TSTP Solution File: RNG001-4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG001-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:54:34 EDT 2024
% Result : Unsatisfiable 34.41s 5.29s
% Output : Refutation 34.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 728
% Syntax : Number of formulae : 2360 ( 28 unt; 0 def)
% Number of atoms : 8721 ( 537 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 12015 (5654 ~;5653 |; 0 &)
% ( 708 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 712 ( 710 usr; 709 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 6030 (6030 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48234,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f29,f33,f37,f41,f45,f49,f53,f62,f66,f70,f74,f89,f98,f102,f106,f110,f126,f136,f140,f144,f152,f156,f160,f164,f184,f188,f192,f196,f200,f204,f209,f233,f237,f241,f245,f268,f272,f276,f280,f298,f316,f320,f324,f328,f357,f361,f365,f369,f373,f390,f394,f398,f402,f406,f440,f444,f466,f492,f496,f507,f511,f515,f519,f523,f527,f531,f535,f539,f543,f547,f551,f793,f797,f801,f805,f809,f813,f817,f961,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1102,f1339,f1343,f1347,f1351,f1355,f1359,f1363,f1559,f1563,f1567,f1571,f1575,f1634,f1638,f1642,f1646,f1650,f1654,f1658,f1662,f1666,f1682,f1692,f1729,f1736,f1868,f1872,f1876,f1880,f1884,f1888,f1892,f1896,f1900,f1904,f1908,f1912,f1916,f1920,f1924,f1928,f1932,f1936,f1940,f1944,f1948,f1952,f2448,f2636,f2640,f2644,f2648,f2652,f2656,f2660,f2664,f2668,f2672,f2676,f2680,f2684,f2688,f2692,f2696,f2773,f2777,f2781,f2785,f2789,f2793,f2797,f2801,f2805,f2809,f2892,f2896,f2900,f2904,f2908,f2912,f2916,f2920,f2924,f2928,f2932,f2936,f2940,f2944,f2948,f2952,f2956,f2960,f3062,f3422,f3927,f5058,f5119,f5123,f5127,f5131,f5135,f5139,f5143,f5147,f5151,f5155,f5234,f5238,f5242,f5246,f5250,f5254,f5258,f5262,f5266,f5270,f5328,f5332,f5336,f5340,f5344,f5348,f5352,f5356,f5360,f5364,f5368,f5372,f5376,f5380,f5384,f5388,f5392,f5396,f5400,f5404,f5408,f5412,f5416,f5420,f5424,f5428,f5432,f5436,f5440,f5444,f5448,f5452,f5507,f5511,f6503,f7365,f8394,f9249,f9586,f9590,f9594,f9598,f9602,f9606,f9610,f9614,f9618,f9622,f9626,f9630,f9634,f9638,f9642,f9646,f9650,f9654,f9658,f9662,f9666,f9670,f9674,f9678,f9682,f9686,f9690,f9756,f9760,f9764,f9768,f9772,f9776,f9781,f9785,f9789,f9793,f9827,f9832,f9837,f9842,f9846,f9850,f9854,f9858,f9862,f9866,f9893,f9897,f9901,f9905,f9909,f9913,f9917,f12194,f13761,f13765,f13769,f13773,f13777,f13781,f13785,f13789,f13793,f13797,f13801,f13805,f13809,f13813,f13817,f13821,f13825,f13829,f13833,f13837,f13841,f13845,f13849,f13853,f13857,f13861,f13865,f13869,f13873,f13877,f13881,f13885,f13889,f13893,f13897,f13901,f13905,f13909,f13913,f13917,f13921,f13925,f13929,f13933,f13937,f13941,f13945,f13949,f13953,f13957,f13961,f13965,f13969,f13973,f13977,f14290,f14945,f15651,f16434,f18860,f18864,f18868,f18872,f18876,f18880,f18884,f18888,f18892,f18896,f18900,f18904,f18908,f18912,f18916,f18920,f19125,f19129,f19133,f19137,f19141,f19145,f19149,f19153,f19157,f19161,f19353,f19357,f19361,f19365,f19369,f19373,f19377,f19381,f19385,f19389,f19569,f19573,f19577,f19582,f19588,f19715,f19719,f19723,f19727,f19913,f19917,f19921,f19925,f19929,f19933,f19937,f19941,f19945,f23659,f24503,f24629,f24633,f24637,f24641,f24645,f24649,f24653,f24657,f24661,f24665,f24669,f24673,f24677,f24681,f24685,f24689,f24693,f24697,f24701,f24705,f24709,f24713,f24717,f24721,f24725,f24729,f24733,f24737,f24742,f24746,f24750,f24819,f24824,f24828,f24832,f24836,f24840,f24844,f24849,f24854,f24859,f25079,f25083,f25087,f25091,f25095,f25099,f25103,f26824,f27721,f27879,f28135,f29142,f29146,f29150,f29154,f31098,f31102,f31106,f31110,f31114,f31118,f31122,f31126,f31130,f31134,f31138,f31142,f31146,f31150,f31154,f31158,f31162,f31166,f31170,f31175,f31180,f31184,f31188,f31193,f31197,f31202,f31206,f32071,f32848,f32852,f32856,f33102,f33106,f33629,f33717,f33721,f33725,f33729,f33733,f33737,f33741,f33745,f33749,f33753,f33757,f33761,f33765,f33769,f33773,f33777,f33781,f33785,f33790,f33795,f33799,f33803,f33807,f33811,f33815,f33820,f34192,f35415,f35544,f35548,f36029,f36033,f36126,f36659,f36663,f36667,f36671,f36675,f36679,f36683,f36687,f36691,f36695,f36699,f36703,f36707,f36711,f36715,f36719,f36723,f36727,f36732,f36736,f36742,f36746,f36750,f36754,f36758,f36764,f36768,f36773,f36778,f36783,f37779,f38584,f38588,f38614,f38822,f39018,f39022,f39026,f39476,f40042,f40046,f40050,f40054,f40058,f40062,f40066,f40070,f40074,f40078,f40082,f40086,f40090,f40094,f40098,f40204,f41180,f41286,f41290,f41294,f41298,f41302,f41306,f41310,f41314,f41318,f41322,f41326,f41330,f41335,f41340,f41344,f41348,f41352,f41356,f41360,f41364,f41368,f41372,f41376,f41380,f41384,f41388,f41392,f41424,f42021,f42025,f42043,f42416,f42675,f42679,f42683,f42687,f42727,f42743,f42747,f42751,f42756,f42761,f42765,f42769,f42773,f42777,f42781,f42785,f42807,f42811,f42913,f42949,f42953,f42957,f42961,f42965,f42969,f42973,f42977,f43198,f43202,f43215,f43228,f43232,f43236,f43240,f43244,f43248,f43252,f43256,f43260,f43264,f43268,f43272,f45347,f47785,f47868,f47872,f47876,f47880,f47884,f47888,f47892,f47896,f47900,f47904,f47908,f47912,f47916,f47920,f47924,f47928,f47932,f47936,f47940,f47944,f48056,f48060,f48064,f48068,f48072,f48076,f48080,f48084,f48088,f48092,f48096,f48100,f48104,f48108,f48112,f48116,f48120,f48124,f48128,f48132,f48136,f48182]) ).
fof(f48182,plain,
( spl0_1
| ~ spl0_698 ),
inference(avatar_contradiction_clause,[],[f48137]) ).
fof(f48137,plain,
( $false
| spl0_1
| ~ spl0_698 ),
inference(resolution,[],[f48095,f24]) ).
fof(f24,plain,
( ~ product(a,additive_identity,additive_identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_1
<=> product(a,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f48095,plain,
( ! [X0] : product(X0,additive_identity,additive_identity)
| ~ spl0_698 ),
inference(avatar_component_clause,[],[f48094]) ).
fof(f48094,plain,
( spl0_698
<=> ! [X0] : product(X0,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f48136,plain,
( spl0_708
| ~ spl0_53
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f4723,f2942,f396,f48134]) ).
fof(f48134,plain,
( spl0_708
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_inverse(X1),additive_inverse(X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f396,plain,
( spl0_53
<=> ! [X0] : additive_inverse(additive_inverse(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f2942,plain,
( spl0_176
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X1),X0,additive_identity)
| sum(additive_inverse(X0),X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f4723,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_inverse(X1),additive_inverse(X0),additive_identity) )
| ~ spl0_53
| ~ spl0_176 ),
inference(superposition,[],[f2943,f397]) ).
fof(f397,plain,
( ! [X0] : additive_inverse(additive_inverse(X0)) = X0
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f2943,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X1),X0,additive_identity)
| sum(additive_inverse(X0),X1,additive_identity) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f2942]) ).
fof(f48132,plain,
( spl0_707
| ~ spl0_8
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f4614,f2934,f51,f48130]) ).
fof(f48130,plain,
( spl0_707
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(additive_identity,add(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f51,plain,
( spl0_8
<=> ! [X0,X1,X3] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2934,plain,
( spl0_174
<=> ! [X0,X1] :
( sum(add(X1,X0),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f4614,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(additive_identity,add(X1,X0),X1) )
| ~ spl0_8
| ~ spl0_174 ),
inference(resolution,[],[f2935,f52]) ).
fof(f52,plain,
( ! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f2935,plain,
( ! [X0,X1] :
( sum(add(X1,X0),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f48128,plain,
( spl0_706
| ~ spl0_53
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f4582,f2926,f396,f48126]) ).
fof(f48126,plain,
( spl0_706
<=> ! [X0,X1] :
( ~ sum(X1,additive_identity,add(X0,X1))
| additive_identity = additive_inverse(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f2926,plain,
( spl0_172
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,add(additive_inverse(X1),X0))
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f4582,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_identity,add(X0,X1))
| additive_identity = additive_inverse(X0) )
| ~ spl0_53
| ~ spl0_172 ),
inference(superposition,[],[f2927,f397]) ).
fof(f2927,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,add(additive_inverse(X1),X0))
| additive_identity = X1 )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f2926]) ).
fof(f48124,plain,
( spl0_705
| ~ spl0_8
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f4531,f2922,f51,f48122]) ).
fof(f48122,plain,
( spl0_705
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(additive_identity,add(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f2922,plain,
( spl0_171
<=> ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f4531,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(additive_identity,add(X0,X1),X1) )
| ~ spl0_8
| ~ spl0_171 ),
inference(resolution,[],[f2923,f52]) ).
fof(f2923,plain,
( ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f2922]) ).
fof(f48120,plain,
( spl0_704
| ~ spl0_53
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f4431,f2918,f396,f48118]) ).
fof(f48118,plain,
( spl0_704
<=> ! [X0,X1] :
( ~ sum(X1,additive_identity,add(X1,X0))
| additive_identity = additive_inverse(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f2918,plain,
( spl0_170
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,additive_inverse(X1)))
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f4431,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_identity,add(X1,X0))
| additive_identity = additive_inverse(X0) )
| ~ spl0_53
| ~ spl0_170 ),
inference(superposition,[],[f2919,f397]) ).
fof(f2919,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,additive_inverse(X1)))
| additive_identity = X1 )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f48116,plain,
( spl0_703
| ~ spl0_26
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f4353,f2910,f182,f48114]) ).
fof(f48114,plain,
( spl0_703
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_identity = add(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f182,plain,
( spl0_26
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_inverse(X1),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2910,plain,
( spl0_168
<=> ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(additive_identity,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f4353,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_identity = add(X1,X0) )
| ~ spl0_26
| ~ spl0_168 ),
inference(resolution,[],[f2911,f183]) ).
fof(f183,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X1),X1,X0)
| additive_identity = X0 )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f2911,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(additive_identity,X0,X2) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f2910]) ).
fof(f48112,plain,
( spl0_702
| ~ spl0_113
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f4328,f2910,f1734,f48110]) ).
fof(f48110,plain,
( spl0_702
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,add(additive_inverse(X1),X0))
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f1734,plain,
( spl0_113
<=> ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),X0)
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f4328,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,add(additive_inverse(X1),X0))
| additive_identity = X1 )
| ~ spl0_113
| ~ spl0_168 ),
inference(resolution,[],[f2911,f1735]) ).
fof(f1735,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),X0)
| additive_identity = X1 )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f48108,plain,
( spl0_701
| ~ spl0_103
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f4299,f2910,f1640,f48106]) ).
fof(f48106,plain,
( spl0_701
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,add(X1,X0))
| additive_identity = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f1640,plain,
( spl0_103
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f4299,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,add(X1,X0))
| additive_identity = additive_inverse(X1) )
| ~ spl0_103
| ~ spl0_168 ),
inference(resolution,[],[f2911,f1641]) ).
fof(f1641,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = additive_inverse(X1) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f48104,plain,
( spl0_700
| ~ spl0_58
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f4224,f2898,f464,f48102]) ).
fof(f48102,plain,
( spl0_700
<=> ! [X2,X0,X1] :
( sum(X1,X2,add(X1,X0))
| ~ sum(additive_identity,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f464,plain,
( spl0_58
<=> ! [X0,X1] : add(X0,X1) = add(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2898,plain,
( spl0_165
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X2,X1,add(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f4224,plain,
( ! [X2,X0,X1] :
( sum(X1,X2,add(X1,X0))
| ~ sum(additive_identity,X0,X2) )
| ~ spl0_58
| ~ spl0_165 ),
inference(superposition,[],[f2899,f465]) ).
fof(f465,plain,
( ! [X0,X1] : add(X0,X1) = add(X1,X0)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f2899,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X0,X2))
| ~ sum(additive_identity,X0,X1) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f2898]) ).
fof(f48100,plain,
( spl0_699
| ~ spl0_60
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f4167,f2898,f494,f48098]) ).
fof(f48098,plain,
( spl0_699
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,add(X0,X1))
| sum(X1,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f494,plain,
( spl0_60
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f4167,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,add(X0,X1))
| sum(X1,additive_identity,additive_identity) )
| ~ spl0_60
| ~ spl0_165 ),
inference(resolution,[],[f2899,f495]) ).
fof(f495,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f48096,plain,
( spl0_698
| ~ spl0_6
| ~ spl0_667 ),
inference(avatar_split_clause,[],[f47945,f47783,f43,f48094]) ).
fof(f43,plain,
( spl0_6
<=> ! [X0,X1] : product(X0,X1,multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f47783,plain,
( spl0_667
<=> ! [X0] : additive_identity = multiply(X0,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f47945,plain,
( ! [X0] : product(X0,additive_identity,additive_identity)
| ~ spl0_6
| ~ spl0_667 ),
inference(superposition,[],[f44,f47784]) ).
fof(f47784,plain,
( ! [X0] : additive_identity = multiply(X0,additive_identity)
| ~ spl0_667 ),
inference(avatar_component_clause,[],[f47783]) ).
fof(f44,plain,
( ! [X0,X1] : product(X0,X1,multiply(X0,X1))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f48092,plain,
( spl0_697
| ~ spl0_111
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f4165,f2898,f1690,f48090]) ).
fof(f48090,plain,
( spl0_697
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,add(X0,X1))
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f1690,plain,
( spl0_111
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f4165,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,add(X0,X1))
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_111
| ~ spl0_165 ),
inference(resolution,[],[f2899,f1691]) ).
fof(f1691,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f48088,plain,
( spl0_696
| ~ spl0_98
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f4114,f2894,f1565,f48086]) ).
fof(f48086,plain,
( spl0_696
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(add(X1,X0),additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f1565,plain,
( spl0_98
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f2894,plain,
( spl0_164
<=> ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(X2,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f4114,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(add(X1,X0),additive_identity,X1) )
| ~ spl0_98
| ~ spl0_164 ),
inference(resolution,[],[f2895,f1566]) ).
fof(f1566,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,additive_identity,X0) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f2895,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(X2,additive_identity,X0) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f2894]) ).
fof(f48084,plain,
( spl0_695
| ~ spl0_58
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3989,f2803,f464,f48082]) ).
fof(f48082,plain,
( spl0_695
<=> ! [X2,X0,X1] :
( sum(X1,X2,add(X1,X0))
| ~ sum(X2,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f2803,plain,
( spl0_161
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,X0,add(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f3989,plain,
( ! [X2,X0,X1] :
( sum(X1,X2,add(X1,X0))
| ~ sum(X2,additive_identity,X0) )
| ~ spl0_58
| ~ spl0_161 ),
inference(superposition,[],[f2804,f465]) ).
fof(f2804,plain,
( ! [X2,X0,X1] :
( sum(X2,X0,add(X1,X2))
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f2803]) ).
fof(f48080,plain,
( spl0_694
| ~ spl0_93
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3933,f2803,f1353,f48078]) ).
fof(f48078,plain,
( spl0_694
<=> ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f1353,plain,
( spl0_93
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f3933,plain,
( ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_93
| ~ spl0_161 ),
inference(resolution,[],[f2804,f1354]) ).
fof(f1354,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f48076,plain,
( spl0_693
| ~ spl0_111
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f3932,f2803,f1690,f48074]) ).
fof(f48074,plain,
( spl0_693
<=> ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f3932,plain,
( ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_111
| ~ spl0_161 ),
inference(resolution,[],[f2804,f1691]) ).
fof(f48072,plain,
( spl0_692
| ~ spl0_8
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3771,f2791,f51,f48070]) ).
fof(f48070,plain,
( spl0_692
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X2,add(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f2791,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X1,X0),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f3771,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X2,add(X1,X0),X2) )
| ~ spl0_8
| ~ spl0_158 ),
inference(resolution,[],[f2792,f52]) ).
fof(f2792,plain,
( ! [X2,X0,X1] :
( sum(add(X1,X0),X2,X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f2791]) ).
fof(f48068,plain,
( spl0_691
| ~ spl0_8
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f3606,f2779,f51,f48066]) ).
fof(f48066,plain,
( spl0_691
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X2,add(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f2779,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X0,X1),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f3606,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X2,add(X0,X1),X2) )
| ~ spl0_8
| ~ spl0_155 ),
inference(resolution,[],[f2780,f52]) ).
fof(f2780,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),X2,X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f48064,plain,
( spl0_690
| ~ spl0_53
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f3399,f2686,f396,f48062]) ).
fof(f48062,plain,
( spl0_690
<=> ! [X2,X0,X1] :
( ~ sum(add(X0,X1),additive_inverse(X0),X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f2686,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( ~ sum(add(additive_inverse(X0),X1),X0,X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f3399,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,X1),additive_inverse(X0),X2)
| X1 = X2 )
| ~ spl0_53
| ~ spl0_150 ),
inference(superposition,[],[f2687,f397]) ).
fof(f2687,plain,
( ! [X2,X0,X1] :
( ~ sum(add(additive_inverse(X0),X1),X0,X2)
| X1 = X2 )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f2686]) ).
fof(f48060,plain,
( spl0_689
| ~ spl0_53
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f3314,f2678,f396,f48058]) ).
fof(f48058,plain,
( spl0_689
<=> ! [X2,X0,X1] :
( ~ sum(add(X1,X0),additive_inverse(X0),X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f2678,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( ~ sum(add(X0,additive_inverse(X1)),X1,X2)
| X0 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f3314,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X1,X0),additive_inverse(X0),X2)
| X1 = X2 )
| ~ spl0_53
| ~ spl0_148 ),
inference(superposition,[],[f2679,f397]) ).
fof(f2679,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,additive_inverse(X1)),X1,X2)
| X0 = X2 )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f2678]) ).
fof(f48056,plain,
( spl0_688
| ~ spl0_53
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2969,f2634,f396,f48054]) ).
fof(f48054,plain,
( spl0_688
<=> ! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| sum(additive_inverse(X1),additive_identity,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f2634,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_inverse(X0),additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f2969,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| sum(additive_inverse(X1),additive_identity,additive_inverse(X0)) )
| ~ spl0_53
| ~ spl0_137 ),
inference(superposition,[],[f2635,f397]) ).
fof(f2635,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_inverse(X0),additive_identity,X1) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f47944,plain,
( spl0_687
| ~ spl0_126
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2618,f1950,f1914,f47942]) ).
fof(f47942,plain,
( spl0_687
<=> ! [X2,X0,X1] :
( add(X0,X1) = X0
| ~ sum(additive_inverse(X2),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f1914,plain,
( spl0_126
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_inverse(X1),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1950,plain,
( spl0_135
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| add(X2,X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f2618,plain,
( ! [X2,X0,X1] :
( add(X0,X1) = X0
| ~ sum(additive_inverse(X2),X2,X1) )
| ~ spl0_126
| ~ spl0_135 ),
inference(resolution,[],[f1951,f1915]) ).
fof(f1915,plain,
( ! [X2,X0,X1] :
( sum(additive_inverse(X1),X2,X0)
| ~ sum(X0,X1,X2) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f1951,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| add(X2,X1) = X2 )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f47940,plain,
( spl0_686
| ~ spl0_72
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2612,f1950,f549,f47938]) ).
fof(f47938,plain,
( spl0_686
<=> ! [X2,X0,X1] :
( add(X0,additive_inverse(X1)) = X0
| ~ sum(X2,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f549,plain,
( spl0_72
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f2612,plain,
( ! [X2,X0,X1] :
( add(X0,additive_inverse(X1)) = X0
| ~ sum(X2,X1,X2) )
| ~ spl0_72
| ~ spl0_135 ),
inference(resolution,[],[f1951,f550]) ).
fof(f550,plain,
( ! [X2,X0,X1] :
( sum(X2,additive_inverse(X1),X0)
| ~ sum(X0,X1,X2) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f47936,plain,
( spl0_685
| ~ spl0_71
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f2608,f1950,f545,f47934]) ).
fof(f47934,plain,
( spl0_685
<=> ! [X0,X1] :
( add(X0,X1) = X0
| ~ sum(additive_identity,additive_identity,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f545,plain,
( spl0_71
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_inverse(X1),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f2608,plain,
( ! [X0,X1] :
( add(X0,X1) = X0
| ~ sum(additive_identity,additive_identity,additive_inverse(X1)) )
| ~ spl0_71
| ~ spl0_135 ),
inference(resolution,[],[f1951,f546]) ).
fof(f546,plain,
( ! [X0,X1] :
( sum(additive_inverse(X1),X1,X0)
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f47932,plain,
( spl0_684
| ~ spl0_126
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2591,f1946,f1914,f47930]) ).
fof(f47930,plain,
( spl0_684
<=> ! [X2,X0,X1] :
( add(X0,X1) = X1
| ~ sum(additive_inverse(X2),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f1946,plain,
( spl0_134
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| add(X1,X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f2591,plain,
( ! [X2,X0,X1] :
( add(X0,X1) = X1
| ~ sum(additive_inverse(X2),X2,X0) )
| ~ spl0_126
| ~ spl0_134 ),
inference(resolution,[],[f1947,f1915]) ).
fof(f1947,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| add(X1,X2) = X2 )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1946]) ).
fof(f47928,plain,
( spl0_683
| ~ spl0_72
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2585,f1946,f549,f47926]) ).
fof(f47926,plain,
( spl0_683
<=> ! [X2,X0,X1] :
( add(additive_inverse(X0),X1) = X1
| ~ sum(X2,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f2585,plain,
( ! [X2,X0,X1] :
( add(additive_inverse(X0),X1) = X1
| ~ sum(X2,X0,X2) )
| ~ spl0_72
| ~ spl0_134 ),
inference(resolution,[],[f1947,f550]) ).
fof(f47924,plain,
( spl0_682
| ~ spl0_71
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2581,f1946,f545,f47922]) ).
fof(f47922,plain,
( spl0_682
<=> ! [X0,X1] :
( add(X0,X1) = X1
| ~ sum(additive_identity,additive_identity,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f2581,plain,
( ! [X0,X1] :
( add(X0,X1) = X1
| ~ sum(additive_identity,additive_identity,additive_inverse(X0)) )
| ~ spl0_71
| ~ spl0_134 ),
inference(resolution,[],[f1947,f546]) ).
fof(f47920,plain,
( spl0_681
| ~ spl0_121
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2450,f1934,f1894,f47918]) ).
fof(f47918,plain,
( spl0_681
<=> ! [X0,X1] :
( add(X0,additive_inverse(X1)) = X0
| ~ sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f1894,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_inverse(X1),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1934,plain,
( spl0_131
<=> ! [X0,X1] :
( add(X1,X0) = X1
| ~ sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f2450,plain,
( ! [X0,X1] :
( add(X0,additive_inverse(X1)) = X0
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_121
| ~ spl0_131 ),
inference(resolution,[],[f1935,f1895]) ).
fof(f1895,plain,
( ! [X0,X1] :
( sum(additive_inverse(X1),X0,additive_identity)
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1935,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| add(X1,X0) = X1 )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f47916,plain,
( spl0_680
| ~ spl0_121
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2432,f1930,f1894,f47914]) ).
fof(f47914,plain,
( spl0_680
<=> ! [X0,X1] :
( add(additive_inverse(X0),X1) = X1
| ~ sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f1930,plain,
( spl0_130
<=> ! [X0,X1] :
( add(X0,X1) = X1
| ~ sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f2432,plain,
( ! [X0,X1] :
( add(additive_inverse(X0),X1) = X1
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_121
| ~ spl0_130 ),
inference(resolution,[],[f1931,f1895]) ).
fof(f1931,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| add(X0,X1) = X1 )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f47912,plain,
( spl0_679
| ~ spl0_121
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2376,f1918,f1894,f47910]) ).
fof(f47910,plain,
( spl0_679
<=> ! [X0,X1] :
( sum(additive_identity,X0,additive_inverse(X1))
| ~ sum(additive_inverse(X0),additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f1918,plain,
( spl0_127
<=> ! [X2,X0,X1] :
( sum(X1,X0,X2)
| ~ sum(X2,additive_inverse(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f2376,plain,
( ! [X0,X1] :
( sum(additive_identity,X0,additive_inverse(X1))
| ~ sum(additive_inverse(X0),additive_identity,X1) )
| ~ spl0_121
| ~ spl0_127 ),
inference(resolution,[],[f1919,f1895]) ).
fof(f1919,plain,
( ! [X2,X0,X1] :
( ~ sum(X2,additive_inverse(X0),X1)
| sum(X1,X0,X2) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f47908,plain,
( spl0_678
| ~ spl0_126
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2374,f1918,f1914,f47906]) ).
fof(f47906,plain,
( spl0_678
<=> ! [X2,X0,X1] :
( sum(X0,X1,additive_inverse(X2))
| ~ sum(X0,X2,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f2374,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,additive_inverse(X2))
| ~ sum(X0,X2,additive_inverse(X1)) )
| ~ spl0_126
| ~ spl0_127 ),
inference(resolution,[],[f1919,f1915]) ).
fof(f47904,plain,
( spl0_677
| ~ spl0_2
| ~ spl0_664 ),
inference(avatar_split_clause,[],[f47699,f43266,f27,f47902]) ).
fof(f47902,plain,
( spl0_677
<=> ! [X0] : additive_identity = multiply(additive_identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f27,plain,
( spl0_2
<=> ! [X0] : sum(additive_identity,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f43266,plain,
( spl0_664
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f47699,plain,
( ! [X0] : additive_identity = multiply(additive_identity,X0)
| ~ spl0_2
| ~ spl0_664 ),
inference(resolution,[],[f43267,f28]) ).
fof(f28,plain,
( ! [X0] : sum(additive_identity,X0,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f43267,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X1,X2) )
| ~ spl0_664 ),
inference(avatar_component_clause,[],[f43266]) ).
fof(f47900,plain,
( spl0_676
| ~ spl0_117
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2369,f1918,f1878,f47898]) ).
fof(f47898,plain,
( spl0_676
<=> ! [X0,X1] :
( sum(additive_inverse(X0),X0,additive_inverse(X1))
| ~ sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f1878,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(additive_inverse(X0),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2369,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X0,additive_inverse(X1))
| ~ sum(additive_identity,X1,additive_identity) )
| ~ spl0_117
| ~ spl0_127 ),
inference(resolution,[],[f1919,f1879]) ).
fof(f1879,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X1,X1)
| ~ sum(additive_identity,X0,additive_identity) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1878]) ).
fof(f47896,plain,
( spl0_675
| ~ spl0_87
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2314,f1914,f1068,f47894]) ).
fof(f47894,plain,
( spl0_675
<=> ! [X2,X0,X1] :
( ~ sum(X0,add(X1,X2),X1)
| sum(X0,X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f1068,plain,
( spl0_87
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(X2,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f2314,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,add(X1,X2),X1)
| sum(X0,X2,additive_identity) )
| ~ spl0_87
| ~ spl0_126 ),
inference(resolution,[],[f1915,f1069]) ).
fof(f1069,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(X2,X1,additive_identity) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f47892,plain,
( spl0_674
| ~ spl0_64
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2182,f1894,f517,f47890]) ).
fof(f47890,plain,
( spl0_674
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_inverse(X1),additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f517,plain,
( spl0_64
<=> ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f2182,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_inverse(X1),additive_identity,X0) )
| ~ spl0_64
| ~ spl0_121 ),
inference(resolution,[],[f1895,f518]) ).
fof(f518,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f47888,plain,
( spl0_673
| ~ spl0_87
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2152,f1894,f1068,f47886]) ).
fof(f47886,plain,
( spl0_673
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,X1))
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f2152,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,X1))
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_87
| ~ spl0_121 ),
inference(resolution,[],[f1895,f1069]) ).
fof(f47884,plain,
( spl0_672
| ~ spl0_114
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f2114,f1886,f1866,f47882]) ).
fof(f47882,plain,
( spl0_672
<=> ! [X0,X1] :
( sum(X0,additive_inverse(X1),additive_identity)
| ~ sum(additive_inverse(X0),X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f1866,plain,
( spl0_114
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1886,plain,
( spl0_119
<=> ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_identity,additive_inverse(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2114,plain,
( ! [X0,X1] :
( sum(X0,additive_inverse(X1),additive_identity)
| ~ sum(additive_inverse(X0),X1,additive_identity) )
| ~ spl0_114
| ~ spl0_119 ),
inference(resolution,[],[f1887,f1867]) ).
fof(f1867,plain,
( ! [X0,X1] :
( sum(additive_identity,X0,additive_inverse(X1))
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1887,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_inverse(X0),X1)
| sum(X0,X1,additive_identity) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f47880,plain,
( spl0_671
| ~ spl0_87
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2048,f1878,f1068,f47878]) ).
fof(f47878,plain,
( spl0_671
<=> ! [X0,X1] :
( ~ sum(additive_identity,add(X0,X1),additive_identity)
| sum(X0,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f2048,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,add(X0,X1),additive_identity)
| sum(X0,X1,additive_identity) )
| ~ spl0_87
| ~ spl0_117 ),
inference(resolution,[],[f1879,f1069]) ).
fof(f47876,plain,
( spl0_670
| ~ spl0_79
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1856,f1734,f815,f47874]) ).
fof(f47874,plain,
( spl0_670
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,X1,add(X1,additive_inverse(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f815,plain,
( spl0_79
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,X2,add(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1856,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,X1,add(X1,additive_inverse(X0))) )
| ~ spl0_79
| ~ spl0_113 ),
inference(resolution,[],[f1735,f816]) ).
fof(f816,plain,
( ! [X2,X0,X1] :
( sum(X1,X2,add(X0,X2))
| ~ sum(additive_identity,X0,X1) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f47872,plain,
( spl0_669
| ~ spl0_79
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f1786,f1640,f815,f47870]) ).
fof(f47870,plain,
( spl0_669
<=> ! [X0,X1] :
( additive_identity = additive_inverse(X0)
| ~ sum(additive_identity,X1,add(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f1786,plain,
( ! [X0,X1] :
( additive_identity = additive_inverse(X0)
| ~ sum(additive_identity,X1,add(X1,X0)) )
| ~ spl0_79
| ~ spl0_103 ),
inference(resolution,[],[f1641,f816]) ).
fof(f47868,plain,
( spl0_668
| ~ spl0_78
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1761,f1565,f811,f47866]) ).
fof(f47866,plain,
( spl0_668
<=> ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f811,plain,
( spl0_78
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,X2,add(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1761,plain,
( ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_78
| ~ spl0_98 ),
inference(resolution,[],[f1566,f812]) ).
fof(f812,plain,
( ! [X2,X0,X1] :
( sum(X0,X2,add(X1,X2))
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f47785,plain,
( spl0_667
| ~ spl0_2
| ~ spl0_662 ),
inference(avatar_split_clause,[],[f47544,f43258,f27,f47783]) ).
fof(f43258,plain,
( spl0_662
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f47544,plain,
( ! [X0] : additive_identity = multiply(X0,additive_identity)
| ~ spl0_2
| ~ spl0_662 ),
inference(resolution,[],[f43259,f28]) ).
fof(f43259,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X2,X1) )
| ~ spl0_662 ),
inference(avatar_component_clause,[],[f43258]) ).
fof(f45347,plain,
( spl0_666
| ~ spl0_53
| ~ spl0_72
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f44657,f36124,f549,f396,f45345]) ).
fof(f45345,plain,
( spl0_666
<=> ! [X0,X1] :
( sum(X0,additive_identity,additive_identity)
| ~ sum(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f36124,plain,
( spl0_535
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_inverse(X1),additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f44657,plain,
( ! [X0,X1] :
( sum(X0,additive_identity,additive_identity)
| ~ sum(X1,X0,X1) )
| ~ spl0_53
| ~ spl0_72
| ~ spl0_535 ),
inference(forward_demodulation,[],[f44591,f397]) ).
fof(f44591,plain,
( ! [X0,X1] :
( sum(additive_inverse(additive_inverse(X0)),additive_identity,additive_identity)
| ~ sum(X1,X0,X1) )
| ~ spl0_72
| ~ spl0_535 ),
inference(resolution,[],[f36125,f550]) ).
fof(f36125,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_inverse(X1),additive_identity,additive_identity) )
| ~ spl0_535 ),
inference(avatar_component_clause,[],[f36124]) ).
fof(f43272,plain,
( spl0_665
| ~ spl0_25
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f24398,f19935,f162,f43270]) ).
fof(f43270,plain,
( spl0_665
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f162,plain,
( spl0_25
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f19935,plain,
( spl0_408
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f24398,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X0,X2) )
| ~ spl0_25
| ~ spl0_408 ),
inference(resolution,[],[f19936,f163]) ).
fof(f163,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = X0 )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f19936,plain,
( ! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) )
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f19935]) ).
fof(f43268,plain,
( spl0_664
| ~ spl0_24
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f24393,f19935,f158,f43266]) ).
fof(f158,plain,
( spl0_24
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f24393,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X1,X2) )
| ~ spl0_24
| ~ spl0_408 ),
inference(resolution,[],[f19936,f159]) ).
fof(f159,plain,
( ! [X0,X1] :
( ~ sum(X1,X0,X1)
| additive_identity = X0 )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f43264,plain,
( spl0_663
| ~ spl0_25
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f24285,f19923,f162,f43262]) ).
fof(f43262,plain,
( spl0_663
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f19923,plain,
( spl0_405
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f24285,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X2,X0) )
| ~ spl0_25
| ~ spl0_405 ),
inference(resolution,[],[f19924,f163]) ).
fof(f19924,plain,
( ! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f19923]) ).
fof(f43260,plain,
( spl0_662
| ~ spl0_24
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f24280,f19923,f158,f43258]) ).
fof(f24280,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = multiply(X2,X1) )
| ~ spl0_24
| ~ spl0_405 ),
inference(resolution,[],[f19924,f159]) ).
fof(f43256,plain,
( spl0_661
| ~ spl0_41
| ~ spl0_76
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f19649,f19586,f803,f296,f43254]) ).
fof(f43254,plain,
( spl0_661
<=> ! [X0,X1] :
( ~ sum(X1,additive_inverse(X0),X1)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f296,plain,
( spl0_41
<=> ! [X0] : add(additive_identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f803,plain,
( spl0_76
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X0,X1),additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f19586,plain,
( spl0_397
<=> ! [X2,X0,X1] :
( ~ sum(add(X1,additive_inverse(add(X2,X0))),X2,X1)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f19649,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_inverse(X0),X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_41
| ~ spl0_76
| ~ spl0_397 ),
inference(forward_demodulation,[],[f19595,f297]) ).
fof(f297,plain,
( ! [X0] : add(additive_identity,X0) = X0
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f19595,plain,
( ! [X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(X1,additive_inverse(add(additive_identity,X0)),X1) )
| ~ spl0_76
| ~ spl0_397 ),
inference(resolution,[],[f19587,f804]) ).
fof(f804,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),additive_identity,X2)
| ~ sum(X0,X1,X2) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f19587,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X1,additive_inverse(add(X2,X0))),X2,X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f19586]) ).
fof(f43252,plain,
( spl0_660
| ~ spl0_2
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f16812,f13927,f27,f43250]) ).
fof(f43250,plain,
( spl0_660
<=> ! [X0,X1] : add(X0,X1) = add(add(X1,X0),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f13927,plain,
( spl0_340
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X3,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f16812,plain,
( ! [X0,X1] : add(X0,X1) = add(add(X1,X0),additive_identity)
| ~ spl0_2
| ~ spl0_340 ),
inference(resolution,[],[f13928,f28]) ).
fof(f13928,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X3,X1),X0) )
| ~ spl0_340 ),
inference(avatar_component_clause,[],[f13927]) ).
fof(f43248,plain,
( spl0_659
| ~ spl0_2
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f16648,f13923,f27,f43246]) ).
fof(f43246,plain,
( spl0_659
<=> ! [X0,X1] : add(X0,X1) = add(additive_identity,add(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f13923,plain,
( spl0_339
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f16648,plain,
( ! [X0,X1] : add(X0,X1) = add(additive_identity,add(X1,X0))
| ~ spl0_2
| ~ spl0_339 ),
inference(resolution,[],[f13924,f28]) ).
fof(f13924,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X3,X1)) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f13923]) ).
fof(f43244,plain,
( spl0_658
| ~ spl0_2
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f15780,f13879,f27,f43242]) ).
fof(f43242,plain,
( spl0_658
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X0,additive_inverse(X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f13879,plain,
( spl0_328
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,additive_inverse(X2),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f15780,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X0,additive_inverse(X1),additive_identity) )
| ~ spl0_2
| ~ spl0_328 ),
inference(resolution,[],[f13880,f28]) ).
fof(f13880,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| sum(X3,additive_inverse(X2),additive_identity) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f13879]) ).
fof(f43240,plain,
( spl0_657
| ~ spl0_134
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f12466,f9848,f1946,f43238]) ).
fof(f43238,plain,
( spl0_657
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| add(X0,X2) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f9848,plain,
( spl0_285
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,X3),X0,add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f12466,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| add(X0,X2) = X2 )
| ~ spl0_134
| ~ spl0_285 ),
inference(resolution,[],[f9849,f1947]) ).
fof(f9849,plain,
( ! [X2,X3,X0,X1] :
( sum(add(X1,X3),X0,add(X2,X3))
| ~ sum(X0,X1,X2) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f9848]) ).
fof(f43236,plain,
( spl0_656
| ~ spl0_135
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f12465,f9848,f1950,f43234]) ).
fof(f43234,plain,
( spl0_656
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| add(X2,X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f12465,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| add(X2,X0) = X2 )
| ~ spl0_135
| ~ spl0_285 ),
inference(resolution,[],[f9849,f1951]) ).
fof(f43232,plain,
( spl0_655
| ~ spl0_57
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f12392,f9844,f442,f43230]) ).
fof(f43230,plain,
( spl0_655
<=> ! [X0,X1] :
( sum(additive_identity,X1,additive_identity)
| ~ sum(additive_inverse(X1),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f442,plain,
( spl0_57
<=> ! [X0] : additive_identity = add(X0,additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f9844,plain,
( spl0_284
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(X2),X1,X0)
| sum(add(X0,additive_inverse(X1)),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f12392,plain,
( ! [X0,X1] :
( sum(additive_identity,X1,additive_identity)
| ~ sum(additive_inverse(X1),X0,X0) )
| ~ spl0_57
| ~ spl0_284 ),
inference(superposition,[],[f9845,f443]) ).
fof(f443,plain,
( ! [X0] : additive_identity = add(X0,additive_inverse(X0))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f9845,plain,
( ! [X2,X0,X1] :
( sum(add(X0,additive_inverse(X1)),X2,additive_identity)
| ~ sum(additive_inverse(X2),X1,X0) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f9844]) ).
fof(f43228,plain,
( spl0_654
| ~ spl0_30
| ~ spl0_133
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f11080,f9668,f1942,f198,f43226]) ).
fof(f43226,plain,
( spl0_654
<=> ! [X2,X1] :
( ~ sum(additive_inverse(X1),X2,additive_identity)
| sum(additive_identity,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f198,plain,
( spl0_30
<=> ! [X0,X1] :
( additive_inverse(X1) = X0
| ~ sum(X0,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1942,plain,
( spl0_133
<=> ! [X0,X1] : sum(add(X0,additive_inverse(add(X0,X1))),X1,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f9668,plain,
( spl0_264
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f11080,plain,
( ! [X2,X1] :
( ~ sum(additive_inverse(X1),X2,additive_identity)
| sum(additive_identity,X2,X1) )
| ~ spl0_30
| ~ spl0_133
| ~ spl0_264 ),
inference(forward_demodulation,[],[f11047,f2484]) ).
