TSTP Solution File: RNG045+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 14:50:26 EDT 2024
% Result : Theorem 4.11s 0.95s
% Output : Refutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1539
% Syntax : Number of formulae : 5776 ( 43 unt; 0 def)
% Number of atoms : 21057 (4215 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 28949 (13668 ~;13688 |; 59 &)
% (1523 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 1528 (1526 usr;1524 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 3538 (3534 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21932,plain,
$false,
inference(avatar_sat_refutation,[],[f80,f85,f90,f95,f100,f105,f109,f118,f122,f128,f132,f140,f146,f150,f154,f158,f162,f166,f171,f175,f179,f183,f187,f191,f197,f202,f209,f218,f224,f225,f226,f227,f228,f241,f254,f266,f270,f291,f303,f307,f349,f363,f375,f379,f398,f402,f406,f410,f414,f418,f423,f427,f431,f508,f512,f516,f544,f548,f552,f578,f582,f586,f590,f594,f598,f602,f606,f610,f638,f703,f707,f738,f742,f749,f753,f757,f761,f765,f769,f773,f777,f782,f870,f874,f879,f883,f887,f891,f895,f958,f962,f966,f997,f1004,f1018,f1022,f1035,f1039,f1043,f1047,f1084,f1088,f1092,f1112,f1116,f1137,f1142,f1147,f1152,f1157,f1162,f1167,f1172,f1177,f1182,f1227,f1232,f1245,f1250,f1255,f1260,f1265,f1270,f1275,f1280,f1285,f1291,f1442,f1607,f1614,f1619,f1638,f1643,f1648,f1653,f1658,f1670,f1675,f1680,f1685,f1690,f1695,f1700,f1729,f1741,f1745,f1749,f1779,f1783,f1787,f1832,f1836,f1840,f1888,f1892,f1896,f1900,f1904,f1908,f1913,f1917,f1921,f1925,f1929,f1933,f1937,f1941,f1945,f1949,f1953,f1958,f1962,f1966,f1970,f1974,f1978,f1982,f1986,f1990,f1994,f1998,f2003,f2007,f2011,f2015,f2019,f2023,f2027,f2092,f2235,f2430,f2625,f2629,f2634,f2638,f2642,f2646,f2650,f2659,f2669,f2673,f2686,f2820,f2826,f2830,f2834,f2838,f2842,f2846,f2850,f2854,f2858,f2862,f2868,f2872,f2876,f2880,f2884,f2888,f2892,f2896,f2900,f2904,f2910,f2914,f2918,f2922,f2926,f2930,f2934,f2938,f2942,f2946,f2952,f2956,f2960,f2964,f2968,f2972,f2976,f2980,f2984,f2988,f2994,f2998,f3002,f3006,f3010,f3014,f3018,f3693,f4035,f4231,f4235,f4239,f4243,f4247,f4252,f4256,f4260,f4264,f4366,f4408,f4412,f4416,f4420,f4472,f4477,f4481,f4485,f4489,f4493,f4497,f4501,f4505,f4509,f4513,f4517,f4522,f4526,f4530,f4534,f4538,f4542,f4546,f4550,f4554,f4558,f4562,f4567,f4571,f4575,f4579,f4583,f4587,f4591,f4595,f4599,f4603,f4607,f4612,f4616,f4620,f4624,f4628,f4632,f4636,f4640,f4644,f4648,f4652,f4657,f4661,f4665,f4669,f4673,f4677,f4681,f4685,f4689,f4693,f4697,f4702,f4706,f4710,f4714,f4718,f4722,f4726,f4730,f4734,f4738,f4742,f4747,f4751,f4755,f4759,f4764,f4769,f4774,f4779,f4784,f4789,f4795,f4800,f4805,f4810,f4816,f4822,f4827,f4832,f4837,f4842,f4847,f4852,f4857,f4862,f4867,f4873,f4963,f5097,f5355,f5633,f5926,f6125,f6264,f6273,f6292,f6304,f6308,f6312,f6316,f6320,f6324,f6329,f6333,f6337,f6341,f6345,f6442,f6538,f6545,f6549,f6553,f6557,f6562,f6566,f6570,f6574,f6578,f6582,f6586,f6590,f6594,f6598,f6602,f6607,f6611,f6615,f6619,f6623,f6627,f6631,f6724,f6889,f6974,f6978,f7027,f7031,f7035,f7039,f7043,f7047,f7051,f7055,f7059,f7063,f7067,f7073,f7077,f7081,f7085,f7089,f7093,f7098,f7103,f7108,f7113,f7120,f7125,f7130,f7135,f7140,f7146,f7240,f7428,f7476,f7480,f7484,f7488,f7492,f7496,f7500,f7504,f7508,f7512,f7516,f7521,f7525,f7633,f7681,f7685,f7689,f7693,f7766,f7770,f7777,f7781,f7785,f7789,f7793,f7797,f7801,f7805,f7810,f7814,f7818,f7822,f7826,f7830,f7834,f7838,f7842,f7846,f7850,f7855,f7859,f7863,f7867,f7871,f7875,f7879,f7883,f7887,f7891,f7895,f7900,f7904,f7908,f7912,f7916,f7920,f7924,f7928,f7932,f7936,f7940,f7947,f7951,f7955,f7960,f7965,f7992,f7996,f8000,f8004,f8010,f8014,f8018,f8022,f8026,f8031,f8036,f8062,f8066,f8659,f8878,f8882,f8886,f8890,f8894,f8898,f8902,f8906,f8910,f8916,f9102,f9106,f9110,f9114,f9118,f9122,f9126,f9130,f9134,f9140,f9144,f9148,f9152,f9156,f9160,f9164,f9168,f9172,f9176,f9182,f9186,f9190,f9194,f9198,f9202,f9206,f9210,f9214,f9218,f9223,f9227,f9231,f9235,f9239,f9243,f9247,f9251,f9256,f9260,f9264,f9271,f9300,f9305,f9345,f9349,f9353,f9357,f9361,f9366,f9370,f9374,f9378,f9382,f9386,f9390,f9394,f9398,f9402,f9406,f9412,f9416,f9444,f9449,f9488,f9492,f9533,f9658,f9830,f10023,f10078,f10210,f10475,f10479,f10483,f10487,f10491,f10495,f10499,f10503,f10508,f10512,f10516,f10520,f10524,f10528,f10532,f10536,f10540,f10761,f10765,f10769,f10773,f10777,f10781,f10787,f10791,f10795,f10799,f10803,f10807,f10811,f10815,f10819,f10823,f10829,f10833,f10837,f10841,f10845,f10849,f10853,f10858,f10863,f11235,f11239,f11243,f11247,f11251,f11255,f11259,f11263,f11269,f11273,f11277,f11449,f11453,f11457,f11461,f11465,f11469,f11475,f11479,f11483,f11487,f11491,f11495,f11499,f11503,f11507,f11511,f11517,f11522,f11549,f11554,f11868,f11872,f11876,f11880,f11936,f11940,f11944,f11948,f11952,f11956,f11960,f11964,f11968,f11972,f11978,f11982,f11986,f12185,f12189,f12193,f12197,f12203,f12207,f12211,f12215,f12317,f12321,f12325,f12329,f12385,f12389,f12393,f12397,f12401,f12483,f12487,f12491,f12495,f12547,f12551,f12585,f12589,f12593,f12597,f12655,f12659,f12663,f12706,f12710,f12714,f12718,f12772,f12776,f12780,f12784,f12853,f12870,f12874,f12921,f12928,f12933,f12938,f12953,f12958,f12963,f12968,f12973,f12978,f12983,f12988,f12993,f12998,f13003,f13008,f13013,f13018,f13023,f13028,f13033,f13038,f13043,f13048,f13055,f13060,f13065,f13070,f13075,f13080,f13085,f13090,f13095,f13100,f13107,f13112,f13117,f13122,f13127,f13132,f13137,f13142,f13147,f13152,f13153,f13171,f13176,f13181,f13186,f13190,f13194,f13198,f13202,f13206,f13210,f13214,f13218,f13222,f13226,f13230,f13234,f13238,f13242,f13246,f13250,f13255,f13260,f13265,f13270,f13275,f13280,f13285,f13290,f13295,f13300,f13305,f13310,f13315,f13320,f13325,f13330,f13335,f13340,f13345,f13350,f13355,f13360,f13365,f13370,f13375,f13380,f13385,f13390,f13395,f13400,f13405,f13410,f13415,f13867,f13871,f13875,f13879,f13883,f13887,f14024,f14029,f14034,f14039,f14048,f14057,f14062,f14067,f14072,f14078,f14083,f14088,f14093,f14098,f14103,f14109,f14115,f14120,f14125,f14130,f14135,f14140,f14145,f14151,f14156,f14161,f14166,f14171,f14176,f14180,f14184,f14188,f14192,f14197,f14202,f14208,f14213,f14219,f14225,f14230,f14235,f14241,f14247,f14252,f14257,f14262,f14267,f14272,f14277,f14282,f14287,f14292,f14297,f14303,f14309,f14315,f14320,f14325,f14330,f14336,f14342,f14347,f14352,f14357,f14362,f14367,f14372,f14377,f14382,f14387,f14392,f14398,f14404,f14409,f14414,f14419,f14425,f14430,f14435,f14440,f14445,f14450,f14455,f14461,f14466,f14472,f14477,f14483,f14488,f14493,f14498,f14504,f14510,f14515,f14520,f14525,f14530,f14535,f14540,f14546,f14552,f14560,f14565,f14570,f14576,f14582,f14587,f14592,f14597,f14603,f14608,f14615,f14620,f14625,f14630,f14636,f14642,f14648,f14653,f14658,f14664,f14672,f14677,f14682,f14687,f14693,f14698,f14703,f14708,f14713,f14718,f14726,f14732,f14738,f14743,f14748,f14754,f14760,f14765,f14770,f14775,f14783,f14788,f14793,f14798,f14803,f14808,f14814,f14820,f14826,f14831,f14838,f14844,f14850,f14855,f14860,f14865,f14871,f14876,f14881,f14886,f14893,f14898,f14903,f14908,f14913,f14918,f14923,f14928,f14932,f14936,f14942,f14946,f14950,f14954,f14958,f14962,f14966,f14970,f14974,f14978,f14983,f14987,f14991,f14995,f14999,f15003,f15007,f15011,f15015,f15020,f15025,f15032,f15037,f15042,f15047,f15052,f15057,f15062,f15067,f15072,f15077,f15082,f15087,f15092,f15097,f15102,f15107,f15112,f15117,f15122,f15127,f15132,f15137,f15142,f15147,f15152,f15157,f15162,f15167,f15172,f15177,f15182,f15187,f15191,f15196,f15201,f15206,f15211,f15216,f15221,f15226,f15231,f15236,f15241,f15245,f15250,f15255,f15260,f15265,f15270,f15275,f15280,f15285,f15290,f15295,f15299,f15304,f15315,f15329,f15353,f15425,f15430,f15435,f15445,f15450,f15456,f15485,f15492,f15497,f15502,f15511,f15516,f15524,f15547,f15552,f15558,f15567,f15582,f15588,f15593,f15600,f15611,f15621,f15632,f15637,f15642,f15653,f15659,f15664,f15679,f15701,f15705,f15710,f15715,f15724,f15729,f15742,f15747,f15766,f15771,f15776,f15784,f15789,f15794,f15805,f15819,f15826,f15831,f15836,f15845,f15850,f15863,f16216,f16307,f16332,f16357,f16471,f16496,f16506,f16510,f16514,f16518,f16522,f16526,f16530,f16535,f16539,f16726,f16731,f16736,f16740,f16744,f16748,f16752,f16756,f16760,f16764,f16768,f16772,f16777,f16781,f16785,f16789,f16793,f16797,f16801,f16805,f16809,f16813,f16817,f16822,f16826,f16830,f16834,f16838,f16842,f16911,f17106,f17345,f17373,f17377,f17381,f17385,f17389,f17393,f17397,f17401,f17405,f17410,f17414,f17418,f17422,f17426,f17430,f17506,f17689,f17694,f17698,f17703,f17708,f17713,f17718,f17723,f17728,f17733,f17737,f17742,f17747,f17751,f17756,f17760,f17765,f17769,f17774,f17778,f17783,f17787,f17792,f17797,f17801,f17806,f17810,f17815,f17819,f17824,f17828,f17833,f17837,f17842,f17847,f17851,f17856,f17860,f17865,f17869,f17874,f17878,f17883,f17887,f17891,f17896,f17900,f17904,f17908,f17912,f17916,f17920,f17924,f17928,f17933,f17937,f17942,f17947,f17951,f17956,f17960,f17965,f17970,f17975,f17979,f17984,f17988,f17993,f17998,f18002,f18007,f18011,f18015,f18019,f18023,f18027,f18031,f18035,f18040,f18044,f18049,f18054,f18059,f18064,f18069,f18074,f18079,f18084,f18088,f18093,f18097,f18101,f18105,f18109,f18113,f18117,f18121,f18125,f18129,f18133,f18138,f18142,f18146,f18150,f18154,f18158,f18162,f18166,f18170,f18174,f18178,f18183,f18187,f18191,f18195,f18199,f18203,f18207,f18211,f18215,f18219,f18223,f18228,f18232,f18236,f18240,f18244,f18248,f18252,f18256,f18260,f18264,f18268,f18273,f18277,f18281,f18285,f18289,f18293,f18297,f18301,f18305,f18309,f18313,f18318,f18322,f18326,f18330,f18334,f18338,f18342,f18346,f18350,f18354,f18358,f18363,f18367,f18371,f18375,f18379,f18383,f18387,f18391,f18395,f18399,f18403,f18408,f18412,f18416,f18420,f18424,f18428,f18432,f18436,f18440,f18444,f18449,f18454,f18459,f18465,f18472,f18478,f18485,f18491,f18498,f18503,f18508,f18513,f18518,f18523,f18528,f18533,f18538,f18543,f18548,f18553,f18560,f18565,f18570,f18575,f18580,f18585,f18590,f18595,f18601,f18608,f18613,f18619,f18626,f18631,f18636,f18641,f18646,f18651,f18656,f18661,f18666,f18671,f18676,f18681,f18686,f18691,f18696,f18701,f18706,f18711,f18716,f18721,f18726,f18731,f18737,f18744,f18749,f18754,f18759,f18764,f18771,f18776,f18781,f18786,f18791,f18796,f18801,f18806,f18811,f18816,f18823,f18828,f18833,f18838,f18843,f18847,f18851,f18855,f18859,f18863,f18869,f18873,f18877,f18881,f18885,f18889,f18893,f18897,f18901,f18905,f18911,f18915,f18919,f18923,f18927,f18931,f18935,f18939,f18943,f18947,f18953,f18957,f18961,f18965,f18969,f18973,f18977,f18981,f18985,f18989,f18995,f18999,f19003,f19007,f19011,f19015,f19019,f19023,f19027,f19031,f19037,f19041,f19045,f19049,f19053,f19057,f19061,f19065,f19069,f19073,f19079,f19083,f19087,f19092,f19097,f19102,f19107,f19112,f19117,f19122,f19129,f19134,f19139,f19144,f19149,f19761,f21420,f21645,f21794,f21819,f21848,f21873,f21904,f21931]) ).
fof(f21931,plain,
( ~ spl2_35
| spl2_10
| ~ spl2_1438
| ~ spl2_1439 ),
inference(avatar_split_clause,[],[f21918,f18808,f18803,f125,f288]) ).
fof(f288,plain,
( spl2_35
<=> sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).
fof(f125,plain,
( spl2_10
<=> sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f18803,plain,
( spl2_1438
<=> sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1438])]) ).
fof(f18808,plain,
( spl2_1439
<=> sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1439])]) ).
fof(f21918,plain,
( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
| spl2_10
| ~ spl2_1438
| ~ spl2_1439 ),
inference(forward_demodulation,[],[f21915,f18810]) ).
fof(f18810,plain,
( sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))
| ~ spl2_1439 ),
inference(avatar_component_clause,[],[f18808]) ).
fof(f21915,plain,
( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))
| spl2_10
| ~ spl2_1438 ),
inference(superposition,[],[f127,f18805]) ).
fof(f18805,plain,
( sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv))
| ~ spl2_1438 ),
inference(avatar_component_clause,[],[f18803]) ).
fof(f127,plain,
( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv)))
| spl2_10 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f21904,plain,
( spl2_1523
| ~ spl2_2
| ~ spl2_1016 ),
inference(avatar_split_clause,[],[f16246,f15005,f82,f21901]) ).
fof(f21901,plain,
( spl2_1523
<=> sdtpldt0(xy,xy) = smndt0(smndt0(sdtpldt0(xy,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1523])]) ).
fof(f82,plain,
( spl2_2
<=> aScalar0(xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f15005,plain,
( spl2_1016
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = smndt0(smndt0(sdtpldt0(X0,xy))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1016])]) ).
fof(f16246,plain,
( sdtpldt0(xy,xy) = smndt0(smndt0(sdtpldt0(xy,xy)))
| ~ spl2_2
| ~ spl2_1016 ),
inference(resolution,[],[f15006,f84]) ).
fof(f84,plain,
( aScalar0(xy)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f15006,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = smndt0(smndt0(sdtpldt0(X0,xy))) )
| ~ spl2_1016 ),
inference(avatar_component_clause,[],[f15005]) ).
fof(f21873,plain,
( spl2_1522
| ~ spl2_4
| ~ spl2_131
| ~ spl2_1015 ),
inference(avatar_split_clause,[],[f16236,f15001,f1645,f92,f21870]) ).
fof(f21870,plain,
( spl2_1522
<=> sdtpldt0(xx,xv) = smndt0(smndt0(sdtpldt0(xx,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1522])]) ).
fof(f92,plain,
( spl2_4
<=> aScalar0(xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f1645,plain,
( spl2_131
<=> sdtpldt0(xv,xx) = sdtpldt0(xx,xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_131])]) ).
fof(f15001,plain,
( spl2_1015
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = smndt0(smndt0(sdtpldt0(X0,xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1015])]) ).
fof(f16236,plain,
( sdtpldt0(xx,xv) = smndt0(smndt0(sdtpldt0(xx,xv)))
| ~ spl2_4
| ~ spl2_131
| ~ spl2_1015 ),
inference(forward_demodulation,[],[f16228,f1647]) ).
fof(f1647,plain,
( sdtpldt0(xv,xx) = sdtpldt0(xx,xv)
| ~ spl2_131 ),
inference(avatar_component_clause,[],[f1645]) ).
fof(f16228,plain,
( sdtpldt0(xv,xx) = smndt0(smndt0(sdtpldt0(xv,xx)))
| ~ spl2_4
| ~ spl2_1015 ),
inference(resolution,[],[f15002,f94]) ).
fof(f94,plain,
( aScalar0(xv)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f15002,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = smndt0(smndt0(sdtpldt0(X0,xx))) )
| ~ spl2_1015 ),
inference(avatar_component_clause,[],[f15001]) ).
fof(f21848,plain,
( spl2_1521
| ~ spl2_3
| ~ spl2_130
| ~ spl2_1015 ),
inference(avatar_split_clause,[],[f16235,f15001,f1640,f87,f21845]) ).
fof(f21845,plain,
( spl2_1521
<=> sdtpldt0(xx,xu) = smndt0(smndt0(sdtpldt0(xx,xu))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1521])]) ).
fof(f87,plain,
( spl2_3
<=> aScalar0(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f1640,plain,
( spl2_130
<=> sdtpldt0(xu,xx) = sdtpldt0(xx,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_130])]) ).
fof(f16235,plain,
( sdtpldt0(xx,xu) = smndt0(smndt0(sdtpldt0(xx,xu)))
| ~ spl2_3
| ~ spl2_130
| ~ spl2_1015 ),
inference(forward_demodulation,[],[f16227,f1642]) ).
fof(f1642,plain,
( sdtpldt0(xu,xx) = sdtpldt0(xx,xu)
| ~ spl2_130 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f16227,plain,
( sdtpldt0(xu,xx) = smndt0(smndt0(sdtpldt0(xu,xx)))
| ~ spl2_3
| ~ spl2_1015 ),
inference(resolution,[],[f15002,f89]) ).
fof(f89,plain,
( aScalar0(xu)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f21819,plain,
( spl2_1520
| ~ spl2_2
| ~ spl2_129
| ~ spl2_1015 ),
inference(avatar_split_clause,[],[f16234,f15001,f1635,f82,f21816]) ).
fof(f21816,plain,
( spl2_1520
<=> sdtpldt0(xx,xy) = smndt0(smndt0(sdtpldt0(xx,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1520])]) ).
fof(f1635,plain,
( spl2_129
<=> sdtpldt0(xx,xy) = sdtpldt0(xy,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_129])]) ).
fof(f16234,plain,
( sdtpldt0(xx,xy) = smndt0(smndt0(sdtpldt0(xx,xy)))
| ~ spl2_2
| ~ spl2_129
| ~ spl2_1015 ),
inference(forward_demodulation,[],[f16226,f1637]) ).
fof(f1637,plain,
( sdtpldt0(xx,xy) = sdtpldt0(xy,xx)
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f1635]) ).
fof(f16226,plain,
( sdtpldt0(xy,xx) = smndt0(smndt0(sdtpldt0(xy,xx)))
| ~ spl2_2
| ~ spl2_1015 ),
inference(resolution,[],[f15002,f84]) ).
fof(f21794,plain,
( spl2_1519
| ~ spl2_1
| ~ spl2_1015 ),
inference(avatar_split_clause,[],[f16225,f15001,f77,f21791]) ).
fof(f21791,plain,
( spl2_1519
<=> sdtpldt0(xx,xx) = smndt0(smndt0(sdtpldt0(xx,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1519])]) ).
fof(f77,plain,
( spl2_1
<=> aScalar0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f16225,plain,
( sdtpldt0(xx,xx) = smndt0(smndt0(sdtpldt0(xx,xx)))
| ~ spl2_1
| ~ spl2_1015 ),
inference(resolution,[],[f15002,f79]) ).
fof(f79,plain,
( aScalar0(xx)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f21645,plain,
( spl2_1518
| ~ spl2_4
| ~ spl2_1009 ),
inference(avatar_split_clause,[],[f16131,f14976,f92,f21642]) ).
fof(f21642,plain,
( spl2_1518
<=> sdtasdt0(xv,xv) = smndt0(smndt0(sdtasdt0(xv,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1518])]) ).
fof(f14976,plain,
( spl2_1009
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = smndt0(smndt0(sdtasdt0(X0,xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1009])]) ).
fof(f16131,plain,
( sdtasdt0(xv,xv) = smndt0(smndt0(sdtasdt0(xv,xv)))
| ~ spl2_4
| ~ spl2_1009 ),
inference(resolution,[],[f14977,f94]) ).
fof(f14977,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = smndt0(smndt0(sdtasdt0(X0,xv))) )
| ~ spl2_1009 ),
inference(avatar_component_clause,[],[f14976]) ).
fof(f21420,plain,
( spl2_1517
| ~ spl2_4
| ~ spl2_140
| ~ spl2_1008 ),
inference(avatar_split_clause,[],[f16119,f14972,f1697,f92,f21417]) ).
fof(f21417,plain,
( spl2_1517
<=> sdtasdt0(xu,xv) = smndt0(smndt0(sdtasdt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1517])]) ).
fof(f1697,plain,
( spl2_140
<=> sdtasdt0(xv,xu) = sdtasdt0(xu,xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_140])]) ).
fof(f14972,plain,
( spl2_1008
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = smndt0(smndt0(sdtasdt0(X0,xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1008])]) ).
fof(f16119,plain,
( sdtasdt0(xu,xv) = smndt0(smndt0(sdtasdt0(xu,xv)))
| ~ spl2_4
| ~ spl2_140
| ~ spl2_1008 ),
inference(forward_demodulation,[],[f16112,f1699]) ).
fof(f1699,plain,
( sdtasdt0(xv,xu) = sdtasdt0(xu,xv)
| ~ spl2_140 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f16112,plain,
( sdtasdt0(xv,xu) = smndt0(smndt0(sdtasdt0(xv,xu)))
| ~ spl2_4
| ~ spl2_1008 ),
inference(resolution,[],[f14973,f94]) ).
fof(f14973,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = smndt0(smndt0(sdtasdt0(X0,xu))) )
| ~ spl2_1008 ),
inference(avatar_component_clause,[],[f14972]) ).
fof(f19761,plain,
( spl2_1516
| ~ spl2_1077
| ~ spl2_1256 ),
inference(avatar_split_clause,[],[f17966,f17962,f15312,f19758]) ).
fof(f19758,plain,
( spl2_1516
<=> sdtpldt0(xu,sdtpldt0(xv,xv)) = sdtpldt0(sdtpldt0(xu,sdtpldt0(xv,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1516])]) ).
fof(f15312,plain,
( spl2_1077
<=> sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(xu,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1077])]) ).
fof(f17962,plain,
( spl2_1256
<=> sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xv,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1256])]) ).
fof(f17966,plain,
( sdtpldt0(xu,sdtpldt0(xv,xv)) = sdtpldt0(sdtpldt0(xu,sdtpldt0(xv,xv)),sz0z00)
| ~ spl2_1077
| ~ spl2_1256 ),
inference(forward_demodulation,[],[f17964,f15314]) ).
fof(f15314,plain,
( sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(xu,sdtpldt0(xv,xv))
| ~ spl2_1077 ),
inference(avatar_component_clause,[],[f15312]) ).
fof(f17964,plain,
( sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_1256 ),
inference(avatar_component_clause,[],[f17962]) ).
fof(f19149,plain,
( spl2_1515
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_115
| ~ spl2_141
| ~ spl2_659 ),
inference(avatar_split_clause,[],[f11772,f11493,f1726,f1224,f1174,f160,f102,f19146]) ).
fof(f19146,plain,
( spl2_1515
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1515])]) ).
fof(f102,plain,
( spl2_6
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f160,plain,
( spl2_18
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).
fof(f1174,plain,
( spl2_113
<=> sz0z00 = sdtasdt0(sz0z00,xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_113])]) ).
fof(f1224,plain,
( spl2_115
<=> sz0z00 = sdtpldt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_115])]) ).
fof(f1726,plain,
( spl2_141
<=> sP0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_141])]) ).
fof(f11493,plain,
( spl2_659
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_659])]) ).
fof(f11772,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_115
| ~ spl2_141
| ~ spl2_659 ),
inference(forward_demodulation,[],[f11771,f1226]) ).
fof(f1226,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl2_115 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f11771,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_141
| ~ spl2_659 ),
inference(forward_demodulation,[],[f11770,f1733]) ).
fof(f1733,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_18
| ~ spl2_141 ),
inference(resolution,[],[f1728,f161]) ).
fof(f161,plain,
( ! [X0] :
( ~ sP0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) )
| ~ spl2_18 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f1728,plain,
( sP0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_141 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f11770,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_659 ),
inference(forward_demodulation,[],[f11758,f1176]) ).
fof(f1176,plain,
( sz0z00 = sdtasdt0(sz0z00,xv)
| ~ spl2_113 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f11758,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xv)) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_659 ),
inference(resolution,[],[f11494,f104]) ).
fof(f104,plain,
( aScalar0(sz0z00)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f11494,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) )
| ~ spl2_659 ),
inference(avatar_component_clause,[],[f11493]) ).
fof(f19144,plain,
( spl2_1514
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_115
| ~ spl2_141
| ~ spl2_658 ),
inference(avatar_split_clause,[],[f11752,f11489,f1726,f1224,f1149,f160,f102,f19141]) ).
fof(f19141,plain,
( spl2_1514
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1514])]) ).
fof(f1149,plain,
( spl2_108
<=> sz0z00 = sdtasdt0(sz0z00,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_108])]) ).
fof(f11489,plain,
( spl2_658
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_658])]) ).
fof(f11752,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_115
| ~ spl2_141
| ~ spl2_658 ),
inference(forward_demodulation,[],[f11751,f1226]) ).
fof(f11751,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_141
| ~ spl2_658 ),
inference(forward_demodulation,[],[f11750,f1733]) ).
fof(f11750,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_658 ),
inference(forward_demodulation,[],[f11738,f1151]) ).
fof(f1151,plain,
( sz0z00 = sdtasdt0(sz0z00,xu)
| ~ spl2_108 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f11738,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xu)) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_658 ),
inference(resolution,[],[f11490,f104]) ).
fof(f11490,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) )
| ~ spl2_658 ),
inference(avatar_component_clause,[],[f11489]) ).
fof(f19139,plain,
( spl2_1513
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_115
| ~ spl2_141
| ~ spl2_657 ),
inference(avatar_split_clause,[],[f11731,f11485,f1726,f1224,f1015,f160,f102,f19136]) ).
fof(f19136,plain,
( spl2_1513
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1513])]) ).
fof(f1015,plain,
( spl2_94
<=> sz0z00 = sdtasdt0(sz0z00,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_94])]) ).
fof(f11485,plain,
( spl2_657
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_657])]) ).
fof(f11731,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_115
| ~ spl2_141
| ~ spl2_657 ),
inference(forward_demodulation,[],[f11730,f1226]) ).
fof(f11730,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_141
| ~ spl2_657 ),
inference(forward_demodulation,[],[f11729,f1733]) ).
fof(f11729,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_657 ),
inference(forward_demodulation,[],[f11717,f1017]) ).
fof(f1017,plain,
( sz0z00 = sdtasdt0(sz0z00,xy)
| ~ spl2_94 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f11717,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xy)) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_657 ),
inference(resolution,[],[f11486,f104]) ).
fof(f11486,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) )
| ~ spl2_657 ),
inference(avatar_component_clause,[],[f11485]) ).
fof(f19134,plain,
( spl2_1512
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_115
| ~ spl2_141
| ~ spl2_656 ),
inference(avatar_split_clause,[],[f11709,f11481,f1726,f1224,f635,f160,f102,f19131]) ).
fof(f19131,plain,
( spl2_1512
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1512])]) ).
fof(f635,plain,
( spl2_66
<=> sz0z00 = sdtasdt0(sz0z00,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_66])]) ).
fof(f11481,plain,
( spl2_656
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_656])]) ).
fof(f11709,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_115
| ~ spl2_141
| ~ spl2_656 ),
inference(forward_demodulation,[],[f11708,f1226]) ).
fof(f11708,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_141
| ~ spl2_656 ),
inference(forward_demodulation,[],[f11707,f1733]) ).
fof(f11707,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_656 ),
inference(forward_demodulation,[],[f11695,f637]) ).
fof(f637,plain,
( sz0z00 = sdtasdt0(sz0z00,xx)
| ~ spl2_66 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f11695,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xx)) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_656 ),
inference(resolution,[],[f11482,f104]) ).
fof(f11482,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) )
| ~ spl2_656 ),
inference(avatar_component_clause,[],[f11481]) ).
fof(f19129,plain,
( spl2_1511
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_141
| ~ spl2_633 ),
inference(avatar_split_clause,[],[f11231,f10847,f1726,f1174,f160,f102,f19126]) ).
fof(f19126,plain,
( spl2_1511
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1511])]) ).
fof(f10847,plain,
( spl2_633
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_633])]) ).
fof(f11231,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_141
| ~ spl2_633 ),
inference(forward_demodulation,[],[f11230,f1176]) ).
fof(f11230,plain,
( sdtasdt0(sz0z00,xv) = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_141
| ~ spl2_633 ),
inference(forward_demodulation,[],[f11218,f1733]) ).
fof(f11218,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_633 ),
inference(resolution,[],[f10848,f104]) ).
fof(f10848,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) )
| ~ spl2_633 ),
inference(avatar_component_clause,[],[f10847]) ).
fof(f19122,plain,
( spl2_1510
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_141
| ~ spl2_632 ),
inference(avatar_split_clause,[],[f11217,f10843,f1726,f1149,f160,f102,f19119]) ).
fof(f19119,plain,
( spl2_1510
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1510])]) ).
fof(f10843,plain,
( spl2_632
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_632])]) ).
fof(f11217,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_141
| ~ spl2_632 ),
inference(forward_demodulation,[],[f11216,f1151]) ).
fof(f11216,plain,
( sdtasdt0(sz0z00,xu) = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_141
| ~ spl2_632 ),
inference(forward_demodulation,[],[f11204,f1733]) ).
fof(f11204,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_632 ),
inference(resolution,[],[f10844,f104]) ).
fof(f10844,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) )
| ~ spl2_632 ),
inference(avatar_component_clause,[],[f10843]) ).
fof(f19117,plain,
( spl2_1509
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_141
| ~ spl2_631 ),
inference(avatar_split_clause,[],[f11201,f10839,f1726,f1015,f160,f102,f19114]) ).
fof(f19114,plain,
( spl2_1509
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1509])]) ).
fof(f10839,plain,
( spl2_631
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_631])]) ).
fof(f11201,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_141
| ~ spl2_631 ),
inference(forward_demodulation,[],[f11200,f1017]) ).
fof(f11200,plain,
( sdtasdt0(sz0z00,xy) = sdtasdt0(sz0z00,sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_141
| ~ spl2_631 ),
inference(forward_demodulation,[],[f11188,f1733]) ).
fof(f11188,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtasdt0(sz0z00,sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_631 ),
inference(resolution,[],[f10840,f104]) ).
fof(f10840,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) )
| ~ spl2_631 ),
inference(avatar_component_clause,[],[f10839]) ).
fof(f19112,plain,
( spl2_1508
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_141
| ~ spl2_630 ),
inference(avatar_split_clause,[],[f11187,f10835,f1726,f635,f160,f102,f19109]) ).
fof(f19109,plain,
( spl2_1508
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1508])]) ).
fof(f10835,plain,
( spl2_630
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_630])]) ).
fof(f11187,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_141
| ~ spl2_630 ),
inference(forward_demodulation,[],[f11186,f637]) ).
fof(f11186,plain,
( sdtasdt0(sz0z00,xx) = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_141
| ~ spl2_630 ),
inference(forward_demodulation,[],[f11174,f1733]) ).
fof(f11174,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_630 ),
inference(resolution,[],[f10836,f104]) ).
fof(f10836,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) )
| ~ spl2_630 ),
inference(avatar_component_clause,[],[f10835]) ).
fof(f19107,plain,
( spl2_1507
| ~ spl2_18
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f9467,f9447,f1604,f1282,f1224,f514,f160,f19104]) ).
fof(f19104,plain,
( spl2_1507
<=> sz0z00 = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1507])]) ).
fof(f514,plain,
( spl2_53
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).
fof(f1282,plain,
( spl2_125
<=> aScalar0(sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_125])]) ).
fof(f1604,plain,
( spl2_126
<=> sP0(sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_126])]) ).
fof(f9447,plain,
( spl2_586
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_586])]) ).
fof(f9467,plain,
( sz0z00 = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_586 ),
inference(forward_demodulation,[],[f9466,f1226]) ).
fof(f9466,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_586 ),
inference(forward_demodulation,[],[f9465,f1662]) ).
fof(f1662,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,xv))
| ~ spl2_18
| ~ spl2_126 ),
inference(resolution,[],[f1606,f161]) ).
fof(f1606,plain,
( sP0(sdtpldt0(xu,xv))
| ~ spl2_126 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f9465,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_53
| ~ spl2_125
| ~ spl2_586 ),
inference(forward_demodulation,[],[f9452,f1383]) ).
fof(f1383,plain,
( sdtasdt0(sdtpldt0(xu,xv),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,xv))
| ~ spl2_53
| ~ spl2_125 ),
inference(resolution,[],[f1283,f515]) ).
fof(f515,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f1283,plain,
( aScalar0(sdtpldt0(xu,xv))
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f9452,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_125
| ~ spl2_586 ),
inference(resolution,[],[f9448,f1283]) ).
fof(f9448,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) )
| ~ spl2_586 ),
inference(avatar_component_clause,[],[f9447]) ).
fof(f19102,plain,
( spl2_1506
| ~ spl2_18
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_566 ),
inference(avatar_split_clause,[],[f9323,f9303,f1604,f1282,f1224,f514,f160,f19099]) ).
fof(f19099,plain,
( spl2_1506
<=> sz0z00 = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1506])]) ).
fof(f9303,plain,
( spl2_566
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_566])]) ).
fof(f9323,plain,
( sz0z00 = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_566 ),
inference(forward_demodulation,[],[f9322,f1226]) ).
fof(f9322,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_566 ),
inference(forward_demodulation,[],[f9321,f1662]) ).
fof(f9321,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_53
| ~ spl2_125
| ~ spl2_566 ),
inference(forward_demodulation,[],[f9308,f1383]) ).
fof(f9308,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_125
| ~ spl2_566 ),
inference(resolution,[],[f9304,f1283]) ).
fof(f9304,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) )
| ~ spl2_566 ),
inference(avatar_component_clause,[],[f9303]) ).
fof(f19097,plain,
( spl2_1505
| ~ spl2_18
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_510 ),
inference(avatar_split_clause,[],[f8050,f8034,f1604,f1282,f514,f160,f19094]) ).
fof(f19094,plain,
( spl2_1505
<=> sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1505])]) ).
fof(f8034,plain,
( spl2_510
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_510])]) ).
fof(f8050,plain,
( sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_510 ),
inference(forward_demodulation,[],[f8049,f1662]) ).
fof(f8049,plain,
( sdtasdt0(sz0z00,sdtpldt0(xu,xv)) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_53
| ~ spl2_125
| ~ spl2_510 ),
inference(forward_demodulation,[],[f8039,f1383]) ).
fof(f8039,plain,
( sdtasdt0(sdtpldt0(xu,xv),sz0z00) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_125
| ~ spl2_510 ),
inference(resolution,[],[f8035,f1283]) ).
fof(f8035,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) )
| ~ spl2_510 ),
inference(avatar_component_clause,[],[f8034]) ).
fof(f19092,plain,
( spl2_1504
| ~ spl2_18
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_499 ),
inference(avatar_split_clause,[],[f7979,f7963,f1604,f1282,f514,f160,f19089]) ).
fof(f19089,plain,
( spl2_1504
<=> sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1504])]) ).
fof(f7963,plain,
( spl2_499
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_499])]) ).
fof(f7979,plain,
( sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_499 ),
inference(forward_demodulation,[],[f7978,f1662]) ).
fof(f7978,plain,
( sdtasdt0(sz0z00,sdtpldt0(xu,xv)) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_53
| ~ spl2_125
| ~ spl2_499 ),
inference(forward_demodulation,[],[f7968,f1383]) ).
fof(f7968,plain,
( sdtasdt0(sdtpldt0(xu,xv),sz0z00) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_125
| ~ spl2_499 ),
inference(resolution,[],[f7964,f1283]) ).
fof(f7964,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) )
| ~ spl2_499 ),
inference(avatar_component_clause,[],[f7963]) ).
fof(f19087,plain,
( spl2_1503
| ~ spl2_4
| ~ spl2_259
| ~ spl2_403 ),
inference(avatar_split_clause,[],[f7000,f6972,f4363,f92,f19085]) ).
fof(f19085,plain,
( spl2_1503
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xv)) = sdtpldt0(sdtpldt0(X0,smndt0(xv)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1503])]) ).
fof(f4363,plain,
( spl2_259
<=> smndt0(xv) = sdtpldt0(smndt0(xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_259])]) ).
fof(f6972,plain,
( spl2_403
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_403])]) ).
fof(f7000,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xv)) = sdtpldt0(sdtpldt0(X0,smndt0(xv)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_259
| ~ spl2_403 ),
inference(forward_demodulation,[],[f6990,f4365]) ).
fof(f4365,plain,
( smndt0(xv) = sdtpldt0(smndt0(xv),sz0z00)
| ~ spl2_259 ),
inference(avatar_component_clause,[],[f4363]) ).
fof(f6990,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xv)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(xv),sz0z00)) )
| ~ spl2_4
| ~ spl2_403 ),
inference(resolution,[],[f6973,f94]) ).
fof(f6973,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz0z00)) )
| ~ spl2_403 ),
inference(avatar_component_clause,[],[f6972]) ).
fof(f19083,plain,
( spl2_1502
| ~ spl2_3
| ~ spl2_255
| ~ spl2_403 ),
inference(avatar_split_clause,[],[f6999,f6972,f4249,f87,f19081]) ).
fof(f19081,plain,
( spl2_1502
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xu)) = sdtpldt0(sdtpldt0(X0,smndt0(xu)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1502])]) ).
fof(f4249,plain,
( spl2_255
<=> smndt0(xu) = sdtpldt0(smndt0(xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_255])]) ).
fof(f6999,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xu)) = sdtpldt0(sdtpldt0(X0,smndt0(xu)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_255
| ~ spl2_403 ),
inference(forward_demodulation,[],[f6989,f4251]) ).
fof(f4251,plain,
( smndt0(xu) = sdtpldt0(smndt0(xu),sz0z00)
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f4249]) ).
fof(f6989,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xu)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(xu),sz0z00)) )
| ~ spl2_3
| ~ spl2_403 ),
inference(resolution,[],[f6973,f89]) ).
fof(f19079,plain,
( spl2_1501
| ~ spl2_2
| ~ spl2_249
| ~ spl2_403 ),
inference(avatar_split_clause,[],[f6998,f6972,f4032,f82,f19077]) ).
fof(f19077,plain,
( spl2_1501
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xy)) = sdtpldt0(sdtpldt0(X0,smndt0(xy)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1501])]) ).
fof(f4032,plain,
( spl2_249
<=> smndt0(xy) = sdtpldt0(smndt0(xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_249])]) ).
fof(f6998,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xy)) = sdtpldt0(sdtpldt0(X0,smndt0(xy)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_249
| ~ spl2_403 ),
inference(forward_demodulation,[],[f6988,f4034]) ).
fof(f4034,plain,
( smndt0(xy) = sdtpldt0(smndt0(xy),sz0z00)
| ~ spl2_249 ),
inference(avatar_component_clause,[],[f4032]) ).
fof(f6988,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xy)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(xy),sz0z00)) )
| ~ spl2_2
| ~ spl2_403 ),
inference(resolution,[],[f6973,f84]) ).
fof(f19073,plain,
( spl2_1500
| ~ spl2_1
| ~ spl2_248
| ~ spl2_403 ),
inference(avatar_split_clause,[],[f6997,f6972,f3690,f77,f19071]) ).
fof(f19071,plain,
( spl2_1500
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xx)) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1500])]) ).
fof(f3690,plain,
( spl2_248
<=> smndt0(xx) = sdtpldt0(smndt0(xx),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_248])]) ).
fof(f6997,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xx)) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_248
| ~ spl2_403 ),
inference(forward_demodulation,[],[f6987,f3692]) ).
fof(f3692,plain,
( smndt0(xx) = sdtpldt0(smndt0(xx),sz0z00)
| ~ spl2_248 ),
inference(avatar_component_clause,[],[f3690]) ).
fof(f6987,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xx)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(xx),sz0z00)) )
| ~ spl2_1
| ~ spl2_403 ),
inference(resolution,[],[f6973,f79]) ).
fof(f19069,plain,
( spl2_1499
| ~ spl2_4
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f6393,f6314,f92,f19067]) ).
fof(f19067,plain,
( spl2_1499
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1499])]) ).
fof(f6314,plain,
( spl2_369
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_369])]) ).
fof(f6393,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_369 ),
inference(resolution,[],[f6315,f94]) ).
fof(f6315,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_369 ),
inference(avatar_component_clause,[],[f6314]) ).
fof(f19065,plain,
( spl2_1498
| ~ spl2_3
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f6392,f6314,f87,f19063]) ).
fof(f19063,plain,
( spl2_1498
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1498])]) ).
fof(f6392,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_369 ),
inference(resolution,[],[f6315,f89]) ).
fof(f19061,plain,
( spl2_1497
| ~ spl2_2
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f6391,f6314,f82,f19059]) ).
fof(f19059,plain,
( spl2_1497
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1497])]) ).
fof(f6391,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_369 ),
inference(resolution,[],[f6315,f84]) ).
fof(f19057,plain,
( spl2_1496
| ~ spl2_1
| ~ spl2_369 ),
inference(avatar_split_clause,[],[f6390,f6314,f77,f19055]) ).
fof(f19055,plain,
( spl2_1496
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1496])]) ).
fof(f6390,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_369 ),
inference(resolution,[],[f6315,f79]) ).
fof(f19053,plain,
( spl2_1495
| ~ spl2_4
| ~ spl2_368 ),
inference(avatar_split_clause,[],[f6381,f6310,f92,f19051]) ).
fof(f19051,plain,
( spl2_1495
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1495])]) ).
fof(f6310,plain,
( spl2_368
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_368])]) ).
fof(f6381,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_368 ),
inference(resolution,[],[f6311,f94]) ).
fof(f6311,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_368 ),
inference(avatar_component_clause,[],[f6310]) ).
fof(f19049,plain,
( spl2_1494
| ~ spl2_3
| ~ spl2_368 ),
inference(avatar_split_clause,[],[f6380,f6310,f87,f19047]) ).
fof(f19047,plain,
( spl2_1494
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1494])]) ).
fof(f6380,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_368 ),
inference(resolution,[],[f6311,f89]) ).
fof(f19045,plain,
( spl2_1493
| ~ spl2_2
| ~ spl2_368 ),
inference(avatar_split_clause,[],[f6379,f6310,f82,f19043]) ).
fof(f19043,plain,
( spl2_1493
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1493])]) ).
fof(f6379,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_368 ),
inference(resolution,[],[f6311,f84]) ).
fof(f19041,plain,
( spl2_1492
| ~ spl2_1
| ~ spl2_368 ),
inference(avatar_split_clause,[],[f6378,f6310,f77,f19039]) ).
fof(f19039,plain,
( spl2_1492
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1492])]) ).
fof(f6378,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_368 ),
inference(resolution,[],[f6311,f79]) ).
fof(f19037,plain,
( spl2_1491
| ~ spl2_4
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f6369,f6306,f92,f19035]) ).
fof(f19035,plain,
( spl2_1491
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1491])]) ).
fof(f6306,plain,
( spl2_367
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_367])]) ).
fof(f6369,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_367 ),
inference(resolution,[],[f6307,f94]) ).
fof(f6307,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f6306]) ).
fof(f19031,plain,
( spl2_1490
| ~ spl2_3
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f6368,f6306,f87,f19029]) ).
fof(f19029,plain,
( spl2_1490
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1490])]) ).
fof(f6368,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_367 ),
inference(resolution,[],[f6307,f89]) ).
fof(f19027,plain,
( spl2_1489
| ~ spl2_2
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f6367,f6306,f82,f19025]) ).
fof(f19025,plain,
( spl2_1489
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1489])]) ).
fof(f6367,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_367 ),
inference(resolution,[],[f6307,f84]) ).
fof(f19023,plain,
( spl2_1488
| ~ spl2_1
| ~ spl2_367 ),
inference(avatar_split_clause,[],[f6366,f6306,f77,f19021]) ).
fof(f19021,plain,
( spl2_1488
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1488])]) ).
fof(f6366,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_367 ),
inference(resolution,[],[f6307,f79]) ).
fof(f19019,plain,
( spl2_1487
| ~ spl2_4
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f6357,f6302,f92,f19017]) ).
fof(f19017,plain,
( spl2_1487
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1487])]) ).
fof(f6302,plain,
( spl2_366
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_366])]) ).
fof(f6357,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_366 ),
inference(resolution,[],[f6303,f94]) ).
fof(f6303,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_366 ),
inference(avatar_component_clause,[],[f6302]) ).
fof(f19015,plain,
( spl2_1486
| ~ spl2_3
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f6356,f6302,f87,f19013]) ).
fof(f19013,plain,
( spl2_1486
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1486])]) ).
fof(f6356,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_366 ),
inference(resolution,[],[f6303,f89]) ).
