TSTP Solution File: RNG001-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG001-1 : 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 : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:49:39 EDT 2024
% Result : Unsatisfiable 42.47s 6.43s
% Output : Refutation 42.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 635
% Syntax : Number of formulae : 2078 ( 26 unt; 0 def)
% Number of atoms : 7687 ( 323 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 10602 (4993 ~;4992 |; 0 &)
% ( 617 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 621 ( 619 usr; 618 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 5384 (5384 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38053,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f27,f31,f35,f39,f43,f47,f51,f60,f64,f74,f78,f82,f86,f90,f106,f110,f114,f118,f130,f134,f148,f152,f161,f169,f173,f184,f188,f192,f196,f232,f236,f240,f244,f263,f275,f279,f283,f287,f304,f308,f312,f316,f320,f340,f344,f360,f382,f386,f397,f401,f405,f409,f413,f417,f421,f425,f429,f433,f467,f601,f605,f609,f640,f644,f649,f654,f658,f788,f825,f829,f833,f837,f841,f845,f849,f1084,f1088,f1092,f1096,f1100,f1104,f1108,f1278,f1282,f1286,f1302,f1364,f1368,f1372,f1376,f1380,f1384,f1388,f1392,f1396,f1415,f1422,f1426,f1430,f1434,f1438,f1580,f1584,f1588,f1592,f1596,f1600,f1604,f1609,f1613,f1617,f1621,f1625,f1629,f1840,f2001,f2005,f2009,f2013,f2017,f2021,f2025,f2030,f2035,f2039,f2043,f2047,f2051,f2055,f2059,f2063,f2067,f2071,f2075,f2079,f2083,f2087,f2091,f2095,f2099,f2103,f2107,f2111,f2115,f2119,f2123,f2127,f2131,f2135,f2139,f3480,f3484,f3488,f3492,f3496,f3500,f3504,f3508,f3512,f3516,f3520,f3524,f3528,f3568,f3572,f3576,f3580,f3584,f3588,f3592,f3596,f3600,f3604,f3658,f3662,f3666,f3670,f3674,f3886,f4360,f4952,f5062,f5066,f5070,f5074,f5078,f5082,f5086,f5090,f5094,f5098,f5102,f5106,f5110,f5114,f5118,f5122,f5126,f5130,f5134,f5139,f5143,f5148,f5152,f5156,f5160,f5164,f5168,f5172,f5176,f5180,f5184,f5188,f5192,f5196,f5200,f5204,f5208,f5212,f5375,f5900,f6726,f7486,f7490,f7494,f7498,f7502,f7506,f7510,f7514,f7518,f7522,f7526,f7530,f7534,f7538,f7542,f7546,f7550,f7554,f7558,f7562,f7566,f7570,f7574,f7578,f7582,f7586,f7590,f7594,f7598,f7602,f7606,f7610,f7614,f7618,f7622,f7626,f7630,f7634,f7638,f7642,f7646,f7650,f7796,f8282,f10297,f11138,f11142,f11146,f11151,f11156,f11160,f11164,f11168,f11172,f11176,f11180,f11184,f11188,f11192,f11196,f11286,f11290,f11294,f11298,f11302,f11306,f11310,f11314,f11318,f11322,f11415,f11419,f11423,f11427,f11432,f11437,f11441,f11445,f11449,f11453,f11457,f11461,f11465,f11469,f11473,f11477,f11481,f11485,f11489,f11606,f12225,f12997,f13227,f13231,f14395,f14399,f14403,f14407,f14411,f14415,f14419,f14423,f14427,f14431,f14599,f14603,f14607,f14611,f14615,f14619,f14623,f14627,f14631,f14635,f14749,f14753,f14757,f14761,f14765,f14769,f14774,f14778,f14783,f14787,f14791,f14795,f14799,f14804,f14809,f14813,f14817,f14821,f14825,f14829,f14833,f14837,f17428,f17509,f18104,f18108,f19447,f19451,f19455,f19459,f19463,f19467,f19627,f19631,f19635,f19639,f19643,f19647,f19651,f19655,f19659,f19663,f19703,f19708,f19713,f19717,f19721,f19726,f19731,f19735,f21021,f21337,f21341,f21579,f21583,f22180,f22184,f22188,f22192,f22219,f22223,f22227,f22231,f22235,f22239,f22243,f22247,f22251,f22255,f22311,f22315,f22319,f22324,f22329,f22333,f22337,f22341,f22345,f22350,f24163,f24167,f24782,f24786,f25334,f25338,f25532,f25536,f25540,f25544,f25548,f25552,f25556,f25560,f25564,f25568,f25765,f25769,f25773,f25777,f25781,f25786,f25792,f25796,f25800,f25804,f25808,f25812,f25818,f25822,f25827,f25832,f27636,f27640,f27861,f28048,f28052,f28056,f28060,f29023,f29027,f29031,f29035,f29039,f29043,f29047,f29051,f29055,f29059,f29063,f29067,f29071,f29136,f29140,f30274,f30278,f30282,f30286,f30290,f30294,f30298,f30302,f30306,f30310,f30314,f30318,f30323,f30328,f30332,f30364,f30368,f30372,f30376,f30380,f30384,f30388,f30392,f30396,f30400,f30404,f30408,f30898,f31006,f31010,f31217,f31616,f31620,f31624,f31628,f31632,f31684,f31688,f31692,f31697,f31702,f31706,f31710,f31714,f31718,f31722,f31726,f31748,f31752,f31756,f31888,f31892,f31896,f31900,f31904,f31908,f31912,f31916,f32072,f32135,f32139,f32161,f32165,f32169,f32173,f32412,f32416,f32420,f32424,f32428,f32432,f32437,f32441,f32445,f32449,f32799,f32803,f32807,f32811,f32815,f32819,f32823,f32827,f32831,f32835,f33088,f33092,f33096,f33100,f33104,f33108,f33112,f33116,f33120,f33124,f34978,f37449,f37647,f37652,f37657,f37661,f37665,f37669,f37673,f37677,f37681,f37685,f37689,f37693,f37697,f37701,f37705,f37709,f37713,f37717,f37721,f37725,f37729,f37733,f37737,f37741,f37745,f37749,f37753,f37757,f37761,f37873,f37877,f37881,f37885,f37889,f37893,f37897,f37901,f37905,f37909,f37913,f37917,f37921,f37925,f37929,f37933,f37937,f37941,f37945,f37949,f37954,f38001]) ).
fof(f38001,plain,
( spl0_1
| ~ spl0_607 ),
inference(avatar_contradiction_clause,[],[f37956]) ).
fof(f37956,plain,
( $false
| spl0_1
| ~ spl0_607 ),
inference(resolution,[],[f37912,f22]) ).
fof(f22,plain,
( ~ product(a,additive_identity,additive_identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl0_1
<=> product(a,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f37912,plain,
( ! [X0] : product(X0,additive_identity,additive_identity)
| ~ spl0_607 ),
inference(avatar_component_clause,[],[f37911]) ).
fof(f37911,plain,
( spl0_607
<=> ! [X0] : product(X0,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f37954,plain,
( spl0_617
| ~ spl0_7
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f6045,f5120,f45,f37952]) ).
fof(f37952,plain,
( spl0_617
<=> ! [X0,X1] : additive_identity = add(add(X0,additive_inverse(add(X1,X0))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f45,plain,
( spl0_7
<=> ! [X0,X1] : sum(X0,X1,add(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f5120,plain,
( spl0_198
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(X1,additive_inverse(X2)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f6045,plain,
( ! [X0,X1] : additive_identity = add(add(X0,additive_inverse(add(X1,X0))),X1)
| ~ spl0_7
| ~ spl0_198 ),
inference(resolution,[],[f5121,f46]) ).
fof(f46,plain,
( ! [X0,X1] : sum(X0,X1,add(X0,X1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f5121,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(X1,additive_inverse(X2)),X0) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f5120]) ).
fof(f37949,plain,
( spl0_616
| ~ spl0_7
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f5933,f5116,f45,f37947]) ).
fof(f37947,plain,
( spl0_616
<=> ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f5116,plain,
( spl0_197
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(X1,additive_inverse(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f5933,plain,
( ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1))))
| ~ spl0_7
| ~ spl0_197 ),
inference(resolution,[],[f5117,f46]) ).
fof(f5117,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(X1,additive_inverse(X2))) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f5116]) ).
fof(f37945,plain,
( spl0_615
| ~ spl0_14
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f5769,f5104,f84,f37943]) ).
fof(f37943,plain,
( spl0_615
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X2,X0),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f84,plain,
( spl0_14
<=> ! [X0,X1] : sum(X0,X1,add(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f5104,plain,
( spl0_194
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f5769,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X2,X0),X1,X2) )
| ~ spl0_14
| ~ spl0_194 ),
inference(resolution,[],[f5105,f85]) ).
fof(f85,plain,
( ! [X0,X1] : sum(X0,X1,add(X1,X0))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f5105,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X3,X1,X2) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f5104]) ).
fof(f37941,plain,
( spl0_614
| ~ spl0_7
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f5768,f5104,f45,f37939]) ).
fof(f37939,plain,
( spl0_614
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X0,X2),X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f5768,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X0,X2),X1,X2) )
| ~ spl0_7
| ~ spl0_194 ),
inference(resolution,[],[f5105,f46]) ).
fof(f37937,plain,
( spl0_613
| ~ spl0_14
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f5621,f5088,f84,f37935]) ).
fof(f37935,plain,
( spl0_613
<=> ! [X2,X0,X1] :
( ~ sum(X0,add(X1,X2),X1)
| sum(X2,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f5088,plain,
( spl0_190
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X1)
| sum(X3,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f5621,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,add(X1,X2),X1)
| sum(X2,X0,additive_identity) )
| ~ spl0_14
| ~ spl0_190 ),
inference(resolution,[],[f5089,f85]) ).
fof(f5089,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X3,X2,X1)
| ~ sum(X0,X1,X2)
| sum(X3,X0,additive_identity) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f5088]) ).
fof(f37933,plain,
( spl0_612
| ~ spl0_7
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f5620,f5088,f45,f37931]) ).
fof(f37931,plain,
( spl0_612
<=> ! [X2,X0,X1] :
( ~ sum(X0,add(X1,X2),X2)
| sum(X1,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f5620,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,add(X1,X2),X2)
| sum(X1,X0,additive_identity) )
| ~ spl0_7
| ~ spl0_190 ),
inference(resolution,[],[f5089,f46]) ).
fof(f37929,plain,
( spl0_611
| ~ spl0_14
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f5411,f5072,f84,f37927]) ).
fof(f37927,plain,
( spl0_611
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,X1))
| sum(X1,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f5072,plain,
( spl0_186
<=> ! [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_186])]) ).
fof(f5411,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,X1))
| sum(X1,additive_identity,additive_identity) )
| ~ spl0_14
| ~ spl0_186 ),
inference(resolution,[],[f5073,f85]) ).
fof(f5073,plain,
( ! [X2,X0,X1] :
( ~ sum(X2,X0,X1)
| ~ sum(X0,additive_identity,X1)
| sum(X2,additive_identity,additive_identity) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f5072]) ).
fof(f37925,plain,
( spl0_610
| ~ spl0_7
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f5410,f5072,f45,f37923]) ).
fof(f37923,plain,
( spl0_610
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X0))
| sum(X1,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f5410,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X1,X0))
| sum(X1,additive_identity,additive_identity) )
| ~ spl0_7
| ~ spl0_186 ),
inference(resolution,[],[f5073,f46]) ).
fof(f37921,plain,
( spl0_609
| ~ spl0_105
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f4959,f3668,f1586,f37919]) ).
fof(f37919,plain,
( spl0_609
<=> ! [X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(X1,additive_identity,add(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f1586,plain,
( spl0_105
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_inverse(X1),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f3668,plain,
( spl0_178
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X1,X0)),X0,X2)
| sum(X2,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f4959,plain,
( ! [X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(X1,additive_identity,add(X0,X1)) )
| ~ spl0_105
| ~ spl0_178 ),
inference(resolution,[],[f3669,f1587]) ).
fof(f1587,plain,
( ! [X0,X1] :
( sum(additive_inverse(X1),X0,additive_identity)
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f3669,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X1,X0)),X0,X2)
| sum(X2,X1,additive_identity) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f3668]) ).
fof(f37917,plain,
( spl0_608
| ~ spl0_107
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f4956,f3668,f1594,f37915]) ).
fof(f37915,plain,
( spl0_608
<=> ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(X0,add(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f1594,plain,
( spl0_107
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_inverse(X1),X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f4956,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(X0,add(X1,X2),X2) )
| ~ spl0_107
| ~ spl0_178 ),
inference(resolution,[],[f3669,f1595]) ).
fof(f1595,plain,
( ! [X2,X0,X1] :
( sum(additive_inverse(X1),X2,X0)
| ~ sum(X0,X1,X2) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f37913,plain,
( spl0_607
| ~ spl0_6
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f37762,f37675,f41,f37911]) ).
fof(f41,plain,
( spl0_6
<=> ! [X0,X1] : product(X0,X1,multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f37675,plain,
( spl0_575
<=> ! [X0] : additive_identity = multiply(X0,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f37762,plain,
( ! [X0] : product(X0,additive_identity,additive_identity)
| ~ spl0_6
| ~ spl0_575 ),
inference(superposition,[],[f42,f37676]) ).
fof(f37676,plain,
( ! [X0] : additive_identity = multiply(X0,additive_identity)
| ~ spl0_575 ),
inference(avatar_component_clause,[],[f37675]) ).
fof(f42,plain,
( ! [X0,X1] : product(X0,X1,multiply(X0,X1))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f37909,plain,
( spl0_606
| ~ spl0_104
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f4954,f3668,f1582,f37907]) ).
fof(f37907,plain,
( spl0_606
<=> ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_identity,add(X1,X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f1582,plain,
( spl0_104
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(additive_inverse(X0),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f4954,plain,
( ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_identity,add(X1,X0),additive_identity) )
| ~ spl0_104
| ~ spl0_178 ),
inference(resolution,[],[f3669,f1583]) ).
fof(f1583,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X1,X1)
| ~ sum(additive_identity,X0,additive_identity) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f37905,plain,
( spl0_605
| ~ spl0_21
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f4766,f3656,f132,f37903]) ).
fof(f37903,plain,
( spl0_605
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X1,X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f132,plain,
( spl0_21
<=> ! [X0,X1] :
( X0 = X1
| ~ sum(X1,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3656,plain,
( spl0_175
<=> ! [X2,X0,X1] :
( sum(X2,additive_identity,add(X1,X0))
| ~ sum(X2,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f4766,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X1,X2) = X0 )
| ~ spl0_21
| ~ spl0_175 ),
inference(resolution,[],[f3657,f133]) ).
fof(f133,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_identity,X0)
| X0 = X1 )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f3657,plain,
( ! [X2,X0,X1] :
( sum(X2,additive_identity,add(X1,X0))
| ~ sum(X2,additive_inverse(X1),X0) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f3656]) ).
fof(f37901,plain,
( spl0_604
| ~ spl0_107
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3893,f3502,f1594,f37899]) ).
fof(f37899,plain,
( spl0_604
<=> ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(additive_identity,add(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f3502,plain,
( spl0_158
<=> ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f3893,plain,
( ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(additive_identity,add(X0,X1),X1) )
| ~ spl0_107
| ~ spl0_158 ),
inference(resolution,[],[f3503,f1595]) ).
fof(f3503,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f3502]) ).
fof(f37897,plain,
( spl0_603
| ~ spl0_105
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f3887,f3502,f1586,f37895]) ).
fof(f37895,plain,
( spl0_603
<=> ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_identity,add(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f3887,plain,
( ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_identity,add(X0,X1)) )
| ~ spl0_105
| ~ spl0_158 ),
inference(resolution,[],[f3503,f1587]) ).
fof(f37893,plain,
( spl0_602
| ~ spl0_107
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f3775,f3490,f1594,f37891]) ).
fof(f37891,plain,
( spl0_602
<=> ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(additive_identity,add(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f3490,plain,
( spl0_155
<=> ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f3775,plain,
( ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(additive_identity,add(X1,X0),X1) )
| ~ spl0_107
| ~ spl0_155 ),
inference(resolution,[],[f3491,f1595]) ).
fof(f3491,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f3490]) ).
fof(f37889,plain,
( spl0_601
| ~ spl0_105
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f3769,f3490,f1586,f37887]) ).
fof(f37887,plain,
( spl0_601
<=> ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_identity,add(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f3769,plain,
( ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_identity,add(X1,X0)) )
| ~ spl0_105
| ~ spl0_155 ),
inference(resolution,[],[f3491,f1587]) ).
fof(f37885,plain,
( spl0_600
| ~ spl0_8
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f3432,f2137,f49,f37883]) ).
fof(f37883,plain,
( spl0_600
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,X2,add(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f49,plain,
( spl0_8
<=> ! [X0,X1,X3] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2137,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X0,X2))
| ~ sum(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f3432,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,X2,add(X1,X0)) )
| ~ spl0_8
| ~ spl0_151 ),
inference(resolution,[],[f2138,f50]) ).
fof(f50,plain,
( ! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f2138,plain,
( ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X0,X2))
| ~ sum(X2,X0,X1) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f37881,plain,
( spl0_599
| ~ spl0_22
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f3406,f2133,f146,f37879]) ).
fof(f37879,plain,
( spl0_599
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| additive_identity = add(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f146,plain,
( spl0_22
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_inverse(X1),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f2133,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( sum(X1,X0,add(X0,X2))
| ~ sum(X2,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f3406,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| additive_identity = add(X1,X0) )
| ~ spl0_22
| ~ spl0_150 ),
inference(resolution,[],[f2134,f147]) ).
fof(f147,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X1),X1,X0)
| additive_identity = X0 )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f2134,plain,
( ! [X2,X0,X1] :
( sum(X1,X0,add(X0,X2))
| ~ sum(X2,additive_identity,X1) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f37877,plain,
( spl0_598
| ~ spl0_8
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f3367,f2133,f49,f37875]) ).
fof(f37875,plain,
( spl0_598
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,X1,add(X2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f3367,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,X1,add(X2,X0)) )
| ~ spl0_8
| ~ spl0_150 ),
inference(resolution,[],[f2134,f50]) ).
fof(f37873,plain,
( spl0_597
| ~ spl0_8
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f3321,f2129,f49,f37871]) ).
fof(f37871,plain,
( spl0_597
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,X2,add(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f2129,plain,
( spl0_149
<=> ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X2,X0))
| ~ sum(X2,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f3321,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,X2,add(X0,X1)) )
| ~ spl0_8
| ~ spl0_149 ),
inference(resolution,[],[f2130,f50]) ).
fof(f2130,plain,
( ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X2,X0))
| ~ sum(X2,X0,X1) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f2129]) ).
fof(f37761,plain,
( spl0_596
| ~ spl0_22
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f3297,f2125,f146,f37759]) ).
fof(f37759,plain,
( spl0_596
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| additive_identity = add(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f2125,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( sum(X1,X0,add(X2,X0))
| ~ sum(X2,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f3297,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_inverse(X1))
| additive_identity = add(X0,X1) )
| ~ spl0_22
| ~ spl0_148 ),
inference(resolution,[],[f2126,f147]) ).
fof(f2126,plain,
( ! [X2,X0,X1] :
( sum(X1,X0,add(X2,X0))
| ~ sum(X2,additive_identity,X1) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f2125]) ).
fof(f37757,plain,
( spl0_595
| ~ spl0_8
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f3258,f2125,f49,f37755]) ).
fof(f37755,plain,
( spl0_595
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,X1,add(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f3258,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,X1,add(X0,X2)) )
| ~ spl0_8
| ~ spl0_148 ),
inference(resolution,[],[f2126,f50]) ).
fof(f37753,plain,
( spl0_594
| ~ spl0_8
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f3152,f2113,f49,f37751]) ).
fof(f37751,plain,
( spl0_594
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(additive_identity,add(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f2113,plain,
( spl0_145
<=> ! [X0,X1] :
( sum(add(X1,X0),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f3152,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(additive_identity,add(X1,X0),X1) )
| ~ spl0_8
| ~ spl0_145 ),
inference(resolution,[],[f2114,f50]) ).
fof(f2114,plain,
( ! [X0,X1] :
( sum(add(X1,X0),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f2113]) ).
fof(f37749,plain,
( spl0_593
| ~ spl0_8
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f3108,f2109,f49,f37747]) ).
fof(f37747,plain,
( spl0_593
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(additive_identity,add(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f2109,plain,
( spl0_144
<=> ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f3108,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(additive_identity,add(X0,X1),X1) )
| ~ spl0_8
| ~ spl0_144 ),
inference(resolution,[],[f2110,f50]) ).
fof(f2110,plain,
( ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f2109]) ).
fof(f37745,plain,
( spl0_592
| ~ spl0_22
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f2996,f2097,f146,f37743]) ).
fof(f37743,plain,
( spl0_592
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_identity = add(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f2097,plain,
( spl0_141
<=> ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(additive_identity,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f2996,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_identity = add(X1,X0) )
| ~ spl0_22
| ~ spl0_141 ),
inference(resolution,[],[f2098,f147]) ).
fof(f2098,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(additive_identity,X0,X2) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f37741,plain,
( spl0_591
| ~ spl0_47
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2895,f2085,f358,f37739]) ).
fof(f37739,plain,
( spl0_591
<=> ! [X2,X0,X1] :
( sum(X1,X2,add(X1,X0))
| ~ sum(additive_identity,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f358,plain,
( spl0_47
<=> ! [X0,X1] : add(X0,X1) = add(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f2085,plain,
( spl0_138
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X2,X1,add(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f2895,plain,
( ! [X2,X0,X1] :
( sum(X1,X2,add(X1,X0))
| ~ sum(additive_identity,X0,X2) )
| ~ spl0_47
| ~ spl0_138 ),
inference(superposition,[],[f2086,f359]) ).
fof(f359,plain,
( ! [X0,X1] : add(X0,X1) = add(X1,X0)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f2086,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X0,X2))
| ~ sum(additive_identity,X0,X1) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f2085]) ).
fof(f37737,plain,
( spl0_590
| ~ spl0_49
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2851,f2085,f384,f37735]) ).
fof(f37735,plain,
( spl0_590
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,add(X0,X1))
| sum(X1,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f384,plain,
( spl0_49
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2851,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,add(X0,X1))
| sum(X1,additive_identity,additive_identity) )
| ~ spl0_49
| ~ spl0_138 ),
inference(resolution,[],[f2086,f385]) ).
fof(f385,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f37733,plain,
( spl0_589
| ~ spl0_22
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2822,f2081,f146,f37731]) ).
fof(f37731,plain,
( spl0_589
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| additive_identity = add(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f2081,plain,
( spl0_137
<=> ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(X2,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f2822,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| additive_identity = add(X0,X1) )
| ~ spl0_22
| ~ spl0_137 ),
inference(resolution,[],[f2082,f147]) ).
fof(f2082,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(X2,additive_identity,X0) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f2081]) ).
fof(f37729,plain,
( spl0_588
| ~ spl0_100
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2814,f2081,f1428,f37727]) ).
fof(f37727,plain,
( spl0_588
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(add(X1,X0),additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f1428,plain,
( spl0_100
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f2814,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(add(X1,X0),additive_identity,X1) )
| ~ spl0_100
| ~ spl0_137 ),
inference(resolution,[],[f2082,f1429]) ).
fof(f1429,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,additive_identity,X0) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f37725,plain,
( spl0_587
| ~ spl0_23
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f2811,f2081,f150,f37723]) ).
fof(f37723,plain,
( spl0_587
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(additive_inverse(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f150,plain,
( spl0_23
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f2811,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(additive_inverse(X0),X1) )
| ~ spl0_23
| ~ spl0_137 ),
inference(resolution,[],[f2082,f151]) ).
fof(f151,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_inverse(X1),X0)
| additive_identity = X0 )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f37721,plain,
( spl0_586
| ~ spl0_3
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f37526,f33118,f29,f37719]) ).
fof(f37719,plain,
( spl0_586
<=> ! [X0] : additive_identity = multiply(additive_identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f29,plain,
( spl0_3
<=> ! [X0] : sum(X0,additive_identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f33118,plain,
( spl0_564
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f37526,plain,
( ! [X0] : additive_identity = multiply(additive_identity,X0)
| ~ spl0_3
| ~ spl0_564 ),
inference(resolution,[],[f33119,f30]) ).
fof(f30,plain,
( ! [X0] : sum(X0,additive_identity,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f33119,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X0,X2) )
| ~ spl0_564 ),
inference(avatar_component_clause,[],[f33118]) ).
fof(f37717,plain,
( spl0_585
| ~ spl0_47
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2707,f2069,f358,f37715]) ).
fof(f37715,plain,
( spl0_585
<=> ! [X2,X0,X1] :
( sum(X1,X2,add(X1,X0))
| ~ sum(X2,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f2069,plain,
( spl0_134
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,X0,add(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f2707,plain,
( ! [X2,X0,X1] :
( sum(X1,X2,add(X1,X0))
| ~ sum(X2,additive_identity,X0) )
| ~ spl0_47
| ~ spl0_134 ),
inference(superposition,[],[f2070,f359]) ).
fof(f2070,plain,
( ! [X2,X0,X1] :
( sum(X2,X0,add(X1,X2))
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f37713,plain,
( spl0_584
| ~ spl0_99
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2663,f2069,f1424,f37711]) ).
fof(f37711,plain,
( spl0_584
<=> ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f1424,plain,
( spl0_99
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f2663,plain,
( ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_99
| ~ spl0_134 ),
inference(resolution,[],[f2070,f1425]) ).
fof(f1425,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f37709,plain,
( spl0_583
| ~ spl0_8
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f2564,f2057,f49,f37707]) ).
fof(f37707,plain,
( spl0_583
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X2,add(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f2057,plain,
( spl0_131
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X1,X0),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f2564,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X2,add(X1,X0),X2) )
| ~ spl0_8
| ~ spl0_131 ),
inference(resolution,[],[f2058,f50]) ).
fof(f2058,plain,
( ! [X2,X0,X1] :
( sum(add(X1,X0),X2,X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f2057]) ).
fof(f37705,plain,
( spl0_582
| ~ spl0_8
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2489,f2049,f49,f37703]) ).
fof(f37703,plain,
( spl0_582
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X2,add(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f2049,plain,
( spl0_129
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X0,X1),X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2489,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X2,add(X0,X1),X2) )
| ~ spl0_8
| ~ spl0_129 ),
inference(resolution,[],[f2050,f50]) ).
fof(f2050,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),X2,X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f2049]) ).
fof(f37701,plain,
( spl0_581
| ~ spl0_57
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1855,f1611,f423,f37699]) ).
fof(f37699,plain,
( spl0_581
<=> ! [X0,X1] :
( add(X0,additive_inverse(X1)) = X0
| ~ sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f423,plain,
( spl0_57
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,additive_inverse(X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1611,plain,
( spl0_111
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1855,plain,
( ! [X0,X1] :
( add(X0,additive_inverse(X1)) = X0
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_57
| ~ spl0_111 ),
inference(resolution,[],[f1612,f424]) ).
fof(f424,plain,
( ! [X0,X1] :
( sum(X0,additive_inverse(X1),additive_identity)
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f1612,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(X1,X0) = X1 )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f37697,plain,
( spl0_580
| ~ spl0_57
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1842,f1607,f423,f37695]) ).
fof(f37695,plain,
( spl0_580
<=> ! [X0,X1] :
( add(additive_inverse(X0),X1) = X1
| ~ sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f1607,plain,
( spl0_110
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1842,plain,
( ! [X0,X1] :
( add(additive_inverse(X0),X1) = X1
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_57
| ~ spl0_110 ),
inference(resolution,[],[f1608,f424]) ).
fof(f1608,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(X0,X1) = X1 )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f37693,plain,
( spl0_579
| ~ spl0_76
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1774,f1594,f847,f37691]) ).
fof(f37691,plain,
( spl0_579
<=> ! [X2,X0,X1] :
( ~ sum(X0,add(X1,X2),X1)
| sum(X0,X2,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f847,plain,
( spl0_76
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(X2,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f1774,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,add(X1,X2),X1)
| sum(X0,X2,additive_identity) )
| ~ spl0_76
| ~ spl0_107 ),
inference(resolution,[],[f1595,f848]) ).
fof(f848,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(X2,X1,additive_identity) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f37689,plain,
( spl0_578
| ~ spl0_51
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1735,f1586,f399,f37687]) ).
fof(f37687,plain,
( spl0_578
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_inverse(X1),additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f399,plain,
( spl0_51
<=> ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1735,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_inverse(X1),additive_identity,X0) )
| ~ spl0_51
| ~ spl0_105 ),
inference(resolution,[],[f1587,f400]) ).
fof(f400,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f37685,plain,
( spl0_577
| ~ spl0_76
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1710,f1586,f847,f37683]) ).
fof(f37683,plain,
( spl0_577
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,X1))
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f1710,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,add(X0,X1))
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_76
| ~ spl0_105 ),
inference(resolution,[],[f1587,f848]) ).
fof(f37681,plain,
( spl0_576
| ~ spl0_50
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1684,f1582,f395,f37679]) ).
fof(f37679,plain,
( spl0_576
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(X1,additive_inverse(X0)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f395,plain,
( spl0_50
<=> ! [X2,X0,X1] :
( add(X1,X2) = X0
| ~ sum(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1684,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(X1,additive_inverse(X0)) = X1 )
| ~ spl0_50
| ~ spl0_104 ),
inference(resolution,[],[f1583,f396]) ).
fof(f396,plain,
( ! [X2,X0,X1] :
( ~ sum(X2,X1,X0)
| add(X1,X2) = X0 )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f37677,plain,
( spl0_575
| ~ spl0_3
| ~ spl0_563 ),
inference(avatar_split_clause,[],[f37450,f33114,f29,f37675]) ).
fof(f33114,plain,
( spl0_563
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f37450,plain,
( ! [X0] : additive_identity = multiply(X0,additive_identity)
| ~ spl0_3
| ~ spl0_563 ),
inference(resolution,[],[f33115,f30]) ).
fof(f33115,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X2,X0) )
| ~ spl0_563 ),
inference(avatar_component_clause,[],[f33114]) ).
fof(f37673,plain,
( spl0_574
| ~ spl0_25
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1680,f1582,f167,f37671]) ).
fof(f37671,plain,
( spl0_574
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(additive_inverse(X0),X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f167,plain,
( spl0_25
<=> ! [X2,X0,X1] :
( add(X1,X2) = X0
| ~ sum(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f1680,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(additive_inverse(X0),X1) = X1 )
| ~ spl0_25
| ~ spl0_104 ),
inference(resolution,[],[f1583,f168]) ).
fof(f168,plain,
( ! [X2,X0,X1] :
( ~ sum(X1,X2,X0)
| add(X1,X2) = X0 )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f37669,plain,
( spl0_573
| ~ spl0_76
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1672,f1582,f847,f37667]) ).
fof(f37667,plain,
( spl0_573
<=> ! [X0,X1] :
( ~ sum(additive_identity,add(X0,X1),additive_identity)
| sum(X0,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f1672,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,add(X0,X1),additive_identity)
| sum(X0,X1,additive_identity) )
| ~ spl0_76
| ~ spl0_104 ),
inference(resolution,[],[f1583,f848]) ).
fof(f37665,plain,
( spl0_572
| ~ spl0_67
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f1522,f1428,f652,f37663]) ).
fof(f37663,plain,
( spl0_572
<=> ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f652,plain,
( spl0_67
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,X2,add(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f1522,plain,
( ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_67
| ~ spl0_100 ),
inference(resolution,[],[f1429,f653]) ).
fof(f653,plain,
( ! [X2,X0,X1] :
( sum(X0,X2,add(X1,X2))
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f37661,plain,
( spl0_571
| ~ spl0_41
| ~ spl0_80
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1494,f1420,f1094,f306,f37659]) ).
fof(f37659,plain,
( spl0_571
<=> ! [X0,X1] :
( additive_identity = additive_inverse(add(X0,X1))
| ~ sum(X1,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f306,plain,
( spl0_41
<=> ! [X0] : add(X0,additive_identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1094,plain,
( spl0_80
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(add(X1,X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1420,plain,
( spl0_98
<=> ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| additive_identity = additive_inverse(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1494,plain,
( ! [X0,X1] :
( additive_identity = additive_inverse(add(X0,X1))
| ~ sum(X1,X0,additive_identity) )
| ~ spl0_41
| ~ spl0_80
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1487,f307]) ).