fof(f2484,plain,
( ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X1,X0)))
| ~ spl0_30
| ~ spl0_133 ),
inference(resolution,[],[f1943,f199]) ).
fof(f199,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X0 )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f1943,plain,
( ! [X0,X1] : sum(add(X0,additive_inverse(add(X0,X1))),X1,additive_identity)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f1942]) ).
fof(f11047,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,additive_inverse(add(X0,X1))),X2,additive_identity)
| sum(additive_identity,X2,X1) )
| ~ spl0_133
| ~ spl0_264 ),
inference(resolution,[],[f9669,f1943]) ).
fof(f9669,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X3,X1,X2) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f9668]) ).
fof(f43215,plain,
( spl0_653
| ~ spl0_5
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f11041,f9668,f39,f43213]) ).
fof(f43213,plain,
( spl0_653
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X1,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f39,plain,
( spl0_5
<=> ! [X0] : sum(X0,additive_inverse(X0),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f11041,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X1,additive_inverse(X0)) )
| ~ spl0_5
| ~ spl0_264 ),
inference(resolution,[],[f9669,f40]) ).
fof(f40,plain,
( ! [X0] : sum(X0,additive_inverse(X0),additive_identity)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f43202,plain,
( spl0_652
| ~ spl0_21
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1539,f1357,f142,f43200]) ).
fof(f43200,plain,
( spl0_652
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X1,X4),X5)
| ~ sum(X5,multiply(X2,X4),X6)
| ~ sum(X3,X0,X7)
| product(X7,multiply(X1,X4),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f142,plain,
( spl0_21
<=> ! [X3,X9,X0,X8,X6,X1,X7] :
( ~ product(X1,X0,X6)
| ~ product(X3,X0,X7)
| ~ sum(X6,X7,X9)
| ~ sum(X1,X3,X8)
| product(X8,X0,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1357,plain,
( spl0_94
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| product(X0,multiply(X1,X3),multiply(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1539,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X1,X4),X5)
| ~ sum(X5,multiply(X2,X4),X6)
| ~ sum(X3,X0,X7)
| product(X7,multiply(X1,X4),X6) )
| ~ spl0_21
| ~ spl0_94 ),
inference(resolution,[],[f1358,f143]) ).
fof(f143,plain,
( ! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X3,X0,X7)
| ~ product(X1,X0,X6)
| ~ sum(X6,X7,X9)
| ~ sum(X1,X3,X8)
| product(X8,X0,X9) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f1358,plain,
( ! [X2,X3,X0,X1] :
( product(X0,multiply(X1,X3),multiply(X2,X3))
| ~ product(X0,X1,X2) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f43198,plain,
( spl0_651
| ~ spl0_20
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1538,f1357,f138,f43196]) ).
fof(f43196,plain,
( spl0_651
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X1,X4),X5)
| ~ product(X6,multiply(X1,X4),X7)
| ~ sum(X3,X6,X0)
| sum(X5,X7,multiply(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f138,plain,
( spl0_20
<=> ! [X3,X9,X0,X8,X6,X1,X7] :
( ~ product(X1,X0,X6)
| ~ product(X8,X0,X9)
| ~ product(X3,X0,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1538,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X1,X4),X5)
| ~ product(X6,multiply(X1,X4),X7)
| ~ sum(X3,X6,X0)
| sum(X5,X7,multiply(X2,X4)) )
| ~ spl0_20
| ~ spl0_94 ),
inference(resolution,[],[f1358,f139]) ).
fof(f139,plain,
( ! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X8,X0,X9)
| ~ product(X1,X0,X6)
| ~ product(X3,X0,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f42977,plain,
( spl0_650
| ~ spl0_150
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f7123,f5342,f2686,f42975]) ).
fof(f42975,plain,
( spl0_650
<=> ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| additive_identity = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f5342,plain,
( spl0_209
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,additive_inverse(X2)),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f7123,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| additive_identity = additive_inverse(X1) )
| ~ spl0_150
| ~ spl0_209 ),
inference(resolution,[],[f5343,f2687]) ).
fof(f5343,plain,
( ! [X2,X0,X1] :
( sum(add(X1,additive_inverse(X2)),X0,additive_identity)
| ~ sum(X0,X1,X2) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f5342]) ).
fof(f42973,plain,
( spl0_649
| ~ spl0_21
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1550,f1361,f142,f42971]) ).
fof(f42971,plain,
( spl0_649
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ sum(X5,multiply(X0,multiply(X1,X4)),X6)
| ~ sum(X3,X2,X7)
| product(X7,X4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f1361,plain,
( spl0_95
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| product(X2,X3,multiply(X0,multiply(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f1550,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ sum(X5,multiply(X0,multiply(X1,X4)),X6)
| ~ sum(X3,X2,X7)
| product(X7,X4,X6) )
| ~ spl0_21
| ~ spl0_95 ),
inference(resolution,[],[f1362,f143]) ).
fof(f1362,plain,
( ! [X2,X3,X0,X1] :
( product(X2,X3,multiply(X0,multiply(X1,X3)))
| ~ product(X0,X1,X2) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f42969,plain,
( spl0_648
| ~ spl0_20
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1549,f1361,f138,f42967]) ).
fof(f42967,plain,
( spl0_648
<=> ! [X3,X4,X0,X7,X6,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ product(X6,X4,X7)
| ~ sum(X3,X6,X2)
| sum(X5,X7,multiply(X0,multiply(X1,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f1549,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ product(X6,X4,X7)
| ~ sum(X3,X6,X2)
| sum(X5,X7,multiply(X0,multiply(X1,X4))) )
| ~ spl0_20
| ~ spl0_95 ),
inference(resolution,[],[f1362,f139]) ).
fof(f42965,plain,
( spl0_647
| ~ spl0_19
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1548,f1361,f134,f42963]) ).
fof(f42963,plain,
( spl0_647
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ sum(X4,multiply(X0,multiply(X1,X5)),X6)
| ~ sum(X3,X5,X7)
| product(X2,X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f134,plain,
( spl0_19
<=> ! [X3,X9,X0,X8,X6,X1,X7] :
( ~ product(X0,X1,X6)
| ~ product(X0,X3,X7)
| ~ sum(X6,X7,X9)
| ~ sum(X1,X3,X8)
| product(X0,X8,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1548,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ sum(X4,multiply(X0,multiply(X1,X5)),X6)
| ~ sum(X3,X5,X7)
| product(X2,X7,X6) )
| ~ spl0_19
| ~ spl0_95 ),
inference(resolution,[],[f1362,f135]) ).
fof(f135,plain,
( ! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X3,X7)
| ~ product(X0,X1,X6)
| ~ sum(X6,X7,X9)
| ~ sum(X1,X3,X8)
| product(X0,X8,X9) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f42961,plain,
( spl0_646
| ~ spl0_18
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1547,f1361,f124,f42959]) ).
fof(f42959,plain,
( spl0_646
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X2,X5,X6)
| ~ sum(X3,X5,X7)
| sum(X4,X6,multiply(X0,multiply(X1,X7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f124,plain,
( spl0_18
<=> ! [X3,X9,X0,X8,X6,X1,X7] :
( ~ product(X0,X1,X6)
| ~ product(X0,X8,X9)
| ~ product(X0,X3,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1547,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X2,X5,X6)
| ~ sum(X3,X5,X7)
| sum(X4,X6,multiply(X0,multiply(X1,X7))) )
| ~ spl0_18
| ~ spl0_95 ),
inference(resolution,[],[f1362,f125]) ).
fof(f125,plain,
( ! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X8,X9)
| ~ product(X0,X1,X6)
| ~ product(X0,X3,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f42957,plain,
( spl0_645
| ~ spl0_54
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1543,f1357,f400,f42955]) ).
fof(f42955,plain,
( spl0_645
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X1,X4),X5)
| ~ sum(X3,X0,X6)
| sum(X5,multiply(X2,X4),multiply(X6,multiply(X1,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f400,plain,
( spl0_54
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| sum(X2,X4,multiply(X5,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1543,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X1,X4),X5)
| ~ sum(X3,X0,X6)
| sum(X5,multiply(X2,X4),multiply(X6,multiply(X1,X4))) )
| ~ spl0_54
| ~ spl0_94 ),
inference(resolution,[],[f1358,f401]) ).
fof(f401,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X3,X1,X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X5)
| sum(X2,X4,multiply(X5,X1)) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f42953,plain,
( spl0_644
| ~ spl0_19
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1537,f1357,f134,f42951]) ).
fof(f42951,plain,
( spl0_644
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X4,multiply(X2,X5),X6)
| ~ sum(X3,multiply(X1,X5),X7)
| product(X0,X7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f1537,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X4,multiply(X2,X5),X6)
| ~ sum(X3,multiply(X1,X5),X7)
| product(X0,X7,X6) )
| ~ spl0_19
| ~ spl0_94 ),
inference(resolution,[],[f1358,f135]) ).
fof(f42949,plain,
( spl0_643
| ~ spl0_18
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1536,f1357,f124,f42947]) ).
fof(f42947,plain,
( spl0_643
<=> ! [X5,X6,X4,X0,X7,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X0,X5,X6)
| ~ sum(X3,X5,multiply(X1,X7))
| sum(X4,X6,multiply(X2,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f1536,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X0,X5,X6)
| ~ sum(X3,X5,multiply(X1,X7))
| sum(X4,X6,multiply(X2,X7)) )
| ~ spl0_18
| ~ spl0_94 ),
inference(resolution,[],[f1358,f125]) ).
fof(f42913,plain,
( spl0_642
| ~ spl0_140
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f6504,f5260,f2646,f42911]) ).
fof(f42911,plain,
( spl0_642
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,additive_inverse(X1))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f2646,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(additive_inverse(X0),X1))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f5260,plain,
( spl0_202
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_identity,additive_identity,add(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f6504,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,additive_inverse(X1))
| X0 = X1 )
| ~ spl0_140
| ~ spl0_202 ),
inference(resolution,[],[f5261,f2647]) ).
fof(f2647,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(additive_inverse(X0),X1))
| X0 = X1 )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f2646]) ).
fof(f5261,plain,
( ! [X0,X1] :
( sum(additive_identity,additive_identity,add(X1,X0))
| ~ sum(additive_inverse(X0),additive_identity,X1) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f5260]) ).
fof(f42811,plain,
( spl0_641
| ~ spl0_7
| ~ spl0_334
| ~ spl0_632 ),
inference(avatar_split_clause,[],[f42757,f42754,f13903,f47,f42809]) ).
fof(f42809,plain,
( spl0_641
<=> ! [X2,X3,X4,X0,X6,X5,X1] :
( product(X3,X6,add(X1,add(multiply(X3,X5),X0)))
| ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f47,plain,
( spl0_7
<=> ! [X0,X1] : sum(X0,X1,add(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f13903,plain,
( spl0_334
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f42754,plain,
( spl0_632
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X4,X5,X6)
| product(X3,X6,add(add(X1,multiply(X3,X5)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f42757,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( product(X3,X6,add(X1,add(multiply(X3,X5),X0)))
| ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X4,X5,X6) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_632 ),
inference(forward_demodulation,[],[f42755,f16100]) ).
fof(f16100,plain,
( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2)
| ~ spl0_7
| ~ spl0_334 ),
inference(resolution,[],[f13904,f48]) ).
fof(f48,plain,
( ! [X0,X1] : sum(X0,X1,add(X0,X1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f13904,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X1,X3)) )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f13903]) ).
fof(f42755,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X4,X5,X6)
| product(X3,X6,add(add(X1,multiply(X3,X5)),X0)) )
| ~ spl0_632 ),
inference(avatar_component_clause,[],[f42754]) ).
fof(f42807,plain,
( spl0_640
| ~ spl0_7
| ~ spl0_334
| ~ spl0_631 ),
inference(avatar_split_clause,[],[f42752,f42749,f13903,f47,f42805]) ).
fof(f42805,plain,
( spl0_640
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( product(X6,X4,add(X1,add(multiply(X5,X4),X0)))
| ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X3,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f42749,plain,
( spl0_631
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X3,X5,X6)
| product(X6,X4,add(add(X1,multiply(X5,X4)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f42752,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( product(X6,X4,add(X1,add(multiply(X5,X4),X0)))
| ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X3,X5,X6) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_631 ),
inference(forward_demodulation,[],[f42750,f16100]) ).
fof(f42750,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X3,X5,X6)
| product(X6,X4,add(add(X1,multiply(X5,X4)),X0)) )
| ~ spl0_631 ),
inference(avatar_component_clause,[],[f42749]) ).
fof(f42785,plain,
( spl0_639
| ~ spl0_94
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1688,f1664,f1357,f42783]) ).
fof(f42783,plain,
( spl0_639
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X2,multiply(X3,X4),add(multiply(X1,multiply(X3,X4)),multiply(X5,X4)))
| ~ product(X0,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f1664,plain,
( spl0_109
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(multiply(X3,X1),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1688,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| product(X2,multiply(X3,X4),add(multiply(X1,multiply(X3,X4)),multiply(X5,X4)))
| ~ product(X0,X3,X5) )
| ~ spl0_94
| ~ spl0_109 ),
inference(resolution,[],[f1665,f1358]) ).
fof(f1665,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(multiply(X3,X1),X2)) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f42781,plain,
( spl0_638
| ~ spl0_140
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f6371,f5252,f2646,f42779]) ).
fof(f42779,plain,
( spl0_638
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| additive_inverse(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f5252,plain,
( spl0_200
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_identity,additive_identity,add(X1,additive_inverse(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f6371,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| additive_inverse(X0) = X1 )
| ~ spl0_140
| ~ spl0_200 ),
inference(resolution,[],[f5253,f2647]) ).
fof(f5253,plain,
( ! [X0,X1] :
( sum(additive_identity,additive_identity,add(X1,additive_inverse(X0)))
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f5252]) ).
fof(f42777,plain,
( spl0_637
| ~ spl0_94
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1685,f1660,f1357,f42775]) ).
fof(f42775,plain,
( spl0_637
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X2,multiply(X3,X4),add(multiply(X5,X4),multiply(X1,multiply(X3,X4))))
| ~ product(X0,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f1660,plain,
( spl0_108
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(X2,multiply(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1685,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| product(X2,multiply(X3,X4),add(multiply(X5,X4),multiply(X1,multiply(X3,X4))))
| ~ product(X0,X3,X5) )
| ~ spl0_94
| ~ spl0_108 ),
inference(resolution,[],[f1661,f1358]) ).
fof(f1661,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(X2,multiply(X3,X1))) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1660]) ).
fof(f42773,plain,
( spl0_636
| ~ spl0_94
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1678,f1656,f1357,f42771]) ).
fof(f42771,plain,
( spl0_636
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,X4),multiply(X1,multiply(X5,X4)),multiply(X2,multiply(X5,X4)))
| ~ product(X0,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f1656,plain,
( spl0_107
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X2,multiply(X3,X1),multiply(X4,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1678,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,X4),multiply(X1,multiply(X5,X4)),multiply(X2,multiply(X5,X4)))
| ~ product(X0,X5,X3) )
| ~ spl0_94
| ~ spl0_107 ),
inference(resolution,[],[f1657,f1358]) ).
fof(f1657,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X2,multiply(X3,X1),multiply(X4,X1)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1656]) ).
fof(f42769,plain,
( spl0_635
| ~ spl0_54
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1554,f1361,f400,f42767]) ).
fof(f42767,plain,
( spl0_635
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ sum(X3,X2,X6)
| sum(X5,multiply(X0,multiply(X1,X4)),multiply(X6,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f1554,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X5)
| ~ sum(X3,X2,X6)
| sum(X5,multiply(X0,multiply(X1,X4)),multiply(X6,X4)) )
| ~ spl0_54
| ~ spl0_95 ),
inference(resolution,[],[f1362,f401]) ).
fof(f42765,plain,
( spl0_634
| ~ spl0_51
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1553,f1361,f388,f42763]) ).
fof(f42763,plain,
( spl0_634
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ sum(X3,X5,X6)
| sum(X4,multiply(X0,multiply(X1,X5)),multiply(X2,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f388,plain,
( spl0_51
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| sum(X2,X4,multiply(X0,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1553,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ sum(X3,X5,X6)
| sum(X4,multiply(X0,multiply(X1,X5)),multiply(X2,X6)) )
| ~ spl0_51
| ~ spl0_95 ),
inference(resolution,[],[f1362,f389]) ).
fof(f389,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X3,X4)
| ~ product(X0,X1,X2)
| ~ sum(X1,X3,X5)
| sum(X2,X4,multiply(X0,X5)) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f42761,plain,
( spl0_633
| ~ spl0_51
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1542,f1357,f388,f42759]) ).
fof(f42759,plain,
( spl0_633
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X3,multiply(X1,X5),X6)
| sum(X4,multiply(X2,X5),multiply(X0,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f1542,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X3,multiply(X1,X5),X6)
| sum(X4,multiply(X2,X5),multiply(X0,X6)) )
| ~ spl0_51
| ~ spl0_94 ),
inference(resolution,[],[f1358,f389]) ).
fof(f42756,plain,
( spl0_632
| ~ spl0_52
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1505,f1349,f392,f42754]) ).
fof(f392,plain,
( spl0_52
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X2,multiply(X0,X3),X4)
| ~ sum(X1,X3,X5)
| product(X0,X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1349,plain,
( spl0_92
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(add(X1,X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f1505,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X4,X5,X6)
| product(X3,X6,add(add(X1,multiply(X3,X5)),X0)) )
| ~ spl0_52
| ~ spl0_92 ),
inference(resolution,[],[f1350,f393]) ).
fof(f393,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,multiply(X0,X3),X4)
| ~ product(X0,X1,X2)
| ~ sum(X1,X3,X5)
| product(X0,X5,X4) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f1350,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X3,add(add(X1,X3),X0))
| ~ sum(X0,X1,X2) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f42751,plain,
( spl0_631
| ~ spl0_55
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1504,f1349,f404,f42749]) ).
fof(f404,plain,
( spl0_55
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X2,multiply(X3,X1),X4)
| ~ sum(X0,X3,X5)
| product(X5,X1,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1504,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X3,X5,X6)
| product(X6,X4,add(add(X1,multiply(X5,X4)),X0)) )
| ~ spl0_55
| ~ spl0_92 ),
inference(resolution,[],[f1350,f405]) ).
fof(f405,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,multiply(X3,X1),X4)
| ~ product(X0,X1,X2)
| ~ sum(X0,X3,X5)
| product(X5,X1,X4) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f42747,plain,
( spl0_630
| ~ spl0_52
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1458,f1345,f392,f42745]) ).
fof(f42745,plain,
( spl0_630
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X4,X5,X6)
| product(X3,X6,add(X0,add(X1,multiply(X3,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f1345,plain,
( spl0_91
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X0,add(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1458,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X4,X5,X6)
| product(X3,X6,add(X0,add(X1,multiply(X3,X5)))) )
| ~ spl0_52
| ~ spl0_91 ),
inference(resolution,[],[f1346,f393]) ).
fof(f1346,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X3,add(X0,add(X1,X3)))
| ~ sum(X0,X1,X2) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f42743,plain,
( spl0_629
| ~ spl0_55
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1457,f1345,f404,f42741]) ).
fof(f42741,plain,
( spl0_629
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X3,X5,X6)
| product(X6,X4,add(X0,add(X1,multiply(X5,X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f1457,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ sum(X3,X5,X6)
| product(X6,X4,add(X0,add(X1,multiply(X5,X4)))) )
| ~ spl0_55
| ~ spl0_91 ),
inference(resolution,[],[f1346,f405]) ).
fof(f42727,plain,
( spl0_628
| ~ spl0_53
| ~ spl0_72
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f4731,f2942,f549,f396,f42725]) ).
fof(f42725,plain,
( spl0_628
<=> ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f4731,plain,
( ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(X1)) )
| ~ spl0_53
| ~ spl0_72
| ~ spl0_176 ),
inference(forward_demodulation,[],[f4720,f397]) ).
fof(f4720,plain,
( ! [X0,X1] :
( sum(additive_inverse(additive_inverse(X0)),X1,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(X1)) )
| ~ spl0_72
| ~ spl0_176 ),
inference(resolution,[],[f2943,f550]) ).
fof(f42687,plain,
( spl0_627
| ~ spl0_52
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1209,f1056,f392,f42685]) ).
fof(f42685,plain,
( spl0_627
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,add(additive_inverse(multiply(X2,X4)),X0))
| ~ sum(X3,X4,X5)
| product(X2,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f1056,plain,
( spl0_84
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(additive_inverse(X2),X0),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1209,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,add(additive_inverse(multiply(X2,X4)),X0))
| ~ sum(X3,X4,X5)
| product(X2,X5,X1) )
| ~ spl0_52
| ~ spl0_84 ),
inference(resolution,[],[f1057,f393]) ).
fof(f1057,plain,
( ! [X2,X0,X1] :
( sum(add(additive_inverse(X2),X0),X2,X1)
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f42683,plain,
( spl0_626
| ~ spl0_55
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1208,f1056,f404,f42681]) ).
fof(f42681,plain,
( spl0_626
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,add(additive_inverse(multiply(X4,X3)),X0))
| ~ sum(X2,X4,X5)
| product(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f1208,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,add(additive_inverse(multiply(X4,X3)),X0))
| ~ sum(X2,X4,X5)
| product(X5,X3,X1) )
| ~ spl0_55
| ~ spl0_84 ),
inference(resolution,[],[f1057,f405]) ).
fof(f42679,plain,
( spl0_625
| ~ spl0_52
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1158,f1052,f392,f42677]) ).
fof(f42677,plain,
( spl0_625
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,add(X0,additive_inverse(multiply(X2,X4))))
| ~ sum(X3,X4,X5)
| product(X2,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f1052,plain,
( spl0_83
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,additive_inverse(X2)),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1158,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,add(X0,additive_inverse(multiply(X2,X4))))
| ~ sum(X3,X4,X5)
| product(X2,X5,X1) )
| ~ spl0_52
| ~ spl0_83 ),
inference(resolution,[],[f1053,f393]) ).
fof(f1053,plain,
( ! [X2,X0,X1] :
( sum(add(X0,additive_inverse(X2)),X2,X1)
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f42675,plain,
( spl0_624
| ~ spl0_55
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1157,f1052,f404,f42673]) ).
fof(f42673,plain,
( spl0_624
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,add(X0,additive_inverse(multiply(X4,X3))))
| ~ sum(X2,X4,X5)
| product(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f1157,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,add(X0,additive_inverse(multiply(X4,X3))))
| ~ sum(X2,X4,X5)
| product(X5,X3,X1) )
| ~ spl0_55
| ~ spl0_83 ),
inference(resolution,[],[f1053,f405]) ).
fof(f42416,plain,
( spl0_623
| ~ spl0_126
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f4719,f2942,f1914,f42414]) ).
fof(f42414,plain,
( spl0_623
<=> ! [X0,X1] :
( sum(additive_inverse(X0),X1,additive_identity)
| ~ sum(additive_identity,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f4719,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X1,additive_identity)
| ~ sum(additive_identity,X1,X0) )
| ~ spl0_126
| ~ spl0_176 ),
inference(resolution,[],[f2943,f1915]) ).
fof(f42043,plain,
( spl0_622
| ~ spl0_85
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f4568,f2926,f1060,f42041]) ).
fof(f42041,plain,
( spl0_622
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_inverse(X1),additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f1060,plain,
( spl0_85
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(X0,additive_identity,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f4568,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_inverse(X1),additive_inverse(X0)) )
| ~ spl0_85
| ~ spl0_172 ),
inference(resolution,[],[f2927,f1061]) ).
fof(f1061,plain,
( ! [X2,X0,X1] :
( sum(X0,additive_identity,add(X2,X1))
| ~ sum(X0,additive_inverse(X1),X2) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f42025,plain,
( spl0_621
| ~ spl0_7
| ~ spl0_334
| ~ spl0_604 ),
inference(avatar_split_clause,[],[f41336,f41333,f13903,f47,f42023]) ).
fof(f42023,plain,
( spl0_621
<=> ! [X2,X3,X4,X0,X6,X5,X1] :
( ~ sum(X3,add(X1,add(X4,X0)),X5)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X6)
| sum(X6,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f41333,plain,
( spl0_604
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(add(X1,X4),X0),X5)
| ~ sum(X3,X2,X6)
| sum(X6,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f41336,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X3,add(X1,add(X4,X0)),X5)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X6)
| sum(X6,X4,X5) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_604 ),
inference(forward_demodulation,[],[f41334,f16100]) ).
fof(f41334,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(add(X1,X4),X0),X5)
| ~ sum(X3,X2,X6)
| sum(X6,X4,X5) )
| ~ spl0_604 ),
inference(avatar_component_clause,[],[f41333]) ).
fof(f42021,plain,
( spl0_620
| ~ spl0_7
| ~ spl0_334
| ~ spl0_603 ),
inference(avatar_split_clause,[],[f41331,f41328,f13903,f47,f42019]) ).
fof(f42019,plain,
( spl0_620
<=> ! [X2,X6,X4,X3,X0,X5,X1] :
( sum(X3,X6,add(X1,add(X5,X0)))
| ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f41328,plain,
( spl0_603
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,X5,X6)
| sum(X3,X6,add(add(X1,X5),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f41331,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( sum(X3,X6,add(X1,add(X5,X0)))
| ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,X5,X6) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_603 ),
inference(forward_demodulation,[],[f41329,f16100]) ).
fof(f41329,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,X5,X6)
| sum(X3,X6,add(add(X1,X5),X0)) )
| ~ spl0_603 ),
inference(avatar_component_clause,[],[f41328]) ).
fof(f41424,plain,
( spl0_619
| ~ spl0_126
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f3579,f2775,f1914,f41422]) ).
fof(f41422,plain,
( spl0_619
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,add(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f2775,plain,
( spl0_154
<=> ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f3579,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,add(X0,X1),X1) )
| ~ spl0_126
| ~ spl0_154 ),
inference(resolution,[],[f2776,f1915]) ).
fof(f2776,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| additive_identity = X0 )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f2775]) ).
fof(f41392,plain,
( spl0_618
| ~ spl0_95
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1687,f1664,f1361,f41390]) ).
fof(f41390,plain,
( spl0_618
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X1,X3),multiply(X4,multiply(X5,X3))))
| ~ product(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f1687,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X1,X3),multiply(X4,multiply(X5,X3))))
| ~ product(X4,X5,X0) )
| ~ spl0_95
| ~ spl0_109 ),
inference(resolution,[],[f1665,f1362]) ).
fof(f41388,plain,
( spl0_617
| ~ spl0_95
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1684,f1660,f1361,f41386]) ).
fof(f41386,plain,
( spl0_617
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X4,multiply(X5,X3)),multiply(X1,X3)))
| ~ product(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f1684,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X4,multiply(X5,X3)),multiply(X1,X3)))
| ~ product(X4,X5,X0) )
| ~ spl0_95
| ~ spl0_108 ),
inference(resolution,[],[f1661,f1362]) ).
fof(f41384,plain,
( spl0_616
| ~ spl0_95
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1677,f1656,f1361,f41382]) ).
fof(f41382,plain,
( spl0_616
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,multiply(X4,X5)),multiply(X1,X5),multiply(X2,X5))
| ~ product(X3,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f1677,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,multiply(X4,X5)),multiply(X1,X5),multiply(X2,X5))
| ~ product(X3,X4,X0) )
| ~ spl0_95
| ~ spl0_107 ),
inference(resolution,[],[f1657,f1362]) ).
fof(f41380,plain,
( spl0_615
| ~ spl0_94
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1675,f1652,f1357,f41378]) ).
fof(f41378,plain,
( spl0_615
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(multiply(X0,X1),X2,X3)
| product(X4,X3,add(multiply(X4,X2),multiply(X5,X1)))
| ~ product(X4,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f1652,plain,
( spl0_106
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(multiply(X0,X3),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1675,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(multiply(X0,X1),X2,X3)
| product(X4,X3,add(multiply(X4,X2),multiply(X5,X1)))
| ~ product(X4,X0,X5) )
| ~ spl0_94
| ~ spl0_106 ),
inference(resolution,[],[f1653,f1358]) ).
fof(f1653,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(multiply(X0,X3),X2)) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f41376,plain,
( spl0_614
| ~ spl0_95
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1674,f1652,f1361,f41374]) ).
fof(f41374,plain,
( spl0_614
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X1),multiply(X4,multiply(X5,X0))))
| ~ product(X4,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f1674,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X1),multiply(X4,multiply(X5,X0))))
| ~ product(X4,X5,X3) )
| ~ spl0_95
| ~ spl0_106 ),
inference(resolution,[],[f1653,f1362]) ).
fof(f41372,plain,
( spl0_613
| ~ spl0_94
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1672,f1648,f1357,f41370]) ).
fof(f41370,plain,
( spl0_613
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(multiply(X0,X1),X2,X3)
| product(X4,X3,add(multiply(X5,X1),multiply(X4,X2)))
| ~ product(X4,X0,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f1648,plain,
( spl0_105
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(X2,multiply(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1672,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(multiply(X0,X1),X2,X3)
| product(X4,X3,add(multiply(X5,X1),multiply(X4,X2)))
| ~ product(X4,X0,X5) )
| ~ spl0_94
| ~ spl0_105 ),
inference(resolution,[],[f1649,f1358]) ).
fof(f1649,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(X2,multiply(X0,X3))) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f41368,plain,
( spl0_612
| ~ spl0_126
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f3494,f2694,f1914,f41366]) ).
fof(f41366,plain,
( spl0_612
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,add(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f2694,plain,
( spl0_152
<=> ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f3494,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,add(X1,X0),X1) )
| ~ spl0_126
| ~ spl0_152 ),
inference(resolution,[],[f2695,f1915]) ).
fof(f2695,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| additive_identity = X1 )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f2694]) ).
fof(f41364,plain,
( spl0_611
| ~ spl0_95
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1671,f1648,f1361,f41362]) ).
fof(f41362,plain,
( spl0_611
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X4,multiply(X5,X0)),multiply(X3,X1)))
| ~ product(X4,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f1671,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X4,multiply(X5,X0)),multiply(X3,X1)))
| ~ product(X4,X5,X3) )
| ~ spl0_95
| ~ spl0_105 ),
inference(resolution,[],[f1649,f1362]) ).
fof(f41360,plain,
( spl0_610
| ~ spl0_94
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1669,f1644,f1357,f41358]) ).
fof(f41358,plain,
( spl0_610
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(multiply(X0,X1),X2,X3)
| sum(multiply(X4,X1),multiply(X5,X2),multiply(X5,X3))
| ~ product(X5,X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f1644,plain,
( spl0_104
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X2,multiply(X0,X3),multiply(X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f1669,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(multiply(X0,X1),X2,X3)
| sum(multiply(X4,X1),multiply(X5,X2),multiply(X5,X3))
| ~ product(X5,X0,X4) )
| ~ spl0_94
| ~ spl0_104 ),
inference(resolution,[],[f1645,f1358]) ).
fof(f1645,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X2,multiply(X0,X3),multiply(X0,X4)) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f41356,plain,
( spl0_609
| ~ spl0_95
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1668,f1644,f1361,f41354]) ).
fof(f41354,plain,
( spl0_609
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,multiply(X4,X0)),multiply(X5,X1),multiply(X5,X2))
| ~ product(X3,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f1668,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,multiply(X4,X0)),multiply(X5,X1),multiply(X5,X2))
| ~ product(X3,X4,X5) )
| ~ spl0_95
| ~ spl0_104 ),
inference(resolution,[],[f1645,f1362]) ).
fof(f41352,plain,
( spl0_608
| ~ spl0_17
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1546,f1361,f108,f41350]) ).
fof(f41350,plain,
( spl0_608
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X0,multiply(X1,X4)),X5)
| ~ product(X3,X2,X6)
| product(X6,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f108,plain,
( spl0_17
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| ~ product(X1,X3,X4)
| product(X2,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1546,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X0,multiply(X1,X4)),X5)
| ~ product(X3,X2,X6)
| product(X6,X4,X5) )
| ~ spl0_17
| ~ spl0_95 ),
inference(resolution,[],[f1362,f109]) ).
fof(f109,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X2)
| product(X2,X3,X5) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f41348,plain,
( spl0_607
| ~ spl0_16
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1545,f1361,f104,f41346]) ).
fof(f41346,plain,
( spl0_607
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X4,X5,X6)
| product(X3,X6,multiply(X0,multiply(X1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f104,plain,
( spl0_16
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| product(X0,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1545,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X4,X5,X6)
| product(X3,X6,multiply(X0,multiply(X1,X5))) )
| ~ spl0_16
| ~ spl0_95 ),
inference(resolution,[],[f1362,f105]) ).
fof(f105,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X0,X4,X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f41344,plain,
( spl0_606
| ~ spl0_17
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1535,f1357,f108,f41342]) ).
fof(f41342,plain,
( spl0_606
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X2,X4),X5)
| ~ product(X3,X0,X6)
| product(X6,multiply(X1,X4),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f1535,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,multiply(X2,X4),X5)
| ~ product(X3,X0,X6)
| product(X6,multiply(X1,X4),X5) )
| ~ spl0_17
| ~ spl0_94 ),
inference(resolution,[],[f1358,f109]) ).
fof(f41340,plain,
( spl0_605
| ~ spl0_16
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1534,f1357,f104,f41338]) ).
fof(f41338,plain,
( spl0_605
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,multiply(X1,X5),X6)
| product(X3,X6,multiply(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f1534,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,multiply(X1,X5),X6)
| product(X3,X6,multiply(X2,X5)) )
| ~ spl0_16
| ~ spl0_94 ),
inference(resolution,[],[f1358,f105]) ).
fof(f41335,plain,
( spl0_604
| ~ spl0_15
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1494,f1349,f100,f41333]) ).
fof(f100,plain,
( spl0_15
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X4,X5)
| ~ sum(X1,X3,X4)
| sum(X2,X3,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1494,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(add(X1,X4),X0),X5)
| ~ sum(X3,X2,X6)
| sum(X6,X4,X5) )
| ~ spl0_15
| ~ spl0_92 ),
inference(resolution,[],[f1350,f101]) ).
fof(f101,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X4,X5)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f41330,plain,
( spl0_603
| ~ spl0_14
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1493,f1349,f96,f41328]) ).
fof(f96,plain,
( spl0_14
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| sum(X0,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1493,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,X5,X6)
| sum(X3,X6,add(add(X1,X5),X0)) )
| ~ spl0_14
| ~ spl0_92 ),
inference(resolution,[],[f1350,f97]) ).
fof(f97,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,X5) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f41326,plain,
( spl0_602
| ~ spl0_15
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1447,f1345,f100,f41324]) ).
fof(f41324,plain,
( spl0_602
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X0,add(X1,X4)),X5)
| ~ sum(X3,X2,X6)
| sum(X6,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f1447,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X0,add(X1,X4)),X5)
| ~ sum(X3,X2,X6)
| sum(X6,X4,X5) )
| ~ spl0_15
| ~ spl0_91 ),
inference(resolution,[],[f1346,f101]) ).
fof(f41322,plain,
( spl0_601
| ~ spl0_53
| ~ spl0_124
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f3226,f2670,f1906,f396,f41320]) ).
fof(f41320,plain,
( spl0_601
<=> ! [X0,X1] :
( add(X0,X1) = X0
| ~ sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f1906,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(X1,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f2670,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(additive_inverse(X1),X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f3226,plain,
( ! [X0,X1] :
( add(X0,X1) = X0
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_53
| ~ spl0_124
| ~ spl0_146 ),
inference(forward_demodulation,[],[f3193,f397]) ).
fof(f3193,plain,
( ! [X0,X1] :
( add(additive_inverse(additive_inverse(X0)),X1) = X0
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_124
| ~ spl0_146 ),
inference(resolution,[],[f2671,f1907]) ).
fof(f1907,plain,
( ! [X0,X1] :
( sum(X1,additive_inverse(X1),X0)
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f2671,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(additive_inverse(X1),X2) = X0 )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f2670]) ).
fof(f41318,plain,
( spl0_600
| ~ spl0_14
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1446,f1345,f96,f41316]) ).
fof(f41316,plain,
( spl0_600
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,X5,X6)
| sum(X3,X6,add(X0,add(X1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f1446,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,X5,X6)
| sum(X3,X6,add(X0,add(X1,X5))) )
| ~ spl0_14
| ~ spl0_91 ),
inference(resolution,[],[f1346,f97]) ).
fof(f41314,plain,
( spl0_599
| ~ spl0_15
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1413,f1341,f100,f41312]) ).
fof(f41312,plain,
( spl0_599
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X2,X4),X5)
| ~ sum(X3,X0,X6)
| sum(X6,add(X4,X1),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f1341,plain,
( spl0_90
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X1),add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1413,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X2,X4),X5)
| ~ sum(X3,X0,X6)
| sum(X6,add(X4,X1),X5) )
| ~ spl0_15
| ~ spl0_90 ),
inference(resolution,[],[f1342,f101]) ).
fof(f1342,plain,
( ! [X2,X3,X0,X1] :
( sum(X0,add(X3,X1),add(X2,X3))
| ~ sum(X0,X1,X2) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f41310,plain,
( spl0_598
| ~ spl0_14
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1412,f1341,f96,f41308]) ).
fof(f41308,plain,
( spl0_598
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,add(X5,X1),X6)
| sum(X3,X6,add(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f1412,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,add(X5,X1),X6)
| sum(X3,X6,add(X2,X5)) )
| ~ spl0_14
| ~ spl0_90 ),
inference(resolution,[],[f1342,f97]) ).
fof(f41306,plain,
( spl0_597
| ~ spl0_15
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1376,f1337,f100,f41304]) ).
fof(f41304,plain,
( spl0_597
<=> ! [X3,X4,X0,X6,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X2,X4),X5)
| ~ sum(X3,X0,X6)
| sum(X6,add(X1,X4),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f1337,plain,
( spl0_89
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X1,X3),add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1376,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X2,X4),X5)
| ~ sum(X3,X0,X6)
| sum(X6,add(X1,X4),X5) )
| ~ spl0_15
| ~ spl0_89 ),
inference(resolution,[],[f1338,f101]) ).
fof(f1338,plain,
( ! [X2,X3,X0,X1] :
( sum(X0,add(X1,X3),add(X2,X3))
| ~ sum(X0,X1,X2) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f41302,plain,
( spl0_596
| ~ spl0_14
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1375,f1337,f96,f41300]) ).
fof(f41300,plain,
( spl0_596
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,add(X1,X5),X6)
| sum(X3,X6,add(X2,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f1375,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,add(X1,X5),X6)
| sum(X3,X6,add(X2,X5)) )
| ~ spl0_14
| ~ spl0_89 ),
inference(resolution,[],[f1338,f97]) ).
fof(f41298,plain,
( spl0_595
| ~ spl0_52
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1024,f815,f392,f41296]) ).
fof(f41296,plain,
( spl0_595
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ product(X2,X3,X1)
| ~ sum(X3,X4,X5)
| product(X2,X5,add(X0,multiply(X2,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(additive_identity,X0,X1)
| ~ product(X2,X3,X1)
| ~ sum(X3,X4,X5)
| product(X2,X5,add(X0,multiply(X2,X4))) )
| ~ spl0_52
| ~ spl0_79 ),
inference(resolution,[],[f816,f393]) ).
fof(f41294,plain,
( spl0_594
| ~ spl0_55
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1023,f815,f404,f41292]) ).
fof(f41292,plain,
( spl0_594
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ product(X2,X3,X1)
| ~ sum(X2,X4,X5)
| product(X5,X3,add(X0,multiply(X4,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f1023,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(additive_identity,X0,X1)
| ~ product(X2,X3,X1)
| ~ sum(X2,X4,X5)
| product(X5,X3,add(X0,multiply(X4,X3))) )
| ~ spl0_55
| ~ spl0_79 ),
inference(resolution,[],[f816,f405]) ).
fof(f41290,plain,
( spl0_593
| ~ spl0_52
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f983,f811,f392,f41288]) ).
fof(f41288,plain,
( spl0_593
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,X0)
| ~ sum(X3,X4,X5)
| product(X2,X5,add(X1,multiply(X2,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f983,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,X0)
| ~ sum(X3,X4,X5)
| product(X2,X5,add(X1,multiply(X2,X4))) )
| ~ spl0_52
| ~ spl0_78 ),
inference(resolution,[],[f812,f393]) ).
fof(f41286,plain,
( spl0_592
| ~ spl0_55
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f982,f811,f404,f41284]) ).
fof(f41284,plain,
( spl0_592
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,X0)
| ~ sum(X2,X4,X5)
| product(X5,X3,add(X1,multiply(X4,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f982,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ product(X2,X3,X0)
| ~ sum(X2,X4,X5)
| product(X5,X3,add(X1,multiply(X4,X3))) )
| ~ spl0_55
| ~ spl0_78 ),
inference(resolution,[],[f812,f405]) ).