fof(f19011,plain,
( spl2_1485
| ~ spl2_2
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f6355,f6302,f82,f19009]) ).
fof(f19009,plain,
( spl2_1485
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1485])]) ).
fof(f6355,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_366 ),
inference(resolution,[],[f6303,f84]) ).
fof(f19007,plain,
( spl2_1484
| ~ spl2_1
| ~ spl2_366 ),
inference(avatar_split_clause,[],[f6354,f6302,f77,f19005]) ).
fof(f19005,plain,
( spl2_1484
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1484])]) ).
fof(f6354,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_366 ),
inference(resolution,[],[f6303,f79]) ).
fof(f19003,plain,
( spl2_1483
| ~ spl2_4
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f6248,f4757,f92,f19001]) ).
fof(f19001,plain,
( spl2_1483
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xv,xv)) = sdtasdt0(sdtasdt0(xv,xv),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1483])]) ).
fof(f4757,plain,
( spl2_334
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xv)) = sdtasdt0(sdtasdt0(X1,xv),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_334])]) ).
fof(f6248,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xv,xv)) = sdtasdt0(sdtasdt0(xv,xv),X0) )
| ~ spl2_4
| ~ spl2_334 ),
inference(resolution,[],[f4758,f94]) ).
fof(f4758,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xv)) = sdtasdt0(sdtasdt0(X1,xv),X0) )
| ~ spl2_334 ),
inference(avatar_component_clause,[],[f4757]) ).
fof(f18999,plain,
( spl2_1482
| ~ spl2_4
| ~ spl2_140
| ~ spl2_333 ),
inference(avatar_split_clause,[],[f6236,f4753,f1697,f92,f18997]) ).
fof(f18997,plain,
( spl2_1482
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xu,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1482])]) ).
fof(f4753,plain,
( spl2_333
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xu)) = sdtasdt0(sdtasdt0(X1,xu),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_333])]) ).
fof(f6236,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xu,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_140
| ~ spl2_333 ),
inference(forward_demodulation,[],[f6230,f1699]) ).
fof(f6230,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xv,xu)) = sdtasdt0(sdtasdt0(xv,xu),X0) )
| ~ spl2_4
| ~ spl2_333 ),
inference(resolution,[],[f4754,f94]) ).
fof(f4754,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xu)) = sdtasdt0(sdtasdt0(X1,xu),X0) )
| ~ spl2_333 ),
inference(avatar_component_clause,[],[f4753]) ).
fof(f18995,plain,
( spl2_1481
| ~ spl2_3
| ~ spl2_333 ),
inference(avatar_split_clause,[],[f6229,f4753,f87,f18993]) ).
fof(f18993,plain,
( spl2_1481
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xu,xu)) = sdtasdt0(sdtasdt0(xu,xu),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1481])]) ).
fof(f6229,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xu,xu)) = sdtasdt0(sdtasdt0(xu,xu),X0) )
| ~ spl2_3
| ~ spl2_333 ),
inference(resolution,[],[f4754,f89]) ).
fof(f18989,plain,
( spl2_1480
| ~ spl2_4
| ~ spl2_139
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f6218,f4749,f1692,f92,f18987]) ).
fof(f18987,plain,
( spl2_1480
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1480])]) ).
fof(f1692,plain,
( spl2_139
<=> sdtasdt0(xy,xv) = sdtasdt0(xv,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_139])]) ).
fof(f4749,plain,
( spl2_332
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xy)) = sdtasdt0(sdtasdt0(X1,xy),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_332])]) ).
fof(f6218,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_139
| ~ spl2_332 ),
inference(forward_demodulation,[],[f6211,f1694]) ).
fof(f1694,plain,
( sdtasdt0(xy,xv) = sdtasdt0(xv,xy)
| ~ spl2_139 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f6211,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xv,xy)) = sdtasdt0(sdtasdt0(xv,xy),X0) )
| ~ spl2_4
| ~ spl2_332 ),
inference(resolution,[],[f4750,f94]) ).
fof(f4750,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xy)) = sdtasdt0(sdtasdt0(X1,xy),X0) )
| ~ spl2_332 ),
inference(avatar_component_clause,[],[f4749]) ).
fof(f18985,plain,
( spl2_1479
| ~ spl2_3
| ~ spl2_138
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f6217,f4749,f1687,f87,f18983]) ).
fof(f18983,plain,
( spl2_1479
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1479])]) ).
fof(f1687,plain,
( spl2_138
<=> sdtasdt0(xy,xu) = sdtasdt0(xu,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_138])]) ).
fof(f6217,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_138
| ~ spl2_332 ),
inference(forward_demodulation,[],[f6210,f1689]) ).
fof(f1689,plain,
( sdtasdt0(xy,xu) = sdtasdt0(xu,xy)
| ~ spl2_138 ),
inference(avatar_component_clause,[],[f1687]) ).
fof(f6210,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xu,xy)) = sdtasdt0(sdtasdt0(xu,xy),X0) )
| ~ spl2_3
| ~ spl2_332 ),
inference(resolution,[],[f4750,f89]) ).
fof(f18981,plain,
( spl2_1478
| ~ spl2_2
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f6209,f4749,f82,f18979]) ).
fof(f18979,plain,
( spl2_1478
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xy,xy)) = sdtasdt0(sdtasdt0(xy,xy),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1478])]) ).
fof(f6209,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xy,xy)) = sdtasdt0(sdtasdt0(xy,xy),X0) )
| ~ spl2_2
| ~ spl2_332 ),
inference(resolution,[],[f4750,f84]) ).
fof(f18977,plain,
( spl2_1477
| ~ spl2_4
| ~ spl2_137
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f6199,f4740,f1682,f92,f18975]) ).
fof(f18975,plain,
( spl2_1477
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1477])]) ).
fof(f1682,plain,
( spl2_137
<=> sdtasdt0(xx,xv) = sdtasdt0(xv,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_137])]) ).
fof(f4740,plain,
( spl2_330
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xx)) = sdtasdt0(sdtasdt0(X1,xx),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_330])]) ).
fof(f6199,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_137
| ~ spl2_330 ),
inference(forward_demodulation,[],[f6191,f1684]) ).
fof(f1684,plain,
( sdtasdt0(xx,xv) = sdtasdt0(xv,xx)
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f1682]) ).
fof(f6191,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xv,xx)) = sdtasdt0(sdtasdt0(xv,xx),X0) )
| ~ spl2_4
| ~ spl2_330 ),
inference(resolution,[],[f4741,f94]) ).
fof(f4741,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xx)) = sdtasdt0(sdtasdt0(X1,xx),X0) )
| ~ spl2_330 ),
inference(avatar_component_clause,[],[f4740]) ).
fof(f18973,plain,
( spl2_1476
| ~ spl2_3
| ~ spl2_136
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f6198,f4740,f1677,f87,f18971]) ).
fof(f18971,plain,
( spl2_1476
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1476])]) ).
fof(f1677,plain,
( spl2_136
<=> sdtasdt0(xx,xu) = sdtasdt0(xu,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_136])]) ).
fof(f6198,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_136
| ~ spl2_330 ),
inference(forward_demodulation,[],[f6190,f1679]) ).
fof(f1679,plain,
( sdtasdt0(xx,xu) = sdtasdt0(xu,xx)
| ~ spl2_136 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f6190,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xu,xx)) = sdtasdt0(sdtasdt0(xu,xx),X0) )
| ~ spl2_3
| ~ spl2_330 ),
inference(resolution,[],[f4741,f89]) ).
fof(f18969,plain,
( spl2_1475
| ~ spl2_2
| ~ spl2_135
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f6197,f4740,f1672,f82,f18967]) ).
fof(f18967,plain,
( spl2_1475
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xy),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1475])]) ).
fof(f1672,plain,
( spl2_135
<=> sdtasdt0(xy,xx) = sdtasdt0(xx,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_135])]) ).
fof(f6197,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xy),X0)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_135
| ~ spl2_330 ),
inference(forward_demodulation,[],[f6189,f1674]) ).
fof(f1674,plain,
( sdtasdt0(xy,xx) = sdtasdt0(xx,xy)
| ~ spl2_135 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f6189,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xy,xx)) = sdtasdt0(sdtasdt0(xy,xx),X0) )
| ~ spl2_2
| ~ spl2_330 ),
inference(resolution,[],[f4741,f84]) ).
fof(f18965,plain,
( spl2_1474
| ~ spl2_1
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f6188,f4740,f77,f18963]) ).
fof(f18963,plain,
( spl2_1474
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xx),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1474])]) ).
fof(f6188,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xx),X0) )
| ~ spl2_1
| ~ spl2_330 ),
inference(resolution,[],[f4741,f79]) ).
fof(f18961,plain,
( spl2_1473
| ~ spl2_4
| ~ spl2_329 ),
inference(avatar_split_clause,[],[f6174,f4736,f92,f18959]) ).
fof(f18959,plain,
( spl2_1473
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xv,xv)) = sdtasdt0(sdtpldt0(xv,xv),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1473])]) ).
fof(f4736,plain,
( spl2_329
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xv)) = sdtasdt0(sdtpldt0(X1,xv),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_329])]) ).
fof(f6174,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xv,xv)) = sdtasdt0(sdtpldt0(xv,xv),X0) )
| ~ spl2_4
| ~ spl2_329 ),
inference(resolution,[],[f4737,f94]) ).
fof(f4737,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xv)) = sdtasdt0(sdtpldt0(X1,xv),X0) )
| ~ spl2_329 ),
inference(avatar_component_clause,[],[f4736]) ).
fof(f18957,plain,
( spl2_1472
| ~ spl2_3
| ~ spl2_328 ),
inference(avatar_split_clause,[],[f6155,f4732,f87,f18955]) ).
fof(f18955,plain,
( spl2_1472
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xu,xu)) = sdtasdt0(sdtpldt0(xu,xu),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1472])]) ).
fof(f4732,plain,
( spl2_328
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xu)) = sdtasdt0(sdtpldt0(X1,xu),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_328])]) ).
fof(f6155,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xu,xu)) = sdtasdt0(sdtpldt0(xu,xu),X0) )
| ~ spl2_3
| ~ spl2_328 ),
inference(resolution,[],[f4733,f89]) ).
fof(f4733,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xu)) = sdtasdt0(sdtpldt0(X1,xu),X0) )
| ~ spl2_328 ),
inference(avatar_component_clause,[],[f4732]) ).
fof(f18953,plain,
( spl2_1471
| ~ spl2_4
| ~ spl2_133
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f6144,f4728,f1655,f92,f18951]) ).
fof(f18951,plain,
( spl2_1471
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1471])]) ).
fof(f1655,plain,
( spl2_133
<=> sdtpldt0(xv,xy) = sdtpldt0(xy,xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_133])]) ).
fof(f4728,plain,
( spl2_327
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xy)) = sdtasdt0(sdtpldt0(X1,xy),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_327])]) ).
fof(f6144,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_133
| ~ spl2_327 ),
inference(forward_demodulation,[],[f6137,f1657]) ).
fof(f1657,plain,
( sdtpldt0(xv,xy) = sdtpldt0(xy,xv)
| ~ spl2_133 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f6137,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xv,xy)) = sdtasdt0(sdtpldt0(xv,xy),X0) )
| ~ spl2_4
| ~ spl2_327 ),
inference(resolution,[],[f4729,f94]) ).
fof(f4729,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xy)) = sdtasdt0(sdtpldt0(X1,xy),X0) )
| ~ spl2_327 ),
inference(avatar_component_clause,[],[f4728]) ).
fof(f18947,plain,
( spl2_1470
| ~ spl2_3
| ~ spl2_132
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f6143,f4728,f1650,f87,f18945]) ).
fof(f18945,plain,
( spl2_1470
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1470])]) ).
fof(f1650,plain,
( spl2_132
<=> sdtpldt0(xu,xy) = sdtpldt0(xy,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_132])]) ).
fof(f6143,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_132
| ~ spl2_327 ),
inference(forward_demodulation,[],[f6136,f1652]) ).
fof(f1652,plain,
( sdtpldt0(xu,xy) = sdtpldt0(xy,xu)
| ~ spl2_132 ),
inference(avatar_component_clause,[],[f1650]) ).
fof(f6136,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xu,xy)) = sdtasdt0(sdtpldt0(xu,xy),X0) )
| ~ spl2_3
| ~ spl2_327 ),
inference(resolution,[],[f4729,f89]) ).
fof(f18943,plain,
( spl2_1469
| ~ spl2_2
| ~ spl2_327 ),
inference(avatar_split_clause,[],[f6135,f4728,f82,f18941]) ).
fof(f18941,plain,
( spl2_1469
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1469])]) ).
fof(f6135,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),X0) )
| ~ spl2_2
| ~ spl2_327 ),
inference(resolution,[],[f4729,f84]) ).
fof(f18939,plain,
( spl2_1468
| ~ spl2_4
| ~ spl2_131
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f6120,f4724,f1645,f92,f18937]) ).
fof(f18937,plain,
( spl2_1468
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1468])]) ).
fof(f4724,plain,
( spl2_326
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtasdt0(sdtpldt0(X1,xx),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_326])]) ).
fof(f6120,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_131
| ~ spl2_326 ),
inference(forward_demodulation,[],[f6112,f1647]) ).
fof(f6112,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xv,xx)) = sdtasdt0(sdtpldt0(xv,xx),X0) )
| ~ spl2_4
| ~ spl2_326 ),
inference(resolution,[],[f4725,f94]) ).
fof(f4725,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtasdt0(sdtpldt0(X1,xx),X0) )
| ~ spl2_326 ),
inference(avatar_component_clause,[],[f4724]) ).
fof(f18935,plain,
( spl2_1467
| ~ spl2_3
| ~ spl2_130
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f6119,f4724,f1640,f87,f18933]) ).
fof(f18933,plain,
( spl2_1467
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1467])]) ).
fof(f6119,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_130
| ~ spl2_326 ),
inference(forward_demodulation,[],[f6111,f1642]) ).
fof(f6111,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xu,xx)) = sdtasdt0(sdtpldt0(xu,xx),X0) )
| ~ spl2_3
| ~ spl2_326 ),
inference(resolution,[],[f4725,f89]) ).
fof(f18931,plain,
( spl2_1466
| ~ spl2_2
| ~ spl2_129
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f6118,f4724,f1635,f82,f18929]) ).
fof(f18929,plain,
( spl2_1466
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1466])]) ).
fof(f6118,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),X0)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_129
| ~ spl2_326 ),
inference(forward_demodulation,[],[f6110,f1637]) ).
fof(f6110,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xy,xx)) = sdtasdt0(sdtpldt0(xy,xx),X0) )
| ~ spl2_2
| ~ spl2_326 ),
inference(resolution,[],[f4725,f84]) ).
fof(f18927,plain,
( spl2_1465
| ~ spl2_1
| ~ spl2_326 ),
inference(avatar_split_clause,[],[f6109,f4724,f77,f18925]) ).
fof(f18925,plain,
( spl2_1465
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1465])]) ).
fof(f6109,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),X0) )
| ~ spl2_1
| ~ spl2_326 ),
inference(resolution,[],[f4725,f79]) ).
fof(f18923,plain,
( spl2_1464
| ~ spl2_4
| ~ spl2_325 ),
inference(avatar_split_clause,[],[f6095,f4720,f92,f18921]) ).
fof(f18921,plain,
( spl2_1464
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xv,xv)) = sdtpldt0(sdtasdt0(xv,xv),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1464])]) ).
fof(f4720,plain,
( spl2_325
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,xv)) = sdtpldt0(sdtasdt0(X1,xv),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_325])]) ).
fof(f6095,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xv,xv)) = sdtpldt0(sdtasdt0(xv,xv),X0) )
| ~ spl2_4
| ~ spl2_325 ),
inference(resolution,[],[f4721,f94]) ).
fof(f4721,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xv)) = sdtpldt0(sdtasdt0(X1,xv),X0) )
| ~ spl2_325 ),
inference(avatar_component_clause,[],[f4720]) ).
fof(f18919,plain,
( spl2_1463
| ~ spl2_4
| ~ spl2_140
| ~ spl2_324 ),
inference(avatar_split_clause,[],[f6083,f4716,f1697,f92,f18917]) ).
fof(f18917,plain,
( spl2_1463
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1463])]) ).
fof(f4716,plain,
( spl2_324
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,xu)) = sdtpldt0(sdtasdt0(X1,xu),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_324])]) ).
fof(f6083,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_140
| ~ spl2_324 ),
inference(forward_demodulation,[],[f6077,f1699]) ).
fof(f6077,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xv,xu)) = sdtpldt0(sdtasdt0(xv,xu),X0) )
| ~ spl2_4
| ~ spl2_324 ),
inference(resolution,[],[f4717,f94]) ).
fof(f4717,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xu)) = sdtpldt0(sdtasdt0(X1,xu),X0) )
| ~ spl2_324 ),
inference(avatar_component_clause,[],[f4716]) ).
fof(f18915,plain,
( spl2_1462
| ~ spl2_3
| ~ spl2_324 ),
inference(avatar_split_clause,[],[f6076,f4716,f87,f18913]) ).
fof(f18913,plain,
( spl2_1462
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xu,xu)) = sdtpldt0(sdtasdt0(xu,xu),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1462])]) ).
fof(f6076,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xu,xu)) = sdtpldt0(sdtasdt0(xu,xu),X0) )
| ~ spl2_3
| ~ spl2_324 ),
inference(resolution,[],[f4717,f89]) ).
fof(f18911,plain,
( spl2_1461
| ~ spl2_4
| ~ spl2_139
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f6065,f4712,f1692,f92,f18909]) ).
fof(f18909,plain,
( spl2_1461
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xy,xv)) = sdtpldt0(sdtasdt0(xy,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1461])]) ).
fof(f4712,plain,
( spl2_323
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,xy)) = sdtpldt0(sdtasdt0(X1,xy),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_323])]) ).
fof(f6065,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xy,xv)) = sdtpldt0(sdtasdt0(xy,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_139
| ~ spl2_323 ),
inference(forward_demodulation,[],[f6058,f1694]) ).
fof(f6058,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xv,xy)) = sdtpldt0(sdtasdt0(xv,xy),X0) )
| ~ spl2_4
| ~ spl2_323 ),
inference(resolution,[],[f4713,f94]) ).
fof(f4713,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xy)) = sdtpldt0(sdtasdt0(X1,xy),X0) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f4712]) ).
fof(f18905,plain,
( spl2_1460
| ~ spl2_3
| ~ spl2_138
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f6064,f4712,f1687,f87,f18903]) ).
fof(f18903,plain,
( spl2_1460
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xy,xu)) = sdtpldt0(sdtasdt0(xy,xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1460])]) ).
fof(f6064,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xy,xu)) = sdtpldt0(sdtasdt0(xy,xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_138
| ~ spl2_323 ),
inference(forward_demodulation,[],[f6057,f1689]) ).
fof(f6057,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xu,xy)) = sdtpldt0(sdtasdt0(xu,xy),X0) )
| ~ spl2_3
| ~ spl2_323 ),
inference(resolution,[],[f4713,f89]) ).
fof(f18901,plain,
( spl2_1459
| ~ spl2_2
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f6056,f4712,f82,f18899]) ).
fof(f18899,plain,
( spl2_1459
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xy),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1459])]) ).
fof(f6056,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xy),X0) )
| ~ spl2_2
| ~ spl2_323 ),
inference(resolution,[],[f4713,f84]) ).
fof(f18897,plain,
( spl2_1458
| ~ spl2_4
| ~ spl2_137
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f6046,f4708,f1682,f92,f18895]) ).
fof(f18895,plain,
( spl2_1458
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1458])]) ).
fof(f4708,plain,
( spl2_322
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,xx)) = sdtpldt0(sdtasdt0(X1,xx),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_322])]) ).
fof(f6046,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_137
| ~ spl2_322 ),
inference(forward_demodulation,[],[f6038,f1684]) ).
fof(f6038,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xv,xx)) = sdtpldt0(sdtasdt0(xv,xx),X0) )
| ~ spl2_4
| ~ spl2_322 ),
inference(resolution,[],[f4709,f94]) ).
fof(f4709,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xx)) = sdtpldt0(sdtasdt0(X1,xx),X0) )
| ~ spl2_322 ),
inference(avatar_component_clause,[],[f4708]) ).
fof(f18893,plain,
( spl2_1457
| ~ spl2_3
| ~ spl2_136
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f6045,f4708,f1677,f87,f18891]) ).
fof(f18891,plain,
( spl2_1457
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1457])]) ).
fof(f6045,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_136
| ~ spl2_322 ),
inference(forward_demodulation,[],[f6037,f1679]) ).
fof(f6037,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xu,xx)) = sdtpldt0(sdtasdt0(xu,xx),X0) )
| ~ spl2_3
| ~ spl2_322 ),
inference(resolution,[],[f4709,f89]) ).
fof(f18889,plain,
( spl2_1456
| ~ spl2_2
| ~ spl2_135
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f6044,f4708,f1672,f82,f18887]) ).
fof(f18887,plain,
( spl2_1456
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xy),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1456])]) ).
fof(f6044,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xy),X0)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_135
| ~ spl2_322 ),
inference(forward_demodulation,[],[f6036,f1674]) ).
fof(f6036,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xy,xx)) = sdtpldt0(sdtasdt0(xy,xx),X0) )
| ~ spl2_2
| ~ spl2_322 ),
inference(resolution,[],[f4709,f84]) ).
fof(f18885,plain,
( spl2_1455
| ~ spl2_1
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f6035,f4708,f77,f18883]) ).
fof(f18883,plain,
( spl2_1455
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1455])]) ).
fof(f6035,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),X0) )
| ~ spl2_1
| ~ spl2_322 ),
inference(resolution,[],[f4709,f79]) ).
fof(f18881,plain,
( spl2_1454
| ~ spl2_4
| ~ spl2_321 ),
inference(avatar_split_clause,[],[f6021,f4704,f92,f18879]) ).
fof(f18879,plain,
( spl2_1454
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xv,xv)) = sdtpldt0(sdtpldt0(xv,xv),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1454])]) ).
fof(f4704,plain,
( spl2_321
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xv)) = sdtpldt0(sdtpldt0(X1,xv),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_321])]) ).
fof(f6021,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xv,xv)) = sdtpldt0(sdtpldt0(xv,xv),X0) )
| ~ spl2_4
| ~ spl2_321 ),
inference(resolution,[],[f4705,f94]) ).
fof(f4705,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xv)) = sdtpldt0(sdtpldt0(X1,xv),X0) )
| ~ spl2_321 ),
inference(avatar_component_clause,[],[f4704]) ).
fof(f18877,plain,
( spl2_1453
| ~ spl2_3
| ~ spl2_319 ),
inference(avatar_split_clause,[],[f6002,f4695,f87,f18875]) ).
fof(f18875,plain,
( spl2_1453
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xu,xu)) = sdtpldt0(sdtpldt0(xu,xu),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1453])]) ).
fof(f4695,plain,
( spl2_319
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xu)) = sdtpldt0(sdtpldt0(X1,xu),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_319])]) ).
fof(f6002,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xu,xu)) = sdtpldt0(sdtpldt0(xu,xu),X0) )
| ~ spl2_3
| ~ spl2_319 ),
inference(resolution,[],[f4696,f89]) ).
fof(f4696,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xu)) = sdtpldt0(sdtpldt0(X1,xu),X0) )
| ~ spl2_319 ),
inference(avatar_component_clause,[],[f4695]) ).
fof(f18873,plain,
( spl2_1452
| ~ spl2_4
| ~ spl2_133
| ~ spl2_318 ),
inference(avatar_split_clause,[],[f5991,f4691,f1655,f92,f18871]) ).
fof(f18871,plain,
( spl2_1452
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xy,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1452])]) ).
fof(f4691,plain,
( spl2_318
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xy)) = sdtpldt0(sdtpldt0(X1,xy),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_318])]) ).
fof(f5991,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xy,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_133
| ~ spl2_318 ),
inference(forward_demodulation,[],[f5984,f1657]) ).
fof(f5984,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xv,xy)) = sdtpldt0(sdtpldt0(xv,xy),X0) )
| ~ spl2_4
| ~ spl2_318 ),
inference(resolution,[],[f4692,f94]) ).
fof(f4692,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xy)) = sdtpldt0(sdtpldt0(X1,xy),X0) )
| ~ spl2_318 ),
inference(avatar_component_clause,[],[f4691]) ).
fof(f18869,plain,
( spl2_1451
| ~ spl2_3
| ~ spl2_132
| ~ spl2_318 ),
inference(avatar_split_clause,[],[f5990,f4691,f1650,f87,f18867]) ).
fof(f18867,plain,
( spl2_1451
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xy,xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1451])]) ).
fof(f5990,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xy,xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_132
| ~ spl2_318 ),
inference(forward_demodulation,[],[f5983,f1652]) ).
fof(f5983,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xu,xy)) = sdtpldt0(sdtpldt0(xu,xy),X0) )
| ~ spl2_3
| ~ spl2_318 ),
inference(resolution,[],[f4692,f89]) ).
fof(f18863,plain,
( spl2_1450
| ~ spl2_2
| ~ spl2_318 ),
inference(avatar_split_clause,[],[f5982,f4691,f82,f18861]) ).
fof(f18861,plain,
( spl2_1450
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xy,xy)) = sdtpldt0(sdtpldt0(xy,xy),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1450])]) ).
fof(f5982,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xy,xy)) = sdtpldt0(sdtpldt0(xy,xy),X0) )
| ~ spl2_2
| ~ spl2_318 ),
inference(resolution,[],[f4692,f84]) ).
fof(f18859,plain,
( spl2_1449
| ~ spl2_4
| ~ spl2_131
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f5972,f4687,f1645,f92,f18857]) ).
fof(f18857,plain,
( spl2_1449
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1449])]) ).
fof(f4687,plain,
( spl2_317
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtpldt0(X1,xx),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_317])]) ).
fof(f5972,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_131
| ~ spl2_317 ),
inference(forward_demodulation,[],[f5964,f1647]) ).
fof(f5964,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xv,xx)) = sdtpldt0(sdtpldt0(xv,xx),X0) )
| ~ spl2_4
| ~ spl2_317 ),
inference(resolution,[],[f4688,f94]) ).
fof(f4688,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtpldt0(X1,xx),X0) )
| ~ spl2_317 ),
inference(avatar_component_clause,[],[f4687]) ).
fof(f18855,plain,
( spl2_1448
| ~ spl2_3
| ~ spl2_130
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f5971,f4687,f1640,f87,f18853]) ).
fof(f18853,plain,
( spl2_1448
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1448])]) ).
fof(f5971,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_130
| ~ spl2_317 ),
inference(forward_demodulation,[],[f5963,f1642]) ).
fof(f5963,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xu,xx)) = sdtpldt0(sdtpldt0(xu,xx),X0) )
| ~ spl2_3
| ~ spl2_317 ),
inference(resolution,[],[f4688,f89]) ).
fof(f18851,plain,
( spl2_1447
| ~ spl2_2
| ~ spl2_129
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f5970,f4687,f1635,f82,f18849]) ).
fof(f18849,plain,
( spl2_1447
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xy),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1447])]) ).
fof(f5970,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xy),X0)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_129
| ~ spl2_317 ),
inference(forward_demodulation,[],[f5962,f1637]) ).
fof(f5962,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xy,xx)) = sdtpldt0(sdtpldt0(xy,xx),X0) )
| ~ spl2_2
| ~ spl2_317 ),
inference(resolution,[],[f4688,f84]) ).
fof(f18847,plain,
( spl2_1446
| ~ spl2_1
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f5961,f4687,f77,f18845]) ).
fof(f18845,plain,
( spl2_1446
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xx),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1446])]) ).
fof(f5961,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xx),X0) )
| ~ spl2_1
| ~ spl2_317 ),
inference(resolution,[],[f4688,f79]) ).
fof(f18843,plain,
( spl2_1445
| ~ spl2_4
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f5466,f4614,f92,f18840]) ).
fof(f18840,plain,
( spl2_1445
<=> sdtasdt0(xv,sdtpldt0(xv,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1445])]) ).
fof(f4614,plain,
( spl2_299
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xv,xv)) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_299])]) ).
fof(f5466,plain,
( sdtasdt0(xv,sdtpldt0(xv,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_299 ),
inference(resolution,[],[f4615,f94]) ).
fof(f4615,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xv,xv)) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xv)) )
| ~ spl2_299 ),
inference(avatar_component_clause,[],[f4614]) ).
fof(f18838,plain,
( spl2_1444
| ~ spl2_3
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f5465,f4614,f87,f18835]) ).
fof(f18835,plain,
( spl2_1444
<=> sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xv)) = sdtasdt0(xu,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1444])]) ).
fof(f5465,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xv)) = sdtasdt0(xu,sdtpldt0(xv,xv))
| ~ spl2_3
| ~ spl2_299 ),
inference(resolution,[],[f4615,f89]) ).
fof(f18833,plain,
( spl2_1443
| ~ spl2_2
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f5464,f4614,f82,f18830]) ).
fof(f18830,plain,
( spl2_1443
<=> sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xv)) = sdtasdt0(xy,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1443])]) ).
fof(f5464,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xv)) = sdtasdt0(xy,sdtpldt0(xv,xv))
| ~ spl2_2
| ~ spl2_299 ),
inference(resolution,[],[f4615,f84]) ).
fof(f18828,plain,
( spl2_1442
| ~ spl2_1
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f5463,f4614,f77,f18825]) ).
fof(f18825,plain,
( spl2_1442
<=> sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xv)) = sdtasdt0(xx,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1442])]) ).
fof(f5463,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xv)) = sdtasdt0(xx,sdtpldt0(xv,xv))
| ~ spl2_1
| ~ spl2_299 ),
inference(resolution,[],[f4615,f79]) ).
fof(f18823,plain,
( spl2_1441
| ~ spl2_4
| ~ spl2_140
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f5454,f4605,f1697,f92,f18820]) ).
fof(f18820,plain,
( spl2_1441
<=> sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1441])]) ).
fof(f4605,plain,
( spl2_297
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_297])]) ).
fof(f5454,plain,
( sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_140
| ~ spl2_297 ),
inference(forward_demodulation,[],[f5442,f1699]) ).
fof(f5442,plain,
( sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_297 ),
inference(resolution,[],[f4606,f94]) ).
fof(f4606,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xv)) )
| ~ spl2_297 ),
inference(avatar_component_clause,[],[f4605]) ).
fof(f18816,plain,
( spl2_1440
| ~ spl2_3
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f5441,f4605,f87,f18813]) ).
fof(f18813,plain,
( spl2_1440
<=> sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1440])]) ).
fof(f5441,plain,
( sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xu,xv))
| ~ spl2_3
| ~ spl2_297 ),
inference(resolution,[],[f4606,f89]) ).
fof(f18811,plain,
( spl2_1439
| ~ spl2_2
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f5440,f4605,f82,f18808]) ).
fof(f5440,plain,
( sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))
| ~ spl2_2
| ~ spl2_297 ),
inference(resolution,[],[f4606,f84]) ).
fof(f18806,plain,
( spl2_1438
| ~ spl2_1
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f5439,f4605,f77,f18803]) ).
fof(f5439,plain,
( sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv))
| ~ spl2_1
| ~ spl2_297 ),
inference(resolution,[],[f4606,f79]) ).
fof(f18801,plain,
( spl2_1437
| ~ spl2_4
| ~ spl2_139
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f5430,f4601,f1692,f92,f18798]) ).
fof(f18798,plain,
( spl2_1437
<=> sdtasdt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1437])]) ).
fof(f4601,plain,
( spl2_296
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_296])]) ).
fof(f5430,plain,
( sdtasdt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_296 ),
inference(forward_demodulation,[],[f5417,f1694]) ).
fof(f5417,plain,
( sdtasdt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_296 ),
inference(resolution,[],[f4602,f94]) ).
fof(f4602,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xv)) )
| ~ spl2_296 ),
inference(avatar_component_clause,[],[f4601]) ).
fof(f18796,plain,
( spl2_1436
| ~ spl2_3
| ~ spl2_138
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f5429,f4601,f1687,f87,f18793]) ).
fof(f18793,plain,
( spl2_1436
<=> sdtasdt0(xu,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1436])]) ).
fof(f5429,plain,
( sdtasdt0(xu,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xu,xv))
| ~ spl2_3
| ~ spl2_138
| ~ spl2_296 ),
inference(forward_demodulation,[],[f5416,f1689]) ).
fof(f5416,plain,
( sdtasdt0(xu,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xu,xv))
| ~ spl2_3
| ~ spl2_296 ),
inference(resolution,[],[f4602,f89]) ).
fof(f18791,plain,
( spl2_1435
| ~ spl2_2
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f5415,f4601,f82,f18788]) ).
fof(f18788,plain,
( spl2_1435
<=> sdtasdt0(xy,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1435])]) ).
fof(f5415,plain,
( sdtasdt0(xy,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xy,xv))
| ~ spl2_2
| ~ spl2_296 ),
inference(resolution,[],[f4602,f84]) ).
fof(f18786,plain,
( spl2_1434
| ~ spl2_1
| ~ spl2_296 ),
inference(avatar_split_clause,[],[f5414,f4601,f77,f18783]) ).
fof(f18783,plain,
( spl2_1434
<=> sdtasdt0(xx,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1434])]) ).
fof(f5414,plain,
( sdtasdt0(xx,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xv))
| ~ spl2_1
| ~ spl2_296 ),
inference(resolution,[],[f4602,f79]) ).
fof(f18781,plain,
( spl2_1433
| ~ spl2_4
| ~ spl2_137
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f5405,f4597,f1682,f92,f18778]) ).
fof(f18778,plain,
( spl2_1433
<=> sdtasdt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1433])]) ).
fof(f4597,plain,
( spl2_295
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_295])]) ).
fof(f5405,plain,
( sdtasdt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_295 ),
inference(forward_demodulation,[],[f5391,f1684]) ).
fof(f5391,plain,
( sdtasdt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_295 ),
inference(resolution,[],[f4598,f94]) ).
fof(f4598,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xv)) )
| ~ spl2_295 ),
inference(avatar_component_clause,[],[f4597]) ).
fof(f18776,plain,
( spl2_1432
| ~ spl2_3
| ~ spl2_136
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f5404,f4597,f1677,f87,f18773]) ).
fof(f18773,plain,
( spl2_1432
<=> sdtasdt0(xu,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1432])]) ).
fof(f5404,plain,
( sdtasdt0(xu,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xu,xv))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_295 ),
inference(forward_demodulation,[],[f5390,f1679]) ).
fof(f5390,plain,
( sdtasdt0(xu,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xu,xv))
| ~ spl2_3
| ~ spl2_295 ),
inference(resolution,[],[f4598,f89]) ).
fof(f18771,plain,
( spl2_1431
| ~ spl2_2
| ~ spl2_135
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f5403,f4597,f1672,f82,f18768]) ).
fof(f18768,plain,
( spl2_1431
<=> sdtasdt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1431])]) ).
fof(f5403,plain,
( sdtasdt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xy,xv))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_295 ),
inference(forward_demodulation,[],[f5389,f1674]) ).
fof(f5389,plain,
( sdtasdt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xy,xx),sdtasdt0(xy,xv))
| ~ spl2_2
| ~ spl2_295 ),
inference(resolution,[],[f4598,f84]) ).
fof(f18764,plain,
( spl2_1430
| ~ spl2_1
| ~ spl2_295 ),
inference(avatar_split_clause,[],[f5388,f4597,f77,f18761]) ).
fof(f18761,plain,
( spl2_1430
<=> sdtasdt0(xx,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1430])]) ).
fof(f5388,plain,
( sdtasdt0(xx,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xv))
| ~ spl2_1
| ~ spl2_295 ),
inference(resolution,[],[f4598,f79]) ).
fof(f18759,plain,
( spl2_1429
| ~ spl2_4
| ~ spl2_140
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f5379,f4593,f1697,f92,f18756]) ).
fof(f18756,plain,
( spl2_1429
<=> sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1429])]) ).
fof(f4593,plain,
( spl2_294
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_294])]) ).
fof(f5379,plain,
( sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_140
| ~ spl2_294 ),
inference(forward_demodulation,[],[f5367,f1699]) ).
fof(f5367,plain,
( sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xv,xu))
| ~ spl2_4
| ~ spl2_294 ),
inference(resolution,[],[f4594,f94]) ).
fof(f4594,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,xv)) )
| ~ spl2_294 ),
inference(avatar_component_clause,[],[f4593]) ).
fof(f18754,plain,
( spl2_1428
| ~ spl2_3
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f5366,f4593,f87,f18751]) ).
fof(f18751,plain,
( spl2_1428
<=> sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1428])]) ).
fof(f5366,plain,
( sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_294 ),
inference(resolution,[],[f4594,f89]) ).
fof(f18749,plain,
( spl2_1427
| ~ spl2_2
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f5365,f4593,f82,f18746]) ).
fof(f18746,plain,
( spl2_1427
<=> sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1427])]) ).
fof(f5365,plain,
( sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xu))
| ~ spl2_2
| ~ spl2_294 ),
inference(resolution,[],[f4594,f84]) ).
fof(f18744,plain,
( spl2_1426
| ~ spl2_1
| ~ spl2_294 ),
inference(avatar_split_clause,[],[f5364,f4593,f77,f18741]) ).
fof(f18741,plain,
( spl2_1426
<=> sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1426])]) ).
fof(f5364,plain,
( sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xu))
| ~ spl2_1
| ~ spl2_294 ),
inference(resolution,[],[f4594,f79]) ).
fof(f18737,plain,
( spl2_1425
| ~ spl2_3
| ~ spl2_299
| ~ spl2_1424 ),
inference(avatar_split_clause,[],[f18732,f18728,f4614,f87,f18734]) ).
fof(f18734,plain,
( spl2_1425
<=> sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtasdt0(xu,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1425])]) ).
fof(f18728,plain,
( spl2_1424
<=> sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1424])]) ).
fof(f18732,plain,
( sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtasdt0(xu,sdtpldt0(xv,xv))
| ~ spl2_3
| ~ spl2_299
| ~ spl2_1424 ),
inference(forward_demodulation,[],[f18730,f5465]) ).
fof(f18730,plain,
( sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xv))
| ~ spl2_1424 ),
inference(avatar_component_clause,[],[f18728]) ).
fof(f18731,plain,
( spl2_1424
| ~ spl2_4
| ~ spl2_140
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f5350,f4589,f1697,f92,f18728]) ).
fof(f4589,plain,
( spl2_293
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_293])]) ).
fof(f5350,plain,
( sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_140
| ~ spl2_293 ),
inference(forward_demodulation,[],[f5343,f1699]) ).
fof(f5343,plain,
( sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xv,xu))
| ~ spl2_4
| ~ spl2_293 ),
inference(resolution,[],[f4590,f94]) ).
fof(f4590,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xu)) )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f4589]) ).
fof(f18726,plain,
( spl2_1423
| ~ spl2_3
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f5342,f4589,f87,f18723]) ).
fof(f18723,plain,
( spl2_1423
<=> sdtasdt0(xu,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1423])]) ).
fof(f5342,plain,
( sdtasdt0(xu,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_293 ),
inference(resolution,[],[f4590,f89]) ).
fof(f18721,plain,
( spl2_1422
| ~ spl2_2
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f5341,f4589,f82,f18718]) ).
fof(f18718,plain,
( spl2_1422
<=> sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xu)) = sdtasdt0(xy,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1422])]) ).
fof(f5341,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xu)) = sdtasdt0(xy,sdtpldt0(xu,xu))
| ~ spl2_2
| ~ spl2_293 ),
inference(resolution,[],[f4590,f84]) ).
fof(f18716,plain,
( spl2_1421
| ~ spl2_4
| ~ spl2_112
| ~ spl2_1175 ),
inference(avatar_split_clause,[],[f17369,f16840,f1169,f92,f18713]) ).
fof(f18713,plain,
( spl2_1421
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,smndt0(xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1421])]) ).
fof(f1169,plain,
( spl2_112
<=> sz0z00 = sdtasdt0(xv,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_112])]) ).
fof(f16840,plain,
( spl2_1175
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xv)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1175])]) ).
fof(f17369,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,smndt0(xv)),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_1175 ),
inference(forward_demodulation,[],[f17357,f1171]) ).
fof(f1171,plain,
( sz0z00 = sdtasdt0(xv,sz0z00)
| ~ spl2_112 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f17357,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xv,smndt0(xv)),sz0z00)
| ~ spl2_4
| ~ spl2_1175 ),
inference(resolution,[],[f16841,f94]) ).
fof(f16841,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xv)),sz0z00) )
| ~ spl2_1175 ),
inference(avatar_component_clause,[],[f16840]) ).
fof(f18711,plain,
( spl2_1420
| ~ spl2_1
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f5340,f4589,f77,f18708]) ).
fof(f18708,plain,
( spl2_1420
<=> sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xu)) = sdtasdt0(xx,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1420])]) ).
fof(f5340,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xu)) = sdtasdt0(xx,sdtpldt0(xu,xu))
| ~ spl2_1
| ~ spl2_293 ),
inference(resolution,[],[f4590,f79]) ).
fof(f18706,plain,
( spl2_1419
| ~ spl2_4
| ~ spl2_139
| ~ spl2_140
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f5331,f4585,f1697,f1692,f92,f18703]) ).
fof(f18703,plain,
( spl2_1419
<=> sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1419])]) ).
fof(f4585,plain,
( spl2_292
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_292])]) ).
fof(f5331,plain,
( sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_140
| ~ spl2_292 ),
inference(forward_demodulation,[],[f5330,f1694]) ).
fof(f5330,plain,
( sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_140
| ~ spl2_292 ),
inference(forward_demodulation,[],[f5317,f1699]) ).
fof(f5317,plain,
( sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xv,xu))
| ~ spl2_4
| ~ spl2_292 ),
inference(resolution,[],[f4586,f94]) ).
fof(f4586,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xu)) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f4585]) ).
fof(f18701,plain,
( spl2_1418
| ~ spl2_3
| ~ spl2_138
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f5329,f4585,f1687,f87,f18698]) ).
fof(f18698,plain,
( spl2_1418
<=> sdtasdt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1418])]) ).
fof(f5329,plain,
( sdtasdt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_138
| ~ spl2_292 ),
inference(forward_demodulation,[],[f5316,f1689]) ).
fof(f5316,plain,
( sdtasdt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_292 ),
inference(resolution,[],[f4586,f89]) ).
fof(f18696,plain,
( spl2_1417
| ~ spl2_2
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f5315,f4585,f82,f18693]) ).
fof(f18693,plain,
( spl2_1417
<=> sdtasdt0(xy,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1417])]) ).
fof(f5315,plain,
( sdtasdt0(xy,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xy,xu))
| ~ spl2_2
| ~ spl2_292 ),
inference(resolution,[],[f4586,f84]) ).
fof(f18691,plain,
( spl2_1416
| ~ spl2_1
| ~ spl2_292 ),
inference(avatar_split_clause,[],[f5314,f4585,f77,f18688]) ).
fof(f18688,plain,
( spl2_1416
<=> sdtasdt0(xx,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1416])]) ).
fof(f5314,plain,
( sdtasdt0(xx,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xu))
| ~ spl2_1
| ~ spl2_292 ),
inference(resolution,[],[f4586,f79]) ).
fof(f18686,plain,
( spl2_1415
| ~ spl2_4
| ~ spl2_137
| ~ spl2_140
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f5305,f4581,f1697,f1682,f92,f18683]) ).
fof(f18683,plain,
( spl2_1415
<=> sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1415])]) ).
fof(f4581,plain,
( spl2_291
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_291])]) ).
fof(f5305,plain,
( sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_140
| ~ spl2_291 ),
inference(forward_demodulation,[],[f5304,f1684]) ).
fof(f5304,plain,
( sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_140
| ~ spl2_291 ),
inference(forward_demodulation,[],[f5290,f1699]) ).
fof(f5290,plain,
( sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xv,xu))
| ~ spl2_4
| ~ spl2_291 ),
inference(resolution,[],[f4582,f94]) ).
fof(f4582,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xu)) )
| ~ spl2_291 ),
inference(avatar_component_clause,[],[f4581]) ).
fof(f18681,plain,
( spl2_1414
| ~ spl2_3
| ~ spl2_136
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f5303,f4581,f1677,f87,f18678]) ).
fof(f18678,plain,
( spl2_1414
<=> sdtasdt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1414])]) ).
fof(f5303,plain,
( sdtasdt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_291 ),
inference(forward_demodulation,[],[f5289,f1679]) ).
fof(f5289,plain,
( sdtasdt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_291 ),
inference(resolution,[],[f4582,f89]) ).
fof(f18676,plain,
( spl2_1413
| ~ spl2_2
| ~ spl2_135
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f5302,f4581,f1672,f82,f18673]) ).
fof(f18673,plain,
( spl2_1413
<=> sdtasdt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1413])]) ).
fof(f5302,plain,
( sdtasdt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xy,xu))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_291 ),
inference(forward_demodulation,[],[f5288,f1674]) ).
fof(f5288,plain,
( sdtasdt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xy,xx),sdtasdt0(xy,xu))
| ~ spl2_2
| ~ spl2_291 ),
inference(resolution,[],[f4582,f84]) ).
fof(f18671,plain,
( spl2_1412
| ~ spl2_1
| ~ spl2_291 ),
inference(avatar_split_clause,[],[f5287,f4581,f77,f18668]) ).
fof(f18668,plain,
( spl2_1412
<=> sdtasdt0(xx,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1412])]) ).
fof(f5287,plain,
( sdtasdt0(xx,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xu))
| ~ spl2_1
| ~ spl2_291 ),
inference(resolution,[],[f4582,f79]) ).
fof(f18666,plain,
( spl2_1411
| ~ spl2_4
| ~ spl2_139
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f5278,f4577,f1692,f92,f18663]) ).
fof(f18663,plain,
( spl2_1411
<=> sdtasdt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1411])]) ).
fof(f4577,plain,
( spl2_290
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_290])]) ).
fof(f5278,plain,
( sdtasdt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_290 ),
inference(forward_demodulation,[],[f5265,f1694]) ).
fof(f5265,plain,
( sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xv,xy)) = sdtasdt0(xv,sdtpldt0(xy,xv))
| ~ spl2_4
| ~ spl2_290 ),
inference(resolution,[],[f4578,f94]) ).
fof(f4578,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,xv)) )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f4577]) ).
fof(f18661,plain,
( spl2_1410
| ~ spl2_3
| ~ spl2_107
| ~ spl2_1175 ),
inference(avatar_split_clause,[],[f17368,f16840,f1144,f87,f18658]) ).
fof(f18658,plain,
( spl2_1410
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,smndt0(xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1410])]) ).
fof(f1144,plain,
( spl2_107
<=> sz0z00 = sdtasdt0(xu,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_107])]) ).
fof(f17368,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,smndt0(xv)),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_1175 ),
inference(forward_demodulation,[],[f17356,f1146]) ).
fof(f1146,plain,
( sz0z00 = sdtasdt0(xu,sz0z00)
| ~ spl2_107 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f17356,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xu,smndt0(xv)),sz0z00)
| ~ spl2_3
| ~ spl2_1175 ),
inference(resolution,[],[f16841,f89]) ).
fof(f18656,plain,
( spl2_1409
| ~ spl2_3
| ~ spl2_138
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f5277,f4577,f1687,f87,f18653]) ).
fof(f18653,plain,
( spl2_1409
<=> sdtasdt0(xu,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1409])]) ).
fof(f5277,plain,
( sdtasdt0(xu,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_138
| ~ spl2_290 ),
inference(forward_demodulation,[],[f5264,f1689]) ).