fof(f307,plain,
( ! [X0] : add(X0,additive_identity) = X0
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f1487,plain,
( ! [X0,X1] :
( additive_identity = additive_inverse(add(add(X0,additive_identity),X1))
| ~ sum(X1,X0,additive_identity) )
| ~ spl0_80
| ~ spl0_98 ),
inference(resolution,[],[f1421,f1095]) ).
fof(f1095,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X3,add(add(X1,X3),X0))
| ~ sum(X0,X1,X2) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f1421,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| additive_identity = additive_inverse(X0) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f37657,plain,
( spl0_570
| ~ spl0_41
| ~ spl0_79
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f1493,f1420,f1090,f306,f37655]) ).
fof(f37655,plain,
( spl0_570
<=> ! [X0,X1] :
( additive_identity = additive_inverse(add(X0,X1))
| ~ sum(X0,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f1090,plain,
( spl0_79
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X0,add(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1493,plain,
( ! [X0,X1] :
( additive_identity = additive_inverse(add(X0,X1))
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_41
| ~ spl0_79
| ~ spl0_98 ),
inference(forward_demodulation,[],[f1486,f307]) ).
fof(f1486,plain,
( ! [X0,X1] :
( additive_identity = additive_inverse(add(X0,add(X1,additive_identity)))
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_79
| ~ spl0_98 ),
inference(resolution,[],[f1421,f1091]) ).
fof(f1091,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X3,add(X0,add(X1,X3)))
| ~ sum(X0,X1,X2) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f37652,plain,
( spl0_569
| ~ spl0_28
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f612,f465,f186,f37650]) ).
fof(f37650,plain,
( spl0_569
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(additive_inverse(X1)),X2)
| sum(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f186,plain,
( spl0_28
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,additive_identity,X3)
| sum(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f465,plain,
( spl0_60
<=> ! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f612,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(additive_inverse(X1)),X2)
| sum(X0,X1,X2) )
| ~ spl0_28
| ~ spl0_60 ),
inference(resolution,[],[f466,f187]) ).
fof(f187,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X1,additive_identity,X3)
| ~ sum(X0,X1,X2)
| sum(X0,X3,X2) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f466,plain,
( ! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f37647,plain,
( spl0_568
| ~ spl0_29
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f611,f465,f190,f37645]) ).
fof(f37645,plain,
( spl0_568
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(additive_inverse(X0)),X1,X2)
| sum(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f190,plain,
( spl0_29
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,additive_identity,X3)
| sum(X3,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f611,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(additive_inverse(X0)),X1,X2)
| sum(X0,X1,X2) )
| ~ spl0_29
| ~ spl0_60 ),
inference(resolution,[],[f466,f191]) ).
fof(f191,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X3)
| ~ sum(X0,X1,X2)
| sum(X3,X1,X2) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f37449,plain,
( spl0_567
| ~ spl0_74
| ~ spl0_544 ),
inference(avatar_split_clause,[],[f35035,f32443,f839,f37447]) ).
fof(f37447,plain,
( spl0_567
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_inverse(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f839,plain,
( spl0_74
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(X0,additive_identity,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f32443,plain,
( spl0_544
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_identity,add(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f35035,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_inverse(X0),X1) )
| ~ spl0_74
| ~ spl0_544 ),
inference(resolution,[],[f32444,f840]) ).
fof(f840,plain,
( ! [X2,X0,X1] :
( sum(X0,additive_identity,add(X2,X1))
| ~ sum(X0,additive_inverse(X1),X2) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f32444,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_identity,add(X1,X0))
| additive_identity = X0 )
| ~ spl0_544 ),
inference(avatar_component_clause,[],[f32443]) ).
fof(f34978,plain,
( spl0_566
| ~ spl0_59
| ~ spl0_69
| ~ spl0_538 ),
inference(avatar_split_clause,[],[f34533,f32418,f786,f431,f34976]) ).
fof(f34976,plain,
( spl0_566
<=> ! [X0,X1] :
( sum(X0,additive_identity,additive_identity)
| ~ sum(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f431,plain,
( spl0_59
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f786,plain,
( spl0_69
<=> ! [X0] : additive_inverse(additive_inverse(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f32418,plain,
( spl0_538
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_inverse(X1),additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f34533,plain,
( ! [X0,X1] :
( sum(X0,additive_identity,additive_identity)
| ~ sum(X1,X0,X1) )
| ~ spl0_59
| ~ spl0_69
| ~ spl0_538 ),
inference(forward_demodulation,[],[f34469,f787]) ).
fof(f787,plain,
( ! [X0] : additive_inverse(additive_inverse(X0)) = X0
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f34469,plain,
( ! [X0,X1] :
( sum(additive_inverse(additive_inverse(X0)),additive_identity,additive_identity)
| ~ sum(X1,X0,X1) )
| ~ spl0_59
| ~ spl0_538 ),
inference(resolution,[],[f32419,f432]) ).
fof(f432,plain,
( ! [X2,X0,X1] :
( sum(X2,additive_inverse(X1),X0)
| ~ sum(X0,X1,X2) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f32419,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_inverse(X1),additive_identity,additive_identity) )
| ~ spl0_538 ),
inference(avatar_component_clause,[],[f32418]) ).
fof(f33124,plain,
( spl0_565
| ~ spl0_41
| ~ spl0_45
| ~ spl0_69
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f14219,f13229,f786,f338,f306,f33122]) ).
fof(f33122,plain,
( spl0_565
<=> ! [X0,X1] :
( ~ sum(X1,additive_inverse(X0),X1)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f338,plain,
( spl0_45
<=> ! [X0] : additive_identity = add(additive_inverse(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f13229,plain,
( spl0_317
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(additive_inverse(X1),add(X2,X0))),X2,X1)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f14219,plain,
( ! [X0,X1] :
( ~ sum(X1,additive_inverse(X0),X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_41
| ~ spl0_45
| ~ spl0_69
| ~ spl0_317 ),
inference(forward_demodulation,[],[f14218,f787]) ).
fof(f14218,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(additive_inverse(X1)),additive_inverse(X0),X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_41
| ~ spl0_45
| ~ spl0_317 ),
inference(forward_demodulation,[],[f14160,f307]) ).
fof(f14160,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(additive_inverse(X1),additive_identity)),additive_inverse(X0),X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_45
| ~ spl0_317 ),
inference(superposition,[],[f13230,f339]) ).
fof(f339,plain,
( ! [X0] : additive_identity = add(additive_inverse(X0),X0)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f13230,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(additive_inverse(X1),add(X2,X0))),X2,X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f13229]) ).
fof(f33120,plain,
( spl0_564
| ~ spl0_82
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f13958,f11479,f1102,f33118]) ).
fof(f1102,plain,
( spl0_82
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f11479,plain,
( spl0_310
<=> ! [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_310])]) ).
fof(f13958,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X0,X2) )
| ~ spl0_82
| ~ spl0_310 ),
inference(resolution,[],[f11480,f1103]) ).
fof(f1103,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = X0 )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f11480,plain,
( ! [X2,X3,X0,X1] :
( sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3))
| ~ sum(X0,X1,X2) )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f11479]) ).
fof(f33116,plain,
( spl0_563
| ~ spl0_82
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f13862,f11467,f1102,f33114]) ).
fof(f11467,plain,
( spl0_307
<=> ! [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_307])]) ).
fof(f13862,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = multiply(X2,X0) )
| ~ spl0_82
| ~ spl0_307 ),
inference(resolution,[],[f11468,f1103]) ).
fof(f11468,plain,
( ! [X2,X3,X0,X1] :
( sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2))
| ~ sum(X0,X1,X2) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f11467]) ).
fof(f33112,plain,
( spl0_562
| ~ spl0_2
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f9521,f7600,f25,f33110]) ).
fof(f33110,plain,
( spl0_562
<=> ! [X0,X1] : add(X0,X1) = add(add(X1,X0),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f25,plain,
( spl0_2
<=> ! [X0] : sum(additive_identity,X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f7600,plain,
( spl0_253
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X3,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f9521,plain,
( ! [X0,X1] : add(X0,X1) = add(add(X1,X0),additive_identity)
| ~ spl0_2
| ~ spl0_253 ),
inference(resolution,[],[f7601,f26]) ).
fof(f26,plain,
( ! [X0] : sum(additive_identity,X0,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f7601,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X3,X1),X0) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f7600]) ).
fof(f33108,plain,
( spl0_561
| ~ spl0_2
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f9370,f7596,f25,f33106]) ).
fof(f33106,plain,
( spl0_561
<=> ! [X0,X1] : add(X0,X1) = add(additive_identity,add(X1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f7596,plain,
( spl0_252
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f9370,plain,
( ! [X0,X1] : add(X0,X1) = add(additive_identity,add(X1,X0))
| ~ spl0_2
| ~ spl0_252 ),
inference(resolution,[],[f7597,f26]) ).
fof(f7597,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X3,X1)) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f7596]) ).
fof(f33104,plain,
( spl0_560
| ~ spl0_2
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f8481,f7552,f25,f33102]) ).
fof(f33102,plain,
( spl0_560
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X0,additive_inverse(X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f7552,plain,
( spl0_241
<=> ! [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_241])]) ).
fof(f8481,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X0,additive_inverse(X1),additive_identity) )
| ~ spl0_2
| ~ spl0_241 ),
inference(resolution,[],[f7553,f26]) ).
fof(f7553,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| sum(X3,additive_inverse(X2),additive_identity) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f7552]) ).
fof(f33100,plain,
( spl0_559
| ~ spl0_46
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f6566,f5158,f342,f33098]) ).
fof(f33098,plain,
( spl0_559
<=> ! [X0,X1] :
( sum(additive_identity,X1,additive_identity)
| ~ sum(additive_inverse(X1),X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f342,plain,
( spl0_46
<=> ! [X0] : additive_identity = add(X0,additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f5158,plain,
( spl0_207
<=> ! [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_207])]) ).
fof(f6566,plain,
( ! [X0,X1] :
( sum(additive_identity,X1,additive_identity)
| ~ sum(additive_inverse(X1),X0,X0) )
| ~ spl0_46
| ~ spl0_207 ),
inference(superposition,[],[f5159,f343]) ).
fof(f343,plain,
( ! [X0] : additive_identity = add(X0,additive_inverse(X0))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f5159,plain,
( ! [X2,X0,X1] :
( sum(add(X0,additive_inverse(X1)),X2,additive_identity)
| ~ sum(additive_inverse(X2),X1,X0) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f5158]) ).
fof(f33096,plain,
( spl0_558
| ~ spl0_91
| ~ spl0_115
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f5796,f5104,f1627,f1374,f33094]) ).
fof(f33094,plain,
( spl0_558
<=> ! [X2,X1] :
( ~ sum(additive_inverse(X1),X2,additive_identity)
| sum(additive_identity,X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f1374,plain,
( spl0_91
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f1627,plain,
( spl0_115
<=> ! [X0,X1] : sum(add(X0,additive_inverse(add(X0,X1))),X1,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f5796,plain,
( ! [X2,X1] :
( ~ sum(additive_inverse(X1),X2,additive_identity)
| sum(additive_identity,X2,X1) )
| ~ spl0_91
| ~ spl0_115
| ~ spl0_194 ),
inference(forward_demodulation,[],[f5763,f1924]) ).
fof(f1924,plain,
( ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X1,X0)))
| ~ spl0_91
| ~ spl0_115 ),
inference(resolution,[],[f1628,f1375]) ).
fof(f1375,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X0 )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1628,plain,
( ! [X0,X1] : sum(add(X0,additive_inverse(add(X0,X1))),X1,additive_identity)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f5763,plain,
( ! [X2,X0,X1] :
( ~ sum(add(X0,additive_inverse(add(X0,X1))),X2,additive_identity)
| sum(additive_identity,X2,X1) )
| ~ spl0_115
| ~ spl0_194 ),
inference(resolution,[],[f5105,f1628]) ).
fof(f33092,plain,
( spl0_557
| ~ spl0_5
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f5758,f5104,f37,f33090]) ).
fof(f33090,plain,
( spl0_557
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X1,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f37,plain,
( spl0_5
<=> ! [X0] : sum(X0,additive_inverse(X0),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f5758,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X1,additive_inverse(X0)) )
| ~ spl0_5
| ~ spl0_194 ),
inference(resolution,[],[f5105,f38]) ).
fof(f38,plain,
( ! [X0] : sum(X0,additive_inverse(X0),additive_identity)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f33088,plain,
( spl0_556
| ~ spl0_91
| ~ spl0_115
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f5726,f5100,f1627,f1374,f33086]) ).
fof(f33086,plain,
( spl0_556
<=> ! [X2,X1,X3] :
( ~ sum(additive_inverse(X1),X1,X2)
| sum(X2,X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f5100,plain,
( spl0_193
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f5726,plain,
( ! [X2,X3,X1] :
( ~ sum(additive_inverse(X1),X1,X2)
| sum(X2,X3,X3) )
| ~ spl0_91
| ~ spl0_115
| ~ spl0_193 ),
inference(forward_demodulation,[],[f5697,f1924]) ).
fof(f5697,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(add(X0,additive_inverse(add(X0,X1))),X1,X2)
| sum(X2,X3,X3) )
| ~ spl0_115
| ~ spl0_193 ),
inference(resolution,[],[f5101,f1628]) ).
fof(f5101,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X3) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f5100]) ).
fof(f32835,plain,
( spl0_555
| ~ spl0_5
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f5692,f5100,f37,f32833]) ).
fof(f32833,plain,
( spl0_555
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(X1,X2,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f5692,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(X1,X2,X2) )
| ~ spl0_5
| ~ spl0_193 ),
inference(resolution,[],[f5101,f38]) ).
fof(f32831,plain,
( spl0_554
| ~ spl0_59
| ~ spl0_69
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f3255,f2121,f786,f431,f32829]) ).
fof(f32829,plain,
( spl0_554
<=> ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f2121,plain,
( spl0_147
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X1),X0,additive_identity)
| sum(additive_inverse(X0),X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f3255,plain,
( ! [X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(X1)) )
| ~ spl0_59
| ~ spl0_69
| ~ spl0_147 ),
inference(forward_demodulation,[],[f3245,f787]) ).
fof(f3245,plain,
( ! [X0,X1] :
( sum(additive_inverse(additive_inverse(X0)),X1,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(X1)) )
| ~ spl0_59
| ~ spl0_147 ),
inference(resolution,[],[f2122,f432]) ).
fof(f2122,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X1),X0,additive_identity)
| sum(additive_inverse(X0),X1,additive_identity) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f2121]) ).
fof(f32827,plain,
( spl0_553
| ~ spl0_107
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f3244,f2121,f1594,f32825]) ).
fof(f32825,plain,
( spl0_553
<=> ! [X0,X1] :
( sum(additive_inverse(X0),X1,additive_identity)
| ~ sum(additive_identity,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f3244,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X1,additive_identity)
| ~ sum(additive_identity,X1,X0) )
| ~ spl0_107
| ~ spl0_147 ),
inference(resolution,[],[f2122,f1595]) ).
fof(f32823,plain,
( spl0_552
| ~ spl0_35
| ~ spl0_115
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f3225,f2117,f1627,f261,f32821]) ).
fof(f32821,plain,
( spl0_552
<=> ! [X0,X1] : add(X1,additive_inverse(add(X1,additive_inverse(X0)))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f261,plain,
( spl0_35
<=> ! [X0] : add(additive_identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2117,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X2,X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f3225,plain,
( ! [X0,X1] : add(X1,additive_inverse(add(X1,additive_inverse(X0)))) = X0
| ~ spl0_35
| ~ spl0_115
| ~ spl0_146 ),
inference(forward_demodulation,[],[f3199,f262]) ).
fof(f262,plain,
( ! [X0] : add(additive_identity,X0) = X0
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f3199,plain,
( ! [X0,X1] : add(additive_identity,X0) = add(X1,additive_inverse(add(X1,additive_inverse(X0))))
| ~ spl0_115
| ~ spl0_146 ),
inference(resolution,[],[f2118,f1628]) ).
fof(f2118,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X2,X1) = X0 )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f2117]) ).
fof(f32819,plain,
( spl0_551
| ~ spl0_35
| ~ spl0_105
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f3223,f2117,f1586,f261,f32817]) ).
fof(f32817,plain,
( spl0_551
<=> ! [X0,X1] :
( additive_inverse(X1) = X0
| ~ sum(additive_inverse(X0),additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f3223,plain,
( ! [X0,X1] :
( additive_inverse(X1) = X0
| ~ sum(additive_inverse(X0),additive_identity,X1) )
| ~ spl0_35
| ~ spl0_105
| ~ spl0_146 ),
inference(forward_demodulation,[],[f3196,f262]) ).
fof(f3196,plain,
( ! [X0,X1] :
( additive_inverse(X1) = add(additive_identity,X0)
| ~ sum(additive_inverse(X0),additive_identity,X1) )
| ~ spl0_105
| ~ spl0_146 ),
inference(resolution,[],[f2118,f1587]) ).
fof(f32815,plain,
( spl0_550
| ~ spl0_21
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f3138,f2113,f132,f32813]) ).
fof(f32813,plain,
( spl0_550
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| add(X1,X0) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f3138,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| add(X1,X0) = X1 )
| ~ spl0_21
| ~ spl0_145 ),
inference(resolution,[],[f2114,f133]) ).
fof(f32811,plain,
( spl0_549
| ~ spl0_21
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f3094,f2109,f132,f32809]) ).
fof(f32809,plain,
( spl0_549
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| add(X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f3094,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| add(X0,X1) = X1 )
| ~ spl0_21
| ~ spl0_144 ),
inference(resolution,[],[f2110,f133]) ).
fof(f32807,plain,
( spl0_548
| ~ spl0_82
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2664,f2069,f1102,f32805]) ).
fof(f32805,plain,
( spl0_548
<=> ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f2664,plain,
( ! [X0,X1] :
( ~ sum(add(X0,X1),additive_identity,X0)
| additive_identity = X1 )
| ~ spl0_82
| ~ spl0_134 ),
inference(resolution,[],[f2070,f1103]) ).
fof(f32803,plain,
( spl0_547
| ~ spl0_107
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2472,f2045,f1594,f32801]) ).
fof(f32801,plain,
( spl0_547
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,add(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f2045,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f2472,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,add(X0,X1),X1) )
| ~ spl0_107
| ~ spl0_128 ),
inference(resolution,[],[f2046,f1595]) ).
fof(f2046,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| additive_identity = X0 )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f2045]) ).
fof(f32799,plain,
( spl0_546
| ~ spl0_105
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2466,f2045,f1586,f32797]) ).
fof(f32797,plain,
( spl0_546
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_identity,add(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f2466,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_identity,add(X0,X1)) )
| ~ spl0_105
| ~ spl0_128 ),
inference(resolution,[],[f2046,f1587]) ).
fof(f32449,plain,
( spl0_545
| ~ spl0_107
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2406,f2037,f1594,f32447]) ).
fof(f32447,plain,
( spl0_545
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,add(X1,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f2037,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| additive_identity = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f2406,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_identity,add(X1,X0),X1) )
| ~ spl0_107
| ~ spl0_126 ),
inference(resolution,[],[f2038,f1595]) ).
fof(f2038,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| additive_identity = X1 )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f32445,plain,
( spl0_544
| ~ spl0_105
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2400,f2037,f1586,f32443]) ).
fof(f2400,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_identity,add(X1,X0)) )
| ~ spl0_105
| ~ spl0_126 ),
inference(resolution,[],[f2038,f1587]) ).
fof(f32441,plain,
( spl0_543
| ~ spl0_69
| ~ spl0_106
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2337,f2019,f1590,f786,f32439]) ).
fof(f32439,plain,
( spl0_543
<=> ! [X0,X1] :
( add(X0,X1) = X0
| ~ sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f1590,plain,
( spl0_106
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(X1,additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f2019,plain,
( spl0_122
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(additive_inverse(X1),X2) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2337,plain,
( ! [X0,X1] :
( add(X0,X1) = X0
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_69
| ~ spl0_106
| ~ spl0_122 ),
inference(forward_demodulation,[],[f2303,f787]) ).
fof(f2303,plain,
( ! [X0,X1] :
( add(additive_inverse(additive_inverse(X0)),X1) = X0
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_106
| ~ spl0_122 ),
inference(resolution,[],[f2020,f1591]) ).
fof(f1591,plain,
( ! [X0,X1] :
( sum(X1,additive_inverse(X1),X0)
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f2020,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(additive_inverse(X1),X2) = X0 )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f2019]) ).
fof(f32437,plain,
( spl0_542
| ~ spl0_59
| ~ spl0_69
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2150,f1999,f786,f431,f32435]) ).
fof(f32435,plain,
( spl0_542
<=> ! [X0,X1] :
( sum(X0,additive_identity,X1)
| ~ sum(additive_inverse(X1),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f1999,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_inverse(X0),additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f2150,plain,
( ! [X0,X1] :
( sum(X0,additive_identity,X1)
| ~ sum(additive_inverse(X1),X0,additive_identity) )
| ~ spl0_59
| ~ spl0_69
| ~ spl0_117 ),
inference(forward_demodulation,[],[f2145,f787]) ).
fof(f2145,plain,
( ! [X0,X1] :
( sum(additive_inverse(additive_inverse(X0)),additive_identity,X1)
| ~ sum(additive_inverse(X1),X0,additive_identity) )
| ~ spl0_59
| ~ spl0_117 ),
inference(resolution,[],[f2000,f432]) ).
fof(f2000,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_inverse(X0),additive_identity,X1) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f32432,plain,
( spl0_541
| ~ spl0_47
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1954,f1627,f358,f32430]) ).
fof(f32430,plain,
( spl0_541
<=> ! [X0,X1] : sum(add(X0,additive_inverse(add(X1,X0))),X1,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f1954,plain,
( ! [X0,X1] : sum(add(X0,additive_inverse(add(X1,X0))),X1,additive_identity)
| ~ spl0_47
| ~ spl0_115 ),
inference(superposition,[],[f1628,f359]) ).
fof(f32428,plain,
( spl0_540
| ~ spl0_91
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1924,f1627,f1374,f32426]) ).
fof(f32426,plain,
( spl0_540
<=> ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X1,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f32424,plain,
( spl0_539
| ~ spl0_91
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1788,f1594,f1374,f32422]) ).
fof(f32422,plain,
( spl0_539
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_inverse(X0) = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f1788,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_inverse(X0) = additive_inverse(X1) )
| ~ spl0_91
| ~ spl0_107 ),
inference(resolution,[],[f1595,f1375]) ).
fof(f32420,plain,
( spl0_538
| ~ spl0_49
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1777,f1594,f384,f32418]) ).
fof(f1777,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_inverse(X1),additive_identity,additive_identity) )
| ~ spl0_49
| ~ spl0_107 ),
inference(resolution,[],[f1595,f385]) ).
fof(f32416,plain,
( spl0_537
| ~ spl0_99
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1775,f1594,f1424,f32414]) ).
fof(f32414,plain,
( spl0_537
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,additive_identity,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f1775,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,additive_identity,additive_inverse(X1)) )
| ~ spl0_99
| ~ spl0_107 ),
inference(resolution,[],[f1595,f1425]) ).
fof(f32412,plain,
( spl0_536
| ~ spl0_99
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1747,f1590,f1424,f32410]) ).
fof(f32410,plain,
( spl0_536
<=> ! [X0] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f1747,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_99
| ~ spl0_106 ),
inference(resolution,[],[f1591,f1425]) ).
fof(f32173,plain,
( spl0_535
| ~ spl0_48
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1725,f1586,f380,f32171]) ).
fof(f32171,plain,
( spl0_535
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_inverse(X0),X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f380,plain,
( spl0_48
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1725,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_inverse(X0),X1,X1) )
| ~ spl0_48
| ~ spl0_105 ),
inference(resolution,[],[f1587,f381]) ).
fof(f381,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f32169,plain,
( spl0_534
| ~ spl0_91
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1711,f1586,f1374,f32167]) ).
fof(f32167,plain,
( spl0_534
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_inverse(X0) = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f1711,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_inverse(X0) = additive_inverse(X1) )
| ~ spl0_91
| ~ spl0_105 ),
inference(resolution,[],[f1587,f1375]) ).
fof(f32165,plain,
( spl0_533
| ~ spl0_8
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1676,f1582,f49,f32163]) ).
fof(f32163,plain,
( spl0_533
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(X1,additive_inverse(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f1676,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(X1,additive_inverse(X0),X1) )
| ~ spl0_8
| ~ spl0_104 ),
inference(resolution,[],[f1583,f50]) ).
fof(f32161,plain,
( spl0_532
| ~ spl0_58
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1499,f1424,f427,f32159]) ).
fof(f32159,plain,
( spl0_532
<=> ! [X0] :
( sum(additive_identity,additive_identity,additive_inverse(X0))
| ~ sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f427,plain,
( spl0_58
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_inverse(X1),X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f1499,plain,
( ! [X0] :
( sum(additive_identity,additive_identity,additive_inverse(X0))
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_58
| ~ spl0_99 ),
inference(resolution,[],[f1425,f428]) ).
fof(f428,plain,
( ! [X0,X1] :
( sum(additive_inverse(X1),X1,X0)
| ~ sum(additive_identity,additive_identity,X0) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f32139,plain,
( spl0_531
| ~ spl0_19
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1258,f1098,f116,f32137]) ).
fof(f32137,plain,
( spl0_531
<=> ! [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_531])]) ).
fof(f116,plain,
( spl0_19
<=> ! [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_19])]) ).
fof(f1098,plain,
( spl0_81
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| product(X0,multiply(X1,X3),multiply(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f1258,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_19
| ~ spl0_81 ),
inference(resolution,[],[f1099,f117]) ).
fof(f117,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_19 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f1099,plain,
( ! [X2,X3,X0,X1] :
( product(X0,multiply(X1,X3),multiply(X2,X3))
| ~ product(X0,X1,X2) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f32135,plain,
( spl0_530
| ~ spl0_18
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1257,f1098,f112,f32133]) ).
fof(f32133,plain,
( spl0_530
<=> ! [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_530])]) ).
fof(f112,plain,
( spl0_18
<=> ! [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_18])]) ).
fof(f1257,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_18
| ~ spl0_81 ),
inference(resolution,[],[f1099,f113]) ).
fof(f113,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_18 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f32072,plain,
( spl0_529
| ~ spl0_257
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f24463,f12995,f7616,f32070]) ).
fof(f32070,plain,
( spl0_529
<=> ! [X0,X1] : sum(additive_inverse(add(additive_inverse(X0),X1)),X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f7616,plain,
( spl0_257
<=> ! [X0,X1] : add(add(additive_inverse(X0),X1),X0) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f12995,plain,
( spl0_315
<=> ! [X0,X1] : sum(additive_inverse(X1),add(X1,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f24463,plain,
( ! [X0,X1] : sum(additive_inverse(add(additive_inverse(X0),X1)),X1,X0)
| ~ spl0_257
| ~ spl0_315 ),
inference(superposition,[],[f12996,f7617]) ).
fof(f7617,plain,
( ! [X0,X1] : add(add(additive_inverse(X0),X1),X0) = X1
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f7616]) ).
fof(f12996,plain,
( ! [X0,X1] : sum(additive_inverse(X1),add(X1,X0),X0)
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f12995]) ).
fof(f31916,plain,
( spl0_528
| ~ spl0_19
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1269,f1106,f116,f31914]) ).
fof(f31914,plain,
( spl0_528
<=> ! [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_528])]) ).
fof(f1106,plain,
( spl0_83
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| product(X2,X3,multiply(X0,multiply(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f1269,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_19
| ~ spl0_83 ),
inference(resolution,[],[f1107,f117]) ).
fof(f1107,plain,
( ! [X2,X3,X0,X1] :
( product(X2,X3,multiply(X0,multiply(X1,X3)))
| ~ product(X0,X1,X2) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f31912,plain,
( spl0_527
| ~ spl0_18
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1268,f1106,f112,f31910]) ).
fof(f31910,plain,
( spl0_527
<=> ! [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_527])]) ).
fof(f1268,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_18
| ~ spl0_83 ),
inference(resolution,[],[f1107,f113]) ).
fof(f31908,plain,
( spl0_526
| ~ spl0_17
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1267,f1106,f108,f31906]) ).
fof(f31906,plain,
( spl0_526
<=> ! [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_526])]) ).
fof(f108,plain,
( spl0_17
<=> ! [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_17])]) ).
fof(f1267,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_17
| ~ spl0_83 ),
inference(resolution,[],[f1107,f109]) ).
fof(f109,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_17 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f31904,plain,
( spl0_525
| ~ spl0_16
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1266,f1106,f104,f31902]) ).
fof(f31902,plain,
( spl0_525
<=> ! [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_525])]) ).
fof(f104,plain,
( spl0_16
<=> ! [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_16])]) ).
fof(f1266,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_16
| ~ spl0_83 ),
inference(resolution,[],[f1107,f105]) ).
fof(f105,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_16 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f31900,plain,
( spl0_524
| ~ spl0_43
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1262,f1098,f314,f31898]) ).
fof(f31898,plain,
( spl0_524
<=> ! [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_524])]) ).
fof(f314,plain,
( spl0_43
<=> ! [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_43])]) ).
fof(f1262,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_43
| ~ spl0_81 ),
inference(resolution,[],[f1099,f315]) ).
fof(f315,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_43 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f31896,plain,
( spl0_523
| ~ spl0_257
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f24462,f11455,f7616,f31894]) ).
fof(f31894,plain,
( spl0_523
<=> ! [X0,X1] : sum(X1,additive_inverse(add(additive_inverse(X0),X1)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f11455,plain,
( spl0_304
<=> ! [X0,X1] : sum(add(X1,X0),additive_inverse(X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f24462,plain,
( ! [X0,X1] : sum(X1,additive_inverse(add(additive_inverse(X0),X1)),X0)
| ~ spl0_257
| ~ spl0_304 ),
inference(superposition,[],[f11456,f7617]) ).
fof(f11456,plain,
( ! [X0,X1] : sum(add(X1,X0),additive_inverse(X1),X0)
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f11455]) ).
fof(f31892,plain,
( spl0_522
| ~ spl0_17
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1256,f1098,f108,f31890]) ).
fof(f31890,plain,
( spl0_522
<=> ! [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_522])]) ).
fof(f1256,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_17
| ~ spl0_81 ),
inference(resolution,[],[f1099,f109]) ).
fof(f31888,plain,
( spl0_521
| ~ spl0_16
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1255,f1098,f104,f31886]) ).
fof(f31886,plain,
( spl0_521
<=> ! [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_521])]) ).
fof(f1255,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_16
| ~ spl0_81 ),
inference(resolution,[],[f1099,f105]) ).
fof(f31756,plain,
( spl0_520
| ~ spl0_246
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f23389,f12995,f7572,f31754]) ).
fof(f31754,plain,
( spl0_520
<=> ! [X0,X1] : sum(additive_inverse(add(X0,additive_inverse(X1))),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f7572,plain,
( spl0_246
<=> ! [X0,X1] : add(add(X0,additive_inverse(X1)),X1) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f23389,plain,
( ! [X0,X1] : sum(additive_inverse(add(X0,additive_inverse(X1))),X0,X1)
| ~ spl0_246
| ~ spl0_315 ),
inference(superposition,[],[f12996,f7573]) ).
fof(f7573,plain,
( ! [X0,X1] : add(add(X0,additive_inverse(X1)),X1) = X0
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f7572]) ).
fof(f31752,plain,
( spl0_519
| ~ spl0_7
| ~ spl0_248
| ~ spl0_510 ),
inference(avatar_split_clause,[],[f31698,f31695,f7580,f45,f31750]) ).
fof(f31750,plain,
( spl0_519
<=> ! [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_519])]) ).
fof(f7580,plain,
( spl0_248
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f31695,plain,
( spl0_510
<=> ! [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_510])]) ).
fof(f31698,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_248
| ~ spl0_510 ),
inference(forward_demodulation,[],[f31696,f8761]) ).