fof(f41180,plain,
( spl0_591
| ~ spl0_85
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f3107,f2662,f1060,f41178]) ).
fof(f41178,plain,
( spl0_591
<=> ! [X0,X1] :
( additive_inverse(X0) = X1
| ~ sum(additive_identity,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f2662,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(X0,X1))
| additive_inverse(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f3107,plain,
( ! [X0,X1] :
( additive_inverse(X0) = X1
| ~ sum(additive_identity,additive_inverse(X1),X0) )
| ~ spl0_85
| ~ spl0_144 ),
inference(resolution,[],[f2663,f1061]) ).
fof(f2663,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(X0,X1))
| additive_inverse(X0) = X1 )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f2662]) ).
fof(f40204,plain,
( spl0_590
| ~ spl0_85
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f3063,f2646,f1060,f40202]) ).
fof(f40202,plain,
( spl0_590
<=> ! [X0,X1] :
( X0 = X1
| ~ sum(additive_identity,additive_inverse(X1),additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f3063,plain,
( ! [X0,X1] :
( X0 = X1
| ~ sum(additive_identity,additive_inverse(X1),additive_inverse(X0)) )
| ~ spl0_85
| ~ spl0_140 ),
inference(resolution,[],[f2647,f1061]) ).
fof(f40098,plain,
( spl0_589
| ~ spl0_15
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1285,f1064,f100,f40096]) ).
fof(f40096,plain,
( spl0_589
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X2,additive_inverse(X1)),X4)
| ~ sum(X3,X0,X5)
| sum(X5,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f1064,plain,
( spl0_86
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(X2,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1285,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X2,additive_inverse(X1)),X4)
| ~ sum(X3,X0,X5)
| sum(X5,additive_identity,X4) )
| ~ spl0_15
| ~ spl0_86 ),
inference(resolution,[],[f1065,f101]) ).
fof(f1065,plain,
( ! [X2,X0,X1] :
( sum(X0,additive_identity,add(X2,additive_inverse(X1)))
| ~ sum(X0,X1,X2) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f40094,plain,
( spl0_588
| ~ spl0_14
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1284,f1064,f96,f40092]) ).
fof(f40092,plain,
( spl0_588
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,additive_identity,X5)
| sum(X3,X5,add(X2,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f1284,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,additive_identity,X5)
| sum(X3,X5,add(X2,additive_inverse(X1))) )
| ~ spl0_14
| ~ spl0_86 ),
inference(resolution,[],[f1065,f97]) ).
fof(f40090,plain,
( spl0_587
| ~ spl0_15
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1247,f1060,f100,f40088]) ).
fof(f40088,plain,
( spl0_587
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X3,add(X2,X1),X4)
| ~ sum(X3,X0,X5)
| sum(X5,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f1247,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X3,add(X2,X1),X4)
| ~ sum(X3,X0,X5)
| sum(X5,additive_identity,X4) )
| ~ spl0_15
| ~ spl0_85 ),
inference(resolution,[],[f1061,f101]) ).
fof(f40086,plain,
( spl0_586
| ~ spl0_14
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1246,f1060,f96,f40084]) ).
fof(f40084,plain,
( spl0_586
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,additive_identity,X5)
| sum(X3,X5,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f1246,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,additive_identity,X5)
| sum(X3,X5,add(X2,X1)) )
| ~ spl0_14
| ~ spl0_85 ),
inference(resolution,[],[f1061,f97]) ).
fof(f40082,plain,
( spl0_585
| ~ spl0_15
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1190,f1056,f100,f40080]) ).
fof(f40080,plain,
( spl0_585
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X1,X3)
| ~ sum(X2,add(additive_inverse(X4),X0),X5)
| sum(X5,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f1190,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X1,X3)
| ~ sum(X2,add(additive_inverse(X4),X0),X5)
| sum(X5,X4,X3) )
| ~ spl0_15
| ~ spl0_84 ),
inference(resolution,[],[f1057,f101]) ).
fof(f40078,plain,
( spl0_584
| ~ spl0_14
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1189,f1056,f96,f40076]) ).
fof(f40076,plain,
( spl0_584
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X3,add(additive_inverse(X4),X0))
| ~ sum(X3,X4,X5)
| sum(X2,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f1189,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X3,add(additive_inverse(X4),X0))
| ~ sum(X3,X4,X5)
| sum(X2,X5,X1) )
| ~ spl0_14
| ~ spl0_84 ),
inference(resolution,[],[f1057,f97]) ).
fof(f40074,plain,
( spl0_583
| ~ spl0_15
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1139,f1052,f100,f40072]) ).
fof(f40072,plain,
( spl0_583
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X1,X3)
| ~ sum(X2,add(X0,additive_inverse(X4)),X5)
| sum(X5,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f1139,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X1,X3)
| ~ sum(X2,add(X0,additive_inverse(X4)),X5)
| sum(X5,X4,X3) )
| ~ spl0_15
| ~ spl0_83 ),
inference(resolution,[],[f1053,f101]) ).
fof(f40070,plain,
( spl0_582
| ~ spl0_53
| ~ spl0_72
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2972,f2634,f549,f396,f40068]) ).
fof(f40068,plain,
( spl0_582
<=> ! [X0,X1] :
( sum(X0,additive_identity,X1)
| ~ sum(additive_inverse(X1),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f2972,plain,
( ! [X0,X1] :
( sum(X0,additive_identity,X1)
| ~ sum(additive_inverse(X1),X0,additive_identity) )
| ~ spl0_53
| ~ spl0_72
| ~ spl0_137 ),
inference(forward_demodulation,[],[f2966,f397]) ).
fof(f2966,plain,
( ! [X0,X1] :
( sum(additive_inverse(additive_inverse(X0)),additive_identity,X1)
| ~ sum(additive_inverse(X1),X0,additive_identity) )
| ~ spl0_72
| ~ spl0_137 ),
inference(resolution,[],[f2635,f550]) ).
fof(f40066,plain,
( spl0_581
| ~ spl0_14
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1138,f1052,f96,f40064]) ).
fof(f40064,plain,
( spl0_581
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X3,add(X0,additive_inverse(X4)))
| ~ sum(X3,X4,X5)
| sum(X2,X5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f1138,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X3,add(X0,additive_inverse(X4)))
| ~ sum(X3,X4,X5)
| sum(X2,X5,X1) )
| ~ spl0_14
| ~ spl0_83 ),
inference(resolution,[],[f1053,f97]) ).
fof(f40062,plain,
( spl0_580
| ~ spl0_15
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1112,f1048,f100,f40060]) ).
fof(f40060,plain,
( spl0_580
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,additive_identity,X4)
| ~ sum(X3,X0,X5)
| sum(X5,add(additive_inverse(X2),X1),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f1048,plain,
( spl0_82
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(additive_inverse(X2),X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1112,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,additive_identity,X4)
| ~ sum(X3,X0,X5)
| sum(X5,add(additive_inverse(X2),X1),X4) )
| ~ spl0_15
| ~ spl0_82 ),
inference(resolution,[],[f1049,f101]) ).
fof(f1049,plain,
( ! [X2,X0,X1] :
( sum(X0,add(additive_inverse(X2),X1),additive_identity)
| ~ sum(X0,X1,X2) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f40058,plain,
( spl0_579
| ~ spl0_14
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1111,f1048,f96,f40056]) ).
fof(f40056,plain,
( spl0_579
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,add(additive_inverse(X2),X1),X5)
| sum(X3,X5,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f1111,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,add(additive_inverse(X2),X1),X5)
| sum(X3,X5,additive_identity) )
| ~ spl0_14
| ~ spl0_82 ),
inference(resolution,[],[f1049,f97]) ).
fof(f40054,plain,
( spl0_578
| ~ spl0_15
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1080,f1044,f100,f40052]) ).
fof(f40052,plain,
( spl0_578
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,additive_identity,X4)
| ~ sum(X3,X0,X5)
| sum(X5,add(X1,additive_inverse(X2)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f1044,plain,
( spl0_81
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X1,additive_inverse(X2)),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1080,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,additive_identity,X4)
| ~ sum(X3,X0,X5)
| sum(X5,add(X1,additive_inverse(X2)),X4) )
| ~ spl0_15
| ~ spl0_81 ),
inference(resolution,[],[f1045,f101]) ).
fof(f1045,plain,
( ! [X2,X0,X1] :
( sum(X0,add(X1,additive_inverse(X2)),additive_identity)
| ~ sum(X0,X1,X2) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1044]) ).
fof(f40050,plain,
( spl0_577
| ~ spl0_14
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1079,f1044,f96,f40048]) ).
fof(f40048,plain,
( spl0_577
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,add(X1,additive_inverse(X2)),X5)
| sum(X3,X5,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f1079,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,add(X1,additive_inverse(X2)),X5)
| sum(X3,X5,additive_identity) )
| ~ spl0_14
| ~ spl0_81 ),
inference(resolution,[],[f1045,f97]) ).
fof(f40046,plain,
( spl0_576
| ~ spl0_52
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f734,f545,f392,f40044]) ).
fof(f40044,plain,
( spl0_576
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ product(X1,X2,additive_inverse(multiply(X1,X3)))
| ~ sum(X2,X3,X4)
| product(X1,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f734,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ product(X1,X2,additive_inverse(multiply(X1,X3)))
| ~ sum(X2,X3,X4)
| product(X1,X4,X0) )
| ~ spl0_52
| ~ spl0_71 ),
inference(resolution,[],[f546,f393]) ).
fof(f40042,plain,
( spl0_575
| ~ spl0_55
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f733,f545,f404,f40040]) ).
fof(f40040,plain,
( spl0_575
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ product(X1,X2,additive_inverse(multiply(X3,X2)))
| ~ sum(X1,X3,X4)
| product(X4,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f733,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ product(X1,X2,additive_inverse(multiply(X3,X2)))
| ~ sum(X1,X3,X4)
| product(X4,X2,X0) )
| ~ spl0_55
| ~ spl0_71 ),
inference(resolution,[],[f546,f405]) ).
fof(f39476,plain,
( spl0_574
| ~ spl0_58
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2523,f1942,f464,f39474]) ).
fof(f39474,plain,
( spl0_574
<=> ! [X0,X1] : sum(add(X0,additive_inverse(add(X1,X0))),X1,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f2523,plain,
( ! [X0,X1] : sum(add(X0,additive_inverse(add(X1,X0))),X1,additive_identity)
| ~ spl0_58
| ~ spl0_133 ),
inference(superposition,[],[f1943,f465]) ).
fof(f39026,plain,
( spl0_573
| ~ spl0_7
| ~ spl0_334
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f36779,f36776,f13903,f47,f39024]) ).
fof(f39024,plain,
( spl0_573
<=> ! [X3,X4,X0,X5,X2,X1] :
( sum(X0,add(X3,X4),add(X4,add(X5,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f36776,plain,
( spl0_564
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(add(X4,X5),X2))
| ~ sum(X1,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f36779,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sum(X0,add(X3,X4),add(X4,add(X5,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X5,X3) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_564 ),
inference(forward_demodulation,[],[f36777,f16100]) ).
fof(f36777,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(add(X4,X5),X2))
| ~ sum(X1,X5,X3) )
| ~ spl0_564 ),
inference(avatar_component_clause,[],[f36776]) ).
fof(f39022,plain,
( spl0_572
| ~ spl0_7
| ~ spl0_334
| ~ spl0_563 ),
inference(avatar_split_clause,[],[f36774,f36771,f13903,f47,f39020]) ).
fof(f39020,plain,
( spl0_572
<=> ! [X3,X4,X0,X5,X2,X1] :
( sum(X0,add(X3,X4),add(X5,add(X4,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f36771,plain,
( spl0_563
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(add(X5,X4),X2))
| ~ sum(X1,X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f36774,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sum(X0,add(X3,X4),add(X5,add(X4,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X5,X3) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_563 ),
inference(forward_demodulation,[],[f36772,f16100]) ).
fof(f36772,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(add(X5,X4),X2))
| ~ sum(X1,X5,X3) )
| ~ spl0_563 ),
inference(avatar_component_clause,[],[f36771]) ).
fof(f39018,plain,
( spl0_571
| ~ spl0_7
| ~ spl0_334
| ~ spl0_562 ),
inference(avatar_split_clause,[],[f36769,f36766,f13903,f47,f39016]) ).
fof(f39016,plain,
( spl0_571
<=> ! [X3,X4,X0,X5,X2,X1] :
( sum(X0,add(X3,add(X4,X5)),add(X4,X2))
| ~ sum(X0,X1,X2)
| ~ sum(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f36766,plain,
( spl0_562
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(add(X3,X4),X5),add(X4,X2))
| ~ sum(X5,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f36769,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sum(X0,add(X3,add(X4,X5)),add(X4,X2))
| ~ sum(X0,X1,X2)
| ~ sum(X5,X3,X1) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_562 ),
inference(forward_demodulation,[],[f36767,f16100]) ).
fof(f36767,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X0,add(add(X3,X4),X5),add(X4,X2))
| ~ sum(X5,X3,X1) )
| ~ spl0_562 ),
inference(avatar_component_clause,[],[f36766]) ).
fof(f38822,plain,
( spl0_570
| ~ spl0_7
| ~ spl0_334
| ~ spl0_560 ),
inference(avatar_split_clause,[],[f36760,f36756,f13903,f47,f38820]) ).
fof(f38820,plain,
( spl0_570
<=> ! [X2,X3,X4,X0,X5,X1] :
( sum(X2,X3,add(X4,add(X3,add(X1,X5))))
| ~ sum(X0,X1,X2)
| ~ sum(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f36756,plain,
( spl0_560
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(add(X4,add(X3,X1)),X5))
| ~ sum(X5,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f36760,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sum(X2,X3,add(X4,add(X3,add(X1,X5))))
| ~ sum(X0,X1,X2)
| ~ sum(X5,X4,X0) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_560 ),
inference(forward_demodulation,[],[f36759,f16100]) ).
fof(f36759,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sum(X2,X3,add(X4,add(add(X3,X1),X5)))
| ~ sum(X0,X1,X2)
| ~ sum(X5,X4,X0) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_560 ),
inference(forward_demodulation,[],[f36757,f16100]) ).
fof(f36757,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(add(X4,add(X3,X1)),X5))
| ~ sum(X5,X4,X0) )
| ~ spl0_560 ),
inference(avatar_component_clause,[],[f36756]) ).
fof(f38614,plain,
( spl0_569
| ~ spl0_31
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2516,f1942,f202,f38612]) ).
fof(f38612,plain,
( spl0_569
<=> ! [X0,X1] : add(X0,additive_inverse(add(X0,additive_inverse(X1)))) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f202,plain,
( spl0_31
<=> ! [X0,X1] :
( X0 = X1
| ~ sum(X0,additive_inverse(X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f2516,plain,
( ! [X0,X1] : add(X0,additive_inverse(add(X0,additive_inverse(X1)))) = X1
| ~ spl0_31
| ~ spl0_133 ),
inference(resolution,[],[f1943,f203]) ).
fof(f203,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| X0 = X1 )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f38588,plain,
( spl0_568
| ~ spl0_7
| ~ spl0_334
| ~ spl0_555 ),
inference(avatar_split_clause,[],[f36738,f36734,f13903,f47,f38586]) ).
fof(f38586,plain,
( spl0_568
<=> ! [X2,X3,X4,X0,X5,X1] :
( sum(X4,X5,add(X1,add(X3,add(X5,X0))))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f36734,plain,
( spl0_555
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(X4,X5,add(add(X1,add(X3,X5)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f36738,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sum(X4,X5,add(X1,add(X3,add(X5,X0))))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_555 ),
inference(forward_demodulation,[],[f36737,f16100]) ).
fof(f36737,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sum(X4,X5,add(X1,add(add(X3,X5),X0)))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_555 ),
inference(forward_demodulation,[],[f36735,f16100]) ).
fof(f36735,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(X4,X5,add(add(X1,add(X3,X5)),X0)) )
| ~ spl0_555 ),
inference(avatar_component_clause,[],[f36734]) ).
fof(f38584,plain,
( spl0_567
| ~ spl0_7
| ~ spl0_334
| ~ spl0_553 ),
inference(avatar_split_clause,[],[f36728,f36725,f13903,f47,f38582]) ).
fof(f38582,plain,
( spl0_567
<=> ! [X2,X3,X4,X0,X5,X1] :
( sum(X3,add(X1,add(X5,X0)),add(X4,X5))
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f36725,plain,
( spl0_553
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(add(X1,X5),X0),add(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f36728,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sum(X3,add(X1,add(X5,X0)),add(X4,X5))
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_553 ),
inference(forward_demodulation,[],[f36726,f16100]) ).
fof(f36726,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(add(X1,X5),X0),add(X4,X5)) )
| ~ spl0_553 ),
inference(avatar_component_clause,[],[f36725]) ).
fof(f37779,plain,
( spl0_566
| ~ spl0_30
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f2484,f1942,f198,f37777]) ).
fof(f37777,plain,
( spl0_566
<=> ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f36783,plain,
( spl0_565
| ~ spl0_58
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2406,f1922,f464,f36781]) ).
fof(f36781,plain,
( spl0_565
<=> ! [X0,X1] :
( ~ sum(add(X1,X0),additive_identity,X0)
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f1922,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f2406,plain,
( ! [X0,X1] :
( ~ sum(add(X1,X0),additive_identity,X0)
| additive_identity = X1 )
| ~ spl0_58
| ~ spl0_128 ),
inference(superposition,[],[f1923,f465]) ).
fof(f1923,plain,
( ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| additive_identity = X1 )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f36778,plain,
( spl0_564
| ~ spl0_90
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1623,f1561,f1341,f36776]) ).
fof(f1561,plain,
( spl0_97
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,add(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1623,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(add(X4,X5),X2))
| ~ sum(X1,X5,X3) )
| ~ spl0_90
| ~ spl0_97 ),
inference(resolution,[],[f1562,f1342]) ).
fof(f1562,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,add(X3,X2)) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f36773,plain,
( spl0_563
| ~ spl0_89
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1622,f1561,f1337,f36771]) ).
fof(f1622,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(add(X5,X4),X2))
| ~ sum(X1,X5,X3) )
| ~ spl0_89
| ~ spl0_97 ),
inference(resolution,[],[f1562,f1338]) ).
fof(f36768,plain,
( spl0_562
| ~ spl0_92
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1619,f1561,f1349,f36766]) ).
fof(f1619,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X0,add(add(X3,X4),X5),add(X4,X2))
| ~ sum(X5,X3,X1) )
| ~ spl0_92
| ~ spl0_97 ),
inference(resolution,[],[f1562,f1350]) ).
fof(f36764,plain,
( spl0_561
| ~ spl0_91
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1618,f1561,f1345,f36762]) ).
fof(f36762,plain,
( spl0_561
<=> ! [X3,X4,X0,X5,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,add(X4,X5)),add(X5,X2))
| ~ sum(X3,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f1618,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,add(X4,X5)),add(X5,X2))
| ~ sum(X3,X4,X1) )
| ~ spl0_91
| ~ spl0_97 ),
inference(resolution,[],[f1562,f1346]) ).
fof(f36758,plain,
( spl0_560
| ~ spl0_92
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1592,f1557,f1349,f36756]) ).
fof(f1557,plain,
( spl0_96
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X2,X4)
| sum(X4,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1592,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(add(X4,add(X3,X1)),X5))
| ~ sum(X5,X4,X0) )
| ~ spl0_92
| ~ spl0_96 ),
inference(resolution,[],[f1558,f1350]) ).
fof(f1558,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X2,X4)
| sum(X4,X1,X3) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f36754,plain,
( spl0_559
| ~ spl0_91
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1591,f1557,f1345,f36752]) ).
fof(f36752,plain,
( spl0_559
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X4,add(X5,add(X3,X1))))
| ~ sum(X4,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f1591,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X4,add(X5,add(X3,X1))))
| ~ sum(X4,X5,X0) )
| ~ spl0_91
| ~ spl0_96 ),
inference(resolution,[],[f1558,f1346]) ).
fof(f36750,plain,
( spl0_558
| ~ spl0_50
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1555,f1361,f371,f36748]) ).
fof(f36748,plain,
( spl0_558
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| product(X4,X5,multiply(X0,multiply(X1,multiply(X3,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f371,plain,
( spl0_50
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,multiply(X1,X2),X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1555,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| product(X4,X5,multiply(X0,multiply(X1,multiply(X3,X5)))) )
| ~ spl0_50
| ~ spl0_95 ),
inference(resolution,[],[f1362,f372]) ).
fof(f372,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X2),X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f36746,plain,
( spl0_557
| ~ spl0_49
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1552,f1361,f367,f36744]) ).
fof(f36744,plain,
( spl0_557
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X2,X4)
| product(X3,multiply(X0,multiply(X1,X5)),multiply(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f367,plain,
( spl0_49
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X0,X4,multiply(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f1552,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X2,X4)
| product(X3,multiply(X0,multiply(X1,X5)),multiply(X4,X5)) )
| ~ spl0_49
| ~ spl0_95 ),
inference(resolution,[],[f1362,f368]) ).
fof(f368,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,multiply(X2,X3)) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f36742,plain,
( spl0_556
| ~ spl0_49
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1541,f1357,f367,f36740]) ).
fof(f36740,plain,
( spl0_556
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X0,X4)
| product(X3,multiply(X2,X5),multiply(X4,multiply(X1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f1541,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X0,X4)
| product(X3,multiply(X2,X5),multiply(X4,multiply(X1,X5))) )
| ~ spl0_49
| ~ spl0_94 ),
inference(resolution,[],[f1358,f368]) ).
fof(f36736,plain,
( spl0_555
| ~ spl0_48
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1506,f1349,f363,f36734]) ).
fof(f363,plain,
( spl0_48
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X1,X4)
| sum(X4,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1506,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(X4,X5,add(add(X1,add(X3,X5)),X0)) )
| ~ spl0_48
| ~ spl0_92 ),
inference(resolution,[],[f1350,f364]) ).
fof(f364,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X1,X4)
| sum(X4,X2,X3) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f36732,plain,
( spl0_554
| ~ spl0_53
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2361,f1914,f396,f36730]) ).
fof(f36730,plain,
( spl0_554
<=> ! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X2,additive_inverse(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f2361,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X2,additive_inverse(X0),X1) )
| ~ spl0_53
| ~ spl0_126 ),
inference(superposition,[],[f1915,f397]) ).
fof(f36727,plain,
( spl0_553
| ~ spl0_47
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1498,f1349,f359,f36725]) ).
fof(f359,plain,
( spl0_47
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1498,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(add(X1,X5),X0),add(X4,X5)) )
| ~ spl0_47
| ~ spl0_92 ),
inference(resolution,[],[f1350,f360]) ).
fof(f360,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,add(X2,X3)) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f36723,plain,
( spl0_552
| ~ spl0_48
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1459,f1345,f363,f36721]) ).
fof(f36721,plain,
( spl0_552
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(X4,X5,add(X0,add(X1,add(X3,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f1459,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(X4,X5,add(X0,add(X1,add(X3,X5)))) )
| ~ spl0_48
| ~ spl0_91 ),
inference(resolution,[],[f1346,f364]) ).
fof(f36719,plain,
( spl0_551
| ~ spl0_47
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1451,f1345,f359,f36717]) ).
fof(f36717,plain,
( spl0_551
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(X0,add(X1,X5)),add(X4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f1451,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(X0,add(X1,X5)),add(X4,X5)) )
| ~ spl0_47
| ~ spl0_91 ),
inference(resolution,[],[f1346,f360]) ).
fof(f36715,plain,
( spl0_550
| ~ spl0_47
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1417,f1341,f359,f36713]) ).
fof(f36713,plain,
( spl0_550
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,X5),add(X4,add(X5,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f1417,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,X5),add(X4,add(X5,X1))) )
| ~ spl0_47
| ~ spl0_90 ),
inference(resolution,[],[f1342,f360]) ).
fof(f36711,plain,
( spl0_549
| ~ spl0_47
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1380,f1337,f359,f36709]) ).
fof(f36709,plain,
( spl0_549
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,X5),add(X4,add(X1,X5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f1380,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,X5),add(X4,add(X1,X5))) )
| ~ spl0_47
| ~ spl0_89 ),
inference(resolution,[],[f1338,f360]) ).
fof(f36707,plain,
( spl0_548
| ~ spl0_15
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1013,f815,f100,f36705]) ).
fof(f36705,plain,
( spl0_548
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,add(X0,X3),X4)
| ~ sum(X2,X1,X5)
| sum(X5,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f1013,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,add(X0,X3),X4)
| ~ sum(X2,X1,X5)
| sum(X5,X3,X4) )
| ~ spl0_15
| ~ spl0_79 ),
inference(resolution,[],[f816,f101]) ).
fof(f36703,plain,
( spl0_547
| ~ spl0_14
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1012,f815,f96,f36701]) ).
fof(f36701,plain,
( spl0_547
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X3,X1)
| ~ sum(X3,X4,X5)
| sum(X2,X5,add(X0,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f1012,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X3,X1)
| ~ sum(X3,X4,X5)
| sum(X2,X5,add(X0,X4)) )
| ~ spl0_14
| ~ spl0_79 ),
inference(resolution,[],[f816,f97]) ).
fof(f36699,plain,
( spl0_546
| ~ spl0_15
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f972,f811,f100,f36697]) ).
fof(f36697,plain,
( spl0_546
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(X1,X3),X4)
| ~ sum(X2,X0,X5)
| sum(X5,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f972,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(X1,X3),X4)
| ~ sum(X2,X0,X5)
| sum(X5,X3,X4) )
| ~ spl0_15
| ~ spl0_78 ),
inference(resolution,[],[f812,f101]) ).
fof(f36695,plain,
( spl0_545
| ~ spl0_14
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f971,f811,f96,f36693]) ).
fof(f36693,plain,
( spl0_545
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X3,X0)
| ~ sum(X3,X4,X5)
| sum(X2,X5,add(X1,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f971,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X3,X0)
| ~ sum(X3,X4,X5)
| sum(X2,X5,add(X1,X4)) )
| ~ spl0_14
| ~ spl0_78 ),
inference(resolution,[],[f812,f97]) ).
fof(f36691,plain,
( spl0_544
| ~ spl0_15
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f933,f807,f100,f36689]) ).
fof(f36689,plain,
( spl0_544
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| ~ sum(X3,add(X1,X0),X5)
| sum(X5,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f807,plain,
( spl0_77
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,X0),additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f933,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| ~ sum(X3,add(X1,X0),X5)
| sum(X5,additive_identity,X4) )
| ~ spl0_15
| ~ spl0_77 ),
inference(resolution,[],[f808,f101]) ).
fof(f808,plain,
( ! [X2,X0,X1] :
( sum(add(X1,X0),additive_identity,X2)
| ~ sum(X0,X1,X2) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f36687,plain,
( spl0_543
| ~ spl0_113
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2352,f1914,f1734,f36685]) ).
fof(f36685,plain,
( spl0_543
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,additive_inverse(X1))
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f2352,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,additive_inverse(X1))
| additive_identity = X1 )
| ~ spl0_113
| ~ spl0_126 ),
inference(resolution,[],[f1915,f1735]) ).
fof(f36683,plain,
( spl0_542
| ~ spl0_14
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f932,f807,f96,f36681]) ).
fof(f36681,plain,
( spl0_542
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,add(X1,X0))
| ~ sum(X4,additive_identity,X5)
| sum(X3,X5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f932,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,add(X1,X0))
| ~ sum(X4,additive_identity,X5)
| sum(X3,X5,X2) )
| ~ spl0_14
| ~ spl0_77 ),
inference(resolution,[],[f808,f97]) ).
fof(f36679,plain,
( spl0_541
| ~ spl0_15
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f895,f803,f100,f36677]) ).
fof(f36677,plain,
( spl0_541
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| ~ sum(X3,add(X0,X1),X5)
| sum(X5,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| ~ sum(X3,add(X0,X1),X5)
| sum(X5,additive_identity,X4) )
| ~ spl0_15
| ~ spl0_76 ),
inference(resolution,[],[f804,f101]) ).
fof(f36675,plain,
( spl0_540
| ~ spl0_14
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f894,f803,f96,f36673]) ).
fof(f36673,plain,
( spl0_540
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,add(X0,X1))
| ~ sum(X4,additive_identity,X5)
| sum(X3,X5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f894,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,add(X0,X1))
| ~ sum(X4,additive_identity,X5)
| sum(X3,X5,X2) )
| ~ spl0_14
| ~ spl0_76 ),
inference(resolution,[],[f804,f97]) ).
fof(f36671,plain,
( spl0_539
| ~ spl0_15
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f857,f799,f100,f36669]) ).
fof(f36669,plain,
( spl0_539
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X4)
| ~ sum(X2,X0,X5)
| sum(X5,add(X3,X1),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f799,plain,
( spl0_75
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X2,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f857,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X4)
| ~ sum(X2,X0,X5)
| sum(X5,add(X3,X1),X4) )
| ~ spl0_15
| ~ spl0_75 ),
inference(resolution,[],[f800,f101]) ).
fof(f800,plain,
( ! [X2,X0,X1] :
( sum(X0,add(X2,X1),X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f36667,plain,
( spl0_538
| ~ spl0_14
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f856,f799,f96,f36665]) ).
fof(f36665,plain,
( spl0_538
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X0)
| ~ sum(X3,add(X4,X1),X5)
| sum(X2,X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f856,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X0)
| ~ sum(X3,add(X4,X1),X5)
| sum(X2,X5,X4) )
| ~ spl0_14
| ~ spl0_75 ),
inference(resolution,[],[f800,f97]) ).
fof(f36663,plain,
( spl0_537
| ~ spl0_15
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f825,f795,f100,f36661]) ).
fof(f36661,plain,
( spl0_537
<=> ! [X2,X4,X0,X3,X5,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X4)
| ~ sum(X2,X0,X5)
| sum(X5,add(X1,X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f795,plain,
( spl0_74
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f825,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X4)
| ~ sum(X2,X0,X5)
| sum(X5,add(X1,X3),X4) )
| ~ spl0_15
| ~ spl0_74 ),
inference(resolution,[],[f796,f101]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( sum(X0,add(X1,X2),X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f36659,plain,
( spl0_536
| ~ spl0_14
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f824,f795,f96,f36657]) ).
fof(f36657,plain,
( spl0_536
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X0)
| ~ sum(X3,add(X1,X4),X5)
| sum(X2,X5,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f824,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X0)
| ~ sum(X3,add(X1,X4),X5)
| sum(X2,X5,X4) )
| ~ spl0_14
| ~ spl0_74 ),
inference(resolution,[],[f796,f97]) ).
fof(f36126,plain,
( spl0_535
| ~ spl0_60
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2319,f1914,f494,f36124]) ).
fof(f2319,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_inverse(X1),additive_identity,additive_identity) )
| ~ spl0_60
| ~ spl0_126 ),
inference(resolution,[],[f1915,f495]) ).
fof(f36033,plain,
( spl0_534
| ~ spl0_7
| ~ spl0_334
| ~ spl0_528 ),
inference(avatar_split_clause,[],[f33821,f33818,f13903,f47,f36031]) ).
fof(f36031,plain,
( spl0_534
<=> ! [X4,X0,X3,X2,X1] :
( sum(X0,additive_identity,add(additive_inverse(X3),add(X4,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f33818,plain,
( spl0_528
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(add(additive_inverse(X3),X4),X2))
| ~ sum(X1,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f33821,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X0,additive_identity,add(additive_inverse(X3),add(X4,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X4,X3) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_528 ),
inference(forward_demodulation,[],[f33819,f16100]) ).
fof(f33819,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(add(additive_inverse(X3),X4),X2))
| ~ sum(X1,X4,X3) )
| ~ spl0_528 ),
inference(avatar_component_clause,[],[f33818]) ).
fof(f36029,plain,
( spl0_533
| ~ spl0_7
| ~ spl0_334
| ~ spl0_527 ),
inference(avatar_split_clause,[],[f33816,f33813,f13903,f47,f36027]) ).
fof(f36027,plain,
( spl0_533
<=> ! [X4,X0,X3,X2,X1] :
( sum(X0,additive_identity,add(X3,add(additive_inverse(X4),X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f33813,plain,
( spl0_527
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(add(X3,additive_inverse(X4)),X2))
| ~ sum(X1,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f33816,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X0,additive_identity,add(X3,add(additive_inverse(X4),X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_527 ),
inference(forward_demodulation,[],[f33814,f16100]) ).
fof(f33814,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(add(X3,additive_inverse(X4)),X2))
| ~ sum(X1,X3,X4) )
| ~ spl0_527 ),
inference(avatar_component_clause,[],[f33813]) ).
fof(f35548,plain,
( spl0_532
| ~ spl0_7
| ~ spl0_334
| ~ spl0_521 ),
inference(avatar_split_clause,[],[f33791,f33788,f13903,f47,f35546]) ).
fof(f35546,plain,
( spl0_532
<=> ! [X2,X4,X0,X3,X1] :
( sum(X3,add(X1,add(additive_inverse(X4),X0)),additive_identity)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f33788,plain,
( spl0_521
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(add(X1,additive_inverse(X4)),X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f33791,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X3,add(X1,add(additive_inverse(X4),X0)),additive_identity)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_521 ),
inference(forward_demodulation,[],[f33789,f16100]) ).
fof(f33789,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(add(X1,additive_inverse(X4)),X0),additive_identity) )
| ~ spl0_521 ),
inference(avatar_component_clause,[],[f33788]) ).
fof(f35544,plain,
( spl0_531
| ~ spl0_7
| ~ spl0_334
| ~ spl0_520 ),
inference(avatar_split_clause,[],[f33786,f33783,f13903,f47,f35542]) ).
fof(f35542,plain,
( spl0_531
<=> ! [X2,X4,X0,X3,X1] :
( sum(add(X1,add(additive_inverse(X4),X0)),X4,X3)
| ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f33783,plain,
( spl0_520
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(add(add(X1,additive_inverse(X4)),X0),X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f33786,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(add(X1,add(additive_inverse(X4),X0)),X4,X3)
| ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_520 ),
inference(forward_demodulation,[],[f33784,f16100]) ).
fof(f33784,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(add(add(X1,additive_inverse(X4)),X0),X4,X3) )
| ~ spl0_520 ),
inference(avatar_component_clause,[],[f33783]) ).
fof(f35415,plain,
( spl0_530
| ~ spl0_93
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2318,f1914,f1353,f35413]) ).
fof(f35413,plain,
( spl0_530
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,additive_identity,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f2318,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,additive_identity,additive_inverse(X1)) )
| ~ spl0_93
| ~ spl0_126 ),
inference(resolution,[],[f1915,f1354]) ).
fof(f34192,plain,
( spl0_529
| ~ spl0_111
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2317,f1914,f1690,f34190]) ).
fof(f34190,plain,
( spl0_529
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,additive_inverse(X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f2317,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,additive_inverse(X1),additive_identity) )
| ~ spl0_111
| ~ spl0_126 ),
inference(resolution,[],[f1915,f1691]) ).
fof(f33820,plain,
( spl0_528
| ~ spl0_82
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1613,f1561,f1048,f33818]) ).
fof(f1613,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(add(additive_inverse(X3),X4),X2))
| ~ sum(X1,X4,X3) )
| ~ spl0_82
| ~ spl0_97 ),
inference(resolution,[],[f1562,f1049]) ).
fof(f33815,plain,
( spl0_527
| ~ spl0_81
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1612,f1561,f1044,f33813]) ).
fof(f1612,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(add(X3,additive_inverse(X4)),X2))
| ~ sum(X1,X3,X4) )
| ~ spl0_81
| ~ spl0_97 ),
inference(resolution,[],[f1562,f1045]) ).
fof(f33811,plain,
( spl0_526
| ~ spl0_84
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1608,f1561,f1056,f33809]) ).
fof(f33809,plain,
( spl0_526
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,add(additive_inverse(X1),X2),X3)
| sum(X0,X4,add(X1,X3))
| ~ sum(X2,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f1608,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(additive_inverse(X1),X2),X3)
| sum(X0,X4,add(X1,X3))
| ~ sum(X2,additive_identity,X4) )
| ~ spl0_84
| ~ spl0_97 ),
inference(resolution,[],[f1562,f1057]) ).
fof(f33807,plain,
( spl0_525
| ~ spl0_83
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1607,f1561,f1052,f33805]) ).
fof(f33805,plain,
( spl0_525
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,add(X1,additive_inverse(X2)),X3)
| sum(X0,X4,add(X2,X3))
| ~ sum(X1,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f1607,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,additive_inverse(X2)),X3)
| sum(X0,X4,add(X2,X3))
| ~ sum(X1,additive_identity,X4) )
| ~ spl0_83
| ~ spl0_97 ),
inference(resolution,[],[f1562,f1053]) ).
fof(f33803,plain,
( spl0_524
| ~ spl0_84
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1581,f1557,f1056,f33801]) ).
fof(f33801,plain,
( spl0_524
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(add(additive_inverse(add(X0,X1)),X2),X1,X3)
| sum(X3,X0,X4)
| ~ sum(X2,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f1581,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(add(additive_inverse(add(X0,X1)),X2),X1,X3)
| sum(X3,X0,X4)
| ~ sum(X2,additive_identity,X4) )
| ~ spl0_84
| ~ spl0_96 ),
inference(resolution,[],[f1558,f1057]) ).
fof(f33799,plain,
( spl0_523
| ~ spl0_103
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2315,f1914,f1640,f33797]) ).
fof(f33797,plain,
( spl0_523
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| additive_identity = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f2315,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| additive_identity = additive_inverse(X1) )
| ~ spl0_103
| ~ spl0_126 ),
inference(resolution,[],[f1915,f1641]) ).
fof(f33795,plain,
( spl0_522
| ~ spl0_83
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1580,f1557,f1052,f33793]) ).
fof(f33793,plain,
( spl0_522
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(add(X0,additive_inverse(add(X1,X2))),X2,X3)
| sum(X3,X1,X4)
| ~ sum(X0,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f1580,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(add(X0,additive_inverse(add(X1,X2))),X2,X3)
| sum(X3,X1,X4)
| ~ sum(X0,additive_identity,X4) )
| ~ spl0_83
| ~ spl0_96 ),
inference(resolution,[],[f1558,f1053]) ).
fof(f33790,plain,
( spl0_521
| ~ spl0_43
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1510,f1349,f318,f33788]) ).
fof(f318,plain,
( spl0_43
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,additive_inverse(X2),X3)
| sum(X0,X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1510,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(add(X1,additive_inverse(X4)),X0),additive_identity) )
| ~ spl0_43
| ~ spl0_92 ),
inference(resolution,[],[f1350,f319]) ).
fof(f319,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X1,additive_inverse(X2),X3)
| ~ sum(X0,X1,X2)
| sum(X0,X3,additive_identity) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f33785,plain,
( spl0_520
| ~ spl0_44
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1509,f1349,f322,f33783]) ).
fof(f322,plain,
( spl0_44
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_inverse(X2),X3)
| sum(X3,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1509,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(add(add(X1,additive_inverse(X4)),X0),X4,X3) )
| ~ spl0_44
| ~ spl0_92 ),
inference(resolution,[],[f1350,f323]) ).
fof(f323,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X2),X3)
| ~ sum(X0,additive_identity,X1)
| sum(X3,X2,X1) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f33781,plain,
( spl0_519
| ~ spl0_43
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1463,f1345,f318,f33779]) ).
fof(f33779,plain,
( spl0_519
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(X0,add(X1,additive_inverse(X4))),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f1463,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(X0,add(X1,additive_inverse(X4))),additive_identity) )
| ~ spl0_43
| ~ spl0_91 ),
inference(resolution,[],[f1346,f319]) ).
fof(f33777,plain,
( spl0_518
| ~ spl0_44
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1462,f1345,f322,f33775]) ).
fof(f33775,plain,
( spl0_518
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(add(X0,add(X1,additive_inverse(X4))),X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f1462,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(add(X0,add(X1,additive_inverse(X4))),X4,X3) )
| ~ spl0_44
| ~ spl0_91 ),
inference(resolution,[],[f1346,f323]) ).
fof(f33773,plain,
( spl0_517
| ~ spl0_48
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1210,f1056,f363,f33771]) ).
fof(f33771,plain,
( spl0_517
<=> ! [X2,X4,X0,X3,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(additive_inverse(add(X2,X3)),X0),X2,X4)
| sum(X4,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f1210,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(additive_inverse(add(X2,X3)),X0),X2,X4)
| sum(X4,X3,X1) )
| ~ spl0_48
| ~ spl0_84 ),
inference(resolution,[],[f1057,f364]) ).
fof(f33769,plain,
( spl0_516
| ~ spl0_47
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1194,f1056,f359,f33767]) ).