fof(f5264,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xy)) = sdtasdt0(xu,sdtpldt0(xy,xv))
| ~ spl2_3
| ~ spl2_290 ),
inference(resolution,[],[f4578,f89]) ).
fof(f18651,plain,
( spl2_1408
| ~ spl2_2
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f5263,f4577,f82,f18648]) ).
fof(f18648,plain,
( spl2_1408
<=> sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xy)) = sdtasdt0(xy,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1408])]) ).
fof(f5263,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xy)) = sdtasdt0(xy,sdtpldt0(xy,xv))
| ~ spl2_2
| ~ spl2_290 ),
inference(resolution,[],[f4578,f84]) ).
fof(f18646,plain,
( spl2_1407
| ~ spl2_1
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f5262,f4577,f77,f18643]) ).
fof(f18643,plain,
( spl2_1407
<=> sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1407])]) ).
fof(f5262,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtpldt0(xy,xv))
| ~ spl2_1
| ~ spl2_290 ),
inference(resolution,[],[f4578,f79]) ).
fof(f18641,plain,
( spl2_1406
| ~ spl2_4
| ~ spl2_139
| ~ spl2_140
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f5253,f4573,f1697,f1692,f92,f18638]) ).
fof(f18638,plain,
( spl2_1406
<=> sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1406])]) ).
fof(f4573,plain,
( spl2_289
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_289])]) ).
fof(f5253,plain,
( sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_140
| ~ spl2_289 ),
inference(forward_demodulation,[],[f5252,f1699]) ).
fof(f5252,plain,
( sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_289 ),
inference(forward_demodulation,[],[f5239,f1694]) ).
fof(f5239,plain,
( sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xv,xy)) = sdtasdt0(xv,sdtpldt0(xy,xu))
| ~ spl2_4
| ~ spl2_289 ),
inference(resolution,[],[f4574,f94]) ).
fof(f4574,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,xu)) )
| ~ spl2_289 ),
inference(avatar_component_clause,[],[f4573]) ).
fof(f18636,plain,
( spl2_1405
| ~ spl2_3
| ~ spl2_138
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f5251,f4573,f1687,f87,f18633]) ).
fof(f18633,plain,
( spl2_1405
<=> sdtasdt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1405])]) ).
fof(f5251,plain,
( sdtasdt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_138
| ~ spl2_289 ),
inference(forward_demodulation,[],[f5238,f1689]) ).
fof(f5238,plain,
( sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xu,xy)) = sdtasdt0(xu,sdtpldt0(xy,xu))
| ~ spl2_3
| ~ spl2_289 ),
inference(resolution,[],[f4574,f89]) ).
fof(f18631,plain,
( spl2_1404
| ~ spl2_2
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f5237,f4573,f82,f18628]) ).
fof(f18628,plain,
( spl2_1404
<=> sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xy)) = sdtasdt0(xy,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1404])]) ).
fof(f5237,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xy)) = sdtasdt0(xy,sdtpldt0(xy,xu))
| ~ spl2_2
| ~ spl2_289 ),
inference(resolution,[],[f4574,f84]) ).
fof(f18626,plain,
( spl2_1403
| ~ spl2_1
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f5236,f4573,f77,f18623]) ).
fof(f18623,plain,
( spl2_1403
<=> sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1403])]) ).
fof(f5236,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtpldt0(xy,xu))
| ~ spl2_1
| ~ spl2_289 ),
inference(resolution,[],[f4574,f79]) ).
fof(f18619,plain,
( spl2_1402
| ~ spl2_2
| ~ spl2_299
| ~ spl2_1401 ),
inference(avatar_split_clause,[],[f18614,f18610,f4614,f82,f18616]) ).
fof(f18616,plain,
( spl2_1402
<=> sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtasdt0(xy,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1402])]) ).
fof(f18610,plain,
( spl2_1401
<=> sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1401])]) ).
fof(f18614,plain,
( sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtasdt0(xy,sdtpldt0(xv,xv))
| ~ spl2_2
| ~ spl2_299
| ~ spl2_1401 ),
inference(forward_demodulation,[],[f18612,f5464]) ).
fof(f18612,plain,
( sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xv))
| ~ spl2_1401 ),
inference(avatar_component_clause,[],[f18610]) ).
fof(f18613,plain,
( spl2_1401
| ~ spl2_4
| ~ spl2_139
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f5227,f4569,f1692,f92,f18610]) ).
fof(f4569,plain,
( spl2_288
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_288])]) ).
fof(f5227,plain,
( sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_288 ),
inference(forward_demodulation,[],[f5219,f1694]) ).
fof(f5219,plain,
( sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xv,xy))
| ~ spl2_4
| ~ spl2_288 ),
inference(resolution,[],[f4570,f94]) ).
fof(f4570,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xy)) )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f4569]) ).
fof(f18608,plain,
( spl2_1400
| ~ spl2_2
| ~ spl2_87
| ~ spl2_1175 ),
inference(avatar_split_clause,[],[f17367,f16840,f955,f82,f18605]) ).
fof(f18605,plain,
( spl2_1400
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,smndt0(xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1400])]) ).
fof(f955,plain,
( spl2_87
<=> sz0z00 = sdtasdt0(xy,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_87])]) ).
fof(f17367,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,smndt0(xv)),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_1175 ),
inference(forward_demodulation,[],[f17355,f957]) ).
fof(f957,plain,
( sz0z00 = sdtasdt0(xy,sz0z00)
| ~ spl2_87 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f17355,plain,
( sdtasdt0(xy,sz0z00) = sdtasdt0(sdtasdt0(xy,smndt0(xv)),sz0z00)
| ~ spl2_2
| ~ spl2_1175 ),
inference(resolution,[],[f16841,f84]) ).
fof(f18601,plain,
( spl2_1399
| ~ spl2_2
| ~ spl2_293
| ~ spl2_1398 ),
inference(avatar_split_clause,[],[f18596,f18592,f4589,f82,f18598]) ).
fof(f18598,plain,
( spl2_1399
<=> sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtasdt0(xy,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1399])]) ).
fof(f18592,plain,
( spl2_1398
<=> sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1398])]) ).
fof(f18596,plain,
( sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtasdt0(xy,sdtpldt0(xu,xu))
| ~ spl2_2
| ~ spl2_293
| ~ spl2_1398 ),
inference(forward_demodulation,[],[f18594,f5341]) ).
fof(f18594,plain,
( sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xu))
| ~ spl2_1398 ),
inference(avatar_component_clause,[],[f18592]) ).
fof(f18595,plain,
( spl2_1398
| ~ spl2_3
| ~ spl2_138
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f5226,f4569,f1687,f87,f18592]) ).
fof(f5226,plain,
( sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_138
| ~ spl2_288 ),
inference(forward_demodulation,[],[f5218,f1689]) ).
fof(f5218,plain,
( sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xu,xy))
| ~ spl2_3
| ~ spl2_288 ),
inference(resolution,[],[f4570,f89]) ).
fof(f18590,plain,
( spl2_1397
| ~ spl2_2
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f5217,f4569,f82,f18587]) ).
fof(f18587,plain,
( spl2_1397
<=> sdtasdt0(xy,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1397])]) ).
fof(f5217,plain,
( sdtasdt0(xy,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xy,xy))
| ~ spl2_2
| ~ spl2_288 ),
inference(resolution,[],[f4570,f84]) ).
fof(f18585,plain,
( spl2_1396
| ~ spl2_1
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f5216,f4569,f77,f18582]) ).
fof(f18582,plain,
( spl2_1396
<=> sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtpldt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1396])]) ).
fof(f5216,plain,
( sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtpldt0(xy,xy))
| ~ spl2_1
| ~ spl2_288 ),
inference(resolution,[],[f4570,f79]) ).
fof(f18580,plain,
( spl2_1395
| ~ spl2_4
| ~ spl2_137
| ~ spl2_139
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f5207,f4560,f1692,f1682,f92,f18577]) ).
fof(f18577,plain,
( spl2_1395
<=> sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1395])]) ).
fof(f4560,plain,
( spl2_286
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_286])]) ).
fof(f5207,plain,
( sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_139
| ~ spl2_286 ),
inference(forward_demodulation,[],[f5206,f1684]) ).
fof(f5206,plain,
( sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_286 ),
inference(forward_demodulation,[],[f5190,f1694]) ).
fof(f5190,plain,
( sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xv,xy))
| ~ spl2_4
| ~ spl2_286 ),
inference(resolution,[],[f4561,f94]) ).
fof(f4561,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xy)) )
| ~ spl2_286 ),
inference(avatar_component_clause,[],[f4560]) ).
fof(f18575,plain,
( spl2_1394
| ~ spl2_3
| ~ spl2_136
| ~ spl2_138
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f5205,f4560,f1687,f1677,f87,f18572]) ).
fof(f18572,plain,
( spl2_1394
<=> sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1394])]) ).
fof(f5205,plain,
( sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_138
| ~ spl2_286 ),
inference(forward_demodulation,[],[f5204,f1679]) ).
fof(f5204,plain,
( sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_138
| ~ spl2_286 ),
inference(forward_demodulation,[],[f5189,f1689]) ).
fof(f5189,plain,
( sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xu,xy))
| ~ spl2_3
| ~ spl2_286 ),
inference(resolution,[],[f4561,f89]) ).
fof(f18570,plain,
( spl2_1393
| ~ spl2_2
| ~ spl2_135
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f5203,f4560,f1672,f82,f18567]) ).
fof(f18567,plain,
( spl2_1393
<=> sdtasdt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1393])]) ).
fof(f5203,plain,
( sdtasdt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xy,xy))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_286 ),
inference(forward_demodulation,[],[f5188,f1674]) ).
fof(f5188,plain,
( sdtasdt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xy,xx),sdtasdt0(xy,xy))
| ~ spl2_2
| ~ spl2_286 ),
inference(resolution,[],[f4561,f84]) ).
fof(f18565,plain,
( spl2_1392
| ~ spl2_1
| ~ spl2_286 ),
inference(avatar_split_clause,[],[f5187,f4560,f77,f18562]) ).
fof(f18562,plain,
( spl2_1392
<=> sdtasdt0(xx,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1392])]) ).
fof(f5187,plain,
( sdtasdt0(xx,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xy))
| ~ spl2_1
| ~ spl2_286 ),
inference(resolution,[],[f4561,f79]) ).
fof(f18560,plain,
( spl2_1391
| ~ spl2_4
| ~ spl2_137
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f5178,f4556,f1682,f92,f18557]) ).
fof(f18557,plain,
( spl2_1391
<=> sdtasdt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1391])]) ).
fof(f4556,plain,
( spl2_285
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_285])]) ).
fof(f5178,plain,
( sdtasdt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_285 ),
inference(forward_demodulation,[],[f5164,f1684]) ).
fof(f5164,plain,
( sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xv,xx)) = sdtasdt0(xv,sdtpldt0(xx,xv))
| ~ spl2_4
| ~ spl2_285 ),
inference(resolution,[],[f4557,f94]) ).
fof(f4557,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xv)) )
| ~ spl2_285 ),
inference(avatar_component_clause,[],[f4556]) ).
fof(f18553,plain,
( spl2_1390
| ~ spl2_3
| ~ spl2_136
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f5177,f4556,f1677,f87,f18550]) ).
fof(f18550,plain,
( spl2_1390
<=> sdtasdt0(xu,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1390])]) ).
fof(f5177,plain,
( sdtasdt0(xu,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_285 ),
inference(forward_demodulation,[],[f5163,f1679]) ).
fof(f5163,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xx)) = sdtasdt0(xu,sdtpldt0(xx,xv))
| ~ spl2_3
| ~ spl2_285 ),
inference(resolution,[],[f4557,f89]) ).
fof(f18548,plain,
( spl2_1389
| ~ spl2_2
| ~ spl2_135
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f5176,f4556,f1672,f82,f18545]) ).
fof(f18545,plain,
( spl2_1389
<=> sdtasdt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1389])]) ).
fof(f5176,plain,
( sdtasdt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xx,xy))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_285 ),
inference(forward_demodulation,[],[f5162,f1674]) ).
fof(f5162,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xx)) = sdtasdt0(xy,sdtpldt0(xx,xv))
| ~ spl2_2
| ~ spl2_285 ),
inference(resolution,[],[f4557,f84]) ).
fof(f18543,plain,
( spl2_1388
| ~ spl2_1
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f5161,f4556,f77,f18540]) ).
fof(f18540,plain,
( spl2_1388
<=> sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1388])]) ).
fof(f5161,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xx,xv))
| ~ spl2_1
| ~ spl2_285 ),
inference(resolution,[],[f4557,f79]) ).
fof(f18538,plain,
( spl2_1387
| ~ spl2_4
| ~ spl2_137
| ~ spl2_140
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f5152,f4552,f1697,f1682,f92,f18535]) ).
fof(f18535,plain,
( spl2_1387
<=> sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1387])]) ).
fof(f4552,plain,
( spl2_284
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_284])]) ).
fof(f5152,plain,
( sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_140
| ~ spl2_284 ),
inference(forward_demodulation,[],[f5151,f1699]) ).
fof(f5151,plain,
( sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_284 ),
inference(forward_demodulation,[],[f5137,f1684]) ).
fof(f5137,plain,
( sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xv,xx)) = sdtasdt0(xv,sdtpldt0(xx,xu))
| ~ spl2_4
| ~ spl2_284 ),
inference(resolution,[],[f4553,f94]) ).
fof(f4553,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xu)) )
| ~ spl2_284 ),
inference(avatar_component_clause,[],[f4552]) ).
fof(f18533,plain,
( spl2_1386
| ~ spl2_3
| ~ spl2_136
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f5150,f4552,f1677,f87,f18530]) ).
fof(f18530,plain,
( spl2_1386
<=> sdtasdt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1386])]) ).
fof(f5150,plain,
( sdtasdt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_284 ),
inference(forward_demodulation,[],[f5136,f1679]) ).
fof(f5136,plain,
( sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xu,xx)) = sdtasdt0(xu,sdtpldt0(xx,xu))
| ~ spl2_3
| ~ spl2_284 ),
inference(resolution,[],[f4553,f89]) ).
fof(f18528,plain,
( spl2_1385
| ~ spl2_2
| ~ spl2_135
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f5149,f4552,f1672,f82,f18525]) ).
fof(f18525,plain,
( spl2_1385
<=> sdtasdt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1385])]) ).
fof(f5149,plain,
( sdtasdt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xx,xy))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_284 ),
inference(forward_demodulation,[],[f5135,f1674]) ).
fof(f5135,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xx)) = sdtasdt0(xy,sdtpldt0(xx,xu))
| ~ spl2_2
| ~ spl2_284 ),
inference(resolution,[],[f4553,f84]) ).
fof(f18523,plain,
( spl2_1384
| ~ spl2_1
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f5134,f4552,f77,f18520]) ).
fof(f18520,plain,
( spl2_1384
<=> sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1384])]) ).
fof(f5134,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xx,xu))
| ~ spl2_1
| ~ spl2_284 ),
inference(resolution,[],[f4553,f79]) ).
fof(f18518,plain,
( spl2_1383
| ~ spl2_4
| ~ spl2_137
| ~ spl2_139
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f5125,f4548,f1692,f1682,f92,f18515]) ).
fof(f18515,plain,
( spl2_1383
<=> sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1383])]) ).
fof(f4548,plain,
( spl2_283
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_283])]) ).
fof(f5125,plain,
( sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_139
| ~ spl2_283 ),
inference(forward_demodulation,[],[f5124,f1694]) ).
fof(f5124,plain,
( sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_283 ),
inference(forward_demodulation,[],[f5109,f1684]) ).
fof(f5109,plain,
( sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xv,xx)) = sdtasdt0(xv,sdtpldt0(xx,xy))
| ~ spl2_4
| ~ spl2_283 ),
inference(resolution,[],[f4549,f94]) ).
fof(f4549,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xy)) )
| ~ spl2_283 ),
inference(avatar_component_clause,[],[f4548]) ).
fof(f18513,plain,
( spl2_1382
| ~ spl2_3
| ~ spl2_136
| ~ spl2_138
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f5123,f4548,f1687,f1677,f87,f18510]) ).
fof(f18510,plain,
( spl2_1382
<=> sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1382])]) ).
fof(f5123,plain,
( sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_138
| ~ spl2_283 ),
inference(forward_demodulation,[],[f5122,f1689]) ).
fof(f5122,plain,
( sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_283 ),
inference(forward_demodulation,[],[f5108,f1679]) ).
fof(f5108,plain,
( sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xu,xx)) = sdtasdt0(xu,sdtpldt0(xx,xy))
| ~ spl2_3
| ~ spl2_283 ),
inference(resolution,[],[f4549,f89]) ).
fof(f18508,plain,
( spl2_1381
| ~ spl2_2
| ~ spl2_135
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f5121,f4548,f1672,f82,f18505]) ).
fof(f18505,plain,
( spl2_1381
<=> sdtasdt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1381])]) ).
fof(f5121,plain,
( sdtasdt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xx,xy))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_283 ),
inference(forward_demodulation,[],[f5107,f1674]) ).
fof(f5107,plain,
( sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xy,xx)) = sdtasdt0(xy,sdtpldt0(xx,xy))
| ~ spl2_2
| ~ spl2_283 ),
inference(resolution,[],[f4549,f84]) ).
fof(f18503,plain,
( spl2_1380
| ~ spl2_4
| ~ spl2_112
| ~ spl2_1174 ),
inference(avatar_split_clause,[],[f17340,f16836,f1169,f92,f18500]) ).
fof(f18500,plain,
( spl2_1380
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,smndt0(xu)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1380])]) ).
fof(f16836,plain,
( spl2_1174
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xu)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1174])]) ).
fof(f17340,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,smndt0(xu)),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_1174 ),
inference(forward_demodulation,[],[f17328,f1171]) ).
fof(f17328,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xv,smndt0(xu)),sz0z00)
| ~ spl2_4
| ~ spl2_1174 ),
inference(resolution,[],[f16837,f94]) ).
fof(f16837,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xu)),sz0z00) )
| ~ spl2_1174 ),
inference(avatar_component_clause,[],[f16836]) ).
fof(f18498,plain,
( spl2_1379
| ~ spl2_1
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f5106,f4548,f77,f18495]) ).
fof(f18495,plain,
( spl2_1379
<=> sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1379])]) ).
fof(f5106,plain,
( sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xx,xy))
| ~ spl2_1
| ~ spl2_283 ),
inference(resolution,[],[f4549,f79]) ).
fof(f18491,plain,
( spl2_1378
| ~ spl2_1
| ~ spl2_299
| ~ spl2_1377 ),
inference(avatar_split_clause,[],[f18486,f18482,f4614,f77,f18488]) ).
fof(f18488,plain,
( spl2_1378
<=> sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1378])]) ).
fof(f18482,plain,
( spl2_1377
<=> sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1377])]) ).
fof(f18486,plain,
( sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xv,xv))
| ~ spl2_1
| ~ spl2_299
| ~ spl2_1377 ),
inference(forward_demodulation,[],[f18484,f5463]) ).
fof(f18484,plain,
( sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xv))
| ~ spl2_1377 ),
inference(avatar_component_clause,[],[f18482]) ).
fof(f18485,plain,
( spl2_1377
| ~ spl2_4
| ~ spl2_137
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f5092,f4544,f1682,f92,f18482]) ).
fof(f4544,plain,
( spl2_282
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_282])]) ).
fof(f5092,plain,
( sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_282 ),
inference(forward_demodulation,[],[f5083,f1684]) ).
fof(f5083,plain,
( sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xv,xx))
| ~ spl2_4
| ~ spl2_282 ),
inference(resolution,[],[f4545,f94]) ).
fof(f4545,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xx)) )
| ~ spl2_282 ),
inference(avatar_component_clause,[],[f4544]) ).
fof(f18478,plain,
( spl2_1376
| ~ spl2_1
| ~ spl2_293
| ~ spl2_1375 ),
inference(avatar_split_clause,[],[f18473,f18469,f4589,f77,f18475]) ).
fof(f18475,plain,
( spl2_1376
<=> sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1376])]) ).
fof(f18469,plain,
( spl2_1375
<=> sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1375])]) ).
fof(f18473,plain,
( sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xu,xu))
| ~ spl2_1
| ~ spl2_293
| ~ spl2_1375 ),
inference(forward_demodulation,[],[f18471,f5340]) ).
fof(f18471,plain,
( sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xu))
| ~ spl2_1375 ),
inference(avatar_component_clause,[],[f18469]) ).
fof(f18472,plain,
( spl2_1375
| ~ spl2_3
| ~ spl2_136
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f5091,f4544,f1677,f87,f18469]) ).
fof(f5091,plain,
( sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_282 ),
inference(forward_demodulation,[],[f5082,f1679]) ).
fof(f5082,plain,
( sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xu,xx))
| ~ spl2_3
| ~ spl2_282 ),
inference(resolution,[],[f4545,f89]) ).
fof(f18465,plain,
( spl2_1374
| ~ spl2_1
| ~ spl2_288
| ~ spl2_1373 ),
inference(avatar_split_clause,[],[f18460,f18456,f4569,f77,f18462]) ).
fof(f18462,plain,
( spl2_1374
<=> sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1374])]) ).
fof(f18456,plain,
( spl2_1373
<=> sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1373])]) ).
fof(f18460,plain,
( sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xy,xy))
| ~ spl2_1
| ~ spl2_288
| ~ spl2_1373 ),
inference(forward_demodulation,[],[f18458,f5216]) ).
fof(f18458,plain,
( sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xy))
| ~ spl2_1373 ),
inference(avatar_component_clause,[],[f18456]) ).
fof(f18459,plain,
( spl2_1373
| ~ spl2_2
| ~ spl2_135
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f5090,f4544,f1672,f82,f18456]) ).
fof(f5090,plain,
( sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xy))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_282 ),
inference(forward_demodulation,[],[f5081,f1674]) ).
fof(f5081,plain,
( sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xy,xx),sdtasdt0(xy,xx))
| ~ spl2_2
| ~ spl2_282 ),
inference(resolution,[],[f4545,f84]) ).
fof(f18454,plain,
( spl2_1372
| ~ spl2_3
| ~ spl2_107
| ~ spl2_1174 ),
inference(avatar_split_clause,[],[f17339,f16836,f1144,f87,f18451]) ).
fof(f18451,plain,
( spl2_1372
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,smndt0(xu)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1372])]) ).
fof(f17339,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,smndt0(xu)),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_1174 ),
inference(forward_demodulation,[],[f17327,f1146]) ).
fof(f17327,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xu,smndt0(xu)),sz0z00)
| ~ spl2_3
| ~ spl2_1174 ),
inference(resolution,[],[f16837,f89]) ).
fof(f18449,plain,
( spl2_1371
| ~ spl2_1
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f5080,f4544,f77,f18446]) ).
fof(f18446,plain,
( spl2_1371
<=> sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1371])]) ).
fof(f5080,plain,
( sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xx))
| ~ spl2_1
| ~ spl2_282 ),
inference(resolution,[],[f4545,f79]) ).
fof(f18444,plain,
( spl2_1370
| ~ spl2_4
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f5071,f4540,f92,f18442]) ).
fof(f18442,plain,
( spl2_1370
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xv) = sdtasdt0(xv,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1370])]) ).
fof(f4540,plain,
( spl2_281
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xv) = sdtasdt0(xv,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_281])]) ).
fof(f5071,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xv) = sdtasdt0(xv,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_281 ),
inference(resolution,[],[f4541,f94]) ).
fof(f4541,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xv) = sdtasdt0(xv,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_281 ),
inference(avatar_component_clause,[],[f4540]) ).
fof(f18440,plain,
( spl2_1369
| ~ spl2_3
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f5070,f4540,f87,f18438]) ).
fof(f18438,plain,
( spl2_1369
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xv) = sdtasdt0(xv,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1369])]) ).
fof(f5070,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xv) = sdtasdt0(xv,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_281 ),
inference(resolution,[],[f4541,f89]) ).
fof(f18436,plain,
( spl2_1368
| ~ spl2_2
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f5069,f4540,f82,f18434]) ).
fof(f18434,plain,
( spl2_1368
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xv) = sdtasdt0(xv,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1368])]) ).
fof(f5069,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xv) = sdtasdt0(xv,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_281 ),
inference(resolution,[],[f4541,f84]) ).
fof(f18432,plain,
( spl2_1367
| ~ spl2_1
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f5068,f4540,f77,f18430]) ).
fof(f18430,plain,
( spl2_1367
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xv) = sdtasdt0(xv,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1367])]) ).
fof(f5068,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xv) = sdtasdt0(xv,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_281 ),
inference(resolution,[],[f4541,f79]) ).
fof(f18428,plain,
( spl2_1366
| ~ spl2_6
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f5060,f4540,f102,f18426]) ).
fof(f18426,plain,
( spl2_1366
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xv) = sdtasdt0(xv,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1366])]) ).
fof(f5060,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xv) = sdtasdt0(xv,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_281 ),
inference(resolution,[],[f4541,f104]) ).
fof(f18424,plain,
( spl2_1365
| ~ spl2_4
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f5059,f4536,f92,f18422]) ).
fof(f18422,plain,
( spl2_1365
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xv) = sdtasdt0(xv,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1365])]) ).
fof(f4536,plain,
( spl2_280
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xv) = sdtasdt0(xv,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_280])]) ).
fof(f5059,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xv) = sdtasdt0(xv,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_280 ),
inference(resolution,[],[f4537,f94]) ).
fof(f4537,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xv) = sdtasdt0(xv,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_280 ),
inference(avatar_component_clause,[],[f4536]) ).
fof(f18420,plain,
( spl2_1364
| ~ spl2_3
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f5058,f4536,f87,f18418]) ).
fof(f18418,plain,
( spl2_1364
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xv) = sdtasdt0(xv,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1364])]) ).
fof(f5058,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xv) = sdtasdt0(xv,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_280 ),
inference(resolution,[],[f4537,f89]) ).
fof(f18416,plain,
( spl2_1363
| ~ spl2_2
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f5057,f4536,f82,f18414]) ).
fof(f18414,plain,
( spl2_1363
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xv) = sdtasdt0(xv,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1363])]) ).
fof(f5057,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xv) = sdtasdt0(xv,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_280 ),
inference(resolution,[],[f4537,f84]) ).
fof(f18412,plain,
( spl2_1362
| ~ spl2_1
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f5056,f4536,f77,f18410]) ).
fof(f18410,plain,
( spl2_1362
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xv) = sdtasdt0(xv,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1362])]) ).
fof(f5056,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xv) = sdtasdt0(xv,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_280 ),
inference(resolution,[],[f4537,f79]) ).
fof(f18408,plain,
( spl2_1361
| ~ spl2_2
| ~ spl2_87
| ~ spl2_1174 ),
inference(avatar_split_clause,[],[f17338,f16836,f955,f82,f18405]) ).
fof(f18405,plain,
( spl2_1361
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,smndt0(xu)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1361])]) ).
fof(f17338,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,smndt0(xu)),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_1174 ),
inference(forward_demodulation,[],[f17326,f957]) ).
fof(f17326,plain,
( sdtasdt0(xy,sz0z00) = sdtasdt0(sdtasdt0(xy,smndt0(xu)),sz0z00)
| ~ spl2_2
| ~ spl2_1174 ),
inference(resolution,[],[f16837,f84]) ).
fof(f18403,plain,
( spl2_1360
| ~ spl2_6
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f5048,f4536,f102,f18401]) ).
fof(f18401,plain,
( spl2_1360
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xv) = sdtasdt0(xv,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1360])]) ).
fof(f5048,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xv) = sdtasdt0(xv,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_280 ),
inference(resolution,[],[f4537,f104]) ).
fof(f18399,plain,
( spl2_1359
| ~ spl2_4
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f5047,f4532,f92,f18397]) ).
fof(f18397,plain,
( spl2_1359
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xu) = sdtasdt0(xu,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1359])]) ).
fof(f4532,plain,
( spl2_279
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xu) = sdtasdt0(xu,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_279])]) ).
fof(f5047,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xu) = sdtasdt0(xu,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_279 ),
inference(resolution,[],[f4533,f94]) ).
fof(f4533,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xu) = sdtasdt0(xu,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f4532]) ).
fof(f18395,plain,
( spl2_1358
| ~ spl2_3
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f5046,f4532,f87,f18393]) ).
fof(f18393,plain,
( spl2_1358
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xu) = sdtasdt0(xu,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1358])]) ).
fof(f5046,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xu) = sdtasdt0(xu,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_279 ),
inference(resolution,[],[f4533,f89]) ).
fof(f18391,plain,
( spl2_1357
| ~ spl2_2
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f5045,f4532,f82,f18389]) ).
fof(f18389,plain,
( spl2_1357
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xu) = sdtasdt0(xu,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1357])]) ).
fof(f5045,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xu) = sdtasdt0(xu,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_279 ),
inference(resolution,[],[f4533,f84]) ).
fof(f18387,plain,
( spl2_1356
| ~ spl2_1
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f5044,f4532,f77,f18385]) ).
fof(f18385,plain,
( spl2_1356
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xu) = sdtasdt0(xu,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1356])]) ).
fof(f5044,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xu) = sdtasdt0(xu,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_279 ),
inference(resolution,[],[f4533,f79]) ).
fof(f18383,plain,
( spl2_1355
| ~ spl2_6
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f5036,f4532,f102,f18381]) ).
fof(f18381,plain,
( spl2_1355
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xu) = sdtasdt0(xu,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1355])]) ).
fof(f5036,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xu) = sdtasdt0(xu,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_279 ),
inference(resolution,[],[f4533,f104]) ).
fof(f18379,plain,
( spl2_1354
| ~ spl2_4
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f5035,f4528,f92,f18377]) ).
fof(f18377,plain,
( spl2_1354
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xu) = sdtasdt0(xu,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1354])]) ).
fof(f4528,plain,
( spl2_278
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xu) = sdtasdt0(xu,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_278])]) ).
fof(f5035,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xu) = sdtasdt0(xu,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_278 ),
inference(resolution,[],[f4529,f94]) ).
fof(f4529,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xu) = sdtasdt0(xu,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f4528]) ).
fof(f18375,plain,
( spl2_1353
| ~ spl2_3
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f5034,f4528,f87,f18373]) ).
fof(f18373,plain,
( spl2_1353
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xu) = sdtasdt0(xu,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1353])]) ).
fof(f5034,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xu) = sdtasdt0(xu,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_278 ),
inference(resolution,[],[f4529,f89]) ).
fof(f18371,plain,
( spl2_1352
| ~ spl2_2
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f5033,f4528,f82,f18369]) ).
fof(f18369,plain,
( spl2_1352
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xu) = sdtasdt0(xu,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1352])]) ).
fof(f5033,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xu) = sdtasdt0(xu,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_278 ),
inference(resolution,[],[f4529,f84]) ).
fof(f18367,plain,
( spl2_1351
| ~ spl2_1
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f5032,f4528,f77,f18365]) ).
fof(f18365,plain,
( spl2_1351
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xu) = sdtasdt0(xu,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1351])]) ).
fof(f5032,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xu) = sdtasdt0(xu,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_278 ),
inference(resolution,[],[f4529,f79]) ).
fof(f18363,plain,
( spl2_1350
| ~ spl2_4
| ~ spl2_112
| ~ spl2_1173 ),
inference(avatar_split_clause,[],[f17316,f16832,f1169,f92,f18360]) ).
fof(f18360,plain,
( spl2_1350
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,smndt0(xy)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1350])]) ).
fof(f16832,plain,
( spl2_1173
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xy)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1173])]) ).
fof(f17316,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,smndt0(xy)),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_1173 ),
inference(forward_demodulation,[],[f17304,f1171]) ).
fof(f17304,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xv,smndt0(xy)),sz0z00)
| ~ spl2_4
| ~ spl2_1173 ),
inference(resolution,[],[f16833,f94]) ).
fof(f16833,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xy)),sz0z00) )
| ~ spl2_1173 ),
inference(avatar_component_clause,[],[f16832]) ).
fof(f18358,plain,
( spl2_1349
| ~ spl2_6
| ~ spl2_278 ),
inference(avatar_split_clause,[],[f5024,f4528,f102,f18356]) ).
fof(f18356,plain,
( spl2_1349
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xu) = sdtasdt0(xu,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1349])]) ).
fof(f5024,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xu) = sdtasdt0(xu,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_278 ),
inference(resolution,[],[f4529,f104]) ).
fof(f18354,plain,
( spl2_1348
| ~ spl2_4
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f5023,f4524,f92,f18352]) ).
fof(f18352,plain,
( spl2_1348
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xy) = sdtasdt0(xy,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1348])]) ).
fof(f4524,plain,
( spl2_277
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xy) = sdtasdt0(xy,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_277])]) ).
fof(f5023,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xy) = sdtasdt0(xy,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_277 ),
inference(resolution,[],[f4525,f94]) ).
fof(f4525,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xy) = sdtasdt0(xy,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_277 ),
inference(avatar_component_clause,[],[f4524]) ).
fof(f18350,plain,
( spl2_1347
| ~ spl2_3
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f5022,f4524,f87,f18348]) ).
fof(f18348,plain,
( spl2_1347
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xy) = sdtasdt0(xy,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1347])]) ).
fof(f5022,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xy) = sdtasdt0(xy,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_277 ),
inference(resolution,[],[f4525,f89]) ).
fof(f18346,plain,
( spl2_1346
| ~ spl2_2
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f5021,f4524,f82,f18344]) ).
fof(f18344,plain,
( spl2_1346
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xy) = sdtasdt0(xy,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1346])]) ).
fof(f5021,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xy) = sdtasdt0(xy,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_277 ),
inference(resolution,[],[f4525,f84]) ).
fof(f18342,plain,
( spl2_1345
| ~ spl2_1
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f5020,f4524,f77,f18340]) ).
fof(f18340,plain,
( spl2_1345
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xy) = sdtasdt0(xy,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1345])]) ).
fof(f5020,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xy) = sdtasdt0(xy,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_277 ),
inference(resolution,[],[f4525,f79]) ).
fof(f18338,plain,
( spl2_1344
| ~ spl2_6
| ~ spl2_277 ),
inference(avatar_split_clause,[],[f5012,f4524,f102,f18336]) ).
fof(f18336,plain,
( spl2_1344
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xy) = sdtasdt0(xy,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1344])]) ).
fof(f5012,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xy) = sdtasdt0(xy,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_277 ),
inference(resolution,[],[f4525,f104]) ).
fof(f18334,plain,
( spl2_1343
| ~ spl2_4
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f5011,f4515,f92,f18332]) ).
fof(f18332,plain,
( spl2_1343
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xy) = sdtasdt0(xy,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1343])]) ).
fof(f4515,plain,
( spl2_275
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xy) = sdtasdt0(xy,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_275])]) ).
fof(f5011,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xy) = sdtasdt0(xy,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_275 ),
inference(resolution,[],[f4516,f94]) ).
fof(f4516,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xy) = sdtasdt0(xy,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f4515]) ).
fof(f18330,plain,
( spl2_1342
| ~ spl2_3
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f5010,f4515,f87,f18328]) ).
fof(f18328,plain,
( spl2_1342
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xy) = sdtasdt0(xy,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1342])]) ).
fof(f5010,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xy) = sdtasdt0(xy,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_275 ),
inference(resolution,[],[f4516,f89]) ).
fof(f18326,plain,
( spl2_1341
| ~ spl2_2
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f5009,f4515,f82,f18324]) ).
fof(f18324,plain,
( spl2_1341
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xy) = sdtasdt0(xy,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1341])]) ).
fof(f5009,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xy) = sdtasdt0(xy,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_275 ),
inference(resolution,[],[f4516,f84]) ).
fof(f18322,plain,
( spl2_1340
| ~ spl2_1
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f5008,f4515,f77,f18320]) ).
fof(f18320,plain,
( spl2_1340
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xy) = sdtasdt0(xy,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1340])]) ).
fof(f5008,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xy) = sdtasdt0(xy,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_275 ),
inference(resolution,[],[f4516,f79]) ).
fof(f18318,plain,
( spl2_1339
| ~ spl2_3
| ~ spl2_107
| ~ spl2_1173 ),
inference(avatar_split_clause,[],[f17315,f16832,f1144,f87,f18315]) ).
fof(f18315,plain,
( spl2_1339
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,smndt0(xy)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1339])]) ).
fof(f17315,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,smndt0(xy)),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_1173 ),
inference(forward_demodulation,[],[f17303,f1146]) ).
fof(f17303,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xu,smndt0(xy)),sz0z00)
| ~ spl2_3
| ~ spl2_1173 ),
inference(resolution,[],[f16833,f89]) ).
fof(f18313,plain,
( spl2_1338
| ~ spl2_6
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f5000,f4515,f102,f18311]) ).
fof(f18311,plain,
( spl2_1338
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xy) = sdtasdt0(xy,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1338])]) ).
fof(f5000,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xy) = sdtasdt0(xy,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_275 ),
inference(resolution,[],[f4516,f104]) ).
fof(f18309,plain,
( spl2_1337
| ~ spl2_4
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f4999,f4511,f92,f18307]) ).
fof(f18307,plain,
( spl2_1337
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xx) = sdtasdt0(xx,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1337])]) ).
fof(f4511,plain,
( spl2_274
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(xx,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_274])]) ).
fof(f4999,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xx) = sdtasdt0(xx,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_274 ),
inference(resolution,[],[f4512,f94]) ).
fof(f4512,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(xx,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f4511]) ).
fof(f18305,plain,
( spl2_1336
| ~ spl2_3
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f4998,f4511,f87,f18303]) ).
fof(f18303,plain,
( spl2_1336
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xx) = sdtasdt0(xx,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1336])]) ).
fof(f4998,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xx) = sdtasdt0(xx,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_274 ),
inference(resolution,[],[f4512,f89]) ).
fof(f18301,plain,
( spl2_1335
| ~ spl2_2
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f4997,f4511,f82,f18299]) ).
fof(f18299,plain,
( spl2_1335
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xx) = sdtasdt0(xx,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1335])]) ).
fof(f4997,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xx) = sdtasdt0(xx,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_274 ),
inference(resolution,[],[f4512,f84]) ).
fof(f18297,plain,
( spl2_1334
| ~ spl2_1
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f4996,f4511,f77,f18295]) ).
fof(f18295,plain,
( spl2_1334
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(xx,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1334])]) ).
fof(f4996,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(xx,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_274 ),
inference(resolution,[],[f4512,f79]) ).
fof(f18293,plain,
( spl2_1333
| ~ spl2_6
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f4988,f4511,f102,f18291]) ).
fof(f18291,plain,
( spl2_1333
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xx) = sdtasdt0(xx,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1333])]) ).
fof(f4988,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xx) = sdtasdt0(xx,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_274 ),
inference(resolution,[],[f4512,f104]) ).
fof(f18289,plain,
( spl2_1332
| ~ spl2_4
| ~ spl2_273 ),
inference(avatar_split_clause,[],[f4987,f4507,f92,f18287]) ).
fof(f18287,plain,
( spl2_1332
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xx) = sdtasdt0(xx,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1332])]) ).
fof(f4507,plain,
( spl2_273
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xx) = sdtasdt0(xx,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_273])]) ).
fof(f4987,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xx) = sdtasdt0(xx,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_273 ),
inference(resolution,[],[f4508,f94]) ).
fof(f4508,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xx) = sdtasdt0(xx,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_273 ),
inference(avatar_component_clause,[],[f4507]) ).
fof(f18285,plain,
( spl2_1331
| ~ spl2_3
| ~ spl2_273 ),
inference(avatar_split_clause,[],[f4986,f4507,f87,f18283]) ).
fof(f18283,plain,
( spl2_1331
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xx) = sdtasdt0(xx,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1331])]) ).
fof(f4986,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xx) = sdtasdt0(xx,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_273 ),
inference(resolution,[],[f4508,f89]) ).
fof(f18281,plain,
( spl2_1330
| ~ spl2_2
| ~ spl2_273 ),
inference(avatar_split_clause,[],[f4985,f4507,f82,f18279]) ).
fof(f18279,plain,
( spl2_1330
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xx) = sdtasdt0(xx,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1330])]) ).
fof(f4985,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xx) = sdtasdt0(xx,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_273 ),
inference(resolution,[],[f4508,f84]) ).
fof(f18277,plain,
( spl2_1329
| ~ spl2_1
| ~ spl2_273 ),
inference(avatar_split_clause,[],[f4984,f4507,f77,f18275]) ).
fof(f18275,plain,
( spl2_1329
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xx) = sdtasdt0(xx,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1329])]) ).
fof(f4984,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xx) = sdtasdt0(xx,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_273 ),
inference(resolution,[],[f4508,f79]) ).
fof(f18273,plain,
( spl2_1328
| ~ spl2_2
| ~ spl2_87
| ~ spl2_1173 ),
inference(avatar_split_clause,[],[f17314,f16832,f955,f82,f18270]) ).
fof(f18270,plain,
( spl2_1328
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,smndt0(xy)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1328])]) ).
fof(f17314,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,smndt0(xy)),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_1173 ),
inference(forward_demodulation,[],[f17302,f957]) ).
fof(f17302,plain,
( sdtasdt0(xy,sz0z00) = sdtasdt0(sdtasdt0(xy,smndt0(xy)),sz0z00)
| ~ spl2_2
| ~ spl2_1173 ),
inference(resolution,[],[f16833,f84]) ).
fof(f18268,plain,
( spl2_1327
| ~ spl2_6
| ~ spl2_273 ),
inference(avatar_split_clause,[],[f4976,f4507,f102,f18266]) ).
fof(f18266,plain,
( spl2_1327
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xx) = sdtasdt0(xx,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1327])]) ).
fof(f4976,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xx) = sdtasdt0(xx,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_273 ),
inference(resolution,[],[f4508,f104]) ).
fof(f18264,plain,
( spl2_1326
| ~ spl2_4
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f4975,f4503,f92,f18262]) ).
fof(f18262,plain,
( spl2_1326
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),xv) = sdtpldt0(xv,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1326])]) ).
fof(f4503,plain,
( spl2_272
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xv) = sdtpldt0(xv,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_272])]) ).
fof(f4975,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),xv) = sdtpldt0(xv,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_272 ),
inference(resolution,[],[f4504,f94]) ).
fof(f4504,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X0,X1),xv) = sdtpldt0(xv,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_272 ),
inference(avatar_component_clause,[],[f4503]) ).
fof(f18260,plain,
( spl2_1325
| ~ spl2_3
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f4974,f4503,f87,f18258]) ).
fof(f18258,plain,
( spl2_1325
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),xv) = sdtpldt0(xv,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1325])]) ).
fof(f4974,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),xv) = sdtpldt0(xv,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_272 ),
inference(resolution,[],[f4504,f89]) ).
fof(f18256,plain,
( spl2_1324
| ~ spl2_2
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f4973,f4503,f82,f18254]) ).
fof(f18254,plain,
( spl2_1324
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),xv) = sdtpldt0(xv,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1324])]) ).
fof(f4973,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),xv) = sdtpldt0(xv,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_272 ),
inference(resolution,[],[f4504,f84]) ).
fof(f18252,plain,
( spl2_1323
| ~ spl2_1
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f4972,f4503,f77,f18250]) ).
fof(f18250,plain,
( spl2_1323
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xv) = sdtpldt0(xv,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1323])]) ).
fof(f4972,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xv) = sdtpldt0(xv,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_272 ),
inference(resolution,[],[f4504,f79]) ).
fof(f18248,plain,
( spl2_1322
| ~ spl2_6
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f4964,f4503,f102,f18246]) ).
fof(f18246,plain,
( spl2_1322
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),xv) = sdtpldt0(xv,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1322])]) ).
fof(f4964,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),xv) = sdtpldt0(xv,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_272 ),
inference(resolution,[],[f4504,f104]) ).
fof(f18244,plain,
( spl2_1321
| ~ spl2_4
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f4958,f4499,f92,f18242]) ).
fof(f18242,plain,
( spl2_1321
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xv) = sdtpldt0(xv,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1321])]) ).
fof(f4499,plain,
( spl2_271
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xv) = sdtpldt0(xv,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_271])]) ).
fof(f4958,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xv) = sdtpldt0(xv,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_271 ),
inference(resolution,[],[f4500,f94]) ).
fof(f4500,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xv) = sdtpldt0(xv,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_271 ),
inference(avatar_component_clause,[],[f4499]) ).
fof(f18240,plain,
( spl2_1320
| ~ spl2_3
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f4957,f4499,f87,f18238]) ).
fof(f18238,plain,
( spl2_1320
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xv) = sdtpldt0(xv,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1320])]) ).
fof(f4957,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xv) = sdtpldt0(xv,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_271 ),
inference(resolution,[],[f4500,f89]) ).
fof(f18236,plain,
( spl2_1319
| ~ spl2_2
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f4956,f4499,f82,f18234]) ).
fof(f18234,plain,
( spl2_1319
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xv) = sdtpldt0(xv,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1319])]) ).
fof(f4956,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xv) = sdtpldt0(xv,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_271 ),
inference(resolution,[],[f4500,f84]) ).
fof(f18232,plain,
( spl2_1318
| ~ spl2_1
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f4955,f4499,f77,f18230]) ).
fof(f18230,plain,
( spl2_1318
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xv) = sdtpldt0(xv,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1318])]) ).
fof(f4955,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xv) = sdtpldt0(xv,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_271 ),
inference(resolution,[],[f4500,f79]) ).
fof(f18228,plain,
( spl2_1317
| ~ spl2_4
| ~ spl2_112
| ~ spl2_1172 ),
inference(avatar_split_clause,[],[f17292,f16828,f1169,f92,f18225]) ).
fof(f18225,plain,
( spl2_1317
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,smndt0(xx)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1317])]) ).
fof(f16828,plain,
( spl2_1172
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xx)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1172])]) ).
fof(f17292,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,smndt0(xx)),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_1172 ),
inference(forward_demodulation,[],[f17280,f1171]) ).
fof(f17280,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xv,smndt0(xx)),sz0z00)
| ~ spl2_4
| ~ spl2_1172 ),
inference(resolution,[],[f16829,f94]) ).
fof(f16829,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xx)),sz0z00) )
| ~ spl2_1172 ),
inference(avatar_component_clause,[],[f16828]) ).
fof(f18223,plain,
( spl2_1316
| ~ spl2_6
| ~ spl2_271 ),
inference(avatar_split_clause,[],[f4947,f4499,f102,f18221]) ).
fof(f18221,plain,
( spl2_1316
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xv) = sdtpldt0(xv,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1316])]) ).
fof(f4947,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xv) = sdtpldt0(xv,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_271 ),
inference(resolution,[],[f4500,f104]) ).
fof(f18219,plain,
( spl2_1315
| ~ spl2_4
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f4946,f4495,f92,f18217]) ).
fof(f18217,plain,
( spl2_1315
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),xu) = sdtpldt0(xu,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1315])]) ).
fof(f4495,plain,
( spl2_270
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xu) = sdtpldt0(xu,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_270])]) ).
fof(f4946,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),xu) = sdtpldt0(xu,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_270 ),
inference(resolution,[],[f4496,f94]) ).
fof(f4496,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X0,X1),xu) = sdtpldt0(xu,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_270 ),
inference(avatar_component_clause,[],[f4495]) ).
fof(f18215,plain,
( spl2_1314
| ~ spl2_3
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f4945,f4495,f87,f18213]) ).
fof(f18213,plain,
( spl2_1314
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),xu) = sdtpldt0(xu,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1314])]) ).
fof(f4945,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),xu) = sdtpldt0(xu,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_270 ),
inference(resolution,[],[f4496,f89]) ).
fof(f18211,plain,
( spl2_1313
| ~ spl2_2
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f4944,f4495,f82,f18209]) ).
