2,sK2) )
| ~ spl6_32
| ~ spl6_113
| ~ spl6_332 ),
inference(forward_demodulation,[],[f23680,f270]) ).
fof(f270,plain,
( n = sK4
| ~ spl6_32 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f23680,plain,
( ! [X0] :
( ~ int_less(int_zero,sK5(sK2,sK4))
| ~ int_leq(sK4,sK2)
| ~ int_leq(sK1,sK4)
| ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_zero = a(X0,plus(X0,sK5(sK2,n)))
| ~ int_leq(sK2,sK2) )
| ~ spl6_32
| ~ spl6_113
| ~ spl6_332 ),
inference(forward_demodulation,[],[f23679,f270]) ).
fof(f23679,plain,
( ! [X0] :
( ~ int_leq(sK4,sK2)
| ~ int_leq(sK1,sK4)
| ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_less(int_zero,sK5(sK2,n))
| real_zero = a(X0,plus(X0,sK5(sK2,n)))
| ~ int_leq(sK2,sK2) )
| ~ spl6_32
| ~ spl6_113
| ~ spl6_332 ),
inference(forward_demodulation,[],[f23678,f270]) ).
fof(f23678,plain,
( ! [X0] :
( ~ int_leq(sK1,sK4)
| ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(n,sK2)
| ~ int_leq(X0,sK2)
| ~ int_less(int_zero,sK5(sK2,n))
| real_zero = a(X0,plus(X0,sK5(sK2,n)))
| ~ int_leq(sK2,sK2) )
| ~ spl6_32
| ~ spl6_113
| ~ spl6_332 ),
inference(forward_demodulation,[],[f8132,f270]) ).
fof(f8132,plain,
( ! [X0] :
( ~ int_leq(sK1,n)
| ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(n,sK2)
| ~ int_leq(X0,sK2)
| ~ int_less(int_zero,sK5(sK2,n))
| real_zero = a(X0,plus(X0,sK5(sK2,n)))
| ~ int_leq(sK2,sK2) )
| ~ spl6_113
| ~ spl6_332 ),
inference(superposition,[],[f8101,f1171]) ).
fof(f1171,plain,
( n = plus(sK2,sK5(sK2,n))
| ~ spl6_113 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f8101,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,sK2) )
| ~ spl6_332 ),
inference(avatar_component_clause,[],[f8100]) ).
fof(f28549,plain,
( spl6_818
| ~ spl6_119
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18195,f18173,f1263,f28547]) ).
fof(f28547,plain,
( spl6_818
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,plus(X1,X2)))
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X0,plus(X1,X2)),sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_818])]) ).
fof(f1263,plain,
( spl6_119
<=> ! [X0,X1] :
( int_leq(X0,plus(X1,X0))
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_119])]) ).
fof(f18173,plain,
( spl6_607
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_607])]) ).
fof(f18195,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,plus(X1,X2)))
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X0,plus(X1,X2)),sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_119
| ~ spl6_607 ),
inference(resolution,[],[f18174,f1264]) ).
fof(f1264,plain,
( ! [X0,X1] :
( int_leq(X0,plus(X1,X0))
| ~ int_less(int_zero,X1) )
| ~ spl6_119 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f18174,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1) )
| ~ spl6_607 ),
inference(avatar_component_clause,[],[f18173]) ).
fof(f28545,plain,
( spl6_817
| ~ spl6_67
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18189,f18173,f555,f28543]) ).
fof(f28543,plain,
( spl6_817
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(plus(X0,X1),X2))
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(plus(X0,X1),X2),sK4)
| ~ int_leq(int_zero,X1)
| ~ int_less(int_one,X0)
| ~ int_less(int_zero,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_817])]) ).
fof(f555,plain,
( spl6_67
<=> ! [X0,X1] :
( ~ int_less(int_zero,X0)
| int_leq(X1,plus(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_67])]) ).
fof(f18189,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(plus(X0,X1),X2))
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(plus(X0,X1),X2),sK4)
| ~ int_leq(int_zero,X1)
| ~ int_less(int_one,X0)
| ~ int_less(int_zero,X2) )
| ~ spl6_67
| ~ spl6_607 ),
inference(resolution,[],[f18174,f556]) ).
fof(f556,plain,
( ! [X0,X1] :
( int_leq(X1,plus(X1,X0))
| ~ int_less(int_zero,X0) )
| ~ spl6_67 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f28541,plain,
( spl6_816
| ~ spl6_19
| ~ spl6_590 ),
inference(avatar_split_clause,[],[f17640,f17596,f163,f28539]) ).
fof(f28539,plain,
( spl6_816
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X2,X1))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1)
| int_less(sK4,plus(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_816])]) ).
fof(f163,plain,
( spl6_19
<=> ! [X0,X1] :
( int_leq(X1,X0)
| int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f17596,plain,
( spl6_590
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X1)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X0)
| real_zero = a(X2,plus(X2,X0))
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_590])]) ).
fof(f17640,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X2,X1))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1)
| int_less(sK4,plus(X2,X1)) )
| ~ spl6_19
| ~ spl6_590 ),
inference(resolution,[],[f17597,f164]) ).
fof(f164,plain,
( ! [X0,X1] :
( int_leq(X1,X0)
| int_less(X0,X1) )
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f17597,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X1)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X0)
| real_zero = a(X2,plus(X2,X0))
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1) )
| ~ spl6_590 ),
inference(avatar_component_clause,[],[f17596]) ).
fof(f28537,plain,
( spl6_815
| ~ spl6_20
| ~ spl6_511 ),
inference(avatar_split_clause,[],[f12854,f12849,f167,f28534]) ).
fof(f28534,plain,
( spl6_815
<=> int_leq(sK5(sK1,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_815])]) ).
fof(f167,plain,
( spl6_20
<=> ! [X0,X1] :
( int_leq(X0,X1)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_20])]) ).
fof(f12849,plain,
( spl6_511
<=> int_less(sK5(sK1,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_511])]) ).
fof(f12854,plain,
( int_leq(sK5(sK1,sK2),sK3)
| ~ spl6_20
| ~ spl6_511 ),
inference(resolution,[],[f12851,f168]) ).
fof(f168,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| int_leq(X0,X1) )
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f12851,plain,
( int_less(sK5(sK1,sK2),sK3)
| ~ spl6_511 ),
inference(avatar_component_clause,[],[f12849]) ).
fof(f28493,plain,
( spl6_814
| ~ spl6_32
| ~ spl6_811 ),
inference(avatar_split_clause,[],[f28489,f28471,f268,f28491]) ).
fof(f28491,plain,
( spl6_814
<=> ! [X0] :
( real_zero = a(X0,plus(X0,sK5(sK2,sK4)))
| ~ int_leq(X0,sK2)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_814])]) ).
fof(f28471,plain,
( spl6_811
<=> ! [X0] :
( ~ int_leq(X0,sK2)
| real_zero = a(X0,plus(X0,sK5(sK2,n)))
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_811])]) ).
fof(f28489,plain,
( ! [X0] :
( real_zero = a(X0,plus(X0,sK5(sK2,sK4)))
| ~ int_leq(X0,sK2)
| ~ int_leq(int_one,X0) )
| ~ spl6_32
| ~ spl6_811 ),
inference(forward_demodulation,[],[f28472,f270]) ).
fof(f28472,plain,
( ! [X0] :
( ~ int_leq(X0,sK2)
| real_zero = a(X0,plus(X0,sK5(sK2,n)))
| ~ int_leq(int_one,X0) )
| ~ spl6_811 ),
inference(avatar_component_clause,[],[f28471]) ).
fof(f28486,plain,
( ~ spl6_7
| spl6_813 ),
inference(avatar_contradiction_clause,[],[f28484]) ).
fof(f28484,plain,
( $false
| ~ spl6_7
| spl6_813 ),
inference(resolution,[],[f28482,f104]) ).
fof(f104,plain,
( ! [X1] : int_leq(X1,X1)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl6_7
<=> ! [X1] : int_leq(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f28482,plain,
( ~ int_leq(sK4,sK4)
| spl6_813 ),
inference(avatar_component_clause,[],[f28480]) ).
fof(f28480,plain,
( spl6_813
<=> int_leq(sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_813])]) ).
fof(f28483,plain,
( ~ spl6_813
| ~ spl6_32
| spl6_812 ),
inference(avatar_split_clause,[],[f28478,f28474,f268,f28480]) ).
fof(f28474,plain,
( spl6_812
<=> int_leq(n,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_812])]) ).
fof(f28478,plain,
( ~ int_leq(sK4,sK4)
| ~ spl6_32
| spl6_812 ),
inference(forward_demodulation,[],[f28476,f270]) ).
fof(f28476,plain,
( ~ int_leq(n,sK4)
| spl6_812 ),
inference(avatar_component_clause,[],[f28474]) ).
fof(f28477,plain,
( ~ spl6_302
| ~ spl6_582
| ~ spl6_39
| ~ spl6_247
| spl6_811
| ~ spl6_812
| ~ spl6_113
| ~ spl6_589 ),
inference(avatar_split_clause,[],[f17624,f17592,f1169,f28474,f28471,f5362,f325,f17259,f7115]) ).
fof(f7115,plain,
( spl6_302
<=> int_leq(int_one,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_302])]) ).
fof(f17259,plain,
( spl6_582
<=> int_leq(sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_582])]) ).
fof(f325,plain,
( spl6_39
<=> int_leq(int_one,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_39])]) ).
fof(f5362,plain,
( spl6_247
<=> int_less(int_zero,sK5(sK2,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_247])]) ).
fof(f17592,plain,
( spl6_589
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_589])]) ).
fof(f17624,plain,
( ! [X0] :
( ~ int_leq(n,sK4)
| ~ int_leq(X0,sK2)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,sK5(sK2,n))
| real_zero = a(X0,plus(X0,sK5(sK2,n)))
| ~ int_leq(int_one,n)
| ~ int_leq(sK2,sK4)
| ~ int_leq(int_one,sK2) )
| ~ spl6_113
| ~ spl6_589 ),
inference(superposition,[],[f17593,f1171]) ).
fof(f17593,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0) )
| ~ spl6_589 ),
inference(avatar_component_clause,[],[f17592]) ).
fof(f28424,plain,
( ~ spl6_7
| spl6_809 ),
inference(avatar_contradiction_clause,[],[f28422]) ).
fof(f28422,plain,
( $false
| ~ spl6_7
| spl6_809 ),
inference(resolution,[],[f28415,f104]) ).
fof(f28415,plain,
( ~ int_leq(int_one,int_one)
| spl6_809 ),
inference(avatar_component_clause,[],[f28413]) ).
fof(f28413,plain,
( spl6_809
<=> int_leq(int_one,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_809])]) ).
fof(f28419,plain,
( ~ spl6_809
| ~ spl6_579
| ~ spl6_8
| ~ spl6_230
| spl6_810
| ~ spl6_583
| ~ spl6_112
| ~ spl6_589 ),
inference(avatar_split_clause,[],[f17619,f17592,f1164,f17285,f28417,f4232,f107,f17168,f28413]) ).
fof(f17168,plain,
( spl6_579
<=> int_leq(int_one,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_579])]) ).
fof(f4232,plain,
( spl6_230
<=> int_less(int_zero,sK5(int_one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_230])]) ).
fof(f28417,plain,
( spl6_810
<=> ! [X0] :
( ~ int_leq(X0,int_one)
| real_zero = a(X0,plus(X0,sK5(int_one,sK1)))
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_810])]) ).
fof(f1164,plain,
( spl6_112
<=> sK1 = plus(int_one,sK5(int_one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_112])]) ).
fof(f17619,plain,
( ! [X0] :
( ~ int_leq(sK1,sK4)
| ~ int_leq(X0,int_one)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,sK5(int_one,sK1))
| real_zero = a(X0,plus(X0,sK5(int_one,sK1)))
| ~ int_leq(int_one,sK1)
| ~ int_leq(int_one,sK4)
| ~ int_leq(int_one,int_one) )
| ~ spl6_112
| ~ spl6_589 ),
inference(superposition,[],[f17593,f1166]) ).
fof(f1166,plain,
( sK1 = plus(int_one,sK5(int_one,sK1))
| ~ spl6_112 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f28411,plain,
( spl6_808
| ~ spl6_19
| ~ spl6_589 ),
inference(avatar_split_clause,[],[f17603,f17592,f163,f28409]) ).
fof(f28409,plain,
( spl6_808
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1)
| int_less(sK4,plus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_808])]) ).
fof(f17603,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1)
| int_less(sK4,plus(X1,X2)) )
| ~ spl6_19
| ~ spl6_589 ),
inference(resolution,[],[f17593,f164]) ).
fof(f28216,plain,
( spl6_807
| ~ spl6_28
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18179,f18173,f235,f28214]) ).
fof(f28214,plain,
( spl6_807
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(X2,X3),plus(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_zero,X3)
| ~ int_less(int_one,X2)
| ~ int_leq(X3,X1)
| ~ int_less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_807])]) ).
fof(f235,plain,
( spl6_28
<=> ! [X0,X3,X2,X1] :
( int_leq(plus(X0,X2),plus(X1,X3))
| ~ int_leq(X2,X3)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_28])]) ).
fof(f18179,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(X2,X3),plus(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_zero,X3)
| ~ int_less(int_one,X2)
| ~ int_leq(X3,X1)
| ~ int_less(X2,X0) )
| ~ spl6_28
| ~ spl6_607 ),
inference(resolution,[],[f18174,f236]) ).
fof(f236,plain,
( ! [X2,X3,X0,X1] :
( int_leq(plus(X0,X2),plus(X1,X3))
| ~ int_leq(X2,X3)
| ~ int_less(X0,X1) )
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f28212,plain,
( spl6_806
| ~ spl6_77
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18178,f18173,f694,f28210]) ).
fof(f28210,plain,
( spl6_806
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(X2,X3),plus(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_zero,X3)
| ~ int_less(int_one,X2)
| ~ int_leq(X2,X1)
| ~ int_less(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_806])]) ).
fof(f694,plain,
( spl6_77
<=> ! [X0,X3,X2,X1] :
( int_leq(plus(X1,X0),plus(X2,X3))
| ~ int_leq(X1,X3)
| ~ int_less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_77])]) ).
fof(f18178,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(X2,X3),plus(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_zero,X3)
| ~ int_less(int_one,X2)
| ~ int_leq(X2,X1)
| ~ int_less(X3,X0) )
| ~ spl6_77
| ~ spl6_607 ),
inference(resolution,[],[f18174,f695]) ).
fof(f695,plain,
( ! [X2,X3,X0,X1] :
( int_leq(plus(X1,X0),plus(X2,X3))
| ~ int_leq(X1,X3)
| ~ int_less(X0,X2) )
| ~ spl6_77 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f28208,plain,
( spl6_805
| ~ spl6_78
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18177,f18173,f698,f28206]) ).
fof(f28206,plain,
( spl6_805
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(X2,X3),plus(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_zero,X3)
| ~ int_less(int_one,X2)
| ~ int_leq(X3,X0)
| ~ int_less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_805])]) ).
fof(f698,plain,
( spl6_78
<=> ! [X0,X3,X2,X1] :
( int_leq(plus(X2,X3),plus(X1,X0))
| ~ int_leq(X3,X1)
| ~ int_less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_78])]) ).
fof(f18177,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(X2,X3),plus(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_zero,X3)
| ~ int_less(int_one,X2)
| ~ int_leq(X3,X0)
| ~ int_less(X2,X1) )
| ~ spl6_78
| ~ spl6_607 ),
inference(resolution,[],[f18174,f699]) ).
fof(f699,plain,
( ! [X2,X3,X0,X1] :
( int_leq(plus(X2,X3),plus(X1,X0))
| ~ int_leq(X3,X1)
| ~ int_less(X2,X0) )
| ~ spl6_78 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f28204,plain,
( spl6_804
| ~ spl6_171
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18176,f18173,f2266,f28202]) ).
fof(f28202,plain,
( spl6_804
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(X2,X3),plus(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_zero,X3)
| ~ int_less(int_one,X2)
| ~ int_leq(X2,X0)
| ~ int_less(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_804])]) ).
fof(f2266,plain,
( spl6_171
<=> ! [X0,X3,X2,X1] :
( int_leq(plus(X2,X3),plus(X1,X0))
| ~ int_leq(X2,X1)
| ~ int_less(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_171])]) ).
fof(f18176,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(X2,X3),plus(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_zero,X3)
| ~ int_less(int_one,X2)
| ~ int_leq(X2,X0)
| ~ int_less(X3,X1) )
| ~ spl6_171
| ~ spl6_607 ),
inference(resolution,[],[f18174,f2267]) ).
fof(f2267,plain,
( ! [X2,X3,X0,X1] :
( int_leq(plus(X2,X3),plus(X1,X0))
| ~ int_leq(X2,X1)
| ~ int_less(X3,X0) )
| ~ spl6_171 ),
inference(avatar_component_clause,[],[f2266]) ).
fof(f27626,plain,
( spl6_803
| ~ spl6_291
| ~ spl6_21
| ~ spl6_96
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1312,f1259,f985,f179,f6878,f27623]) ).
fof(f27623,plain,
( spl6_803
<=> int_less(int_zero,plus(sK3,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_803])]) ).
fof(f6878,plain,
( spl6_291
<=> int_less(int_zero,sK5(int_one,plus(sK3,int_one))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_291])]) ).
fof(f179,plain,
( spl6_21
<=> ! [X0,X1] : plus(X0,X1) = plus(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_21])]) ).
fof(f985,plain,
( spl6_96
<=> ! [X0] : plus(X0,sK3) = plus(X0,sK5(X0,plus(X0,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_96])]) ).
fof(f1259,plain,
( spl6_118
<=> ! [X0] :
( ~ int_less(int_zero,X0)
| int_less(int_zero,plus(int_one,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_118])]) ).
fof(f1312,plain,
( ~ int_less(int_zero,sK5(int_one,plus(sK3,int_one)))
| int_less(int_zero,plus(sK3,int_one))
| ~ spl6_21
| ~ spl6_96
| ~ spl6_118 ),
inference(forward_demodulation,[],[f1311,f180]) ).
fof(f180,plain,
( ! [X0,X1] : plus(X0,X1) = plus(X1,X0)
| ~ spl6_21 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f1311,plain,
( int_less(int_zero,plus(sK3,int_one))
| ~ int_less(int_zero,sK5(int_one,plus(int_one,sK3)))
| ~ spl6_21
| ~ spl6_96
| ~ spl6_118 ),
inference(forward_demodulation,[],[f1309,f180]) ).
fof(f1309,plain,
( int_less(int_zero,plus(int_one,sK3))
| ~ int_less(int_zero,sK5(int_one,plus(int_one,sK3)))
| ~ spl6_96
| ~ spl6_118 ),
inference(superposition,[],[f1260,f986]) ).
fof(f986,plain,
( ! [X0] : plus(X0,sK3) = plus(X0,sK5(X0,plus(X0,sK3)))
| ~ spl6_96 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f1260,plain,
( ! [X0] :
( int_less(int_zero,plus(int_one,X0))
| ~ int_less(int_zero,X0) )
| ~ spl6_118 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f27568,plain,
( ~ spl6_24
| ~ spl6_68
| spl6_465 ),
inference(avatar_split_clause,[],[f27191,f11678,f559,f195]) ).
fof(f195,plain,
( spl6_24
<=> int_less(int_zero,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_24])]) ).
fof(f559,plain,
( spl6_68
<=> ! [X0,X1] :
( int_less(X0,plus(X1,X0))
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_68])]) ).
fof(f11678,plain,
( spl6_465
<=> int_less(int_one,plus(sK3,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_465])]) ).
fof(f27191,plain,
( ~ int_less(int_zero,sK3)
| ~ spl6_68
| spl6_465 ),
inference(resolution,[],[f11680,f560]) ).
fof(f560,plain,
( ! [X0,X1] :
( int_less(X0,plus(X1,X0))
| ~ int_less(int_zero,X1) )
| ~ spl6_68 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f11680,plain,
( ~ int_less(int_one,plus(sK3,int_one))
| spl6_465 ),
inference(avatar_component_clause,[],[f11678]) ).
fof(f27212,plain,
( spl6_802
| ~ spl6_96
| ~ spl6_606 ),
inference(avatar_split_clause,[],[f18639,f18168,f985,f27210]) ).
fof(f27210,plain,
( spl6_802
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(X1,n)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(int_one,X1)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_802])]) ).
fof(f18168,plain,
( spl6_606
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_606])]) ).
fof(f18639,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(X1,n)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(int_one,X1)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(int_one,X0) )
| ~ spl6_96
| ~ spl6_606 ),
inference(superposition,[],[f18169,f986]) ).
fof(f18169,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(X0,n)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(int_one,X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1) )
| ~ spl6_606 ),
inference(avatar_component_clause,[],[f18168]) ).
fof(f27208,plain,
( spl6_801
| ~ spl6_96
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18204,f18173,f985,f27206]) ).
fof(f27206,plain,
( spl6_801
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(int_one,X1)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_801])]) ).
fof(f18204,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(int_one,X1)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(int_one,X0) )
| ~ spl6_96
| ~ spl6_607 ),
inference(superposition,[],[f18174,f986]) ).
fof(f27204,plain,
( spl6_800
| ~ spl6_154
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18203,f18173,f1669,f27202]) ).
fof(f27202,plain,
( spl6_800
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,sK1),X1)
| ~ int_leq(int_one,X1)
| real_one = a(plus(X0,sK1),plus(X0,sK1))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_less(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_800])]) ).
fof(f1669,plain,
( spl6_154
<=> ! [X0] : plus(X0,sK1) = plus(X0,sK5(X0,plus(X0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_154])]) ).
fof(f18203,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,sK1),X1)
| ~ int_leq(int_one,X1)
| real_one = a(plus(X0,sK1),plus(X0,sK1))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_less(int_one,X0) )
| ~ spl6_154
| ~ spl6_607 ),
inference(superposition,[],[f18174,f1670]) ).
fof(f1670,plain,
( ! [X0] : plus(X0,sK1) = plus(X0,sK5(X0,plus(X0,sK1)))
| ~ spl6_154 ),
inference(avatar_component_clause,[],[f1669]) ).
fof(f27188,plain,
( spl6_799
| ~ spl6_153
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18202,f18173,f1665,f27186]) ).
fof(f27186,plain,
( spl6_799
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,int_one),X1)
| ~ int_leq(int_one,X1)
| real_one = a(plus(X0,int_one),plus(X0,int_one))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_799])]) ).
fof(f1665,plain,
( spl6_153
<=> ! [X0] : plus(X0,int_one) = plus(X0,sK5(X0,plus(X0,int_one))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_153])]) ).
fof(f18202,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,int_one),X1)
| ~ int_leq(int_one,X1)
| real_one = a(plus(X0,int_one),plus(X0,int_one))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(int_one,X0) )
| ~ spl6_153
| ~ spl6_607 ),
inference(superposition,[],[f18174,f1666]) ).
fof(f1666,plain,
( ! [X0] : plus(X0,int_one) = plus(X0,sK5(X0,plus(X0,int_one)))
| ~ spl6_153 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f27184,plain,
( spl6_798
| ~ spl6_73
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18064,f18044,f621,f27182]) ).
fof(f27182,plain,
( spl6_798
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_zero,X1)
| ~ int_less(plus(int_one,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_798])]) ).
fof(f621,plain,
( spl6_73
<=> ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(int_zero,X2)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_73])]) ).
fof(f18044,plain,
( spl6_605
<=> ! [X0,X1] :
( ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(plus(int_one,X1),X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_605])]) ).
fof(f18064,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_zero,X1)
| ~ int_less(plus(int_one,X2),X0) )
| ~ spl6_73
| ~ spl6_605 ),
inference(resolution,[],[f18045,f622]) ).
fof(f622,plain,
( ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(int_zero,X2)
| ~ int_less(X0,X1) )
| ~ spl6_73 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f18045,plain,
( ! [X0,X1] :
( ~ int_leq(plus(int_one,X1),X0)
| ~ int_leq(int_one,X0)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(X0,sK4)
| ~ int_less(int_zero,X1) )
| ~ spl6_605 ),
inference(avatar_component_clause,[],[f18044]) ).
fof(f27180,plain,
( spl6_797
| ~ spl6_138
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18063,f18044,f1594,f27178]) ).
fof(f27178,plain,
( spl6_797
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(plus(int_one,X2),X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_797])]) ).
fof(f1594,plain,
( spl6_138
<=> ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(X0,X2)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_138])]) ).
fof(f18063,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(plus(int_one,X2),X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_138
| ~ spl6_605 ),
inference(resolution,[],[f18045,f1595]) ).
fof(f1595,plain,
( ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(X0,X2)
| ~ int_less(int_zero,X1) )
| ~ spl6_138 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f27176,plain,
( spl6_796
| ~ spl6_143
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18062,f18044,f1614,f27174]) ).
fof(f27174,plain,
( spl6_796
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_less(int_zero,X1)
| ~ int_less(plus(int_one,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_796])]) ).
fof(f1614,plain,
( spl6_143
<=> ! [X2,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_less(int_zero,X2)
| int_leq(X0,plus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_143])]) ).
fof(f18062,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_less(int_zero,X1)
| ~ int_less(plus(int_one,X2),X0) )
| ~ spl6_143
| ~ spl6_605 ),
inference(resolution,[],[f18045,f1615]) ).
fof(f1615,plain,
( ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_less(int_zero,X2)
| ~ int_less(X0,X1) )
| ~ spl6_143 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f27172,plain,
( spl6_795
| ~ spl6_145
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18061,f18044,f1629,f27170]) ).
fof(f27170,plain,
( spl6_795
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_zero,X0)
| ~ int_less(plus(int_one,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_795])]) ).
fof(f1629,plain,
( spl6_145
<=> ! [X2,X0,X1] :
( int_leq(X2,plus(X1,X0))
| ~ int_leq(int_zero,X1)
| ~ int_less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_145])]) ).
fof(f18061,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_zero,X0)
| ~ int_less(plus(int_one,X2),X1) )
| ~ spl6_145
| ~ spl6_605 ),
inference(resolution,[],[f18045,f1630]) ).
fof(f1630,plain,
( ! [X2,X0,X1] :
( int_leq(X2,plus(X1,X0))
| ~ int_leq(int_zero,X1)
| ~ int_less(X2,X0) )
| ~ spl6_145 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f27168,plain,
( spl6_794
| ~ spl6_152
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18060,f18044,f1661,f27166]) ).
fof(f27166,plain,
( spl6_794
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(plus(int_one,X2),X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_794])]) ).
fof(f1661,plain,
( spl6_152
<=> ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_152])]) ).
fof(f18060,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(plus(int_one,X2),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_152
| ~ spl6_605 ),
inference(resolution,[],[f18045,f1662]) ).
fof(f1662,plain,
( ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2) )
| ~ spl6_152 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f27164,plain,
( spl6_793
| ~ spl6_73
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18006,f17991,f621,f27162]) ).
fof(f27162,plain,
( spl6_793
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK5(X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_793])]) ).
fof(f17991,plain,
( spl6_602
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(sK5(X1,X2),X0)
| ~ int_less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_602])]) ).
fof(f18006,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK5(X2,X3),X0) )
| ~ spl6_73
| ~ spl6_602 ),
inference(resolution,[],[f17992,f622]) ).
fof(f17992,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK5(X1,X2),X0)
| ~ int_leq(int_one,X0)
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_less(X1,X2) )
| ~ spl6_602 ),
inference(avatar_component_clause,[],[f17991]) ).
fof(f27160,plain,
( spl6_792
| ~ spl6_138
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18005,f17991,f1594,f27158]) ).
fof(f27158,plain,
( spl6_792
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_leq(sK5(X2,X3),X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_792])]) ).
fof(f18005,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_leq(sK5(X2,X3),X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_138
| ~ spl6_602 ),
inference(resolution,[],[f17992,f1595]) ).
fof(f27156,plain,
( spl6_791
| ~ spl6_143
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18004,f17991,f1614,f27154]) ).
fof(f27154,plain,
( spl6_791
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_less(int_zero,X1)
| ~ int_less(sK5(X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_791])]) ).
fof(f18004,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_less(int_zero,X1)
| ~ int_less(sK5(X2,X3),X0) )
| ~ spl6_143
| ~ spl6_602 ),
inference(resolution,[],[f17992,f1615]) ).
fof(f27152,plain,
( spl6_790
| ~ spl6_145
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18003,f17991,f1629,f27150]) ).
fof(f27150,plain,
( spl6_790
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK5(X2,X3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_790])]) ).
fof(f18003,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK5(X2,X3),X1) )
| ~ spl6_145
| ~ spl6_602 ),
inference(resolution,[],[f17992,f1630]) ).
fof(f27106,plain,
( spl6_789
| ~ spl6_152
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18002,f17991,f1661,f27104]) ).
fof(f27104,plain,
( spl6_789
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_leq(sK5(X2,X3),X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_789])]) ).
fof(f18002,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(sK5(X2,X3),sK5(X2,X3))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(X2,X3)
| ~ int_leq(sK5(X2,X3),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_152
| ~ spl6_602 ),
inference(resolution,[],[f17992,f1662]) ).
fof(f27102,plain,
( spl6_788
| ~ spl6_28
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17840,f17805,f235,f27100]) ).
fof(f27100,plain,
( spl6_788
<=> ! [X0,X3,X2,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(X2,X3),sK4)
| int_less(plus(X0,X1),int_one)
| int_less(plus(X2,X3),int_one)
| ~ int_leq(X1,X3)
| ~ int_less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_788])]) ).
fof(f17805,plain,
( spl6_596
<=> ! [X0,X1] :
( ~ int_leq(X0,sK4)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one)
| int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_596])]) ).
fof(f17840,plain,
( ! [X2,X3,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(X2,X3),sK4)
| int_less(plus(X0,X1),int_one)
| int_less(plus(X2,X3),int_one)
| ~ int_leq(X1,X3)
| ~ int_less(X0,X2) )
| ~ spl6_28
| ~ spl6_596 ),
inference(resolution,[],[f17806,f236]) ).
fof(f17806,plain,
( ! [X0,X1] :
( ~ int_leq(X1,X0)
| real_one = a(X1,X1)
| ~ int_leq(X0,sK4)
| int_less(X1,int_one)
| int_less(X0,int_one) )
| ~ spl6_596 ),
inference(avatar_component_clause,[],[f17805]) ).
fof(f27098,plain,
( spl6_787
| ~ spl6_77
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17839,f17805,f694,f27096]) ).
fof(f27096,plain,
( spl6_787
<=> ! [X0,X3,X2,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(X2,X3),sK4)
| int_less(plus(X0,X1),int_one)
| int_less(plus(X2,X3),int_one)
| ~ int_leq(X0,X3)
| ~ int_less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_787])]) ).
fof(f17839,plain,
( ! [X2,X3,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(X2,X3),sK4)
| int_less(plus(X0,X1),int_one)
| int_less(plus(X2,X3),int_one)
| ~ int_leq(X0,X3)
| ~ int_less(X1,X2) )
| ~ spl6_77
| ~ spl6_596 ),
inference(resolution,[],[f17806,f695]) ).
fof(f27094,plain,
( spl6_786
| ~ spl6_78
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17838,f17805,f698,f27092]) ).
fof(f27092,plain,
( spl6_786
<=> ! [X0,X3,X2,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(X2,X3),sK4)
| int_less(plus(X0,X1),int_one)
| int_less(plus(X2,X3),int_one)
| ~ int_leq(X1,X2)
| ~ int_less(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_786])]) ).
fof(f17838,plain,
( ! [X2,X3,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(X2,X3),sK4)
| int_less(plus(X0,X1),int_one)
| int_less(plus(X2,X3),int_one)
| ~ int_leq(X1,X2)
| ~ int_less(X0,X3) )
| ~ spl6_78
| ~ spl6_596 ),
inference(resolution,[],[f17806,f699]) ).
fof(f27090,plain,
( spl6_785
| ~ spl6_171
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17837,f17805,f2266,f27088]) ).
fof(f27088,plain,
( spl6_785
<=> ! [X0,X3,X2,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(X2,X3),sK4)
| int_less(plus(X0,X1),int_one)
| int_less(plus(X2,X3),int_one)
| ~ int_leq(X0,X2)
| ~ int_less(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_785])]) ).
fof(f17837,plain,
( ! [X2,X3,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(plus(X2,X3),sK4)
| int_less(plus(X0,X1),int_one)
| int_less(plus(X2,X3),int_one)
| ~ int_leq(X0,X2)
| ~ int_less(X1,X3) )
| ~ spl6_171
| ~ spl6_596 ),
inference(resolution,[],[f17806,f2267]) ).
fof(f27079,plain,
( spl6_544
| ~ spl6_96
| ~ spl6_329 ),
inference(avatar_split_clause,[],[f16360,f8031,f985,f14509]) ).
fof(f14509,plain,
( spl6_544
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(X1,sK2)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(sK1,X1)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_544])]) ).
fof(f8031,plain,
( spl6_329
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_329])]) ).
fof(f16360,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(X1,sK2)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(sK1,X1)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK1,X0) )
| ~ spl6_96
| ~ spl6_329 ),
inference(superposition,[],[f8032,f986]) ).
fof(f8032,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(X0,sK2)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) )
| ~ spl6_329 ),
inference(avatar_component_clause,[],[f8031]) ).
fof(f26840,plain,
( spl6_784
| ~ spl6_119
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18065,f18044,f1263,f26838]) ).
fof(f26838,plain,
( spl6_784
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,plus(int_one,X1)))
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(plus(X0,plus(int_one,X1)),sK4)
| ~ int_less(int_zero,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_784])]) ).
fof(f18065,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,plus(int_one,X1)))
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(plus(X0,plus(int_one,X1)),sK4)
| ~ int_less(int_zero,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_119
| ~ spl6_605 ),
inference(resolution,[],[f18045,f1264]) ).
fof(f26836,plain,
( spl6_783
| ~ spl6_67
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18059,f18044,f555,f26834]) ).
fof(f26834,plain,
( spl6_783
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(plus(int_one,X0),X1))
| real_one = a(plus(int_one,X0),plus(int_one,X0))
| ~ int_leq(plus(plus(int_one,X0),X1),sK4)
| ~ int_less(int_zero,X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_783])]) ).
fof(f18059,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(plus(int_one,X0),X1))
| real_one = a(plus(int_one,X0),plus(int_one,X0))
| ~ int_leq(plus(plus(int_one,X0),X1),sK4)
| ~ int_less(int_zero,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_67
| ~ spl6_605 ),
inference(resolution,[],[f18045,f556]) ).
fof(f26832,plain,
( spl6_782
| ~ spl6_119
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18007,f17991,f1263,f26830]) ).
fof(f26830,plain,
( spl6_782
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,sK5(X1,X2)))
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(plus(X0,sK5(X1,X2)),sK4)
| ~ int_less(X1,X2)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_782])]) ).
fof(f18007,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,sK5(X1,X2)))
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(plus(X0,sK5(X1,X2)),sK4)
| ~ int_less(X1,X2)
| ~ int_less(int_zero,X0) )
| ~ spl6_119
| ~ spl6_602 ),
inference(resolution,[],[f17992,f1264]) ).
fof(f26828,plain,
( spl6_781
| ~ spl6_67
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18001,f17991,f555,f26826]) ).
fof(f26826,plain,
( spl6_781
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(sK5(X0,X1),X2))
| real_one = a(sK5(X0,X1),sK5(X0,X1))
| ~ int_leq(plus(sK5(X0,X1),X2),sK4)
| ~ int_less(X0,X1)
| ~ int_less(int_zero,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_781])]) ).
fof(f18001,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(sK5(X0,X1),X2))
| real_one = a(sK5(X0,X1),sK5(X0,X1))
| ~ int_leq(plus(sK5(X0,X1),X2),sK4)
| ~ int_less(X0,X1)
| ~ int_less(int_zero,X2) )
| ~ spl6_67
| ~ spl6_602 ),
inference(resolution,[],[f17992,f556]) ).
fof(f26690,plain,
( spl6_780
| ~ spl6_27
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1075,f1058,f226,f26687]) ).
fof(f26687,plain,
( spl6_780
<=> sK2 = plus(int_one,sK5(int_one,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_780])]) ).
fof(f226,plain,
( spl6_27
<=> ! [X0,X1] :
( plus(X0,sK5(X0,X1)) = X1
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_27])]) ).
fof(f1058,plain,
( spl6_103
<=> int_less(int_one,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_103])]) ).
fof(f1075,plain,
( sK2 = plus(int_one,sK5(int_one,sK2))
| ~ spl6_27
| ~ spl6_103 ),
inference(resolution,[],[f1060,f227]) ).
fof(f227,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| plus(X0,sK5(X0,X1)) = X1 )
| ~ spl6_27 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f1060,plain,
( int_less(int_one,sK2)
| ~ spl6_103 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f26492,plain,
( spl6_779
| ~ spl6_28
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18050,f18044,f235,f26490]) ).
fof(f26490,plain,
( spl6_779
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(X2,X1)
| ~ int_less(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_779])]) ).
fof(f18050,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(X2,X1)
| ~ int_less(int_one,X0) )
| ~ spl6_28
| ~ spl6_605 ),
inference(resolution,[],[f18045,f236]) ).
fof(f26488,plain,
( spl6_778
| ~ spl6_77
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18049,f18044,f694,f26486]) ).
fof(f26486,plain,
( spl6_778
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_one,X1)
| ~ int_less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_778])]) ).
fof(f18049,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_one,X1)
| ~ int_less(X2,X0) )
| ~ spl6_77
| ~ spl6_605 ),
inference(resolution,[],[f18045,f695]) ).
fof(f26484,plain,
( spl6_777
| ~ spl6_78
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18048,f18044,f698,f26482]) ).
fof(f26482,plain,
( spl6_777
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_one,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_777])]) ).
fof(f18048,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_one,X1) )
| ~ spl6_78
| ~ spl6_605 ),
inference(resolution,[],[f18045,f699]) ).
fof(f26480,plain,
( spl6_776
| ~ spl6_171
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18047,f18044,f2266,f26478]) ).
fof(f26478,plain,
( spl6_776
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_one,X0)
| ~ int_less(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_776])]) ).
fof(f18047,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| real_one = a(plus(int_one,X2),plus(int_one,X2))
| ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_one,X0)
| ~ int_less(X2,X1) )
| ~ spl6_171
| ~ spl6_605 ),
inference(resolution,[],[f18045,f2267]) ).
fof(f26019,plain,
( spl6_775
| ~ spl6_74
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18183,f18173,f625,f26017]) ).
fof(f26017,plain,
( spl6_775
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_775])]) ).
fof(f625,plain,
( spl6_74
<=> ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_74])]) ).
fof(f18183,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,X0) )
| ~ spl6_74
| ~ spl6_607 ),
inference(resolution,[],[f18174,f626]) ).
fof(f626,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,X0) )
| ~ spl6_74 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f26015,plain,
( spl6_774
| ~ spl6_139
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18182,f18173,f1598,f26013]) ).
fof(f26013,plain,
( spl6_774
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_leq(X2,X0)
| ~ int_less(X1,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_774])]) ).
fof(f1598,plain,
( spl6_139
<=> ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X2,X0)
| ~ int_less(X1,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_139])]) ).
fof(f18182,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_leq(X2,X0)
| ~ int_less(X1,int_zero) )
| ~ spl6_139
| ~ spl6_607 ),
inference(resolution,[],[f18174,f1599]) ).
fof(f1599,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X2,X0)
| ~ int_less(X1,int_zero) )
| ~ spl6_139 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f26011,plain,
( spl6_773
| ~ spl6_148
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18181,f18173,f1644,f26009]) ).
fof(f26009,plain,
( spl6_773
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_leq(X1,int_zero)
| ~ int_less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_773])]) ).
fof(f1644,plain,
( spl6_148
<=> ! [X2,X0,X1] :
( int_leq(plus(X1,X0),X2)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_148])]) ).
fof(f18181,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_leq(X1,int_zero)
| ~ int_less(X2,X0) )
| ~ spl6_148
| ~ spl6_607 ),
inference(resolution,[],[f18174,f1645]) ).
fof(f1645,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X0),X2)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,X2) )
| ~ spl6_148 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f26007,plain,
( spl6_772
| ~ spl6_151
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18180,f18173,f1657,f26005]) ).
fof(f26005,plain,
( spl6_772
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_leq(X1,X0)
| ~ int_less(X2,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_772])]) ).
fof(f1657,plain,
( spl6_151
<=> ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X1,X0)
| ~ int_less(X2,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_151])]) ).
fof(f18180,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| ~ int_leq(X1,X0)
| ~ int_less(X2,int_zero) )
| ~ spl6_151
| ~ spl6_607 ),
inference(resolution,[],[f18174,f1658]) ).
fof(f1658,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X1,X0)
| ~ int_less(X2,int_zero) )
| ~ spl6_151 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f26003,plain,
( spl6_771
| ~ spl6_62
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f17278,f3631,f521,f26001]) ).
fof(f26001,plain,
( spl6_771
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(sK3,X1) = plus(sK4,X0)
| sK5(plus(sK4,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(sK4,X0),plus(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_771])]) ).
fof(f521,plain,
( spl6_62
<=> int_less(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_62])]) ).
fof(f3631,plain,
( spl6_203
<=> ! [X0,X3,X2,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| sK5(plus(X0,X2),plus(X1,X3)) = sK5(int_zero,sK5(plus(X0,X2),plus(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_203])]) ).
fof(f17278,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(sK3,X1) = plus(sK4,X0)
| sK5(plus(sK4,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(sK4,X0),plus(sK3,X1))) )
| ~ spl6_62
| ~ spl6_203 ),
inference(resolution,[],[f523,f3632]) ).
fof(f3632,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| sK5(plus(X0,X2),plus(X1,X3)) = sK5(int_zero,sK5(plus(X0,X2),plus(X1,X3))) )
| ~ spl6_203 ),
inference(avatar_component_clause,[],[f3631]) ).
fof(f523,plain,
( int_less(sK4,sK3)
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f25750,plain,
( ~ spl6_768
| spl6_769
| spl6_770
| ~ spl6_96
| ~ spl6_354 ),
inference(avatar_split_clause,[],[f8894,f8866,f985,f25748,f25744,f25740]) ).
fof(f25740,plain,
( spl6_768
<=> int_less(int_zero,sK5(sK1,plus(sK1,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_768])]) ).
fof(f25744,plain,
( spl6_769
<=> real_one = a(plus(sK1,sK3),plus(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_769])]) ).
fof(f25748,plain,
( spl6_770
<=> ! [X0] :
( ~ int_leq(plus(sK1,sK3),X0)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_770])]) ).
fof(f8866,plain,
( spl6_354
<=> ! [X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(plus(sK1,X1),plus(sK1,X1))
| ~ int_leq(plus(sK1,X1),X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_354])]) ).
fof(f8894,plain,
( ! [X0] :
( ~ int_leq(plus(sK1,sK3),X0)
| ~ int_leq(X0,n)
| real_one = a(plus(sK1,sK3),plus(sK1,sK3))
| ~ int_leq(sK1,X0)
| ~ int_less(int_zero,sK5(sK1,plus(sK1,sK3))) )
| ~ spl6_96
| ~ spl6_354 ),
inference(superposition,[],[f8867,f986]) ).
fof(f8867,plain,
( ! [X0,X1] :
( ~ int_leq(plus(sK1,X1),X0)
| ~ int_leq(X0,n)
| real_one = a(plus(sK1,X1),plus(sK1,X1))
| ~ int_leq(sK1,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_354 ),
inference(avatar_component_clause,[],[f8866]) ).
fof(f25191,plain,
( spl6_767
| ~ spl6_21
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18200,f18173,f179,f25189]) ).
fof(f25189,plain,
( spl6_767
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),X2)
| ~ int_leq(int_one,X2)
| real_one = a(plus(X1,X0),plus(X1,X0))
| ~ int_leq(X2,sK4)
| ~ int_leq(int_zero,X1)
| ~ int_less(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_767])]) ).
fof(f18200,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),X2)
| ~ int_leq(int_one,X2)
| real_one = a(plus(X1,X0),plus(X1,X0))
| ~ int_leq(X2,sK4)
| ~ int_leq(int_zero,X1)
| ~ int_less(int_one,X0) )
| ~ spl6_21
| ~ spl6_607 ),
inference(superposition,[],[f18174,f180]) ).
fof(f25187,plain,
( spl6_766
| ~ spl6_19
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18187,f18173,f163,f25185]) ).
fof(f25185,plain,
( spl6_766
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| int_less(X0,plus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_766])]) ).
fof(f18187,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1)
| int_less(X0,plus(X1,X2)) )
| ~ spl6_19
| ~ spl6_607 ),
inference(resolution,[],[f18174,f164]) ).
fof(f25183,plain,
( spl6_765
| ~ spl6_74
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17844,f17805,f625,f25181]) ).
fof(f25181,plain,
( spl6_765
<=> ! [X2,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X2,sK4)
| int_less(plus(X0,X1),int_one)
| int_less(X2,int_one)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_765])]) ).
fof(f17844,plain,
( ! [X2,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X2,sK4)
| int_less(plus(X0,X1),int_one)
| int_less(X2,int_one)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,X2) )
| ~ spl6_74
| ~ spl6_596 ),
inference(resolution,[],[f17806,f626]) ).
fof(f25153,plain,
( spl6_764
| ~ spl6_139
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17843,f17805,f1598,f25151]) ).
fof(f25151,plain,
( spl6_764
<=> ! [X2,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X2,sK4)
| int_less(plus(X0,X1),int_one)
| int_less(X2,int_one)
| ~ int_leq(X1,X2)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_764])]) ).
fof(f17843,plain,
( ! [X2,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X2,sK4)
| int_less(plus(X0,X1),int_one)
| int_less(X2,int_one)
| ~ int_leq(X1,X2)
| ~ int_less(X0,int_zero) )
| ~ spl6_139
| ~ spl6_596 ),
inference(resolution,[],[f17806,f1599]) ).
fof(f25149,plain,
( spl6_763
| ~ spl6_148
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17842,f17805,f1644,f25147]) ).
fof(f25147,plain,
( spl6_763
<=> ! [X2,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X2,sK4)
| int_less(plus(X0,X1),int_one)
| int_less(X2,int_one)
| ~ int_leq(X0,int_zero)
| ~ int_less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_763])]) ).
fof(f17842,plain,
( ! [X2,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X2,sK4)
| int_less(plus(X0,X1),int_one)
| int_less(X2,int_one)
| ~ int_leq(X0,int_zero)
| ~ int_less(X1,X2) )
| ~ spl6_148
| ~ spl6_596 ),
inference(resolution,[],[f17806,f1645]) ).
fof(f25145,plain,
( spl6_762
| ~ spl6_151
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17841,f17805,f1657,f25143]) ).
fof(f25143,plain,
( spl6_762
<=> ! [X2,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X2,sK4)
| int_less(plus(X0,X1),int_one)
| int_less(X2,int_one)
| ~ int_leq(X0,X2)
| ~ int_less(X1,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_762])]) ).
fof(f17841,plain,
( ! [X2,X0,X1] :
( real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X2,sK4)
| int_less(plus(X0,X1),int_one)
| int_less(X2,int_one)
| ~ int_leq(X0,X2)
| ~ int_less(X1,int_zero) )
| ~ spl6_151
| ~ spl6_596 ),
inference(resolution,[],[f17806,f1658]) ).
fof(f24957,plain,
( ~ spl6_255
| spl6_760
| spl6_761
| ~ spl6_94
| ~ spl6_601 ),
inference(avatar_split_clause,[],[f18566,f17986,f964,f24955,f24951,f6218]) ).
fof(f6218,plain,
( spl6_255
<=> int_less(int_zero,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_255])]) ).
fof(f24951,plain,
( spl6_760
<=> real_one = a(sK5(sK1,sK3),sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_760])]) ).
fof(f24955,plain,
( spl6_761
<=> ! [X0] :
( ~ int_leq(sK5(sK1,sK3),X0)
| ~ int_leq(int_one,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_761])]) ).
fof(f964,plain,
( spl6_94
<=> sK5(sK1,sK3) = sK5(int_zero,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_94])]) ).
fof(f17986,plain,
( spl6_601
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(sK5(X1,X2),X0)
| ~ int_less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_601])]) ).
fof(f18566,plain,
( ! [X0] :
( ~ int_leq(sK5(sK1,sK3),X0)
| ~ int_leq(X0,n)
| real_one = a(sK5(sK1,sK3),sK5(sK1,sK3))
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,sK5(sK1,sK3)) )
| ~ spl6_94
| ~ spl6_601 ),
inference(superposition,[],[f17987,f966]) ).
fof(f966,plain,
( sK5(sK1,sK3) = sK5(int_zero,sK5(sK1,sK3))
| ~ spl6_94 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f17987,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK5(X1,X2),X0)
| ~ int_leq(X0,n)
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(int_one,X0)
| ~ int_less(X1,X2) )
| ~ spl6_601 ),
inference(avatar_component_clause,[],[f17986]) ).
fof(f24949,plain,
( ~ spl6_227
| spl6_758
| spl6_759
| ~ spl6_93
| ~ spl6_601 ),
inference(avatar_split_clause,[],[f18565,f17986,f938,f24947,f24943,f4216]) ).
fof(f4216,plain,
( spl6_227
<=> int_less(int_zero,sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_227])]) ).
fof(f24943,plain,
( spl6_758
<=> real_one = a(sK5(int_one,sK3),sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_758])]) ).
fof(f24947,plain,
( spl6_759
<=> ! [X0] :
( ~ int_leq(sK5(int_one,sK3),X0)
| ~ int_leq(int_one,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_759])]) ).
fof(f938,plain,
( spl6_93
<=> sK5(int_one,sK3) = sK5(int_zero,sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_93])]) ).
fof(f18565,plain,
( ! [X0] :
( ~ int_leq(sK5(int_one,sK3),X0)
| ~ int_leq(X0,n)
| real_one = a(sK5(int_one,sK3),sK5(int_one,sK3))
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,sK5(int_one,sK3)) )
| ~ spl6_93
| ~ spl6_601 ),
inference(superposition,[],[f17987,f940]) ).
fof(f940,plain,
( sK5(int_one,sK3) = sK5(int_zero,sK5(int_one,sK3))
| ~ spl6_93 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f24941,plain,
( ~ spl6_230
| spl6_756
| spl6_757
| ~ spl6_131
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18017,f17991,f1396,f24939,f24935,f4232]) ).
fof(f24935,plain,
( spl6_756
<=> real_one = a(sK5(int_one,sK1),sK5(int_one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_756])]) ).
fof(f24939,plain,
( spl6_757
<=> ! [X0] :
( ~ int_leq(sK5(int_one,sK1),X0)
| ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_757])]) ).
fof(f1396,plain,
( spl6_131
<=> sK5(int_one,sK1) = sK5(int_zero,sK5(int_one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_131])]) ).
fof(f18017,plain,
( ! [X0] :
( ~ int_leq(sK5(int_one,sK1),X0)
| ~ int_leq(int_one,X0)
| real_one = a(sK5(int_one,sK1),sK5(int_one,sK1))
| ~ int_leq(X0,sK4)
| ~ int_less(int_zero,sK5(int_one,sK1)) )
| ~ spl6_131
| ~ spl6_602 ),
inference(superposition,[],[f17992,f1398]) ).
fof(f1398,plain,
( sK5(int_one,sK1) = sK5(int_zero,sK5(int_one,sK1))
| ~ spl6_131 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f24916,plain,
( spl6_755
| ~ spl6_32
| ~ spl6_753 ),
inference(avatar_split_clause,[],[f24911,f24904,f268,f24913]) ).
fof(f24913,plain,
( spl6_755
<=> real_one = a(sK5(sK2,sK4),sK5(sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_755])]) ).
fof(f24904,plain,
( spl6_753
<=> real_one = a(sK5(sK2,n),sK5(sK2,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_753])]) ).
fof(f24911,plain,
( real_one = a(sK5(sK2,sK4),sK5(sK2,sK4))
| ~ spl6_32
| ~ spl6_753 ),
inference(forward_demodulation,[],[f24906,f270]) ).
fof(f24906,plain,
( real_one = a(sK5(sK2,n),sK5(sK2,n))
| ~ spl6_753 ),
inference(avatar_component_clause,[],[f24904]) ).
fof(f24910,plain,
( ~ spl6_247
| spl6_753
| spl6_754
| ~ spl6_133
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f18016,f17991,f1406,f24908,f24904,f5362]) ).
fof(f24908,plain,
( spl6_754
<=> ! [X0] :
( ~ int_leq(sK5(sK2,n),X0)
| ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_754])]) ).
fof(f1406,plain,
( spl6_133
<=> sK5(sK2,n) = sK5(int_zero,sK5(sK2,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_133])]) ).
fof(f18016,plain,
( ! [X0] :
( ~ int_leq(sK5(sK2,n),X0)
| ~ int_leq(int_one,X0)
| real_one = a(sK5(sK2,n),sK5(sK2,n))
| ~ int_leq(X0,sK4)
| ~ int_less(int_zero,sK5(sK2,n)) )
| ~ spl6_133
| ~ spl6_602 ),
inference(superposition,[],[f17992,f1408]) ).
fof(f1408,plain,
( sK5(sK2,n) = sK5(int_zero,sK5(sK2,n))
| ~ spl6_133 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f24885,plain,
( ~ spl6_750
| spl6_751
| ~ spl6_752
| ~ spl6_21
| ~ spl6_154
| ~ spl6_600 ),
inference(avatar_split_clause,[],[f17937,f17916,f1669,f179,f24882,f24879,f24875]) ).
fof(f24875,plain,
( spl6_750
<=> int_leq(plus(sK1,int_one),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_750])]) ).
fof(f24879,plain,
( spl6_751
<=> ! [X0] :
( ~ int_leq(X0,plus(sK1,int_one))
| int_less(X0,int_one)
| real_one = a(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_751])]) ).
fof(f24882,plain,
( spl6_752
<=> int_less(int_zero,sK5(int_one,plus(sK1,int_one))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_752])]) ).
fof(f17916,plain,
( spl6_600
<=> ! [X0,X1] :
( ~ int_leq(plus(int_one,X0),sK4)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(int_one,X0))
| int_less(X1,int_one)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_600])]) ).
fof(f17937,plain,
( ! [X0] :
( ~ int_less(int_zero,sK5(int_one,plus(sK1,int_one)))
| ~ int_leq(X0,plus(sK1,int_one))
| ~ int_leq(plus(sK1,int_one),sK4)
| real_one = a(X0,X0)
| int_less(X0,int_one) )
| ~ spl6_21
| ~ spl6_154
| ~ spl6_600 ),
inference(forward_demodulation,[],[f17936,f180]) ).
fof(f17936,plain,
( ! [X0] :
( ~ int_leq(X0,plus(sK1,int_one))
| ~ int_leq(plus(sK1,int_one),sK4)
| real_one = a(X0,X0)
| int_less(X0,int_one)
| ~ int_less(int_zero,sK5(int_one,plus(int_one,sK1))) )
| ~ spl6_21
| ~ spl6_154
| ~ spl6_600 ),
inference(forward_demodulation,[],[f17935,f180]) ).
fof(f17935,plain,
( ! [X0] :
( ~ int_leq(plus(sK1,int_one),sK4)
| real_one = a(X0,X0)
| ~ int_leq(X0,plus(int_one,sK1))
| int_less(X0,int_one)
| ~ int_less(int_zero,sK5(int_one,plus(int_one,sK1))) )
| ~ spl6_21
| ~ spl6_154
| ~ spl6_600 ),
inference(forward_demodulation,[],[f17930,f180]) ).
fof(f17930,plain,
( ! [X0] :
( ~ int_leq(plus(int_one,sK1),sK4)
| real_one = a(X0,X0)
| ~ int_leq(X0,plus(int_one,sK1))
| int_less(X0,int_one)
| ~ int_less(int_zero,sK5(int_one,plus(int_one,sK1))) )
| ~ spl6_154
| ~ spl6_600 ),
inference(superposition,[],[f17917,f1670]) ).
fof(f17917,plain,
( ! [X0,X1] :
( ~ int_leq(plus(int_one,X0),sK4)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(int_one,X0))
| int_less(X1,int_one)
| ~ int_less(int_zero,X0) )
| ~ spl6_600 ),
inference(avatar_component_clause,[],[f17916]) ).
fof(f24856,plain,
( ~ spl6_747
| spl6_748
| ~ spl6_749
| ~ spl6_153
| ~ spl6_600 ),
inference(avatar_split_clause,[],[f17929,f17916,f1665,f24853,f24850,f24846]) ).
fof(f24846,plain,
( spl6_747
<=> int_less(int_zero,sK5(int_one,plus(int_one,int_one))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_747])]) ).
fof(f24850,plain,
( spl6_748
<=> ! [X0] :
( real_one = a(X0,X0)
| int_less(X0,int_one)
| ~ int_leq(X0,plus(int_one,int_one)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_748])]) ).
fof(f24853,plain,
( spl6_749
<=> int_leq(plus(int_one,int_one),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_749])]) ).
fof(f17929,plain,
( ! [X0] :
( ~ int_leq(plus(int_one,int_one),sK4)
| real_one = a(X0,X0)
| ~ int_leq(X0,plus(int_one,int_one))
| int_less(X0,int_one)
| ~ int_less(int_zero,sK5(int_one,plus(int_one,int_one))) )
| ~ spl6_153
| ~ spl6_600 ),
inference(superposition,[],[f17917,f1666]) ).
fof(f24844,plain,
( spl6_746
| ~ spl6_62
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f17277,f3549,f521,f24842]) ).
fof(f24842,plain,
( spl6_746
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(sK3,X1) = plus(sK4,X0)
| plus(sK3,X1) = plus(plus(sK4,X0),sK5(plus(sK4,X0),plus(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_746])]) ).
fof(f3549,plain,
( spl6_202
<=> ! [X0,X3,X2,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| plus(X1,X3) = plus(plus(X0,X2),sK5(plus(X0,X2),plus(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_202])]) ).
fof(f17277,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(sK3,X1) = plus(sK4,X0)
| plus(sK3,X1) = plus(plus(sK4,X0),sK5(plus(sK4,X0),plus(sK3,X1))) )
| ~ spl6_62
| ~ spl6_202 ),
inference(resolution,[],[f523,f3550]) ).
fof(f3550,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| plus(X1,X3) = plus(plus(X0,X2),sK5(plus(X0,X2),plus(X1,X3))) )
| ~ spl6_202 ),
inference(avatar_component_clause,[],[f3549]) ).
fof(f24840,plain,
( spl6_745
| ~ spl6_213
| ~ spl6_274 ),
inference(avatar_split_clause,[],[f6621,f6552,f3829,f24837]) ).
fof(f24837,plain,
( spl6_745
<=> int_leq(sK5(int_one,sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_745])]) ).
fof(f3829,plain,
( spl6_213
<=> int_less(sK5(int_one,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_213])]) ).
fof(f6552,plain,
( spl6_274
<=> ! [X0] :
( int_leq(X0,sK3)
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_274])]) ).
fof(f6621,plain,
( int_leq(sK5(int_one,sK1),sK3)
| ~ spl6_213
| ~ spl6_274 ),
inference(resolution,[],[f6553,f3831]) ).
fof(f3831,plain,
( int_less(sK5(int_one,sK1),sK1)
| ~ spl6_213 ),
inference(avatar_component_clause,[],[f3829]) ).
fof(f6553,plain,
( ! [X0] :
( ~ int_less(X0,sK1)
| int_leq(X0,sK3) )
| ~ spl6_274 ),
inference(avatar_component_clause,[],[f6552]) ).
fof(f24591,plain,
( spl6_744
| ~ spl6_26
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1076,f1058,f213,f24589]) ).
fof(f24589,plain,
( spl6_744
<=> ! [X0] :
( int_less(X0,sK2)
| ~ int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_744])]) ).
fof(f213,plain,
( spl6_26
<=> ! [X2,X0,X1] :
( int_less(X0,X2)
| ~ int_less(X1,X2)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_26])]) ).
fof(f1076,plain,
( ! [X0] :
( int_less(X0,sK2)
| ~ int_less(X0,int_one) )
| ~ spl6_26
| ~ spl6_103 ),
inference(resolution,[],[f1060,f214]) ).
fof(f214,plain,
( ! [X2,X0,X1] :
( ~ int_less(X1,X2)
| int_less(X0,X2)
| ~ int_less(X0,X1) )
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f24380,plain,
( spl6_743
| ~ spl6_20
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4127,f3829,f167,f24377]) ).
fof(f24377,plain,
( spl6_743
<=> int_leq(sK5(int_one,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_743])]) ).
fof(f4127,plain,
( int_leq(sK5(int_one,sK1),sK1)
| ~ spl6_20
| ~ spl6_213 ),
inference(resolution,[],[f3831,f168]) ).
fof(f24375,plain,
( spl6_742
| ~ spl6_32
| ~ spl6_356 ),
inference(avatar_split_clause,[],[f18119,f8912,f268,f24373]) ).
fof(f24373,plain,
( spl6_742
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| int_less(X2,sK1)
| real_one = a(X2,X2)
| ~ int_leq(X2,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_742])]) ).
fof(f8912,plain,
( spl6_356
<=> ! [X2,X0,X1] :
( int_less(X0,sK1)
| ~ int_leq(plus(X1,X2),n)
| real_one = a(X0,X0)
| ~ int_leq(X0,plus(X1,X2))
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_356])]) ).
fof(f18119,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| int_less(X2,sK1)
| real_one = a(X2,X2)
| ~ int_leq(X2,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_32
| ~ spl6_356 ),
inference(superposition,[],[f8913,f270]) ).
fof(f8913,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X2),n)
| int_less(X0,sK1)
| real_one = a(X0,X0)
| ~ int_leq(X0,plus(X1,X2))
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) )
| ~ spl6_356 ),
inference(avatar_component_clause,[],[f8912]) ).
fof(f24286,plain,
( spl6_740
| spl6_741
| ~ spl6_74
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18054,f18044,f625,f24284,f24281]) ).
fof(f24281,plain,
( spl6_740
<=> ! [X1] :
( real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(X1,int_zero)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_740])]) ).
fof(f24284,plain,
( spl6_741
<=> ! [X0] :
( ~ int_leq(int_one,X0)
| ~ int_less(int_one,X0)
| ~ int_leq(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_741])]) ).
fof(f18054,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(X0,sK4)
| ~ int_less(int_zero,X1)
| ~ int_leq(X1,int_zero)
| ~ int_less(int_one,X0) )
| ~ spl6_74
| ~ spl6_605 ),
inference(resolution,[],[f18045,f626]) ).
fof(f24279,plain,
( spl6_739
| ~ spl6_73
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17816,f17805,f621,f24277]) ).
fof(f24277,plain,
( spl6_739
<=> ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_leq(int_zero,X2)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_739])]) ).
fof(f17816,plain,
( ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_leq(int_zero,X2)
| ~ int_less(X0,X1) )
| ~ spl6_73
| ~ spl6_596 ),
inference(resolution,[],[f17806,f622]) ).
fof(f24275,plain,
( spl6_738
| ~ spl6_138
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17815,f17805,f1594,f24273]) ).
fof(f24273,plain,
( spl6_738
<=> ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_leq(X0,X2)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_738])]) ).
fof(f17815,plain,
( ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_leq(X0,X2)
| ~ int_less(int_zero,X1) )
| ~ spl6_138
| ~ spl6_596 ),
inference(resolution,[],[f17806,f1595]) ).
fof(f24271,plain,
( spl6_737
| ~ spl6_143
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17814,f17805,f1614,f24269]) ).
fof(f24269,plain,
( spl6_737
<=> ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_less(int_zero,X2)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_737])]) ).
fof(f17814,plain,
( ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_less(int_zero,X2)
| ~ int_less(X0,X1) )
| ~ spl6_143
| ~ spl6_596 ),
inference(resolution,[],[f17806,f1615]) ).
fof(f24267,plain,
( spl6_736
| ~ spl6_145
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17813,f17805,f1629,f24265]) ).
fof(f24265,plain,
( spl6_736
<=> ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_leq(int_zero,X1)
| ~ int_less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_736])]) ).
fof(f17813,plain,
( ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_leq(int_zero,X1)
| ~ int_less(X0,X2) )
| ~ spl6_145
| ~ spl6_596 ),
inference(resolution,[],[f17806,f1630]) ).
fof(f24263,plain,
( spl6_735
| ~ spl6_152
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17812,f17805,f1661,f24261]) ).
fof(f24261,plain,
( spl6_735
<=> ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_735])]) ).
fof(f17812,plain,
( ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X2),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X2),int_one)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2) )
| ~ spl6_152
| ~ spl6_596 ),
inference(resolution,[],[f17806,f1662]) ).
fof(f24153,plain,
( spl6_286
| ~ spl6_86
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4125,f3829,f814,f6734]) ).
fof(f6734,plain,
( spl6_286
<=> int_less(sK5(int_one,sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_286])]) ).
fof(f814,plain,
( spl6_86
<=> ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_86])]) ).
fof(f4125,plain,
( int_less(sK5(int_one,sK1),sK3)
| ~ spl6_86
| ~ spl6_213 ),
inference(resolution,[],[f3831,f815]) ).
fof(f815,plain,
( ! [X0] :
( ~ int_less(X0,sK1)
| int_less(X0,sK3) )
| ~ spl6_86 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f24050,plain,
( spl6_734
| ~ spl6_21
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18072,f18044,f179,f24048]) ).
fof(f24048,plain,
( spl6_734
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,int_one),X1)
| ~ int_leq(int_one,X1)
| real_one = a(plus(X0,int_one),plus(X0,int_one))
| ~ int_leq(X1,sK4)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_734])]) ).
fof(f18072,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,int_one),X1)
| ~ int_leq(int_one,X1)
| real_one = a(plus(X0,int_one),plus(X0,int_one))
| ~ int_leq(X1,sK4)
| ~ int_less(int_zero,X0) )
| ~ spl6_21
| ~ spl6_605 ),
inference(superposition,[],[f18045,f180]) ).
fof(f24046,plain,
( spl6_733
| ~ spl6_19
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18057,f18044,f163,f24044]) ).
fof(f24044,plain,
( spl6_733
<=> ! [X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(X0,sK4)
| ~ int_less(int_zero,X1)
| int_less(X0,plus(int_one,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_733])]) ).
fof(f18057,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(X0,sK4)
| ~ int_less(int_zero,X1)
| int_less(X0,plus(int_one,X1)) )
| ~ spl6_19
| ~ spl6_605 ),
inference(resolution,[],[f18045,f164]) ).
fof(f24042,plain,
( spl6_732
| ~ spl6_19
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f17999,f17991,f163,f24040]) ).
fof(f24040,plain,
( spl6_732
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_less(X1,X2)
| int_less(X0,sK5(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_732])]) ).
fof(f17999,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(X0,sK4)
| ~ int_less(X1,X2)
| int_less(X0,sK5(X1,X2)) )
| ~ spl6_19
| ~ spl6_602 ),
inference(resolution,[],[f17992,f164]) ).