fof(f33767,plain,
( spl0_516
<=> ! [X2,X4,X0,X3,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(additive_inverse(X3),X0),X4)
| sum(X2,X1,add(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f1194,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(additive_inverse(X3),X0),X4)
| sum(X2,X1,add(X4,X3)) )
| ~ spl0_47
| ~ spl0_84 ),
inference(resolution,[],[f1057,f360]) ).
fof(f33765,plain,
( spl0_515
| ~ spl0_48
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1159,f1052,f363,f33763]) ).
fof(f33763,plain,
( spl0_515
<=> ! [X2,X4,X0,X3,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(X0,additive_inverse(add(X2,X3))),X2,X4)
| sum(X4,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f1159,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(X0,additive_inverse(add(X2,X3))),X2,X4)
| sum(X4,X3,X1) )
| ~ spl0_48
| ~ spl0_83 ),
inference(resolution,[],[f1053,f364]) ).
fof(f33761,plain,
( spl0_514
| ~ spl0_47
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1143,f1052,f359,f33759]) ).
fof(f33759,plain,
( spl0_514
<=> ! [X2,X4,X0,X3,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(X0,additive_inverse(X3)),X4)
| sum(X2,X1,add(X4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f1143,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(X0,additive_inverse(X3)),X4)
| sum(X2,X1,add(X4,X3)) )
| ~ spl0_47
| ~ spl0_83 ),
inference(resolution,[],[f1053,f360]) ).
fof(f33757,plain,
( spl0_513
| ~ spl0_47
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1116,f1048,f359,f33755]) ).
fof(f33755,plain,
( spl0_513
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,additive_identity,add(X4,add(additive_inverse(X2),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f1116,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,additive_identity,add(X4,add(additive_inverse(X2),X1))) )
| ~ spl0_47
| ~ spl0_82 ),
inference(resolution,[],[f1049,f360]) ).
fof(f33753,plain,
( spl0_512
| ~ spl0_93
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f2242,f1906,f1353,f33751]) ).
fof(f33751,plain,
( spl0_512
<=> ! [X0] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f2242,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_93
| ~ spl0_124 ),
inference(resolution,[],[f1907,f1354]) ).
fof(f33749,plain,
( spl0_511
| ~ spl0_47
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1084,f1044,f359,f33747]) ).
fof(f33747,plain,
( spl0_511
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,additive_identity,add(X4,add(X1,additive_inverse(X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f1084,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,additive_identity,add(X4,add(X1,additive_inverse(X2)))) )
| ~ spl0_47
| ~ spl0_81 ),
inference(resolution,[],[f1045,f360]) ).
fof(f33745,plain,
( spl0_510
| ~ spl0_15
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f766,f549,f100,f33743]) ).
fof(f33743,plain,
( spl0_510
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| ~ sum(X3,X2,X5)
| sum(X5,additive_inverse(X1),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f766,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| ~ sum(X3,X2,X5)
| sum(X5,additive_inverse(X1),X4) )
| ~ spl0_15
| ~ spl0_72 ),
inference(resolution,[],[f550,f101]) ).
fof(f33741,plain,
( spl0_509
| ~ spl0_14
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f765,f549,f96,f33739]) ).
fof(f33739,plain,
( spl0_509
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,additive_inverse(X1),X5)
| sum(X3,X5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f765,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X4,additive_inverse(X1),X5)
| sum(X3,X5,X0) )
| ~ spl0_14
| ~ spl0_72 ),
inference(resolution,[],[f550,f97]) ).
fof(f33737,plain,
( spl0_508
| ~ spl0_15
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f715,f545,f100,f33735]) ).
fof(f33735,plain,
( spl0_508
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,X0,X2)
| ~ sum(X1,additive_inverse(X3),X4)
| sum(X4,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f715,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,X0,X2)
| ~ sum(X1,additive_inverse(X3),X4)
| sum(X4,X3,X2) )
| ~ spl0_15
| ~ spl0_71 ),
inference(resolution,[],[f546,f101]) ).
fof(f33733,plain,
( spl0_507
| ~ spl0_14
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f714,f545,f96,f33731]) ).
fof(f33731,plain,
( spl0_507
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,X2,additive_inverse(X3))
| ~ sum(X2,X3,X4)
| sum(X1,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f714,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,X2,additive_inverse(X3))
| ~ sum(X2,X3,X4)
| sum(X1,X4,X0) )
| ~ spl0_14
| ~ spl0_71 ),
inference(resolution,[],[f546,f97]) ).
fof(f33729,plain,
( spl0_506
| ~ spl0_15
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f689,f541,f100,f33727]) ).
fof(f33727,plain,
( spl0_506
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,additive_identity,X3)
| ~ sum(X2,X0,X4)
| sum(X4,additive_inverse(X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f541,plain,
( spl0_70
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,additive_inverse(X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f689,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,additive_identity,X3)
| ~ sum(X2,X0,X4)
| sum(X4,additive_inverse(X1),X3) )
| ~ spl0_15
| ~ spl0_70 ),
inference(resolution,[],[f542,f101]) ).
fof(f542,plain,
( ! [X0,X1] :
( sum(X0,additive_inverse(X1),additive_identity)
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f33725,plain,
( spl0_505
| ~ spl0_14
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f688,f541,f96,f33723]) ).
fof(f33723,plain,
( spl0_505
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X3,X0)
| ~ sum(X3,additive_inverse(X1),X4)
| sum(X2,X4,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f688,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X3,X0)
| ~ sum(X3,additive_inverse(X1),X4)
| sum(X2,X4,additive_identity) )
| ~ spl0_14
| ~ spl0_70 ),
inference(resolution,[],[f542,f97]) ).
fof(f33721,plain,
( spl0_504
| ~ spl0_15
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f592,f521,f100,f33719]) ).
fof(f33719,plain,
( spl0_504
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,additive_inverse(X1),X3)
| ~ sum(X2,X0,X4)
| sum(X4,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f521,plain,
( spl0_65
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,additive_identity,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f592,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,additive_inverse(X1),X3)
| ~ sum(X2,X0,X4)
| sum(X4,additive_identity,X3) )
| ~ spl0_15
| ~ spl0_65 ),
inference(resolution,[],[f522,f101]) ).
fof(f522,plain,
( ! [X0,X1] :
( sum(X0,additive_identity,additive_inverse(X1))
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f33717,plain,
( spl0_503
| ~ spl0_14
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f591,f521,f96,f33715]) ).
fof(f33715,plain,
( spl0_503
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X0)
| ~ sum(X3,additive_identity,X4)
| sum(X2,X4,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f591,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X3,X0)
| ~ sum(X3,additive_identity,X4)
| sum(X2,X4,additive_inverse(X1)) )
| ~ spl0_14
| ~ spl0_65 ),
inference(resolution,[],[f522,f97]) ).
fof(f33629,plain,
( spl0_502
| ~ spl0_53
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2190,f1894,f396,f33627]) ).
fof(f33627,plain,
( spl0_502
<=> ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(X1,additive_identity,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f2190,plain,
( ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(X1,additive_identity,additive_inverse(X0)) )
| ~ spl0_53
| ~ spl0_121 ),
inference(superposition,[],[f1895,f397]) ).
fof(f33106,plain,
( spl0_501
| ~ spl0_7
| ~ spl0_334
| ~ spl0_493 ),
inference(avatar_split_clause,[],[f31198,f31195,f13903,f47,f33104]) ).
fof(f33104,plain,
( spl0_501
<=> ! [X4,X0,X3,X2,X1] :
( sum(X0,X3,add(X4,add(X3,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X4,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f31195,plain,
( spl0_493
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X4,X3),X2))
| ~ sum(X1,X4,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f31198,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X0,X3,add(X4,add(X3,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_493 ),
inference(forward_demodulation,[],[f31196,f16100]) ).
fof(f31196,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X4,X3),X2))
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_493 ),
inference(avatar_component_clause,[],[f31195]) ).
fof(f33102,plain,
( spl0_500
| ~ spl0_7
| ~ spl0_334
| ~ spl0_491 ),
inference(avatar_split_clause,[],[f31189,f31186,f13903,f47,f33100]) ).
fof(f33100,plain,
( spl0_500
<=> ! [X4,X0,X3,X2,X1] :
( sum(X0,X3,add(X3,add(X4,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X4,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f31186,plain,
( spl0_491
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X3,X4),X2))
| ~ sum(X1,X4,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f31189,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X0,X3,add(X3,add(X4,X2)))
| ~ sum(X0,X1,X2)
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_491 ),
inference(forward_demodulation,[],[f31187,f16100]) ).
fof(f31187,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X3,X4),X2))
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_491 ),
inference(avatar_component_clause,[],[f31186]) ).
fof(f32856,plain,
( spl0_499
| ~ spl0_7
| ~ spl0_334
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f31176,f31173,f13903,f47,f32854]) ).
fof(f32854,plain,
( spl0_499
<=> ! [X2,X4,X0,X3,X1] :
( sum(add(X1,add(X3,X0)),additive_identity,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f31173,plain,
( spl0_488
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(add(X1,X3),X0),additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f31176,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(add(X1,add(X3,X0)),additive_identity,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_488 ),
inference(forward_demodulation,[],[f31174,f16100]) ).
fof(f31174,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(add(X1,X3),X0),additive_identity,X4) )
| ~ spl0_488 ),
inference(avatar_component_clause,[],[f31173]) ).
fof(f32852,plain,
( spl0_498
| ~ spl0_59
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f2171,f1894,f490,f32850]) ).
fof(f32850,plain,
( spl0_498
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_inverse(X0),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f490,plain,
( spl0_59
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2171,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_inverse(X0),X1,X1) )
| ~ spl0_59
| ~ spl0_121 ),
inference(resolution,[],[f1895,f491]) ).
fof(f491,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f32848,plain,
( spl0_497
| ~ spl0_7
| ~ spl0_334
| ~ spl0_487 ),
inference(avatar_split_clause,[],[f31171,f31168,f13903,f47,f32846]) ).
fof(f32846,plain,
( spl0_497
<=> ! [X2,X4,X0,X3,X1] :
( sum(X3,add(X1,add(X4,X0)),X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f31168,plain,
( spl0_487
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,add(add(X1,X4),X0),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f31171,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X3,add(X1,add(X4,X0)),X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_487 ),
inference(forward_demodulation,[],[f31169,f16100]) ).
fof(f31169,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,add(add(X1,X4),X0),X4) )
| ~ spl0_487 ),
inference(avatar_component_clause,[],[f31168]) ).
fof(f32071,plain,
( spl0_496
| ~ spl0_53
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2089,f1878,f396,f32069]) ).
fof(f32069,plain,
( spl0_496
<=> ! [X0,X1] :
( sum(X0,X1,X1)
| ~ sum(additive_identity,additive_inverse(X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f2089,plain,
( ! [X0,X1] :
( sum(X0,X1,X1)
| ~ sum(additive_identity,additive_inverse(X0),additive_identity) )
| ~ spl0_53
| ~ spl0_117 ),
inference(superposition,[],[f1879,f397]) ).
fof(f31206,plain,
( spl0_495
| ~ spl0_78
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1617,f1561,f811,f31204]) ).
fof(f31204,plain,
( spl0_495
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(X4,X2))
| ~ sum(X1,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f1617,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(X4,X2))
| ~ sum(X1,additive_identity,X3) )
| ~ spl0_78
| ~ spl0_97 ),
inference(resolution,[],[f1562,f812]) ).
fof(f31202,plain,
( spl0_494
| ~ spl0_79
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1616,f1561,f815,f31200]) ).
fof(f31200,plain,
( spl0_494
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(X4,X2))
| ~ sum(additive_identity,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f1616,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(X4,X2))
| ~ sum(additive_identity,X3,X1) )
| ~ spl0_79
| ~ spl0_97 ),
inference(resolution,[],[f1562,f816]) ).
fof(f31197,plain,
( spl0_493
| ~ spl0_74
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1604,f1561,f795,f31195]) ).
fof(f1604,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X4,X3),X2))
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_74
| ~ spl0_97 ),
inference(resolution,[],[f1562,f796]) ).
fof(f31193,plain,
( spl0_492
| ~ spl0_8
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2055,f1878,f51,f31191]) ).
fof(f31191,plain,
( spl0_492
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(X1,additive_inverse(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f2055,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(X1,additive_inverse(X0),X1) )
| ~ spl0_8
| ~ spl0_117 ),
inference(resolution,[],[f1879,f52]) ).
fof(f31188,plain,
( spl0_491
| ~ spl0_75
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1602,f1561,f799,f31186]) ).
fof(f1602,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X3,X4),X2))
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_75
| ~ spl0_97 ),
inference(resolution,[],[f1562,f800]) ).
fof(f31184,plain,
( spl0_490
| ~ spl0_78
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1590,f1557,f811,f31182]) ).
fof(f31182,plain,
( spl0_490
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X4,add(X3,X1)))
| ~ sum(X0,additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f1590,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X4,add(X3,X1)))
| ~ sum(X0,additive_identity,X4) )
| ~ spl0_78
| ~ spl0_96 ),
inference(resolution,[],[f1558,f812]) ).
fof(f31180,plain,
( spl0_489
| ~ spl0_79
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1589,f1557,f815,f31178]) ).
fof(f31178,plain,
( spl0_489
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X4,add(X3,X1)))
| ~ sum(additive_identity,X4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f1589,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X4,add(X3,X1)))
| ~ sum(additive_identity,X4,X0) )
| ~ spl0_79
| ~ spl0_96 ),
inference(resolution,[],[f1558,f816]) ).
fof(f31175,plain,
( spl0_488
| ~ spl0_40
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1497,f1349,f278,f31173]) ).
fof(f278,plain,
( spl0_40
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1497,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(add(X1,X3),X0),additive_identity,X4) )
| ~ spl0_40
| ~ spl0_92 ),
inference(resolution,[],[f1350,f279]) ).
fof(f279,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| sum(X3,additive_identity,X2) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f31170,plain,
( spl0_487
| ~ spl0_37
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1496,f1349,f266,f31168]) ).
fof(f266,plain,
( spl0_37
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| sum(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1496,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,add(add(X1,X4),X0),X4) )
| ~ spl0_37
| ~ spl0_92 ),
inference(resolution,[],[f1350,f267]) ).
fof(f267,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X0,X3,X2) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f31166,plain,
( spl0_486
| ~ spl0_40
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1450,f1345,f278,f31164]) ).
fof(f31164,plain,
( spl0_486
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(X0,add(X1,X3)),additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f1450,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(X0,add(X1,X3)),additive_identity,X4) )
| ~ spl0_40
| ~ spl0_91 ),
inference(resolution,[],[f1346,f279]) ).
fof(f31162,plain,
( spl0_485
| ~ spl0_37
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1449,f1345,f266,f31160]) ).
fof(f31160,plain,
( spl0_485
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,add(X0,add(X1,X4)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f1449,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,add(X0,add(X1,X4)),X4) )
| ~ spl0_37
| ~ spl0_91 ),
inference(resolution,[],[f1346,f267]) ).
fof(f31158,plain,
( spl0_484
| ~ spl0_40
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1416,f1341,f278,f31156]) ).
fof(f31156,plain,
( spl0_484
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X3,X1),X4)
| sum(add(X2,X3),additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f1416,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X3,X1),X4)
| sum(add(X2,X3),additive_identity,X4) )
| ~ spl0_40
| ~ spl0_90 ),
inference(resolution,[],[f1342,f279]) ).
fof(f31154,plain,
( spl0_483
| ~ spl0_37
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1415,f1341,f266,f31152]) ).
fof(f31152,plain,
( spl0_483
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,add(X2,X4),add(X4,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f1415,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,add(X2,X4),add(X4,X1)) )
| ~ spl0_37
| ~ spl0_90 ),
inference(resolution,[],[f1342,f267]) ).
fof(f31150,plain,
( spl0_482
| ~ spl0_40
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1379,f1337,f278,f31148]) ).
fof(f31148,plain,
( spl0_482
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X1,X3),X4)
| sum(add(X2,X3),additive_identity,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f1379,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X1,X3),X4)
| sum(add(X2,X3),additive_identity,X4) )
| ~ spl0_40
| ~ spl0_89 ),
inference(resolution,[],[f1338,f279]) ).
fof(f31146,plain,
( spl0_481
| ~ spl0_53
| ~ spl0_114 ),
inference(avatar_split_clause,[],[f1990,f1866,f396,f31144]) ).
fof(f31144,plain,
( spl0_481
<=> ! [X0,X1] :
( sum(additive_identity,X1,X0)
| ~ sum(X1,additive_inverse(X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f1990,plain,
( ! [X0,X1] :
( sum(additive_identity,X1,X0)
| ~ sum(X1,additive_inverse(X0),additive_identity) )
| ~ spl0_53
| ~ spl0_114 ),
inference(superposition,[],[f1867,f397]) ).
fof(f31142,plain,
( spl0_480
| ~ spl0_37
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1378,f1337,f266,f31140]) ).
fof(f31140,plain,
( spl0_480
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,add(X2,X4),add(X1,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f1378,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,add(X2,X4),add(X1,X4)) )
| ~ spl0_37
| ~ spl0_89 ),
inference(resolution,[],[f1338,f267]) ).
fof(f31138,plain,
( spl0_479
| ~ spl0_45
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1272,f1064,f326,f31136]) ).
fof(f31136,plain,
( spl0_479
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X4,additive_inverse(X3),add(X2,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f326,plain,
( spl0_45
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1272,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X4,additive_inverse(X3),add(X2,additive_inverse(X1))) )
| ~ spl0_45
| ~ spl0_86 ),
inference(resolution,[],[f1065,f327]) ).
fof(f327,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),X1) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f31134,plain,
( spl0_478
| ~ spl0_45
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1233,f1060,f326,f31132]) ).
fof(f31132,plain,
( spl0_478
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X0,X3,X4)
| sum(X4,additive_inverse(X3),add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f1233,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X0,X3,X4)
| sum(X4,additive_inverse(X3),add(X2,X1)) )
| ~ spl0_45
| ~ spl0_85 ),
inference(resolution,[],[f1061,f327]) ).
fof(f31130,plain,
( spl0_477
| ~ spl0_42
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1202,f1056,f314,f31128]) ).
fof(f31128,plain,
( spl0_477
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| ~ sum(X2,X1,X3)
| sum(add(additive_inverse(X2),X0),X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f314,plain,
( spl0_42
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| ~ sum(X1,X2,X3)
| sum(X0,X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1202,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| ~ sum(X2,X1,X3)
| sum(add(additive_inverse(X2),X0),X3,additive_identity) )
| ~ spl0_42
| ~ spl0_84 ),
inference(resolution,[],[f1057,f315]) ).
fof(f315,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| ~ sum(X1,X2,X3)
| sum(X0,X3,additive_identity) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f31126,plain,
( spl0_476
| ~ spl0_42
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1151,f1052,f314,f31124]) ).
fof(f31124,plain,
( spl0_476
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| ~ sum(X2,X1,X3)
| sum(add(X0,additive_inverse(X2)),X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f1151,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| ~ sum(X2,X1,X3)
| sum(add(X0,additive_inverse(X2)),X3,additive_identity) )
| ~ spl0_42
| ~ spl0_83 ),
inference(resolution,[],[f1053,f315]) ).
fof(f31122,plain,
( spl0_475
| ~ spl0_48
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1025,f815,f363,f31120]) ).
fof(f31120,plain,
( spl0_475
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(X3,X4,add(X0,add(X2,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f1025,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(X3,X4,add(X0,add(X2,X4))) )
| ~ spl0_48
| ~ spl0_79 ),
inference(resolution,[],[f816,f364]) ).
fof(f31118,plain,
( spl0_474
| ~ spl0_47
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1017,f815,f359,f31116]) ).
fof(f31116,plain,
( spl0_474
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3)
| sum(X2,add(X0,X4),add(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f1017,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3)
| sum(X2,add(X0,X4),add(X3,X4)) )
| ~ spl0_47
| ~ spl0_79 ),
inference(resolution,[],[f816,f360]) ).
fof(f31114,plain,
( spl0_473
| ~ spl0_48
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f984,f811,f363,f31112]) ).
fof(f31112,plain,
( spl0_473
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,X4,add(X1,add(X2,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f984,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,X4,add(X1,add(X2,X4))) )
| ~ spl0_48
| ~ spl0_78 ),
inference(resolution,[],[f812,f364]) ).
fof(f31110,plain,
( spl0_472
| ~ spl0_47
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f976,f811,f359,f31108]) ).
fof(f31108,plain,
( spl0_472
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,add(X1,X4),add(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f976,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,add(X1,X4),add(X3,X4)) )
| ~ spl0_47
| ~ spl0_78 ),
inference(resolution,[],[f812,f360]) ).
fof(f31106,plain,
( spl0_471
| ~ spl0_47
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f861,f799,f359,f31104]) ).
fof(f31104,plain,
( spl0_471
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,X4,add(X3,add(X4,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f861,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,X4,add(X3,add(X4,X1))) )
| ~ spl0_47
| ~ spl0_75 ),
inference(resolution,[],[f800,f360]) ).
fof(f31102,plain,
( spl0_470
| ~ spl0_71
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f1739,f1353,f545,f31100]) ).
fof(f31100,plain,
( spl0_470
<=> ! [X0] :
( sum(additive_identity,additive_identity,additive_inverse(X0))
| ~ sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f1739,plain,
( ! [X0] :
( sum(additive_identity,additive_identity,additive_inverse(X0))
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_71
| ~ spl0_93 ),
inference(resolution,[],[f1354,f546]) ).
fof(f31098,plain,
( spl0_469
| ~ spl0_47
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f829,f795,f359,f31096]) ).
fof(f31096,plain,
( spl0_469
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,X4,add(X3,add(X1,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f829,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,X4,add(X3,add(X1,X4))) )
| ~ spl0_47
| ~ spl0_74 ),
inference(resolution,[],[f796,f360]) ).
fof(f29154,plain,
( spl0_468
| ~ spl0_7
| ~ spl0_334
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f24860,f24857,f13903,f47,f29152]) ).
fof(f29152,plain,
( spl0_468
<=> ! [X0,X3,X2,X1] :
( sum(add(X1,add(X2,X0)),X3,additive_identity)
| ~ sum(X0,X1,additive_inverse(add(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f24857,plain,
( spl0_453
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_inverse(add(X2,X3)))
| sum(add(add(X1,X2),X0),X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f24860,plain,
( ! [X2,X3,X0,X1] :
( sum(add(X1,add(X2,X0)),X3,additive_identity)
| ~ sum(X0,X1,additive_inverse(add(X2,X3))) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_453 ),
inference(forward_demodulation,[],[f24858,f16100]) ).
fof(f24858,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(add(X2,X3)))
| sum(add(add(X1,X2),X0),X3,additive_identity) )
| ~ spl0_453 ),
inference(avatar_component_clause,[],[f24857]) ).
fof(f29150,plain,
( spl0_467
| ~ spl0_7
| ~ spl0_334
| ~ spl0_452 ),
inference(avatar_split_clause,[],[f24855,f24852,f13903,f47,f29148]) ).
fof(f29148,plain,
( spl0_467
<=> ! [X2,X4,X0,X3,X1] :
( ~ sum(X3,X4,add(X1,add(X4,X0)))
| ~ sum(X0,X1,X2)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f24852,plain,
( spl0_452
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(X3,X4,add(add(X1,X4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f24855,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,add(X1,add(X4,X0)))
| ~ sum(X0,X1,X2)
| X2 = X3 )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_452 ),
inference(forward_demodulation,[],[f24853,f16100]) ).
fof(f24853,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(X3,X4,add(add(X1,X4),X0)) )
| ~ spl0_452 ),
inference(avatar_component_clause,[],[f24852]) ).
fof(f29146,plain,
( spl0_466
| ~ spl0_7
| ~ spl0_334
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f24850,f24847,f13903,f47,f29144]) ).
fof(f29144,plain,
( spl0_466
<=> ! [X2,X4,X0,X3,X1] :
( ~ sum(X2,X3,add(X1,add(X4,X0)))
| ~ sum(X0,X1,X2)
| X3 = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f24847,plain,
( spl0_451
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X3 = X4
| ~ sum(X2,X3,add(add(X1,X4),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f24850,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X2,X3,add(X1,add(X4,X0)))
| ~ sum(X0,X1,X2)
| X3 = X4 )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_451 ),
inference(forward_demodulation,[],[f24848,f16100]) ).
fof(f24848,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| X3 = X4
| ~ sum(X2,X3,add(add(X1,X4),X0)) )
| ~ spl0_451 ),
inference(avatar_component_clause,[],[f24847]) ).
fof(f29142,plain,
( spl0_465
| ~ spl0_7
| ~ spl0_334
| ~ spl0_450 ),
inference(avatar_split_clause,[],[f24845,f24842,f13903,f47,f29140]) ).
fof(f29140,plain,
( spl0_465
<=> ! [X2,X4,X0,X3,X1] :
( add(X1,add(X4,X0)) = X3
| ~ sum(X0,X1,X2)
| ~ sum(X2,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f24842,plain,
( spl0_450
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(add(X1,X4),X0) = X3
| ~ sum(X2,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f24845,plain,
( ! [X2,X3,X0,X1,X4] :
( add(X1,add(X4,X0)) = X3
| ~ sum(X0,X1,X2)
| ~ sum(X2,X4,X3) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_450 ),
inference(forward_demodulation,[],[f24843,f16100]) ).
fof(f24843,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(add(X1,X4),X0) = X3
| ~ sum(X2,X4,X3) )
| ~ spl0_450 ),
inference(avatar_component_clause,[],[f24842]) ).
fof(f28135,plain,
( spl0_464
| ~ spl0_7
| ~ spl0_334
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f24820,f24817,f13903,f47,f28133]) ).
fof(f28133,plain,
( spl0_464
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_inverse(add(X0,add(X1,X2))),X1,X3)
| sum(add(X3,X0),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f24817,plain,
( spl0_444
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X1,X3)
| sum(add(X3,X0),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f24820,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(X0,add(X1,X2))),X1,X3)
| sum(add(X3,X0),X2,additive_identity) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_444 ),
inference(forward_demodulation,[],[f24818,f16100]) ).
fof(f24818,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X1,X3)
| sum(add(X3,X0),X2,additive_identity) )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f24817]) ).
fof(f27879,plain,
( spl0_463
| ~ spl0_7
| ~ spl0_334
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f24738,f24735,f13903,f47,f27877]) ).
fof(f27877,plain,
( spl0_463
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_inverse(add(X0,add(X1,X2))),X0,X3)
| sum(add(X3,X1),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f24735,plain,
( spl0_440
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X0,X3)
| sum(add(X3,X1),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f24738,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(X0,add(X1,X2))),X0,X3)
| sum(add(X3,X1),X2,additive_identity) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_440 ),
inference(forward_demodulation,[],[f24736,f16100]) ).
fof(f24736,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X0,X3)
| sum(add(X3,X1),X2,additive_identity) )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f24735]) ).
fof(f27721,plain,
( spl0_462
| ~ spl0_226
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f19837,f13911,f5410,f27719]) ).
fof(f27719,plain,
( spl0_462
<=> ! [X0,X1] : sum(additive_inverse(add(X0,X1)),X1,additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f5410,plain,
( spl0_226
<=> ! [X0,X1] : sum(additive_inverse(X0),add(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f13911,plain,
( spl0_336
<=> ! [X0,X1] : add(add(X0,X1),additive_inverse(X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f19837,plain,
( ! [X0,X1] : sum(additive_inverse(add(X0,X1)),X1,additive_inverse(X0))
| ~ spl0_226
| ~ spl0_336 ),
inference(superposition,[],[f5411,f13912]) ).
fof(f13912,plain,
( ! [X0,X1] : add(add(X0,X1),additive_inverse(X0)) = X1
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f13911]) ).
fof(f5411,plain,
( ! [X0,X1] : sum(additive_inverse(X0),add(X0,X1),X1)
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f5410]) ).
fof(f26824,plain,
( spl0_461
| ~ spl0_226
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f19495,f13867,f5410,f26822]) ).
fof(f26822,plain,
( spl0_461
<=> ! [X0,X1] : sum(additive_inverse(add(X0,X1)),X0,additive_inverse(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f13867,plain,
( spl0_325
<=> ! [X0,X1] : add(add(X0,X1),additive_inverse(X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f19495,plain,
( ! [X0,X1] : sum(additive_inverse(add(X0,X1)),X0,additive_inverse(X1))
| ~ spl0_226
| ~ spl0_325 ),
inference(superposition,[],[f5411,f13868]) ).
fof(f13868,plain,
( ! [X0,X1] : add(add(X0,X1),additive_inverse(X1)) = X0
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f13867]) ).
fof(f25103,plain,
( spl0_460
| ~ spl0_70
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1611,f1561,f541,f25101]) ).
fof(f25101,plain,
( spl0_460
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(additive_inverse(X3),X2))
| ~ sum(X1,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f1611,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(additive_inverse(X3),X2))
| ~ sum(X1,additive_identity,X3) )
| ~ spl0_70
| ~ spl0_97 ),
inference(resolution,[],[f1562,f542]) ).
fof(f25099,plain,
( spl0_459
| ~ spl0_72
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1603,f1561,f549,f25097]) ).
fof(f25097,plain,
( spl0_459
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(additive_inverse(X4),X2))
| ~ sum(X3,X4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f1603,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(additive_inverse(X4),X2))
| ~ sum(X3,X4,X1) )
| ~ spl0_72
| ~ spl0_97 ),
inference(resolution,[],[f1562,f550]) ).
fof(f25095,plain,
( spl0_458
| ~ spl0_71
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1601,f1561,f545,f25093]) ).
fof(f25093,plain,
( spl0_458
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(X0,X3,add(X1,X2))
| ~ sum(additive_identity,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f1601,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(X0,X3,add(X1,X2))
| ~ sum(additive_identity,additive_identity,X3) )
| ~ spl0_71
| ~ spl0_97 ),
inference(resolution,[],[f1562,f546]) ).
fof(f25091,plain,
( spl0_457
| ~ spl0_71
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1577,f1557,f545,f25089]) ).
fof(f25089,plain,
( spl0_457
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(X2,X0,X3)
| ~ sum(additive_identity,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f1577,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(X2,X0,X3)
| ~ sum(additive_identity,additive_identity,X3) )
| ~ spl0_71
| ~ spl0_96 ),
inference(resolution,[],[f1558,f546]) ).
fof(f25087,plain,
( spl0_456
| ~ spl0_10
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1544,f1361,f64,f25085]) ).
fof(f25085,plain,
( spl0_456
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| multiply(X0,multiply(X1,X4)) = X3
| ~ product(X2,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f64,plain,
( spl0_10
<=> ! [X4,X0,X2,X1] :
( X2 = X4
| ~ product(X0,X1,X4)
| ~ product(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1544,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| multiply(X0,multiply(X1,X4)) = X3
| ~ product(X2,X4,X3) )
| ~ spl0_10
| ~ spl0_95 ),
inference(resolution,[],[f1362,f65]) ).
fof(f65,plain,
( ! [X2,X0,X1,X4] :
( ~ product(X0,X1,X4)
| X2 = X4
| ~ product(X0,X1,X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f25083,plain,
( spl0_455
| ~ spl0_10
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1533,f1357,f64,f25081]) ).
fof(f25081,plain,
( spl0_455
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| multiply(X2,X4) = X3
| ~ product(X0,multiply(X1,X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f1533,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| multiply(X2,X4) = X3
| ~ product(X0,multiply(X1,X4),X3) )
| ~ spl0_10
| ~ spl0_94 ),
inference(resolution,[],[f1358,f65]) ).
fof(f25079,plain,
( spl0_454
| ~ spl0_45
| ~ spl0_46
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1526,f1349,f355,f326,f25077]) ).
fof(f25077,plain,
( spl0_454
<=> ! [X2,X4,X0,X3,X1] :
( sum(X4,additive_inverse(X3),add(X1,X0))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f355,plain,
( spl0_46
<=> ! [X0] : add(X0,additive_identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1526,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X4,additive_inverse(X3),add(X1,X0))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_45
| ~ spl0_46
| ~ spl0_92 ),
inference(forward_demodulation,[],[f1500,f356]) ).
fof(f356,plain,
( ! [X0] : add(X0,additive_identity) = X0
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f1500,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(X4,additive_inverse(X3),add(add(X1,additive_identity),X0)) )
| ~ spl0_45
| ~ spl0_92 ),
inference(resolution,[],[f1350,f327]) ).
fof(f24859,plain,
( spl0_453
| ~ spl0_87
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1515,f1349,f1068,f24857]) ).
fof(f1515,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(add(X2,X3)))
| sum(add(add(X1,X2),X0),X3,additive_identity) )
| ~ spl0_87
| ~ spl0_92 ),
inference(resolution,[],[f1350,f1069]) ).
fof(f24854,plain,
( spl0_452
| ~ spl0_12
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1492,f1349,f72,f24852]) ).
fof(f72,plain,
( spl0_12
<=> ! [X3,X0,X5,X1] :
( X0 = X5
| ~ sum(X5,X1,X3)
| ~ sum(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1492,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(X3,X4,add(add(X1,X4),X0)) )
| ~ spl0_12
| ~ spl0_92 ),
inference(resolution,[],[f1350,f73]) ).
fof(f73,plain,
( ! [X3,X0,X1,X5] :
( ~ sum(X5,X1,X3)
| X0 = X5
| ~ sum(X0,X1,X3) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f24849,plain,
( spl0_451
| ~ spl0_11
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1491,f1349,f68,f24847]) ).
fof(f68,plain,
( spl0_11
<=> ! [X3,X0,X5,X1] :
( X1 = X5
| ~ sum(X0,X5,X3)
| ~ sum(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1491,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| X3 = X4
| ~ sum(X2,X3,add(add(X1,X4),X0)) )
| ~ spl0_11
| ~ spl0_92 ),
inference(resolution,[],[f1350,f69]) ).
fof(f69,plain,
( ! [X3,X0,X1,X5] :
( ~ sum(X0,X5,X3)
| X1 = X5
| ~ sum(X0,X1,X3) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f24844,plain,
( spl0_450
| ~ spl0_9
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1490,f1349,f60,f24842]) ).
fof(f60,plain,
( spl0_9
<=> ! [X4,X0,X2,X1] :
( X2 = X4
| ~ sum(X0,X1,X4)
| ~ sum(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1490,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(add(X1,X4),X0) = X3
| ~ sum(X2,X4,X3) )
| ~ spl0_9
| ~ spl0_92 ),
inference(resolution,[],[f1350,f61]) ).
fof(f61,plain,
( ! [X2,X0,X1,X4] :
( ~ sum(X0,X1,X4)
| X2 = X4
| ~ sum(X0,X1,X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f24840,plain,
( spl0_449
| ~ spl0_45
| ~ spl0_46
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1479,f1345,f355,f326,f24838]) ).
fof(f24838,plain,
( spl0_449
<=> ! [X2,X4,X0,X3,X1] :
( sum(X4,additive_inverse(X3),add(X0,X1))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f1479,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X4,additive_inverse(X3),add(X0,X1))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_45
| ~ spl0_46
| ~ spl0_91 ),
inference(forward_demodulation,[],[f1453,f356]) ).
fof(f1453,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(X4,additive_inverse(X3),add(X0,add(X1,additive_identity))) )
| ~ spl0_45
| ~ spl0_91 ),
inference(resolution,[],[f1346,f327]) ).
fof(f24836,plain,
( spl0_448
| ~ spl0_87
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1468,f1345,f1068,f24834]) ).
fof(f24834,plain,
( spl0_448
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_inverse(add(X2,X3)))
| sum(add(X0,add(X1,X2)),X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f1468,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(add(X2,X3)))
| sum(add(X0,add(X1,X2)),X3,additive_identity) )
| ~ spl0_87
| ~ spl0_91 ),
inference(resolution,[],[f1346,f1069]) ).
fof(f24832,plain,
( spl0_447
| ~ spl0_12
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1445,f1345,f72,f24830]) ).
fof(f24830,plain,
( spl0_447
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(X3,X4,add(X0,add(X1,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f1445,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(X3,X4,add(X0,add(X1,X4))) )
| ~ spl0_12
| ~ spl0_91 ),
inference(resolution,[],[f1346,f73]) ).
fof(f24828,plain,
( spl0_446
| ~ spl0_11
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1444,f1345,f68,f24826]) ).
fof(f24826,plain,
( spl0_446
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X3 = X4
| ~ sum(X2,X3,add(X0,add(X1,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f1444,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| X3 = X4
| ~ sum(X2,X3,add(X0,add(X1,X4))) )
| ~ spl0_11
| ~ spl0_91 ),
inference(resolution,[],[f1346,f69]) ).
fof(f24824,plain,
( spl0_445
| ~ spl0_9
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1443,f1345,f60,f24822]) ).
fof(f24822,plain,
( spl0_445
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X0,add(X1,X4)) = X3
| ~ sum(X2,X4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f1443,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(X0,add(X1,X4)) = X3
| ~ sum(X2,X4,X3) )
| ~ spl0_9
| ~ spl0_91 ),
inference(resolution,[],[f1346,f61]) ).
fof(f24819,plain,
( spl0_444
| ~ spl0_87
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1423,f1341,f1068,f24817]) ).
fof(f1423,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X1,X3)
| sum(add(X3,X0),X2,additive_identity) )
| ~ spl0_87
| ~ spl0_90 ),
inference(resolution,[],[f1342,f1069]) ).
fof(f24750,plain,
( spl0_443
| ~ spl0_12
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1411,f1341,f72,f24748]) ).
fof(f24748,plain,
( spl0_443
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,add(X4,X1),add(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f1411,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,add(X4,X1),add(X2,X4)) )
| ~ spl0_12
| ~ spl0_90 ),
inference(resolution,[],[f1342,f73]) ).
fof(f24746,plain,
( spl0_442
| ~ spl0_11
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1410,f1341,f68,f24744]) ).
fof(f24744,plain,
( spl0_442
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X4,X1) = X3
| ~ sum(X0,X3,add(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f1410,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(X4,X1) = X3
| ~ sum(X0,X3,add(X2,X4)) )
| ~ spl0_11
| ~ spl0_90 ),
inference(resolution,[],[f1342,f69]) ).
fof(f24742,plain,
( spl0_441
| ~ spl0_9
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1409,f1341,f60,f24740]) ).
fof(f24740,plain,
( spl0_441
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X4) = X3
| ~ sum(X0,add(X4,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f1409,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(X2,X4) = X3
| ~ sum(X0,add(X4,X1),X3) )
| ~ spl0_9
| ~ spl0_90 ),
inference(resolution,[],[f1342,f61]) ).
fof(f24737,plain,
( spl0_440
| ~ spl0_87
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1386,f1337,f1068,f24735]) ).
fof(f1386,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X0,X3)
| sum(add(X3,X1),X2,additive_identity) )
| ~ spl0_87
| ~ spl0_89 ),
inference(resolution,[],[f1338,f1069]) ).
fof(f24733,plain,
( spl0_439
| ~ spl0_12
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1374,f1337,f72,f24731]) ).
fof(f24731,plain,
( spl0_439
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,add(X1,X4),add(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f1374,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,add(X1,X4),add(X2,X4)) )
| ~ spl0_12
| ~ spl0_89 ),
inference(resolution,[],[f1338,f73]) ).
fof(f24729,plain,
( spl0_438
| ~ spl0_11
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1373,f1337,f68,f24727]) ).
fof(f24727,plain,
( spl0_438
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X1,X4) = X3
| ~ sum(X0,X3,add(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f1373,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(X1,X4) = X3
| ~ sum(X0,X3,add(X2,X4)) )
| ~ spl0_11
| ~ spl0_89 ),
inference(resolution,[],[f1338,f69]) ).
fof(f24725,plain,
( spl0_437
| ~ spl0_9
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1372,f1337,f60,f24723]) ).
fof(f24723,plain,
( spl0_437
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X4) = X3
| ~ sum(X0,add(X1,X4),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f1372,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(X2,X4) = X3
| ~ sum(X0,add(X1,X4),X3) )
| ~ spl0_9
| ~ spl0_89 ),
inference(resolution,[],[f1338,f61]) ).
fof(f24721,plain,
( spl0_436
| ~ spl0_38
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1274,f1064,f270,f24719]) ).
fof(f24719,plain,
( spl0_436
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,additive_inverse(X1)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f270,plain,
( spl0_38
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,additive_identity,X3)
| sum(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1274,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,additive_inverse(X1)),X4) )
| ~ spl0_38
| ~ spl0_86 ),
inference(resolution,[],[f1065,f271]) ).
fof(f271,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X1,additive_identity,X3)
| ~ sum(X0,X1,X2)
| sum(X0,X3,X2) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f24717,plain,
( spl0_435
| ~ spl0_39
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1273,f1064,f274,f24715]) ).
fof(f24715,plain,
( spl0_435
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(add(X2,additive_inverse(X1)),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f274,plain,
( spl0_39
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,additive_identity,X3)
| sum(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1273,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(add(X2,additive_inverse(X1)),X3,X4) )
| ~ spl0_39
| ~ spl0_86 ),
inference(resolution,[],[f1065,f275]) ).