fof(f18209,plain,
( spl2_1313
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),xu) = sdtpldt0(xu,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1313])]) ).
fof(f4944,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),xu) = sdtpldt0(xu,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_270 ),
inference(resolution,[],[f4496,f84]) ).
fof(f18207,plain,
( spl2_1312
| ~ spl2_1
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f4943,f4495,f77,f18205]) ).
fof(f18205,plain,
( spl2_1312
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xu) = sdtpldt0(xu,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1312])]) ).
fof(f4943,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xu) = sdtpldt0(xu,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_270 ),
inference(resolution,[],[f4496,f79]) ).
fof(f18203,plain,
( spl2_1311
| ~ spl2_6
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f4935,f4495,f102,f18201]) ).
fof(f18201,plain,
( spl2_1311
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),xu) = sdtpldt0(xu,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1311])]) ).
fof(f4935,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),xu) = sdtpldt0(xu,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_270 ),
inference(resolution,[],[f4496,f104]) ).
fof(f18199,plain,
( spl2_1310
| ~ spl2_4
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f4934,f4491,f92,f18197]) ).
fof(f18197,plain,
( spl2_1310
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xu) = sdtpldt0(xu,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1310])]) ).
fof(f4491,plain,
( spl2_269
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xu) = sdtpldt0(xu,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_269])]) ).
fof(f4934,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xu) = sdtpldt0(xu,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_269 ),
inference(resolution,[],[f4492,f94]) ).
fof(f4492,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xu) = sdtpldt0(xu,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_269 ),
inference(avatar_component_clause,[],[f4491]) ).
fof(f18195,plain,
( spl2_1309
| ~ spl2_3
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f4933,f4491,f87,f18193]) ).
fof(f18193,plain,
( spl2_1309
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xu) = sdtpldt0(xu,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1309])]) ).
fof(f4933,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xu) = sdtpldt0(xu,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_269 ),
inference(resolution,[],[f4492,f89]) ).
fof(f18191,plain,
( spl2_1308
| ~ spl2_2
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f4932,f4491,f82,f18189]) ).
fof(f18189,plain,
( spl2_1308
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xu) = sdtpldt0(xu,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1308])]) ).
fof(f4932,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xu) = sdtpldt0(xu,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_269 ),
inference(resolution,[],[f4492,f84]) ).
fof(f18187,plain,
( spl2_1307
| ~ spl2_1
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f4931,f4491,f77,f18185]) ).
fof(f18185,plain,
( spl2_1307
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xu) = sdtpldt0(xu,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1307])]) ).
fof(f4931,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xu) = sdtpldt0(xu,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_269 ),
inference(resolution,[],[f4492,f79]) ).
fof(f18183,plain,
( spl2_1306
| ~ spl2_3
| ~ spl2_107
| ~ spl2_1172 ),
inference(avatar_split_clause,[],[f17291,f16828,f1144,f87,f18180]) ).
fof(f18180,plain,
( spl2_1306
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,smndt0(xx)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1306])]) ).
fof(f17291,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,smndt0(xx)),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_1172 ),
inference(forward_demodulation,[],[f17279,f1146]) ).
fof(f17279,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xu,smndt0(xx)),sz0z00)
| ~ spl2_3
| ~ spl2_1172 ),
inference(resolution,[],[f16829,f89]) ).
fof(f18178,plain,
( spl2_1305
| ~ spl2_6
| ~ spl2_269 ),
inference(avatar_split_clause,[],[f4923,f4491,f102,f18176]) ).
fof(f18176,plain,
( spl2_1305
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xu) = sdtpldt0(xu,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1305])]) ).
fof(f4923,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xu) = sdtpldt0(xu,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_269 ),
inference(resolution,[],[f4492,f104]) ).
fof(f18174,plain,
( spl2_1304
| ~ spl2_4
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f4922,f4487,f92,f18172]) ).
fof(f18172,plain,
( spl2_1304
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),xy) = sdtpldt0(xy,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1304])]) ).
fof(f4487,plain,
( spl2_268
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xy) = sdtpldt0(xy,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_268])]) ).
fof(f4922,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),xy) = sdtpldt0(xy,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_268 ),
inference(resolution,[],[f4488,f94]) ).
fof(f4488,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X0,X1),xy) = sdtpldt0(xy,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_268 ),
inference(avatar_component_clause,[],[f4487]) ).
fof(f18170,plain,
( spl2_1303
| ~ spl2_3
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f4921,f4487,f87,f18168]) ).
fof(f18168,plain,
( spl2_1303
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),xy) = sdtpldt0(xy,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1303])]) ).
fof(f4921,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),xy) = sdtpldt0(xy,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_268 ),
inference(resolution,[],[f4488,f89]) ).
fof(f18166,plain,
( spl2_1302
| ~ spl2_2
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f4920,f4487,f82,f18164]) ).
fof(f18164,plain,
( spl2_1302
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),xy) = sdtpldt0(xy,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1302])]) ).
fof(f4920,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),xy) = sdtpldt0(xy,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_268 ),
inference(resolution,[],[f4488,f84]) ).
fof(f18162,plain,
( spl2_1301
| ~ spl2_1
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f4919,f4487,f77,f18160]) ).
fof(f18160,plain,
( spl2_1301
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xy) = sdtpldt0(xy,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1301])]) ).
fof(f4919,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xy) = sdtpldt0(xy,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_268 ),
inference(resolution,[],[f4488,f79]) ).
fof(f18158,plain,
( spl2_1300
| ~ spl2_6
| ~ spl2_268 ),
inference(avatar_split_clause,[],[f4911,f4487,f102,f18156]) ).
fof(f18156,plain,
( spl2_1300
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),xy) = sdtpldt0(xy,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1300])]) ).
fof(f4911,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),xy) = sdtpldt0(xy,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_268 ),
inference(resolution,[],[f4488,f104]) ).
fof(f18154,plain,
( spl2_1299
| ~ spl2_4
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f4910,f4483,f92,f18152]) ).
fof(f18152,plain,
( spl2_1299
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xy) = sdtpldt0(xy,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1299])]) ).
fof(f4483,plain,
( spl2_267
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xy) = sdtpldt0(xy,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_267])]) ).
fof(f4910,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xy) = sdtpldt0(xy,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_267 ),
inference(resolution,[],[f4484,f94]) ).
fof(f4484,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xy) = sdtpldt0(xy,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_267 ),
inference(avatar_component_clause,[],[f4483]) ).
fof(f18150,plain,
( spl2_1298
| ~ spl2_3
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f4909,f4483,f87,f18148]) ).
fof(f18148,plain,
( spl2_1298
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xy) = sdtpldt0(xy,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1298])]) ).
fof(f4909,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xy) = sdtpldt0(xy,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_267 ),
inference(resolution,[],[f4484,f89]) ).
fof(f18146,plain,
( spl2_1297
| ~ spl2_2
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f4908,f4483,f82,f18144]) ).
fof(f18144,plain,
( spl2_1297
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xy) = sdtpldt0(xy,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1297])]) ).
fof(f4908,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xy) = sdtpldt0(xy,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_267 ),
inference(resolution,[],[f4484,f84]) ).
fof(f18142,plain,
( spl2_1296
| ~ spl2_1
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f4907,f4483,f77,f18140]) ).
fof(f18140,plain,
( spl2_1296
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xy) = sdtpldt0(xy,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1296])]) ).
fof(f4907,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xy) = sdtpldt0(xy,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_267 ),
inference(resolution,[],[f4484,f79]) ).
fof(f18138,plain,
( spl2_1295
| ~ spl2_2
| ~ spl2_87
| ~ spl2_1172 ),
inference(avatar_split_clause,[],[f17290,f16828,f955,f82,f18135]) ).
fof(f18135,plain,
( spl2_1295
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,smndt0(xx)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1295])]) ).
fof(f17290,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,smndt0(xx)),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_1172 ),
inference(forward_demodulation,[],[f17278,f957]) ).
fof(f17278,plain,
( sdtasdt0(xy,sz0z00) = sdtasdt0(sdtasdt0(xy,smndt0(xx)),sz0z00)
| ~ spl2_2
| ~ spl2_1172 ),
inference(resolution,[],[f16829,f84]) ).
fof(f18133,plain,
( spl2_1294
| ~ spl2_6
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f4899,f4483,f102,f18131]) ).
fof(f18131,plain,
( spl2_1294
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xy) = sdtpldt0(xy,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1294])]) ).
fof(f4899,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xy) = sdtpldt0(xy,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_267 ),
inference(resolution,[],[f4484,f104]) ).
fof(f18129,plain,
( spl2_1293
| ~ spl2_4
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f4898,f4479,f92,f18127]) ).
fof(f18127,plain,
( spl2_1293
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),xx) = sdtpldt0(xx,sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1293])]) ).
fof(f4479,plain,
( spl2_266
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xx) = sdtpldt0(xx,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_266])]) ).
fof(f4898,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),xx) = sdtpldt0(xx,sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_266 ),
inference(resolution,[],[f4480,f94]) ).
fof(f4480,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(X0,X1),xx) = sdtpldt0(xx,sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_266 ),
inference(avatar_component_clause,[],[f4479]) ).
fof(f18125,plain,
( spl2_1292
| ~ spl2_3
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f4897,f4479,f87,f18123]) ).
fof(f18123,plain,
( spl2_1292
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),xx) = sdtpldt0(xx,sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1292])]) ).
fof(f4897,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),xx) = sdtpldt0(xx,sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_266 ),
inference(resolution,[],[f4480,f89]) ).
fof(f18121,plain,
( spl2_1291
| ~ spl2_2
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f4896,f4479,f82,f18119]) ).
fof(f18119,plain,
( spl2_1291
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),xx) = sdtpldt0(xx,sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1291])]) ).
fof(f4896,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),xx) = sdtpldt0(xx,sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_266 ),
inference(resolution,[],[f4480,f84]) ).
fof(f18117,plain,
( spl2_1290
| ~ spl2_1
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f4895,f4479,f77,f18115]) ).
fof(f18115,plain,
( spl2_1290
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xx) = sdtpldt0(xx,sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1290])]) ).
fof(f4895,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xx) = sdtpldt0(xx,sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_266 ),
inference(resolution,[],[f4480,f79]) ).
fof(f18113,plain,
( spl2_1289
| ~ spl2_6
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f4887,f4479,f102,f18111]) ).
fof(f18111,plain,
( spl2_1289
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),xx) = sdtpldt0(xx,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1289])]) ).
fof(f4887,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),xx) = sdtpldt0(xx,sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_266 ),
inference(resolution,[],[f4480,f104]) ).
fof(f18109,plain,
( spl2_1288
| ~ spl2_4
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f4886,f4470,f92,f18107]) ).
fof(f18107,plain,
( spl2_1288
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xx) = sdtpldt0(xx,sdtpldt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1288])]) ).
fof(f4470,plain,
( spl2_264
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(xx,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_264])]) ).
fof(f4886,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xx) = sdtpldt0(xx,sdtpldt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_264 ),
inference(resolution,[],[f4471,f94]) ).
fof(f4471,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(xx,sdtpldt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl2_264 ),
inference(avatar_component_clause,[],[f4470]) ).
fof(f18105,plain,
( spl2_1287
| ~ spl2_3
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f4885,f4470,f87,f18103]) ).
fof(f18103,plain,
( spl2_1287
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xx) = sdtpldt0(xx,sdtpldt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1287])]) ).
fof(f4885,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xx) = sdtpldt0(xx,sdtpldt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_264 ),
inference(resolution,[],[f4471,f89]) ).
fof(f18101,plain,
( spl2_1286
| ~ spl2_2
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f4884,f4470,f82,f18099]) ).
fof(f18099,plain,
( spl2_1286
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xx) = sdtpldt0(xx,sdtpldt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1286])]) ).
fof(f4884,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xx) = sdtpldt0(xx,sdtpldt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_264 ),
inference(resolution,[],[f4471,f84]) ).
fof(f18097,plain,
( spl2_1285
| ~ spl2_1
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f4883,f4470,f77,f18095]) ).
fof(f18095,plain,
( spl2_1285
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(xx,sdtpldt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1285])]) ).
fof(f4883,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(xx,sdtpldt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_264 ),
inference(resolution,[],[f4471,f79]) ).
fof(f18093,plain,
( spl2_1284
| ~ spl2_3
| ~ spl2_105
| ~ spl2_1171 ),
inference(avatar_split_clause,[],[f17266,f16824,f1134,f87,f18090]) ).
fof(f18090,plain,
( spl2_1284
<=> xu = sdtpldt0(sdtpldt0(xu,smndt0(xv)),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1284])]) ).
fof(f1134,plain,
( spl2_105
<=> xu = sdtpldt0(xu,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_105])]) ).
fof(f16824,plain,
( spl2_1171
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xv)),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1171])]) ).
fof(f17266,plain,
( xu = sdtpldt0(sdtpldt0(xu,smndt0(xv)),xv)
| ~ spl2_3
| ~ spl2_105
| ~ spl2_1171 ),
inference(forward_demodulation,[],[f17252,f1136]) ).
fof(f1136,plain,
( xu = sdtpldt0(xu,sz0z00)
| ~ spl2_105 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f17252,plain,
( sdtpldt0(xu,sz0z00) = sdtpldt0(sdtpldt0(xu,smndt0(xv)),xv)
| ~ spl2_3
| ~ spl2_1171 ),
inference(resolution,[],[f16825,f89]) ).
fof(f16825,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xv)),xv) )
| ~ spl2_1171 ),
inference(avatar_component_clause,[],[f16824]) ).
fof(f18088,plain,
( spl2_1283
| ~ spl2_6
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f4875,f4470,f102,f18086]) ).
fof(f18086,plain,
( spl2_1283
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xx) = sdtpldt0(xx,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1283])]) ).
fof(f4875,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xx) = sdtpldt0(xx,sdtpldt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_264 ),
inference(resolution,[],[f4471,f104]) ).
fof(f18084,plain,
( spl2_1282
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_92
| ~ spl2_115
| ~ spl2_141
| ~ spl2_247 ),
inference(avatar_split_clause,[],[f4211,f3016,f1726,f1224,f994,f514,f408,f160,f18081]) ).
fof(f18081,plain,
( spl2_1282
<=> sz0z00 = sdtasdt0(sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1282])]) ).
fof(f408,plain,
( spl2_45
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = sdtpldt0(xv,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).
fof(f994,plain,
( spl2_92
<=> aScalar0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_92])]) ).
fof(f3016,plain,
( spl2_247
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_247])]) ).
fof(f4211,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_92
| ~ spl2_115
| ~ spl2_141
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4210,f1226]) ).
fof(f4210,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4209,f1733]) ).
fof(f4209,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_45
| ~ spl2_53
| ~ spl2_92
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4208,f1534]) ).
fof(f1534,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_53
| ~ spl2_92 ),
inference(resolution,[],[f996,f515]) ).
fof(f996,plain,
( aScalar0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_92 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f4208,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_45
| ~ spl2_92
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4193,f1528]) ).
fof(f1528,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv) = sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_45
| ~ spl2_92 ),
inference(resolution,[],[f996,f409]) ).
fof(f409,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = sdtpldt0(xv,X0) )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f4193,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv),sz0z00)
| ~ spl2_92
| ~ spl2_247 ),
inference(resolution,[],[f3017,f996]) ).
fof(f3017,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl2_247 ),
inference(avatar_component_clause,[],[f3016]) ).
fof(f18079,plain,
( spl2_1281
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_92
| ~ spl2_115
| ~ spl2_141
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f4171,f3012,f1726,f1224,f994,f514,f404,f160,f18076]) ).
fof(f18076,plain,
( spl2_1281
<=> sz0z00 = sdtasdt0(sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1281])]) ).
fof(f404,plain,
( spl2_44
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = sdtpldt0(xu,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).
fof(f3012,plain,
( spl2_246
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_246])]) ).
fof(f4171,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_92
| ~ spl2_115
| ~ spl2_141
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4170,f1226]) ).
fof(f4170,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4169,f1733]) ).
fof(f4169,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_44
| ~ spl2_53
| ~ spl2_92
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4168,f1534]) ).
fof(f4168,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_44
| ~ spl2_92
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4153,f1527]) ).
fof(f1527,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu) = sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_44
| ~ spl2_92 ),
inference(resolution,[],[f996,f405]) ).
fof(f405,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = sdtpldt0(xu,X0) )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f4153,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu),sz0z00)
| ~ spl2_92
| ~ spl2_246 ),
inference(resolution,[],[f3013,f996]) ).
fof(f3013,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xu),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f3012]) ).
fof(f18074,plain,
( spl2_1280
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_92
| ~ spl2_115
| ~ spl2_141
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f4130,f3008,f1726,f1224,f994,f514,f400,f160,f18071]) ).
fof(f18071,plain,
( spl2_1280
<=> sz0z00 = sdtasdt0(sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1280])]) ).
fof(f400,plain,
( spl2_43
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = sdtpldt0(xy,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).
fof(f3008,plain,
( spl2_245
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_245])]) ).
fof(f4130,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_92
| ~ spl2_115
| ~ spl2_141
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4129,f1226]) ).
fof(f4129,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4128,f1733]) ).
fof(f4128,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_43
| ~ spl2_53
| ~ spl2_92
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4127,f1534]) ).
fof(f4127,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_43
| ~ spl2_92
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4112,f1526]) ).
fof(f1526,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy) = sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_43
| ~ spl2_92 ),
inference(resolution,[],[f996,f401]) ).
fof(f401,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = sdtpldt0(xy,X0) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f4112,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy),sz0z00)
| ~ spl2_92
| ~ spl2_245 ),
inference(resolution,[],[f3009,f996]) ).
fof(f3009,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xy),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f3008]) ).
fof(f18069,plain,
( spl2_1279
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_92
| ~ spl2_115
| ~ spl2_141
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f4088,f3004,f1726,f1224,f994,f514,f396,f160,f18066]) ).
fof(f18066,plain,
( spl2_1279
<=> sz0z00 = sdtasdt0(sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1279])]) ).
fof(f396,plain,
( spl2_42
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).
fof(f3004,plain,
( spl2_244
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_244])]) ).
fof(f4088,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_92
| ~ spl2_115
| ~ spl2_141
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4087,f1226]) ).
fof(f4087,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4086,f1525]) ).
fof(f1525,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx) = sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_42
| ~ spl2_92 ),
inference(resolution,[],[f996,f397]) ).
fof(f397,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0) )
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f4086,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4085,f1733]) ).
fof(f4085,plain,
( sdtasdt0(sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx),sz0z00) = sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_53
| ~ spl2_92
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4070,f1534]) ).
fof(f4070,plain,
( sdtasdt0(sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx),sz0z00) = sdtpldt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00),sz0z00)
| ~ spl2_92
| ~ spl2_244 ),
inference(resolution,[],[f3005,f996]) ).
fof(f3005,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl2_244 ),
inference(avatar_component_clause,[],[f3004]) ).
fof(f18064,plain,
( spl2_1278
| ~ spl2_16
| ~ spl2_50
| ~ spl2_52
| ~ spl2_125
| ~ spl2_126
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f3918,f2982,f1604,f1282,f510,f429,f152,f18061]) ).
fof(f18061,plain,
( spl2_1278
<=> sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1278])]) ).
fof(f152,plain,
( spl2_16
<=> ! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f429,plain,
( spl2_50
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = sdtasdt0(xv,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).
fof(f510,plain,
( spl2_52
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).
fof(f2982,plain,
( spl2_239
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xv) = sdtpldt0(sdtasdt0(X0,xv),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_239])]) ).
fof(f3918,plain,
( sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_16
| ~ spl2_50
| ~ spl2_52
| ~ spl2_125
| ~ spl2_126
| ~ spl2_239 ),
inference(forward_demodulation,[],[f3917,f1381]) ).
fof(f1381,plain,
( sdtasdt0(sdtpldt0(xu,xv),xv) = sdtasdt0(xv,sdtpldt0(xu,xv))
| ~ spl2_50
| ~ spl2_125 ),
inference(resolution,[],[f1283,f430]) ).
fof(f430,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = sdtasdt0(xv,X0) )
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f3917,plain,
( sdtasdt0(sdtpldt0(xu,xv),xv) = sdtpldt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_16
| ~ spl2_50
| ~ spl2_52
| ~ spl2_125
| ~ spl2_126
| ~ spl2_239 ),
inference(forward_demodulation,[],[f3916,f1660]) ).
fof(f1660,plain,
( sdtpldt0(xu,xv) = sdtpldt0(sz0z00,sdtpldt0(xu,xv))
| ~ spl2_16
| ~ spl2_126 ),
inference(resolution,[],[f1606,f153]) ).
fof(f153,plain,
( ! [X0] :
( ~ sP0(X0)
| sdtpldt0(sz0z00,X0) = X0 )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f3916,plain,
( sdtpldt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtpldt0(sz0z00,sdtpldt0(xu,xv)),xv)
| ~ spl2_50
| ~ spl2_52
| ~ spl2_125
| ~ spl2_239 ),
inference(forward_demodulation,[],[f3915,f1382]) ).
fof(f1382,plain,
( sdtpldt0(sdtpldt0(xu,xv),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(xu,xv))
| ~ spl2_52
| ~ spl2_125 ),
inference(resolution,[],[f1283,f511]) ).
fof(f511,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl2_52 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f3915,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sz0z00),xv) = sdtpldt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_50
| ~ spl2_125
| ~ spl2_239 ),
inference(forward_demodulation,[],[f3903,f1381]) ).
fof(f3903,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sz0z00),xv) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xv),sz0z00)
| ~ spl2_125
| ~ spl2_239 ),
inference(resolution,[],[f2983,f1283]) ).
fof(f2983,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sz0z00),xv) = sdtpldt0(sdtasdt0(X0,xv),sz0z00) )
| ~ spl2_239 ),
inference(avatar_component_clause,[],[f2982]) ).
fof(f18059,plain,
( spl2_1277
| ~ spl2_16
| ~ spl2_49
| ~ spl2_52
| ~ spl2_125
| ~ spl2_126
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f3882,f2978,f1604,f1282,f510,f425,f152,f18056]) ).
fof(f18056,plain,
( spl2_1277
<=> sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1277])]) ).
fof(f425,plain,
( spl2_49
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = sdtasdt0(xu,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).
fof(f2978,plain,
( spl2_238
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xu) = sdtpldt0(sdtasdt0(X0,xu),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_238])]) ).
fof(f3882,plain,
( sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_16
| ~ spl2_49
| ~ spl2_52
| ~ spl2_125
| ~ spl2_126
| ~ spl2_238 ),
inference(forward_demodulation,[],[f3881,f1380]) ).
fof(f1380,plain,
( sdtasdt0(sdtpldt0(xu,xv),xu) = sdtasdt0(xu,sdtpldt0(xu,xv))
| ~ spl2_49
| ~ spl2_125 ),
inference(resolution,[],[f1283,f426]) ).
fof(f426,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = sdtasdt0(xu,X0) )
| ~ spl2_49 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f3881,plain,
( sdtasdt0(sdtpldt0(xu,xv),xu) = sdtpldt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_16
| ~ spl2_49
| ~ spl2_52
| ~ spl2_125
| ~ spl2_126
| ~ spl2_238 ),
inference(forward_demodulation,[],[f3880,f1660]) ).
fof(f3880,plain,
( sdtpldt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtpldt0(sz0z00,sdtpldt0(xu,xv)),xu)
| ~ spl2_49
| ~ spl2_52
| ~ spl2_125
| ~ spl2_238 ),
inference(forward_demodulation,[],[f3879,f1382]) ).
fof(f3879,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sz0z00),xu) = sdtpldt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_49
| ~ spl2_125
| ~ spl2_238 ),
inference(forward_demodulation,[],[f3867,f1380]) ).
fof(f3867,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),sz0z00),xu) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xu),sz0z00)
| ~ spl2_125
| ~ spl2_238 ),
inference(resolution,[],[f2979,f1283]) ).
fof(f2979,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sz0z00),xu) = sdtpldt0(sdtasdt0(X0,xu),sz0z00) )
| ~ spl2_238 ),
inference(avatar_component_clause,[],[f2978]) ).
fof(f18054,plain,
( spl2_1276
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_235 ),
inference(avatar_split_clause,[],[f3773,f2966,f1604,f1282,f514,f429,f160,f18051]) ).
fof(f18051,plain,
( spl2_1276
<=> sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(xv,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1276])]) ).
fof(f2966,plain,
( spl2_235
<=> ! [X0] :
( sdtasdt0(X0,xv) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_235])]) ).
fof(f3773,plain,
( sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(xv,sdtpldt0(xu,xv)))
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_235 ),
inference(forward_demodulation,[],[f3772,f1662]) ).
fof(f3772,plain,
( sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(xu,xv)),sdtasdt0(xv,sdtpldt0(xu,xv)))
| ~ spl2_50
| ~ spl2_53
| ~ spl2_125
| ~ spl2_235 ),
inference(forward_demodulation,[],[f3771,f1383]) ).
fof(f3771,plain,
( sdtasdt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sdtasdt0(xv,sdtpldt0(xu,xv)))
| ~ spl2_50
| ~ spl2_125
| ~ spl2_235 ),
inference(forward_demodulation,[],[f3759,f1381]) ).
fof(f3759,plain,
( sdtasdt0(sdtpldt0(xu,xv),xv) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sdtasdt0(sdtpldt0(xu,xv),xv))
| ~ spl2_125
| ~ spl2_235 ),
inference(resolution,[],[f2967,f1283]) ).
fof(f2967,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xv)) )
| ~ spl2_235 ),
inference(avatar_component_clause,[],[f2966]) ).
fof(f18049,plain,
( spl2_1275
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f3742,f2962,f1604,f1282,f514,f425,f160,f18046]) ).
fof(f18046,plain,
( spl2_1275
<=> sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(xu,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1275])]) ).
fof(f2962,plain,
( spl2_234
<=> ! [X0] :
( sdtasdt0(X0,xu) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_234])]) ).
fof(f3742,plain,
( sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(xu,sdtpldt0(xu,xv)))
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_234 ),
inference(forward_demodulation,[],[f3741,f1662]) ).
fof(f3741,plain,
( sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(xu,xv)),sdtasdt0(xu,sdtpldt0(xu,xv)))
| ~ spl2_49
| ~ spl2_53
| ~ spl2_125
| ~ spl2_234 ),
inference(forward_demodulation,[],[f3740,f1383]) ).
fof(f3740,plain,
( sdtasdt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sdtasdt0(xu,sdtpldt0(xu,xv)))
| ~ spl2_49
| ~ spl2_125
| ~ spl2_234 ),
inference(forward_demodulation,[],[f3728,f1380]) ).
fof(f3728,plain,
( sdtasdt0(sdtpldt0(xu,xv),xu) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sdtasdt0(sdtpldt0(xu,xv),xu))
| ~ spl2_125
| ~ spl2_234 ),
inference(resolution,[],[f2963,f1283]) ).
fof(f2963,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xu)) )
| ~ spl2_234 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f18044,plain,
( spl2_1274
| ~ spl2_91
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2721,f2640,f990,f18042]) ).
fof(f18042,plain,
( spl2_1274
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1274])]) ).
fof(f990,plain,
( spl2_91
<=> aScalar0(sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_91])]) ).
fof(f2640,plain,
( spl2_193
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_193])]) ).
fof(f2721,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_91
| ~ spl2_193 ),
inference(resolution,[],[f2641,f991]) ).
fof(f991,plain,
( aScalar0(sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_91 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f2641,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ spl2_193 ),
inference(avatar_component_clause,[],[f2640]) ).
fof(f18040,plain,
( spl2_1273
| ~ spl2_2
| ~ spl2_79
| ~ spl2_1171 ),
inference(avatar_split_clause,[],[f17265,f16824,f779,f82,f18037]) ).
fof(f18037,plain,
( spl2_1273
<=> xy = sdtpldt0(sdtpldt0(xy,smndt0(xv)),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1273])]) ).
fof(f779,plain,
( spl2_79
<=> xy = sdtpldt0(xy,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_79])]) ).
fof(f17265,plain,
( xy = sdtpldt0(sdtpldt0(xy,smndt0(xv)),xv)
| ~ spl2_2
| ~ spl2_79
| ~ spl2_1171 ),
inference(forward_demodulation,[],[f17251,f781]) ).
fof(f781,plain,
( xy = sdtpldt0(xy,sz0z00)
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f17251,plain,
( sdtpldt0(xy,sz0z00) = sdtpldt0(sdtpldt0(xy,smndt0(xv)),xv)
| ~ spl2_2
| ~ spl2_1171 ),
inference(resolution,[],[f16825,f84]) ).
fof(f18035,plain,
( spl2_1272
| ~ spl2_90
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2720,f2640,f986,f18033]) ).
fof(f18033,plain,
( spl2_1272
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1272])]) ).
fof(f986,plain,
( spl2_90
<=> aScalar0(sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_90])]) ).
fof(f2720,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_90
| ~ spl2_193 ),
inference(resolution,[],[f2641,f987]) ).
fof(f987,plain,
( aScalar0(sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_90 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f18031,plain,
( spl2_1271
| ~ spl2_91
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2709,f2636,f990,f18029]) ).
fof(f18029,plain,
( spl2_1271
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1271])]) ).
fof(f2636,plain,
( spl2_192
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtpldt0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_192])]) ).
fof(f2709,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) )
| ~ spl2_91
| ~ spl2_192 ),
inference(resolution,[],[f2637,f991]) ).
fof(f2637,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,X1),sz0z00) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f2636]) ).
fof(f18027,plain,
( spl2_1270
| ~ spl2_90
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2708,f2636,f986,f18025]) ).
fof(f18025,plain,
( spl2_1270
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1270])]) ).
fof(f2708,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) )
| ~ spl2_90
| ~ spl2_192 ),
inference(resolution,[],[f2637,f987]) ).
fof(f18023,plain,
( spl2_1269
| ~ spl2_91
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2697,f2627,f990,f18021]) ).
fof(f18021,plain,
( spl2_1269
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1269])]) ).
fof(f2627,plain,
( spl2_190
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_190])]) ).
fof(f2697,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_91
| ~ spl2_190 ),
inference(resolution,[],[f2628,f991]) ).
fof(f2628,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ spl2_190 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f18019,plain,
( spl2_1268
| ~ spl2_90
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2696,f2627,f986,f18017]) ).
fof(f18017,plain,
( spl2_1268
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1268])]) ).
fof(f2696,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_90
| ~ spl2_190 ),
inference(resolution,[],[f2628,f987]) ).
fof(f18015,plain,
( spl2_1267
| ~ spl2_91
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2680,f2623,f990,f18013]) ).
fof(f18013,plain,
( spl2_1267
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1267])]) ).
fof(f2623,plain,
( spl2_189
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtasdt0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_189])]) ).
fof(f2680,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) )
| ~ spl2_91
| ~ spl2_189 ),
inference(resolution,[],[f2624,f991]) ).
fof(f2624,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,X1),sz0z00) )
| ~ spl2_189 ),
inference(avatar_component_clause,[],[f2623]) ).
fof(f18011,plain,
( spl2_1266
| ~ spl2_90
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2679,f2623,f986,f18009]) ).
fof(f18009,plain,
( spl2_1266
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1266])]) ).
fof(f2679,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) )
| ~ spl2_90
| ~ spl2_189 ),
inference(resolution,[],[f2624,f987]) ).
fof(f18007,plain,
( spl2_1265
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f2611,f2025,f1726,f994,f514,f429,f160,f18004]) ).
fof(f18004,plain,
( spl2_1265
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1265])]) ).
fof(f2025,plain,
( spl2_185
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xv),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_185])]) ).
fof(f2611,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2610,f1733]) ).
fof(f2610,plain,
( sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_50
| ~ spl2_53
| ~ spl2_92
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2609,f1534]) ).
fof(f2609,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_50
| ~ spl2_92
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2598,f1532]) ).
fof(f1532,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv) = sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_50
| ~ spl2_92 ),
inference(resolution,[],[f996,f430]) ).
fof(f2598,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv),sz0z00)
| ~ spl2_92
| ~ spl2_185 ),
inference(resolution,[],[f2026,f996]) ).
fof(f2026,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xv),sz0z00) )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f2025]) ).
fof(f18002,plain,
( spl2_1264
| ~ spl2_9
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f2601,f2025,f120,f18000]) ).
fof(f18000,plain,
( spl2_1264
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),xv),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1264])]) ).
fof(f120,plain,
( spl2_9
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f2601,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),xv),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_185 ),
inference(resolution,[],[f2026,f121]) ).
fof(f121,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f17998,plain,
( spl2_1263
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f2582,f2021,f1726,f994,f514,f425,f160,f17995]) ).
fof(f17995,plain,
( spl2_1263
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1263])]) ).
fof(f2021,plain,
( spl2_184
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xu),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_184])]) ).
fof(f2582,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2581,f1733]) ).
fof(f2581,plain,
( sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_49
| ~ spl2_53
| ~ spl2_92
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2580,f1534]) ).
fof(f2580,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_49
| ~ spl2_92
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2569,f1531]) ).
fof(f1531,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu) = sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_49
| ~ spl2_92 ),
inference(resolution,[],[f996,f426]) ).
fof(f2569,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu),sz0z00)
| ~ spl2_92
| ~ spl2_184 ),
inference(resolution,[],[f2022,f996]) ).
fof(f2022,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xu),sz0z00) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f2021]) ).
fof(f17993,plain,
( spl2_1262
| ~ spl2_1
| ~ spl2_48
| ~ spl2_1171 ),
inference(avatar_split_clause,[],[f17264,f16824,f420,f77,f17990]) ).
fof(f17990,plain,
( spl2_1262
<=> xx = sdtpldt0(sdtpldt0(xx,smndt0(xv)),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1262])]) ).
fof(f420,plain,
( spl2_48
<=> xx = sdtpldt0(xx,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_48])]) ).
fof(f17264,plain,
( xx = sdtpldt0(sdtpldt0(xx,smndt0(xv)),xv)
| ~ spl2_1
| ~ spl2_48
| ~ spl2_1171 ),
inference(forward_demodulation,[],[f17250,f422]) ).
fof(f422,plain,
( xx = sdtpldt0(xx,sz0z00)
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f17250,plain,
( sdtpldt0(xx,sz0z00) = sdtpldt0(sdtpldt0(xx,smndt0(xv)),xv)
| ~ spl2_1
| ~ spl2_1171 ),
inference(resolution,[],[f16825,f79]) ).
fof(f17988,plain,
( spl2_1261
| ~ spl2_9
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f2572,f2021,f120,f17986]) ).
fof(f17986,plain,
( spl2_1261
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),xu),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1261])]) ).
fof(f2572,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),xu),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_184 ),
inference(resolution,[],[f2022,f121]) ).
fof(f17984,plain,
( spl2_1260
| ~ spl2_18
| ~ spl2_47
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f2552,f2017,f1726,f994,f514,f416,f160,f17981]) ).
fof(f17981,plain,
( spl2_1260
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1260])]) ).
fof(f416,plain,
( spl2_47
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtasdt0(xy,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).
fof(f2017,plain,
( spl2_183
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xy),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_183])]) ).
fof(f2552,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_47
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2551,f1733]) ).
fof(f2551,plain,
( sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_47
| ~ spl2_53
| ~ spl2_92
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2550,f1534]) ).
fof(f2550,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_47
| ~ spl2_92
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2540,f1530]) ).
fof(f1530,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_47
| ~ spl2_92 ),
inference(resolution,[],[f996,f417]) ).
fof(f417,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtasdt0(xy,X0) )
| ~ spl2_47 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f2540,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy),sz0z00)
| ~ spl2_92
| ~ spl2_183 ),
inference(resolution,[],[f2018,f996]) ).
fof(f2018,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xy),sz0z00) )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f2017]) ).
fof(f17979,plain,
( spl2_1259
| ~ spl2_9
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f2543,f2017,f120,f17977]) ).
fof(f17977,plain,
( spl2_1259
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),xy),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1259])]) ).
fof(f2543,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),xy),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_183 ),
inference(resolution,[],[f2018,f121]) ).
fof(f17975,plain,
( spl2_1258
| ~ spl2_18
| ~ spl2_46
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f2522,f2013,f1726,f994,f514,f412,f160,f17972]) ).
fof(f17972,plain,
( spl2_1258
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1258])]) ).
fof(f412,plain,
( spl2_46
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(xx,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).
fof(f2013,plain,
( spl2_182
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xx),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_182])]) ).
fof(f2522,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_46
| ~ spl2_53
| ~ spl2_92
| ~ spl2_141
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2521,f1733]) ).
fof(f2521,plain,
( sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_46
| ~ spl2_53
| ~ spl2_92
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2520,f1534]) ).
fof(f2520,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_46
| ~ spl2_92
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2509,f1529]) ).
fof(f1529,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx) = sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_46
| ~ spl2_92 ),
inference(resolution,[],[f996,f413]) ).
fof(f413,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(xx,X0) )
| ~ spl2_46 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f2509,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx),sz0z00)
| ~ spl2_92
| ~ spl2_182 ),
inference(resolution,[],[f2014,f996]) ).
fof(f2014,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xx),sz0z00) )
| ~ spl2_182 ),
inference(avatar_component_clause,[],[f2013]) ).
fof(f17970,plain,
( spl2_1257
| ~ spl2_9
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f2512,f2013,f120,f17968]) ).
fof(f17968,plain,
( spl2_1257
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),xx),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1257])]) ).
fof(f2512,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),xx),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_182 ),
inference(resolution,[],[f2014,f121]) ).
fof(f17965,plain,
( spl2_1256
| ~ spl2_45
| ~ spl2_125
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f2501,f2009,f1282,f408,f17962]) ).
fof(f2009,plain,
( spl2_181
<=> ! [X0] :
( sdtpldt0(X0,xv) = sdtpldt0(sdtpldt0(X0,xv),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_181])]) ).
fof(f2501,plain,
( sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_45
| ~ spl2_125
| ~ spl2_181 ),
inference(forward_demodulation,[],[f2490,f1377]) ).
fof(f1377,plain,
( sdtpldt0(sdtpldt0(xu,xv),xv) = sdtpldt0(xv,sdtpldt0(xu,xv))
| ~ spl2_45
| ~ spl2_125 ),
inference(resolution,[],[f1283,f409]) ).
fof(f2490,plain,
( sdtpldt0(sdtpldt0(xu,xv),xv) = sdtpldt0(sdtpldt0(sdtpldt0(xu,xv),xv),sz0z00)
| ~ spl2_125
| ~ spl2_181 ),
inference(resolution,[],[f2010,f1283]) ).
fof(f2010,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = sdtpldt0(sdtpldt0(X0,xv),sz0z00) )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f17960,plain,
( spl2_1255
| ~ spl2_9
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f2495,f2009,f120,f17958]) ).
fof(f17958,plain,
( spl2_1255
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xv) = sdtpldt0(sdtpldt0(smndt0(X0),xv),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1255])]) ).
fof(f2495,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xv) = sdtpldt0(sdtpldt0(smndt0(X0),xv),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_181 ),
inference(resolution,[],[f2010,f121]) ).
fof(f17956,plain,
( spl2_1254
| ~ spl2_44
| ~ spl2_125
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f2483,f2005,f1282,f404,f17953]) ).
fof(f17953,plain,
( spl2_1254
<=> sdtpldt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xu,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1254])]) ).
fof(f2005,plain,
( spl2_180
<=> ! [X0] :
( sdtpldt0(X0,xu) = sdtpldt0(sdtpldt0(X0,xu),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_180])]) ).
fof(f2483,plain,
( sdtpldt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_44
| ~ spl2_125
| ~ spl2_180 ),
inference(forward_demodulation,[],[f2472,f1376]) ).
fof(f1376,plain,
( sdtpldt0(sdtpldt0(xu,xv),xu) = sdtpldt0(xu,sdtpldt0(xu,xv))
| ~ spl2_44
| ~ spl2_125 ),
inference(resolution,[],[f1283,f405]) ).
fof(f2472,plain,
( sdtpldt0(sdtpldt0(xu,xv),xu) = sdtpldt0(sdtpldt0(sdtpldt0(xu,xv),xu),sz0z00)
| ~ spl2_125
| ~ spl2_180 ),
inference(resolution,[],[f2006,f1283]) ).
fof(f2006,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = sdtpldt0(sdtpldt0(X0,xu),sz0z00) )
| ~ spl2_180 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f17951,plain,
( spl2_1253
| ~ spl2_9
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f2477,f2005,f120,f17949]) ).
fof(f17949,plain,
( spl2_1253
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xu) = sdtpldt0(sdtpldt0(smndt0(X0),xu),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1253])]) ).
fof(f2477,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xu) = sdtpldt0(sdtpldt0(smndt0(X0),xu),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_180 ),
inference(resolution,[],[f2006,f121]) ).
fof(f17947,plain,
( spl2_1252
| ~ spl2_43
| ~ spl2_125
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f2464,f1996,f1282,f400,f17944]) ).
fof(f17944,plain,
( spl2_1252
<=> sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xy,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1252])]) ).
fof(f1996,plain,
( spl2_178
<=> ! [X0] :
( sdtpldt0(X0,xy) = sdtpldt0(sdtpldt0(X0,xy),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_178])]) ).
fof(f2464,plain,
( sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xy,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_43
| ~ spl2_125
| ~ spl2_178 ),
inference(forward_demodulation,[],[f2453,f1375]) ).
fof(f1375,plain,
( sdtpldt0(sdtpldt0(xu,xv),xy) = sdtpldt0(xy,sdtpldt0(xu,xv))
| ~ spl2_43
| ~ spl2_125 ),
inference(resolution,[],[f1283,f401]) ).
fof(f2453,plain,
( sdtpldt0(sdtpldt0(xu,xv),xy) = sdtpldt0(sdtpldt0(sdtpldt0(xu,xv),xy),sz0z00)
| ~ spl2_125
| ~ spl2_178 ),
inference(resolution,[],[f1997,f1283]) ).
fof(f1997,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = sdtpldt0(sdtpldt0(X0,xy),sz0z00) )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f17942,plain,
( spl2_1251
| ~ spl2_4
| ~ spl2_110
| ~ spl2_1169 ),
inference(avatar_split_clause,[],[f17241,f16815,f1159,f92,f17939]) ).
fof(f17939,plain,
( spl2_1251
<=> xv = sdtpldt0(sdtpldt0(xv,smndt0(xu)),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1251])]) ).
fof(f1159,plain,
( spl2_110
<=> xv = sdtpldt0(xv,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_110])]) ).
fof(f16815,plain,
( spl2_1169
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xu)),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1169])]) ).
fof(f17241,plain,
( xv = sdtpldt0(sdtpldt0(xv,smndt0(xu)),xu)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_1169 ),
inference(forward_demodulation,[],[f17226,f1161]) ).
fof(f1161,plain,
( xv = sdtpldt0(xv,sz0z00)
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f1159]) ).
fof(f17226,plain,
( sdtpldt0(xv,sz0z00) = sdtpldt0(sdtpldt0(xv,smndt0(xu)),xu)
| ~ spl2_4
| ~ spl2_1169 ),
inference(resolution,[],[f16816,f94]) ).
fof(f16816,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xu)),xu) )
| ~ spl2_1169 ),
inference(avatar_component_clause,[],[f16815]) ).
fof(f17937,plain,
( spl2_1250
| ~ spl2_9
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f2458,f1996,f120,f17935]) ).
fof(f17935,plain,
( spl2_1250
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xy) = sdtpldt0(sdtpldt0(smndt0(X0),xy),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1250])]) ).
fof(f2458,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xy) = sdtpldt0(sdtpldt0(smndt0(X0),xy),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_178 ),
inference(resolution,[],[f1997,f121]) ).
fof(f17933,plain,
( spl2_1249
| ~ spl2_42
| ~ spl2_125
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f2444,f1992,f1282,f396,f17930]) ).
fof(f17930,plain,
( spl2_1249
<=> sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xx,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1249])]) ).
fof(f1992,plain,
( spl2_177
<=> ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,xx),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_177])]) ).
fof(f2444,plain,
( sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xx,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_42
| ~ spl2_125
| ~ spl2_177 ),
inference(forward_demodulation,[],[f2433,f1374]) ).
fof(f1374,plain,
( sdtpldt0(sdtpldt0(xu,xv),xx) = sdtpldt0(xx,sdtpldt0(xu,xv))
| ~ spl2_42
| ~ spl2_125 ),
inference(resolution,[],[f1283,f397]) ).
fof(f2433,plain,
( sdtpldt0(sdtpldt0(xu,xv),xx) = sdtpldt0(sdtpldt0(sdtpldt0(xu,xv),xx),sz0z00)
| ~ spl2_125
| ~ spl2_177 ),
inference(resolution,[],[f1993,f1283]) ).
fof(f1993,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,xx),sz0z00) )
| ~ spl2_177 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f17928,plain,
( spl2_1248
| ~ spl2_9
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f2438,f1992,f120,f17926]) ).
fof(f17926,plain,
( spl2_1248
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(sdtpldt0(smndt0(X0),xx),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1248])]) ).
fof(f2438,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(sdtpldt0(smndt0(X0),xx),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_177 ),
inference(resolution,[],[f1993,f121]) ).
fof(f17924,plain,
( spl2_1247
| ~ spl2_9
| ~ spl2_176 ),
inference(avatar_split_clause,[],[f2408,f1988,f120,f17922]) ).
fof(f17922,plain,
( spl2_1247
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),sz0z00),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1247])]) ).
fof(f1988,plain,
( spl2_176
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_176])]) ).
fof(f2408,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),sz0z00),xv)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_176 ),
inference(resolution,[],[f1989,f121]) ).
fof(f1989,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xv) )
| ~ spl2_176 ),
inference(avatar_component_clause,[],[f1988]) ).
fof(f17920,plain,
( spl2_1246
| ~ spl2_9
| ~ spl2_175 ),
inference(avatar_split_clause,[],[f2383,f1984,f120,f17918]) ).
fof(f17918,plain,
( spl2_1246
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),sz0z00),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1246])]) ).
fof(f1984,plain,
( spl2_175
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_175])]) ).
fof(f2383,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),sz0z00),xu)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_175 ),
inference(resolution,[],[f1985,f121]) ).
fof(f1985,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xu) )
| ~ spl2_175 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f17916,plain,
( spl2_1245
| ~ spl2_9
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f2358,f1980,f120,f17914]) ).
fof(f17914,plain,
( spl2_1245
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),sz0z00),xy)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1245])]) ).
fof(f1980,plain,
( spl2_174
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xy)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_174])]) ).
fof(f2358,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),sz0z00),xy)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_174 ),
inference(resolution,[],[f1981,f121]) ).
fof(f1981,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xy) )
| ~ spl2_174 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f17912,plain,
( spl2_1244
| ~ spl2_9
| ~ spl2_173 ),
inference(avatar_split_clause,[],[f2333,f1976,f120,f17910]) ).
fof(f17910,plain,
( spl2_1244
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),sz0z00),xx)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1244])]) ).
fof(f1976,plain,
( spl2_173
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xx)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_173])]) ).
fof(f2333,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sdtasdt0(smndt0(X0),sz0z00),xx)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_173 ),
inference(resolution,[],[f1977,f121]) ).
fof(f1977,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xx) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f1976]) ).
fof(f17908,plain,
( spl2_1243
| ~ spl2_9
| ~ spl2_172 ),
inference(avatar_split_clause,[],[f2317,f1972,f120,f17906]) ).
fof(f17906,plain,
( spl2_1243
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xv) = sdtpldt0(sdtpldt0(smndt0(X0),sz0z00),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1243])]) ).
fof(f1972,plain,
( spl2_172
<=> ! [X0] :
( sdtpldt0(X0,xv) = sdtpldt0(sdtpldt0(X0,sz0z00),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_172])]) ).