fof(f24037,plain,
( ~ spl6_731
| ~ spl6_32
| spl6_730 ),
inference(avatar_split_clause,[],[f24032,f24028,f268,f24034]) ).
fof(f24034,plain,
( spl6_731
<=> int_leq(sK5(sK2,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_731])]) ).
fof(f24028,plain,
( spl6_730
<=> int_leq(sK5(sK2,n),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_730])]) ).
fof(f24032,plain,
( ~ int_leq(sK5(sK2,sK4),sK4)
| ~ spl6_32
| spl6_730 ),
inference(forward_demodulation,[],[f24030,f270]) ).
fof(f24030,plain,
( ~ int_leq(sK5(sK2,n),sK4)
| spl6_730 ),
inference(avatar_component_clause,[],[f24028]) ).
fof(f24031,plain,
( ~ spl6_247
| spl6_729
| ~ spl6_730
| ~ spl6_133
| ~ spl6_598 ),
inference(avatar_split_clause,[],[f17897,f17888,f1406,f24028,f24025,f5362]) ).
fof(f24025,plain,
( spl6_729
<=> ! [X0] :
( real_one = a(X0,X0)
| int_less(X0,int_one)
| ~ int_leq(X0,sK5(sK2,n)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_729])]) ).
fof(f17888,plain,
( spl6_598
<=> ! [X2,X0,X1] :
( ~ int_leq(sK5(X0,X1),sK4)
| real_one = a(X2,X2)
| ~ int_leq(X2,sK5(X0,X1))
| int_less(X2,int_one)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_598])]) ).
fof(f17897,plain,
( ! [X0] :
( ~ int_leq(sK5(sK2,n),sK4)
| real_one = a(X0,X0)
| ~ int_leq(X0,sK5(sK2,n))
| int_less(X0,int_one)
| ~ int_less(int_zero,sK5(sK2,n)) )
| ~ spl6_133
| ~ spl6_598 ),
inference(superposition,[],[f17889,f1408]) ).
fof(f17889,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK5(X0,X1),sK4)
| real_one = a(X2,X2)
| ~ int_leq(X2,sK5(X0,X1))
| int_less(X2,int_one)
| ~ int_less(X0,X1) )
| ~ spl6_598 ),
inference(avatar_component_clause,[],[f17888]) ).
fof(f23974,plain,
( spl6_728
| ~ spl6_7
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18056,f18044,f103,f23972]) ).
fof(f23972,plain,
( spl6_728
<=> ! [X0] :
( ~ int_leq(int_one,plus(int_one,X0))
| real_one = a(plus(int_one,X0),plus(int_one,X0))
| ~ int_leq(plus(int_one,X0),sK4)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_728])]) ).
fof(f18056,plain,
( ! [X0] :
( ~ int_leq(int_one,plus(int_one,X0))
| real_one = a(plus(int_one,X0),plus(int_one,X0))
| ~ int_leq(plus(int_one,X0),sK4)
| ~ int_less(int_zero,X0) )
| ~ spl6_7
| ~ spl6_605 ),
inference(resolution,[],[f18045,f104]) ).
fof(f23936,plain,
( spl6_727
| ~ spl6_7
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f17998,f17991,f103,f23934]) ).
fof(f23934,plain,
( spl6_727
<=> ! [X0,X1] :
( ~ int_leq(int_one,sK5(X0,X1))
| real_one = a(sK5(X0,X1),sK5(X0,X1))
| ~ int_leq(sK5(X0,X1),sK4)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_727])]) ).
fof(f17998,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,sK5(X0,X1))
| real_one = a(sK5(X0,X1),sK5(X0,X1))
| ~ int_leq(sK5(X0,X1),sK4)
| ~ int_less(X0,X1) )
| ~ spl6_7
| ~ spl6_602 ),
inference(resolution,[],[f17992,f104]) ).
fof(f23883,plain,
( ~ spl6_697
| spl6_726
| ~ spl6_74
| ~ spl6_600 ),
inference(avatar_split_clause,[],[f17922,f17916,f625,f23881,f22587]) ).
fof(f22587,plain,
( spl6_697
<=> int_less(int_one,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_697])]) ).
fof(f23881,plain,
( spl6_726
<=> ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(X1,int_zero)
| ~ int_less(int_zero,X1)
| int_less(X0,int_one)
| ~ int_leq(X0,plus(int_one,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_726])]) ).
fof(f17922,plain,
( ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(X0,plus(int_one,X1))
| int_less(X0,int_one)
| ~ int_less(int_zero,X1)
| ~ int_leq(X1,int_zero)
| ~ int_less(int_one,sK4) )
| ~ spl6_74
| ~ spl6_600 ),
inference(resolution,[],[f17917,f626]) ).
fof(f23697,plain,
( spl6_725
| ~ spl6_21
| ~ spl6_600 ),
inference(avatar_split_clause,[],[f17927,f17916,f179,f23695]) ).
fof(f23695,plain,
( spl6_725
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,int_one),sK4)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(X0,int_one))
| int_less(X1,int_one)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_725])]) ).
fof(f17927,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,int_one),sK4)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(X0,int_one))
| int_less(X1,int_one)
| ~ int_less(int_zero,X0) )
| ~ spl6_21
| ~ spl6_600 ),
inference(superposition,[],[f17917,f180]) ).
fof(f23693,plain,
( spl6_724
| ~ spl6_19
| ~ spl6_600 ),
inference(avatar_split_clause,[],[f17923,f17916,f163,f23691]) ).
fof(f23691,plain,
( spl6_724
<=> ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(X0,plus(int_one,X1))
| int_less(X0,int_one)
| ~ int_less(int_zero,X1)
| int_less(sK4,plus(int_one,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_724])]) ).
fof(f17923,plain,
( ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(X0,plus(int_one,X1))
| int_less(X0,int_one)
| ~ int_less(int_zero,X1)
| int_less(sK4,plus(int_one,X1)) )
| ~ spl6_19
| ~ spl6_600 ),
inference(resolution,[],[f17917,f164]) ).
fof(f23648,plain,
( spl6_673
| ~ spl6_525
| ~ spl6_666 ),
inference(avatar_split_clause,[],[f22854,f21005,f13401,f21577]) ).
fof(f13401,plain,
( spl6_525
<=> ! [X0] :
( int_leq(X0,sK2)
| ~ int_leq(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_525])]) ).
fof(f21005,plain,
( spl6_666
<=> int_leq(sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_666])]) ).
fof(f22854,plain,
( int_leq(sK4,sK2)
| ~ spl6_525
| ~ spl6_666 ),
inference(resolution,[],[f21007,f13402]) ).
fof(f13402,plain,
( ! [X0] :
( ~ int_leq(X0,sK1)
| int_leq(X0,sK2) )
| ~ spl6_525 ),
inference(avatar_component_clause,[],[f13401]) ).
fof(f21007,plain,
( int_leq(sK4,sK1)
| ~ spl6_666 ),
inference(avatar_component_clause,[],[f21005]) ).
fof(f23647,plain,
( spl6_723
| ~ spl6_19
| ~ spl6_598 ),
inference(avatar_split_clause,[],[f17891,f17888,f163,f23645]) ).
fof(f23645,plain,
( spl6_723
<=> ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(X0,sK5(X1,X2))
| int_less(X0,int_one)
| ~ int_less(X1,X2)
| int_less(sK4,sK5(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_723])]) ).
fof(f17891,plain,
( ! [X2,X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(X0,sK5(X1,X2))
| int_less(X0,int_one)
| ~ int_less(X1,X2)
| int_less(sK4,sK5(X1,X2)) )
| ~ spl6_19
| ~ spl6_598 ),
inference(resolution,[],[f17889,f164]) ).
fof(f23643,plain,
( spl6_722
| ~ spl6_119
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17817,f17805,f1263,f23641]) ).
fof(f23641,plain,
( spl6_722
<=> ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X0),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X0),int_one)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_722])]) ).
fof(f17817,plain,
( ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X1,X0),sK4)
| int_less(X0,int_one)
| int_less(plus(X1,X0),int_one)
| ~ int_less(int_zero,X1) )
| ~ spl6_119
| ~ spl6_596 ),
inference(resolution,[],[f17806,f1264]) ).
fof(f23639,plain,
( spl6_721
| ~ spl6_67
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17811,f17805,f555,f23637]) ).
fof(f23637,plain,
( spl6_721
<=> ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X0,X1),sK4)
| int_less(X0,int_one)
| int_less(plus(X0,X1),int_one)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_721])]) ).
fof(f17811,plain,
( ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(plus(X0,X1),sK4)
| int_less(X0,int_one)
| int_less(plus(X0,X1),int_one)
| ~ int_less(int_zero,X1) )
| ~ spl6_67
| ~ spl6_596 ),
inference(resolution,[],[f17806,f556]) ).
fof(f23594,plain,
( spl6_720
| spl6_99
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f17378,f1255,f1022,f23591]) ).
fof(f23591,plain,
( spl6_720
<=> n = sK5(int_zero,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_720])]) ).
fof(f1022,plain,
( spl6_99
<=> int_less(n,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_99])]) ).
fof(f1255,plain,
( spl6_117
<=> ! [X0] :
( sK5(int_zero,X0) = X0
| int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_117])]) ).
fof(f17378,plain,
( n = sK5(int_zero,n)
| spl6_99
| ~ spl6_117 ),
inference(resolution,[],[f1023,f1256]) ).
fof(f1256,plain,
( ! [X0] :
( int_less(X0,int_one)
| sK5(int_zero,X0) = X0 )
| ~ spl6_117 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1023,plain,
( ~ int_less(n,int_one)
| spl6_99 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f23589,plain,
( spl6_719
| ~ spl6_17
| ~ spl6_330 ),
inference(avatar_split_clause,[],[f12915,f8078,f155,f23586]) ).
fof(f23586,plain,
( spl6_719
<=> int_leq(int_one,sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_719])]) ).
fof(f155,plain,
( spl6_17
<=> ! [X0] :
( int_leq(int_one,X0)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).
fof(f8078,plain,
( spl6_330
<=> int_less(int_zero,sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_330])]) ).
fof(f12915,plain,
( int_leq(int_one,sK5(sK1,sK2))
| ~ spl6_17
| ~ spl6_330 ),
inference(resolution,[],[f8079,f156]) ).
fof(f156,plain,
( ! [X0] :
( ~ int_less(int_zero,X0)
| int_leq(int_one,X0) )
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f8079,plain,
( int_less(int_zero,sK5(sK1,sK2))
| ~ spl6_330 ),
inference(avatar_component_clause,[],[f8078]) ).
fof(f23545,plain,
( spl6_80
| ~ spl6_277
| ~ spl6_492 ),
inference(avatar_split_clause,[],[f15004,f12284,f6569,f750]) ).
fof(f750,plain,
( spl6_80
<=> int_leq(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_80])]) ).
fof(f6569,plain,
( spl6_277
<=> ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(X0,sK5(sK1,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_277])]) ).
fof(f12284,plain,
( spl6_492
<=> int_leq(sK1,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_492])]) ).
fof(f15004,plain,
( int_leq(sK1,sK3)
| ~ spl6_277
| ~ spl6_492 ),
inference(resolution,[],[f12286,f6570]) ).
fof(f6570,plain,
( ! [X0] :
( ~ int_leq(X0,sK5(sK1,sK3))
| int_leq(X0,sK3) )
| ~ spl6_277 ),
inference(avatar_component_clause,[],[f6569]) ).
fof(f12286,plain,
( int_leq(sK1,sK5(sK1,sK3))
| ~ spl6_492 ),
inference(avatar_component_clause,[],[f12284]) ).
fof(f23319,plain,
( spl6_718
| ~ spl6_32
| ~ spl6_504 ),
inference(avatar_split_clause,[],[f23162,f12652,f268,f23317]) ).
fof(f23317,plain,
( spl6_718
<=> ! [X0] :
( ~ int_leq(plus(X0,sK1),sK4)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_718])]) ).
fof(f12652,plain,
( spl6_504
<=> ! [X0] :
( ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_leq(plus(X0,sK1),n)
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_504])]) ).
fof(f23162,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),sK4)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_less(sK3,X0) )
| ~ spl6_32
| ~ spl6_504 ),
inference(forward_demodulation,[],[f12653,f270]) ).
fof(f12653,plain,
( ! [X0] :
( ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_leq(plus(X0,sK1),n)
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_less(sK3,X0) )
| ~ spl6_504 ),
inference(avatar_component_clause,[],[f12652]) ).
fof(f23315,plain,
( spl6_717
| ~ spl6_32
| ~ spl6_705 ),
inference(avatar_split_clause,[],[f23160,f23157,f268,f23313]) ).
fof(f23313,plain,
( spl6_717
<=> ! [X0] :
( ~ int_leq(plus(X0,int_one),sK4)
| ~ int_leq(sK1,plus(X0,int_one))
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_717])]) ).
fof(f23157,plain,
( spl6_705
<=> ! [X0] :
( ~ int_leq(sK1,plus(X0,int_one))
| ~ int_leq(plus(X0,int_one),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_705])]) ).
fof(f23160,plain,
( ! [X0] :
( ~ int_leq(plus(X0,int_one),sK4)
| ~ int_leq(sK1,plus(X0,int_one))
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_32
| ~ spl6_705 ),
inference(forward_demodulation,[],[f23158,f270]) ).
fof(f23158,plain,
( ! [X0] :
( ~ int_leq(sK1,plus(X0,int_one))
| ~ int_leq(plus(X0,int_one),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_705 ),
inference(avatar_component_clause,[],[f23157]) ).
fof(f23281,plain,
( spl6_716
| ~ spl6_96
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18413,f17528,f985,f23279]) ).
fof(f23279,plain,
( spl6_716
<=> ! [X0] :
( ~ int_leq(plus(X0,sK3),n)
| ~ int_leq(int_one,plus(X0,sK3))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_716])]) ).
fof(f17528,plain,
( spl6_587
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_587])]) ).
fof(f18413,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK3),n)
| ~ int_leq(int_one,plus(X0,sK3))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK3,X0) )
| ~ spl6_96
| ~ spl6_587 ),
inference(superposition,[],[f17529,f986]) ).
fof(f17529,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_587 ),
inference(avatar_component_clause,[],[f17528]) ).
fof(f23276,plain,
( spl6_715
| ~ spl6_154
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18412,f17528,f1669,f23274]) ).
fof(f23274,plain,
( spl6_715
<=> ! [X0] :
( ~ int_leq(plus(X0,sK1),n)
| ~ int_leq(int_one,plus(X0,sK1))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_715])]) ).
fof(f18412,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),n)
| ~ int_leq(int_one,plus(X0,sK1))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_less(sK3,X0) )
| ~ spl6_154
| ~ spl6_587 ),
inference(superposition,[],[f17529,f1670]) ).
fof(f23271,plain,
( spl6_714
| ~ spl6_153
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18411,f17528,f1665,f23269]) ).
fof(f23269,plain,
( spl6_714
<=> ! [X0] :
( ~ int_leq(plus(X0,int_one),n)
| ~ int_leq(int_one,plus(X0,int_one))
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_714])]) ).
fof(f18411,plain,
( ! [X0] :
( ~ int_leq(plus(X0,int_one),n)
| ~ int_leq(int_one,plus(X0,int_one))
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_153
| ~ spl6_587 ),
inference(superposition,[],[f17529,f1666]) ).
fof(f23216,plain,
( ~ spl6_368
| spl6_713
| ~ spl6_15
| ~ spl6_607 ),
inference(avatar_split_clause,[],[f18199,f18173,f146,f23214,f9265]) ).
fof(f9265,plain,
( spl6_368
<=> int_leq(int_zero,int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_368])]) ).
fof(f23214,plain,
( spl6_713
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_less(int_one,X0)
| ~ int_leq(X1,sK4)
| real_one = a(X0,X0)
| ~ int_leq(int_one,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_713])]) ).
fof(f146,plain,
( spl6_15
<=> ! [X0] : plus(X0,int_zero) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f18199,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X1)
| real_one = a(X0,X0)
| ~ int_leq(X1,sK4)
| ~ int_leq(int_zero,int_zero)
| ~ int_less(int_one,X0) )
| ~ spl6_15
| ~ spl6_607 ),
inference(superposition,[],[f18174,f147]) ).
fof(f147,plain,
( ! [X0] : plus(X0,int_zero) = X0
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f23212,plain,
( spl6_712
| ~ spl6_96
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17546,f17533,f985,f23210]) ).
fof(f23210,plain,
( spl6_712
<=> ! [X0] :
( ~ int_leq(plus(X0,sK3),sK4)
| ~ int_leq(int_one,plus(X0,sK3))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_712])]) ).
fof(f17533,plain,
( spl6_588
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_588])]) ).
fof(f17546,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK3),sK4)
| ~ int_leq(int_one,plus(X0,sK3))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK3,X0) )
| ~ spl6_96
| ~ spl6_588 ),
inference(superposition,[],[f17534,f986]) ).
fof(f17534,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_588 ),
inference(avatar_component_clause,[],[f17533]) ).
fof(f23208,plain,
( spl6_711
| ~ spl6_154
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17545,f17533,f1669,f23206]) ).
fof(f23206,plain,
( spl6_711
<=> ! [X0] :
( ~ int_leq(plus(X0,sK1),sK4)
| ~ int_leq(int_one,plus(X0,sK1))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_711])]) ).
fof(f17545,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),sK4)
| ~ int_leq(int_one,plus(X0,sK1))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_less(sK3,X0) )
| ~ spl6_154
| ~ spl6_588 ),
inference(superposition,[],[f17534,f1670]) ).
fof(f23204,plain,
( spl6_710
| ~ spl6_153
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17544,f17533,f1665,f23202]) ).
fof(f23202,plain,
( spl6_710
<=> ! [X0] :
( ~ int_leq(plus(X0,int_one),sK4)
| ~ int_leq(int_one,plus(X0,int_one))
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_710])]) ).
fof(f17544,plain,
( ! [X0] :
( ~ int_leq(plus(X0,int_one),sK4)
| ~ int_leq(int_one,plus(X0,int_one))
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_153
| ~ spl6_588 ),
inference(superposition,[],[f17534,f1666]) ).
fof(f23200,plain,
( spl6_709
| ~ spl6_74
| ~ spl6_585 ),
inference(avatar_split_clause,[],[f17459,f17446,f625,f23198]) ).
fof(f23198,plain,
( spl6_709
<=> ! [X0,X1] :
( int_less(plus(X0,X1),int_one)
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_709])]) ).
fof(f17446,plain,
( spl6_585
<=> ! [X0] :
( real_one = a(X0,X0)
| int_less(X0,int_one)
| ~ int_leq(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_585])]) ).
fof(f17459,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),int_one)
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,sK1) )
| ~ spl6_74
| ~ spl6_585 ),
inference(resolution,[],[f17447,f626]) ).
fof(f17447,plain,
( ! [X0] :
( ~ int_leq(X0,sK1)
| int_less(X0,int_one)
| real_one = a(X0,X0) )
| ~ spl6_585 ),
inference(avatar_component_clause,[],[f17446]) ).
fof(f23196,plain,
( spl6_708
| ~ spl6_139
| ~ spl6_585 ),
inference(avatar_split_clause,[],[f17458,f17446,f1598,f23194]) ).
fof(f23194,plain,
( spl6_708
<=> ! [X0,X1] :
( int_less(plus(X0,X1),int_one)
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X1,sK1)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_708])]) ).
fof(f17458,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),int_one)
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X1,sK1)
| ~ int_less(X0,int_zero) )
| ~ spl6_139
| ~ spl6_585 ),
inference(resolution,[],[f17447,f1599]) ).
fof(f23191,plain,
( spl6_707
| ~ spl6_148
| ~ spl6_585 ),
inference(avatar_split_clause,[],[f17457,f17446,f1644,f23189]) ).
fof(f23189,plain,
( spl6_707
<=> ! [X0,X1] :
( int_less(plus(X0,X1),int_one)
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X0,int_zero)
| ~ int_less(X1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_707])]) ).
fof(f17457,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),int_one)
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X0,int_zero)
| ~ int_less(X1,sK1) )
| ~ spl6_148
| ~ spl6_585 ),
inference(resolution,[],[f17447,f1645]) ).
fof(f23187,plain,
( spl6_706
| ~ spl6_151
| ~ spl6_585 ),
inference(avatar_split_clause,[],[f17456,f17446,f1657,f23185]) ).
fof(f23185,plain,
( spl6_706
<=> ! [X0,X1] :
( int_less(plus(X0,X1),int_one)
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X0,sK1)
| ~ int_less(X1,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_706])]) ).
fof(f17456,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),int_one)
| real_one = a(plus(X0,X1),plus(X0,X1))
| ~ int_leq(X0,sK1)
| ~ int_less(X1,int_zero) )
| ~ spl6_151
| ~ spl6_585 ),
inference(resolution,[],[f17447,f1658]) ).
fof(f23161,plain,
( spl6_504
| ~ spl6_154
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8707,f8684,f1669,f12652]) ).
fof(f8684,plain,
( spl6_345
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_345])]) ).
fof(f8707,plain,
( ! [X0] :
( ~ int_leq(sK1,plus(X0,sK1))
| ~ int_leq(plus(X0,sK1),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_less(sK3,X0) )
| ~ spl6_154
| ~ spl6_345 ),
inference(superposition,[],[f8685,f1670]) ).
fof(f8685,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_345 ),
inference(avatar_component_clause,[],[f8684]) ).
fof(f23159,plain,
( spl6_705
| ~ spl6_153
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8706,f8684,f1665,f23157]) ).
fof(f8706,plain,
( ! [X0] :
( ~ int_leq(sK1,plus(X0,int_one))
| ~ int_leq(plus(X0,int_one),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_153
| ~ spl6_345 ),
inference(superposition,[],[f8685,f1666]) ).
fof(f23155,plain,
( spl6_704
| ~ spl6_153
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7776,f7761,f1665,f23153]) ).
fof(f23153,plain,
( spl6_704
<=> ! [X0] :
( ~ int_leq(sK1,plus(X0,int_one))
| ~ int_leq(plus(X0,int_one),sK2)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_704])]) ).
fof(f7761,plain,
( spl6_319
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_319])]) ).
fof(f7776,plain,
( ! [X0] :
( ~ int_leq(sK1,plus(X0,int_one))
| ~ int_leq(plus(X0,int_one),sK2)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_153
| ~ spl6_319 ),
inference(superposition,[],[f7762,f1666]) ).
fof(f7762,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_319 ),
inference(avatar_component_clause,[],[f7761]) ).
fof(f23151,plain,
( ~ spl6_10
| ~ spl6_582
| spl6_703
| ~ spl6_302
| ~ spl6_363
| ~ spl6_602 ),
inference(avatar_split_clause,[],[f17997,f17991,f9138,f7115,f23148,f17259,f117]) ).
fof(f117,plain,
( spl6_10
<=> int_less(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f23148,plain,
( spl6_703
<=> real_one = a(sK5(sK1,sK2),sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_703])]) ).
fof(f9138,plain,
( spl6_363
<=> int_leq(sK5(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_363])]) ).
fof(f17997,plain,
( ~ int_leq(int_one,sK2)
| real_one = a(sK5(sK1,sK2),sK5(sK1,sK2))
| ~ int_leq(sK2,sK4)
| ~ int_less(sK1,sK2)
| ~ spl6_363
| ~ spl6_602 ),
inference(resolution,[],[f17992,f9139]) ).
fof(f9139,plain,
( int_leq(sK5(sK1,sK2),sK2)
| ~ spl6_363 ),
inference(avatar_component_clause,[],[f9138]) ).
fof(f23124,plain,
( ~ spl6_666
| spl6_702
| ~ spl6_567
| ~ spl6_583 ),
inference(avatar_split_clause,[],[f17313,f17285,f14990,f23121,f21005]) ).
fof(f23121,plain,
( spl6_702
<=> a(plus(sK4,sK5(sK1,sK2)),sK4) = qr(plus(sK4,sK5(sK1,sK2)),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_702])]) ).
fof(f14990,plain,
( spl6_567
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| a(plus(X0,sK5(sK1,sK2)),X0) = qr(plus(X0,sK5(sK1,sK2)),X0)
| ~ int_leq(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_567])]) ).
fof(f17313,plain,
( a(plus(sK4,sK5(sK1,sK2)),sK4) = qr(plus(sK4,sK5(sK1,sK2)),sK4)
| ~ int_leq(sK4,sK1)
| ~ spl6_567
| ~ spl6_583 ),
inference(resolution,[],[f17287,f14991]) ).
fof(f14991,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| a(plus(X0,sK5(sK1,sK2)),X0) = qr(plus(X0,sK5(sK1,sK2)),X0)
| ~ int_leq(X0,sK1) )
| ~ spl6_567 ),
inference(avatar_component_clause,[],[f14990]) ).
fof(f17287,plain,
( int_leq(sK1,sK4)
| ~ spl6_583 ),
inference(avatar_component_clause,[],[f17285]) ).
fof(f22627,plain,
( spl6_701
| ~ spl6_74
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18406,f17528,f625,f22625]) ).
fof(f22625,plain,
( spl6_701
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_701])]) ).
fof(f18406,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,n) )
| ~ spl6_74
| ~ spl6_587 ),
inference(resolution,[],[f17529,f626]) ).
fof(f22622,plain,
( spl6_700
| ~ spl6_139
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18405,f17528,f1598,f22620]) ).
fof(f22620,plain,
( spl6_700
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X1,n)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_700])]) ).
fof(f18405,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X1,n)
| ~ int_less(X0,int_zero) )
| ~ spl6_139
| ~ spl6_587 ),
inference(resolution,[],[f17529,f1599]) ).
fof(f22617,plain,
( spl6_699
| ~ spl6_148
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18404,f17528,f1644,f22615]) ).
fof(f22615,plain,
( spl6_699
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,int_zero)
| ~ int_less(X1,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_699])]) ).
fof(f18404,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_148
| ~ spl6_587 ),
inference(resolution,[],[f17529,f1645]) ).
fof(f22612,plain,
( spl6_698
| ~ spl6_151
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18403,f17528,f1657,f22610]) ).
fof(f22610,plain,
( spl6_698
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,n)
| ~ int_less(X1,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_698])]) ).
fof(f18403,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,n)
| ~ int_less(X1,int_zero) )
| ~ spl6_151
| ~ spl6_587 ),
inference(resolution,[],[f17529,f1658]) ).
fof(f22590,plain,
( spl6_697
| ~ spl6_32
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f20891,f4332,f268,f22587]) ).
fof(f4332,plain,
( spl6_240
<=> int_less(int_one,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_240])]) ).
fof(f20891,plain,
( int_less(int_one,sK4)
| ~ spl6_32
| ~ spl6_240 ),
inference(superposition,[],[f4333,f270]) ).
fof(f4333,plain,
( int_less(int_one,n)
| ~ spl6_240 ),
inference(avatar_component_clause,[],[f4332]) ).
fof(f22585,plain,
( ~ spl6_227
| spl6_696
| spl6_4
| ~ spl6_12
| ~ spl6_90
| ~ spl6_605 ),
inference(avatar_split_clause,[],[f18083,f18044,f854,f129,f89,f22583,f4216]) ).
fof(f22583,plain,
( spl6_696
<=> ! [X0] :
( ~ int_leq(sK3,X0)
| ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_696])]) ).
fof(f89,plain,
( spl6_4
<=> real_zero = real_one ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f129,plain,
( spl6_12
<=> real_zero = a(sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f854,plain,
( spl6_90
<=> sK3 = plus(int_one,sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_90])]) ).
fof(f18083,plain,
( ! [X0] :
( real_zero = real_one
| ~ int_leq(sK3,X0)
| ~ int_leq(int_one,X0)
| ~ int_leq(X0,sK4)
| ~ int_less(int_zero,sK5(int_one,sK3)) )
| ~ spl6_12
| ~ spl6_90
| ~ spl6_605 ),
inference(forward_demodulation,[],[f18069,f130]) ).
fof(f130,plain,
( real_zero = a(sK3,sK3)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f18069,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| ~ int_leq(int_one,X0)
| real_one = a(sK3,sK3)
| ~ int_leq(X0,sK4)
| ~ int_less(int_zero,sK5(int_one,sK3)) )
| ~ spl6_90
| ~ spl6_605 ),
inference(superposition,[],[f18045,f856]) ).
fof(f856,plain,
( sK3 = plus(int_one,sK5(int_one,sK3))
| ~ spl6_90 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f22581,plain,
( spl6_695
| ~ spl6_19
| ~ spl6_32
| ~ spl6_352 ),
inference(avatar_split_clause,[],[f17882,f8826,f268,f163,f22579]) ).
fof(f22579,plain,
( spl6_695
<=> ! [X0,X1] :
( int_less(sK4,X1)
| int_less(X0,sK1)
| real_one = a(X0,X0)
| ~ int_leq(X0,X1)
| int_less(X1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_695])]) ).
fof(f8826,plain,
( spl6_352
<=> ! [X0,X1] :
( int_less(X0,sK1)
| ~ int_leq(X1,n)
| real_one = a(X0,X0)
| ~ int_leq(X0,X1)
| int_less(X1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_352])]) ).
fof(f17882,plain,
( ! [X0,X1] :
( int_less(sK4,X1)
| int_less(X0,sK1)
| real_one = a(X0,X0)
| ~ int_leq(X0,X1)
| int_less(X1,sK1) )
| ~ spl6_19
| ~ spl6_32
| ~ spl6_352 ),
inference(forward_demodulation,[],[f17789,f270]) ).
fof(f17789,plain,
( ! [X0,X1] :
( int_less(X0,sK1)
| real_one = a(X0,X0)
| ~ int_leq(X0,X1)
| int_less(X1,sK1)
| int_less(n,X1) )
| ~ spl6_19
| ~ spl6_352 ),
inference(resolution,[],[f8827,f164]) ).
fof(f8827,plain,
( ! [X0,X1] :
( ~ int_leq(X1,n)
| int_less(X0,sK1)
| real_one = a(X0,X0)
| ~ int_leq(X0,X1)
| int_less(X1,sK1) )
| ~ spl6_352 ),
inference(avatar_component_clause,[],[f8826]) ).
fof(f22577,plain,
( spl6_694
| ~ spl6_19
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17809,f17805,f163,f22575]) ).
fof(f22575,plain,
( spl6_694
<=> ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(X1,sK4)
| int_less(X0,int_one)
| int_less(X1,int_one)
| int_less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_694])]) ).
fof(f17809,plain,
( ! [X0,X1] :
( real_one = a(X0,X0)
| ~ int_leq(X1,sK4)
| int_less(X0,int_one)
| int_less(X1,int_one)
| int_less(X1,X0) )
| ~ spl6_19
| ~ spl6_596 ),
inference(resolution,[],[f17806,f164]) ).
fof(f22573,plain,
( spl6_693
| ~ spl6_32
| ~ spl6_352 ),
inference(avatar_split_clause,[],[f17798,f8826,f268,f22571]) ).
fof(f22571,plain,
( spl6_693
<=> ! [X0,X1] :
( ~ int_leq(X0,sK4)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_693])]) ).
fof(f17798,plain,
( ! [X0,X1] :
( ~ int_leq(X0,sK4)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X0,sK1) )
| ~ spl6_32
| ~ spl6_352 ),
inference(superposition,[],[f8827,f270]) ).
fof(f22569,plain,
( spl6_692
| ~ spl6_74
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17539,f17533,f625,f22567]) ).
fof(f22567,plain,
( spl6_692
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_692])]) ).
fof(f17539,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,sK4) )
| ~ spl6_74
| ~ spl6_588 ),
inference(resolution,[],[f17534,f626]) ).
fof(f22565,plain,
( spl6_691
| ~ spl6_139
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17538,f17533,f1598,f22563]) ).
fof(f22563,plain,
( spl6_691
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X1,sK4)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_691])]) ).
fof(f17538,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X1,sK4)
| ~ int_less(X0,int_zero) )
| ~ spl6_139
| ~ spl6_588 ),
inference(resolution,[],[f17534,f1599]) ).
fof(f22561,plain,
( spl6_690
| ~ spl6_148
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17537,f17533,f1644,f22559]) ).
fof(f22559,plain,
( spl6_690
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,int_zero)
| ~ int_less(X1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_690])]) ).
fof(f17537,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,int_zero)
| ~ int_less(X1,sK4) )
| ~ spl6_148
| ~ spl6_588 ),
inference(resolution,[],[f17534,f1645]) ).
fof(f22557,plain,
( spl6_689
| ~ spl6_151
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17536,f17533,f1657,f22555]) ).
fof(f22555,plain,
( spl6_689
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,sK4)
| ~ int_less(X1,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_689])]) ).
fof(f17536,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,sK4)
| ~ int_less(X1,int_zero) )
| ~ spl6_151
| ~ spl6_588 ),
inference(resolution,[],[f17534,f1658]) ).
fof(f22318,plain,
( spl6_688
| ~ spl6_32
| ~ spl6_680 ),
inference(avatar_split_clause,[],[f22223,f22220,f268,f22316]) ).
fof(f22316,plain,
( spl6_688
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_688])]) ).
fof(f22220,plain,
( spl6_680
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_680])]) ).
fof(f22223,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_32
| ~ spl6_680 ),
inference(forward_demodulation,[],[f22221,f270]) ).
fof(f22221,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_680 ),
inference(avatar_component_clause,[],[f22220]) ).
fof(f22314,plain,
( spl6_687
| ~ spl6_32
| ~ spl6_677 ),
inference(avatar_split_clause,[],[f22199,f22196,f268,f22312]) ).
fof(f22312,plain,
( spl6_687
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_687])]) ).
fof(f22196,plain,
( spl6_677
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_677])]) ).
fof(f22199,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_32
| ~ spl6_677 ),
inference(forward_demodulation,[],[f22197,f270]) ).
fof(f22197,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_677 ),
inference(avatar_component_clause,[],[f22196]) ).
fof(f22309,plain,
( spl6_686
| ~ spl6_19
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18407,f17528,f163,f22307]) ).
fof(f22307,plain,
( spl6_686
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(n,plus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_686])]) ).
fof(f18407,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(n,plus(X0,X1)) )
| ~ spl6_19
| ~ spl6_587 ),
inference(resolution,[],[f17529,f164]) ).
fof(f22305,plain,
( spl6_685
| ~ spl6_21
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17542,f17533,f179,f22303]) ).
fof(f22303,plain,
( spl6_685
<=> ! [X0,X1] :
( ~ int_leq(plus(X1,X0),sK4)
| ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_685])]) ).
fof(f17542,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X1,X0),sK4)
| ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_21
| ~ spl6_588 ),
inference(superposition,[],[f17534,f180]) ).
fof(f22273,plain,
( spl6_643
| ~ spl6_20
| ~ spl6_626 ),
inference(avatar_split_clause,[],[f20031,f19431,f167,f20113]) ).
fof(f20113,plain,
( spl6_643
<=> int_leq(int_zero,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_643])]) ).
fof(f19431,plain,
( spl6_626
<=> int_less(int_zero,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_626])]) ).
fof(f20031,plain,
( int_leq(int_zero,sK4)
| ~ spl6_20
| ~ spl6_626 ),
inference(resolution,[],[f19432,f168]) ).
fof(f19432,plain,
( int_less(int_zero,sK4)
| ~ spl6_626 ),
inference(avatar_component_clause,[],[f19431]) ).
fof(f22272,plain,
( spl6_684
| ~ spl6_19
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17540,f17533,f163,f22270]) ).
fof(f22270,plain,
( spl6_684
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(sK4,plus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_684])]) ).
fof(f17540,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(sK4,plus(X0,X1)) )
| ~ spl6_19
| ~ spl6_588 ),
inference(resolution,[],[f17534,f164]) ).
fof(f22238,plain,
( spl6_452
| ~ spl6_19
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f17469,f7761,f163,f10912]) ).
fof(f10912,plain,
( spl6_452
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(plus(X0,X1),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_452])]) ).
fof(f17469,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(plus(X0,X1),sK1) )
| ~ spl6_19
| ~ spl6_319 ),
inference(resolution,[],[f7762,f164]) ).
fof(f22237,plain,
( spl6_683
| ~ spl6_62
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f17276,f3196,f521,f22235]) ).
fof(f22235,plain,
( spl6_683
<=> ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(X0,sK5(sK4,sK3)) = sK5(int_zero,sK5(X0,sK5(sK4,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_683])]) ).
fof(f3196,plain,
( spl6_196
<=> ! [X2,X0,X1] :
( sK5(X0,sK5(X1,X2)) = sK5(int_zero,sK5(X0,sK5(X1,X2)))
| ~ int_less(X0,int_zero)
| ~ int_less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_196])]) ).
fof(f17276,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(X0,sK5(sK4,sK3)) = sK5(int_zero,sK5(X0,sK5(sK4,sK3))) )
| ~ spl6_62
| ~ spl6_196 ),
inference(resolution,[],[f523,f3197]) ).
fof(f3197,plain,
( ! [X2,X0,X1] :
( ~ int_less(X1,X2)
| ~ int_less(X0,int_zero)
| sK5(X0,sK5(X1,X2)) = sK5(int_zero,sK5(X0,sK5(X1,X2))) )
| ~ spl6_196 ),
inference(avatar_component_clause,[],[f3196]) ).
fof(f22232,plain,
( spl6_682
| ~ spl6_182
| ~ spl6_578 ),
inference(avatar_split_clause,[],[f17196,f17048,f2645,f22230]) ).
fof(f22230,plain,
( spl6_682
<=> ! [X0,X1] :
( int_less(plus(X0,X1),n)
| ~ int_less(X0,sK4)
| ~ int_leq(X1,int_zero)
| plus(X0,X1) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_682])]) ).
fof(f2645,plain,
( spl6_182
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,int_zero)
| ~ int_less(X1,X2)
| int_less(plus(X1,X0),X2)
| plus(X1,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_182])]) ).
fof(f17048,plain,
( spl6_578
<=> ! [X0] :
( int_less(X0,n)
| ~ int_less(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_578])]) ).
fof(f17196,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),n)
| ~ int_less(X0,sK4)
| ~ int_leq(X1,int_zero)
| plus(X0,X1) = sK4 )
| ~ spl6_182
| ~ spl6_578 ),
inference(resolution,[],[f17049,f2646]) ).
fof(f2646,plain,
( ! [X2,X0,X1] :
( int_less(plus(X1,X0),X2)
| ~ int_less(X1,X2)
| ~ int_leq(X0,int_zero)
| plus(X1,X0) = X2 )
| ~ spl6_182 ),
inference(avatar_component_clause,[],[f2645]) ).
fof(f17049,plain,
( ! [X0] :
( ~ int_less(X0,sK4)
| int_less(X0,n) )
| ~ spl6_578 ),
inference(avatar_component_clause,[],[f17048]) ).
fof(f22227,plain,
( spl6_681
| ~ spl6_187
| ~ spl6_578 ),
inference(avatar_split_clause,[],[f17195,f17048,f2670,f22225]) ).
fof(f22225,plain,
( spl6_681
<=> ! [X0,X1] :
( int_less(plus(X0,X1),n)
| ~ int_less(X0,int_zero)
| ~ int_leq(X1,sK4)
| plus(X0,X1) = sK4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_681])]) ).
fof(f2670,plain,
( spl6_187
<=> ! [X2,X0,X1] :
( int_less(plus(X1,X2),X0)
| ~ int_less(X1,int_zero)
| ~ int_leq(X2,X0)
| plus(X1,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_187])]) ).
fof(f17195,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),n)
| ~ int_less(X0,int_zero)
| ~ int_leq(X1,sK4)
| plus(X0,X1) = sK4 )
| ~ spl6_187
| ~ spl6_578 ),
inference(resolution,[],[f17049,f2671]) ).
fof(f2671,plain,
( ! [X2,X0,X1] :
( int_less(plus(X1,X2),X0)
| ~ int_less(X1,int_zero)
| ~ int_leq(X2,X0)
| plus(X1,X2) = X0 )
| ~ spl6_187 ),
inference(avatar_component_clause,[],[f2670]) ).
fof(f22222,plain,
( spl6_680
| ~ spl6_48
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f16627,f1594,f412,f22220]) ).
fof(f412,plain,
( spl6_48
<=> ! [X0] :
( ~ int_leq(int_one,X0)
| ~ int_leq(sK3,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_48])]) ).
fof(f16627,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_48
| ~ spl6_138 ),
inference(resolution,[],[f413,f1595]) ).
fof(f413,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| ~ int_leq(int_one,X0)
| ~ int_leq(X0,n) )
| ~ spl6_48 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f22217,plain,
( spl6_679
| ~ spl6_48
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f16626,f1614,f412,f22215]) ).
fof(f22215,plain,
( spl6_679
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_less(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_679])]) ).
fof(f16626,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_less(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_48
| ~ spl6_143 ),
inference(resolution,[],[f413,f1615]) ).
fof(f22212,plain,
( spl6_678
| ~ spl6_48
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f16625,f1629,f412,f22210]) ).
fof(f22210,plain,
( spl6_678
<=> ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_678])]) ).
fof(f16625,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK3,X1) )
| ~ spl6_48
| ~ spl6_145 ),
inference(resolution,[],[f413,f1630]) ).
fof(f22200,plain,
( ~ spl6_619
| ~ spl6_528
| ~ spl6_626 ),
inference(avatar_split_clause,[],[f20030,f19431,f13445,f19152]) ).
fof(f19152,plain,
( spl6_619
<=> int_less(sK4,int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_619])]) ).
fof(f13445,plain,
( spl6_528
<=> ! [X0] :
( ~ int_less(X0,int_zero)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_528])]) ).
fof(f20030,plain,
( ~ int_less(sK4,int_zero)
| ~ spl6_528
| ~ spl6_626 ),
inference(resolution,[],[f19432,f13446]) ).
fof(f13446,plain,
( ! [X0] :
( ~ int_less(int_zero,X0)
| ~ int_less(X0,int_zero) )
| ~ spl6_528 ),
inference(avatar_component_clause,[],[f13445]) ).
fof(f22198,plain,
( spl6_677
| ~ spl6_48
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f16624,f1661,f412,f22196]) ).
fof(f16624,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_48
| ~ spl6_152 ),
inference(resolution,[],[f413,f1662]) ).
fof(f21984,plain,
( ~ spl6_666
| spl6_676
| ~ spl6_579
| ~ spl6_608 ),
inference(avatar_split_clause,[],[f21960,f18229,f17168,f21981,f21005]) ).
fof(f21981,plain,
( spl6_676
<=> real_zero = a(sK4,plus(sK4,sK5(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_676])]) ).
fof(f21960,plain,
( real_zero = a(sK4,plus(sK4,sK5(sK1,sK2)))
| ~ int_leq(sK4,sK1)
| ~ spl6_579
| ~ spl6_608 ),
inference(resolution,[],[f17169,f18230]) ).
fof(f17169,plain,
( int_leq(int_one,sK4)
| ~ spl6_579 ),
inference(avatar_component_clause,[],[f17168]) ).
fof(f21958,plain,
( spl6_579
| ~ spl6_17
| ~ spl6_626 ),
inference(avatar_split_clause,[],[f20019,f19431,f155,f17168]) ).
fof(f20019,plain,
( int_leq(int_one,sK4)
| ~ spl6_17
| ~ spl6_626 ),
inference(resolution,[],[f19432,f156]) ).
fof(f21647,plain,
( spl6_675
| ~ spl6_62
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f17275,f3104,f521,f21645]) ).
fof(f21645,plain,
( spl6_675
<=> ! [X0] : plus(X0,sK5(sK4,sK3)) = plus(X0,sK5(X0,plus(X0,sK5(sK4,sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_675])]) ).
fof(f3104,plain,
( spl6_192
<=> ! [X2,X0,X1] :
( plus(X0,sK5(X1,X2)) = plus(X0,sK5(X0,plus(X0,sK5(X1,X2))))
| ~ int_less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_192])]) ).
fof(f17275,plain,
( ! [X0] : plus(X0,sK5(sK4,sK3)) = plus(X0,sK5(X0,plus(X0,sK5(sK4,sK3))))
| ~ spl6_62
| ~ spl6_192 ),
inference(resolution,[],[f523,f3105]) ).
fof(f3105,plain,
( ! [X2,X0,X1] :
( ~ int_less(X1,X2)
| plus(X0,sK5(X1,X2)) = plus(X0,sK5(X0,plus(X0,sK5(X1,X2)))) )
| ~ spl6_192 ),
inference(avatar_component_clause,[],[f3104]) ).
fof(f21642,plain,
( spl6_674
| ~ spl6_180
| ~ spl6_578 ),
inference(avatar_split_clause,[],[f17184,f17048,f2603,f21640]) ).
fof(f21640,plain,
( spl6_674
<=> ! [X0] :
( int_less(X0,n)
| sK5(sK4,X0) = sK5(int_zero,sK5(sK4,X0))
| sK4 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_674])]) ).
fof(f2603,plain,
( spl6_180
<=> ! [X0,X1] :
( sK5(X0,X1) = sK5(int_zero,sK5(X0,X1))
| int_less(X1,X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_180])]) ).
fof(f17184,plain,
( ! [X0] :
( int_less(X0,n)
| sK5(sK4,X0) = sK5(int_zero,sK5(sK4,X0))
| sK4 = X0 )
| ~ spl6_180
| ~ spl6_578 ),
inference(resolution,[],[f17049,f2604]) ).
fof(f2604,plain,
( ! [X0,X1] :
( int_less(X1,X0)
| sK5(X0,X1) = sK5(int_zero,sK5(X0,X1))
| X0 = X1 )
| ~ spl6_180 ),
inference(avatar_component_clause,[],[f2603]) ).
fof(f21580,plain,
( ~ spl6_673
| ~ spl6_32
| spl6_524 ),
inference(avatar_split_clause,[],[f17248,f13371,f268,f21577]) ).
fof(f13371,plain,
( spl6_524
<=> int_leq(n,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_524])]) ).
fof(f17248,plain,
( ~ int_leq(sK4,sK2)
| ~ spl6_32
| spl6_524 ),
inference(superposition,[],[f13373,f270]) ).
fof(f13373,plain,
( ~ int_leq(n,sK2)
| spl6_524 ),
inference(avatar_component_clause,[],[f13371]) ).
fof(f21512,plain,
( spl6_409
| ~ spl6_73
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f17491,f7761,f621,f9937]) ).
fof(f9937,plain,
( spl6_409
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_409])]) ).
fof(f17491,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_319 ),
inference(duplicate_literal_removal,[],[f17467]) ).
fof(f17467,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_319 ),
inference(resolution,[],[f7762,f622]) ).
fof(f21511,plain,
( spl6_672
| ~ spl6_62
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f17274,f2981,f521,f21509]) ).
fof(f21509,plain,
( spl6_672
<=> ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(sK4,sK3) = plus(X0,sK5(X0,sK5(sK4,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_672])]) ).
fof(f2981,plain,
( spl6_189
<=> ! [X2,X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_less(X1,X2)
| sK5(X1,X2) = plus(X0,sK5(X0,sK5(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_189])]) ).
fof(f17274,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(sK4,sK3) = plus(X0,sK5(X0,sK5(sK4,sK3))) )
| ~ spl6_62
| ~ spl6_189 ),
inference(resolution,[],[f523,f2982]) ).
fof(f2982,plain,
( ! [X2,X0,X1] :
( ~ int_less(X1,X2)
| ~ int_less(X0,int_zero)
| sK5(X1,X2) = plus(X0,sK5(X0,sK5(X1,X2))) )
| ~ spl6_189 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f21258,plain,
( spl6_671
| ~ spl6_32
| ~ spl6_299 ),
inference(avatar_split_clause,[],[f17234,f7058,f268,f21255]) ).
fof(f21255,plain,
( spl6_671
<=> int_leq(sK4,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_671])]) ).
fof(f7058,plain,
( spl6_299
<=> int_leq(n,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_299])]) ).
fof(f17234,plain,
( int_leq(sK4,int_one)
| ~ spl6_32
| ~ spl6_299 ),
inference(superposition,[],[f7060,f270]) ).
fof(f7060,plain,
( int_leq(n,int_one)
| ~ spl6_299 ),
inference(avatar_component_clause,[],[f7058]) ).
fof(f21074,plain,
( spl6_670
| ~ spl6_19
| ~ spl6_32
| ~ spl6_347 ),
inference(avatar_split_clause,[],[f17883,f8753,f268,f163,f21072]) ).
fof(f21072,plain,
( spl6_670
<=> ! [X0] :
( int_less(sK4,X0)
| int_less(X0,sK1)
| real_one = a(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_670])]) ).
fof(f8753,plain,
( spl6_347
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(X0,n)
| real_one = a(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_347])]) ).
fof(f17883,plain,
( ! [X0] :
( int_less(sK4,X0)
| int_less(X0,sK1)
| real_one = a(X0,X0) )
| ~ spl6_19
| ~ spl6_32
| ~ spl6_347 ),
inference(forward_demodulation,[],[f17761,f270]) ).
fof(f17761,plain,
( ! [X0] :
( int_less(X0,sK1)
| real_one = a(X0,X0)
| int_less(n,X0) )
| ~ spl6_19
| ~ spl6_347 ),
inference(resolution,[],[f8754,f164]) ).
fof(f8754,plain,
( ! [X0] :
( ~ int_leq(X0,n)
| int_less(X0,sK1)
| real_one = a(X0,X0) )
| ~ spl6_347 ),
inference(avatar_component_clause,[],[f8753]) ).
fof(f21070,plain,
( spl6_669
| ~ spl6_32
| ~ spl6_347 ),
inference(avatar_split_clause,[],[f17770,f8753,f268,f21068]) ).
fof(f21068,plain,
( spl6_669
<=> ! [X0] :
( ~ int_leq(X0,sK4)
| int_less(X0,sK1)
| real_one = a(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_669])]) ).
fof(f17770,plain,
( ! [X0] :
( ~ int_leq(X0,sK4)
| int_less(X0,sK1)
| real_one = a(X0,X0) )
| ~ spl6_32
| ~ spl6_347 ),
inference(superposition,[],[f8754,f270]) ).
fof(f21066,plain,
( spl6_668
| ~ spl6_32
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f17216,f1540,f268,f21064]) ).
fof(f21064,plain,
( spl6_668
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_one,X0)
| ~ int_leq(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_668])]) ).
fof(f1540,plain,
( spl6_135
<=> ! [X0,X1] :
( ~ int_leq(int_zero,X0)
| ~ int_less(int_one,X1)
| ~ int_leq(plus(X1,X0),n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_135])]) ).
fof(f17216,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_less(int_one,X0)
| ~ int_leq(int_zero,X1) )
| ~ spl6_32
| ~ spl6_135 ),
inference(superposition,[],[f1541,f270]) ).
fof(f1541,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X1,X0),n)
| ~ int_less(int_one,X1)
| ~ int_leq(int_zero,X0) )
| ~ spl6_135 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f21049,plain,
( spl6_667
| ~ spl6_32
| ~ spl6_610 ),
inference(avatar_split_clause,[],[f20928,f18387,f268,f21046]) ).
fof(f21046,plain,
( spl6_667
<=> sK5(sK4,sK4) = sK5(int_zero,sK5(sK4,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_667])]) ).
fof(f18387,plain,
( spl6_610
<=> sK5(sK4,n) = sK5(int_zero,sK5(sK4,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_610])]) ).
fof(f20928,plain,
( sK5(sK4,sK4) = sK5(int_zero,sK5(sK4,sK4))
| ~ spl6_32
| ~ spl6_610 ),
inference(superposition,[],[f18389,f270]) ).
fof(f18389,plain,
( sK5(sK4,n) = sK5(int_zero,sK5(sK4,n))
| ~ spl6_610 ),
inference(avatar_component_clause,[],[f18387]) ).
fof(f21008,plain,
( spl6_666
| ~ spl6_32
| ~ spl6_298 ),
inference(avatar_split_clause,[],[f17233,f7053,f268,f21005]) ).
fof(f7053,plain,
( spl6_298
<=> int_leq(n,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_298])]) ).
fof(f17233,plain,
( int_leq(sK4,sK1)
| ~ spl6_32
| ~ spl6_298 ),
inference(superposition,[],[f7055,f270]) ).
fof(f7055,plain,
( int_leq(n,sK1)
| ~ spl6_298 ),
inference(avatar_component_clause,[],[f7053]) ).
fof(f21002,plain,
( spl6_665
| ~ spl6_32
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f20924,f17202,f268,f20999]) ).
fof(f20999,plain,
( spl6_665
<=> sK4 = plus(sK4,sK5(sK4,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_665])]) ).
fof(f17202,plain,
( spl6_581
<=> n = plus(sK4,sK5(sK4,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_581])]) ).
fof(f20924,plain,
( sK4 = plus(sK4,sK5(sK4,sK4))
| ~ spl6_32
| ~ spl6_581 ),
inference(superposition,[],[f17204,f270]) ).
fof(f17204,plain,
( n = plus(sK4,sK5(sK4,n))
| ~ spl6_581 ),
inference(avatar_component_clause,[],[f17202]) ).
fof(f20996,plain,
( ~ spl6_664
| ~ spl6_32
| spl6_374 ),
inference(avatar_split_clause,[],[f17239,f9426,f268,f20993]) ).
fof(f20993,plain,
( spl6_664
<=> int_leq(sK5(sK1,sK2),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_664])]) ).
fof(f9426,plain,
( spl6_374
<=> int_leq(sK5(sK1,sK2),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_374])]) ).
fof(f17239,plain,
( ~ int_leq(sK5(sK1,sK2),sK4)
| ~ spl6_32
| spl6_374 ),
inference(superposition,[],[f9428,f270]) ).
fof(f9428,plain,
( ~ int_leq(sK5(sK1,sK2),n)
| spl6_374 ),
inference(avatar_component_clause,[],[f9426]) ).
fof(f20991,plain,
( spl6_663
| ~ spl6_32
| ~ spl6_348 ),
inference(avatar_split_clause,[],[f17238,f8772,f268,f20988]) ).
fof(f20988,plain,
( spl6_663
<=> real_one = a(sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_663])]) ).
fof(f8772,plain,
( spl6_348
<=> real_one = a(n,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_348])]) ).
fof(f17238,plain,
( real_one = a(sK4,sK4)
| ~ spl6_32
| ~ spl6_348 ),
inference(superposition,[],[f8774,f270]) ).
fof(f8774,plain,
( real_one = a(n,n)
| ~ spl6_348 ),
inference(avatar_component_clause,[],[f8772]) ).
fof(f20861,plain,
( ~ spl6_33
| ~ spl6_22
| spl6_628 ),
inference(avatar_split_clause,[],[f19484,f19453,f187,f272]) ).
fof(f272,plain,
( spl6_33
<=> int_less(sK4,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_33])]) ).
fof(f19453,plain,
( spl6_628
<=> int_less(int_zero,sK5(sK4,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_628])]) ).
fof(f19484,plain,
( ~ int_less(sK4,n)
| ~ spl6_22
| spl6_628 ),
inference(resolution,[],[f19455,f188]) ).
fof(f19455,plain,
( ~ int_less(int_zero,sK5(sK4,n))
| spl6_628 ),
inference(avatar_component_clause,[],[f19453]) ).
fof(f20748,plain,
( spl6_662
| ~ spl6_171
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18350,f17202,f2266,f20746]) ).
fof(f20746,plain,
( spl6_662
<=> ! [X0,X1] :
( int_leq(n,plus(X0,X1))
| ~ int_leq(sK4,X0)
| ~ int_less(sK5(sK4,n),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_662])]) ).
fof(f18350,plain,
( ! [X0,X1] :
( int_leq(n,plus(X0,X1))
| ~ int_leq(sK4,X0)
| ~ int_less(sK5(sK4,n),X1) )
| ~ spl6_171
| ~ spl6_581 ),
inference(superposition,[],[f2267,f17204]) ).
fof(f20744,plain,
( spl6_661
| ~ spl6_171
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18349,f17202,f2266,f20742]) ).
fof(f20742,plain,
( spl6_661
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),n)
| ~ int_leq(X0,sK4)
| ~ int_less(X1,sK5(sK4,n)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_661])]) ).
fof(f18349,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),n)
| ~ int_leq(X0,sK4)
| ~ int_less(X1,sK5(sK4,n)) )
| ~ spl6_171
| ~ spl6_581 ),
inference(superposition,[],[f2267,f17204]) ).
fof(f20740,plain,
( spl6_660
| ~ spl6_78
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18332,f17202,f698,f20738]) ).
fof(f20738,plain,
( spl6_660
<=> ! [X0,X1] :
( int_leq(n,plus(X0,X1))
| ~ int_leq(sK5(sK4,n),X0)
| ~ int_less(sK4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_660])]) ).
fof(f18332,plain,
( ! [X0,X1] :
( int_leq(n,plus(X0,X1))
| ~ int_leq(sK5(sK4,n),X0)
| ~ int_less(sK4,X1) )
| ~ spl6_78
| ~ spl6_581 ),
inference(superposition,[],[f699,f17204]) ).
fof(f20636,plain,
( spl6_301
| ~ spl6_7
| ~ spl6_618 ),
inference(avatar_split_clause,[],[f19321,f19148,f103,f7068]) ).
fof(f7068,plain,
( spl6_301
<=> int_less(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_301])]) ).
fof(f19148,plain,
( spl6_618
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_618])]) ).
fof(f19321,plain,
( int_less(sK2,sK1)
| ~ spl6_7
| ~ spl6_618 ),
inference(resolution,[],[f19149,f104]) ).
fof(f19149,plain,
( ! [X0] :
( ~ int_leq(X0,sK2)
| int_less(X0,sK1) )
| ~ spl6_618 ),
inference(avatar_component_clause,[],[f19148]) ).
fof(f20635,plain,
( spl6_659
| ~ spl6_78
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18331,f17202,f698,f20633]) ).
fof(f20633,plain,
( spl6_659
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),n)
| ~ int_leq(X1,sK4)
| ~ int_less(X0,sK5(sK4,n)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_659])]) ).
fof(f18331,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),n)
| ~ int_leq(X1,sK4)
| ~ int_less(X0,sK5(sK4,n)) )
| ~ spl6_78
| ~ spl6_581 ),
inference(superposition,[],[f699,f17204]) ).
fof(f20631,plain,
( spl6_658
| ~ spl6_77
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18330,f17202,f694,f20629]) ).
fof(f20629,plain,
( spl6_658
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),n)
| ~ int_leq(X0,sK5(sK4,n))
| ~ int_less(X1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_658])]) ).
fof(f18330,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),n)
| ~ int_leq(X0,sK5(sK4,n))
| ~ int_less(X1,sK4) )
| ~ spl6_77
| ~ spl6_581 ),
inference(superposition,[],[f695,f17204]) ).
fof(f20627,plain,
( spl6_657
| ~ spl6_77
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18329,f17202,f694,f20625]) ).
fof(f20625,plain,
( spl6_657
<=> ! [X0,X1] :
( int_leq(n,plus(X0,X1))
| ~ int_leq(sK4,X1)
| ~ int_less(sK5(sK4,n),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_657])]) ).
fof(f18329,plain,
( ! [X0,X1] :
( int_leq(n,plus(X0,X1))
| ~ int_leq(sK4,X1)
| ~ int_less(sK5(sK4,n),X0) )
| ~ spl6_77
| ~ spl6_581 ),
inference(superposition,[],[f695,f17204]) ).
fof(f20623,plain,
( spl6_656
| ~ spl6_28
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18321,f17202,f235,f20621]) ).
fof(f20621,plain,
( spl6_656
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),n)
| ~ int_leq(X1,sK5(sK4,n))
| ~ int_less(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_656])]) ).
fof(f18321,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),n)
| ~ int_leq(X1,sK5(sK4,n))
| ~ int_less(X0,sK4) )
| ~ spl6_28
| ~ spl6_581 ),
inference(superposition,[],[f236,f17204]) ).
fof(f20619,plain,
( spl6_655
| ~ spl6_28
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18320,f17202,f235,f20617]) ).
fof(f20617,plain,
( spl6_655
<=> ! [X0,X1] :
( int_leq(n,plus(X0,X1))
| ~ int_leq(sK5(sK4,n),X1)
| ~ int_less(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_655])]) ).
fof(f18320,plain,
( ! [X0,X1] :
( int_leq(n,plus(X0,X1))
| ~ int_leq(sK5(sK4,n),X1)
| ~ int_less(sK4,X0) )
| ~ spl6_28
| ~ spl6_581 ),
inference(superposition,[],[f236,f17204]) ).
fof(f20614,plain,
( spl6_654
| ~ spl6_62
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f17273,f2662,f521,f20611]) ).
fof(f20611,plain,
( spl6_654
<=> sK5(int_zero,sK5(sK4,sK3)) = sK5(int_zero,sK5(int_zero,sK5(sK4,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_654])]) ).
fof(f2662,plain,
( spl6_185
<=> ! [X0,X1] :
( sK5(int_zero,sK5(X0,X1)) = sK5(int_zero,sK5(int_zero,sK5(X0,X1)))
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_185])]) ).
fof(f17273,plain,
( sK5(int_zero,sK5(sK4,sK3)) = sK5(int_zero,sK5(int_zero,sK5(sK4,sK3)))
| ~ spl6_62
| ~ spl6_185 ),
inference(resolution,[],[f523,f2663]) ).
fof(f2663,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| sK5(int_zero,sK5(X0,X1)) = sK5(int_zero,sK5(int_zero,sK5(X0,X1))) )
| ~ spl6_185 ),
inference(avatar_component_clause,[],[f2662]) ).
fof(f20609,plain,
( spl6_653
| ~ spl6_169
| ~ spl6_578 ),
inference(avatar_split_clause,[],[f17185,f17048,f2258,f20607]) ).
fof(f20607,plain,
( spl6_653
<=> ! [X0] :
( int_less(X0,n)
| sK4 = X0
| plus(sK4,sK5(sK4,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_653])]) ).
fof(f2258,plain,
( spl6_169
<=> ! [X0,X1] :
( int_less(X1,X0)
| X0 = X1
| plus(X0,sK5(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_169])]) ).
fof(f17185,plain,
( ! [X0] :
( int_less(X0,n)
| sK4 = X0
| plus(sK4,sK5(sK4,X0)) = X0 )
| ~ spl6_169
| ~ spl6_578 ),
inference(resolution,[],[f17049,f2259]) ).
fof(f2259,plain,
( ! [X0,X1] :
( int_less(X1,X0)
| X0 = X1
| plus(X0,sK5(X0,X1)) = X1 )
| ~ spl6_169 ),
inference(avatar_component_clause,[],[f2258]) ).
fof(f20604,plain,
( spl6_652
| ~ spl6_33
| ~ spl6_185 ),
inference(avatar_split_clause,[],[f16930,f2662,f272,f20601]) ).
fof(f20601,plain,
( spl6_652
<=> sK5(int_zero,sK5(sK4,n)) = sK5(int_zero,sK5(int_zero,sK5(sK4,n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_652])]) ).
fof(f16930,plain,
( sK5(int_zero,sK5(sK4,n)) = sK5(int_zero,sK5(int_zero,sK5(sK4,n)))
| ~ spl6_33
| ~ spl6_185 ),
inference(resolution,[],[f274,f2663]) ).
fof(f274,plain,
( int_less(sK4,n)
| ~ spl6_33 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f20532,plain,
( spl6_651
| ~ spl6_526
| ~ spl6_619 ),
inference(avatar_split_clause,[],[f19171,f19152,f13437,f20529]) ).
fof(f20529,plain,
( spl6_651
<=> int_less(sK4,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_651])]) ).
fof(f13437,plain,
( spl6_526
<=> ! [X0] :
( int_less(X0,sK2)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_526])]) ).
fof(f19171,plain,
( int_less(sK4,sK2)
| ~ spl6_526
| ~ spl6_619 ),
inference(resolution,[],[f19154,f13438]) ).
fof(f13438,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| int_less(X0,sK2) )
| ~ spl6_526 ),
inference(avatar_component_clause,[],[f13437]) ).
fof(f19154,plain,
( int_less(sK4,int_zero)
| ~ spl6_619 ),
inference(avatar_component_clause,[],[f19152]) ).
fof(f20337,plain,
( spl6_240
| ~ spl6_103
| ~ spl6_108 ),
inference(avatar_split_clause,[],[f1149,f1120,f1058,f4332]) ).
fof(f1120,plain,
( spl6_108
<=> ! [X0] :
( int_less(X0,n)
| ~ int_less(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_108])]) ).
fof(f1149,plain,
( int_less(int_one,n)
| ~ spl6_103
| ~ spl6_108 ),
inference(resolution,[],[f1121,f1060]) ).
fof(f1121,plain,
( ! [X0] :
( ~ int_less(X0,sK2)
| int_less(X0,n) )
| ~ spl6_108 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f20315,plain,
( spl6_593
| ~ spl6_106
| ~ spl6_619 ),
inference(avatar_split_clause,[],[f19162,f19152,f1112,f17681]) ).
fof(f17681,plain,
( spl6_593
<=> int_less(sK4,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_593])]) ).
fof(f1112,plain,
( spl6_106
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_106])]) ).
fof(f19162,plain,
( int_less(sK4,sK1)
| ~ spl6_106
| ~ spl6_619 ),
inference(resolution,[],[f19154,f1113]) ).
fof(f1113,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| int_less(X0,sK1) )
| ~ spl6_106 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f20279,plain,
( ~ spl6_368
| spl6_650
| ~ spl6_15
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f18408,f17528,f146,f20277,f9265]) ).
fof(f20277,plain,
( spl6_650
<=> ! [X0] :
( ~ int_leq(X0,n)
| ~ int_less(sK3,X0)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_650])]) ).
fof(f18408,plain,
( ! [X0] :
( ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| ~ int_leq(int_zero,int_zero)
| ~ int_less(sK3,X0) )
| ~ spl6_15
| ~ spl6_587 ),
inference(superposition,[],[f17529,f147]) ).
fof(f20275,plain,
( ~ spl6_368
| spl6_649
| ~ spl6_15
| ~ spl6_588 ),
inference(avatar_split_clause,[],[f17541,f17533,f146,f20273,f9265]) ).
fof(f20273,plain,
( spl6_649
<=> ! [X0] :
( ~ int_leq(X0,sK4)
| ~ int_less(sK3,X0)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_649])]) ).
fof(f17541,plain,
( ! [X0] :
( ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| ~ int_leq(int_zero,int_zero)
| ~ int_less(sK3,X0) )
| ~ spl6_15
| ~ spl6_588 ),
inference(superposition,[],[f17534,f147]) ).
fof(f20150,plain,
( ~ spl6_647
| spl6_648
| ~ spl6_151
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18347,f17202,f1657,f20148,f20144]) ).
fof(f20144,plain,
( spl6_647
<=> int_less(sK5(sK4,n),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_647])]) ).
fof(f20148,plain,
( spl6_648
<=> ! [X0] :
( int_leq(n,X0)
| ~ int_leq(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_648])]) ).
fof(f18347,plain,
( ! [X0] :
( int_leq(n,X0)
| ~ int_leq(sK4,X0)
| ~ int_less(sK5(sK4,n),int_zero) )
| ~ spl6_151
| ~ spl6_581 ),
inference(superposition,[],[f1658,f17204]) ).