fof(f8761,plain,
( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2)
| ~ spl0_7
| ~ spl0_248 ),
inference(resolution,[],[f7581,f46]) ).
fof(f7581,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X1,X3)) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f7580]) ).
fof(f31696,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_510 ),
inference(avatar_component_clause,[],[f31695]) ).
fof(f31748,plain,
( spl0_518
| ~ spl0_7
| ~ spl0_248
| ~ spl0_509 ),
inference(avatar_split_clause,[],[f31693,f31690,f7580,f45,f31746]) ).
fof(f31746,plain,
( spl0_518
<=> ! [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_518])]) ).
fof(f31690,plain,
( spl0_509
<=> ! [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_509])]) ).
fof(f31693,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_248
| ~ spl0_509 ),
inference(forward_demodulation,[],[f31691,f8761]) ).
fof(f31691,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_509 ),
inference(avatar_component_clause,[],[f31690]) ).
fof(f31726,plain,
( spl0_517
| ~ spl0_81
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1418,f1394,f1098,f31724]) ).
fof(f31724,plain,
( spl0_517
<=> ! [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_517])]) ).
fof(f1394,plain,
( spl0_96
<=> ! [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_96])]) ).
fof(f1418,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_81
| ~ spl0_96 ),
inference(resolution,[],[f1395,f1099]) ).
fof(f1395,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(multiply(X3,X1),X2)) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f31722,plain,
( spl0_516
| ~ spl0_81
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1411,f1390,f1098,f31720]) ).
fof(f31720,plain,
( spl0_516
<=> ! [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_516])]) ).
fof(f1390,plain,
( spl0_95
<=> ! [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_95])]) ).
fof(f1411,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_81
| ~ spl0_95 ),
inference(resolution,[],[f1391,f1099]) ).
fof(f1391,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(X2,multiply(X3,X1))) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f31718,plain,
( spl0_515
| ~ spl0_81
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1408,f1386,f1098,f31716]) ).
fof(f31716,plain,
( spl0_515
<=> ! [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_515])]) ).
fof(f1386,plain,
( spl0_94
<=> ! [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_94])]) ).
fof(f1408,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_81
| ~ spl0_94 ),
inference(resolution,[],[f1387,f1099]) ).
fof(f1387,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X2,multiply(X3,X1),multiply(X4,X1)) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f31714,plain,
( spl0_514
| ~ spl0_43
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1273,f1106,f314,f31712]) ).
fof(f31712,plain,
( spl0_514
<=> ! [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_514])]) ).
fof(f1273,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_43
| ~ spl0_83 ),
inference(resolution,[],[f1107,f315]) ).
fof(f31710,plain,
( spl0_513
| ~ spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1272,f1106,f302,f31708]) ).
fof(f31708,plain,
( spl0_513
<=> ! [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_513])]) ).
fof(f302,plain,
( spl0_40
<=> ! [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_40])]) ).
fof(f1272,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_40
| ~ spl0_83 ),
inference(resolution,[],[f1107,f303]) ).
fof(f303,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_40 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f31706,plain,
( spl0_512
| ~ spl0_40
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1261,f1098,f302,f31704]) ).
fof(f31704,plain,
( spl0_512
<=> ! [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_512])]) ).
fof(f1261,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_40
| ~ spl0_81 ),
inference(resolution,[],[f1099,f303]) ).
fof(f31702,plain,
( spl0_511
| ~ spl0_246
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f23388,f11455,f7572,f31700]) ).
fof(f31700,plain,
( spl0_511
<=> ! [X0,X1] : sum(X0,additive_inverse(add(X0,additive_inverse(X1))),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f23388,plain,
( ! [X0,X1] : sum(X0,additive_inverse(add(X0,additive_inverse(X1))),X1)
| ~ spl0_246
| ~ spl0_304 ),
inference(superposition,[],[f11456,f7573]) ).
fof(f31697,plain,
( spl0_510
| ~ spl0_42
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1224,f1094,f310,f31695]) ).
fof(f310,plain,
( spl0_42
<=> ! [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_42])]) ).
fof(f1224,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_42
| ~ spl0_80 ),
inference(resolution,[],[f1095,f311]) ).
fof(f311,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_42 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f31692,plain,
( spl0_509
| ~ spl0_44
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1223,f1094,f318,f31690]) ).
fof(f318,plain,
( spl0_44
<=> ! [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_44])]) ).
fof(f1223,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_44
| ~ spl0_80 ),
inference(resolution,[],[f1095,f319]) ).
fof(f319,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_44 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f31688,plain,
( spl0_508
| ~ spl0_42
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1183,f1090,f310,f31686]) ).
fof(f31686,plain,
( spl0_508
<=> ! [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_508])]) ).
fof(f1183,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_42
| ~ spl0_79 ),
inference(resolution,[],[f1091,f311]) ).
fof(f31684,plain,
( spl0_507
| ~ spl0_44
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1182,f1090,f318,f31682]) ).
fof(f31682,plain,
( spl0_507
<=> ! [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_507])]) ).
fof(f1182,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_44
| ~ spl0_79 ),
inference(resolution,[],[f1091,f319]) ).
fof(f31632,plain,
( spl0_506
| ~ spl0_42
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f970,f835,f310,f31630]) ).
fof(f31630,plain,
( spl0_506
<=> ! [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_506])]) ).
fof(f835,plain,
( spl0_73
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(additive_inverse(X2),X0),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f970,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_42
| ~ spl0_73 ),
inference(resolution,[],[f836,f311]) ).
fof(f836,plain,
( ! [X2,X0,X1] :
( sum(add(additive_inverse(X2),X0),X2,X1)
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f31628,plain,
( spl0_505
| ~ spl0_44
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f969,f835,f318,f31626]) ).
fof(f31626,plain,
( spl0_505
<=> ! [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_505])]) ).
fof(f969,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_44
| ~ spl0_73 ),
inference(resolution,[],[f836,f319]) ).
fof(f31624,plain,
( spl0_504
| ~ spl0_181
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f17956,f12995,f4358,f31622]) ).
fof(f31622,plain,
( spl0_504
<=> ! [X0,X1] : sum(additive_inverse(add(X0,X1)),X1,additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f4358,plain,
( spl0_181
<=> ! [X0,X1] : add(add(X0,X1),additive_inverse(X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f17956,plain,
( ! [X0,X1] : sum(additive_inverse(add(X0,X1)),X1,additive_inverse(X0))
| ~ spl0_181
| ~ spl0_315 ),
inference(superposition,[],[f12996,f4359]) ).
fof(f4359,plain,
( ! [X0,X1] : add(add(X0,X1),additive_inverse(X0)) = X1
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f4358]) ).
fof(f31620,plain,
( spl0_503
| ~ spl0_42
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f931,f831,f310,f31618]) ).
fof(f31618,plain,
( spl0_503
<=> ! [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_503])]) ).
fof(f831,plain,
( spl0_72
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,additive_inverse(X2)),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f931,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_42
| ~ spl0_72 ),
inference(resolution,[],[f832,f311]) ).
fof(f832,plain,
( ! [X2,X0,X1] :
( sum(add(X0,additive_inverse(X2)),X2,X1)
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f31616,plain,
( spl0_502
| ~ spl0_44
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f930,f831,f318,f31614]) ).
fof(f31614,plain,
( spl0_502
<=> ! [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_502])]) ).
fof(f930,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_44
| ~ spl0_72 ),
inference(resolution,[],[f832,f319]) ).
fof(f31217,plain,
( spl0_501
| ~ spl0_181
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f17955,f11455,f4358,f31215]) ).
fof(f31215,plain,
( spl0_501
<=> ! [X0,X1] : sum(X1,additive_inverse(add(X0,X1)),additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f17955,plain,
( ! [X0,X1] : sum(X1,additive_inverse(add(X0,X1)),additive_inverse(X0))
| ~ spl0_181
| ~ spl0_304 ),
inference(superposition,[],[f11456,f4359]) ).
fof(f31010,plain,
( spl0_500
| ~ spl0_7
| ~ spl0_248
| ~ spl0_483 ),
inference(avatar_split_clause,[],[f30324,f30321,f7580,f45,f31008]) ).
fof(f31008,plain,
( spl0_500
<=> ! [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_500])]) ).
fof(f30321,plain,
( spl0_483
<=> ! [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_483])]) ).
fof(f30324,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_248
| ~ spl0_483 ),
inference(forward_demodulation,[],[f30322,f8761]) ).
fof(f30322,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_483 ),
inference(avatar_component_clause,[],[f30321]) ).
fof(f31006,plain,
( spl0_499
| ~ spl0_7
| ~ spl0_248
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f30319,f30316,f7580,f45,f31004]) ).
fof(f31004,plain,
( spl0_499
<=> ! [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_499])]) ).
fof(f30316,plain,
( spl0_482
<=> ! [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_482])]) ).
fof(f30319,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_248
| ~ spl0_482 ),
inference(forward_demodulation,[],[f30317,f8761]) ).
fof(f30317,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_482 ),
inference(avatar_component_clause,[],[f30316]) ).
fof(f30898,plain,
( spl0_498
| ~ spl0_180
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f14708,f12995,f3884,f30896]) ).
fof(f30896,plain,
( spl0_498
<=> ! [X0,X1] : sum(additive_inverse(add(X0,X1)),X0,additive_inverse(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f3884,plain,
( spl0_180
<=> ! [X0,X1] : add(add(X0,X1),additive_inverse(X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f14708,plain,
( ! [X0,X1] : sum(additive_inverse(add(X0,X1)),X0,additive_inverse(X1))
| ~ spl0_180
| ~ spl0_315 ),
inference(superposition,[],[f12996,f3885]) ).
fof(f3885,plain,
( ! [X0,X1] : add(add(X0,X1),additive_inverse(X1)) = X0
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f3884]) ).
fof(f30408,plain,
( spl0_497
| ~ spl0_83
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1417,f1394,f1106,f30406]) ).
fof(f30406,plain,
( spl0_497
<=> ! [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_497])]) ).
fof(f1417,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_83
| ~ spl0_96 ),
inference(resolution,[],[f1395,f1107]) ).
fof(f30404,plain,
( spl0_496
| ~ spl0_180
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f13742,f11455,f3884,f30402]) ).
fof(f30402,plain,
( spl0_496
<=> ! [X0,X1] : sum(X0,additive_inverse(add(X0,X1)),additive_inverse(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f13742,plain,
( ! [X0,X1] : sum(X0,additive_inverse(add(X0,X1)),additive_inverse(X1))
| ~ spl0_180
| ~ spl0_304 ),
inference(superposition,[],[f11456,f3885]) ).
fof(f30400,plain,
( spl0_495
| ~ spl0_83
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1410,f1390,f1106,f30398]) ).
fof(f30398,plain,
( spl0_495
<=> ! [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_495])]) ).
fof(f1410,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_83
| ~ spl0_95 ),
inference(resolution,[],[f1391,f1107]) ).
fof(f30396,plain,
( spl0_494
| ~ spl0_83
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1407,f1386,f1106,f30394]) ).
fof(f30394,plain,
( spl0_494
<=> ! [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_494])]) ).
fof(f1407,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_83
| ~ spl0_94 ),
inference(resolution,[],[f1387,f1107]) ).
fof(f30392,plain,
( spl0_493
| ~ spl0_81
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f1405,f1382,f1098,f30390]) ).
fof(f30390,plain,
( spl0_493
<=> ! [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_493])]) ).
fof(f1382,plain,
( spl0_93
<=> ! [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_93])]) ).
fof(f1405,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_81
| ~ spl0_93 ),
inference(resolution,[],[f1383,f1099]) ).
fof(f1383,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(multiply(X0,X3),X2)) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f30388,plain,
( spl0_492
| ~ spl0_83
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f1404,f1382,f1106,f30386]) ).
fof(f30386,plain,
( spl0_492
<=> ! [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_492])]) ).
fof(f1404,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_83
| ~ spl0_93 ),
inference(resolution,[],[f1383,f1107]) ).
fof(f30384,plain,
( spl0_491
| ~ spl0_81
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1402,f1378,f1098,f30382]) ).
fof(f30382,plain,
( spl0_491
<=> ! [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_491])]) ).
fof(f1378,plain,
( spl0_92
<=> ! [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_92])]) ).
fof(f1402,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_81
| ~ spl0_92 ),
inference(resolution,[],[f1379,f1099]) ).
fof(f1379,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(X2,multiply(X0,X3))) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f30380,plain,
( spl0_490
| ~ spl0_83
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1401,f1378,f1106,f30378]) ).
fof(f30378,plain,
( spl0_490
<=> ! [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_490])]) ).
fof(f1401,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_83
| ~ spl0_92 ),
inference(resolution,[],[f1379,f1107]) ).
fof(f30376,plain,
( spl0_489
| ~ spl0_81
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1399,f1370,f1098,f30374]) ).
fof(f30374,plain,
( spl0_489
<=> ! [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_489])]) ).
fof(f1370,plain,
( spl0_90
<=> ! [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_90])]) ).
fof(f1399,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_81
| ~ spl0_90 ),
inference(resolution,[],[f1371,f1099]) ).
fof(f1371,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X2,multiply(X0,X3),multiply(X0,X4)) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f30372,plain,
( spl0_488
| ~ spl0_83
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1398,f1370,f1106,f30370]) ).
fof(f30370,plain,
( spl0_488
<=> ! [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_488])]) ).
fof(f1398,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_83
| ~ spl0_90 ),
inference(resolution,[],[f1371,f1107]) ).
fof(f30368,plain,
( spl0_487
| ~ spl0_15
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1265,f1106,f88,f30366]) ).
fof(f30366,plain,
( spl0_487
<=> ! [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_487])]) ).
fof(f88,plain,
( spl0_15
<=> ! [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_15])]) ).
fof(f1265,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_15
| ~ spl0_83 ),
inference(resolution,[],[f1107,f89]) ).
fof(f89,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X2)
| product(X2,X3,X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f30364,plain,
( spl0_486
| ~ spl0_13
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1264,f1106,f80,f30362]) ).
fof(f30362,plain,
( spl0_486
<=> ! [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_486])]) ).
fof(f80,plain,
( spl0_13
<=> ! [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_13])]) ).
fof(f1264,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_13
| ~ spl0_83 ),
inference(resolution,[],[f1107,f81]) ).
fof(f81,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X0,X4,X5) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f30332,plain,
( spl0_485
| ~ spl0_15
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1254,f1098,f88,f30330]) ).
fof(f30330,plain,
( spl0_485
<=> ! [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_485])]) ).
fof(f1254,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_15
| ~ spl0_81 ),
inference(resolution,[],[f1099,f89]) ).
fof(f30328,plain,
( spl0_484
| ~ spl0_13
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1253,f1098,f80,f30326]) ).
fof(f30326,plain,
( spl0_484
<=> ! [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_484])]) ).
fof(f1253,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_13
| ~ spl0_81 ),
inference(resolution,[],[f1099,f81]) ).
fof(f30323,plain,
( spl0_483
| ~ spl0_12
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1213,f1094,f76,f30321]) ).
fof(f76,plain,
( spl0_12
<=> ! [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_12])]) ).
fof(f1213,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_12
| ~ spl0_80 ),
inference(resolution,[],[f1095,f77]) ).
fof(f77,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X4,X5)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f30318,plain,
( spl0_482
| ~ spl0_11
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1212,f1094,f72,f30316]) ).
fof(f72,plain,
( spl0_11
<=> ! [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_11])]) ).
fof(f1212,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_11
| ~ spl0_80 ),
inference(resolution,[],[f1095,f73]) ).
fof(f73,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X2,X3,X5)
| ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,X5) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f30314,plain,
( spl0_481
| ~ spl0_12
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1172,f1090,f76,f30312]) ).
fof(f30312,plain,
( spl0_481
<=> ! [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_481])]) ).
fof(f1172,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_12
| ~ spl0_79 ),
inference(resolution,[],[f1091,f77]) ).
fof(f30310,plain,
( spl0_480
| ~ spl0_11
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1171,f1090,f72,f30308]) ).
fof(f30308,plain,
( spl0_480
<=> ! [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_480])]) ).
fof(f1171,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_11
| ~ spl0_79 ),
inference(resolution,[],[f1091,f73]) ).
fof(f30306,plain,
( spl0_479
| ~ spl0_12
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1143,f1086,f76,f30304]) ).
fof(f30304,plain,
( spl0_479
<=> ! [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_479])]) ).
fof(f1086,plain,
( spl0_78
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X1),add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1143,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_12
| ~ spl0_78 ),
inference(resolution,[],[f1087,f77]) ).
fof(f1087,plain,
( ! [X2,X3,X0,X1] :
( sum(X0,add(X3,X1),add(X2,X3))
| ~ sum(X0,X1,X2) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f30302,plain,
( spl0_478
| ~ spl0_11
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1142,f1086,f72,f30300]) ).
fof(f30300,plain,
( spl0_478
<=> ! [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_478])]) ).
fof(f1142,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_11
| ~ spl0_78 ),
inference(resolution,[],[f1087,f73]) ).
fof(f30298,plain,
( spl0_477
| ~ spl0_12
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1113,f1082,f76,f30296]) ).
fof(f30296,plain,
( spl0_477
<=> ! [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_477])]) ).
fof(f1082,plain,
( spl0_77
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X1,X3),add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1113,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_12
| ~ spl0_77 ),
inference(resolution,[],[f1083,f77]) ).
fof(f1083,plain,
( ! [X2,X3,X0,X1] :
( sum(X0,add(X1,X3),add(X2,X3))
| ~ sum(X0,X1,X2) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f30294,plain,
( spl0_476
| ~ spl0_11
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1112,f1082,f72,f30292]) ).
fof(f30292,plain,
( spl0_476
<=> ! [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_476])]) ).
fof(f1112,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_11
| ~ spl0_77 ),
inference(resolution,[],[f1083,f73]) ).
fof(f30290,plain,
( spl0_475
| ~ spl0_233
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f11325,f11154,f7520,f30288]) ).
fof(f30288,plain,
( spl0_475
<=> ! [X0,X1] :
( X0 = X1
| ~ sum(additive_inverse(X1),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f7520,plain,
( spl0_233
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| X2 = X3
| ~ sum(X0,add(X1,X3),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f11154,plain,
( spl0_273
<=> ! [X0,X1] : sum(additive_inverse(X1),add(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f11325,plain,
( ! [X0,X1] :
( X0 = X1
| ~ sum(additive_inverse(X1),X0,additive_identity) )
| ~ spl0_233
| ~ spl0_273 ),
inference(resolution,[],[f11155,f7521]) ).
fof(f7521,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,add(X1,X3),X2)
| X2 = X3
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f7520]) ).
fof(f11155,plain,
( ! [X0,X1] : sum(additive_inverse(X1),add(X0,X1),X0)
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f11154]) ).
fof(f30286,plain,
( spl0_474
| ~ spl0_42
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f803,f656,f310,f30284]) ).
fof(f30284,plain,
( spl0_474
<=> ! [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_474])]) ).
fof(f656,plain,
( spl0_68
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,X2,add(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f803,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_42
| ~ spl0_68 ),
inference(resolution,[],[f657,f311]) ).
fof(f657,plain,
( ! [X2,X0,X1] :
( sum(X1,X2,add(X0,X2))
| ~ sum(additive_identity,X0,X1) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f30282,plain,
( spl0_473
| ~ spl0_44
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f802,f656,f318,f30280]) ).
fof(f30280,plain,
( spl0_473
<=> ! [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_473])]) ).
fof(f802,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_44
| ~ spl0_68 ),
inference(resolution,[],[f657,f319]) ).
fof(f30278,plain,
( spl0_472
| ~ spl0_42
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f765,f652,f310,f30276]) ).
fof(f30276,plain,
( spl0_472
<=> ! [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_472])]) ).
fof(f765,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_42
| ~ spl0_67 ),
inference(resolution,[],[f653,f311]) ).
fof(f30274,plain,
( spl0_471
| ~ spl0_44
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f764,f652,f318,f30272]) ).
fof(f30272,plain,
( spl0_471
<=> ! [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_471])]) ).
fof(f764,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_44
| ~ spl0_67 ),
inference(resolution,[],[f653,f319]) ).
fof(f29140,plain,
( spl0_470
| ~ spl0_12
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1030,f843,f76,f29138]) ).
fof(f29138,plain,
( spl0_470
<=> ! [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_470])]) ).
fof(f843,plain,
( spl0_75
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(X2,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1030,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_12
| ~ spl0_75 ),
inference(resolution,[],[f844,f77]) ).
fof(f844,plain,
( ! [X2,X0,X1] :
( sum(X0,additive_identity,add(X2,additive_inverse(X1)))
| ~ sum(X0,X1,X2) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f29136,plain,
( spl0_469
| ~ spl0_11
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1029,f843,f72,f29134]) ).
fof(f29134,plain,
( spl0_469
<=> ! [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_469])]) ).
fof(f1029,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_11
| ~ spl0_75 ),
inference(resolution,[],[f844,f73]) ).
fof(f29071,plain,
( spl0_468
| ~ spl0_12
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f999,f839,f76,f29069]) ).
fof(f29069,plain,
( spl0_468
<=> ! [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_468])]) ).
fof(f999,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_12
| ~ spl0_74 ),
inference(resolution,[],[f840,f77]) ).
fof(f29067,plain,
( spl0_467
| ~ spl0_11
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f998,f839,f72,f29065]) ).
fof(f29065,plain,
( spl0_467
<=> ! [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_467])]) ).
fof(f998,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_11
| ~ spl0_74 ),
inference(resolution,[],[f840,f73]) ).
fof(f29063,plain,
( spl0_466
| ~ spl0_12
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f956,f835,f76,f29061]) ).
fof(f29061,plain,
( spl0_466
<=> ! [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_466])]) ).
fof(f956,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_12
| ~ spl0_73 ),
inference(resolution,[],[f836,f77]) ).
fof(f29059,plain,
( spl0_465
| ~ spl0_11
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f955,f835,f72,f29057]) ).
fof(f29057,plain,
( spl0_465
<=> ! [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_465])]) ).
fof(f955,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_11
| ~ spl0_73 ),
inference(resolution,[],[f836,f73]) ).
fof(f29055,plain,
( spl0_464
| ~ spl0_12
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f917,f831,f76,f29053]) ).
fof(f29053,plain,
( spl0_464
<=> ! [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_464])]) ).
fof(f917,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_12
| ~ spl0_72 ),
inference(resolution,[],[f832,f77]) ).
fof(f29051,plain,
( spl0_463
| ~ spl0_11
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f916,f831,f72,f29049]) ).
fof(f29049,plain,
( spl0_463
<=> ! [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_463])]) ).
fof(f916,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_11
| ~ spl0_72 ),
inference(resolution,[],[f832,f73]) ).
fof(f29047,plain,
( spl0_462
| ~ spl0_12
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f875,f827,f76,f29045]) ).
fof(f29045,plain,
( spl0_462
<=> ! [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_462])]) ).
fof(f827,plain,
( spl0_71
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(additive_inverse(X2),X1),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f875,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_12
| ~ spl0_71 ),
inference(resolution,[],[f828,f77]) ).
fof(f828,plain,
( ! [X2,X0,X1] :
( sum(X0,add(additive_inverse(X2),X1),additive_identity)
| ~ sum(X0,X1,X2) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f29043,plain,
( spl0_461
| ~ spl0_11
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f874,f827,f72,f29041]) ).
fof(f29041,plain,
( spl0_461
<=> ! [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_461])]) ).
fof(f874,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_11
| ~ spl0_71 ),
inference(resolution,[],[f828,f73]) ).
fof(f29039,plain,
( spl0_460
| ~ spl0_12
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f854,f823,f76,f29037]) ).
fof(f29037,plain,
( spl0_460
<=> ! [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_460])]) ).
fof(f823,plain,
( spl0_70
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X1,additive_inverse(X2)),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f854,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_12
| ~ spl0_70 ),
inference(resolution,[],[f824,f77]) ).
fof(f824,plain,
( ! [X2,X0,X1] :
( sum(X0,add(X1,additive_inverse(X2)),additive_identity)
| ~ sum(X0,X1,X2) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f29035,plain,
( spl0_459
| ~ spl0_11
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f853,f823,f72,f29033]) ).
fof(f29033,plain,
( spl0_459
<=> ! [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_459])]) ).
fof(f853,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_11
| ~ spl0_70 ),
inference(resolution,[],[f824,f73]) ).
fof(f29031,plain,
( spl0_458
| ~ spl0_69
| ~ spl0_180
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f10792,f7636,f3884,f786,f29029]) ).
fof(f29029,plain,
( spl0_458
<=> ! [X0,X1] :
( ~ sum(X1,X0,X1)
| sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f7636,plain,
( spl0_262
<=> ! [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_262])]) ).
fof(f10792,plain,
( ! [X0,X1] :
( ~ sum(X1,X0,X1)
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_69
| ~ spl0_180
| ~ spl0_262 ),
inference(forward_demodulation,[],[f10683,f787]) ).
fof(f10683,plain,
( ! [X0,X1] :
( sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(additive_inverse(X1)),X0,X1) )
| ~ spl0_180
| ~ spl0_262 ),
inference(superposition,[],[f7637,f3885]) ).
fof(f7637,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,additive_identity,add(add(X1,additive_inverse(X2)),X0))
| ~ sum(X0,X1,X2) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f7636]) ).
fof(f29027,plain,
( spl0_457
| ~ spl0_42
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f564,f427,f310,f29025]) ).
fof(f29025,plain,
( spl0_457
<=> ! [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_457])]) ).
fof(f564,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_42
| ~ spl0_58 ),
inference(resolution,[],[f428,f311]) ).
fof(f29023,plain,
( spl0_456
| ~ spl0_44
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f563,f427,f318,f29021]) ).
fof(f29021,plain,
( spl0_456
<=> ! [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_456])]) ).
fof(f563,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_44
| ~ spl0_58 ),
inference(resolution,[],[f428,f319]) ).
fof(f28060,plain,
( spl0_455
| ~ spl0_7
| ~ spl0_248
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f25833,f25830,f7580,f45,f28058]) ).
fof(f28058,plain,
( spl0_455
<=> ! [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_455])]) ).
fof(f25830,plain,
( spl0_448
<=> ! [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_448])]) ).
fof(f25833,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_248
| ~ spl0_448 ),
inference(forward_demodulation,[],[f25831,f8761]) ).
fof(f25831,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_448 ),
inference(avatar_component_clause,[],[f25830]) ).
fof(f28056,plain,
( spl0_454
| ~ spl0_7
| ~ spl0_248
| ~ spl0_447 ),
inference(avatar_split_clause,[],[f25828,f25825,f7580,f45,f28054]) ).
fof(f28054,plain,
( spl0_454
<=> ! [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_454])]) ).
fof(f25825,plain,
( spl0_447
<=> ! [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_447])]) ).
fof(f25828,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_248
| ~ spl0_447 ),
inference(forward_demodulation,[],[f25826,f8761]) ).
fof(f25826,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_447 ),
inference(avatar_component_clause,[],[f25825]) ).
fof(f28052,plain,
( spl0_453
| ~ spl0_132
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f6603,f5162,f2061,f28050]) ).
fof(f28050,plain,
( spl0_453
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = additive_inverse(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f2061,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = additive_inverse(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f5162,plain,
( spl0_208
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,X3),X0,add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f6603,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = additive_inverse(X0) )
| ~ spl0_132
| ~ spl0_208 ),
inference(resolution,[],[f5163,f2062]) ).
fof(f2062,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = additive_inverse(X1) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f5163,plain,
( ! [X2,X3,X0,X1] :
( sum(add(X1,X3),X0,add(X2,X3))
| ~ sum(X0,X1,X2) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f5162]) ).
fof(f28048,plain,
( spl0_452
| ~ spl0_7
| ~ spl0_248
| ~ spl0_446 ),
inference(avatar_split_clause,[],[f25823,f25820,f7580,f45,f28046]) ).
fof(f28046,plain,
( spl0_452
<=> ! [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_452])]) ).
fof(f25820,plain,
( spl0_446
<=> ! [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_446])]) ).
fof(f25823,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_248
| ~ spl0_446 ),
inference(forward_demodulation,[],[f25821,f8761]) ).
fof(f25821,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_446 ),
inference(avatar_component_clause,[],[f25820]) ).
fof(f27861,plain,
( spl0_451
| ~ spl0_7
| ~ spl0_248
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f25814,f25810,f7580,f45,f27859]) ).
fof(f27859,plain,
( spl0_451
<=> ! [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_451])]) ).
fof(f25810,plain,
( spl0_444
<=> ! [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_444])]) ).
fof(f25814,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_248
| ~ spl0_444 ),
inference(forward_demodulation,[],[f25813,f8761]) ).
fof(f25813,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_248
| ~ spl0_444 ),
inference(forward_demodulation,[],[f25811,f8761]) ).
fof(f25811,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_444 ),
inference(avatar_component_clause,[],[f25810]) ).
fof(f27640,plain,
( spl0_450
| ~ spl0_7
| ~ spl0_248
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f25788,f25784,f7580,f45,f27638]) ).
fof(f27638,plain,
( spl0_450
<=> ! [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_450])]) ).
fof(f25784,plain,
( spl0_438
<=> ! [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_438])]) ).
fof(f25788,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_248
| ~ spl0_438 ),
inference(forward_demodulation,[],[f25787,f8761]) ).
fof(f25787,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_248
| ~ spl0_438 ),
inference(forward_demodulation,[],[f25785,f8761]) ).
fof(f25785,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_438 ),
inference(avatar_component_clause,[],[f25784]) ).
fof(f27636,plain,
( spl0_449
| ~ spl0_7
| ~ spl0_248
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f25782,f25779,f7580,f45,f27634]) ).
fof(f27634,plain,
( spl0_449
<=> ! [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_449])]) ).
fof(f25779,plain,
( spl0_437
<=> ! [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_437])]) ).
fof(f25782,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_248
| ~ spl0_437 ),
inference(forward_demodulation,[],[f25780,f8761]) ).
fof(f25780,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_437 ),
inference(avatar_component_clause,[],[f25779]) ).
fof(f25832,plain,
( spl0_448
| ~ spl0_78
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1351,f1280,f1086,f25830]) ).
fof(f1280,plain,
( spl0_85
<=> ! [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_85])]) ).
fof(f1351,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_78
| ~ spl0_85 ),
inference(resolution,[],[f1281,f1087]) ).
fof(f1281,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,add(X3,X2)) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f25827,plain,
( spl0_447
| ~ spl0_77
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1350,f1280,f1082,f25825]) ).
fof(f1350,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_77
| ~ spl0_85 ),
inference(resolution,[],[f1281,f1083]) ).
fof(f25822,plain,
( spl0_446
| ~ spl0_80
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1347,f1280,f1094,f25820]) ).
fof(f1347,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_80
| ~ spl0_85 ),
inference(resolution,[],[f1281,f1095]) ).
fof(f25818,plain,
( spl0_445
| ~ spl0_79
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1346,f1280,f1090,f25816]) ).
fof(f25816,plain,
( spl0_445
<=> ! [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_445])]) ).
fof(f1346,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_79
| ~ spl0_85 ),
inference(resolution,[],[f1281,f1091]) ).
fof(f25812,plain,
( spl0_444
| ~ spl0_80
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1319,f1276,f1094,f25810]) ).
fof(f1276,plain,
( spl0_84
<=> ! [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_84])]) ).
fof(f1319,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_80
| ~ spl0_84 ),
inference(resolution,[],[f1277,f1095]) ).
fof(f1277,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X2,X4)
| sum(X4,X1,X3) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f25808,plain,
( spl0_443
| ~ spl0_5
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f8563,f7556,f37,f25806]) ).
fof(f25806,plain,
( spl0_443
<=> ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f7556,plain,
( spl0_242
<=> ! [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_242])]) ).
fof(f8563,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_5
| ~ spl0_242 ),
inference(resolution,[],[f7557,f38]) ).
fof(f7557,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X2),X3)
| ~ sum(X0,X1,X2)
| sum(X3,X1,additive_identity) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f7556]) ).
fof(f25804,plain,
( spl0_442
| ~ spl0_79
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1318,f1276,f1090,f25802]) ).
fof(f25802,plain,
( spl0_442
<=> ! [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_442])]) ).
fof(f1318,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_79
| ~ spl0_84 ),
inference(resolution,[],[f1277,f1091]) ).