fof(f2317,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xv) = sdtpldt0(sdtpldt0(smndt0(X0),sz0z00),xv)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_172 ),
inference(resolution,[],[f1973,f121]) ).
fof(f1973,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = sdtpldt0(sdtpldt0(X0,sz0z00),xv) )
| ~ spl2_172 ),
inference(avatar_component_clause,[],[f1972]) ).
fof(f17904,plain,
( spl2_1242
| ~ spl2_9
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f2301,f1968,f120,f17902]) ).
fof(f17902,plain,
( spl2_1242
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xu) = sdtpldt0(sdtpldt0(smndt0(X0),sz0z00),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1242])]) ).
fof(f1968,plain,
( spl2_171
<=> ! [X0] :
( sdtpldt0(X0,xu) = sdtpldt0(sdtpldt0(X0,sz0z00),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_171])]) ).
fof(f2301,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xu) = sdtpldt0(sdtpldt0(smndt0(X0),sz0z00),xu)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_171 ),
inference(resolution,[],[f1969,f121]) ).
fof(f1969,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = sdtpldt0(sdtpldt0(X0,sz0z00),xu) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f17900,plain,
( spl2_1241
| ~ spl2_9
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f2285,f1964,f120,f17898]) ).
fof(f17898,plain,
( spl2_1241
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xy) = sdtpldt0(sdtpldt0(smndt0(X0),sz0z00),xy)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1241])]) ).
fof(f1964,plain,
( spl2_170
<=> ! [X0] :
( sdtpldt0(X0,xy) = sdtpldt0(sdtpldt0(X0,sz0z00),xy)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_170])]) ).
fof(f2285,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xy) = sdtpldt0(sdtpldt0(smndt0(X0),sz0z00),xy)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_170 ),
inference(resolution,[],[f1965,f121]) ).
fof(f1965,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = sdtpldt0(sdtpldt0(X0,sz0z00),xy) )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f17896,plain,
( spl2_1240
| ~ spl2_2
| ~ spl2_79
| ~ spl2_1169 ),
inference(avatar_split_clause,[],[f17238,f16815,f779,f82,f17893]) ).
fof(f17893,plain,
( spl2_1240
<=> xy = sdtpldt0(sdtpldt0(xy,smndt0(xu)),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1240])]) ).
fof(f17238,plain,
( xy = sdtpldt0(sdtpldt0(xy,smndt0(xu)),xu)
| ~ spl2_2
| ~ spl2_79
| ~ spl2_1169 ),
inference(forward_demodulation,[],[f17224,f781]) ).
fof(f17224,plain,
( sdtpldt0(xy,sz0z00) = sdtpldt0(sdtpldt0(xy,smndt0(xu)),xu)
| ~ spl2_2
| ~ spl2_1169 ),
inference(resolution,[],[f16816,f84]) ).
fof(f17891,plain,
( spl2_1239
| ~ spl2_9
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f2269,f1960,f120,f17889]) ).
fof(f17889,plain,
( spl2_1239
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(sdtpldt0(smndt0(X0),sz0z00),xx)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1239])]) ).
fof(f1960,plain,
( spl2_169
<=> ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,sz0z00),xx)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_169])]) ).
fof(f2269,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(sdtpldt0(smndt0(X0),sz0z00),xx)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_169 ),
inference(resolution,[],[f1961,f121]) ).
fof(f1961,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,sz0z00),xx) )
| ~ spl2_169 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f17887,plain,
( spl2_1238
| ~ spl2_9
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f2256,f1951,f120,f17885]) ).
fof(f17885,plain,
( spl2_1238
<=> ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xv)) = sdtasdt0(smndt0(xv),smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1238])]) ).
fof(f1951,plain,
( spl2_167
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xv)) = sdtasdt0(smndt0(xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_167])]) ).
fof(f2256,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xv)) = sdtasdt0(smndt0(xv),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_167 ),
inference(resolution,[],[f1952,f121]) ).
fof(f1952,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xv)) = sdtasdt0(smndt0(xv),X0) )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f17883,plain,
( spl2_1237
| ~ spl2_125
| ~ spl2_167 ),
inference(avatar_split_clause,[],[f2251,f1951,f1282,f17880]) ).
fof(f17880,plain,
( spl2_1237
<=> sdtasdt0(sdtpldt0(xu,xv),smndt0(xv)) = sdtasdt0(smndt0(xv),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1237])]) ).
fof(f2251,plain,
( sdtasdt0(sdtpldt0(xu,xv),smndt0(xv)) = sdtasdt0(smndt0(xv),sdtpldt0(xu,xv))
| ~ spl2_125
| ~ spl2_167 ),
inference(resolution,[],[f1952,f1283]) ).
fof(f17878,plain,
( spl2_1236
| ~ spl2_9
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f2243,f1947,f120,f17876]) ).
fof(f17876,plain,
( spl2_1236
<=> ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xu)) = sdtasdt0(smndt0(xu),smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1236])]) ).
fof(f1947,plain,
( spl2_166
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xu)) = sdtasdt0(smndt0(xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_166])]) ).
fof(f2243,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xu)) = sdtasdt0(smndt0(xu),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_166 ),
inference(resolution,[],[f1948,f121]) ).
fof(f1948,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xu)) = sdtasdt0(smndt0(xu),X0) )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f1947]) ).
fof(f17874,plain,
( spl2_1235
| ~ spl2_125
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f2238,f1947,f1282,f17871]) ).
fof(f17871,plain,
( spl2_1235
<=> sdtasdt0(sdtpldt0(xu,xv),smndt0(xu)) = sdtasdt0(smndt0(xu),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1235])]) ).
fof(f2238,plain,
( sdtasdt0(sdtpldt0(xu,xv),smndt0(xu)) = sdtasdt0(smndt0(xu),sdtpldt0(xu,xv))
| ~ spl2_125
| ~ spl2_166 ),
inference(resolution,[],[f1948,f1283]) ).
fof(f17869,plain,
( spl2_1234
| ~ spl2_9
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f2225,f1943,f120,f17867]) ).
fof(f17867,plain,
( spl2_1234
<=> ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xy)) = sdtasdt0(smndt0(xy),smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1234])]) ).
fof(f1943,plain,
( spl2_165
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xy)) = sdtasdt0(smndt0(xy),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_165])]) ).
fof(f2225,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xy)) = sdtasdt0(smndt0(xy),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_165 ),
inference(resolution,[],[f1944,f121]) ).
fof(f1944,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xy)) = sdtasdt0(smndt0(xy),X0) )
| ~ spl2_165 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f17865,plain,
( spl2_1233
| ~ spl2_125
| ~ spl2_165 ),
inference(avatar_split_clause,[],[f2220,f1943,f1282,f17862]) ).
fof(f17862,plain,
( spl2_1233
<=> sdtasdt0(sdtpldt0(xu,xv),smndt0(xy)) = sdtasdt0(smndt0(xy),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1233])]) ).
fof(f2220,plain,
( sdtasdt0(sdtpldt0(xu,xv),smndt0(xy)) = sdtasdt0(smndt0(xy),sdtpldt0(xu,xv))
| ~ spl2_125
| ~ spl2_165 ),
inference(resolution,[],[f1944,f1283]) ).
fof(f17860,plain,
( spl2_1232
| ~ spl2_9
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f2212,f1939,f120,f17858]) ).
fof(f17858,plain,
( spl2_1232
<=> ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xx)) = sdtasdt0(smndt0(xx),smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1232])]) ).
fof(f1939,plain,
( spl2_164
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xx)) = sdtasdt0(smndt0(xx),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_164])]) ).
fof(f2212,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xx)) = sdtasdt0(smndt0(xx),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_164 ),
inference(resolution,[],[f1940,f121]) ).
fof(f1940,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xx)) = sdtasdt0(smndt0(xx),X0) )
| ~ spl2_164 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f17856,plain,
( spl2_1231
| ~ spl2_125
| ~ spl2_164 ),
inference(avatar_split_clause,[],[f2207,f1939,f1282,f17853]) ).
fof(f17853,plain,
( spl2_1231
<=> sdtasdt0(sdtpldt0(xu,xv),smndt0(xx)) = sdtasdt0(smndt0(xx),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1231])]) ).
fof(f2207,plain,
( sdtasdt0(sdtpldt0(xu,xv),smndt0(xx)) = sdtasdt0(smndt0(xx),sdtpldt0(xu,xv))
| ~ spl2_125
| ~ spl2_164 ),
inference(resolution,[],[f1940,f1283]) ).
fof(f17851,plain,
( spl2_1230
| ~ spl2_9
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f2198,f1935,f120,f17849]) ).
fof(f17849,plain,
( spl2_1230
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xv)) = sdtpldt0(smndt0(xv),smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1230])]) ).
fof(f1935,plain,
( spl2_163
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xv)) = sdtpldt0(smndt0(xv),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_163])]) ).
fof(f2198,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xv)) = sdtpldt0(smndt0(xv),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_163 ),
inference(resolution,[],[f1936,f121]) ).
fof(f1936,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(xv)) = sdtpldt0(smndt0(xv),X0) )
| ~ spl2_163 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f17847,plain,
( spl2_1229
| ~ spl2_1
| ~ spl2_48
| ~ spl2_1169 ),
inference(avatar_split_clause,[],[f17237,f16815,f420,f77,f17844]) ).
fof(f17844,plain,
( spl2_1229
<=> xx = sdtpldt0(sdtpldt0(xx,smndt0(xu)),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1229])]) ).
fof(f17237,plain,
( xx = sdtpldt0(sdtpldt0(xx,smndt0(xu)),xu)
| ~ spl2_1
| ~ spl2_48
| ~ spl2_1169 ),
inference(forward_demodulation,[],[f17223,f422]) ).
fof(f17223,plain,
( sdtpldt0(xx,sz0z00) = sdtpldt0(sdtpldt0(xx,smndt0(xu)),xu)
| ~ spl2_1
| ~ spl2_1169 ),
inference(resolution,[],[f16816,f79]) ).
fof(f17842,plain,
( spl2_1228
| ~ spl2_125
| ~ spl2_163 ),
inference(avatar_split_clause,[],[f2193,f1935,f1282,f17839]) ).
fof(f17839,plain,
( spl2_1228
<=> sdtpldt0(sdtpldt0(xu,xv),smndt0(xv)) = sdtpldt0(smndt0(xv),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1228])]) ).
fof(f2193,plain,
( sdtpldt0(sdtpldt0(xu,xv),smndt0(xv)) = sdtpldt0(smndt0(xv),sdtpldt0(xu,xv))
| ~ spl2_125
| ~ spl2_163 ),
inference(resolution,[],[f1936,f1283]) ).
fof(f17837,plain,
( spl2_1227
| ~ spl2_9
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f2184,f1931,f120,f17835]) ).
fof(f17835,plain,
( spl2_1227
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xu)) = sdtpldt0(smndt0(xu),smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1227])]) ).
fof(f1931,plain,
( spl2_162
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xu)) = sdtpldt0(smndt0(xu),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_162])]) ).
fof(f2184,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xu)) = sdtpldt0(smndt0(xu),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_162 ),
inference(resolution,[],[f1932,f121]) ).
fof(f1932,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(xu)) = sdtpldt0(smndt0(xu),X0) )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f17833,plain,
( spl2_1226
| ~ spl2_125
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f2179,f1931,f1282,f17830]) ).
fof(f17830,plain,
( spl2_1226
<=> sdtpldt0(sdtpldt0(xu,xv),smndt0(xu)) = sdtpldt0(smndt0(xu),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1226])]) ).
fof(f2179,plain,
( sdtpldt0(sdtpldt0(xu,xv),smndt0(xu)) = sdtpldt0(smndt0(xu),sdtpldt0(xu,xv))
| ~ spl2_125
| ~ spl2_162 ),
inference(resolution,[],[f1932,f1283]) ).
fof(f17828,plain,
( spl2_1225
| ~ spl2_9
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f2170,f1927,f120,f17826]) ).
fof(f17826,plain,
( spl2_1225
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xy)) = sdtpldt0(smndt0(xy),smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1225])]) ).
fof(f1927,plain,
( spl2_161
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xy)) = sdtpldt0(smndt0(xy),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_161])]) ).
fof(f2170,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xy)) = sdtpldt0(smndt0(xy),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_161 ),
inference(resolution,[],[f1928,f121]) ).
fof(f1928,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(xy)) = sdtpldt0(smndt0(xy),X0) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f17824,plain,
( spl2_1224
| ~ spl2_125
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f2165,f1927,f1282,f17821]) ).
fof(f17821,plain,
( spl2_1224
<=> sdtpldt0(sdtpldt0(xu,xv),smndt0(xy)) = sdtpldt0(smndt0(xy),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1224])]) ).
fof(f2165,plain,
( sdtpldt0(sdtpldt0(xu,xv),smndt0(xy)) = sdtpldt0(smndt0(xy),sdtpldt0(xu,xv))
| ~ spl2_125
| ~ spl2_161 ),
inference(resolution,[],[f1928,f1283]) ).
fof(f17819,plain,
( spl2_1223
| ~ spl2_9
| ~ spl2_160 ),
inference(avatar_split_clause,[],[f2156,f1923,f120,f17817]) ).
fof(f17817,plain,
( spl2_1223
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xx)) = sdtpldt0(smndt0(xx),smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1223])]) ).
fof(f1923,plain,
( spl2_160
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xx)) = sdtpldt0(smndt0(xx),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_160])]) ).
fof(f2156,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xx)) = sdtpldt0(smndt0(xx),smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_160 ),
inference(resolution,[],[f1924,f121]) ).
fof(f1924,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(xx)) = sdtpldt0(smndt0(xx),X0) )
| ~ spl2_160 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f17815,plain,
( spl2_1222
| ~ spl2_125
| ~ spl2_160 ),
inference(avatar_split_clause,[],[f2151,f1923,f1282,f17812]) ).
fof(f17812,plain,
( spl2_1222
<=> sdtpldt0(sdtpldt0(xu,xv),smndt0(xx)) = sdtpldt0(smndt0(xx),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1222])]) ).
fof(f2151,plain,
( sdtpldt0(sdtpldt0(xu,xv),smndt0(xx)) = sdtpldt0(smndt0(xx),sdtpldt0(xu,xv))
| ~ spl2_125
| ~ spl2_160 ),
inference(resolution,[],[f1924,f1283]) ).
fof(f17810,plain,
( spl2_1221
| ~ spl2_9
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f2142,f1919,f120,f17808]) ).
fof(f17808,plain,
( spl2_1221
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xv) = sdtasdt0(xv,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1221])]) ).
fof(f1919,plain,
( spl2_159
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xv) = sdtasdt0(xv,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_159])]) ).
fof(f2142,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xv) = sdtasdt0(xv,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_159 ),
inference(resolution,[],[f1920,f121]) ).
fof(f1920,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),xv) = sdtasdt0(xv,smndt0(X0)) )
| ~ spl2_159 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f17806,plain,
( spl2_1220
| ~ spl2_125
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f2137,f1919,f1282,f17803]) ).
fof(f17803,plain,
( spl2_1220
<=> sdtasdt0(smndt0(sdtpldt0(xu,xv)),xv) = sdtasdt0(xv,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1220])]) ).
fof(f2137,plain,
( sdtasdt0(smndt0(sdtpldt0(xu,xv)),xv) = sdtasdt0(xv,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_159 ),
inference(resolution,[],[f1920,f1283]) ).
fof(f17801,plain,
( spl2_1219
| ~ spl2_9
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f2128,f1915,f120,f17799]) ).
fof(f17799,plain,
( spl2_1219
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xu) = sdtasdt0(xu,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1219])]) ).
fof(f1915,plain,
( spl2_158
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xu) = sdtasdt0(xu,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_158])]) ).
fof(f2128,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xu) = sdtasdt0(xu,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_158 ),
inference(resolution,[],[f1916,f121]) ).
fof(f1916,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),xu) = sdtasdt0(xu,smndt0(X0)) )
| ~ spl2_158 ),
inference(avatar_component_clause,[],[f1915]) ).
fof(f17797,plain,
( spl2_1218
| ~ spl2_4
| ~ spl2_110
| ~ spl2_1168 ),
inference(avatar_split_clause,[],[f17214,f16811,f1159,f92,f17794]) ).
fof(f17794,plain,
( spl2_1218
<=> xv = sdtpldt0(sdtpldt0(xv,smndt0(xy)),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1218])]) ).
fof(f16811,plain,
( spl2_1168
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xy)),xy)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1168])]) ).
fof(f17214,plain,
( xv = sdtpldt0(sdtpldt0(xv,smndt0(xy)),xy)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_1168 ),
inference(forward_demodulation,[],[f17199,f1161]) ).
fof(f17199,plain,
( sdtpldt0(xv,sz0z00) = sdtpldt0(sdtpldt0(xv,smndt0(xy)),xy)
| ~ spl2_4
| ~ spl2_1168 ),
inference(resolution,[],[f16812,f94]) ).
fof(f16812,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xy)),xy) )
| ~ spl2_1168 ),
inference(avatar_component_clause,[],[f16811]) ).
fof(f17792,plain,
( spl2_1217
| ~ spl2_125
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f2123,f1915,f1282,f17789]) ).
fof(f17789,plain,
( spl2_1217
<=> sdtasdt0(smndt0(sdtpldt0(xu,xv)),xu) = sdtasdt0(xu,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1217])]) ).
fof(f2123,plain,
( sdtasdt0(smndt0(sdtpldt0(xu,xv)),xu) = sdtasdt0(xu,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_158 ),
inference(resolution,[],[f1916,f1283]) ).
fof(f17787,plain,
( spl2_1216
| ~ spl2_9
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f2114,f1906,f120,f17785]) ).
fof(f17785,plain,
( spl2_1216
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xy) = sdtasdt0(xy,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1216])]) ).
fof(f1906,plain,
( spl2_156
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xy) = sdtasdt0(xy,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_156])]) ).
fof(f2114,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xy) = sdtasdt0(xy,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_156 ),
inference(resolution,[],[f1907,f121]) ).
fof(f1907,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),xy) = sdtasdt0(xy,smndt0(X0)) )
| ~ spl2_156 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f17783,plain,
( spl2_1215
| ~ spl2_125
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f2109,f1906,f1282,f17780]) ).
fof(f17780,plain,
( spl2_1215
<=> sdtasdt0(smndt0(sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1215])]) ).
fof(f2109,plain,
( sdtasdt0(smndt0(sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_156 ),
inference(resolution,[],[f1907,f1283]) ).
fof(f17778,plain,
( spl2_1214
| ~ spl2_9
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f2100,f1902,f120,f17776]) ).
fof(f17776,plain,
( spl2_1214
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xx) = sdtasdt0(xx,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1214])]) ).
fof(f1902,plain,
( spl2_155
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(xx,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_155])]) ).
fof(f2100,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xx) = sdtasdt0(xx,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_155 ),
inference(resolution,[],[f1903,f121]) ).
fof(f1903,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),xx) = sdtasdt0(xx,smndt0(X0)) )
| ~ spl2_155 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f17774,plain,
( spl2_1213
| ~ spl2_125
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f2095,f1902,f1282,f17771]) ).
fof(f17771,plain,
( spl2_1213
<=> sdtasdt0(smndt0(sdtpldt0(xu,xv)),xx) = sdtasdt0(xx,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1213])]) ).
fof(f2095,plain,
( sdtasdt0(smndt0(sdtpldt0(xu,xv)),xx) = sdtasdt0(xx,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_155 ),
inference(resolution,[],[f1903,f1283]) ).
fof(f17769,plain,
( spl2_1212
| ~ spl2_9
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f2080,f1898,f120,f17767]) ).
fof(f17767,plain,
( spl2_1212
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xv) = sdtpldt0(xv,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1212])]) ).
fof(f1898,plain,
( spl2_154
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xv) = sdtpldt0(xv,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_154])]) ).
fof(f2080,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xv) = sdtpldt0(xv,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_154 ),
inference(resolution,[],[f1899,f121]) ).
fof(f1899,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(smndt0(X0),xv) = sdtpldt0(xv,smndt0(X0)) )
| ~ spl2_154 ),
inference(avatar_component_clause,[],[f1898]) ).
fof(f17765,plain,
( spl2_1211
| ~ spl2_125
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f2075,f1898,f1282,f17762]) ).
fof(f17762,plain,
( spl2_1211
<=> sdtpldt0(smndt0(sdtpldt0(xu,xv)),xv) = sdtpldt0(xv,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1211])]) ).
fof(f2075,plain,
( sdtpldt0(smndt0(sdtpldt0(xu,xv)),xv) = sdtpldt0(xv,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_154 ),
inference(resolution,[],[f1899,f1283]) ).
fof(f17760,plain,
( spl2_1210
| ~ spl2_9
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f2065,f1894,f120,f17758]) ).
fof(f17758,plain,
( spl2_1210
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xu) = sdtpldt0(xu,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1210])]) ).
fof(f1894,plain,
( spl2_153
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xu) = sdtpldt0(xu,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_153])]) ).
fof(f2065,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xu) = sdtpldt0(xu,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_153 ),
inference(resolution,[],[f1895,f121]) ).
fof(f1895,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(smndt0(X0),xu) = sdtpldt0(xu,smndt0(X0)) )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f17756,plain,
( spl2_1209
| ~ spl2_125
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f2060,f1894,f1282,f17753]) ).
fof(f17753,plain,
( spl2_1209
<=> sdtpldt0(smndt0(sdtpldt0(xu,xv)),xu) = sdtpldt0(xu,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1209])]) ).
fof(f2060,plain,
( sdtpldt0(smndt0(sdtpldt0(xu,xv)),xu) = sdtpldt0(xu,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_153 ),
inference(resolution,[],[f1895,f1283]) ).
fof(f17751,plain,
( spl2_1208
| ~ spl2_9
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f2050,f1890,f120,f17749]) ).
fof(f17749,plain,
( spl2_1208
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xy) = sdtpldt0(xy,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1208])]) ).
fof(f1890,plain,
( spl2_152
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xy) = sdtpldt0(xy,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_152])]) ).
fof(f2050,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xy) = sdtpldt0(xy,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_152 ),
inference(resolution,[],[f1891,f121]) ).
fof(f1891,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(smndt0(X0),xy) = sdtpldt0(xy,smndt0(X0)) )
| ~ spl2_152 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f17747,plain,
( spl2_1207
| ~ spl2_3
| ~ spl2_105
| ~ spl2_1168 ),
inference(avatar_split_clause,[],[f17213,f16811,f1134,f87,f17744]) ).
fof(f17744,plain,
( spl2_1207
<=> xu = sdtpldt0(sdtpldt0(xu,smndt0(xy)),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1207])]) ).
fof(f17213,plain,
( xu = sdtpldt0(sdtpldt0(xu,smndt0(xy)),xy)
| ~ spl2_3
| ~ spl2_105
| ~ spl2_1168 ),
inference(forward_demodulation,[],[f17198,f1136]) ).
fof(f17198,plain,
( sdtpldt0(xu,sz0z00) = sdtpldt0(sdtpldt0(xu,smndt0(xy)),xy)
| ~ spl2_3
| ~ spl2_1168 ),
inference(resolution,[],[f16812,f89]) ).
fof(f17742,plain,
( spl2_1206
| ~ spl2_125
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f2045,f1890,f1282,f17739]) ).
fof(f17739,plain,
( spl2_1206
<=> sdtpldt0(smndt0(sdtpldt0(xu,xv)),xy) = sdtpldt0(xy,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1206])]) ).
fof(f2045,plain,
( sdtpldt0(smndt0(sdtpldt0(xu,xv)),xy) = sdtpldt0(xy,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_152 ),
inference(resolution,[],[f1891,f1283]) ).
fof(f17737,plain,
( spl2_1205
| ~ spl2_9
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f2035,f1886,f120,f17735]) ).
fof(f17735,plain,
( spl2_1205
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xx) = sdtpldt0(xx,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1205])]) ).
fof(f1886,plain,
( spl2_151
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(xx,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_151])]) ).
fof(f2035,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xx) = sdtpldt0(xx,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_151 ),
inference(resolution,[],[f1887,f121]) ).
fof(f1887,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(smndt0(X0),xx) = sdtpldt0(xx,smndt0(X0)) )
| ~ spl2_151 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f17733,plain,
( spl2_1204
| ~ spl2_125
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f2030,f1886,f1282,f17730]) ).
fof(f17730,plain,
( spl2_1204
<=> sdtpldt0(smndt0(sdtpldt0(xu,xv)),xx) = sdtpldt0(xx,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1204])]) ).
fof(f2030,plain,
( sdtpldt0(smndt0(sdtpldt0(xu,xv)),xx) = sdtpldt0(xx,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_151 ),
inference(resolution,[],[f1887,f1283]) ).
fof(f17728,plain,
( spl2_1203
| ~ spl2_19
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f1631,f1616,f164,f17725]) ).
fof(f17725,plain,
( spl2_1203
<=> sdtasdt0(xy,sdtpldt0(xu,xv)) = smndt0(smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1203])]) ).
fof(f164,plain,
( spl2_19
<=> ! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).
fof(f1616,plain,
( spl2_128
<=> sP0(sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_128])]) ).
fof(f1631,plain,
( sdtasdt0(xy,sdtpldt0(xu,xv)) = smndt0(smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_19
| ~ spl2_128 ),
inference(resolution,[],[f1618,f165]) ).
fof(f165,plain,
( ! [X0] :
( ~ sP0(X0)
| smndt0(smndt0(X0)) = X0 )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f1618,plain,
( sP0(sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f17723,plain,
( spl2_1202
| ~ spl2_16
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f1628,f1616,f152,f17720]) ).
fof(f17720,plain,
( spl2_1202
<=> sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1202])]) ).
fof(f1628,plain,
( sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_16
| ~ spl2_128 ),
inference(resolution,[],[f1618,f153]) ).
fof(f17718,plain,
( spl2_1201
| ~ spl2_15
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f1627,f1616,f148,f17715]) ).
fof(f17715,plain,
( spl2_1201
<=> sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1201])]) ).
fof(f148,plain,
( spl2_15
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f1627,plain,
( sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_15
| ~ spl2_128 ),
inference(resolution,[],[f1618,f149]) ).
fof(f149,plain,
( ! [X0] :
( ~ sP0(X0)
| sdtpldt0(X0,sz0z00) = X0 )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f17713,plain,
( spl2_1200
| ~ spl2_19
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f1624,f1611,f164,f17710]) ).
fof(f17710,plain,
( spl2_1200
<=> sdtasdt0(xx,sdtpldt0(xu,xv)) = smndt0(smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1200])]) ).
fof(f1611,plain,
( spl2_127
<=> sP0(sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_127])]) ).
fof(f1624,plain,
( sdtasdt0(xx,sdtpldt0(xu,xv)) = smndt0(smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_19
| ~ spl2_127 ),
inference(resolution,[],[f1613,f165]) ).
fof(f1613,plain,
( sP0(sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f17708,plain,
( spl2_1199
| ~ spl2_16
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f1621,f1611,f152,f17705]) ).
fof(f17705,plain,
( spl2_1199
<=> sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1199])]) ).
fof(f1621,plain,
( sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_16
| ~ spl2_127 ),
inference(resolution,[],[f1613,f153]) ).
fof(f17703,plain,
( spl2_1198
| ~ spl2_15
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f1620,f1611,f148,f17700]) ).
fof(f17700,plain,
( spl2_1198
<=> sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1198])]) ).
fof(f1620,plain,
( sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_15
| ~ spl2_127 ),
inference(resolution,[],[f1613,f149]) ).
fof(f17698,plain,
( spl2_1197
| ~ spl2_32
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1369,f1282,f252,f17696]) ).
fof(f17696,plain,
( spl2_1197
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xu,xv)) = sdtasdt0(sdtpldt0(xu,xv),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1197])]) ).
fof(f252,plain,
( spl2_32
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).
fof(f1369,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xu,xv)) = sdtasdt0(sdtpldt0(xu,xv),X0) )
| ~ spl2_32
| ~ spl2_125 ),
inference(resolution,[],[f1283,f253]) ).
fof(f253,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f17694,plain,
( spl2_1196
| ~ spl2_1
| ~ spl2_48
| ~ spl2_1168 ),
inference(avatar_split_clause,[],[f17210,f16811,f420,f77,f17691]) ).
fof(f17691,plain,
( spl2_1196
<=> xx = sdtpldt0(sdtpldt0(xx,smndt0(xy)),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1196])]) ).
fof(f17210,plain,
( xx = sdtpldt0(sdtpldt0(xx,smndt0(xy)),xy)
| ~ spl2_1
| ~ spl2_48
| ~ spl2_1168 ),
inference(forward_demodulation,[],[f17196,f422]) ).
fof(f17196,plain,
( sdtpldt0(xx,sz0z00) = sdtpldt0(sdtpldt0(xx,smndt0(xy)),xy)
| ~ spl2_1
| ~ spl2_1168 ),
inference(resolution,[],[f16812,f79]) ).
fof(f17689,plain,
( spl2_1195
| ~ spl2_30
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1368,f1282,f216,f17687]) ).
fof(f17687,plain,
( spl2_1195
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xu,xv),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1195])]) ).
fof(f216,plain,
( spl2_30
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).
fof(f1368,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xu,xv),X0) )
| ~ spl2_30
| ~ spl2_125 ),
inference(resolution,[],[f1283,f217]) ).
fof(f217,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f17506,plain,
( spl2_1194
| ~ spl2_4
| ~ spl2_110
| ~ spl2_1167 ),
inference(avatar_split_clause,[],[f17187,f16807,f1159,f92,f17503]) ).
fof(f17503,plain,
( spl2_1194
<=> xv = sdtpldt0(sdtpldt0(xv,smndt0(xx)),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1194])]) ).
fof(f16807,plain,
( spl2_1167
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),xx)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1167])]) ).
fof(f17187,plain,
( xv = sdtpldt0(sdtpldt0(xv,smndt0(xx)),xx)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_1167 ),
inference(forward_demodulation,[],[f17172,f1161]) ).
fof(f17172,plain,
( sdtpldt0(xv,sz0z00) = sdtpldt0(sdtpldt0(xv,smndt0(xx)),xx)
| ~ spl2_4
| ~ spl2_1167 ),
inference(resolution,[],[f16808,f94]) ).
fof(f16808,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),xx) )
| ~ spl2_1167 ),
inference(avatar_component_clause,[],[f16807]) ).
fof(f17430,plain,
( spl2_1193
| ~ spl2_6
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f4457,f4418,f102,f17428]) ).
fof(f17428,plain,
( spl2_1193
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,sz0z00)),sdtpldt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1193])]) ).
fof(f4418,plain,
( spl2_263
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_263])]) ).
fof(f4457,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,sz0z00)),sdtpldt0(X0,sz0z00)) )
| ~ spl2_6
| ~ spl2_263 ),
inference(resolution,[],[f4419,f104]) ).
fof(f4419,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) )
| ~ spl2_263 ),
inference(avatar_component_clause,[],[f4418]) ).
fof(f17426,plain,
( spl2_1192
| ~ spl2_6
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f4445,f4414,f102,f17424]) ).
fof(f17424,plain,
( spl2_1192
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,sz0z00),smndt0(sdtpldt0(X0,sz0z00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1192])]) ).
fof(f4414,plain,
( spl2_262
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_262])]) ).
fof(f4445,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,sz0z00),smndt0(sdtpldt0(X0,sz0z00))) )
| ~ spl2_6
| ~ spl2_262 ),
inference(resolution,[],[f4415,f104]) ).
fof(f4415,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) )
| ~ spl2_262 ),
inference(avatar_component_clause,[],[f4414]) ).
fof(f17422,plain,
( spl2_1191
| ~ spl2_6
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f4433,f4410,f102,f17420]) ).
fof(f17420,plain,
( spl2_1191
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,sz0z00)),sdtasdt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1191])]) ).
fof(f4410,plain,
( spl2_261
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_261])]) ).
fof(f4433,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,sz0z00)),sdtasdt0(X0,sz0z00)) )
| ~ spl2_6
| ~ spl2_261 ),
inference(resolution,[],[f4411,f104]) ).
fof(f4411,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) )
| ~ spl2_261 ),
inference(avatar_component_clause,[],[f4410]) ).
fof(f17418,plain,
( spl2_1190
| ~ spl2_6
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f4421,f4406,f102,f17416]) ).
fof(f17416,plain,
( spl2_1190
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,sz0z00),smndt0(sdtasdt0(X0,sz0z00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1190])]) ).
fof(f4406,plain,
( spl2_260
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_260])]) ).
fof(f4421,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,sz0z00),smndt0(sdtasdt0(X0,sz0z00))) )
| ~ spl2_6
| ~ spl2_260 ),
inference(resolution,[],[f4407,f104]) ).
fof(f4407,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) )
| ~ spl2_260 ),
inference(avatar_component_clause,[],[f4406]) ).
fof(f17414,plain,
( spl2_1189
| ~ spl2_9
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2722,f2640,f120,f17412]) ).
fof(f17412,plain,
( spl2_1189
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,smndt0(X1)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1189])]) ).
fof(f2722,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,smndt0(X1)))
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_193 ),
inference(resolution,[],[f2641,f121]) ).
fof(f17410,plain,
( spl2_1188
| ~ spl2_3
| ~ spl2_105
| ~ spl2_1167 ),
inference(avatar_split_clause,[],[f17186,f16807,f1134,f87,f17407]) ).
fof(f17407,plain,
( spl2_1188
<=> xu = sdtpldt0(sdtpldt0(xu,smndt0(xx)),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1188])]) ).
fof(f17186,plain,
( xu = sdtpldt0(sdtpldt0(xu,smndt0(xx)),xx)
| ~ spl2_3
| ~ spl2_105
| ~ spl2_1167 ),
inference(forward_demodulation,[],[f17171,f1136]) ).
fof(f17171,plain,
( sdtpldt0(xu,sz0z00) = sdtpldt0(sdtpldt0(xu,smndt0(xx)),xx)
| ~ spl2_3
| ~ spl2_1167 ),
inference(resolution,[],[f16808,f89]) ).
fof(f17405,plain,
( spl2_1187
| ~ spl2_9
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2710,f2636,f120,f17403]) ).
fof(f17403,plain,
( spl2_1187
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz0z00)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1187])]) ).
fof(f2710,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz0z00)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_192 ),
inference(resolution,[],[f2637,f121]) ).
fof(f17401,plain,
( spl2_1186
| ~ spl2_9
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2698,f2627,f120,f17399]) ).
fof(f17399,plain,
( spl2_1186
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1186])]) ).
fof(f2698,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_190 ),
inference(resolution,[],[f2628,f121]) ).
fof(f17397,plain,
( spl2_1185
| ~ spl2_9
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2681,f2623,f120,f17395]) ).
fof(f17395,plain,
( spl2_1185
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz0z00)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1185])]) ).
fof(f2681,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz0z00)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_189 ),
inference(resolution,[],[f2624,f121]) ).
fof(f17393,plain,
( spl2_1184
| ~ spl2_9
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f1870,f1838,f120,f17391]) ).
fof(f17391,plain,
( spl2_1184
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1184])]) ).
fof(f1838,plain,
( spl2_150
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_150])]) ).
fof(f1870,plain,
( ! [X0] :
( sz0z00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_150 ),
inference(resolution,[],[f1839,f121]) ).
fof(f1839,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) )
| ~ spl2_150 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f17389,plain,
( spl2_1183
| ~ spl2_9
| ~ spl2_149 ),
inference(avatar_split_clause,[],[f1848,f1834,f120,f17387]) ).
fof(f17387,plain,
( spl2_1183
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1183])]) ).
fof(f1834,plain,
( spl2_149
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_149])]) ).
fof(f1848,plain,
( ! [X0] :
( sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_149 ),
inference(resolution,[],[f1835,f121]) ).
fof(f1835,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) )
| ~ spl2_149 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f17385,plain,
( spl2_1182
| ~ spl2_24
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1766,f1747,f185,f17383]) ).
fof(f17383,plain,
( spl2_1182
<=> ! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1182])]) ).
fof(f185,plain,
( spl2_24
<=> ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).
fof(f1747,plain,
( spl2_144
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_144])]) ).
fof(f1766,plain,
( ! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_144 ),
inference(resolution,[],[f1748,f186]) ).
fof(f186,plain,
( ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f1748,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) )
| ~ spl2_144 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f17381,plain,
( spl2_1181
| ~ spl2_25
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1764,f1747,f189,f17379]) ).
fof(f17379,plain,
( spl2_1181
<=> ! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1181])]) ).
fof(f189,plain,
( spl2_25
<=> ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).
fof(f1764,plain,
( ! [X0,X1] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtpldt0(X0,X1)))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_144 ),
inference(resolution,[],[f1748,f190]) ).
fof(f190,plain,
( ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f17377,plain,
( spl2_1180
| ~ spl2_24
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1753,f1743,f185,f17375]) ).
fof(f17375,plain,
( spl2_1180
<=> ! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1180])]) ).
fof(f1743,plain,
( spl2_143
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_143])]) ).
fof(f1753,plain,
( ! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_143 ),
inference(resolution,[],[f1744,f186]) ).
fof(f1744,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl2_143 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f17373,plain,
( spl2_1179
| ~ spl2_25
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1751,f1743,f189,f17371]) ).
fof(f17371,plain,
( spl2_1179
<=> ! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1179])]) ).
fof(f1751,plain,
( ! [X0,X1] :
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_143 ),
inference(resolution,[],[f1744,f190]) ).
fof(f17345,plain,
( spl2_1178
| ~ spl2_2
| ~ spl2_79
| ~ spl2_1167 ),
inference(avatar_split_clause,[],[f17185,f16807,f779,f82,f17342]) ).
fof(f17342,plain,
( spl2_1178
<=> xy = sdtpldt0(sdtpldt0(xy,smndt0(xx)),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1178])]) ).
fof(f17185,plain,
( xy = sdtpldt0(sdtpldt0(xy,smndt0(xx)),xx)
| ~ spl2_2
| ~ spl2_79
| ~ spl2_1167 ),
inference(forward_demodulation,[],[f17170,f781]) ).
fof(f17170,plain,
( sdtpldt0(xy,sz0z00) = sdtpldt0(sdtpldt0(xy,smndt0(xx)),xx)
| ~ spl2_2
| ~ spl2_1167 ),
inference(resolution,[],[f16808,f84]) ).
fof(f17106,plain,
( spl2_1177
| ~ spl2_3
| ~ spl2_1008 ),
inference(avatar_split_clause,[],[f16111,f14972,f87,f17103]) ).
fof(f17103,plain,
( spl2_1177
<=> sdtasdt0(xu,xu) = smndt0(smndt0(sdtasdt0(xu,xu))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1177])]) ).
fof(f16111,plain,
( sdtasdt0(xu,xu) = smndt0(smndt0(sdtasdt0(xu,xu)))
| ~ spl2_3
| ~ spl2_1008 ),
inference(resolution,[],[f14973,f89]) ).
fof(f16911,plain,
( spl2_1176
| ~ spl2_4
| ~ spl2_139
| ~ spl2_1007 ),
inference(avatar_split_clause,[],[f16100,f14968,f1692,f92,f16908]) ).
fof(f16908,plain,
( spl2_1176
<=> sdtasdt0(xy,xv) = smndt0(smndt0(sdtasdt0(xy,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1176])]) ).
fof(f14968,plain,
( spl2_1007
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = smndt0(smndt0(sdtasdt0(X0,xy))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1007])]) ).
fof(f16100,plain,
( sdtasdt0(xy,xv) = smndt0(smndt0(sdtasdt0(xy,xv)))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_1007 ),
inference(forward_demodulation,[],[f16092,f1694]) ).
fof(f16092,plain,
( sdtasdt0(xv,xy) = smndt0(smndt0(sdtasdt0(xv,xy)))
| ~ spl2_4
| ~ spl2_1007 ),
inference(resolution,[],[f14969,f94]) ).
fof(f14969,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = smndt0(smndt0(sdtasdt0(X0,xy))) )
| ~ spl2_1007 ),
inference(avatar_component_clause,[],[f14968]) ).
fof(f16842,plain,
( spl2_1175
| ~ spl2_4
| ~ spl2_179
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f7022,f6976,f2000,f92,f16840]) ).
fof(f2000,plain,
( spl2_179
<=> sz0z00 = sdtasdt0(smndt0(xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_179])]) ).
fof(f6976,plain,
( spl2_404
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_404])]) ).
fof(f7022,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xv)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_179
| ~ spl2_404 ),
inference(forward_demodulation,[],[f7012,f2002]) ).
fof(f2002,plain,
( sz0z00 = sdtasdt0(smndt0(xv),sz0z00)
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f7012,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(xv)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(xv),sz0z00)) )
| ~ spl2_4
| ~ spl2_404 ),
inference(resolution,[],[f6977,f94]) ).
fof(f6977,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz0z00)) )
| ~ spl2_404 ),
inference(avatar_component_clause,[],[f6976]) ).
fof(f16838,plain,
( spl2_1174
| ~ spl2_3
| ~ spl2_168
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f7021,f6976,f1955,f87,f16836]) ).
fof(f1955,plain,
( spl2_168
<=> sz0z00 = sdtasdt0(smndt0(xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_168])]) ).
fof(f7021,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xu)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_168
| ~ spl2_404 ),
inference(forward_demodulation,[],[f7011,f1957]) ).
fof(f1957,plain,
( sz0z00 = sdtasdt0(smndt0(xu),sz0z00)
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f7011,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(xu)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(xu),sz0z00)) )
| ~ spl2_3
| ~ spl2_404 ),
inference(resolution,[],[f6977,f89]) ).
fof(f16834,plain,
( spl2_1173
| ~ spl2_2
| ~ spl2_157
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f7020,f6976,f1910,f82,f16832]) ).
fof(f1910,plain,
( spl2_157
<=> sz0z00 = sdtasdt0(smndt0(xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_157])]) ).
fof(f7020,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xy)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_157
| ~ spl2_404 ),
inference(forward_demodulation,[],[f7010,f1912]) ).
fof(f1912,plain,
( sz0z00 = sdtasdt0(smndt0(xy),sz0z00)
| ~ spl2_157 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f7010,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(xy)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(xy),sz0z00)) )
| ~ spl2_2
| ~ spl2_404 ),
inference(resolution,[],[f6977,f84]) ).
fof(f16830,plain,
( spl2_1172
| ~ spl2_1
| ~ spl2_148
| ~ spl2_404 ),
inference(avatar_split_clause,[],[f7019,f6976,f1829,f77,f16828]) ).
fof(f1829,plain,
( spl2_148
<=> sz0z00 = sdtasdt0(smndt0(xx),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_148])]) ).
fof(f7019,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,smndt0(xx)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_148
| ~ spl2_404 ),
inference(forward_demodulation,[],[f7009,f1831]) ).
fof(f1831,plain,
( sz0z00 = sdtasdt0(smndt0(xx),sz0z00)
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f7009,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(xx)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(xx),sz0z00)) )
| ~ spl2_1
| ~ spl2_404 ),
inference(resolution,[],[f6977,f79]) ).
fof(f16826,plain,
( spl2_1171
| ~ spl2_4
| ~ spl2_124
| ~ spl2_382 ),
inference(avatar_split_clause,[],[f6719,f6555,f1277,f92,f16824]) ).
fof(f1277,plain,
( spl2_124
<=> sz0z00 = sdtpldt0(smndt0(xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_124])]) ).
fof(f6555,plain,
( spl2_382
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xv) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_382])]) ).
fof(f6719,plain,
( ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xv)),xv)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_124
| ~ spl2_382 ),
inference(forward_demodulation,[],[f6709,f1279]) ).
fof(f1279,plain,
( sz0z00 = sdtpldt0(smndt0(xv),xv)
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f6709,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xv)),xv) = sdtpldt0(X0,sdtpldt0(smndt0(xv),xv)) )
| ~ spl2_4
| ~ spl2_382 ),
inference(resolution,[],[f6556,f94]) ).
fof(f6556,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),xv) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xv)) )
| ~ spl2_382 ),
inference(avatar_component_clause,[],[f6555]) ).
fof(f16822,plain,
( spl2_1170
| ~ spl2_3
| ~ spl2_138
| ~ spl2_1007 ),
inference(avatar_split_clause,[],[f16099,f14968,f1687,f87,f16819]) ).
fof(f16819,plain,
( spl2_1170
<=> sdtasdt0(xy,xu) = smndt0(smndt0(sdtasdt0(xy,xu))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1170])]) ).
fof(f16099,plain,
( sdtasdt0(xy,xu) = smndt0(smndt0(sdtasdt0(xy,xu)))
| ~ spl2_3
| ~ spl2_138
| ~ spl2_1007 ),
inference(forward_demodulation,[],[f16091,f1689]) ).
fof(f16091,plain,
( sdtasdt0(xu,xy) = smndt0(smndt0(sdtasdt0(xu,xy)))
| ~ spl2_3
| ~ spl2_1007 ),
inference(resolution,[],[f14969,f89]) ).
fof(f16817,plain,
( spl2_1169
| ~ spl2_3
| ~ spl2_122
| ~ spl2_381 ),
inference(avatar_split_clause,[],[f6696,f6551,f1267,f87,f16815]) ).
fof(f1267,plain,
( spl2_122
<=> sz0z00 = sdtpldt0(smndt0(xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_122])]) ).
fof(f6551,plain,
( spl2_381
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xu) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_381])]) ).
fof(f6696,plain,
( ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xu)),xu)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_122
| ~ spl2_381 ),
inference(forward_demodulation,[],[f6686,f1269]) ).
fof(f1269,plain,
( sz0z00 = sdtpldt0(smndt0(xu),xu)
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f6686,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xu)),xu) = sdtpldt0(X0,sdtpldt0(smndt0(xu),xu)) )
| ~ spl2_3
| ~ spl2_381 ),
inference(resolution,[],[f6552,f89]) ).
fof(f6552,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),xu) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xu)) )
| ~ spl2_381 ),
inference(avatar_component_clause,[],[f6551]) ).
fof(f16813,plain,
( spl2_1168
| ~ spl2_2
| ~ spl2_120
| ~ spl2_380 ),
inference(avatar_split_clause,[],[f6673,f6547,f1257,f82,f16811]) ).
fof(f1257,plain,
( spl2_120
<=> sz0z00 = sdtpldt0(smndt0(xy),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_120])]) ).
fof(f6547,plain,
( spl2_380
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xy) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_380])]) ).
fof(f6673,plain,
( ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xy)),xy)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_120
| ~ spl2_380 ),
inference(forward_demodulation,[],[f6663,f1259]) ).
fof(f1259,plain,
( sz0z00 = sdtpldt0(smndt0(xy),xy)
| ~ spl2_120 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f6663,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xy)),xy) = sdtpldt0(X0,sdtpldt0(smndt0(xy),xy)) )
| ~ spl2_2
| ~ spl2_380 ),
inference(resolution,[],[f6548,f84]) ).
fof(f6548,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),xy) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xy)) )
| ~ spl2_380 ),
inference(avatar_component_clause,[],[f6547]) ).
fof(f16809,plain,
( spl2_1167
| ~ spl2_1
| ~ spl2_118
| ~ spl2_379 ),
inference(avatar_split_clause,[],[f6650,f6543,f1247,f77,f16807]) ).
fof(f1247,plain,
( spl2_118
<=> sz0z00 = sdtpldt0(smndt0(xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_118])]) ).
fof(f6543,plain,
( spl2_379
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_379])]) ).
fof(f6650,plain,
( ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),xx)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_118
| ~ spl2_379 ),
inference(forward_demodulation,[],[f6640,f1249]) ).