fof(f275,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X3)
| ~ sum(X0,X1,X2)
| sum(X3,X1,X2) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f24713,plain,
( spl0_434
| ~ spl0_38
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1235,f1060,f270,f24711]) ).
fof(f24711,plain,
( spl0_434
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,X1),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f1235,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,X1),X4) )
| ~ spl0_38
| ~ spl0_85 ),
inference(resolution,[],[f1061,f271]) ).
fof(f24709,plain,
( spl0_433
| ~ spl0_183
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f19823,f13911,f3925,f24707]) ).
fof(f24707,plain,
( spl0_433
<=> ! [X0,X1] : sum(X1,additive_inverse(add(X0,X1)),additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f3925,plain,
( spl0_183
<=> ! [X0,X1] : sum(add(X0,X1),additive_inverse(X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f19823,plain,
( ! [X0,X1] : sum(X1,additive_inverse(add(X0,X1)),additive_inverse(X0))
| ~ spl0_183
| ~ spl0_336 ),
inference(superposition,[],[f3926,f13912]) ).
fof(f3926,plain,
( ! [X0,X1] : sum(add(X0,X1),additive_inverse(X0),X1)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f3925]) ).
fof(f24705,plain,
( spl0_432
| ~ spl0_39
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1234,f1060,f274,f24703]) ).
fof(f24703,plain,
( spl0_432
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X0,X3,X4)
| sum(add(X2,X1),X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f1234,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X0,X3,X4)
| sum(add(X2,X1),X3,X4) )
| ~ spl0_39
| ~ spl0_85 ),
inference(resolution,[],[f1061,f275]) ).
fof(f24701,plain,
( spl0_431
| ~ spl0_40
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1193,f1056,f278,f24699]) ).
fof(f24699,plain,
( spl0_431
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(additive_inverse(X2),X0),X2,X3)
| sum(X1,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f1193,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(additive_inverse(X2),X0),X2,X3)
| sum(X1,additive_identity,X3) )
| ~ spl0_40
| ~ spl0_84 ),
inference(resolution,[],[f1057,f279]) ).
fof(f24697,plain,
( spl0_430
| ~ spl0_37
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1192,f1056,f266,f24695]) ).
fof(f24695,plain,
( spl0_430
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(additive_inverse(X3),X0),additive_identity)
| sum(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f1192,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(additive_inverse(X3),X0),additive_identity)
| sum(X2,X1,X3) )
| ~ spl0_37
| ~ spl0_84 ),
inference(resolution,[],[f1057,f267]) ).
fof(f24693,plain,
( spl0_429
| ~ spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1142,f1052,f278,f24691]) ).
fof(f24691,plain,
( spl0_429
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(X0,additive_inverse(X2)),X2,X3)
| sum(X1,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f1142,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(X0,additive_inverse(X2)),X2,X3)
| sum(X1,additive_identity,X3) )
| ~ spl0_40
| ~ spl0_83 ),
inference(resolution,[],[f1053,f279]) ).
fof(f24689,plain,
( spl0_428
| ~ spl0_37
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1141,f1052,f266,f24687]) ).
fof(f24687,plain,
( spl0_428
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(X0,additive_inverse(X3)),additive_identity)
| sum(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f1141,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(X0,additive_inverse(X3)),additive_identity)
| sum(X2,X1,X3) )
| ~ spl0_37
| ~ spl0_83 ),
inference(resolution,[],[f1053,f267]) ).
fof(f24685,plain,
( spl0_427
| ~ spl0_40
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1115,f1048,f278,f24683]) ).
fof(f24683,plain,
( spl0_427
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(additive_inverse(X2),X1),X3)
| sum(additive_identity,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f1115,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(additive_inverse(X2),X1),X3)
| sum(additive_identity,additive_identity,X3) )
| ~ spl0_40
| ~ spl0_82 ),
inference(resolution,[],[f1049,f279]) ).
fof(f24681,plain,
( spl0_426
| ~ spl0_37
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1114,f1048,f266,f24679]) ).
fof(f24679,plain,
( spl0_426
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,additive_identity,add(additive_inverse(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f1114,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,additive_identity,add(additive_inverse(X2),X1)) )
| ~ spl0_37
| ~ spl0_82 ),
inference(resolution,[],[f1049,f267]) ).
fof(f24677,plain,
( spl0_425
| ~ spl0_40
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1083,f1044,f278,f24675]) ).
fof(f24675,plain,
( spl0_425
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X1,additive_inverse(X2)),X3)
| sum(additive_identity,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f1083,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X1,additive_inverse(X2)),X3)
| sum(additive_identity,additive_identity,X3) )
| ~ spl0_40
| ~ spl0_81 ),
inference(resolution,[],[f1045,f279]) ).
fof(f24673,plain,
( spl0_424
| ~ spl0_37
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1082,f1044,f266,f24671]) ).
fof(f24671,plain,
( spl0_424
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,additive_identity,add(X1,additive_inverse(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f1082,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,additive_identity,add(X1,additive_inverse(X2))) )
| ~ spl0_37
| ~ spl0_81 ),
inference(resolution,[],[f1045,f267]) ).
fof(f24669,plain,
( spl0_423
| ~ spl0_43
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1029,f815,f318,f24667]) ).
fof(f24667,plain,
( spl0_423
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3)
| sum(X2,add(X0,additive_inverse(X3)),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f1029,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3)
| sum(X2,add(X0,additive_inverse(X3)),additive_identity) )
| ~ spl0_43
| ~ spl0_79 ),
inference(resolution,[],[f816,f319]) ).
fof(f24665,plain,
( spl0_422
| ~ spl0_183
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f19481,f13867,f3925,f24663]) ).
fof(f24663,plain,
( spl0_422
<=> ! [X0,X1] : sum(X0,additive_inverse(add(X0,X1)),additive_inverse(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f19481,plain,
( ! [X0,X1] : sum(X0,additive_inverse(add(X0,X1)),additive_inverse(X1))
| ~ spl0_183
| ~ spl0_325 ),
inference(superposition,[],[f3926,f13868]) ).
fof(f24661,plain,
( spl0_421
| ~ spl0_44
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1028,f815,f322,f24659]) ).
fof(f24659,plain,
( spl0_421
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,additive_identity,X2)
| sum(add(X0,additive_inverse(X3)),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f1028,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,additive_identity,X2)
| sum(add(X0,additive_inverse(X3)),X3,X2) )
| ~ spl0_44
| ~ spl0_79 ),
inference(resolution,[],[f816,f323]) ).
fof(f24657,plain,
( spl0_420
| ~ spl0_43
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f988,f811,f318,f24655]) ).
fof(f24655,plain,
( spl0_420
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,add(X1,additive_inverse(X3)),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f988,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,add(X1,additive_inverse(X3)),additive_identity) )
| ~ spl0_43
| ~ spl0_78 ),
inference(resolution,[],[f812,f319]) ).
fof(f24653,plain,
( spl0_419
| ~ spl0_44
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f987,f811,f322,f24651]) ).
fof(f24651,plain,
( spl0_419
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_identity,X2)
| sum(add(X1,additive_inverse(X3)),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f987,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_identity,X2)
| sum(add(X1,additive_inverse(X3)),X3,X2) )
| ~ spl0_44
| ~ spl0_78 ),
inference(resolution,[],[f812,f323]) ).
fof(f24649,plain,
( spl0_418
| ~ spl0_45
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f920,f807,f326,f24647]) ).
fof(f24647,plain,
( spl0_418
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X1,X0),X3,X4)
| sum(X4,additive_inverse(X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f920,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X1,X0),X3,X4)
| sum(X4,additive_inverse(X3),X2) )
| ~ spl0_45
| ~ spl0_77 ),
inference(resolution,[],[f808,f327]) ).
fof(f24645,plain,
( spl0_417
| ~ spl0_45
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f882,f803,f326,f24643]) ).
fof(f24643,plain,
( spl0_417
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X0,X1),X3,X4)
| sum(X4,additive_inverse(X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f882,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X0,X1),X3,X4)
| sum(X4,additive_inverse(X3),X2) )
| ~ spl0_45
| ~ spl0_76 ),
inference(resolution,[],[f804,f327]) ).
fof(f24641,plain,
( spl0_416
| ~ spl0_47
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f770,f549,f359,f24639]) ).
fof(f24639,plain,
( spl0_416
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,X0,add(X4,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,X0,add(X4,additive_inverse(X1))) )
| ~ spl0_47
| ~ spl0_72 ),
inference(resolution,[],[f550,f360]) ).
fof(f24637,plain,
( spl0_415
| ~ spl0_48
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f735,f545,f363,f24635]) ).
fof(f24635,plain,
( spl0_415
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(add(X1,X2)),X1,X3)
| sum(X3,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f735,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(add(X1,X2)),X1,X3)
| sum(X3,X2,X0) )
| ~ spl0_48
| ~ spl0_71 ),
inference(resolution,[],[f546,f364]) ).
fof(f24633,plain,
( spl0_414
| ~ spl0_47
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f719,f545,f359,f24631]) ).
fof(f24631,plain,
( spl0_414
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(X2),X3)
| sum(X1,X0,add(X3,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f719,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(X2),X3)
| sum(X1,X0,add(X3,X2)) )
| ~ spl0_47
| ~ spl0_71 ),
inference(resolution,[],[f546,f360]) ).
fof(f24629,plain,
( spl0_413
| ~ spl0_47
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f693,f541,f359,f24627]) ).
fof(f24627,plain,
( spl0_413
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,additive_identity,add(X3,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f693,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,additive_identity,add(X3,additive_inverse(X1))) )
| ~ spl0_47
| ~ spl0_70 ),
inference(resolution,[],[f542,f360]) ).
fof(f24503,plain,
( spl0_412
| ~ spl0_303
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f18932,f13963,f13779,f24501]) ).
fof(f24501,plain,
( spl0_412
<=> ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f13779,plain,
( spl0_303
<=> ! [X0,X1] : add(add(X0,additive_inverse(X1)),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f13963,plain,
( spl0_349
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,additive_identity,add(add(X1,additive_inverse(X2)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f18932,plain,
( ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(X1,X0,X1) )
| ~ spl0_303
| ~ spl0_349 ),
inference(superposition,[],[f13964,f13780]) ).
fof(f13780,plain,
( ! [X0,X1] : add(add(X0,additive_inverse(X1)),X1) = X0
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f13779]) ).
fof(f13964,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,additive_identity,add(add(X1,additive_inverse(X2)),X0))
| ~ sum(X0,X1,X2) )
| ~ spl0_349 ),
inference(avatar_component_clause,[],[f13963]) ).
fof(f23659,plain,
( spl0_411
| ~ spl0_7
| ~ spl0_334
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f19578,f19575,f13903,f47,f23657]) ).
fof(f23657,plain,
( spl0_411
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X1,add(additive_inverse(X2),X0))),X1,X2)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f19575,plain,
( spl0_395
<=> ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(X1,additive_inverse(X2)),X0)),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f19578,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X1,add(additive_inverse(X2),X0))),X1,X2)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_395 ),
inference(forward_demodulation,[],[f19576,f16100]) ).
fof(f19576,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(X1,additive_inverse(X2)),X0)),X1,X2) )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f19575]) ).
fof(f19945,plain,
( spl0_410
| ~ spl0_6
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1686,f1664,f43,f19943]) ).
fof(f19943,plain,
( spl0_410
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X1,X3),multiply(X0,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f1686,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X1,X3),multiply(X0,X3))) )
| ~ spl0_6
| ~ spl0_109 ),
inference(resolution,[],[f1665,f44]) ).
fof(f19941,plain,
( spl0_409
| ~ spl0_6
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1683,f1660,f43,f19939]) ).
fof(f19939,plain,
( spl0_409
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X0,X3),multiply(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f1683,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X0,X3),multiply(X1,X3))) )
| ~ spl0_6
| ~ spl0_108 ),
inference(resolution,[],[f1661,f44]) ).
fof(f19937,plain,
( spl0_408
| ~ spl0_6
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1676,f1656,f43,f19935]) ).
fof(f1676,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3)) )
| ~ spl0_6
| ~ spl0_107 ),
inference(resolution,[],[f1657,f44]) ).
fof(f19933,plain,
( spl0_407
| ~ spl0_6
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1673,f1652,f43,f19931]) ).
fof(f19931,plain,
( spl0_407
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X1),multiply(X3,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f1673,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X1),multiply(X3,X0))) )
| ~ spl0_6
| ~ spl0_106 ),
inference(resolution,[],[f1653,f44]) ).
fof(f19929,plain,
( spl0_406
| ~ spl0_6
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1670,f1648,f43,f19927]) ).
fof(f19927,plain,
( spl0_406
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X0),multiply(X3,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f1670,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X0),multiply(X3,X1))) )
| ~ spl0_6
| ~ spl0_105 ),
inference(resolution,[],[f1649,f44]) ).
fof(f19925,plain,
( spl0_405
| ~ spl0_6
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1667,f1644,f43,f19923]) ).
fof(f1667,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2)) )
| ~ spl0_6
| ~ spl0_104 ),
inference(resolution,[],[f1645,f44]) ).
fof(f19921,plain,
( spl0_404
| ~ spl0_50
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1532,f1357,f371,f19919]) ).
fof(f19919,plain,
( spl0_404
<=> ! [X4,X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(X3,X4,multiply(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f1532,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(X3,X4,multiply(X2,X4)) )
| ~ spl0_50
| ~ spl0_94 ),
inference(resolution,[],[f1358,f372]) ).
fof(f19917,plain,
( spl0_403
| ~ spl0_38
| ~ spl0_46
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1528,f1349,f355,f270,f19915]) ).
fof(f19915,plain,
( spl0_403
<=> ! [X2,X4,X0,X3,X1] :
( sum(X3,add(X1,X0),X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1528,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X3,add(X1,X0),X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) )
| ~ spl0_38
| ~ spl0_46
| ~ spl0_92 ),
inference(forward_demodulation,[],[f1502,f356]) ).
fof(f1502,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(add(X1,additive_identity),X0),X4) )
| ~ spl0_38
| ~ spl0_92 ),
inference(resolution,[],[f1350,f271]) ).
fof(f19913,plain,
( spl0_402
| ~ spl0_39
| ~ spl0_46
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1527,f1349,f355,f274,f19911]) ).
fof(f19911,plain,
( spl0_402
<=> ! [X2,X4,X0,X3,X1] :
( sum(add(X1,X0),X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1527,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(add(X1,X0),X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_39
| ~ spl0_46
| ~ spl0_92 ),
inference(forward_demodulation,[],[f1501,f356]) ).
fof(f1501,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(add(X1,additive_identity),X0),X3,X4) )
| ~ spl0_39
| ~ spl0_92 ),
inference(resolution,[],[f1350,f275]) ).
fof(f19727,plain,
( spl0_401
| ~ spl0_38
| ~ spl0_46
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1481,f1345,f355,f270,f19725]) ).
fof(f19725,plain,
( spl0_401
<=> ! [X2,X4,X0,X3,X1] :
( sum(X3,add(X0,X1),X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1481,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X3,add(X0,X1),X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) )
| ~ spl0_38
| ~ spl0_46
| ~ spl0_91 ),
inference(forward_demodulation,[],[f1455,f356]) ).
fof(f1455,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(X0,add(X1,additive_identity)),X4) )
| ~ spl0_38
| ~ spl0_91 ),
inference(resolution,[],[f1346,f271]) ).
fof(f19723,plain,
( spl0_400
| ~ spl0_39
| ~ spl0_46
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1480,f1345,f355,f274,f19721]) ).
fof(f19721,plain,
( spl0_400
<=> ! [X2,X4,X0,X3,X1] :
( sum(add(X0,X1),X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1480,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(add(X0,X1),X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_39
| ~ spl0_46
| ~ spl0_91 ),
inference(forward_demodulation,[],[f1454,f356]) ).
fof(f1454,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(X0,add(X1,additive_identity)),X3,X4) )
| ~ spl0_39
| ~ spl0_91 ),
inference(resolution,[],[f1346,f275]) ).
fof(f19719,plain,
( spl0_399
| ~ spl0_48
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1401,f1341,f363,f19717]) ).
fof(f19717,plain,
( spl0_399
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X4,X1,add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f1401,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X4,X1,add(X2,X3)) )
| ~ spl0_48
| ~ spl0_90 ),
inference(resolution,[],[f1342,f364]) ).
fof(f19715,plain,
( spl0_398
| ~ spl0_48
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1364,f1337,f363,f19713]) ).
fof(f19713,plain,
( spl0_398
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,X4,add(X2,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f1364,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,X4,add(X2,X4)) )
| ~ spl0_48
| ~ spl0_89 ),
inference(resolution,[],[f1338,f364]) ).
fof(f19588,plain,
( spl0_397
| ~ spl0_7
| ~ spl0_142
| ~ spl0_208
| ~ spl0_334
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f19584,f19580,f13903,f5338,f2654,f47,f19586]) ).
fof(f2654,plain,
( spl0_142
<=> ! [X0,X1] : sum(add(additive_inverse(X0),X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f5338,plain,
( spl0_208
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(X0) = add(X1,additive_inverse(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f19580,plain,
( spl0_396
<=> ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(additive_inverse(X1),X2),X0)),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f19584,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X1,additive_inverse(add(X2,X0))),X2,X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_7
| ~ spl0_142
| ~ spl0_208
| ~ spl0_334
| ~ spl0_396 ),
inference(forward_demodulation,[],[f19583,f7011]) ).
fof(f7011,plain,
( ! [X0,X1] : add(X0,additive_inverse(X1)) = additive_inverse(add(additive_inverse(X0),X1))
| ~ spl0_142
| ~ spl0_208 ),
inference(resolution,[],[f5339,f2655]) ).
fof(f2655,plain,
( ! [X0,X1] : sum(add(additive_inverse(X0),X1),X0,X1)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f5339,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(X0) = add(X1,additive_inverse(X2)) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f5338]) ).
fof(f19583,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(additive_inverse(X1),add(X2,X0))),X2,X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_7
| ~ spl0_334
| ~ spl0_396 ),
inference(forward_demodulation,[],[f19581,f16100]) ).
fof(f19581,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(additive_inverse(X1),X2),X0)),X2,X1) )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f19580]) ).
fof(f19582,plain,
( spl0_396
| ~ spl0_82
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1315,f1068,f1048,f19580]) ).
fof(f1315,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(additive_inverse(X1),X2),X0)),X2,X1) )
| ~ spl0_82
| ~ spl0_87 ),
inference(resolution,[],[f1069,f1049]) ).
fof(f19577,plain,
( spl0_395
| ~ spl0_81
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1314,f1068,f1044,f19575]) ).
fof(f1314,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(X1,additive_inverse(X2)),X0)),X1,X2) )
| ~ spl0_81
| ~ spl0_87 ),
inference(resolution,[],[f1069,f1045]) ).
fof(f19573,plain,
( spl0_394
| ~ spl0_12
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1283,f1064,f72,f19571]) ).
fof(f19571,plain,
( spl0_394
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,additive_identity,add(X2,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f1283,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,additive_identity,add(X2,additive_inverse(X1))) )
| ~ spl0_12
| ~ spl0_86 ),
inference(resolution,[],[f1065,f73]) ).
fof(f19569,plain,
( spl0_393
| ~ spl0_11
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1282,f1064,f68,f19567]) ).
fof(f19567,plain,
( spl0_393
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(X0,X3,add(X2,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f1282,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(X0,X3,add(X2,additive_inverse(X1))) )
| ~ spl0_11
| ~ spl0_86 ),
inference(resolution,[],[f1065,f69]) ).
fof(f19389,plain,
( spl0_392
| ~ spl0_9
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1281,f1064,f60,f19387]) ).
fof(f19387,plain,
( spl0_392
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,additive_inverse(X1)) = X3
| ~ sum(X0,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f1281,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,additive_inverse(X1)) = X3
| ~ sum(X0,additive_identity,X3) )
| ~ spl0_9
| ~ spl0_86 ),
inference(resolution,[],[f1065,f61]) ).
fof(f19385,plain,
( spl0_391
| ~ spl0_12
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1245,f1060,f72,f19383]) ).
fof(f19383,plain,
( spl0_391
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| X0 = X3
| ~ sum(X3,additive_identity,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f1245,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| X0 = X3
| ~ sum(X3,additive_identity,add(X2,X1)) )
| ~ spl0_12
| ~ spl0_85 ),
inference(resolution,[],[f1061,f73]) ).
fof(f19381,plain,
( spl0_390
| ~ spl0_11
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1244,f1060,f68,f19379]) ).
fof(f19379,plain,
( spl0_390
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| additive_identity = X3
| ~ sum(X0,X3,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f1244,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| additive_identity = X3
| ~ sum(X0,X3,add(X2,X1)) )
| ~ spl0_11
| ~ spl0_85 ),
inference(resolution,[],[f1061,f69]) ).
fof(f19377,plain,
( spl0_389
| ~ spl0_9
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1243,f1060,f60,f19375]) ).
fof(f19375,plain,
( spl0_389
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X2,X1) = X3
| ~ sum(X0,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f1243,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X2,X1) = X3
| ~ sum(X0,additive_identity,X3) )
| ~ spl0_9
| ~ spl0_85 ),
inference(resolution,[],[f1061,f61]) ).
fof(f19373,plain,
( spl0_388
| ~ spl0_43
| ~ spl0_53
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1231,f1056,f396,f318,f19371]) ).
fof(f19371,plain,
( spl0_388
<=> ! [X0,X3,X2,X1] :
( ~ sum(X2,add(X3,X0),X3)
| ~ sum(X0,additive_identity,X1)
| sum(X2,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f1231,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X2,add(X3,X0),X3)
| ~ sum(X0,additive_identity,X1)
| sum(X2,X1,additive_identity) )
| ~ spl0_43
| ~ spl0_53
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1214,f397]) ).
fof(f1214,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(additive_inverse(additive_inverse(X3)),X0),X3)
| sum(X2,X1,additive_identity) )
| ~ spl0_43
| ~ spl0_84 ),
inference(resolution,[],[f1057,f319]) ).
fof(f19369,plain,
( spl0_387
| ~ spl0_44
| ~ spl0_53
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1230,f1056,f396,f322,f19367]) ).
fof(f19367,plain,
( spl0_387
<=> ! [X0,X3,X2,X1] :
( ~ sum(add(X2,X0),additive_identity,X3)
| ~ sum(X0,additive_identity,X1)
| sum(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f1230,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(add(X2,X0),additive_identity,X3)
| ~ sum(X0,additive_identity,X1)
| sum(X1,X2,X3) )
| ~ spl0_44
| ~ spl0_53
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1213,f397]) ).
fof(f1213,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(additive_inverse(additive_inverse(X2)),X0),additive_identity,X3)
| sum(X1,X2,X3) )
| ~ spl0_44
| ~ spl0_84 ),
inference(resolution,[],[f1057,f323]) ).
fof(f19365,plain,
( spl0_386
| ~ spl0_12
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1188,f1056,f72,f19363]) ).
fof(f19363,plain,
( spl0_386
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| add(additive_inverse(X3),X0) = X2
| ~ sum(X2,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f1188,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(additive_inverse(X3),X0) = X2
| ~ sum(X2,X3,X1) )
| ~ spl0_12
| ~ spl0_84 ),
inference(resolution,[],[f1057,f73]) ).
fof(f19361,plain,
( spl0_385
| ~ spl0_11
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1187,f1056,f68,f19359]) ).
fof(f19359,plain,
( spl0_385
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| X2 = X3
| ~ sum(add(additive_inverse(X3),X0),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f1187,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X2 = X3
| ~ sum(add(additive_inverse(X3),X0),X2,X1) )
| ~ spl0_11
| ~ spl0_84 ),
inference(resolution,[],[f1057,f69]) ).
fof(f19357,plain,
( spl0_384
| ~ spl0_9
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1186,f1056,f60,f19355]) ).
fof(f19355,plain,
( spl0_384
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| X1 = X2
| ~ sum(add(additive_inverse(X3),X0),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f1186,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X1 = X2
| ~ sum(add(additive_inverse(X3),X0),X3,X2) )
| ~ spl0_9
| ~ spl0_84 ),
inference(resolution,[],[f1057,f61]) ).
fof(f19353,plain,
( spl0_383
| ~ spl0_43
| ~ spl0_53
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1180,f1052,f396,f318,f19351]) ).
fof(f19351,plain,
( spl0_383
<=> ! [X0,X3,X2,X1] :
( ~ sum(X2,add(X0,X3),X3)
| ~ sum(X0,additive_identity,X1)
| sum(X2,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f1180,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X2,add(X0,X3),X3)
| ~ sum(X0,additive_identity,X1)
| sum(X2,X1,additive_identity) )
| ~ spl0_43
| ~ spl0_53
| ~ spl0_83 ),
inference(forward_demodulation,[],[f1163,f397]) ).
fof(f1163,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(X0,additive_inverse(additive_inverse(X3))),X3)
| sum(X2,X1,additive_identity) )
| ~ spl0_43
| ~ spl0_83 ),
inference(resolution,[],[f1053,f319]) ).
fof(f19161,plain,
( spl0_382
| ~ spl0_44
| ~ spl0_53
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1179,f1052,f396,f322,f19159]) ).
fof(f19159,plain,
( spl0_382
<=> ! [X0,X3,X2,X1] :
( ~ sum(add(X0,X2),additive_identity,X3)
| ~ sum(X0,additive_identity,X1)
| sum(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f1179,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(add(X0,X2),additive_identity,X3)
| ~ sum(X0,additive_identity,X1)
| sum(X1,X2,X3) )
| ~ spl0_44
| ~ spl0_53
| ~ spl0_83 ),
inference(forward_demodulation,[],[f1162,f397]) ).
fof(f1162,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(X0,additive_inverse(additive_inverse(X2))),additive_identity,X3)
| sum(X1,X2,X3) )
| ~ spl0_44
| ~ spl0_83 ),
inference(resolution,[],[f1053,f323]) ).
fof(f19157,plain,
( spl0_381
| ~ spl0_12
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1137,f1052,f72,f19155]) ).
fof(f19155,plain,
( spl0_381
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X0,additive_inverse(X3)) = X2
| ~ sum(X2,X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f1137,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X0,additive_inverse(X3)) = X2
| ~ sum(X2,X3,X1) )
| ~ spl0_12
| ~ spl0_83 ),
inference(resolution,[],[f1053,f73]) ).
fof(f19153,plain,
( spl0_380
| ~ spl0_11
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1136,f1052,f68,f19151]) ).
fof(f19151,plain,
( spl0_380
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| X2 = X3
| ~ sum(add(X0,additive_inverse(X3)),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f1136,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X2 = X3
| ~ sum(add(X0,additive_inverse(X3)),X2,X1) )
| ~ spl0_11
| ~ spl0_83 ),
inference(resolution,[],[f1053,f69]) ).
fof(f19149,plain,
( spl0_379
| ~ spl0_9
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1135,f1052,f60,f19147]) ).
fof(f19147,plain,
( spl0_379
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| X1 = X2
| ~ sum(add(X0,additive_inverse(X3)),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f1135,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X1 = X2
| ~ sum(add(X0,additive_inverse(X3)),X3,X2) )
| ~ spl0_9
| ~ spl0_83 ),
inference(resolution,[],[f1053,f61]) ).
fof(f19145,plain,
( spl0_378
| ~ spl0_12
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1110,f1048,f72,f19143]) ).
fof(f19143,plain,
( spl0_378
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,add(additive_inverse(X2),X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f1110,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,add(additive_inverse(X2),X1),additive_identity) )
| ~ spl0_12
| ~ spl0_82 ),
inference(resolution,[],[f1049,f73]) ).
fof(f19141,plain,
( spl0_377
| ~ spl0_11
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1109,f1048,f68,f19139]) ).
fof(f19139,plain,
( spl0_377
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(additive_inverse(X2),X1) = X3
| ~ sum(X0,X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f1109,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(additive_inverse(X2),X1) = X3
| ~ sum(X0,X3,additive_identity) )
| ~ spl0_11
| ~ spl0_82 ),
inference(resolution,[],[f1049,f69]) ).
fof(f19137,plain,
( spl0_376
| ~ spl0_9
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1108,f1048,f60,f19135]) ).
fof(f19135,plain,
( spl0_376
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(X0,add(additive_inverse(X2),X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f1108,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(X0,add(additive_inverse(X2),X1),X3) )
| ~ spl0_9
| ~ spl0_82 ),
inference(resolution,[],[f1049,f61]) ).
fof(f19133,plain,
( spl0_375
| ~ spl0_12
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1078,f1044,f72,f19131]) ).
fof(f19131,plain,
( spl0_375
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,add(X1,additive_inverse(X2)),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f1078,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X3,add(X1,additive_inverse(X2)),additive_identity) )
| ~ spl0_12
| ~ spl0_81 ),
inference(resolution,[],[f1045,f73]) ).
fof(f19129,plain,
( spl0_374
| ~ spl0_11
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1077,f1044,f68,f19127]) ).
fof(f19127,plain,
( spl0_374
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X1,additive_inverse(X2)) = X3
| ~ sum(X0,X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f1077,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X1,additive_inverse(X2)) = X3
| ~ sum(X0,X3,additive_identity) )
| ~ spl0_11
| ~ spl0_81 ),
inference(resolution,[],[f1045,f69]) ).
fof(f19125,plain,
( spl0_373
| ~ spl0_9
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1076,f1044,f60,f19123]) ).
fof(f19123,plain,
( spl0_373
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(X0,add(X1,additive_inverse(X2)),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f1076,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(X0,add(X1,additive_inverse(X2)),X3) )
| ~ spl0_9
| ~ spl0_81 ),
inference(resolution,[],[f1045,f61]) ).
fof(f18920,plain,
( spl0_372
| ~ spl0_40
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1016,f815,f278,f18918]) ).
fof(f18918,plain,
( spl0_372
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(add(X0,X2),additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f1016,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(add(X0,X2),additive_identity,X3) )
| ~ spl0_40
| ~ spl0_79 ),
inference(resolution,[],[f816,f279]) ).
fof(f18916,plain,
( spl0_371
| ~ spl0_37
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1015,f815,f266,f18914]) ).
fof(f18914,plain,
( spl0_371
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,additive_identity)
| sum(X2,add(X0,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f1015,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,additive_identity)
| sum(X2,add(X0,X3),X3) )
| ~ spl0_37
| ~ spl0_79 ),
inference(resolution,[],[f816,f267]) ).
fof(f18912,plain,
( spl0_370
| ~ spl0_40
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f975,f811,f278,f18910]) ).
fof(f18910,plain,
( spl0_370
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(add(X1,X2),additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f975,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(add(X1,X2),additive_identity,X3) )
| ~ spl0_40
| ~ spl0_78 ),
inference(resolution,[],[f812,f279]) ).
fof(f18908,plain,
( spl0_369
| ~ spl0_37
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f974,f811,f266,f18906]) ).
fof(f18906,plain,
( spl0_369
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,add(X1,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f974,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,add(X1,X3),X3) )
| ~ spl0_37
| ~ spl0_78 ),
inference(resolution,[],[f812,f267]) ).
fof(f18904,plain,
( spl0_368
| ~ spl0_38
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f922,f807,f270,f18902]) ).
fof(f18902,plain,
( spl0_368
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X1,X0),X4)
| sum(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f922,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X1,X0),X4)
| sum(X3,X2,X4) )
| ~ spl0_38
| ~ spl0_77 ),
inference(resolution,[],[f808,f271]) ).
fof(f18900,plain,
( spl0_367
| ~ spl0_39
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f921,f807,f274,f18898]) ).
fof(f18898,plain,
( spl0_367
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X1,X0),X3,X4)
| sum(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f921,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X1,X0),X3,X4)
| sum(X2,X3,X4) )
| ~ spl0_39
| ~ spl0_77 ),
inference(resolution,[],[f808,f275]) ).
fof(f18896,plain,
( spl0_366
| ~ spl0_38
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f884,f803,f270,f18894]) ).
fof(f18894,plain,
( spl0_366
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X0,X1),X4)
| sum(X3,X2,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f884,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X0,X1),X4)
| sum(X3,X2,X4) )
| ~ spl0_38
| ~ spl0_76 ),
inference(resolution,[],[f804,f271]) ).
fof(f18892,plain,
( spl0_365
| ~ spl0_39
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f883,f803,f274,f18890]) ).
fof(f18890,plain,
( spl0_365
<=> ! [X4,X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X0,X1),X3,X4)
| sum(X2,X3,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f883,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X0,X1),X3,X4)
| sum(X2,X3,X4) )
| ~ spl0_39
| ~ spl0_76 ),
inference(resolution,[],[f804,f275]) ).
fof(f18888,plain,
( spl0_364
| ~ spl0_40
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f860,f799,f278,f18886]) ).
fof(f18886,plain,
( spl0_364
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,add(X2,X1),X3)
| sum(X2,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f860,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,add(X2,X1),X3)
| sum(X2,additive_identity,X3) )
| ~ spl0_40
| ~ spl0_75 ),
inference(resolution,[],[f800,f279]) ).
fof(f18884,plain,
( spl0_363
| ~ spl0_37
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f859,f799,f266,f18882]) ).
fof(f18882,plain,
( spl0_363
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,additive_identity)
| sum(X2,X3,add(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f859,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,additive_identity)
| sum(X2,X3,add(X3,X1)) )
| ~ spl0_37
| ~ spl0_75 ),
inference(resolution,[],[f800,f267]) ).
fof(f18880,plain,
( spl0_362
| ~ spl0_53
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f11354,f9648,f396,f18878]) ).
fof(f18878,plain,
( spl0_362
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = additive_inverse(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f9648,plain,
( spl0_259
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X1,X1)
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f11354,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = additive_inverse(X0) )
| ~ spl0_53
| ~ spl0_259 ),
inference(superposition,[],[f9649,f397]) ).
fof(f9649,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X1,X1)
| additive_identity = X0 )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f9648]) ).
fof(f18876,plain,
( spl0_361
| ~ spl0_40
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f828,f795,f278,f18874]) ).
fof(f18874,plain,
( spl0_361
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,add(X1,X2),X3)
| sum(X2,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f828,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,add(X1,X2),X3)
| sum(X2,additive_identity,X3) )
| ~ spl0_40
| ~ spl0_74 ),
inference(resolution,[],[f796,f279]) ).
fof(f18872,plain,
( spl0_360
| ~ spl0_37
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f827,f795,f266,f18870]) ).
fof(f18870,plain,
( spl0_360
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,additive_identity)
| sum(X2,X3,add(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f827,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,additive_identity)
| sum(X2,X3,add(X1,X3)) )
| ~ spl0_37
| ~ spl0_74 ),
inference(resolution,[],[f796,f267]) ).
fof(f18868,plain,
( spl0_359
| ~ spl0_42
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f778,f549,f314,f18866]) ).
fof(f18866,plain,
( spl0_359
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ sum(additive_inverse(X1),X0,X3)
| sum(X2,X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f778,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ sum(additive_inverse(X1),X0,X3)
| sum(X2,X3,additive_identity) )
| ~ spl0_42
| ~ spl0_72 ),
inference(resolution,[],[f550,f315]) ).
fof(f18864,plain,
( spl0_358
| ~ spl0_42
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f727,f545,f314,f18862]) ).
fof(f18862,plain,
( spl0_358
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| ~ sum(X1,X0,X2)
| sum(additive_inverse(X1),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f727,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| ~ sum(X1,X0,X2)
| sum(additive_inverse(X1),X2,additive_identity) )
| ~ spl0_42
| ~ spl0_71 ),
inference(resolution,[],[f546,f315]) ).
fof(f18860,plain,
( spl0_357
| ~ spl0_45
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f581,f521,f326,f18858]) ).
fof(f18858,plain,
( spl0_357
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f581,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),additive_inverse(X1)) )
| ~ spl0_45
| ~ spl0_65 ),
inference(resolution,[],[f522,f327]) ).
fof(f16434,plain,
( spl0_356
| ~ spl0_5
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f15878,f13883,f39,f16432]) ).
fof(f16432,plain,
( spl0_356
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f13883,plain,
( spl0_329
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,additive_inverse(X2),X3)
| sum(X3,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f15878,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_5
| ~ spl0_329 ),
inference(resolution,[],[f13884,f40]) ).
fof(f13884,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X2),X3)
| ~ sum(X0,X1,X2)
| sum(X3,X1,additive_identity) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f13883]) ).
fof(f15651,plain,
( spl0_355
| ~ spl0_61
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2830,f2654,f505,f15649]) ).
fof(f15649,plain,
( spl0_355
<=> ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f505,plain,
( spl0_61
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ sum(X0,X2,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2830,plain,
( ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1
| ~ spl0_61
| ~ spl0_142 ),
inference(resolution,[],[f2655,f506]) ).
fof(f506,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X2,add(X2,X1))
| X0 = X1 )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f14945,plain,
( spl0_354
| ~ spl0_36
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2829,f2654,f243,f14943]) ).
fof(f14943,plain,
( spl0_354
<=> ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f243,plain,
( spl0_36
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ sum(X0,X2,add(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f2829,plain,
( ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1
| ~ spl0_36
| ~ spl0_142 ),
inference(resolution,[],[f2655,f244]) ).
fof(f244,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X2,add(X1,X2))
| X0 = X1 )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f14290,plain,
( spl0_353
| ~ spl0_63
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2825,f2654,f513,f14288]) ).
fof(f14288,plain,
( spl0_353
<=> ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f513,plain,
( spl0_63
<=> ! [X2,X0,X1] :
( add(X1,X2) = X0
| ~ sum(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2825,plain,
( ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1
| ~ spl0_63
| ~ spl0_142 ),
inference(resolution,[],[f2655,f514]) ).
fof(f514,plain,
( ! [X2,X0,X1] :
( ~ sum(X2,X1,X0)
| add(X1,X2) = X0 )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f13977,plain,
( spl0_352
| ~ spl0_34
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1540,f1357,f235,f13975]) ).
fof(f13975,plain,
( spl0_352
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| multiply(X2,X3) = multiply(X0,multiply(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f235,plain,
( spl0_34
<=> ! [X2,X0,X1] :
( multiply(X1,X2) = X0
| ~ product(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1540,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X2,X3) = multiply(X0,multiply(X1,X3)) )
| ~ spl0_34
| ~ spl0_94 ),
inference(resolution,[],[f1358,f236]) ).
fof(f236,plain,
( ! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| multiply(X1,X2) = X0 )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f13973,plain,
( spl0_351
| ~ spl0_66
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1513,f1349,f525,f13971]) ).
fof(f13971,plain,
( spl0_351
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,additive_identity,add(add(X1,X2),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f525,plain,
( spl0_66
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f1513,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,additive_identity,add(add(X1,X2),X0)) )
| ~ spl0_66
| ~ spl0_92 ),
inference(resolution,[],[f1350,f526]) ).
fof(f526,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f13969,plain,
( spl0_350
| ~ spl0_68
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1512,f1349,f533,f13967]) ).
fof(f13967,plain,
( spl0_350
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,add(add(X1,X2),X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f533,plain,
( spl0_68
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1512,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,add(add(X1,X2),X0),additive_identity) )
| ~ spl0_68
| ~ spl0_92 ),
inference(resolution,[],[f1350,f534]) ).
fof(f534,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f13965,plain,
( spl0_349
| ~ spl0_67
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1507,f1349,f529,f13963]) ).
fof(f529,plain,
( spl0_67
<=> ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1507,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,additive_identity,add(add(X1,additive_inverse(X2)),X0)) )
| ~ spl0_67
| ~ spl0_92 ),
inference(resolution,[],[f1350,f530]) ).
fof(f530,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f13961,plain,
( spl0_348
| ~ spl0_63
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1499,f1349,f513,f13959]) ).
fof(f13959,plain,
( spl0_348
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(add(X1,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f1499,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(add(X1,X3),X0) )
| ~ spl0_63
| ~ spl0_92 ),
inference(resolution,[],[f1350,f514]) ).
fof(f13957,plain,
( spl0_347
| ~ spl0_33
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2821,f2654,f231,f13955]) ).
fof(f13955,plain,
( spl0_347
<=> ! [X0,X1] : add(add(additive_inverse(X0),X1),X0) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f231,plain,
( spl0_33
<=> ! [X2,X0,X1] :
( add(X1,X2) = X0
| ~ sum(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f2821,plain,
( ! [X0,X1] : add(add(additive_inverse(X0),X1),X0) = X1
| ~ spl0_33
| ~ spl0_142 ),
inference(resolution,[],[f2655,f232]) ).
fof(f232,plain,
( ! [X2,X0,X1] :
( ~ sum(X1,X2,X0)
| add(X1,X2) = X0 )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f13953,plain,
( spl0_346
| ~ spl0_66
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1466,f1345,f525,f13951]) ).
fof(f13951,plain,
( spl0_346
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,additive_identity,add(X0,add(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f1466,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,additive_identity,add(X0,add(X1,X2))) )
| ~ spl0_66
| ~ spl0_91 ),
inference(resolution,[],[f1346,f526]) ).