fof(f25800,plain,
( spl0_441
| ~ spl0_39
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1274,f1106,f285,f25798]) ).
fof(f25798,plain,
( spl0_441
<=> ! [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_441])]) ).
fof(f285,plain,
( spl0_39
<=> ! [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_39])]) ).
fof(f1274,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_39
| ~ spl0_83 ),
inference(resolution,[],[f1107,f286]) ).
fof(f286,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X2),X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f25796,plain,
( spl0_440
| ~ spl0_38
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1271,f1106,f281,f25794]) ).
fof(f25794,plain,
( spl0_440
<=> ! [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_440])]) ).
fof(f281,plain,
( spl0_38
<=> ! [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_38])]) ).
fof(f1271,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_38
| ~ spl0_83 ),
inference(resolution,[],[f1107,f282]) ).
fof(f282,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,multiply(X2,X3)) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f25792,plain,
( spl0_439
| ~ spl0_38
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1260,f1098,f281,f25790]) ).
fof(f25790,plain,
( spl0_439
<=> ! [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_439])]) ).
fof(f1260,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_38
| ~ spl0_81 ),
inference(resolution,[],[f1099,f282]) ).
fof(f25786,plain,
( spl0_438
| ~ spl0_37
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1225,f1094,f277,f25784]) ).
fof(f277,plain,
( spl0_37
<=> ! [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_37])]) ).
fof(f1225,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_37
| ~ spl0_80 ),
inference(resolution,[],[f1095,f278]) ).
fof(f278,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X1,X4)
| sum(X4,X2,X3) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f25781,plain,
( spl0_437
| ~ spl0_36
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1217,f1094,f273,f25779]) ).
fof(f273,plain,
( spl0_36
<=> ! [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_36])]) ).
fof(f1217,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_36
| ~ spl0_80 ),
inference(resolution,[],[f1095,f274]) ).
fof(f274,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X1,X3,X4)
| ~ sum(X0,X1,X2)
| sum(X0,X4,add(X2,X3)) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f25777,plain,
( spl0_436
| ~ spl0_37
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1184,f1090,f277,f25775]) ).
fof(f25775,plain,
( spl0_436
<=> ! [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_436])]) ).
fof(f1184,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_37
| ~ spl0_79 ),
inference(resolution,[],[f1091,f278]) ).
fof(f25773,plain,
( spl0_435
| ~ spl0_36
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1176,f1090,f273,f25771]) ).
fof(f25771,plain,
( spl0_435
<=> ! [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_435])]) ).
fof(f1176,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_36
| ~ spl0_79 ),
inference(resolution,[],[f1091,f274]) ).
fof(f25769,plain,
( spl0_434
| ~ spl0_36
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1147,f1086,f273,f25767]) ).
fof(f25767,plain,
( spl0_434
<=> ! [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_434])]) ).
fof(f1147,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_36
| ~ spl0_78 ),
inference(resolution,[],[f1087,f274]) ).
fof(f25765,plain,
( spl0_433
| ~ spl0_36
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1117,f1082,f273,f25763]) ).
fof(f25763,plain,
( spl0_433
<=> ! [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_433])]) ).
fof(f1117,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_36
| ~ spl0_77 ),
inference(resolution,[],[f1083,f274]) ).
fof(f25568,plain,
( spl0_432
| ~ spl0_12
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f792,f656,f76,f25566]) ).
fof(f25566,plain,
( spl0_432
<=> ! [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_432])]) ).
fof(f792,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_12
| ~ spl0_68 ),
inference(resolution,[],[f657,f77]) ).
fof(f25564,plain,
( spl0_431
| ~ spl0_11
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f791,f656,f72,f25562]) ).
fof(f25562,plain,
( spl0_431
<=> ! [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_431])]) ).
fof(f791,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_11
| ~ spl0_68 ),
inference(resolution,[],[f657,f73]) ).
fof(f25560,plain,
( spl0_430
| ~ spl0_12
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f754,f652,f76,f25558]) ).
fof(f25558,plain,
( spl0_430
<=> ! [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_430])]) ).
fof(f754,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_12
| ~ spl0_67 ),
inference(resolution,[],[f653,f77]) ).
fof(f25556,plain,
( spl0_429
| ~ spl0_11
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f753,f652,f72,f25554]) ).
fof(f25554,plain,
( spl0_429
<=> ! [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_429])]) ).
fof(f753,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_11
| ~ spl0_67 ),
inference(resolution,[],[f653,f73]) ).
fof(f25552,plain,
( spl0_428
| ~ spl0_12
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f734,f638,f76,f25550]) ).
fof(f25550,plain,
( spl0_428
<=> ! [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_428])]) ).
fof(f638,plain,
( spl0_64
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,X0),additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f734,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_12
| ~ spl0_64 ),
inference(resolution,[],[f639,f77]) ).
fof(f639,plain,
( ! [X2,X0,X1] :
( sum(add(X1,X0),additive_identity,X2)
| ~ sum(X0,X1,X2) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f25548,plain,
( spl0_427
| ~ spl0_11
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f733,f638,f72,f25546]) ).
fof(f25546,plain,
( spl0_427
<=> ! [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_427])]) ).
fof(f733,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_11
| ~ spl0_64 ),
inference(resolution,[],[f639,f73]) ).
fof(f25544,plain,
( spl0_426
| ~ spl0_12
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f709,f607,f76,f25542]) ).
fof(f25542,plain,
( spl0_426
<=> ! [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_426])]) ).
fof(f607,plain,
( spl0_63
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X0,X1),additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f709,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_12
| ~ spl0_63 ),
inference(resolution,[],[f608,f77]) ).
fof(f608,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),additive_identity,X2)
| ~ sum(X0,X1,X2) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f25540,plain,
( spl0_425
| ~ spl0_11
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f708,f607,f72,f25538]) ).
fof(f25538,plain,
( spl0_425
<=> ! [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_425])]) ).
fof(f708,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_11
| ~ spl0_63 ),
inference(resolution,[],[f608,f73]) ).
fof(f25536,plain,
( spl0_424
| ~ spl0_12
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f684,f603,f76,f25534]) ).
fof(f25534,plain,
( spl0_424
<=> ! [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_424])]) ).
fof(f603,plain,
( spl0_62
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X2,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f684,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_12
| ~ spl0_62 ),
inference(resolution,[],[f604,f77]) ).
fof(f604,plain,
( ! [X2,X0,X1] :
( sum(X0,add(X2,X1),X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f25532,plain,
( spl0_423
| ~ spl0_11
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f683,f603,f72,f25530]) ).
fof(f25530,plain,
( spl0_423
<=> ! [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_423])]) ).
fof(f683,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_11
| ~ spl0_62 ),
inference(resolution,[],[f604,f73]) ).
fof(f25338,plain,
( spl0_422
| ~ spl0_12
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f663,f599,f76,f25336]) ).
fof(f25336,plain,
( spl0_422
<=> ! [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_422])]) ).
fof(f599,plain,
( spl0_61
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X1,X2),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f663,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_12
| ~ spl0_61 ),
inference(resolution,[],[f600,f77]) ).
fof(f600,plain,
( ! [X2,X0,X1] :
( sum(X0,add(X1,X2),X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f25334,plain,
( spl0_421
| ~ spl0_11
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f662,f599,f72,f25332]) ).
fof(f25332,plain,
( spl0_421
<=> ! [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_421])]) ).
fof(f662,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_11
| ~ spl0_61 ),
inference(resolution,[],[f600,f73]) ).
fof(f24786,plain,
( spl0_420
| ~ spl0_7
| ~ spl0_248
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f22351,f22348,f7580,f45,f24784]) ).
fof(f24784,plain,
( spl0_420
<=> ! [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_420])]) ).
fof(f22348,plain,
( spl0_416
<=> ! [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_416])]) ).
fof(f22351,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_248
| ~ spl0_416 ),
inference(forward_demodulation,[],[f22349,f8761]) ).
fof(f22349,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_416 ),
inference(avatar_component_clause,[],[f22348]) ).
fof(f24782,plain,
( spl0_419
| ~ spl0_7
| ~ spl0_248
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f22346,f22343,f7580,f45,f24780]) ).
fof(f24780,plain,
( spl0_419
<=> ! [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_419])]) ).
fof(f22343,plain,
( spl0_415
<=> ! [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_415])]) ).
fof(f22346,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_248
| ~ spl0_415 ),
inference(forward_demodulation,[],[f22344,f8761]) ).
fof(f22344,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_415 ),
inference(avatar_component_clause,[],[f22343]) ).
fof(f24167,plain,
( spl0_418
| ~ spl0_7
| ~ spl0_248
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f22325,f22322,f7580,f45,f24165]) ).
fof(f24165,plain,
( spl0_418
<=> ! [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_418])]) ).
fof(f22322,plain,
( spl0_410
<=> ! [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_410])]) ).
fof(f22325,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_248
| ~ spl0_410 ),
inference(forward_demodulation,[],[f22323,f8761]) ).
fof(f22323,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_410 ),
inference(avatar_component_clause,[],[f22322]) ).
fof(f24163,plain,
( spl0_417
| ~ spl0_7
| ~ spl0_248
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f22320,f22317,f7580,f45,f24161]) ).
fof(f24161,plain,
( spl0_417
<=> ! [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_417])]) ).
fof(f22317,plain,
( spl0_409
<=> ! [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_409])]) ).
fof(f22320,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_248
| ~ spl0_409 ),
inference(forward_demodulation,[],[f22318,f8761]) ).
fof(f22318,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_409 ),
inference(avatar_component_clause,[],[f22317]) ).
fof(f22350,plain,
( spl0_416
| ~ spl0_71
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1341,f1280,f827,f22348]) ).
fof(f1341,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_71
| ~ spl0_85 ),
inference(resolution,[],[f1281,f828]) ).
fof(f22345,plain,
( spl0_415
| ~ spl0_70
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1340,f1280,f823,f22343]) ).
fof(f1340,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_70
| ~ spl0_85 ),
inference(resolution,[],[f1281,f824]) ).
fof(f22341,plain,
( spl0_414
| ~ spl0_73
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1336,f1280,f835,f22339]) ).
fof(f22339,plain,
( spl0_414
<=> ! [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_414])]) ).
fof(f1336,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_73
| ~ spl0_85 ),
inference(resolution,[],[f1281,f836]) ).
fof(f22337,plain,
( spl0_413
| ~ spl0_72
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1335,f1280,f831,f22335]) ).
fof(f22335,plain,
( spl0_413
<=> ! [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_413])]) ).
fof(f1335,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_72
| ~ spl0_85 ),
inference(resolution,[],[f1281,f832]) ).
fof(f22333,plain,
( spl0_412
| ~ spl0_73
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1308,f1276,f835,f22331]) ).
fof(f22331,plain,
( spl0_412
<=> ! [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_412])]) ).
fof(f1308,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_73
| ~ spl0_84 ),
inference(resolution,[],[f1277,f836]) ).
fof(f22329,plain,
( spl0_411
| ~ spl0_72
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1307,f1276,f831,f22327]) ).
fof(f22327,plain,
( spl0_411
<=> ! [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_411])]) ).
fof(f1307,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_72
| ~ spl0_84 ),
inference(resolution,[],[f1277,f832]) ).
fof(f22324,plain,
( spl0_410
| ~ spl0_32
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1229,f1094,f234,f22322]) ).
fof(f234,plain,
( spl0_32
<=> ! [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_32])]) ).
fof(f1229,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_32
| ~ spl0_80 ),
inference(resolution,[],[f1095,f235]) ).
fof(f235,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X1,additive_inverse(X2),X3)
| ~ sum(X0,X1,X2)
| sum(X0,X3,additive_identity) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f22319,plain,
( spl0_409
| ~ spl0_33
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1228,f1094,f238,f22317]) ).
fof(f238,plain,
( spl0_33
<=> ! [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_33])]) ).
fof(f1228,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_33
| ~ spl0_80 ),
inference(resolution,[],[f1095,f239]) ).
fof(f239,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X2),X3)
| ~ sum(X0,additive_identity,X1)
| sum(X3,X2,X1) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f22315,plain,
( spl0_408
| ~ spl0_32
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1188,f1090,f234,f22313]) ).
fof(f22313,plain,
( spl0_408
<=> ! [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_408])]) ).
fof(f1188,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_32
| ~ spl0_79 ),
inference(resolution,[],[f1091,f235]) ).
fof(f22311,plain,
( spl0_407
| ~ spl0_33
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1187,f1090,f238,f22309]) ).
fof(f22309,plain,
( spl0_407
<=> ! [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_407])]) ).
fof(f1187,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_33
| ~ spl0_79 ),
inference(resolution,[],[f1091,f239]) ).
fof(f22255,plain,
( spl0_406
| ~ spl0_37
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f971,f835,f277,f22253]) ).
fof(f22253,plain,
( spl0_406
<=> ! [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_406])]) ).
fof(f971,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_37
| ~ spl0_73 ),
inference(resolution,[],[f836,f278]) ).
fof(f22251,plain,
( spl0_405
| ~ spl0_36
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f960,f835,f273,f22249]) ).
fof(f22249,plain,
( spl0_405
<=> ! [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_405])]) ).
fof(f960,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_36
| ~ spl0_73 ),
inference(resolution,[],[f836,f274]) ).
fof(f22247,plain,
( spl0_404
| ~ spl0_37
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f932,f831,f277,f22245]) ).
fof(f22245,plain,
( spl0_404
<=> ! [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_404])]) ).
fof(f932,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_37
| ~ spl0_72 ),
inference(resolution,[],[f832,f278]) ).
fof(f22243,plain,
( spl0_403
| ~ spl0_36
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f921,f831,f273,f22241]) ).
fof(f22241,plain,
( spl0_403
<=> ! [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_403])]) ).
fof(f921,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_36
| ~ spl0_72 ),
inference(resolution,[],[f832,f274]) ).
fof(f22239,plain,
( spl0_402
| ~ spl0_36
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f879,f827,f273,f22237]) ).
fof(f22237,plain,
( spl0_402
<=> ! [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_402])]) ).
fof(f879,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_36
| ~ spl0_71 ),
inference(resolution,[],[f828,f274]) ).
fof(f22235,plain,
( spl0_401
| ~ spl0_36
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f858,f823,f273,f22233]) ).
fof(f22233,plain,
( spl0_401
<=> ! [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_401])]) ).
fof(f858,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_36
| ~ spl0_70 ),
inference(resolution,[],[f824,f274]) ).
fof(f22231,plain,
( spl0_400
| ~ spl0_12
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f585,f431,f76,f22229]) ).
fof(f22229,plain,
( spl0_400
<=> ! [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_400])]) ).
fof(f585,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_12
| ~ spl0_59 ),
inference(resolution,[],[f432,f77]) ).
fof(f22227,plain,
( spl0_399
| ~ spl0_11
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f584,f431,f72,f22225]) ).
fof(f22225,plain,
( spl0_399
<=> ! [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_399])]) ).
fof(f584,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_11
| ~ spl0_59 ),
inference(resolution,[],[f432,f73]) ).
fof(f22223,plain,
( spl0_398
| ~ spl0_12
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f550,f427,f76,f22221]) ).
fof(f22221,plain,
( spl0_398
<=> ! [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_398])]) ).
fof(f550,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_12
| ~ spl0_58 ),
inference(resolution,[],[f428,f77]) ).
fof(f22219,plain,
( spl0_397
| ~ spl0_11
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f549,f427,f72,f22217]) ).
fof(f22217,plain,
( spl0_397
<=> ! [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_397])]) ).
fof(f549,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_11
| ~ spl0_58 ),
inference(resolution,[],[f428,f73]) ).
fof(f22192,plain,
( spl0_396
| ~ spl0_12
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f533,f423,f76,f22190]) ).
fof(f22190,plain,
( spl0_396
<=> ! [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_396])]) ).
fof(f533,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_12
| ~ spl0_57 ),
inference(resolution,[],[f424,f77]) ).
fof(f22188,plain,
( spl0_395
| ~ spl0_11
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f532,f423,f72,f22186]) ).
fof(f22186,plain,
( spl0_395
<=> ! [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_395])]) ).
fof(f532,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_11
| ~ spl0_57 ),
inference(resolution,[],[f424,f73]) ).
fof(f22184,plain,
( spl0_394
| ~ spl0_12
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f451,f403,f76,f22182]) ).
fof(f22182,plain,
( spl0_394
<=> ! [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_394])]) ).
fof(f403,plain,
( spl0_52
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,additive_identity,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f451,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_12
| ~ spl0_52 ),
inference(resolution,[],[f404,f77]) ).
fof(f404,plain,
( ! [X0,X1] :
( sum(X0,additive_identity,additive_inverse(X1))
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f22180,plain,
( spl0_393
| ~ spl0_11
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f450,f403,f72,f22178]) ).
fof(f22178,plain,
( spl0_393
<=> ! [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_393])]) ).
fof(f450,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_11
| ~ spl0_52 ),
inference(resolution,[],[f404,f73]) ).
fof(f21583,plain,
( spl0_392
| ~ spl0_7
| ~ spl0_248
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f19727,f19724,f7580,f45,f21581]) ).
fof(f21581,plain,
( spl0_392
<=> ! [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_392])]) ).
fof(f19724,plain,
( spl0_385
<=> ! [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_385])]) ).
fof(f19727,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_248
| ~ spl0_385 ),
inference(forward_demodulation,[],[f19725,f8761]) ).
fof(f19725,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X4,X3),X2))
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f19724]) ).
fof(f21579,plain,
( spl0_391
| ~ spl0_7
| ~ spl0_248
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f19722,f19719,f7580,f45,f21577]) ).
fof(f21577,plain,
( spl0_391
<=> ! [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_391])]) ).
fof(f19719,plain,
( spl0_384
<=> ! [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_384])]) ).
fof(f19722,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_248
| ~ spl0_384 ),
inference(forward_demodulation,[],[f19720,f8761]) ).
fof(f19720,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X3,X4),X2))
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f19719]) ).
fof(f21341,plain,
( spl0_390
| ~ spl0_7
| ~ spl0_248
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f19709,f19706,f7580,f45,f21339]) ).
fof(f21339,plain,
( spl0_390
<=> ! [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_390])]) ).
fof(f19706,plain,
( spl0_381
<=> ! [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_381])]) ).
fof(f19709,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_248
| ~ spl0_381 ),
inference(forward_demodulation,[],[f19707,f8761]) ).
fof(f19707,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(add(X1,X3),X0),additive_identity,X4) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f19706]) ).
fof(f21337,plain,
( spl0_389
| ~ spl0_7
| ~ spl0_248
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f19704,f19701,f7580,f45,f21335]) ).
fof(f21335,plain,
( spl0_389
<=> ! [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_389])]) ).
fof(f19701,plain,
( spl0_380
<=> ! [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_380])]) ).
fof(f19704,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_248
| ~ spl0_380 ),
inference(forward_demodulation,[],[f19702,f8761]) ).
fof(f19702,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,add(add(X1,X4),X0),X4) )
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f19701]) ).
fof(f21021,plain,
( spl0_388
| ~ spl0_2
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f5735,f5104,f25,f21019]) ).
fof(f21019,plain,
( spl0_388
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f5735,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(X1,X0,X1) )
| ~ spl0_2
| ~ spl0_194 ),
inference(resolution,[],[f5105,f26]) ).
fof(f19735,plain,
( spl0_387
| ~ spl0_67
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1345,f1280,f652,f19733]) ).
fof(f19733,plain,
( spl0_387
<=> ! [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_387])]) ).
fof(f1345,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(X4,X2))
| ~ sum(X1,additive_identity,X3) )
| ~ spl0_67
| ~ spl0_85 ),
inference(resolution,[],[f1281,f653]) ).
fof(f19731,plain,
( spl0_386
| ~ spl0_68
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1344,f1280,f656,f19729]) ).
fof(f19729,plain,
( spl0_386
<=> ! [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_386])]) ).
fof(f1344,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X4),add(X4,X2))
| ~ sum(additive_identity,X3,X1) )
| ~ spl0_68
| ~ spl0_85 ),
inference(resolution,[],[f1281,f657]) ).
fof(f19726,plain,
( spl0_385
| ~ spl0_61
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1332,f1280,f599,f19724]) ).
fof(f1332,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X4,X3),X2))
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_61
| ~ spl0_85 ),
inference(resolution,[],[f1281,f600]) ).
fof(f19721,plain,
( spl0_384
| ~ spl0_62
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1330,f1280,f603,f19719]) ).
fof(f1330,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(add(X3,X4),X2))
| ~ sum(X1,X4,additive_identity) )
| ~ spl0_62
| ~ spl0_85 ),
inference(resolution,[],[f1281,f604]) ).
fof(f19717,plain,
( spl0_383
| ~ spl0_67
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1317,f1276,f652,f19715]) ).
fof(f19715,plain,
( spl0_383
<=> ! [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_383])]) ).
fof(f1317,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X4,add(X3,X1)))
| ~ sum(X0,additive_identity,X4) )
| ~ spl0_67
| ~ spl0_84 ),
inference(resolution,[],[f1277,f653]) ).
fof(f19713,plain,
( spl0_382
| ~ spl0_68
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1316,f1276,f656,f19711]) ).
fof(f19711,plain,
( spl0_382
<=> ! [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_382])]) ).
fof(f1316,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X4,add(X3,X1)))
| ~ sum(additive_identity,X4,X0) )
| ~ spl0_68
| ~ spl0_84 ),
inference(resolution,[],[f1277,f657]) ).
fof(f19708,plain,
( spl0_381
| ~ spl0_30
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1216,f1094,f194,f19706]) ).
fof(f194,plain,
( spl0_30
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1216,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(add(X1,X3),X0),additive_identity,X4) )
| ~ spl0_30
| ~ spl0_80 ),
inference(resolution,[],[f1095,f195]) ).
fof(f195,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| sum(X3,additive_identity,X2) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f19703,plain,
( spl0_380
| ~ spl0_27
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1215,f1094,f182,f19701]) ).
fof(f182,plain,
( spl0_27
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| sum(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1215,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,add(add(X1,X4),X0),X4) )
| ~ spl0_27
| ~ spl0_80 ),
inference(resolution,[],[f1095,f183]) ).
fof(f183,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X1,X2,X3)
| ~ sum(X0,X1,additive_identity)
| sum(X0,X3,X2) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f19663,plain,
( spl0_379
| ~ spl0_30
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1175,f1090,f194,f19661]) ).
fof(f19661,plain,
( spl0_379
<=> ! [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_379])]) ).
fof(f1175,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(X0,add(X1,X3)),additive_identity,X4) )
| ~ spl0_30
| ~ spl0_79 ),
inference(resolution,[],[f1091,f195]) ).
fof(f19659,plain,
( spl0_378
| ~ spl0_27
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1174,f1090,f182,f19657]) ).
fof(f19657,plain,
( spl0_378
<=> ! [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_378])]) ).
fof(f1174,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,add(X0,add(X1,X4)),X4) )
| ~ spl0_27
| ~ spl0_79 ),
inference(resolution,[],[f1091,f183]) ).
fof(f19655,plain,
( spl0_377
| ~ spl0_30
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1146,f1086,f194,f19653]) ).
fof(f19653,plain,
( spl0_377
<=> ! [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_377])]) ).
fof(f1146,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X3,X1),X4)
| sum(add(X2,X3),additive_identity,X4) )
| ~ spl0_30
| ~ spl0_78 ),
inference(resolution,[],[f1087,f195]) ).
fof(f19651,plain,
( spl0_376
| ~ spl0_27
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1145,f1086,f182,f19649]) ).
fof(f19649,plain,
( spl0_376
<=> ! [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_376])]) ).
fof(f1145,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,add(X2,X4),add(X4,X1)) )
| ~ spl0_27
| ~ spl0_78 ),
inference(resolution,[],[f1087,f183]) ).
fof(f19647,plain,
( spl0_375
| ~ spl0_30
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1116,f1082,f194,f19645]) ).
fof(f19645,plain,
( spl0_375
<=> ! [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_375])]) ).
fof(f1116,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X1,X3),X4)
| sum(add(X2,X3),additive_identity,X4) )
| ~ spl0_30
| ~ spl0_77 ),
inference(resolution,[],[f1083,f195]) ).
fof(f19643,plain,
( spl0_374
| ~ spl0_27
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1115,f1082,f182,f19641]) ).
fof(f19641,plain,
( spl0_374
<=> ! [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_374])]) ).
fof(f1115,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,add(X2,X4),add(X1,X4)) )
| ~ spl0_27
| ~ spl0_77 ),
inference(resolution,[],[f1083,f183]) ).
fof(f19639,plain,
( spl0_373
| ~ spl0_34
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1023,f843,f242,f19637]) ).
fof(f19637,plain,
( spl0_373
<=> ! [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_373])]) ).
fof(f242,plain,
( spl0_34
<=> ! [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_34])]) ).
fof(f1023,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_34
| ~ spl0_75 ),
inference(resolution,[],[f844,f243]) ).
fof(f243,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),X1) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f19635,plain,
( spl0_372
| ~ spl0_34
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f992,f839,f242,f19633]) ).
fof(f19633,plain,
( spl0_372
<=> ! [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_372])]) ).
fof(f992,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_34
| ~ spl0_74 ),
inference(resolution,[],[f840,f243]) ).
fof(f19631,plain,
( spl0_371
| ~ spl0_31
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f962,f835,f230,f19629]) ).
fof(f19629,plain,
( spl0_371
<=> ! [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_371])]) ).
fof(f230,plain,
( spl0_31
<=> ! [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_31])]) ).
fof(f962,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_31
| ~ spl0_73 ),
inference(resolution,[],[f836,f231]) ).
fof(f231,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| ~ sum(X1,X2,X3)
| sum(X0,X3,additive_identity) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f19627,plain,
( spl0_370
| ~ spl0_31
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f923,f831,f230,f19625]) ).
fof(f19625,plain,
( spl0_370
<=> ! [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_370])]) ).
fof(f923,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_31
| ~ spl0_72 ),
inference(resolution,[],[f832,f231]) ).
fof(f19467,plain,
( spl0_369
| ~ spl0_37
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f804,f656,f277,f19465]) ).
fof(f19465,plain,
( spl0_369
<=> ! [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_369])]) ).
fof(f804,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(X3,X4,add(X0,add(X2,X4))) )
| ~ spl0_37
| ~ spl0_68 ),
inference(resolution,[],[f657,f278]) ).
fof(f19463,plain,
( spl0_368
| ~ spl0_36
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f796,f656,f273,f19461]) ).
fof(f19461,plain,
( spl0_368
<=> ! [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_368])]) ).
fof(f796,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3)
| sum(X2,add(X0,X4),add(X3,X4)) )
| ~ spl0_36
| ~ spl0_68 ),
inference(resolution,[],[f657,f274]) ).
fof(f19459,plain,
( spl0_367
| ~ spl0_37
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f766,f652,f277,f19457]) ).
fof(f19457,plain,
( spl0_367
<=> ! [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_367])]) ).
fof(f766,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,X4,add(X1,add(X2,X4))) )
| ~ spl0_37
| ~ spl0_67 ),
inference(resolution,[],[f653,f278]) ).
fof(f19455,plain,
( spl0_366
| ~ spl0_36
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f758,f652,f273,f19453]) ).
fof(f19453,plain,
( spl0_366
<=> ! [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_366])]) ).
fof(f758,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,add(X1,X4),add(X3,X4)) )
| ~ spl0_36
| ~ spl0_67 ),
inference(resolution,[],[f653,f274]) ).
fof(f19451,plain,
( spl0_365
| ~ spl0_36
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f688,f603,f273,f19449]) ).
fof(f19449,plain,
( spl0_365
<=> ! [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_365])]) ).
fof(f688,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,X4,add(X3,add(X4,X1))) )
| ~ spl0_36
| ~ spl0_62 ),
inference(resolution,[],[f604,f274]) ).
fof(f19447,plain,
( spl0_364
| ~ spl0_36
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f667,f599,f273,f19445]) ).
fof(f19445,plain,
( spl0_364
<=> ! [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_364])]) ).
fof(f667,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,X4,add(X3,add(X1,X4))) )
| ~ spl0_36
| ~ spl0_61 ),
inference(resolution,[],[f600,f274]) ).
fof(f18108,plain,
( spl0_363
| ~ spl0_7
| ~ spl0_248
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f14805,f14802,f7580,f45,f18106]) ).
fof(f18106,plain,
( spl0_363
<=> ! [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_363])]) ).
fof(f14802,plain,
( spl0_351
<=> ! [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_351])]) ).
fof(f14805,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_248
| ~ spl0_351 ),
inference(forward_demodulation,[],[f14803,f8761]) ).
fof(f14803,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(add(X2,X3)))
| sum(add(add(X1,X2),X0),X3,additive_identity) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f14802]) ).
fof(f18104,plain,
( spl0_362
| ~ spl0_7
| ~ spl0_248
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f14800,f14797,f7580,f45,f18102]) ).
fof(f18102,plain,
( spl0_362
<=> ! [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_362])]) ).
fof(f14797,plain,
( spl0_350
<=> ! [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_350])]) ).
fof(f14800,plain,
( ! [X2,X3,X0,X1,X4] :
( add(X1,add(X4,X0)) = X3
| ~ sum(X0,X1,X2)
| ~ sum(X2,X4,X3) )
| ~ spl0_7
| ~ spl0_248
| ~ spl0_350 ),
inference(forward_demodulation,[],[f14798,f8761]) ).
fof(f14798,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(add(X1,X4),X0) = X3
| ~ sum(X2,X4,X3) )
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f14797]) ).
fof(f17509,plain,
( spl0_361
| ~ spl0_7
| ~ spl0_248
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f14779,f14776,f7580,f45,f17507]) ).
fof(f17507,plain,
( spl0_361
<=> ! [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_361])]) ).
fof(f14776,plain,
( spl0_345
<=> ! [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_345])]) ).
fof(f14779,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_248
| ~ spl0_345 ),
inference(forward_demodulation,[],[f14777,f8761]) ).
fof(f14777,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X1,X3)
| sum(add(X3,X0),X2,additive_identity) )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f14776]) ).
fof(f17428,plain,
( spl0_360
| ~ spl0_7
| ~ spl0_248
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f14770,f14767,f7580,f45,f17426]) ).
fof(f17426,plain,
( spl0_360
<=> ! [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_360])]) ).
fof(f14767,plain,
( spl0_343
<=> ! [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_343])]) ).
fof(f14770,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_248
| ~ spl0_343 ),
inference(forward_demodulation,[],[f14768,f8761]) ).
fof(f14768,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X0,X3)
| sum(add(X3,X1),X2,additive_identity) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f14767]) ).
fof(f14837,plain,
( spl0_359
| ~ spl0_47
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f14520,f12223,f358,f14835]) ).
fof(f14835,plain,
( spl0_359
<=> ! [X0,X1] : sum(X1,add(additive_inverse(X1),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f12223,plain,
( spl0_314
<=> ! [X0,X1] : sum(X0,add(X1,additive_inverse(X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f14520,plain,
( ! [X0,X1] : sum(X1,add(additive_inverse(X1),X0),X0)
| ~ spl0_47
| ~ spl0_314 ),
inference(superposition,[],[f12224,f359]) ).
fof(f12224,plain,
( ! [X0,X1] : sum(X0,add(X1,additive_inverse(X0)),X1)
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f12223]) ).
fof(f14833,plain,
( spl0_358
| ~ spl0_57
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1339,f1280,f423,f14831]) ).
fof(f14831,plain,
( spl0_358
<=> ! [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_358])]) ).
fof(f1339,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(additive_inverse(X3),X2))
| ~ sum(X1,additive_identity,X3) )
| ~ spl0_57
| ~ spl0_85 ),
inference(resolution,[],[f1281,f424]) ).
fof(f14829,plain,
( spl0_357
| ~ spl0_59
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1331,f1280,f431,f14827]) ).
fof(f14827,plain,
( spl0_357
<=> ! [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_357])]) ).
fof(f1331,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| sum(X0,X3,add(additive_inverse(X4),X2))
| ~ sum(X3,X4,X1) )
| ~ spl0_59
| ~ spl0_85 ),
inference(resolution,[],[f1281,f432]) ).
fof(f14825,plain,
( spl0_356
| ~ spl0_58
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1329,f1280,f427,f14823]) ).