fof(f1249,plain,
( sz0z00 = sdtpldt0(smndt0(xx),xx)
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f6640,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xx)),xx) = sdtpldt0(X0,sdtpldt0(smndt0(xx),xx)) )
| ~ spl2_1
| ~ spl2_379 ),
inference(resolution,[],[f6544,f79]) ).
fof(f6544,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xx)) )
| ~ spl2_379 ),
inference(avatar_component_clause,[],[f6543]) ).
fof(f16805,plain,
( spl2_1166
| ~ spl2_4
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f4468,f4418,f92,f16803]) ).
fof(f16803,plain,
( spl2_1166
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,xv)),sdtpldt0(X0,xv)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1166])]) ).
fof(f4468,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,xv)),sdtpldt0(X0,xv)) )
| ~ spl2_4
| ~ spl2_263 ),
inference(resolution,[],[f4419,f94]) ).
fof(f16801,plain,
( spl2_1165
| ~ spl2_3
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f4467,f4418,f87,f16799]) ).
fof(f16799,plain,
( spl2_1165
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,xu)),sdtpldt0(X0,xu)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1165])]) ).
fof(f4467,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,xu)),sdtpldt0(X0,xu)) )
| ~ spl2_3
| ~ spl2_263 ),
inference(resolution,[],[f4419,f89]) ).
fof(f16797,plain,
( spl2_1164
| ~ spl2_2
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f4466,f4418,f82,f16795]) ).
fof(f16795,plain,
( spl2_1164
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,xy)),sdtpldt0(X0,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1164])]) ).
fof(f4466,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,xy)),sdtpldt0(X0,xy)) )
| ~ spl2_2
| ~ spl2_263 ),
inference(resolution,[],[f4419,f84]) ).
fof(f16793,plain,
( spl2_1163
| ~ spl2_1
| ~ spl2_263 ),
inference(avatar_split_clause,[],[f4465,f4418,f77,f16791]) ).
fof(f16791,plain,
( spl2_1163
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,xx)),sdtpldt0(X0,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1163])]) ).
fof(f4465,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,xx)),sdtpldt0(X0,xx)) )
| ~ spl2_1
| ~ spl2_263 ),
inference(resolution,[],[f4419,f79]) ).
fof(f16789,plain,
( spl2_1162
| ~ spl2_4
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f4456,f4414,f92,f16787]) ).
fof(f16787,plain,
( spl2_1162
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,xv),smndt0(sdtpldt0(X0,xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1162])]) ).
fof(f4456,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,xv),smndt0(sdtpldt0(X0,xv))) )
| ~ spl2_4
| ~ spl2_262 ),
inference(resolution,[],[f4415,f94]) ).
fof(f16785,plain,
( spl2_1161
| ~ spl2_3
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f4455,f4414,f87,f16783]) ).
fof(f16783,plain,
( spl2_1161
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,xu),smndt0(sdtpldt0(X0,xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1161])]) ).
fof(f4455,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,xu),smndt0(sdtpldt0(X0,xu))) )
| ~ spl2_3
| ~ spl2_262 ),
inference(resolution,[],[f4415,f89]) ).
fof(f16781,plain,
( spl2_1160
| ~ spl2_2
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f4454,f4414,f82,f16779]) ).
fof(f16779,plain,
( spl2_1160
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,xy),smndt0(sdtpldt0(X0,xy))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1160])]) ).
fof(f4454,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,xy),smndt0(sdtpldt0(X0,xy))) )
| ~ spl2_2
| ~ spl2_262 ),
inference(resolution,[],[f4415,f84]) ).
fof(f16777,plain,
( spl2_1159
| ~ spl2_2
| ~ spl2_1007 ),
inference(avatar_split_clause,[],[f16090,f14968,f82,f16774]) ).
fof(f16774,plain,
( spl2_1159
<=> sdtasdt0(xy,xy) = smndt0(smndt0(sdtasdt0(xy,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1159])]) ).
fof(f16090,plain,
( sdtasdt0(xy,xy) = smndt0(smndt0(sdtasdt0(xy,xy)))
| ~ spl2_2
| ~ spl2_1007 ),
inference(resolution,[],[f14969,f84]) ).
fof(f16772,plain,
( spl2_1158
| ~ spl2_1
| ~ spl2_262 ),
inference(avatar_split_clause,[],[f4453,f4414,f77,f16770]) ).
fof(f16770,plain,
( spl2_1158
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,xx),smndt0(sdtpldt0(X0,xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1158])]) ).
fof(f4453,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtpldt0(X0,xx),smndt0(sdtpldt0(X0,xx))) )
| ~ spl2_1
| ~ spl2_262 ),
inference(resolution,[],[f4415,f79]) ).
fof(f16768,plain,
( spl2_1157
| ~ spl2_4
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f4444,f4410,f92,f16766]) ).
fof(f16766,plain,
( spl2_1157
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,xv)),sdtasdt0(X0,xv)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1157])]) ).
fof(f4444,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,xv)),sdtasdt0(X0,xv)) )
| ~ spl2_4
| ~ spl2_261 ),
inference(resolution,[],[f4411,f94]) ).
fof(f16764,plain,
( spl2_1156
| ~ spl2_3
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f4443,f4410,f87,f16762]) ).
fof(f16762,plain,
( spl2_1156
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,xu)),sdtasdt0(X0,xu)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1156])]) ).
fof(f4443,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,xu)),sdtasdt0(X0,xu)) )
| ~ spl2_3
| ~ spl2_261 ),
inference(resolution,[],[f4411,f89]) ).
fof(f16760,plain,
( spl2_1155
| ~ spl2_2
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f4442,f4410,f82,f16758]) ).
fof(f16758,plain,
( spl2_1155
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,xy)),sdtasdt0(X0,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1155])]) ).
fof(f4442,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,xy)),sdtasdt0(X0,xy)) )
| ~ spl2_2
| ~ spl2_261 ),
inference(resolution,[],[f4411,f84]) ).
fof(f16756,plain,
( spl2_1154
| ~ spl2_1
| ~ spl2_261 ),
inference(avatar_split_clause,[],[f4441,f4410,f77,f16754]) ).
fof(f16754,plain,
( spl2_1154
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,xx)),sdtasdt0(X0,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1154])]) ).
fof(f4441,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,xx)),sdtasdt0(X0,xx)) )
| ~ spl2_1
| ~ spl2_261 ),
inference(resolution,[],[f4411,f79]) ).
fof(f16752,plain,
( spl2_1153
| ~ spl2_4
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f4432,f4406,f92,f16750]) ).
fof(f16750,plain,
( spl2_1153
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,xv),smndt0(sdtasdt0(X0,xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1153])]) ).
fof(f4432,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,xv),smndt0(sdtasdt0(X0,xv))) )
| ~ spl2_4
| ~ spl2_260 ),
inference(resolution,[],[f4407,f94]) ).
fof(f16748,plain,
( spl2_1152
| ~ spl2_3
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f4431,f4406,f87,f16746]) ).
fof(f16746,plain,
( spl2_1152
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,xu),smndt0(sdtasdt0(X0,xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1152])]) ).
fof(f4431,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,xu),smndt0(sdtasdt0(X0,xu))) )
| ~ spl2_3
| ~ spl2_260 ),
inference(resolution,[],[f4407,f89]) ).
fof(f16744,plain,
( spl2_1151
| ~ spl2_2
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f4430,f4406,f82,f16742]) ).
fof(f16742,plain,
( spl2_1151
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,xy),smndt0(sdtasdt0(X0,xy))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1151])]) ).
fof(f4430,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,xy),smndt0(sdtasdt0(X0,xy))) )
| ~ spl2_2
| ~ spl2_260 ),
inference(resolution,[],[f4407,f84]) ).
fof(f16740,plain,
( spl2_1150
| ~ spl2_1
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f4429,f4406,f77,f16738]) ).
fof(f16738,plain,
( spl2_1150
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,xx),smndt0(sdtasdt0(X0,xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1150])]) ).
fof(f4429,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(sdtasdt0(X0,xx),smndt0(sdtasdt0(X0,xx))) )
| ~ spl2_1
| ~ spl2_260 ),
inference(resolution,[],[f4407,f79]) ).
fof(f16736,plain,
( spl2_1149
| ~ spl2_92
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1767,f1747,f994,f16733]) ).
fof(f16733,plain,
( spl2_1149
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1149])]) ).
fof(f1767,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ spl2_92
| ~ spl2_144 ),
inference(resolution,[],[f1748,f996]) ).
fof(f16731,plain,
( spl2_1148
| ~ spl2_4
| ~ spl2_137
| ~ spl2_1006 ),
inference(avatar_split_clause,[],[f16080,f14964,f1682,f92,f16728]) ).
fof(f16728,plain,
( spl2_1148
<=> sdtasdt0(xx,xv) = smndt0(smndt0(sdtasdt0(xx,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1148])]) ).
fof(f14964,plain,
( spl2_1006
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = smndt0(smndt0(sdtasdt0(X0,xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1006])]) ).
fof(f16080,plain,
( sdtasdt0(xx,xv) = smndt0(smndt0(sdtasdt0(xx,xv)))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_1006 ),
inference(forward_demodulation,[],[f16071,f1684]) ).
fof(f16071,plain,
( sdtasdt0(xv,xx) = smndt0(smndt0(sdtasdt0(xv,xx)))
| ~ spl2_4
| ~ spl2_1006 ),
inference(resolution,[],[f14965,f94]) ).
fof(f14965,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = smndt0(smndt0(sdtasdt0(X0,xx))) )
| ~ spl2_1006 ),
inference(avatar_component_clause,[],[f14964]) ).
fof(f16726,plain,
( spl2_1147
| ~ spl2_92
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1754,f1743,f994,f16723]) ).
fof(f16723,plain,
( spl2_1147
<=> sz0z00 = sdtasdt0(smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1147])]) ).
fof(f1754,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_92
| ~ spl2_143 ),
inference(resolution,[],[f1744,f996]) ).
fof(f16539,plain,
( spl2_1146
| ~ spl2_6
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f4325,f4254,f102,f16537]) ).
fof(f16537,plain,
( spl2_1146
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = smndt0(smndt0(sdtpldt0(X0,sz0z00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1146])]) ).
fof(f4254,plain,
( spl2_256
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = smndt0(smndt0(sdtpldt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_256])]) ).
fof(f4325,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = smndt0(smndt0(sdtpldt0(X0,sz0z00))) )
| ~ spl2_6
| ~ spl2_256 ),
inference(resolution,[],[f4255,f104]) ).
fof(f4255,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = smndt0(smndt0(sdtpldt0(X0,X1))) )
| ~ spl2_256 ),
inference(avatar_component_clause,[],[f4254]) ).
fof(f16535,plain,
( spl2_1145
| ~ spl2_3
| ~ spl2_136
| ~ spl2_1006 ),
inference(avatar_split_clause,[],[f16079,f14964,f1677,f87,f16532]) ).
fof(f16532,plain,
( spl2_1145
<=> sdtasdt0(xx,xu) = smndt0(smndt0(sdtasdt0(xx,xu))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1145])]) ).
fof(f16079,plain,
( sdtasdt0(xx,xu) = smndt0(smndt0(sdtasdt0(xx,xu)))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_1006 ),
inference(forward_demodulation,[],[f16070,f1679]) ).
fof(f16070,plain,
( sdtasdt0(xu,xx) = smndt0(smndt0(sdtasdt0(xu,xx)))
| ~ spl2_3
| ~ spl2_1006 ),
inference(resolution,[],[f14965,f89]) ).
fof(f16530,plain,
( spl2_1144
| ~ spl2_6
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f4313,f4245,f102,f16528]) ).
fof(f16528,plain,
( spl2_1144
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1144])]) ).
fof(f4245,plain,
( spl2_254
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_254])]) ).
fof(f4313,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,sz0z00)) )
| ~ spl2_6
| ~ spl2_254 ),
inference(resolution,[],[f4246,f104]) ).
fof(f4246,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ spl2_254 ),
inference(avatar_component_clause,[],[f4245]) ).
fof(f16526,plain,
( spl2_1143
| ~ spl2_6
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f4289,f4237,f102,f16524]) ).
fof(f16524,plain,
( spl2_1143
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = smndt0(smndt0(sdtasdt0(X0,sz0z00))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1143])]) ).
fof(f4237,plain,
( spl2_252
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = smndt0(smndt0(sdtasdt0(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_252])]) ).
fof(f4289,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = smndt0(smndt0(sdtasdt0(X0,sz0z00))) )
| ~ spl2_6
| ~ spl2_252 ),
inference(resolution,[],[f4238,f104]) ).
fof(f4238,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = smndt0(smndt0(sdtasdt0(X0,X1))) )
| ~ spl2_252 ),
inference(avatar_component_clause,[],[f4237]) ).
fof(f16522,plain,
( spl2_1142
| ~ spl2_6
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f4277,f4233,f102,f16520]) ).
fof(f16520,plain,
( spl2_1142
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1142])]) ).
fof(f4233,plain,
( spl2_251
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sz0z00,sdtasdt0(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_251])]) ).
fof(f4277,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,sz0z00)) )
| ~ spl2_6
| ~ spl2_251 ),
inference(resolution,[],[f4234,f104]) ).
fof(f4234,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtpldt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f4233]) ).
fof(f16518,plain,
( spl2_1141
| ~ spl2_6
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f4265,f4229,f102,f16516]) ).
fof(f16516,plain,
( spl2_1141
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1141])]) ).
fof(f4229,plain,
( spl2_250
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_250])]) ).
fof(f4265,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl2_6
| ~ spl2_250 ),
inference(resolution,[],[f4230,f104]) ).
fof(f4230,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sz0z00) )
| ~ spl2_250 ),
inference(avatar_component_clause,[],[f4229]) ).
fof(f16514,plain,
( spl2_1140
| ~ spl2_9
| ~ spl2_147 ),
inference(avatar_split_clause,[],[f1821,f1785,f120,f16512]) ).
fof(f16512,plain,
( spl2_1140
<=> ! [X0] :
( smndt0(smndt0(X0)) = smndt0(smndt0(smndt0(smndt0(X0))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1140])]) ).
fof(f1785,plain,
( spl2_147
<=> ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = smndt0(smndt0(smndt0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_147])]) ).
fof(f1821,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = smndt0(smndt0(smndt0(smndt0(X0))))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_147 ),
inference(resolution,[],[f1786,f121]) ).
fof(f1786,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = smndt0(smndt0(smndt0(X0))) )
| ~ spl2_147 ),
inference(avatar_component_clause,[],[f1785]) ).
fof(f16510,plain,
( spl2_1139
| ~ spl2_9
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f1808,f1781,f120,f16508]) ).
fof(f16508,plain,
( spl2_1139
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1139])]) ).
fof(f1781,plain,
( spl2_146
<=> ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_146])]) ).
fof(f1808,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_146 ),
inference(resolution,[],[f1782,f121]) ).
fof(f1782,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0)) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f1781]) ).
fof(f16506,plain,
( spl2_1138
| ~ spl2_9
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f1795,f1777,f120,f16504]) ).
fof(f16504,plain,
( spl2_1138
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1138])]) ).
fof(f1777,plain,
( spl2_145
<=> ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_145])]) ).
fof(f1795,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_145 ),
inference(resolution,[],[f1778,f121]) ).
fof(f1778,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f16496,plain,
( spl2_1137
| ~ spl2_2
| ~ spl2_135
| ~ spl2_1006 ),
inference(avatar_split_clause,[],[f16078,f14964,f1672,f82,f16493]) ).
fof(f16493,plain,
( spl2_1137
<=> sdtasdt0(xx,xy) = smndt0(smndt0(sdtasdt0(xx,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1137])]) ).
fof(f16078,plain,
( sdtasdt0(xx,xy) = smndt0(smndt0(sdtasdt0(xx,xy)))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_1006 ),
inference(forward_demodulation,[],[f16069,f1674]) ).
fof(f16069,plain,
( sdtasdt0(xy,xx) = smndt0(smndt0(sdtasdt0(xy,xx)))
| ~ spl2_2
| ~ spl2_1006 ),
inference(resolution,[],[f14965,f84]) ).
fof(f16471,plain,
( spl2_1136
| ~ spl2_1
| ~ spl2_1006 ),
inference(avatar_split_clause,[],[f16068,f14964,f77,f16468]) ).
fof(f16468,plain,
( spl2_1136
<=> sdtasdt0(xx,xx) = smndt0(smndt0(sdtasdt0(xx,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1136])]) ).
fof(f16068,plain,
( sdtasdt0(xx,xx) = smndt0(smndt0(sdtasdt0(xx,xx)))
| ~ spl2_1
| ~ spl2_1006 ),
inference(resolution,[],[f14965,f79]) ).
fof(f16357,plain,
( spl2_1135
| ~ spl2_4
| ~ spl2_750
| ~ spl2_1053 ),
inference(avatar_split_clause,[],[f16024,f15189,f13052,f92,f16354]) ).
fof(f16354,plain,
( spl2_1135
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,smndt0(xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1135])]) ).
fof(f13052,plain,
( spl2_750
<=> sdtasdt0(smndt0(xv),xx) = sdtasdt0(xx,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_750])]) ).
fof(f15189,plain,
( spl2_1053
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xx),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1053])]) ).
fof(f16024,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,smndt0(xv)),sz0z00)
| ~ spl2_4
| ~ spl2_750
| ~ spl2_1053 ),
inference(forward_demodulation,[],[f16014,f13054]) ).
fof(f13054,plain,
( sdtasdt0(smndt0(xv),xx) = sdtasdt0(xx,smndt0(xv))
| ~ spl2_750 ),
inference(avatar_component_clause,[],[f13052]) ).
fof(f16014,plain,
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(xv),xx),sz0z00)
| ~ spl2_4
| ~ spl2_1053 ),
inference(resolution,[],[f15190,f94]) ).
fof(f15190,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xx),sz0z00) )
| ~ spl2_1053 ),
inference(avatar_component_clause,[],[f15189]) ).
fof(f16332,plain,
( spl2_1134
| ~ spl2_3
| ~ spl2_749
| ~ spl2_1053 ),
inference(avatar_split_clause,[],[f16023,f15189,f13045,f87,f16329]) ).
fof(f16329,plain,
( spl2_1134
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,smndt0(xu)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1134])]) ).
fof(f13045,plain,
( spl2_749
<=> sdtasdt0(smndt0(xu),xx) = sdtasdt0(xx,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_749])]) ).
fof(f16023,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,smndt0(xu)),sz0z00)
| ~ spl2_3
| ~ spl2_749
| ~ spl2_1053 ),
inference(forward_demodulation,[],[f16013,f13047]) ).
fof(f13047,plain,
( sdtasdt0(smndt0(xu),xx) = sdtasdt0(xx,smndt0(xu))
| ~ spl2_749 ),
inference(avatar_component_clause,[],[f13045]) ).
fof(f16013,plain,
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(xu),xx),sz0z00)
| ~ spl2_3
| ~ spl2_1053 ),
inference(resolution,[],[f15190,f89]) ).
fof(f16307,plain,
( spl2_1133
| ~ spl2_2
| ~ spl2_748
| ~ spl2_1053 ),
inference(avatar_split_clause,[],[f16022,f15189,f13040,f82,f16304]) ).
fof(f16304,plain,
( spl2_1133
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,smndt0(xy)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1133])]) ).
fof(f13040,plain,
( spl2_748
<=> sdtasdt0(smndt0(xy),xx) = sdtasdt0(xx,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_748])]) ).
fof(f16022,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,smndt0(xy)),sz0z00)
| ~ spl2_2
| ~ spl2_748
| ~ spl2_1053 ),
inference(forward_demodulation,[],[f16012,f13042]) ).
fof(f13042,plain,
( sdtasdt0(smndt0(xy),xx) = sdtasdt0(xx,smndt0(xy))
| ~ spl2_748 ),
inference(avatar_component_clause,[],[f13040]) ).
fof(f16012,plain,
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(xy),xx),sz0z00)
| ~ spl2_2
| ~ spl2_1053 ),
inference(resolution,[],[f15190,f84]) ).
fof(f16216,plain,
( spl2_1132
| ~ spl2_1
| ~ spl2_747
| ~ spl2_1053 ),
inference(avatar_split_clause,[],[f16021,f15189,f13035,f77,f16213]) ).
fof(f16213,plain,
( spl2_1132
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,smndt0(xx)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1132])]) ).
fof(f13035,plain,
( spl2_747
<=> sdtasdt0(smndt0(xx),xx) = sdtasdt0(xx,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_747])]) ).
fof(f16021,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,smndt0(xx)),sz0z00)
| ~ spl2_1
| ~ spl2_747
| ~ spl2_1053 ),
inference(forward_demodulation,[],[f16011,f13037]) ).
fof(f13037,plain,
( sdtasdt0(smndt0(xx),xx) = sdtasdt0(xx,smndt0(xx))
| ~ spl2_747 ),
inference(avatar_component_clause,[],[f13035]) ).
fof(f16011,plain,
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(xx),xx),sz0z00)
| ~ spl2_1
| ~ spl2_1053 ),
inference(resolution,[],[f15190,f79]) ).
fof(f15863,plain,
( spl2_1131
| ~ spl2_3
| ~ spl2_231
| ~ spl2_985 ),
inference(avatar_split_clause,[],[f14866,f14862,f2950,f87,f15860]) ).
fof(f15860,plain,
( spl2_1131
<=> sdtasdt0(xv,sdtasdt0(xu,xv)) = sdtasdt0(xu,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1131])]) ).
fof(f2950,plain,
( spl2_231
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xv) = sdtasdt0(X0,sdtasdt0(xv,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_231])]) ).
fof(f14862,plain,
( spl2_985
<=> sdtasdt0(xv,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xu,xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_985])]) ).
fof(f14866,plain,
( sdtasdt0(xv,sdtasdt0(xu,xv)) = sdtasdt0(xu,sdtasdt0(xv,xv))
| ~ spl2_3
| ~ spl2_231
| ~ spl2_985 ),
inference(forward_demodulation,[],[f14864,f3648]) ).
fof(f3648,plain,
( sdtasdt0(sdtasdt0(xu,xv),xv) = sdtasdt0(xu,sdtasdt0(xv,xv))
| ~ spl2_3
| ~ spl2_231 ),
inference(resolution,[],[f2951,f89]) ).
fof(f2951,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xv),xv) = sdtasdt0(X0,sdtasdt0(xv,xv)) )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f2950]) ).
fof(f14864,plain,
( sdtasdt0(xv,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xu,xv),xv)
| ~ spl2_985 ),
inference(avatar_component_clause,[],[f14862]) ).
fof(f15850,plain,
( spl2_1130
| ~ spl2_2
| ~ spl2_231
| ~ spl2_981 ),
inference(avatar_split_clause,[],[f14845,f14841,f2950,f82,f15847]) ).
fof(f15847,plain,
( spl2_1130
<=> sdtasdt0(xv,sdtasdt0(xy,xv)) = sdtasdt0(xy,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1130])]) ).
fof(f14841,plain,
( spl2_981
<=> sdtasdt0(xv,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_981])]) ).
fof(f14845,plain,
( sdtasdt0(xv,sdtasdt0(xy,xv)) = sdtasdt0(xy,sdtasdt0(xv,xv))
| ~ spl2_2
| ~ spl2_231
| ~ spl2_981 ),
inference(forward_demodulation,[],[f14843,f3647]) ).
fof(f3647,plain,
( sdtasdt0(sdtasdt0(xy,xv),xv) = sdtasdt0(xy,sdtasdt0(xv,xv))
| ~ spl2_2
| ~ spl2_231 ),
inference(resolution,[],[f2951,f84]) ).
fof(f14843,plain,
( sdtasdt0(xv,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xv),xv)
| ~ spl2_981 ),
inference(avatar_component_clause,[],[f14841]) ).
fof(f15845,plain,
( spl2_1129
| ~ spl2_2
| ~ spl2_230
| ~ spl2_980 ),
inference(avatar_split_clause,[],[f14839,f14835,f2944,f82,f15842]) ).
fof(f15842,plain,
( spl2_1129
<=> sdtasdt0(xu,sdtasdt0(xy,xv)) = sdtasdt0(xy,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1129])]) ).
fof(f2944,plain,
( spl2_230
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(X0,xu),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_230])]) ).
fof(f14835,plain,
( spl2_980
<=> sdtasdt0(xu,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_980])]) ).
fof(f14839,plain,
( sdtasdt0(xu,sdtasdt0(xy,xv)) = sdtasdt0(xy,sdtasdt0(xu,xv))
| ~ spl2_2
| ~ spl2_230
| ~ spl2_980 ),
inference(forward_demodulation,[],[f14837,f3628]) ).
fof(f3628,plain,
( sdtasdt0(xy,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xy,xu),xv)
| ~ spl2_2
| ~ spl2_230 ),
inference(resolution,[],[f2945,f84]) ).
fof(f2945,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(X0,xu),xv) )
| ~ spl2_230 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f14837,plain,
( sdtasdt0(xu,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xu),xv)
| ~ spl2_980 ),
inference(avatar_component_clause,[],[f14835]) ).
fof(f15836,plain,
( spl2_1128
| ~ spl2_1
| ~ spl2_231
| ~ spl2_977 ),
inference(avatar_split_clause,[],[f14821,f14817,f2950,f77,f15833]) ).
fof(f15833,plain,
( spl2_1128
<=> sdtasdt0(xv,sdtasdt0(xx,xv)) = sdtasdt0(xx,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1128])]) ).
fof(f14817,plain,
( spl2_977
<=> sdtasdt0(xv,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_977])]) ).
fof(f14821,plain,
( sdtasdt0(xv,sdtasdt0(xx,xv)) = sdtasdt0(xx,sdtasdt0(xv,xv))
| ~ spl2_1
| ~ spl2_231
| ~ spl2_977 ),
inference(forward_demodulation,[],[f14819,f3646]) ).
fof(f3646,plain,
( sdtasdt0(sdtasdt0(xx,xv),xv) = sdtasdt0(xx,sdtasdt0(xv,xv))
| ~ spl2_1
| ~ spl2_231 ),
inference(resolution,[],[f2951,f79]) ).
fof(f14819,plain,
( sdtasdt0(xv,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xv),xv)
| ~ spl2_977 ),
inference(avatar_component_clause,[],[f14817]) ).
fof(f15831,plain,
( spl2_1127
| ~ spl2_1
| ~ spl2_230
| ~ spl2_976 ),
inference(avatar_split_clause,[],[f14815,f14811,f2944,f77,f15828]) ).
fof(f15828,plain,
( spl2_1127
<=> sdtasdt0(xu,sdtasdt0(xx,xv)) = sdtasdt0(xx,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1127])]) ).
fof(f14811,plain,
( spl2_976
<=> sdtasdt0(xu,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_976])]) ).
fof(f14815,plain,
( sdtasdt0(xu,sdtasdt0(xx,xv)) = sdtasdt0(xx,sdtasdt0(xu,xv))
| ~ spl2_1
| ~ spl2_230
| ~ spl2_976 ),
inference(forward_demodulation,[],[f14813,f3627]) ).
fof(f3627,plain,
( sdtasdt0(xx,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xx,xu),xv)
| ~ spl2_1
| ~ spl2_230 ),
inference(resolution,[],[f2945,f79]) ).
fof(f14813,plain,
( sdtasdt0(xu,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xu),xv)
| ~ spl2_976 ),
inference(avatar_component_clause,[],[f14811]) ).
fof(f15826,plain,
( spl2_1126
| ~ spl2_1
| ~ spl2_229
| ~ spl2_975 ),
inference(avatar_split_clause,[],[f14809,f14805,f2940,f77,f15823]) ).
fof(f15823,plain,
( spl2_1126
<=> sdtasdt0(xy,sdtasdt0(xx,xv)) = sdtasdt0(xx,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1126])]) ).
fof(f2940,plain,
( spl2_229
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(X0,xy),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_229])]) ).
fof(f14805,plain,
( spl2_975
<=> sdtasdt0(xy,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xy),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_975])]) ).
fof(f14809,plain,
( sdtasdt0(xy,sdtasdt0(xx,xv)) = sdtasdt0(xx,sdtasdt0(xy,xv))
| ~ spl2_1
| ~ spl2_229
| ~ spl2_975 ),
inference(forward_demodulation,[],[f14807,f3606]) ).
fof(f3606,plain,
( sdtasdt0(xx,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xx,xy),xv)
| ~ spl2_1
| ~ spl2_229 ),
inference(resolution,[],[f2941,f79]) ).
fof(f2941,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(X0,xy),xv) )
| ~ spl2_229 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f14807,plain,
( sdtasdt0(xy,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xy),xv)
| ~ spl2_975 ),
inference(avatar_component_clause,[],[f14805]) ).
fof(f15819,plain,
( spl2_1125
| ~ spl2_9
| ~ spl2_789 ),
inference(avatar_split_clause,[],[f13788,f13248,f120,f15817]) ).
fof(f15817,plain,
( spl2_1125
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X0),xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1125])]) ).
fof(f13248,plain,
( spl2_789
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xv)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_789])]) ).
fof(f13788,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X0),xv))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_789 ),
inference(resolution,[],[f13249,f121]) ).
fof(f13249,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xv)) )
| ~ spl2_789 ),
inference(avatar_component_clause,[],[f13248]) ).
fof(f15805,plain,
( spl2_1124
| ~ spl2_3
| ~ spl2_227
| ~ spl2_969 ),
inference(avatar_split_clause,[],[f14776,f14772,f2932,f87,f15802]) ).
fof(f15802,plain,
( spl2_1124
<=> sdtasdt0(xv,sdtasdt0(xu,xu)) = sdtasdt0(xu,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1124])]) ).
fof(f2932,plain,
( spl2_227
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xu) = sdtasdt0(X0,sdtasdt0(xu,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_227])]) ).
fof(f14772,plain,
( spl2_969
<=> sdtasdt0(xv,sdtasdt0(xu,xu)) = sdtasdt0(sdtasdt0(xu,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_969])]) ).
fof(f14776,plain,
( sdtasdt0(xv,sdtasdt0(xu,xu)) = sdtasdt0(xu,sdtasdt0(xu,xv))
| ~ spl2_3
| ~ spl2_227
| ~ spl2_969 ),
inference(forward_demodulation,[],[f14774,f3568]) ).
fof(f3568,plain,
( sdtasdt0(sdtasdt0(xu,xv),xu) = sdtasdt0(xu,sdtasdt0(xu,xv))
| ~ spl2_3
| ~ spl2_227 ),
inference(resolution,[],[f2933,f89]) ).
fof(f2933,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xv),xu) = sdtasdt0(X0,sdtasdt0(xu,xv)) )
| ~ spl2_227 ),
inference(avatar_component_clause,[],[f2932]) ).
fof(f14774,plain,
( sdtasdt0(xv,sdtasdt0(xu,xu)) = sdtasdt0(sdtasdt0(xu,xv),xu)
| ~ spl2_969 ),
inference(avatar_component_clause,[],[f14772]) ).
fof(f15794,plain,
( spl2_1123
| ~ spl2_2
| ~ spl2_227
| ~ spl2_965 ),
inference(avatar_split_clause,[],[f14755,f14751,f2932,f82,f15791]) ).
fof(f15791,plain,
( spl2_1123
<=> sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(xy,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1123])]) ).
fof(f14751,plain,
( spl2_965
<=> sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_965])]) ).
fof(f14755,plain,
( sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(xy,sdtasdt0(xu,xv))
| ~ spl2_2
| ~ spl2_227
| ~ spl2_965 ),
inference(forward_demodulation,[],[f14753,f3567]) ).
fof(f3567,plain,
( sdtasdt0(sdtasdt0(xy,xv),xu) = sdtasdt0(xy,sdtasdt0(xu,xv))
| ~ spl2_2
| ~ spl2_227 ),
inference(resolution,[],[f2933,f84]) ).
fof(f14753,plain,
( sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xv),xu)
| ~ spl2_965 ),
inference(avatar_component_clause,[],[f14751]) ).
fof(f15789,plain,
( spl2_1122
| ~ spl2_2
| ~ spl2_226
| ~ spl2_964 ),
inference(avatar_split_clause,[],[f14749,f14745,f2928,f82,f15786]) ).
fof(f15786,plain,
( spl2_1122
<=> sdtasdt0(xu,sdtasdt0(xy,xu)) = sdtasdt0(xy,sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1122])]) ).
fof(f2928,plain,
( spl2_226
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xu) = sdtasdt0(X0,sdtasdt0(xu,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_226])]) ).
fof(f14745,plain,
( spl2_964
<=> sdtasdt0(xu,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_964])]) ).
fof(f14749,plain,
( sdtasdt0(xu,sdtasdt0(xy,xu)) = sdtasdt0(xy,sdtasdt0(xu,xu))
| ~ spl2_2
| ~ spl2_226
| ~ spl2_964 ),
inference(forward_demodulation,[],[f14747,f3548]) ).
fof(f3548,plain,
( sdtasdt0(sdtasdt0(xy,xu),xu) = sdtasdt0(xy,sdtasdt0(xu,xu))
| ~ spl2_2
| ~ spl2_226 ),
inference(resolution,[],[f2929,f84]) ).
fof(f2929,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xu),xu) = sdtasdt0(X0,sdtasdt0(xu,xu)) )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f2928]) ).
fof(f14747,plain,
( sdtasdt0(xu,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xu),xu)
| ~ spl2_964 ),
inference(avatar_component_clause,[],[f14745]) ).
fof(f15784,plain,
( spl2_1121
| ~ spl2_9
| ~ spl2_788 ),
inference(avatar_split_clause,[],[f13770,f13244,f120,f15782]) ).
fof(f15782,plain,
( spl2_1121
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X0),xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1121])]) ).
fof(f13244,plain,
( spl2_788
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xu)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_788])]) ).
fof(f13770,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X0),xu))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_788 ),
inference(resolution,[],[f13245,f121]) ).
fof(f13245,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xu)) )
| ~ spl2_788 ),
inference(avatar_component_clause,[],[f13244]) ).
fof(f15776,plain,
( spl2_1120
| ~ spl2_1
| ~ spl2_227
| ~ spl2_961 ),
inference(avatar_split_clause,[],[f14733,f14729,f2932,f77,f15773]) ).
fof(f15773,plain,
( spl2_1120
<=> sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(xx,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1120])]) ).
fof(f14729,plain,
( spl2_961
<=> sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_961])]) ).
fof(f14733,plain,
( sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(xx,sdtasdt0(xu,xv))
| ~ spl2_1
| ~ spl2_227
| ~ spl2_961 ),
inference(forward_demodulation,[],[f14731,f3566]) ).
fof(f3566,plain,
( sdtasdt0(sdtasdt0(xx,xv),xu) = sdtasdt0(xx,sdtasdt0(xu,xv))
| ~ spl2_1
| ~ spl2_227 ),
inference(resolution,[],[f2933,f79]) ).
fof(f14731,plain,
( sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xv),xu)
| ~ spl2_961 ),
inference(avatar_component_clause,[],[f14729]) ).
fof(f15771,plain,
( spl2_1119
| ~ spl2_1
| ~ spl2_226
| ~ spl2_960 ),
inference(avatar_split_clause,[],[f14727,f14723,f2928,f77,f15768]) ).
fof(f15768,plain,
( spl2_1119
<=> sdtasdt0(xu,sdtasdt0(xx,xu)) = sdtasdt0(xx,sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1119])]) ).
fof(f14723,plain,
( spl2_960
<=> sdtasdt0(xu,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_960])]) ).
fof(f14727,plain,
( sdtasdt0(xu,sdtasdt0(xx,xu)) = sdtasdt0(xx,sdtasdt0(xu,xu))
| ~ spl2_1
| ~ spl2_226
| ~ spl2_960 ),
inference(forward_demodulation,[],[f14725,f3547]) ).
fof(f3547,plain,
( sdtasdt0(sdtasdt0(xx,xu),xu) = sdtasdt0(xx,sdtasdt0(xu,xu))
| ~ spl2_1
| ~ spl2_226 ),
inference(resolution,[],[f2929,f79]) ).
fof(f14725,plain,
( sdtasdt0(xu,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xu),xu)
| ~ spl2_960 ),
inference(avatar_component_clause,[],[f14723]) ).
fof(f15766,plain,
( spl2_1118
| ~ spl2_1
| ~ spl2_225
| ~ spl2_959 ),
inference(avatar_split_clause,[],[f14719,f14715,f2924,f77,f15763]) ).
fof(f15763,plain,
( spl2_1118
<=> sdtasdt0(xy,sdtasdt0(xx,xu)) = sdtasdt0(xx,sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1118])]) ).
fof(f2924,plain,
( spl2_225
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(X0,xy),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_225])]) ).
fof(f14715,plain,
( spl2_959
<=> sdtasdt0(xy,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xy),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_959])]) ).
fof(f14719,plain,
( sdtasdt0(xy,sdtasdt0(xx,xu)) = sdtasdt0(xx,sdtasdt0(xy,xu))
| ~ spl2_1
| ~ spl2_225
| ~ spl2_959 ),
inference(forward_demodulation,[],[f14717,f3526]) ).
fof(f3526,plain,
( sdtasdt0(xx,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xx,xy),xu)
| ~ spl2_1
| ~ spl2_225 ),
inference(resolution,[],[f2925,f79]) ).
fof(f2925,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(X0,xy),xu) )
| ~ spl2_225 ),
inference(avatar_component_clause,[],[f2924]) ).
fof(f14717,plain,
( sdtasdt0(xy,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xy),xu)
| ~ spl2_959 ),
inference(avatar_component_clause,[],[f14715]) ).
fof(f15747,plain,
( spl2_1117
| ~ spl2_9
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f13751,f13240,f120,f15745]) ).
fof(f15745,plain,
( spl2_1117
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X0),xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1117])]) ).
fof(f13240,plain,
( spl2_787
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_787])]) ).
fof(f13751,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X0),xy))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_787 ),
inference(resolution,[],[f13241,f121]) ).
fof(f13241,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xy)) )
| ~ spl2_787 ),
inference(avatar_component_clause,[],[f13240]) ).
fof(f15742,plain,
( spl2_1116
| ~ spl2_3
| ~ spl2_223
| ~ spl2_953 ),
inference(avatar_split_clause,[],[f14688,f14684,f2916,f87,f15739]) ).
fof(f15739,plain,
( spl2_1116
<=> sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(xu,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1116])]) ).
fof(f2916,plain,
( spl2_223
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xy) = sdtasdt0(X0,sdtasdt0(xy,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_223])]) ).
fof(f14684,plain,
( spl2_953
<=> sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xu,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_953])]) ).
fof(f14688,plain,
( sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(xu,sdtasdt0(xy,xv))
| ~ spl2_3
| ~ spl2_223
| ~ spl2_953 ),
inference(forward_demodulation,[],[f14686,f3488]) ).
fof(f3488,plain,
( sdtasdt0(sdtasdt0(xu,xv),xy) = sdtasdt0(xu,sdtasdt0(xy,xv))
| ~ spl2_3
| ~ spl2_223 ),
inference(resolution,[],[f2917,f89]) ).
fof(f2917,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xv),xy) = sdtasdt0(X0,sdtasdt0(xy,xv)) )
| ~ spl2_223 ),
inference(avatar_component_clause,[],[f2916]) ).
fof(f14686,plain,
( sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xu,xv),xy)
| ~ spl2_953 ),
inference(avatar_component_clause,[],[f14684]) ).
fof(f15729,plain,
( spl2_1115
| ~ spl2_2
| ~ spl2_223
| ~ spl2_949 ),
inference(avatar_split_clause,[],[f14665,f14661,f2916,f82,f15726]) ).
fof(f15726,plain,
( spl2_1115
<=> sdtasdt0(xv,sdtasdt0(xy,xy)) = sdtasdt0(xy,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1115])]) ).
fof(f14661,plain,
( spl2_949
<=> sdtasdt0(xv,sdtasdt0(xy,xy)) = sdtasdt0(sdtasdt0(xy,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_949])]) ).
fof(f14665,plain,
( sdtasdt0(xv,sdtasdt0(xy,xy)) = sdtasdt0(xy,sdtasdt0(xy,xv))
| ~ spl2_2
| ~ spl2_223
| ~ spl2_949 ),
inference(forward_demodulation,[],[f14663,f3487]) ).
fof(f3487,plain,
( sdtasdt0(sdtasdt0(xy,xv),xy) = sdtasdt0(xy,sdtasdt0(xy,xv))
| ~ spl2_2
| ~ spl2_223 ),
inference(resolution,[],[f2917,f84]) ).
fof(f14663,plain,
( sdtasdt0(xv,sdtasdt0(xy,xy)) = sdtasdt0(sdtasdt0(xy,xv),xy)
| ~ spl2_949 ),
inference(avatar_component_clause,[],[f14661]) ).
fof(f15724,plain,
( spl2_1114
| ~ spl2_2
| ~ spl2_222
| ~ spl2_948 ),
inference(avatar_split_clause,[],[f14659,f14655,f2912,f82,f15721]) ).
fof(f15721,plain,
( spl2_1114
<=> sdtasdt0(xu,sdtasdt0(xy,xy)) = sdtasdt0(xy,sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1114])]) ).
fof(f2912,plain,
( spl2_222
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xy) = sdtasdt0(X0,sdtasdt0(xy,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_222])]) ).
fof(f14655,plain,
( spl2_948
<=> sdtasdt0(xu,sdtasdt0(xy,xy)) = sdtasdt0(sdtasdt0(xy,xu),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_948])]) ).
fof(f14659,plain,
( sdtasdt0(xu,sdtasdt0(xy,xy)) = sdtasdt0(xy,sdtasdt0(xy,xu))
| ~ spl2_2
| ~ spl2_222
| ~ spl2_948 ),
inference(forward_demodulation,[],[f14657,f3466]) ).
fof(f3466,plain,
( sdtasdt0(sdtasdt0(xy,xu),xy) = sdtasdt0(xy,sdtasdt0(xy,xu))
| ~ spl2_2
| ~ spl2_222 ),
inference(resolution,[],[f2913,f84]) ).
fof(f2913,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xu),xy) = sdtasdt0(X0,sdtasdt0(xy,xu)) )
| ~ spl2_222 ),
inference(avatar_component_clause,[],[f2912]) ).
fof(f14657,plain,
( sdtasdt0(xu,sdtasdt0(xy,xy)) = sdtasdt0(sdtasdt0(xy,xu),xy)
| ~ spl2_948 ),
inference(avatar_component_clause,[],[f14655]) ).
fof(f15715,plain,
( spl2_1113
| ~ spl2_1
| ~ spl2_223
| ~ spl2_945 ),
inference(avatar_split_clause,[],[f14643,f14639,f2916,f77,f15712]) ).
fof(f15712,plain,
( spl2_1113
<=> sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1113])]) ).
fof(f14639,plain,
( spl2_945
<=> sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_945])]) ).
fof(f14643,plain,
( sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtasdt0(xy,xv))
| ~ spl2_1
| ~ spl2_223
| ~ spl2_945 ),
inference(forward_demodulation,[],[f14641,f3486]) ).
fof(f3486,plain,
( sdtasdt0(sdtasdt0(xx,xv),xy) = sdtasdt0(xx,sdtasdt0(xy,xv))
| ~ spl2_1
| ~ spl2_223 ),
inference(resolution,[],[f2917,f79]) ).
fof(f14641,plain,
( sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xv),xy)
| ~ spl2_945 ),
inference(avatar_component_clause,[],[f14639]) ).
fof(f15710,plain,
( spl2_1112
| ~ spl2_1
| ~ spl2_222
| ~ spl2_944 ),
inference(avatar_split_clause,[],[f14637,f14633,f2912,f77,f15707]) ).
fof(f15707,plain,
( spl2_1112
<=> sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1112])]) ).
fof(f14633,plain,
( spl2_944
<=> sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xu),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_944])]) ).
fof(f14637,plain,
( sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtasdt0(xy,xu))
| ~ spl2_1
| ~ spl2_222
| ~ spl2_944 ),
inference(forward_demodulation,[],[f14635,f3465]) ).
fof(f3465,plain,
( sdtasdt0(sdtasdt0(xx,xu),xy) = sdtasdt0(xx,sdtasdt0(xy,xu))
| ~ spl2_1
| ~ spl2_222 ),
inference(resolution,[],[f2913,f79]) ).
fof(f14635,plain,
( sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xu),xy)
| ~ spl2_944 ),
inference(avatar_component_clause,[],[f14633]) ).
fof(f15705,plain,
( spl2_1111
| ~ spl2_9
| ~ spl2_786 ),
inference(avatar_split_clause,[],[f13731,f13236,f120,f15703]) ).
fof(f15703,plain,
( spl2_1111
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X0),xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1111])]) ).
fof(f13236,plain,
( spl2_786
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_786])]) ).
fof(f13731,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(smndt0(X0),xx))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_786 ),
inference(resolution,[],[f13237,f121]) ).
fof(f13237,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xx)) )
| ~ spl2_786 ),
inference(avatar_component_clause,[],[f13236]) ).
fof(f15701,plain,
( spl2_1110
| ~ spl2_1
| ~ spl2_221
| ~ spl2_943 ),
inference(avatar_split_clause,[],[f14631,f14627,f2908,f77,f15698]) ).
fof(f15698,plain,
( spl2_1110
<=> sdtasdt0(xy,sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtasdt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1110])]) ).
fof(f2908,plain,
( spl2_221
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xy) = sdtasdt0(X0,sdtasdt0(xy,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_221])]) ).
fof(f14627,plain,
( spl2_943
<=> sdtasdt0(xy,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xy),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_943])]) ).
fof(f14631,plain,
( sdtasdt0(xy,sdtasdt0(xx,xy)) = sdtasdt0(xx,sdtasdt0(xy,xy))
| ~ spl2_1
| ~ spl2_221
| ~ spl2_943 ),
inference(forward_demodulation,[],[f14629,f3444]) ).
fof(f3444,plain,
( sdtasdt0(sdtasdt0(xx,xy),xy) = sdtasdt0(xx,sdtasdt0(xy,xy))
| ~ spl2_1
| ~ spl2_221 ),
inference(resolution,[],[f2909,f79]) ).
fof(f2909,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xy),xy) = sdtasdt0(X0,sdtasdt0(xy,xy)) )
| ~ spl2_221 ),
inference(avatar_component_clause,[],[f2908]) ).
fof(f14629,plain,
( sdtasdt0(xy,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xy),xy)
| ~ spl2_943 ),
inference(avatar_component_clause,[],[f14627]) ).
fof(f15679,plain,
( spl2_1109
| ~ spl2_3
| ~ spl2_219
| ~ spl2_937 ),
inference(avatar_split_clause,[],[f14598,f14594,f2898,f87,f15676]) ).
fof(f15676,plain,
( spl2_1109
<=> sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(xu,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1109])]) ).
fof(f2898,plain,
( spl2_219
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xx) = sdtasdt0(X0,sdtasdt0(xx,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_219])]) ).
fof(f14594,plain,
( spl2_937
<=> sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xu,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_937])]) ).
fof(f14598,plain,
( sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(xu,sdtasdt0(xx,xv))
| ~ spl2_3
| ~ spl2_219
| ~ spl2_937 ),
inference(forward_demodulation,[],[f14596,f3406]) ).
fof(f3406,plain,
( sdtasdt0(sdtasdt0(xu,xv),xx) = sdtasdt0(xu,sdtasdt0(xx,xv))
| ~ spl2_3
| ~ spl2_219 ),
inference(resolution,[],[f2899,f89]) ).
fof(f2899,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xv),xx) = sdtasdt0(X0,sdtasdt0(xx,xv)) )
| ~ spl2_219 ),
inference(avatar_component_clause,[],[f2898]) ).