fof(f20141,plain,
( ~ spl6_645
| spl6_646
| ~ spl6_148
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18346,f17202,f1644,f20139,f20135]) ).
fof(f20135,plain,
( spl6_645
<=> int_leq(sK4,int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_645])]) ).
fof(f20139,plain,
( spl6_646
<=> ! [X0] :
( int_leq(n,X0)
| ~ int_less(sK5(sK4,n),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_646])]) ).
fof(f18346,plain,
( ! [X0] :
( int_leq(n,X0)
| ~ int_leq(sK4,int_zero)
| ~ int_less(sK5(sK4,n),X0) )
| ~ spl6_148
| ~ spl6_581 ),
inference(superposition,[],[f1645,f17204]) ).
fof(f20122,plain,
( spl6_593
| ~ spl6_107
| ~ spl6_586 ),
inference(avatar_split_clause,[],[f18815,f17523,f1116,f17681]) ).
fof(f1116,plain,
( spl6_107
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_107])]) ).
fof(f17523,plain,
( spl6_586
<=> int_less(sK4,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_586])]) ).
fof(f18815,plain,
( int_less(sK4,sK1)
| ~ spl6_107
| ~ spl6_586 ),
inference(resolution,[],[f17525,f1117]) ).
fof(f1117,plain,
( ! [X0] :
( ~ int_less(X0,int_one)
| int_less(X0,sK1) )
| ~ spl6_107 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f17525,plain,
( int_less(sK4,int_one)
| ~ spl6_586 ),
inference(avatar_component_clause,[],[f17523]) ).
fof(f20119,plain,
( ~ spl6_643
| spl6_644
| ~ spl6_145
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18345,f17202,f1629,f20117,f20113]) ).
fof(f20117,plain,
( spl6_644
<=> ! [X0] :
( int_leq(X0,n)
| ~ int_less(X0,sK5(sK4,n)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_644])]) ).
fof(f18345,plain,
( ! [X0] :
( int_leq(X0,n)
| ~ int_leq(int_zero,sK4)
| ~ int_less(X0,sK5(sK4,n)) )
| ~ spl6_145
| ~ spl6_581 ),
inference(superposition,[],[f1630,f17204]) ).
fof(f20099,plain,
( ~ spl6_626
| spl6_642
| ~ spl6_138
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18339,f17202,f1594,f20097,f19431]) ).
fof(f20097,plain,
( spl6_642
<=> ! [X0] :
( int_leq(X0,n)
| ~ int_leq(X0,sK5(sK4,n)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_642])]) ).
fof(f18339,plain,
( ! [X0] :
( int_leq(X0,n)
| ~ int_leq(X0,sK5(sK4,n))
| ~ int_less(int_zero,sK4) )
| ~ spl6_138
| ~ spl6_581 ),
inference(superposition,[],[f1595,f17204]) ).
fof(f20094,plain,
( ~ spl6_640
| spl6_641
| ~ spl6_74
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18328,f17202,f625,f20092,f20088]) ).
fof(f20088,plain,
( spl6_640
<=> int_leq(sK5(sK4,n),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_640])]) ).
fof(f20092,plain,
( spl6_641
<=> ! [X0] :
( int_leq(n,X0)
| ~ int_less(sK4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_641])]) ).
fof(f18328,plain,
( ! [X0] :
( int_leq(n,X0)
| ~ int_leq(sK5(sK4,n),int_zero)
| ~ int_less(sK4,X0) )
| ~ spl6_74
| ~ spl6_581 ),
inference(superposition,[],[f626,f17204]) ).
fof(f20082,plain,
( ~ spl6_638
| spl6_639
| ~ spl6_73
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18327,f17202,f621,f20080,f20076]) ).
fof(f20076,plain,
( spl6_638
<=> int_leq(int_zero,sK5(sK4,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_638])]) ).
fof(f20080,plain,
( spl6_639
<=> ! [X0] :
( int_leq(X0,n)
| ~ int_less(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_639])]) ).
fof(f18327,plain,
( ! [X0] :
( int_leq(X0,n)
| ~ int_leq(int_zero,sK5(sK4,n))
| ~ int_less(X0,sK4) )
| ~ spl6_73
| ~ spl6_581 ),
inference(superposition,[],[f622,f17204]) ).
fof(f20016,plain,
( spl6_626
| ~ spl6_207
| ~ spl6_583 ),
inference(avatar_split_clause,[],[f17309,f17285,f3744,f19431]) ).
fof(f3744,plain,
( spl6_207
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_207])]) ).
fof(f17309,plain,
( int_less(int_zero,sK4)
| ~ spl6_207
| ~ spl6_583 ),
inference(resolution,[],[f17287,f3745]) ).
fof(f3745,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| int_less(int_zero,X0) )
| ~ spl6_207 ),
inference(avatar_component_clause,[],[f3744]) ).
fof(f20015,plain,
( spl6_637
| ~ spl6_7
| ~ spl6_596 ),
inference(avatar_split_clause,[],[f17874,f17805,f103,f20013]) ).
fof(f20013,plain,
( spl6_637
<=> ! [X0] :
( real_one = a(X0,X0)
| ~ int_leq(X0,sK4)
| int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_637])]) ).
fof(f17874,plain,
( ! [X0] :
( real_one = a(X0,X0)
| ~ int_leq(X0,sK4)
| int_less(X0,int_one) )
| ~ spl6_7
| ~ spl6_596 ),
inference(duplicate_literal_removal,[],[f17808]) ).
fof(f17808,plain,
( ! [X0] :
( real_one = a(X0,X0)
| ~ int_leq(X0,sK4)
| int_less(X0,int_one)
| int_less(X0,int_one) )
| ~ spl6_7
| ~ spl6_596 ),
inference(resolution,[],[f17806,f104]) ).
fof(f20011,plain,
( spl6_636
| ~ spl6_19
| ~ spl6_585 ),
inference(avatar_split_clause,[],[f17451,f17446,f163,f20009]) ).
fof(f20009,plain,
( spl6_636
<=> ! [X0] :
( int_less(X0,int_one)
| real_one = a(X0,X0)
| int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_636])]) ).
fof(f17451,plain,
( ! [X0] :
( int_less(X0,int_one)
| real_one = a(X0,X0)
| int_less(sK1,X0) )
| ~ spl6_19
| ~ spl6_585 ),
inference(resolution,[],[f17447,f164]) ).
fof(f19977,plain,
( spl6_635
| ~ spl6_73
| ~ spl6_573 ),
inference(avatar_split_clause,[],[f16185,f16153,f621,f19975]) ).
fof(f19975,plain,
( spl6_635
<=> ! [X0,X1] :
( ~ int_less(sK1,X0)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_635])]) ).
fof(f16153,plain,
( spl6_573
<=> ! [X0,X1] :
( ~ int_less(sK1,X0)
| ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_573])]) ).
fof(f16185,plain,
( ! [X0,X1] :
( ~ int_less(sK1,X0)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1) )
| ~ spl6_73
| ~ spl6_573 ),
inference(duplicate_literal_removal,[],[f16161]) ).
fof(f16161,plain,
( ! [X0,X1] :
( ~ int_less(sK1,X0)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_573 ),
inference(resolution,[],[f16154,f622]) ).
fof(f16154,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_less(sK1,X0)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1) )
| ~ spl6_573 ),
inference(avatar_component_clause,[],[f16153]) ).
fof(f19898,plain,
( spl6_634
| ~ spl6_152
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f2046,f1920,f1661,f19896]) ).
fof(f19896,plain,
( spl6_634
<=> ! [X0,X1] :
( ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1)
| int_less(int_zero,plus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_634])]) ).
fof(f1920,plain,
( spl6_156
<=> ! [X0] :
( ~ int_leq(sK3,X0)
| int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_156])]) ).
fof(f2046,plain,
( ! [X0,X1] :
( ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1)
| int_less(int_zero,plus(X0,X1)) )
| ~ spl6_152
| ~ spl6_156 ),
inference(resolution,[],[f1662,f1921]) ).
fof(f1921,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| int_less(int_zero,X0) )
| ~ spl6_156 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f19770,plain,
( spl6_45
| ~ spl6_155
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f7147,f2293,f1673,f393]) ).
fof(f393,plain,
( spl6_45
<=> int_less(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_45])]) ).
fof(f1673,plain,
( spl6_155
<=> ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_155])]) ).
fof(f2293,plain,
( spl6_175
<=> int_less(sK1,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_175])]) ).
fof(f7147,plain,
( int_less(sK1,sK3)
| ~ spl6_155
| ~ spl6_175 ),
inference(resolution,[],[f2294,f1674]) ).
fof(f1674,plain,
( ! [X0] :
( ~ int_less(X0,n)
| int_less(X0,sK3) )
| ~ spl6_155 ),
inference(avatar_component_clause,[],[f1673]) ).
fof(f2294,plain,
( int_less(sK1,n)
| ~ spl6_175 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f19573,plain,
( spl6_633
| ~ spl6_62
| ~ spl6_162 ),
inference(avatar_split_clause,[],[f17271,f2151,f521,f19571]) ).
fof(f19571,plain,
( spl6_633
<=> ! [X0] :
( sK3 = X0
| int_less(sK4,X0)
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_633])]) ).
fof(f2151,plain,
( spl6_162
<=> ! [X2,X0,X1] :
( int_less(X1,X0)
| X0 = X1
| int_less(X2,X1)
| ~ int_less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_162])]) ).
fof(f17271,plain,
( ! [X0] :
( sK3 = X0
| int_less(sK4,X0)
| int_less(X0,sK3) )
| ~ spl6_62
| ~ spl6_162 ),
inference(resolution,[],[f523,f2152]) ).
fof(f2152,plain,
( ! [X2,X0,X1] :
( ~ int_less(X2,X0)
| X0 = X1
| int_less(X2,X1)
| int_less(X1,X0) )
| ~ spl6_162 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f19569,plain,
( spl6_632
| ~ spl6_62
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f17269,f668,f521,f19566]) ).
fof(f19566,plain,
( spl6_632
<=> sK5(sK4,sK3) = sK5(int_zero,sK5(sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_632])]) ).
fof(f668,plain,
( spl6_76
<=> ! [X0,X1] :
( sK5(X0,X1) = sK5(int_zero,sK5(X0,X1))
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_76])]) ).
fof(f17269,plain,
( sK5(sK4,sK3) = sK5(int_zero,sK5(sK4,sK3))
| ~ spl6_62
| ~ spl6_76 ),
inference(resolution,[],[f523,f669]) ).
fof(f669,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| sK5(X0,X1) = sK5(int_zero,sK5(X0,X1)) )
| ~ spl6_76 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f19564,plain,
( spl6_631
| ~ spl6_70
| ~ spl6_578 ),
inference(avatar_split_clause,[],[f17186,f17048,f592,f19562]) ).
fof(f19562,plain,
( spl6_631
<=> ! [X0] :
( int_less(X0,n)
| int_less(sK4,X0)
| sK4 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_631])]) ).
fof(f592,plain,
( spl6_70
<=> ! [X0,X1] :
( int_less(X0,X1)
| X0 = X1
| int_less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_70])]) ).
fof(f17186,plain,
( ! [X0] :
( int_less(X0,n)
| int_less(sK4,X0)
| sK4 = X0 )
| ~ spl6_70
| ~ spl6_578 ),
inference(resolution,[],[f17049,f593]) ).
fof(f593,plain,
( ! [X0,X1] :
( int_less(X1,X0)
| int_less(X0,X1)
| X0 = X1 )
| ~ spl6_70 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f19560,plain,
( spl6_630
| ~ spl6_33
| ~ spl6_162 ),
inference(avatar_split_clause,[],[f16928,f2151,f272,f19558]) ).
fof(f19558,plain,
( spl6_630
<=> ! [X0] :
( n = X0
| int_less(sK4,X0)
| int_less(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_630])]) ).
fof(f16928,plain,
( ! [X0] :
( n = X0
| int_less(sK4,X0)
| int_less(X0,n) )
| ~ spl6_33
| ~ spl6_162 ),
inference(resolution,[],[f274,f2152]) ).
fof(f19466,plain,
( spl6_38
| ~ spl6_155
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f7130,f4332,f1673,f319]) ).
fof(f319,plain,
( spl6_38
<=> int_less(int_one,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_38])]) ).
fof(f7130,plain,
( int_less(int_one,sK3)
| ~ spl6_155
| ~ spl6_240 ),
inference(resolution,[],[f4333,f1674]) ).
fof(f19460,plain,
( ~ spl6_628
| ~ spl6_629
| ~ spl6_122
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18336,f17202,f1285,f19457,f19453]) ).
fof(f19457,plain,
( spl6_629
<=> int_less(n,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_629])]) ).
fof(f1285,plain,
( spl6_122
<=> ! [X0,X1] :
( ~ int_less(plus(X0,X1),X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_122])]) ).
fof(f18336,plain,
( ~ int_less(n,sK4)
| ~ int_less(int_zero,sK5(sK4,n))
| ~ spl6_122
| ~ spl6_581 ),
inference(superposition,[],[f1286,f17204]) ).
fof(f1286,plain,
( ! [X0,X1] :
( ~ int_less(plus(X0,X1),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_122 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f19438,plain,
( ~ spl6_626
| spl6_627
| ~ spl6_68
| ~ spl6_581 ),
inference(avatar_split_clause,[],[f18325,f17202,f559,f19435,f19431]) ).
fof(f19435,plain,
( spl6_627
<=> int_less(sK5(sK4,n),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_627])]) ).
fof(f18325,plain,
( int_less(sK5(sK4,n),n)
| ~ int_less(int_zero,sK4)
| ~ spl6_68
| ~ spl6_581 ),
inference(superposition,[],[f560,f17204]) ).
fof(f19358,plain,
( spl6_625
| ~ spl6_27
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f17268,f521,f226,f19355]) ).
fof(f19355,plain,
( spl6_625
<=> sK3 = plus(sK4,sK5(sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_625])]) ).
fof(f17268,plain,
( sK3 = plus(sK4,sK5(sK4,sK3))
| ~ spl6_27
| ~ spl6_62 ),
inference(resolution,[],[f523,f227]) ).
fof(f19316,plain,
( spl6_14
| ~ spl6_20
| ~ spl6_75 ),
inference(avatar_split_clause,[],[f19293,f645,f167,f141]) ).
fof(f141,plain,
( spl6_14
<=> int_leq(sK3,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).
fof(f645,plain,
( spl6_75
<=> int_less(sK3,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_75])]) ).
fof(f19293,plain,
( int_leq(sK3,n)
| ~ spl6_20
| ~ spl6_75 ),
inference(resolution,[],[f647,f168]) ).
fof(f647,plain,
( int_less(sK3,n)
| ~ spl6_75 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f19291,plain,
( ~ spl6_13
| ~ spl6_51
| ~ spl6_251
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f19120,f8430,f5836,f436,f134]) ).
fof(f134,plain,
( spl6_13
<=> int_leq(sK2,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f5836,plain,
( spl6_251
<=> int_leq(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_251])]) ).
fof(f8430,plain,
( spl6_338
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK3,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_338])]) ).
fof(f19120,plain,
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK2,n)
| ~ spl6_251
| ~ spl6_338 ),
inference(resolution,[],[f5837,f8431]) ).
fof(f8431,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) )
| ~ spl6_338 ),
inference(avatar_component_clause,[],[f8430]) ).
fof(f5837,plain,
( int_leq(sK3,sK2)
| ~ spl6_251 ),
inference(avatar_component_clause,[],[f5836]) ).
fof(f19270,plain,
( ~ spl6_8
| spl6_579
| ~ spl6_584 ),
inference(avatar_split_clause,[],[f19239,f17290,f17168,f107]) ).
fof(f17290,plain,
( spl6_584
<=> sK1 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_584])]) ).
fof(f19239,plain,
( ~ int_leq(int_one,sK1)
| spl6_579
| ~ spl6_584 ),
inference(superposition,[],[f17170,f17291]) ).
fof(f17291,plain,
( sK1 = sK4
| ~ spl6_584 ),
inference(avatar_component_clause,[],[f17290]) ).
fof(f17170,plain,
( ~ int_leq(int_one,sK4)
| spl6_579 ),
inference(avatar_component_clause,[],[f17168]) ).
fof(f19269,plain,
( ~ spl6_624
| spl6_252
| ~ spl6_584 ),
inference(avatar_split_clause,[],[f19237,f17290,f5841,f19266]) ).
fof(f19266,plain,
( spl6_624
<=> sK1 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_624])]) ).
fof(f5841,plain,
( spl6_252
<=> sK2 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_252])]) ).
fof(f19237,plain,
( sK1 != sK2
| spl6_252
| ~ spl6_584 ),
inference(superposition,[],[f5843,f17291]) ).
fof(f5843,plain,
( sK2 != sK4
| spl6_252 ),
inference(avatar_component_clause,[],[f5841]) ).
fof(f19230,plain,
( spl6_584
| spl6_623
| ~ spl6_25
| ~ spl6_583 ),
inference(avatar_split_clause,[],[f17314,f17285,f209,f19227,f17290]) ).
fof(f19227,plain,
( spl6_623
<=> int_less(sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_623])]) ).
fof(f209,plain,
( spl6_25
<=> ! [X0,X1] :
( X0 = X1
| int_less(X0,X1)
| ~ int_leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_25])]) ).
fof(f17314,plain,
( int_less(sK1,sK4)
| sK1 = sK4
| ~ spl6_25
| ~ spl6_583 ),
inference(resolution,[],[f17287,f210]) ).
fof(f210,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| int_less(X0,X1)
| X0 = X1 )
| ~ spl6_25 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f19205,plain,
( spl6_252
| spl6_622
| ~ spl6_25
| ~ spl6_582 ),
inference(avatar_split_clause,[],[f17294,f17259,f209,f19202,f5841]) ).
fof(f17294,plain,
( int_less(sK2,sK4)
| sK2 = sK4
| ~ spl6_25
| ~ spl6_582 ),
inference(resolution,[],[f17261,f210]) ).
fof(f17261,plain,
( int_leq(sK2,sK4)
| ~ spl6_582 ),
inference(avatar_component_clause,[],[f17259]) ).
fof(f19200,plain,
( spl6_621
| ~ spl6_26
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f17267,f521,f213,f19198]) ).
fof(f19198,plain,
( spl6_621
<=> ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_621])]) ).
fof(f17267,plain,
( ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,sK4) )
| ~ spl6_26
| ~ spl6_62 ),
inference(resolution,[],[f523,f214]) ).
fof(f19159,plain,
( spl6_619
| spl6_620
| ~ spl6_126
| spl6_579 ),
inference(avatar_split_clause,[],[f17172,f17168,f1374,f19156,f19152]) ).
fof(f19156,plain,
( spl6_620
<=> int_zero = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_620])]) ).
fof(f1374,plain,
( spl6_126
<=> ! [X0] :
( int_less(X0,int_zero)
| int_zero = X0
| int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_126])]) ).
fof(f17172,plain,
( int_zero = sK4
| int_less(sK4,int_zero)
| ~ spl6_126
| spl6_579 ),
inference(resolution,[],[f17170,f1375]) ).
fof(f1375,plain,
( ! [X0] :
( int_leq(int_one,X0)
| int_zero = X0
| int_less(X0,int_zero) )
| ~ spl6_126 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f19150,plain,
( spl6_618
| ~ spl6_19
| ~ spl6_572 ),
inference(avatar_split_clause,[],[f16123,f16100,f163,f19148]) ).
fof(f16100,plain,
( spl6_572
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_572])]) ).
fof(f16123,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(X0,sK2) )
| ~ spl6_19
| ~ spl6_572 ),
inference(duplicate_literal_removal,[],[f16111]) ).
fof(f16111,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(X0,sK2)
| int_less(X0,sK1) )
| ~ spl6_19
| ~ spl6_572 ),
inference(resolution,[],[f16101,f164]) ).
fof(f16101,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| int_less(X0,sK1)
| ~ int_leq(X0,sK2) )
| ~ spl6_572 ),
inference(avatar_component_clause,[],[f16100]) ).
fof(f19146,plain,
( ~ spl6_5
| spl6_57
| ~ spl6_104
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f16048,f1952,f1079,f478,f94]) ).
fof(f94,plain,
( spl6_5
<=> int_less(int_zero,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f478,plain,
( spl6_57
<=> int_leq(sK3,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_57])]) ).
fof(f1079,plain,
( spl6_104
<=> int_one = sK5(int_zero,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_104])]) ).
fof(f1952,plain,
( spl6_158
<=> ! [X0,X1] :
( int_leq(sK3,sK5(X0,X1))
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_158])]) ).
fof(f16048,plain,
( int_leq(sK3,int_one)
| ~ int_less(int_zero,int_one)
| ~ spl6_104
| ~ spl6_158 ),
inference(superposition,[],[f1953,f1081]) ).
fof(f1081,plain,
( int_one = sK5(int_zero,int_one)
| ~ spl6_104 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1953,plain,
( ! [X0,X1] :
( int_leq(sK3,sK5(X0,X1))
| ~ int_less(X0,X1) )
| ~ spl6_158 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f19119,plain,
( spl6_251
| ~ spl6_20
| ~ spl6_159 ),
inference(avatar_split_clause,[],[f4629,f1956,f167,f5836]) ).
fof(f1956,plain,
( spl6_159
<=> int_less(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_159])]) ).
fof(f4629,plain,
( int_leq(sK3,sK2)
| ~ spl6_20
| ~ spl6_159 ),
inference(resolution,[],[f1958,f168]) ).
fof(f1958,plain,
( int_less(sK3,sK2)
| ~ spl6_159 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f19118,plain,
( spl6_82
| ~ spl6_251
| ~ spl6_80
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9336,f8634,f750,f5836,f783]) ).
fof(f783,plain,
( spl6_82
<=> int_less(sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_82])]) ).
fof(f8634,plain,
( spl6_344
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_344])]) ).
fof(f9336,plain,
( ~ int_leq(sK3,sK2)
| int_less(sK3,sK3)
| ~ spl6_80
| ~ spl6_344 ),
inference(resolution,[],[f8635,f752]) ).
fof(f752,plain,
( int_leq(sK1,sK3)
| ~ spl6_80 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f8635,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| int_less(X0,sK3) )
| ~ spl6_344 ),
inference(avatar_component_clause,[],[f8634]) ).
fof(f18983,plain,
( spl6_34
| ~ spl6_6
| ~ spl6_204 ),
inference(avatar_split_clause,[],[f3966,f3713,f99,f281]) ).
fof(f281,plain,
( spl6_34
<=> int_less(n,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
fof(f99,plain,
( spl6_6
<=> ! [X1] : ~ int_less(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f3713,plain,
( spl6_204
<=> ! [X0] :
( int_less(n,X0)
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_204])]) ).
fof(f3966,plain,
( int_less(n,sK3)
| ~ spl6_6
| ~ spl6_204 ),
inference(resolution,[],[f3714,f100]) ).
fof(f100,plain,
( ! [X1] : ~ int_less(X1,X1)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f3714,plain,
( ! [X0] :
( int_less(n,X0)
| int_less(X0,sK3) )
| ~ spl6_204 ),
inference(avatar_component_clause,[],[f3713]) ).
fof(f18951,plain,
( spl6_320
| ~ spl6_107
| ~ spl6_160 ),
inference(avatar_split_clause,[],[f17587,f2002,f1116,f7808]) ).
fof(f7808,plain,
( spl6_320
<=> int_less(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_320])]) ).
fof(f2002,plain,
( spl6_160
<=> int_less(sK1,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_160])]) ).
fof(f17587,plain,
( int_less(sK1,sK1)
| ~ spl6_107
| ~ spl6_160 ),
inference(resolution,[],[f1117,f2003]) ).
fof(f2003,plain,
( int_less(sK1,int_one)
| ~ spl6_160 ),
inference(avatar_component_clause,[],[f2002]) ).
fof(f18922,plain,
( ~ spl6_302
| ~ spl6_8
| ~ spl6_36
| ~ spl6_330
| spl6_617
| ~ spl6_13
| ~ spl6_44
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f7306,f532,f377,f134,f18920,f8078,f305,f107,f7115]) ).
fof(f305,plain,
( spl6_36
<=> int_leq(sK1,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_36])]) ).
fof(f18920,plain,
( spl6_617
<=> ! [X0] :
( ~ int_leq(X0,sK1)
| a(plus(X0,sK5(sK1,sK2)),X0) = qr(plus(X0,sK5(sK1,sK2)),X0)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_617])]) ).
fof(f377,plain,
( spl6_44
<=> ! [X6,X5,X1] :
( a(plus(X6,X5),X6) = qr(plus(X6,X5),X6)
| ~ int_leq(X6,X1)
| ~ int_leq(int_one,X6)
| ~ int_less(int_zero,X5)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(plus(X1,X5),n)
| ~ int_leq(int_one,plus(X1,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_44])]) ).
fof(f7306,plain,
( ! [X0] :
( ~ int_leq(sK2,n)
| ~ int_leq(X0,sK1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,sK5(sK1,sK2))
| ~ int_leq(sK1,n)
| ~ int_leq(int_one,sK1)
| a(plus(X0,sK5(sK1,sK2)),X0) = qr(plus(X0,sK5(sK1,sK2)),X0)
| ~ int_leq(int_one,sK2) )
| ~ spl6_44
| ~ spl6_64 ),
inference(superposition,[],[f378,f534]) ).
fof(f378,plain,
( ! [X1,X6,X5] :
( ~ int_leq(plus(X1,X5),n)
| ~ int_leq(X6,X1)
| ~ int_leq(int_one,X6)
| ~ int_less(int_zero,X5)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X6,X5),X6) = qr(plus(X6,X5),X6)
| ~ int_leq(int_one,plus(X1,X5)) )
| ~ spl6_44 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f18844,plain,
( spl6_616
| ~ spl6_74
| ~ spl6_316 ),
inference(avatar_split_clause,[],[f16805,f7632,f625,f18842]) ).
fof(f18842,plain,
( spl6_616
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X2,X1))
| ~ int_leq(X1,int_zero)
| ~ int_less(X2,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_616])]) ).
fof(f7632,plain,
( spl6_316
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_316])]) ).
fof(f16805,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X2,X1))
| ~ int_leq(X1,int_zero)
| ~ int_less(X2,n) )
| ~ spl6_74
| ~ spl6_316 ),
inference(resolution,[],[f7633,f626]) ).
fof(f7633,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) )
| ~ spl6_316 ),
inference(avatar_component_clause,[],[f7632]) ).
fof(f18840,plain,
( spl6_615
| ~ spl6_44
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f7290,f625,f377,f18838]) ).
fof(f18838,plain,
( spl6_615
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_615])]) ).
fof(f7290,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_44
| ~ spl6_74 ),
inference(resolution,[],[f378,f626]) ).
fof(f18778,plain,
( spl6_614
| ~ spl6_21
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f16765,f7618,f179,f18776]) ).
fof(f18776,plain,
( spl6_614
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(X2,X0)
| int_less(n,plus(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_614])]) ).
fof(f7618,plain,
( spl6_314
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| int_less(n,plus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_314])]) ).
fof(f16765,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(X2,X0)
| int_less(n,plus(X1,X0)) )
| ~ spl6_21
| ~ spl6_314 ),
inference(superposition,[],[f7619,f180]) ).
fof(f7619,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(X0,X1)
| int_less(n,plus(X1,X2)) )
| ~ spl6_314 ),
inference(avatar_component_clause,[],[f7618]) ).
fof(f18700,plain,
( spl6_613
| ~ spl6_74
| ~ spl6_311 ),
inference(avatar_split_clause,[],[f16729,f7531,f625,f18698]) ).
fof(f18698,plain,
( spl6_613
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X2,X1))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,int_zero)
| ~ int_less(X2,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_613])]) ).
fof(f7531,plain,
( spl6_311
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_311])]) ).
fof(f16729,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X2,X1))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,int_zero)
| ~ int_less(X2,n) )
| ~ spl6_74
| ~ spl6_311 ),
inference(resolution,[],[f7532,f626]) ).
fof(f7532,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) )
| ~ spl6_311 ),
inference(avatar_component_clause,[],[f7531]) ).
fof(f18696,plain,
( spl6_612
| ~ spl6_43
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f7225,f625,f367,f18694]) ).
fof(f18694,plain,
( spl6_612
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_612])]) ).
fof(f367,plain,
( spl6_43
<=> ! [X2,X0,X3] :
( real_zero = a(X3,plus(X3,X2))
| ~ int_leq(X3,X0)
| ~ int_leq(int_one,X3)
| ~ int_less(int_zero,X2)
| ~ int_leq(plus(X0,X2),n)
| ~ int_leq(int_one,plus(X0,X2))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_43])]) ).
fof(f7225,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_43
| ~ spl6_74 ),
inference(resolution,[],[f368,f626]) ).
fof(f368,plain,
( ! [X2,X3,X0] :
( ~ int_leq(plus(X0,X2),n)
| ~ int_leq(X3,X0)
| ~ int_leq(int_one,X3)
| ~ int_less(int_zero,X2)
| real_zero = a(X3,plus(X3,X2))
| ~ int_leq(int_one,plus(X0,X2))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) )
| ~ spl6_43 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f18537,plain,
( spl6_611
| ~ spl6_20
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f17266,f521,f167,f18534]) ).
fof(f18534,plain,
( spl6_611
<=> int_leq(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_611])]) ).
fof(f17266,plain,
( int_leq(sK4,sK3)
| ~ spl6_20
| ~ spl6_62 ),
inference(resolution,[],[f523,f168]) ).
fof(f18390,plain,
( spl6_610
| ~ spl6_33
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f690,f668,f272,f18387]) ).
fof(f690,plain,
( sK5(sK4,n) = sK5(int_zero,sK5(sK4,n))
| ~ spl6_33
| ~ spl6_76 ),
inference(resolution,[],[f669,f274]) ).
fof(f18266,plain,
( ~ spl6_586
| ~ spl6_32
| spl6_99 ),
inference(avatar_split_clause,[],[f17384,f1022,f268,f17523]) ).
fof(f17384,plain,
( ~ int_less(sK4,int_one)
| ~ spl6_32
| spl6_99 ),
inference(superposition,[],[f1023,f270]) ).
fof(f18263,plain,
( spl6_609
| ~ spl6_21
| ~ spl6_310 ),
inference(avatar_split_clause,[],[f16700,f7522,f179,f18261]) ).
fof(f18261,plain,
( spl6_609
<=> ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X2,X0)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| int_less(n,plus(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_609])]) ).
fof(f7522,plain,
( spl6_310
<=> ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| int_less(n,plus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_310])]) ).
fof(f16700,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X2,X0)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| int_less(n,plus(X1,X0)) )
| ~ spl6_21
| ~ spl6_310 ),
inference(superposition,[],[f7523,f180]) ).
fof(f7523,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X0,X1)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| int_less(n,plus(X1,X2)) )
| ~ spl6_310 ),
inference(avatar_component_clause,[],[f7522]) ).
fof(f18231,plain,
( ~ spl6_8
| ~ spl6_36
| ~ spl6_302
| ~ spl6_330
| spl6_608
| ~ spl6_13
| ~ spl6_43
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f7241,f532,f367,f134,f18229,f8078,f7115,f305,f107]) ).
fof(f7241,plain,
( ! [X0] :
( ~ int_leq(sK2,n)
| ~ int_leq(X0,sK1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(int_one,sK2)
| ~ int_leq(sK1,n)
| ~ int_leq(int_one,sK1) )
| ~ spl6_43
| ~ spl6_64 ),
inference(superposition,[],[f368,f534]) ).
fof(f18175,plain,
( spl6_607
| ~ spl6_32
| ~ spl6_606 ),
inference(avatar_split_clause,[],[f18171,f18168,f268,f18173]) ).
fof(f18171,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1) )
| ~ spl6_32
| ~ spl6_606 ),
inference(forward_demodulation,[],[f18169,f270]) ).
fof(f18170,plain,
( spl6_606
| ~ spl6_30
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f16589,f621,f249,f18168]) ).
fof(f249,plain,
( spl6_30
<=> ! [X4,X1] :
( real_one = a(X4,X4)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X4)
| ~ int_leq(X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_30])]) ).
fof(f16589,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(int_one,X1) )
| ~ spl6_30
| ~ spl6_73 ),
inference(resolution,[],[f250,f622]) ).
fof(f250,plain,
( ! [X1,X4] :
( ~ int_leq(int_one,X4)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,n)
| real_one = a(X4,X4)
| ~ int_leq(X4,X1) )
| ~ spl6_30 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f18046,plain,
( spl6_605
| ~ spl6_32
| ~ spl6_603 ),
inference(avatar_split_clause,[],[f18035,f18032,f268,f18044]) ).
fof(f18032,plain,
( spl6_603
<=> ! [X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(plus(int_one,X1),X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_603])]) ).
fof(f18035,plain,
( ! [X0,X1] :
( ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(plus(int_one,X1),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_32
| ~ spl6_603 ),
inference(forward_demodulation,[],[f18033,f270]) ).
fof(f18033,plain,
( ! [X0,X1] :
( ~ int_leq(plus(int_one,X1),X0)
| ~ int_leq(X0,n)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_603 ),
inference(avatar_component_clause,[],[f18032]) ).
fof(f18040,plain,
( spl6_604
| ~ spl6_32
| ~ spl6_62
| ~ spl6_577 ),
inference(avatar_split_clause,[],[f17282,f16859,f521,f268,f18037]) ).
fof(f18037,plain,
( spl6_604
<=> int_less(sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_604])]) ).
fof(f16859,plain,
( spl6_577
<=> ! [X0] :
( ~ int_less(X0,sK3)
| int_less(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_577])]) ).
fof(f17282,plain,
( int_less(sK4,sK4)
| ~ spl6_32
| ~ spl6_62
| ~ spl6_577 ),
inference(forward_demodulation,[],[f17264,f270]) ).
fof(f17264,plain,
( int_less(sK4,n)
| ~ spl6_62
| ~ spl6_577 ),
inference(resolution,[],[f523,f16860]) ).
fof(f16860,plain,
( ! [X0] :
( ~ int_less(X0,sK3)
| int_less(X0,n) )
| ~ spl6_577 ),
inference(avatar_component_clause,[],[f16859]) ).
fof(f18034,plain,
( spl6_603
| ~ spl6_30
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f16584,f555,f249,f18032]) ).
fof(f16584,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(plus(int_one,X1),plus(int_one,X1))
| ~ int_leq(plus(int_one,X1),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_30
| ~ spl6_67 ),
inference(resolution,[],[f250,f556]) ).
fof(f17993,plain,
( spl6_602
| ~ spl6_32
| ~ spl6_601 ),
inference(avatar_split_clause,[],[f17989,f17986,f268,f17991]) ).
fof(f17989,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(sK5(X1,X2),X0)
| ~ int_less(X1,X2) )
| ~ spl6_32
| ~ spl6_601 ),
inference(forward_demodulation,[],[f17987,f270]) ).
fof(f17988,plain,
( spl6_601
| ~ spl6_30
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f16580,f547,f249,f17986]) ).
fof(f547,plain,
( spl6_65
<=> ! [X0,X1] :
( ~ int_less(X0,X1)
| int_leq(int_one,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_65])]) ).
fof(f16580,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(sK5(X1,X2),sK5(X1,X2))
| ~ int_leq(sK5(X1,X2),X0)
| ~ int_less(X1,X2) )
| ~ spl6_30
| ~ spl6_65 ),
inference(resolution,[],[f250,f548]) ).
fof(f548,plain,
( ! [X0,X1] :
( int_leq(int_one,sK5(X0,X1))
| ~ int_less(X0,X1) )
| ~ spl6_65 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f17918,plain,
( spl6_600
| ~ spl6_32
| ~ spl6_599 ),
inference(avatar_split_clause,[],[f17914,f17911,f268,f17916]) ).
fof(f17911,plain,
( spl6_599
<=> ! [X0,X1] :
( ~ int_leq(plus(int_one,X0),n)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(int_one,X0))
| int_less(X1,int_one)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_599])]) ).
fof(f17914,plain,
( ! [X0,X1] :
( ~ int_leq(plus(int_one,X0),sK4)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(int_one,X0))
| int_less(X1,int_one)
| ~ int_less(int_zero,X0) )
| ~ spl6_32
| ~ spl6_599 ),
inference(forward_demodulation,[],[f17912,f270]) ).
fof(f17912,plain,
( ! [X0,X1] :
( ~ int_leq(plus(int_one,X0),n)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(int_one,X0))
| int_less(X1,int_one)
| ~ int_less(int_zero,X0) )
| ~ spl6_599 ),
inference(avatar_component_clause,[],[f17911]) ).
fof(f17913,plain,
( spl6_599
| ~ spl6_67
| ~ spl6_575 ),
inference(avatar_split_clause,[],[f16679,f16668,f555,f17911]) ).
fof(f16668,plain,
( spl6_575
<=> ! [X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_575])]) ).
fof(f16679,plain,
( ! [X0,X1] :
( ~ int_leq(plus(int_one,X0),n)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(int_one,X0))
| int_less(X1,int_one)
| ~ int_less(int_zero,X0) )
| ~ spl6_67
| ~ spl6_575 ),
inference(resolution,[],[f16669,f556]) ).
fof(f16669,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one) )
| ~ spl6_575 ),
inference(avatar_component_clause,[],[f16668]) ).
fof(f17890,plain,
( spl6_598
| ~ spl6_32
| ~ spl6_597 ),
inference(avatar_split_clause,[],[f17880,f17877,f268,f17888]) ).
fof(f17877,plain,
( spl6_597
<=> ! [X2,X0,X1] :
( ~ int_leq(sK5(X0,X1),n)
| real_one = a(X2,X2)
| ~ int_leq(X2,sK5(X0,X1))
| int_less(X2,int_one)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_597])]) ).
fof(f17880,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK5(X0,X1),sK4)
| real_one = a(X2,X2)
| ~ int_leq(X2,sK5(X0,X1))
| int_less(X2,int_one)
| ~ int_less(X0,X1) )
| ~ spl6_32
| ~ spl6_597 ),
inference(forward_demodulation,[],[f17878,f270]) ).
fof(f17878,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK5(X0,X1),n)
| real_one = a(X2,X2)
| ~ int_leq(X2,sK5(X0,X1))
| int_less(X2,int_one)
| ~ int_less(X0,X1) )
| ~ spl6_597 ),
inference(avatar_component_clause,[],[f17877]) ).
fof(f17881,plain,
( spl6_593
| ~ spl6_62
| ~ spl6_576 ),
inference(avatar_split_clause,[],[f17265,f16855,f521,f17681]) ).
fof(f16855,plain,
( spl6_576
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_576])]) ).
fof(f17265,plain,
( int_less(sK4,sK1)
| ~ spl6_62
| ~ spl6_576 ),
inference(resolution,[],[f523,f16856]) ).
fof(f16856,plain,
( ! [X0] :
( ~ int_less(X0,sK3)
| int_less(X0,sK1) )
| ~ spl6_576 ),
inference(avatar_component_clause,[],[f16855]) ).
fof(f17879,plain,
( spl6_597
| ~ spl6_65
| ~ spl6_575 ),
inference(avatar_split_clause,[],[f16675,f16668,f547,f17877]) ).
fof(f16675,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK5(X0,X1),n)
| real_one = a(X2,X2)
| ~ int_leq(X2,sK5(X0,X1))
| int_less(X2,int_one)
| ~ int_less(X0,X1) )
| ~ spl6_65
| ~ spl6_575 ),
inference(resolution,[],[f16669,f548]) ).
fof(f17807,plain,
( spl6_596
| ~ spl6_32
| ~ spl6_595 ),
inference(avatar_split_clause,[],[f17803,f17800,f268,f17805]) ).
fof(f17800,plain,
( spl6_595
<=> ! [X0,X1] :
( ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one)
| int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_595])]) ).
fof(f17803,plain,
( ! [X0,X1] :
( ~ int_leq(X0,sK4)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one)
| int_less(X0,int_one) )
| ~ spl6_32
| ~ spl6_595 ),
inference(forward_demodulation,[],[f17801,f270]) ).
fof(f17801,plain,
( ! [X0,X1] :
( ~ int_leq(X1,X0)
| real_one = a(X1,X1)
| ~ int_leq(X0,n)
| int_less(X1,int_one)
| int_less(X0,int_one) )
| ~ spl6_595 ),
inference(avatar_component_clause,[],[f17800]) ).
fof(f17802,plain,
( spl6_595
| ~ spl6_19
| ~ spl6_575 ),
inference(avatar_split_clause,[],[f16677,f16668,f163,f17800]) ).
fof(f16677,plain,
( ! [X0,X1] :
( ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one)
| int_less(X0,int_one) )
| ~ spl6_19
| ~ spl6_575 ),
inference(resolution,[],[f16669,f164]) ).
fof(f17774,plain,
( spl6_594
| ~ spl6_39
| ~ spl6_7
| ~ spl6_575 ),
inference(avatar_split_clause,[],[f16676,f16668,f103,f325,f17772]) ).
fof(f17772,plain,
( spl6_594
<=> ! [X0] :
( real_one = a(X0,X0)
| int_less(X0,int_one)
| ~ int_leq(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_594])]) ).
fof(f16676,plain,
( ! [X0] :
( ~ int_leq(int_one,n)
| real_one = a(X0,X0)
| ~ int_leq(X0,int_one)
| int_less(X0,int_one) )
| ~ spl6_7
| ~ spl6_575 ),
inference(resolution,[],[f16669,f104]) ).
fof(f17684,plain,
( ~ spl6_593
| ~ spl6_32
| spl6_97 ),
inference(avatar_split_clause,[],[f17213,f1012,f268,f17681]) ).
fof(f1012,plain,
( spl6_97
<=> int_less(n,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_97])]) ).
fof(f17213,plain,
( ~ int_less(sK4,sK1)
| ~ spl6_32
| spl6_97 ),
inference(superposition,[],[f1013,f270]) ).
fof(f1013,plain,
( ~ int_less(n,sK1)
| spl6_97 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f17679,plain,
( spl6_592
| ~ spl6_32
| ~ spl6_316 ),
inference(avatar_split_clause,[],[f17237,f7632,f268,f17677]) ).
fof(f17677,plain,
( spl6_592
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X1)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X0)
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1)
| a(plus(X2,X0),X2) = qr(plus(X2,X0),X2)
| ~ int_leq(int_one,plus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_592])]) ).
fof(f17237,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X1)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X0)
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1)
| a(plus(X2,X0),X2) = qr(plus(X2,X0),X2)
| ~ int_leq(int_one,plus(X0,X1)) )
| ~ spl6_32
| ~ spl6_316 ),
inference(superposition,[],[f7633,f270]) ).
fof(f17675,plain,
( spl6_591
| ~ spl6_32
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f17210,f377,f268,f17673]) ).
fof(f17673,plain,
( spl6_591
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_591])]) ).
fof(f17210,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X0,X1)) )
| ~ spl6_32
| ~ spl6_44 ),
inference(superposition,[],[f378,f270]) ).
fof(f17598,plain,
( spl6_590
| ~ spl6_32
| ~ spl6_311 ),
inference(avatar_split_clause,[],[f17236,f7531,f268,f17596]) ).
fof(f17236,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X1)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X0)
| real_zero = a(X2,plus(X2,X0))
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(X1,sK4)
| ~ int_leq(int_one,X1) )
| ~ spl6_32
| ~ spl6_311 ),
inference(superposition,[],[f7532,f270]) ).
fof(f17594,plain,
( spl6_589
| ~ spl6_32
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f17209,f367,f268,f17592]) ).
fof(f17209,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(X0,sK4)
| ~ int_leq(int_one,X0) )
| ~ spl6_32
| ~ spl6_43 ),
inference(superposition,[],[f368,f270]) ).
fof(f17535,plain,
( spl6_588
| ~ spl6_32
| ~ spl6_587 ),
inference(avatar_split_clause,[],[f17531,f17528,f268,f17533]) ).
fof(f17531,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK4)
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_32
| ~ spl6_587 ),
inference(forward_demodulation,[],[f17529,f270]) ).
fof(f17530,plain,
( spl6_587
| ~ spl6_48
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f16628,f621,f412,f17528]) ).
fof(f16628,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_48
| ~ spl6_73 ),
inference(resolution,[],[f413,f622]) ).
fof(f17526,plain,
( spl6_586
| ~ spl6_19
| spl6_579 ),
inference(avatar_split_clause,[],[f17173,f17168,f163,f17523]) ).
fof(f17173,plain,
( int_less(sK4,int_one)
| ~ spl6_19
| spl6_579 ),
inference(resolution,[],[f17170,f164]) ).
fof(f17448,plain,
( spl6_585
| ~ spl6_583
| ~ spl6_8
| ~ spl6_32
| ~ spl6_575 ),
inference(avatar_split_clause,[],[f17408,f16668,f268,f107,f17285,f17446]) ).
fof(f17408,plain,
( ! [X0] :
( ~ int_leq(sK1,sK4)
| real_one = a(X0,X0)
| ~ int_leq(X0,sK1)
| int_less(X0,int_one) )
| ~ spl6_8
| ~ spl6_32
| ~ spl6_575 ),
inference(forward_demodulation,[],[f17395,f270]) ).
fof(f17395,plain,
( ! [X0] :
( ~ int_leq(sK1,n)
| real_one = a(X0,X0)
| ~ int_leq(X0,sK1)
| int_less(X0,int_one) )
| ~ spl6_8
| ~ spl6_575 ),
inference(resolution,[],[f109,f16669]) ).
fof(f17443,plain,
( spl6_13
| ~ spl6_20
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f8446,f490,f167,f134]) ).
fof(f490,plain,
( spl6_59
<=> int_less(sK2,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_59])]) ).
fof(f8446,plain,
( int_leq(sK2,n)
| ~ spl6_20
| ~ spl6_59 ),
inference(resolution,[],[f492,f168]) ).
fof(f492,plain,
( int_less(sK2,n)
| ~ spl6_59 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f17394,plain,
( spl6_8
| ~ spl6_17
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f440,f335,f155,f107]) ).
fof(f335,plain,
( spl6_40
<=> int_less(int_zero,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_40])]) ).
fof(f440,plain,
( int_leq(int_one,sK1)
| ~ spl6_17
| ~ spl6_40 ),
inference(resolution,[],[f337,f156]) ).
fof(f337,plain,
( int_less(int_zero,sK1)
| ~ spl6_40 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f17293,plain,
( ~ spl6_584
| ~ spl6_32
| spl6_571 ),
inference(avatar_split_clause,[],[f17252,f15804,f268,f17290]) ).
fof(f15804,plain,
( spl6_571
<=> n = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_571])]) ).
fof(f17252,plain,
( sK1 != sK4
| ~ spl6_32
| spl6_571 ),
inference(superposition,[],[f15806,f270]) ).
fof(f15806,plain,
( n != sK1
| spl6_571 ),
inference(avatar_component_clause,[],[f15804]) ).
fof(f17288,plain,
( spl6_583
| ~ spl6_32
| ~ spl6_36 ),
inference(avatar_split_clause,[],[f17208,f305,f268,f17285]) ).
fof(f17208,plain,
( int_leq(sK1,sK4)
| ~ spl6_32
| ~ spl6_36 ),
inference(superposition,[],[f306,f270]) ).
fof(f306,plain,
( int_leq(sK1,n)
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f17263,plain,
( spl6_62
| ~ spl6_19
| spl6_35 ),
inference(avatar_split_clause,[],[f17179,f289,f163,f521]) ).
fof(f289,plain,
( spl6_35
<=> int_leq(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_35])]) ).
fof(f17179,plain,
( int_less(sK4,sK3)
| ~ spl6_19
| spl6_35 ),
inference(resolution,[],[f291,f164]) ).
fof(f291,plain,
( ~ int_leq(sK3,sK4)
| spl6_35 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f17262,plain,
( spl6_582
| ~ spl6_13
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f277,f268,f134,f17259]) ).
fof(f277,plain,
( int_leq(sK2,sK4)
| ~ spl6_13
| ~ spl6_32 ),
inference(superposition,[],[f136,f270]) ).
fof(f136,plain,
( int_leq(sK2,n)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f17205,plain,
( spl6_581
| ~ spl6_27
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f300,f272,f226,f17202]) ).
fof(f300,plain,
( n = plus(sK4,sK5(sK4,n))
| ~ spl6_27
| ~ spl6_33 ),
inference(resolution,[],[f274,f227]) ).
fof(f17178,plain,
( spl6_9
| spl6_580
| ~ spl6_25
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f16944,f289,f209,f17175,f112]) ).
fof(f112,plain,
( spl6_9
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f17175,plain,
( spl6_580
<=> int_less(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_580])]) ).
fof(f16944,plain,
( int_less(sK3,sK4)
| sK3 = sK4
| ~ spl6_25
| ~ spl6_35 ),
inference(resolution,[],[f290,f210]) ).
fof(f290,plain,
( int_leq(sK3,sK4)
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f17171,plain,
( ~ spl6_3
| ~ spl6_579
| ~ spl6_35
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f16942,f412,f289,f17168,f84]) ).
fof(f84,plain,
( spl6_3
<=> int_leq(sK4,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f16942,plain,
( ~ int_leq(int_one,sK4)
| ~ int_leq(sK4,n)
| ~ spl6_35
| ~ spl6_48 ),
inference(resolution,[],[f290,f413]) ).
fof(f17085,plain,
( spl6_41
| ~ spl6_20
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f1911,f403,f167,f349]) ).
fof(f349,plain,
( spl6_41
<=> int_leq(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_41])]) ).
fof(f403,plain,
( spl6_47
<=> int_less(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_47])]) ).
fof(f1911,plain,
( int_leq(sK3,sK1)
| ~ spl6_20
| ~ spl6_47 ),
inference(resolution,[],[f405,f168]) ).
fof(f405,plain,
( int_less(sK3,sK1)
| ~ spl6_47 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f17051,plain,
( ~ spl6_36
| ~ spl6_8
| ~ spl6_41
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f16619,f412,f349,f107,f305]) ).
fof(f16619,plain,
( ~ int_leq(int_one,sK1)
| ~ int_leq(sK1,n)
| ~ spl6_41
| ~ spl6_48 ),
inference(resolution,[],[f413,f350]) ).
fof(f350,plain,
( int_leq(sK3,sK1)
| ~ spl6_41 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f17050,plain,
( spl6_578
| ~ spl6_26
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f301,f272,f213,f17048]) ).
fof(f301,plain,
( ! [X0] :
( int_less(X0,n)
| ~ int_less(X0,sK4) )
| ~ spl6_26
| ~ spl6_33 ),
inference(resolution,[],[f274,f214]) ).
fof(f17009,plain,
( spl6_339
| ~ spl6_19
| ~ spl6_337 ),
inference(avatar_split_clause,[],[f8416,f8408,f163,f8462]) ).
fof(f8462,plain,
( spl6_339
<=> ! [X0,X1] :
( int_less(X1,sK1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_339])]) ).
fof(f8408,plain,
( spl6_337
<=> ! [X4,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X4)
| ~ int_leq(X1,n)
| real_one = a(X4,X4)
| ~ int_leq(X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_337])]) ).
fof(f8416,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,sK1) )
| ~ spl6_19
| ~ spl6_337 ),
inference(resolution,[],[f8409,f164]) ).
fof(f8409,plain,
( ! [X1,X4] :
( ~ int_leq(sK1,X4)
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,n)
| real_one = a(X4,X4)
| ~ int_leq(X4,X1) )
| ~ spl6_337 ),
inference(avatar_component_clause,[],[f8408]) ).
fof(f16996,plain,
( spl6_3
| ~ spl6_20
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f302,f272,f167,f84]) ).
fof(f302,plain,
( int_leq(sK4,n)
| ~ spl6_20
| ~ spl6_33 ),
inference(resolution,[],[f274,f168]) ).
fof(f16995,plain,
( spl6_308
| spl6_241
| ~ spl6_7
| ~ spl6_337 ),
inference(avatar_split_clause,[],[f16920,f8408,f103,f4676,f7490]) ).
fof(f7490,plain,
( spl6_308
<=> real_one = a(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_308])]) ).
fof(f4676,plain,
( spl6_241
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_241])]) ).
fof(f16920,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(sK1,sK1) )
| ~ spl6_7
| ~ spl6_337 ),
inference(duplicate_literal_removal,[],[f16906]) ).
fof(f16906,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(sK1,sK1)
| ~ int_leq(sK1,X0) )
| ~ spl6_7
| ~ spl6_337 ),
inference(resolution,[],[f8409,f104]) ).
fof(f16973,plain,
( spl6_241
| spl6_4
| ~ spl6_7
| ~ spl6_161
| ~ spl6_337 ),
inference(avatar_split_clause,[],[f16869,f8408,f2013,f103,f89,f4676]) ).
fof(f2013,plain,
( spl6_161
<=> real_zero = a(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_161])]) ).
fof(f16869,plain,
( ! [X0] :
( real_zero = real_one
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) )
| ~ spl6_7
| ~ spl6_161
| ~ spl6_337 ),
inference(forward_demodulation,[],[f8426,f2015]) ).
fof(f2015,plain,
( real_zero = a(sK1,sK1)
| ~ spl6_161 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f8426,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(sK1,sK1) )
| ~ spl6_7
| ~ spl6_337 ),
inference(duplicate_literal_removal,[],[f8415]) ).
fof(f8415,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(sK1,sK1)
| ~ int_leq(sK1,X0) )
| ~ spl6_7
| ~ spl6_337 ),
inference(resolution,[],[f8409,f104]) ).
fof(f16862,plain,
( ~ spl6_14
| ~ spl6_2
| ~ spl6_7
| ~ spl6_48 ),
inference(avatar_split_clause,[],[f16620,f412,f103,f79,f141]) ).
fof(f79,plain,
( spl6_2
<=> int_leq(int_one,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f16620,plain,
( ~ int_leq(int_one,sK3)
| ~ int_leq(sK3,n)
| ~ spl6_7
| ~ spl6_48 ),
inference(resolution,[],[f413,f104]) ).
fof(f16861,plain,
( spl6_577
| ~ spl6_9
| ~ spl6_26
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f15725,f272,f213,f112,f16859]) ).
fof(f15725,plain,
( ! [X0] :
( ~ int_less(X0,sK3)
| int_less(X0,n) )
| ~ spl6_9
| ~ spl6_26
| ~ spl6_33 ),
inference(forward_demodulation,[],[f301,f114]) ).
fof(f114,plain,
( sK3 = sK4
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f16857,plain,
( spl6_576
| ~ spl6_26
| ~ spl6_47 ),
inference(avatar_split_clause,[],[f1910,f403,f213,f16855]) ).
fof(f1910,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,sK3) )
| ~ spl6_26
| ~ spl6_47 ),
inference(resolution,[],[f405,f214]) ).
fof(f16791,plain,
( spl6_14
| ~ spl6_9
| ~ spl6_20
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f415,f272,f167,f112,f141]) ).
fof(f415,plain,
( int_leq(sK3,n)
| ~ spl6_9
| ~ spl6_20
| ~ spl6_33 ),
inference(forward_demodulation,[],[f302,f114]) ).
fof(f16670,plain,
( spl6_575
| ~ spl6_19
| ~ spl6_30 ),
inference(avatar_split_clause,[],[f363,f249,f163,f16668]) ).
fof(f363,plain,
( ! [X0,X1] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one) )
| ~ spl6_19
| ~ spl6_30 ),
inference(resolution,[],[f250,f164]) ).
fof(f16666,plain,
( spl6_574
| spl6_29
| ~ spl6_7
| ~ spl6_30 ),
inference(avatar_split_clause,[],[f7172,f249,f103,f246,f16663]) ).
fof(f16663,plain,
( spl6_574
<=> real_one = a(int_one,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_574])]) ).
fof(f246,plain,
( spl6_29
<=> ! [X0] :
( ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_29])]) ).
fof(f7172,plain,
( ! [X0] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(int_one,int_one) )
| ~ spl6_7
| ~ spl6_30 ),
inference(duplicate_literal_removal,[],[f362]) ).
fof(f362,plain,
( ! [X0] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(int_one,int_one)
| ~ int_leq(int_one,X0) )
| ~ spl6_7
| ~ spl6_30 ),
inference(resolution,[],[f250,f104]) ).
fof(f16650,plain,
( spl6_160
| spl6_8
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f360,f163,f107,f2002]) ).
fof(f360,plain,
( int_less(sK1,int_one)
| spl6_8
| ~ spl6_19 ),
inference(resolution,[],[f108,f164]) ).
fof(f108,plain,
( ~ int_leq(int_one,sK1)
| spl6_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f16633,plain,
( spl6_157
| spl6_4
| ~ spl6_7
| ~ spl6_12
| ~ spl6_42 ),
inference(avatar_split_clause,[],[f16575,f355,f129,f103,f89,f1924]) ).
fof(f1924,plain,
( spl6_157
<=> ! [X0] :
( ~ int_leq(sK3,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_157])]) ).
fof(f355,plain,
( spl6_42
<=> ! [X4,X1] :
( ~ int_leq(sK3,X4)
| ~ int_leq(sK3,X1)
| real_one = a(X4,X4)
| ~ int_leq(X1,n)
| ~ int_leq(X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_42])]) ).
fof(f16575,plain,
( ! [X0] :
( real_zero = real_one
| ~ int_leq(sK3,X0)
| ~ int_leq(X0,n) )
| ~ spl6_7
| ~ spl6_12
| ~ spl6_42 ),
inference(forward_demodulation,[],[f16574,f130]) ).
fof(f16574,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| real_one = a(sK3,sK3)
| ~ int_leq(X0,n) )
| ~ spl6_7
| ~ spl6_42 ),
inference(duplicate_literal_removal,[],[f16561]) ).
fof(f16561,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| real_one = a(sK3,sK3)
| ~ int_leq(X0,n)
| ~ int_leq(sK3,X0) )
| ~ spl6_7
| ~ spl6_42 ),
inference(resolution,[],[f356,f104]) ).
fof(f356,plain,
( ! [X1,X4] :
( ~ int_leq(sK3,X4)
| ~ int_leq(sK3,X1)
| real_one = a(X4,X4)
| ~ int_leq(X1,n)
| ~ int_leq(X4,X1) )
| ~ spl6_42 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f16615,plain,
( ~ spl6_570
| ~ spl6_9
| spl6_32 ),
inference(avatar_split_clause,[],[f15801,f268,f112,f15176]) ).
fof(f15176,plain,
( spl6_570
<=> n = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_570])]) ).
fof(f15801,plain,
( n != sK3
| ~ spl6_9
| spl6_32 ),
inference(forward_demodulation,[],[f269,f114]) ).
fof(f269,plain,
( n != sK4
| spl6_32 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f16468,plain,
( ~ spl6_315
| ~ spl6_46
| spl6_80 ),
inference(avatar_split_clause,[],[f15707,f750,f399,f7627]) ).
fof(f399,plain,
( spl6_46
<=> sK1 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_46])]) ).
fof(f15707,plain,
( ~ int_leq(sK1,sK1)
| ~ spl6_46
| spl6_80 ),
inference(superposition,[],[f751,f401]) ).
fof(f401,plain,
( sK1 = sK3
| ~ spl6_46 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f751,plain,
( ~ int_leq(sK1,sK3)
| spl6_80 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f16417,plain,
( ~ spl6_51
| ~ spl6_46
| spl6_251 ),
inference(avatar_split_clause,[],[f15569,f5836,f399,f436]) ).
fof(f15569,plain,
( ~ int_leq(sK1,sK2)
| ~ spl6_46
| spl6_251 ),
inference(superposition,[],[f5838,f401]) ).
fof(f5838,plain,
( ~ int_leq(sK3,sK2)
| spl6_251 ),
inference(avatar_component_clause,[],[f5836]) ).
fof(f16398,plain,
( spl6_97
| ~ spl6_34
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f15531,f399,f281,f1012]) ).
fof(f15531,plain,
( int_less(n,sK1)
| ~ spl6_34
| ~ spl6_46 ),
inference(superposition,[],[f283,f401]) ).
fof(f283,plain,
( int_less(n,sK3)
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f16155,plain,
( spl6_573
| ~ spl6_46
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f15904,f7761,f399,f16153]) ).
fof(f15904,plain,
( ! [X0,X1] :
( ~ int_less(sK1,X0)
| ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1) )
| ~ spl6_46
| ~ spl6_319 ),
inference(forward_demodulation,[],[f7762,f401]) ).
fof(f16127,plain,
( spl6_13
| ~ spl6_20
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f8446,f490,f167,f134]) ).
fof(f16102,plain,
( spl6_572
| ~ spl6_46
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f15876,f8634,f399,f16100]) ).
fof(f15876,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2) )
| ~ spl6_46
| ~ spl6_344 ),
inference(forward_demodulation,[],[f8635,f401]) ).
fof(f15827,plain,
( spl6_307
| ~ spl6_46
| ~ spl6_306 ),
inference(avatar_split_clause,[],[f15669,f7353,f399,f7357]) ).
fof(f7357,plain,
( spl6_307
<=> ! [X0] :
( ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_307])]) ).
fof(f7353,plain,
( spl6_306
<=> ! [X0] :
( ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_306])]) ).
fof(f15669,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2) )
| ~ spl6_46
| ~ spl6_306 ),
inference(duplicate_literal_removal,[],[f15592]) ).
fof(f15592,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2) )
| ~ spl6_46
| ~ spl6_306 ),
inference(superposition,[],[f7354,f401]) ).
fof(f7354,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2) )
| ~ spl6_306 ),
inference(avatar_component_clause,[],[f7353]) ).
fof(f15825,plain,
( spl6_241
| ~ spl6_46
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f15668,f8430,f399,f4676]) ).
fof(f15668,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) )
| ~ spl6_46
| ~ spl6_338 ),
inference(duplicate_literal_removal,[],[f15593]) ).
fof(f15593,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) )
| ~ spl6_46
| ~ spl6_338 ),
inference(superposition,[],[f8431,f401]) ).
fof(f15808,plain,
( spl6_4
| ~ spl6_161
| ~ spl6_308 ),
inference(avatar_split_clause,[],[f15315,f7490,f2013,f89]) ).
fof(f15315,plain,
( real_zero = real_one
| ~ spl6_161
| ~ spl6_308 ),
inference(forward_demodulation,[],[f2015,f7492]) ).
fof(f7492,plain,
( real_one = a(sK1,sK1)
| ~ spl6_308 ),
inference(avatar_component_clause,[],[f7490]) ).
fof(f15807,plain,
( ~ spl6_571
| ~ spl6_46
| spl6_570 ),
inference(avatar_split_clause,[],[f15800,f15176,f399,f15804]) ).
fof(f15800,plain,
( n != sK1
| ~ spl6_46
| spl6_570 ),
inference(forward_demodulation,[],[f15177,f401]) ).
fof(f15177,plain,
( n != sK3
| spl6_570 ),
inference(avatar_component_clause,[],[f15176]) ).
fof(f15708,plain,
( spl6_80
| ~ spl6_36
| ~ spl6_570 ),
inference(avatar_split_clause,[],[f15182,f15176,f305,f750]) ).
fof(f15182,plain,
( int_leq(sK1,sK3)
| ~ spl6_36
| ~ spl6_570 ),
inference(superposition,[],[f306,f15178]) ).
fof(f15178,plain,
( n = sK3
| ~ spl6_570 ),
inference(avatar_component_clause,[],[f15176]) ).
fof(f15246,plain,
( ~ spl6_14
| ~ spl6_80
| ~ spl6_7
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f8434,f8430,f103,f750,f141]) ).
fof(f8434,plain,
( ~ int_leq(sK1,sK3)
| ~ int_leq(sK3,n)
| ~ spl6_7
| ~ spl6_338 ),
inference(resolution,[],[f8431,f104]) ).
fof(f15179,plain,
( spl6_570
| ~ spl6_9
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f15165,f268,f112,f15176]) ).
fof(f15165,plain,
( n = sK3
| ~ spl6_9
| ~ spl6_32 ),
inference(forward_demodulation,[],[f270,f114]) ).
fof(f15119,plain,
( ~ spl6_315
| spl6_16
| ~ spl6_7
| ~ spl6_64
| ~ spl6_331 ),
inference(avatar_split_clause,[],[f15100,f8082,f532,f103,f150,f7627]) ).
fof(f8082,plain,
( spl6_331
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_331])]) ).
fof(f15100,plain,
( real_zero = a(sK1,sK2)
| ~ int_leq(sK1,sK1)
| ~ spl6_7
| ~ spl6_64
| ~ spl6_331 ),
inference(forward_demodulation,[],[f15082,f534]) ).
fof(f15082,plain,
( real_zero = a(sK1,plus(sK1,sK5(sK1,sK2)))
| ~ int_leq(sK1,sK1)
| ~ spl6_7
| ~ spl6_331 ),
inference(resolution,[],[f8083,f104]) ).
fof(f8083,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(X0,sK1) )
| ~ spl6_331 ),
inference(avatar_component_clause,[],[f8082]) ).
fof(f15073,plain,
( spl6_297
| ~ spl6_36
| ~ spl6_330
| spl6_331
| ~ spl6_315
| ~ spl6_51
| ~ spl6_64
| ~ spl6_341 ),
inference(avatar_split_clause,[],[f8548,f8485,f532,f436,f7627,f8082,f8078,f305,f7048]) ).
fof(f7048,plain,
( spl6_297
<=> int_less(n,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_297])]) ).
fof(f8485,plain,
( spl6_341
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X1,n)
| int_less(n,plus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_341])]) ).
fof(f8548,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,sK1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(sK1,n)
| int_less(n,sK2) )
| ~ spl6_64
| ~ spl6_341 ),
inference(superposition,[],[f8486,f534]) ).
fof(f8486,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X1,n)
| int_less(n,plus(X1,X2)) )
| ~ spl6_341 ),
inference(avatar_component_clause,[],[f8485]) ).
fof(f15072,plain,
( ~ spl6_247
| ~ spl6_297
| ~ spl6_113
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1355,f1285,f1169,f7048,f5362]) ).
fof(f1355,plain,
( ~ int_less(n,sK2)
| ~ int_less(int_zero,sK5(sK2,n))
| ~ spl6_113
| ~ spl6_122 ),
inference(superposition,[],[f1286,f1171]) ).
fof(f15070,plain,
( spl6_569
| ~ spl6_55
| ~ spl6_542 ),
inference(avatar_split_clause,[],[f14400,f14396,f469,f15067]) ).
fof(f15067,plain,
( spl6_569
<=> sK1 = plus(sK2,sK5(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_569])]) ).
fof(f469,plain,
( spl6_55
<=> int_one = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_55])]) ).
fof(f14396,plain,
( spl6_542
<=> int_one = plus(sK2,sK5(sK2,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_542])]) ).
fof(f14400,plain,
( sK1 = plus(sK2,sK5(sK2,sK1))
| ~ spl6_55
| ~ spl6_542 ),
inference(forward_demodulation,[],[f14398,f471]) ).