fof(f14823,plain,
( spl0_356
<=> ! [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_356])]) ).
fof(f1329,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(X0,X3,add(X1,X2))
| ~ sum(additive_identity,additive_identity,X3) )
| ~ spl0_58
| ~ spl0_85 ),
inference(resolution,[],[f1281,f428]) ).
fof(f14821,plain,
( spl0_355
| ~ spl0_58
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1304,f1276,f427,f14819]) ).
fof(f14819,plain,
( spl0_355
<=> ! [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_355])]) ).
fof(f1304,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(X2,X0,X3)
| ~ sum(additive_identity,additive_identity,X3) )
| ~ spl0_58
| ~ spl0_84 ),
inference(resolution,[],[f1277,f428]) ).
fof(f14817,plain,
( spl0_354
| ~ spl0_10
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1263,f1106,f62,f14815]) ).
fof(f14815,plain,
( spl0_354
<=> ! [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_354])]) ).
fof(f62,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(f1263,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| multiply(X0,multiply(X1,X4)) = X3
| ~ product(X2,X4,X3) )
| ~ spl0_10
| ~ spl0_83 ),
inference(resolution,[],[f1107,f63]) ).
fof(f63,plain,
( ! [X2,X0,X1,X4] :
( ~ product(X0,X1,X4)
| X2 = X4
| ~ product(X0,X1,X2) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f14813,plain,
( spl0_353
| ~ spl0_10
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1252,f1098,f62,f14811]) ).
fof(f14811,plain,
( spl0_353
<=> ! [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_353])]) ).
fof(f1252,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| multiply(X2,X4) = X3
| ~ product(X0,multiply(X1,X4),X3) )
| ~ spl0_10
| ~ spl0_81 ),
inference(resolution,[],[f1099,f63]) ).
fof(f14809,plain,
( spl0_352
| ~ spl0_34
| ~ spl0_41
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1245,f1094,f306,f242,f14807]) ).
fof(f14807,plain,
( spl0_352
<=> ! [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_352])]) ).
fof(f1245,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X4,additive_inverse(X3),add(X1,X0))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_80 ),
inference(forward_demodulation,[],[f1219,f307]) ).
fof(f1219,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_34
| ~ spl0_80 ),
inference(resolution,[],[f1095,f243]) ).
fof(f14804,plain,
( spl0_351
| ~ spl0_76
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1234,f1094,f847,f14802]) ).
fof(f1234,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(add(X2,X3)))
| sum(add(add(X1,X2),X0),X3,additive_identity) )
| ~ spl0_76
| ~ spl0_80 ),
inference(resolution,[],[f1095,f848]) ).
fof(f14799,plain,
( spl0_350
| ~ spl0_9
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1211,f1094,f58,f14797]) ).
fof(f58,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(f1211,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(add(X1,X4),X0) = X3
| ~ sum(X2,X4,X3) )
| ~ spl0_9
| ~ spl0_80 ),
inference(resolution,[],[f1095,f59]) ).
fof(f59,plain,
( ! [X2,X0,X1,X4] :
( ~ sum(X0,X1,X4)
| X2 = X4
| ~ sum(X0,X1,X2) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f14795,plain,
( spl0_349
| ~ spl0_34
| ~ spl0_41
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1204,f1090,f306,f242,f14793]) ).
fof(f14793,plain,
( spl0_349
<=> ! [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_349])]) ).
fof(f1204,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X4,additive_inverse(X3),add(X0,X1))
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_79 ),
inference(forward_demodulation,[],[f1178,f307]) ).
fof(f1178,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_34
| ~ spl0_79 ),
inference(resolution,[],[f1091,f243]) ).
fof(f14791,plain,
( spl0_348
| ~ spl0_69
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f13745,f11455,f786,f14789]) ).
fof(f14789,plain,
( spl0_348
<=> ! [X0,X1] : sum(add(additive_inverse(X0),X1),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f13745,plain,
( ! [X0,X1] : sum(add(additive_inverse(X0),X1),X0,X1)
| ~ spl0_69
| ~ spl0_304 ),
inference(superposition,[],[f11456,f787]) ).
fof(f14787,plain,
( spl0_347
| ~ spl0_76
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1193,f1090,f847,f14785]) ).
fof(f14785,plain,
( spl0_347
<=> ! [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_347])]) ).
fof(f1193,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(add(X2,X3)))
| sum(add(X0,add(X1,X2)),X3,additive_identity) )
| ~ spl0_76
| ~ spl0_79 ),
inference(resolution,[],[f1091,f848]) ).
fof(f14783,plain,
( spl0_346
| ~ spl0_9
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1170,f1090,f58,f14781]) ).
fof(f14781,plain,
( spl0_346
<=> ! [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_346])]) ).
fof(f1170,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(X0,add(X1,X4)) = X3
| ~ sum(X2,X4,X3) )
| ~ spl0_9
| ~ spl0_79 ),
inference(resolution,[],[f1091,f59]) ).
fof(f14778,plain,
( spl0_345
| ~ spl0_76
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1154,f1086,f847,f14776]) ).
fof(f1154,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X1,X3)
| sum(add(X3,X0),X2,additive_identity) )
| ~ spl0_76
| ~ spl0_78 ),
inference(resolution,[],[f1087,f848]) ).
fof(f14774,plain,
( spl0_344
| ~ spl0_9
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1141,f1086,f58,f14772]) ).
fof(f14772,plain,
( spl0_344
<=> ! [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_344])]) ).
fof(f1141,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(X2,X4) = X3
| ~ sum(X0,add(X4,X1),X3) )
| ~ spl0_9
| ~ spl0_78 ),
inference(resolution,[],[f1087,f59]) ).
fof(f14769,plain,
( spl0_343
| ~ spl0_76
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1124,f1082,f847,f14767]) ).
fof(f1124,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(add(add(X0,X1),X2)),X0,X3)
| sum(add(X3,X1),X2,additive_identity) )
| ~ spl0_76
| ~ spl0_77 ),
inference(resolution,[],[f1083,f848]) ).
fof(f14765,plain,
( spl0_342
| ~ spl0_9
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1111,f1082,f58,f14763]) ).
fof(f14763,plain,
( spl0_342
<=> ! [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_342])]) ).
fof(f1111,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| add(X2,X4) = X3
| ~ sum(X0,add(X1,X4),X3) )
| ~ spl0_9
| ~ spl0_77 ),
inference(resolution,[],[f1083,f59]) ).
fof(f14761,plain,
( spl0_341
| ~ spl0_28
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1025,f843,f186,f14759]) ).
fof(f14759,plain,
( spl0_341
<=> ! [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_341])]) ).
fof(f1025,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,additive_inverse(X1)),X4) )
| ~ spl0_28
| ~ spl0_75 ),
inference(resolution,[],[f844,f187]) ).
fof(f14757,plain,
( spl0_340
| ~ spl0_29
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1024,f843,f190,f14755]) ).
fof(f14755,plain,
( spl0_340
<=> ! [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_340])]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(add(X2,additive_inverse(X1)),X3,X4) )
| ~ spl0_29
| ~ spl0_75 ),
inference(resolution,[],[f844,f191]) ).
fof(f14753,plain,
( spl0_339
| ~ spl0_28
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f994,f839,f186,f14751]) ).
fof(f14751,plain,
( spl0_339
<=> ! [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_339])]) ).
fof(f994,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X3,X0,X4)
| sum(X3,add(X2,X1),X4) )
| ~ spl0_28
| ~ spl0_74 ),
inference(resolution,[],[f840,f187]) ).
fof(f14749,plain,
( spl0_338
| ~ spl0_29
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f993,f839,f190,f14747]) ).
fof(f14747,plain,
( spl0_338
<=> ! [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_338])]) ).
fof(f993,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,additive_inverse(X1),X2)
| ~ sum(X0,X3,X4)
| sum(add(X2,X1),X3,X4) )
| ~ spl0_29
| ~ spl0_74 ),
inference(resolution,[],[f840,f191]) ).
fof(f14635,plain,
( spl0_337
| ~ spl0_30
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f959,f835,f194,f14633]) ).
fof(f14633,plain,
( spl0_337
<=> ! [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_337])]) ).
fof(f959,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(additive_inverse(X2),X0),X2,X3)
| sum(X1,additive_identity,X3) )
| ~ spl0_30
| ~ spl0_73 ),
inference(resolution,[],[f836,f195]) ).
fof(f14631,plain,
( spl0_336
| ~ spl0_27
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f958,f835,f182,f14629]) ).
fof(f14629,plain,
( spl0_336
<=> ! [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_336])]) ).
fof(f958,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(additive_inverse(X3),X0),additive_identity)
| sum(X2,X1,X3) )
| ~ spl0_27
| ~ spl0_73 ),
inference(resolution,[],[f836,f183]) ).
fof(f14627,plain,
( spl0_335
| ~ spl0_30
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f920,f831,f194,f14625]) ).
fof(f14625,plain,
( spl0_335
<=> ! [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_335])]) ).
fof(f920,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(add(X0,additive_inverse(X2)),X2,X3)
| sum(X1,additive_identity,X3) )
| ~ spl0_30
| ~ spl0_72 ),
inference(resolution,[],[f832,f195]) ).
fof(f14623,plain,
( spl0_334
| ~ spl0_27
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f919,f831,f182,f14621]) ).
fof(f14621,plain,
( spl0_334
<=> ! [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_334])]) ).
fof(f919,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,add(X0,additive_inverse(X3)),additive_identity)
| sum(X2,X1,X3) )
| ~ spl0_27
| ~ spl0_72 ),
inference(resolution,[],[f832,f183]) ).
fof(f14619,plain,
( spl0_333
| ~ spl0_30
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f878,f827,f194,f14617]) ).
fof(f14617,plain,
( spl0_333
<=> ! [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_333])]) ).
fof(f878,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(additive_inverse(X2),X1),X3)
| sum(additive_identity,additive_identity,X3) )
| ~ spl0_30
| ~ spl0_71 ),
inference(resolution,[],[f828,f195]) ).
fof(f14615,plain,
( spl0_332
| ~ spl0_27
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f877,f827,f182,f14613]) ).
fof(f14613,plain,
( spl0_332
<=> ! [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_332])]) ).
fof(f877,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,additive_identity,add(additive_inverse(X2),X1)) )
| ~ spl0_27
| ~ spl0_71 ),
inference(resolution,[],[f828,f183]) ).
fof(f14611,plain,
( spl0_331
| ~ spl0_30
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f857,f823,f194,f14609]) ).
fof(f14609,plain,
( spl0_331
<=> ! [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_331])]) ).
fof(f857,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,add(X1,additive_inverse(X2)),X3)
| sum(additive_identity,additive_identity,X3) )
| ~ spl0_30
| ~ spl0_70 ),
inference(resolution,[],[f824,f195]) ).
fof(f14607,plain,
( spl0_330
| ~ spl0_27
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f856,f823,f182,f14605]) ).
fof(f14605,plain,
( spl0_330
<=> ! [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_330])]) ).
fof(f856,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| sum(X3,additive_identity,add(X1,additive_inverse(X2))) )
| ~ spl0_27
| ~ spl0_70 ),
inference(resolution,[],[f824,f183]) ).
fof(f14603,plain,
( spl0_329
| ~ spl0_32
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f808,f656,f234,f14601]) ).
fof(f14601,plain,
( spl0_329
<=> ! [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_329])]) ).
fof(f808,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3)
| sum(X2,add(X0,additive_inverse(X3)),additive_identity) )
| ~ spl0_32
| ~ spl0_68 ),
inference(resolution,[],[f657,f235]) ).
fof(f14599,plain,
( spl0_328
| ~ spl0_33
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f807,f656,f238,f14597]) ).
fof(f14597,plain,
( spl0_328
<=> ! [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_328])]) ).
fof(f807,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,additive_identity,X2)
| sum(add(X0,additive_inverse(X3)),X3,X2) )
| ~ spl0_33
| ~ spl0_68 ),
inference(resolution,[],[f657,f239]) ).
fof(f14431,plain,
( spl0_327
| ~ spl0_32
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f770,f652,f234,f14429]) ).
fof(f14429,plain,
( spl0_327
<=> ! [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_327])]) ).
fof(f770,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,add(X1,additive_inverse(X3)),additive_identity) )
| ~ spl0_32
| ~ spl0_67 ),
inference(resolution,[],[f653,f235]) ).
fof(f14427,plain,
( spl0_326
| ~ spl0_33
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f769,f652,f238,f14425]) ).
fof(f14425,plain,
( spl0_326
<=> ! [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_326])]) ).
fof(f769,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_identity,X2)
| sum(add(X1,additive_inverse(X3)),X3,X2) )
| ~ spl0_33
| ~ spl0_67 ),
inference(resolution,[],[f653,f239]) ).
fof(f14423,plain,
( spl0_325
| ~ spl0_34
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f726,f638,f242,f14421]) ).
fof(f14421,plain,
( spl0_325
<=> ! [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_325])]) ).
fof(f726,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X1,X0),X3,X4)
| sum(X4,additive_inverse(X3),X2) )
| ~ spl0_34
| ~ spl0_64 ),
inference(resolution,[],[f639,f243]) ).
fof(f14419,plain,
( spl0_324
| ~ spl0_34
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f701,f607,f242,f14417]) ).
fof(f14417,plain,
( spl0_324
<=> ! [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_324])]) ).
fof(f701,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X0,X1),X3,X4)
| sum(X4,additive_inverse(X3),X2) )
| ~ spl0_34
| ~ spl0_63 ),
inference(resolution,[],[f608,f243]) ).
fof(f14415,plain,
( spl0_323
| ~ spl0_31
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f690,f603,f230,f14413]) ).
fof(f14413,plain,
( spl0_323
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(add(additive_inverse(X2),X1),X2,X3)
| sum(X0,X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f690,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(add(additive_inverse(X2),X1),X2,X3)
| sum(X0,X3,additive_identity) )
| ~ spl0_31
| ~ spl0_62 ),
inference(resolution,[],[f604,f231]) ).
fof(f14411,plain,
( spl0_322
| ~ spl0_31
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f669,f599,f230,f14409]) ).
fof(f14409,plain,
( spl0_322
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(add(X1,additive_inverse(X2)),X2,X3)
| sum(X0,X3,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f669,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(add(X1,additive_inverse(X2)),X2,X3)
| sum(X0,X3,additive_identity) )
| ~ spl0_31
| ~ spl0_61 ),
inference(resolution,[],[f600,f231]) ).
fof(f14407,plain,
( spl0_321
| ~ spl0_36
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f589,f431,f273,f14405]) ).
fof(f14405,plain,
( spl0_321
<=> ! [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_321])]) ).
fof(f589,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,X0,add(X4,additive_inverse(X1))) )
| ~ spl0_36
| ~ spl0_59 ),
inference(resolution,[],[f432,f274]) ).
fof(f14403,plain,
( spl0_320
| ~ spl0_37
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f565,f427,f277,f14401]) ).
fof(f14401,plain,
( spl0_320
<=> ! [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_320])]) ).
fof(f565,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(add(X1,X2)),X1,X3)
| sum(X3,X2,X0) )
| ~ spl0_37
| ~ spl0_58 ),
inference(resolution,[],[f428,f278]) ).
fof(f14399,plain,
( spl0_319
| ~ spl0_36
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f554,f427,f273,f14397]) ).
fof(f14397,plain,
( spl0_319
<=> ! [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_319])]) ).
fof(f554,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(X2),X3)
| sum(X1,X0,add(X3,X2)) )
| ~ spl0_36
| ~ spl0_58 ),
inference(resolution,[],[f428,f274]) ).
fof(f14395,plain,
( spl0_318
| ~ spl0_36
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f537,f423,f273,f14393]) ).
fof(f14393,plain,
( spl0_318
<=> ! [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_318])]) ).
fof(f537,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X3)
| sum(X2,additive_identity,add(X3,additive_inverse(X1))) )
| ~ spl0_36
| ~ spl0_57 ),
inference(resolution,[],[f424,f274]) ).
fof(f13231,plain,
( spl0_317
| ~ spl0_7
| ~ spl0_248
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f11433,f11430,f7580,f45,f13229]) ).
fof(f11430,plain,
( spl0_298
<=> ! [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_298])]) ).
fof(f11433,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_248
| ~ spl0_298 ),
inference(forward_demodulation,[],[f11431,f8761]) ).
fof(f11431,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(additive_inverse(X1),X2),X0)),X2,X1) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f11430]) ).
fof(f13227,plain,
( spl0_316
| ~ spl0_7
| ~ spl0_248
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f11428,f11425,f7580,f45,f13225]) ).
fof(f13225,plain,
( spl0_316
<=> ! [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_316])]) ).
fof(f11425,plain,
( spl0_297
<=> ! [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_297])]) ).
fof(f11428,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_248
| ~ spl0_297 ),
inference(forward_demodulation,[],[f11426,f8761]) ).
fof(f11426,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(X1,additive_inverse(X2)),X0)),X1,X2) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f11425]) ).
fof(f12997,plain,
( spl0_315
| ~ spl0_47
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f11373,f11154,f358,f12995]) ).
fof(f11373,plain,
( ! [X0,X1] : sum(additive_inverse(X1),add(X1,X0),X0)
| ~ spl0_47
| ~ spl0_273 ),
inference(superposition,[],[f11155,f359]) ).
fof(f12225,plain,
( spl0_314
| ~ spl0_69
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f11370,f11154,f786,f12223]) ).
fof(f11370,plain,
( ! [X0,X1] : sum(X0,add(X1,additive_inverse(X0)),X1)
| ~ spl0_69
| ~ spl0_273 ),
inference(superposition,[],[f11155,f787]) ).
fof(f11606,plain,
( spl0_313
| ~ spl0_69
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f11259,f10295,f786,f11604]) ).
fof(f11604,plain,
( spl0_313
<=> ! [X0,X1] : sum(add(X1,additive_inverse(X0)),X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f10295,plain,
( spl0_268
<=> ! [X0,X1] : sum(add(X0,X1),additive_inverse(X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f11259,plain,
( ! [X0,X1] : sum(add(X1,additive_inverse(X0)),X0,X1)
| ~ spl0_69
| ~ spl0_268 ),
inference(superposition,[],[f10296,f787]) ).
fof(f10296,plain,
( ! [X0,X1] : sum(add(X0,X1),additive_inverse(X1),X0)
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f10295]) ).
fof(f11489,plain,
( spl0_312
| ~ spl0_6
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1416,f1394,f41,f11487]) ).
fof(f11487,plain,
( spl0_312
<=> ! [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_312])]) ).
fof(f1416,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X1,X3),multiply(X0,X3))) )
| ~ spl0_6
| ~ spl0_96 ),
inference(resolution,[],[f1395,f42]) ).
fof(f11485,plain,
( spl0_311
| ~ spl0_6
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f1409,f1390,f41,f11483]) ).
fof(f11483,plain,
( spl0_311
<=> ! [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_311])]) ).
fof(f1409,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X2,X3,add(multiply(X0,X3),multiply(X1,X3))) )
| ~ spl0_6
| ~ spl0_95 ),
inference(resolution,[],[f1391,f42]) ).
fof(f11481,plain,
( spl0_310
| ~ spl0_6
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f1406,f1386,f41,f11479]) ).
fof(f1406,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X0,X3),multiply(X1,X3),multiply(X2,X3)) )
| ~ spl0_6
| ~ spl0_94 ),
inference(resolution,[],[f1387,f42]) ).
fof(f11477,plain,
( spl0_309
| ~ spl0_6
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f1403,f1382,f41,f11475]) ).
fof(f11475,plain,
( spl0_309
<=> ! [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_309])]) ).
fof(f1403,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X1),multiply(X3,X0))) )
| ~ spl0_6
| ~ spl0_93 ),
inference(resolution,[],[f1383,f42]) ).
fof(f11473,plain,
( spl0_308
| ~ spl0_6
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f1400,f1378,f41,f11471]) ).
fof(f11471,plain,
( spl0_308
<=> ! [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_308])]) ).
fof(f1400,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X3,X2,add(multiply(X3,X0),multiply(X3,X1))) )
| ~ spl0_6
| ~ spl0_92 ),
inference(resolution,[],[f1379,f42]) ).
fof(f11469,plain,
( spl0_307
| ~ spl0_6
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f1397,f1370,f41,f11467]) ).
fof(f1397,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(multiply(X3,X0),multiply(X3,X1),multiply(X3,X2)) )
| ~ spl0_6
| ~ spl0_90 ),
inference(resolution,[],[f1371,f42]) ).
fof(f11465,plain,
( spl0_306
| ~ spl0_39
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1251,f1098,f285,f11463]) ).
fof(f11463,plain,
( spl0_306
<=> ! [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_306])]) ).
fof(f1251,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| product(X3,X4,multiply(X2,X4)) )
| ~ spl0_39
| ~ spl0_81 ),
inference(resolution,[],[f1099,f286]) ).
fof(f11461,plain,
( spl0_305
| ~ spl0_28
| ~ spl0_41
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1247,f1094,f306,f186,f11459]) ).
fof(f11459,plain,
( spl0_305
<=> ! [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_305])]) ).
fof(f1247,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X3,add(X1,X0),X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) )
| ~ spl0_28
| ~ spl0_41
| ~ spl0_80 ),
inference(forward_demodulation,[],[f1221,f307]) ).
fof(f1221,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(add(X1,additive_identity),X0),X4) )
| ~ spl0_28
| ~ spl0_80 ),
inference(resolution,[],[f1095,f187]) ).
fof(f11457,plain,
( spl0_304
| ~ spl0_47
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f11253,f10295,f358,f11455]) ).
fof(f11253,plain,
( ! [X0,X1] : sum(add(X1,X0),additive_inverse(X1),X0)
| ~ spl0_47
| ~ spl0_268 ),
inference(superposition,[],[f10296,f359]) ).
fof(f11453,plain,
( spl0_303
| ~ spl0_29
| ~ spl0_41
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1246,f1094,f306,f190,f11451]) ).
fof(f11451,plain,
( spl0_303
<=> ! [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_303])]) ).
fof(f1246,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(add(X1,X0),X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_29
| ~ spl0_41
| ~ spl0_80 ),
inference(forward_demodulation,[],[f1220,f307]) ).
fof(f1220,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(add(X1,additive_identity),X0),X3,X4) )
| ~ spl0_29
| ~ spl0_80 ),
inference(resolution,[],[f1095,f191]) ).
fof(f11449,plain,
( spl0_302
| ~ spl0_28
| ~ spl0_41
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1206,f1090,f306,f186,f11447]) ).
fof(f11447,plain,
( spl0_302
<=> ! [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_302])]) ).
fof(f1206,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(X3,add(X0,X1),X4)
| ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4) )
| ~ spl0_28
| ~ spl0_41
| ~ spl0_79 ),
inference(forward_demodulation,[],[f1180,f307]) ).
fof(f1180,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X4)
| sum(X3,add(X0,add(X1,additive_identity)),X4) )
| ~ spl0_28
| ~ spl0_79 ),
inference(resolution,[],[f1091,f187]) ).
fof(f11445,plain,
( spl0_301
| ~ spl0_29
| ~ spl0_41
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1205,f1090,f306,f190,f11443]) ).
fof(f11443,plain,
( spl0_301
<=> ! [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_301])]) ).
fof(f1205,plain,
( ! [X2,X3,X0,X1,X4] :
( sum(add(X0,X1),X3,X4)
| ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4) )
| ~ spl0_29
| ~ spl0_41
| ~ spl0_79 ),
inference(forward_demodulation,[],[f1179,f307]) ).
fof(f1179,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X4)
| sum(add(X0,add(X1,additive_identity)),X3,X4) )
| ~ spl0_29
| ~ spl0_79 ),
inference(resolution,[],[f1091,f191]) ).
fof(f11441,plain,
( spl0_300
| ~ spl0_37
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1139,f1086,f277,f11439]) ).
fof(f11439,plain,
( spl0_300
<=> ! [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_300])]) ).
fof(f1139,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| sum(X4,X1,add(X2,X3)) )
| ~ spl0_37
| ~ spl0_78 ),
inference(resolution,[],[f1087,f278]) ).
fof(f11437,plain,
( spl0_299
| ~ spl0_37
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1109,f1082,f277,f11435]) ).
fof(f11435,plain,
( spl0_299
<=> ! [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_299])]) ).
fof(f1109,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,X4,add(X2,X4)) )
| ~ spl0_37
| ~ spl0_77 ),
inference(resolution,[],[f1083,f278]) ).
fof(f11432,plain,
( spl0_298
| ~ spl0_71
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1060,f847,f827,f11430]) ).
fof(f1060,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(additive_inverse(X1),X2),X0)),X2,X1) )
| ~ spl0_71
| ~ spl0_76 ),
inference(resolution,[],[f848,f828]) ).
fof(f11427,plain,
( spl0_297
| ~ spl0_70
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1059,f847,f823,f11425]) ).
fof(f1059,plain,
( ! [X2,X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(add(X1,additive_inverse(X2)),X0)),X1,X2) )
| ~ spl0_70
| ~ spl0_76 ),
inference(resolution,[],[f848,f824]) ).
fof(f11423,plain,
( spl0_296
| ~ spl0_9
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1028,f843,f58,f11421]) ).
fof(f11421,plain,
( spl0_296
<=> ! [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_296])]) ).
fof(f1028,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,additive_inverse(X1)) = X3
| ~ sum(X0,additive_identity,X3) )
| ~ spl0_9
| ~ spl0_75 ),
inference(resolution,[],[f844,f59]) ).
fof(f11419,plain,
( spl0_295
| ~ spl0_9
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f997,f839,f58,f11417]) ).
fof(f11417,plain,
( spl0_295
<=> ! [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_295])]) ).
fof(f997,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X2,X1) = X3
| ~ sum(X0,additive_identity,X3) )
| ~ spl0_9
| ~ spl0_74 ),
inference(resolution,[],[f840,f59]) ).
fof(f11415,plain,
( spl0_294
| ~ spl0_32
| ~ spl0_69
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f989,f835,f786,f234,f11413]) ).
fof(f11413,plain,
( spl0_294
<=> ! [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_294])]) ).
fof(f989,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X2,add(X3,X0),X3)
| ~ sum(X0,additive_identity,X1)
| sum(X2,X1,additive_identity) )
| ~ spl0_32
| ~ spl0_69
| ~ spl0_73 ),
inference(forward_demodulation,[],[f973,f787]) ).
fof(f973,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_32
| ~ spl0_73 ),
inference(resolution,[],[f836,f235]) ).
fof(f11322,plain,
( spl0_293
| ~ spl0_33
| ~ spl0_69
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f988,f835,f786,f238,f11320]) ).
fof(f11320,plain,
( spl0_293
<=> ! [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_293])]) ).
fof(f988,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(add(X2,X0),additive_identity,X3)
| ~ sum(X0,additive_identity,X1)
| sum(X1,X2,X3) )
| ~ spl0_33
| ~ spl0_69
| ~ spl0_73 ),
inference(forward_demodulation,[],[f972,f787]) ).
fof(f972,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_33
| ~ spl0_73 ),
inference(resolution,[],[f836,f239]) ).
fof(f11318,plain,
( spl0_292
| ~ spl0_9
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f954,f835,f58,f11316]) ).
fof(f11316,plain,
( spl0_292
<=> ! [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_292])]) ).
fof(f954,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X1 = X2
| ~ sum(add(additive_inverse(X3),X0),X3,X2) )
| ~ spl0_9
| ~ spl0_73 ),
inference(resolution,[],[f836,f59]) ).
fof(f11314,plain,
( spl0_291
| ~ spl0_32
| ~ spl0_69
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f950,f831,f786,f234,f11312]) ).
fof(f11312,plain,
( spl0_291
<=> ! [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_291])]) ).
fof(f950,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X2,add(X0,X3),X3)
| ~ sum(X0,additive_identity,X1)
| sum(X2,X1,additive_identity) )
| ~ spl0_32
| ~ spl0_69
| ~ spl0_72 ),
inference(forward_demodulation,[],[f934,f787]) ).
fof(f934,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_32
| ~ spl0_72 ),
inference(resolution,[],[f832,f235]) ).
fof(f11310,plain,
( spl0_290
| ~ spl0_33
| ~ spl0_69
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f949,f831,f786,f238,f11308]) ).
fof(f11308,plain,
( spl0_290
<=> ! [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_290])]) ).
fof(f949,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(add(X0,X2),additive_identity,X3)
| ~ sum(X0,additive_identity,X1)
| sum(X1,X2,X3) )
| ~ spl0_33
| ~ spl0_69
| ~ spl0_72 ),
inference(forward_demodulation,[],[f933,f787]) ).
fof(f933,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_33
| ~ spl0_72 ),
inference(resolution,[],[f832,f239]) ).
fof(f11306,plain,
( spl0_289
| ~ spl0_9
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f915,f831,f58,f11304]) ).
fof(f11304,plain,
( spl0_289
<=> ! [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_289])]) ).
fof(f915,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X1 = X2
| ~ sum(add(X0,additive_inverse(X3)),X3,X2) )
| ~ spl0_9
| ~ spl0_72 ),
inference(resolution,[],[f832,f59]) ).
fof(f11302,plain,
( spl0_288
| ~ spl0_9
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f873,f827,f58,f11300]) ).
fof(f11300,plain,
( spl0_288
<=> ! [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_288])]) ).
fof(f873,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(X0,add(additive_inverse(X2),X1),X3) )
| ~ spl0_9
| ~ spl0_71 ),
inference(resolution,[],[f828,f59]) ).
fof(f11298,plain,
( spl0_287
| ~ spl0_9
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f852,f823,f58,f11296]) ).
fof(f11296,plain,
( spl0_287
<=> ! [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_287])]) ).
fof(f852,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = X3
| ~ sum(X0,add(X1,additive_inverse(X2)),X3) )
| ~ spl0_9
| ~ spl0_70 ),
inference(resolution,[],[f824,f59]) ).
fof(f11294,plain,
( spl0_286
| ~ spl0_30
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f795,f656,f194,f11292]) ).
fof(f11292,plain,
( spl0_286
<=> ! [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_286])]) ).
fof(f795,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(add(X0,X2),additive_identity,X3) )
| ~ spl0_30
| ~ spl0_68 ),
inference(resolution,[],[f657,f195]) ).
fof(f11290,plain,
( spl0_285
| ~ spl0_27
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f794,f656,f182,f11288]) ).
fof(f11288,plain,
( spl0_285
<=> ! [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_285])]) ).
fof(f794,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,additive_identity)
| sum(X2,add(X0,X3),X3) )
| ~ spl0_27
| ~ spl0_68 ),
inference(resolution,[],[f657,f183]) ).
fof(f11286,plain,
( spl0_284
| ~ spl0_30
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f757,f652,f194,f11284]) ).
fof(f11284,plain,
( spl0_284
<=> ! [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_284])]) ).
fof(f757,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(add(X1,X2),additive_identity,X3) )
| ~ spl0_30
| ~ spl0_67 ),
inference(resolution,[],[f653,f195]) ).
fof(f11196,plain,
( spl0_283
| ~ spl0_27
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f756,f652,f182,f11194]) ).
fof(f11194,plain,
( spl0_283
<=> ! [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_283])]) ).
fof(f756,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,add(X1,X3),X3) )
| ~ spl0_27
| ~ spl0_67 ),
inference(resolution,[],[f653,f183]) ).
fof(f11192,plain,
( spl0_282
| ~ spl0_28
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f728,f638,f186,f11190]) ).
fof(f11190,plain,
( spl0_282
<=> ! [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_282])]) ).
fof(f728,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X1,X0),X4)
| sum(X3,X2,X4) )
| ~ spl0_28
| ~ spl0_64 ),
inference(resolution,[],[f639,f187]) ).
fof(f11188,plain,
( spl0_281
| ~ spl0_29
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f727,f638,f190,f11186]) ).
fof(f11186,plain,
( spl0_281
<=> ! [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_281])]) ).
fof(f727,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X1,X0),X3,X4)
| sum(X2,X3,X4) )
| ~ spl0_29
| ~ spl0_64 ),
inference(resolution,[],[f639,f191]) ).
fof(f11184,plain,
( spl0_280
| ~ spl0_28
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f703,f607,f186,f11182]) ).
fof(f11182,plain,
( spl0_280
<=> ! [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_280])]) ).