fof(f13949,plain,
( spl0_345
| ~ spl0_68
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1465,f1345,f533,f13947]) ).
fof(f13947,plain,
( spl0_345
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,add(X0,add(X1,X2)),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f1465,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,add(X0,add(X1,X2)),additive_identity) )
| ~ spl0_68
| ~ spl0_91 ),
inference(resolution,[],[f1346,f534]) ).
fof(f13945,plain,
( spl0_344
| ~ spl0_67
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1460,f1345,f529,f13943]) ).
fof(f13943,plain,
( spl0_344
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,additive_identity,add(X0,add(X1,additive_inverse(X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f1460,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,additive_identity,add(X0,add(X1,additive_inverse(X2)))) )
| ~ spl0_67
| ~ spl0_91 ),
inference(resolution,[],[f1346,f530]) ).
fof(f13941,plain,
( spl0_343
| ~ spl0_63
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1452,f1345,f513,f13939]) ).
fof(f13939,plain,
( spl0_343
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(X0,add(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f1452,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(X0,add(X1,X3)) )
| ~ spl0_63
| ~ spl0_91 ),
inference(resolution,[],[f1346,f514]) ).
fof(f13937,plain,
( spl0_342
| ~ spl0_66
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1421,f1341,f525,f13935]) ).
fof(f13935,plain,
( spl0_342
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(additive_identity,additive_identity,add(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f1421,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(additive_identity,additive_identity,add(X2,X0)) )
| ~ spl0_66
| ~ spl0_90 ),
inference(resolution,[],[f1342,f526]) ).
fof(f13933,plain,
( spl0_341
| ~ spl0_68
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1420,f1341,f533,f13931]) ).
fof(f13931,plain,
( spl0_341
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(additive_identity,add(X2,X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f1420,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(additive_identity,add(X2,X0),additive_identity) )
| ~ spl0_68
| ~ spl0_90 ),
inference(resolution,[],[f1342,f534]) ).
fof(f13929,plain,
( spl0_340
| ~ spl0_63
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1418,f1341,f513,f13927]) ).
fof(f1418,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X3,X1),X0) )
| ~ spl0_63
| ~ spl0_90 ),
inference(resolution,[],[f1342,f514]) ).
fof(f13925,plain,
( spl0_339
| ~ spl0_33
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1414,f1341,f231,f13923]) ).
fof(f1414,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X3,X1)) )
| ~ spl0_33
| ~ spl0_90 ),
inference(resolution,[],[f1342,f232]) ).
fof(f13921,plain,
( spl0_338
| ~ spl0_66
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1384,f1337,f525,f13919]) ).
fof(f13919,plain,
( spl0_338
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(additive_identity,additive_identity,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f1384,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(additive_identity,additive_identity,add(X2,X1)) )
| ~ spl0_66
| ~ spl0_89 ),
inference(resolution,[],[f1338,f526]) ).
fof(f13917,plain,
( spl0_337
| ~ spl0_68
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1383,f1337,f533,f13915]) ).
fof(f13915,plain,
( spl0_337
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(additive_identity,add(X2,X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f1383,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(additive_identity,add(X2,X1),additive_identity) )
| ~ spl0_68
| ~ spl0_89 ),
inference(resolution,[],[f1338,f534]) ).
fof(f13913,plain,
( spl0_336
| ~ spl0_61
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2717,f2446,f505,f13911]) ).
fof(f2446,plain,
( spl0_136
<=> ! [X0,X1] : sum(add(X0,additive_inverse(X1)),X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f2717,plain,
( ! [X0,X1] : add(add(X0,X1),additive_inverse(X0)) = X1
| ~ spl0_61
| ~ spl0_136 ),
inference(resolution,[],[f2447,f506]) ).
fof(f2447,plain,
( ! [X0,X1] : sum(add(X0,additive_inverse(X1)),X1,X0)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f2446]) ).
fof(f13909,plain,
( spl0_335
| ~ spl0_63
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1381,f1337,f513,f13907]) ).
fof(f13907,plain,
( spl0_335
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X1,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f1381,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X1,X3),X0) )
| ~ spl0_63
| ~ spl0_89 ),
inference(resolution,[],[f1338,f514]) ).
fof(f13905,plain,
( spl0_334
| ~ spl0_33
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1377,f1337,f231,f13903]) ).
fof(f1377,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X1,X3)) )
| ~ spl0_33
| ~ spl0_89 ),
inference(resolution,[],[f1338,f232]) ).
fof(f13901,plain,
( spl0_333
| ~ spl0_78
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1319,f1068,f811,f13899]) ).
fof(f13899,plain,
( spl0_333
<=> ! [X2,X0,X1] :
( sum(add(X0,X1),X2,additive_identity)
| ~ sum(additive_inverse(add(X1,X2)),additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f1319,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),X2,additive_identity)
| ~ sum(additive_inverse(add(X1,X2)),additive_identity,X0) )
| ~ spl0_78
| ~ spl0_87 ),
inference(resolution,[],[f1069,f812]) ).
fof(f13897,plain,
( spl0_332
| ~ spl0_79
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1318,f1068,f815,f13895]) ).
fof(f13895,plain,
( spl0_332
<=> ! [X2,X0,X1] :
( sum(add(X0,X1),X2,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(add(X1,X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f1318,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),X2,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(add(X1,X2))) )
| ~ spl0_79
| ~ spl0_87 ),
inference(resolution,[],[f1069,f816]) ).
fof(f13893,plain,
( spl0_331
| ~ spl0_74
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1312,f1068,f795,f13891]) ).
fof(f13891,plain,
( spl0_331
<=> ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_inverse(add(add(X2,X0),X1)),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f1312,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_inverse(add(add(X2,X0),X1)),X2,additive_identity) )
| ~ spl0_74
| ~ spl0_87 ),
inference(resolution,[],[f1069,f796]) ).
fof(f13889,plain,
( spl0_330
| ~ spl0_75
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1310,f1068,f799,f13887]) ).
fof(f13887,plain,
( spl0_330
<=> ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_inverse(add(add(X0,X2),X1)),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f1310,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_inverse(add(add(X0,X2),X1)),X2,additive_identity) )
| ~ spl0_75
| ~ spl0_87 ),
inference(resolution,[],[f1069,f800]) ).
fof(f13885,plain,
( spl0_329
| ~ spl0_48
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1103,f1048,f363,f13883]) ).
fof(f1103,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,additive_inverse(X2),X3)
| sum(X3,X1,additive_identity) )
| ~ spl0_48
| ~ spl0_82 ),
inference(resolution,[],[f1049,f364]) ).
fof(f13881,plain,
( spl0_328
| ~ spl0_48
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1071,f1044,f363,f13879]) ).
fof(f1071,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,additive_inverse(X2),additive_identity) )
| ~ spl0_48
| ~ spl0_81 ),
inference(resolution,[],[f1045,f364]) ).
fof(f13877,plain,
( spl0_327
| ~ spl0_45
| ~ spl0_46
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1040,f815,f355,f326,f13875]) ).
fof(f13875,plain,
( spl0_327
<=> ! [X0,X3,X2,X1] :
( sum(X3,additive_inverse(X2),X0)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f1040,plain,
( ! [X2,X3,X0,X1] :
( sum(X3,additive_inverse(X2),X0)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3) )
| ~ spl0_45
| ~ spl0_46
| ~ spl0_79 ),
inference(forward_demodulation,[],[f1019,f356]) ).
fof(f1019,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(X3,additive_inverse(X2),add(X0,additive_identity)) )
| ~ spl0_45
| ~ spl0_79 ),
inference(resolution,[],[f816,f327]) ).
fof(f13873,plain,
( spl0_326
| ~ spl0_12
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1011,f815,f72,f13871]) ).
fof(f13871,plain,
( spl0_326
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| X1 = X2
| ~ sum(X2,X3,add(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f1011,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X1 = X2
| ~ sum(X2,X3,add(X0,X3)) )
| ~ spl0_12
| ~ spl0_79 ),
inference(resolution,[],[f816,f73]) ).
fof(f13869,plain,
( spl0_325
| ~ spl0_36
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2716,f2446,f243,f13867]) ).
fof(f2716,plain,
( ! [X0,X1] : add(add(X0,X1),additive_inverse(X1)) = X0
| ~ spl0_36
| ~ spl0_136 ),
inference(resolution,[],[f2447,f244]) ).
fof(f13865,plain,
( spl0_324
| ~ spl0_11
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1010,f815,f68,f13863]) ).
fof(f13863,plain,
( spl0_324
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| X2 = X3
| ~ sum(X1,X2,add(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f1010,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X2 = X3
| ~ sum(X1,X2,add(X0,X3)) )
| ~ spl0_11
| ~ spl0_79 ),
inference(resolution,[],[f816,f69]) ).
fof(f13861,plain,
( spl0_323
| ~ spl0_9
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1009,f815,f60,f13859]) ).
fof(f13859,plain,
( spl0_323
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X0,X3) = X2
| ~ sum(X1,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f1009,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X0,X3) = X2
| ~ sum(X1,X3,X2) )
| ~ spl0_9
| ~ spl0_79 ),
inference(resolution,[],[f816,f61]) ).
fof(f13857,plain,
( spl0_322
| ~ spl0_12
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f970,f811,f72,f13855]) ).
fof(f13855,plain,
( spl0_322
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X2
| ~ sum(X2,X3,add(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f970,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X2
| ~ sum(X2,X3,add(X1,X3)) )
| ~ spl0_12
| ~ spl0_78 ),
inference(resolution,[],[f812,f73]) ).
fof(f13853,plain,
( spl0_321
| ~ spl0_11
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f969,f811,f68,f13851]) ).
fof(f13851,plain,
( spl0_321
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| X2 = X3
| ~ sum(X0,X2,add(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f969,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X2 = X3
| ~ sum(X0,X2,add(X1,X3)) )
| ~ spl0_11
| ~ spl0_78 ),
inference(resolution,[],[f812,f69]) ).
fof(f13849,plain,
( spl0_320
| ~ spl0_9
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f968,f811,f60,f13847]) ).
fof(f13847,plain,
( spl0_320
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X3) = X2
| ~ sum(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f968,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X3) = X2
| ~ sum(X0,X3,X2) )
| ~ spl0_9
| ~ spl0_78 ),
inference(resolution,[],[f812,f61]) ).
fof(f13845,plain,
( spl0_319
| ~ spl0_12
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f931,f807,f72,f13843]) ).
fof(f13843,plain,
( spl0_319
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X3
| ~ sum(X3,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f931,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X3
| ~ sum(X3,additive_identity,X2) )
| ~ spl0_12
| ~ spl0_77 ),
inference(resolution,[],[f808,f73]) ).
fof(f13841,plain,
( spl0_318
| ~ spl0_11
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f930,f807,f68,f13839]) ).
fof(f13839,plain,
( spl0_318
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(add(X1,X0),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f930,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(add(X1,X0),X3,X2) )
| ~ spl0_11
| ~ spl0_77 ),
inference(resolution,[],[f808,f69]) ).
fof(f13837,plain,
( spl0_317
| ~ spl0_9
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f929,f807,f60,f13835]) ).
fof(f13835,plain,
( spl0_317
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(add(X1,X0),additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f929,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(add(X1,X0),additive_identity,X3) )
| ~ spl0_9
| ~ spl0_77 ),
inference(resolution,[],[f808,f61]) ).
fof(f13833,plain,
( spl0_316
| ~ spl0_12
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f893,f803,f72,f13831]) ).
fof(f13831,plain,
( spl0_316
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X3
| ~ sum(X3,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f893,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X0,X1) = X3
| ~ sum(X3,additive_identity,X2) )
| ~ spl0_12
| ~ spl0_76 ),
inference(resolution,[],[f804,f73]) ).
fof(f13829,plain,
( spl0_315
| ~ spl0_11
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f892,f803,f68,f13827]) ).
fof(f13827,plain,
( spl0_315
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(add(X0,X1),X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f892,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(add(X0,X1),X3,X2) )
| ~ spl0_11
| ~ spl0_76 ),
inference(resolution,[],[f804,f69]) ).
fof(f13825,plain,
( spl0_314
| ~ spl0_63
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2712,f2446,f513,f13823]) ).
fof(f13823,plain,
( spl0_314
<=> ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f2712,plain,
( ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1
| ~ spl0_63
| ~ spl0_136 ),
inference(resolution,[],[f2447,f514]) ).
fof(f13821,plain,
( spl0_313
| ~ spl0_9
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f891,f803,f60,f13819]) ).
fof(f13819,plain,
( spl0_313
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(add(X0,X1),additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f891,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(add(X0,X1),additive_identity,X3) )
| ~ spl0_9
| ~ spl0_76 ),
inference(resolution,[],[f804,f61]) ).
fof(f13817,plain,
( spl0_312
| ~ spl0_12
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f855,f799,f72,f13815]) ).
fof(f13815,plain,
( spl0_312
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| X0 = X2
| ~ sum(X2,add(X3,X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f855,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| X0 = X2
| ~ sum(X2,add(X3,X1),X3) )
| ~ spl0_12
| ~ spl0_75 ),
inference(resolution,[],[f800,f73]) ).
fof(f13813,plain,
( spl0_311
| ~ spl0_11
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f854,f799,f68,f13811]) ).
fof(f13811,plain,
( spl0_311
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X3,X1) = X2
| ~ sum(X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f854,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X3,X1) = X2
| ~ sum(X0,X2,X3) )
| ~ spl0_11
| ~ spl0_75 ),
inference(resolution,[],[f800,f69]) ).
fof(f13809,plain,
( spl0_310
| ~ spl0_9
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f853,f799,f60,f13807]) ).
fof(f13807,plain,
( spl0_310
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| X2 = X3
| ~ sum(X0,add(X3,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f853,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| X2 = X3
| ~ sum(X0,add(X3,X1),X2) )
| ~ spl0_9
| ~ spl0_75 ),
inference(resolution,[],[f800,f61]) ).
fof(f13805,plain,
( spl0_309
| ~ spl0_12
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f823,f795,f72,f13803]) ).
fof(f13803,plain,
( spl0_309
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| X0 = X2
| ~ sum(X2,add(X1,X3),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f823,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| X0 = X2
| ~ sum(X2,add(X1,X3),X3) )
| ~ spl0_12
| ~ spl0_74 ),
inference(resolution,[],[f796,f73]) ).
fof(f13801,plain,
( spl0_308
| ~ spl0_11
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f822,f795,f68,f13799]) ).
fof(f13799,plain,
( spl0_308
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X1,X3) = X2
| ~ sum(X0,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f822,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X1,X3) = X2
| ~ sum(X0,X2,X3) )
| ~ spl0_11
| ~ spl0_74 ),
inference(resolution,[],[f796,f69]) ).
fof(f13797,plain,
( spl0_307
| ~ spl0_9
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f821,f795,f60,f13795]) ).
fof(f13795,plain,
( spl0_307
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| X2 = X3
| ~ sum(X0,add(X1,X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f821,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| X2 = X3
| ~ sum(X0,add(X1,X3),X2) )
| ~ spl0_9
| ~ spl0_74 ),
inference(resolution,[],[f796,f61]) ).
fof(f13793,plain,
( spl0_306
| ~ spl0_40
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f769,f549,f278,f13791]) ).
fof(f13791,plain,
( spl0_306
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_inverse(X1),X3)
| sum(X0,additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_inverse(X1),X3)
| sum(X0,additive_identity,X3) )
| ~ spl0_40
| ~ spl0_72 ),
inference(resolution,[],[f550,f279]) ).
fof(f13789,plain,
( spl0_305
| ~ spl0_37
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f768,f549,f266,f13787]) ).
fof(f13787,plain,
( spl0_305
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f768,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,X0,additive_inverse(X1)) )
| ~ spl0_37
| ~ spl0_72 ),
inference(resolution,[],[f550,f267]) ).
fof(f13785,plain,
( spl0_304
| ~ spl0_40
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f718,f545,f278,f13783]) ).
fof(f13783,plain,
( spl0_304
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(X1),X1,X2)
| sum(X0,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f718,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(X1),X1,X2)
| sum(X0,additive_identity,X2) )
| ~ spl0_40
| ~ spl0_71 ),
inference(resolution,[],[f546,f279]) ).
fof(f13781,plain,
( spl0_303
| ~ spl0_33
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2708,f2446,f231,f13779]) ).
fof(f2708,plain,
( ! [X0,X1] : add(add(X0,additive_inverse(X1)),X1) = X0
| ~ spl0_33
| ~ spl0_136 ),
inference(resolution,[],[f2447,f232]) ).
fof(f13777,plain,
( spl0_302
| ~ spl0_37
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f717,f545,f266,f13775]) ).
fof(f13775,plain,
( spl0_302
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(X2),additive_identity)
| sum(X1,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f717,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(X2),additive_identity)
| sum(X1,X0,X2) )
| ~ spl0_37
| ~ spl0_71 ),
inference(resolution,[],[f546,f267]) ).
fof(f13773,plain,
( spl0_301
| ~ spl0_40
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f692,f541,f278,f13771]) ).
fof(f13771,plain,
( spl0_301
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_inverse(X1),X2)
| sum(additive_identity,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f692,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_inverse(X1),X2)
| sum(additive_identity,additive_identity,X2) )
| ~ spl0_40
| ~ spl0_70 ),
inference(resolution,[],[f542,f279]) ).
fof(f13769,plain,
( spl0_300
| ~ spl0_37
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f691,f541,f266,f13767]) ).
fof(f13767,plain,
( spl0_300
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,additive_identity,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f691,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,additive_identity,additive_inverse(X1)) )
| ~ spl0_37
| ~ spl0_70 ),
inference(resolution,[],[f542,f267]) ).
fof(f13765,plain,
( spl0_299
| ~ spl0_38
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f583,f521,f270,f13763]) ).
fof(f13763,plain,
( spl0_299
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,additive_inverse(X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f583,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,additive_inverse(X1),X3) )
| ~ spl0_38
| ~ spl0_65 ),
inference(resolution,[],[f522,f271]) ).
fof(f13761,plain,
( spl0_298
| ~ spl0_39
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f582,f521,f274,f13759]) ).
fof(f13759,plain,
( spl0_298
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(additive_inverse(X1),X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f582,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(additive_inverse(X1),X2,X3) )
| ~ spl0_39
| ~ spl0_65 ),
inference(resolution,[],[f522,f275]) ).
fof(f12194,plain,
( spl0_297
| ~ spl0_2
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f11008,f9668,f27,f12192]) ).
fof(f12192,plain,
( spl0_297
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f11008,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(X1,X0,X1) )
| ~ spl0_2
| ~ spl0_264 ),
inference(resolution,[],[f9669,f28]) ).
fof(f9917,plain,
( spl0_296
| ~ spl0_58
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1519,f1349,f464,f9915]) ).
fof(f9915,plain,
( spl0_296
<=> ! [X0,X3,X2,X1] :
( sum(X2,X1,add(add(X1,X0),X3))
| ~ sum(X3,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f1519,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X1,add(add(X1,X0),X3))
| ~ sum(X3,X0,X2) )
| ~ spl0_58
| ~ spl0_92 ),
inference(superposition,[],[f1350,f465]) ).
fof(f9913,plain,
( spl0_295
| ~ spl0_26
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1514,f1349,f182,f9911]) ).
fof(f9911,plain,
( spl0_295
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| additive_identity = add(add(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f1514,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| additive_identity = add(add(X1,X2),X0) )
| ~ spl0_26
| ~ spl0_92 ),
inference(resolution,[],[f1350,f183]) ).
fof(f9909,plain,
( spl0_294
| ~ spl0_8
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1489,f1349,f51,f9907]) ).
fof(f9907,plain,
( spl0_294
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X3,X2,add(add(X1,X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f1489,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X3,X2,add(add(X1,X3),X0)) )
| ~ spl0_8
| ~ spl0_92 ),
inference(resolution,[],[f1350,f52]) ).
fof(f9905,plain,
( spl0_293
| ~ spl0_58
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1472,f1345,f464,f9903]) ).
fof(f9903,plain,
( spl0_293
<=> ! [X0,X3,X2,X1] :
( sum(X2,X1,add(X3,add(X1,X0)))
| ~ sum(X3,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f1472,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X1,add(X3,add(X1,X0)))
| ~ sum(X3,X0,X2) )
| ~ spl0_58
| ~ spl0_91 ),
inference(superposition,[],[f1346,f465]) ).
fof(f9901,plain,
( spl0_292
| ~ spl0_26
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1467,f1345,f182,f9899]) ).
fof(f9899,plain,
( spl0_292
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| additive_identity = add(X0,add(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f1467,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| additive_identity = add(X0,add(X1,X2)) )
| ~ spl0_26
| ~ spl0_91 ),
inference(resolution,[],[f1346,f183]) ).
fof(f9897,plain,
( spl0_291
| ~ spl0_8
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1442,f1345,f51,f9895]) ).
fof(f9895,plain,
( spl0_291
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X3,X2,add(X0,add(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f1442,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X3,X2,add(X0,add(X1,X3))) )
| ~ spl0_8
| ~ spl0_91 ),
inference(resolution,[],[f1346,f52]) ).
fof(f9893,plain,
( spl0_290
| ~ spl0_58
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1433,f1341,f464,f9891]) ).
fof(f9891,plain,
( spl0_290
<=> ! [X0,X3,X2,X1] :
( sum(X2,add(X1,X3),add(X1,X0))
| ~ sum(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f1433,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,add(X1,X3),add(X1,X0))
| ~ sum(X2,X3,X0) )
| ~ spl0_58
| ~ spl0_90 ),
inference(superposition,[],[f1342,f465]) ).
fof(f9866,plain,
( spl0_289
| ~ spl0_26
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1422,f1341,f182,f9864]) ).
fof(f9864,plain,
( spl0_289
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| additive_identity = add(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f1422,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| additive_identity = add(X2,X0) )
| ~ spl0_26
| ~ spl0_90 ),
inference(resolution,[],[f1342,f183]) ).
fof(f9862,plain,
( spl0_288
| ~ spl0_8
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1408,f1341,f51,f9860]) ).
fof(f9860,plain,
( spl0_288
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X3,X1),X0,add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f1408,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X3,X1),X0,add(X2,X3)) )
| ~ spl0_8
| ~ spl0_90 ),
inference(resolution,[],[f1342,f52]) ).
fof(f9858,plain,
( spl0_287
| ~ spl0_58
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1396,f1337,f464,f9856]) ).
fof(f9856,plain,
( spl0_287
<=> ! [X0,X3,X2,X1] :
( sum(X2,add(X3,X1),add(X1,X0))
| ~ sum(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f1396,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,add(X3,X1),add(X1,X0))
| ~ sum(X2,X3,X0) )
| ~ spl0_58
| ~ spl0_89 ),
inference(superposition,[],[f1338,f465]) ).
fof(f9854,plain,
( spl0_286
| ~ spl0_26
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1385,f1337,f182,f9852]) ).
fof(f9852,plain,
( spl0_286
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| additive_identity = add(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f1385,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| additive_identity = add(X2,X1) )
| ~ spl0_26
| ~ spl0_89 ),
inference(resolution,[],[f1338,f183]) ).
fof(f9850,plain,
( spl0_285
| ~ spl0_8
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1371,f1337,f51,f9848]) ).
fof(f1371,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,X3),X0,add(X2,X3)) )
| ~ spl0_8
| ~ spl0_89 ),
inference(resolution,[],[f1338,f52]) ).
fof(f9846,plain,
( spl0_284
| ~ spl0_41
| ~ spl0_86
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1332,f1068,f1064,f296,f9844]) ).
fof(f1332,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(X2),X1,X0)
| sum(add(X0,additive_inverse(X1)),X2,additive_identity) )
| ~ spl0_41
| ~ spl0_86
| ~ spl0_87 ),
inference(forward_demodulation,[],[f1321,f297]) ).
fof(f1321,plain,
( ! [X2,X0,X1] :
( sum(add(X0,additive_inverse(X1)),X2,additive_identity)
| ~ sum(additive_inverse(add(additive_identity,X2)),X1,X0) )
| ~ spl0_86
| ~ spl0_87 ),
inference(resolution,[],[f1069,f1065]) ).
fof(f9842,plain,
( spl0_283
| ~ spl0_41
| ~ spl0_85
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1331,f1068,f1060,f296,f9840]) ).
fof(f9840,plain,
( spl0_283
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(X2),additive_inverse(X1),X0)
| sum(add(X0,X1),X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1331,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(X2),additive_inverse(X1),X0)
| sum(add(X0,X1),X2,additive_identity) )
| ~ spl0_41
| ~ spl0_85
| ~ spl0_87 ),
inference(forward_demodulation,[],[f1320,f297]) ).
fof(f1320,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),X2,additive_identity)
| ~ sum(additive_inverse(add(additive_identity,X2)),additive_inverse(X1),X0) )
| ~ spl0_85
| ~ spl0_87 ),
inference(resolution,[],[f1069,f1061]) ).
fof(f9837,plain,
( spl0_282
| ~ spl0_70
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1313,f1068,f541,f9835]) ).
fof(f9835,plain,
( spl0_282
<=> ! [X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(additive_inverse(X1),X0)),additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f1313,plain,
( ! [X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(additive_inverse(X1),X0)),additive_identity,X1) )
| ~ spl0_70
| ~ spl0_87 ),
inference(resolution,[],[f1069,f542]) ).
fof(f9832,plain,
( spl0_281
| ~ spl0_72
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1311,f1068,f549,f9830]) ).
fof(f9830,plain,
( spl0_281
<=> ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(X0,X2,additive_inverse(add(additive_inverse(X2),X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1311,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(X0,X2,additive_inverse(add(additive_inverse(X2),X1))) )
| ~ spl0_72
| ~ spl0_87 ),
inference(resolution,[],[f1069,f550]) ).
fof(f9827,plain,
( spl0_280
| ~ spl0_33
| ~ spl0_58
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1222,f1056,f464,f231,f9825]) ).
fof(f9825,plain,
( spl0_280
<=> ! [X2,X0,X1] :
( add(X2,add(additive_inverse(X2),X0)) = X1
| ~ sum(X0,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1222,plain,
( ! [X2,X0,X1] :
( add(X2,add(additive_inverse(X2),X0)) = X1
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_33
| ~ spl0_58
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1191,f465]) ).
fof(f1191,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(add(additive_inverse(X2),X0),X2) = X1 )
| ~ spl0_33
| ~ spl0_84 ),
inference(resolution,[],[f1057,f232]) ).
fof(f9793,plain,
( spl0_279
| ~ spl0_61
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1201,f1056,f505,f9791]) ).
fof(f9791,plain,
( spl0_279
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X2))
| add(additive_inverse(X1),X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1201,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X2))
| add(additive_inverse(X1),X0) = X2 )
| ~ spl0_61
| ~ spl0_84 ),
inference(resolution,[],[f1057,f506]) ).
fof(f9789,plain,
( spl0_278
| ~ spl0_62
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1200,f1056,f509,f9787]) ).
fof(f9787,plain,
( spl0_278
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,add(additive_inverse(X2),X0)))
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f509,plain,
( spl0_62
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ sum(X2,X0,add(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f1200,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,add(additive_inverse(X2),X0)))
| X1 = X2 )
| ~ spl0_62
| ~ spl0_84 ),
inference(resolution,[],[f1057,f510]) ).
fof(f510,plain,
( ! [X2,X0,X1] :
( ~ sum(X2,X0,add(X1,X2))
| X0 = X1 )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f9785,plain,
( spl0_277
| ~ spl0_36
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1199,f1056,f243,f9783]) ).
fof(f9783,plain,
( spl0_277
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X2))
| add(additive_inverse(X2),X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f1199,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X2))
| add(additive_inverse(X2),X0) = X1 )
| ~ spl0_36
| ~ spl0_84 ),
inference(resolution,[],[f1057,f244]) ).
fof(f9781,plain,
( spl0_276
| ~ spl0_35
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1198,f1056,f239,f9779]) ).
fof(f9779,plain,
( spl0_276
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(add(additive_inverse(X1),X0),X2))
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f239,plain,
( spl0_35
<=> ! [X2,X0,X1] :
( X0 = X1
| ~ sum(X2,X0,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1198,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(add(additive_inverse(X1),X0),X2))
| X1 = X2 )
| ~ spl0_35
| ~ spl0_84 ),
inference(resolution,[],[f1057,f240]) ).
fof(f240,plain,
( ! [X2,X0,X1] :
( ~ sum(X2,X0,add(X2,X1))
| X0 = X1 )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f9776,plain,
( spl0_275
| ~ spl0_33
| ~ spl0_58
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1171,f1052,f464,f231,f9774]) ).
fof(f9774,plain,
( spl0_275
<=> ! [X2,X0,X1] :
( add(X2,add(X0,additive_inverse(X2))) = X1
| ~ sum(X0,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f1171,plain,
( ! [X2,X0,X1] :
( add(X2,add(X0,additive_inverse(X2))) = X1
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_33
| ~ spl0_58
| ~ spl0_83 ),
inference(forward_demodulation,[],[f1140,f465]) ).
fof(f1140,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(add(X0,additive_inverse(X2)),X2) = X1 )
| ~ spl0_33
| ~ spl0_83 ),
inference(resolution,[],[f1053,f232]) ).
fof(f9772,plain,
( spl0_274
| ~ spl0_61
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1150,f1052,f505,f9770]) ).
fof(f9770,plain,
( spl0_274
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X2))
| add(X0,additive_inverse(X1)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f1150,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X2))
| add(X0,additive_inverse(X1)) = X2 )
| ~ spl0_61
| ~ spl0_83 ),
inference(resolution,[],[f1053,f506]) ).
fof(f9768,plain,
( spl0_273
| ~ spl0_62
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1149,f1052,f509,f9766]) ).
fof(f9766,plain,
( spl0_273
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,add(X0,additive_inverse(X2))))
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f1149,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,add(X0,additive_inverse(X2))))
| X1 = X2 )
| ~ spl0_62
| ~ spl0_83 ),
inference(resolution,[],[f1053,f510]) ).
fof(f9764,plain,
( spl0_272
| ~ spl0_36
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1148,f1052,f243,f9762]) ).
fof(f9762,plain,
( spl0_272
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X2))
| add(X0,additive_inverse(X2)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f1148,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X2))
| add(X0,additive_inverse(X2)) = X1 )
| ~ spl0_36
| ~ spl0_83 ),
inference(resolution,[],[f1053,f244]) ).
fof(f9760,plain,
( spl0_271
| ~ spl0_35
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1147,f1052,f239,f9758]) ).
fof(f9758,plain,
( spl0_271
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(add(X0,additive_inverse(X1)),X2))
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f1147,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,add(add(X0,additive_inverse(X1)),X2))
| X1 = X2 )
| ~ spl0_35
| ~ spl0_83 ),
inference(resolution,[],[f1053,f240]) ).
fof(f9756,plain,
( spl0_270
| ~ spl0_63
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1117,f1048,f513,f9754]) ).
fof(f9754,plain,
( spl0_270
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(additive_inverse(X2),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f1117,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(additive_inverse(X2),X1),X0) )
| ~ spl0_63
| ~ spl0_82 ),
inference(resolution,[],[f1049,f514]) ).
fof(f9690,plain,
( spl0_269
| ~ spl0_33
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1113,f1048,f231,f9688]) ).
fof(f9688,plain,
( spl0_269
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(additive_inverse(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f1113,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(additive_inverse(X2),X1)) )
| ~ spl0_33
| ~ spl0_82 ),
inference(resolution,[],[f1049,f232]) ).
fof(f9686,plain,
( spl0_268
| ~ spl0_63
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1085,f1044,f513,f9684]) ).
fof(f9684,plain,
( spl0_268
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(X1,additive_inverse(X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f1085,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(X1,additive_inverse(X2)),X0) )
| ~ spl0_63
| ~ spl0_81 ),
inference(resolution,[],[f1045,f514]) ).
fof(f9682,plain,
( spl0_267
| ~ spl0_33
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1081,f1044,f231,f9680]) ).
fof(f9680,plain,
( spl0_267
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(X1,additive_inverse(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f1081,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(X1,additive_inverse(X2))) )
| ~ spl0_33
| ~ spl0_81 ),
inference(resolution,[],[f1045,f232]) ).
fof(f9678,plain,
( spl0_266
| ~ spl0_38
| ~ spl0_46
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1042,f815,f355,f270,f9676]) ).
fof(f9676,plain,
( spl0_266
<=> ! [X0,X3,X2,X1] :
( sum(X2,X0,X3)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f1042,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X0,X3)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3) )
| ~ spl0_38
| ~ spl0_46
| ~ spl0_79 ),
inference(forward_demodulation,[],[f1021,f356]) ).
fof(f1021,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3)
| sum(X2,add(X0,additive_identity),X3) )
| ~ spl0_38
| ~ spl0_79 ),
inference(resolution,[],[f816,f271]) ).
fof(f9674,plain,
( spl0_265
| ~ spl0_39
| ~ spl0_46
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1041,f815,f355,f274,f9672]) ).
fof(f9672,plain,
( spl0_265
<=> ! [X0,X3,X2,X1] :
( sum(X0,X2,X3)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f1041,plain,
( ! [X2,X3,X0,X1] :
( sum(X0,X2,X3)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3) )
| ~ spl0_39
| ~ spl0_46
| ~ spl0_79 ),
inference(forward_demodulation,[],[f1020,f356]) ).
fof(f1020,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(add(X0,additive_identity),X2,X3) )
| ~ spl0_39
| ~ spl0_79 ),
inference(resolution,[],[f816,f275]) ).
fof(f9670,plain,
( spl0_264
| ~ spl0_48
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f850,f799,f363,f9668]) ).
fof(f850,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(X3,X1,X2) )
| ~ spl0_48
| ~ spl0_75 ),
inference(resolution,[],[f800,f364]) ).
fof(f9666,plain,
( spl0_263
| ~ spl0_48
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f818,f795,f363,f9664]) ).
fof(f9664,plain,
( spl0_263
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f818,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X3) )
| ~ spl0_48
| ~ spl0_74 ),
inference(resolution,[],[f796,f364]) ).
fof(f9662,plain,
( spl0_262
| ~ spl0_12
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f764,f549,f72,f9660]) ).
fof(f9660,plain,
( spl0_262
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(X3,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f764,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(X3,additive_inverse(X1),X0) )
| ~ spl0_12
| ~ spl0_72 ),
inference(resolution,[],[f550,f73]) ).
fof(f9658,plain,
( spl0_261
| ~ spl0_11
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f763,f549,f68,f9656]) ).
fof(f9656,plain,
( spl0_261
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(X1) = X3
| ~ sum(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f763,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(X1) = X3
| ~ sum(X2,X3,X0) )
| ~ spl0_11
| ~ spl0_72 ),
inference(resolution,[],[f550,f69]) ).
fof(f9654,plain,
( spl0_260
| ~ spl0_9
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f762,f549,f60,f9652]) ).
fof(f9652,plain,
( spl0_260
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X2,additive_inverse(X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f762,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X2,additive_inverse(X1),X3) )
| ~ spl0_9
| ~ spl0_72 ),
inference(resolution,[],[f550,f61]) ).
fof(f9650,plain,
( spl0_259
| ~ spl0_46
| ~ spl0_92
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f4438,f2918,f1349,f355,f9648]) ).
fof(f4438,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X1,X1)
| additive_identity = X0 )
| ~ spl0_46
| ~ spl0_92
| ~ spl0_170 ),
inference(forward_demodulation,[],[f4423,f356]) ).
fof(f4423,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_inverse(X0),X1,add(X1,additive_identity)) )
| ~ spl0_92
| ~ spl0_170 ),
inference(resolution,[],[f2919,f1350]) ).
fof(f9646,plain,
( spl0_258
| ~ spl0_43
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f757,f549,f318,f9644]) ).
fof(f9644,plain,
( spl0_258
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X1)
| sum(X3,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f757,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X1)
| sum(X3,X0,additive_identity) )
| ~ spl0_43
| ~ spl0_72 ),
inference(resolution,[],[f550,f319]) ).
fof(f9642,plain,
( spl0_257
| ~ spl0_44
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f756,f549,f322,f9640]) ).
fof(f9640,plain,
( spl0_257
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f756,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(X0,X1,X3) )
| ~ spl0_44
| ~ spl0_72 ),
inference(resolution,[],[f550,f323]) ).
fof(f9638,plain,
( spl0_256
| ~ spl0_43
| ~ spl0_53
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f751,f545,f396,f318,f9636]) ).
fof(f9636,plain,
( spl0_256
<=> ! [X2,X0,X1] :
( ~ sum(X1,X2,X2)
| ~ sum(additive_identity,additive_identity,X0)
| sum(X1,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f751,plain,
( ! [X2,X0,X1] :
( ~ sum(X1,X2,X2)
| ~ sum(additive_identity,additive_identity,X0)
| sum(X1,X0,additive_identity) )
| ~ spl0_43
| ~ spl0_53
| ~ spl0_71 ),
inference(forward_demodulation,[],[f739,f397]) ).
fof(f739,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(additive_inverse(X2)),X2)
| sum(X1,X0,additive_identity) )
| ~ spl0_43
| ~ spl0_71 ),
inference(resolution,[],[f546,f319]) ).
fof(f9634,plain,
( spl0_255
| ~ spl0_12
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f713,f545,f72,f9632]) ).
fof(f9632,plain,
( spl0_255
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| additive_inverse(X2) = X1
| ~ sum(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f713,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| additive_inverse(X2) = X1
| ~ sum(X1,X2,X0) )
| ~ spl0_12
| ~ spl0_71 ),
inference(resolution,[],[f546,f73]) ).
fof(f9630,plain,
( spl0_254
| ~ spl0_11
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f712,f545,f68,f9628]) ).
fof(f9628,plain,
( spl0_254
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| X1 = X2
| ~ sum(additive_inverse(X2),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f712,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| X1 = X2
| ~ sum(additive_inverse(X2),X1,X0) )
| ~ spl0_11
| ~ spl0_71 ),
inference(resolution,[],[f546,f69]) ).
fof(f9626,plain,
( spl0_253
| ~ spl0_9
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f711,f545,f60,f9624]) ).
fof(f9624,plain,
( spl0_253
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| X0 = X1
| ~ sum(additive_inverse(X2),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f711,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| X0 = X1
| ~ sum(additive_inverse(X2),X2,X1) )
| ~ spl0_9
| ~ spl0_71 ),
inference(resolution,[],[f546,f61]) ).
fof(f9622,plain,
( spl0_252
| ~ spl0_12
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f687,f541,f72,f9620]) ).
fof(f9620,plain,
( spl0_252
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X2
| ~ sum(X2,additive_inverse(X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f687,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X2
| ~ sum(X2,additive_inverse(X1),additive_identity) )
| ~ spl0_12
| ~ spl0_70 ),
inference(resolution,[],[f542,f73]) ).
fof(f9618,plain,
( spl0_251
| ~ spl0_11
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f686,f541,f68,f9616]) ).
fof(f9616,plain,
( spl0_251
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_inverse(X1) = X2
| ~ sum(X0,X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f686,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_inverse(X1) = X2
| ~ sum(X0,X2,additive_identity) )
| ~ spl0_11
| ~ spl0_70 ),
inference(resolution,[],[f542,f69]) ).
fof(f9614,plain,
( spl0_250
| ~ spl0_9
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f685,f541,f60,f9612]) ).
fof(f9612,plain,
( spl0_250
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = X2
| ~ sum(X0,additive_inverse(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f685,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = X2
| ~ sum(X0,additive_inverse(X1),X2) )
| ~ spl0_9
| ~ spl0_70 ),
inference(resolution,[],[f542,f61]) ).
fof(f9610,plain,
( spl0_249
| ~ spl0_43
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f680,f541,f318,f9608]) ).
fof(f9608,plain,
( spl0_249
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X1)
| sum(X2,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f680,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X1)
| sum(X2,additive_identity,additive_identity) )
| ~ spl0_43
| ~ spl0_70 ),
inference(resolution,[],[f542,f319]) ).
fof(f9606,plain,
( spl0_248
| ~ spl0_46
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f4222,f2898,f355,f9604]) ).
fof(f9604,plain,
( spl0_248
<=> ! [X0,X1] :
( sum(additive_identity,X1,X0)
| ~ sum(additive_identity,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f4222,plain,
( ! [X0,X1] :
( sum(additive_identity,X1,X0)
| ~ sum(additive_identity,X0,X1) )
| ~ spl0_46
| ~ spl0_165 ),
inference(superposition,[],[f2899,f356]) ).
fof(f9602,plain,
( spl0_247
| ~ spl0_44
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f679,f541,f322,f9600]) ).
fof(f9600,plain,
( spl0_247
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_identity,X2)
| sum(additive_identity,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f679,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_identity,X2)
| sum(additive_identity,X1,X2) )
| ~ spl0_44
| ~ spl0_70 ),
inference(resolution,[],[f542,f323]) ).