fof(f471,plain,
( int_one = sK1
| ~ spl6_55 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f14398,plain,
( int_one = plus(sK2,sK5(sK2,int_one))
| ~ spl6_542 ),
inference(avatar_component_clause,[],[f14396]) ).
fof(f15065,plain,
( spl6_568
| ~ spl6_55
| ~ spl6_523 ),
inference(avatar_split_clause,[],[f13367,f13364,f469,f15063]) ).
fof(f15063,plain,
( spl6_568
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_568])]) ).
fof(f13364,plain,
( spl6_523
<=> ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_523])]) ).
fof(f13367,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,sK2) )
| ~ spl6_55
| ~ spl6_523 ),
inference(forward_demodulation,[],[f13365,f471]) ).
fof(f13365,plain,
( ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,sK2) )
| ~ spl6_523 ),
inference(avatar_component_clause,[],[f13364]) ).
fof(f15056,plain,
( spl6_301
| ~ spl6_55
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f7392,f1027,f469,f7068]) ).
fof(f1027,plain,
( spl6_100
<=> int_less(sK2,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_100])]) ).
fof(f7392,plain,
( int_less(sK2,sK1)
| ~ spl6_55
| ~ spl6_100 ),
inference(superposition,[],[f1029,f471]) ).
fof(f1029,plain,
( int_less(sK2,int_one)
| ~ spl6_100 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f14992,plain,
( ~ spl6_330
| spl6_567
| ~ spl6_315
| spl6_566
| ~ spl6_51
| ~ spl6_64
| ~ spl6_317 ),
inference(avatar_split_clause,[],[f7675,f7641,f532,f436,f14965,f7627,f14990,f8078]) ).
fof(f14965,plain,
( spl6_566
<=> int_less(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_566])]) ).
fof(f7641,plain,
( spl6_317
<=> ! [X2,X0,X1] :
( int_less(sK2,plus(X1,X2))
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_317])]) ).
fof(f7675,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| int_less(sK2,sK2)
| ~ int_leq(sK1,sK1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| a(plus(X0,sK5(sK1,sK2)),X0) = qr(plus(X0,sK5(sK1,sK2)),X0) )
| ~ spl6_64
| ~ spl6_317 ),
inference(duplicate_literal_removal,[],[f7670]) ).
fof(f7670,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| int_less(sK2,sK2)
| ~ int_leq(sK1,sK1)
| ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| a(plus(X0,sK5(sK1,sK2)),X0) = qr(plus(X0,sK5(sK1,sK2)),X0) )
| ~ spl6_64
| ~ spl6_317 ),
inference(superposition,[],[f7642,f534]) ).
fof(f7642,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| int_less(sK2,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0) )
| ~ spl6_317 ),
inference(avatar_component_clause,[],[f7641]) ).
fof(f14987,plain,
( ~ spl6_6
| ~ spl6_566 ),
inference(avatar_contradiction_clause,[],[f14970]) ).
fof(f14970,plain,
( $false
| ~ spl6_6
| ~ spl6_566 ),
inference(resolution,[],[f14967,f100]) ).
fof(f14967,plain,
( int_less(sK2,sK2)
| ~ spl6_566 ),
inference(avatar_component_clause,[],[f14965]) ).
fof(f14968,plain,
( ~ spl6_330
| spl6_331
| spl6_566
| ~ spl6_315
| ~ spl6_51
| ~ spl6_64
| ~ spl6_312 ),
inference(avatar_split_clause,[],[f7574,f7540,f532,f436,f7627,f14965,f8082,f8078]) ).
fof(f7540,plain,
( spl6_312
<=> ! [X2,X0,X1] :
( int_less(sK2,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_312])]) ).
fof(f7574,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,sK1)
| int_less(sK2,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2))) )
| ~ spl6_64
| ~ spl6_312 ),
inference(duplicate_literal_removal,[],[f7569]) ).
fof(f7569,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,sK1)
| ~ int_leq(sK1,sK2)
| int_less(sK2,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2))) )
| ~ spl6_64
| ~ spl6_312 ),
inference(superposition,[],[f7541,f534]) ).
fof(f7541,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| int_less(sK2,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2)) )
| ~ spl6_312 ),
inference(avatar_component_clause,[],[f7540]) ).
fof(f14945,plain,
( ~ spl6_330
| ~ spl6_301
| ~ spl6_64
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1353,f1285,f532,f7068,f8078]) ).
fof(f1353,plain,
( ~ int_less(sK2,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| ~ spl6_64
| ~ spl6_122 ),
inference(superposition,[],[f1286,f534]) ).
fof(f14944,plain,
( spl6_565
| ~ spl6_21
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1344,f1285,f179,f14942]) ).
fof(f14942,plain,
( spl6_565
<=> ! [X0,X1] :
( ~ int_less(plus(X1,X0),X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_565])]) ).
fof(f1344,plain,
( ! [X0,X1] :
( ~ int_less(plus(X1,X0),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_21
| ~ spl6_122 ),
inference(superposition,[],[f1286,f180]) ).
fof(f14939,plain,
( spl6_564
| ~ spl6_21
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1307,f1259,f179,f14937]) ).
fof(f14937,plain,
( spl6_564
<=> ! [X0] :
( int_less(int_zero,plus(X0,int_one))
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_564])]) ).
fof(f1307,plain,
( ! [X0] :
( int_less(int_zero,plus(X0,int_one))
| ~ int_less(int_zero,X0) )
| ~ spl6_21
| ~ spl6_118 ),
inference(superposition,[],[f1260,f180]) ).
fof(f14934,plain,
( spl6_563
| ~ spl6_20
| ~ spl6_118 ),
inference(avatar_split_clause,[],[f1303,f1259,f167,f14932]) ).
fof(f14932,plain,
( spl6_563
<=> ! [X0] :
( ~ int_less(int_zero,X0)
| int_leq(int_zero,plus(int_one,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_563])]) ).
fof(f1303,plain,
( ! [X0] :
( ~ int_less(int_zero,X0)
| int_leq(int_zero,plus(int_one,X0)) )
| ~ spl6_20
| ~ spl6_118 ),
inference(resolution,[],[f1260,f168]) ).
fof(f14929,plain,
( spl6_562
| ~ spl6_20
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f1297,f1255,f167,f14927]) ).
fof(f14927,plain,
( spl6_562
<=> ! [X0] :
( sK5(int_zero,X0) = X0
| int_leq(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_562])]) ).
fof(f1297,plain,
( ! [X0] :
( sK5(int_zero,X0) = X0
| int_leq(X0,int_one) )
| ~ spl6_20
| ~ spl6_117 ),
inference(resolution,[],[f1256,f168]) ).
fof(f14921,plain,
( spl6_561
| ~ spl6_107
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f1288,f1255,f1116,f14919]) ).
fof(f14919,plain,
( spl6_561
<=> ! [X0] :
( sK5(int_zero,X0) = X0
| int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_561])]) ).
fof(f1288,plain,
( ! [X0] :
( sK5(int_zero,X0) = X0
| int_less(X0,sK1) )
| ~ spl6_107
| ~ spl6_117 ),
inference(resolution,[],[f1256,f1117]) ).
fof(f14917,plain,
( spl6_560
| ~ spl6_26
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1278,f1267,f213,f14915]) ).
fof(f14915,plain,
( spl6_560
<=> ! [X0] :
( int_less(X0,sK2)
| ~ int_less(X0,sK5(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_560])]) ).
fof(f1267,plain,
( spl6_120
<=> int_less(sK5(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_120])]) ).
fof(f1278,plain,
( ! [X0] :
( int_less(X0,sK2)
| ~ int_less(X0,sK5(sK1,sK2)) )
| ~ spl6_26
| ~ spl6_120 ),
inference(resolution,[],[f1269,f214]) ).
fof(f1269,plain,
( int_less(sK5(sK1,sK2),sK2)
| ~ spl6_120 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f14892,plain,
( ~ spl6_102
| spl6_559
| ~ spl6_68
| ~ spl6_113 ),
inference(avatar_split_clause,[],[f1222,f1169,f559,f14889,f1053]) ).
fof(f1053,plain,
( spl6_102
<=> int_less(int_zero,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_102])]) ).
fof(f14889,plain,
( spl6_559
<=> int_less(sK5(sK2,n),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_559])]) ).
fof(f1222,plain,
( int_less(sK5(sK2,n),n)
| ~ int_less(int_zero,sK2)
| ~ spl6_68
| ~ spl6_113 ),
inference(superposition,[],[f560,f1171]) ).
fof(f14648,plain,
( spl6_558
| ~ spl6_55
| ~ spl6_547 ),
inference(avatar_split_clause,[],[f14541,f14538,f469,f14646]) ).
fof(f14646,plain,
( spl6_558
<=> ! [X0] :
( ~ int_leq(plus(X0,sK1),n)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_558])]) ).
fof(f14538,plain,
( spl6_547
<=> ! [X0] :
( ~ int_leq(plus(X0,int_one),n)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_547])]) ).
fof(f14541,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),n)
| ~ int_less(int_zero,X0) )
| ~ spl6_55
| ~ spl6_547 ),
inference(forward_demodulation,[],[f14539,f471]) ).
fof(f14539,plain,
( ! [X0] :
( ~ int_leq(plus(X0,int_one),n)
| ~ int_less(int_zero,X0) )
| ~ spl6_547 ),
inference(avatar_component_clause,[],[f14538]) ).
fof(f14639,plain,
( spl6_557
| ~ spl6_55
| ~ spl6_546 ),
inference(avatar_split_clause,[],[f14536,f14533,f469,f14637]) ).
fof(f14637,plain,
( spl6_557
<=> ! [X0] :
( int_less(n,plus(sK1,X0))
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_557])]) ).
fof(f14533,plain,
( spl6_546
<=> ! [X0] :
( ~ int_less(int_zero,X0)
| int_less(n,plus(int_one,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_546])]) ).
fof(f14536,plain,
( ! [X0] :
( int_less(n,plus(sK1,X0))
| ~ int_less(int_zero,X0) )
| ~ spl6_55
| ~ spl6_546 ),
inference(forward_demodulation,[],[f14534,f471]) ).
fof(f14534,plain,
( ! [X0] :
( ~ int_less(int_zero,X0)
| int_less(n,plus(int_one,X0)) )
| ~ spl6_546 ),
inference(avatar_component_clause,[],[f14533]) ).
fof(f14635,plain,
( spl6_556
| ~ spl6_26
| ~ spl6_330 ),
inference(avatar_split_clause,[],[f12927,f8078,f213,f14633]) ).
fof(f14633,plain,
( spl6_556
<=> ! [X0] :
( int_less(X0,sK5(sK1,sK2))
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_556])]) ).
fof(f12927,plain,
( ! [X0] :
( int_less(X0,sK5(sK1,sK2))
| ~ int_less(X0,int_zero) )
| ~ spl6_26
| ~ spl6_330 ),
inference(resolution,[],[f8079,f214]) ).
fof(f14631,plain,
( spl6_555
| ~ spl6_129
| ~ spl6_330 ),
inference(avatar_split_clause,[],[f12917,f8078,f1386,f14629]) ).
fof(f14629,plain,
( spl6_555
<=> ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,sK5(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_555])]) ).
fof(f1386,plain,
( spl6_129
<=> ! [X0,X1] :
( int_leq(X0,X1)
| ~ int_leq(X0,int_zero)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_129])]) ).
fof(f12917,plain,
( ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,sK5(sK1,sK2)) )
| ~ spl6_129
| ~ spl6_330 ),
inference(resolution,[],[f8079,f1387]) ).
fof(f1387,plain,
( ! [X0,X1] :
( ~ int_less(int_zero,X1)
| ~ int_leq(X0,int_zero)
| int_leq(X0,X1) )
| ~ spl6_129 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f14627,plain,
( spl6_554
| ~ spl6_166
| ~ spl6_363 ),
inference(avatar_split_clause,[],[f12812,f9138,f2246,f14625]) ).
fof(f14625,plain,
( spl6_554
<=> ! [X0] :
( int_leq(sK2,plus(X0,sK2))
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_554])]) ).
fof(f2246,plain,
( spl6_166
<=> ! [X0,X1] :
( int_leq(sK2,plus(X0,X1))
| ~ int_leq(sK5(sK1,sK2),X1)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_166])]) ).
fof(f12812,plain,
( ! [X0] :
( int_leq(sK2,plus(X0,sK2))
| ~ int_less(sK1,X0) )
| ~ spl6_166
| ~ spl6_363 ),
inference(resolution,[],[f9139,f2247]) ).
fof(f2247,plain,
( ! [X0,X1] :
( ~ int_leq(sK5(sK1,sK2),X1)
| int_leq(sK2,plus(X0,X1))
| ~ int_less(sK1,X0) )
| ~ spl6_166 ),
inference(avatar_component_clause,[],[f2246]) ).
fof(f14623,plain,
( spl6_553
| ~ spl6_173
| ~ spl6_363 ),
inference(avatar_split_clause,[],[f12811,f9138,f2274,f14621]) ).
fof(f14621,plain,
( spl6_553
<=> ! [X0] :
( int_leq(sK2,plus(sK2,X0))
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_553])]) ).
fof(f2274,plain,
( spl6_173
<=> ! [X0,X1] :
( int_leq(sK2,plus(X0,X1))
| ~ int_leq(sK5(sK1,sK2),X0)
| ~ int_less(sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_173])]) ).
fof(f12811,plain,
( ! [X0] :
( int_leq(sK2,plus(sK2,X0))
| ~ int_less(sK1,X0) )
| ~ spl6_173
| ~ spl6_363 ),
inference(resolution,[],[f9139,f2275]) ).
fof(f2275,plain,
( ! [X0,X1] :
( ~ int_leq(sK5(sK1,sK2),X0)
| int_leq(sK2,plus(X0,X1))
| ~ int_less(sK1,X1) )
| ~ spl6_173 ),
inference(avatar_component_clause,[],[f2274]) ).
fof(f14619,plain,
( spl6_552
| ~ spl6_167
| ~ spl6_362 ),
inference(avatar_split_clause,[],[f9422,f9134,f2250,f14617]) ).
fof(f14617,plain,
( spl6_552
<=> ! [X0] :
( int_leq(plus(X0,sK1),sK2)
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_552])]) ).
fof(f2250,plain,
( spl6_167
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK2)
| ~ int_leq(X1,sK5(sK1,sK2))
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_167])]) ).
fof(f9134,plain,
( spl6_362
<=> int_leq(sK1,sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_362])]) ).
fof(f9422,plain,
( ! [X0] :
( int_leq(plus(X0,sK1),sK2)
| ~ int_less(X0,sK1) )
| ~ spl6_167
| ~ spl6_362 ),
inference(resolution,[],[f9135,f2251]) ).
fof(f2251,plain,
( ! [X0,X1] :
( ~ int_leq(X1,sK5(sK1,sK2))
| int_leq(plus(X0,X1),sK2)
| ~ int_less(X0,sK1) )
| ~ spl6_167 ),
inference(avatar_component_clause,[],[f2250]) ).
fof(f9135,plain,
( int_leq(sK1,sK5(sK1,sK2))
| ~ spl6_362 ),
inference(avatar_component_clause,[],[f9134]) ).
fof(f14615,plain,
( spl6_551
| ~ spl6_172
| ~ spl6_362 ),
inference(avatar_split_clause,[],[f9421,f9134,f2270,f14613]) ).
fof(f14613,plain,
( spl6_551
<=> ! [X0] :
( int_leq(plus(sK1,X0),sK2)
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_551])]) ).
fof(f2270,plain,
( spl6_172
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK2)
| ~ int_leq(X0,sK5(sK1,sK2))
| ~ int_less(X1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_172])]) ).
fof(f9421,plain,
( ! [X0] :
( int_leq(plus(sK1,X0),sK2)
| ~ int_less(X0,sK1) )
| ~ spl6_172
| ~ spl6_362 ),
inference(resolution,[],[f9135,f2271]) ).
fof(f2271,plain,
( ! [X0,X1] :
( ~ int_leq(X0,sK5(sK1,sK2))
| int_leq(plus(X0,X1),sK2)
| ~ int_less(X1,sK1) )
| ~ spl6_172 ),
inference(avatar_component_clause,[],[f2270]) ).
fof(f14589,plain,
( spl6_550
| ~ spl6_67
| ~ spl6_339 ),
inference(avatar_split_clause,[],[f8472,f8462,f555,f14587]) ).
fof(f14587,plain,
( spl6_550
<=> ! [X0,X1] :
( int_less(X0,sK1)
| ~ int_leq(plus(sK1,X1),n)
| real_one = a(X0,X0)
| ~ int_leq(X0,plus(sK1,X1))
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_550])]) ).
fof(f8472,plain,
( ! [X0,X1] :
( int_less(X0,sK1)
| ~ int_leq(plus(sK1,X1),n)
| real_one = a(X0,X0)
| ~ int_leq(X0,plus(sK1,X1))
| ~ int_less(int_zero,X1) )
| ~ spl6_67
| ~ spl6_339 ),
inference(resolution,[],[f8463,f556]) ).
fof(f8463,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,X0)
| int_less(X1,sK1)
| ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0) )
| ~ spl6_339 ),
inference(avatar_component_clause,[],[f8462]) ).
fof(f14550,plain,
( spl6_549
| ~ spl6_55
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f7399,f1237,f469,f14548]) ).
fof(f14548,plain,
( spl6_549
<=> ! [X0] :
( ~ int_leq(plus(sK1,X0),n)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_549])]) ).
fof(f1237,plain,
( spl6_116
<=> ! [X0] :
( ~ int_less(int_zero,X0)
| ~ int_leq(plus(int_one,X0),n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_116])]) ).
fof(f7399,plain,
( ! [X0] :
( ~ int_leq(plus(sK1,X0),n)
| ~ int_less(int_zero,X0) )
| ~ spl6_55
| ~ spl6_116 ),
inference(superposition,[],[f1238,f471]) ).
fof(f1238,plain,
( ! [X0] :
( ~ int_leq(plus(int_one,X0),n)
| ~ int_less(int_zero,X0) )
| ~ spl6_116 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f14546,plain,
( ~ spl6_548
| ~ spl6_21
| ~ spl6_55
| spl6_465 ),
inference(avatar_split_clause,[],[f11683,f11678,f469,f179,f14543]) ).
fof(f14543,plain,
( spl6_548
<=> int_less(sK1,plus(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_548])]) ).
fof(f11683,plain,
( ~ int_less(sK1,plus(sK1,sK3))
| ~ spl6_21
| ~ spl6_55
| spl6_465 ),
inference(forward_demodulation,[],[f11682,f180]) ).
fof(f11682,plain,
( ~ int_less(sK1,plus(sK3,sK1))
| ~ spl6_55
| spl6_465 ),
inference(forward_demodulation,[],[f11680,f471]) ).
fof(f14540,plain,
( spl6_547
| ~ spl6_21
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1249,f1237,f179,f14538]) ).
fof(f1249,plain,
( ! [X0] :
( ~ int_leq(plus(X0,int_one),n)
| ~ int_less(int_zero,X0) )
| ~ spl6_21
| ~ spl6_116 ),
inference(superposition,[],[f1238,f180]) ).
fof(f14535,plain,
( spl6_546
| ~ spl6_19
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1245,f1237,f163,f14533]) ).
fof(f1245,plain,
( ! [X0] :
( ~ int_less(int_zero,X0)
| int_less(n,plus(int_one,X0)) )
| ~ spl6_19
| ~ spl6_116 ),
inference(resolution,[],[f1238,f164]) ).
fof(f14515,plain,
( spl6_545
| ~ spl6_96
| ~ spl6_357 ),
inference(avatar_split_clause,[],[f8997,f8972,f985,f14513]) ).
fof(f14513,plain,
( spl6_545
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(X1,n)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(sK1,X1)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_545])]) ).
fof(f8972,plain,
( spl6_357
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_357])]) ).
fof(f8997,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(X1,n)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(sK1,X1)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK1,X0) )
| ~ spl6_96
| ~ spl6_357 ),
inference(superposition,[],[f8973,f986]) ).
fof(f8973,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(X0,n)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) )
| ~ spl6_357 ),
inference(avatar_component_clause,[],[f8972]) ).
fof(f14511,plain,
( spl6_544
| ~ spl6_96
| ~ spl6_329 ),
inference(avatar_split_clause,[],[f8056,f8031,f985,f14509]) ).
fof(f8056,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),X1)
| ~ int_leq(X1,sK2)
| real_one = a(plus(X0,sK3),plus(X0,sK3))
| ~ int_leq(sK1,X1)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK1,X0) )
| ~ spl6_96
| ~ spl6_329 ),
inference(superposition,[],[f8032,f986]) ).
fof(f14405,plain,
( spl6_543
| ~ spl6_27
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1066,f1053,f226,f14402]) ).
fof(f14402,plain,
( spl6_543
<=> sK2 = plus(int_zero,sK5(int_zero,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_543])]) ).
fof(f1066,plain,
( sK2 = plus(int_zero,sK5(int_zero,sK2))
| ~ spl6_27
| ~ spl6_102 ),
inference(resolution,[],[f1055,f227]) ).
fof(f1055,plain,
( int_less(int_zero,sK2)
| ~ spl6_102 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f14399,plain,
( spl6_542
| ~ spl6_27
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1044,f1027,f226,f14396]) ).
fof(f1044,plain,
( int_one = plus(sK2,sK5(sK2,int_one))
| ~ spl6_27
| ~ spl6_100 ),
inference(resolution,[],[f1029,f227]) ).
fof(f14386,plain,
( spl6_541
| ~ spl6_21
| ~ spl6_55
| ~ spl6_464 ),
inference(avatar_split_clause,[],[f11347,f11342,f469,f179,f14383]) ).
fof(f14383,plain,
( spl6_541
<=> int_less(n,plus(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_541])]) ).
fof(f11342,plain,
( spl6_464
<=> int_less(n,plus(sK3,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_464])]) ).
fof(f11347,plain,
( int_less(n,plus(sK1,sK3))
| ~ spl6_21
| ~ spl6_55
| ~ spl6_464 ),
inference(forward_demodulation,[],[f11346,f180]) ).
fof(f11346,plain,
( int_less(n,plus(sK3,sK1))
| ~ spl6_55
| ~ spl6_464 ),
inference(forward_demodulation,[],[f11344,f471]) ).
fof(f11344,plain,
( int_less(n,plus(sK3,int_one))
| ~ spl6_464 ),
inference(avatar_component_clause,[],[f11342]) ).
fof(f14381,plain,
( spl6_540
| ~ spl6_96
| ~ spl6_355 ),
inference(avatar_split_clause,[],[f8923,f8908,f985,f14379]) ).
fof(f14379,plain,
( spl6_540
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),sK2)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(X0,sK3))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_540])]) ).
fof(f8908,plain,
( spl6_355
<=> ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(X2,sK1)
| real_one = a(X2,X2)
| ~ int_leq(X2,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_355])]) ).
fof(f8923,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,sK3),sK2)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(X0,sK3))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK1,X0) )
| ~ spl6_96
| ~ spl6_355 ),
inference(superposition,[],[f8909,f986]) ).
fof(f8909,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(X2,sK1)
| real_one = a(X2,X2)
| ~ int_leq(X2,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_355 ),
inference(avatar_component_clause,[],[f8908]) ).
fof(f14056,plain,
( spl6_539
| ~ spl6_45
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f5790,f3631,f393,f14054]) ).
fof(f14054,plain,
( spl6_539
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(sK1,X0) = plus(sK3,X1)
| sK5(plus(sK1,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(sK1,X0),plus(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_539])]) ).
fof(f5790,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(sK1,X0) = plus(sK3,X1)
| sK5(plus(sK1,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(sK1,X0),plus(sK3,X1))) )
| ~ spl6_45
| ~ spl6_203 ),
inference(resolution,[],[f395,f3632]) ).
fof(f395,plain,
( int_less(sK1,sK3)
| ~ spl6_45 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f14052,plain,
( spl6_538
| ~ spl6_34
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f3675,f3631,f281,f14050]) ).
fof(f14050,plain,
( spl6_538
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(n,X0) = plus(sK3,X1)
| sK5(plus(n,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(n,X0),plus(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_538])]) ).
fof(f3675,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(n,X0) = plus(sK3,X1)
| sK5(plus(n,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(n,X0),plus(sK3,X1))) )
| ~ spl6_34
| ~ spl6_203 ),
inference(resolution,[],[f3632,f283]) ).
fof(f14046,plain,
( spl6_537
| ~ spl6_38
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f3664,f3631,f319,f14044]) ).
fof(f14044,plain,
( spl6_537
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(int_one,X0) = plus(sK3,X1)
| sK5(plus(int_one,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(int_one,X0),plus(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_537])]) ).
fof(f3664,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(int_one,X0) = plus(sK3,X1)
| sK5(plus(int_one,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(int_one,X0),plus(sK3,X1))) )
| ~ spl6_38
| ~ spl6_203 ),
inference(resolution,[],[f3632,f321]) ).
fof(f321,plain,
( int_less(int_one,sK3)
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f14042,plain,
( spl6_536
| ~ spl6_96
| ~ spl6_201 ),
inference(avatar_split_clause,[],[f3518,f3490,f985,f14040]) ).
fof(f14040,plain,
( spl6_536
<=> ! [X0,X3,X2,X1] :
( ~ int_less(X1,plus(X0,sK3))
| ~ int_leq(sK5(X0,plus(X0,sK3)),X2)
| plus(X3,X2) = plus(X0,sK3)
| int_less(X1,plus(X3,X2))
| ~ int_less(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_536])]) ).
fof(f3490,plain,
( spl6_201
<=> ! [X4,X0,X3,X2,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| int_less(X4,plus(X1,X3))
| ~ int_less(X4,plus(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_201])]) ).
fof(f3518,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(X1,plus(X0,sK3))
| ~ int_leq(sK5(X0,plus(X0,sK3)),X2)
| plus(X3,X2) = plus(X0,sK3)
| int_less(X1,plus(X3,X2))
| ~ int_less(X0,X3) )
| ~ spl6_96
| ~ spl6_201 ),
inference(superposition,[],[f3491,f986]) ).
fof(f3491,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ int_less(X4,plus(X0,X2))
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| int_less(X4,plus(X1,X3))
| ~ int_less(X0,X1) )
| ~ spl6_201 ),
inference(avatar_component_clause,[],[f3490]) ).
fof(f13732,plain,
( spl6_535
| ~ spl6_45
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f5789,f3549,f393,f13730]) ).
fof(f13730,plain,
( spl6_535
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(sK1,X0) = plus(sK3,X1)
| plus(sK3,X1) = plus(plus(sK1,X0),sK5(plus(sK1,X0),plus(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_535])]) ).
fof(f5789,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(sK1,X0) = plus(sK3,X1)
| plus(sK3,X1) = plus(plus(sK1,X0),sK5(plus(sK1,X0),plus(sK3,X1))) )
| ~ spl6_45
| ~ spl6_202 ),
inference(resolution,[],[f395,f3550]) ).
fof(f13728,plain,
( spl6_534
| ~ spl6_34
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f3593,f3549,f281,f13726]) ).
fof(f13726,plain,
( spl6_534
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(n,X0) = plus(sK3,X1)
| plus(sK3,X1) = plus(plus(n,X0),sK5(plus(n,X0),plus(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_534])]) ).
fof(f3593,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(n,X0) = plus(sK3,X1)
| plus(sK3,X1) = plus(plus(n,X0),sK5(plus(n,X0),plus(sK3,X1))) )
| ~ spl6_34
| ~ spl6_202 ),
inference(resolution,[],[f3550,f283]) ).
fof(f13722,plain,
( spl6_533
| ~ spl6_38
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f3582,f3549,f319,f13720]) ).
fof(f13720,plain,
( spl6_533
<=> ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(int_one,X0) = plus(sK3,X1)
| plus(sK3,X1) = plus(plus(int_one,X0),sK5(plus(int_one,X0),plus(sK3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_533])]) ).
fof(f3582,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(int_one,X0) = plus(sK3,X1)
| plus(sK3,X1) = plus(plus(int_one,X0),sK5(plus(int_one,X0),plus(sK3,X1))) )
| ~ spl6_38
| ~ spl6_202 ),
inference(resolution,[],[f3550,f321]) ).
fof(f13466,plain,
( ~ spl6_5
| spl6_165
| ~ spl6_104
| ~ spl6_242 ),
inference(avatar_split_clause,[],[f4834,f4820,f1079,f2241,f94]) ).
fof(f2241,plain,
( spl6_165
<=> int_leq(sK1,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_165])]) ).
fof(f4820,plain,
( spl6_242
<=> ! [X0,X1] :
( int_leq(sK1,sK5(X0,X1))
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_242])]) ).
fof(f4834,plain,
( int_leq(sK1,int_one)
| ~ int_less(int_zero,int_one)
| ~ spl6_104
| ~ spl6_242 ),
inference(superposition,[],[f4821,f1081]) ).
fof(f4821,plain,
( ! [X0,X1] :
( int_leq(sK1,sK5(X0,X1))
| ~ int_less(X0,X1) )
| ~ spl6_242 ),
inference(avatar_component_clause,[],[f4820]) ).
fof(f13465,plain,
( spl6_320
| ~ spl6_175
| ~ spl6_521 ),
inference(avatar_split_clause,[],[f13418,f13330,f2293,f7808]) ).
fof(f13330,plain,
( spl6_521
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_521])]) ).
fof(f13418,plain,
( int_less(sK1,sK1)
| ~ spl6_175
| ~ spl6_521 ),
inference(resolution,[],[f13331,f2294]) ).
fof(f13331,plain,
( ! [X0] :
( ~ int_less(X0,n)
| int_less(X0,sK1) )
| ~ spl6_521 ),
inference(avatar_component_clause,[],[f13330]) ).
fof(f13464,plain,
( spl6_532
| ~ spl6_55
| ~ spl6_109 ),
inference(avatar_split_clause,[],[f4551,f1124,f469,f13462]) ).
fof(f13462,plain,
( spl6_532
<=> ! [X0] :
( int_leq(X0,sK1)
| int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_532])]) ).
fof(f1124,plain,
( spl6_109
<=> ! [X0] :
( int_less(int_zero,X0)
| int_leq(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_109])]) ).
fof(f4551,plain,
( ! [X0] :
( int_leq(X0,sK1)
| int_less(int_zero,X0) )
| ~ spl6_55
| ~ spl6_109 ),
inference(superposition,[],[f1125,f471]) ).
fof(f1125,plain,
( ! [X0] :
( int_leq(X0,int_one)
| int_less(int_zero,X0) )
| ~ spl6_109 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f13460,plain,
( spl6_531
| ~ spl6_102
| ~ spl6_129 ),
inference(avatar_split_clause,[],[f1485,f1386,f1053,f13458]) ).
fof(f13458,plain,
( spl6_531
<=> ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_531])]) ).
fof(f1485,plain,
( ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,sK2) )
| ~ spl6_102
| ~ spl6_129 ),
inference(resolution,[],[f1387,f1055]) ).
fof(f13456,plain,
( spl6_530
| ~ spl6_40
| ~ spl6_129 ),
inference(avatar_split_clause,[],[f1484,f1386,f335,f13454]) ).
fof(f13454,plain,
( spl6_530
<=> ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_530])]) ).
fof(f1484,plain,
( ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,sK1) )
| ~ spl6_40
| ~ spl6_129 ),
inference(resolution,[],[f1387,f337]) ).
fof(f13451,plain,
( spl6_529
| ~ spl6_5
| ~ spl6_129 ),
inference(avatar_split_clause,[],[f1482,f1386,f94,f13449]) ).
fof(f13449,plain,
( spl6_529
<=> ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_529])]) ).
fof(f1482,plain,
( ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,int_one) )
| ~ spl6_5
| ~ spl6_129 ),
inference(resolution,[],[f1387,f96]) ).
fof(f96,plain,
( int_less(int_zero,int_one)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f13447,plain,
( spl6_528
| ~ spl6_52
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1347,f1285,f447,f13445]) ).
fof(f447,plain,
( spl6_52
<=> ! [X0] : plus(int_zero,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_52])]) ).
fof(f1347,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| ~ int_less(int_zero,X0) )
| ~ spl6_52
| ~ spl6_122 ),
inference(superposition,[],[f1286,f448]) ).
fof(f448,plain,
( ! [X0] : plus(int_zero,X0) = X0
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f13443,plain,
( spl6_527
| ~ spl6_54
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1137,f1116,f465,f13441]) ).
fof(f13441,plain,
( spl6_527
<=> ! [X0] :
( int_less(X0,sK1)
| int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_527])]) ).
fof(f465,plain,
( spl6_54
<=> ! [X0] :
( int_less(X0,int_one)
| int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_54])]) ).
fof(f1137,plain,
( ! [X0] :
( int_less(X0,sK1)
| int_less(int_zero,X0) )
| ~ spl6_54
| ~ spl6_107 ),
inference(resolution,[],[f1117,f466]) ).
fof(f466,plain,
( ! [X0] :
( int_less(X0,int_one)
| int_less(int_zero,X0) )
| ~ spl6_54 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f13439,plain,
( spl6_526
| ~ spl6_26
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1067,f1053,f213,f13437]) ).
fof(f1067,plain,
( ! [X0] :
( int_less(X0,sK2)
| ~ int_less(X0,int_zero) )
| ~ spl6_26
| ~ spl6_102 ),
inference(resolution,[],[f1055,f214]) ).
fof(f13403,plain,
( spl6_525
| ~ spl6_52
| ~ spl6_174
| ~ spl6_330 ),
inference(avatar_split_clause,[],[f12942,f8078,f2278,f447,f13401]) ).
fof(f2278,plain,
( spl6_174
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK2)
| ~ int_leq(X1,sK1)
| ~ int_less(X0,sK5(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_174])]) ).
fof(f12942,plain,
( ! [X0] :
( int_leq(X0,sK2)
| ~ int_leq(X0,sK1) )
| ~ spl6_52
| ~ spl6_174
| ~ spl6_330 ),
inference(forward_demodulation,[],[f12914,f448]) ).
fof(f12914,plain,
( ! [X0] :
( ~ int_leq(X0,sK1)
| int_leq(plus(int_zero,X0),sK2) )
| ~ spl6_174
| ~ spl6_330 ),
inference(resolution,[],[f8079,f2279]) ).
fof(f2279,plain,
( ! [X0,X1] :
( ~ int_less(X0,sK5(sK1,sK2))
| ~ int_leq(X1,sK1)
| int_leq(plus(X0,X1),sK2) )
| ~ spl6_174 ),
inference(avatar_component_clause,[],[f2278]) ).
fof(f13376,plain,
( ~ spl6_51
| ~ spl6_298
| ~ spl6_7
| ~ spl6_350 ),
inference(avatar_split_clause,[],[f8807,f8798,f103,f7053,f436]) ).
fof(f8798,plain,
( spl6_350
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(n,X0)
| ~ int_leq(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_350])]) ).
fof(f8807,plain,
( ~ int_leq(n,sK1)
| ~ int_leq(sK1,sK2)
| ~ spl6_7
| ~ spl6_350 ),
inference(resolution,[],[f8799,f104]) ).
fof(f8799,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(n,X0)
| ~ int_leq(X0,sK2) )
| ~ spl6_350 ),
inference(avatar_component_clause,[],[f8798]) ).
fof(f13374,plain,
( ~ spl6_524
| ~ spl6_346
| ~ spl6_36
| ~ spl6_350 ),
inference(avatar_split_clause,[],[f8801,f8798,f305,f8749,f13371]) ).
fof(f8749,plain,
( spl6_346
<=> int_leq(n,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_346])]) ).
fof(f8801,plain,
( ~ int_leq(n,n)
| ~ int_leq(n,sK2)
| ~ spl6_36
| ~ spl6_350 ),
inference(resolution,[],[f8799,f306]) ).
fof(f13368,plain,
( ~ spl6_36
| ~ spl6_40
| ~ spl6_55
| ~ spl6_104
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f8333,f1233,f1079,f469,f335,f305]) ).
fof(f1233,plain,
( spl6_115
<=> ! [X0,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(sK5(X0,X1),n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_115])]) ).
fof(f8333,plain,
( ~ int_less(int_zero,sK1)
| ~ int_leq(sK1,n)
| ~ spl6_55
| ~ spl6_104
| ~ spl6_115 ),
inference(forward_demodulation,[],[f8332,f471]) ).
fof(f8332,plain,
( ~ int_leq(sK1,n)
| ~ int_less(int_zero,int_one)
| ~ spl6_55
| ~ spl6_104
| ~ spl6_115 ),
inference(forward_demodulation,[],[f1243,f471]) ).
fof(f1243,plain,
( ~ int_leq(int_one,n)
| ~ int_less(int_zero,int_one)
| ~ spl6_104
| ~ spl6_115 ),
inference(superposition,[],[f1234,f1081]) ).
fof(f1234,plain,
( ! [X0,X1] :
( ~ int_leq(sK5(X0,X1),n)
| ~ int_less(X0,X1) )
| ~ spl6_115 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f13366,plain,
( spl6_523
| ~ spl6_26
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1045,f1027,f213,f13364]) ).
fof(f1045,plain,
( ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,sK2) )
| ~ spl6_26
| ~ spl6_100 ),
inference(resolution,[],[f1029,f214]) ).
fof(f13350,plain,
( spl6_97
| ~ spl6_6
| ~ spl6_55
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f13340,f1089,f469,f99,f1012]) ).
fof(f1089,plain,
( spl6_105
<=> ! [X0] :
( int_less(X0,int_one)
| int_less(n,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_105])]) ).
fof(f13340,plain,
( int_less(n,sK1)
| ~ spl6_6
| ~ spl6_55
| ~ spl6_105 ),
inference(forward_demodulation,[],[f1094,f471]) ).
fof(f1094,plain,
( int_less(n,int_one)
| ~ spl6_6
| ~ spl6_105 ),
inference(resolution,[],[f1090,f100]) ).
fof(f1090,plain,
( ! [X0] :
( int_less(X0,int_one)
| int_less(n,X0) )
| ~ spl6_105 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f13342,plain,
( ~ spl6_97
| ~ spl6_55
| spl6_99 ),
inference(avatar_split_clause,[],[f13341,f1022,f469,f1012]) ).
fof(f13341,plain,
( ~ int_less(n,sK1)
| ~ spl6_55
| spl6_99 ),
inference(forward_demodulation,[],[f1023,f471]) ).
fof(f13336,plain,
( spl6_522
| ~ spl6_26
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1040,f1022,f213,f13334]) ).
fof(f13334,plain,
( spl6_522
<=> ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_522])]) ).
fof(f1040,plain,
( ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,n) )
| ~ spl6_26
| ~ spl6_99 ),
inference(resolution,[],[f1024,f214]) ).
fof(f1024,plain,
( int_less(n,int_one)
| ~ spl6_99 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f13332,plain,
( spl6_521
| ~ spl6_26
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1035,f1012,f213,f13330]) ).
fof(f1035,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,n) )
| ~ spl6_26
| ~ spl6_97 ),
inference(resolution,[],[f1014,f214]) ).
fof(f1014,plain,
( int_less(n,sK1)
| ~ spl6_97 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f13143,plain,
( spl6_520
| ~ spl6_96
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f3407,f3288,f985,f13141]) ).
fof(f13141,plain,
( spl6_520
<=> ! [X2,X0,X1] :
( int_less(plus(X1,X2),plus(X0,sK3))
| ~ int_less(X1,sK5(X0,plus(X0,sK3)))
| ~ int_leq(X2,X0)
| plus(X1,X2) = plus(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_520])]) ).
fof(f3288,plain,
( spl6_198
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(X0,X1)
| ~ int_less(X2,X3)
| int_less(plus(X2,X0),plus(X1,X3))
| plus(X1,X3) = plus(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_198])]) ).
fof(f3407,plain,
( ! [X2,X0,X1] :
( int_less(plus(X1,X2),plus(X0,sK3))
| ~ int_less(X1,sK5(X0,plus(X0,sK3)))
| ~ int_leq(X2,X0)
| plus(X1,X2) = plus(X0,sK3) )
| ~ spl6_96
| ~ spl6_198 ),
inference(superposition,[],[f3289,f986]) ).
fof(f3289,plain,
( ! [X2,X3,X0,X1] :
( int_less(plus(X2,X0),plus(X1,X3))
| ~ int_less(X2,X3)
| ~ int_leq(X0,X1)
| plus(X1,X3) = plus(X2,X0) )
| ~ spl6_198 ),
inference(avatar_component_clause,[],[f3288]) ).
fof(f13139,plain,
( spl6_519
| ~ spl6_96
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f3391,f3288,f985,f13137]) ).
fof(f13137,plain,
( spl6_519
<=> ! [X2,X0,X1] :
( int_less(plus(X0,sK3),plus(X1,X2))
| ~ int_less(X0,X2)
| ~ int_leq(sK5(X0,plus(X0,sK3)),X1)
| plus(X1,X2) = plus(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_519])]) ).
fof(f3391,plain,
( ! [X2,X0,X1] :
( int_less(plus(X0,sK3),plus(X1,X2))
| ~ int_less(X0,X2)
| ~ int_leq(sK5(X0,plus(X0,sK3)),X1)
| plus(X1,X2) = plus(X0,sK3) )
| ~ spl6_96
| ~ spl6_198 ),
inference(superposition,[],[f3289,f986]) ).
fof(f13135,plain,
( spl6_518
| ~ spl6_96
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f3328,f3284,f985,f13133]) ).
fof(f13133,plain,
( spl6_518
<=> ! [X2,X0,X1] :
( int_less(plus(X1,X2),plus(X0,sK3))
| ~ int_less(X2,X0)
| ~ int_leq(X1,sK5(X0,plus(X0,sK3)))
| plus(X1,X2) = plus(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_518])]) ).
fof(f3284,plain,
( spl6_197
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(X0,X1)
| ~ int_less(X2,X3)
| int_less(plus(X0,X2),plus(X3,X1))
| plus(X0,X2) = plus(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_197])]) ).
fof(f3328,plain,
( ! [X2,X0,X1] :
( int_less(plus(X1,X2),plus(X0,sK3))
| ~ int_less(X2,X0)
| ~ int_leq(X1,sK5(X0,plus(X0,sK3)))
| plus(X1,X2) = plus(X0,sK3) )
| ~ spl6_96
| ~ spl6_197 ),
inference(superposition,[],[f3285,f986]) ).
fof(f3285,plain,
( ! [X2,X3,X0,X1] :
( int_less(plus(X0,X2),plus(X3,X1))
| ~ int_less(X2,X3)
| ~ int_leq(X0,X1)
| plus(X0,X2) = plus(X3,X1) )
| ~ spl6_197 ),
inference(avatar_component_clause,[],[f3284]) ).
fof(f13131,plain,
( spl6_517
| ~ spl6_96
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f3312,f3284,f985,f13129]) ).
fof(f13129,plain,
( spl6_517
<=> ! [X2,X0,X1] :
( int_less(plus(X0,sK3),plus(X1,X2))
| ~ int_less(sK5(X0,plus(X0,sK3)),X1)
| ~ int_leq(X0,X2)
| plus(X1,X2) = plus(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_517])]) ).
fof(f3312,plain,
( ! [X2,X0,X1] :
( int_less(plus(X0,sK3),plus(X1,X2))
| ~ int_less(sK5(X0,plus(X0,sK3)),X1)
| ~ int_leq(X0,X2)
| plus(X1,X2) = plus(X0,sK3) )
| ~ spl6_96
| ~ spl6_197 ),
inference(superposition,[],[f3285,f986]) ).
fof(f13126,plain,
( spl6_516
| ~ spl6_81
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1005,f985,f755,f13124]) ).
fof(f13124,plain,
( spl6_516
<=> ! [X2,X0,X1] :
( int_less(plus(X1,X2),plus(X0,sK3))
| ~ int_less(X1,X0)
| ~ int_leq(X2,sK5(X0,plus(X0,sK3)))
| plus(X1,X2) = plus(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_516])]) ).
fof(f755,plain,
( spl6_81
<=> ! [X0,X3,X2,X1] :
( ~ int_leq(X0,X1)
| ~ int_less(X2,X3)
| int_less(plus(X2,X0),plus(X3,X1))
| plus(X2,X0) = plus(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_81])]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( int_less(plus(X1,X2),plus(X0,sK3))
| ~ int_less(X1,X0)
| ~ int_leq(X2,sK5(X0,plus(X0,sK3)))
| plus(X1,X2) = plus(X0,sK3) )
| ~ spl6_81
| ~ spl6_96 ),
inference(superposition,[],[f756,f986]) ).
fof(f756,plain,
( ! [X2,X3,X0,X1] :
( int_less(plus(X2,X0),plus(X3,X1))
| ~ int_less(X2,X3)
| ~ int_leq(X0,X1)
| plus(X2,X0) = plus(X3,X1) )
| ~ spl6_81 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f13122,plain,
( spl6_515
| ~ spl6_81
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1004,f985,f755,f13120]) ).
fof(f13120,plain,
( spl6_515
<=> ! [X2,X0,X1] :
( int_less(plus(X0,sK3),plus(X1,X2))
| ~ int_less(X0,X1)
| ~ int_leq(sK5(X0,plus(X0,sK3)),X2)
| plus(X1,X2) = plus(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_515])]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( int_less(plus(X0,sK3),plus(X1,X2))
| ~ int_less(X0,X1)
| ~ int_leq(sK5(X0,plus(X0,sK3)),X2)
| plus(X1,X2) = plus(X0,sK3) )
| ~ spl6_81
| ~ spl6_96 ),
inference(superposition,[],[f756,f986]) ).
fof(f13003,plain,
( spl6_514
| ~ spl6_91
| ~ spl6_201 ),
inference(avatar_split_clause,[],[f5886,f3490,f859,f13001]) ).
fof(f13001,plain,
( spl6_514
<=> ! [X2,X0,X1] :
( ~ int_less(X0,sK3)
| ~ int_leq(sK5(sK1,sK3),X1)
| sK3 = plus(X2,X1)
| int_less(X0,plus(X2,X1))
| ~ int_less(sK1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_514])]) ).
fof(f859,plain,
( spl6_91
<=> sK3 = plus(sK1,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_91])]) ).
fof(f5886,plain,
( ! [X2,X0,X1] :
( ~ int_less(X0,sK3)
| ~ int_leq(sK5(sK1,sK3),X1)
| sK3 = plus(X2,X1)
| int_less(X0,plus(X2,X1))
| ~ int_less(sK1,X2) )
| ~ spl6_91
| ~ spl6_201 ),
inference(superposition,[],[f3491,f861]) ).
fof(f861,plain,
( sK3 = plus(sK1,sK5(sK1,sK3))
| ~ spl6_91 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f12999,plain,
( spl6_513
| ~ spl6_24
| ~ spl6_52
| ~ spl6_203 ),
inference(avatar_split_clause,[],[f3834,f3631,f447,f195,f12997]) ).
fof(f12997,plain,
( spl6_513
<=> ! [X0,X1] :
( sK5(X0,plus(sK3,X1)) = sK5(int_zero,sK5(X0,plus(sK3,X1)))
| plus(sK3,X1) = X0
| ~ int_leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_513])]) ).
fof(f3834,plain,
( ! [X0,X1] :
( sK5(X0,plus(sK3,X1)) = sK5(int_zero,sK5(X0,plus(sK3,X1)))
| plus(sK3,X1) = X0
| ~ int_leq(X0,X1) )
| ~ spl6_24
| ~ spl6_52
| ~ spl6_203 ),
inference(forward_demodulation,[],[f3833,f448]) ).
fof(f3833,plain,
( ! [X0,X1] :
( plus(sK3,X1) = X0
| ~ int_leq(X0,X1)
| sK5(plus(int_zero,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(int_zero,X0),plus(sK3,X1))) )
| ~ spl6_24
| ~ spl6_52
| ~ spl6_203 ),
inference(forward_demodulation,[],[f3660,f448]) ).
fof(f3660,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(int_zero,X0) = plus(sK3,X1)
| sK5(plus(int_zero,X0),plus(sK3,X1)) = sK5(int_zero,sK5(plus(int_zero,X0),plus(sK3,X1))) )
| ~ spl6_24
| ~ spl6_203 ),
inference(resolution,[],[f3632,f197]) ).
fof(f197,plain,
( int_less(int_zero,sK3)
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f12993,plain,
( spl6_512
| ~ spl6_90
| ~ spl6_201 ),
inference(avatar_split_clause,[],[f3525,f3490,f854,f12991]) ).
fof(f12991,plain,
( spl6_512
<=> ! [X2,X0,X1] :
( ~ int_less(X0,sK3)
| ~ int_leq(sK5(int_one,sK3),X1)
| sK3 = plus(X2,X1)
| int_less(X0,plus(X2,X1))
| ~ int_less(int_one,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_512])]) ).
fof(f3525,plain,
( ! [X2,X0,X1] :
( ~ int_less(X0,sK3)
| ~ int_leq(sK5(int_one,sK3),X1)
| sK3 = plus(X2,X1)
| int_less(X0,plus(X2,X1))
| ~ int_less(int_one,X2) )
| ~ spl6_90
| ~ spl6_201 ),
inference(superposition,[],[f3491,f856]) ).
fof(f12871,plain,
( spl6_330
| ~ spl6_19
| spl6_149 ),
inference(avatar_split_clause,[],[f1655,f1648,f163,f8078]) ).
fof(f1648,plain,
( spl6_149
<=> int_leq(sK5(sK1,sK2),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_149])]) ).
fof(f1655,plain,
( int_less(int_zero,sK5(sK1,sK2))
| ~ spl6_19
| spl6_149 ),
inference(resolution,[],[f1650,f164]) ).
fof(f1650,plain,
( ~ int_leq(sK5(sK1,sK2),int_zero)
| spl6_149 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f12852,plain,
( spl6_511
| ~ spl6_363
| ~ spl6_344
| ~ spl6_362 ),
inference(avatar_split_clause,[],[f9418,f9134,f8634,f9138,f12849]) ).
fof(f9418,plain,
( ~ int_leq(sK5(sK1,sK2),sK2)
| int_less(sK5(sK1,sK2),sK3)
| ~ spl6_344
| ~ spl6_362 ),
inference(resolution,[],[f9135,f8635]) ).
fof(f12823,plain,
( ~ spl6_40
| ~ spl6_325
| spl6_510
| ~ spl6_363
| ~ spl6_362
| ~ spl6_51
| ~ spl6_64
| ~ spl6_318 ),
inference(avatar_split_clause,[],[f7706,f7645,f532,f436,f9134,f9138,f12821,f7892,f335]) ).
fof(f12821,plain,
( spl6_510
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| a(plus(X0,sK1),X0) = qr(plus(X0,sK1),X0)
| ~ int_leq(X0,sK5(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_510])]) ).
fof(f7645,plain,
( spl6_318
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_318])]) ).
fof(f7706,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,sK5(sK1,sK2))
| ~ int_leq(sK5(sK1,sK2),sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(sK2,sK2)
| ~ int_leq(X0,sK5(sK1,sK2))
| ~ int_less(int_zero,sK1)
| a(plus(X0,sK1),X0) = qr(plus(X0,sK1),X0) )
| ~ spl6_64
| ~ spl6_318 ),
inference(superposition,[],[f7646,f534]) ).
fof(f7646,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) )
| ~ spl6_318 ),
inference(avatar_component_clause,[],[f7645]) ).
fof(f12808,plain,
( spl6_363
| ~ spl6_20
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1279,f1267,f167,f9138]) ).
fof(f1279,plain,
( int_leq(sK5(sK1,sK2),sK2)
| ~ spl6_20
| ~ spl6_120 ),
inference(resolution,[],[f1269,f168]) ).
fof(f12807,plain,
( spl6_509
| ~ spl6_108
| ~ spl6_120 ),
inference(avatar_split_clause,[],[f1275,f1267,f1120,f12804]) ).
fof(f12804,plain,
( spl6_509
<=> int_less(sK5(sK1,sK2),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_509])]) ).
fof(f1275,plain,
( int_less(sK5(sK1,sK2),n)
| ~ spl6_108
| ~ spl6_120 ),
inference(resolution,[],[f1269,f1121]) ).
fof(f12802,plain,
( spl6_508
| ~ spl6_52
| ~ spl6_111 ),
inference(avatar_split_clause,[],[f1173,f1159,f447,f12799]) ).
fof(f12799,plain,
( spl6_508
<=> sK1 = sK5(int_zero,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_508])]) ).
fof(f1159,plain,
( spl6_111
<=> sK1 = plus(int_zero,sK5(int_zero,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_111])]) ).
fof(f1173,plain,
( sK1 = sK5(int_zero,sK1)
| ~ spl6_52
| ~ spl6_111 ),
inference(superposition,[],[f1161,f448]) ).
fof(f1161,plain,
( sK1 = plus(int_zero,sK5(int_zero,sK1))
| ~ spl6_111 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f12750,plain,
( spl6_507
| ~ spl6_19
| spl6_374 ),
inference(avatar_split_clause,[],[f9430,f9426,f163,f12747]) ).
fof(f12747,plain,
( spl6_507
<=> int_less(n,sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_507])]) ).
fof(f9430,plain,
( int_less(n,sK5(sK1,sK2))
| ~ spl6_19
| spl6_374 ),
inference(resolution,[],[f9428,f164]) ).
fof(f12745,plain,
( spl6_506
| ~ spl6_19
| spl6_363 ),
inference(avatar_split_clause,[],[f9151,f9138,f163,f12742]) ).
fof(f12742,plain,
( spl6_506
<=> int_less(sK2,sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_506])]) ).
fof(f9151,plain,
( int_less(sK2,sK5(sK1,sK2))
| ~ spl6_19
| spl6_363 ),
inference(resolution,[],[f9140,f164]) ).
fof(f9140,plain,
( ~ int_leq(sK5(sK1,sK2),sK2)
| spl6_363 ),
inference(avatar_component_clause,[],[f9138]) ).
fof(f12667,plain,
( spl6_505
| ~ spl6_55
| ~ spl6_364 ),
inference(avatar_split_clause,[],[f9150,f9146,f469,f12664]) ).
fof(f12664,plain,
( spl6_505
<=> int_leq(sK1,sK5(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_505])]) ).
fof(f9146,plain,
( spl6_364
<=> int_leq(int_one,sK5(int_one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_364])]) ).
fof(f9150,plain,
( int_leq(sK1,sK5(sK1,sK1))
| ~ spl6_55
| ~ spl6_364 ),
inference(forward_demodulation,[],[f9148,f471]) ).
fof(f9148,plain,
( int_leq(int_one,sK5(int_one,sK1))
| ~ spl6_364 ),
inference(avatar_component_clause,[],[f9146]) ).
fof(f12654,plain,
( spl6_504
| ~ spl6_55
| ~ spl6_153
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8723,f8684,f1665,f469,f12652]) ).
fof(f8723,plain,
( ! [X0] :
( ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_leq(plus(X0,sK1),n)
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_less(sK3,X0) )
| ~ spl6_55
| ~ spl6_153
| ~ spl6_345 ),
inference(forward_demodulation,[],[f8722,f471]) ).
fof(f8722,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),n)
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_55
| ~ spl6_153
| ~ spl6_345 ),
inference(forward_demodulation,[],[f8721,f471]) ).
fof(f8721,plain,
( ! [X0] :
( ~ int_leq(sK1,plus(X0,sK1))
| ~ int_leq(plus(X0,int_one),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_55
| ~ spl6_153
| ~ spl6_345 ),
inference(forward_demodulation,[],[f8706,f471]) ).
fof(f12650,plain,
( spl6_503
| ~ spl6_96
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8705,f8684,f985,f12648]) ).
fof(f12648,plain,
( spl6_503
<=> ! [X0] :
( ~ int_leq(sK1,plus(X0,sK3))
| ~ int_leq(plus(X0,sK3),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_503])]) ).
fof(f8705,plain,
( ! [X0] :
( ~ int_leq(sK1,plus(X0,sK3))
| ~ int_leq(plus(X0,sK3),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK3,X0) )
| ~ spl6_96
| ~ spl6_345 ),
inference(superposition,[],[f8685,f986]) ).
fof(f12646,plain,
( spl6_502
| ~ spl6_55
| ~ spl6_153
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7793,f7761,f1665,f469,f12644]) ).
fof(f12644,plain,
( spl6_502
<=> ! [X0] :
( ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_leq(plus(X0,sK1),sK2)
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_502])]) ).
fof(f7793,plain,
( ! [X0] :
( ~ int_leq(int_zero,sK5(X0,plus(X0,sK1)))
| ~ int_leq(plus(X0,sK1),sK2)
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_less(sK3,X0) )
| ~ spl6_55
| ~ spl6_153
| ~ spl6_319 ),
inference(forward_demodulation,[],[f7792,f471]) ).
fof(f7792,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),sK2)
| ~ int_leq(sK1,plus(X0,sK1))
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_55
| ~ spl6_153
| ~ spl6_319 ),
inference(forward_demodulation,[],[f7791,f471]) ).
fof(f7791,plain,
( ! [X0] :
( ~ int_leq(sK1,plus(X0,sK1))
| ~ int_leq(plus(X0,int_one),sK2)
| ~ int_leq(int_zero,sK5(X0,plus(X0,int_one)))
| ~ int_less(sK3,X0) )
| ~ spl6_55
| ~ spl6_153
| ~ spl6_319 ),
inference(forward_demodulation,[],[f7776,f471]) ).
fof(f12642,plain,
( spl6_501
| ~ spl6_96
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7775,f7761,f985,f12640]) ).
fof(f12640,plain,
( spl6_501
<=> ! [X0] :
( ~ int_leq(sK1,plus(X0,sK3))
| ~ int_leq(plus(X0,sK3),sK2)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_501])]) ).
fof(f7775,plain,
( ! [X0] :
( ~ int_leq(sK1,plus(X0,sK3))
| ~ int_leq(plus(X0,sK3),sK2)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(sK3,X0) )
| ~ spl6_96
| ~ spl6_319 ),
inference(superposition,[],[f7762,f986]) ).
fof(f12638,plain,
( spl6_500
| ~ spl6_96
| ~ spl6_187 ),
inference(avatar_split_clause,[],[f2954,f2670,f985,f12636]) ).
fof(f12636,plain,
( spl6_500
<=> ! [X0,X1] :
( int_less(plus(X0,sK3),X1)
| ~ int_less(X0,int_zero)
| ~ int_leq(sK5(X0,plus(X0,sK3)),X1)
| plus(X0,sK3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_500])]) ).
fof(f2954,plain,
( ! [X0,X1] :
( int_less(plus(X0,sK3),X1)
| ~ int_less(X0,int_zero)
| ~ int_leq(sK5(X0,plus(X0,sK3)),X1)
| plus(X0,sK3) = X1 )
| ~ spl6_96
| ~ spl6_187 ),
inference(superposition,[],[f2671,f986]) ).
fof(f12634,plain,
( spl6_499
| ~ spl6_96
| ~ spl6_186 ),
inference(avatar_split_clause,[],[f2907,f2666,f985,f12632]) ).
fof(f12632,plain,
( spl6_499
<=> ! [X0,X1] :
( int_less(X1,plus(X0,sK3))
| ~ int_less(int_zero,X0)
| ~ int_leq(X1,sK5(X0,plus(X0,sK3)))
| plus(X0,sK3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_499])]) ).
fof(f2666,plain,
( spl6_186
<=> ! [X2,X0,X1] :
( int_less(X0,plus(X1,X2))
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,X2)
| plus(X1,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_186])]) ).
fof(f2907,plain,
( ! [X0,X1] :
( int_less(X1,plus(X0,sK3))
| ~ int_less(int_zero,X0)
| ~ int_leq(X1,sK5(X0,plus(X0,sK3)))
| plus(X0,sK3) = X1 )
| ~ spl6_96
| ~ spl6_186 ),
inference(superposition,[],[f2667,f986]) ).
fof(f2667,plain,
( ! [X2,X0,X1] :
( int_less(X0,plus(X1,X2))
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,X2)
| plus(X1,X2) = X0 )
| ~ spl6_186 ),
inference(avatar_component_clause,[],[f2666]) ).
fof(f12630,plain,
( spl6_498
| ~ spl6_96
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f2732,f2645,f985,f12628]) ).
fof(f12628,plain,
( spl6_498
<=> ! [X0,X1] :
( int_less(plus(X0,sK3),X1)
| ~ int_less(X0,X1)
| ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero)
| plus(X0,sK3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_498])]) ).
fof(f2732,plain,
( ! [X0,X1] :
( int_less(plus(X0,sK3),X1)
| ~ int_less(X0,X1)
| ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero)
| plus(X0,sK3) = X1 )
| ~ spl6_96
| ~ spl6_182 ),
inference(superposition,[],[f2646,f986]) ).
fof(f12626,plain,
( spl6_497
| ~ spl6_96
| ~ spl6_181 ),
inference(avatar_split_clause,[],[f2691,f2641,f985,f12624]) ).
fof(f12624,plain,
( spl6_497
<=> ! [X0,X1] :
( int_less(X1,plus(X0,sK3))
| ~ int_less(X1,X0)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| plus(X0,sK3) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_497])]) ).
fof(f2641,plain,
( spl6_181
<=> ! [X2,X0,X1] :
( ~ int_leq(int_zero,X0)
| ~ int_less(X1,X2)
| int_less(X1,plus(X2,X0))
| plus(X2,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_181])]) ).
fof(f2691,plain,
( ! [X0,X1] :
( int_less(X1,plus(X0,sK3))
| ~ int_less(X1,X0)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| plus(X0,sK3) = X1 )
| ~ spl6_96
| ~ spl6_181 ),
inference(superposition,[],[f2642,f986]) ).
fof(f2642,plain,
( ! [X2,X0,X1] :
( int_less(X1,plus(X2,X0))
| ~ int_less(X1,X2)
| ~ int_leq(int_zero,X0)
| plus(X2,X0) = X1 )
| ~ spl6_181 ),
inference(avatar_component_clause,[],[f2641]) ).
fof(f12521,plain,
( ~ spl6_496
| ~ spl6_21
| ~ spl6_55
| spl6_290 ),
inference(avatar_split_clause,[],[f8351,f6874,f469,f179,f12518]) ).
fof(f12518,plain,
( spl6_496
<=> int_leq(plus(sK1,sK3),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_496])]) ).
fof(f6874,plain,
( spl6_290
<=> int_leq(plus(sK3,int_one),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_290])]) ).
fof(f8351,plain,
( ~ int_leq(plus(sK1,sK3),n)
| ~ spl6_21
| ~ spl6_55
| spl6_290 ),
inference(forward_demodulation,[],[f7435,f180]) ).
fof(f7435,plain,
( ~ int_leq(plus(sK3,sK1),n)
| ~ spl6_55
| spl6_290 ),
inference(superposition,[],[f6876,f471]) ).
fof(f6876,plain,
( ~ int_leq(plus(sK3,int_one),n)
| spl6_290 ),
inference(avatar_component_clause,[],[f6874]) ).
fof(f12516,plain,
( spl6_495
| ~ spl6_24
| ~ spl6_52
| ~ spl6_202 ),
inference(avatar_split_clause,[],[f3836,f3549,f447,f195,f12514]) ).
fof(f12514,plain,
( spl6_495
<=> ! [X0,X1] :
( plus(sK3,X1) = plus(X0,sK5(X0,plus(sK3,X1)))
| plus(sK3,X1) = X0
| ~ int_leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_495])]) ).
fof(f3836,plain,
( ! [X0,X1] :
( plus(sK3,X1) = plus(X0,sK5(X0,plus(sK3,X1)))
| plus(sK3,X1) = X0
| ~ int_leq(X0,X1) )
| ~ spl6_24
| ~ spl6_52
| ~ spl6_202 ),
inference(forward_demodulation,[],[f3835,f448]) ).
fof(f3835,plain,
( ! [X0,X1] :
( plus(sK3,X1) = X0
| ~ int_leq(X0,X1)
| plus(sK3,X1) = plus(plus(int_zero,X0),sK5(plus(int_zero,X0),plus(sK3,X1))) )
| ~ spl6_24
| ~ spl6_52
| ~ spl6_202 ),
inference(forward_demodulation,[],[f3578,f448]) ).
fof(f3578,plain,
( ! [X0,X1] :
( ~ int_leq(X0,X1)
| plus(int_zero,X0) = plus(sK3,X1)
| plus(sK3,X1) = plus(plus(int_zero,X0),sK5(plus(int_zero,X0),plus(sK3,X1))) )
| ~ spl6_24
| ~ spl6_202 ),
inference(resolution,[],[f3550,f197]) ).
fof(f12295,plain,
( spl6_494
| ~ spl6_91
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f5885,f3288,f859,f12293]) ).
fof(f12293,plain,
( spl6_494
<=> ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(sK1,X1)
| ~ int_leq(sK5(sK1,sK3),X0)
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_494])]) ).
fof(f5885,plain,
( ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(sK1,X1)
| ~ int_leq(sK5(sK1,sK3),X0)
| plus(X0,X1) = sK3 )
| ~ spl6_91
| ~ spl6_198 ),
inference(superposition,[],[f3289,f861]) ).
fof(f12291,plain,
( spl6_493
| ~ spl6_91
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f5884,f3288,f859,f12289]) ).
fof(f12289,plain,
( spl6_493
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,sK5(sK1,sK3))
| ~ int_leq(X1,sK1)
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_493])]) ).
fof(f5884,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,sK5(sK1,sK3))
| ~ int_leq(X1,sK1)
| plus(X0,X1) = sK3 )
| ~ spl6_91
| ~ spl6_198 ),
inference(superposition,[],[f3289,f861]) ).
fof(f12287,plain,
( spl6_492
| ~ spl6_55
| ~ spl6_257 ),
inference(avatar_split_clause,[],[f7428,f6256,f469,f12284]) ).
fof(f6256,plain,
( spl6_257
<=> int_leq(sK1,sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_257])]) ).
fof(f7428,plain,
( int_leq(sK1,sK5(sK1,sK3))
| ~ spl6_55
| ~ spl6_257 ),
inference(superposition,[],[f6258,f471]) ).
fof(f6258,plain,
( int_leq(sK1,sK5(int_one,sK3))
| ~ spl6_257 ),
inference(avatar_component_clause,[],[f6256]) ).
fof(f12282,plain,
( spl6_491
| ~ spl6_91
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f5883,f3284,f859,f12280]) ).
fof(f12280,plain,
( spl6_491
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X1,sK1)
| ~ int_leq(X0,sK5(sK1,sK3))
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_491])]) ).
fof(f5883,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X1,sK1)
| ~ int_leq(X0,sK5(sK1,sK3))
| plus(X0,X1) = sK3 )
| ~ spl6_91
| ~ spl6_197 ),
inference(superposition,[],[f3285,f861]) ).
fof(f12278,plain,
( spl6_490
| ~ spl6_91
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f5882,f3284,f859,f12276]) ).
fof(f12276,plain,
( spl6_490
<=> ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(sK5(sK1,sK3),X0)
| ~ int_leq(sK1,X1)
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_490])]) ).