fof(f703,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,add(X0,X1),X4)
| sum(X3,X2,X4) )
| ~ spl0_28
| ~ spl0_63 ),
inference(resolution,[],[f608,f187]) ).
fof(f11180,plain,
( spl0_279
| ~ spl0_29
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f702,f607,f190,f11178]) ).
fof(f11178,plain,
( spl0_279
<=> ! [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_279])]) ).
fof(f702,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(add(X0,X1),X3,X4)
| sum(X2,X3,X4) )
| ~ spl0_29
| ~ spl0_63 ),
inference(resolution,[],[f608,f191]) ).
fof(f11176,plain,
( spl0_278
| ~ spl0_30
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f687,f603,f194,f11174]) ).
fof(f11174,plain,
( spl0_278
<=> ! [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_278])]) ).
fof(f687,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,add(X2,X1),X3)
| sum(X2,additive_identity,X3) )
| ~ spl0_30
| ~ spl0_62 ),
inference(resolution,[],[f604,f195]) ).
fof(f11172,plain,
( spl0_277
| ~ spl0_27
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f686,f603,f182,f11170]) ).
fof(f11170,plain,
( spl0_277
<=> ! [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_277])]) ).
fof(f686,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,additive_identity)
| sum(X2,X3,add(X3,X1)) )
| ~ spl0_27
| ~ spl0_62 ),
inference(resolution,[],[f604,f183]) ).
fof(f11168,plain,
( spl0_276
| ~ spl0_30
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f666,f599,f194,f11166]) ).
fof(f11166,plain,
( spl0_276
<=> ! [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_276])]) ).
fof(f666,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,add(X1,X2),X3)
| sum(X2,additive_identity,X3) )
| ~ spl0_30
| ~ spl0_61 ),
inference(resolution,[],[f600,f195]) ).
fof(f11164,plain,
( spl0_275
| ~ spl0_27
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f665,f599,f182,f11162]) ).
fof(f11162,plain,
( spl0_275
<=> ! [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_275])]) ).
fof(f665,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,additive_identity)
| sum(X2,X3,add(X1,X3)) )
| ~ spl0_27
| ~ spl0_61 ),
inference(resolution,[],[f600,f183]) ).
fof(f11160,plain,
( spl0_274
| ~ spl0_31
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f591,f431,f230,f11158]) ).
fof(f11158,plain,
( spl0_274
<=> ! [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_274])]) ).
fof(f591,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_inverse(X0),X1,X2)
| ~ sum(additive_inverse(X1),X0,X3)
| sum(X2,X3,additive_identity) )
| ~ spl0_31
| ~ spl0_59 ),
inference(resolution,[],[f432,f231]) ).
fof(f11156,plain,
( spl0_273
| ~ spl0_14
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f8893,f3884,f84,f11154]) ).
fof(f8893,plain,
( ! [X0,X1] : sum(additive_inverse(X1),add(X0,X1),X0)
| ~ spl0_14
| ~ spl0_180 ),
inference(superposition,[],[f85,f3885]) ).
fof(f11151,plain,
( spl0_272
| ~ spl0_32
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f567,f427,f234,f11149]) ).
fof(f11149,plain,
( spl0_272
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(additive_inverse(X2)),X2)
| sum(X1,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f567,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(additive_inverse(X2)),X2)
| sum(X1,X0,additive_identity) )
| ~ spl0_32
| ~ spl0_58 ),
inference(resolution,[],[f428,f235]) ).
fof(f11146,plain,
( spl0_271
| ~ spl0_33
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f566,f427,f238,f11144]) ).
fof(f11144,plain,
( spl0_271
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(additive_inverse(X1)),additive_identity,X2)
| sum(X0,X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f566,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(additive_inverse(X1)),additive_identity,X2)
| sum(X0,X1,X2) )
| ~ spl0_33
| ~ spl0_58 ),
inference(resolution,[],[f428,f239]) ).
fof(f11142,plain,
( spl0_270
| ~ spl0_31
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f556,f427,f230,f11140]) ).
fof(f11140,plain,
( spl0_270
<=> ! [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_270])]) ).
fof(f556,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| ~ sum(X1,X0,X2)
| sum(additive_inverse(X1),X2,additive_identity) )
| ~ spl0_31
| ~ spl0_58 ),
inference(resolution,[],[f428,f231]) ).
fof(f11138,plain,
( spl0_269
| ~ spl0_34
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f443,f403,f242,f11136]) ).
fof(f11136,plain,
( spl0_269
<=> ! [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_269])]) ).
fof(f443,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),additive_inverse(X1)) )
| ~ spl0_34
| ~ spl0_52 ),
inference(resolution,[],[f404,f243]) ).
fof(f10297,plain,
( spl0_268
| ~ spl0_7
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f8892,f3884,f45,f10295]) ).
fof(f8892,plain,
( ! [X0,X1] : sum(add(X0,X1),additive_inverse(X1),X0)
| ~ spl0_7
| ~ spl0_180 ),
inference(superposition,[],[f46,f3885]) ).
fof(f8282,plain,
( spl0_267
| ~ spl0_5
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f3791,f3494,f37,f8280]) ).
fof(f8280,plain,
( spl0_267
<=> ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f3494,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X2,X1)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f3791,plain,
( ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1
| ~ spl0_5
| ~ spl0_156 ),
inference(resolution,[],[f3495,f38]) ).
fof(f3495,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X2,X1)) = X2 )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f3494]) ).
fof(f7796,plain,
( spl0_266
| ~ spl0_5
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f3677,f3478,f37,f7794]) ).
fof(f7794,plain,
( spl0_266
<=> ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f3478,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X1,X2)) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f3677,plain,
( ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1
| ~ spl0_5
| ~ spl0_152 ),
inference(resolution,[],[f3479,f38]) ).
fof(f3479,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X1,X2)) = X2 )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f3478]) ).
fof(f7650,plain,
( spl0_265
| ~ spl0_26
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f1259,f1098,f171,f7648]) ).
fof(f7648,plain,
( spl0_265
<=> ! [X0,X3,X2,X1] :
( ~ product(X0,X1,X2)
| multiply(X2,X3) = multiply(X0,multiply(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f171,plain,
( spl0_26
<=> ! [X2,X0,X1] :
( multiply(X1,X2) = X0
| ~ product(X1,X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1259,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| multiply(X2,X3) = multiply(X0,multiply(X1,X3)) )
| ~ spl0_26
| ~ spl0_81 ),
inference(resolution,[],[f1099,f172]) ).
fof(f172,plain,
( ! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| multiply(X1,X2) = X0 )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f7646,plain,
( spl0_264
| ~ spl0_53
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1232,f1094,f407,f7644]) ).
fof(f7644,plain,
( spl0_264
<=> ! [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_264])]) ).
fof(f407,plain,
( spl0_53
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1232,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,additive_identity,add(add(X1,X2),X0)) )
| ~ spl0_53
| ~ spl0_80 ),
inference(resolution,[],[f1095,f408]) ).
fof(f408,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f7642,plain,
( spl0_263
| ~ spl0_55
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1231,f1094,f415,f7640]) ).
fof(f7640,plain,
( spl0_263
<=> ! [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_263])]) ).
fof(f415,plain,
( spl0_55
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1231,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,add(add(X1,X2),X0),additive_identity) )
| ~ spl0_55
| ~ spl0_80 ),
inference(resolution,[],[f1095,f416]) ).
fof(f416,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f7638,plain,
( spl0_262
| ~ spl0_54
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1226,f1094,f411,f7636]) ).
fof(f411,plain,
( spl0_54
<=> ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1226,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,additive_identity,add(add(X1,additive_inverse(X2)),X0)) )
| ~ spl0_54
| ~ spl0_80 ),
inference(resolution,[],[f1095,f412]) ).
fof(f412,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f7634,plain,
( spl0_261
| ~ spl0_50
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1218,f1094,f395,f7632]) ).
fof(f7632,plain,
( spl0_261
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(add(X1,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f1218,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(add(X1,X3),X0) )
| ~ spl0_50
| ~ spl0_80 ),
inference(resolution,[],[f1095,f396]) ).
fof(f7630,plain,
( spl0_260
| ~ spl0_53
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1191,f1090,f407,f7628]) ).
fof(f7628,plain,
( spl0_260
<=> ! [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_260])]) ).
fof(f1191,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,additive_identity,add(X0,add(X1,X2))) )
| ~ spl0_53
| ~ spl0_79 ),
inference(resolution,[],[f1091,f408]) ).
fof(f7626,plain,
( spl0_259
| ~ spl0_55
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1190,f1090,f415,f7624]) ).
fof(f7624,plain,
( spl0_259
<=> ! [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_259])]) ).
fof(f1190,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| sum(additive_identity,add(X0,add(X1,X2)),additive_identity) )
| ~ spl0_55
| ~ spl0_79 ),
inference(resolution,[],[f1091,f416]) ).
fof(f7622,plain,
( spl0_258
| ~ spl0_54
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1185,f1090,f411,f7620]) ).
fof(f7620,plain,
( spl0_258
<=> ! [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_258])]) ).
fof(f1185,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,additive_identity,add(X0,add(X1,additive_inverse(X2)))) )
| ~ spl0_54
| ~ spl0_79 ),
inference(resolution,[],[f1091,f412]) ).
fof(f7618,plain,
( spl0_257
| ~ spl0_14
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f3201,f2117,f84,f7616]) ).
fof(f3201,plain,
( ! [X0,X1] : add(add(additive_inverse(X0),X1),X0) = X1
| ~ spl0_14
| ~ spl0_146 ),
inference(resolution,[],[f2118,f85]) ).
fof(f7614,plain,
( spl0_256
| ~ spl0_50
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1177,f1090,f395,f7612]) ).
fof(f7612,plain,
( spl0_256
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(X0,add(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f1177,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X3,X2) = add(X0,add(X1,X3)) )
| ~ spl0_50
| ~ spl0_79 ),
inference(resolution,[],[f1091,f396]) ).
fof(f7610,plain,
( spl0_255
| ~ spl0_53
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1152,f1086,f407,f7608]) ).
fof(f7608,plain,
( spl0_255
<=> ! [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_255])]) ).
fof(f1152,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(additive_identity,additive_identity,add(X2,X0)) )
| ~ spl0_53
| ~ spl0_78 ),
inference(resolution,[],[f1087,f408]) ).
fof(f7606,plain,
( spl0_254
| ~ spl0_55
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1151,f1086,f415,f7604]) ).
fof(f7604,plain,
( spl0_254
<=> ! [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_254])]) ).
fof(f1151,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| sum(additive_identity,add(X2,X0),additive_identity) )
| ~ spl0_55
| ~ spl0_78 ),
inference(resolution,[],[f1087,f416]) ).
fof(f7602,plain,
( spl0_253
| ~ spl0_50
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1148,f1086,f395,f7600]) ).
fof(f1148,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X3,X1),X0) )
| ~ spl0_50
| ~ spl0_78 ),
inference(resolution,[],[f1087,f396]) ).
fof(f7598,plain,
( spl0_252
| ~ spl0_25
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1144,f1086,f167,f7596]) ).
fof(f1144,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X3,X1)) )
| ~ spl0_25
| ~ spl0_78 ),
inference(resolution,[],[f1087,f168]) ).
fof(f7594,plain,
( spl0_251
| ~ spl0_53
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1122,f1082,f407,f7592]) ).
fof(f7592,plain,
( spl0_251
<=> ! [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_251])]) ).
fof(f1122,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(additive_identity,additive_identity,add(X2,X1)) )
| ~ spl0_53
| ~ spl0_77 ),
inference(resolution,[],[f1083,f408]) ).
fof(f7590,plain,
( spl0_250
| ~ spl0_55
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1121,f1082,f415,f7588]) ).
fof(f7588,plain,
( spl0_250
<=> ! [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_250])]) ).
fof(f1121,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(additive_identity,add(X2,X1),additive_identity) )
| ~ spl0_55
| ~ spl0_77 ),
inference(resolution,[],[f1083,f416]) ).
fof(f7586,plain,
( spl0_249
| ~ spl0_50
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1118,f1082,f395,f7584]) ).
fof(f7584,plain,
( spl0_249
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X1,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f1118,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(add(X1,X3),X0) )
| ~ spl0_50
| ~ spl0_77 ),
inference(resolution,[],[f1083,f396]) ).
fof(f7582,plain,
( spl0_248
| ~ spl0_25
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1114,f1082,f167,f7580]) ).
fof(f1114,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,X3) = add(X0,add(X1,X3)) )
| ~ spl0_25
| ~ spl0_77 ),
inference(resolution,[],[f1083,f168]) ).
fof(f7578,plain,
( spl0_247
| ~ spl0_67
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1064,f847,f652,f7576]) ).
fof(f7576,plain,
( spl0_247
<=> ! [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_247])]) ).
fof(f1064,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),X2,additive_identity)
| ~ sum(additive_inverse(add(X1,X2)),additive_identity,X0) )
| ~ spl0_67
| ~ spl0_76 ),
inference(resolution,[],[f848,f653]) ).
fof(f7574,plain,
( spl0_246
| ~ spl0_7
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f3200,f2117,f45,f7572]) ).
fof(f3200,plain,
( ! [X0,X1] : add(add(X0,additive_inverse(X1)),X1) = X0
| ~ spl0_7
| ~ spl0_146 ),
inference(resolution,[],[f2118,f46]) ).
fof(f7570,plain,
( spl0_245
| ~ spl0_68
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1063,f847,f656,f7568]) ).
fof(f7568,plain,
( spl0_245
<=> ! [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_245])]) ).
fof(f1063,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),X2,additive_identity)
| ~ sum(additive_identity,X0,additive_inverse(add(X1,X2))) )
| ~ spl0_68
| ~ spl0_76 ),
inference(resolution,[],[f848,f657]) ).
fof(f7566,plain,
( spl0_244
| ~ spl0_61
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1057,f847,f599,f7564]) ).
fof(f7564,plain,
( spl0_244
<=> ! [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_244])]) ).
fof(f1057,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_inverse(add(add(X2,X0),X1)),X2,additive_identity) )
| ~ spl0_61
| ~ spl0_76 ),
inference(resolution,[],[f848,f600]) ).
fof(f7562,plain,
( spl0_243
| ~ spl0_62
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1055,f847,f603,f7560]) ).
fof(f7560,plain,
( spl0_243
<=> ! [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_243])]) ).
fof(f1055,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(additive_inverse(add(add(X0,X2),X1)),X2,additive_identity) )
| ~ spl0_62
| ~ spl0_76 ),
inference(resolution,[],[f848,f604]) ).
fof(f7558,plain,
( spl0_242
| ~ spl0_37
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f871,f827,f277,f7556]) ).
fof(f871,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,additive_inverse(X2),X3)
| sum(X3,X1,additive_identity) )
| ~ spl0_37
| ~ spl0_71 ),
inference(resolution,[],[f828,f278]) ).
fof(f7554,plain,
( spl0_241
| ~ spl0_37
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f850,f823,f277,f7552]) ).
fof(f850,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,additive_inverse(X2),additive_identity) )
| ~ spl0_37
| ~ spl0_70 ),
inference(resolution,[],[f824,f278]) ).
fof(f7550,plain,
( spl0_240
| ~ spl0_34
| ~ spl0_41
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f819,f656,f306,f242,f7548]) ).
fof(f7548,plain,
( spl0_240
<=> ! [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_240])]) ).
fof(f819,plain,
( ! [X2,X3,X0,X1] :
( sum(X3,additive_inverse(X2),X0)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3) )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_68 ),
inference(forward_demodulation,[],[f798,f307]) ).
fof(f798,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(X3,additive_inverse(X2),add(X0,additive_identity)) )
| ~ spl0_34
| ~ spl0_68 ),
inference(resolution,[],[f657,f243]) ).
fof(f7546,plain,
( spl0_239
| ~ spl0_9
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f790,f656,f58,f7544]) ).
fof(f7544,plain,
( spl0_239
<=> ! [X0,X3,X2,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X0,X3) = X2
| ~ sum(X1,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f790,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X0,X3) = X2
| ~ sum(X1,X3,X2) )
| ~ spl0_9
| ~ spl0_68 ),
inference(resolution,[],[f657,f59]) ).
fof(f7542,plain,
( spl0_238
| ~ spl0_9
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f752,f652,f58,f7540]) ).
fof(f7540,plain,
( spl0_238
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X3) = X2
| ~ sum(X0,X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f752,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X3) = X2
| ~ sum(X0,X3,X2) )
| ~ spl0_9
| ~ spl0_67 ),
inference(resolution,[],[f653,f59]) ).
fof(f7538,plain,
( spl0_237
| ~ spl0_9
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f732,f638,f58,f7536]) ).
fof(f7536,plain,
( spl0_237
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(add(X1,X0),additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f732,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(add(X1,X0),additive_identity,X3) )
| ~ spl0_9
| ~ spl0_64 ),
inference(resolution,[],[f639,f59]) ).
fof(f7534,plain,
( spl0_236
| ~ spl0_9
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f707,f607,f58,f7532]) ).
fof(f7532,plain,
( spl0_236
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(add(X0,X1),additive_identity,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f707,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X2 = X3
| ~ sum(add(X0,X1),additive_identity,X3) )
| ~ spl0_9
| ~ spl0_63 ),
inference(resolution,[],[f608,f59]) ).
fof(f7530,plain,
( spl0_235
| ~ spl0_41
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2893,f2085,f306,f7528]) ).
fof(f7528,plain,
( spl0_235
<=> ! [X0,X1] :
( sum(additive_identity,X1,X0)
| ~ sum(additive_identity,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f2893,plain,
( ! [X0,X1] :
( sum(additive_identity,X1,X0)
| ~ sum(additive_identity,X0,X1) )
| ~ spl0_41
| ~ spl0_138 ),
inference(superposition,[],[f2086,f307]) ).
fof(f7526,plain,
( spl0_234
| ~ spl0_9
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f682,f603,f58,f7524]) ).
fof(f7524,plain,
( spl0_234
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,additive_identity)
| X2 = X3
| ~ sum(X0,add(X3,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f682,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| X2 = X3
| ~ sum(X0,add(X3,X1),X2) )
| ~ spl0_9
| ~ spl0_62 ),
inference(resolution,[],[f604,f59]) ).
fof(f7522,plain,
( spl0_233
| ~ spl0_9
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f661,f599,f58,f7520]) ).
fof(f661,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| X2 = X3
| ~ sum(X0,add(X1,X3),X2) )
| ~ spl0_9
| ~ spl0_61 ),
inference(resolution,[],[f600,f59]) ).
fof(f7518,plain,
( spl0_232
| ~ spl0_30
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f588,f431,f194,f7516]) ).
fof(f7516,plain,
( spl0_232
<=> ! [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_232])]) ).
fof(f588,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_inverse(X1),X3)
| sum(X0,additive_identity,X3) )
| ~ spl0_30
| ~ spl0_59 ),
inference(resolution,[],[f432,f195]) ).
fof(f7514,plain,
( spl0_231
| ~ spl0_27
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f587,f431,f182,f7512]) ).
fof(f7512,plain,
( spl0_231
<=> ! [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_231])]) ).
fof(f587,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,additive_identity)
| sum(X3,X0,additive_inverse(X1)) )
| ~ spl0_27
| ~ spl0_59 ),
inference(resolution,[],[f432,f183]) ).
fof(f7510,plain,
( spl0_230
| ~ spl0_30
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f553,f427,f194,f7508]) ).
fof(f7508,plain,
( spl0_230
<=> ! [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_230])]) ).
fof(f553,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(additive_inverse(X1),X1,X2)
| sum(X0,additive_identity,X2) )
| ~ spl0_30
| ~ spl0_58 ),
inference(resolution,[],[f428,f195]) ).
fof(f7506,plain,
( spl0_229
| ~ spl0_27
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f552,f427,f182,f7504]) ).
fof(f7504,plain,
( spl0_229
<=> ! [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_229])]) ).
fof(f552,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| ~ sum(X1,additive_inverse(X2),additive_identity)
| sum(X1,X0,X2) )
| ~ spl0_27
| ~ spl0_58 ),
inference(resolution,[],[f428,f183]) ).
fof(f7502,plain,
( spl0_228
| ~ spl0_30
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f536,f423,f194,f7500]) ).
fof(f7500,plain,
( spl0_228
<=> ! [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_228])]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_inverse(X1),X2)
| sum(additive_identity,additive_identity,X2) )
| ~ spl0_30
| ~ spl0_57 ),
inference(resolution,[],[f424,f195]) ).
fof(f7498,plain,
( spl0_227
| ~ spl0_27
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f535,f423,f182,f7496]) ).
fof(f7496,plain,
( spl0_227
<=> ! [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_227])]) ).
fof(f535,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,additive_identity)
| sum(X2,additive_identity,additive_inverse(X1)) )
| ~ spl0_27
| ~ spl0_57 ),
inference(resolution,[],[f424,f183]) ).
fof(f7494,plain,
( spl0_226
| ~ spl0_28
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f445,f403,f186,f7492]) ).
fof(f7492,plain,
( spl0_226
<=> ! [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_226])]) ).
fof(f445,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X2,X0,X3)
| sum(X2,additive_inverse(X1),X3) )
| ~ spl0_28
| ~ spl0_52 ),
inference(resolution,[],[f404,f187]) ).
fof(f7490,plain,
( spl0_225
| ~ spl0_29
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f444,f403,f190,f7488]) ).
fof(f7488,plain,
( spl0_225
<=> ! [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_225])]) ).
fof(f444,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(additive_inverse(X1),X2,X3) )
| ~ spl0_29
| ~ spl0_52 ),
inference(resolution,[],[f404,f191]) ).
fof(f7486,plain,
( spl0_224
| ~ spl0_35
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f2892,f2085,f261,f7484]) ).
fof(f7484,plain,
( spl0_224
<=> ! [X0,X1] :
( sum(X0,X1,X0)
| ~ sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f2892,plain,
( ! [X0,X1] :
( sum(X0,X1,X0)
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_35
| ~ spl0_138 ),
inference(superposition,[],[f2086,f262]) ).
fof(f6726,plain,
( spl0_223
| ~ spl0_35
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f2519,f2049,f261,f6724]) ).
fof(f6724,plain,
( spl0_223
<=> ! [X0,X1] :
( sum(X0,X1,X1)
| ~ sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2519,plain,
( ! [X0,X1] :
( sum(X0,X1,X1)
| ~ sum(additive_identity,X0,additive_identity) )
| ~ spl0_35
| ~ spl0_129 ),
inference(superposition,[],[f2050,f262]) ).
fof(f5900,plain,
( spl0_222
| ~ spl0_24
| ~ spl0_45
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2419,f2037,f338,f158,f5898]) ).
fof(f5898,plain,
( spl0_222
<=> ! [X0] :
( ~ sum(additive_identity,additive_inverse(X0),additive_identity)
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f158,plain,
( spl0_24
<=> additive_identity = additive_inverse(additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f2419,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_inverse(X0),additive_identity)
| additive_identity = X0 )
| ~ spl0_24
| ~ spl0_45
| ~ spl0_126 ),
inference(forward_demodulation,[],[f2414,f160]) ).
fof(f160,plain,
( additive_identity = additive_inverse(additive_identity)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f2414,plain,
( ! [X0] :
( ~ sum(additive_inverse(additive_identity),additive_inverse(X0),additive_identity)
| additive_identity = X0 )
| ~ spl0_45
| ~ spl0_126 ),
inference(superposition,[],[f2038,f339]) ).
fof(f5375,plain,
( spl0_221
| ~ spl0_35
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f2409,f2037,f261,f5373]) ).
fof(f5373,plain,
( spl0_221
<=> ! [X0] :
( ~ sum(additive_inverse(X0),additive_identity,additive_identity)
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f2409,plain,
( ! [X0] :
( ~ sum(additive_inverse(X0),additive_identity,additive_identity)
| additive_identity = X0 )
| ~ spl0_35
| ~ spl0_126 ),
inference(superposition,[],[f2038,f262]) ).
fof(f5212,plain,
( spl0_220
| ~ spl0_47
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1238,f1094,f358,f5210]) ).
fof(f5210,plain,
( spl0_220
<=> ! [X0,X3,X2,X1] :
( sum(X2,X1,add(add(X1,X0),X3))
| ~ sum(X3,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f1238,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X1,add(add(X1,X0),X3))
| ~ sum(X3,X0,X2) )
| ~ spl0_47
| ~ spl0_80 ),
inference(superposition,[],[f1095,f359]) ).
fof(f5208,plain,
( spl0_219
| ~ spl0_22
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1233,f1094,f146,f5206]) ).
fof(f5206,plain,
( spl0_219
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| additive_identity = add(add(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1233,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| additive_identity = add(add(X1,X2),X0) )
| ~ spl0_22
| ~ spl0_80 ),
inference(resolution,[],[f1095,f147]) ).
fof(f5204,plain,
( spl0_218
| ~ spl0_8
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1210,f1094,f49,f5202]) ).
fof(f5202,plain,
( spl0_218
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X3,X2,add(add(X1,X3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f1210,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X3,X2,add(add(X1,X3),X0)) )
| ~ spl0_8
| ~ spl0_80 ),
inference(resolution,[],[f1095,f50]) ).
fof(f5200,plain,
( spl0_217
| ~ spl0_47
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1197,f1090,f358,f5198]) ).
fof(f5198,plain,
( spl0_217
<=> ! [X0,X3,X2,X1] :
( sum(X2,X1,add(X3,add(X1,X0)))
| ~ sum(X3,X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f1197,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X1,add(X3,add(X1,X0)))
| ~ sum(X3,X0,X2) )
| ~ spl0_47
| ~ spl0_79 ),
inference(superposition,[],[f1091,f359]) ).
fof(f5196,plain,
( spl0_216
| ~ spl0_22
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1192,f1090,f146,f5194]) ).
fof(f5194,plain,
( spl0_216
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| additive_identity = add(X0,add(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1192,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| additive_identity = add(X0,add(X1,X2)) )
| ~ spl0_22
| ~ spl0_79 ),
inference(resolution,[],[f1091,f147]) ).
fof(f5192,plain,
( spl0_215
| ~ spl0_8
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1169,f1090,f49,f5190]) ).
fof(f5190,plain,
( spl0_215
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(X3,X2,add(X0,add(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f1169,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X3,X2,add(X0,add(X1,X3))) )
| ~ spl0_8
| ~ spl0_79 ),
inference(resolution,[],[f1091,f50]) ).
fof(f5188,plain,
( spl0_214
| ~ spl0_47
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1164,f1086,f358,f5186]) ).
fof(f5186,plain,
( spl0_214
<=> ! [X0,X3,X2,X1] :
( sum(X2,add(X1,X3),add(X1,X0))
| ~ sum(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f1164,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,add(X1,X3),add(X1,X0))
| ~ sum(X2,X3,X0) )
| ~ spl0_47
| ~ spl0_78 ),
inference(superposition,[],[f1087,f359]) ).
fof(f5184,plain,
( spl0_213
| ~ spl0_41
| ~ spl0_91
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2397,f2033,f1374,f306,f5182]) ).
fof(f5182,plain,
( spl0_213
<=> ! [X0,X1] :
( additive_inverse(X0) = X1
| ~ sum(X0,X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f2033,plain,
( spl0_125
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X1,X2),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f2397,plain,
( ! [X0,X1] :
( additive_inverse(X0) = X1
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_41
| ~ spl0_91
| ~ spl0_125 ),
inference(forward_demodulation,[],[f2371,f307]) ).
fof(f2371,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X0) = add(X1,additive_identity) )
| ~ spl0_91
| ~ spl0_125 ),
inference(resolution,[],[f2034,f1375]) ).
fof(f2034,plain,
( ! [X2,X0,X1] :
( sum(add(X1,X2),X0,X2)
| ~ sum(X0,X1,additive_identity) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f2033]) ).
fof(f5180,plain,
( spl0_212
| ~ spl0_22
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1153,f1086,f146,f5178]) ).
fof(f5178,plain,
( spl0_212
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| additive_identity = add(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f1153,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,X2)
| additive_identity = add(X2,X0) )
| ~ spl0_22
| ~ spl0_78 ),
inference(resolution,[],[f1087,f147]) ).
fof(f5176,plain,
( spl0_211
| ~ spl0_8
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1140,f1086,f49,f5174]) ).
fof(f5174,plain,
( spl0_211
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X3,X1),X0,add(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f1140,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X3,X1),X0,add(X2,X3)) )
| ~ spl0_8
| ~ spl0_78 ),
inference(resolution,[],[f1087,f50]) ).
fof(f5172,plain,
( spl0_210
| ~ spl0_47
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1134,f1082,f358,f5170]) ).
fof(f5170,plain,
( spl0_210
<=> ! [X0,X3,X2,X1] :
( sum(X2,add(X3,X1),add(X1,X0))
| ~ sum(X2,X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f1134,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,add(X3,X1),add(X1,X0))
| ~ sum(X2,X3,X0) )
| ~ spl0_47
| ~ spl0_77 ),
inference(superposition,[],[f1083,f359]) ).
fof(f5168,plain,
( spl0_209
| ~ spl0_22
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1123,f1082,f146,f5166]) ).
fof(f5166,plain,
( spl0_209
<=> ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| additive_identity = add(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f1123,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| additive_identity = add(X2,X1) )
| ~ spl0_22
| ~ spl0_77 ),
inference(resolution,[],[f1083,f147]) ).
fof(f5164,plain,
( spl0_208
| ~ spl0_8
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1110,f1082,f49,f5162]) ).
fof(f1110,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,X3),X0,add(X2,X3)) )
| ~ spl0_8
| ~ spl0_77 ),
inference(resolution,[],[f1083,f50]) ).
fof(f5160,plain,
( spl0_207
| ~ spl0_35
| ~ spl0_75
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1077,f847,f843,f261,f5158]) ).
fof(f1077,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(X2),X1,X0)
| sum(add(X0,additive_inverse(X1)),X2,additive_identity) )
| ~ spl0_35
| ~ spl0_75
| ~ spl0_76 ),
inference(forward_demodulation,[],[f1066,f262]) ).
fof(f1066,plain,
( ! [X2,X0,X1] :
( sum(add(X0,additive_inverse(X1)),X2,additive_identity)
| ~ sum(additive_inverse(add(additive_identity,X2)),X1,X0) )
| ~ spl0_75
| ~ spl0_76 ),
inference(resolution,[],[f848,f844]) ).
fof(f5156,plain,
( spl0_206
| ~ spl0_35
| ~ spl0_74
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1076,f847,f839,f261,f5154]) ).
fof(f5154,plain,
( spl0_206
<=> ! [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_206])]) ).
fof(f1076,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(X2),additive_inverse(X1),X0)
| sum(add(X0,X1),X2,additive_identity) )
| ~ spl0_35
| ~ spl0_74
| ~ spl0_76 ),
inference(forward_demodulation,[],[f1065,f262]) ).
fof(f1065,plain,
( ! [X2,X0,X1] :
( sum(add(X0,X1),X2,additive_identity)
| ~ sum(additive_inverse(add(additive_identity,X2)),additive_inverse(X1),X0) )
| ~ spl0_74
| ~ spl0_76 ),
inference(resolution,[],[f848,f840]) ).
fof(f5152,plain,
( spl0_205
| ~ spl0_57
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1058,f847,f423,f5150]) ).
fof(f5150,plain,
( spl0_205
<=> ! [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_205])]) ).
fof(f1058,plain,
( ! [X0,X1] :
( sum(additive_identity,X0,additive_identity)
| ~ sum(additive_inverse(add(additive_inverse(X1),X0)),additive_identity,X1) )
| ~ spl0_57
| ~ spl0_76 ),
inference(resolution,[],[f848,f424]) ).
fof(f5148,plain,
( spl0_204
| ~ spl0_59
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1056,f847,f431,f5146]) ).
fof(f5146,plain,
( spl0_204
<=> ! [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_204])]) ).
fof(f1056,plain,
( ! [X2,X0,X1] :
( sum(X0,X1,additive_identity)
| ~ sum(X0,X2,additive_inverse(add(additive_inverse(X2),X1))) )
| ~ spl0_59
| ~ spl0_76 ),
inference(resolution,[],[f848,f432]) ).
fof(f5143,plain,
( spl0_203
| ~ spl0_25
| ~ spl0_47
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f982,f835,f358,f167,f5141]) ).