fof(f9598,plain,
( spl0_246
| ~ spl0_12
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f590,f521,f72,f9596]) ).
fof(f9596,plain,
( spl0_246
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| X0 = X2
| ~ sum(X2,additive_identity,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f590,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| X0 = X2
| ~ sum(X2,additive_identity,additive_inverse(X1)) )
| ~ spl0_12
| ~ spl0_65 ),
inference(resolution,[],[f522,f73]) ).
fof(f9594,plain,
( spl0_245
| ~ spl0_11
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f589,f521,f68,f9592]) ).
fof(f9592,plain,
( spl0_245
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_identity = X2
| ~ sum(X0,X2,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f589,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_identity = X2
| ~ sum(X0,X2,additive_inverse(X1)) )
| ~ spl0_11
| ~ spl0_65 ),
inference(resolution,[],[f522,f69]) ).
fof(f9590,plain,
( spl0_244
| ~ spl0_9
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f588,f521,f60,f9588]) ).
fof(f9588,plain,
( spl0_244
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X2
| ~ sum(X0,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f588,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X2
| ~ sum(X0,additive_identity,X2) )
| ~ spl0_9
| ~ spl0_65 ),
inference(resolution,[],[f522,f61]) ).
fof(f9586,plain,
( spl0_243
| ~ spl0_42
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f585,f521,f314,f9584]) ).
fof(f9584,plain,
( spl0_243
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(additive_identity,X1,X2)
| sum(X0,X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(additive_identity,X1,X2)
| sum(X0,X2,additive_identity) )
| ~ spl0_42
| ~ spl0_65 ),
inference(resolution,[],[f522,f315]) ).
fof(f9249,plain,
( spl0_242
| ~ spl0_41
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f4221,f2898,f296,f9247]) ).
fof(f9247,plain,
( spl0_242
<=> ! [X0,X1] :
( sum(X0,X1,X0)
| ~ sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f4221,plain,
( ! [X0,X1] :
( sum(X0,X1,X0)
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_41
| ~ spl0_165 ),
inference(superposition,[],[f2899,f297]) ).
fof(f8394,plain,
( spl0_241
| ~ spl0_41
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f3646,f2779,f296,f8392]) ).
fof(f8392,plain,
( spl0_241
<=> ! [X0,X1] :
( sum(X0,X1,X1)
| ~ sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f3646,plain,
( ! [X0,X1] :
( sum(X0,X1,X1)
| ~ sum(additive_identity,X0,additive_identity) )
| ~ spl0_41
| ~ spl0_155 ),
inference(superposition,[],[f2780,f297]) ).
fof(f7365,plain,
( spl0_240
| ~ spl0_41
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f3475,f2690,f296,f7363]) ).
fof(f7363,plain,
( spl0_240
<=> ! [X0,X1] :
( sum(X0,X1,X0)
| ~ sum(X1,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2690,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X1,X2),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f3475,plain,
( ! [X0,X1] :
( sum(X0,X1,X0)
| ~ sum(X1,additive_identity,additive_identity) )
| ~ spl0_41
| ~ spl0_151 ),
inference(superposition,[],[f2691,f297]) ).
fof(f2691,plain,
( ! [X2,X0,X1] :
( sum(add(X1,X2),X0,X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f2690]) ).
fof(f6503,plain,
( spl0_239
| ~ spl0_32
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2360,f1914,f206,f6501]) ).
fof(f6501,plain,
( spl0_239
<=> ! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ sum(X1,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f206,plain,
( spl0_32
<=> additive_identity = additive_inverse(additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2360,plain,
( ! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ sum(X1,additive_identity,X0) )
| ~ spl0_32
| ~ spl0_126 ),
inference(superposition,[],[f1915,f208]) ).
fof(f208,plain,
( additive_identity = additive_inverse(additive_identity)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f5511,plain,
( spl0_238
| ~ spl0_24
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1488,f1349,f158,f5509]) ).
fof(f5509,plain,
( spl0_238
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,add(add(X1,X2),X0))
| additive_identity = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f1488,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,add(add(X1,X2),X0))
| additive_identity = X2 )
| ~ spl0_24
| ~ spl0_92 ),
inference(resolution,[],[f1350,f159]) ).
fof(f5507,plain,
( spl0_237
| ~ spl0_24
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1441,f1345,f158,f5505]) ).
fof(f5505,plain,
( spl0_237
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,add(X0,add(X1,X2)))
| additive_identity = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f1441,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,add(X0,add(X1,X2)))
| additive_identity = X2 )
| ~ spl0_24
| ~ spl0_91 ),
inference(resolution,[],[f1346,f159]) ).
fof(f5452,plain,
( spl0_236
| ~ spl0_22
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1419,f1341,f150,f5450]) ).
fof(f5450,plain,
( spl0_236
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X1,X2) = add(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f150,plain,
( spl0_22
<=> ! [X0,X1] :
( X0 = X1
| ~ sum(additive_identity,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1419,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X1,X2) = add(X2,X0) )
| ~ spl0_22
| ~ spl0_90 ),
inference(resolution,[],[f1342,f151]) ).
fof(f151,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| X0 = X1 )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f5448,plain,
( spl0_235
| ~ spl0_24
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1405,f1341,f158,f5446]) ).
fof(f5446,plain,
( spl0_235
<=> ! [X2,X0,X1] :
( ~ sum(add(X0,X1),X2,X0)
| additive_identity = add(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f1405,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,X1),X2,X0)
| additive_identity = add(X1,X2) )
| ~ spl0_24
| ~ spl0_90 ),
inference(resolution,[],[f1342,f159]) ).
fof(f5444,plain,
( spl0_234
| ~ spl0_24
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1368,f1337,f158,f5442]) ).
fof(f5442,plain,
( spl0_234
<=> ! [X2,X0,X1] :
( ~ sum(add(X0,X1),X2,X0)
| additive_identity = add(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f1368,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,X1),X2,X0)
| additive_identity = add(X2,X1) )
| ~ spl0_24
| ~ spl0_89 ),
inference(resolution,[],[f1338,f159]) ).
fof(f5440,plain,
( spl0_233
| ~ spl0_58
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1326,f1068,f464,f5438]) ).
fof(f5438,plain,
( spl0_233
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X1,X0)),X0,X2)
| sum(X2,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f1326,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X1,X0)),X0,X2)
| sum(X2,X1,additive_identity) )
| ~ spl0_58
| ~ spl0_87 ),
inference(superposition,[],[f1069,f465]) ).
fof(f5436,plain,
( spl0_232
| ~ spl0_32
| ~ spl0_68
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1305,f1064,f533,f206,f5434]) ).
fof(f5434,plain,
( spl0_232
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,add(X1,additive_inverse(X0)),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f1305,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,add(X1,additive_inverse(X0)),additive_identity) )
| ~ spl0_32
| ~ spl0_68
| ~ spl0_86 ),
inference(forward_demodulation,[],[f1292,f208]) ).
fof(f1292,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(additive_identity),X0,X1)
| sum(additive_identity,add(X1,additive_inverse(X0)),additive_identity) )
| ~ spl0_68
| ~ spl0_86 ),
inference(resolution,[],[f1065,f534]) ).
fof(f5432,plain,
( spl0_231
| ~ spl0_58
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1299,f1064,f464,f5430]) ).
fof(f5430,plain,
( spl0_231
<=> ! [X2,X0,X1] :
( sum(X2,additive_identity,add(additive_inverse(X1),X0))
| ~ sum(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f1299,plain,
( ! [X2,X0,X1] :
( sum(X2,additive_identity,add(additive_inverse(X1),X0))
| ~ sum(X2,X1,X0) )
| ~ spl0_58
| ~ spl0_86 ),
inference(superposition,[],[f1065,f465]) ).
fof(f5428,plain,
( spl0_230
| ~ spl0_8
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1280,f1064,f51,f5426]) ).
fof(f5426,plain,
( spl0_230
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,X0,add(X2,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f1280,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,X0,add(X2,additive_inverse(X1))) )
| ~ spl0_8
| ~ spl0_86 ),
inference(resolution,[],[f1065,f52]) ).
fof(f5424,plain,
( spl0_229
| ~ spl0_32
| ~ spl0_68
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1267,f1060,f533,f206,f5422]) ).
fof(f5422,plain,
( spl0_229
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_inverse(X0),X1)
| sum(additive_identity,add(X1,X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f1267,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_inverse(X0),X1)
| sum(additive_identity,add(X1,X0),additive_identity) )
| ~ spl0_32
| ~ spl0_68
| ~ spl0_85 ),
inference(forward_demodulation,[],[f1254,f208]) ).
fof(f1254,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(additive_identity),additive_inverse(X0),X1)
| sum(additive_identity,add(X1,X0),additive_identity) )
| ~ spl0_68
| ~ spl0_85 ),
inference(resolution,[],[f1061,f534]) ).
fof(f5420,plain,
( spl0_228
| ~ spl0_58
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1260,f1060,f464,f5418]) ).
fof(f5418,plain,
( spl0_228
<=> ! [X2,X0,X1] :
( sum(X2,additive_identity,add(X1,X0))
| ~ sum(X2,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f1260,plain,
( ! [X2,X0,X1] :
( sum(X2,additive_identity,add(X1,X0))
| ~ sum(X2,additive_inverse(X1),X0) )
| ~ spl0_58
| ~ spl0_85 ),
inference(superposition,[],[f1061,f465]) ).
fof(f5416,plain,
( spl0_227
| ~ spl0_8
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1242,f1060,f51,f5414]) ).
fof(f5414,plain,
( spl0_227
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(additive_identity,X0,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f1242,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(additive_identity,X0,add(X2,X1)) )
| ~ spl0_8
| ~ spl0_85 ),
inference(resolution,[],[f1061,f52]) ).
fof(f5412,plain,
( spl0_226
| ~ spl0_53
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f5196,f3420,f396,f5410]) ).
fof(f3420,plain,
( spl0_182
<=> ! [X0,X1] : sum(X0,add(additive_inverse(X0),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f5196,plain,
( ! [X0,X1] : sum(additive_inverse(X0),add(X0,X1),X1)
| ~ spl0_53
| ~ spl0_182 ),
inference(superposition,[],[f3421,f397]) ).
fof(f3421,plain,
( ! [X0,X1] : sum(X0,add(additive_inverse(X0),X1),X1)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f3420]) ).
fof(f5408,plain,
( spl0_225
| ~ spl0_53
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1216,f1056,f396,f5406]) ).
fof(f5406,plain,
( spl0_225
<=> ! [X2,X0,X1] :
( sum(add(X0,X1),additive_inverse(X0),X2)
| ~ sum(X1,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f1216,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),additive_inverse(X0),X2)
| ~ sum(X1,additive_identity,X2) )
| ~ spl0_53
| ~ spl0_84 ),
inference(superposition,[],[f1057,f397]) ).
fof(f5404,plain,
( spl0_224
| ~ spl0_29
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1197,f1056,f194,f5402]) ).
fof(f5402,plain,
( spl0_224
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| additive_inverse(add(additive_inverse(X1),X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f194,plain,
( spl0_29
<=> ! [X0,X1] :
( additive_inverse(X1) = X0
| ~ sum(X1,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1197,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| additive_inverse(add(additive_inverse(X1),X0)) = X1 )
| ~ spl0_29
| ~ spl0_84 ),
inference(resolution,[],[f1057,f195]) ).
fof(f195,plain,
( ! [X0,X1] :
( ~ sum(X1,X0,additive_identity)
| additive_inverse(X1) = X0 )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f5400,plain,
( spl0_223
| ~ spl0_8
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1185,f1056,f51,f5398]) ).
fof(f5398,plain,
( spl0_223
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,add(additive_inverse(X2),X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f1185,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,add(additive_inverse(X2),X0),X1) )
| ~ spl0_8
| ~ spl0_84 ),
inference(resolution,[],[f1057,f52]) ).
fof(f5396,plain,
( spl0_222
| ~ spl0_60
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1183,f1056,f494,f5394]) ).
fof(f5394,plain,
( spl0_222
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(additive_inverse(X1),X0),additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f1183,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(additive_inverse(X1),X0),additive_identity,additive_identity) )
| ~ spl0_60
| ~ spl0_84 ),
inference(resolution,[],[f1057,f495]) ).
fof(f5392,plain,
( spl0_221
| ~ spl0_53
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1165,f1052,f396,f5390]) ).
fof(f5390,plain,
( spl0_221
<=> ! [X2,X0,X1] :
( sum(add(X1,X0),additive_inverse(X0),X2)
| ~ sum(X1,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f1165,plain,
( ! [X2,X0,X1] :
( sum(add(X1,X0),additive_inverse(X0),X2)
| ~ sum(X1,additive_identity,X2) )
| ~ spl0_53
| ~ spl0_83 ),
inference(superposition,[],[f1053,f397]) ).
fof(f5388,plain,
( spl0_220
| ~ spl0_29
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1146,f1052,f194,f5386]) ).
fof(f5386,plain,
( spl0_220
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| additive_inverse(add(X0,additive_inverse(X1))) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f1146,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| additive_inverse(add(X0,additive_inverse(X1))) = X1 )
| ~ spl0_29
| ~ spl0_83 ),
inference(resolution,[],[f1053,f195]) ).
fof(f5384,plain,
( spl0_219
| ~ spl0_8
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1134,f1052,f51,f5382]) ).
fof(f5382,plain,
( spl0_219
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,add(X0,additive_inverse(X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1134,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,add(X0,additive_inverse(X2)),X1) )
| ~ spl0_8
| ~ spl0_83 ),
inference(resolution,[],[f1053,f52]) ).
fof(f5380,plain,
( spl0_218
| ~ spl0_60
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1132,f1052,f494,f5378]) ).
fof(f5378,plain,
( spl0_218
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,additive_inverse(X1)),additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f1132,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,additive_inverse(X1)),additive_identity,additive_identity) )
| ~ spl0_60
| ~ spl0_83 ),
inference(resolution,[],[f1053,f495]) ).
fof(f5376,plain,
( spl0_217
| ~ spl0_53
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1124,f1048,f396,f5374]) ).
fof(f5374,plain,
( spl0_217
<=> ! [X2,X0,X1] :
( sum(X1,add(X0,X2),additive_identity)
| ~ sum(X1,X2,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f1124,plain,
( ! [X2,X0,X1] :
( sum(X1,add(X0,X2),additive_identity)
| ~ sum(X1,X2,additive_inverse(X0)) )
| ~ spl0_53
| ~ spl0_82 ),
inference(superposition,[],[f1049,f397]) ).
fof(f5372,plain,
( spl0_216
| ~ spl0_28
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1122,f1048,f190,f5370]) ).
fof(f5370,plain,
( spl0_216
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| add(additive_inverse(X2),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f190,plain,
( spl0_28
<=> ! [X0,X1] :
( X0 = X1
| ~ sum(additive_inverse(X1),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1122,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| add(additive_inverse(X2),X1) = X0 )
| ~ spl0_28
| ~ spl0_82 ),
inference(resolution,[],[f1049,f191]) ).
fof(f191,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X1),X0,additive_identity)
| X0 = X1 )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f5368,plain,
( spl0_215
| ~ spl0_53
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f4482,f2930,f396,f5366]) ).
fof(f5366,plain,
( spl0_215
<=> ! [X0,X1] : sum(additive_inverse(X0),add(X1,X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f2930,plain,
( spl0_173
<=> ! [X0,X1] : sum(X0,add(X1,additive_inverse(X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f4482,plain,
( ! [X0,X1] : sum(additive_inverse(X0),add(X1,X0),X1)
| ~ spl0_53
| ~ spl0_173 ),
inference(superposition,[],[f2931,f397]) ).
fof(f2931,plain,
( ! [X0,X1] : sum(X0,add(X1,additive_inverse(X0)),X1)
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f2930]) ).
fof(f5364,plain,
( spl0_214
| ~ spl0_8
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1107,f1048,f51,f5362]) ).
fof(f5362,plain,
( spl0_214
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(additive_inverse(X2),X1),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f1107,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(additive_inverse(X2),X1),X0,additive_identity) )
| ~ spl0_8
| ~ spl0_82 ),
inference(resolution,[],[f1049,f52]) ).
fof(f5360,plain,
( spl0_213
| ~ spl0_29
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1105,f1048,f194,f5358]) ).
fof(f5358,plain,
( spl0_213
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(X0) = add(additive_inverse(X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f1105,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(X0) = add(additive_inverse(X2),X1) )
| ~ spl0_29
| ~ spl0_82 ),
inference(resolution,[],[f1049,f195]) ).
fof(f5356,plain,
( spl0_212
| ~ spl0_30
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1104,f1048,f198,f5354]) ).
fof(f5354,plain,
( spl0_212
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(add(additive_inverse(X2),X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f1104,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(add(additive_inverse(X2),X1)) = X0 )
| ~ spl0_30
| ~ spl0_82 ),
inference(resolution,[],[f1049,f199]) ).
fof(f5352,plain,
( spl0_211
| ~ spl0_53
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1092,f1044,f396,f5350]) ).
fof(f5350,plain,
( spl0_211
<=> ! [X2,X0,X1] :
( sum(X1,add(X2,X0),additive_identity)
| ~ sum(X1,X2,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f1092,plain,
( ! [X2,X0,X1] :
( sum(X1,add(X2,X0),additive_identity)
| ~ sum(X1,X2,additive_inverse(X0)) )
| ~ spl0_53
| ~ spl0_81 ),
inference(superposition,[],[f1045,f397]) ).
fof(f5348,plain,
( spl0_210
| ~ spl0_28
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1090,f1044,f190,f5346]) ).
fof(f5346,plain,
( spl0_210
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| add(X1,additive_inverse(X2)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f1090,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| add(X1,additive_inverse(X2)) = X0 )
| ~ spl0_28
| ~ spl0_81 ),
inference(resolution,[],[f1045,f191]) ).
fof(f5344,plain,
( spl0_209
| ~ spl0_8
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1075,f1044,f51,f5342]) ).
fof(f1075,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,additive_inverse(X2)),X0,additive_identity) )
| ~ spl0_8
| ~ spl0_81 ),
inference(resolution,[],[f1045,f52]) ).
fof(f5340,plain,
( spl0_208
| ~ spl0_29
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1073,f1044,f194,f5338]) ).
fof(f1073,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(X0) = add(X1,additive_inverse(X2)) )
| ~ spl0_29
| ~ spl0_81 ),
inference(resolution,[],[f1045,f195]) ).
fof(f5336,plain,
( spl0_207
| ~ spl0_30
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1072,f1044,f198,f5334]) ).
fof(f5334,plain,
( spl0_207
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(add(X1,additive_inverse(X2))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f1072,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_inverse(add(X1,additive_inverse(X2))) = X0 )
| ~ spl0_30
| ~ spl0_81 ),
inference(resolution,[],[f1045,f199]) ).
fof(f5332,plain,
( spl0_206
| ~ spl0_66
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1032,f815,f525,f5330]) ).
fof(f5330,plain,
( spl0_206
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_identity,additive_identity,add(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f1032,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_identity,additive_identity,add(X0,X1)) )
| ~ spl0_66
| ~ spl0_79 ),
inference(resolution,[],[f816,f526]) ).
fof(f5328,plain,
( spl0_205
| ~ spl0_67
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1026,f815,f529,f5326]) ).
fof(f5326,plain,
( spl0_205
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,additive_identity,add(X0,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f1026,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,additive_identity,add(X0,additive_inverse(X1))) )
| ~ spl0_67
| ~ spl0_79 ),
inference(resolution,[],[f816,f530]) ).
fof(f5270,plain,
( spl0_204
| ~ spl0_63
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1018,f815,f513,f5268]) ).
fof(f5268,plain,
( spl0_204
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X2,X1) = add(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f1018,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X2,X1) = add(X0,X2) )
| ~ spl0_63
| ~ spl0_79 ),
inference(resolution,[],[f816,f514]) ).
fof(f5266,plain,
( spl0_203
| ~ spl0_33
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1014,f815,f231,f5264]) ).
fof(f5264,plain,
( spl0_203
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X1,X2) = add(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f1014,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X1,X2) = add(X0,X2) )
| ~ spl0_33
| ~ spl0_79 ),
inference(resolution,[],[f816,f232]) ).
fof(f5262,plain,
( spl0_202
| ~ spl0_66
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f991,f811,f525,f5260]) ).
fof(f991,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_identity,additive_identity,add(X1,X0)) )
| ~ spl0_66
| ~ spl0_78 ),
inference(resolution,[],[f812,f526]) ).
fof(f5258,plain,
( spl0_201
| ~ spl0_68
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f990,f811,f533,f5256]) ).
fof(f5256,plain,
( spl0_201
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_identity,add(X1,X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f990,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_identity,add(X1,X0),additive_identity) )
| ~ spl0_68
| ~ spl0_78 ),
inference(resolution,[],[f812,f534]) ).
fof(f5254,plain,
( spl0_200
| ~ spl0_67
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f985,f811,f529,f5252]) ).
fof(f985,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_identity,additive_identity,add(X1,additive_inverse(X0))) )
| ~ spl0_67
| ~ spl0_78 ),
inference(resolution,[],[f812,f530]) ).
fof(f5250,plain,
( spl0_199
| ~ spl0_63
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f977,f811,f513,f5248]) ).
fof(f5248,plain,
( spl0_199
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X2) = add(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f977,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X2) = add(X2,X0) )
| ~ spl0_63
| ~ spl0_78 ),
inference(resolution,[],[f812,f514]) ).
fof(f5246,plain,
( spl0_198
| ~ spl0_33
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f973,f811,f231,f5244]) ).
fof(f5244,plain,
( spl0_198
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X2) = add(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X2) = add(X0,X2) )
| ~ spl0_33
| ~ spl0_78 ),
inference(resolution,[],[f812,f232]) ).
fof(f5242,plain,
( spl0_197
| ~ spl0_62
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f943,f807,f509,f5240]) ).
fof(f5240,plain,
( spl0_197
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,add(X2,add(X1,X0)))
| additive_identity = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,add(X2,add(X1,X0)))
| additive_identity = X2 )
| ~ spl0_62
| ~ spl0_77 ),
inference(resolution,[],[f808,f510]) ).
fof(f5238,plain,
( spl0_196
| ~ spl0_35
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f941,f807,f239,f5236]) ).
fof(f5236,plain,
( spl0_196
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,add(add(X1,X0),X2))
| additive_identity = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f941,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,add(add(X1,X0),X2))
| additive_identity = X2 )
| ~ spl0_35
| ~ spl0_77 ),
inference(resolution,[],[f808,f240]) ).
fof(f5234,plain,
( spl0_195
| ~ spl0_62
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f905,f803,f509,f5232]) ).
fof(f5232,plain,
( spl0_195
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,add(X2,add(X0,X1)))
| additive_identity = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f905,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,add(X2,add(X0,X1)))
| additive_identity = X2 )
| ~ spl0_62
| ~ spl0_76 ),
inference(resolution,[],[f804,f510]) ).
fof(f5155,plain,
( spl0_194
| ~ spl0_35
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f903,f803,f239,f5153]) ).
fof(f5153,plain,
( spl0_194
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,add(add(X0,X1),X2))
| additive_identity = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f903,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,add(add(X0,X1),X2))
| additive_identity = X2 )
| ~ spl0_35
| ~ spl0_76 ),
inference(resolution,[],[f804,f240]) ).
fof(f5151,plain,
( spl0_193
| ~ spl0_66
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f870,f799,f525,f5149]) ).
fof(f5149,plain,
( spl0_193
<=> ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f870,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_66
| ~ spl0_75 ),
inference(resolution,[],[f800,f526]) ).
fof(f5147,plain,
( spl0_192
| ~ spl0_62
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f866,f799,f509,f5145]) ).
fof(f5145,plain,
( spl0_192
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X2,X0),X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f866,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X2,X0),X1) = X2 )
| ~ spl0_62
| ~ spl0_75 ),
inference(resolution,[],[f800,f510]) ).
fof(f5143,plain,
( spl0_191
| ~ spl0_35
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f865,f799,f239,f5141]) ).
fof(f5141,plain,
( spl0_191
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X0,X2),X1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X0,X2),X1) = X2 )
| ~ spl0_35
| ~ spl0_75 ),
inference(resolution,[],[f800,f240]) ).
fof(f5139,plain,
( spl0_190
| ~ spl0_63
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f862,f799,f513,f5137]) ).
fof(f5137,plain,
( spl0_190
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X2,X1),X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f862,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X2,X1),X0) = X2 )
| ~ spl0_63
| ~ spl0_75 ),
inference(resolution,[],[f800,f514]) ).
fof(f5135,plain,
( spl0_189
| ~ spl0_33
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f858,f799,f231,f5133]) ).
fof(f5133,plain,
( spl0_189
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X2,X1)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f858,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X2,X1)) = X2 )
| ~ spl0_33
| ~ spl0_75 ),
inference(resolution,[],[f800,f232]) ).
fof(f5131,plain,
( spl0_188
| ~ spl0_66
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f838,f795,f525,f5129]) ).
fof(f5129,plain,
( spl0_188
<=> ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f838,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_66
| ~ spl0_74 ),
inference(resolution,[],[f796,f526]) ).
fof(f5127,plain,
( spl0_187
| ~ spl0_62
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f834,f795,f509,f5125]) ).
fof(f5125,plain,
( spl0_187
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X1,add(X2,X0)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f834,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X1,add(X2,X0)) = X2 )
| ~ spl0_62
| ~ spl0_74 ),
inference(resolution,[],[f796,f510]) ).
fof(f5123,plain,
( spl0_186
| ~ spl0_35
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f833,f795,f239,f5121]) ).
fof(f5121,plain,
( spl0_186
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X1,add(X0,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f833,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X1,add(X0,X2)) = X2 )
| ~ spl0_35
| ~ spl0_74 ),
inference(resolution,[],[f796,f240]) ).
fof(f5119,plain,
( spl0_185
| ~ spl0_63
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f830,f795,f513,f5117]) ).
fof(f5117,plain,
( spl0_185
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X1,X2),X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f830,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X1,X2),X0) = X2 )
| ~ spl0_63
| ~ spl0_74 ),
inference(resolution,[],[f796,f514]) ).
fof(f5058,plain,
( spl0_184
| ~ spl0_33
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f826,f795,f231,f5056]) ).
fof(f5056,plain,
( spl0_184
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X1,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f826,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X1,X2)) = X2 )
| ~ spl0_33
| ~ spl0_74 ),
inference(resolution,[],[f796,f232]) ).
fof(f3927,plain,
( spl0_183
| ~ spl0_53
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2852,f2654,f396,f3925]) ).
fof(f2852,plain,
( ! [X0,X1] : sum(add(X0,X1),additive_inverse(X0),X1)
| ~ spl0_53
| ~ spl0_142 ),
inference(superposition,[],[f2655,f397]) ).
fof(f3422,plain,
( spl0_182
| ~ spl0_8
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f2815,f2654,f51,f3420]) ).
fof(f2815,plain,
( ! [X0,X1] : sum(X0,add(additive_inverse(X0),X1),X1)
| ~ spl0_8
| ~ spl0_142 ),
inference(resolution,[],[f2655,f52]) ).
fof(f3062,plain,
( spl0_181
| ~ spl0_53
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2739,f2446,f396,f3060]) ).
fof(f3060,plain,
( spl0_181
<=> ! [X0,X1] : sum(add(X1,X0),additive_inverse(X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f2739,plain,
( ! [X0,X1] : sum(add(X1,X0),additive_inverse(X0),X1)
| ~ spl0_53
| ~ spl0_136 ),
inference(superposition,[],[f2447,f397]) ).
fof(f2960,plain,
( spl0_180
| ~ spl0_46
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1517,f1349,f355,f2958]) ).
fof(f2958,plain,
( spl0_180
<=> ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X0,X2))
| ~ sum(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1517,plain,
( ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X0,X2))
| ~ sum(X2,X0,X1) )
| ~ spl0_46
| ~ spl0_92 ),
inference(superposition,[],[f1350,f356]) ).
fof(f2956,plain,
( spl0_179
| ~ spl0_41
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1516,f1349,f296,f2954]) ).
fof(f2954,plain,
( spl0_179
<=> ! [X2,X0,X1] :
( sum(X1,X0,add(X0,X2))
| ~ sum(X2,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1516,plain,
( ! [X2,X0,X1] :
( sum(X1,X0,add(X0,X2))
| ~ sum(X2,additive_identity,X1) )
| ~ spl0_41
| ~ spl0_92 ),
inference(superposition,[],[f1350,f297]) ).
fof(f2952,plain,
( spl0_178
| ~ spl0_46
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1470,f1345,f355,f2950]) ).
fof(f2950,plain,
( spl0_178
<=> ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X2,X0))
| ~ sum(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1470,plain,
( ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X2,X0))
| ~ sum(X2,X0,X1) )
| ~ spl0_46
| ~ spl0_91 ),
inference(superposition,[],[f1346,f356]) ).
fof(f2948,plain,
( spl0_177
| ~ spl0_41
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f1469,f1345,f296,f2946]) ).
fof(f2946,plain,
( spl0_177
<=> ! [X2,X0,X1] :
( sum(X1,X0,add(X2,X0))
| ~ sum(X2,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1469,plain,
( ! [X2,X0,X1] :
( sum(X1,X0,add(X2,X0))
| ~ sum(X2,additive_identity,X1) )
| ~ spl0_41
| ~ spl0_91 ),
inference(superposition,[],[f1346,f297]) ).
fof(f2944,plain,
( spl0_176
| ~ spl0_41
| ~ spl0_65
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1333,f1068,f521,f296,f2942]) ).
fof(f1333,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X1),X0,additive_identity)
| sum(additive_inverse(X0),X1,additive_identity) )
| ~ spl0_41
| ~ spl0_65
| ~ spl0_87 ),
inference(forward_demodulation,[],[f1322,f297]) ).
fof(f1322,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X1,additive_identity)
| ~ sum(additive_inverse(add(additive_identity,X1)),X0,additive_identity) )
| ~ spl0_65
| ~ spl0_87 ),
inference(resolution,[],[f1069,f522]) ).
fof(f2940,plain,
( spl0_175
| ~ spl0_23
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1236,f1060,f154,f2938]) ).
fof(f2938,plain,
( spl0_175
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X2,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f154,plain,
( spl0_23
<=> ! [X0,X1] :
( X0 = X1
| ~ sum(X1,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1236,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X2,X1) = X0 )
| ~ spl0_23
| ~ spl0_85 ),
inference(resolution,[],[f1061,f155]) ).
fof(f155,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_identity,X0)
| X0 = X1 )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f2936,plain,
( spl0_174
| ~ spl0_53
| ~ spl0_64
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1228,f1056,f517,f396,f2934]) ).
fof(f1228,plain,
( ! [X0,X1] :
( sum(add(X1,X0),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_53
| ~ spl0_64
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1211,f397]) ).
fof(f1211,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(add(additive_inverse(additive_inverse(X1)),X0),additive_identity,X1) )
| ~ spl0_64
| ~ spl0_84 ),
inference(resolution,[],[f1057,f518]) ).
fof(f2932,plain,
( spl0_173
| ~ spl0_8
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f2702,f2446,f51,f2930]) ).
fof(f2702,plain,
( ! [X0,X1] : sum(X0,add(X1,additive_inverse(X0)),X1)
| ~ spl0_8
| ~ spl0_136 ),
inference(resolution,[],[f2447,f52]) ).
fof(f2928,plain,
( spl0_172
| ~ spl0_24
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1182,f1056,f158,f2926]) ).
fof(f1182,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,add(additive_inverse(X1),X0))
| additive_identity = X1 )
| ~ spl0_24
| ~ spl0_84 ),
inference(resolution,[],[f1057,f159]) ).
fof(f2924,plain,
( spl0_171
| ~ spl0_53
| ~ spl0_64
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1177,f1052,f517,f396,f2922]) ).
fof(f1177,plain,
( ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_53
| ~ spl0_64
| ~ spl0_83 ),
inference(forward_demodulation,[],[f1160,f397]) ).
fof(f1160,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(add(X0,additive_inverse(additive_inverse(X1))),additive_identity,X1) )
| ~ spl0_64
| ~ spl0_83 ),
inference(resolution,[],[f1053,f518]) ).
fof(f2920,plain,
( spl0_170
| ~ spl0_24
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1131,f1052,f158,f2918]) ).
fof(f1131,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,additive_inverse(X1)))
| additive_identity = X1 )
| ~ spl0_24
| ~ spl0_83 ),
inference(resolution,[],[f1053,f159]) ).
fof(f2916,plain,
( spl0_169
| ~ spl0_24
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1106,f1048,f158,f2914]) ).
fof(f2914,plain,
( spl0_169
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_identity = add(additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f1106,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_identity = add(additive_inverse(X1),X0) )
| ~ spl0_24
| ~ spl0_82 ),
inference(resolution,[],[f1049,f159]) ).
fof(f2912,plain,
( spl0_168
| ~ spl0_58
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1037,f815,f464,f2910]) ).
fof(f1037,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(additive_identity,X0,X2) )
| ~ spl0_58
| ~ spl0_79 ),
inference(superposition,[],[f816,f465]) ).
fof(f2908,plain,
( spl0_167
| ~ spl0_26
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1033,f815,f182,f2906]) ).
fof(f2906,plain,
( spl0_167
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_identity = add(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1033,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_identity = add(X0,X1) )
| ~ spl0_26
| ~ spl0_79 ),
inference(resolution,[],[f816,f183]) ).
fof(f2904,plain,
( spl0_166
| ~ spl0_27
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1027,f815,f186,f2902]) ).
fof(f2902,plain,
( spl0_166
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_identity = add(X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f186,plain,
( spl0_27
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1027,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_identity = add(X0,additive_inverse(X1)) )
| ~ spl0_27
| ~ spl0_79 ),
inference(resolution,[],[f816,f187]) ).
fof(f187,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_inverse(X1),X0)
| additive_identity = X0 )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f2900,plain,
( spl0_165
| ~ spl0_8
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1008,f815,f51,f2898]) ).
fof(f1008,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X2,X1,add(X0,X2)) )
| ~ spl0_8
| ~ spl0_79 ),
inference(resolution,[],[f816,f52]) ).
fof(f2896,plain,
( spl0_164
| ~ spl0_58
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f996,f811,f464,f2894]) ).
fof(f996,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(X2,additive_identity,X0) )
| ~ spl0_58
| ~ spl0_78 ),
inference(superposition,[],[f812,f465]) ).
fof(f2892,plain,
( spl0_163
| ~ spl0_26
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f992,f811,f182,f2890]) ).
fof(f2890,plain,
( spl0_163
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| additive_identity = add(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f992,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| additive_identity = add(X1,X0) )
| ~ spl0_26
| ~ spl0_78 ),
inference(resolution,[],[f812,f183]) ).
fof(f2809,plain,
( spl0_162
| ~ spl0_27
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f986,f811,f186,f2807]) ).
fof(f2807,plain,
( spl0_162
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(X1,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f986,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(X1,additive_inverse(X0)) )
| ~ spl0_27
| ~ spl0_78 ),
inference(resolution,[],[f812,f187]) ).
fof(f2805,plain,
( spl0_161
| ~ spl0_8
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f967,f811,f51,f2803]) ).
fof(f967,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,X0,add(X1,X2)) )
| ~ spl0_8
| ~ spl0_78 ),
inference(resolution,[],[f812,f52]) ).
fof(f2801,plain,
( spl0_160
| ~ spl0_29
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f940,f807,f194,f2799]) ).
fof(f2799,plain,
( spl0_160
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_identity = additive_inverse(add(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f940,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_identity = additive_inverse(add(X1,X0)) )
| ~ spl0_29
| ~ spl0_77 ),
inference(resolution,[],[f808,f195]) ).
fof(f2797,plain,
( spl0_159
| ~ spl0_8
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f928,f807,f51,f2795]) ).
fof(f2795,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f928,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X1,X0),X2) )
| ~ spl0_8
| ~ spl0_77 ),
inference(resolution,[],[f808,f52]) ).
fof(f2793,plain,
( spl0_158
| ~ spl0_59
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f924,f807,f490,f2791]) ).
fof(f924,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X1,X0),X2,X2) )
| ~ spl0_59
| ~ spl0_77 ),
inference(resolution,[],[f808,f491]) ).
fof(f2789,plain,
( spl0_157
| ~ spl0_29
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f902,f803,f194,f2787]) ).
fof(f2787,plain,
( spl0_157
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_identity = additive_inverse(add(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f902,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_identity = additive_inverse(add(X0,X1)) )
| ~ spl0_29
| ~ spl0_76 ),
inference(resolution,[],[f804,f195]) ).
fof(f2785,plain,
( spl0_156
| ~ spl0_8
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f890,f803,f51,f2783]) ).
fof(f2783,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f890,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X0,X1),X2) )
| ~ spl0_8
| ~ spl0_76 ),
inference(resolution,[],[f804,f52]) ).
fof(f2781,plain,
( spl0_155
| ~ spl0_59
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f886,f803,f490,f2779]) ).
fof(f886,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X0,X1),X2,X2) )
| ~ spl0_59
| ~ spl0_76 ),
inference(resolution,[],[f804,f491]) ).
fof(f2777,plain,
( spl0_154
| ~ spl0_26
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f871,f799,f182,f2775]) ).
fof(f871,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| additive_identity = X0 )
| ~ spl0_26
| ~ spl0_75 ),
inference(resolution,[],[f800,f183]) ).
fof(f2773,plain,
( spl0_153
| ~ spl0_8
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f852,f799,f51,f2771]) ).
fof(f2771,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X2,X1),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f852,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X2,X1),X0,X2) )
| ~ spl0_8
| ~ spl0_75 ),
inference(resolution,[],[f800,f52]) ).
fof(f2696,plain,
( spl0_152
| ~ spl0_26
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f839,f795,f182,f2694]) ).
fof(f839,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| additive_identity = X1 )
| ~ spl0_26
| ~ spl0_74 ),
inference(resolution,[],[f796,f183]) ).
fof(f2692,plain,
( spl0_151
| ~ spl0_8
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f820,f795,f51,f2690]) ).
fof(f820,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X1,X2),X0,X2) )
| ~ spl0_8
| ~ spl0_74 ),
inference(resolution,[],[f796,f52]) ).
fof(f2688,plain,
( spl0_150
| ~ spl0_61
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f777,f549,f505,f2686]) ).
fof(f777,plain,
( ! [X2,X0,X1] :
( ~ sum(add(additive_inverse(X0),X1),X0,X2)
| X1 = X2 )
| ~ spl0_61
| ~ spl0_72 ),
inference(resolution,[],[f550,f506]) ).
fof(f2684,plain,
( spl0_149
| ~ spl0_62
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f776,f549,f509,f2682]) ).
fof(f2682,plain,
( spl0_149
<=> ! [X2,X0,X1] :
( ~ sum(add(X0,X1),X2,X1)
| additive_inverse(X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f776,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,X1),X2,X1)
| additive_inverse(X2) = X0 )
| ~ spl0_62
| ~ spl0_72 ),
inference(resolution,[],[f550,f510]) ).
fof(f2680,plain,
( spl0_148
| ~ spl0_36
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f775,f549,f243,f2678]) ).
fof(f775,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,additive_inverse(X1)),X1,X2)
| X0 = X2 )
| ~ spl0_36
| ~ spl0_72 ),
inference(resolution,[],[f550,f244]) ).
fof(f2676,plain,
( spl0_147
| ~ spl0_35
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f774,f549,f239,f2674]) ).
fof(f2674,plain,
( spl0_147
<=> ! [X2,X0,X1] :
( ~ sum(add(X0,X1),X2,X0)
| additive_inverse(X2) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f774,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,X1),X2,X0)
| additive_inverse(X2) = X1 )
| ~ spl0_35
| ~ spl0_72 ),
inference(resolution,[],[f550,f240]) ).
fof(f2672,plain,
( spl0_146
| ~ spl0_63
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f771,f549,f513,f2670]) ).
fof(f771,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(additive_inverse(X1),X2) = X0 )
| ~ spl0_63
| ~ spl0_72 ),
inference(resolution,[],[f550,f514]) ).
fof(f2668,plain,
( spl0_145
| ~ spl0_33
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f767,f549,f231,f2666]) ).
fof(f2666,plain,
( spl0_145
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,additive_inverse(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f767,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,additive_inverse(X1)) = X0 )
| ~ spl0_33
| ~ spl0_72 ),
inference(resolution,[],[f550,f232]) ).
fof(f2664,plain,
( spl0_144
| ~ spl0_61
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f726,f545,f505,f2662]) ).
fof(f726,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(X0,X1))
| additive_inverse(X0) = X1 )
| ~ spl0_61
| ~ spl0_71 ),
inference(resolution,[],[f546,f506]) ).
fof(f2660,plain,
( spl0_143
| ~ spl0_62
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f725,f545,f509,f2658]) ).
fof(f2658,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(X0,additive_inverse(X1)))
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f725,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(X0,additive_inverse(X1)))
| X0 = X1 )
| ~ spl0_62
| ~ spl0_71 ),
inference(resolution,[],[f546,f510]) ).