fof(f5882,plain,
( ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(sK5(sK1,sK3),X0)
| ~ int_leq(sK1,X1)
| plus(X0,X1) = sK3 )
| ~ spl6_91
| ~ spl6_197 ),
inference(superposition,[],[f3285,f861]) ).
fof(f12274,plain,
( spl6_489
| ~ spl6_81
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5861,f859,f755,f12272]) ).
fof(f12272,plain,
( spl6_489
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,sK1)
| ~ int_leq(X1,sK5(sK1,sK3))
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_489])]) ).
fof(f5861,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,sK1)
| ~ int_leq(X1,sK5(sK1,sK3))
| plus(X0,X1) = sK3 )
| ~ spl6_81
| ~ spl6_91 ),
inference(superposition,[],[f756,f861]) ).
fof(f12270,plain,
( spl6_488
| ~ spl6_81
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5860,f859,f755,f12268]) ).
fof(f12268,plain,
( spl6_488
<=> ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(sK1,X0)
| ~ int_leq(sK5(sK1,sK3),X1)
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_488])]) ).
fof(f5860,plain,
( ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(sK1,X0)
| ~ int_leq(sK5(sK1,sK3),X1)
| plus(X0,X1) = sK3 )
| ~ spl6_81
| ~ spl6_91 ),
inference(superposition,[],[f756,f861]) ).
fof(f12266,plain,
( spl6_487
| ~ spl6_24
| ~ spl6_200 ),
inference(avatar_split_clause,[],[f3466,f3455,f195,f12264]) ).
fof(f12264,plain,
( spl6_487
<=> ! [X0,X1] :
( ~ int_less(int_zero,X0)
| plus(X1,plus(X0,sK3)) = plus(X1,sK5(X1,plus(X1,plus(X0,sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_487])]) ).
fof(f3455,plain,
( spl6_200
<=> ! [X2,X0,X1] :
( plus(X0,plus(X1,X2)) = plus(X0,sK5(X0,plus(X0,plus(X1,X2))))
| ~ int_less(int_zero,X1)
| ~ int_less(int_zero,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_200])]) ).
fof(f3466,plain,
( ! [X0,X1] :
( ~ int_less(int_zero,X0)
| plus(X1,plus(X0,sK3)) = plus(X1,sK5(X1,plus(X1,plus(X0,sK3)))) )
| ~ spl6_24
| ~ spl6_200 ),
inference(resolution,[],[f3456,f197]) ).
fof(f3456,plain,
( ! [X2,X0,X1] :
( ~ int_less(int_zero,X2)
| ~ int_less(int_zero,X1)
| plus(X0,plus(X1,X2)) = plus(X0,sK5(X0,plus(X0,plus(X1,X2)))) )
| ~ spl6_200 ),
inference(avatar_component_clause,[],[f3455]) ).
fof(f12260,plain,
( spl6_486
| ~ spl6_90
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f3414,f3288,f854,f12258]) ).
fof(f12258,plain,
( spl6_486
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,sK5(int_one,sK3))
| ~ int_leq(X1,int_one)
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_486])]) ).
fof(f3414,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,sK5(int_one,sK3))
| ~ int_leq(X1,int_one)
| plus(X0,X1) = sK3 )
| ~ spl6_90
| ~ spl6_198 ),
inference(superposition,[],[f3289,f856]) ).
fof(f12254,plain,
( spl6_485
| ~ spl6_90
| ~ spl6_198 ),
inference(avatar_split_clause,[],[f3398,f3288,f854,f12252]) ).
fof(f12252,plain,
( spl6_485
<=> ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(int_one,X1)
| ~ int_leq(sK5(int_one,sK3),X0)
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_485])]) ).
fof(f3398,plain,
( ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(int_one,X1)
| ~ int_leq(sK5(int_one,sK3),X0)
| plus(X0,X1) = sK3 )
| ~ spl6_90
| ~ spl6_198 ),
inference(superposition,[],[f3289,f856]) ).
fof(f12248,plain,
( spl6_484
| ~ spl6_90
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f3335,f3284,f854,f12246]) ).
fof(f12246,plain,
( spl6_484
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X1,int_one)
| ~ int_leq(X0,sK5(int_one,sK3))
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_484])]) ).
fof(f3335,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X1,int_one)
| ~ int_leq(X0,sK5(int_one,sK3))
| plus(X0,X1) = sK3 )
| ~ spl6_90
| ~ spl6_197 ),
inference(superposition,[],[f3285,f856]) ).
fof(f12242,plain,
( spl6_483
| ~ spl6_90
| ~ spl6_197 ),
inference(avatar_split_clause,[],[f3319,f3284,f854,f12240]) ).
fof(f12240,plain,
( spl6_483
<=> ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(sK5(int_one,sK3),X0)
| ~ int_leq(int_one,X1)
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_483])]) ).
fof(f3319,plain,
( ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(sK5(int_one,sK3),X0)
| ~ int_leq(int_one,X1)
| plus(X0,X1) = sK3 )
| ~ spl6_90
| ~ spl6_197 ),
inference(superposition,[],[f3285,f856]) ).
fof(f12236,plain,
( spl6_482
| ~ spl6_81
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f916,f854,f755,f12234]) ).
fof(f12234,plain,
( spl6_482
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,int_one)
| ~ int_leq(X1,sK5(int_one,sK3))
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_482])]) ).
fof(f916,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,int_one)
| ~ int_leq(X1,sK5(int_one,sK3))
| plus(X0,X1) = sK3 )
| ~ spl6_81
| ~ spl6_90 ),
inference(superposition,[],[f756,f856]) ).
fof(f12232,plain,
( ~ spl6_481
| ~ spl6_55
| spl6_229 ),
inference(avatar_split_clause,[],[f7422,f4227,f469,f12229]) ).
fof(f12229,plain,
( spl6_481
<=> int_leq(sK5(sK1,sK1),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_481])]) ).
fof(f4227,plain,
( spl6_229
<=> int_leq(sK5(int_one,sK1),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_229])]) ).
fof(f7422,plain,
( ~ int_leq(sK5(sK1,sK1),n)
| ~ spl6_55
| spl6_229 ),
inference(superposition,[],[f4229,f471]) ).
fof(f4229,plain,
( ~ int_leq(sK5(int_one,sK1),n)
| spl6_229 ),
inference(avatar_component_clause,[],[f4227]) ).
fof(f12225,plain,
( spl6_480
| ~ spl6_81
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f915,f854,f755,f12223]) ).
fof(f12223,plain,
( spl6_480
<=> ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(int_one,X0)
| ~ int_leq(sK5(int_one,sK3),X1)
| plus(X0,X1) = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_480])]) ).
fof(f915,plain,
( ! [X0,X1] :
( int_less(sK3,plus(X0,X1))
| ~ int_less(int_one,X0)
| ~ int_leq(sK5(int_one,sK3),X1)
| plus(X0,X1) = sK3 )
| ~ spl6_81
| ~ spl6_90 ),
inference(superposition,[],[f756,f856]) ).
fof(f11963,plain,
( ~ spl6_479
| ~ spl6_55
| spl6_213 ),
inference(avatar_split_clause,[],[f7414,f3829,f469,f11960]) ).
fof(f11960,plain,
( spl6_479
<=> int_less(sK5(sK1,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_479])]) ).
fof(f7414,plain,
( ~ int_less(sK5(sK1,sK1),sK1)
| ~ spl6_55
| spl6_213 ),
inference(superposition,[],[f3830,f471]) ).
fof(f3830,plain,
( ~ int_less(sK5(int_one,sK1),sK1)
| spl6_213 ),
inference(avatar_component_clause,[],[f3829]) ).
fof(f11855,plain,
( spl6_478
| ~ spl6_138
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8698,f8684,f1594,f11853]) ).
fof(f11853,plain,
( spl6_478
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(sK1,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_478])]) ).
fof(f8698,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(sK1,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_138
| ~ spl6_345 ),
inference(resolution,[],[f8685,f1595]) ).
fof(f11851,plain,
( spl6_477
| ~ spl6_145
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8696,f8684,f1629,f11849]) ).
fof(f11849,plain,
( spl6_477
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_477])]) ).
fof(f8696,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK1,X1) )
| ~ spl6_145
| ~ spl6_345 ),
inference(resolution,[],[f8685,f1630]) ).
fof(f11847,plain,
( spl6_476
| ~ spl6_138
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7768,f7761,f1594,f11845]) ).
fof(f11845,plain,
( spl6_476
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(sK1,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_476])]) ).
fof(f7768,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(sK1,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_138
| ~ spl6_319 ),
inference(resolution,[],[f7762,f1595]) ).
fof(f11843,plain,
( spl6_475
| ~ spl6_145
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7766,f7761,f1629,f11841]) ).
fof(f11841,plain,
( spl6_475
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_475])]) ).
fof(f7766,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK1,X1) )
| ~ spl6_145
| ~ spl6_319 ),
inference(resolution,[],[f7762,f1630]) ).
fof(f11839,plain,
( spl6_474
| ~ spl6_152
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7765,f7761,f1661,f11837]) ).
fof(f11837,plain,
( spl6_474
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(sK1,X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_474])]) ).
fof(f7765,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(sK1,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_152
| ~ spl6_319 ),
inference(resolution,[],[f7762,f1662]) ).
fof(f11835,plain,
( spl6_473
| ~ spl6_96
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2397,f2266,f985,f11833]) ).
fof(f11833,plain,
( spl6_473
<=> ! [X2,X0,X1] :
( int_leq(plus(X1,X2),plus(X0,sK3))
| ~ int_leq(X1,X0)
| ~ int_less(X2,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_473])]) ).
fof(f2397,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),plus(X0,sK3))
| ~ int_leq(X1,X0)
| ~ int_less(X2,sK5(X0,plus(X0,sK3))) )
| ~ spl6_96
| ~ spl6_171 ),
inference(superposition,[],[f2267,f986]) ).
fof(f11794,plain,
( spl6_472
| ~ spl6_96
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2381,f2266,f985,f11792]) ).
fof(f11792,plain,
( spl6_472
<=> ! [X2,X0,X1] :
( int_leq(plus(X0,sK3),plus(X1,X2))
| ~ int_leq(X0,X1)
| ~ int_less(sK5(X0,plus(X0,sK3)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_472])]) ).
fof(f2381,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X0,sK3),plus(X1,X2))
| ~ int_leq(X0,X1)
| ~ int_less(sK5(X0,plus(X0,sK3)),X2) )
| ~ spl6_96
| ~ spl6_171 ),
inference(superposition,[],[f2267,f986]) ).
fof(f11790,plain,
( spl6_471
| ~ spl6_78
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1003,f985,f698,f11788]) ).
fof(f11788,plain,
( spl6_471
<=> ! [X2,X0,X1] :
( int_leq(plus(X0,sK3),plus(X1,X2))
| ~ int_leq(sK5(X0,plus(X0,sK3)),X1)
| ~ int_less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_471])]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X0,sK3),plus(X1,X2))
| ~ int_leq(sK5(X0,plus(X0,sK3)),X1)
| ~ int_less(X0,X2) )
| ~ spl6_78
| ~ spl6_96 ),
inference(superposition,[],[f699,f986]) ).
fof(f11786,plain,
( spl6_470
| ~ spl6_78
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1002,f985,f698,f11784]) ).
fof(f11784,plain,
( spl6_470
<=> ! [X2,X0,X1] :
( int_leq(plus(X1,X2),plus(X0,sK3))
| ~ int_leq(X2,X0)
| ~ int_less(X1,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_470])]) ).
fof(f1002,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),plus(X0,sK3))
| ~ int_leq(X2,X0)
| ~ int_less(X1,sK5(X0,plus(X0,sK3))) )
| ~ spl6_78
| ~ spl6_96 ),
inference(superposition,[],[f699,f986]) ).
fof(f11782,plain,
( spl6_469
| ~ spl6_77
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1001,f985,f694,f11780]) ).
fof(f11780,plain,
( spl6_469
<=> ! [X2,X0,X1] :
( int_leq(plus(X1,X2),plus(X0,sK3))
| ~ int_leq(X1,sK5(X0,plus(X0,sK3)))
| ~ int_less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_469])]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),plus(X0,sK3))
| ~ int_leq(X1,sK5(X0,plus(X0,sK3)))
| ~ int_less(X2,X0) )
| ~ spl6_77
| ~ spl6_96 ),
inference(superposition,[],[f695,f986]) ).
fof(f11778,plain,
( spl6_468
| ~ spl6_77
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f1000,f985,f694,f11776]) ).
fof(f11776,plain,
( spl6_468
<=> ! [X2,X0,X1] :
( int_leq(plus(X0,sK3),plus(X1,X2))
| ~ int_leq(X0,X2)
| ~ int_less(sK5(X0,plus(X0,sK3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_468])]) ).
fof(f1000,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X0,sK3),plus(X1,X2))
| ~ int_leq(X0,X2)
| ~ int_less(sK5(X0,plus(X0,sK3)),X1) )
| ~ spl6_77
| ~ spl6_96 ),
inference(superposition,[],[f695,f986]) ).
fof(f11774,plain,
( spl6_467
| ~ spl6_28
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f994,f985,f235,f11772]) ).
fof(f11772,plain,
( spl6_467
<=> ! [X2,X0,X1] :
( int_leq(plus(X1,X2),plus(X0,sK3))
| ~ int_leq(X2,sK5(X0,plus(X0,sK3)))
| ~ int_less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_467])]) ).
fof(f994,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),plus(X0,sK3))
| ~ int_leq(X2,sK5(X0,plus(X0,sK3)))
| ~ int_less(X1,X0) )
| ~ spl6_28
| ~ spl6_96 ),
inference(superposition,[],[f236,f986]) ).
fof(f11770,plain,
( spl6_466
| ~ spl6_28
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f993,f985,f235,f11768]) ).
fof(f11768,plain,
( spl6_466
<=> ! [X2,X0,X1] :
( int_leq(plus(X0,sK3),plus(X1,X2))
| ~ int_leq(sK5(X0,plus(X0,sK3)),X2)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_466])]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X0,sK3),plus(X1,X2))
| ~ int_leq(sK5(X0,plus(X0,sK3)),X2)
| ~ int_less(X0,X1) )
| ~ spl6_28
| ~ spl6_96 ),
inference(superposition,[],[f236,f986]) ).
fof(f11681,plain,
( ~ spl6_465
| ~ spl6_22
| spl6_291 ),
inference(avatar_split_clause,[],[f6887,f6878,f187,f11678]) ).
fof(f6887,plain,
( ~ int_less(int_one,plus(sK3,int_one))
| ~ spl6_22
| spl6_291 ),
inference(resolution,[],[f6880,f188]) ).
fof(f6880,plain,
( ~ int_less(int_zero,sK5(int_one,plus(sK3,int_one)))
| spl6_291 ),
inference(avatar_component_clause,[],[f6878]) ).
fof(f11345,plain,
( spl6_464
| ~ spl6_19
| spl6_290 ),
inference(avatar_split_clause,[],[f6886,f6874,f163,f11342]) ).
fof(f6886,plain,
( int_less(n,plus(sK3,int_one))
| ~ spl6_19
| spl6_290 ),
inference(resolution,[],[f6876,f164]) ).
fof(f10985,plain,
( spl6_463
| ~ spl6_73
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9348,f8634,f621,f10983]) ).
fof(f10983,plain,
( spl6_463
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_463])]) ).
fof(f9348,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_344 ),
inference(resolution,[],[f8635,f622]) ).
fof(f10981,plain,
( spl6_462
| ~ spl6_138
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9347,f8634,f1594,f10979]) ).
fof(f10979,plain,
( spl6_462
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_leq(sK1,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_462])]) ).
fof(f9347,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_leq(sK1,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_138
| ~ spl6_344 ),
inference(resolution,[],[f8635,f1595]) ).
fof(f10977,plain,
( spl6_461
| ~ spl6_143
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9346,f8634,f1614,f10975]) ).
fof(f10975,plain,
( spl6_461
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_less(int_zero,X1)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_461])]) ).
fof(f9346,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_less(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_143
| ~ spl6_344 ),
inference(resolution,[],[f8635,f1615]) ).
fof(f10946,plain,
( spl6_460
| ~ spl6_145
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9345,f8634,f1629,f10944]) ).
fof(f10944,plain,
( spl6_460
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_460])]) ).
fof(f9345,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK1,X1) )
| ~ spl6_145
| ~ spl6_344 ),
inference(resolution,[],[f8635,f1630]) ).
fof(f10942,plain,
( spl6_459
| ~ spl6_152
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9344,f8634,f1661,f10940]) ).
fof(f10940,plain,
( spl6_459
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_leq(sK1,X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_459])]) ).
fof(f9344,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(plus(X0,X1),sK3)
| ~ int_leq(sK1,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_152
| ~ spl6_344 ),
inference(resolution,[],[f8635,f1662]) ).
fof(f10938,plain,
( spl6_458
| ~ spl6_19
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8701,f8684,f163,f10936]) ).
fof(f10936,plain,
( spl6_458
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(plus(X0,X1),sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_458])]) ).
fof(f8701,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(plus(X0,X1),sK1) )
| ~ spl6_19
| ~ spl6_345 ),
inference(resolution,[],[f8685,f164]) ).
fof(f10934,plain,
( spl6_457
| ~ spl6_138
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f8441,f8430,f1594,f10932]) ).
fof(f10932,plain,
( spl6_457
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_457])]) ).
fof(f8441,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_138
| ~ spl6_338 ),
inference(resolution,[],[f8431,f1595]) ).
fof(f10930,plain,
( spl6_456
| ~ spl6_143
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f8440,f8430,f1614,f10928]) ).
fof(f10928,plain,
( spl6_456
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_less(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_456])]) ).
fof(f8440,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_less(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_143
| ~ spl6_338 ),
inference(resolution,[],[f8431,f1615]) ).
fof(f10926,plain,
( spl6_455
| ~ spl6_145
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f8439,f8430,f1629,f10924]) ).
fof(f10924,plain,
( spl6_455
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_455])]) ).
fof(f8439,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X0)
| ~ int_less(sK3,X1) )
| ~ spl6_145
| ~ spl6_338 ),
inference(resolution,[],[f8431,f1630]) ).
fof(f10922,plain,
( spl6_454
| ~ spl6_152
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f8438,f8430,f1661,f10920]) ).
fof(f10920,plain,
( spl6_454
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_454])]) ).
fof(f8438,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_152
| ~ spl6_338 ),
inference(resolution,[],[f8431,f1662]) ).
fof(f10918,plain,
( spl6_453
| ~ spl6_21
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7774,f7761,f179,f10916]) ).
fof(f10916,plain,
( spl6_453
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_453])]) ).
fof(f7774,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_21
| ~ spl6_319 ),
inference(superposition,[],[f7762,f180]) ).
fof(f10914,plain,
( spl6_452
| ~ spl6_19
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7771,f7761,f163,f10912]) ).
fof(f7771,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| int_less(plus(X0,X1),sK1) )
| ~ spl6_19
| ~ spl6_319 ),
inference(resolution,[],[f7762,f164]) ).
fof(f10902,plain,
( spl6_273
| ~ spl6_20
| ~ spl6_255 ),
inference(avatar_split_clause,[],[f6490,f6218,f167,f6548]) ).
fof(f6548,plain,
( spl6_273
<=> int_leq(int_zero,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_273])]) ).
fof(f6490,plain,
( int_leq(int_zero,sK5(sK1,sK3))
| ~ spl6_20
| ~ spl6_255 ),
inference(resolution,[],[f6219,f168]) ).
fof(f6219,plain,
( int_less(int_zero,sK5(sK1,sK3))
| ~ spl6_255 ),
inference(avatar_component_clause,[],[f6218]) ).
fof(f10901,plain,
( spl6_451
| ~ spl6_138
| ~ spl6_306 ),
inference(avatar_split_clause,[],[f7368,f7353,f1594,f10899]) ).
fof(f10899,plain,
( spl6_451
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_451])]) ).
fof(f7368,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_138
| ~ spl6_306 ),
inference(resolution,[],[f7354,f1595]) ).
fof(f10897,plain,
( spl6_450
| ~ spl6_152
| ~ spl6_306 ),
inference(avatar_split_clause,[],[f7365,f7353,f1661,f10895]) ).
fof(f10895,plain,
( spl6_450
<=> ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_450])]) ).
fof(f7365,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(sK3,X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_152
| ~ spl6_306 ),
inference(resolution,[],[f7354,f1662]) ).
fof(f10893,plain,
( spl6_449
| ~ spl6_86
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f3870,f2645,f814,f10891]) ).
fof(f10891,plain,
( spl6_449
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,sK1)
| ~ int_leq(X1,int_zero)
| plus(X0,X1) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_449])]) ).
fof(f3870,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,sK1)
| ~ int_leq(X1,int_zero)
| plus(X0,X1) = sK1 )
| ~ spl6_86
| ~ spl6_182 ),
inference(resolution,[],[f815,f2646]) ).
fof(f10889,plain,
( spl6_448
| ~ spl6_86
| ~ spl6_187 ),
inference(avatar_split_clause,[],[f3869,f2670,f814,f10887]) ).
fof(f10887,plain,
( spl6_448
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,int_zero)
| ~ int_leq(X1,sK1)
| plus(X0,X1) = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_448])]) ).
fof(f3869,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK3)
| ~ int_less(X0,int_zero)
| ~ int_leq(X1,sK1)
| plus(X0,X1) = sK1 )
| ~ spl6_86
| ~ spl6_187 ),
inference(resolution,[],[f815,f2671]) ).
fof(f10885,plain,
( spl6_447
| ~ spl6_45
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f3856,f3196,f393,f10883]) ).
fof(f10883,plain,
( spl6_447
<=> ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(X0,sK5(sK1,sK3)) = sK5(int_zero,sK5(X0,sK5(sK1,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_447])]) ).
fof(f3856,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(X0,sK5(sK1,sK3)) = sK5(int_zero,sK5(X0,sK5(sK1,sK3))) )
| ~ spl6_45
| ~ spl6_196 ),
inference(resolution,[],[f395,f3197]) ).
fof(f10881,plain,
( spl6_446
| ~ spl6_34
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f3269,f3196,f281,f10879]) ).
fof(f10879,plain,
( spl6_446
<=> ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(X0,sK5(n,sK3)) = sK5(int_zero,sK5(X0,sK5(n,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_446])]) ).
fof(f3269,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(X0,sK5(n,sK3)) = sK5(int_zero,sK5(X0,sK5(n,sK3))) )
| ~ spl6_34
| ~ spl6_196 ),
inference(resolution,[],[f3197,f283]) ).
fof(f10877,plain,
( spl6_445
| ~ spl6_24
| ~ spl6_195 ),
inference(avatar_split_clause,[],[f3207,f3192,f195,f10875]) ).
fof(f10875,plain,
( spl6_445
<=> ! [X0,X1] :
( ~ int_less(X0,X1)
| sK5(X0,plus(X1,sK3)) = sK5(int_zero,sK5(X0,plus(X1,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_445])]) ).
fof(f3192,plain,
( spl6_195
<=> ! [X2,X0,X1] :
( sK5(X0,plus(X1,X2)) = sK5(int_zero,sK5(X0,plus(X1,X2)))
| ~ int_less(X0,X1)
| ~ int_less(int_zero,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_195])]) ).
fof(f3207,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| sK5(X0,plus(X1,sK3)) = sK5(int_zero,sK5(X0,plus(X1,sK3))) )
| ~ spl6_24
| ~ spl6_195 ),
inference(resolution,[],[f3193,f197]) ).
fof(f3193,plain,
( ! [X2,X0,X1] :
( ~ int_less(int_zero,X2)
| ~ int_less(X0,X1)
| sK5(X0,plus(X1,X2)) = sK5(int_zero,sK5(X0,plus(X1,X2))) )
| ~ spl6_195 ),
inference(avatar_component_clause,[],[f3192]) ).
fof(f10871,plain,
( spl6_444
| ~ spl6_85
| ~ spl6_187 ),
inference(avatar_split_clause,[],[f2947,f2670,f810,f10869]) ).
fof(f10869,plain,
( spl6_444
<=> ! [X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_leq(X1,int_one)
| int_one = plus(X0,X1)
| int_less(plus(X0,X1),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_444])]) ).
fof(f810,plain,
( spl6_85
<=> ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_85])]) ).
fof(f2947,plain,
( ! [X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_leq(X1,int_one)
| int_one = plus(X0,X1)
| int_less(plus(X0,X1),sK3) )
| ~ spl6_85
| ~ spl6_187 ),
inference(resolution,[],[f2671,f811]) ).
fof(f811,plain,
( ! [X0] :
( ~ int_less(X0,int_one)
| int_less(X0,sK3) )
| ~ spl6_85 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f10867,plain,
( spl6_443
| ~ spl6_83
| ~ spl6_187 ),
inference(avatar_split_clause,[],[f2944,f2670,f802,f10865]) ).
fof(f10865,plain,
( spl6_443
<=> ! [X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_leq(X1,int_zero)
| int_zero = plus(X0,X1)
| int_less(plus(X0,X1),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_443])]) ).
fof(f802,plain,
( spl6_83
<=> ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_83])]) ).
fof(f2944,plain,
( ! [X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_leq(X1,int_zero)
| int_zero = plus(X0,X1)
| int_less(plus(X0,X1),sK3) )
| ~ spl6_83
| ~ spl6_187 ),
inference(resolution,[],[f2671,f803]) ).
fof(f803,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| int_less(X0,sK3) )
| ~ spl6_83 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f10861,plain,
( spl6_442
| ~ spl6_85
| ~ spl6_182 ),
inference(avatar_split_clause,[],[f2725,f2645,f810,f10859]) ).
fof(f10859,plain,
( spl6_442
<=> ! [X0,X1] :
( ~ int_less(X0,int_one)
| ~ int_leq(X1,int_zero)
| int_one = plus(X0,X1)
| int_less(plus(X0,X1),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_442])]) ).
fof(f2725,plain,
( ! [X0,X1] :
( ~ int_less(X0,int_one)
| ~ int_leq(X1,int_zero)
| int_one = plus(X0,X1)
| int_less(plus(X0,X1),sK3) )
| ~ spl6_85
| ~ spl6_182 ),
inference(resolution,[],[f2646,f811]) ).
fof(f10856,plain,
( spl6_441
| ~ spl6_17
| ~ spl6_255 ),
inference(avatar_split_clause,[],[f6480,f6218,f155,f10853]) ).
fof(f10853,plain,
( spl6_441
<=> int_leq(int_one,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_441])]) ).
fof(f6480,plain,
( int_leq(int_one,sK5(sK1,sK3))
| ~ spl6_17
| ~ spl6_255 ),
inference(resolution,[],[f6219,f156]) ).
fof(f10521,plain,
( spl6_440
| ~ spl6_20
| ~ spl6_247 ),
inference(avatar_split_clause,[],[f6273,f5362,f167,f10518]) ).
fof(f10518,plain,
( spl6_440
<=> int_leq(int_zero,sK5(sK2,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_440])]) ).
fof(f6273,plain,
( int_leq(int_zero,sK5(sK2,n))
| ~ spl6_20
| ~ spl6_247 ),
inference(resolution,[],[f5363,f168]) ).
fof(f5363,plain,
( int_less(int_zero,sK5(sK2,n))
| ~ spl6_247 ),
inference(avatar_component_clause,[],[f5362]) ).
fof(f10460,plain,
( spl6_439
| ~ spl6_55
| ~ spl6_417 ),
inference(avatar_split_clause,[],[f10263,f10260,f469,f10458]) ).
fof(f10458,plain,
( spl6_439
<=> ! [X0] :
( int_less(plus(X0,sK3),sK1)
| ~ int_less(X0,n)
| ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_439])]) ).
fof(f10260,plain,
( spl6_417
<=> ! [X0] :
( int_less(plus(X0,sK3),int_one)
| ~ int_less(X0,n)
| ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_417])]) ).
fof(f10263,plain,
( ! [X0] :
( int_less(plus(X0,sK3),sK1)
| ~ int_less(X0,n)
| ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero) )
| ~ spl6_55
| ~ spl6_417 ),
inference(forward_demodulation,[],[f10261,f471]) ).
fof(f10261,plain,
( ! [X0] :
( ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero)
| ~ int_less(X0,n)
| int_less(plus(X0,sK3),int_one) )
| ~ spl6_417 ),
inference(avatar_component_clause,[],[f10260]) ).
fof(f10456,plain,
( spl6_438
| ~ spl6_55
| ~ spl6_416 ),
inference(avatar_split_clause,[],[f10258,f10255,f469,f10454]) ).
fof(f10454,plain,
( spl6_438
<=> ! [X0] :
( ~ int_less(sK1,X0)
| ~ int_leq(plus(X0,sK3),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_438])]) ).
fof(f10255,plain,
( spl6_416
<=> ! [X0] :
( ~ int_leq(plus(X0,sK3),n)
| ~ int_less(int_one,X0)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_416])]) ).
fof(f10258,plain,
( ! [X0] :
( ~ int_less(sK1,X0)
| ~ int_leq(plus(X0,sK3),n)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3))) )
| ~ spl6_55
| ~ spl6_416 ),
inference(forward_demodulation,[],[f10256,f471]) ).
fof(f10256,plain,
( ! [X0] :
( ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(int_one,X0)
| ~ int_leq(plus(X0,sK3),n) )
| ~ spl6_416 ),
inference(avatar_component_clause,[],[f10255]) ).
fof(f10423,plain,
( spl6_437
| ~ spl6_86
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f3860,f2603,f814,f10421]) ).
fof(f10421,plain,
( spl6_437
<=> ! [X0] :
( int_less(X0,sK3)
| sK5(sK1,X0) = sK5(int_zero,sK5(sK1,X0))
| sK1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_437])]) ).
fof(f3860,plain,
( ! [X0] :
( int_less(X0,sK3)
| sK5(sK1,X0) = sK5(int_zero,sK5(sK1,X0))
| sK1 = X0 )
| ~ spl6_86
| ~ spl6_180 ),
inference(resolution,[],[f815,f2604]) ).
fof(f10419,plain,
( spl6_436
| ~ spl6_45
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f3855,f3104,f393,f10417]) ).
fof(f10417,plain,
( spl6_436
<=> ! [X0] : plus(X0,sK5(sK1,sK3)) = plus(X0,sK5(X0,plus(X0,sK5(sK1,sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_436])]) ).
fof(f3855,plain,
( ! [X0] : plus(X0,sK5(sK1,sK3)) = plus(X0,sK5(X0,plus(X0,sK5(sK1,sK3))))
| ~ spl6_45
| ~ spl6_192 ),
inference(resolution,[],[f395,f3105]) ).
fof(f10414,plain,
( spl6_435
| ~ spl6_17
| ~ spl6_247 ),
inference(avatar_split_clause,[],[f6263,f5362,f155,f10411]) ).
fof(f10411,plain,
( spl6_435
<=> int_leq(int_one,sK5(sK2,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_435])]) ).
fof(f6263,plain,
( int_leq(int_one,sK5(sK2,n))
| ~ spl6_17
| ~ spl6_247 ),
inference(resolution,[],[f5363,f156]) ).
fof(f10409,plain,
( spl6_434
| ~ spl6_34
| ~ spl6_192 ),
inference(avatar_split_clause,[],[f3155,f3104,f281,f10407]) ).
fof(f10407,plain,
( spl6_434
<=> ! [X0] : plus(X0,sK5(n,sK3)) = plus(X0,sK5(X0,plus(X0,sK5(n,sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_434])]) ).
fof(f3155,plain,
( ! [X0] : plus(X0,sK5(n,sK3)) = plus(X0,sK5(X0,plus(X0,sK5(n,sK3))))
| ~ spl6_34
| ~ spl6_192 ),
inference(resolution,[],[f3105,f283]) ).
fof(f10403,plain,
( spl6_433
| ~ spl6_85
| ~ spl6_180 ),
inference(avatar_split_clause,[],[f2628,f2603,f810,f10401]) ).
fof(f10401,plain,
( spl6_433
<=> ! [X0] :
( sK5(int_one,X0) = sK5(int_zero,sK5(int_one,X0))
| int_one = X0
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_433])]) ).
fof(f2628,plain,
( ! [X0] :
( sK5(int_one,X0) = sK5(int_zero,sK5(int_one,X0))
| int_one = X0
| int_less(X0,sK3) )
| ~ spl6_85
| ~ spl6_180 ),
inference(resolution,[],[f2604,f811]) ).
fof(f10379,plain,
( spl6_429
| ~ spl6_55
| ~ spl6_432 ),
inference(avatar_split_clause,[],[f10365,f10356,f469,f10313]) ).
fof(f10313,plain,
( spl6_429
<=> int_less(sK1,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_429])]) ).
fof(f10356,plain,
( spl6_432
<=> int_less(int_one,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_432])]) ).
fof(f10365,plain,
( int_less(sK1,sK5(sK1,sK3))
| ~ spl6_55
| ~ spl6_432 ),
inference(forward_demodulation,[],[f10358,f471]) ).
fof(f10358,plain,
( int_less(int_one,sK5(sK1,sK3))
| ~ spl6_432 ),
inference(avatar_component_clause,[],[f10356]) ).
fof(f10378,plain,
( ~ spl6_430
| ~ spl6_55
| spl6_431 ),
inference(avatar_split_clause,[],[f10364,f10352,f469,f10319]) ).
fof(f10319,plain,
( spl6_430
<=> sK1 = sK5(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_430])]) ).
fof(f10352,plain,
( spl6_431
<=> int_one = sK5(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_431])]) ).
fof(f10364,plain,
( sK1 != sK5(sK1,sK3)
| ~ spl6_55
| spl6_431 ),
inference(forward_demodulation,[],[f10353,f471]) ).
fof(f10353,plain,
( int_one != sK5(sK1,sK3)
| spl6_431 ),
inference(avatar_component_clause,[],[f10352]) ).
fof(f10363,plain,
( spl6_320
| ~ spl6_55
| ~ spl6_430
| ~ spl6_432 ),
inference(avatar_split_clause,[],[f10361,f10356,f10319,f469,f7808]) ).
fof(f10361,plain,
( int_less(sK1,sK1)
| ~ spl6_55
| ~ spl6_430
| ~ spl6_432 ),
inference(forward_demodulation,[],[f10360,f471]) ).
fof(f10360,plain,
( int_less(int_one,sK1)
| ~ spl6_430
| ~ spl6_432 ),
inference(forward_demodulation,[],[f10358,f10321]) ).
fof(f10321,plain,
( sK1 = sK5(sK1,sK3)
| ~ spl6_430 ),
inference(avatar_component_clause,[],[f10319]) ).
fof(f10359,plain,
( spl6_431
| ~ spl6_255
| spl6_432
| ~ spl6_94
| ~ spl6_168 ),
inference(avatar_split_clause,[],[f2319,f2254,f964,f10356,f6218,f10352]) ).
fof(f2254,plain,
( spl6_168
<=> ! [X0,X1] :
( ~ int_less(X0,X1)
| int_less(int_one,sK5(X0,X1))
| int_one = sK5(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_168])]) ).
fof(f2319,plain,
( int_less(int_one,sK5(sK1,sK3))
| ~ int_less(int_zero,sK5(sK1,sK3))
| int_one = sK5(sK1,sK3)
| ~ spl6_94
| ~ spl6_168 ),
inference(superposition,[],[f2255,f966]) ).
fof(f2255,plain,
( ! [X0,X1] :
( int_less(int_one,sK5(X0,X1))
| ~ int_less(X0,X1)
| int_one = sK5(X0,X1) )
| ~ spl6_168 ),
inference(avatar_component_clause,[],[f2254]) ).
fof(f10322,plain,
( spl6_430
| ~ spl6_55
| ~ spl6_427 ),
inference(avatar_split_clause,[],[f10311,f10302,f469,f10319]) ).
fof(f10302,plain,
( spl6_427
<=> int_one = sK5(int_one,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_427])]) ).
fof(f10311,plain,
( sK1 = sK5(sK1,sK3)
| ~ spl6_55
| ~ spl6_427 ),
inference(forward_demodulation,[],[f10304,f471]) ).
fof(f10304,plain,
( int_one = sK5(int_one,sK3)
| ~ spl6_427 ),
inference(avatar_component_clause,[],[f10302]) ).
fof(f10316,plain,
( ~ spl6_429
| ~ spl6_55
| spl6_428 ),
inference(avatar_split_clause,[],[f10310,f10306,f469,f10313]) ).
fof(f10306,plain,
( spl6_428
<=> int_less(int_one,sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_428])]) ).
fof(f10310,plain,
( ~ int_less(sK1,sK5(sK1,sK3))
| ~ spl6_55
| spl6_428 ),
inference(forward_demodulation,[],[f10307,f471]) ).
fof(f10307,plain,
( ~ int_less(int_one,sK5(int_one,sK3))
| spl6_428 ),
inference(avatar_component_clause,[],[f10306]) ).
fof(f10309,plain,
( spl6_427
| ~ spl6_227
| spl6_428
| ~ spl6_93
| ~ spl6_168 ),
inference(avatar_split_clause,[],[f2318,f2254,f938,f10306,f4216,f10302]) ).
fof(f2318,plain,
( int_less(int_one,sK5(int_one,sK3))
| ~ int_less(int_zero,sK5(int_one,sK3))
| int_one = sK5(int_one,sK3)
| ~ spl6_93
| ~ spl6_168 ),
inference(superposition,[],[f2255,f940]) ).
fof(f10300,plain,
( spl6_426
| ~ spl6_96
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2050,f1661,f985,f10298]) ).
fof(f10298,plain,
( spl6_426
<=> ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_leq(X1,X0)
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_426])]) ).
fof(f2050,plain,
( ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_leq(X1,X0)
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) )
| ~ spl6_96
| ~ spl6_152 ),
inference(superposition,[],[f1662,f986]) ).
fof(f10296,plain,
( spl6_425
| ~ spl6_96
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1854,f1657,f985,f10294]) ).
fof(f10294,plain,
( spl6_425
<=> ! [X0,X1] :
( int_leq(plus(X0,sK3),X1)
| ~ int_leq(X0,X1)
| ~ int_less(sK5(X0,plus(X0,sK3)),int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_425])]) ).
fof(f1854,plain,
( ! [X0,X1] :
( int_leq(plus(X0,sK3),X1)
| ~ int_leq(X0,X1)
| ~ int_less(sK5(X0,plus(X0,sK3)),int_zero) )
| ~ spl6_96
| ~ spl6_151 ),
inference(superposition,[],[f1658,f986]) ).
fof(f10292,plain,
( spl6_424
| ~ spl6_96
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1833,f1644,f985,f10290]) ).
fof(f10290,plain,
( spl6_424
<=> ! [X0,X1] :
( int_leq(plus(X0,sK3),X1)
| ~ int_leq(X0,int_zero)
| ~ int_less(sK5(X0,plus(X0,sK3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_424])]) ).
fof(f1833,plain,
( ! [X0,X1] :
( int_leq(plus(X0,sK3),X1)
| ~ int_leq(X0,int_zero)
| ~ int_less(sK5(X0,plus(X0,sK3)),X1) )
| ~ spl6_96
| ~ spl6_148 ),
inference(superposition,[],[f1645,f986]) ).
fof(f10288,plain,
( spl6_423
| ~ spl6_96
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1812,f1629,f985,f10286]) ).
fof(f10286,plain,
( spl6_423
<=> ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_leq(int_zero,X0)
| ~ int_less(X1,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_423])]) ).
fof(f1812,plain,
( ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_leq(int_zero,X0)
| ~ int_less(X1,sK5(X0,plus(X0,sK3))) )
| ~ spl6_96
| ~ spl6_145 ),
inference(superposition,[],[f1630,f986]) ).
fof(f10284,plain,
( spl6_422
| ~ spl6_96
| ~ spl6_143 ),
inference(avatar_split_clause,[],[f1769,f1614,f985,f10282]) ).
fof(f10282,plain,
( spl6_422
<=> ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_422])]) ).
fof(f1769,plain,
( ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(X1,X0) )
| ~ spl6_96
| ~ spl6_143 ),
inference(superposition,[],[f1615,f986]) ).
fof(f10280,plain,
( spl6_421
| ~ spl6_96
| ~ spl6_140 ),
inference(avatar_split_clause,[],[f1724,f1602,f985,f10278]) ).
fof(f10278,plain,
( spl6_421
<=> ! [X0,X1] :
( int_less(X1,plus(X0,sK3))
| ~ int_less(int_zero,X0)
| ~ int_less(X1,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_421])]) ).
fof(f1602,plain,
( spl6_140
<=> ! [X2,X0,X1] :
( ~ int_less(int_zero,X0)
| int_less(X1,plus(X0,X2))
| ~ int_less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_140])]) ).
fof(f1724,plain,
( ! [X0,X1] :
( int_less(X1,plus(X0,sK3))
| ~ int_less(int_zero,X0)
| ~ int_less(X1,sK5(X0,plus(X0,sK3))) )
| ~ spl6_96
| ~ spl6_140 ),
inference(superposition,[],[f1603,f986]) ).
fof(f1603,plain,
( ! [X2,X0,X1] :
( int_less(X1,plus(X0,X2))
| ~ int_less(int_zero,X0)
| ~ int_less(X1,X2) )
| ~ spl6_140 ),
inference(avatar_component_clause,[],[f1602]) ).
fof(f10276,plain,
( spl6_420
| ~ spl6_96
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1700,f1598,f985,f10274]) ).
fof(f10274,plain,
( spl6_420
<=> ! [X0,X1] :
( int_leq(plus(X0,sK3),X1)
| ~ int_leq(sK5(X0,plus(X0,sK3)),X1)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_420])]) ).
fof(f1700,plain,
( ! [X0,X1] :
( int_leq(plus(X0,sK3),X1)
| ~ int_leq(sK5(X0,plus(X0,sK3)),X1)
| ~ int_less(X0,int_zero) )
| ~ spl6_96
| ~ spl6_139 ),
inference(superposition,[],[f1599,f986]) ).
fof(f10272,plain,
( spl6_419
| ~ spl6_96
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1682,f1594,f985,f10270]) ).
fof(f10270,plain,
( spl6_419
<=> ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_leq(X1,sK5(X0,plus(X0,sK3)))
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_419])]) ).
fof(f1682,plain,
( ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_leq(X1,sK5(X0,plus(X0,sK3)))
| ~ int_less(int_zero,X0) )
| ~ spl6_96
| ~ spl6_138 ),
inference(superposition,[],[f1595,f986]) ).
fof(f10268,plain,
( spl6_418
| ~ spl6_19
| spl6_256 ),
inference(avatar_split_clause,[],[f6236,f6222,f163,f10265]) ).
fof(f10265,plain,
( spl6_418
<=> int_less(n,sK5(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_418])]) ).
fof(f6222,plain,
( spl6_256
<=> int_leq(sK5(sK1,sK3),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_256])]) ).
fof(f6236,plain,
( int_less(n,sK5(sK1,sK3))
| ~ spl6_19
| spl6_256 ),
inference(resolution,[],[f6224,f164]) ).
fof(f6224,plain,
( ~ int_leq(sK5(sK1,sK3),n)
| spl6_256 ),
inference(avatar_component_clause,[],[f6222]) ).
fof(f10262,plain,
( spl6_417
| ~ spl6_96
| ~ spl6_137 ),
inference(avatar_split_clause,[],[f1579,f1549,f985,f10260]) ).
fof(f1549,plain,
( spl6_137
<=> ! [X0,X1] :
( ~ int_leq(X0,int_zero)
| ~ int_less(X1,n)
| int_less(plus(X1,X0),int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_137])]) ).
fof(f1579,plain,
( ! [X0] :
( int_less(plus(X0,sK3),int_one)
| ~ int_less(X0,n)
| ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero) )
| ~ spl6_96
| ~ spl6_137 ),
inference(superposition,[],[f1550,f986]) ).
fof(f1550,plain,
( ! [X0,X1] :
( int_less(plus(X1,X0),int_one)
| ~ int_less(X1,n)
| ~ int_leq(X0,int_zero) )
| ~ spl6_137 ),
inference(avatar_component_clause,[],[f1549]) ).
fof(f10257,plain,
( spl6_416
| ~ spl6_96
| ~ spl6_135 ),
inference(avatar_split_clause,[],[f1557,f1540,f985,f10255]) ).
fof(f1557,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK3),n)
| ~ int_less(int_one,X0)
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3))) )
| ~ spl6_96
| ~ spl6_135 ),
inference(superposition,[],[f1541,f986]) ).
fof(f10253,plain,
( spl6_415
| ~ spl6_74
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f999,f985,f625,f10251]) ).
fof(f10251,plain,
( spl6_415
<=> ! [X0,X1] :
( int_leq(plus(X0,sK3),X1)
| ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_415])]) ).
fof(f999,plain,
( ! [X0,X1] :
( int_leq(plus(X0,sK3),X1)
| ~ int_leq(sK5(X0,plus(X0,sK3)),int_zero)
| ~ int_less(X0,X1) )
| ~ spl6_74
| ~ spl6_96 ),
inference(superposition,[],[f626,f986]) ).
fof(f10249,plain,
( spl6_414
| ~ spl6_73
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f998,f985,f621,f10247]) ).
fof(f10247,plain,
( spl6_414
<=> ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_414])]) ).
fof(f998,plain,
( ! [X0,X1] :
( int_leq(X1,plus(X0,sK3))
| ~ int_leq(int_zero,sK5(X0,plus(X0,sK3)))
| ~ int_less(X1,X0) )
| ~ spl6_73
| ~ spl6_96 ),
inference(superposition,[],[f622,f986]) ).
fof(f10245,plain,
( spl6_413
| ~ spl6_72
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f997,f985,f617,f10243]) ).
fof(f10243,plain,
( spl6_413
<=> ! [X0,X1] :
( int_less(X1,plus(X0,sK3))
| ~ int_less(X1,X0)
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_413])]) ).
fof(f617,plain,
( spl6_72
<=> ! [X2,X0,X1] :
( int_less(X0,plus(X1,X2))
| ~ int_less(X0,X1)
| ~ int_less(int_zero,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_72])]) ).
fof(f997,plain,
( ! [X0,X1] :
( int_less(X1,plus(X0,sK3))
| ~ int_less(X1,X0)
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) )
| ~ spl6_72
| ~ spl6_96 ),
inference(superposition,[],[f618,f986]) ).
fof(f618,plain,
( ! [X2,X0,X1] :
( int_less(X0,plus(X1,X2))
| ~ int_less(X0,X1)
| ~ int_less(int_zero,X2) )
| ~ spl6_72 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f9991,plain,
( spl6_412
| ~ spl6_19
| spl6_248 ),
inference(avatar_split_clause,[],[f6052,f5366,f163,f9988]) ).
fof(f9988,plain,
( spl6_412
<=> int_less(sK5(sK2,n),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_412])]) ).
fof(f5366,plain,
( spl6_248
<=> int_leq(sK3,sK5(sK2,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_248])]) ).
fof(f6052,plain,
( int_less(sK5(sK2,n),sK3)
| ~ spl6_19
| spl6_248 ),
inference(resolution,[],[f5367,f164]) ).
fof(f5367,plain,
( ~ int_leq(sK3,sK5(sK2,n))
| spl6_248 ),
inference(avatar_component_clause,[],[f5366]) ).
fof(f9955,plain,
( spl6_411
| ~ spl6_73
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8720,f8684,f621,f9953]) ).
fof(f9953,plain,
( spl6_411
<=> ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_411])]) ).
fof(f8720,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_345 ),
inference(duplicate_literal_removal,[],[f8699]) ).
fof(f8699,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_345 ),
inference(resolution,[],[f8685,f622]) ).
fof(f9943,plain,
( ~ spl6_101
| spl6_410
| ~ spl6_119
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8700,f8684,f1263,f9941,f1048]) ).
fof(f1048,plain,
( spl6_101
<=> int_leq(int_zero,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_101])]) ).
fof(f9941,plain,
( spl6_410
<=> ! [X0] :
( ~ int_leq(plus(X0,sK1),n)
| ~ int_less(int_zero,X0)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_410])]) ).
fof(f8700,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),n)
| ~ int_leq(int_zero,sK1)
| ~ int_less(sK3,X0)
| ~ int_less(int_zero,X0) )
| ~ spl6_119
| ~ spl6_345 ),
inference(resolution,[],[f8685,f1264]) ).
fof(f9939,plain,
( spl6_409
| ~ spl6_73
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7790,f7761,f621,f9937]) ).
fof(f7790,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_319 ),
inference(duplicate_literal_removal,[],[f7769]) ).
fof(f7769,plain,
( ! [X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_319 ),
inference(resolution,[],[f7762,f622]) ).
fof(f9927,plain,
( ~ spl6_101
| spl6_408
| ~ spl6_119
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7770,f7761,f1263,f9925,f1048]) ).
fof(f9925,plain,
( spl6_408
<=> ! [X0] :
( ~ int_leq(plus(X0,sK1),sK2)
| ~ int_less(int_zero,X0)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_408])]) ).
fof(f7770,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),sK2)
| ~ int_leq(int_zero,sK1)
| ~ int_less(sK3,X0)
| ~ int_less(int_zero,X0) )
| ~ spl6_119
| ~ spl6_319 ),
inference(resolution,[],[f7762,f1264]) ).
fof(f9923,plain,
( spl6_407
| ~ spl6_45
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f3854,f2981,f393,f9921]) ).
fof(f9921,plain,
( spl6_407
<=> ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(sK1,sK3) = plus(X0,sK5(X0,sK5(sK1,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_407])]) ).
fof(f3854,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(sK1,sK3) = plus(X0,sK5(X0,sK5(sK1,sK3))) )
| ~ spl6_45
| ~ spl6_189 ),
inference(resolution,[],[f395,f2982]) ).
fof(f9919,plain,
( spl6_406
| ~ spl6_24
| ~ spl6_190 ),
inference(avatar_split_clause,[],[f3052,f2985,f195,f9917]) ).
fof(f9917,plain,
( spl6_406
<=> ! [X0,X1] :
( ~ int_less(X0,X1)
| plus(X1,sK3) = plus(X0,sK5(X0,plus(X1,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_406])]) ).
fof(f2985,plain,
( spl6_190
<=> ! [X2,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_less(int_zero,X2)
| plus(X1,X2) = plus(X0,sK5(X0,plus(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_190])]) ).
fof(f3052,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| plus(X1,sK3) = plus(X0,sK5(X0,plus(X1,sK3))) )
| ~ spl6_24
| ~ spl6_190 ),
inference(resolution,[],[f2986,f197]) ).
fof(f2986,plain,
( ! [X2,X0,X1] :
( ~ int_less(int_zero,X2)
| ~ int_less(X0,X1)
| plus(X1,X2) = plus(X0,sK5(X0,plus(X1,X2))) )
| ~ spl6_190 ),
inference(avatar_component_clause,[],[f2985]) ).
fof(f9915,plain,
( spl6_405
| ~ spl6_34
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f3030,f2981,f281,f9913]) ).
fof(f9913,plain,
( spl6_405
<=> ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(n,sK3) = plus(X0,sK5(X0,sK5(n,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_405])]) ).
fof(f3030,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(n,sK3) = plus(X0,sK5(X0,sK5(n,sK3))) )
| ~ spl6_34
| ~ spl6_189 ),
inference(resolution,[],[f2982,f283]) ).
fof(f9911,plain,
( ~ spl6_404
| ~ spl6_55
| spl6_237 ),
inference(avatar_split_clause,[],[f4575,f4316,f469,f9908]) ).
fof(f9908,plain,
( spl6_404
<=> int_leq(sK5(sK1,sK1),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_404])]) ).
fof(f4316,plain,
( spl6_237
<=> int_leq(sK5(int_one,sK1),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_237])]) ).
fof(f4575,plain,
( ~ int_leq(sK5(sK1,sK1),int_zero)
| ~ spl6_55
| spl6_237 ),
inference(superposition,[],[f4318,f471]) ).
fof(f4318,plain,
( ~ int_leq(sK5(int_one,sK1),int_zero)
| spl6_237 ),
inference(avatar_component_clause,[],[f4316]) ).
fof(f9894,plain,
( spl6_403
| ~ spl6_55
| ~ spl6_402 ),
inference(avatar_split_clause,[],[f9890,f9887,f469,f9892]) ).
fof(f9892,plain,
( spl6_403
<=> ! [X0] :
( ~ int_leq(X0,sK5(sK1,sK3))
| int_less(X0,sK3)
| sK3 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_403])]) ).
fof(f9887,plain,
( spl6_402
<=> ! [X0] :
( int_less(X0,sK3)
| sK3 = X0
| ~ int_leq(X0,sK5(int_one,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_402])]) ).
fof(f9890,plain,
( ! [X0] :
( ~ int_leq(X0,sK5(sK1,sK3))
| int_less(X0,sK3)
| sK3 = X0 )
| ~ spl6_55
| ~ spl6_402 ),
inference(forward_demodulation,[],[f9888,f471]) ).
fof(f9888,plain,
( ! [X0] :
( ~ int_leq(X0,sK5(int_one,sK3))
| sK3 = X0
| int_less(X0,sK3) )
| ~ spl6_402 ),
inference(avatar_component_clause,[],[f9887]) ).
fof(f9889,plain,
( ~ spl6_5
| spl6_402
| ~ spl6_90
| ~ spl6_186 ),
inference(avatar_split_clause,[],[f2914,f2666,f854,f9887,f94]) ).
fof(f2914,plain,
( ! [X0] :
( int_less(X0,sK3)
| ~ int_less(int_zero,int_one)
| ~ int_leq(X0,sK5(int_one,sK3))
| sK3 = X0 )
| ~ spl6_90
| ~ spl6_186 ),
inference(superposition,[],[f2667,f856]) ).
fof(f9885,plain,
( spl6_401
| ~ spl6_85
| ~ spl6_179 ),
inference(avatar_split_clause,[],[f2583,f2487,f810,f9883]) ).
fof(f9883,plain,
( spl6_401
<=> ! [X0,X1] :
( plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1)))
| int_less(X1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_401])]) ).
fof(f2487,plain,
( spl6_179
<=> ! [X0,X1] :
( plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1)))
| int_less(X1,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_179])]) ).
fof(f2583,plain,
( ! [X0,X1] :
( plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1)))
| int_less(X1,sK3) )
| ~ spl6_85
| ~ spl6_179 ),
inference(resolution,[],[f2488,f811]) ).
fof(f2488,plain,
( ! [X0,X1] :
( int_less(X1,int_one)
| plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1))) )
| ~ spl6_179 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f9769,plain,
( spl6_400
| ~ spl6_55
| ~ spl6_230 ),
inference(avatar_split_clause,[],[f4573,f4232,f469,f9766]) ).
fof(f9766,plain,
( spl6_400
<=> int_less(int_zero,sK5(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_400])]) ).
fof(f4573,plain,
( int_less(int_zero,sK5(sK1,sK1))
| ~ spl6_55
| ~ spl6_230 ),
inference(superposition,[],[f4233,f471]) ).
fof(f4233,plain,
( int_less(int_zero,sK5(int_one,sK1))
| ~ spl6_230 ),
inference(avatar_component_clause,[],[f4232]) ).
fof(f9598,plain,
( spl6_399
| ~ spl6_119
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9349,f8634,f1263,f9596]) ).
fof(f9596,plain,
( spl6_399
<=> ! [X0] :
( ~ int_leq(plus(X0,sK1),sK2)
| int_less(plus(X0,sK1),sK3)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_399])]) ).
fof(f9349,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK1),sK2)
| int_less(plus(X0,sK1),sK3)
| ~ int_less(int_zero,X0) )
| ~ spl6_119
| ~ spl6_344 ),
inference(resolution,[],[f8635,f1264]) ).
fof(f9594,plain,
( spl6_398
| ~ spl6_67
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9343,f8634,f555,f9592]) ).
fof(f9592,plain,
( spl6_398
<=> ! [X0] :
( ~ int_leq(plus(sK1,X0),sK2)
| int_less(plus(sK1,X0),sK3)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_398])]) ).
fof(f9343,plain,
( ! [X0] :
( ~ int_leq(plus(sK1,X0),sK2)
| int_less(plus(sK1,X0),sK3)
| ~ int_less(int_zero,X0) )
| ~ spl6_67
| ~ spl6_344 ),
inference(resolution,[],[f8635,f556]) ).
fof(f9589,plain,
( spl6_397
| ~ spl6_19
| spl6_228 ),
inference(avatar_split_clause,[],[f4452,f4220,f163,f9586]) ).
fof(f9586,plain,
( spl6_397
<=> int_less(n,sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_397])]) ).
fof(f4220,plain,
( spl6_228
<=> int_leq(sK5(int_one,sK3),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_228])]) ).
fof(f4452,plain,
( int_less(n,sK5(int_one,sK3))
| ~ spl6_19
| spl6_228 ),
inference(resolution,[],[f4222,f164]) ).
fof(f4222,plain,
( ~ int_leq(sK5(int_one,sK3),n)
| spl6_228 ),
inference(avatar_component_clause,[],[f4220]) ).
fof(f9584,plain,
( spl6_396
| ~ spl6_242
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9338,f8634,f4820,f9582]) ).
fof(f9582,plain,
( spl6_396
<=> ! [X0,X1] :
( ~ int_leq(sK5(X0,X1),sK2)
| int_less(sK5(X0,X1),sK3)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_396])]) ).
fof(f9338,plain,
( ! [X0,X1] :
( ~ int_leq(sK5(X0,X1),sK2)
| int_less(sK5(X0,X1),sK3)
| ~ int_less(X0,X1) )
| ~ spl6_242
| ~ spl6_344 ),
inference(resolution,[],[f8635,f4821]) ).
fof(f9580,plain,
( spl6_395
| ~ spl6_91
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f5877,f2266,f859,f9578]) ).
fof(f9578,plain,
( spl6_395
<=> ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK1,X0)
| ~ int_less(sK5(sK1,sK3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_395])]) ).
fof(f5877,plain,
( ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK1,X0)
| ~ int_less(sK5(sK1,sK3),X1) )
| ~ spl6_91
| ~ spl6_171 ),
inference(superposition,[],[f2267,f861]) ).
fof(f9576,plain,
( spl6_394
| ~ spl6_91
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f5876,f2266,f859,f9574]) ).
fof(f9574,plain,
( spl6_394
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X0,sK1)
| ~ int_less(X1,sK5(sK1,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_394])]) ).
fof(f5876,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X0,sK1)
| ~ int_less(X1,sK5(sK1,sK3)) )
| ~ spl6_91
| ~ spl6_171 ),
inference(superposition,[],[f2267,f861]) ).
fof(f9572,plain,
( spl6_393
| ~ spl6_78
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5859,f859,f698,f9570]) ).
fof(f9570,plain,
( spl6_393
<=> ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK5(sK1,sK3),X0)
| ~ int_less(sK1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_393])]) ).
fof(f5859,plain,
( ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK5(sK1,sK3),X0)
| ~ int_less(sK1,X1) )
| ~ spl6_78
| ~ spl6_91 ),
inference(superposition,[],[f699,f861]) ).
fof(f9568,plain,
( spl6_392
| ~ spl6_78
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5858,f859,f698,f9566]) ).
fof(f9566,plain,
( spl6_392
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X1,sK1)
| ~ int_less(X0,sK5(sK1,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_392])]) ).
fof(f5858,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X1,sK1)
| ~ int_less(X0,sK5(sK1,sK3)) )
| ~ spl6_78
| ~ spl6_91 ),
inference(superposition,[],[f699,f861]) ).
fof(f9564,plain,
( spl6_391
| ~ spl6_77
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5857,f859,f694,f9562]) ).
fof(f9562,plain,
( spl6_391
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X0,sK5(sK1,sK3))
| ~ int_less(X1,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_391])]) ).
fof(f5857,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X0,sK5(sK1,sK3))
| ~ int_less(X1,sK1) )
| ~ spl6_77
| ~ spl6_91 ),
inference(superposition,[],[f695,f861]) ).
fof(f9560,plain,
( spl6_390
| ~ spl6_77
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5856,f859,f694,f9558]) ).
fof(f9558,plain,
( spl6_390
<=> ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK1,X1)
| ~ int_less(sK5(sK1,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_390])]) ).
fof(f5856,plain,
( ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK1,X1)
| ~ int_less(sK5(sK1,sK3),X0) )
| ~ spl6_77
| ~ spl6_91 ),
inference(superposition,[],[f695,f861]) ).
fof(f9556,plain,
( spl6_389
| ~ spl6_28
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5850,f859,f235,f9554]) ).
fof(f9554,plain,
( spl6_389
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X1,sK5(sK1,sK3))
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_389])]) ).
fof(f5850,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X1,sK5(sK1,sK3))
| ~ int_less(X0,sK1) )
| ~ spl6_28
| ~ spl6_91 ),
inference(superposition,[],[f236,f861]) ).
fof(f9552,plain,
( spl6_388
| ~ spl6_28
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5849,f859,f235,f9550]) ).
fof(f9550,plain,
( spl6_388
<=> ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK5(sK1,sK3),X1)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_388])]) ).
fof(f5849,plain,
( ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK5(sK1,sK3),X1)
| ~ int_less(sK1,X0) )
| ~ spl6_28
| ~ spl6_91 ),
inference(superposition,[],[f236,f861]) ).
fof(f9548,plain,
( spl6_387
| ~ spl6_86
| ~ spl6_169 ),
inference(avatar_split_clause,[],[f3861,f2258,f814,f9546]) ).
fof(f9546,plain,
( spl6_387
<=> ! [X0] :
( int_less(X0,sK3)
| sK1 = X0
| plus(sK1,sK5(sK1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_387])]) ).
fof(f3861,plain,
( ! [X0] :
( int_less(X0,sK3)
| sK1 = X0
| plus(sK1,sK5(sK1,X0)) = X0 )
| ~ spl6_86
| ~ spl6_169 ),
inference(resolution,[],[f815,f2259]) ).
fof(f9543,plain,
( spl6_232
| ~ spl6_20
| ~ spl6_227 ),
inference(avatar_split_clause,[],[f4428,f4216,f167,f4253]) ).
fof(f4253,plain,
( spl6_232
<=> int_leq(int_zero,sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_232])]) ).
fof(f4428,plain,
( int_leq(int_zero,sK5(int_one,sK3))
| ~ spl6_20
| ~ spl6_227 ),
inference(resolution,[],[f4217,f168]) ).
fof(f4217,plain,
( int_less(int_zero,sK5(int_one,sK3))
| ~ spl6_227 ),
inference(avatar_component_clause,[],[f4216]) ).
fof(f9542,plain,
( spl6_386
| ~ spl6_24
| ~ spl6_184 ),
inference(avatar_split_clause,[],[f2799,f2658,f195,f9540]) ).
fof(f9540,plain,
( spl6_386
<=> ! [X0] : sK5(X0,plus(sK3,X0)) = sK5(int_zero,sK5(X0,plus(sK3,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_386])]) ).
fof(f2658,plain,
( spl6_184
<=> ! [X0,X1] :
( sK5(X0,plus(X1,X0)) = sK5(int_zero,sK5(X0,plus(X1,X0)))
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_184])]) ).
fof(f2799,plain,
( ! [X0] : sK5(X0,plus(sK3,X0)) = sK5(int_zero,sK5(X0,plus(sK3,X0)))
| ~ spl6_24
| ~ spl6_184 ),
inference(resolution,[],[f2659,f197]) ).
fof(f2659,plain,
( ! [X0,X1] :
( ~ int_less(int_zero,X1)
| sK5(X0,plus(X1,X0)) = sK5(int_zero,sK5(X0,plus(X1,X0))) )
| ~ spl6_184 ),
inference(avatar_component_clause,[],[f2658]) ).
fof(f9538,plain,
( spl6_385
| ~ spl6_24
| ~ spl6_183 ),
inference(avatar_split_clause,[],[f2770,f2654,f195,f9536]) ).
fof(f9536,plain,
( spl6_385
<=> ! [X0] : sK5(X0,plus(X0,sK3)) = sK5(int_zero,sK5(X0,plus(X0,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_385])]) ).
fof(f2654,plain,
( spl6_183
<=> ! [X0,X1] :
( sK5(X0,plus(X0,X1)) = sK5(int_zero,sK5(X0,plus(X0,X1)))
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_183])]) ).
fof(f2770,plain,
( ! [X0] : sK5(X0,plus(X0,sK3)) = sK5(int_zero,sK5(X0,plus(X0,sK3)))
| ~ spl6_24
| ~ spl6_183 ),
inference(resolution,[],[f2655,f197]) ).
fof(f2655,plain,
( ! [X0,X1] :
( ~ int_less(int_zero,X1)
| sK5(X0,plus(X0,X1)) = sK5(int_zero,sK5(X0,plus(X0,X1))) )
| ~ spl6_183 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f9532,plain,
( spl6_384
| ~ spl6_90
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2404,f2266,f854,f9530]) ).
fof(f9530,plain,
( spl6_384
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X0,int_one)
| ~ int_less(X1,sK5(int_one,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_384])]) ).
fof(f2404,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X0,int_one)
| ~ int_less(X1,sK5(int_one,sK3)) )
| ~ spl6_90
| ~ spl6_171 ),
inference(superposition,[],[f2267,f856]) ).
fof(f9526,plain,
( spl6_383
| ~ spl6_90
| ~ spl6_171 ),
inference(avatar_split_clause,[],[f2388,f2266,f854,f9524]) ).
fof(f9524,plain,
( spl6_383
<=> ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(int_one,X0)
| ~ int_less(sK5(int_one,sK3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_383])]) ).
fof(f2388,plain,
( ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(int_one,X0)
| ~ int_less(sK5(int_one,sK3),X1) )
| ~ spl6_90
| ~ spl6_171 ),
inference(superposition,[],[f2267,f856]) ).
fof(f9520,plain,
( spl6_382
| ~ spl6_85
| ~ spl6_169 ),
inference(avatar_split_clause,[],[f2346,f2258,f810,f9518]) ).
fof(f9518,plain,
( spl6_382
<=> ! [X0] :
( int_one = X0
| plus(int_one,sK5(int_one,X0)) = X0
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_382])]) ).
fof(f2346,plain,
( ! [X0] :
( int_one = X0
| plus(int_one,sK5(int_one,X0)) = X0
| int_less(X0,sK3) )
| ~ spl6_85
| ~ spl6_169 ),
inference(resolution,[],[f2259,f811]) ).
fof(f9514,plain,
( spl6_381
| ~ spl6_78
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f914,f854,f698,f9512]) ).
fof(f9512,plain,
( spl6_381
<=> ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK5(int_one,sK3),X0)
| ~ int_less(int_one,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_381])]) ).
fof(f914,plain,
( ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK5(int_one,sK3),X0)
| ~ int_less(int_one,X1) )
| ~ spl6_78
| ~ spl6_90 ),
inference(superposition,[],[f699,f856]) ).
fof(f9508,plain,
( spl6_380
| ~ spl6_78
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f913,f854,f698,f9506]) ).
fof(f9506,plain,
( spl6_380
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X1,int_one)
| ~ int_less(X0,sK5(int_one,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_380])]) ).