fof(f5141,plain,
( spl0_203
<=> ! [X2,X0,X1] :
( add(X2,add(additive_inverse(X2),X0)) = X1
| ~ sum(X0,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f982,plain,
( ! [X2,X0,X1] :
( add(X2,add(additive_inverse(X2),X0)) = X1
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_25
| ~ spl0_47
| ~ spl0_73 ),
inference(forward_demodulation,[],[f957,f359]) ).
fof(f957,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(add(additive_inverse(X2),X0),X2) = X1 )
| ~ spl0_25
| ~ spl0_73 ),
inference(resolution,[],[f836,f168]) ).
fof(f5139,plain,
( spl0_202
| ~ spl0_35
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2391,f2033,f261,f5137]) ).
fof(f5137,plain,
( spl0_202
<=> ! [X0,X1] :
( sum(X0,X1,X0)
| ~ sum(X1,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f2391,plain,
( ! [X0,X1] :
( sum(X0,X1,X0)
| ~ sum(X1,additive_identity,additive_identity) )
| ~ spl0_35
| ~ spl0_125 ),
inference(superposition,[],[f2034,f262]) ).
fof(f5134,plain,
( spl0_201
| ~ spl0_25
| ~ spl0_47
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f943,f831,f358,f167,f5132]) ).
fof(f5132,plain,
( spl0_201
<=> ! [X2,X0,X1] :
( add(X2,add(X0,additive_inverse(X2))) = X1
| ~ sum(X0,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( add(X2,add(X0,additive_inverse(X2))) = X1
| ~ sum(X0,additive_identity,X1) )
| ~ spl0_25
| ~ spl0_47
| ~ spl0_72 ),
inference(forward_demodulation,[],[f918,f359]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(add(X0,additive_inverse(X2)),X2) = X1 )
| ~ spl0_25
| ~ spl0_72 ),
inference(resolution,[],[f832,f168]) ).
fof(f5130,plain,
( spl0_200
| ~ spl0_50
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f880,f827,f395,f5128]) ).
fof(f5128,plain,
( spl0_200
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(additive_inverse(X2),X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f880,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(additive_inverse(X2),X1),X0) )
| ~ spl0_50
| ~ spl0_71 ),
inference(resolution,[],[f828,f396]) ).
fof(f5126,plain,
( spl0_199
| ~ spl0_25
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f876,f827,f167,f5124]) ).
fof(f5124,plain,
( spl0_199
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(additive_inverse(X2),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f876,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(additive_inverse(X2),X1)) )
| ~ spl0_25
| ~ spl0_71 ),
inference(resolution,[],[f828,f168]) ).
fof(f5122,plain,
( spl0_198
| ~ spl0_50
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f859,f823,f395,f5120]) ).
fof(f859,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(add(X1,additive_inverse(X2)),X0) )
| ~ spl0_50
| ~ spl0_70 ),
inference(resolution,[],[f824,f396]) ).
fof(f5118,plain,
( spl0_197
| ~ spl0_25
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f855,f823,f167,f5116]) ).
fof(f855,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| additive_identity = add(X0,add(X1,additive_inverse(X2))) )
| ~ spl0_25
| ~ spl0_70 ),
inference(resolution,[],[f824,f168]) ).
fof(f5114,plain,
( spl0_196
| ~ spl0_28
| ~ spl0_41
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f821,f656,f306,f186,f5112]) ).
fof(f5112,plain,
( spl0_196
<=> ! [X0,X3,X2,X1] :
( sum(X2,X0,X3)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f821,plain,
( ! [X2,X3,X0,X1] :
( sum(X2,X0,X3)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3) )
| ~ spl0_28
| ~ spl0_41
| ~ spl0_68 ),
inference(forward_demodulation,[],[f800,f307]) ).
fof(f800,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X2,X1,X3)
| sum(X2,add(X0,additive_identity),X3) )
| ~ spl0_28
| ~ spl0_68 ),
inference(resolution,[],[f657,f187]) ).
fof(f5110,plain,
( spl0_195
| ~ spl0_29
| ~ spl0_41
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f820,f656,f306,f190,f5108]) ).
fof(f5108,plain,
( spl0_195
<=> ! [X0,X3,X2,X1] :
( sum(X0,X2,X3)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f820,plain,
( ! [X2,X3,X0,X1] :
( sum(X0,X2,X3)
| ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3) )
| ~ spl0_29
| ~ spl0_41
| ~ spl0_68 ),
inference(forward_demodulation,[],[f799,f307]) ).
fof(f799,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| ~ sum(X1,X2,X3)
| sum(add(X0,additive_identity),X2,X3) )
| ~ spl0_29
| ~ spl0_68 ),
inference(resolution,[],[f657,f191]) ).
fof(f5106,plain,
( spl0_194
| ~ spl0_37
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f680,f603,f277,f5104]) ).
fof(f680,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| sum(X3,X1,X2) )
| ~ spl0_37
| ~ spl0_62 ),
inference(resolution,[],[f604,f278]) ).
fof(f5102,plain,
( spl0_193
| ~ spl0_37
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f659,f599,f277,f5100]) ).
fof(f659,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X1,X2)
| sum(X2,X3,X3) )
| ~ spl0_37
| ~ spl0_61 ),
inference(resolution,[],[f600,f278]) ).
fof(f5098,plain,
( spl0_192
| ~ spl0_9
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f583,f431,f58,f5096]) ).
fof(f5096,plain,
( spl0_192
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X2,additive_inverse(X1),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f583,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| X0 = X3
| ~ sum(X2,additive_inverse(X1),X3) )
| ~ spl0_9
| ~ spl0_59 ),
inference(resolution,[],[f432,f59]) ).
fof(f5094,plain,
( spl0_191
| ~ spl0_14
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2319,f2019,f84,f5092]) ).
fof(f5092,plain,
( spl0_191
<=> ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f2319,plain,
( ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1
| ~ spl0_14
| ~ spl0_122 ),
inference(resolution,[],[f2020,f85]) ).
fof(f5090,plain,
( spl0_190
| ~ spl0_32
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f580,f431,f234,f5088]) ).
fof(f580,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X2,X1)
| sum(X3,X0,additive_identity) )
| ~ spl0_32
| ~ spl0_59 ),
inference(resolution,[],[f432,f235]) ).
fof(f5086,plain,
( spl0_189
| ~ spl0_33
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f579,f431,f238,f5084]) ).
fof(f5084,plain,
( spl0_189
<=> ! [X0,X3,X2,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f579,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,additive_identity,X3)
| sum(X0,X1,X3) )
| ~ spl0_33
| ~ spl0_59 ),
inference(resolution,[],[f432,f239]) ).
fof(f5082,plain,
( spl0_188
| ~ spl0_9
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f548,f427,f58,f5080]) ).
fof(f5080,plain,
( spl0_188
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| X0 = X1
| ~ sum(additive_inverse(X2),X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f548,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| X0 = X1
| ~ sum(additive_inverse(X2),X2,X1) )
| ~ spl0_9
| ~ spl0_58 ),
inference(resolution,[],[f428,f59]) ).
fof(f5078,plain,
( spl0_187
| ~ spl0_9
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f531,f423,f58,f5076]) ).
fof(f5076,plain,
( spl0_187
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = X2
| ~ sum(X0,additive_inverse(X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f531,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = X2
| ~ sum(X0,additive_inverse(X1),X2) )
| ~ spl0_9
| ~ spl0_57 ),
inference(resolution,[],[f424,f59]) ).
fof(f5074,plain,
( spl0_186
| ~ spl0_32
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f529,f423,f234,f5072]) ).
fof(f529,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X2,X0,X1)
| sum(X2,additive_identity,additive_identity) )
| ~ spl0_32
| ~ spl0_57 ),
inference(resolution,[],[f424,f235]) ).
fof(f5070,plain,
( spl0_185
| ~ spl0_33
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f528,f423,f238,f5068]) ).
fof(f5068,plain,
( spl0_185
<=> ! [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_185])]) ).
fof(f528,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_identity,X2)
| sum(additive_identity,X1,X2) )
| ~ spl0_33
| ~ spl0_57 ),
inference(resolution,[],[f424,f239]) ).
fof(f5066,plain,
( spl0_184
| ~ spl0_9
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f449,f403,f58,f5064]) ).
fof(f5064,plain,
( spl0_184
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X2
| ~ sum(X0,additive_identity,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f449,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X2
| ~ sum(X0,additive_identity,X2) )
| ~ spl0_9
| ~ spl0_52 ),
inference(resolution,[],[f404,f59]) ).
fof(f5062,plain,
( spl0_183
| ~ spl0_31
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f447,f403,f230,f5060]) ).
fof(f5060,plain,
( spl0_183
<=> ! [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_183])]) ).
fof(f447,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(additive_identity,X1,X2)
| sum(X0,X2,additive_identity) )
| ~ spl0_31
| ~ spl0_52 ),
inference(resolution,[],[f404,f231]) ).
fof(f4952,plain,
( spl0_182
| ~ spl0_7
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f2318,f2019,f45,f4950]) ).
fof(f4950,plain,
( spl0_182
<=> ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f2318,plain,
( ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1
| ~ spl0_7
| ~ spl0_122 ),
inference(resolution,[],[f2020,f46]) ).
fof(f4360,plain,
( spl0_181
| ~ spl0_14
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2257,f2011,f84,f4358]) ).
fof(f2011,plain,
( spl0_120
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,additive_inverse(X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f2257,plain,
( ! [X0,X1] : add(add(X0,X1),additive_inverse(X0)) = X1
| ~ spl0_14
| ~ spl0_120 ),
inference(resolution,[],[f2012,f85]) ).
fof(f2012,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,additive_inverse(X1)) = X0 )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f3886,plain,
( spl0_180
| ~ spl0_7
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f2256,f2011,f45,f3884]) ).
fof(f2256,plain,
( ! [X0,X1] : add(add(X0,X1),additive_inverse(X1)) = X0
| ~ spl0_7
| ~ spl0_120 ),
inference(resolution,[],[f2012,f46]) ).
fof(f3674,plain,
( spl0_179
| ~ spl0_20
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1150,f1086,f128,f3672]) ).
fof(f3672,plain,
( spl0_179
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X1,X2) = add(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f128,plain,
( spl0_20
<=> ! [X0,X1] :
( X0 = X1
| ~ sum(additive_identity,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1150,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X1,X2) = add(X2,X0) )
| ~ spl0_20
| ~ spl0_78 ),
inference(resolution,[],[f1087,f129]) ).
fof(f129,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X1,X0)
| X0 = X1 )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f3670,plain,
( spl0_178
| ~ spl0_47
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1071,f847,f358,f3668]) ).
fof(f1071,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X1,X0)),X0,X2)
| sum(X2,X1,additive_identity) )
| ~ spl0_47
| ~ spl0_76 ),
inference(superposition,[],[f848,f359]) ).
fof(f3666,plain,
( spl0_177
| ~ spl0_47
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1044,f843,f358,f3664]) ).
fof(f3664,plain,
( spl0_177
<=> ! [X2,X0,X1] :
( sum(X2,additive_identity,add(additive_inverse(X1),X0))
| ~ sum(X2,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1044,plain,
( ! [X2,X0,X1] :
( sum(X2,additive_identity,add(additive_inverse(X1),X0))
| ~ sum(X2,X1,X0) )
| ~ spl0_47
| ~ spl0_75 ),
inference(superposition,[],[f844,f359]) ).
fof(f3662,plain,
( spl0_176
| ~ spl0_8
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1027,f843,f49,f3660]) ).
fof(f3660,plain,
( spl0_176
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,X0,add(X2,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,X0,add(X2,additive_inverse(X1))) )
| ~ spl0_8
| ~ spl0_75 ),
inference(resolution,[],[f844,f50]) ).
fof(f3658,plain,
( spl0_175
| ~ spl0_47
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1012,f839,f358,f3656]) ).
fof(f1012,plain,
( ! [X2,X0,X1] :
( sum(X2,additive_identity,add(X1,X0))
| ~ sum(X2,additive_inverse(X1),X0) )
| ~ spl0_47
| ~ spl0_74 ),
inference(superposition,[],[f840,f359]) ).
fof(f3604,plain,
( spl0_174
| ~ spl0_8
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f996,f839,f49,f3602]) ).
fof(f3602,plain,
( spl0_174
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(additive_identity,X0,add(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f996,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(additive_identity,X0,add(X2,X1)) )
| ~ spl0_8
| ~ spl0_74 ),
inference(resolution,[],[f840,f50]) ).
fof(f3600,plain,
( spl0_173
| ~ spl0_49
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f963,f835,f384,f3598]) ).
fof(f3598,plain,
( spl0_173
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(additive_inverse(X1),X0),additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f963,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(additive_inverse(X1),X0),additive_identity,additive_identity) )
| ~ spl0_49
| ~ spl0_73 ),
inference(resolution,[],[f836,f385]) ).
fof(f3596,plain,
( spl0_172
| ~ spl0_8
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f953,f835,f49,f3594]) ).
fof(f3594,plain,
( spl0_172
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,add(additive_inverse(X2),X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f953,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,add(additive_inverse(X2),X0),X1) )
| ~ spl0_8
| ~ spl0_73 ),
inference(resolution,[],[f836,f50]) ).
fof(f3592,plain,
( spl0_171
| ~ spl0_49
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f924,f831,f384,f3590]) ).
fof(f3590,plain,
( spl0_171
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,additive_inverse(X1)),additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f924,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,additive_inverse(X1)),additive_identity,additive_identity) )
| ~ spl0_49
| ~ spl0_72 ),
inference(resolution,[],[f832,f385]) ).
fof(f3588,plain,
( spl0_170
| ~ spl0_8
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f914,f831,f49,f3586]) ).
fof(f3586,plain,
( spl0_170
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,add(X0,additive_inverse(X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,add(X0,additive_inverse(X2)),X1) )
| ~ spl0_8
| ~ spl0_72 ),
inference(resolution,[],[f832,f50]) ).
fof(f3584,plain,
( spl0_169
| ~ spl0_8
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f872,f827,f49,f3582]) ).
fof(f3582,plain,
( spl0_169
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(additive_inverse(X2),X1),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f872,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(additive_inverse(X2),X1),X0,additive_identity) )
| ~ spl0_8
| ~ spl0_71 ),
inference(resolution,[],[f828,f50]) ).
fof(f3580,plain,
( spl0_168
| ~ spl0_8
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f851,f823,f49,f3578]) ).
fof(f3578,plain,
( spl0_168
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,additive_inverse(X2)),X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f851,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,additive_inverse(X2)),X0,additive_identity) )
| ~ spl0_8
| ~ spl0_70 ),
inference(resolution,[],[f824,f50]) ).
fof(f3576,plain,
( spl0_167
| ~ spl0_53
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f811,f656,f407,f3574]) ).
fof(f3574,plain,
( spl0_167
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_identity,additive_identity,add(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f811,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_identity,additive_identity,add(X0,X1)) )
| ~ spl0_53
| ~ spl0_68 ),
inference(resolution,[],[f657,f408]) ).
fof(f3572,plain,
( spl0_166
| ~ spl0_54
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f805,f656,f411,f3570]) ).
fof(f3570,plain,
( spl0_166
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,additive_identity,add(X0,additive_inverse(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f805,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_identity,additive_identity,add(X0,additive_inverse(X1))) )
| ~ spl0_54
| ~ spl0_68 ),
inference(resolution,[],[f657,f412]) ).
fof(f3568,plain,
( spl0_165
| ~ spl0_50
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f797,f656,f395,f3566]) ).
fof(f3566,plain,
( spl0_165
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X2,X1) = add(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f797,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X2,X1) = add(X0,X2) )
| ~ spl0_50
| ~ spl0_68 ),
inference(resolution,[],[f657,f396]) ).
fof(f3528,plain,
( spl0_164
| ~ spl0_25
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f793,f656,f167,f3526]) ).
fof(f3526,plain,
( spl0_164
<=> ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X1,X2) = add(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f793,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| add(X1,X2) = add(X0,X2) )
| ~ spl0_25
| ~ spl0_68 ),
inference(resolution,[],[f657,f168]) ).
fof(f3524,plain,
( spl0_163
| ~ spl0_53
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f773,f652,f407,f3522]) ).
fof(f3522,plain,
( spl0_163
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_identity,additive_identity,add(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f773,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_identity,additive_identity,add(X1,X0)) )
| ~ spl0_53
| ~ spl0_67 ),
inference(resolution,[],[f653,f408]) ).
fof(f3520,plain,
( spl0_162
| ~ spl0_55
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f772,f652,f415,f3518]) ).
fof(f3518,plain,
( spl0_162
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_identity,add(X1,X0),additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(additive_identity,add(X1,X0),additive_identity) )
| ~ spl0_55
| ~ spl0_67 ),
inference(resolution,[],[f653,f416]) ).
fof(f3516,plain,
( spl0_161
| ~ spl0_54
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f767,f652,f411,f3514]) ).
fof(f3514,plain,
( spl0_161
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_identity,additive_identity,add(X1,additive_inverse(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f767,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_identity,additive_identity,add(X1,additive_inverse(X0))) )
| ~ spl0_54
| ~ spl0_67 ),
inference(resolution,[],[f653,f412]) ).
fof(f3512,plain,
( spl0_160
| ~ spl0_50
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f759,f652,f395,f3510]) ).
fof(f3510,plain,
( spl0_160
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X2) = add(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f759,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X2) = add(X2,X0) )
| ~ spl0_50
| ~ spl0_67 ),
inference(resolution,[],[f653,f396]) ).
fof(f3508,plain,
( spl0_159
| ~ spl0_25
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f755,f652,f167,f3506]) ).
fof(f3506,plain,
( spl0_159
<=> ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X2) = add(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f755,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| add(X1,X2) = add(X0,X2) )
| ~ spl0_25
| ~ spl0_67 ),
inference(resolution,[],[f653,f168]) ).
fof(f3504,plain,
( spl0_158
| ~ spl0_53
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f693,f603,f407,f3502]) ).
fof(f693,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_53
| ~ spl0_62 ),
inference(resolution,[],[f604,f408]) ).
fof(f3500,plain,
( spl0_157
| ~ spl0_50
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f689,f603,f395,f3498]) ).
fof(f3498,plain,
( spl0_157
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X2,X1),X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f689,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X2,X1),X0) = X2 )
| ~ spl0_50
| ~ spl0_62 ),
inference(resolution,[],[f604,f396]) ).
fof(f3496,plain,
( spl0_156
| ~ spl0_25
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f685,f603,f167,f3494]) ).
fof(f685,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X2,X1)) = X2 )
| ~ spl0_25
| ~ spl0_62 ),
inference(resolution,[],[f604,f168]) ).
fof(f3492,plain,
( spl0_155
| ~ spl0_53
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f672,f599,f407,f3490]) ).
fof(f672,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_53
| ~ spl0_61 ),
inference(resolution,[],[f600,f408]) ).
fof(f3488,plain,
( spl0_154
| ~ spl0_59
| ~ spl0_69
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f3092,f2061,f786,f431,f3486]) ).
fof(f3486,plain,
( spl0_154
<=> ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f3092,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,X0,X1) )
| ~ spl0_59
| ~ spl0_69
| ~ spl0_132 ),
inference(forward_demodulation,[],[f3064,f787]) ).
fof(f3064,plain,
( ! [X0,X1] :
( additive_identity = additive_inverse(additive_inverse(X0))
| ~ sum(X1,X0,X1) )
| ~ spl0_59
| ~ spl0_132 ),
inference(resolution,[],[f2062,f432]) ).
fof(f3484,plain,
( spl0_153
| ~ spl0_50
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f668,f599,f395,f3482]) ).
fof(f3482,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X1,X2),X0) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f668,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(add(X1,X2),X0) = X2 )
| ~ spl0_50
| ~ spl0_61 ),
inference(resolution,[],[f600,f396]) ).
fof(f3480,plain,
( spl0_152
| ~ spl0_25
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f664,f599,f167,f3478]) ).
fof(f664,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| add(X0,add(X1,X2)) = X2 )
| ~ spl0_25
| ~ spl0_61 ),
inference(resolution,[],[f600,f168]) ).
fof(f2139,plain,
( spl0_151
| ~ spl0_41
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1236,f1094,f306,f2137]) ).
fof(f1236,plain,
( ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X0,X2))
| ~ sum(X2,X0,X1) )
| ~ spl0_41
| ~ spl0_80 ),
inference(superposition,[],[f1095,f307]) ).
fof(f2135,plain,
( spl0_150
| ~ spl0_35
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f1235,f1094,f261,f2133]) ).
fof(f1235,plain,
( ! [X2,X0,X1] :
( sum(X1,X0,add(X0,X2))
| ~ sum(X2,additive_identity,X1) )
| ~ spl0_35
| ~ spl0_80 ),
inference(superposition,[],[f1095,f262]) ).
fof(f2131,plain,
( spl0_149
| ~ spl0_41
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1195,f1090,f306,f2129]) ).
fof(f1195,plain,
( ! [X2,X0,X1] :
( sum(X1,additive_identity,add(X2,X0))
| ~ sum(X2,X0,X1) )
| ~ spl0_41
| ~ spl0_79 ),
inference(superposition,[],[f1091,f307]) ).
fof(f2127,plain,
( spl0_148
| ~ spl0_35
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1194,f1090,f261,f2125]) ).
fof(f1194,plain,
( ! [X2,X0,X1] :
( sum(X1,X0,add(X2,X0))
| ~ sum(X2,additive_identity,X1) )
| ~ spl0_35
| ~ spl0_79 ),
inference(superposition,[],[f1091,f262]) ).
fof(f2123,plain,
( spl0_147
| ~ spl0_35
| ~ spl0_52
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1078,f847,f403,f261,f2121]) ).
fof(f1078,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X1),X0,additive_identity)
| sum(additive_inverse(X0),X1,additive_identity) )
| ~ spl0_35
| ~ spl0_52
| ~ spl0_76 ),
inference(forward_demodulation,[],[f1067,f262]) ).
fof(f1067,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X1,additive_identity)
| ~ sum(additive_inverse(add(additive_identity,X1)),X0,additive_identity) )
| ~ spl0_52
| ~ spl0_76 ),
inference(resolution,[],[f848,f404]) ).
fof(f2119,plain,
( spl0_146
| ~ spl0_21
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f995,f839,f132,f2117]) ).
fof(f995,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| add(X2,X1) = X0 )
| ~ spl0_21
| ~ spl0_74 ),
inference(resolution,[],[f840,f133]) ).
fof(f2115,plain,
( spl0_145
| ~ spl0_51
| ~ spl0_69
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f990,f835,f786,f399,f2113]) ).
fof(f990,plain,
( ! [X0,X1] :
( sum(add(X1,X0),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_51
| ~ spl0_69
| ~ spl0_73 ),
inference(forward_demodulation,[],[f974,f787]) ).
fof(f974,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(add(additive_inverse(additive_inverse(X1)),X0),additive_identity,X1) )
| ~ spl0_51
| ~ spl0_73 ),
inference(resolution,[],[f836,f400]) ).
fof(f2111,plain,
( spl0_144
| ~ spl0_51
| ~ spl0_69
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f951,f831,f786,f399,f2109]) ).
fof(f951,plain,
( ! [X0,X1] :
( sum(add(X0,X1),additive_identity,X1)
| ~ sum(X0,additive_identity,additive_identity) )
| ~ spl0_51
| ~ spl0_69
| ~ spl0_72 ),
inference(forward_demodulation,[],[f935,f787]) ).
fof(f935,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(add(X0,additive_inverse(additive_inverse(X1))),additive_identity,X1) )
| ~ spl0_51
| ~ spl0_72 ),
inference(resolution,[],[f832,f400]) ).
fof(f2107,plain,
( spl0_143
| ~ spl0_24
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1805,f1594,f158,f2105]) ).
fof(f2105,plain,
( spl0_143
<=> ! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ sum(X1,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1805,plain,
( ! [X0,X1] :
( sum(additive_identity,X0,X1)
| ~ sum(X1,additive_identity,X0) )
| ~ spl0_24
| ~ spl0_107 ),
inference(superposition,[],[f1595,f160]) ).
fof(f2103,plain,
( spl0_142
| ~ spl0_20
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f881,f827,f128,f2101]) ).
fof(f2101,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_identity = add(additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f881,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_identity = add(additive_inverse(X1),X0) )
| ~ spl0_20
| ~ spl0_71 ),
inference(resolution,[],[f828,f129]) ).
fof(f2099,plain,
( spl0_141
| ~ spl0_47
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f816,f656,f358,f2097]) ).
fof(f816,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(additive_identity,X0,X2) )
| ~ spl0_47
| ~ spl0_68 ),
inference(superposition,[],[f657,f359]) ).
fof(f2095,plain,
( spl0_140
| ~ spl0_22
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f812,f656,f146,f2093]) ).
fof(f2093,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_identity = add(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f812,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| additive_identity = add(X0,X1) )
| ~ spl0_22
| ~ spl0_68 ),
inference(resolution,[],[f657,f147]) ).
fof(f2091,plain,
( spl0_139
| ~ spl0_23
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f806,f656,f150,f2089]) ).
fof(f2089,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_identity = add(X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f806,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| additive_identity = add(X0,additive_inverse(X1)) )
| ~ spl0_23
| ~ spl0_68 ),
inference(resolution,[],[f657,f151]) ).
fof(f2087,plain,
( spl0_138
| ~ spl0_8
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f789,f656,f49,f2085]) ).
fof(f789,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X2,X1,add(X0,X2)) )
| ~ spl0_8
| ~ spl0_68 ),
inference(resolution,[],[f657,f50]) ).
fof(f2083,plain,
( spl0_137
| ~ spl0_47
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f778,f652,f358,f2081]) ).
fof(f778,plain,
( ! [X2,X0,X1] :
( sum(X2,X1,add(X1,X0))
| ~ sum(X2,additive_identity,X0) )
| ~ spl0_47
| ~ spl0_67 ),
inference(superposition,[],[f653,f359]) ).
fof(f2079,plain,
( spl0_136
| ~ spl0_22
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f774,f652,f146,f2077]) ).
fof(f2077,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| additive_identity = add(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f774,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| additive_identity = add(X1,X0) )
| ~ spl0_22
| ~ spl0_67 ),
inference(resolution,[],[f653,f147]) ).
fof(f2075,plain,
( spl0_135
| ~ spl0_23
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f768,f652,f150,f2073]) ).
fof(f2073,plain,
( spl0_135
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(X1,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f768,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(X1,additive_inverse(X0)) )
| ~ spl0_23
| ~ spl0_67 ),
inference(resolution,[],[f653,f151]) ).
fof(f2071,plain,
( spl0_134
| ~ spl0_8
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f751,f652,f49,f2069]) ).
fof(f751,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X2,X0,add(X1,X2)) )
| ~ spl0_8
| ~ spl0_67 ),
inference(resolution,[],[f653,f50]) ).
fof(f2067,plain,
( spl0_133
| ~ spl0_8
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f731,f638,f49,f2065]) ).
fof(f2065,plain,
( spl0_133
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X1,X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f731,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X1,X0),X2) )
| ~ spl0_8
| ~ spl0_64 ),
inference(resolution,[],[f639,f50]) ).
fof(f2063,plain,
( spl0_132
| ~ spl0_82
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1776,f1594,f1102,f2061]) ).
fof(f1776,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X0)
| additive_identity = additive_inverse(X1) )
| ~ spl0_82
| ~ spl0_107 ),
inference(resolution,[],[f1595,f1103]) ).
fof(f2059,plain,
( spl0_131
| ~ spl0_48
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f730,f638,f380,f2057]) ).
fof(f730,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X1,X0),X2,X2) )
| ~ spl0_48
| ~ spl0_64 ),
inference(resolution,[],[f639,f381]) ).
fof(f2055,plain,
( spl0_130
| ~ spl0_8
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f706,f607,f49,f2053]) ).
fof(f2053,plain,
( spl0_130
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f706,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_identity,add(X0,X1),X2) )
| ~ spl0_8
| ~ spl0_63 ),
inference(resolution,[],[f608,f50]) ).
fof(f2051,plain,
( spl0_129
| ~ spl0_48
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f705,f607,f380,f2049]) ).
fof(f705,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X0,X1),X2,X2) )
| ~ spl0_48
| ~ spl0_63 ),
inference(resolution,[],[f608,f381]) ).
fof(f2047,plain,
( spl0_128
| ~ spl0_22
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f694,f603,f146,f2045]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X1,additive_identity)
| additive_identity = X0 )
| ~ spl0_22
| ~ spl0_62 ),
inference(resolution,[],[f604,f147]) ).
fof(f2043,plain,
( spl0_127
| ~ spl0_8
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f681,f603,f49,f2041]) ).
fof(f2041,plain,
( spl0_127
<=> ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X2,X1),X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f681,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X2,X1),X0,X2) )
| ~ spl0_8
| ~ spl0_62 ),
inference(resolution,[],[f604,f50]) ).
fof(f2039,plain,
( spl0_126
| ~ spl0_22
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f673,f599,f146,f2037]) ).
fof(f673,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,additive_identity)
| additive_identity = X1 )
| ~ spl0_22
| ~ spl0_61 ),
inference(resolution,[],[f600,f147]) ).
fof(f2035,plain,
( spl0_125
| ~ spl0_8
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f660,f599,f49,f2033]) ).
fof(f660,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(add(X1,X2),X0,X2) )
| ~ spl0_8
| ~ spl0_61 ),
inference(resolution,[],[f600,f50]) ).
fof(f2030,plain,
( spl0_124
| ~ spl0_53
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f595,f431,f407,f2028]) ).
fof(f2028,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_inverse(additive_inverse(X1)))
| sum(additive_identity,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f595,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_inverse(additive_inverse(X1)))
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_53
| ~ spl0_59 ),
inference(resolution,[],[f432,f408]) ).
fof(f2025,plain,
( spl0_123
| ~ spl0_55
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f594,f431,f415,f2023]) ).
fof(f2023,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_inverse(additive_inverse(X1)))
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f594,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_inverse(additive_inverse(X1)))
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_55
| ~ spl0_59 ),
inference(resolution,[],[f432,f416]) ).
fof(f2021,plain,
( spl0_122
| ~ spl0_50
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f590,f431,f395,f2019]) ).
fof(f590,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(additive_inverse(X1),X2) = X0 )
| ~ spl0_50
| ~ spl0_59 ),
inference(resolution,[],[f432,f396]) ).
fof(f2017,plain,
( spl0_121
| ~ spl0_55
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1771,f1594,f415,f2015]) ).
fof(f2015,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1771,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_55
| ~ spl0_107 ),
inference(resolution,[],[f1595,f416]) ).
fof(f2013,plain,
( spl0_120
| ~ spl0_25
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f586,f431,f167,f2011]) ).
fof(f586,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X2,additive_inverse(X1)) = X0 )
| ~ spl0_25
| ~ spl0_59 ),
inference(resolution,[],[f432,f168]) ).
fof(f2009,plain,
( spl0_119
| ~ spl0_50
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f538,f423,f395,f2007]) ).
fof(f2007,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(additive_inverse(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f538,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(additive_inverse(X1),X0) )
| ~ spl0_50
| ~ spl0_57 ),
inference(resolution,[],[f424,f396]) ).
fof(f2005,plain,
( spl0_118
| ~ spl0_25
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f534,f423,f167,f2003]) ).
fof(f2003,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f534,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| additive_identity = add(X0,additive_inverse(X1)) )
| ~ spl0_25
| ~ spl0_57 ),
inference(resolution,[],[f424,f168]) ).
fof(f2001,plain,
( spl0_117
| ~ spl0_51
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f519,f419,f399,f1999]) ).
fof(f419,plain,
( spl0_56
<=> ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(X0),X1,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f519,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_inverse(X1))
| sum(additive_inverse(X0),additive_identity,X1) )
| ~ spl0_51
| ~ spl0_56 ),
inference(resolution,[],[f420,f400]) ).
fof(f420,plain,
( ! [X0,X1] :
( sum(additive_inverse(X0),X1,additive_identity)
| ~ sum(additive_identity,X0,X1) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f1840,plain,
( spl0_116
| ~ spl0_82
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1748,f1590,f1102,f1838]) ).