fof(f14596,plain,
( sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xu,xv),xx)
| ~ spl2_937 ),
inference(avatar_component_clause,[],[f14594]) ).
fof(f15664,plain,
( spl2_1108
| ~ spl2_9
| ~ spl2_785 ),
inference(avatar_split_clause,[],[f13714,f13232,f120,f15662]) ).
fof(f15662,plain,
( spl2_1108
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(smndt0(X0),xv),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1108])]) ).
fof(f13232,plain,
( spl2_785
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xv),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_785])]) ).
fof(f13714,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(smndt0(X0),xv),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_785 ),
inference(resolution,[],[f13233,f121]) ).
fof(f13233,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xv),sz0z00) )
| ~ spl2_785 ),
inference(avatar_component_clause,[],[f13232]) ).
fof(f15659,plain,
( spl2_1107
| ~ spl2_2
| ~ spl2_219
| ~ spl2_933 ),
inference(avatar_split_clause,[],[f14577,f14573,f2898,f82,f15656]) ).
fof(f15656,plain,
( spl2_1107
<=> sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(xy,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1107])]) ).
fof(f14573,plain,
( spl2_933
<=> sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xy,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_933])]) ).
fof(f14577,plain,
( sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(xy,sdtasdt0(xx,xv))
| ~ spl2_2
| ~ spl2_219
| ~ spl2_933 ),
inference(forward_demodulation,[],[f14575,f3405]) ).
fof(f3405,plain,
( sdtasdt0(sdtasdt0(xy,xv),xx) = sdtasdt0(xy,sdtasdt0(xx,xv))
| ~ spl2_2
| ~ spl2_219 ),
inference(resolution,[],[f2899,f84]) ).
fof(f14575,plain,
( sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xy,xv),xx)
| ~ spl2_933 ),
inference(avatar_component_clause,[],[f14573]) ).
fof(f15653,plain,
( spl2_1106
| ~ spl2_2
| ~ spl2_218
| ~ spl2_932 ),
inference(avatar_split_clause,[],[f14571,f14567,f2894,f82,f15650]) ).
fof(f15650,plain,
( spl2_1106
<=> sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(xy,sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1106])]) ).
fof(f2894,plain,
( spl2_218
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xx) = sdtasdt0(X0,sdtasdt0(xx,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_218])]) ).
fof(f14567,plain,
( spl2_932
<=> sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xy,xu),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_932])]) ).
fof(f14571,plain,
( sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(xy,sdtasdt0(xx,xu))
| ~ spl2_2
| ~ spl2_218
| ~ spl2_932 ),
inference(forward_demodulation,[],[f14569,f3386]) ).
fof(f3386,plain,
( sdtasdt0(sdtasdt0(xy,xu),xx) = sdtasdt0(xy,sdtasdt0(xx,xu))
| ~ spl2_2
| ~ spl2_218 ),
inference(resolution,[],[f2895,f84]) ).
fof(f2895,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xu),xx) = sdtasdt0(X0,sdtasdt0(xx,xu)) )
| ~ spl2_218 ),
inference(avatar_component_clause,[],[f2894]) ).
fof(f14569,plain,
( sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xy,xu),xx)
| ~ spl2_932 ),
inference(avatar_component_clause,[],[f14567]) ).
fof(f15642,plain,
( spl2_1105
| ~ spl2_1
| ~ spl2_219
| ~ spl2_929 ),
inference(avatar_split_clause,[],[f14553,f14549,f2898,f77,f15639]) ).
fof(f15639,plain,
( spl2_1105
<=> sdtasdt0(xv,sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1105])]) ).
fof(f14549,plain,
( spl2_929
<=> sdtasdt0(xv,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_929])]) ).
fof(f14553,plain,
( sdtasdt0(xv,sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtasdt0(xx,xv))
| ~ spl2_1
| ~ spl2_219
| ~ spl2_929 ),
inference(forward_demodulation,[],[f14551,f3404]) ).
fof(f3404,plain,
( sdtasdt0(sdtasdt0(xx,xv),xx) = sdtasdt0(xx,sdtasdt0(xx,xv))
| ~ spl2_1
| ~ spl2_219 ),
inference(resolution,[],[f2899,f79]) ).
fof(f14551,plain,
( sdtasdt0(xv,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xv),xx)
| ~ spl2_929 ),
inference(avatar_component_clause,[],[f14549]) ).
fof(f15637,plain,
( spl2_1104
| ~ spl2_1
| ~ spl2_218
| ~ spl2_928 ),
inference(avatar_split_clause,[],[f14547,f14543,f2894,f77,f15634]) ).
fof(f15634,plain,
( spl2_1104
<=> sdtasdt0(xu,sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1104])]) ).
fof(f14543,plain,
( spl2_928
<=> sdtasdt0(xu,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xu),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_928])]) ).
fof(f14547,plain,
( sdtasdt0(xu,sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtasdt0(xx,xu))
| ~ spl2_1
| ~ spl2_218
| ~ spl2_928 ),
inference(forward_demodulation,[],[f14545,f3385]) ).
fof(f3385,plain,
( sdtasdt0(sdtasdt0(xx,xu),xx) = sdtasdt0(xx,sdtasdt0(xx,xu))
| ~ spl2_1
| ~ spl2_218 ),
inference(resolution,[],[f2895,f79]) ).
fof(f14545,plain,
( sdtasdt0(xu,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xu),xx)
| ~ spl2_928 ),
inference(avatar_component_clause,[],[f14543]) ).
fof(f15632,plain,
( spl2_1103
| ~ spl2_1
| ~ spl2_217
| ~ spl2_927 ),
inference(avatar_split_clause,[],[f14541,f14537,f2890,f77,f15629]) ).
fof(f15629,plain,
( spl2_1103
<=> sdtasdt0(xy,sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1103])]) ).
fof(f2890,plain,
( spl2_217
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xx) = sdtasdt0(X0,sdtasdt0(xx,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_217])]) ).
fof(f14537,plain,
( spl2_927
<=> sdtasdt0(xy,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xy),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_927])]) ).
fof(f14541,plain,
( sdtasdt0(xy,sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtasdt0(xx,xy))
| ~ spl2_1
| ~ spl2_217
| ~ spl2_927 ),
inference(forward_demodulation,[],[f14539,f3364]) ).
fof(f3364,plain,
( sdtasdt0(sdtasdt0(xx,xy),xx) = sdtasdt0(xx,sdtasdt0(xx,xy))
| ~ spl2_1
| ~ spl2_217 ),
inference(resolution,[],[f2891,f79]) ).
fof(f2891,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xy),xx) = sdtasdt0(X0,sdtasdt0(xx,xy)) )
| ~ spl2_217 ),
inference(avatar_component_clause,[],[f2890]) ).
fof(f14539,plain,
( sdtasdt0(xy,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xy),xx)
| ~ spl2_927 ),
inference(avatar_component_clause,[],[f14537]) ).
fof(f15621,plain,
( spl2_1102
| ~ spl2_9
| ~ spl2_784 ),
inference(avatar_split_clause,[],[f13696,f13228,f120,f15619]) ).
fof(f15619,plain,
( spl2_1102
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(smndt0(X0),xu),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1102])]) ).
fof(f13228,plain,
( spl2_784
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xu),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_784])]) ).
fof(f13696,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(smndt0(X0),xu),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_784 ),
inference(resolution,[],[f13229,f121]) ).
fof(f13229,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xu),sz0z00) )
| ~ spl2_784 ),
inference(avatar_component_clause,[],[f13228]) ).
fof(f15611,plain,
( spl2_1101
| ~ spl2_2
| ~ spl2_215
| ~ spl2_920 ),
inference(avatar_split_clause,[],[f14505,f14501,f2882,f82,f15608]) ).
fof(f15608,plain,
( spl2_1101
<=> sdtpldt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(xy,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1101])]) ).
fof(f2882,plain,
( spl2_215
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xv) = sdtpldt0(X0,sdtpldt0(xv,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_215])]) ).
fof(f14501,plain,
( spl2_920
<=> sdtpldt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xy,xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_920])]) ).
fof(f14505,plain,
( sdtpldt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(xy,sdtpldt0(xv,xv))
| ~ spl2_2
| ~ spl2_215
| ~ spl2_920 ),
inference(forward_demodulation,[],[f14503,f3326]) ).
fof(f3326,plain,
( sdtpldt0(sdtpldt0(xy,xv),xv) = sdtpldt0(xy,sdtpldt0(xv,xv))
| ~ spl2_2
| ~ spl2_215 ),
inference(resolution,[],[f2883,f84]) ).
fof(f2883,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xv),xv) = sdtpldt0(X0,sdtpldt0(xv,xv)) )
| ~ spl2_215 ),
inference(avatar_component_clause,[],[f2882]) ).
fof(f14503,plain,
( sdtpldt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xy,xv),xv)
| ~ spl2_920 ),
inference(avatar_component_clause,[],[f14501]) ).
fof(f15600,plain,
( spl2_1100
| ~ spl2_1
| ~ spl2_215
| ~ spl2_915 ),
inference(avatar_split_clause,[],[f14478,f14474,f2882,f77,f15597]) ).
fof(f15597,plain,
( spl2_1100
<=> sdtpldt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(xx,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1100])]) ).
fof(f14474,plain,
( spl2_915
<=> sdtpldt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_915])]) ).
fof(f14478,plain,
( sdtpldt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(xx,sdtpldt0(xv,xv))
| ~ spl2_1
| ~ spl2_215
| ~ spl2_915 ),
inference(forward_demodulation,[],[f14476,f3325]) ).
fof(f3325,plain,
( sdtpldt0(sdtpldt0(xx,xv),xv) = sdtpldt0(xx,sdtpldt0(xv,xv))
| ~ spl2_1
| ~ spl2_215 ),
inference(resolution,[],[f2883,f79]) ).
fof(f14476,plain,
( sdtpldt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xv),xv)
| ~ spl2_915 ),
inference(avatar_component_clause,[],[f14474]) ).
fof(f15593,plain,
( spl2_1099
| ~ spl2_1
| ~ spl2_213
| ~ spl2_913 ),
inference(avatar_split_clause,[],[f14467,f14463,f2874,f77,f15590]) ).
fof(f15590,plain,
( spl2_1099
<=> sdtpldt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(xx,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1099])]) ).
fof(f2874,plain,
( spl2_213
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(X0,xy),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_213])]) ).
fof(f14463,plain,
( spl2_913
<=> sdtpldt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xy),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_913])]) ).
fof(f14467,plain,
( sdtpldt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(xx,sdtpldt0(xy,xv))
| ~ spl2_1
| ~ spl2_213
| ~ spl2_913 ),
inference(forward_demodulation,[],[f14465,f3287]) ).
fof(f3287,plain,
( sdtpldt0(xx,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xx,xy),xv)
| ~ spl2_1
| ~ spl2_213 ),
inference(resolution,[],[f2875,f79]) ).
fof(f2875,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(X0,xy),xv) )
| ~ spl2_213 ),
inference(avatar_component_clause,[],[f2874]) ).
fof(f14465,plain,
( sdtpldt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xy),xv)
| ~ spl2_913 ),
inference(avatar_component_clause,[],[f14463]) ).
fof(f15588,plain,
( spl2_1098
| ~ spl2_9
| ~ spl2_783 ),
inference(avatar_split_clause,[],[f13677,f13224,f120,f15586]) ).
fof(f15586,plain,
( spl2_1098
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(smndt0(X0),xy),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1098])]) ).
fof(f13224,plain,
( spl2_783
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xy),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_783])]) ).
fof(f13677,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(smndt0(X0),xy),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_783 ),
inference(resolution,[],[f13225,f121]) ).
fof(f13225,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xy),sz0z00) )
| ~ spl2_783 ),
inference(avatar_component_clause,[],[f13224]) ).
fof(f15582,plain,
( spl2_1097
| ~ spl2_3
| ~ spl2_215
| ~ spl2_837
| ~ spl2_911 ),
inference(avatar_split_clause,[],[f14456,f14452,f14069,f2882,f87,f15579]) ).
fof(f15579,plain,
( spl2_1097
<=> sdtpldt0(sdtpldt0(xv,xv),xu) = sdtpldt0(xu,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1097])]) ).
fof(f14069,plain,
( spl2_837
<=> sdtpldt0(sdtpldt0(xu,xv),xv) = sdtpldt0(xv,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_837])]) ).
fof(f14452,plain,
( spl2_911
<=> sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xv,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_911])]) ).
fof(f14456,plain,
( sdtpldt0(sdtpldt0(xv,xv),xu) = sdtpldt0(xu,sdtpldt0(xv,xv))
| ~ spl2_3
| ~ spl2_215
| ~ spl2_837
| ~ spl2_911 ),
inference(forward_demodulation,[],[f14454,f14073]) ).
fof(f14073,plain,
( sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(xu,sdtpldt0(xv,xv))
| ~ spl2_3
| ~ spl2_215
| ~ spl2_837 ),
inference(forward_demodulation,[],[f14071,f3327]) ).
fof(f3327,plain,
( sdtpldt0(sdtpldt0(xu,xv),xv) = sdtpldt0(xu,sdtpldt0(xv,xv))
| ~ spl2_3
| ~ spl2_215 ),
inference(resolution,[],[f2883,f89]) ).
fof(f14071,plain,
( sdtpldt0(sdtpldt0(xu,xv),xv) = sdtpldt0(xv,sdtpldt0(xu,xv))
| ~ spl2_837 ),
inference(avatar_component_clause,[],[f14069]) ).
fof(f14454,plain,
( sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xv,xv),xu)
| ~ spl2_911 ),
inference(avatar_component_clause,[],[f14452]) ).
fof(f15567,plain,
( spl2_1096
| ~ spl2_2
| ~ spl2_210
| ~ spl2_904 ),
inference(avatar_split_clause,[],[f14420,f14416,f2860,f82,f15564]) ).
fof(f15564,plain,
( spl2_1096
<=> sdtpldt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(xy,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1096])]) ).
fof(f2860,plain,
( spl2_210
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xu) = sdtpldt0(X0,sdtpldt0(xu,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_210])]) ).
fof(f14416,plain,
( spl2_904
<=> sdtpldt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xy,xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_904])]) ).
fof(f14420,plain,
( sdtpldt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(xy,sdtpldt0(xu,xu))
| ~ spl2_2
| ~ spl2_210
| ~ spl2_904 ),
inference(forward_demodulation,[],[f14418,f3228]) ).
fof(f3228,plain,
( sdtpldt0(sdtpldt0(xy,xu),xu) = sdtpldt0(xy,sdtpldt0(xu,xu))
| ~ spl2_2
| ~ spl2_210 ),
inference(resolution,[],[f2861,f84]) ).
fof(f2861,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xu),xu) = sdtpldt0(X0,sdtpldt0(xu,xu)) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f2860]) ).
fof(f14418,plain,
( sdtpldt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xy,xu),xu)
| ~ spl2_904 ),
inference(avatar_component_clause,[],[f14416]) ).
fof(f15558,plain,
( spl2_1095
| ~ spl2_9
| ~ spl2_782 ),
inference(avatar_split_clause,[],[f13657,f13220,f120,f15556]) ).
fof(f15556,plain,
( spl2_1095
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(smndt0(X0),xx),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1095])]) ).
fof(f13220,plain,
( spl2_782
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xx),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_782])]) ).
fof(f13657,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtpldt0(smndt0(X0),xx),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_782 ),
inference(resolution,[],[f13221,f121]) ).
fof(f13221,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xx),sz0z00) )
| ~ spl2_782 ),
inference(avatar_component_clause,[],[f13220]) ).
fof(f15552,plain,
( spl2_1094
| ~ spl2_1
| ~ spl2_210
| ~ spl2_900 ),
inference(avatar_split_clause,[],[f14399,f14395,f2860,f77,f15549]) ).
fof(f15549,plain,
( spl2_1094
<=> sdtpldt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(xx,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1094])]) ).
fof(f14395,plain,
( spl2_900
<=> sdtpldt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_900])]) ).
fof(f14399,plain,
( sdtpldt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(xx,sdtpldt0(xu,xu))
| ~ spl2_1
| ~ spl2_210
| ~ spl2_900 ),
inference(forward_demodulation,[],[f14397,f3227]) ).
fof(f3227,plain,
( sdtpldt0(sdtpldt0(xx,xu),xu) = sdtpldt0(xx,sdtpldt0(xu,xu))
| ~ spl2_1
| ~ spl2_210 ),
inference(resolution,[],[f2861,f79]) ).
fof(f14397,plain,
( sdtpldt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xu),xu)
| ~ spl2_900 ),
inference(avatar_component_clause,[],[f14395]) ).
fof(f15547,plain,
( spl2_1093
| ~ spl2_1
| ~ spl2_209
| ~ spl2_899 ),
inference(avatar_split_clause,[],[f14393,f14389,f2856,f77,f15544]) ).
fof(f15544,plain,
( spl2_1093
<=> sdtpldt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(xx,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1093])]) ).
fof(f2856,plain,
( spl2_209
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(X0,xy),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_209])]) ).
fof(f14389,plain,
( spl2_899
<=> sdtpldt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xy),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_899])]) ).
fof(f14393,plain,
( sdtpldt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(xx,sdtpldt0(xy,xu))
| ~ spl2_1
| ~ spl2_209
| ~ spl2_899 ),
inference(forward_demodulation,[],[f14391,f3207]) ).
fof(f3207,plain,
( sdtpldt0(xx,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xx,xy),xu)
| ~ spl2_1
| ~ spl2_209 ),
inference(resolution,[],[f2857,f79]) ).
fof(f2857,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(X0,xy),xu) )
| ~ spl2_209 ),
inference(avatar_component_clause,[],[f2856]) ).
fof(f14391,plain,
( sdtpldt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xy),xu)
| ~ spl2_899 ),
inference(avatar_component_clause,[],[f14389]) ).
fof(f15524,plain,
( spl2_1092
| ~ spl2_9
| ~ spl2_781 ),
inference(avatar_split_clause,[],[f13640,f13216,f120,f15522]) ).
fof(f15522,plain,
( spl2_1092
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X0),xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1092])]) ).
fof(f13216,plain,
( spl2_781
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xv)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_781])]) ).
fof(f13640,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X0),xv))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_781 ),
inference(resolution,[],[f13217,f121]) ).
fof(f13217,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xv)) )
| ~ spl2_781 ),
inference(avatar_component_clause,[],[f13216]) ).
fof(f15516,plain,
( spl2_1091
| ~ spl2_2
| ~ spl2_207
| ~ spl2_888 ),
inference(avatar_split_clause,[],[f14337,f14333,f2848,f82,f15513]) ).
fof(f15513,plain,
( spl2_1091
<=> sdtpldt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(xy,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1091])]) ).
fof(f2848,plain,
( spl2_207
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xy) = sdtpldt0(X0,sdtpldt0(xy,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_207])]) ).
fof(f14333,plain,
( spl2_888
<=> sdtpldt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(sdtpldt0(xy,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_888])]) ).
fof(f14337,plain,
( sdtpldt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(xy,sdtpldt0(xy,xv))
| ~ spl2_2
| ~ spl2_207
| ~ spl2_888 ),
inference(forward_demodulation,[],[f14335,f3168]) ).
fof(f3168,plain,
( sdtpldt0(sdtpldt0(xy,xv),xy) = sdtpldt0(xy,sdtpldt0(xy,xv))
| ~ spl2_2
| ~ spl2_207 ),
inference(resolution,[],[f2849,f84]) ).
fof(f2849,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xv),xy) = sdtpldt0(X0,sdtpldt0(xy,xv)) )
| ~ spl2_207 ),
inference(avatar_component_clause,[],[f2848]) ).
fof(f14335,plain,
( sdtpldt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(sdtpldt0(xy,xv),xy)
| ~ spl2_888 ),
inference(avatar_component_clause,[],[f14333]) ).
fof(f15511,plain,
( spl2_1090
| ~ spl2_2
| ~ spl2_206
| ~ spl2_887 ),
inference(avatar_split_clause,[],[f14331,f14327,f2844,f82,f15508]) ).
fof(f15508,plain,
( spl2_1090
<=> sdtpldt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(xy,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1090])]) ).
fof(f2844,plain,
( spl2_206
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xy) = sdtpldt0(X0,sdtpldt0(xy,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_206])]) ).
fof(f14327,plain,
( spl2_887
<=> sdtpldt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(sdtpldt0(xy,xu),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_887])]) ).
fof(f14331,plain,
( sdtpldt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(xy,sdtpldt0(xy,xu))
| ~ spl2_2
| ~ spl2_206
| ~ spl2_887 ),
inference(forward_demodulation,[],[f14329,f3148]) ).
fof(f3148,plain,
( sdtpldt0(sdtpldt0(xy,xu),xy) = sdtpldt0(xy,sdtpldt0(xy,xu))
| ~ spl2_2
| ~ spl2_206 ),
inference(resolution,[],[f2845,f84]) ).
fof(f2845,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xu),xy) = sdtpldt0(X0,sdtpldt0(xy,xu)) )
| ~ spl2_206 ),
inference(avatar_component_clause,[],[f2844]) ).
fof(f14329,plain,
( sdtpldt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(sdtpldt0(xy,xu),xy)
| ~ spl2_887 ),
inference(avatar_component_clause,[],[f14327]) ).
fof(f15502,plain,
( spl2_1089
| ~ spl2_1
| ~ spl2_207
| ~ spl2_883 ),
inference(avatar_split_clause,[],[f14310,f14306,f2848,f77,f15499]) ).
fof(f15499,plain,
( spl2_1089
<=> sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(xx,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1089])]) ).
fof(f14306,plain,
( spl2_883
<=> sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_883])]) ).
fof(f14310,plain,
( sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(xx,sdtpldt0(xy,xv))
| ~ spl2_1
| ~ spl2_207
| ~ spl2_883 ),
inference(forward_demodulation,[],[f14308,f3167]) ).
fof(f3167,plain,
( sdtpldt0(sdtpldt0(xx,xv),xy) = sdtpldt0(xx,sdtpldt0(xy,xv))
| ~ spl2_1
| ~ spl2_207 ),
inference(resolution,[],[f2849,f79]) ).
fof(f14308,plain,
( sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xv),xy)
| ~ spl2_883 ),
inference(avatar_component_clause,[],[f14306]) ).
fof(f15497,plain,
( spl2_1088
| ~ spl2_1
| ~ spl2_206
| ~ spl2_882 ),
inference(avatar_split_clause,[],[f14304,f14300,f2844,f77,f15494]) ).
fof(f15494,plain,
( spl2_1088
<=> sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(xx,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1088])]) ).
fof(f14300,plain,
( spl2_882
<=> sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xu),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_882])]) ).
fof(f14304,plain,
( sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(xx,sdtpldt0(xy,xu))
| ~ spl2_1
| ~ spl2_206
| ~ spl2_882 ),
inference(forward_demodulation,[],[f14302,f3147]) ).
fof(f3147,plain,
( sdtpldt0(sdtpldt0(xx,xu),xy) = sdtpldt0(xx,sdtpldt0(xy,xu))
| ~ spl2_1
| ~ spl2_206 ),
inference(resolution,[],[f2845,f79]) ).
fof(f14302,plain,
( sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xu),xy)
| ~ spl2_882 ),
inference(avatar_component_clause,[],[f14300]) ).
fof(f15492,plain,
( spl2_1087
| ~ spl2_1
| ~ spl2_205
| ~ spl2_881 ),
inference(avatar_split_clause,[],[f14298,f14294,f2840,f77,f15489]) ).
fof(f15489,plain,
( spl2_1087
<=> sdtpldt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(xx,sdtpldt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1087])]) ).
fof(f2840,plain,
( spl2_205
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xy) = sdtpldt0(X0,sdtpldt0(xy,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_205])]) ).
fof(f14294,plain,
( spl2_881
<=> sdtpldt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xy),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_881])]) ).
fof(f14298,plain,
( sdtpldt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(xx,sdtpldt0(xy,xy))
| ~ spl2_1
| ~ spl2_205
| ~ spl2_881 ),
inference(forward_demodulation,[],[f14296,f3128]) ).
fof(f3128,plain,
( sdtpldt0(sdtpldt0(xx,xy),xy) = sdtpldt0(xx,sdtpldt0(xy,xy))
| ~ spl2_1
| ~ spl2_205 ),
inference(resolution,[],[f2841,f79]) ).
fof(f2841,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xy),xy) = sdtpldt0(X0,sdtpldt0(xy,xy)) )
| ~ spl2_205 ),
inference(avatar_component_clause,[],[f2840]) ).
fof(f14296,plain,
( sdtpldt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xy),xy)
| ~ spl2_881 ),
inference(avatar_component_clause,[],[f14294]) ).
fof(f15485,plain,
( spl2_1086
| ~ spl2_9
| ~ spl2_780 ),
inference(avatar_split_clause,[],[f13622,f13212,f120,f15483]) ).
fof(f15483,plain,
( spl2_1086
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X0),xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1086])]) ).
fof(f13212,plain,
( spl2_780
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xu)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_780])]) ).
fof(f13622,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X0),xu))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_780 ),
inference(resolution,[],[f13213,f121]) ).
fof(f13213,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xu)) )
| ~ spl2_780 ),
inference(avatar_component_clause,[],[f13212]) ).
fof(f15456,plain,
( spl2_1085
| ~ spl2_2
| ~ spl2_203
| ~ spl2_870 ),
inference(avatar_split_clause,[],[f14242,f14238,f2832,f82,f15453]) ).
fof(f15453,plain,
( spl2_1085
<=> sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(xy,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1085])]) ).
fof(f2832,plain,
( spl2_203
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xx) = sdtpldt0(X0,sdtpldt0(xx,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_203])]) ).
fof(f14238,plain,
( spl2_870
<=> sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xy,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_870])]) ).
fof(f14242,plain,
( sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(xy,sdtpldt0(xx,xv))
| ~ spl2_2
| ~ spl2_203
| ~ spl2_870 ),
inference(forward_demodulation,[],[f14240,f3090]) ).
fof(f3090,plain,
( sdtpldt0(sdtpldt0(xy,xv),xx) = sdtpldt0(xy,sdtpldt0(xx,xv))
| ~ spl2_2
| ~ spl2_203 ),
inference(resolution,[],[f2833,f84]) ).
fof(f2833,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xv),xx) = sdtpldt0(X0,sdtpldt0(xx,xv)) )
| ~ spl2_203 ),
inference(avatar_component_clause,[],[f2832]) ).
fof(f14240,plain,
( sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xy,xv),xx)
| ~ spl2_870 ),
inference(avatar_component_clause,[],[f14238]) ).
fof(f15450,plain,
( spl2_1084
| ~ spl2_2
| ~ spl2_202
| ~ spl2_869 ),
inference(avatar_split_clause,[],[f14236,f14232,f2828,f82,f15447]) ).
fof(f15447,plain,
( spl2_1084
<=> sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(xy,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1084])]) ).
fof(f2828,plain,
( spl2_202
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xx) = sdtpldt0(X0,sdtpldt0(xx,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_202])]) ).
fof(f14232,plain,
( spl2_869
<=> sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xy,xu),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_869])]) ).
fof(f14236,plain,
( sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(xy,sdtpldt0(xx,xu))
| ~ spl2_2
| ~ spl2_202
| ~ spl2_869 ),
inference(forward_demodulation,[],[f14234,f3068]) ).
fof(f3068,plain,
( sdtpldt0(sdtpldt0(xy,xu),xx) = sdtpldt0(xy,sdtpldt0(xx,xu))
| ~ spl2_2
| ~ spl2_202 ),
inference(resolution,[],[f2829,f84]) ).
fof(f2829,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xu),xx) = sdtpldt0(X0,sdtpldt0(xx,xu)) )
| ~ spl2_202 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f14234,plain,
( sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xy,xu),xx)
| ~ spl2_869 ),
inference(avatar_component_clause,[],[f14232]) ).
fof(f15445,plain,
( spl2_1083
| ~ spl2_9
| ~ spl2_779 ),
inference(avatar_split_clause,[],[f13603,f13208,f120,f15443]) ).
fof(f15443,plain,
( spl2_1083
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X0),xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1083])]) ).
fof(f13208,plain,
( spl2_779
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_779])]) ).
fof(f13603,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X0),xy))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_779 ),
inference(resolution,[],[f13209,f121]) ).
fof(f13209,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xy)) )
| ~ spl2_779 ),
inference(avatar_component_clause,[],[f13208]) ).
fof(f15435,plain,
( spl2_1082
| ~ spl2_1
| ~ spl2_203
| ~ spl2_866 ),
inference(avatar_split_clause,[],[f14220,f14216,f2832,f77,f15432]) ).
fof(f15432,plain,
( spl2_1082
<=> sdtpldt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(xx,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1082])]) ).
fof(f14216,plain,
( spl2_866
<=> sdtpldt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_866])]) ).
fof(f14220,plain,
( sdtpldt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(xx,sdtpldt0(xx,xv))
| ~ spl2_1
| ~ spl2_203
| ~ spl2_866 ),
inference(forward_demodulation,[],[f14218,f3089]) ).
fof(f3089,plain,
( sdtpldt0(sdtpldt0(xx,xv),xx) = sdtpldt0(xx,sdtpldt0(xx,xv))
| ~ spl2_1
| ~ spl2_203 ),
inference(resolution,[],[f2833,f79]) ).
fof(f14218,plain,
( sdtpldt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xv),xx)
| ~ spl2_866 ),
inference(avatar_component_clause,[],[f14216]) ).
fof(f15430,plain,
( spl2_1081
| ~ spl2_1
| ~ spl2_202
| ~ spl2_865 ),
inference(avatar_split_clause,[],[f14214,f14210,f2828,f77,f15427]) ).
fof(f15427,plain,
( spl2_1081
<=> sdtpldt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(xx,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1081])]) ).
fof(f14210,plain,
( spl2_865
<=> sdtpldt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xu),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_865])]) ).
fof(f14214,plain,
( sdtpldt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(xx,sdtpldt0(xx,xu))
| ~ spl2_1
| ~ spl2_202
| ~ spl2_865 ),
inference(forward_demodulation,[],[f14212,f3067]) ).
fof(f3067,plain,
( sdtpldt0(sdtpldt0(xx,xu),xx) = sdtpldt0(xx,sdtpldt0(xx,xu))
| ~ spl2_1
| ~ spl2_202 ),
inference(resolution,[],[f2829,f79]) ).
fof(f14212,plain,
( sdtpldt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xu),xx)
| ~ spl2_865 ),
inference(avatar_component_clause,[],[f14210]) ).
fof(f15425,plain,
( spl2_1080
| ~ spl2_1
| ~ spl2_201
| ~ spl2_863 ),
inference(avatar_split_clause,[],[f14203,f14199,f2824,f77,f15422]) ).
fof(f15422,plain,
( spl2_1080
<=> sdtpldt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(xx,sdtpldt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1080])]) ).
fof(f2824,plain,
( spl2_201
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xx) = sdtpldt0(X0,sdtpldt0(xx,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_201])]) ).
fof(f14199,plain,
( spl2_863
<=> sdtpldt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xy),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_863])]) ).
fof(f14203,plain,
( sdtpldt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(xx,sdtpldt0(xx,xy))
| ~ spl2_1
| ~ spl2_201
| ~ spl2_863 ),
inference(forward_demodulation,[],[f14201,f3047]) ).
fof(f3047,plain,
( sdtpldt0(sdtpldt0(xx,xy),xx) = sdtpldt0(xx,sdtpldt0(xx,xy))
| ~ spl2_1
| ~ spl2_201 ),
inference(resolution,[],[f2825,f79]) ).
fof(f2825,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xy),xx) = sdtpldt0(X0,sdtpldt0(xx,xy)) )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f2824]) ).
fof(f14201,plain,
( sdtpldt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xy),xx)
| ~ spl2_863 ),
inference(avatar_component_clause,[],[f14199]) ).
fof(f15353,plain,
( spl2_1079
| ~ spl2_9
| ~ spl2_778 ),
inference(avatar_split_clause,[],[f13583,f13204,f120,f15351]) ).
fof(f15351,plain,
( spl2_1079
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X0),xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1079])]) ).
fof(f13204,plain,
( spl2_778
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_778])]) ).
fof(f13583,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(smndt0(X0),xx))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_778 ),
inference(resolution,[],[f13205,f121]) ).
fof(f13205,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xx)) )
| ~ spl2_778 ),
inference(avatar_component_clause,[],[f13204]) ).
fof(f15329,plain,
( spl2_1078
| ~ spl2_9
| ~ spl2_777 ),
inference(avatar_split_clause,[],[f13566,f13200,f120,f15327]) ).
fof(f15327,plain,
( spl2_1078
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xv),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1078])]) ).
fof(f13200,plain,
( spl2_777
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xv),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_777])]) ).
fof(f13566,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xv),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_777 ),
inference(resolution,[],[f13201,f121]) ).
fof(f13201,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xv),sz0z00) )
| ~ spl2_777 ),
inference(avatar_component_clause,[],[f13200]) ).
fof(f15315,plain,
( spl2_1077
| ~ spl2_3
| ~ spl2_215
| ~ spl2_837 ),
inference(avatar_split_clause,[],[f14073,f14069,f2882,f87,f15312]) ).
fof(f15304,plain,
( spl2_1076
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_115
| ~ spl2_128
| ~ spl2_577 ),
inference(avatar_split_clause,[],[f10305,f9384,f1616,f1224,f1174,f160,f102,f15301]) ).
fof(f15301,plain,
( spl2_1076
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1076])]) ).
fof(f9384,plain,
( spl2_577
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_577])]) ).
fof(f10305,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_115
| ~ spl2_128
| ~ spl2_577 ),
inference(forward_demodulation,[],[f10304,f1226]) ).
fof(f10304,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_128
| ~ spl2_577 ),
inference(forward_demodulation,[],[f10303,f1630]) ).
fof(f1630,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_18
| ~ spl2_128 ),
inference(resolution,[],[f1618,f161]) ).
fof(f10303,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_577 ),
inference(forward_demodulation,[],[f10291,f1176]) ).
fof(f10291,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xv)) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_577 ),
inference(resolution,[],[f9385,f104]) ).
fof(f9385,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_577 ),
inference(avatar_component_clause,[],[f9384]) ).
fof(f15299,plain,
( spl2_1075
| ~ spl2_9
| ~ spl2_776 ),
inference(avatar_split_clause,[],[f13548,f13196,f120,f15297]) ).
fof(f15297,plain,
( spl2_1075
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xu),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1075])]) ).
fof(f13196,plain,
( spl2_776
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xu),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_776])]) ).
fof(f13548,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xu),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_776 ),
inference(resolution,[],[f13197,f121]) ).
fof(f13197,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xu),sz0z00) )
| ~ spl2_776 ),
inference(avatar_component_clause,[],[f13196]) ).
fof(f15295,plain,
( spl2_1074
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_115
| ~ spl2_128
| ~ spl2_576 ),
inference(avatar_split_clause,[],[f10284,f9380,f1616,f1224,f1149,f160,f102,f15292]) ).
fof(f15292,plain,
( spl2_1074
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1074])]) ).
fof(f9380,plain,
( spl2_576
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_576])]) ).
fof(f10284,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_115
| ~ spl2_128
| ~ spl2_576 ),
inference(forward_demodulation,[],[f10283,f1226]) ).
fof(f10283,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_128
| ~ spl2_576 ),
inference(forward_demodulation,[],[f10282,f1630]) ).
fof(f10282,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_576 ),
inference(forward_demodulation,[],[f10270,f1151]) ).
fof(f10270,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xu)) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_576 ),
inference(resolution,[],[f9381,f104]) ).
fof(f9381,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_576 ),
inference(avatar_component_clause,[],[f9380]) ).
fof(f15290,plain,
( spl2_1073
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_115
| ~ spl2_128
| ~ spl2_575 ),
inference(avatar_split_clause,[],[f10262,f9376,f1616,f1224,f1015,f160,f102,f15287]) ).
fof(f15287,plain,
( spl2_1073
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1073])]) ).
fof(f9376,plain,
( spl2_575
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_575])]) ).
fof(f10262,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_115
| ~ spl2_128
| ~ spl2_575 ),
inference(forward_demodulation,[],[f10261,f1226]) ).
fof(f10261,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_128
| ~ spl2_575 ),
inference(forward_demodulation,[],[f10260,f1630]) ).
fof(f10260,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_575 ),
inference(forward_demodulation,[],[f10248,f1017]) ).
fof(f10248,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xy)) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_575 ),
inference(resolution,[],[f9377,f104]) ).
fof(f9377,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_575 ),
inference(avatar_component_clause,[],[f9376]) ).
fof(f15285,plain,
( spl2_1072
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_115
| ~ spl2_128
| ~ spl2_574 ),
inference(avatar_split_clause,[],[f10239,f9372,f1616,f1224,f635,f160,f102,f15282]) ).
fof(f15282,plain,
( spl2_1072
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1072])]) ).
fof(f9372,plain,
( spl2_574
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_574])]) ).
fof(f10239,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_115
| ~ spl2_128
| ~ spl2_574 ),
inference(forward_demodulation,[],[f10238,f1226]) ).
fof(f10238,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_128
| ~ spl2_574 ),
inference(forward_demodulation,[],[f10237,f1630]) ).
fof(f10237,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_574 ),
inference(forward_demodulation,[],[f10225,f637]) ).
fof(f10225,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xx)) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_574 ),
inference(resolution,[],[f9373,f104]) ).
fof(f9373,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_574 ),
inference(avatar_component_clause,[],[f9372]) ).
fof(f15280,plain,
( spl2_1071
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_115
| ~ spl2_127
| ~ spl2_558 ),
inference(avatar_split_clause,[],[f10038,f9241,f1611,f1224,f1174,f160,f102,f15277]) ).
fof(f15277,plain,
( spl2_1071
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1071])]) ).
fof(f9241,plain,
( spl2_558
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_558])]) ).
fof(f10038,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_115
| ~ spl2_127
| ~ spl2_558 ),
inference(forward_demodulation,[],[f10037,f1226]) ).
fof(f10037,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_127
| ~ spl2_558 ),
inference(forward_demodulation,[],[f10036,f1623]) ).
fof(f1623,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_18
| ~ spl2_127 ),
inference(resolution,[],[f1613,f161]) ).
fof(f10036,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_558 ),
inference(forward_demodulation,[],[f10024,f1176]) ).
fof(f10024,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xv)) = sdtasdt0(sz0z00,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_558 ),
inference(resolution,[],[f9242,f104]) ).
fof(f9242,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_558 ),
inference(avatar_component_clause,[],[f9241]) ).
fof(f15275,plain,
( spl2_1070
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_115
| ~ spl2_127
| ~ spl2_557 ),
inference(avatar_split_clause,[],[f10010,f9237,f1611,f1224,f1149,f160,f102,f15272]) ).
fof(f15272,plain,
( spl2_1070
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1070])]) ).
fof(f9237,plain,
( spl2_557
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_557])]) ).
fof(f10010,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_115
| ~ spl2_127
| ~ spl2_557 ),
inference(forward_demodulation,[],[f10009,f1226]) ).
fof(f10009,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_127
| ~ spl2_557 ),
inference(forward_demodulation,[],[f10008,f1623]) ).
fof(f10008,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_557 ),
inference(forward_demodulation,[],[f9996,f1151]) ).
fof(f9996,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xu)) = sdtasdt0(sz0z00,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_557 ),
inference(resolution,[],[f9238,f104]) ).
fof(f9238,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_557 ),
inference(avatar_component_clause,[],[f9237]) ).
fof(f15270,plain,
( spl2_1069
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_115
| ~ spl2_127
| ~ spl2_556 ),
inference(avatar_split_clause,[],[f9986,f9233,f1611,f1224,f1015,f160,f102,f15267]) ).
fof(f15267,plain,
( spl2_1069
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1069])]) ).
fof(f9233,plain,
( spl2_556
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_556])]) ).
fof(f9986,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_115
| ~ spl2_127
| ~ spl2_556 ),
inference(forward_demodulation,[],[f9985,f1226]) ).
fof(f9985,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_127
| ~ spl2_556 ),
inference(forward_demodulation,[],[f9984,f1623]) ).
fof(f9984,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_556 ),
inference(forward_demodulation,[],[f9972,f1017]) ).
fof(f9972,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xy)) = sdtasdt0(sz0z00,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_556 ),
inference(resolution,[],[f9234,f104]) ).
fof(f9234,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_556 ),
inference(avatar_component_clause,[],[f9233]) ).
fof(f15265,plain,
( spl2_1068
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_115
| ~ spl2_127
| ~ spl2_555 ),
inference(avatar_split_clause,[],[f9961,f9229,f1611,f1224,f635,f160,f102,f15262]) ).
fof(f15262,plain,
( spl2_1068
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1068])]) ).
fof(f9229,plain,
( spl2_555
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_555])]) ).
fof(f9961,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_115
| ~ spl2_127
| ~ spl2_555 ),
inference(forward_demodulation,[],[f9960,f1226]) ).
fof(f9960,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_127
| ~ spl2_555 ),
inference(forward_demodulation,[],[f9959,f1623]) ).
fof(f9959,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_555 ),
inference(forward_demodulation,[],[f9947,f637]) ).
fof(f9947,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(sz0z00,xx)) = sdtasdt0(sz0z00,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_555 ),
inference(resolution,[],[f9230,f104]) ).
fof(f9230,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_555 ),
inference(avatar_component_clause,[],[f9229]) ).
fof(f15260,plain,
( spl2_1067
| ~ spl2_17
| ~ spl2_47
| ~ spl2_91
| ~ spl2_115
| ~ spl2_125
| ~ spl2_128
| ~ spl2_288
| ~ spl2_586 ),
inference(avatar_split_clause,[],[f9476,f9447,f4569,f1616,f1282,f1224,f990,f416,f156,f15257]) ).
fof(f15257,plain,
( spl2_1067
<=> sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xy,xy)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1067])]) ).
fof(f156,plain,
( spl2_17
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f9476,plain,
( sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xy,xy)),sz0z00)
| ~ spl2_17
| ~ spl2_47
| ~ spl2_91
| ~ spl2_115
| ~ spl2_125
| ~ spl2_128
| ~ spl2_288
| ~ spl2_586 ),
inference(forward_demodulation,[],[f9475,f1226]) ).
fof(f9475,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xy,xy)),sz0z00)
| ~ spl2_17
| ~ spl2_47
| ~ spl2_91
| ~ spl2_125
| ~ spl2_128
| ~ spl2_288
| ~ spl2_586 ),
inference(forward_demodulation,[],[f9474,f1629]) ).
fof(f1629,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_17
| ~ spl2_128 ),
inference(resolution,[],[f1618,f157]) ).
fof(f157,plain,
( ! [X0] :
( ~ sP0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f9474,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xy,xy)),sz0z00)
| ~ spl2_47
| ~ spl2_91
| ~ spl2_125
| ~ spl2_288
| ~ spl2_586 ),
inference(forward_demodulation,[],[f9456,f5222]) ).
fof(f5222,plain,
( sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_47
| ~ spl2_125
| ~ spl2_288 ),
inference(forward_demodulation,[],[f5210,f1379]) ).
fof(f1379,plain,
( sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtasdt0(sdtpldt0(xu,xv),xy)
| ~ spl2_47
| ~ spl2_125 ),
inference(resolution,[],[f1283,f417]) ).
fof(f5210,plain,
( sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xy),sdtasdt0(sdtpldt0(xu,xv),xy))
| ~ spl2_125
| ~ spl2_288 ),
inference(resolution,[],[f4570,f1283]) ).
fof(f9456,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_91
| ~ spl2_586 ),
inference(resolution,[],[f9448,f991]) ).
fof(f15255,plain,
( spl2_1066
| ~ spl2_17
| ~ spl2_46
| ~ spl2_90
| ~ spl2_115
| ~ spl2_125
| ~ spl2_127
| ~ spl2_282
| ~ spl2_566 ),
inference(avatar_split_clause,[],[f9329,f9303,f4544,f1611,f1282,f1224,f986,f412,f156,f15252]) ).
fof(f15252,plain,
( spl2_1066
<=> sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xx)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1066])]) ).
fof(f9329,plain,
( sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xx)),sz0z00)
| ~ spl2_17
| ~ spl2_46
| ~ spl2_90
| ~ spl2_115
| ~ spl2_125
| ~ spl2_127
| ~ spl2_282
| ~ spl2_566 ),
inference(forward_demodulation,[],[f9328,f1226]) ).
fof(f9328,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xx)),sz0z00)
| ~ spl2_17
| ~ spl2_46
| ~ spl2_90
| ~ spl2_125
| ~ spl2_127
| ~ spl2_282
| ~ spl2_566 ),
inference(forward_demodulation,[],[f9327,f1622]) ).
fof(f1622,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_17
| ~ spl2_127 ),
inference(resolution,[],[f1613,f157]) ).
fof(f9327,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xx)),sz0z00)
| ~ spl2_46
| ~ spl2_90
| ~ spl2_125
| ~ spl2_282
| ~ spl2_566 ),
inference(forward_demodulation,[],[f9311,f5086]) ).
fof(f5086,plain,
( sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_46
| ~ spl2_125
| ~ spl2_282 ),
inference(forward_demodulation,[],[f5074,f1378]) ).
fof(f1378,plain,
( sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtasdt0(sdtpldt0(xu,xv),xx)
| ~ spl2_46
| ~ spl2_125 ),
inference(resolution,[],[f1283,f413]) ).
fof(f5074,plain,
( sdtasdt0(sdtpldt0(xu,xv),sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),xx),sdtasdt0(sdtpldt0(xu,xv),xx))
| ~ spl2_125
| ~ spl2_282 ),
inference(resolution,[],[f4545,f1283]) ).
fof(f9311,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_90
| ~ spl2_566 ),
inference(resolution,[],[f9304,f987]) ).
fof(f15250,plain,
( spl2_1065
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_128
| ~ spl2_507 ),
inference(avatar_split_clause,[],[f8826,f8020,f1616,f1174,f160,f102,f15247]) ).
fof(f15247,plain,
( spl2_1065
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1065])]) ).
fof(f8020,plain,
( spl2_507
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_507])]) ).
fof(f8826,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_128
| ~ spl2_507 ),
inference(forward_demodulation,[],[f8825,f1176]) ).
fof(f8825,plain,
( sdtasdt0(sz0z00,xv) = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_128
| ~ spl2_507 ),
inference(forward_demodulation,[],[f8813,f1630]) ).
fof(f8813,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_507 ),
inference(resolution,[],[f8021,f104]) ).
fof(f8021,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_507 ),
inference(avatar_component_clause,[],[f8020]) ).
fof(f15245,plain,
( spl2_1064
| ~ spl2_9
| ~ spl2_775 ),
inference(avatar_split_clause,[],[f13529,f13192,f120,f15243]) ).
fof(f15243,plain,
( spl2_1064
<=> ! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xy),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1064])]) ).
fof(f13192,plain,
( spl2_775
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xy),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_775])]) ).
fof(f13529,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xy),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_775 ),
inference(resolution,[],[f13193,f121]) ).
fof(f13193,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xy),sz0z00) )
| ~ spl2_775 ),
inference(avatar_component_clause,[],[f13192]) ).
fof(f15241,plain,
( spl2_1063
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_128
| ~ spl2_506 ),
inference(avatar_split_clause,[],[f8811,f8016,f1616,f1149,f160,f102,f15238]) ).
fof(f15238,plain,
( spl2_1063
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1063])]) ).
fof(f8016,plain,
( spl2_506
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_506])]) ).
fof(f8811,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_128
| ~ spl2_506 ),
inference(forward_demodulation,[],[f8810,f1151]) ).