fof(f913,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X1,int_one)
| ~ int_less(X0,sK5(int_one,sK3)) )
| ~ spl6_78
| ~ spl6_90 ),
inference(superposition,[],[f699,f856]) ).
fof(f9502,plain,
( spl6_379
| ~ spl6_77
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f912,f854,f694,f9500]) ).
fof(f9500,plain,
( spl6_379
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X0,sK5(int_one,sK3))
| ~ int_less(X1,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_379])]) ).
fof(f912,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X0,sK5(int_one,sK3))
| ~ int_less(X1,int_one) )
| ~ spl6_77
| ~ spl6_90 ),
inference(superposition,[],[f695,f856]) ).
fof(f9496,plain,
( spl6_378
| ~ spl6_77
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f911,f854,f694,f9494]) ).
fof(f9494,plain,
( spl6_378
<=> ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(int_one,X1)
| ~ int_less(sK5(int_one,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_378])]) ).
fof(f911,plain,
( ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(int_one,X1)
| ~ int_less(sK5(int_one,sK3),X0) )
| ~ spl6_77
| ~ spl6_90 ),
inference(superposition,[],[f695,f856]) ).
fof(f9490,plain,
( spl6_377
| ~ spl6_28
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f905,f854,f235,f9488]) ).
fof(f9488,plain,
( spl6_377
<=> ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X1,sK5(int_one,sK3))
| ~ int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_377])]) ).
fof(f905,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK3)
| ~ int_leq(X1,sK5(int_one,sK3))
| ~ int_less(X0,int_one) )
| ~ spl6_28
| ~ spl6_90 ),
inference(superposition,[],[f236,f856]) ).
fof(f9485,plain,
( spl6_376
| ~ spl6_17
| ~ spl6_227 ),
inference(avatar_split_clause,[],[f4418,f4216,f155,f9482]) ).
fof(f9482,plain,
( spl6_376
<=> int_leq(int_one,sK5(int_one,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_376])]) ).
fof(f4418,plain,
( int_leq(int_one,sK5(int_one,sK3))
| ~ spl6_17
| ~ spl6_227 ),
inference(resolution,[],[f4217,f156]) ).
fof(f9478,plain,
( spl6_375
| ~ spl6_28
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f904,f854,f235,f9476]) ).
fof(f9476,plain,
( spl6_375
<=> ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK5(int_one,sK3),X1)
| ~ int_less(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_375])]) ).
fof(f904,plain,
( ! [X0,X1] :
( int_leq(sK3,plus(X0,X1))
| ~ int_leq(sK5(int_one,sK3),X1)
| ~ int_less(int_one,X0) )
| ~ spl6_28
| ~ spl6_90 ),
inference(superposition,[],[f236,f856]) ).
fof(f9429,plain,
( ~ spl6_374
| ~ spl6_40
| ~ spl6_13
| spl6_361
| ~ spl6_362
| ~ spl6_51
| ~ spl6_64
| ~ spl6_340 ),
inference(avatar_split_clause,[],[f8519,f8481,f532,f436,f9134,f9131,f134,f335,f9426]) ).
fof(f9131,plain,
( spl6_361
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| real_zero = a(X0,plus(X0,sK1))
| ~ int_leq(X0,sK5(sK1,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_361])]) ).
fof(f8481,plain,
( spl6_340
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_340])]) ).
fof(f8519,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,sK5(sK1,sK2))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK2,n)
| ~ int_leq(X0,sK5(sK1,sK2))
| ~ int_less(int_zero,sK1)
| real_zero = a(X0,plus(X0,sK1))
| ~ int_leq(sK5(sK1,sK2),n) )
| ~ spl6_64
| ~ spl6_340 ),
inference(superposition,[],[f8482,f534]) ).
fof(f8482,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,n) )
| ~ spl6_340 ),
inference(avatar_component_clause,[],[f8481]) ).
fof(f9412,plain,
( ~ spl6_10
| ~ spl6_242
| spl6_362 ),
inference(avatar_split_clause,[],[f9142,f9134,f4820,f117]) ).
fof(f9142,plain,
( ~ int_less(sK1,sK2)
| ~ spl6_242
| spl6_362 ),
inference(resolution,[],[f9136,f4821]) ).
fof(f9136,plain,
( ~ int_leq(sK1,sK5(sK1,sK2))
| spl6_362 ),
inference(avatar_component_clause,[],[f9134]) ).
fof(f9411,plain,
( ~ spl6_346
| ~ spl6_36
| ~ spl6_349 ),
inference(avatar_split_clause,[],[f8796,f8776,f305,f8749]) ).
fof(f8776,plain,
( spl6_349
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(n,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_349])]) ).
fof(f8796,plain,
( ~ int_leq(n,n)
| ~ spl6_36
| ~ spl6_349 ),
inference(duplicate_literal_removal,[],[f8779]) ).
fof(f8779,plain,
( ~ int_leq(n,n)
| ~ int_leq(n,n)
| ~ spl6_36
| ~ spl6_349 ),
inference(resolution,[],[f8777,f306]) ).
fof(f8777,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(n,X0)
| ~ int_leq(X0,n) )
| ~ spl6_349 ),
inference(avatar_component_clause,[],[f8776]) ).
fof(f9410,plain,
( spl6_373
| ~ spl6_20
| ~ spl6_215 ),
inference(avatar_split_clause,[],[f4404,f4068,f167,f9407]) ).
fof(f9407,plain,
( spl6_373
<=> int_leq(sK5(sK1,sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_373])]) ).
fof(f4068,plain,
( spl6_215
<=> int_less(sK5(sK1,sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_215])]) ).
fof(f4404,plain,
( int_leq(sK5(sK1,sK3),sK3)
| ~ spl6_20
| ~ spl6_215 ),
inference(resolution,[],[f4070,f168]) ).
fof(f4070,plain,
( int_less(sK5(sK1,sK3),sK3)
| ~ spl6_215 ),
inference(avatar_component_clause,[],[f4068]) ).
fof(f9397,plain,
( ~ spl6_10
| ~ spl6_22
| spl6_330 ),
inference(avatar_split_clause,[],[f8085,f8078,f187,f117]) ).
fof(f8085,plain,
( ~ int_less(sK1,sK2)
| ~ spl6_22
| spl6_330 ),
inference(resolution,[],[f8080,f188]) ).
fof(f8080,plain,
( ~ int_less(int_zero,sK5(sK1,sK2))
| spl6_330 ),
inference(avatar_component_clause,[],[f8078]) ).
fof(f9367,plain,
( ~ spl6_368
| spl6_372
| ~ spl6_15
| ~ spl6_345 ),
inference(avatar_split_clause,[],[f8702,f8684,f146,f9365,f9265]) ).
fof(f9365,plain,
( spl6_372
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_372])]) ).
fof(f8702,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| ~ int_leq(int_zero,int_zero)
| ~ int_less(sK3,X0) )
| ~ spl6_15
| ~ spl6_345 ),
inference(superposition,[],[f8685,f147]) ).
fof(f9354,plain,
( spl6_371
| ~ spl6_19
| ~ spl6_344 ),
inference(avatar_split_clause,[],[f9341,f8634,f163,f9352]) ).
fof(f9352,plain,
( spl6_371
<=> ! [X0] :
( ~ int_leq(X0,sK2)
| int_less(X0,sK3)
| int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_371])]) ).
fof(f9341,plain,
( ! [X0] :
( ~ int_leq(X0,sK2)
| int_less(X0,sK3)
| int_less(X0,sK1) )
| ~ spl6_19
| ~ spl6_344 ),
inference(resolution,[],[f8635,f164]) ).
fof(f9316,plain,
( spl6_306
| spl6_4
| ~ spl6_12
| ~ spl6_80
| ~ spl6_305 ),
inference(avatar_split_clause,[],[f8637,f7201,f750,f129,f89,f7353]) ).
fof(f7201,plain,
( spl6_305
<=> ! [X4,X1] :
( ~ int_leq(X1,sK2)
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X4)
| real_one = a(X4,X4)
| ~ int_leq(X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_305])]) ).
fof(f8637,plain,
( ! [X0] :
( real_zero = real_one
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK3,X0) )
| ~ spl6_12
| ~ spl6_80
| ~ spl6_305 ),
inference(forward_demodulation,[],[f7205,f130]) ).
fof(f7205,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(sK3,sK3)
| ~ int_leq(sK3,X0) )
| ~ spl6_80
| ~ spl6_305 ),
inference(resolution,[],[f7202,f752]) ).
fof(f7202,plain,
( ! [X1,X4] :
( ~ int_leq(sK1,X4)
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| real_one = a(X4,X4)
| ~ int_leq(X4,X1) )
| ~ spl6_305 ),
inference(avatar_component_clause,[],[f7201]) ).
fof(f9313,plain,
( spl6_370
| ~ spl6_55
| ~ spl6_234 ),
inference(avatar_split_clause,[],[f9308,f4298,f469,f9310]) ).
fof(f9310,plain,
( spl6_370
<=> int_leq(int_zero,sK5(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_370])]) ).
fof(f4298,plain,
( spl6_234
<=> int_leq(int_zero,sK5(int_one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_234])]) ).
fof(f9308,plain,
( int_leq(int_zero,sK5(sK1,sK1))
| ~ spl6_55
| ~ spl6_234 ),
inference(forward_demodulation,[],[f4299,f471]) ).
fof(f4299,plain,
( int_leq(int_zero,sK5(int_one,sK1))
| ~ spl6_234 ),
inference(avatar_component_clause,[],[f4298]) ).
fof(f9307,plain,
( spl6_234
| ~ spl6_20
| ~ spl6_230 ),
inference(avatar_split_clause,[],[f4273,f4232,f167,f4298]) ).
fof(f4273,plain,
( int_leq(int_zero,sK5(int_one,sK1))
| ~ spl6_20
| ~ spl6_230 ),
inference(resolution,[],[f4233,f168]) ).
fof(f9275,plain,
( ~ spl6_7
| spl6_368 ),
inference(avatar_contradiction_clause,[],[f9273]) ).
fof(f9273,plain,
( $false
| ~ spl6_7
| spl6_368 ),
inference(resolution,[],[f9267,f104]) ).
fof(f9267,plain,
( ~ int_leq(int_zero,int_zero)
| spl6_368 ),
inference(avatar_component_clause,[],[f9265]) ).
fof(f9271,plain,
( ~ spl6_368
| spl6_369
| ~ spl6_15
| ~ spl6_319 ),
inference(avatar_split_clause,[],[f7772,f7761,f146,f9269,f9265]) ).
fof(f9269,plain,
( spl6_369
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_less(sK3,X0)
| ~ int_leq(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_369])]) ).
fof(f7772,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(int_zero,int_zero)
| ~ int_less(sK3,X0) )
| ~ spl6_15
| ~ spl6_319 ),
inference(superposition,[],[f7762,f147]) ).
fof(f9232,plain,
( spl6_367
| ~ spl6_44
| ~ spl6_55
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f8372,f625,f469,f377,f9230]) ).
fof(f9230,plain,
( spl6_367
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_367])]) ).
fof(f8372,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_44
| ~ spl6_55
| ~ spl6_74 ),
inference(forward_demodulation,[],[f8371,f471]) ).
fof(f8371,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_44
| ~ spl6_55
| ~ spl6_74 ),
inference(forward_demodulation,[],[f7323,f471]) ).
fof(f7323,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_44
| ~ spl6_55
| ~ spl6_74 ),
inference(forward_demodulation,[],[f7290,f471]) ).
fof(f9159,plain,
( spl6_366
| ~ spl6_21
| ~ spl6_343 ),
inference(avatar_split_clause,[],[f8607,f8566,f179,f9157]) ).
fof(f9157,plain,
( spl6_366
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| int_less(n,plus(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_366])]) ).
fof(f8566,plain,
( spl6_343
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| int_less(n,plus(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_343])]) ).
fof(f8607,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| int_less(n,plus(X1,X0)) )
| ~ spl6_21
| ~ spl6_343 ),
inference(superposition,[],[f8567,f180]) ).
fof(f8567,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| int_less(n,plus(X1,X2)) )
| ~ spl6_343 ),
inference(avatar_component_clause,[],[f8566]) ).
fof(f9155,plain,
( spl6_365
| ~ spl6_21
| ~ spl6_342 ),
inference(avatar_split_clause,[],[f8578,f8562,f179,f9153]) ).
fof(f9153,plain,
( spl6_365
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X1)
| ~ int_less(int_zero,X0)
| ~ int_leq(X1,n)
| a(plus(X2,X0),X2) = qr(plus(X2,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_365])]) ).
fof(f8562,plain,
( spl6_342
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_342])]) ).
fof(f8578,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X1)
| ~ int_less(int_zero,X0)
| ~ int_leq(X1,n)
| a(plus(X2,X0),X2) = qr(plus(X2,X0),X2) )
| ~ spl6_21
| ~ spl6_342 ),
inference(superposition,[],[f8563,f180]) ).
fof(f8563,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) )
| ~ spl6_342 ),
inference(avatar_component_clause,[],[f8562]) ).
fof(f9149,plain,
( spl6_364
| ~ spl6_17
| ~ spl6_230 ),
inference(avatar_split_clause,[],[f4263,f4232,f155,f9146]) ).
fof(f4263,plain,
( int_leq(int_one,sK5(int_one,sK1))
| ~ spl6_17
| ~ spl6_230 ),
inference(resolution,[],[f4233,f156]) ).
fof(f9141,plain,
( ~ spl6_40
| ~ spl6_325
| spl6_361
| ~ spl6_362
| ~ spl6_363
| ~ spl6_51
| ~ spl6_64
| ~ spl6_313 ),
inference(avatar_split_clause,[],[f7605,f7544,f532,f436,f9138,f9134,f9131,f7892,f335]) ).
fof(f7544,plain,
( spl6_313
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_313])]) ).
fof(f7605,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK5(sK1,sK2),sK2)
| ~ int_leq(sK1,sK5(sK1,sK2))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK2,sK2)
| ~ int_leq(X0,sK5(sK1,sK2))
| ~ int_less(int_zero,sK1)
| real_zero = a(X0,plus(X0,sK1)) )
| ~ spl6_64
| ~ spl6_313 ),
inference(superposition,[],[f7545,f534]) ).
fof(f7545,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1)) )
| ~ spl6_313 ),
inference(avatar_component_clause,[],[f7544]) ).
fof(f9098,plain,
( spl6_360
| ~ spl6_43
| ~ spl6_55
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f8394,f625,f469,f367,f9096]) ).
fof(f9096,plain,
( spl6_360
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X1,n)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_360])]) ).
fof(f8394,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X1,n)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_74 ),
inference(forward_demodulation,[],[f7259,f471]) ).
fof(f7259,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_74 ),
inference(forward_demodulation,[],[f7258,f471]) ).
fof(f7258,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_74 ),
inference(forward_demodulation,[],[f7225,f471]) ).
fof(f9025,plain,
( spl6_359
| ~ spl6_21
| ~ spl6_341 ),
inference(avatar_split_clause,[],[f8535,f8485,f179,f9023]) ).
fof(f9023,plain,
( spl6_359
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,n)
| int_less(n,plus(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_359])]) ).
fof(f8535,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,n)
| int_less(n,plus(X1,X0)) )
| ~ spl6_21
| ~ spl6_341 ),
inference(superposition,[],[f8486,f180]) ).
fof(f9021,plain,
( spl6_358
| ~ spl6_21
| ~ spl6_340 ),
inference(avatar_split_clause,[],[f8506,f8481,f179,f9019]) ).
fof(f9019,plain,
( spl6_358
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X1)
| ~ int_less(int_zero,X0)
| real_zero = a(X2,plus(X2,X0))
| ~ int_leq(X1,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_358])]) ).
fof(f8506,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X1)
| ~ int_less(int_zero,X0)
| real_zero = a(X2,plus(X2,X0))
| ~ int_leq(X1,n) )
| ~ spl6_21
| ~ spl6_340 ),
inference(superposition,[],[f8482,f180]) ).
fof(f8974,plain,
( spl6_357
| ~ spl6_73
| ~ spl6_337 ),
inference(avatar_split_clause,[],[f8423,f8408,f621,f8972]) ).
fof(f8423,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) )
| ~ spl6_73
| ~ spl6_337 ),
inference(resolution,[],[f8409,f622]) ).
fof(f8914,plain,
( spl6_356
| ~ spl6_73
| ~ spl6_339 ),
inference(avatar_split_clause,[],[f8477,f8462,f621,f8912]) ).
fof(f8477,plain,
( ! [X2,X0,X1] :
( int_less(X0,sK1)
| ~ int_leq(plus(X1,X2),n)
| real_one = a(X0,X0)
| ~ int_leq(X0,plus(X1,X2))
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) )
| ~ spl6_73
| ~ spl6_339 ),
inference(resolution,[],[f8463,f622]) ).
fof(f8910,plain,
( spl6_355
| ~ spl6_73
| ~ spl6_309 ),
inference(avatar_split_clause,[],[f7518,f7504,f621,f8908]) ).
fof(f7504,plain,
( spl6_309
<=> ! [X0,X1] :
( int_less(X1,sK1)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_309])]) ).
fof(f7518,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| int_less(X2,sK1)
| real_one = a(X2,X2)
| ~ int_leq(X2,plus(X0,X1))
| ~ int_leq(int_zero,X1)
| ~ int_less(sK1,X0) )
| ~ spl6_73
| ~ spl6_309 ),
inference(resolution,[],[f7505,f622]) ).
fof(f7505,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0) )
| ~ spl6_309 ),
inference(avatar_component_clause,[],[f7504]) ).
fof(f8868,plain,
( spl6_354
| ~ spl6_67
| ~ spl6_337 ),
inference(avatar_split_clause,[],[f8418,f8408,f555,f8866]) ).
fof(f8418,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(plus(sK1,X1),plus(sK1,X1))
| ~ int_leq(plus(sK1,X1),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_67
| ~ spl6_337 ),
inference(resolution,[],[f8409,f556]) ).
fof(f8843,plain,
( spl6_353
| ~ spl6_67
| ~ spl6_309 ),
inference(avatar_split_clause,[],[f7513,f7504,f555,f8841]) ).
fof(f8841,plain,
( spl6_353
<=> ! [X0,X1] :
( ~ int_leq(plus(sK1,X0),sK2)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(sK1,X0))
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_353])]) ).
fof(f7513,plain,
( ! [X0,X1] :
( ~ int_leq(plus(sK1,X0),sK2)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,plus(sK1,X0))
| ~ int_less(int_zero,X0) )
| ~ spl6_67
| ~ spl6_309 ),
inference(resolution,[],[f7505,f556]) ).
fof(f8828,plain,
( spl6_352
| ~ spl6_19
| ~ spl6_339 ),
inference(avatar_split_clause,[],[f8470,f8462,f163,f8826]) ).
fof(f8470,plain,
( ! [X0,X1] :
( int_less(X0,sK1)
| ~ int_leq(X1,n)
| real_one = a(X0,X0)
| ~ int_leq(X0,X1)
| int_less(X1,sK1) )
| ~ spl6_19
| ~ spl6_339 ),
inference(resolution,[],[f8463,f164]) ).
fof(f8824,plain,
( spl6_351
| ~ spl6_55
| ~ spl6_250 ),
inference(avatar_split_clause,[],[f5396,f5392,f469,f8821]) ).
fof(f8821,plain,
( spl6_351
<=> int_leq(sK3,sK5(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_351])]) ).
fof(f5392,plain,
( spl6_250
<=> int_leq(sK3,sK5(int_one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_250])]) ).
fof(f5396,plain,
( int_leq(sK3,sK5(sK1,sK1))
| ~ spl6_55
| ~ spl6_250 ),
inference(forward_demodulation,[],[f5394,f471]) ).
fof(f5394,plain,
( int_leq(sK3,sK5(int_one,sK1))
| ~ spl6_250 ),
inference(avatar_component_clause,[],[f5392]) ).
fof(f8800,plain,
( spl6_348
| spl6_350
| ~ spl6_36
| ~ spl6_305 ),
inference(avatar_split_clause,[],[f8492,f7201,f305,f8798,f8772]) ).
fof(f8492,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(n,n)
| ~ int_leq(n,X0) )
| ~ spl6_36
| ~ spl6_305 ),
inference(resolution,[],[f306,f7202]) ).
fof(f8778,plain,
( spl6_348
| spl6_349
| ~ spl6_36
| ~ spl6_337 ),
inference(avatar_split_clause,[],[f8490,f8408,f305,f8776,f8772]) ).
fof(f8490,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(n,n)
| ~ int_leq(n,X0) )
| ~ spl6_36
| ~ spl6_337 ),
inference(resolution,[],[f306,f8409]) ).
fof(f8758,plain,
( ~ spl6_7
| spl6_346 ),
inference(avatar_contradiction_clause,[],[f8756]) ).
fof(f8756,plain,
( $false
| ~ spl6_7
| spl6_346 ),
inference(resolution,[],[f8751,f104]) ).
fof(f8751,plain,
( ~ int_leq(n,n)
| spl6_346 ),
inference(avatar_component_clause,[],[f8749]) ).
fof(f8755,plain,
( ~ spl6_346
| spl6_347
| ~ spl6_36
| ~ spl6_339 ),
inference(avatar_split_clause,[],[f8489,f8462,f305,f8753,f8749]) ).
fof(f8489,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(n,n)
| real_one = a(X0,X0)
| ~ int_leq(X0,n) )
| ~ spl6_36
| ~ spl6_339 ),
inference(resolution,[],[f306,f8463]) ).
fof(f8686,plain,
( spl6_345
| ~ spl6_73
| ~ spl6_338 ),
inference(avatar_split_clause,[],[f8442,f8430,f621,f8684]) ).
fof(f8442,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),n)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_73
| ~ spl6_338 ),
inference(resolution,[],[f8431,f622]) ).
fof(f8639,plain,
( ~ spl6_10
| ~ spl6_55
| spl6_103 ),
inference(avatar_split_clause,[],[f8098,f1058,f469,f117]) ).
fof(f8098,plain,
( ~ int_less(sK1,sK2)
| ~ spl6_55
| spl6_103 ),
inference(forward_demodulation,[],[f1059,f471]) ).
fof(f1059,plain,
( ~ int_less(int_one,sK2)
| spl6_103 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f8636,plain,
( spl6_344
| ~ spl6_19
| ~ spl6_306 ),
inference(avatar_split_clause,[],[f7362,f7353,f163,f8634]) ).
fof(f7362,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| int_less(X0,sK3) )
| ~ spl6_19
| ~ spl6_306 ),
inference(resolution,[],[f7354,f164]) ).
fof(f8568,plain,
( spl6_343
| ~ spl6_55
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f8344,f7618,f469,f8566]) ).
fof(f8344,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_314 ),
inference(forward_demodulation,[],[f8343,f471]) ).
fof(f8343,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_314 ),
inference(forward_demodulation,[],[f7621,f471]) ).
fof(f7621,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_314 ),
inference(forward_demodulation,[],[f7619,f471]) ).
fof(f8564,plain,
( spl6_342
| ~ spl6_55
| ~ spl6_316 ),
inference(avatar_split_clause,[],[f8342,f7632,f469,f8562]) ).
fof(f8342,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) )
| ~ spl6_55
| ~ spl6_316 ),
inference(forward_demodulation,[],[f8341,f471]) ).
fof(f8341,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) )
| ~ spl6_55
| ~ spl6_316 ),
inference(forward_demodulation,[],[f8340,f471]) ).
fof(f8340,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) )
| ~ spl6_55
| ~ spl6_316 ),
inference(forward_demodulation,[],[f7633,f471]) ).
fof(f8488,plain,
( spl6_36
| ~ spl6_20
| ~ spl6_175 ),
inference(avatar_split_clause,[],[f7148,f2293,f167,f305]) ).
fof(f7148,plain,
( int_leq(sK1,n)
| ~ spl6_20
| ~ spl6_175 ),
inference(resolution,[],[f2294,f168]) ).
fof(f8487,plain,
( spl6_341
| ~ spl6_55
| ~ spl6_310 ),
inference(avatar_split_clause,[],[f8348,f7522,f469,f8485]) ).
fof(f8348,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X1,n)
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_310 ),
inference(forward_demodulation,[],[f7526,f471]) ).
fof(f7526,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_310 ),
inference(forward_demodulation,[],[f7525,f471]) ).
fof(f7525,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_310 ),
inference(forward_demodulation,[],[f7523,f471]) ).
fof(f8483,plain,
( spl6_340
| ~ spl6_55
| ~ spl6_311 ),
inference(avatar_split_clause,[],[f8347,f7531,f469,f8481]) ).
fof(f8347,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,n) )
| ~ spl6_55
| ~ spl6_311 ),
inference(forward_demodulation,[],[f8346,f471]) ).
fof(f8346,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) )
| ~ spl6_55
| ~ spl6_311 ),
inference(forward_demodulation,[],[f8345,f471]) ).
fof(f8345,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) )
| ~ spl6_55
| ~ spl6_311 ),
inference(forward_demodulation,[],[f7532,f471]) ).
fof(f8464,plain,
( spl6_339
| ~ spl6_19
| ~ spl6_30
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f8399,f469,f249,f163,f8462]) ).
fof(f8399,plain,
( ! [X0,X1] :
( int_less(X1,sK1)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0) )
| ~ spl6_19
| ~ spl6_30
| ~ spl6_55 ),
inference(forward_demodulation,[],[f7186,f471]) ).
fof(f7186,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one) )
| ~ spl6_19
| ~ spl6_30
| ~ spl6_55 ),
inference(forward_demodulation,[],[f363,f471]) ).
fof(f8432,plain,
( spl6_338
| ~ spl6_48
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f7180,f469,f412,f8430]) ).
fof(f7180,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK3,X0)
| ~ int_leq(X0,n) )
| ~ spl6_48
| ~ spl6_55 ),
inference(forward_demodulation,[],[f413,f471]) ).
fof(f8410,plain,
( spl6_337
| ~ spl6_30
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f7198,f469,f249,f8408]) ).
fof(f7198,plain,
( ! [X1,X4] :
( ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X4)
| ~ int_leq(X1,n)
| real_one = a(X4,X4)
| ~ int_leq(X4,X1) )
| ~ spl6_30
| ~ spl6_55 ),
inference(forward_demodulation,[],[f7197,f471]) ).
fof(f7197,plain,
( ! [X1,X4] :
( ~ int_leq(sK1,X4)
| ~ int_leq(int_one,X1)
| ~ int_leq(X1,n)
| real_one = a(X4,X4)
| ~ int_leq(X4,X1) )
| ~ spl6_30
| ~ spl6_55 ),
inference(forward_demodulation,[],[f250,f471]) ).
fof(f8315,plain,
( ~ spl6_10
| ~ spl6_55
| ~ spl6_58
| spl6_240 ),
inference(avatar_split_clause,[],[f5827,f4332,f486,f469,f117]) ).
fof(f486,plain,
( spl6_58
<=> n = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_58])]) ).
fof(f5827,plain,
( ~ int_less(sK1,sK2)
| ~ spl6_55
| ~ spl6_58
| spl6_240 ),
inference(forward_demodulation,[],[f5817,f471]) ).
fof(f5817,plain,
( ~ int_less(int_one,sK2)
| ~ spl6_58
| spl6_240 ),
inference(superposition,[],[f4334,f488]) ).
fof(f488,plain,
( n = sK2
| ~ spl6_58 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f4334,plain,
( ~ int_less(int_one,n)
| spl6_240 ),
inference(avatar_component_clause,[],[f4332]) ).
fof(f8231,plain,
( spl6_336
| ~ spl6_21
| ~ spl6_317 ),
inference(avatar_split_clause,[],[f7657,f7641,f179,f8229]) ).
fof(f8229,plain,
( spl6_336
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| int_less(sK2,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_336])]) ).
fof(f7657,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| int_less(sK2,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) )
| ~ spl6_21
| ~ spl6_317 ),
inference(superposition,[],[f7642,f180]) ).
fof(f8227,plain,
( spl6_335
| ~ spl6_44
| ~ spl6_55
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f7486,f486,f469,f377,f8225]) ).
fof(f8225,plain,
( spl6_335
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,sK2)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_335])]) ).
fof(f7486,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,sK2)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) )
| ~ spl6_44
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7485,f471]) ).
fof(f7485,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,sK2)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X0,X1)) )
| ~ spl6_44
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7484,f471]) ).
fof(f7484,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,sK2)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X0,X1)) )
| ~ spl6_44
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7451,f471]) ).
fof(f7451,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,sK2)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X0,X1)) )
| ~ spl6_44
| ~ spl6_58 ),
inference(superposition,[],[f378,f488]) ).
fof(f8191,plain,
( spl6_334
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f7262,f625,f486,f469,f367,f8189]) ).
fof(f8189,plain,
( spl6_334
<=> ! [X2,X0,X1] :
( ~ int_less(X1,sK2)
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X2,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_334])]) ).
fof(f7262,plain,
( ! [X2,X0,X1] :
( ~ int_less(X1,sK2)
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X2,int_zero) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_74 ),
inference(forward_demodulation,[],[f7261,f488]) ).
fof(f7261,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_74 ),
inference(forward_demodulation,[],[f7260,f471]) ).
fof(f7260,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X1,sK2)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,X1)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,n) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_74 ),
inference(forward_demodulation,[],[f7259,f488]) ).
fof(f8106,plain,
( spl6_333
| ~ spl6_21
| ~ spl6_312 ),
inference(avatar_split_clause,[],[f7556,f7540,f179,f8104]) ).
fof(f8104,plain,
( spl6_333
<=> ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| int_less(sK2,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_333])]) ).
fof(f7556,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| int_less(sK2,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1)) )
| ~ spl6_21
| ~ spl6_312 ),
inference(superposition,[],[f7541,f180]) ).
fof(f8102,plain,
( spl6_332
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f7483,f486,f469,f367,f8100]) ).
fof(f7483,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,sK2) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7482,f471]) ).
fof(f7482,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,sK2)
| ~ int_leq(int_one,X0) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7481,f471]) ).
fof(f7481,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X2)
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(X0,sK2)
| ~ int_leq(int_one,X0) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7450,f471]) ).
fof(f7450,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X0,X1))
| ~ int_leq(X0,sK2)
| ~ int_leq(int_one,X0) )
| ~ spl6_43
| ~ spl6_58 ),
inference(superposition,[],[f368,f488]) ).
fof(f8097,plain,
( ~ spl6_103
| ~ spl6_58
| spl6_240 ),
inference(avatar_split_clause,[],[f5817,f4332,f486,f1058]) ).
fof(f8084,plain,
( ~ spl6_330
| ~ spl6_325
| spl6_331
| ~ spl6_51
| ~ spl6_315
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f7752,f532,f486,f469,f367,f7627,f436,f8082,f7892,f8078]) ).
fof(f7752,plain,
( ! [X0] :
( ~ int_leq(sK1,sK1)
| ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(sK2,sK2)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2))) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_64 ),
inference(forward_demodulation,[],[f7751,f471]) ).
fof(f7751,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(sK2,sK2)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(int_one,sK1) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_64 ),
inference(duplicate_literal_removal,[],[f7750]) ).
fof(f7750,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(sK2,sK2)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(int_one,sK1) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_64 ),
inference(forward_demodulation,[],[f7749,f488]) ).
fof(f7749,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(sK2,sK2)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(sK1,n)
| ~ int_leq(int_one,sK1) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_64 ),
inference(forward_demodulation,[],[f7748,f471]) ).
fof(f7748,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK2,sK2)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(int_one,sK2)
| ~ int_leq(sK1,n)
| ~ int_leq(int_one,sK1) )
| ~ spl6_43
| ~ spl6_55
| ~ spl6_58
| ~ spl6_64 ),
inference(forward_demodulation,[],[f7747,f471]) ).
fof(f7747,plain,
( ! [X0] :
( ~ int_leq(sK2,sK2)
| ~ int_leq(X0,sK1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,sK5(sK1,sK2))
| real_zero = a(X0,plus(X0,sK5(sK1,sK2)))
| ~ int_leq(int_one,sK2)
| ~ int_leq(sK1,n)
| ~ int_leq(int_one,sK1) )
| ~ spl6_43
| ~ spl6_58
| ~ spl6_64 ),
inference(forward_demodulation,[],[f7241,f488]) ).
fof(f8033,plain,
( spl6_329
| ~ spl6_73
| ~ spl6_305 ),
inference(avatar_split_clause,[],[f7215,f7201,f621,f8031]) ).
fof(f7215,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(plus(X1,X2),plus(X1,X2))
| ~ int_leq(plus(X1,X2),X0)
| ~ int_leq(int_zero,X2)
| ~ int_less(sK1,X1) )
| ~ spl6_73
| ~ spl6_305 ),
inference(resolution,[],[f7202,f622]) ).
fof(f7991,plain,
( spl6_328
| ~ spl6_67
| ~ spl6_305 ),
inference(avatar_split_clause,[],[f7210,f7201,f555,f7989]) ).
fof(f7989,plain,
( spl6_328
<=> ! [X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(plus(sK1,X1),plus(sK1,X1))
| ~ int_leq(plus(sK1,X1),X0)
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_328])]) ).
fof(f7210,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(plus(sK1,X1),plus(sK1,X1))
| ~ int_leq(plus(sK1,X1),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_67
| ~ spl6_305 ),
inference(resolution,[],[f7202,f556]) ).
fof(f7935,plain,
( spl6_327
| ~ spl6_19
| ~ spl6_309 ),
inference(avatar_split_clause,[],[f7511,f7504,f163,f7933]) ).
fof(f7933,plain,
( spl6_327
<=> ! [X0,X1] :
( ~ int_leq(X0,sK2)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_327])]) ).
fof(f7511,plain,
( ! [X0,X1] :
( ~ int_leq(X0,sK2)
| int_less(X1,sK1)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X0,sK1) )
| ~ spl6_19
| ~ spl6_309 ),
inference(resolution,[],[f7505,f164]) ).
fof(f7915,plain,
( spl6_326
| ~ spl6_51
| ~ spl6_7
| ~ spl6_309 ),
inference(avatar_split_clause,[],[f7510,f7504,f103,f436,f7913]) ).
fof(f7913,plain,
( spl6_326
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(X0,sK1)
| real_one = a(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_326])]) ).
fof(f7510,plain,
( ! [X0] :
( ~ int_leq(sK1,sK2)
| int_less(X0,sK1)
| real_one = a(X0,X0)
| ~ int_leq(X0,sK1) )
| ~ spl6_7
| ~ spl6_309 ),
inference(resolution,[],[f7505,f104]) ).
fof(f7910,plain,
( ~ spl6_59
| ~ spl6_242
| spl6_249 ),
inference(avatar_split_clause,[],[f5388,f5384,f4820,f490]) ).
fof(f5384,plain,
( spl6_249
<=> int_leq(sK1,sK5(sK2,n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_249])]) ).
fof(f5388,plain,
( ~ int_less(sK2,n)
| ~ spl6_242
| spl6_249 ),
inference(resolution,[],[f5386,f4821]) ).
fof(f5386,plain,
( ~ int_leq(sK1,sK5(sK2,n))
| spl6_249 ),
inference(avatar_component_clause,[],[f5384]) ).
fof(f7898,plain,
( ~ spl6_7
| spl6_325 ),
inference(avatar_contradiction_clause,[],[f7896]) ).
fof(f7896,plain,
( $false
| ~ spl6_7
| spl6_325 ),
inference(resolution,[],[f7894,f104]) ).
fof(f7894,plain,
( ~ int_leq(sK2,sK2)
| spl6_325 ),
inference(avatar_component_clause,[],[f7892]) ).
fof(f7895,plain,
( spl6_324
| ~ spl6_325
| ~ spl6_51
| ~ spl6_309 ),
inference(avatar_split_clause,[],[f7507,f7504,f436,f7892,f7889]) ).
fof(f7889,plain,
( spl6_324
<=> ! [X0] :
( int_less(X0,sK1)
| ~ int_leq(X0,sK2)
| real_one = a(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_324])]) ).
fof(f7507,plain,
( ! [X0] :
( ~ int_leq(sK2,sK2)
| int_less(X0,sK1)
| real_one = a(X0,X0)
| ~ int_leq(X0,sK2) )
| ~ spl6_51
| ~ spl6_309 ),
inference(resolution,[],[f7505,f438]) ).
fof(f438,plain,
( int_leq(sK1,sK2)
| ~ spl6_51 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f7887,plain,
( spl6_322
| spl6_323
| ~ spl6_51
| ~ spl6_305 ),
inference(avatar_split_clause,[],[f7204,f7201,f436,f7885,f7881]) ).
fof(f7881,plain,
( spl6_322
<=> real_one = a(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_322])]) ).
fof(f7885,plain,
( spl6_323
<=> ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(sK2,X0)
| ~ int_leq(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_323])]) ).
fof(f7204,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(sK2,sK2)
| ~ int_leq(sK2,X0) )
| ~ spl6_51
| ~ spl6_305 ),
inference(resolution,[],[f7202,f438]) ).
fof(f7840,plain,
( spl6_321
| ~ spl6_53
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f5798,f486,f458,f7838]) ).
fof(f7838,plain,
( spl6_321
<=> ! [X0] :
( ~ int_leq(X0,sK2)
| int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_321])]) ).
fof(f458,plain,
( spl6_53
<=> ! [X0] :
( ~ int_leq(X0,n)
| int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_53])]) ).
fof(f5798,plain,
( ! [X0] :
( ~ int_leq(X0,sK2)
| int_less(X0,int_one) )
| ~ spl6_53
| ~ spl6_58 ),
inference(superposition,[],[f459,f488]) ).
fof(f459,plain,
( ! [X0] :
( ~ int_leq(X0,n)
| int_less(X0,int_one) )
| ~ spl6_53 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f7830,plain,
( ~ spl6_6
| ~ spl6_320 ),
inference(avatar_contradiction_clause,[],[f7815]) ).
fof(f7815,plain,
( $false
| ~ spl6_6
| ~ spl6_320 ),
inference(resolution,[],[f7810,f100]) ).
fof(f7810,plain,
( int_less(sK1,sK1)
| ~ spl6_320 ),
inference(avatar_component_clause,[],[f7808]) ).
fof(f7811,plain,
( spl6_320
| ~ spl6_55
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f7382,f473,f469,f7808]) ).
fof(f473,plain,
( spl6_56
<=> int_less(int_one,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_56])]) ).
fof(f7382,plain,
( int_less(sK1,sK1)
| ~ spl6_55
| ~ spl6_56 ),
inference(superposition,[],[f475,f471]) ).
fof(f475,plain,
( int_less(int_one,sK1)
| ~ spl6_56 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f7803,plain,
( ~ spl6_7
| spl6_315 ),
inference(avatar_contradiction_clause,[],[f7801]) ).
fof(f7801,plain,
( $false
| ~ spl6_7
| spl6_315 ),
inference(resolution,[],[f7629,f104]) ).
fof(f7629,plain,
( ~ int_leq(sK1,sK1)
| spl6_315 ),
inference(avatar_component_clause,[],[f7627]) ).
fof(f7763,plain,
( spl6_319
| ~ spl6_73
| ~ spl6_306 ),
inference(avatar_split_clause,[],[f7369,f7353,f621,f7761]) ).
fof(f7369,plain,
( ! [X0,X1] :
( ~ int_leq(sK1,plus(X0,X1))
| ~ int_leq(plus(X0,X1),sK2)
| ~ int_leq(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_73
| ~ spl6_306 ),
inference(resolution,[],[f7354,f622]) ).
fof(f7719,plain,
( ~ spl6_302
| spl6_39
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f5797,f486,f325,f7115]) ).
fof(f5797,plain,
( ~ int_leq(int_one,sK2)
| spl6_39
| ~ spl6_58 ),
inference(superposition,[],[f327,f488]) ).
fof(f327,plain,
( ~ int_leq(int_one,n)
| spl6_39 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f7647,plain,
( spl6_318
| ~ spl6_55
| ~ spl6_58
| ~ spl6_316 ),
inference(avatar_split_clause,[],[f7639,f7632,f486,f469,f7645]) ).
fof(f7639,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_316 ),
inference(forward_demodulation,[],[f7638,f471]) ).
fof(f7638,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_316 ),
inference(forward_demodulation,[],[f7637,f471]) ).
fof(f7637,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_316 ),
inference(forward_demodulation,[],[f7636,f488]) ).
fof(f7636,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_316 ),
inference(forward_demodulation,[],[f7635,f471]) ).
fof(f7635,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) )
| ~ spl6_58
| ~ spl6_316 ),
inference(forward_demodulation,[],[f7633,f488]) ).
fof(f7643,plain,
( spl6_317
| ~ spl6_55
| ~ spl6_58
| ~ spl6_314 ),
inference(avatar_split_clause,[],[f7625,f7618,f486,f469,f7641]) ).
fof(f7625,plain,
( ! [X2,X0,X1] :
( int_less(sK2,plus(X1,X2))
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_314 ),
inference(forward_demodulation,[],[f7624,f488]) ).
fof(f7624,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_314 ),
inference(forward_demodulation,[],[f7623,f471]) ).
fof(f7623,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_314 ),
inference(forward_demodulation,[],[f7622,f471]) ).
fof(f7622,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X1,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_314 ),
inference(forward_demodulation,[],[f7621,f488]) ).
fof(f7634,plain,
( spl6_316
| ~ spl6_21
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f382,f377,f179,f7632]) ).
fof(f382,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0)
| a(plus(X2,X1),X2) = qr(plus(X2,X1),X2)
| ~ int_leq(int_one,plus(X1,X0)) )
| ~ spl6_21
| ~ spl6_44 ),
inference(superposition,[],[f378,f180]) ).
fof(f7630,plain,
( ~ spl6_315
| ~ spl6_55
| spl6_165 ),
inference(avatar_split_clause,[],[f5405,f2241,f469,f7627]) ).
fof(f5405,plain,
( ~ int_leq(sK1,sK1)
| ~ spl6_55
| spl6_165 ),
inference(forward_demodulation,[],[f2243,f471]) ).
fof(f2243,plain,
( ~ int_leq(sK1,int_one)
| spl6_165 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f7620,plain,
( spl6_314
| ~ spl6_19
| ~ spl6_44 ),
inference(avatar_split_clause,[],[f380,f377,f163,f7618]) ).
fof(f380,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| a(plus(X0,X2),X0) = qr(plus(X0,X2),X0)
| ~ int_leq(int_one,plus(X1,X2))
| int_less(n,plus(X1,X2)) )
| ~ spl6_19
| ~ spl6_44 ),
inference(resolution,[],[f378,f164]) ).
fof(f7546,plain,
( spl6_313
| ~ spl6_55
| ~ spl6_58
| ~ spl6_311 ),
inference(avatar_split_clause,[],[f7538,f7531,f486,f469,f7544]) ).
fof(f7538,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_311 ),
inference(forward_demodulation,[],[f7537,f471]) ).
fof(f7537,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,sK2)
| ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,X0) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_311 ),
inference(forward_demodulation,[],[f7536,f488]) ).
fof(f7536,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,plus(X1,X0))
| ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_311 ),
inference(forward_demodulation,[],[f7535,f471]) ).
fof(f7535,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X2)
| ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_311 ),
inference(forward_demodulation,[],[f7534,f471]) ).
fof(f7534,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),sK2)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) )
| ~ spl6_58
| ~ spl6_311 ),
inference(forward_demodulation,[],[f7532,f488]) ).
fof(f7542,plain,
( spl6_312
| ~ spl6_55
| ~ spl6_58
| ~ spl6_310 ),
inference(avatar_split_clause,[],[f7529,f7522,f486,f469,f7540]) ).
fof(f7529,plain,
( ! [X2,X0,X1] :
( int_less(sK2,plus(X1,X2))
| ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_310 ),
inference(forward_demodulation,[],[f7528,f488]) ).
fof(f7528,plain,
( ! [X2,X0,X1] :
( ~ int_leq(sK1,X1)
| ~ int_leq(X1,sK2)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_310 ),
inference(forward_demodulation,[],[f7527,f471]) ).
fof(f7527,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X1,sK2)
| ~ int_leq(sK1,plus(X1,X2))
| ~ int_leq(sK1,X0)
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,X1)
| int_less(n,plus(X1,X2)) )
| ~ spl6_55
| ~ spl6_58
| ~ spl6_310 ),
inference(forward_demodulation,[],[f7526,f488]) ).
fof(f7533,plain,
( spl6_311
| ~ spl6_21
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f373,f367,f179,f7531]) ).
fof(f373,plain,
( ! [X2,X0,X1] :
( ~ int_leq(plus(X1,X0),n)
| ~ int_leq(X2,X0)
| ~ int_leq(int_one,X2)
| ~ int_less(int_zero,X1)
| real_zero = a(X2,plus(X2,X1))
| ~ int_leq(int_one,plus(X1,X0))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) )
| ~ spl6_21
| ~ spl6_43 ),
inference(superposition,[],[f368,f180]) ).
fof(f7524,plain,
( spl6_310
| ~ spl6_19
| ~ spl6_43 ),
inference(avatar_split_clause,[],[f371,f367,f163,f7522]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_leq(int_one,X0)
| ~ int_less(int_zero,X2)
| real_zero = a(X0,plus(X0,X2))
| ~ int_leq(int_one,plus(X1,X2))
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| int_less(n,plus(X1,X2)) )
| ~ spl6_19
| ~ spl6_43 ),
inference(resolution,[],[f368,f164]) ).
fof(f7506,plain,
( spl6_309
| ~ spl6_19
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f7188,f486,f469,f249,f163,f7504]) ).
fof(f7188,plain,
( ! [X0,X1] :
( int_less(X1,sK1)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0) )
| ~ spl6_19
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7187,f471]) ).
fof(f7187,plain,
( ! [X0,X1] :
( ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0)
| real_one = a(X1,X1)
| ~ int_leq(X1,X0)
| int_less(X1,int_one) )
| ~ spl6_19
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7186,f488]) ).
fof(f7493,plain,
( spl6_308
| spl6_307
| ~ spl6_7
| ~ spl6_305 ),
inference(avatar_split_clause,[],[f7218,f7201,f103,f7357,f7490]) ).
fof(f7218,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(sK1,sK1) )
| ~ spl6_7
| ~ spl6_305 ),
inference(duplicate_literal_removal,[],[f7207]) ).
fof(f7207,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,sK2)
| real_one = a(sK1,sK1)
| ~ int_leq(sK1,X0) )
| ~ spl6_7
| ~ spl6_305 ),
inference(resolution,[],[f7202,f104]) ).
fof(f7359,plain,
( spl6_307
| spl6_4
| ~ spl6_7
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58
| ~ spl6_161 ),
inference(avatar_split_clause,[],[f7185,f2013,f486,f469,f249,f103,f89,f7357]) ).
fof(f7185,plain,
( ! [X0] :
( real_zero = real_one
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0) )
| ~ spl6_7
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58
| ~ spl6_161 ),
inference(forward_demodulation,[],[f7184,f2015]) ).
fof(f7184,plain,
( ! [X0] :
( real_one = a(sK1,sK1)
| ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0) )
| ~ spl6_7
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7183,f471]) ).
fof(f7183,plain,
( ! [X0] :
( ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0)
| real_one = a(int_one,int_one) )
| ~ spl6_7
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7182,f488]) ).
fof(f7182,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n)
| real_one = a(int_one,int_one) )
| ~ spl6_7
| ~ spl6_30
| ~ spl6_55 ),
inference(forward_demodulation,[],[f364,f471]) ).
fof(f364,plain,
( ! [X0] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(int_one,int_one) )
| ~ spl6_7
| ~ spl6_30 ),
inference(duplicate_literal_removal,[],[f362]) ).
fof(f7355,plain,
( spl6_306
| ~ spl6_48
| ~ spl6_55
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f7181,f486,f469,f412,f7353]) ).
fof(f7181,plain,
( ! [X0] :
( ~ int_leq(X0,sK2)
| ~ int_leq(sK1,X0)
| ~ int_leq(sK3,X0) )
| ~ spl6_48
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7180,f488]) ).
fof(f7203,plain,
( spl6_305
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f7199,f486,f469,f249,f7201]) ).
fof(f7199,plain,
( ! [X1,X4] :
( ~ int_leq(X1,sK2)
| ~ int_leq(sK1,X1)
| ~ int_leq(sK1,X4)
| real_one = a(X4,X4)
| ~ int_leq(X4,X1) )
| ~ spl6_30
| ~ spl6_55
| ~ spl6_58 ),
inference(forward_demodulation,[],[f7198,f488]) ).
fof(f7171,plain,
( spl6_39
| ~ spl6_20
| ~ spl6_240 ),
inference(avatar_split_clause,[],[f7131,f4332,f167,f325]) ).
fof(f7131,plain,
( int_leq(int_one,n)
| ~ spl6_20
| ~ spl6_240 ),
inference(resolution,[],[f4333,f168]) ).
fof(f7163,plain,
( ~ spl6_10
| ~ spl6_66
| spl6_146 ),
inference(avatar_split_clause,[],[f1640,f1633,f551,f117]) ).
fof(f551,plain,
( spl6_66
<=> ! [X0,X1] :
( ~ int_less(X0,X1)
| int_leq(int_zero,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_66])]) ).
fof(f1633,plain,
( spl6_146
<=> int_leq(int_zero,sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_146])]) ).
fof(f1640,plain,
( ~ int_less(sK1,sK2)
| ~ spl6_66
| spl6_146 ),
inference(resolution,[],[f1635,f552]) ).
fof(f552,plain,
( ! [X0,X1] :
( int_leq(int_zero,sK5(X0,X1))
| ~ int_less(X0,X1) )
| ~ spl6_66 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f1635,plain,
( ~ int_leq(int_zero,sK5(sK1,sK2))
| spl6_146 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f7146,plain,
( spl6_175
| ~ spl6_10
| ~ spl6_108 ),
inference(avatar_split_clause,[],[f1151,f1120,f117,f2293]) ).
fof(f1151,plain,
( int_less(sK1,n)
| ~ spl6_10
| ~ spl6_108 ),
inference(resolution,[],[f1121,f119]) ).
fof(f119,plain,
( int_less(sK1,sK2)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f7129,plain,
( spl6_240
| ~ spl6_103
| ~ spl6_108 ),
inference(avatar_split_clause,[],[f1149,f1120,f1058,f4332]) ).
fof(f7128,plain,
( spl6_304
| ~ spl6_102
| ~ spl6_108 ),
inference(avatar_split_clause,[],[f1147,f1120,f1053,f7125]) ).
fof(f7125,plain,
( spl6_304
<=> int_less(int_zero,n) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_304])]) ).
fof(f1147,plain,
( int_less(int_zero,n)
| ~ spl6_102
| ~ spl6_108 ),
inference(resolution,[],[f1121,f1055]) ).
fof(f7123,plain,
( spl6_303
| ~ spl6_20
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1068,f1053,f167,f7120]) ).
fof(f7120,plain,
( spl6_303
<=> int_leq(int_zero,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_303])]) ).
fof(f1068,plain,
( int_leq(int_zero,sK2)
| ~ spl6_20
| ~ spl6_102 ),
inference(resolution,[],[f1055,f168]) ).
fof(f7118,plain,
( spl6_302
| ~ spl6_17
| ~ spl6_102 ),
inference(avatar_split_clause,[],[f1064,f1053,f155,f7115]) ).
fof(f1064,plain,
( int_leq(int_one,sK2)
| ~ spl6_17
| ~ spl6_102 ),
inference(resolution,[],[f1055,f156]) ).
fof(f7094,plain,
( ~ spl6_56
| ~ spl6_115
| ~ spl6_229 ),
inference(avatar_split_clause,[],[f7043,f4227,f1233,f473]) ).
fof(f7043,plain,
( ~ int_less(int_one,sK1)
| ~ spl6_115
| ~ spl6_229 ),
inference(resolution,[],[f4228,f1234]) ).
fof(f4228,plain,
( int_leq(sK5(int_one,sK1),n)
| ~ spl6_229 ),
inference(avatar_component_clause,[],[f4227]) ).
fof(f7071,plain,
( spl6_301
| ~ spl6_100
| ~ spl6_107 ),
inference(avatar_split_clause,[],[f1144,f1116,f1027,f7068]) ).
fof(f1144,plain,
( int_less(sK2,sK1)
| ~ spl6_100
| ~ spl6_107 ),
inference(resolution,[],[f1117,f1029]) ).
fof(f7066,plain,
( spl6_300
| ~ spl6_20
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1046,f1027,f167,f7063]) ).
fof(f7063,plain,
( spl6_300
<=> int_leq(sK2,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_300])]) ).
fof(f1046,plain,
( int_leq(sK2,int_one)
| ~ spl6_20
| ~ spl6_100 ),
inference(resolution,[],[f1029,f168]) ).
fof(f7061,plain,
( spl6_299
| ~ spl6_20
| ~ spl6_99 ),
inference(avatar_split_clause,[],[f1041,f1022,f167,f7058]) ).
fof(f1041,plain,
( int_leq(n,int_one)
| ~ spl6_20
| ~ spl6_99 ),
inference(resolution,[],[f1024,f168]) ).
fof(f7056,plain,
( spl6_298
| ~ spl6_20
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1036,f1012,f167,f7053]) ).
fof(f1036,plain,
( int_leq(n,sK1)
| ~ spl6_20
| ~ spl6_97 ),
inference(resolution,[],[f1014,f168]) ).
fof(f7051,plain,
( spl6_297
| ~ spl6_61
| ~ spl6_97 ),
inference(avatar_split_clause,[],[f1032,f1012,f502,f7048]) ).
fof(f502,plain,
( spl6_61
<=> ! [X0] :
( int_less(X0,sK2)
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_61])]) ).
fof(f1032,plain,
( int_less(n,sK2)
| ~ spl6_61
| ~ spl6_97 ),
inference(resolution,[],[f1014,f503]) ).
fof(f503,plain,
( ! [X0] :
( ~ int_less(X0,sK1)
| int_less(X0,sK2) )
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f7042,plain,
( spl6_296
| ~ spl6_19
| spl6_229 ),
inference(avatar_split_clause,[],[f4236,f4227,f163,f7039]) ).
fof(f7039,plain,
( spl6_296
<=> int_less(n,sK5(int_one,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_296])]) ).
fof(f4236,plain,
( int_less(n,sK5(int_one,sK1))
| ~ spl6_19
| spl6_229 ),
inference(resolution,[],[f4229,f164]) ).
fof(f6928,plain,
( spl6_295
| ~ spl6_24
| ~ spl6_136
| ~ spl6_196 ),
inference(avatar_split_clause,[],[f3278,f3196,f1544,f195,f6926]) ).
fof(f6926,plain,
( spl6_295
<=> ! [X0] :
( sK5(X0,sK3) = sK5(int_zero,sK5(X0,sK3))
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_295])]) ).
fof(f1544,plain,
( spl6_136
<=> sK3 = sK5(int_zero,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_136])]) ).
fof(f3278,plain,
( ! [X0] :
( sK5(X0,sK3) = sK5(int_zero,sK5(X0,sK3))
| ~ int_less(X0,int_zero) )
| ~ spl6_24
| ~ spl6_136
| ~ spl6_196 ),
inference(forward_demodulation,[],[f3256,f1546]) ).
fof(f1546,plain,
( sK3 = sK5(int_zero,sK3)
| ~ spl6_136 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f3256,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(X0,sK5(int_zero,sK3)) = sK5(int_zero,sK5(X0,sK5(int_zero,sK3))) )
| ~ spl6_24
| ~ spl6_196 ),
inference(resolution,[],[f3197,f197]) ).
fof(f6924,plain,
( spl6_294
| ~ spl6_85
| ~ spl6_164 ),
inference(avatar_split_clause,[],[f2222,f2159,f810,f6922]) ).
fof(f6922,plain,
( spl6_294
<=> ! [X0] :
( sK5(int_zero,X0) = sK5(int_zero,sK5(int_zero,X0))
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_294])]) ).
fof(f2159,plain,
( spl6_164
<=> ! [X0] :
( sK5(int_zero,X0) = sK5(int_zero,sK5(int_zero,X0))
| int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_164])]) ).
fof(f2222,plain,
( ! [X0] :
( sK5(int_zero,X0) = sK5(int_zero,sK5(int_zero,X0))
| int_less(X0,sK3) )
| ~ spl6_85
| ~ spl6_164 ),
inference(resolution,[],[f2160,f811]) ).
fof(f2160,plain,
( ! [X0] :
( int_less(X0,int_one)
| sK5(int_zero,X0) = sK5(int_zero,sK5(int_zero,X0)) )
| ~ spl6_164 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f6920,plain,
( spl6_293
| ~ spl6_96
| ~ spl6_122 ),
inference(avatar_split_clause,[],[f1346,f1285,f985,f6918]) ).
fof(f6918,plain,
( spl6_293
<=> ! [X0] :
( ~ int_less(plus(X0,sK3),X0)
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_293])]) ).
fof(f1346,plain,
( ! [X0] :
( ~ int_less(plus(X0,sK3),X0)
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) )
| ~ spl6_96
| ~ spl6_122 ),
inference(superposition,[],[f1286,f986]) ).
fof(f6900,plain,
( spl6_292
| ~ spl6_96
| ~ spl6_119 ),
inference(avatar_split_clause,[],[f1319,f1263,f985,f6898]) ).
fof(f6898,plain,
( spl6_292
<=> ! [X0] :
( int_leq(sK5(X0,plus(X0,sK3)),plus(X0,sK3))
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_292])]) ).
fof(f1319,plain,
( ! [X0] :
( int_leq(sK5(X0,plus(X0,sK3)),plus(X0,sK3))
| ~ int_less(int_zero,X0) )
| ~ spl6_96
| ~ spl6_119 ),
inference(superposition,[],[f1264,f986]) ).
fof(f6881,plain,
( ~ spl6_290
| ~ spl6_291
| ~ spl6_21
| ~ spl6_96
| ~ spl6_116 ),
inference(avatar_split_clause,[],[f1253,f1237,f985,f179,f6878,f6874]) ).
fof(f1253,plain,
( ~ int_less(int_zero,sK5(int_one,plus(sK3,int_one)))
| ~ int_leq(plus(sK3,int_one),n)
| ~ spl6_21
| ~ spl6_96
| ~ spl6_116 ),
inference(forward_demodulation,[],[f1252,f180]) ).
fof(f1252,plain,
( ~ int_leq(plus(sK3,int_one),n)
| ~ int_less(int_zero,sK5(int_one,plus(int_one,sK3)))
| ~ spl6_21
| ~ spl6_96
| ~ spl6_116 ),
inference(forward_demodulation,[],[f1251,f180]) ).
fof(f1251,plain,
( ~ int_leq(plus(int_one,sK3),n)
| ~ int_less(int_zero,sK5(int_one,plus(int_one,sK3)))
| ~ spl6_96
| ~ spl6_116 ),
inference(superposition,[],[f1238,f986]) ).
fof(f6872,plain,
( spl6_289
| ~ spl6_68
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f996,f985,f559,f6870]) ).
fof(f6870,plain,
( spl6_289
<=> ! [X0] :
( int_less(sK5(X0,plus(X0,sK3)),plus(X0,sK3))
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_289])]) ).
fof(f996,plain,
( ! [X0] :
( int_less(sK5(X0,plus(X0,sK3)),plus(X0,sK3))
| ~ int_less(int_zero,X0) )
| ~ spl6_68
| ~ spl6_96 ),
inference(superposition,[],[f560,f986]) ).
fof(f6868,plain,
( spl6_288
| ~ spl6_67
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f995,f985,f555,f6866]) ).
fof(f6866,plain,
( spl6_288
<=> ! [X0] :
( int_leq(X0,plus(X0,sK3))
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_288])]) ).
fof(f995,plain,
( ! [X0] :
( int_leq(X0,plus(X0,sK3))
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) )
| ~ spl6_67
| ~ spl6_96 ),
inference(superposition,[],[f556,f986]) ).
fof(f6864,plain,
( spl6_287
| ~ spl6_23
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f992,f985,f191,f6862]) ).
fof(f6862,plain,
( spl6_287
<=> ! [X0] :
( int_less(X0,plus(X0,sK3))
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_287])]) ).
fof(f191,plain,
( spl6_23
<=> ! [X2,X0] :
( int_less(X0,plus(X0,X2))
| ~ int_less(int_zero,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_23])]) ).
fof(f992,plain,
( ! [X0] :
( int_less(X0,plus(X0,sK3))
| ~ int_less(int_zero,sK5(X0,plus(X0,sK3))) )
| ~ spl6_23
| ~ spl6_96 ),
inference(superposition,[],[f192,f986]) ).
fof(f192,plain,
( ! [X2,X0] :
( int_less(X0,plus(X0,X2))
| ~ int_less(int_zero,X2) )
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f6737,plain,
( spl6_286
| ~ spl6_86
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4125,f3829,f814,f6734]) ).
fof(f6674,plain,
( ~ spl6_255
| spl6_285
| ~ spl6_91
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f5875,f1661,f859,f6672,f6218]) ).
fof(f6672,plain,
( spl6_285
<=> ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_285])]) ).
fof(f5875,plain,
( ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(X0,sK1)
| ~ int_less(int_zero,sK5(sK1,sK3)) )
| ~ spl6_91
| ~ spl6_152 ),
inference(superposition,[],[f1662,f861]) ).
fof(f6663,plain,
( ~ spl6_283
| spl6_284
| ~ spl6_91
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f5874,f1657,f859,f6661,f6657]) ).
fof(f6657,plain,
( spl6_283
<=> int_less(sK5(sK1,sK3),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_283])]) ).
fof(f6661,plain,
( spl6_284
<=> ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_284])]) ).
fof(f5874,plain,
( ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK1,X0)
| ~ int_less(sK5(sK1,sK3),int_zero) )
| ~ spl6_91
| ~ spl6_151 ),
inference(superposition,[],[f1658,f861]) ).
fof(f6654,plain,
( ~ spl6_281
| spl6_282
| ~ spl6_91
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f5873,f1644,f859,f6652,f6648]) ).
fof(f6648,plain,
( spl6_281
<=> int_leq(sK1,int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_281])]) ).
fof(f6652,plain,
( spl6_282
<=> ! [X0] :
( int_leq(sK3,X0)
| ~ int_less(sK5(sK1,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_282])]) ).
fof(f5873,plain,
( ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK1,int_zero)
| ~ int_less(sK5(sK1,sK3),X0) )
| ~ spl6_91
| ~ spl6_148 ),
inference(superposition,[],[f1645,f861]) ).
fof(f6625,plain,
( ~ spl6_101
| spl6_280
| ~ spl6_91
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f5872,f1629,f859,f6623,f1048]) ).
fof(f6623,plain,
( spl6_280
<=> ! [X0] :
( int_leq(X0,sK3)
| ~ int_less(X0,sK5(sK1,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_280])]) ).
fof(f5872,plain,
( ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(int_zero,sK1)
| ~ int_less(X0,sK5(sK1,sK3)) )
| ~ spl6_91
| ~ spl6_145 ),
inference(superposition,[],[f1630,f861]) ).
fof(f6600,plain,
( ~ spl6_45
| ~ spl6_66
| spl6_273 ),
inference(avatar_split_clause,[],[f6555,f6548,f551,f393]) ).
fof(f6555,plain,
( ~ int_less(sK1,sK3)
| ~ spl6_66
| spl6_273 ),
inference(resolution,[],[f6550,f552]) ).
fof(f6550,plain,
( ~ int_leq(int_zero,sK5(sK1,sK3))
| spl6_273 ),
inference(avatar_component_clause,[],[f6548]) ).
fof(f6590,plain,
( ~ spl6_278
| spl6_279
| ~ spl6_91
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f5867,f1598,f859,f6588,f6584]) ).
fof(f6584,plain,
( spl6_278
<=> int_less(sK1,int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_278])]) ).
fof(f6588,plain,
( spl6_279
<=> ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK5(sK1,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_279])]) ).
fof(f5867,plain,
( ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK5(sK1,sK3),X0)
| ~ int_less(sK1,int_zero) )
| ~ spl6_91
| ~ spl6_139 ),
inference(superposition,[],[f1599,f861]) ).
fof(f6571,plain,
( ~ spl6_40
| spl6_277
| ~ spl6_91
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f5866,f1594,f859,f6569,f335]) ).
fof(f5866,plain,
( ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(X0,sK5(sK1,sK3))
| ~ int_less(int_zero,sK1) )
| ~ spl6_91
| ~ spl6_138 ),
inference(superposition,[],[f1595,f861]) ).
fof(f6566,plain,
( ~ spl6_275
| spl6_276
| ~ spl6_74
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5855,f859,f625,f6564,f6560]) ).
fof(f6560,plain,
( spl6_275
<=> int_leq(sK5(sK1,sK3),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_275])]) ).
fof(f6564,plain,
( spl6_276
<=> ! [X0] :
( int_leq(sK3,X0)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_276])]) ).
fof(f5855,plain,
( ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK5(sK1,sK3),int_zero)
| ~ int_less(sK1,X0) )
| ~ spl6_74
| ~ spl6_91 ),
inference(superposition,[],[f626,f861]) ).
fof(f6554,plain,
( ~ spl6_273
| spl6_274
| ~ spl6_73
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f5854,f859,f621,f6552,f6548]) ).
fof(f5854,plain,
( ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(int_zero,sK5(sK1,sK3))
| ~ int_less(X0,sK1) )
| ~ spl6_73
| ~ spl6_91 ),
inference(superposition,[],[f622,f861]) ).
fof(f6479,plain,
( ~ spl6_45
| ~ spl6_22
| spl6_255 ),
inference(avatar_split_clause,[],[f6226,f6218,f187,f393]) ).
fof(f6226,plain,
( ~ int_less(sK1,sK3)
| ~ spl6_22
| spl6_255 ),
inference(resolution,[],[f6220,f188]) ).
fof(f6220,plain,
( ~ int_less(int_zero,sK5(sK1,sK3))
| spl6_255 ),
inference(avatar_component_clause,[],[f6218]) ).
fof(f6424,plain,
( spl6_272
| ~ spl6_24
| ~ spl6_178 ),
inference(avatar_split_clause,[],[f2564,f2483,f195,f6422]) ).
fof(f6422,plain,
( spl6_272
<=> ! [X2,X0,X1] :
( ~ int_less(X0,X1)
| int_less(X2,plus(X1,sK3))
| ~ int_less(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_272])]) ).
fof(f2483,plain,
( spl6_178
<=> ! [X0,X3,X2,X1] :
( ~ int_less(X0,X1)
| ~ int_less(int_zero,X2)
| int_less(X3,plus(X1,X2))
| ~ int_less(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_178])]) ).
fof(f2564,plain,
( ! [X2,X0,X1] :
( ~ int_less(X0,X1)
| int_less(X2,plus(X1,sK3))
| ~ int_less(X2,X0) )
| ~ spl6_24
| ~ spl6_178 ),
inference(resolution,[],[f2484,f197]) ).
fof(f2484,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(int_zero,X2)
| ~ int_less(X0,X1)
| int_less(X3,plus(X1,X2))
| ~ int_less(X3,X0) )
| ~ spl6_178 ),
inference(avatar_component_clause,[],[f2483]) ).