fof(f1838,plain,
( spl0_116
<=> ! [X0] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1748,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,additive_inverse(X0))
| additive_identity = X0 )
| ~ spl0_82
| ~ spl0_106 ),
inference(resolution,[],[f1591,f1103]) ).
fof(f1629,plain,
( spl0_115
| ~ spl0_7
| ~ spl0_47
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1075,f847,f358,f45,f1627]) ).
fof(f1075,plain,
( ! [X0,X1] : sum(add(X0,additive_inverse(add(X0,X1))),X1,additive_identity)
| ~ spl0_7
| ~ spl0_47
| ~ spl0_76 ),
inference(forward_demodulation,[],[f1061,f359]) ).
fof(f1061,plain,
( ! [X0,X1] : sum(add(additive_inverse(add(X0,X1)),X0),X1,additive_identity)
| ~ spl0_7
| ~ spl0_76 ),
inference(resolution,[],[f848,f46]) ).
fof(f1625,plain,
( spl0_114
| ~ spl0_35
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1068,f847,f261,f1623]) ).
fof(f1623,plain,
( spl0_114
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(X1,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1068,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),additive_identity,X1)
| sum(X1,X0,additive_identity) )
| ~ spl0_35
| ~ spl0_76 ),
inference(superposition,[],[f848,f262]) ).
fof(f1621,plain,
( spl0_113
| ~ spl0_45
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f780,f652,f338,f1619]) ).
fof(f1619,plain,
( spl0_113
<=> ! [X0,X1] :
( sum(X1,X0,additive_identity)
| ~ sum(X1,additive_identity,additive_inverse(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f780,plain,
( ! [X0,X1] :
( sum(X1,X0,additive_identity)
| ~ sum(X1,additive_identity,additive_inverse(X0)) )
| ~ spl0_45
| ~ spl0_67 ),
inference(superposition,[],[f653,f339]) ).
fof(f1617,plain,
( spl0_112
| ~ spl0_20
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f771,f652,f128,f1615]) ).
fof(f1615,plain,
( spl0_112
<=> ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| add(X0,X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f771,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| add(X0,X1) = X1 )
| ~ spl0_20
| ~ spl0_67 ),
inference(resolution,[],[f653,f129]) ).
fof(f1613,plain,
( spl0_111
| ~ spl0_20
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f691,f603,f128,f1611]) ).
fof(f691,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(X1,X0) = X1 )
| ~ spl0_20
| ~ spl0_62 ),
inference(resolution,[],[f604,f129]) ).
fof(f1609,plain,
( spl0_110
| ~ spl0_20
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f670,f599,f128,f1607]) ).
fof(f670,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| add(X0,X1) = X1 )
| ~ spl0_20
| ~ spl0_61 ),
inference(resolution,[],[f600,f129]) ).
fof(f1604,plain,
( spl0_109
| ~ spl0_22
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f596,f431,f146,f1602]) ).
fof(f1602,plain,
( spl0_109
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_inverse(additive_inverse(X1)))
| additive_identity = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f596,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_inverse(additive_inverse(X1)))
| additive_identity = X0 )
| ~ spl0_22
| ~ spl0_59 ),
inference(resolution,[],[f432,f147]) ).
fof(f1600,plain,
( spl0_108
| ~ spl0_49
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f592,f431,f384,f1598]) ).
fof(f1598,plain,
( spl0_108
<=> ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(X1,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f592,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(X1,additive_identity,additive_identity) )
| ~ spl0_49
| ~ spl0_59 ),
inference(resolution,[],[f432,f385]) ).
fof(f1596,plain,
( spl0_107
| ~ spl0_8
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f582,f431,f49,f1594]) ).
fof(f582,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(additive_inverse(X1),X2,X0) )
| ~ spl0_8
| ~ spl0_59 ),
inference(resolution,[],[f432,f50]) ).
fof(f1592,plain,
( spl0_106
| ~ spl0_8
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f547,f427,f49,f1590]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(X1,additive_inverse(X1),X0) )
| ~ spl0_8
| ~ spl0_58 ),
inference(resolution,[],[f428,f50]) ).
fof(f1588,plain,
( spl0_105
| ~ spl0_8
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f530,f423,f49,f1586]) ).
fof(f530,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(additive_inverse(X1),X0,additive_identity) )
| ~ spl0_8
| ~ spl0_57 ),
inference(resolution,[],[f424,f50]) ).
fof(f1584,plain,
( spl0_104
| ~ spl0_48
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f511,f419,f380,f1582]) ).
fof(f511,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,additive_identity)
| sum(additive_inverse(X0),X1,X1) )
| ~ spl0_48
| ~ spl0_56 ),
inference(resolution,[],[f420,f381]) ).
fof(f1580,plain,
( spl0_103
| ~ spl0_8
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f448,f403,f49,f1578]) ).
fof(f1578,plain,
( spl0_103
<=> ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X0,additive_inverse(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f448,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(additive_identity,X0,additive_inverse(X1)) )
| ~ spl0_8
| ~ spl0_52 ),
inference(resolution,[],[f404,f50]) ).
fof(f1438,plain,
( spl0_102
| ~ spl0_35
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f813,f656,f261,f1436]) ).
fof(f1436,plain,
( spl0_102
<=> ! [X0,X1] :
( sum(X1,X0,X0)
| ~ sum(additive_identity,additive_identity,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f813,plain,
( ! [X0,X1] :
( sum(X1,X0,X0)
| ~ sum(additive_identity,additive_identity,X1) )
| ~ spl0_35
| ~ spl0_68 ),
inference(superposition,[],[f657,f262]) ).
fof(f1434,plain,
( spl0_101
| ~ spl0_24
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f597,f431,f158,f1432]) ).
fof(f1432,plain,
( spl0_101
<=> ! [X0,X1] :
( sum(X0,additive_identity,X1)
| ~ sum(X1,additive_identity,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f597,plain,
( ! [X0,X1] :
( sum(X0,additive_identity,X1)
| ~ sum(X1,additive_identity,X0) )
| ~ spl0_24
| ~ spl0_59 ),
inference(superposition,[],[f432,f160]) ).
fof(f1430,plain,
( spl0_100
| ~ spl0_51
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f581,f431,f399,f1428]) ).
fof(f581,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,additive_identity,X0) )
| ~ spl0_51
| ~ spl0_59 ),
inference(resolution,[],[f432,f400]) ).
fof(f1426,plain,
( spl0_99
| ~ spl0_54
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f577,f431,f411,f1424]) ).
fof(f577,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(additive_identity,additive_identity,X0) )
| ~ spl0_54
| ~ spl0_59 ),
inference(resolution,[],[f432,f412]) ).
fof(f1422,plain,
( spl0_98
| ~ spl0_20
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f539,f423,f128,f1420]) ).
fof(f539,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| additive_identity = additive_inverse(X0) )
| ~ spl0_20
| ~ spl0_57 ),
inference(resolution,[],[f424,f129]) ).
fof(f1415,plain,
( spl0_97
| ~ spl0_24
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f493,f415,f158,f1413]) ).
fof(f1413,plain,
( spl0_97
<=> ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_identity,X0,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f493,plain,
( ! [X0] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_identity,X0,additive_identity) )
| ~ spl0_24
| ~ spl0_55 ),
inference(superposition,[],[f416,f160]) ).
fof(f1396,plain,
( spl0_96
| ~ spl0_14
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f330,f318,f84,f1394]) ).
fof(f330,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X0,X3,X4)
| product(X4,X1,add(multiply(X3,X1),X2)) )
| ~ spl0_14
| ~ spl0_44 ),
inference(resolution,[],[f319,f85]) ).
fof(f1392,plain,
( spl0_95
| ~ spl0_7
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f329,f318,f45,f1390]) ).
fof(f329,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_44 ),
inference(resolution,[],[f319,f46]) ).
fof(f1388,plain,
( spl0_94
| ~ spl0_6
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f326,f314,f41,f1386]) ).
fof(f326,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_43 ),
inference(resolution,[],[f315,f42]) ).
fof(f1384,plain,
( spl0_93
| ~ spl0_14
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f325,f310,f84,f1382]) ).
fof(f325,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X1,X3,X4)
| product(X0,X4,add(multiply(X0,X3),X2)) )
| ~ spl0_14
| ~ spl0_42 ),
inference(resolution,[],[f311,f85]) ).
fof(f1380,plain,
( spl0_92
| ~ spl0_7
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f324,f310,f45,f1378]) ).
fof(f324,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_42 ),
inference(resolution,[],[f311,f46]) ).
fof(f1376,plain,
( spl0_91
| ~ spl0_21
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f446,f403,f132,f1374]) ).
fof(f446,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| additive_inverse(X1) = X0 )
| ~ spl0_21
| ~ spl0_52 ),
inference(resolution,[],[f404,f133]) ).
fof(f1372,plain,
( spl0_90
| ~ spl0_6
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f321,f302,f41,f1370]) ).
fof(f321,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_40 ),
inference(resolution,[],[f303,f42]) ).
fof(f1368,plain,
( spl0_89
| ~ spl0_4
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f328,f318,f33,f1366]) ).
fof(f1366,plain,
( spl0_89
<=> ! [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_89])]) ).
fof(f33,plain,
( spl0_4
<=> ! [X0] : sum(additive_inverse(X0),X0,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f328,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_44 ),
inference(resolution,[],[f319,f34]) ).
fof(f34,plain,
( ! [X0] : sum(additive_inverse(X0),X0,additive_identity)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f1364,plain,
( spl0_88
| ~ spl0_4
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f323,f310,f33,f1362]) ).
fof(f1362,plain,
( spl0_88
<=> ! [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_88])]) ).
fof(f323,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_42 ),
inference(resolution,[],[f311,f34]) ).
fof(f1302,plain,
( spl0_87
| ~ spl0_2
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f327,f318,f25,f1300]) ).
fof(f1300,plain,
( spl0_87
<=> ! [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_87])]) ).
fof(f327,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,additive_identity)
| ~ sum(X0,X2,X3)
| product(X3,X1,multiply(X2,X1)) )
| ~ spl0_2
| ~ spl0_44 ),
inference(resolution,[],[f319,f26]) ).
fof(f1286,plain,
( spl0_86
| ~ spl0_2
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f322,f310,f25,f1284]) ).
fof(f1284,plain,
( spl0_86
<=> ! [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_86])]) ).
fof(f322,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| product(X0,X3,multiply(X0,X2)) )
| ~ spl0_2
| ~ spl0_42 ),
inference(resolution,[],[f311,f26]) ).
fof(f1282,plain,
( spl0_85
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f121,f84,f72,f1280]) ).
fof(f121,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,add(X3,X2)) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f85,f73]) ).
fof(f1278,plain,
( spl0_84
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f120,f84,f76,f1276]) ).
fof(f120,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X2,X4)
| sum(X4,X1,X3) )
| ~ spl0_12
| ~ spl0_14 ),
inference(resolution,[],[f85,f77]) ).
fof(f1108,plain,
( spl0_83
| ~ spl0_6
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f300,f285,f41,f1106]) ).
fof(f300,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X2,X3,multiply(X0,multiply(X1,X3))) )
| ~ spl0_6
| ~ spl0_39 ),
inference(resolution,[],[f286,f42]) ).
fof(f1104,plain,
( spl0_82
| ~ spl0_23
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f578,f431,f150,f1102]) ).
fof(f578,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| additive_identity = X0 )
| ~ spl0_23
| ~ spl0_59 ),
inference(resolution,[],[f432,f151]) ).
fof(f1100,plain,
( spl0_81
| ~ spl0_6
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f299,f281,f41,f1098]) ).
fof(f299,plain,
( ! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| product(X0,multiply(X1,X3),multiply(X2,X3)) )
| ~ spl0_6
| ~ spl0_38 ),
inference(resolution,[],[f282,f42]) ).
fof(f1096,plain,
( spl0_80
| ~ spl0_14
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f298,f277,f84,f1094]) ).
fof(f298,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(add(X1,X3),X0)) )
| ~ spl0_14
| ~ spl0_37 ),
inference(resolution,[],[f278,f85]) ).
fof(f1092,plain,
( spl0_79
| ~ spl0_7
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f297,f277,f45,f1090]) ).
fof(f297,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,X3,add(X0,add(X1,X3))) )
| ~ spl0_7
| ~ spl0_37 ),
inference(resolution,[],[f278,f46]) ).
fof(f1088,plain,
( spl0_78
| ~ spl0_14
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f293,f273,f84,f1086]) ).
fof(f293,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X3,X1),add(X2,X3)) )
| ~ spl0_14
| ~ spl0_36 ),
inference(resolution,[],[f274,f85]) ).
fof(f1084,plain,
( spl0_77
| ~ spl0_7
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f292,f273,f45,f1082]) ).
fof(f292,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X1,X3),add(X2,X3)) )
| ~ spl0_7
| ~ spl0_36 ),
inference(resolution,[],[f274,f46]) ).
fof(f849,plain,
( spl0_76
| ~ spl0_4
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f296,f277,f33,f847]) ).
fof(f296,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_inverse(add(X0,X1)),X0,X2)
| sum(X2,X1,additive_identity) )
| ~ spl0_4
| ~ spl0_37 ),
inference(resolution,[],[f278,f34]) ).
fof(f845,plain,
( spl0_75
| ~ spl0_5
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f291,f273,f37,f843]) ).
fof(f291,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,additive_identity,add(X2,additive_inverse(X1))) )
| ~ spl0_5
| ~ spl0_36 ),
inference(resolution,[],[f274,f38]) ).
fof(f841,plain,
( spl0_74
| ~ spl0_4
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f290,f273,f33,f839]) ).
fof(f290,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_inverse(X1),X2)
| sum(X0,additive_identity,add(X2,X1)) )
| ~ spl0_4
| ~ spl0_36 ),
inference(resolution,[],[f274,f34]) ).
fof(f837,plain,
( spl0_73
| ~ spl0_14
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f258,f238,f84,f835]) ).
fof(f258,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(additive_inverse(X2),X0),X2,X1) )
| ~ spl0_14
| ~ spl0_33 ),
inference(resolution,[],[f239,f85]) ).
fof(f833,plain,
( spl0_72
| ~ spl0_7
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f257,f238,f45,f831]) ).
fof(f257,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(add(X0,additive_inverse(X2)),X2,X1) )
| ~ spl0_7
| ~ spl0_33 ),
inference(resolution,[],[f239,f46]) ).
fof(f829,plain,
( spl0_71
| ~ spl0_14
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f252,f234,f84,f827]) ).
fof(f252,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(additive_inverse(X2),X1),additive_identity) )
| ~ spl0_14
| ~ spl0_32 ),
inference(resolution,[],[f235,f85]) ).
fof(f825,plain,
( spl0_70
| ~ spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f251,f234,f45,f823]) ).
fof(f251,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X0,add(X1,additive_inverse(X2)),additive_identity) )
| ~ spl0_7
| ~ spl0_32 ),
inference(resolution,[],[f235,f46]) ).
fof(f788,plain,
( spl0_69
| ~ spl0_21
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f613,f465,f132,f786]) ).
fof(f613,plain,
( ! [X0] : additive_inverse(additive_inverse(X0)) = X0
| ~ spl0_21
| ~ spl0_60 ),
inference(resolution,[],[f466,f133]) ).
fof(f658,plain,
( spl0_68
| ~ spl0_2
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f295,f277,f25,f656]) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(X1,X2,add(X0,X2)) )
| ~ spl0_2
| ~ spl0_37 ),
inference(resolution,[],[f278,f26]) ).
fof(f654,plain,
( spl0_67
| ~ spl0_2
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f288,f273,f25,f652]) ).
fof(f288,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,X2,add(X1,X2)) )
| ~ spl0_2
| ~ spl0_36 ),
inference(resolution,[],[f274,f26]) ).
fof(f649,plain,
( spl0_66
| ~ spl0_4
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f255,f238,f33,f647]) ).
fof(f647,plain,
( spl0_66
<=> ! [X0,X1] :
( ~ sum(additive_inverse(additive_inverse(X0)),additive_identity,X1)
| sum(additive_identity,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f255,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(additive_inverse(X0)),additive_identity,X1)
| sum(additive_identity,X0,X1) )
| ~ spl0_4
| ~ spl0_33 ),
inference(resolution,[],[f239,f34]) ).
fof(f644,plain,
( spl0_65
| ~ spl0_4
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f249,f234,f33,f642]) ).
fof(f642,plain,
( spl0_65
<=> ! [X0,X1] :
( ~ sum(X0,additive_inverse(additive_inverse(X1)),X1)
| sum(X0,additive_identity,additive_identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f249,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(additive_inverse(X1)),X1)
| sum(X0,additive_identity,additive_identity) )
| ~ spl0_4
| ~ spl0_32 ),
inference(resolution,[],[f235,f34]) ).
fof(f640,plain,
( spl0_64
| ~ spl0_14
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f228,f194,f84,f638]) ).
fof(f228,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X1,X0),additive_identity,X2) )
| ~ spl0_14
| ~ spl0_30 ),
inference(resolution,[],[f195,f85]) ).
fof(f609,plain,
( spl0_63
| ~ spl0_7
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f227,f194,f45,f607]) ).
fof(f227,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(add(X0,X1),additive_identity,X2) )
| ~ spl0_7
| ~ spl0_30 ),
inference(resolution,[],[f195,f46]) ).
fof(f605,plain,
( spl0_62
| ~ spl0_14
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f202,f182,f84,f603]) ).
fof(f202,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X2,X1),X2) )
| ~ spl0_14
| ~ spl0_27 ),
inference(resolution,[],[f183,f85]) ).
fof(f601,plain,
( spl0_61
| ~ spl0_7
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f201,f182,f45,f599]) ).
fof(f201,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,add(X1,X2),X2) )
| ~ spl0_7
| ~ spl0_27 ),
inference(resolution,[],[f183,f46]) ).
fof(f467,plain,
( spl0_60
| ~ spl0_4
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f440,f399,f33,f465]) ).
fof(f440,plain,
( ! [X0] : sum(additive_inverse(additive_inverse(X0)),additive_identity,X0)
| ~ spl0_4
| ~ spl0_51 ),
inference(resolution,[],[f400,f34]) ).
fof(f433,plain,
( spl0_59
| ~ spl0_3
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f265,f242,f29,f431]) ).
fof(f265,plain,
( ! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X2,additive_inverse(X1),X0) )
| ~ spl0_3
| ~ spl0_34 ),
inference(resolution,[],[f243,f30]) ).
fof(f429,plain,
( spl0_58
| ~ spl0_2
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f254,f238,f25,f427]) ).
fof(f254,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,additive_identity,X0)
| sum(additive_inverse(X1),X1,X0) )
| ~ spl0_2
| ~ spl0_33 ),
inference(resolution,[],[f239,f26]) ).
fof(f425,plain,
( spl0_57
| ~ spl0_2
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f248,f234,f25,f423]) ).
fof(f248,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X0,additive_inverse(X1),additive_identity) )
| ~ spl0_2
| ~ spl0_32 ),
inference(resolution,[],[f235,f26]) ).
fof(f421,plain,
( spl0_56
| ~ spl0_3
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f246,f230,f29,f419]) ).
fof(f246,plain,
( ! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| sum(additive_inverse(X0),X1,additive_identity) )
| ~ spl0_3
| ~ spl0_31 ),
inference(resolution,[],[f231,f30]) ).
fof(f417,plain,
( spl0_55
| ~ spl0_2
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f245,f230,f25,f415]) ).
fof(f245,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,X1,additive_identity) )
| ~ spl0_2
| ~ spl0_31 ),
inference(resolution,[],[f231,f26]) ).
fof(f413,plain,
( spl0_54
| ~ spl0_5
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f226,f194,f37,f411]) ).
fof(f226,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X0),X1)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_5
| ~ spl0_30 ),
inference(resolution,[],[f195,f38]) ).
fof(f409,plain,
( spl0_53
| ~ spl0_4
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f225,f194,f33,f407]) ).
fof(f225,plain,
( ! [X0,X1] :
( ~ sum(additive_inverse(X0),X0,X1)
| sum(additive_identity,additive_identity,X1) )
| ~ spl0_4
| ~ spl0_30 ),
inference(resolution,[],[f195,f34]) ).
fof(f405,plain,
( spl0_52
| ~ spl0_5
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f200,f182,f37,f403]) ).
fof(f200,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,additive_identity)
| sum(X0,additive_identity,additive_inverse(X1)) )
| ~ spl0_5
| ~ spl0_27 ),
inference(resolution,[],[f183,f38]) ).
fof(f401,plain,
( spl0_51
| ~ spl0_4
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f199,f182,f33,f399]) ).
fof(f199,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_inverse(X1),additive_identity)
| sum(X0,additive_identity,X1) )
| ~ spl0_4
| ~ spl0_27 ),
inference(resolution,[],[f183,f34]) ).
fof(f397,plain,
( spl0_50
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f122,f84,f58,f395]) ).
fof(f122,plain,
( ! [X2,X0,X1] :
( add(X1,X2) = X0
| ~ sum(X2,X1,X0) )
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f85,f59]) ).
fof(f386,plain,
( spl0_49
| ~ spl0_5
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f250,f234,f37,f384]) ).
fof(f250,plain,
( ! [X0,X1] :
( ~ sum(X0,X1,X1)
| sum(X0,additive_identity,additive_identity) )
| ~ spl0_5
| ~ spl0_32 ),
inference(resolution,[],[f235,f38]) ).
fof(f382,plain,
( spl0_48
| ~ spl0_2
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f197,f182,f25,f380]) ).
fof(f197,plain,
( ! [X0,X1] :
( ~ sum(X0,additive_identity,additive_identity)
| sum(X0,X1,X1) )
| ~ spl0_2
| ~ spl0_27 ),
inference(resolution,[],[f183,f26]) ).
fof(f360,plain,
( spl0_47
| ~ spl0_14
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f179,f167,f84,f358]) ).
fof(f179,plain,
( ! [X0,X1] : add(X0,X1) = add(X1,X0)
| ~ spl0_14
| ~ spl0_25 ),
inference(resolution,[],[f168,f85]) ).
fof(f344,plain,
( spl0_46
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f156,f146,f84,f342]) ).
fof(f156,plain,
( ! [X0] : additive_identity = add(X0,additive_inverse(X0))
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f147,f85]) ).
fof(f340,plain,
( spl0_45
| ~ spl0_7
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f155,f146,f45,f338]) ).
fof(f155,plain,
( ! [X0] : additive_identity = add(additive_inverse(X0),X0)
| ~ spl0_7
| ~ spl0_22 ),
inference(resolution,[],[f147,f46]) ).
fof(f320,plain,
( spl0_44
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f126,f116,f41,f318]) ).
fof(f126,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_19 ),
inference(resolution,[],[f117,f42]) ).
fof(f316,plain,
( spl0_43
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f125,f112,f41,f314]) ).
fof(f125,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_18 ),
inference(resolution,[],[f113,f42]) ).
fof(f312,plain,
( spl0_42
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f124,f108,f41,f310]) ).
fof(f124,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_17 ),
inference(resolution,[],[f109,f42]) ).
fof(f308,plain,
( spl0_41
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f139,f128,f84,f306]) ).
fof(f139,plain,
( ! [X0] : add(X0,additive_identity) = X0
| ~ spl0_14
| ~ spl0_20 ),
inference(resolution,[],[f129,f85]) ).
fof(f304,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f119,f104,f41,f302]) ).
fof(f119,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_16 ),
inference(resolution,[],[f105,f42]) ).
fof(f287,plain,
( spl0_39
| ~ spl0_6
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f102,f88,f41,f285]) ).
fof(f102,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,multiply(X1,X2),X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) )
| ~ spl0_6
| ~ spl0_15 ),
inference(resolution,[],[f89,f42]) ).
fof(f283,plain,
( spl0_38
| ~ spl0_6
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f101,f80,f41,f281]) ).
fof(f101,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X0,X4,multiply(X2,X3)) )
| ~ spl0_6
| ~ spl0_13 ),
inference(resolution,[],[f81,f42]) ).
fof(f279,plain,
( spl0_37
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f100,f76,f45,f277]) ).
fof(f100,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,add(X1,X2),X3)
| ~ sum(X0,X1,X4)
| sum(X4,X2,X3) )
| ~ spl0_7
| ~ spl0_12 ),
inference(resolution,[],[f77,f46]) ).
fof(f275,plain,
( spl0_36
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f95,f72,f45,f273]) ).
fof(f95,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| sum(X0,X4,add(X2,X3)) )
| ~ spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f73,f46]) ).
fof(f263,plain,
( spl0_35
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f138,f128,f45,f261]) ).
fof(f138,plain,
( ! [X0] : add(additive_identity,X0) = X0
| ~ spl0_7
| ~ spl0_20 ),
inference(resolution,[],[f129,f46]) ).
fof(f244,plain,
( spl0_34
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f99,f76,f37,f242]) ).
fof(f99,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,X2,X3)
| sum(X3,additive_inverse(X2),X1) )
| ~ spl0_5
| ~ spl0_12 ),
inference(resolution,[],[f77,f38]) ).
fof(f240,plain,
( spl0_33
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f98,f76,f33,f238]) ).
fof(f98,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| ~ sum(X0,additive_inverse(X2),X3)
| sum(X3,X2,X1) )
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[],[f77,f34]) ).
fof(f236,plain,
( spl0_32
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f94,f72,f37,f234]) ).
fof(f94,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,additive_inverse(X2),X3)
| sum(X0,X3,additive_identity) )
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f73,f38]) ).
fof(f232,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f93,f72,f33,f230]) ).
fof(f93,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_inverse(X2))
| ~ sum(X1,X2,X3)
| sum(X0,X3,additive_identity) )
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f73,f34]) ).
fof(f196,plain,
( spl0_30
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f97,f76,f29,f194]) ).
fof(f97,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| sum(X3,additive_identity,X2) )
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f77,f30]) ).
fof(f192,plain,
( spl0_29
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f96,f76,f25,f190]) ).
fof(f96,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,additive_identity,X3)
| sum(X3,X1,X2) )
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f77,f26]) ).
fof(f188,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f92,f72,f29,f186]) ).
fof(f92,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X2)
| ~ sum(X1,additive_identity,X3)
| sum(X0,X3,X2) )
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f73,f30]) ).
fof(f184,plain,
( spl0_27
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f91,f72,f25,f182]) ).
fof(f91,plain,
( ! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,X2,X3)
| sum(X0,X3,X2) )
| ~ spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f73,f26]) ).
fof(f173,plain,
( spl0_26
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f70,f62,f41,f171]) ).
fof(f70,plain,
( ! [X2,X0,X1] :
( multiply(X1,X2) = X0
| ~ product(X1,X2,X0) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f63,f42]) ).
fof(f169,plain,
( spl0_25
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f69,f58,f45,f167]) ).
fof(f69,plain,
( ! [X2,X0,X1] :
( add(X1,X2) = X0
| ~ sum(X1,X2,X0) )
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f59,f46]) ).
fof(f161,plain,
( spl0_24
| ~ spl0_5
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f137,f128,f37,f158]) ).
fof(f137,plain,
( additive_identity = additive_inverse(additive_identity)
| ~ spl0_5
| ~ spl0_20 ),
inference(resolution,[],[f129,f38]) ).
fof(f152,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f68,f58,f37,f150]) ).
fof(f68,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(X1,additive_inverse(X1),X0) )
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[],[f59,f38]) ).
fof(f148,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f67,f58,f33,f146]) ).
fof(f67,plain,
( ! [X0,X1] :
( additive_identity = X0
| ~ sum(additive_inverse(X1),X1,X0) )
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[],[f59,f34]) ).
fof(f134,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f66,f58,f29,f132]) ).
fof(f66,plain,
( ! [X0,X1] :
( X0 = X1
| ~ sum(X1,additive_identity,X0) )
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f59,f30]) ).
fof(f130,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f65,f58,f25,f128]) ).
fof(f65,plain,
( ! [X0,X1] :
( X0 = X1
| ~ sum(additive_identity,X1,X0) )
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f59,f26]) ).
fof(f118,plain,
spl0_19,
inference(avatar_split_clause,[],[f15,f116]) ).
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/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
fof(f114,plain,
spl0_18,
inference(avatar_split_clause,[],[f14,f112]) ).
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/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f110,plain,
spl0_17,
inference(avatar_split_clause,[],[f13,f108]) ).
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/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f106,plain,
spl0_16,
inference(avatar_split_clause,[],[f12,f104]) ).
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/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f90,plain,
spl0_15,
inference(avatar_split_clause,[],[f11,f88]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication2) ).
fof(f86,plain,
( spl0_14
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f56,f49,f45,f84]) ).
fof(f56,plain,
( ! [X0,X1] : sum(X0,X1,add(X1,X0))
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f50,f46]) ).
fof(f82,plain,
spl0_13,
inference(avatar_split_clause,[],[f10,f80]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity_of_multiplication1) ).
fof(f78,plain,
spl0_12,
inference(avatar_split_clause,[],[f8,f76]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f74,plain,
spl0_11,
inference(avatar_split_clause,[],[f7,f72]) ).
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/sandbox2/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f64,plain,
spl0_10,
inference(avatar_split_clause,[],[f17,f62]) ).
fof(f17,axiom,
! [X2,X0,X1,X4] :
( X2 = X4
| ~ product(X0,X1,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f60,plain,
spl0_9,
inference(avatar_split_clause,[],[f16,f58]) ).
fof(f16,axiom,
! [X2,X0,X1,X4] :
( X2 = X4
| ~ sum(X0,X1,X4)
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f51,plain,
spl0_8,
inference(avatar_split_clause,[],[f9,f49]) ).
fof(f9,axiom,
! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f47,plain,
spl0_7,
inference(avatar_split_clause,[],[f4,f45]) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f43,plain,
spl0_6,
inference(avatar_split_clause,[],[f3,f41]) ).
fof(f3,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f39,plain,
spl0_5,
inference(avatar_split_clause,[],[f6,f37]) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f35,plain,
spl0_4,
inference(avatar_split_clause,[],[f5,f33]) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f31,plain,
spl0_3,
inference(avatar_split_clause,[],[f2,f29]) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity2) ).
fof(f27,plain,
spl0_2,
inference(avatar_split_clause,[],[f1,f25]) ).
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity1) ).
fof(f23,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f18,f20]) ).
fof(f18,axiom,
~ product(a,additive_identity,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_0_is_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 02:43:43 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (20206)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (20209)WARNING: value z3 for option sas not known
% 0.12/0.35 % (20209)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)
% 0.12/0.36 % (20213)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)
% 0.12/0.36 % (20211)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)
% 0.12/0.36 % (20208)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (20210)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (20212)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)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (20207)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.38 TRYING [4]
% 0.12/0.38 TRYING [3]
% 0.20/0.42 TRYING [5]
% 0.20/0.43 TRYING [4]
% 0.20/0.56 TRYING [5]
% 0.20/0.57 TRYING [6]
% 4.11/0.92 TRYING [7]
% 4.22/0.99 TRYING [6]
% 7.26/1.46 TRYING [1]
% 7.26/1.46 TRYING [2]
% 7.26/1.46 TRYING [3]
% 7.94/1.48 TRYING [4]
% 8.41/1.53 TRYING [5]
% 9.46/1.68 TRYING [6]
% 10.47/1.91 TRYING [8]
% 11.61/2.03 TRYING [7]
% 12.56/2.19 TRYING [7]
% 21.62/3.50 TRYING [8]
% 27.97/4.39 TRYING [9]
% 29.03/4.52 TRYING [8]
% 42.40/6.40 % (20211)First to succeed.
% 42.47/6.43 % (20211)Refutation found. Thanks to Tanya!
% 42.47/6.43 % SZS status Unsatisfiable for theBenchmark
% 42.47/6.43 % SZS output start Proof for theBenchmark
% See solution above
% 42.47/6.45 % (20211)------------------------------
% 42.47/6.45 % (20211)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 42.47/6.45 % (20211)Termination reason: Refutation
% 42.47/6.45
% 42.47/6.45 % (20211)Memory used [KB]: 17181
% 42.47/6.45 % (20211)Time elapsed: 6.074 s
% 42.47/6.45 % (20211)Instructions burned: 12759 (million)
% 42.47/6.45 % (20211)------------------------------
% 42.47/6.45 % (20211)------------------------------
% 42.47/6.45 % (20206)Success in time 6.058 s
%------------------------------------------------------------------------------