fof(f2656,plain,
( spl0_142
| ~ spl0_13
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2380,f1918,f87,f2654]) ).
fof(f87,plain,
( spl0_13
<=> ! [X0,X1] : sum(X0,X1,add(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f2380,plain,
( ! [X0,X1] : sum(add(additive_inverse(X0),X1),X0,X1)
| ~ spl0_13
| ~ spl0_127 ),
inference(resolution,[],[f1919,f88]) ).
fof(f88,plain,
( ! [X0,X1] : sum(X0,X1,add(X1,X0))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f2652,plain,
( spl0_141
| ~ spl0_36
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f724,f545,f243,f2650]) ).
fof(f2650,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(X0,X1))
| additive_inverse(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f724,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(X0,X1))
| additive_inverse(X1) = X0 )
| ~ spl0_36
| ~ spl0_71 ),
inference(resolution,[],[f546,f244]) ).
fof(f2648,plain,
( spl0_140
| ~ spl0_35
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f723,f545,f239,f2646]) ).
fof(f723,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,add(additive_inverse(X0),X1))
| X0 = X1 )
| ~ spl0_35
| ~ spl0_71 ),
inference(resolution,[],[f546,f240]) ).
fof(f2644,plain,
( spl0_139
| ~ spl0_63
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f694,f541,f513,f2642]) ).
fof(f2642,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(additive_inverse(X1),X0) )
| ~ spl0_63
| ~ spl0_70 ),
inference(resolution,[],[f542,f514]) ).
fof(f2640,plain,
( spl0_138
| ~ spl0_33
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f690,f541,f231,f2638]) ).
fof(f2638,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f690,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(X0,additive_inverse(X1)) )
| ~ spl0_33
| ~ spl0_70 ),
inference(resolution,[],[f542,f232]) ).
fof(f2636,plain,
( spl0_137
| ~ spl0_64
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f666,f537,f517,f2634]) ).
fof(f537,plain,
( spl0_69
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(X0),X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f666,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_inverse(X0),additive_identity,X1) )
| ~ spl0_64
| ~ spl0_69 ),
inference(resolution,[],[f538,f518]) ).
fof(f538,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X1,additive_identity)
| ~ sum(additive_identity,X0,X1) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f2448,plain,
( spl0_136
| ~ spl0_7
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2379,f1918,f47,f2446]) ).
fof(f2379,plain,
( ! [X0,X1] : sum(add(X0,additive_inverse(X1)),X1,X0)
| ~ spl0_7
| ~ spl0_127 ),
inference(resolution,[],[f1919,f48]) ).
fof(f1952,plain,
( spl0_135
| ~ spl0_35
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1402,f1341,f239,f1950]) ).
fof(f1402,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| add(X2,X1) = X2 )
| ~ spl0_35
| ~ spl0_90 ),
inference(resolution,[],[f1342,f240]) ).
fof(f1948,plain,
( spl0_134
| ~ spl0_35
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1365,f1337,f239,f1946]) ).
fof(f1365,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X0)
| add(X1,X2) = X2 )
| ~ spl0_35
| ~ spl0_89 ),
inference(resolution,[],[f1338,f240]) ).
fof(f1944,plain,
( spl0_133
| ~ spl0_7
| ~ spl0_58
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1330,f1068,f464,f47,f1942]) ).
fof(f1330,plain,
( ! [X0,X1] : sum(add(X0,additive_inverse(add(X0,X1))),X1,additive_identity)
| ~ spl0_7
| ~ spl0_58
| ~ spl0_87 ),
inference(forward_demodulation,[],[f1316,f465]) ).
fof(f1316,plain,
( ! [X0,X1] : sum(add(additive_inverse(add(X0,X1)),X0),X1,additive_identity)
| ~ spl0_7
| ~ spl0_87 ),
inference(resolution,[],[f1069,f48]) ).
fof(f1940,plain,
( spl0_132
| ~ spl0_41
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1323,f1068,f296,f1938]) ).
fof(f1938,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(X1,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1323,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(X1,X0,additive_identity) )
| ~ spl0_41
| ~ spl0_87 ),
inference(superposition,[],[f1069,f297]) ).
fof(f1936,plain,
( spl0_131
| ~ spl0_31
| ~ spl0_53
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1229,f1056,f396,f202,f1934]) ).
fof(f1229,plain,
( ! [X0,X1] :
( add(X1,X0) = X1
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_31
| ~ spl0_53
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1212,f397]) ).
fof(f1212,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| add(additive_inverse(additive_inverse(X1)),X0) = X1 )
| ~ spl0_31
| ~ spl0_84 ),
inference(resolution,[],[f1057,f203]) ).
fof(f1932,plain,
( spl0_130
| ~ spl0_31
| ~ spl0_53
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1178,f1052,f396,f202,f1930]) ).
fof(f1178,plain,
( ! [X0,X1] :
( add(X0,X1) = X1
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_31
| ~ spl0_53
| ~ spl0_83 ),
inference(forward_demodulation,[],[f1161,f397]) ).
fof(f1161,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| add(X0,additive_inverse(additive_inverse(X1))) = X1 )
| ~ spl0_31
| ~ spl0_83 ),
inference(resolution,[],[f1053,f203]) ).
fof(f1928,plain,
( spl0_129
| ~ spl0_22
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f989,f811,f150,f1926]) ).
fof(f1926,plain,
( spl0_129
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| add(X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f989,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| add(X0,X1) = X1 )
| ~ spl0_22
| ~ spl0_78 ),
inference(resolution,[],[f812,f151]) ).
fof(f1924,plain,
( spl0_128
| ~ spl0_24
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f966,f811,f158,f1922]) ).
fof(f966,plain,
( ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| additive_identity = X1 )
| ~ spl0_24
| ~ spl0_78 ),
inference(resolution,[],[f812,f159]) ).
fof(f1920,plain,
( spl0_127
| ~ spl0_53
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f785,f549,f396,f1918]) ).
fof(f785,plain,
( ! [X2,X0,X1] :
( sum(X1,X0,X2)
| ~ sum(X2,additive_inverse(X0),X1) )
| ~ spl0_53
| ~ spl0_72 ),
inference(superposition,[],[f550,f397]) ).
fof(f1916,plain,
( spl0_126
| ~ spl0_8
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f761,f549,f51,f1914]) ).
fof(f761,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_inverse(X1),X2,X0) )
| ~ spl0_8
| ~ spl0_72 ),
inference(resolution,[],[f550,f52]) ).
fof(f1912,plain,
( spl0_125
| ~ spl0_60
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f759,f549,f494,f1910]) ).
fof(f1910,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(X1,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f759,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(X1,additive_identity,additive_identity) )
| ~ spl0_60
| ~ spl0_72 ),
inference(resolution,[],[f550,f495]) ).
fof(f1908,plain,
( spl0_124
| ~ spl0_8
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f710,f545,f51,f1906]) ).
fof(f710,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(X1,additive_inverse(X1),X0) )
| ~ spl0_8
| ~ spl0_71 ),
inference(resolution,[],[f546,f52]) ).
fof(f1904,plain,
( spl0_123
| ~ spl0_53
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f701,f541,f396,f1902]) ).
fof(f1902,plain,
( spl0_123
<=> ! [X0,X1] :
( sum(X1,X0,additive_identity)
| ~ sum(X1,additive_identity,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f701,plain,
( ! [X0,X1] :
( sum(X1,X0,additive_identity)
| ~ sum(X1,additive_identity,additive_inverse(X0)) )
| ~ spl0_53
| ~ spl0_70 ),
inference(superposition,[],[f542,f397]) ).
fof(f1900,plain,
( spl0_122
| ~ spl0_28
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f699,f541,f190,f1898]) ).
fof(f1898,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| additive_inverse(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f699,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| additive_inverse(X1) = X0 )
| ~ spl0_28
| ~ spl0_70 ),
inference(resolution,[],[f542,f191]) ).
fof(f1896,plain,
( spl0_121
| ~ spl0_8
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f684,f541,f51,f1894]) ).
fof(f684,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_inverse(X1),X0,additive_identity) )
| ~ spl0_8
| ~ spl0_70 ),
inference(resolution,[],[f542,f52]) ).
fof(f1892,plain,
( spl0_120
| ~ spl0_29
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f682,f541,f194,f1890]) ).
fof(f1890,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_inverse(X0) = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_inverse(X0) = additive_inverse(X1) )
| ~ spl0_29
| ~ spl0_70 ),
inference(resolution,[],[f542,f195]) ).
fof(f1888,plain,
( spl0_119
| ~ spl0_53
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f673,f537,f396,f1886]) ).
fof(f673,plain,
( ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_identity,additive_inverse(X0),X1) )
| ~ spl0_53
| ~ spl0_69 ),
inference(superposition,[],[f538,f397]) ).
fof(f1884,plain,
( spl0_118
| ~ spl0_31
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f667,f537,f202,f1882]) ).
fof(f1882,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_inverse(X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f667,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_inverse(X0) = X1 )
| ~ spl0_31
| ~ spl0_69 ),
inference(resolution,[],[f538,f203]) ).
fof(f1880,plain,
( spl0_117
| ~ spl0_59
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f658,f537,f490,f1878]) ).
fof(f658,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(additive_inverse(X0),X1,X1) )
| ~ spl0_59
| ~ spl0_69 ),
inference(resolution,[],[f538,f491]) ).
fof(f1876,plain,
( spl0_116
| ~ spl0_30
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f643,f537,f198,f1874]) ).
fof(f1874,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_inverse(X0) = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f643,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_inverse(X0) = additive_inverse(X1) )
| ~ spl0_30
| ~ spl0_69 ),
inference(resolution,[],[f538,f199]) ).
fof(f1872,plain,
( spl0_115
| ~ spl0_53
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f634,f533,f396,f1870]) ).
fof(f1870,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f634,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_53
| ~ spl0_68 ),
inference(superposition,[],[f534,f397]) ).
fof(f1868,plain,
( spl0_114
| ~ spl0_8
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f587,f521,f51,f1866]) ).
fof(f587,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X0,additive_inverse(X1)) )
| ~ spl0_8
| ~ spl0_65 ),
inference(resolution,[],[f522,f52]) ).
fof(f1736,plain,
( spl0_113
| ~ spl0_35
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1237,f1060,f239,f1734]) ).
fof(f1237,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),X0)
| additive_identity = X1 )
| ~ spl0_35
| ~ spl0_85 ),
inference(resolution,[],[f1061,f240]) ).
fof(f1729,plain,
( spl0_112
| ~ spl0_41
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1034,f815,f296,f1727]) ).
fof(f1727,plain,
( spl0_112
<=> ! [X0,X1] :
( sum(X1,X0,X0)
| ~ sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1034,plain,
( ! [X0,X1] :
( sum(X1,X0,X0)
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_41
| ~ spl0_79 ),
inference(superposition,[],[f816,f297]) ).
fof(f1692,plain,
( spl0_111
| ~ spl0_53
| ~ spl0_68
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f787,f549,f533,f396,f1690]) ).
fof(f787,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_53
| ~ spl0_68
| ~ spl0_72 ),
inference(forward_demodulation,[],[f780,f397]) ).
fof(f780,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_inverse(additive_inverse(X1)))
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_68
| ~ spl0_72 ),
inference(resolution,[],[f550,f534]) ).
fof(f1682,plain,
( spl0_110
| ~ spl0_32
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f784,f549,f206,f1680]) ).
fof(f1680,plain,
( spl0_110
<=> ! [X0,X1] :
( sum(X0,additive_identity,X1)
| ~ sum(X1,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f784,plain,
( ! [X0,X1] :
( sum(X0,additive_identity,X1)
| ~ sum(X1,additive_identity,X0) )
| ~ spl0_32
| ~ spl0_72 ),
inference(superposition,[],[f550,f208]) ).
fof(f1666,plain,
( spl0_109
| ~ spl0_13
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f416,f404,f87,f1664]) ).
fof(f416,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(multiply(X3,X1),X2)) )
| ~ spl0_13
| ~ spl0_55 ),
inference(resolution,[],[f405,f88]) ).
fof(f1662,plain,
( spl0_108
| ~ spl0_7
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f415,f404,f47,f1660]) ).
fof(f415,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(X2,multiply(X3,X1))) )
| ~ spl0_7
| ~ spl0_55 ),
inference(resolution,[],[f405,f48]) ).
fof(f1658,plain,
( spl0_107
| ~ spl0_6
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f412,f400,f43,f1656]) ).
fof(f412,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X2,multiply(X3,X1),multiply(X4,X1)) )
| ~ spl0_6
| ~ spl0_54 ),
inference(resolution,[],[f401,f44]) ).
fof(f1654,plain,
( spl0_106
| ~ spl0_13
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f411,f392,f87,f1652]) ).
fof(f411,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(multiply(X0,X3),X2)) )
| ~ spl0_13
| ~ spl0_52 ),
inference(resolution,[],[f393,f88]) ).
fof(f1650,plain,
( spl0_105
| ~ spl0_7
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f410,f392,f47,f1648]) ).
fof(f410,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(X2,multiply(X0,X3))) )
| ~ spl0_7
| ~ spl0_52 ),
inference(resolution,[],[f393,f48]) ).
fof(f1646,plain,
( spl0_104
| ~ spl0_6
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f407,f388,f43,f1644]) ).
fof(f407,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X2,multiply(X0,X3),multiply(X0,X4)) )
| ~ spl0_6
| ~ spl0_51 ),
inference(resolution,[],[f389,f44]) ).
fof(f1642,plain,
( spl0_103
| ~ spl0_24
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f758,f549,f158,f1640]) ).
fof(f758,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = additive_inverse(X1) )
| ~ spl0_24
| ~ spl0_72 ),
inference(resolution,[],[f550,f159]) ).
fof(f1638,plain,
( spl0_102
| ~ spl0_4
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f414,f404,f35,f1636]) ).
fof(f1636,plain,
( spl0_102
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,additive_inverse(multiply(X2,X1)))
| ~ sum(X0,X2,X3)
| product(X3,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f35,plain,
( spl0_4
<=> ! [X0] : sum(additive_inverse(X0),X0,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f414,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,additive_inverse(multiply(X2,X1)))
| ~ sum(X0,X2,X3)
| product(X3,X1,additive_identity) )
| ~ spl0_4
| ~ spl0_55 ),
inference(resolution,[],[f405,f36]) ).
fof(f36,plain,
( ! [X0] : sum(additive_inverse(X0),X0,additive_identity)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f1634,plain,
( spl0_101
| ~ spl0_4
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f409,f392,f35,f1632]) ).
fof(f1632,plain,
( spl0_101
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,additive_inverse(multiply(X0,X2)))
| ~ sum(X1,X2,X3)
| product(X0,X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f409,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,additive_inverse(multiply(X0,X2)))
| ~ sum(X1,X2,X3)
| product(X0,X3,additive_identity) )
| ~ spl0_4
| ~ spl0_52 ),
inference(resolution,[],[f393,f36]) ).
fof(f1575,plain,
( spl0_100
| ~ spl0_2
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f413,f404,f27,f1573]) ).
fof(f1573,plain,
( spl0_100
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| product(X3,X1,multiply(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f413,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| product(X3,X1,multiply(X2,X1)) )
| ~ spl0_2
| ~ spl0_55 ),
inference(resolution,[],[f405,f28]) ).
fof(f1571,plain,
( spl0_99
| ~ spl0_2
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f408,f392,f27,f1569]) ).
fof(f1569,plain,
( spl0_99
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| product(X0,X3,multiply(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f408,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| product(X0,X3,multiply(X0,X2)) )
| ~ spl0_2
| ~ spl0_52 ),
inference(resolution,[],[f393,f28]) ).
fof(f1567,plain,
( spl0_98
| ~ spl0_64
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f754,f549,f517,f1565]) ).
fof(f754,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,additive_identity,X0) )
| ~ spl0_64
| ~ spl0_72 ),
inference(resolution,[],[f550,f518]) ).
fof(f1563,plain,
( spl0_97
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f128,f96,f87,f1561]) ).
fof(f128,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,add(X3,X2)) )
| ~ spl0_13
| ~ spl0_14 ),
inference(resolution,[],[f88,f97]) ).
fof(f1559,plain,
( spl0_96
| ~ spl0_13
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f127,f100,f87,f1557]) ).
fof(f127,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X2,X4)
| sum(X4,X1,X3) )
| ~ spl0_13
| ~ spl0_15 ),
inference(resolution,[],[f88,f101]) ).
fof(f1363,plain,
( spl0_95
| ~ spl0_6
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f386,f371,f43,f1361]) ).
fof(f386,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X2,X3,multiply(X0,multiply(X1,X3))) )
| ~ spl0_6
| ~ spl0_50 ),
inference(resolution,[],[f372,f44]) ).
fof(f1359,plain,
( spl0_94
| ~ spl0_6
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f385,f367,f43,f1357]) ).
fof(f385,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,multiply(X1,X3),multiply(X2,X3)) )
| ~ spl0_6
| ~ spl0_49 ),
inference(resolution,[],[f368,f44]) ).
fof(f1355,plain,
( spl0_93
| ~ spl0_67
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f752,f549,f529,f1353]) ).
fof(f752,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_67
| ~ spl0_72 ),
inference(resolution,[],[f550,f530]) ).
fof(f1351,plain,
( spl0_92
| ~ spl0_13
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f384,f363,f87,f1349]) ).
fof(f384,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(add(X1,X3),X0)) )
| ~ spl0_13
| ~ spl0_48 ),
inference(resolution,[],[f364,f88]) ).
fof(f1347,plain,
( spl0_91
| ~ spl0_7
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f383,f363,f47,f1345]) ).
fof(f383,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X0,add(X1,X3))) )
| ~ spl0_7
| ~ spl0_48 ),
inference(resolution,[],[f364,f48]) ).
fof(f1343,plain,
( spl0_90
| ~ spl0_13
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f379,f359,f87,f1341]) ).
fof(f379,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X1),add(X2,X3)) )
| ~ spl0_13
| ~ spl0_47 ),
inference(resolution,[],[f360,f88]) ).
fof(f1339,plain,
( spl0_89
| ~ spl0_7
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f378,f359,f47,f1337]) ).
fof(f378,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X1,X3),add(X2,X3)) )
| ~ spl0_7
| ~ spl0_47 ),
inference(resolution,[],[f360,f48]) ).
fof(f1102,plain,
( spl0_88
| ~ spl0_24
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f707,f545,f158,f1100]) ).
fof(f1100,plain,
( spl0_88
<=> ! [X0] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f707,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| additive_identity = X0 )
| ~ spl0_24
| ~ spl0_71 ),
inference(resolution,[],[f546,f159]) ).
fof(f1070,plain,
( spl0_87
| ~ spl0_4
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f382,f363,f35,f1068]) ).
fof(f382,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(X2,X1,additive_identity) )
| ~ spl0_4
| ~ spl0_48 ),
inference(resolution,[],[f364,f36]) ).
fof(f1066,plain,
( spl0_86
| ~ spl0_5
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f377,f359,f39,f1064]) ).
fof(f377,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(X2,additive_inverse(X1))) )
| ~ spl0_5
| ~ spl0_47 ),
inference(resolution,[],[f360,f40]) ).
fof(f1062,plain,
( spl0_85
| ~ spl0_4
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f376,f359,f35,f1060]) ).
fof(f376,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(X0,additive_identity,add(X2,X1)) )
| ~ spl0_4
| ~ spl0_47 ),
inference(resolution,[],[f360,f36]) ).
fof(f1058,plain,
( spl0_84
| ~ spl0_13
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f343,f322,f87,f1056]) ).
fof(f343,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(additive_inverse(X2),X0),X2,X1) )
| ~ spl0_13
| ~ spl0_44 ),
inference(resolution,[],[f323,f88]) ).
fof(f1054,plain,
( spl0_83
| ~ spl0_7
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f342,f322,f47,f1052]) ).
fof(f342,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,additive_inverse(X2)),X2,X1) )
| ~ spl0_7
| ~ spl0_44 ),
inference(resolution,[],[f323,f48]) ).
fof(f1050,plain,
( spl0_82
| ~ spl0_13
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f336,f318,f87,f1048]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(additive_inverse(X2),X1),additive_identity) )
| ~ spl0_13
| ~ spl0_43 ),
inference(resolution,[],[f319,f88]) ).
fof(f1046,plain,
( spl0_81
| ~ spl0_7
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f335,f318,f47,f1044]) ).
fof(f335,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X1,additive_inverse(X2)),additive_identity) )
| ~ spl0_7
| ~ spl0_43 ),
inference(resolution,[],[f319,f48]) ).
fof(f961,plain,
( spl0_80
| ~ spl0_24
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f683,f541,f158,f959]) ).
fof(f959,plain,
( spl0_80
<=> ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| additive_identity = additive_inverse(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f683,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| additive_identity = additive_inverse(X0) )
| ~ spl0_24
| ~ spl0_70 ),
inference(resolution,[],[f542,f159]) ).
fof(f817,plain,
( spl0_79
| ~ spl0_2
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f381,f363,f27,f815]) ).
fof(f381,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,X2,add(X0,X2)) )
| ~ spl0_2
| ~ spl0_48 ),
inference(resolution,[],[f364,f28]) ).
fof(f813,plain,
( spl0_78
| ~ spl0_2
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f374,f359,f27,f811]) ).
fof(f374,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,X2,add(X1,X2)) )
| ~ spl0_2
| ~ spl0_47 ),
inference(resolution,[],[f360,f28]) ).
fof(f809,plain,
( spl0_77
| ~ spl0_13
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f312,f278,f87,f807]) ).
fof(f312,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,X0),additive_identity,X2) )
| ~ spl0_13
| ~ spl0_40 ),
inference(resolution,[],[f279,f88]) ).
fof(f805,plain,
( spl0_76
| ~ spl0_7
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f311,f278,f47,f803]) ).
fof(f311,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X0,X1),additive_identity,X2) )
| ~ spl0_7
| ~ spl0_40 ),
inference(resolution,[],[f279,f48]) ).
fof(f801,plain,
( spl0_75
| ~ spl0_13
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f286,f266,f87,f799]) ).
fof(f286,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X2,X1),X2) )
| ~ spl0_13
| ~ spl0_37 ),
inference(resolution,[],[f267,f88]) ).
fof(f797,plain,
( spl0_74
| ~ spl0_7
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f285,f266,f47,f795]) ).
fof(f285,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X1,X2),X2) )
| ~ spl0_7
| ~ spl0_37 ),
inference(resolution,[],[f267,f48]) ).
fof(f793,plain,
( spl0_73
| ~ spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f633,f533,f206,f791]) ).
fof(f791,plain,
( spl0_73
<=> ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f633,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_32
| ~ spl0_68 ),
inference(superposition,[],[f534,f208]) ).
fof(f551,plain,
( spl0_72
| ~ spl0_3
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f347,f326,f31,f549]) ).
fof(f31,plain,
( spl0_3
<=> ! [X0] : sum(X0,additive_identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f347,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,additive_inverse(X1),X0) )
| ~ spl0_3
| ~ spl0_45 ),
inference(resolution,[],[f327,f32]) ).
fof(f32,plain,
( ! [X0] : sum(X0,additive_identity,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f547,plain,
( spl0_71
| ~ spl0_2
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f339,f322,f27,f545]) ).
fof(f339,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_inverse(X1),X1,X0) )
| ~ spl0_2
| ~ spl0_44 ),
inference(resolution,[],[f323,f28]) ).
fof(f543,plain,
( spl0_70
| ~ spl0_2
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f332,f318,f27,f541]) ).
fof(f332,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,additive_inverse(X1),additive_identity) )
| ~ spl0_2
| ~ spl0_43 ),
inference(resolution,[],[f319,f28]) ).
fof(f539,plain,
( spl0_69
| ~ spl0_3
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f330,f314,f31,f537]) ).
fof(f330,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(X0),X1,additive_identity) )
| ~ spl0_3
| ~ spl0_42 ),
inference(resolution,[],[f315,f32]) ).
fof(f535,plain,
( spl0_68
| ~ spl0_2
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f329,f314,f27,f533]) ).
fof(f329,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_2
| ~ spl0_42 ),
inference(resolution,[],[f315,f28]) ).
fof(f531,plain,
( spl0_67
| ~ spl0_5
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f310,f278,f39,f529]) ).
fof(f310,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_5
| ~ spl0_40 ),
inference(resolution,[],[f279,f40]) ).
fof(f527,plain,
( spl0_66
| ~ spl0_4
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f309,f278,f35,f525]) ).
fof(f309,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_4
| ~ spl0_40 ),
inference(resolution,[],[f279,f36]) ).
fof(f523,plain,
( spl0_65
| ~ spl0_5
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f284,f266,f39,f521]) ).
fof(f284,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,additive_identity,additive_inverse(X1)) )
| ~ spl0_5
| ~ spl0_37 ),
inference(resolution,[],[f267,f40]) ).
fof(f519,plain,
( spl0_64
| ~ spl0_4
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f283,f266,f35,f517]) ).
fof(f283,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1) )
| ~ spl0_4
| ~ spl0_37 ),
inference(resolution,[],[f267,f36]) ).
fof(f515,plain,
( spl0_63
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f131,f87,f60,f513]) ).
fof(f131,plain,
( ! [X2,X0,X1] :
( add(X1,X2) = X0
| ~ sum(X2,X1,X0) )
| ~ spl0_9
| ~ spl0_13 ),
inference(resolution,[],[f88,f61]) ).
fof(f511,plain,
( spl0_62
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f130,f87,f68,f509]) ).
fof(f130,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ sum(X2,X0,add(X1,X2)) )
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f88,f69]) ).
fof(f507,plain,
( spl0_61
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f129,f87,f72,f505]) ).
fof(f129,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ sum(X0,X2,add(X2,X1)) )
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f88,f73]) ).
fof(f496,plain,
( spl0_60
| ~ spl0_4
| ~ spl0_5
| ~ spl0_28
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f338,f318,f190,f39,f35,f494]) ).
fof(f338,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_28
| ~ spl0_43 ),
inference(forward_demodulation,[],[f333,f219]) ).
fof(f219,plain,
( ! [X0] : additive_inverse(additive_inverse(X0)) = X0
| ~ spl0_5
| ~ spl0_28 ),
inference(resolution,[],[f191,f40]) ).
fof(f333,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(additive_inverse(X1)),X1)
| sum(X0,additive_identity,additive_identity) )
| ~ spl0_4
| ~ spl0_43 ),
inference(resolution,[],[f319,f36]) ).
fof(f492,plain,
( spl0_59
| ~ spl0_2
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f281,f266,f27,f490]) ).
fof(f281,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1) )
| ~ spl0_2
| ~ spl0_37 ),
inference(resolution,[],[f267,f28]) ).
fof(f466,plain,
( spl0_58
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f257,f231,f87,f464]) ).
fof(f257,plain,
( ! [X0,X1] : add(X0,X1) = add(X1,X0)
| ~ spl0_13
| ~ spl0_33 ),
inference(resolution,[],[f232,f88]) ).
fof(f444,plain,
( spl0_57
| ~ spl0_13
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f213,f182,f87,f442]) ).
fof(f213,plain,
( ! [X0] : additive_identity = add(X0,additive_inverse(X0))
| ~ spl0_13
| ~ spl0_26 ),
inference(resolution,[],[f183,f88]) ).
fof(f440,plain,
( spl0_56
| ~ spl0_7
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f212,f182,f47,f438]) ).
fof(f438,plain,
( spl0_56
<=> ! [X0] : additive_identity = add(additive_inverse(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f212,plain,
( ! [X0] : additive_identity = add(additive_inverse(X0),X0)
| ~ spl0_7
| ~ spl0_26 ),
inference(resolution,[],[f183,f48]) ).
fof(f406,plain,
( spl0_55
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f148,f142,f43,f404]) ).
fof(f148,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X2,multiply(X3,X1),X4)
| ~ sum(X0,X3,X5)
| product(X5,X1,X4) )
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[],[f143,f44]) ).
fof(f402,plain,
( spl0_54
| ~ spl0_6
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f147,f138,f43,f400]) ).
fof(f147,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| sum(X2,X4,multiply(X5,X1)) )
| ~ spl0_6
| ~ spl0_20 ),
inference(resolution,[],[f139,f44]) ).
fof(f398,plain,
( spl0_53
| ~ spl0_5
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f219,f190,f39,f396]) ).
fof(f394,plain,
( spl0_52
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f146,f134,f43,f392]) ).
fof(f146,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ sum(X2,multiply(X0,X3),X4)
| ~ sum(X1,X3,X5)
| product(X0,X5,X4) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f135,f44]) ).
fof(f390,plain,
( spl0_51
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f145,f124,f43,f388]) ).
fof(f145,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| sum(X2,X4,multiply(X0,X5)) )
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f125,f44]) ).
fof(f373,plain,
( spl0_50
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f122,f108,f43,f371]) ).
fof(f122,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X2),X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) )
| ~ spl0_6
| ~ spl0_17 ),
inference(resolution,[],[f109,f44]) ).
fof(f369,plain,
( spl0_49
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f121,f104,f43,f367]) ).
fof(f121,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X0,X4,multiply(X2,X3)) )
| ~ spl0_6
| ~ spl0_16 ),
inference(resolution,[],[f105,f44]) ).
fof(f365,plain,
( spl0_48
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f120,f100,f47,f363]) ).
fof(f120,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X1,X4)
| sum(X4,X2,X3) )
| ~ spl0_7
| ~ spl0_15 ),
inference(resolution,[],[f101,f48]) ).
fof(f361,plain,
( spl0_47
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f115,f96,f47,f359]) ).
fof(f115,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,add(X2,X3)) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f97,f48]) ).
fof(f357,plain,
( spl0_46
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f169,f150,f87,f355]) ).
fof(f169,plain,
( ! [X0] : add(X0,additive_identity) = X0
| ~ spl0_13
| ~ spl0_22 ),
inference(resolution,[],[f151,f88]) ).
fof(f328,plain,
( spl0_45
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f119,f100,f39,f326]) ).
fof(f119,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),X1) )
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f101,f40]) ).
fof(f324,plain,
( spl0_44
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f118,f100,f35,f322]) ).
fof(f118,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_inverse(X2),X3)
| sum(X3,X2,X1) )
| ~ spl0_4
| ~ spl0_15 ),
inference(resolution,[],[f101,f36]) ).
fof(f320,plain,
( spl0_43
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f114,f96,f39,f318]) ).
fof(f114,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,additive_inverse(X2),X3)
| sum(X0,X3,additive_identity) )
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f97,f40]) ).
fof(f316,plain,
( spl0_42
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f113,f96,f35,f314]) ).
fof(f113,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| ~ sum(X1,X2,X3)
| sum(X0,X3,additive_identity) )
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[],[f97,f36]) ).
fof(f298,plain,
( spl0_41
| ~ spl0_7
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f168,f150,f47,f296]) ).
fof(f168,plain,
( ! [X0] : add(additive_identity,X0) = X0
| ~ spl0_7
| ~ spl0_22 ),
inference(resolution,[],[f151,f48]) ).
fof(f280,plain,
( spl0_40
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f117,f100,f31,f278]) ).
fof(f117,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,additive_identity,X2) )
| ~ spl0_3
| ~ spl0_15 ),
inference(resolution,[],[f101,f32]) ).
fof(f276,plain,
( spl0_39
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f116,f100,f27,f274]) ).
fof(f116,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,additive_identity,X3)
| sum(X3,X1,X2) )
| ~ spl0_2
| ~ spl0_15 ),
inference(resolution,[],[f101,f28]) ).
fof(f272,plain,
( spl0_38
| ~ spl0_3
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f112,f96,f31,f270]) ).
fof(f112,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,additive_identity,X3)
| sum(X0,X3,X2) )
| ~ spl0_3
| ~ spl0_14 ),
inference(resolution,[],[f97,f32]) ).
fof(f268,plain,
( spl0_37
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f111,f96,f27,f266]) ).
fof(f111,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| sum(X0,X3,X2) )
| ~ spl0_2
| ~ spl0_14 ),
inference(resolution,[],[f97,f28]) ).
fof(f245,plain,
( spl0_36
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f94,f72,f47,f243]) ).
fof(f94,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ sum(X0,X2,add(X1,X2)) )
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f73,f48]) ).
fof(f241,plain,
( spl0_35
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f85,f68,f47,f239]) ).
fof(f85,plain,
( ! [X2,X0,X1] :
( X0 = X1
| ~ sum(X2,X0,add(X2,X1)) )
| ~ spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f69,f48]) ).
fof(f237,plain,
( spl0_34
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f80,f64,f43,f235]) ).
fof(f80,plain,
( ! [X2,X0,X1] :
( multiply(X1,X2) = X0
| ~ product(X1,X2,X0) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f65,f44]) ).
fof(f233,plain,
( spl0_33
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f79,f60,f47,f231]) ).
fof(f79,plain,
( ! [X2,X0,X1] :
( add(X1,X2) = X0
| ~ sum(X1,X2,X0) )
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f61,f48]) ).
fof(f209,plain,
( spl0_32
| ~ spl0_5
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f167,f150,f39,f206]) ).
fof(f167,plain,
( additive_identity = additive_inverse(additive_identity)
| ~ spl0_5
| ~ spl0_22 ),
inference(resolution,[],[f151,f40]) ).
fof(f204,plain,
( spl0_31
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f93,f72,f39,f202]) ).
fof(f93,plain,
( ! [X0,X1] :
( X0 = X1
| ~ sum(X0,additive_inverse(X1),additive_identity) )
| ~ spl0_5
| ~ spl0_12 ),
inference(resolution,[],[f73,f40]) ).
fof(f200,plain,
( spl0_30
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f92,f72,f35,f198]) ).
fof(f92,plain,
( ! [X0,X1] :
( additive_inverse(X1) = X0
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f73,f36]) ).
fof(f196,plain,
( spl0_29
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f84,f68,f39,f194]) ).
fof(f84,plain,
( ! [X0,X1] :
( additive_inverse(X1) = X0
| ~ sum(X1,X0,additive_identity) )
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f69,f40]) ).
fof(f192,plain,
( spl0_28
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f83,f68,f35,f190]) ).
fof(f83,plain,
( ! [X0,X1] :
( X0 = X1
| ~ sum(additive_inverse(X1),X0,additive_identity) )
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f69,f36]) ).
fof(f188,plain,
( spl0_27
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f78,f60,f39,f186]) ).
fof(f78,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_inverse(X1),X0) )
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f61,f40]) ).
fof(f184,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f77,f60,f35,f182]) ).
fof(f77,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_inverse(X1),X1,X0) )
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f61,f36]) ).
fof(f164,plain,
( spl0_25
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f90,f72,f27,f162]) ).
fof(f90,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X0,X1,X1) )
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f73,f28]) ).
fof(f160,plain,
( spl0_24
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f82,f68,f31,f158]) ).
fof(f82,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,X0,X1) )
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f69,f32]) ).
fof(f156,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f76,f60,f31,f154]) ).
fof(f76,plain,
( ! [X0,X1] :
( X0 = X1
| ~ sum(X1,additive_identity,X0) )
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f61,f32]) ).
fof(f152,plain,
( spl0_22
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f75,f60,f27,f150]) ).
fof(f75,plain,
( ! [X0,X1] :
( X0 = X1
| ~ sum(additive_identity,X1,X0) )
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f61,f28]) ).
fof(f144,plain,
spl0_21,
inference(avatar_split_clause,[],[f15,f142]) ).
fof(f15,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X1,X0,X6)
| ~ product(X3,X0,X7)
| ~ sum(X6,X7,X9)
| ~ sum(X1,X3,X8)
| product(X8,X0,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f140,plain,
spl0_20,
inference(avatar_split_clause,[],[f14,f138]) ).
fof(f14,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X1,X0,X6)
| ~ product(X8,X0,X9)
| ~ product(X3,X0,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f136,plain,
spl0_19,
inference(avatar_split_clause,[],[f13,f134]) ).
fof(f13,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X1,X6)
| ~ product(X0,X3,X7)
| ~ sum(X6,X7,X9)
| ~ sum(X1,X3,X8)
| product(X0,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f126,plain,
spl0_18,
inference(avatar_split_clause,[],[f12,f124]) ).
fof(f12,axiom,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ product(X0,X1,X6)
| ~ product(X0,X8,X9)
| ~ product(X0,X3,X7)
| ~ sum(X1,X3,X8)
| sum(X6,X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f110,plain,
spl0_17,
inference(avatar_split_clause,[],[f11,f108]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X0,X4,X5)
| ~ product(X1,X3,X4)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiplication2) ).
fof(f106,plain,
spl0_16,
inference(avatar_split_clause,[],[f10,f104]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiplication1) ).
fof(f102,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f100]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X4,X5)
| ~ sum(X1,X3,X4)
| sum(X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f98,plain,
spl0_14,
inference(avatar_split_clause,[],[f7,f96]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f89,plain,
( spl0_13
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f58,f51,f47,f87]) ).
fof(f58,plain,
( ! [X0,X1] : sum(X0,X1,add(X1,X0))
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f52,f48]) ).
fof(f74,plain,
spl0_12,
inference(avatar_split_clause,[],[f19,f72]) ).
fof(f19,axiom,
! [X3,X0,X1,X5] :
( X0 = X5
| ~ sum(X5,X1,X3)
| ~ sum(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation2) ).
fof(f70,plain,
spl0_11,
inference(avatar_split_clause,[],[f18,f68]) ).
fof(f18,axiom,
! [X3,X0,X1,X5] :
( X1 = X5
| ~ sum(X0,X5,X3)
| ~ sum(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation1) ).
fof(f66,plain,
spl0_10,
inference(avatar_split_clause,[],[f17,f64]) ).
fof(f17,axiom,
! [X2,X0,X1,X4] :
( X2 = X4
| ~ product(X0,X1,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f62,plain,
spl0_9,
inference(avatar_split_clause,[],[f16,f60]) ).
fof(f16,axiom,
! [X2,X0,X1,X4] :
( X2 = X4
| ~ sum(X0,X1,X4)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f53,plain,
spl0_8,
inference(avatar_split_clause,[],[f9,f51]) ).
fof(f9,axiom,
! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f49,plain,
spl0_7,
inference(avatar_split_clause,[],[f4,f47]) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f45,plain,
spl0_6,
inference(avatar_split_clause,[],[f3,f43]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f41,plain,
spl0_5,
inference(avatar_split_clause,[],[f6,f39]) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f37,plain,
spl0_4,
inference(avatar_split_clause,[],[f5,f35]) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f33,plain,
spl0_3,
inference(avatar_split_clause,[],[f2,f31]) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f29,plain,
spl0_2,
inference(avatar_split_clause,[],[f1,f27]) ).
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f25,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f20,f22]) ).
fof(f20,axiom,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_times_additive_id_is_additive_id) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG001-4 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n029.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 18:22:53 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (27320)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (27323)WARNING: value z3 for option sas not known
% 0.16/0.39 % (27327)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)
% 0.16/0.39 % (27322)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (27323)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)
% 0.16/0.40 % (27326)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)
% 0.16/0.40 % (27324)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.41 TRYING [3]
% 0.16/0.41 % (27325)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)
% 0.16/0.41 % (27321)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.42 TRYING [1]
% 0.23/0.42 TRYING [2]
% 0.23/0.43 TRYING [4]
% 0.23/0.43 TRYING [3]
% 0.23/0.47 TRYING [5]
% 0.23/0.47 TRYING [4]
% 0.23/0.57 TRYING [5]
% 1.45/0.59 TRYING [6]
% 2.78/0.85 TRYING [6]
% 3.44/0.89 TRYING [7]
% 6.71/1.38 TRYING [8]
% 7.73/1.48 TRYING [1]
% 7.73/1.48 TRYING [2]
% 7.73/1.48 TRYING [3]
% 7.73/1.49 TRYING [4]
% 7.99/1.51 TRYING [5]
% 7.99/1.52 TRYING [7]
% 8.16/1.60 TRYING [6]
% 10.16/1.82 TRYING [7]
% 13.59/2.35 TRYING [8]
% 17.69/2.94 TRYING [9]
% 18.64/3.05 TRYING [8]
% 29.42/4.65 TRYING [9]
% 34.33/5.26 % (27325)First to succeed.
% 34.41/5.28 % (27325)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27320"
% 34.41/5.29 % (27325)Refutation found. Thanks to Tanya!
% 34.41/5.29 % SZS status Unsatisfiable for theBenchmark
% 34.41/5.29 % SZS output start Proof for theBenchmark
% See solution above
% 34.41/5.30 % (27325)------------------------------
% 34.41/5.30 % (27325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 34.41/5.30 % (27325)Termination reason: Refutation
% 34.41/5.30
% 34.41/5.30 % (27325)Memory used [KB]: 20063
% 34.41/5.30 % (27325)Time elapsed: 4.881 s
% 34.41/5.30 % (27325)Instructions burned: 15839 (million)
% 34.41/5.30 % (27320)Success in time 4.925 s
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