fof(f6414,plain,
( ~ spl6_270
| spl6_271
| ~ spl6_38
| ~ spl6_177 ),
inference(avatar_split_clause,[],[f2540,f2477,f319,f6412,f6408]) ).
fof(f6408,plain,
( spl6_270
<=> int_less(sK3,int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_270])]) ).
fof(f6412,plain,
( spl6_271
<=> ! [X0,X1] :
( ~ int_less(X0,X1)
| int_less(int_one,sK5(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_271])]) ).
fof(f2477,plain,
( spl6_177
<=> ! [X0,X3,X2,X1] :
( ~ int_less(X0,int_zero)
| ~ int_less(X1,X2)
| int_less(X3,sK5(X1,X2))
| ~ int_less(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_177])]) ).
fof(f2540,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| int_less(int_one,sK5(X0,X1))
| ~ int_less(sK3,int_zero) )
| ~ spl6_38
| ~ spl6_177 ),
inference(resolution,[],[f2478,f321]) ).
fof(f2478,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(X3,X0)
| ~ int_less(X1,X2)
| int_less(X3,sK5(X1,X2))
| ~ int_less(X0,int_zero) )
| ~ spl6_177 ),
inference(avatar_component_clause,[],[f2477]) ).
fof(f6396,plain,
( ~ spl6_227
| spl6_269
| ~ spl6_90
| ~ spl6_152 ),
inference(avatar_split_clause,[],[f2055,f1661,f854,f6394,f4216]) ).
fof(f6394,plain,
( spl6_269
<=> ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_269])]) ).
fof(f2055,plain,
( ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(X0,int_one)
| ~ int_less(int_zero,sK5(int_one,sK3)) )
| ~ spl6_90
| ~ spl6_152 ),
inference(superposition,[],[f1662,f856]) ).
fof(f6392,plain,
( spl6_268
| ~ spl6_138
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1935,f1920,f1594,f6390]) ).
fof(f6390,plain,
( spl6_268
<=> ! [X0,X1] :
( int_less(int_zero,plus(X0,X1))
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_268])]) ).
fof(f1935,plain,
( ! [X0,X1] :
( int_less(int_zero,plus(X0,X1))
| ~ int_leq(sK3,X1)
| ~ int_less(int_zero,X0) )
| ~ spl6_138
| ~ spl6_156 ),
inference(resolution,[],[f1921,f1595]) ).
fof(f6388,plain,
( spl6_267
| ~ spl6_143
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1934,f1920,f1614,f6386]) ).
fof(f6386,plain,
( spl6_267
<=> ! [X0,X1] :
( int_less(int_zero,plus(X0,X1))
| ~ int_less(int_zero,X1)
| ~ int_less(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_267])]) ).
fof(f1934,plain,
( ! [X0,X1] :
( int_less(int_zero,plus(X0,X1))
| ~ int_less(int_zero,X1)
| ~ int_less(sK3,X0) )
| ~ spl6_143
| ~ spl6_156 ),
inference(resolution,[],[f1921,f1615]) ).
fof(f6384,plain,
( spl6_266
| ~ spl6_145
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1933,f1920,f1629,f6382]) ).
fof(f6382,plain,
( spl6_266
<=> ! [X0,X1] :
( int_less(int_zero,plus(X0,X1))
| ~ int_leq(int_zero,X0)
| ~ int_less(sK3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_266])]) ).
fof(f1933,plain,
( ! [X0,X1] :
( int_less(int_zero,plus(X0,X1))
| ~ int_leq(int_zero,X0)
| ~ int_less(sK3,X1) )
| ~ spl6_145
| ~ spl6_156 ),
inference(resolution,[],[f1921,f1630]) ).
fof(f6373,plain,
( ~ spl6_59
| ~ spl6_242
| spl6_249 ),
inference(avatar_split_clause,[],[f5388,f5384,f4820,f490]) ).
fof(f6372,plain,
( ~ spl6_264
| spl6_265
| ~ spl6_90
| ~ spl6_151 ),
inference(avatar_split_clause,[],[f1859,f1657,f854,f6370,f6366]) ).
fof(f6366,plain,
( spl6_264
<=> int_less(sK5(int_one,sK3),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_264])]) ).
fof(f6370,plain,
( spl6_265
<=> ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_265])]) ).
fof(f1859,plain,
( ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(int_one,X0)
| ~ int_less(sK5(int_one,sK3),int_zero) )
| ~ spl6_90
| ~ spl6_151 ),
inference(superposition,[],[f1658,f856]) ).
fof(f6362,plain,
( ~ spl6_262
| spl6_263
| ~ spl6_90
| ~ spl6_148 ),
inference(avatar_split_clause,[],[f1838,f1644,f854,f6360,f6356]) ).
fof(f6356,plain,
( spl6_262
<=> int_leq(int_one,int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_262])]) ).
fof(f6360,plain,
( spl6_263
<=> ! [X0] :
( int_leq(sK3,X0)
| ~ int_less(sK5(int_one,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_263])]) ).
fof(f1838,plain,
( ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(int_one,int_zero)
| ~ int_less(sK5(int_one,sK3),X0) )
| ~ spl6_90
| ~ spl6_148 ),
inference(superposition,[],[f1645,f856]) ).
fof(f6333,plain,
( ~ spl6_49
| spl6_261
| ~ spl6_90
| ~ spl6_145 ),
inference(avatar_split_clause,[],[f1817,f1629,f854,f6331,f426]) ).
fof(f426,plain,
( spl6_49
<=> int_leq(int_zero,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_49])]) ).
fof(f6331,plain,
( spl6_261
<=> ! [X0] :
( int_leq(X0,sK3)
| ~ int_less(X0,sK5(int_one,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_261])]) ).
fof(f1817,plain,
( ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(int_zero,int_one)
| ~ int_less(X0,sK5(int_one,sK3)) )
| ~ spl6_90
| ~ spl6_145 ),
inference(superposition,[],[f1630,f856]) ).
fof(f6321,plain,
( ~ spl6_259
| spl6_260
| ~ spl6_90
| ~ spl6_139 ),
inference(avatar_split_clause,[],[f1705,f1598,f854,f6319,f6315]) ).
fof(f6315,plain,
( spl6_259
<=> int_less(int_one,int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_259])]) ).
fof(f6319,plain,
( spl6_260
<=> ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK5(int_one,sK3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_260])]) ).
fof(f1705,plain,
( ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK5(int_one,sK3),X0)
| ~ int_less(int_one,int_zero) )
| ~ spl6_90
| ~ spl6_139 ),
inference(superposition,[],[f1599,f856]) ).
fof(f6300,plain,
( ~ spl6_5
| spl6_258
| ~ spl6_90
| ~ spl6_138 ),
inference(avatar_split_clause,[],[f1687,f1594,f854,f6298,f94]) ).
fof(f6298,plain,
( spl6_258
<=> ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(X0,sK5(int_one,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_258])]) ).
fof(f1687,plain,
( ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(X0,sK5(int_one,sK3))
| ~ int_less(int_zero,int_one) )
| ~ spl6_90
| ~ spl6_138 ),
inference(superposition,[],[f1595,f856]) ).
fof(f6262,plain,
( ~ spl6_59
| ~ spl6_22
| spl6_247 ),
inference(avatar_split_clause,[],[f5371,f5362,f187,f490]) ).
fof(f5371,plain,
( ~ int_less(sK2,n)
| ~ spl6_22
| spl6_247 ),
inference(resolution,[],[f5364,f188]) ).
fof(f5364,plain,
( ~ int_less(int_zero,sK5(sK2,n))
| spl6_247 ),
inference(avatar_component_clause,[],[f5362]) ).
fof(f6259,plain,
( ~ spl6_227
| spl6_257
| ~ spl6_93
| ~ spl6_242 ),
inference(avatar_split_clause,[],[f4832,f4820,f938,f6256,f4216]) ).
fof(f4832,plain,
( int_leq(sK1,sK5(int_one,sK3))
| ~ int_less(int_zero,sK5(int_one,sK3))
| ~ spl6_93
| ~ spl6_242 ),
inference(superposition,[],[f4821,f940]) ).
fof(f6225,plain,
( ~ spl6_255
| ~ spl6_256
| ~ spl6_94
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1242,f1233,f964,f6222,f6218]) ).
fof(f1242,plain,
( ~ int_leq(sK5(sK1,sK3),n)
| ~ int_less(int_zero,sK5(sK1,sK3))
| ~ spl6_94
| ~ spl6_115 ),
inference(superposition,[],[f1234,f966]) ).
fof(f6160,plain,
( spl6_254
| ~ spl6_45
| ~ spl6_162 ),
inference(avatar_split_clause,[],[f5783,f2151,f393,f6158]) ).
fof(f6158,plain,
( spl6_254
<=> ! [X0] :
( sK3 = X0
| int_less(sK1,X0)
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_254])]) ).
fof(f5783,plain,
( ! [X0] :
( sK3 = X0
| int_less(sK1,X0)
| int_less(X0,sK3) )
| ~ spl6_45
| ~ spl6_162 ),
inference(resolution,[],[f395,f2152]) ).
fof(f6140,plain,
( spl6_56
| ~ spl6_19
| spl6_165 ),
inference(avatar_split_clause,[],[f2481,f2241,f163,f473]) ).
fof(f2481,plain,
( int_less(int_one,sK1)
| ~ spl6_19
| spl6_165 ),
inference(resolution,[],[f2243,f164]) ).
fof(f6050,plain,
( ~ spl6_253
| ~ spl6_9
| spl6_252 ),
inference(avatar_split_clause,[],[f5846,f5841,f112,f6047]) ).
fof(f6047,plain,
( spl6_253
<=> sK2 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_253])]) ).
fof(f5846,plain,
( sK2 != sK3
| ~ spl6_9
| spl6_252 ),
inference(superposition,[],[f5843,f114]) ).
fof(f6029,plain,
( spl6_38
| ~ spl6_19
| spl6_57 ),
inference(avatar_split_clause,[],[f1966,f478,f163,f319]) ).
fof(f1966,plain,
( int_less(int_one,sK3)
| ~ spl6_19
| spl6_57 ),
inference(resolution,[],[f479,f164]) ).
fof(f479,plain,
( ~ int_leq(sK3,int_one)
| spl6_57 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f5909,plain,
( spl6_241
| ~ spl6_29
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f4533,f469,f246,f4676]) ).
fof(f4533,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) )
| ~ spl6_29
| ~ spl6_55 ),
inference(superposition,[],[f247,f471]) ).
fof(f247,plain,
( ! [X0] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n) )
| ~ spl6_29 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f5887,plain,
( ~ spl6_51
| spl6_36
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f5796,f486,f305,f436]) ).
fof(f5796,plain,
( ~ int_leq(sK1,sK2)
| spl6_36
| ~ spl6_58 ),
inference(superposition,[],[f307,f488]) ).
fof(f307,plain,
( ~ int_leq(sK1,n)
| spl6_36 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f5847,plain,
( spl6_91
| ~ spl6_27
| ~ spl6_38
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f5635,f469,f319,f226,f859]) ).
fof(f5635,plain,
( sK3 = plus(sK1,sK5(sK1,sK3))
| ~ spl6_27
| ~ spl6_38
| ~ spl6_55 ),
inference(forward_demodulation,[],[f389,f471]) ).
fof(f389,plain,
( sK3 = plus(int_one,sK5(int_one,sK3))
| ~ spl6_27
| ~ spl6_38 ),
inference(resolution,[],[f321,f227]) ).
fof(f5844,plain,
( ~ spl6_252
| spl6_32
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f5794,f486,f268,f5841]) ).
fof(f5794,plain,
( sK2 != sK4
| spl6_32
| ~ spl6_58 ),
inference(superposition,[],[f269,f488]) ).
fof(f5839,plain,
( ~ spl6_251
| spl6_14
| ~ spl6_58 ),
inference(avatar_split_clause,[],[f5793,f486,f141,f5836]) ).
fof(f5793,plain,
( ~ int_leq(sK3,sK2)
| spl6_14
| ~ spl6_58 ),
inference(superposition,[],[f142,f488]) ).
fof(f142,plain,
( ~ int_leq(sK3,n)
| spl6_14 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f5833,plain,
( ~ spl6_41
| ~ spl6_55
| spl6_57 ),
inference(avatar_split_clause,[],[f5602,f478,f469,f349]) ).
fof(f5602,plain,
( ~ int_leq(sK3,sK1)
| ~ spl6_55
| spl6_57 ),
inference(forward_demodulation,[],[f479,f471]) ).
fof(f5828,plain,
( ~ spl6_47
| spl6_31
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f4534,f469,f256,f403]) ).
fof(f256,plain,
( spl6_31
<=> int_less(sK3,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_31])]) ).
fof(f4534,plain,
( ~ int_less(sK3,sK1)
| spl6_31
| ~ spl6_55 ),
inference(superposition,[],[f257,f471]) ).
fof(f257,plain,
( ~ int_less(sK3,int_one)
| spl6_31 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f5775,plain,
( spl6_45
| ~ spl6_38
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f5634,f469,f319,f393]) ).
fof(f5634,plain,
( int_less(sK1,sK3)
| ~ spl6_38
| ~ spl6_55 ),
inference(forward_demodulation,[],[f321,f471]) ).
fof(f5774,plain,
( ~ spl6_46
| spl6_37
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f5633,f469,f315,f399]) ).
fof(f315,plain,
( spl6_37
<=> int_one = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_37])]) ).
fof(f5633,plain,
( sK1 != sK3
| spl6_37
| ~ spl6_55 ),
inference(forward_demodulation,[],[f316,f471]) ).
fof(f316,plain,
( int_one != sK3
| spl6_37 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f5632,plain,
( ~ spl6_55
| spl6_37
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f5631,f399,f315,f469]) ).
fof(f5631,plain,
( int_one != sK1
| spl6_37
| ~ spl6_46 ),
inference(forward_demodulation,[],[f316,f401]) ).
fof(f5398,plain,
( ~ spl6_13
| ~ spl6_51
| ~ spl6_241 ),
inference(avatar_split_clause,[],[f4691,f4676,f436,f134]) ).
fof(f4691,plain,
( ~ int_leq(sK2,n)
| ~ spl6_51
| ~ spl6_241 ),
inference(resolution,[],[f4677,f438]) ).
fof(f4677,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) )
| ~ spl6_241 ),
inference(avatar_component_clause,[],[f4676]) ).
fof(f5395,plain,
( ~ spl6_230
| spl6_250
| ~ spl6_131
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f2026,f1952,f1396,f5392,f4232]) ).
fof(f2026,plain,
( int_leq(sK3,sK5(int_one,sK1))
| ~ int_less(int_zero,sK5(int_one,sK1))
| ~ spl6_131
| ~ spl6_158 ),
inference(superposition,[],[f1953,f1398]) ).
fof(f5387,plain,
( ~ spl6_249
| ~ spl6_46
| spl6_248 ),
inference(avatar_split_clause,[],[f5370,f5366,f399,f5384]) ).
fof(f5370,plain,
( ~ int_leq(sK1,sK5(sK2,n))
| ~ spl6_46
| spl6_248 ),
inference(forward_demodulation,[],[f5367,f401]) ).
fof(f5369,plain,
( ~ spl6_247
| spl6_248
| ~ spl6_133
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f2025,f1952,f1406,f5366,f5362]) ).
fof(f2025,plain,
( int_leq(sK3,sK5(sK2,n))
| ~ int_less(int_zero,sK5(sK2,n))
| ~ spl6_133
| ~ spl6_158 ),
inference(superposition,[],[f1953,f1408]) ).
fof(f5359,plain,
( ~ spl6_246
| ~ spl6_55
| spl6_95 ),
inference(avatar_split_clause,[],[f4544,f969,f469,f5356]) ).
fof(f5356,plain,
( spl6_246
<=> sK5(sK3,sK1) = sK5(int_zero,sK5(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_246])]) ).
fof(f969,plain,
( spl6_95
<=> sK5(sK3,int_one) = sK5(int_zero,sK5(sK3,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_95])]) ).
fof(f4544,plain,
( sK5(sK3,sK1) != sK5(int_zero,sK5(sK3,sK1))
| ~ spl6_55
| spl6_95 ),
inference(superposition,[],[f970,f471]) ).
fof(f970,plain,
( sK5(sK3,int_one) != sK5(int_zero,sK5(sK3,int_one))
| spl6_95 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f4984,plain,
( spl6_75
| ~ spl6_108
| ~ spl6_159 ),
inference(avatar_split_clause,[],[f4628,f1956,f1120,f645]) ).
fof(f4628,plain,
( int_less(sK3,n)
| ~ spl6_108
| ~ spl6_159 ),
inference(resolution,[],[f1958,f1121]) ).
fof(f4862,plain,
( spl6_245
| ~ spl6_119
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1949,f1924,f1263,f4860]) ).
fof(f4860,plain,
( spl6_245
<=> ! [X0] :
( ~ int_leq(plus(X0,sK3),n)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_245])]) ).
fof(f1949,plain,
( ! [X0] :
( ~ int_leq(plus(X0,sK3),n)
| ~ int_less(int_zero,X0) )
| ~ spl6_119
| ~ spl6_157 ),
inference(resolution,[],[f1925,f1264]) ).
fof(f1925,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| ~ int_leq(X0,n) )
| ~ spl6_157 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f4857,plain,
( spl6_244
| ~ spl6_67
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1944,f1924,f555,f4855]) ).
fof(f4855,plain,
( spl6_244
<=> ! [X0] :
( ~ int_leq(plus(sK3,X0),n)
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_244])]) ).
fof(f1944,plain,
( ! [X0] :
( ~ int_leq(plus(sK3,X0),n)
| ~ int_less(int_zero,X0) )
| ~ spl6_67
| ~ spl6_157 ),
inference(resolution,[],[f1925,f556]) ).
fof(f4850,plain,
( spl6_91
| ~ spl6_55
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f4542,f854,f469,f859]) ).
fof(f4542,plain,
( sK3 = plus(sK1,sK5(sK1,sK3))
| ~ spl6_55
| ~ spl6_90 ),
inference(superposition,[],[f856,f471]) ).
fof(f4848,plain,
( ~ spl6_243
| ~ spl6_55
| spl6_88 ),
inference(avatar_split_clause,[],[f4541,f844,f469,f4845]) ).
fof(f4845,plain,
( spl6_243
<=> sK1 = plus(sK3,sK5(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_243])]) ).
fof(f844,plain,
( spl6_88
<=> int_one = plus(sK3,sK5(sK3,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_88])]) ).
fof(f4541,plain,
( sK1 != plus(sK3,sK5(sK3,sK1))
| ~ spl6_55
| spl6_88 ),
inference(superposition,[],[f845,f471]) ).
fof(f845,plain,
( int_one != plus(sK3,sK5(sK3,int_one))
| spl6_88 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f4822,plain,
( spl6_242
| ~ spl6_55
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f4539,f547,f469,f4820]) ).
fof(f4539,plain,
( ! [X0,X1] :
( int_leq(sK1,sK5(X0,X1))
| ~ int_less(X0,X1) )
| ~ spl6_55
| ~ spl6_65 ),
inference(superposition,[],[f548,f471]) ).
fof(f4817,plain,
( spl6_210
| ~ spl6_27
| ~ spl6_37
| ~ spl6_47
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f4722,f469,f403,f315,f226,f3774]) ).
fof(f3774,plain,
( spl6_210
<=> sK1 = plus(sK1,sK5(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_210])]) ).
fof(f4722,plain,
( sK1 = plus(sK1,sK5(sK1,sK1))
| ~ spl6_27
| ~ spl6_37
| ~ spl6_47
| ~ spl6_55 ),
inference(forward_demodulation,[],[f1909,f4706]) ).
fof(f4706,plain,
( sK1 = sK3
| ~ spl6_37
| ~ spl6_55 ),
inference(forward_demodulation,[],[f317,f471]) ).
fof(f317,plain,
( int_one = sK3
| ~ spl6_37 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f1909,plain,
( sK1 = plus(sK3,sK5(sK3,sK1))
| ~ spl6_27
| ~ spl6_47 ),
inference(resolution,[],[f405,f227]) ).
fof(f4815,plain,
( spl6_41
| ~ spl6_55
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f4585,f478,f469,f349]) ).
fof(f4585,plain,
( int_leq(sK3,sK1)
| ~ spl6_55
| ~ spl6_57 ),
inference(superposition,[],[f480,f471]) ).
fof(f480,plain,
( int_leq(sK3,int_one)
| ~ spl6_57 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f4726,plain,
( spl6_46
| ~ spl6_37
| ~ spl6_55 ),
inference(avatar_split_clause,[],[f4706,f469,f315,f399]) ).
fof(f4705,plain,
( spl6_210
| ~ spl6_37
| ~ spl6_46
| ~ spl6_112 ),
inference(avatar_split_clause,[],[f4484,f1164,f399,f315,f3774]) ).
fof(f4484,plain,
( sK1 = plus(sK1,sK5(sK1,sK1))
| ~ spl6_37
| ~ spl6_46
| ~ spl6_112 ),
inference(forward_demodulation,[],[f1897,f401]) ).
fof(f1897,plain,
( sK1 = plus(sK3,sK5(sK3,sK1))
| ~ spl6_37
| ~ spl6_112 ),
inference(superposition,[],[f1166,f317]) ).
fof(f4678,plain,
( spl6_241
| ~ spl6_46
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1995,f1924,f399,f4676]) ).
fof(f1995,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| ~ int_leq(X0,n) )
| ~ spl6_46
| ~ spl6_157 ),
inference(superposition,[],[f1925,f401]) ).
fof(f4674,plain,
( spl6_37
| spl6_31
| ~ spl6_25
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f781,f478,f209,f256,f315]) ).
fof(f781,plain,
( int_less(sK3,int_one)
| int_one = sK3
| ~ spl6_25
| ~ spl6_57 ),
inference(resolution,[],[f480,f210]) ).
fof(f4662,plain,
( ~ spl6_56
| ~ spl6_66
| spl6_234 ),
inference(avatar_split_clause,[],[f4302,f4298,f551,f473]) ).
fof(f4302,plain,
( ~ int_less(int_one,sK1)
| ~ spl6_66
| spl6_234 ),
inference(resolution,[],[f4300,f552]) ).
fof(f4300,plain,
( ~ int_leq(int_zero,sK5(int_one,sK1))
| spl6_234 ),
inference(avatar_component_clause,[],[f4298]) ).
fof(f4528,plain,
( spl6_37
| spl6_38
| ~ spl6_2
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f359,f209,f79,f319,f315]) ).
fof(f359,plain,
( int_less(int_one,sK3)
| int_one = sK3
| ~ spl6_2
| ~ spl6_25 ),
inference(resolution,[],[f81,f210]) ).
fof(f81,plain,
( int_leq(int_one,sK3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f4457,plain,
( ~ spl6_38
| ~ spl6_66
| spl6_232 ),
inference(avatar_split_clause,[],[f4453,f4253,f551,f319]) ).
fof(f4453,plain,
( ~ int_less(int_one,sK3)
| ~ spl6_66
| spl6_232 ),
inference(resolution,[],[f4255,f552]) ).
fof(f4255,plain,
( ~ int_leq(int_zero,sK5(int_one,sK3))
| spl6_232 ),
inference(avatar_component_clause,[],[f4253]) ).
fof(f4340,plain,
( ~ spl6_56
| ~ spl6_66
| spl6_234 ),
inference(avatar_split_clause,[],[f4302,f4298,f551,f473]) ).
fof(f4335,plain,
( ~ spl6_235
| ~ spl6_240
| spl6_31
| ~ spl6_90
| ~ spl6_137 ),
inference(avatar_split_clause,[],[f1584,f1549,f854,f256,f4332,f4307]) ).
fof(f4307,plain,
( spl6_235
<=> int_leq(sK5(int_one,sK3),int_zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_235])]) ).
fof(f1584,plain,
( int_less(sK3,int_one)
| ~ int_less(int_one,n)
| ~ int_leq(sK5(int_one,sK3),int_zero)
| ~ spl6_90
| ~ spl6_137 ),
inference(superposition,[],[f1550,f856]) ).
fof(f4329,plain,
( spl6_239
| ~ spl6_85
| ~ spl6_137 ),
inference(avatar_split_clause,[],[f1569,f1549,f810,f4327]) ).
fof(f4327,plain,
( spl6_239
<=> ! [X0,X1] :
( ~ int_less(X0,n)
| ~ int_leq(X1,int_zero)
| int_less(plus(X0,X1),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_239])]) ).
fof(f1569,plain,
( ! [X0,X1] :
( ~ int_less(X0,n)
| ~ int_leq(X1,int_zero)
| int_less(plus(X0,X1),sK3) )
| ~ spl6_85
| ~ spl6_137 ),
inference(resolution,[],[f1550,f811]) ).
fof(f4324,plain,
( spl6_238
| ~ spl6_21
| ~ spl6_96 ),
inference(avatar_split_clause,[],[f988,f985,f179,f4322]) ).
fof(f4322,plain,
( spl6_238
<=> ! [X0] : plus(sK3,X0) = plus(X0,sK5(X0,plus(sK3,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_238])]) ).
fof(f988,plain,
( ! [X0] : plus(sK3,X0) = plus(X0,sK5(X0,plus(sK3,X0)))
| ~ spl6_21
| ~ spl6_96 ),
inference(superposition,[],[f986,f180]) ).
fof(f4319,plain,
( ~ spl6_237
| ~ spl6_46
| spl6_235 ),
inference(avatar_split_clause,[],[f4314,f4307,f399,f4316]) ).
fof(f4314,plain,
( ~ int_leq(sK5(int_one,sK1),int_zero)
| ~ spl6_46
| spl6_235 ),
inference(forward_demodulation,[],[f4309,f401]) ).
fof(f4309,plain,
( ~ int_leq(sK5(int_one,sK3),int_zero)
| spl6_235 ),
inference(avatar_component_clause,[],[f4307]) ).
fof(f4313,plain,
( ~ spl6_235
| spl6_236
| ~ spl6_74
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f910,f854,f625,f4311,f4307]) ).
fof(f4311,plain,
( spl6_236
<=> ! [X0] :
( int_leq(sK3,X0)
| ~ int_less(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_236])]) ).
fof(f910,plain,
( ! [X0] :
( int_leq(sK3,X0)
| ~ int_leq(sK5(int_one,sK3),int_zero)
| ~ int_less(int_one,X0) )
| ~ spl6_74
| ~ spl6_90 ),
inference(superposition,[],[f626,f856]) ).
fof(f4301,plain,
( ~ spl6_234
| ~ spl6_46
| spl6_232 ),
inference(avatar_split_clause,[],[f4260,f4253,f399,f4298]) ).
fof(f4260,plain,
( ~ int_leq(int_zero,sK5(int_one,sK1))
| ~ spl6_46
| spl6_232 ),
inference(forward_demodulation,[],[f4255,f401]) ).
fof(f4261,plain,
( ~ spl6_56
| ~ spl6_22
| spl6_230 ),
inference(avatar_split_clause,[],[f4237,f4232,f187,f473]) ).
fof(f4237,plain,
( ~ int_less(int_one,sK1)
| ~ spl6_22
| spl6_230 ),
inference(resolution,[],[f4234,f188]) ).
fof(f4234,plain,
( ~ int_less(int_zero,sK5(int_one,sK1))
| spl6_230 ),
inference(avatar_component_clause,[],[f4232]) ).
fof(f4259,plain,
( ~ spl6_232
| spl6_233
| ~ spl6_73
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f909,f854,f621,f4257,f4253]) ).
fof(f4257,plain,
( spl6_233
<=> ! [X0] :
( int_leq(X0,sK3)
| ~ int_less(X0,int_one) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_233])]) ).
fof(f909,plain,
( ! [X0] :
( int_leq(X0,sK3)
| ~ int_leq(int_zero,sK5(int_one,sK3))
| ~ int_less(X0,int_one) )
| ~ spl6_73
| ~ spl6_90 ),
inference(superposition,[],[f622,f856]) ).
fof(f4250,plain,
( spl6_231
| ~ spl6_24
| ~ spl6_136
| ~ spl6_189 ),
inference(avatar_split_clause,[],[f3039,f2981,f1544,f195,f4248]) ).
fof(f4248,plain,
( spl6_231
<=> ! [X0] :
( sK3 = plus(X0,sK5(X0,sK3))
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_231])]) ).
fof(f3039,plain,
( ! [X0] :
( sK3 = plus(X0,sK5(X0,sK3))
| ~ int_less(X0,int_zero) )
| ~ spl6_24
| ~ spl6_136
| ~ spl6_189 ),
inference(forward_demodulation,[],[f3017,f1546]) ).
fof(f3017,plain,
( ! [X0] :
( ~ int_less(X0,int_zero)
| sK5(int_zero,sK3) = plus(X0,sK5(X0,sK5(int_zero,sK3))) )
| ~ spl6_24
| ~ spl6_189 ),
inference(resolution,[],[f2982,f197]) ).
fof(f4235,plain,
( ~ spl6_230
| ~ spl6_46
| spl6_227 ),
inference(avatar_split_clause,[],[f4225,f4216,f399,f4232]) ).
fof(f4225,plain,
( ~ int_less(int_zero,sK5(int_one,sK1))
| ~ spl6_46
| spl6_227 ),
inference(forward_demodulation,[],[f4218,f401]) ).
fof(f4218,plain,
( ~ int_less(int_zero,sK5(int_one,sK3))
| spl6_227 ),
inference(avatar_component_clause,[],[f4216]) ).
fof(f4230,plain,
( ~ spl6_229
| ~ spl6_46
| spl6_228 ),
inference(avatar_split_clause,[],[f4224,f4220,f399,f4227]) ).
fof(f4224,plain,
( ~ int_leq(sK5(int_one,sK1),n)
| ~ spl6_46
| spl6_228 ),
inference(forward_demodulation,[],[f4222,f401]) ).
fof(f4223,plain,
( ~ spl6_227
| ~ spl6_228
| ~ spl6_93
| ~ spl6_115 ),
inference(avatar_split_clause,[],[f1241,f1233,f938,f4220,f4216]) ).
fof(f1241,plain,
( ~ int_leq(sK5(int_one,sK3),n)
| ~ int_less(int_zero,sK5(int_one,sK3))
| ~ spl6_93
| ~ spl6_115 ),
inference(superposition,[],[f1234,f940]) ).
fof(f4212,plain,
( spl6_226
| ~ spl6_38
| ~ spl6_162 ),
inference(avatar_split_clause,[],[f2184,f2151,f319,f4210]) ).
fof(f4210,plain,
( spl6_226
<=> ! [X0] :
( sK3 = X0
| int_less(int_one,X0)
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_226])]) ).
fof(f2184,plain,
( ! [X0] :
( sK3 = X0
| int_less(int_one,X0)
| int_less(X0,sK3) )
| ~ spl6_38
| ~ spl6_162 ),
inference(resolution,[],[f2152,f321]) ).
fof(f4208,plain,
( spl6_225
| ~ spl6_61
| ~ spl6_213 ),
inference(avatar_split_clause,[],[f4126,f3829,f502,f4205]) ).
fof(f4205,plain,
( spl6_225
<=> int_less(sK5(int_one,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_225])]) ).
fof(f4126,plain,
( int_less(sK5(int_one,sK1),sK2)
| ~ spl6_61
| ~ spl6_213 ),
inference(resolution,[],[f3831,f503]) ).
fof(f4203,plain,
( ~ spl6_224
| ~ spl6_46
| spl6_95 ),
inference(avatar_split_clause,[],[f1989,f969,f399,f4200]) ).
fof(f4200,plain,
( spl6_224
<=> sK5(sK1,int_one) = sK5(int_zero,sK5(sK1,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_224])]) ).
fof(f1989,plain,
( sK5(sK1,int_one) != sK5(int_zero,sK5(sK1,int_one))
| ~ spl6_46
| spl6_95 ),
inference(superposition,[],[f970,f401]) ).
fof(f4197,plain,
( spl6_223
| ~ spl6_46
| ~ spl6_94 ),
inference(avatar_split_clause,[],[f1988,f964,f399,f4194]) ).
fof(f4194,plain,
( spl6_223
<=> sK5(sK1,sK1) = sK5(int_zero,sK5(sK1,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_223])]) ).
fof(f1988,plain,
( sK5(sK1,sK1) = sK5(int_zero,sK5(sK1,sK1))
| ~ spl6_46
| ~ spl6_94 ),
inference(superposition,[],[f966,f401]) ).
fof(f4191,plain,
( spl6_222
| ~ spl6_70
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f833,f814,f592,f4189]) ).
fof(f4189,plain,
( spl6_222
<=> ! [X0] :
( int_less(X0,sK3)
| int_less(sK1,X0)
| sK1 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_222])]) ).
fof(f833,plain,
( ! [X0] :
( int_less(X0,sK3)
| int_less(sK1,X0)
| sK1 = X0 )
| ~ spl6_70
| ~ spl6_86 ),
inference(resolution,[],[f815,f593]) ).
fof(f4186,plain,
( spl6_221
| ~ spl6_70
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f828,f810,f592,f4184]) ).
fof(f4184,plain,
( spl6_221
<=> ! [X0] :
( int_less(X0,sK3)
| int_less(int_one,X0)
| int_one = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_221])]) ).
fof(f828,plain,
( ! [X0] :
( int_less(X0,sK3)
| int_less(int_one,X0)
| int_one = X0 )
| ~ spl6_70
| ~ spl6_85 ),
inference(resolution,[],[f811,f593]) ).
fof(f4181,plain,
( spl6_220
| ~ spl6_34
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f685,f668,f281,f4178]) ).
fof(f4178,plain,
( spl6_220
<=> sK5(n,sK3) = sK5(int_zero,sK5(n,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_220])]) ).
fof(f685,plain,
( sK5(n,sK3) = sK5(int_zero,sK5(n,sK3))
| ~ spl6_34
| ~ spl6_76 ),
inference(resolution,[],[f669,f283]) ).
fof(f4175,plain,
( spl6_219
| ~ spl6_119
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1937,f1920,f1263,f4173]) ).
fof(f4173,plain,
( spl6_219
<=> ! [X0] :
( int_less(int_zero,plus(X0,sK3))
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_219])]) ).
fof(f1937,plain,
( ! [X0] :
( int_less(int_zero,plus(X0,sK3))
| ~ int_less(int_zero,X0) )
| ~ spl6_119
| ~ spl6_156 ),
inference(resolution,[],[f1921,f1264]) ).
fof(f4170,plain,
( spl6_218
| ~ spl6_67
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1932,f1920,f555,f4168]) ).
fof(f4168,plain,
( spl6_218
<=> ! [X0] :
( int_less(int_zero,plus(sK3,X0))
| ~ int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_218])]) ).
fof(f1932,plain,
( ! [X0] :
( int_less(int_zero,plus(sK3,X0))
| ~ int_less(int_zero,X0) )
| ~ spl6_67
| ~ spl6_156 ),
inference(resolution,[],[f1921,f556]) ).
fof(f4165,plain,
( spl6_217
| ~ spl6_85
| ~ spl6_117 ),
inference(avatar_split_clause,[],[f1289,f1255,f810,f4163]) ).
fof(f4163,plain,
( spl6_217
<=> ! [X0] :
( sK5(int_zero,X0) = X0
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_217])]) ).
fof(f1289,plain,
( ! [X0] :
( sK5(int_zero,X0) = X0
| int_less(X0,sK3) )
| ~ spl6_85
| ~ spl6_117 ),
inference(resolution,[],[f1256,f811]) ).
fof(f4161,plain,
( ~ spl6_210
| ~ spl6_46
| spl6_91 ),
inference(avatar_split_clause,[],[f4124,f859,f399,f3774]) ).
fof(f4124,plain,
( sK1 != plus(sK1,sK5(sK1,sK1))
| ~ spl6_46
| spl6_91 ),
inference(superposition,[],[f860,f401]) ).
fof(f860,plain,
( sK3 != plus(sK1,sK5(sK1,sK3))
| spl6_91 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f4122,plain,
( spl6_216
| ~ spl6_9
| ~ spl6_11
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f4084,f399,f123,f112,f4119]) ).
fof(f4119,plain,
( spl6_216
<=> real_zero = a(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_216])]) ).
fof(f123,plain,
( spl6_11
<=> real_zero = a(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f4084,plain,
( real_zero = a(sK1,sK3)
| ~ spl6_9
| ~ spl6_11
| ~ spl6_46 ),
inference(forward_demodulation,[],[f1969,f114]) ).
fof(f1969,plain,
( real_zero = a(sK1,sK4)
| ~ spl6_11
| ~ spl6_46 ),
inference(superposition,[],[f125,f401]) ).
fof(f125,plain,
( real_zero = a(sK3,sK4)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f4071,plain,
( ~ spl6_40
| spl6_215
| ~ spl6_68
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f921,f859,f559,f4068,f335]) ).
fof(f921,plain,
( int_less(sK5(sK1,sK3),sK3)
| ~ int_less(int_zero,sK1)
| ~ spl6_68
| ~ spl6_91 ),
inference(superposition,[],[f560,f861]) ).
fof(f3896,plain,
( spl6_214
| ~ spl6_20
| ~ spl6_212 ),
inference(avatar_split_clause,[],[f3874,f3823,f167,f3893]) ).
fof(f3893,plain,
( spl6_214
<=> int_leq(sK5(int_one,sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_214])]) ).
fof(f3823,plain,
( spl6_212
<=> int_less(sK5(int_one,sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_212])]) ).
fof(f3874,plain,
( int_leq(sK5(int_one,sK3),sK3)
| ~ spl6_20
| ~ spl6_212 ),
inference(resolution,[],[f3825,f168]) ).
fof(f3825,plain,
( int_less(sK5(int_one,sK3),sK3)
| ~ spl6_212 ),
inference(avatar_component_clause,[],[f3823]) ).
fof(f3832,plain,
( spl6_213
| ~ spl6_46
| ~ spl6_212 ),
inference(avatar_split_clause,[],[f3827,f3823,f399,f3829]) ).
fof(f3827,plain,
( int_less(sK5(int_one,sK1),sK1)
| ~ spl6_46
| ~ spl6_212 ),
inference(forward_demodulation,[],[f3825,f401]) ).
fof(f3826,plain,
( ~ spl6_5
| spl6_212
| ~ spl6_68
| ~ spl6_90 ),
inference(avatar_split_clause,[],[f907,f854,f559,f3823,f94]) ).
fof(f907,plain,
( int_less(sK5(int_one,sK3),sK3)
| ~ int_less(int_zero,int_one)
| ~ spl6_68
| ~ spl6_90 ),
inference(superposition,[],[f560,f856]) ).
fof(f3781,plain,
( spl6_211
| ~ spl6_26
| ~ spl6_114 ),
inference(avatar_split_clause,[],[f1273,f1200,f213,f3779]) ).
fof(f3779,plain,
( spl6_211
<=> ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_211])]) ).
fof(f1200,plain,
( spl6_114
<=> int_less(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_114])]) ).
fof(f1273,plain,
( ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,sK2) )
| ~ spl6_26
| ~ spl6_114 ),
inference(resolution,[],[f1202,f214]) ).
fof(f1202,plain,
( int_less(sK2,sK3)
| ~ spl6_114 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f3777,plain,
( spl6_210
| ~ spl6_46
| ~ spl6_91 ),
inference(avatar_split_clause,[],[f1986,f859,f399,f3774]) ).
fof(f1986,plain,
( sK1 = plus(sK1,sK5(sK1,sK1))
| ~ spl6_46
| ~ spl6_91 ),
inference(superposition,[],[f861,f401]) ).
fof(f3771,plain,
( spl6_209
| ~ spl6_46
| ~ spl6_88 ),
inference(avatar_split_clause,[],[f1983,f844,f399,f3768]) ).
fof(f3768,plain,
( spl6_209
<=> int_one = plus(sK1,sK5(sK1,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_209])]) ).
fof(f1983,plain,
( int_one = plus(sK1,sK5(sK1,int_one))
| ~ spl6_46
| ~ spl6_88 ),
inference(superposition,[],[f846,f401]) ).
fof(f846,plain,
( int_one = plus(sK3,sK5(sK3,int_one))
| ~ spl6_88 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f3765,plain,
( spl6_208
| ~ spl6_27
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f331,f281,f226,f3762]) ).
fof(f3762,plain,
( spl6_208
<=> sK3 = plus(n,sK5(n,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_208])]) ).
fof(f331,plain,
( sK3 = plus(n,sK5(n,sK3))
| ~ spl6_27
| ~ spl6_34 ),
inference(resolution,[],[f283,f227]) ).
fof(f3747,plain,
( ~ spl6_5
| spl6_165
| ~ spl6_46
| ~ spl6_104
| ~ spl6_158 ),
inference(avatar_split_clause,[],[f2041,f1952,f1079,f399,f2241,f94]) ).
fof(f2041,plain,
( int_leq(sK1,int_one)
| ~ int_less(int_zero,int_one)
| ~ spl6_46
| ~ spl6_104
| ~ spl6_158 ),
inference(forward_demodulation,[],[f2030,f401]) ).
fof(f2030,plain,
( int_leq(sK3,int_one)
| ~ int_less(int_zero,int_one)
| ~ spl6_104
| ~ spl6_158 ),
inference(superposition,[],[f1953,f1081]) ).
fof(f3746,plain,
( spl6_207
| ~ spl6_46
| ~ spl6_156 ),
inference(avatar_split_clause,[],[f1994,f1920,f399,f3744]) ).
fof(f1994,plain,
( ! [X0] :
( ~ int_leq(sK1,X0)
| int_less(int_zero,X0) )
| ~ spl6_46
| ~ spl6_156 ),
inference(superposition,[],[f1921,f401]) ).
fof(f3742,plain,
( spl6_206
| ~ spl6_19
| ~ spl6_157 ),
inference(avatar_split_clause,[],[f1942,f1924,f163,f3740]) ).
fof(f3740,plain,
( spl6_206
<=> ! [X0] :
( ~ int_leq(X0,n)
| int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_206])]) ).
fof(f1942,plain,
( ! [X0] :
( ~ int_leq(X0,n)
| int_less(X0,sK3) )
| ~ spl6_19
| ~ spl6_157 ),
inference(resolution,[],[f1925,f164]) ).
fof(f3720,plain,
( spl6_205
| ~ spl6_24
| ~ spl6_129 ),
inference(avatar_split_clause,[],[f1486,f1386,f195,f3718]) ).
fof(f3718,plain,
( spl6_205
<=> ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_205])]) ).
fof(f1486,plain,
( ! [X0] :
( ~ int_leq(X0,int_zero)
| int_leq(X0,sK3) )
| ~ spl6_24
| ~ spl6_129 ),
inference(resolution,[],[f1387,f197]) ).
fof(f3715,plain,
( spl6_204
| ~ spl6_85
| ~ spl6_105 ),
inference(avatar_split_clause,[],[f1092,f1089,f810,f3713]) ).
fof(f1092,plain,
( ! [X0] :
( int_less(n,X0)
| int_less(X0,sK3) )
| ~ spl6_85
| ~ spl6_105 ),
inference(resolution,[],[f1090,f811]) ).
fof(f3633,plain,
( spl6_203
| ~ spl6_76
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f759,f755,f668,f3631]) ).
fof(f759,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| sK5(plus(X0,X2),plus(X1,X3)) = sK5(int_zero,sK5(plus(X0,X2),plus(X1,X3))) )
| ~ spl6_76
| ~ spl6_81 ),
inference(resolution,[],[f756,f669]) ).
fof(f3551,plain,
( spl6_202
| ~ spl6_27
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f760,f755,f226,f3549]) ).
fof(f760,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| plus(X1,X3) = plus(plus(X0,X2),sK5(plus(X0,X2),plus(X1,X3))) )
| ~ spl6_27
| ~ spl6_81 ),
inference(resolution,[],[f756,f227]) ).
fof(f3492,plain,
( spl6_201
| ~ spl6_26
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f761,f755,f213,f3490]) ).
fof(f761,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ int_less(X0,X1)
| ~ int_leq(X2,X3)
| plus(X0,X2) = plus(X1,X3)
| int_less(X4,plus(X1,X3))
| ~ int_less(X4,plus(X0,X2)) )
| ~ spl6_26
| ~ spl6_81 ),
inference(resolution,[],[f756,f214]) ).
fof(f3457,plain,
( spl6_200
| ~ spl6_72
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f745,f732,f617,f3455]) ).
fof(f732,plain,
( spl6_79
<=> ! [X0,X1] :
( plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1)))
| ~ int_less(int_zero,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_79])]) ).
fof(f745,plain,
( ! [X2,X0,X1] :
( plus(X0,plus(X1,X2)) = plus(X0,sK5(X0,plus(X0,plus(X1,X2))))
| ~ int_less(int_zero,X1)
| ~ int_less(int_zero,X2) )
| ~ spl6_72
| ~ spl6_79 ),
inference(resolution,[],[f733,f618]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ int_less(int_zero,X1)
| plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1))) )
| ~ spl6_79 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f3294,plain,
( spl6_199
| ~ spl6_54
| ~ spl6_85 ),
inference(avatar_split_clause,[],[f827,f810,f465,f3292]) ).
fof(f3292,plain,
( spl6_199
<=> ! [X0] :
( int_less(X0,sK3)
| int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_199])]) ).
fof(f827,plain,
( ! [X0] :
( int_less(X0,sK3)
| int_less(int_zero,X0) )
| ~ spl6_54
| ~ spl6_85 ),
inference(resolution,[],[f811,f466]) ).
fof(f3290,plain,
( spl6_198
| ~ spl6_25
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f716,f698,f209,f3288]) ).
fof(f716,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_less(X2,X3)
| int_less(plus(X2,X0),plus(X1,X3))
| plus(X1,X3) = plus(X2,X0) )
| ~ spl6_25
| ~ spl6_78 ),
inference(resolution,[],[f699,f210]) ).
fof(f3286,plain,
( spl6_197
| ~ spl6_25
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f701,f694,f209,f3284]) ).
fof(f701,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_less(X2,X3)
| int_less(plus(X0,X2),plus(X3,X1))
| plus(X0,X2) = plus(X3,X1) )
| ~ spl6_25
| ~ spl6_77 ),
inference(resolution,[],[f695,f210]) ).
fof(f3198,plain,
( spl6_196
| ~ spl6_71
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f677,f668,f613,f3196]) ).
fof(f613,plain,
( spl6_71
<=> ! [X2,X0,X1] :
( int_less(X0,sK5(X1,X2))
| ~ int_less(X0,int_zero)
| ~ int_less(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_71])]) ).
fof(f677,plain,
( ! [X2,X0,X1] :
( sK5(X0,sK5(X1,X2)) = sK5(int_zero,sK5(X0,sK5(X1,X2)))
| ~ int_less(X0,int_zero)
| ~ int_less(X1,X2) )
| ~ spl6_71
| ~ spl6_76 ),
inference(resolution,[],[f669,f614]) ).
fof(f614,plain,
( ! [X2,X0,X1] :
( int_less(X0,sK5(X1,X2))
| ~ int_less(X0,int_zero)
| ~ int_less(X1,X2) )
| ~ spl6_71 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f3194,plain,
( spl6_195
| ~ spl6_72
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f676,f668,f617,f3192]) ).
fof(f676,plain,
( ! [X2,X0,X1] :
( sK5(X0,plus(X1,X2)) = sK5(int_zero,sK5(X0,plus(X1,X2)))
| ~ int_less(X0,X1)
| ~ int_less(int_zero,X2) )
| ~ spl6_72
| ~ spl6_76 ),
inference(resolution,[],[f669,f618]) ).
fof(f3115,plain,
( spl6_194
| ~ spl6_64
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f774,f755,f532,f3113]) ).
fof(f3113,plain,
( spl6_194
<=> ! [X0,X1] :
( int_less(plus(X0,X1),sK2)
| ~ int_less(X0,sK1)
| ~ int_leq(X1,sK5(sK1,sK2))
| plus(X0,X1) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_194])]) ).
fof(f774,plain,
( ! [X0,X1] :
( int_less(plus(X0,X1),sK2)
| ~ int_less(X0,sK1)
| ~ int_leq(X1,sK5(sK1,sK2))
| plus(X0,X1) = sK2 )
| ~ spl6_64
| ~ spl6_81 ),
inference(superposition,[],[f756,f534]) ).
fof(f3110,plain,
( spl6_193
| ~ spl6_64
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f768,f755,f532,f3108]) ).
fof(f3108,plain,
( spl6_193
<=> ! [X0,X1] :
( int_less(sK2,plus(X0,X1))
| ~ int_less(sK1,X0)
| ~ int_leq(sK5(sK1,sK2),X1)
| plus(X0,X1) = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_193])]) ).
fof(f768,plain,
( ! [X0,X1] :
( int_less(sK2,plus(X0,X1))
| ~ int_less(sK1,X0)
| ~ int_leq(sK5(sK1,sK2),X1)
| plus(X0,X1) = sK2 )
| ~ spl6_64
| ~ spl6_81 ),
inference(superposition,[],[f756,f534]) ).
fof(f3106,plain,
( spl6_192
| ~ spl6_22
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f739,f732,f187,f3104]) ).
fof(f739,plain,
( ! [X2,X0,X1] :
( plus(X0,sK5(X1,X2)) = plus(X0,sK5(X0,plus(X0,sK5(X1,X2))))
| ~ int_less(X1,X2) )
| ~ spl6_22
| ~ spl6_79 ),
inference(resolution,[],[f733,f188]) ).
fof(f2991,plain,
( spl6_191
| ~ spl6_70
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f740,f732,f592,f2989]) ).
fof(f2989,plain,
( spl6_191
<=> ! [X0,X1] :
( plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1)))
| int_less(X1,int_zero)
| int_zero = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_191])]) ).
fof(f740,plain,
( ! [X0,X1] :
( plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1)))
| int_less(X1,int_zero)
| int_zero = X1 )
| ~ spl6_70
| ~ spl6_79 ),
inference(resolution,[],[f733,f593]) ).
fof(f2987,plain,
( spl6_190
| ~ spl6_27
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f635,f617,f226,f2985]) ).
fof(f635,plain,
( ! [X2,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_less(int_zero,X2)
| plus(X1,X2) = plus(X0,sK5(X0,plus(X1,X2))) )
| ~ spl6_27
| ~ spl6_72 ),
inference(resolution,[],[f618,f227]) ).
fof(f2983,plain,
( spl6_189
| ~ spl6_27
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f630,f613,f226,f2981]) ).
fof(f630,plain,
( ! [X2,X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_less(X1,X2)
| sK5(X1,X2) = plus(X0,sK5(X0,sK5(X1,X2))) )
| ~ spl6_27
| ~ spl6_71 ),
inference(resolution,[],[f614,f227]) ).
fof(f2885,plain,
( spl6_188
| ~ spl6_46
| ~ spl6_125 ),
inference(avatar_split_clause,[],[f1992,f1369,f399,f2882]) ).
fof(f2882,plain,
( spl6_188
<=> int_leq(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_188])]) ).
fof(f1369,plain,
( spl6_125
<=> int_leq(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_125])]) ).
fof(f1992,plain,
( int_leq(sK2,sK1)
| ~ spl6_46
| ~ spl6_125 ),
inference(superposition,[],[f1371,f401]) ).
fof(f1371,plain,
( int_leq(sK2,sK3)
| ~ spl6_125 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f2672,plain,
( spl6_187
| ~ spl6_52
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f772,f755,f447,f2670]) ).
fof(f772,plain,
( ! [X2,X0,X1] :
( int_less(plus(X1,X2),X0)
| ~ int_less(X1,int_zero)
| ~ int_leq(X2,X0)
| plus(X1,X2) = X0 )
| ~ spl6_52
| ~ spl6_81 ),
inference(superposition,[],[f756,f448]) ).
fof(f2668,plain,
( spl6_186
| ~ spl6_52
| ~ spl6_81 ),
inference(avatar_split_clause,[],[f766,f755,f447,f2666]) ).
fof(f766,plain,
( ! [X2,X0,X1] :
( int_less(X0,plus(X1,X2))
| ~ int_less(int_zero,X1)
| ~ int_leq(X0,X2)
| plus(X1,X2) = X0 )
| ~ spl6_52
| ~ spl6_81 ),
inference(superposition,[],[f756,f448]) ).
fof(f2664,plain,
( spl6_185
| ~ spl6_22
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f682,f668,f187,f2662]) ).
fof(f682,plain,
( ! [X0,X1] :
( sK5(int_zero,sK5(X0,X1)) = sK5(int_zero,sK5(int_zero,sK5(X0,X1)))
| ~ int_less(X0,X1) )
| ~ spl6_22
| ~ spl6_76 ),
inference(resolution,[],[f669,f188]) ).
fof(f2660,plain,
( spl6_184
| ~ spl6_68
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f675,f668,f559,f2658]) ).
fof(f675,plain,
( ! [X0,X1] :
( sK5(X0,plus(X1,X0)) = sK5(int_zero,sK5(X0,plus(X1,X0)))
| ~ int_less(int_zero,X1) )
| ~ spl6_68
| ~ spl6_76 ),
inference(resolution,[],[f669,f560]) ).
fof(f2656,plain,
( spl6_183
| ~ spl6_23
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f674,f668,f191,f2654]) ).
fof(f674,plain,
( ! [X0,X1] :
( sK5(X0,plus(X0,X1)) = sK5(int_zero,sK5(X0,plus(X0,X1)))
| ~ int_less(int_zero,X1) )
| ~ spl6_23
| ~ spl6_76 ),
inference(resolution,[],[f669,f192]) ).
fof(f2647,plain,
( spl6_182
| ~ spl6_25
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f659,f625,f209,f2645]) ).
fof(f659,plain,
( ! [X2,X0,X1] :
( ~ int_leq(X0,int_zero)
| ~ int_less(X1,X2)
| int_less(plus(X1,X0),X2)
| plus(X1,X0) = X2 )
| ~ spl6_25
| ~ spl6_74 ),
inference(resolution,[],[f626,f210]) ).
fof(f2643,plain,
( spl6_181
| ~ spl6_25
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f649,f621,f209,f2641]) ).
fof(f649,plain,
( ! [X2,X0,X1] :
( ~ int_leq(int_zero,X0)
| ~ int_less(X1,X2)
| int_less(X1,plus(X2,X0))
| plus(X2,X0) = X1 )
| ~ spl6_25
| ~ spl6_73 ),
inference(resolution,[],[f622,f210]) ).
fof(f2605,plain,
( spl6_180
| ~ spl6_70
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f671,f668,f592,f2603]) ).
fof(f671,plain,
( ! [X0,X1] :
( sK5(X0,X1) = sK5(int_zero,sK5(X0,X1))
| int_less(X1,X0)
| X0 = X1 )
| ~ spl6_70
| ~ spl6_76 ),
inference(resolution,[],[f669,f593]) ).
fof(f2489,plain,
( spl6_179
| ~ spl6_54
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f735,f732,f465,f2487]) ).
fof(f735,plain,
( ! [X0,X1] :
( plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1)))
| int_less(X1,int_one) )
| ~ spl6_54
| ~ spl6_79 ),
inference(resolution,[],[f733,f466]) ).
fof(f2485,plain,
( spl6_178
| ~ spl6_26
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f636,f617,f213,f2483]) ).
fof(f636,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_less(int_zero,X2)
| int_less(X3,plus(X1,X2))
| ~ int_less(X3,X0) )
| ~ spl6_26
| ~ spl6_72 ),
inference(resolution,[],[f618,f214]) ).
fof(f2479,plain,
( spl6_177
| ~ spl6_26
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f631,f613,f213,f2477]) ).
fof(f631,plain,
( ! [X2,X3,X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_less(X1,X2)
| int_less(X3,sK5(X1,X2))
| ~ int_less(X3,X0) )
| ~ spl6_26
| ~ spl6_71 ),
inference(resolution,[],[f614,f214]) ).
fof(f2475,plain,
( spl6_176
| ~ spl6_27
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f581,f559,f226,f2473]) ).
fof(f2473,plain,
( spl6_176
<=> ! [X0,X1] :
( ~ int_less(int_zero,X0)
| plus(X0,X1) = plus(X1,sK5(X1,plus(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_176])]) ).
fof(f581,plain,
( ! [X0,X1] :
( ~ int_less(int_zero,X0)
| plus(X0,X1) = plus(X1,sK5(X1,plus(X0,X1))) )
| ~ spl6_27
| ~ spl6_68 ),
inference(resolution,[],[f560,f227]) ).
fof(f2296,plain,
( ~ spl6_175
| ~ spl6_46
| spl6_75 ),
inference(avatar_split_clause,[],[f1980,f645,f399,f2293]) ).
fof(f1980,plain,
( ~ int_less(sK1,n)
| ~ spl6_46
| spl6_75 ),
inference(superposition,[],[f646,f401]) ).
fof(f646,plain,
( ~ int_less(sK3,n)
| spl6_75 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f2280,plain,
( spl6_174
| ~ spl6_64
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f728,f698,f532,f2278]) ).
fof(f728,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK2)
| ~ int_leq(X1,sK1)
| ~ int_less(X0,sK5(sK1,sK2)) )
| ~ spl6_64
| ~ spl6_78 ),
inference(superposition,[],[f699,f534]) ).
fof(f2276,plain,
( spl6_173
| ~ spl6_64
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f722,f698,f532,f2274]) ).
fof(f722,plain,
( ! [X0,X1] :
( int_leq(sK2,plus(X0,X1))
| ~ int_leq(sK5(sK1,sK2),X0)
| ~ int_less(sK1,X1) )
| ~ spl6_64
| ~ spl6_78 ),
inference(superposition,[],[f699,f534]) ).
fof(f2272,plain,
( spl6_172
| ~ spl6_64
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f713,f694,f532,f2270]) ).
fof(f713,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK2)
| ~ int_leq(X0,sK5(sK1,sK2))
| ~ int_less(X1,sK1) )
| ~ spl6_64
| ~ spl6_77 ),
inference(superposition,[],[f695,f534]) ).
fof(f2268,plain,
( spl6_171
| ~ spl6_21
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f709,f694,f179,f2266]) ).
fof(f709,plain,
( ! [X2,X3,X0,X1] :
( int_leq(plus(X2,X3),plus(X1,X0))
| ~ int_leq(X2,X1)
| ~ int_less(X3,X0) )
| ~ spl6_21
| ~ spl6_77 ),
inference(superposition,[],[f695,f180]) ).
fof(f2264,plain,
( spl6_170
| ~ spl6_64
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f707,f694,f532,f2262]) ).
fof(f2262,plain,
( spl6_170
<=> ! [X0,X1] :
( int_leq(sK2,plus(X0,X1))
| ~ int_leq(sK1,X1)
| ~ int_less(sK5(sK1,sK2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_170])]) ).
fof(f707,plain,
( ! [X0,X1] :
( int_leq(sK2,plus(X0,X1))
| ~ int_leq(sK1,X1)
| ~ int_less(sK5(sK1,sK2),X0) )
| ~ spl6_64
| ~ spl6_77 ),
inference(superposition,[],[f695,f534]) ).
fof(f2260,plain,
( spl6_169
| ~ spl6_27
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f597,f592,f226,f2258]) ).
fof(f597,plain,
( ! [X0,X1] :
( int_less(X1,X0)
| X0 = X1
| plus(X0,sK5(X0,X1)) = X1 )
| ~ spl6_27
| ~ spl6_70 ),
inference(resolution,[],[f593,f227]) ).
fof(f2256,plain,
( spl6_168
| ~ spl6_25
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f564,f547,f209,f2254]) ).
fof(f564,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| int_less(int_one,sK5(X0,X1))
| int_one = sK5(X0,X1) )
| ~ spl6_25
| ~ spl6_65 ),
inference(resolution,[],[f548,f210]) ).
fof(f2252,plain,
( spl6_167
| ~ spl6_28
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f545,f532,f235,f2250]) ).
fof(f545,plain,
( ! [X0,X1] :
( int_leq(plus(X0,X1),sK2)
| ~ int_leq(X1,sK5(sK1,sK2))
| ~ int_less(X0,sK1) )
| ~ spl6_28
| ~ spl6_64 ),
inference(superposition,[],[f236,f534]) ).
fof(f2248,plain,
( spl6_166
| ~ spl6_28
| ~ spl6_64 ),
inference(avatar_split_clause,[],[f544,f532,f235,f2246]) ).
fof(f544,plain,
( ! [X0,X1] :
( int_leq(sK2,plus(X0,X1))
| ~ int_leq(sK5(sK1,sK2),X1)
| ~ int_less(sK1,X0) )
| ~ spl6_28
| ~ spl6_64 ),
inference(superposition,[],[f236,f534]) ).
fof(f2244,plain,
( ~ spl6_165
| ~ spl6_46
| spl6_57 ),
inference(avatar_split_clause,[],[f1979,f478,f399,f2241]) ).
fof(f1979,plain,
( ~ int_leq(sK1,int_one)
| ~ spl6_46
| spl6_57 ),
inference(superposition,[],[f479,f401]) ).
fof(f2161,plain,
( spl6_164
| ~ spl6_54
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f678,f668,f465,f2159]) ).
fof(f678,plain,
( ! [X0] :
( sK5(int_zero,X0) = sK5(int_zero,sK5(int_zero,X0))
| int_less(X0,int_one) )
| ~ spl6_54
| ~ spl6_76 ),
inference(resolution,[],[f669,f466]) ).
fof(f2157,plain,
( spl6_163
| ~ spl6_54
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f673,f668,f465,f2155]) ).
fof(f2155,plain,
( spl6_163
<=> ! [X0] :
( sK5(X0,int_one) = sK5(int_zero,sK5(X0,int_one))
| int_less(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_163])]) ).
fof(f673,plain,
( ! [X0] :
( sK5(X0,int_one) = sK5(int_zero,sK5(X0,int_one))
| int_less(int_zero,X0) )
| ~ spl6_54
| ~ spl6_76 ),
inference(resolution,[],[f669,f466]) ).
fof(f2153,plain,
( spl6_162
| ~ spl6_26
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f598,f592,f213,f2151]) ).
fof(f598,plain,
( ! [X2,X0,X1] :
( int_less(X1,X0)
| X0 = X1
| int_less(X2,X1)
| ~ int_less(X2,X0) )
| ~ spl6_26
| ~ spl6_70 ),
inference(resolution,[],[f593,f214]) ).
fof(f2016,plain,
( spl6_161
| ~ spl6_9
| ~ spl6_11
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f1997,f399,f123,f112,f2013]) ).
fof(f1997,plain,
( real_zero = a(sK1,sK1)
| ~ spl6_9
| ~ spl6_11
| ~ spl6_46 ),
inference(forward_demodulation,[],[f1996,f401]) ).
fof(f1996,plain,
( real_zero = a(sK1,sK3)
| ~ spl6_9
| ~ spl6_11
| ~ spl6_46 ),
inference(forward_demodulation,[],[f1969,f114]) ).
fof(f2005,plain,
( ~ spl6_160
| spl6_31
| ~ spl6_46 ),
inference(avatar_split_clause,[],[f1973,f399,f256,f2002]) ).
fof(f1973,plain,
( ~ int_less(sK1,int_one)
| spl6_31
| ~ spl6_46 ),
inference(superposition,[],[f257,f401]) ).
fof(f1967,plain,
( spl6_159
| ~ spl6_47
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f1906,f502,f403,f1956]) ).
fof(f1906,plain,
( int_less(sK3,sK2)
| ~ spl6_47
| ~ spl6_61 ),
inference(resolution,[],[f405,f503]) ).
fof(f1959,plain,
( spl6_159
| ~ spl6_37
| ~ spl6_103 ),
inference(avatar_split_clause,[],[f1892,f1058,f315,f1956]) ).
fof(f1892,plain,
( int_less(sK3,sK2)
| ~ spl6_37
| ~ spl6_103 ),
inference(superposition,[],[f1060,f317]) ).
fof(f1954,plain,
( spl6_158
| ~ spl6_37
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f955,f547,f315,f1952]) ).
fof(f955,plain,
( ! [X0,X1] :
( int_leq(sK3,sK5(X0,X1))
| ~ int_less(X0,X1) )
| ~ spl6_37
| ~ spl6_65 ),
inference(superposition,[],[f548,f317]) ).
fof(f1926,plain,
( spl6_157
| ~ spl6_29
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f946,f315,f246,f1924]) ).
fof(f946,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| ~ int_leq(X0,n) )
| ~ spl6_29
| ~ spl6_37 ),
inference(superposition,[],[f247,f317]) ).
fof(f1922,plain,
( spl6_156
| ~ spl6_18
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f945,f315,f159,f1920]) ).
fof(f159,plain,
( spl6_18
<=> ! [X0] :
( int_less(int_zero,X0)
| ~ int_leq(int_one,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_18])]) ).
fof(f945,plain,
( ! [X0] :
( ~ int_leq(sK3,X0)
| int_less(int_zero,X0) )
| ~ spl6_18
| ~ spl6_37 ),
inference(superposition,[],[f160,f317]) ).
fof(f160,plain,
( ! [X0] :
( ~ int_leq(int_one,X0)
| int_less(int_zero,X0) )
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f1912,plain,
( spl6_82
| ~ spl6_37
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f1876,f319,f315,f783]) ).
fof(f1876,plain,
( int_less(sK3,sK3)
| ~ spl6_37
| ~ spl6_38 ),
inference(superposition,[],[f321,f317]) ).
fof(f1868,plain,
( spl6_37
| spl6_31
| ~ spl6_25
| ~ spl6_57 ),
inference(avatar_split_clause,[],[f781,f478,f209,f256,f315]) ).
fof(f1675,plain,
( spl6_155
| ~ spl6_26
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f332,f281,f213,f1673]) ).
fof(f332,plain,
( ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,n) )
| ~ spl6_26
| ~ spl6_34 ),
inference(resolution,[],[f283,f214]) ).
fof(f1671,plain,
( spl6_154
| ~ spl6_40
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f737,f732,f335,f1669]) ).
fof(f737,plain,
( ! [X0] : plus(X0,sK1) = plus(X0,sK5(X0,plus(X0,sK1)))
| ~ spl6_40
| ~ spl6_79 ),
inference(resolution,[],[f733,f337]) ).
fof(f1667,plain,
( spl6_153
| ~ spl6_5
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f736,f732,f94,f1665]) ).
fof(f736,plain,
( ! [X0] : plus(X0,int_one) = plus(X0,sK5(X0,plus(X0,int_one)))
| ~ spl6_5
| ~ spl6_79 ),
inference(resolution,[],[f733,f96]) ).
fof(f1663,plain,
( spl6_152
| ~ spl6_52
| ~ spl6_78 ),
inference(avatar_split_clause,[],[f720,f698,f447,f1661]) ).
fof(f720,plain,
( ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(X0,X1)
| ~ int_less(int_zero,X2) )
| ~ spl6_52
| ~ spl6_78 ),
inference(superposition,[],[f699,f448]) ).
fof(f1659,plain,
( spl6_151
| ~ spl6_52
| ~ spl6_77 ),
inference(avatar_split_clause,[],[f711,f694,f447,f1657]) ).
fof(f711,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X1,X0)
| ~ int_less(X2,int_zero) )
| ~ spl6_52
| ~ spl6_77 ),
inference(superposition,[],[f695,f448]) ).
fof(f1654,plain,
( ~ spl6_149
| spl6_150
| ~ spl6_64
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f666,f625,f532,f1652,f1648]) ).
fof(f1652,plain,
( spl6_150
<=> ! [X0] :
( int_leq(sK2,X0)
| ~ int_less(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_150])]) ).
fof(f666,plain,
( ! [X0] :
( int_leq(sK2,X0)
| ~ int_leq(sK5(sK1,sK2),int_zero)
| ~ int_less(sK1,X0) )
| ~ spl6_64
| ~ spl6_74 ),
inference(superposition,[],[f626,f534]) ).
fof(f1646,plain,
( spl6_148
| ~ spl6_21
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f662,f625,f179,f1644]) ).
fof(f662,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X0),X2)
| ~ int_leq(X1,int_zero)
| ~ int_less(X0,X2) )
| ~ spl6_21
| ~ spl6_74 ),
inference(superposition,[],[f626,f180]) ).
fof(f1639,plain,
( ~ spl6_146
| spl6_147
| ~ spl6_64
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f657,f621,f532,f1637,f1633]) ).
fof(f1637,plain,
( spl6_147
<=> ! [X0] :
( int_leq(X0,sK2)
| ~ int_less(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_147])]) ).
fof(f657,plain,
( ! [X0] :
( int_leq(X0,sK2)
| ~ int_leq(int_zero,sK5(sK1,sK2))
| ~ int_less(X0,sK1) )
| ~ spl6_64
| ~ spl6_73 ),
inference(superposition,[],[f622,f534]) ).
fof(f1631,plain,
( spl6_145
| ~ spl6_21
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f653,f621,f179,f1629]) ).
fof(f653,plain,
( ! [X2,X0,X1] :
( int_leq(X2,plus(X1,X0))
| ~ int_leq(int_zero,X1)
| ~ int_less(X2,X0) )
| ~ spl6_21
| ~ spl6_73 ),
inference(superposition,[],[f622,f180]) ).
fof(f1620,plain,
( spl6_144
| ~ spl6_18
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f651,f621,f159,f1618]) ).
fof(f1618,plain,
( spl6_144
<=> ! [X0,X1] :
( ~ int_leq(int_zero,X0)
| ~ int_less(int_one,X1)
| int_less(int_zero,plus(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_144])]) ).
fof(f651,plain,
( ! [X0,X1] :
( ~ int_leq(int_zero,X0)
| ~ int_less(int_one,X1)
| int_less(int_zero,plus(X1,X0)) )
| ~ spl6_18
| ~ spl6_73 ),
inference(resolution,[],[f622,f160]) ).
fof(f1616,plain,
( spl6_143
| ~ spl6_20
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f637,f617,f167,f1614]) ).
fof(f637,plain,
( ! [X2,X0,X1] :
( ~ int_less(X0,X1)
| ~ int_less(int_zero,X2)
| int_leq(X0,plus(X1,X2)) )
| ~ spl6_20
| ~ spl6_72 ),
inference(resolution,[],[f618,f168]) ).
fof(f1612,plain,
( spl6_142
| ~ spl6_17
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f634,f617,f155,f1610]) ).
fof(f1610,plain,
( spl6_142
<=> ! [X0,X1] :
( ~ int_less(int_zero,X0)
| ~ int_less(int_zero,X1)
| int_leq(int_one,plus(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_142])]) ).
fof(f634,plain,
( ! [X0,X1] :
( ~ int_less(int_zero,X0)
| ~ int_less(int_zero,X1)
| int_leq(int_one,plus(X0,X1)) )
| ~ spl6_17
| ~ spl6_72 ),
inference(resolution,[],[f618,f156]) ).
fof(f1608,plain,
( spl6_141
| ~ spl6_20
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f632,f613,f167,f1606]) ).
fof(f1606,plain,
( spl6_141
<=> ! [X2,X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_less(X1,X2)
| int_leq(X0,sK5(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_141])]) ).
fof(f632,plain,
( ! [X2,X0,X1] :
( ~ int_less(X0,int_zero)
| ~ int_less(X1,X2)
| int_leq(X0,sK5(X1,X2)) )
| ~ spl6_20
| ~ spl6_71 ),
inference(resolution,[],[f614,f168]) ).
fof(f1604,plain,
( spl6_140
| ~ spl6_26
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f582,f559,f213,f1602]) ).
fof(f582,plain,
( ! [X2,X0,X1] :
( ~ int_less(int_zero,X0)
| int_less(X1,plus(X0,X2))
| ~ int_less(X1,X2) )
| ~ spl6_26
| ~ spl6_68 ),
inference(resolution,[],[f560,f214]) ).
fof(f1600,plain,
( spl6_139
| ~ spl6_28
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f456,f447,f235,f1598]) ).
fof(f456,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X2,X0)
| ~ int_less(X1,int_zero) )
| ~ spl6_28
| ~ spl6_52 ),
inference(superposition,[],[f236,f448]) ).
fof(f1596,plain,
( spl6_138
| ~ spl6_28
| ~ spl6_52 ),
inference(avatar_split_clause,[],[f455,f447,f235,f1594]) ).
fof(f455,plain,
( ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(X0,X2)
| ~ int_less(int_zero,X1) )
| ~ spl6_28
| ~ spl6_52 ),
inference(superposition,[],[f236,f448]) ).
fof(f1551,plain,
( spl6_137
| ~ spl6_53
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f660,f625,f458,f1549]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ int_leq(X0,int_zero)
| ~ int_less(X1,n)
| int_less(plus(X1,X0),int_one) )
| ~ spl6_53
| ~ spl6_74 ),
inference(resolution,[],[f626,f459]) ).
fof(f1547,plain,
( spl6_136
| ~ spl6_52
| ~ spl6_87 ),
inference(avatar_split_clause,[],[f863,f839,f447,f1544]) ).
fof(f839,plain,
( spl6_87
<=> sK3 = plus(int_zero,sK5(int_zero,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_87])]) ).
fof(f863,plain,
( sK3 = sK5(int_zero,sK3)
| ~ spl6_52
| ~ spl6_87 ),
inference(superposition,[],[f841,f448]) ).
fof(f841,plain,
( sK3 = plus(int_zero,sK5(int_zero,sK3))
| ~ spl6_87 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f1542,plain,
( spl6_135
| ~ spl6_29
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f650,f621,f246,f1540]) ).
fof(f650,plain,
( ! [X0,X1] :
( ~ int_leq(int_zero,X0)
| ~ int_less(int_one,X1)
| ~ int_leq(plus(X1,X0),n) )
| ~ spl6_29
| ~ spl6_73 ),
inference(resolution,[],[f622,f247]) ).
fof(f1519,plain,
( spl6_134
| ~ spl6_27
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f507,f465,f226,f1517]) ).
fof(f1517,plain,
( spl6_134
<=> ! [X0] :
( int_less(int_zero,X0)
| int_one = plus(X0,sK5(X0,int_one)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_134])]) ).
fof(f507,plain,
( ! [X0] :
( int_less(int_zero,X0)
| int_one = plus(X0,sK5(X0,int_one)) )
| ~ spl6_27
| ~ spl6_54 ),
inference(resolution,[],[f466,f227]) ).
fof(f1409,plain,
( spl6_133
| ~ spl6_59
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f688,f668,f490,f1406]) ).
fof(f688,plain,
( sK5(sK2,n) = sK5(int_zero,sK5(sK2,n))
| ~ spl6_59
| ~ spl6_76 ),
inference(resolution,[],[f669,f492]) ).
fof(f1404,plain,
( spl6_132
| ~ spl6_10
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f686,f668,f117,f1401]) ).
fof(f1401,plain,
( spl6_132
<=> sK5(sK1,sK2) = sK5(int_zero,sK5(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_132])]) ).
fof(f686,plain,
( sK5(sK1,sK2) = sK5(int_zero,sK5(sK1,sK2))
| ~ spl6_10
| ~ spl6_76 ),
inference(resolution,[],[f669,f119]) ).
fof(f1399,plain,
( spl6_131
| ~ spl6_56
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f684,f668,f473,f1396]) ).
fof(f684,plain,
( sK5(int_one,sK1) = sK5(int_zero,sK5(int_one,sK1))
| ~ spl6_56
| ~ spl6_76 ),
inference(resolution,[],[f669,f475]) ).
fof(f1393,plain,
( spl6_130
| ~ spl6_40
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f680,f668,f335,f1390]) ).
fof(f1390,plain,
( spl6_130
<=> sK5(int_zero,sK1) = sK5(int_zero,sK5(int_zero,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_130])]) ).
fof(f680,plain,
( sK5(int_zero,sK1) = sK5(int_zero,sK5(int_zero,sK1))
| ~ spl6_40
| ~ spl6_76 ),
inference(resolution,[],[f669,f337]) ).
fof(f1388,plain,
( spl6_129
| ~ spl6_52
| ~ spl6_74 ),
inference(avatar_split_clause,[],[f664,f625,f447,f1386]) ).
fof(f664,plain,
( ! [X0,X1] :
( int_leq(X0,X1)
| ~ int_leq(X0,int_zero)
| ~ int_less(int_zero,X1) )
| ~ spl6_52
| ~ spl6_74 ),
inference(superposition,[],[f626,f448]) ).
fof(f1384,plain,
( spl6_128
| ~ spl6_52
| ~ spl6_73 ),
inference(avatar_split_clause,[],[f655,f621,f447,f1382]) ).
fof(f1382,plain,
( spl6_128
<=> ! [X0,X1] :
( int_leq(X1,X0)
| ~ int_leq(int_zero,X0)
| ~ int_less(X1,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_128])]) ).
fof(f655,plain,
( ! [X0,X1] :
( int_leq(X1,X0)
| ~ int_leq(int_zero,X0)
| ~ int_less(X1,int_zero) )
| ~ spl6_52
| ~ spl6_73 ),
inference(superposition,[],[f622,f448]) ).
fof(f1380,plain,
( spl6_127
| ~ spl6_61
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f602,f592,f502,f1378]) ).
fof(f1378,plain,
( spl6_127
<=> ! [X0] :
( int_less(sK1,X0)
| sK1 = X0
| int_less(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_127])]) ).
fof(f602,plain,
( ! [X0] :
( int_less(sK1,X0)
| sK1 = X0
| int_less(X0,sK2) )
| ~ spl6_61
| ~ spl6_70 ),
inference(resolution,[],[f593,f503]) ).
fof(f1376,plain,
( spl6_126
| ~ spl6_17
| ~ spl6_70 ),
inference(avatar_split_clause,[],[f596,f592,f155,f1374]) ).
fof(f596,plain,
( ! [X0] :
( int_less(X0,int_zero)
| int_zero = X0
| int_leq(int_one,X0) )
| ~ spl6_17
| ~ spl6_70 ),
inference(resolution,[],[f593,f156]) ).
fof(f1372,plain,
( spl6_125
| ~ spl6_20
| ~ spl6_114 ),
inference(avatar_split_clause,[],[f1274,f1200,f167,f1369]) ).
fof(f1274,plain,
( int_leq(sK2,sK3)
| ~ spl6_20
| ~ spl6_114 ),
inference(resolution,[],[f1202,f168]) ).
fof(f1367,plain,
( spl6_124
| ~ spl6_26
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f513,f465,f213,f1365]) ).
fof(f1365,plain,
( spl6_124
<=> ! [X0,X1] :
( int_less(X0,int_one)
| int_less(X1,X0)
| ~ int_less(X1,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_124])]) ).
fof(f513,plain,
( ! [X0,X1] :
( int_less(X0,int_one)
| int_less(X1,X0)
| ~ int_less(X1,int_zero) )
| ~ spl6_26
| ~ spl6_54 ),
inference(resolution,[],[f466,f214]) ).
fof(f1363,plain,
( spl6_123
| ~ spl6_26
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f508,f465,f213,f1361]) ).
fof(f1361,plain,
( spl6_123
<=> ! [X0,X1] :
( int_less(int_zero,X0)
| int_less(X1,int_one)
| ~ int_less(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_123])]) ).
fof(f508,plain,
( ! [X0,X1] :
( int_less(int_zero,X0)
| int_less(X1,int_one)
| ~ int_less(X1,X0) )
| ~ spl6_26
| ~ spl6_54 ),
inference(resolution,[],[f466,f214]) ).
fof(f1287,plain,
( spl6_122
| ~ spl6_6
| ~ spl6_72 ),
inference(avatar_split_clause,[],[f633,f617,f99,f1285]) ).
fof(f633,plain,
( ! [X0,X1] :
( ~ int_less(plus(X0,X1),X0)
| ~ int_less(int_zero,X1) )
| ~ spl6_6
| ~ spl6_72 ),
inference(resolution,[],[f618,f100]) ).
fof(f1283,plain,
( spl6_121
| ~ spl6_6
| ~ spl6_71 ),
inference(avatar_split_clause,[],[f628,f613,f99,f1281]) ).
fof(f1281,plain,
( spl6_121
<=> ! [X0,X1] :
( ~ int_less(sK5(X0,X1),int_zero)
| ~ int_less(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_121])]) ).
fof(f628,plain,
( ! [X0,X1] :
( ~ int_less(sK5(X0,X1),int_zero)
| ~ int_less(X0,X1) )
| ~ spl6_6
| ~ spl6_71 ),
inference(resolution,[],[f614,f100]) ).
fof(f1270,plain,
( ~ spl6_40
| spl6_120
| ~ spl6_64
| ~ spl6_68 ),
inference(avatar_split_clause,[],[f589,f559,f532,f1267,f335]) ).
fof(f589,plain,
( int_less(sK5(sK1,sK2),sK2)
| ~ int_less(int_zero,sK1)
| ~ spl6_64
| ~ spl6_68 ),
inference(superposition,[],[f560,f534]) ).
fof(f1265,plain,
( spl6_119
| ~ spl6_21
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f575,f555,f179,f1263]) ).
fof(f575,plain,
( ! [X0,X1] :
( int_leq(X0,plus(X1,X0))
| ~ int_less(int_zero,X1) )
| ~ spl6_21
| ~ spl6_67 ),
inference(superposition,[],[f556,f180]) ).
fof(f1261,plain,
( spl6_118
| ~ spl6_18
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f573,f555,f159,f1259]) ).
fof(f573,plain,
( ! [X0] :
( ~ int_less(int_zero,X0)
| int_less(int_zero,plus(int_one,X0)) )
| ~ spl6_18
| ~ spl6_67 ),
inference(resolution,[],[f556,f160]) ).
fof(f1257,plain,
( spl6_117
| ~ spl6_27
| ~ spl6_52
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f515,f465,f447,f226,f1255]) ).
fof(f515,plain,
( ! [X0] :
( sK5(int_zero,X0) = X0
| int_less(X0,int_one) )
| ~ spl6_27
| ~ spl6_52
| ~ spl6_54 ),
inference(forward_demodulation,[],[f512,f448]) ).
fof(f512,plain,
( ! [X0] :
( int_less(X0,int_one)
| plus(int_zero,sK5(int_zero,X0)) = X0 )
| ~ spl6_27
| ~ spl6_54 ),
inference(resolution,[],[f466,f227]) ).
fof(f1239,plain,
( spl6_116
| ~ spl6_29
| ~ spl6_67 ),
inference(avatar_split_clause,[],[f572,f555,f246,f1237]) ).
fof(f572,plain,
( ! [X0] :
( ~ int_less(int_zero,X0)
| ~ int_leq(plus(int_one,X0),n) )
| ~ spl6_29
| ~ spl6_67 ),
inference(resolution,[],[f556,f247]) ).
fof(f1235,plain,
( spl6_115
| ~ spl6_29
| ~ spl6_65 ),
inference(avatar_split_clause,[],[f562,f547,f246,f1233]) ).
fof(f562,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| ~ int_leq(sK5(X0,X1),n) )
| ~ spl6_29
| ~ spl6_65 ),
inference(resolution,[],[f548,f247]) ).
fof(f1203,plain,
( spl6_114
| ~ spl6_85
| ~ spl6_100 ),
inference(avatar_split_clause,[],[f1042,f1027,f810,f1200]) ).
fof(f1042,plain,
( int_less(sK2,sK3)
| ~ spl6_85
| ~ spl6_100 ),
inference(resolution,[],[f1029,f811]) ).
fof(f1172,plain,
( spl6_113
| ~ spl6_27
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f494,f490,f226,f1169]) ).
fof(f494,plain,
( n = plus(sK2,sK5(sK2,n))
| ~ spl6_27
| ~ spl6_59 ),
inference(resolution,[],[f492,f227]) ).
fof(f1167,plain,
( spl6_112
| ~ spl6_27
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f482,f473,f226,f1164]) ).
fof(f482,plain,
( sK1 = plus(int_one,sK5(int_one,sK1))
| ~ spl6_27
| ~ spl6_56 ),
inference(resolution,[],[f475,f227]) ).
fof(f1162,plain,
( spl6_111
| ~ spl6_27
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f441,f335,f226,f1159]) ).
fof(f441,plain,
( sK1 = plus(int_zero,sK5(int_zero,sK1))
| ~ spl6_27
| ~ spl6_40 ),
inference(resolution,[],[f337,f227]) ).
fof(f1131,plain,
( spl6_110
| ~ spl6_20
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f514,f465,f167,f1129]) ).
fof(f1129,plain,
( spl6_110
<=> ! [X0] :
( int_less(X0,int_one)
| int_leq(int_zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_110])]) ).
fof(f514,plain,
( ! [X0] :
( int_less(X0,int_one)
| int_leq(int_zero,X0) )
| ~ spl6_20
| ~ spl6_54 ),
inference(resolution,[],[f466,f168]) ).
fof(f1126,plain,
( spl6_109
| ~ spl6_20
| ~ spl6_54 ),
inference(avatar_split_clause,[],[f509,f465,f167,f1124]) ).
fof(f509,plain,
( ! [X0] :
( int_less(int_zero,X0)
| int_leq(X0,int_one) )
| ~ spl6_20
| ~ spl6_54 ),
inference(resolution,[],[f466,f168]) ).
fof(f1122,plain,
( spl6_108
| ~ spl6_26
| ~ spl6_59 ),
inference(avatar_split_clause,[],[f495,f490,f213,f1120]) ).
fof(f495,plain,
( ! [X0] :
( int_less(X0,n)
| ~ int_less(X0,sK2) )
| ~ spl6_26
| ~ spl6_59 ),
inference(resolution,[],[f492,f214]) ).
fof(f1118,plain,
( spl6_107
| ~ spl6_26
| ~ spl6_56 ),
inference(avatar_split_clause,[],[f483,f473,f213,f1116]) ).
fof(f483,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,int_one) )
| ~ spl6_26
| ~ spl6_56 ),
inference(resolution,[],[f475,f214]) ).
fof(f1114,plain,
( spl6_106
| ~ spl6_26
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f442,f335,f213,f1112]) ).
fof(f442,plain,
( ! [X0] :
( int_less(X0,sK1)
| ~ int_less(X0,int_zero) )
| ~ spl6_26
| ~ spl6_40 ),
inference(resolution,[],[f337,f214]) ).
fof(f1091,plain,
( spl6_105
| ~ spl6_19
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f462,f458,f163,f1089]) ).
fof(f462,plain,
( ! [X0] :
( int_less(X0,int_one)
| int_less(n,X0) )
| ~ spl6_19
| ~ spl6_53 ),
inference(resolution,[],[f459,f164]) ).
fof(f1082,plain,
( spl6_104
| ~ spl6_52
| ~ spl6_63 ),
inference(avatar_split_clause,[],[f536,f527,f447,f1079]) ).
fof(f527,plain,
( spl6_63
<=> int_one = plus(int_zero,sK5(int_zero,int_one)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_63])]) ).
fof(f536,plain,
( int_one = sK5(int_zero,int_one)
| ~ spl6_52
| ~ spl6_63 ),
inference(superposition,[],[f529,f448]) ).
fof(f529,plain,
( int_one = plus(int_zero,sK5(int_zero,int_one))
| ~ spl6_63 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f1069,plain,
( spl6_38
| ~ spl6_56
| ~ spl6_86 ),
inference(avatar_split_clause,[],[f837,f814,f473,f319]) ).
fof(f837,plain,
( int_less(int_one,sK3)
| ~ spl6_56
| ~ spl6_86 ),
inference(resolution,[],[f815,f475]) ).
fof(f1061,plain,
( spl6_103
| ~ spl6_56
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f519,f502,f473,f1058]) ).
fof(f519,plain,
( int_less(int_one,sK2)
| ~ spl6_56
| ~ spl6_61 ),
inference(resolution,[],[f503,f475]) ).
fof(f1056,plain,
( spl6_102
| ~ spl6_40
| ~ spl6_61 ),
inference(avatar_split_clause,[],[f517,f502,f335,f1053]) ).
fof(f517,plain,
( int_less(int_zero,sK2)
| ~ spl6_40
| ~ spl6_61 ),
inference(resolution,[],[f503,f337]) ).
fof(f1051,plain,
( spl6_101
| ~ spl6_20
| ~ spl6_40 ),
inference(avatar_split_clause,[],[f443,f335,f167,f1048]) ).
fof(f443,plain,
( int_leq(int_zero,sK1)
| ~ spl6_20
| ~ spl6_40 ),
inference(resolution,[],[f337,f168]) ).
fof(f1030,plain,
( spl6_100
| ~ spl6_13
| ~ spl6_53 ),
inference(avatar_split_clause,[],[f463,f458,f134,f1027]) ).
fof(f463,plain,
( int_less(sK2,int_one)
| ~ spl6_13
| ~ spl6_53 ),
inference(resolution,[],[f459,f136]) ).
fof(f1025,plain,
( spl6_99
| ~ spl6_19
| spl6_39 ),
inference(avatar_split_clause,[],[f330,f325,f163,f1022]) ).
fof(f330,plain,
( int_less(n,int_one)
| ~ spl6_19
| spl6_39 ),
inference(resolution,[],[f327,f164]) ).
fof(f1020,plain,
( spl6_98
| ~ spl6_38
| ~ spl6_84 ),
inference(avatar_split_clause,[],[f824,f806,f319,f1017]) ).
fof(f1017,plain,
( spl6_98
<=> int_less(int_one,int_one) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_98])]) ).
fof(f806,plain,
( spl6_84
<=> ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_84])]) ).
fof(f824,plain,
( int_less(int_one,int_one)
| ~ spl6_38
| ~ spl6_84 ),
inference(resolution,[],[f807,f321]) ).
fof(f807,plain,
( ! [X0] :
( ~ int_less(X0,sK3)
| int_less(X0,int_one) )
| ~ spl6_84 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f1015,plain,
( spl6_97
| ~ spl6_19
| spl6_36 ),
inference(avatar_split_clause,[],[f329,f305,f163,f1012]) ).
fof(f329,plain,
( int_less(n,sK1)
| ~ spl6_19
| spl6_36 ),
inference(resolution,[],[f307,f164]) ).
fof(f987,plain,
( spl6_96
| ~ spl6_24
| ~ spl6_79 ),
inference(avatar_split_clause,[],[f738,f732,f195,f985]) ).
fof(f738,plain,
( ! [X0] : plus(X0,sK3) = plus(X0,sK5(X0,plus(X0,sK3)))
| ~ spl6_24
| ~ spl6_79 ),
inference(resolution,[],[f733,f197]) ).
fof(f972,plain,
( spl6_95
| ~ spl6_31
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f689,f668,f256,f969]) ).
fof(f689,plain,
( sK5(sK3,int_one) = sK5(int_zero,sK5(sK3,int_one))
| ~ spl6_31
| ~ spl6_76 ),
inference(resolution,[],[f669,f258]) ).
fof(f258,plain,
( int_less(sK3,int_one)
| ~ spl6_31 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f967,plain,
( spl6_94
| ~ spl6_45
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f687,f668,f393,f964]) ).
fof(f687,plain,
( sK5(sK1,sK3) = sK5(int_zero,sK5(sK1,sK3))
| ~ spl6_45
| ~ spl6_76 ),
inference(resolution,[],[f669,f395]) ).
fof(f962,plain,
( spl6_41
| ~ spl6_8
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f944,f315,f107,f349]) ).
fof(f944,plain,
( int_leq(sK3,sK1)
| ~ spl6_8
| ~ spl6_37 ),
inference(superposition,[],[f109,f317]) ).
fof(f941,plain,
( spl6_93
| ~ spl6_38
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f683,f668,f319,f938]) ).
fof(f683,plain,
( sK5(int_one,sK3) = sK5(int_zero,sK5(int_one,sK3))
| ~ spl6_38
| ~ spl6_76 ),
inference(resolution,[],[f669,f321]) ).
fof(f935,plain,
( spl6_92
| ~ spl6_24
| ~ spl6_76 ),
inference(avatar_split_clause,[],[f681,f668,f195,f932]) ).
fof(f932,plain,
( spl6_92
<=> sK5(int_zero,sK3) = sK5(int_zero,sK5(int_zero,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_92])]) ).
fof(f681,plain,
( sK5(int_zero,sK3) = sK5(int_zero,sK5(int_zero,sK3))
| ~ spl6_24
| ~ spl6_76 ),
inference(resolution,[],[f669,f197]) ).
fof(f862,plain,
( spl6_91
| ~ spl6_27
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f408,f393,f226,f859]) ).
fof(f408,plain,
( sK3 = plus(sK1,sK5(sK1,sK3))
| ~ spl6_27
| ~ spl6_45 ),
inference(resolution,[],[f395,f227]) ).
fof(f857,plain,
( spl6_90
| ~ spl6_27
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f389,f319,f226,f854]) ).
fof(f852,plain,
( spl6_89
| ~ spl6_20
| ~ spl6_34 ),
inference(avatar_split_clause,[],[f333,f281,f167,f849]) ).
fof(f849,plain,
( spl6_89
<=> int_leq(n,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_89])]) ).
fof(f333,plain,
( int_leq(n,sK3)
| ~ spl6_20
| ~ spl6_34 ),
inference(resolution,[],[f283,f168]) ).
fof(f847,plain,
( spl6_88
| ~ spl6_27
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f297,f256,f226,f844]) ).
fof(f297,plain,
( int_one = plus(sK3,sK5(sK3,int_one))
| ~ spl6_27
| ~ spl6_31 ),
inference(resolution,[],[f258,f227]) ).
fof(f842,plain,
( spl6_87
| ~ spl6_24
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f264,f226,f195,f839]) ).
fof(f264,plain,
( sK3 = plus(int_zero,sK5(int_zero,sK3))
| ~ spl6_24
| ~ spl6_27 ),
inference(resolution,[],[f197,f227]) ).
fof(f816,plain,
( spl6_86
| ~ spl6_26
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f409,f393,f213,f814]) ).
fof(f409,plain,
( ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,sK1) )
| ~ spl6_26
| ~ spl6_45 ),
inference(resolution,[],[f395,f214]) ).
fof(f812,plain,
( spl6_85
| ~ spl6_26
| ~ spl6_38 ),
inference(avatar_split_clause,[],[f390,f319,f213,f810]) ).
fof(f390,plain,
( ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,int_one) )
| ~ spl6_26
| ~ spl6_38 ),
inference(resolution,[],[f321,f214]) ).
fof(f808,plain,
( spl6_84
| ~ spl6_26
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f298,f256,f213,f806]) ).
fof(f298,plain,
( ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,sK3) )
| ~ spl6_26
| ~ spl6_31 ),
inference(resolution,[],[f258,f214]) ).
fof(f804,plain,
( spl6_83
| ~ spl6_24
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f265,f213,f195,f802]) ).
fof(f265,plain,
( ! [X0] :
( int_less(X0,sK3)
| ~ int_less(X0,int_zero) )
| ~ spl6_24
| ~ spl6_26 ),
inference(resolution,[],[f197,f214]) ).
fof(f799,plain,
( ~ spl6_6
| ~ spl6_82 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| ~ spl6_6
| ~ spl6_82 ),
inference(resolution,[],[f785,f100]) ).
fof(f785,plain,
( int_less(sK3,sK3)
| ~ spl6_82 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f789,plain,
( ~ spl6_7
| spl6_69 ),
inference(avatar_contradiction_clause,[],[f787]) ).
fof(f787,plain,
( $false
| ~ spl6_7
| spl6_69 ),
inference(resolution,[],[f569,f104]) ).
fof(f569,plain,
( ~ int_leq(sK3,sK3)
| spl6_69 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f567,plain,
( spl6_69
<=> int_leq(sK3,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_69])]) ).
fof(f786,plain,
( spl6_82
| ~ spl6_9
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f525,f521,f112,f783]) ).
fof(f525,plain,
( int_less(sK3,sK3)
| ~ spl6_9
| ~ spl6_62 ),
inference(forward_demodulation,[],[f523,f114]) ).
fof(f779,plain,
( ~ spl6_75
| ~ spl6_9
| spl6_33 ),
inference(avatar_split_clause,[],[f778,f272,f112,f645]) ).
fof(f778,plain,
( ~ int_less(sK3,n)
| ~ spl6_9
| spl6_33 ),
inference(forward_demodulation,[],[f273,f114]) ).
fof(f273,plain,
( ~ int_less(sK4,n)
| spl6_33 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f777,plain,
( spl6_14
| ~ spl6_9
| ~ spl6_20
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f415,f272,f167,f112,f141]) ).
fof(f757,plain,
( spl6_81
| ~ spl6_25
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f238,f235,f209,f755]) ).
fof(f238,plain,
( ! [X2,X3,X0,X1] :
( ~ int_leq(X0,X1)
| ~ int_less(X2,X3)
| int_less(plus(X2,X0),plus(X3,X1))
| plus(X2,X0) = plus(X3,X1) )
| ~ spl6_25
| ~ spl6_28 ),
inference(resolution,[],[f236,f210]) ).
fof(f753,plain,
( spl6_80
| ~ spl6_20
| ~ spl6_45 ),
inference(avatar_split_clause,[],[f410,f393,f167,f750]) ).
fof(f410,plain,
( int_leq(sK1,sK3)
| ~ spl6_20
| ~ spl6_45 ),
inference(resolution,[],[f395,f168]) ).
fof(f734,plain,
( spl6_79
| ~ spl6_23
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f232,f226,f191,f732]) ).
fof(f232,plain,
( ! [X0,X1] :
( plus(X0,X1) = plus(X0,sK5(X0,plus(X0,X1)))
| ~ int_less(int_zero,X1) )
| ~ spl6_23
| ~ spl6_27 ),
inference(resolution,[],[f227,f192]) ).
fof(f700,plain,
( spl6_78
| ~ spl6_21
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f243,f235,f179,f698]) ).
fof(f243,plain,
( ! [X2,X3,X0,X1] :
( int_leq(plus(X2,X3),plus(X1,X0))
| ~ int_leq(X3,X1)
| ~ int_less(X2,X0) )
| ~ spl6_21
| ~ spl6_28 ),
inference(superposition,[],[f236,f180]) ).
fof(f696,plain,
( spl6_77
| ~ spl6_21
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f240,f235,f179,f694]) ).
fof(f240,plain,
( ! [X2,X3,X0,X1] :
( int_leq(plus(X1,X0),plus(X2,X3))
| ~ int_leq(X1,X3)
| ~ int_less(X0,X2) )
| ~ spl6_21
| ~ spl6_28 ),
inference(superposition,[],[f236,f180]) ).
fof(f670,plain,
( spl6_76
| ~ spl6_15
| ~ spl6_21
| ~ spl6_22
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f233,f226,f187,f179,f146,f668]) ).
fof(f233,plain,
( ! [X0,X1] :
( sK5(X0,X1) = sK5(int_zero,sK5(X0,X1))
| ~ int_less(X0,X1) )
| ~ spl6_15
| ~ spl6_21
| ~ spl6_22
| ~ spl6_27 ),
inference(forward_demodulation,[],[f230,f182]) ).
fof(f182,plain,
( ! [X0] : plus(int_zero,X0) = X0
| ~ spl6_15
| ~ spl6_21 ),
inference(superposition,[],[f180,f147]) ).
fof(f230,plain,
( ! [X0,X1] :
( sK5(X0,X1) = plus(int_zero,sK5(int_zero,sK5(X0,X1)))
| ~ int_less(X0,X1) )
| ~ spl6_22
| ~ spl6_27 ),
inference(resolution,[],[f227,f188]) ).
fof(f648,plain,
( spl6_75
| ~ spl6_9
| ~ spl6_33 ),
inference(avatar_split_clause,[],[f345,f272,f112,f645]) ).
fof(f345,plain,
( int_less(sK3,n)
| ~ spl6_9
| ~ spl6_33 ),
inference(superposition,[],[f274,f114]) ).
fof(f627,plain,
( spl6_74
| ~ spl6_15
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f242,f235,f146,f625]) ).
fof(f242,plain,
( ! [X2,X0,X1] :
( int_leq(plus(X1,X2),X0)
| ~ int_leq(X2,int_zero)
| ~ int_less(X1,X0) )
| ~ spl6_15
| ~ spl6_28 ),
inference(superposition,[],[f236,f147]) ).
fof(f623,plain,
( spl6_73
| ~ spl6_15
| ~ spl6_28 ),
inference(avatar_split_clause,[],[f239,f235,f146,f621]) ).
fof(f239,plain,
( ! [X2,X0,X1] :
( int_leq(X0,plus(X1,X2))
| ~ int_leq(int_zero,X2)
| ~ int_less(X0,X1) )
| ~ spl6_15
| ~ spl6_28 ),
inference(superposition,[],[f236,f147]) ).
fof(f619,plain,
( spl6_72
| ~ spl6_23
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f224,f213,f191,f617]) ).
fof(f224,plain,
( ! [X2,X0,X1] :
( int_less(X0,plus(X1,X2))
| ~ int_less(X0,X1)
| ~ int_less(int_zero,X2) )
| ~ spl6_23
| ~ spl6_26 ),
inference(resolution,[],[f214,f192]) ).
fof(f615,plain,
( spl6_71
| ~ spl6_22
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f222,f213,f187,f613]) ).
fof(f222,plain,
( ! [X2,X0,X1] :
( int_less(X0,sK5(X1,X2))
| ~ int_less(X0,int_zero)
| ~ int_less(X1,X2) )
| ~ spl6_22
| ~ spl6_26 ),
inference(resolution,[],[f214,f188]) ).
fof(f594,plain,
( spl6_70
| ~ spl6_19
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f217,f209,f163,f592]) ).
fof(f217,plain,
( ! [X0,X1] :
( int_less(X0,X1)
| X0 = X1
| int_less(X1,X0) )
| ~ spl6_19
| ~ spl6_25 ),
inference(resolution,[],[f210,f164]) ).
fof(f570,plain,
( ~ spl6_69
| ~ spl6_9
| spl6_35 ),
inference(avatar_split_clause,[],[f344,f289,f112,f567]) ).
fof(f344,plain,
( ~ int_leq(sK3,sK3)
| ~ spl6_9
| spl6_35 ),
inference(superposition,[],[f291,f114]) ).
fof(f561,plain,
( spl6_68
| ~ spl6_21
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f205,f191,f179,f559]) ).
fof(f205,plain,
( ! [X0,X1] :
( int_less(X0,plus(X1,X0))
| ~ int_less(int_zero,X1) )
| ~ spl6_21
| ~ spl6_23 ),
inference(superposition,[],[f192,f180]) ).
fof(f557,plain,
( spl6_67
| ~ spl6_20
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f203,f191,f167,f555]) ).
fof(f203,plain,
( ! [X0,X1] :
( ~ int_less(int_zero,X0)
| int_leq(X1,plus(X1,X0)) )
| ~ spl6_20
| ~ spl6_23 ),
inference(resolution,[],[f192,f168]) ).
fof(f553,plain,
( spl6_66
| ~ spl6_20
| ~ spl6_22 ),
inference(avatar_split_clause,[],[f201,f187,f167,f551]) ).
fof(f201,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| int_leq(int_zero,sK5(X0,X1)) )
| ~ spl6_20
| ~ spl6_22 ),
inference(resolution,[],[f188,f168]) ).
fof(f549,plain,
( spl6_65
| ~ spl6_17
| ~ spl6_22 ),
inference(avatar_split_clause,[],[f200,f187,f155,f547]) ).
fof(f200,plain,
( ! [X0,X1] :
( ~ int_less(X0,X1)
| int_leq(int_one,sK5(X0,X1)) )
| ~ spl6_17
| ~ spl6_22 ),
inference(resolution,[],[f188,f156]) ).
fof(f535,plain,
( spl6_64
| ~ spl6_10
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f231,f226,f117,f532]) ).
fof(f231,plain,
( sK2 = plus(sK1,sK5(sK1,sK2))
| ~ spl6_10
| ~ spl6_27 ),
inference(resolution,[],[f227,f119]) ).
fof(f530,plain,
( spl6_63
| ~ spl6_5
| ~ spl6_27 ),
inference(avatar_split_clause,[],[f229,f226,f94,f527]) ).
fof(f229,plain,
( int_one = plus(int_zero,sK5(int_zero,int_one))
| ~ spl6_5
| ~ spl6_27 ),
inference(resolution,[],[f227,f96]) ).
fof(f524,plain,
( spl6_62
| ~ spl6_19
| spl6_35 ),
inference(avatar_split_clause,[],[f303,f289,f163,f521]) ).
fof(f303,plain,
( int_less(sK4,sK3)
| ~ spl6_19
| spl6_35 ),
inference(resolution,[],[f291,f164]) ).
fof(f504,plain,
( spl6_61
| ~ spl6_10
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f223,f213,f117,f502]) ).
fof(f223,plain,
( ! [X0] :
( int_less(X0,sK2)
| ~ int_less(X0,sK1) )
| ~ spl6_10
| ~ spl6_26 ),
inference(resolution,[],[f214,f119]) ).
fof(f500,plain,
( spl6_60
| ~ spl6_5
| ~ spl6_26 ),
inference(avatar_split_clause,[],[f221,f213,f94,f498]) ).
fof(f498,plain,
( spl6_60
<=> ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,int_zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_60])]) ).
fof(f221,plain,
( ! [X0] :
( int_less(X0,int_one)
| ~ int_less(X0,int_zero) )
| ~ spl6_5
| ~ spl6_26 ),
inference(resolution,[],[f214,f96]) ).
fof(f493,plain,
( spl6_58
| spl6_59
| ~ spl6_13
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f219,f209,f134,f490,f486]) ).
fof(f219,plain,
( int_less(sK2,n)
| n = sK2
| ~ spl6_13
| ~ spl6_25 ),
inference(resolution,[],[f210,f136]) ).
fof(f481,plain,
( spl6_57
| ~ spl6_20
| ~ spl6_31 ),
inference(avatar_split_clause,[],[f299,f256,f167,f478]) ).
fof(f299,plain,
( int_leq(sK3,int_one)
| ~ spl6_20
| ~ spl6_31 ),
inference(resolution,[],[f258,f168]) ).
fof(f476,plain,
( spl6_55
| spl6_56
| ~ spl6_8
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f218,f209,f107,f473,f469]) ).
fof(f218,plain,
( int_less(int_one,sK1)
| int_one = sK1
| ~ spl6_8
| ~ spl6_25 ),
inference(resolution,[],[f210,f109]) ).
fof(f467,plain,
( spl6_54
| ~ spl6_18
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f175,f163,f159,f465]) ).
fof(f175,plain,
( ! [X0] :
( int_less(X0,int_one)
| int_less(int_zero,X0) )
| ~ spl6_18
| ~ spl6_19 ),
inference(resolution,[],[f164,f160]) ).
fof(f460,plain,
( spl6_53
| ~ spl6_19
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f254,f246,f163,f458]) ).
fof(f254,plain,
( ! [X0] :
( ~ int_leq(X0,n)
| int_less(X0,int_one) )
| ~ spl6_19
| ~ spl6_29 ),
inference(resolution,[],[f247,f164]) ).
fof(f449,plain,
( spl6_52
| ~ spl6_15
| ~ spl6_21 ),
inference(avatar_split_clause,[],[f182,f179,f146,f447]) ).
fof(f439,plain,
( spl6_51
| ~ spl6_10
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f177,f167,f117,f436]) ).
fof(f177,plain,
( int_leq(sK1,sK2)
| ~ spl6_10
| ~ spl6_20 ),
inference(resolution,[],[f168,f119]) ).
fof(f434,plain,
( spl6_50
| ~ spl6_20
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f266,f195,f167,f431]) ).
fof(f431,plain,
( spl6_50
<=> int_leq(int_zero,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_50])]) ).
fof(f266,plain,
( int_leq(int_zero,sK3)
| ~ spl6_20
| ~ spl6_24 ),
inference(resolution,[],[f197,f168]) ).
fof(f429,plain,
( spl6_49
| ~ spl6_5
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f176,f167,f94,f426]) ).
fof(f176,plain,
( int_leq(int_zero,int_one)
| ~ spl6_5
| ~ spl6_20 ),
inference(resolution,[],[f168,f96]) ).
fof(f423,plain,
( ~ spl6_14
| ~ spl6_2
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f310,f246,f79,f141]) ).
fof(f310,plain,
( ~ int_leq(sK3,n)
| ~ spl6_2
| ~ spl6_29 ),
inference(resolution,[],[f81,f247]) ).
fof(f414,plain,
( spl6_48
| spl6_4
| ~ spl6_2
| ~ spl6_12
| ~ spl6_30 ),
inference(avatar_split_clause,[],[f365,f249,f129,f79,f89,f412]) ).
fof(f365,plain,
( ! [X0] :
( real_zero = real_one
| ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| ~ int_leq(sK3,X0) )
| ~ spl6_2
| ~ spl6_12
| ~ spl6_30 ),
inference(forward_demodulation,[],[f361,f130]) ).
fof(f361,plain,
( ! [X0] :
( ~ int_leq(int_one,X0)
| ~ int_leq(X0,n)
| real_one = a(sK3,sK3)
| ~ int_leq(sK3,X0) )
| ~ spl6_2
| ~ spl6_30 ),
inference(resolution,[],[f250,f81]) ).
fof(f406,plain,
( spl6_46
| spl6_47
| ~ spl6_25
| ~ spl6_41 ),
inference(avatar_split_clause,[],[f397,f349,f209,f403,f399]) ).
fof(f397,plain,
( int_less(sK3,sK1)
| sK1 = sK3
| ~ spl6_25
| ~ spl6_41 ),
inference(resolution,[],[f350,f210]) ).
fof(f396,plain,
( spl6_45
| ~ spl6_19
| spl6_41 ),
inference(avatar_split_clause,[],[f353,f349,f163,f393]) ).
fof(f353,plain,
( int_less(sK1,sK3)
| ~ spl6_19
| spl6_41 ),
inference(resolution,[],[f351,f164]) ).
fof(f351,plain,
( ~ int_leq(sK3,sK1)
| spl6_41 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f379,plain,
spl6_44,
inference(avatar_split_clause,[],[f70,f377]) ).
fof(f70,plain,
! [X1,X6,X5] :
( a(plus(X6,X5),X6) = qr(plus(X6,X5),X6)
| ~ int_leq(X6,X1)
| ~ int_leq(int_one,X6)
| ~ int_less(int_zero,X5)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(plus(X1,X5),n)
| ~ int_leq(int_one,plus(X1,X5)) ),
inference(equality_resolution,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X6,X5] :
( a(plus(X6,X5),X6) = qr(plus(X6,X5),X6)
| ~ int_leq(X6,X1)
| ~ int_leq(int_one,X6)
| plus(X1,X5) != X0
| ~ int_less(int_zero,X5)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( ! [X2] :
( ! [X3] :
( real_zero = a(X3,plus(X3,X2))
| ~ int_leq(X3,X0)
| ~ int_leq(int_one,X3) )
| plus(X0,X2) != X1
| ~ int_less(int_zero,X2) )
& ! [X4] :
( real_one = a(X4,X4)
| ~ int_leq(X4,X1)
| ~ int_leq(int_one,X4) )
& ! [X5] :
( ! [X6] :
( a(plus(X6,X5),X6) = qr(plus(X6,X5),X6)
| ~ int_leq(X6,X1)
| ~ int_leq(int_one,X6) )
| plus(X1,X5) != X0
| ~ int_less(int_zero,X5) ) )
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( ! [X2] :
( ! [X3] :
( real_zero = a(X3,plus(X3,X2))
| ~ int_leq(X3,X0)
| ~ int_leq(int_one,X3) )
| plus(X0,X2) != X1
| ~ int_less(int_zero,X2) )
& ! [X4] :
( real_one = a(X4,X4)
| ~ int_leq(X4,X1)
| ~ int_leq(int_one,X4) )
& ! [X5] :
( ! [X6] :
( a(plus(X6,X5),X6) = qr(plus(X6,X5),X6)
| ~ int_leq(X6,X1)
| ~ int_leq(int_one,X6) )
| plus(X1,X5) != X0
| ~ int_less(int_zero,X5) ) )
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( int_leq(X1,n)
& int_leq(int_one,X1)
& int_leq(X0,n)
& int_leq(int_one,X0) )
=> ( ! [X2] :
( ( plus(X0,X2) = X1
& int_less(int_zero,X2) )
=> ! [X3] :
( ( int_leq(X3,X0)
& int_leq(int_one,X3) )
=> real_zero = a(X3,plus(X3,X2)) ) )
& ! [X4] :
( ( int_leq(X4,X1)
& int_leq(int_one,X4) )
=> real_one = a(X4,X4) )
& ! [X5] :
( ( plus(X1,X5) = X0
& int_less(int_zero,X5) )
=> ! [X6] :
( ( int_leq(X6,X1)
& int_leq(int_one,X6) )
=> a(plus(X6,X5),X6) = qr(plus(X6,X5),X6) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( int_leq(X1,n)
& int_leq(int_one,X1)
& int_leq(X0,n)
& int_leq(int_one,X0) )
=> ( ! [X7] :
( ( plus(X0,X7) = X1
& int_less(int_zero,X7) )
=> ! [X2] :
( ( int_leq(X2,X0)
& int_leq(int_one,X2) )
=> real_zero = a(X2,plus(X2,X7)) ) )
& ! [X2] :
( ( int_leq(X2,X1)
& int_leq(int_one,X2) )
=> real_one = a(X2,X2) )
& ! [X7] :
( ( plus(X1,X7) = X0
& int_less(int_zero,X7) )
=> ! [X2] :
( ( int_leq(X2,X1)
& int_leq(int_one,X2) )
=> a(plus(X2,X7),X2) = qr(plus(X2,X7),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qih) ).
fof(f369,plain,
spl6_43,
inference(avatar_split_clause,[],[f69,f367]) ).
fof(f69,plain,
! [X2,X3,X0] :
( real_zero = a(X3,plus(X3,X2))
| ~ int_leq(X3,X0)
| ~ int_leq(int_one,X3)
| ~ int_less(int_zero,X2)
| ~ int_leq(plus(X0,X2),n)
| ~ int_leq(int_one,plus(X0,X2))
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( real_zero = a(X3,plus(X3,X2))
| ~ int_leq(X3,X0)
| ~ int_leq(int_one,X3)
| plus(X0,X2) != X1
| ~ int_less(int_zero,X2)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f357,plain,
( spl6_42
| ~ spl6_30
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f340,f315,f249,f355]) ).
fof(f340,plain,
( ! [X1,X4] :
( ~ int_leq(sK3,X4)
| ~ int_leq(sK3,X1)
| real_one = a(X4,X4)
| ~ int_leq(X1,n)
| ~ int_leq(X4,X1) )
| ~ spl6_30
| ~ spl6_37 ),
inference(forward_demodulation,[],[f339,f317]) ).
fof(f339,plain,
( ! [X1,X4] :
( ~ int_leq(sK3,X1)
| real_one = a(X4,X4)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X4)
| ~ int_leq(X4,X1) )
| ~ spl6_30
| ~ spl6_37 ),
inference(forward_demodulation,[],[f250,f317]) ).
fof(f352,plain,
( ~ spl6_41
| spl6_8
| ~ spl6_37 ),
inference(avatar_split_clause,[],[f342,f315,f107,f349]) ).
fof(f342,plain,
( ~ int_leq(sK3,sK1)
| spl6_8
| ~ spl6_37 ),
inference(forward_demodulation,[],[f108,f317]) ).
fof(f338,plain,
( spl6_40
| ~ spl6_8
| ~ spl6_18 ),
inference(avatar_split_clause,[],[f172,f159,f107,f335]) ).
fof(f172,plain,
( int_less(int_zero,sK1)
| ~ spl6_8
| ~ spl6_18 ),
inference(resolution,[],[f160,f109]) ).
fof(f328,plain,
( ~ spl6_39
| ~ spl6_7
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f253,f246,f103,f325]) ).
fof(f253,plain,
( ~ int_leq(int_one,n)
| ~ spl6_7
| ~ spl6_29 ),
inference(resolution,[],[f247,f104]) ).
fof(f322,plain,
( spl6_37
| spl6_38
| ~ spl6_2
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f262,f209,f79,f319,f315]) ).
fof(f262,plain,
( int_less(int_one,sK3)
| int_one = sK3
| ~ spl6_2
| ~ spl6_25 ),
inference(resolution,[],[f81,f210]) ).
fof(f309,plain,
( spl6_2
| ~ spl6_17
| ~ spl6_24 ),
inference(avatar_split_clause,[],[f263,f195,f155,f79]) ).
fof(f263,plain,
( int_leq(int_one,sK3)
| ~ spl6_17
| ~ spl6_24 ),
inference(resolution,[],[f197,f156]) ).
fof(f308,plain,
( ~ spl6_36
| ~ spl6_8
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f252,f246,f107,f305]) ).
fof(f252,plain,
( ~ int_leq(sK1,n)
| ~ spl6_8
| ~ spl6_29 ),
inference(resolution,[],[f247,f109]) ).
fof(f295,plain,
( ~ spl6_14
| ~ spl6_2
| ~ spl6_29 ),
inference(avatar_split_clause,[],[f260,f246,f79,f141]) ).
fof(f260,plain,
( ~ int_leq(sK3,n)
| ~ spl6_2
| ~ spl6_29 ),
inference(resolution,[],[f81,f247]) ).
fof(f293,plain,
( spl6_35
| ~ spl6_14
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f287,f268,f141,f289]) ).
fof(f287,plain,
( int_leq(sK3,sK4)
| ~ spl6_14
| ~ spl6_32 ),
inference(forward_demodulation,[],[f143,f270]) ).
fof(f143,plain,
( int_leq(sK3,n)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f292,plain,
( ~ spl6_35
| ~ spl6_2
| ~ spl6_29
| ~ spl6_32 ),
inference(avatar_split_clause,[],[f285,f268,f246,f79,f289]) ).
fof(f285,plain,
( ~ int_leq(sK3,sK4)
| ~ spl6_2
| ~ spl6_29
| ~ spl6_32 ),
inference(forward_demodulation,[],[f260,f270]) ).
fof(f284,plain,
( spl6_34
| spl6_14
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f174,f163,f141,f281]) ).
fof(f174,plain,
( int_less(n,sK3)
| spl6_14
| ~ spl6_19 ),
inference(resolution,[],[f164,f142]) ).
fof(f275,plain,
( spl6_32
| spl6_33
| ~ spl6_3
| ~ spl6_25 ),
inference(avatar_split_clause,[],[f220,f209,f84,f272,f268]) ).
fof(f220,plain,
( int_less(sK4,n)
| n = sK4
| ~ spl6_3
| ~ spl6_25 ),
inference(resolution,[],[f210,f86]) ).
fof(f86,plain,
( int_leq(sK4,n)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f259,plain,
( spl6_31
| spl6_2
| ~ spl6_19 ),
inference(avatar_split_clause,[],[f199,f163,f79,f256]) ).
fof(f199,plain,
( int_less(sK3,int_one)
| spl6_2
| ~ spl6_19 ),
inference(resolution,[],[f80,f164]) ).
fof(f80,plain,
( ~ int_leq(int_one,sK3)
| spl6_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f251,plain,
( spl6_29
| spl6_30 ),
inference(avatar_split_clause,[],[f51,f249,f246]) ).
fof(f51,plain,
! [X0,X1,X4] :
( real_one = a(X4,X4)
| ~ int_leq(X4,X1)
| ~ int_leq(int_one,X4)
| ~ int_leq(X1,n)
| ~ int_leq(int_one,X1)
| ~ int_leq(X0,n)
| ~ int_leq(int_one,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f237,plain,
spl6_28,
inference(avatar_split_clause,[],[f68,f235]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( int_leq(plus(X0,X2),plus(X1,X3))
| ~ int_leq(X2,X3)
| ~ int_less(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( int_leq(plus(X0,X2),plus(X1,X3))
| ~ int_leq(X2,X3)
| ~ int_less(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( int_leq(plus(X0,X2),plus(X1,X3))
| ~ int_leq(X2,X3)
| ~ int_less(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ( int_leq(X2,X3)
& int_less(X0,X1) )
=> int_leq(plus(X0,X2),plus(X1,X3)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X4,X5,X6] :
( ( int_leq(X5,X6)
& int_less(X3,X4) )
=> int_leq(plus(X3,X5),plus(X4,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_order1) ).
fof(f228,plain,
spl6_27,
inference(avatar_split_clause,[],[f61,f226]) ).
fof(f61,plain,
! [X0,X1] :
( plus(X0,sK5(X0,X1)) = X1
| ~ int_less(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( int_less(X0,X1)
| ! [X2] :
( ~ int_less(int_zero,X2)
| plus(X0,X2) != X1 ) )
& ( ( int_less(int_zero,sK5(X0,X1))
& plus(X0,sK5(X0,X1)) = X1 )
| ~ int_less(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X3] :
( int_less(int_zero,X3)
& plus(X0,X3) = X1 )
=> ( int_less(int_zero,sK5(X0,X1))
& plus(X0,sK5(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( int_less(X0,X1)
| ! [X2] :
( ~ int_less(int_zero,X2)
| plus(X0,X2) != X1 ) )
& ( ? [X3] :
( int_less(int_zero,X3)
& plus(X0,X3) = X1 )
| ~ int_less(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( int_less(X0,X1)
| ! [X2] :
( ~ int_less(int_zero,X2)
| plus(X0,X2) != X1 ) )
& ( ? [X2] :
( int_less(int_zero,X2)
& plus(X0,X2) = X1 )
| ~ int_less(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( int_less(X0,X1)
<=> ? [X2] :
( int_less(int_zero,X2)
& plus(X0,X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_and_inverse) ).
fof(f215,plain,
spl6_26,
inference(avatar_split_clause,[],[f67,f213]) ).
fof(f67,plain,
! [X2,X0,X1] :
( int_less(X0,X2)
| ~ int_less(X1,X2)
| ~ int_less(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( int_less(X0,X2)
| ~ int_less(X1,X2)
| ~ int_less(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( int_less(X0,X2)
| ~ int_less(X1,X2)
| ~ int_less(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( int_less(X1,X2)
& int_less(X0,X1) )
=> int_less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_transitive) ).
fof(f211,plain,
spl6_25,
inference(avatar_split_clause,[],[f64,f209]) ).
fof(f64,plain,
! [X0,X1] :
( X0 = X1
| int_less(X0,X1)
| ~ int_leq(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( int_leq(X0,X1)
| ( X0 != X1
& ~ int_less(X0,X1) ) )
& ( X0 = X1
| int_less(X0,X1)
| ~ int_leq(X0,X1) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( int_leq(X0,X1)
| ( X0 != X1
& ~ int_less(X0,X1) ) )
& ( X0 = X1
| int_less(X0,X1)
| ~ int_leq(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( int_leq(X0,X1)
<=> ( X0 = X1
| int_less(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_leq) ).
fof(f198,plain,
( spl6_24
| ~ spl6_2
| ~ spl6_18 ),
inference(avatar_split_clause,[],[f171,f159,f79,f195]) ).
fof(f171,plain,
( int_less(int_zero,sK3)
| ~ spl6_2
| ~ spl6_18 ),
inference(resolution,[],[f160,f81]) ).
fof(f193,plain,
spl6_23,
inference(avatar_split_clause,[],[f72,f191]) ).
fof(f72,plain,
! [X2,X0] :
( int_less(X0,plus(X0,X2))
| ~ int_less(int_zero,X2) ),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( int_less(X0,X1)
| ~ int_less(int_zero,X2)
| plus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f39]) ).
fof(f189,plain,
spl6_22,
inference(avatar_split_clause,[],[f62,f187]) ).
fof(f62,plain,
! [X0,X1] :
( int_less(int_zero,sK5(X0,X1))
| ~ int_less(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f181,plain,
spl6_21,
inference(avatar_split_clause,[],[f58,f179]) ).
fof(f58,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_commutative) ).
fof(f169,plain,
spl6_20,
inference(avatar_split_clause,[],[f65,f167]) ).
fof(f65,plain,
! [X0,X1] :
( int_leq(X0,X1)
| ~ int_less(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f165,plain,
spl6_19,
inference(avatar_split_clause,[],[f59,f163]) ).
fof(f59,plain,
! [X0,X1] :
( int_leq(X1,X0)
| int_less(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( int_leq(X1,X0)
| int_less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_total) ).
fof(f161,plain,
spl6_18,
inference(avatar_split_clause,[],[f57,f159]) ).
fof(f57,plain,
! [X0] :
( int_less(int_zero,X0)
| ~ int_leq(int_one,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( int_less(int_zero,X0)
| ~ int_leq(int_one,X0) )
& ( int_leq(int_one,X0)
| ~ int_less(int_zero,X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( int_less(int_zero,X0)
<=> int_leq(int_one,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_successor_of_zero) ).
fof(f157,plain,
spl6_17,
inference(avatar_split_clause,[],[f56,f155]) ).
fof(f56,plain,
! [X0] :
( int_leq(int_one,X0)
| ~ int_less(int_zero,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f153,plain,
( ~ spl6_1
| ~ spl6_16 ),
inference(avatar_split_clause,[],[f45,f150,f75]) ).
fof(f75,plain,
( spl6_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f45,plain,
( real_zero != a(sK1,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( real_zero != a(sK1,sK2)
& int_leq(sK2,n)
& int_less(sK1,sK2)
& int_leq(int_one,sK1) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f30,f31]) ).
fof(f31,plain,
( ? [X0,X1] :
( real_zero != a(X0,X1)
& int_leq(X1,n)
& int_less(X0,X1)
& int_leq(int_one,X0) )
=> ( real_zero != a(sK1,sK2)
& int_leq(sK2,n)
& int_less(sK1,sK2)
& int_leq(int_one,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X0,X1] :
( real_zero != a(X0,X1)
& int_leq(X1,n)
& int_less(X0,X1)
& int_leq(int_one,X0) )
| ~ sP0 ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
( ? [X2,X3] :
( real_zero != a(X2,X3)
& int_leq(X3,n)
& int_less(X2,X3)
& int_leq(int_one,X2) )
| ~ sP0 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ? [X2,X3] :
( real_zero != a(X2,X3)
& int_leq(X3,n)
& int_less(X2,X3)
& int_leq(int_one,X2) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f148,plain,
spl6_15,
inference(avatar_split_clause,[],[f55,f146]) ).
fof(f55,plain,
! [X0] : plus(X0,int_zero) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : plus(X0,int_zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_zero) ).
fof(f144,plain,
( spl6_14
| ~ spl6_3
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f121,f112,f84,f141]) ).
fof(f121,plain,
( int_leq(sK3,n)
| ~ spl6_3
| ~ spl6_9 ),
inference(superposition,[],[f86,f114]) ).
fof(f139,plain,
( spl6_12
| ~ spl6_9
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f138,f123,f112,f129]) ).
fof(f138,plain,
( real_zero = a(sK3,sK3)
| ~ spl6_9
| ~ spl6_11 ),
inference(forward_demodulation,[],[f125,f114]) ).
fof(f137,plain,
( ~ spl6_1
| spl6_13 ),
inference(avatar_split_clause,[],[f44,f134,f75]) ).
fof(f44,plain,
( int_leq(sK2,n)
| ~ sP0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f132,plain,
( ~ spl6_12
| ~ spl6_9
| spl6_11 ),
inference(avatar_split_clause,[],[f127,f123,f112,f129]) ).
fof(f127,plain,
( real_zero != a(sK3,sK3)
| ~ spl6_9
| spl6_11 ),
inference(forward_demodulation,[],[f124,f114]) ).
fof(f124,plain,
( real_zero != a(sK3,sK4)
| spl6_11 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f126,plain,
( spl6_1
| spl6_11 ),
inference(avatar_split_clause,[],[f49,f123,f75]) ).
fof(f49,plain,
( real_zero = a(sK3,sK4)
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( real_zero = a(sK3,sK4)
& sK3 = sK4
& int_leq(sK4,n)
& int_leq(int_one,sK3) )
| sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f28,f33]) ).
fof(f33,plain,
( ? [X0,X1] :
( real_zero = a(X0,X1)
& X0 = X1
& int_leq(X1,n)
& int_leq(int_one,X0) )
=> ( real_zero = a(sK3,sK4)
& sK3 = sK4
& int_leq(sK4,n)
& int_leq(int_one,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X0,X1] :
( real_zero = a(X0,X1)
& X0 = X1
& int_leq(X1,n)
& int_leq(int_one,X0) )
| sP0 ),
inference(definition_folding,[],[f19,f27]) ).
fof(f19,plain,
( ? [X0,X1] :
( real_zero = a(X0,X1)
& X0 = X1
& int_leq(X1,n)
& int_leq(int_one,X0) )
| ? [X2,X3] :
( real_zero != a(X2,X3)
& int_leq(X3,n)
& int_less(X2,X3)
& int_leq(int_one,X2) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
( ? [X0,X1] :
( real_zero = a(X0,X1)
& X0 = X1
& int_leq(X1,n)
& int_leq(int_one,X0) )
| ? [X2,X3] :
( real_zero != a(X2,X3)
& int_leq(X3,n)
& int_less(X2,X3)
& int_leq(int_one,X2) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ( ! [X0,X1] :
( ( X0 = X1
& int_leq(X1,n)
& int_leq(int_one,X0) )
=> real_zero != a(X0,X1) )
& ! [X2,X3] :
( ( int_leq(X3,n)
& int_less(X2,X3)
& int_leq(int_one,X2) )
=> real_zero = a(X2,X3) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ( ! [X0,X1] :
( ( X0 = X1
& int_leq(X1,n)
& int_leq(int_one,X0) )
=> real_zero != a(X0,X1) )
& ! [X0,X1] :
( ( int_leq(X1,n)
& int_less(X0,X1)
& int_leq(int_one,X0) )
=> real_zero = a(X0,X1) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
( ! [X0,X1] :
( ( X0 = X1
& int_leq(X1,n)
& int_leq(int_one,X0) )
=> real_zero != a(X0,X1) )
& ! [X0,X1] :
( ( int_leq(X1,n)
& int_less(X0,X1)
& int_leq(int_one,X0) )
=> real_zero = a(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lti) ).
fof(f120,plain,
( ~ spl6_1
| spl6_10 ),
inference(avatar_split_clause,[],[f43,f117,f75]) ).
fof(f43,plain,
( int_less(sK1,sK2)
| ~ sP0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f115,plain,
( spl6_1
| spl6_9 ),
inference(avatar_split_clause,[],[f48,f112,f75]) ).
fof(f48,plain,
( sK3 = sK4
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f110,plain,
( ~ spl6_1
| spl6_8 ),
inference(avatar_split_clause,[],[f42,f107,f75]) ).
fof(f42,plain,
( int_leq(int_one,sK1)
| ~ sP0 ),
inference(cnf_transformation,[],[f32]) ).
fof(f105,plain,
spl6_7,
inference(avatar_split_clause,[],[f73,f103]) ).
fof(f73,plain,
! [X1] : int_leq(X1,X1),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( int_leq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f101,plain,
spl6_6,
inference(avatar_split_clause,[],[f71,f99]) ).
fof(f71,plain,
! [X1] : ~ int_less(X1,X1),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( X0 != X1
| ~ int_less(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( X0 != X1
| ~ int_less(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( int_less(X0,X1)
=> X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_less_irreflexive) ).
fof(f97,plain,
spl6_5,
inference(avatar_split_clause,[],[f54,f94]) ).
fof(f54,plain,
int_less(int_zero,int_one),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
int_less(int_zero,int_one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',int_zero_one) ).
fof(f92,plain,
~ spl6_4,
inference(avatar_split_clause,[],[f53,f89]) ).
fof(f53,plain,
real_zero != real_one,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
real_zero != real_one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_constants) ).
fof(f87,plain,
( spl6_1
| spl6_3 ),
inference(avatar_split_clause,[],[f47,f84,f75]) ).
fof(f47,plain,
( int_leq(sK4,n)
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f82,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f46,f79,f75]) ).
fof(f46,plain,
( int_leq(int_one,sK3)
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV492+1 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 09:16:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (10496)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (10499)WARNING: value z3 for option sas not known
% 0.15/0.32 % (10499)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)
% 0.15/0.32 % (10498)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (10502)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)
% 0.15/0.32 % (10504)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)
% 0.15/0.32 % (10503)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)
% 0.15/0.32 % (10500)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (10497)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [4]
% 0.15/0.34 TRYING [3]
% 0.15/0.35 TRYING [5]
% 0.15/0.36 TRYING [4]
% 0.15/0.37 TRYING [6]
% 0.15/0.40 TRYING [5]
% 0.15/0.41 TRYING [7]
% 0.15/0.48 TRYING [8]
% 2.17/0.62 TRYING [9]
% 2.31/0.65 TRYING [6]
% 3.93/0.87 TRYING [10]
% 6.50/1.26 TRYING [11]
% 7.49/1.42 TRYING [1]
% 7.49/1.42 TRYING [2]
% 7.49/1.43 TRYING [3]
% 7.49/1.43 TRYING [4]
% 7.49/1.44 TRYING [5]
% 8.15/1.47 TRYING [6]
% 8.57/1.52 TRYING [7]
% 9.12/1.62 TRYING [8]
% 10.54/1.81 TRYING [9]
% 11.31/1.95 TRYING [12]
% 12.78/2.13 TRYING [10]
% 16.00/2.67 TRYING [11]
% 19.57/3.18 TRYING [13]
% 21.68/3.48 % (10502)First to succeed.
% 22.55/3.52 TRYING [12]
% 22.55/3.53 % (10502)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10496"
% 22.55/3.53 % (10502)Refutation found. Thanks to Tanya!
% 22.55/3.53 % SZS status Theorem for theBenchmark
% 22.55/3.53 % SZS output start Proof for theBenchmark
% See solution above
% 22.55/3.56 % (10502)------------------------------
% 22.55/3.56 % (10502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 22.55/3.56 % (10502)Termination reason: Refutation
% 22.55/3.56
% 22.55/3.56 % (10502)Memory used [KB]: 13933
% 22.55/3.56 % (10502)Time elapsed: 3.207 s
% 22.55/3.56 % (10502)Instructions burned: 6842 (million)
% 22.55/3.56 % (10496)Success in time 3.236 s
%------------------------------------------------------------------------------