fof(f8810,plain,
( sdtasdt0(sz0z00,xu) = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_128
| ~ spl2_506 ),
inference(forward_demodulation,[],[f8798,f1630]) ).
fof(f8798,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_506 ),
inference(resolution,[],[f8017,f104]) ).
fof(f8017,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_506 ),
inference(avatar_component_clause,[],[f8016]) ).
fof(f15236,plain,
( spl2_1062
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_128
| ~ spl2_505 ),
inference(avatar_split_clause,[],[f8796,f8012,f1616,f1015,f160,f102,f15233]) ).
fof(f15233,plain,
( spl2_1062
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1062])]) ).
fof(f8012,plain,
( spl2_505
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_505])]) ).
fof(f8796,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_94
| ~ spl2_128
| ~ spl2_505 ),
inference(forward_demodulation,[],[f8795,f1017]) ).
fof(f8795,plain,
( sdtasdt0(sz0z00,xy) = sdtasdt0(sz0z00,sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_128
| ~ spl2_505 ),
inference(forward_demodulation,[],[f8783,f1630]) ).
fof(f8783,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtasdt0(sz0z00,sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_505 ),
inference(resolution,[],[f8013,f104]) ).
fof(f8013,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_505 ),
inference(avatar_component_clause,[],[f8012]) ).
fof(f15231,plain,
( spl2_1061
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_128
| ~ spl2_504 ),
inference(avatar_split_clause,[],[f8781,f8008,f1616,f635,f160,f102,f15228]) ).
fof(f15228,plain,
( spl2_1061
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1061])]) ).
fof(f8008,plain,
( spl2_504
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_504])]) ).
fof(f8781,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_128
| ~ spl2_504 ),
inference(forward_demodulation,[],[f8780,f637]) ).
fof(f8780,plain,
( sdtasdt0(sz0z00,xx) = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_128
| ~ spl2_504 ),
inference(forward_demodulation,[],[f8768,f1630]) ).
fof(f8768,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_504 ),
inference(resolution,[],[f8009,f104]) ).
fof(f8009,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))) )
| ~ spl2_504 ),
inference(avatar_component_clause,[],[f8008]) ).
fof(f15226,plain,
( spl2_1060
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_127
| ~ spl2_496 ),
inference(avatar_split_clause,[],[f8690,f7949,f1611,f1174,f160,f102,f15223]) ).
fof(f15223,plain,
( spl2_1060
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1060])]) ).
fof(f7949,plain,
( spl2_496
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_496])]) ).
fof(f8690,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_113
| ~ spl2_127
| ~ spl2_496 ),
inference(forward_demodulation,[],[f8689,f1176]) ).
fof(f8689,plain,
( sdtasdt0(sz0z00,xv) = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_127
| ~ spl2_496 ),
inference(forward_demodulation,[],[f8677,f1623]) ).
fof(f8677,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtasdt0(sz0z00,sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_496 ),
inference(resolution,[],[f7950,f104]) ).
fof(f7950,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_496 ),
inference(avatar_component_clause,[],[f7949]) ).
fof(f15221,plain,
( spl2_1059
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_127
| ~ spl2_495 ),
inference(avatar_split_clause,[],[f8673,f7945,f1611,f1149,f160,f102,f15218]) ).
fof(f15218,plain,
( spl2_1059
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1059])]) ).
fof(f7945,plain,
( spl2_495
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_495])]) ).
fof(f8673,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_108
| ~ spl2_127
| ~ spl2_495 ),
inference(forward_demodulation,[],[f8672,f1151]) ).
fof(f8672,plain,
( sdtasdt0(sz0z00,xu) = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_127
| ~ spl2_495 ),
inference(forward_demodulation,[],[f8660,f1623]) ).
fof(f8660,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtasdt0(sz0z00,sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_495 ),
inference(resolution,[],[f7946,f104]) ).
fof(f7946,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_495 ),
inference(avatar_component_clause,[],[f7945]) ).
fof(f15216,plain,
( spl2_1058
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_127
| ~ spl2_493 ),
inference(avatar_split_clause,[],[f8652,f7934,f1611,f635,f160,f102,f15213]) ).
fof(f15213,plain,
( spl2_1058
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1058])]) ).
fof(f7934,plain,
( spl2_493
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_493])]) ).
fof(f8652,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_66
| ~ spl2_127
| ~ spl2_493 ),
inference(forward_demodulation,[],[f8651,f637]) ).
fof(f8651,plain,
( sdtasdt0(sz0z00,xx) = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_18
| ~ spl2_127
| ~ spl2_493 ),
inference(forward_demodulation,[],[f8639,f1623]) ).
fof(f8639,plain,
( sdtasdt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtasdt0(sz0z00,sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_6
| ~ spl2_493 ),
inference(resolution,[],[f7935,f104]) ).
fof(f7935,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv)))) )
| ~ spl2_493 ),
inference(avatar_component_clause,[],[f7934]) ).
fof(f15211,plain,
( spl2_1057
| ~ spl2_4
| ~ spl2_299
| ~ spl2_316 ),
inference(avatar_split_clause,[],[f5952,f4683,f4614,f92,f15208]) ).
fof(f15208,plain,
( spl2_1057
<=> sdtasdt0(xv,sdtpldt0(xv,xv)) = sdtasdt0(sdtpldt0(xv,xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1057])]) ).
fof(f4683,plain,
( spl2_316
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_316])]) ).
fof(f5952,plain,
( sdtasdt0(xv,sdtpldt0(xv,xv)) = sdtasdt0(sdtpldt0(xv,xv),xv)
| ~ spl2_4
| ~ spl2_299
| ~ spl2_316 ),
inference(forward_demodulation,[],[f5938,f5466]) ).
fof(f5938,plain,
( sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xv,xv)) = sdtasdt0(sdtpldt0(xv,xv),xv)
| ~ spl2_4
| ~ spl2_316 ),
inference(resolution,[],[f4684,f94]) ).
fof(f4684,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,xv)) )
| ~ spl2_316 ),
inference(avatar_component_clause,[],[f4683]) ).
fof(f15206,plain,
( spl2_1056
| ~ spl2_3
| ~ spl2_4
| ~ spl2_140
| ~ spl2_293
| ~ spl2_315 ),
inference(avatar_split_clause,[],[f5919,f4679,f4589,f1697,f92,f87,f15203]) ).
fof(f15203,plain,
( spl2_1056
<=> sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtasdt0(sdtpldt0(xu,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1056])]) ).
fof(f4679,plain,
( spl2_315
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xu,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_315])]) ).
fof(f5919,plain,
( sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtasdt0(sdtpldt0(xu,xu),xv)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_140
| ~ spl2_293
| ~ spl2_315 ),
inference(forward_demodulation,[],[f5905,f5350]) ).
fof(f5905,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xv)) = sdtasdt0(sdtpldt0(xu,xu),xv)
| ~ spl2_3
| ~ spl2_315 ),
inference(resolution,[],[f4680,f89]) ).
fof(f4680,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xu),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xu,xv)) )
| ~ spl2_315 ),
inference(avatar_component_clause,[],[f4679]) ).
fof(f15201,plain,
( spl2_1055
| ~ spl2_4
| ~ spl2_133
| ~ spl2_139
| ~ spl2_290
| ~ spl2_314 ),
inference(avatar_split_clause,[],[f5894,f4675,f4577,f1692,f1655,f92,f15198]) ).
fof(f15198,plain,
( spl2_1055
<=> sdtasdt0(xv,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1055])]) ).
fof(f4675,plain,
( spl2_314
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xy,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_314])]) ).
fof(f5894,plain,
( sdtasdt0(xv,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xv)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_139
| ~ spl2_290
| ~ spl2_314 ),
inference(forward_demodulation,[],[f5893,f5278]) ).
fof(f5893,plain,
( sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xv)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_314 ),
inference(forward_demodulation,[],[f5878,f1657]) ).
fof(f5878,plain,
( sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xy,xv)) = sdtasdt0(sdtpldt0(xv,xy),xv)
| ~ spl2_4
| ~ spl2_314 ),
inference(resolution,[],[f4676,f94]) ).
fof(f4676,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xy),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xy,xv)) )
| ~ spl2_314 ),
inference(avatar_component_clause,[],[f4675]) ).
fof(f15196,plain,
( spl2_1054
| ~ spl2_3
| ~ spl2_4
| ~ spl2_132
| ~ spl2_139
| ~ spl2_140
| ~ spl2_289
| ~ spl2_314 ),
inference(avatar_split_clause,[],[f5892,f4675,f4573,f1697,f1692,f1650,f92,f87,f15193]) ).
fof(f15193,plain,
( spl2_1054
<=> sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1054])]) ).
fof(f5892,plain,
( sdtasdt0(xv,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xv)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_132
| ~ spl2_139
| ~ spl2_140
| ~ spl2_289
| ~ spl2_314 ),
inference(forward_demodulation,[],[f5891,f5253]) ).
fof(f5891,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xu),xv)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_314 ),
inference(forward_demodulation,[],[f5877,f1652]) ).
fof(f5877,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xy,xv)) = sdtasdt0(sdtpldt0(xu,xy),xv)
| ~ spl2_3
| ~ spl2_314 ),
inference(resolution,[],[f4676,f89]) ).
fof(f15191,plain,
( spl2_1053
| ~ spl2_9
| ~ spl2_774 ),
inference(avatar_split_clause,[],[f13509,f13188,f120,f15189]) ).
fof(f13188,plain,
( spl2_774
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xx),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_774])]) ).
fof(f13509,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sdtasdt0(smndt0(X0),xx),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_774 ),
inference(resolution,[],[f13189,f121]) ).
fof(f13189,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xx),sz0z00) )
| ~ spl2_774 ),
inference(avatar_component_clause,[],[f13188]) ).
fof(f15187,plain,
( spl2_1052
| ~ spl2_2
| ~ spl2_4
| ~ spl2_139
| ~ spl2_288
| ~ spl2_314 ),
inference(avatar_split_clause,[],[f5890,f4675,f4569,f1692,f92,f82,f15184]) ).
fof(f15184,plain,
( spl2_1052
<=> sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1052])]) ).
fof(f5890,plain,
( sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),xv)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_139
| ~ spl2_288
| ~ spl2_314 ),
inference(forward_demodulation,[],[f5876,f5227]) ).
fof(f5876,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xy),xv)
| ~ spl2_2
| ~ spl2_314 ),
inference(resolution,[],[f4676,f84]) ).
fof(f15182,plain,
( spl2_1051
| ~ spl2_4
| ~ spl2_131
| ~ spl2_137
| ~ spl2_285
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f5866,f4671,f4556,f1682,f1645,f92,f15179]) ).
fof(f15179,plain,
( spl2_1051
<=> sdtasdt0(xv,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1051])]) ).
fof(f4671,plain,
( spl2_313
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xx,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_313])]) ).
fof(f5866,plain,
( sdtasdt0(xv,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xv)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_137
| ~ spl2_285
| ~ spl2_313 ),
inference(forward_demodulation,[],[f5865,f5178]) ).
fof(f5865,plain,
( sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xv)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_313 ),
inference(forward_demodulation,[],[f5849,f1647]) ).
fof(f5849,plain,
( sdtpldt0(sdtasdt0(xv,xv),sdtasdt0(xx,xv)) = sdtasdt0(sdtpldt0(xv,xx),xv)
| ~ spl2_4
| ~ spl2_313 ),
inference(resolution,[],[f4672,f94]) ).
fof(f4672,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xx),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xx,xv)) )
| ~ spl2_313 ),
inference(avatar_component_clause,[],[f4671]) ).
fof(f15177,plain,
( spl2_1050
| ~ spl2_3
| ~ spl2_4
| ~ spl2_130
| ~ spl2_137
| ~ spl2_140
| ~ spl2_284
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f5864,f4671,f4552,f1697,f1682,f1640,f92,f87,f15174]) ).
fof(f15174,plain,
( spl2_1050
<=> sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1050])]) ).
fof(f5864,plain,
( sdtasdt0(xv,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xv)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_130
| ~ spl2_137
| ~ spl2_140
| ~ spl2_284
| ~ spl2_313 ),
inference(forward_demodulation,[],[f5863,f5152]) ).
fof(f5863,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xu),xv)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_313 ),
inference(forward_demodulation,[],[f5848,f1642]) ).
fof(f5848,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xx,xv)) = sdtasdt0(sdtpldt0(xu,xx),xv)
| ~ spl2_3
| ~ spl2_313 ),
inference(resolution,[],[f4672,f89]) ).
fof(f15172,plain,
( spl2_1049
| ~ spl2_2
| ~ spl2_4
| ~ spl2_129
| ~ spl2_137
| ~ spl2_139
| ~ spl2_283
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f5862,f4671,f4548,f1692,f1682,f1635,f92,f82,f15169]) ).
fof(f15169,plain,
( spl2_1049
<=> sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1049])]) ).
fof(f5862,plain,
( sdtasdt0(xv,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xv)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_129
| ~ spl2_137
| ~ spl2_139
| ~ spl2_283
| ~ spl2_313 ),
inference(forward_demodulation,[],[f5861,f5125]) ).
fof(f5861,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xy),xv)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_313 ),
inference(forward_demodulation,[],[f5847,f1637]) ).
fof(f5847,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xx,xv)) = sdtasdt0(sdtpldt0(xy,xx),xv)
| ~ spl2_2
| ~ spl2_313 ),
inference(resolution,[],[f4672,f84]) ).
fof(f15167,plain,
( spl2_1048
| ~ spl2_1
| ~ spl2_4
| ~ spl2_137
| ~ spl2_282
| ~ spl2_313 ),
inference(avatar_split_clause,[],[f5860,f4671,f4544,f1682,f92,f77,f15164]) ).
fof(f15164,plain,
( spl2_1048
<=> sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1048])]) ).
fof(f5860,plain,
( sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xv)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_137
| ~ spl2_282
| ~ spl2_313 ),
inference(forward_demodulation,[],[f5846,f5092]) ).
fof(f5846,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xx),xv)
| ~ spl2_1
| ~ spl2_313 ),
inference(resolution,[],[f4672,f79]) ).
fof(f15162,plain,
( spl2_1047
| ~ spl2_4
| ~ spl2_140
| ~ spl2_293
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f5837,f4667,f4589,f1697,f92,f15159]) ).
fof(f15159,plain,
( spl2_1047
<=> sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtasdt0(sdtpldt0(xv,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1047])]) ).
fof(f4667,plain,
( spl2_312
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_312])]) ).
fof(f5837,plain,
( sdtasdt0(xv,sdtpldt0(xu,xu)) = sdtasdt0(sdtpldt0(xv,xv),xu)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_293
| ~ spl2_312 ),
inference(forward_demodulation,[],[f5836,f5350]) ).
fof(f5836,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xu,xv)) = sdtasdt0(sdtpldt0(xv,xv),xu)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_312 ),
inference(forward_demodulation,[],[f5821,f1699]) ).
fof(f5821,plain,
( sdtasdt0(sdtpldt0(xv,xv),xu) = sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_312 ),
inference(resolution,[],[f4668,f94]) ).
fof(f4668,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,xv)) )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f4667]) ).
fof(f15157,plain,
( spl2_1046
| ~ spl2_3
| ~ spl2_293
| ~ spl2_311 ),
inference(avatar_split_clause,[],[f5806,f4663,f4589,f87,f15154]) ).
fof(f15154,plain,
( spl2_1046
<=> sdtasdt0(xu,sdtpldt0(xu,xu)) = sdtasdt0(sdtpldt0(xu,xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1046])]) ).
fof(f4663,plain,
( spl2_311
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_311])]) ).
fof(f5806,plain,
( sdtasdt0(xu,sdtpldt0(xu,xu)) = sdtasdt0(sdtpldt0(xu,xu),xu)
| ~ spl2_3
| ~ spl2_293
| ~ spl2_311 ),
inference(forward_demodulation,[],[f5792,f5342]) ).
fof(f5792,plain,
( sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xu,xu)) = sdtasdt0(sdtpldt0(xu,xu),xu)
| ~ spl2_3
| ~ spl2_311 ),
inference(resolution,[],[f4664,f89]) ).
fof(f4664,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xu),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,xu)) )
| ~ spl2_311 ),
inference(avatar_component_clause,[],[f4663]) ).
fof(f15152,plain,
( spl2_1045
| ~ spl2_3
| ~ spl2_4
| ~ spl2_133
| ~ spl2_138
| ~ spl2_140
| ~ spl2_290
| ~ spl2_310 ),
inference(avatar_split_clause,[],[f5781,f4659,f4577,f1697,f1687,f1655,f92,f87,f15149]) ).
fof(f15149,plain,
( spl2_1045
<=> sdtasdt0(xu,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1045])]) ).
fof(f4659,plain,
( spl2_310
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xy,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_310])]) ).
fof(f5781,plain,
( sdtasdt0(xu,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xu)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_133
| ~ spl2_138
| ~ spl2_140
| ~ spl2_290
| ~ spl2_310 ),
inference(forward_demodulation,[],[f5780,f5277]) ).
fof(f5780,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xv),xu)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_140
| ~ spl2_310 ),
inference(forward_demodulation,[],[f5779,f1657]) ).
fof(f5779,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xy,xu)) = sdtasdt0(sdtpldt0(xv,xy),xu)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_310 ),
inference(forward_demodulation,[],[f5764,f1699]) ).
fof(f5764,plain,
( sdtasdt0(sdtpldt0(xv,xy),xu) = sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xy,xu))
| ~ spl2_4
| ~ spl2_310 ),
inference(resolution,[],[f4660,f94]) ).
fof(f4660,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xy),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xy,xu)) )
| ~ spl2_310 ),
inference(avatar_component_clause,[],[f4659]) ).
fof(f15147,plain,
( spl2_1044
| ~ spl2_3
| ~ spl2_132
| ~ spl2_138
| ~ spl2_289
| ~ spl2_310 ),
inference(avatar_split_clause,[],[f5778,f4659,f4573,f1687,f1650,f87,f15144]) ).
fof(f15144,plain,
( spl2_1044
<=> sdtasdt0(xu,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1044])]) ).
fof(f5778,plain,
( sdtasdt0(xu,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xu)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_138
| ~ spl2_289
| ~ spl2_310 ),
inference(forward_demodulation,[],[f5777,f5251]) ).
fof(f5777,plain,
( sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xu)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_310 ),
inference(forward_demodulation,[],[f5763,f1652]) ).
fof(f5763,plain,
( sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xy,xu)) = sdtasdt0(sdtpldt0(xu,xy),xu)
| ~ spl2_3
| ~ spl2_310 ),
inference(resolution,[],[f4660,f89]) ).
fof(f15142,plain,
( spl2_1043
| ~ spl2_2
| ~ spl2_3
| ~ spl2_138
| ~ spl2_288
| ~ spl2_310 ),
inference(avatar_split_clause,[],[f5776,f4659,f4569,f1687,f87,f82,f15139]) ).
fof(f15139,plain,
( spl2_1043
<=> sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1043])]) ).
fof(f5776,plain,
( sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),xu)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_138
| ~ spl2_288
| ~ spl2_310 ),
inference(forward_demodulation,[],[f5762,f5226]) ).
fof(f5762,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xy),xu)
| ~ spl2_2
| ~ spl2_310 ),
inference(resolution,[],[f4660,f84]) ).
fof(f15137,plain,
( spl2_1042
| ~ spl2_22
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f1665,f1604,f177,f15134]) ).
fof(f15134,plain,
( spl2_1042
<=> sz0z00 = sdtpldt0(smndt0(sdtpldt0(xu,xv)),sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1042])]) ).
fof(f177,plain,
( spl2_22
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).
fof(f1665,plain,
( sz0z00 = sdtpldt0(smndt0(sdtpldt0(xu,xv)),sdtpldt0(xu,xv))
| ~ spl2_22
| ~ spl2_126 ),
inference(resolution,[],[f1606,f178]) ).
fof(f178,plain,
( ! [X0] :
( ~ sP0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f15132,plain,
( spl2_1041
| ~ spl2_3
| ~ spl2_4
| ~ spl2_131
| ~ spl2_136
| ~ spl2_140
| ~ spl2_285
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f5752,f4650,f4556,f1697,f1677,f1645,f92,f87,f15129]) ).
fof(f15129,plain,
( spl2_1041
<=> sdtasdt0(xu,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1041])]) ).
fof(f4650,plain,
( spl2_308
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xx,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_308])]) ).
fof(f5752,plain,
( sdtasdt0(xu,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xu)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_131
| ~ spl2_136
| ~ spl2_140
| ~ spl2_285
| ~ spl2_308 ),
inference(forward_demodulation,[],[f5751,f5177]) ).
fof(f5751,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xv),xu)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_140
| ~ spl2_308 ),
inference(forward_demodulation,[],[f5750,f1647]) ).
fof(f5750,plain,
( sdtpldt0(sdtasdt0(xu,xv),sdtasdt0(xx,xu)) = sdtasdt0(sdtpldt0(xv,xx),xu)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_308 ),
inference(forward_demodulation,[],[f5734,f1699]) ).
fof(f5734,plain,
( sdtasdt0(sdtpldt0(xv,xx),xu) = sdtpldt0(sdtasdt0(xv,xu),sdtasdt0(xx,xu))
| ~ spl2_4
| ~ spl2_308 ),
inference(resolution,[],[f4651,f94]) ).
fof(f4651,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xx),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xx,xu)) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f4650]) ).
fof(f15127,plain,
( spl2_1040
| ~ spl2_3
| ~ spl2_130
| ~ spl2_136
| ~ spl2_284
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f5749,f4650,f4552,f1677,f1640,f87,f15124]) ).
fof(f15124,plain,
( spl2_1040
<=> sdtasdt0(xu,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1040])]) ).
fof(f5749,plain,
( sdtasdt0(xu,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xu)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_136
| ~ spl2_284
| ~ spl2_308 ),
inference(forward_demodulation,[],[f5748,f5150]) ).
fof(f5748,plain,
( sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xu)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_308 ),
inference(forward_demodulation,[],[f5733,f1642]) ).
fof(f5733,plain,
( sdtpldt0(sdtasdt0(xu,xu),sdtasdt0(xx,xu)) = sdtasdt0(sdtpldt0(xu,xx),xu)
| ~ spl2_3
| ~ spl2_308 ),
inference(resolution,[],[f4651,f89]) ).
fof(f15122,plain,
( spl2_1039
| ~ spl2_2
| ~ spl2_3
| ~ spl2_129
| ~ spl2_136
| ~ spl2_138
| ~ spl2_283
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f5747,f4650,f4548,f1687,f1677,f1635,f87,f82,f15119]) ).
fof(f15119,plain,
( spl2_1039
<=> sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1039])]) ).
fof(f5747,plain,
( sdtasdt0(xu,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xu)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_129
| ~ spl2_136
| ~ spl2_138
| ~ spl2_283
| ~ spl2_308 ),
inference(forward_demodulation,[],[f5746,f5123]) ).
fof(f5746,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xy),xu)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_308 ),
inference(forward_demodulation,[],[f5732,f1637]) ).
fof(f5732,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xx,xu)) = sdtasdt0(sdtpldt0(xy,xx),xu)
| ~ spl2_2
| ~ spl2_308 ),
inference(resolution,[],[f4651,f84]) ).
fof(f15117,plain,
( spl2_1038
| ~ spl2_1
| ~ spl2_3
| ~ spl2_136
| ~ spl2_282
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f5745,f4650,f4544,f1677,f87,f77,f15114]) ).
fof(f15114,plain,
( spl2_1038
<=> sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1038])]) ).
fof(f5745,plain,
( sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xu)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_136
| ~ spl2_282
| ~ spl2_308 ),
inference(forward_demodulation,[],[f5731,f5091]) ).
fof(f5731,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xx),xu)
| ~ spl2_1
| ~ spl2_308 ),
inference(resolution,[],[f4651,f79]) ).
fof(f15112,plain,
( spl2_1037
| ~ spl2_4
| ~ spl2_139
| ~ spl2_288
| ~ spl2_307 ),
inference(avatar_split_clause,[],[f5722,f4646,f4569,f1692,f92,f15109]) ).
fof(f15109,plain,
( spl2_1037
<=> sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xv,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1037])]) ).
fof(f4646,plain,
( spl2_307
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_307])]) ).
fof(f5722,plain,
( sdtasdt0(xv,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xv,xv),xy)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_288
| ~ spl2_307 ),
inference(forward_demodulation,[],[f5721,f5227]) ).
fof(f5721,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xv)) = sdtasdt0(sdtpldt0(xv,xv),xy)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_307 ),
inference(forward_demodulation,[],[f5705,f1694]) ).
fof(f5705,plain,
( sdtasdt0(sdtpldt0(xv,xv),xy) = sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_307 ),
inference(resolution,[],[f4647,f94]) ).
fof(f4647,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xv)) )
| ~ spl2_307 ),
inference(avatar_component_clause,[],[f4646]) ).
fof(f15107,plain,
( spl2_1036
| ~ spl2_3
| ~ spl2_138
| ~ spl2_288
| ~ spl2_306 ),
inference(avatar_split_clause,[],[f5690,f4642,f4569,f1687,f87,f15104]) ).
fof(f15104,plain,
( spl2_1036
<=> sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xu,xu),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1036])]) ).
fof(f4642,plain,
( spl2_306
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_306])]) ).
fof(f5690,plain,
( sdtasdt0(xu,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xu,xu),xy)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_288
| ~ spl2_306 ),
inference(forward_demodulation,[],[f5689,f5226]) ).
fof(f5689,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xu)) = sdtasdt0(sdtpldt0(xu,xu),xy)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_306 ),
inference(forward_demodulation,[],[f5674,f1689]) ).
fof(f5674,plain,
( sdtasdt0(sdtpldt0(xu,xu),xy) = sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_306 ),
inference(resolution,[],[f4643,f89]) ).
fof(f4643,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xu),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xu)) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f4642]) ).
fof(f15102,plain,
( spl2_1035
| ~ spl2_2
| ~ spl2_4
| ~ spl2_133
| ~ spl2_139
| ~ spl2_290
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f5663,f4638,f4577,f1692,f1655,f92,f82,f15099]) ).
fof(f15099,plain,
( spl2_1035
<=> sdtasdt0(xy,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1035])]) ).
fof(f4638,plain,
( spl2_305
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_305])]) ).
fof(f5663,plain,
( sdtasdt0(xy,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xy)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_133
| ~ spl2_139
| ~ spl2_290
| ~ spl2_305 ),
inference(forward_demodulation,[],[f5662,f5263]) ).
fof(f5662,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xv),xy)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_139
| ~ spl2_305 ),
inference(forward_demodulation,[],[f5661,f1657]) ).
fof(f5661,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xy,xy)) = sdtasdt0(sdtpldt0(xv,xy),xy)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_305 ),
inference(forward_demodulation,[],[f5645,f1694]) ).
fof(f5645,plain,
( sdtasdt0(sdtpldt0(xv,xy),xy) = sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xy,xy))
| ~ spl2_4
| ~ spl2_305 ),
inference(resolution,[],[f4639,f94]) ).
fof(f4639,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xy),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xy)) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f4638]) ).
fof(f15097,plain,
( spl2_1034
| ~ spl2_2
| ~ spl2_3
| ~ spl2_132
| ~ spl2_138
| ~ spl2_289
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f5660,f4638,f4573,f1687,f1650,f87,f82,f15094]) ).
fof(f15094,plain,
( spl2_1034
<=> sdtasdt0(xy,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1034])]) ).
fof(f5660,plain,
( sdtasdt0(xy,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xy)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_132
| ~ spl2_138
| ~ spl2_289
| ~ spl2_305 ),
inference(forward_demodulation,[],[f5659,f5237]) ).
fof(f5659,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xu),xy)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_138
| ~ spl2_305 ),
inference(forward_demodulation,[],[f5658,f1652]) ).
fof(f5658,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xy)) = sdtasdt0(sdtpldt0(xu,xy),xy)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_305 ),
inference(forward_demodulation,[],[f5644,f1689]) ).
fof(f5644,plain,
( sdtasdt0(sdtpldt0(xu,xy),xy) = sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xy,xy))
| ~ spl2_3
| ~ spl2_305 ),
inference(resolution,[],[f4639,f89]) ).
fof(f15092,plain,
( spl2_1033
| ~ spl2_2
| ~ spl2_288
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f5657,f4638,f4569,f82,f15089]) ).
fof(f15089,plain,
( spl2_1033
<=> sdtasdt0(xy,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1033])]) ).
fof(f5657,plain,
( sdtasdt0(xy,sdtpldt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),xy)
| ~ spl2_2
| ~ spl2_288
| ~ spl2_305 ),
inference(forward_demodulation,[],[f5643,f5217]) ).
fof(f5643,plain,
( sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xy,xy)) = sdtasdt0(sdtpldt0(xy,xy),xy)
| ~ spl2_2
| ~ spl2_305 ),
inference(resolution,[],[f4639,f84]) ).
fof(f15087,plain,
( spl2_1032
| ~ spl2_2
| ~ spl2_4
| ~ spl2_131
| ~ spl2_135
| ~ spl2_139
| ~ spl2_285
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f5628,f4634,f4556,f1692,f1672,f1645,f92,f82,f15084]) ).
fof(f15084,plain,
( spl2_1032
<=> sdtasdt0(xy,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1032])]) ).
fof(f4634,plain,
( spl2_304
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xx,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_304])]) ).
fof(f5628,plain,
( sdtasdt0(xy,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xy)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_131
| ~ spl2_135
| ~ spl2_139
| ~ spl2_285
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5627,f5176]) ).
fof(f5627,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xv),xy)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_139
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5626,f1647]) ).
fof(f5626,plain,
( sdtpldt0(sdtasdt0(xy,xv),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xv,xx),xy)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5609,f1694]) ).
fof(f5609,plain,
( sdtasdt0(sdtpldt0(xv,xx),xy) = sdtpldt0(sdtasdt0(xv,xy),sdtasdt0(xx,xy))
| ~ spl2_4
| ~ spl2_304 ),
inference(resolution,[],[f4635,f94]) ).
fof(f4635,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xx),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xx,xy)) )
| ~ spl2_304 ),
inference(avatar_component_clause,[],[f4634]) ).
fof(f15082,plain,
( spl2_1031
| ~ spl2_21
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f1664,f1604,f173,f15079]) ).
fof(f15079,plain,
( spl2_1031
<=> sz0z00 = sdtpldt0(sdtpldt0(xu,xv),smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1031])]) ).
fof(f173,plain,
( spl2_21
<=> ! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).
fof(f1664,plain,
( sz0z00 = sdtpldt0(sdtpldt0(xu,xv),smndt0(sdtpldt0(xu,xv)))
| ~ spl2_21
| ~ spl2_126 ),
inference(resolution,[],[f1606,f174]) ).
fof(f174,plain,
( ! [X0] :
( ~ sP0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f15077,plain,
( spl2_1030
| ~ spl2_2
| ~ spl2_3
| ~ spl2_130
| ~ spl2_135
| ~ spl2_138
| ~ spl2_284
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f5625,f4634,f4552,f1687,f1672,f1640,f87,f82,f15074]) ).
fof(f15074,plain,
( spl2_1030
<=> sdtasdt0(xy,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1030])]) ).
fof(f5625,plain,
( sdtasdt0(xy,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xy)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_130
| ~ spl2_135
| ~ spl2_138
| ~ spl2_284
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5624,f5149]) ).
fof(f5624,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xu),xy)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_138
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5623,f1642]) ).
fof(f5623,plain,
( sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xu,xx),xy)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5608,f1689]) ).
fof(f5608,plain,
( sdtasdt0(sdtpldt0(xu,xx),xy) = sdtpldt0(sdtasdt0(xu,xy),sdtasdt0(xx,xy))
| ~ spl2_3
| ~ spl2_304 ),
inference(resolution,[],[f4635,f89]) ).
fof(f15072,plain,
( spl2_1029
| ~ spl2_2
| ~ spl2_129
| ~ spl2_135
| ~ spl2_283
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f5622,f4634,f4548,f1672,f1635,f82,f15069]) ).
fof(f15069,plain,
( spl2_1029
<=> sdtasdt0(xy,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1029])]) ).
fof(f5622,plain,
( sdtasdt0(xy,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xy)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_135
| ~ spl2_283
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5621,f5121]) ).
fof(f5621,plain,
( sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xy)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5607,f1637]) ).
fof(f5607,plain,
( sdtpldt0(sdtasdt0(xy,xy),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xy,xx),xy)
| ~ spl2_2
| ~ spl2_304 ),
inference(resolution,[],[f4635,f84]) ).
fof(f15067,plain,
( spl2_1028
| ~ spl2_1
| ~ spl2_2
| ~ spl2_135
| ~ spl2_282
| ~ spl2_304 ),
inference(avatar_split_clause,[],[f5620,f4634,f4544,f1672,f82,f77,f15064]) ).
fof(f15064,plain,
( spl2_1028
<=> sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1028])]) ).
fof(f5620,plain,
( sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xy)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_135
| ~ spl2_282
| ~ spl2_304 ),
inference(forward_demodulation,[],[f5606,f5090]) ).
fof(f5606,plain,
( sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xx),xy)
| ~ spl2_1
| ~ spl2_304 ),
inference(resolution,[],[f4635,f79]) ).
fof(f15062,plain,
( spl2_1027
| ~ spl2_4
| ~ spl2_137
| ~ spl2_282
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f5597,f4630,f4544,f1682,f92,f15059]) ).
fof(f15059,plain,
( spl2_1027
<=> sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xv,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1027])]) ).
fof(f4630,plain,
( spl2_303
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_303])]) ).
fof(f5597,plain,
( sdtasdt0(xv,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xv,xv),xx)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_282
| ~ spl2_303 ),
inference(forward_demodulation,[],[f5596,f5092]) ).
fof(f5596,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xv)) = sdtasdt0(sdtpldt0(xv,xv),xx)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_303 ),
inference(forward_demodulation,[],[f5579,f1684]) ).
fof(f5579,plain,
( sdtasdt0(sdtpldt0(xv,xv),xx) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_303 ),
inference(resolution,[],[f4631,f94]) ).
fof(f4631,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xv)) )
| ~ spl2_303 ),
inference(avatar_component_clause,[],[f4630]) ).
fof(f15057,plain,
( spl2_1026
| ~ spl2_3
| ~ spl2_136
| ~ spl2_282
| ~ spl2_302 ),
inference(avatar_split_clause,[],[f5564,f4626,f4544,f1677,f87,f15054]) ).
fof(f15054,plain,
( spl2_1026
<=> sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xu,xu),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1026])]) ).
fof(f4626,plain,
( spl2_302
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xu))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_302])]) ).
fof(f5564,plain,
( sdtasdt0(xu,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xu,xu),xx)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_282
| ~ spl2_302 ),
inference(forward_demodulation,[],[f5563,f5091]) ).
fof(f5563,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xu)) = sdtasdt0(sdtpldt0(xu,xu),xx)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_302 ),
inference(forward_demodulation,[],[f5547,f1679]) ).
fof(f5547,plain,
( sdtasdt0(sdtpldt0(xu,xu),xx) = sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_302 ),
inference(resolution,[],[f4627,f89]) ).
fof(f4627,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xu),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xu)) )
| ~ spl2_302 ),
inference(avatar_component_clause,[],[f4626]) ).
fof(f15052,plain,
( spl2_1025
| ~ spl2_1
| ~ spl2_4
| ~ spl2_133
| ~ spl2_137
| ~ spl2_290
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f5536,f4622,f4577,f1682,f1655,f92,f77,f15049]) ).
fof(f15049,plain,
( spl2_1025
<=> sdtasdt0(xx,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1025])]) ).
fof(f4622,plain,
( spl2_301
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_301])]) ).
fof(f5536,plain,
( sdtasdt0(xx,sdtpldt0(xy,xv)) = sdtasdt0(sdtpldt0(xy,xv),xx)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_133
| ~ spl2_137
| ~ spl2_290
| ~ spl2_301 ),
inference(forward_demodulation,[],[f5535,f5262]) ).
fof(f5535,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xy,xv),xx)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_137
| ~ spl2_301 ),
inference(forward_demodulation,[],[f5534,f1657]) ).
fof(f5534,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xv,xy),xx)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_301 ),
inference(forward_demodulation,[],[f5516,f1684]) ).
fof(f5516,plain,
( sdtasdt0(sdtpldt0(xv,xy),xx) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xx,xy))
| ~ spl2_4
| ~ spl2_301 ),
inference(resolution,[],[f4623,f94]) ).
fof(f4623,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xy),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xy)) )
| ~ spl2_301 ),
inference(avatar_component_clause,[],[f4622]) ).
fof(f15047,plain,
( spl2_1024
| ~ spl2_1
| ~ spl2_3
| ~ spl2_132
| ~ spl2_136
| ~ spl2_289
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f5533,f4622,f4573,f1677,f1650,f87,f77,f15044]) ).
fof(f15044,plain,
( spl2_1024
<=> sdtasdt0(xx,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1024])]) ).
fof(f5533,plain,
( sdtasdt0(xx,sdtpldt0(xy,xu)) = sdtasdt0(sdtpldt0(xy,xu),xx)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_132
| ~ spl2_136
| ~ spl2_289
| ~ spl2_301 ),
inference(forward_demodulation,[],[f5532,f5236]) ).
fof(f5532,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xy,xu),xx)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_136
| ~ spl2_301 ),
inference(forward_demodulation,[],[f5531,f1652]) ).
fof(f5531,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xu,xy),xx)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_301 ),
inference(forward_demodulation,[],[f5515,f1679]) ).
fof(f5515,plain,
( sdtasdt0(sdtpldt0(xu,xy),xx) = sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xx,xy))
| ~ spl2_3
| ~ spl2_301 ),
inference(resolution,[],[f4623,f89]) ).
fof(f15042,plain,
( spl2_1023
| ~ spl2_2
| ~ spl2_135
| ~ spl2_282
| ~ spl2_301 ),
inference(avatar_split_clause,[],[f5530,f4622,f4544,f1672,f82,f15039]) ).
fof(f15039,plain,
( spl2_1023
<=> sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xy,xy),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1023])]) ).
fof(f5530,plain,
( sdtasdt0(xy,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xy,xy),xx)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_282
| ~ spl2_301 ),
inference(forward_demodulation,[],[f5529,f5090]) ).
fof(f5529,plain,
( sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xy)) = sdtasdt0(sdtpldt0(xy,xy),xx)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_301 ),
inference(forward_demodulation,[],[f5514,f1674]) ).
fof(f5514,plain,
( sdtasdt0(sdtpldt0(xy,xy),xx) = sdtpldt0(sdtasdt0(xy,xx),sdtasdt0(xx,xy))
| ~ spl2_2
| ~ spl2_301 ),
inference(resolution,[],[f4623,f84]) ).
fof(f15037,plain,
( spl2_1022
| ~ spl2_1
| ~ spl2_4
| ~ spl2_131
| ~ spl2_137
| ~ spl2_285
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f5504,f4618,f4556,f1682,f1645,f92,f77,f15034]) ).
fof(f15034,plain,
( spl2_1022
<=> sdtasdt0(xx,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1022])]) ).
fof(f4618,plain,
( spl2_300
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_300])]) ).
fof(f5504,plain,
( sdtasdt0(xx,sdtpldt0(xx,xv)) = sdtasdt0(sdtpldt0(xx,xv),xx)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_131
| ~ spl2_137
| ~ spl2_285
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5503,f5161]) ).
fof(f5503,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xv),xx)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_137
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5502,f1647]) ).
fof(f5502,plain,
( sdtpldt0(sdtasdt0(xx,xv),sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(xv,xx),xx)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5484,f1684]) ).
fof(f5484,plain,
( sdtasdt0(sdtpldt0(xv,xx),xx) = sdtpldt0(sdtasdt0(xv,xx),sdtasdt0(xx,xx))
| ~ spl2_4
| ~ spl2_300 ),
inference(resolution,[],[f4619,f94]) ).
fof(f4619,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xx),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xx)) )
| ~ spl2_300 ),
inference(avatar_component_clause,[],[f4618]) ).
fof(f15032,plain,
( spl2_1021
| ~ spl2_1
| ~ spl2_3
| ~ spl2_130
| ~ spl2_136
| ~ spl2_284
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f5501,f4618,f4552,f1677,f1640,f87,f77,f15029]) ).
fof(f15029,plain,
( spl2_1021
<=> sdtasdt0(xx,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1021])]) ).
fof(f5501,plain,
( sdtasdt0(xx,sdtpldt0(xx,xu)) = sdtasdt0(sdtpldt0(xx,xu),xx)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_130
| ~ spl2_136
| ~ spl2_284
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5500,f5134]) ).
fof(f5500,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xu),xx)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_136
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5499,f1642]) ).
fof(f5499,plain,
( sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(xu,xx),xx)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5483,f1679]) ).
fof(f5483,plain,
( sdtasdt0(sdtpldt0(xu,xx),xx) = sdtpldt0(sdtasdt0(xu,xx),sdtasdt0(xx,xx))
| ~ spl2_3
| ~ spl2_300 ),
inference(resolution,[],[f4619,f89]) ).
fof(f15025,plain,
( spl2_1020
| ~ spl2_1
| ~ spl2_2
| ~ spl2_129
| ~ spl2_135
| ~ spl2_283
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f5498,f4618,f4548,f1672,f1635,f82,f77,f15022]) ).
fof(f15022,plain,
( spl2_1020
<=> sdtasdt0(xx,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1020])]) ).
fof(f5498,plain,
( sdtasdt0(xx,sdtpldt0(xx,xy)) = sdtasdt0(sdtpldt0(xx,xy),xx)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_129
| ~ spl2_135
| ~ spl2_283
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5497,f5106]) ).
fof(f5497,plain,
( sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xy),xx)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_135
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5496,f1637]) ).
fof(f5496,plain,
( sdtpldt0(sdtasdt0(xx,xy),sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(xy,xx),xx)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5482,f1674]) ).
fof(f5482,plain,
( sdtasdt0(sdtpldt0(xy,xx),xx) = sdtpldt0(sdtasdt0(xy,xx),sdtasdt0(xx,xx))
| ~ spl2_2
| ~ spl2_300 ),
inference(resolution,[],[f4619,f84]) ).
fof(f15020,plain,
( spl2_1019
| ~ spl2_1
| ~ spl2_282
| ~ spl2_300 ),
inference(avatar_split_clause,[],[f5495,f4618,f4544,f77,f15017]) ).
fof(f15017,plain,
( spl2_1019
<=> sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1019])]) ).
fof(f5495,plain,
( sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xx)
| ~ spl2_1
| ~ spl2_282
| ~ spl2_300 ),
inference(forward_demodulation,[],[f5481,f5080]) ).
fof(f5481,plain,
( sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xx)
| ~ spl2_1
| ~ spl2_300 ),
inference(resolution,[],[f4619,f79]) ).
fof(f15015,plain,
( spl2_1018
| ~ spl2_4
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f4336,f4254,f92,f15013]) ).
fof(f15013,plain,
( spl2_1018
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = smndt0(smndt0(sdtpldt0(X0,xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1018])]) ).
fof(f4336,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = smndt0(smndt0(sdtpldt0(X0,xv))) )
| ~ spl2_4
| ~ spl2_256 ),
inference(resolution,[],[f4255,f94]) ).
fof(f15011,plain,
( spl2_1017
| ~ spl2_3
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f4335,f4254,f87,f15009]) ).
fof(f15009,plain,
( spl2_1017
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = smndt0(smndt0(sdtpldt0(X0,xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1017])]) ).
fof(f4335,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = smndt0(smndt0(sdtpldt0(X0,xu))) )
| ~ spl2_3
| ~ spl2_256 ),
inference(resolution,[],[f4255,f89]) ).
fof(f15007,plain,
( spl2_1016
| ~ spl2_2
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f4334,f4254,f82,f15005]) ).
fof(f4334,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = smndt0(smndt0(sdtpldt0(X0,xy))) )
| ~ spl2_2
| ~ spl2_256 ),
inference(resolution,[],[f4255,f84]) ).
fof(f15003,plain,
( spl2_1015
| ~ spl2_1
| ~ spl2_256 ),
inference(avatar_split_clause,[],[f4333,f4254,f77,f15001]) ).
fof(f4333,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = smndt0(smndt0(sdtpldt0(X0,xx))) )
| ~ spl2_1
| ~ spl2_256 ),
inference(resolution,[],[f4255,f79]) ).
fof(f14999,plain,
( spl2_1014
| ~ spl2_4
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f4324,f4245,f92,f14997]) ).
fof(f14997,plain,
( spl2_1014
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = sdtpldt0(sz0z00,sdtpldt0(X0,xv)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1014])]) ).
fof(f4324,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = sdtpldt0(sz0z00,sdtpldt0(X0,xv)) )
| ~ spl2_4
| ~ spl2_254 ),
inference(resolution,[],[f4246,f94]) ).
fof(f14995,plain,
( spl2_1013
| ~ spl2_3
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f4323,f4245,f87,f14993]) ).
fof(f14993,plain,
( spl2_1013
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = sdtpldt0(sz0z00,sdtpldt0(X0,xu)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1013])]) ).
fof(f4323,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = sdtpldt0(sz0z00,sdtpldt0(X0,xu)) )
| ~ spl2_3
| ~ spl2_254 ),
inference(resolution,[],[f4246,f89]) ).
fof(f14991,plain,
( spl2_1012
| ~ spl2_2
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f4322,f4245,f82,f14989]) ).
fof(f14989,plain,
( spl2_1012
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = sdtpldt0(sz0z00,sdtpldt0(X0,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1012])]) ).
fof(f4322,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = sdtpldt0(sz0z00,sdtpldt0(X0,xy)) )
| ~ spl2_2
| ~ spl2_254 ),
inference(resolution,[],[f4246,f84]) ).
fof(f14987,plain,
( spl2_1011
| ~ spl2_1
| ~ spl2_254 ),
inference(avatar_split_clause,[],[f4321,f4245,f77,f14985]) ).
fof(f14985,plain,
( spl2_1011
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(sz0z00,sdtpldt0(X0,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1011])]) ).
fof(f4321,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(sz0z00,sdtpldt0(X0,xx)) )
| ~ spl2_1
| ~ spl2_254 ),
inference(resolution,[],[f4246,f79]) ).
fof(f14983,plain,
( spl2_1010
| ~ spl2_3
| ~ spl2_215
| ~ spl2_837
| ~ spl2_919 ),
inference(avatar_split_clause,[],[f14499,f14495,f14069,f2882,f87,f14980]) ).
fof(f14980,plain,
( spl2_1010
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtpldt0(xv,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1010])]) ).
fof(f14495,plain,
( spl2_919
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_919])]) ).
fof(f14499,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtpldt0(xv,xv)))
| ~ spl2_3
| ~ spl2_215
| ~ spl2_837
| ~ spl2_919 ),
inference(forward_demodulation,[],[f14497,f14073]) ).
fof(f14497,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtpldt0(xu,xv)))
| ~ spl2_919 ),
inference(avatar_component_clause,[],[f14495]) ).
fof(f14978,plain,
( spl2_1009
| ~ spl2_4
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f4300,f4237,f92,f14976]) ).
fof(f4300,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = smndt0(smndt0(sdtasdt0(X0,xv))) )
| ~ spl2_4
| ~ spl2_252 ),
inference(resolution,[],[f4238,f94]) ).
fof(f14974,plain,
( spl2_1008
| ~ spl2_3
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f4299,f4237,f87,f14972]) ).
fof(f4299,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = smndt0(smndt0(sdtasdt0(X0,xu))) )
| ~ spl2_3
| ~ spl2_252 ),
inference(resolution,[],[f4238,f89]) ).
fof(f14970,plain,
( spl2_1007
| ~ spl2_2
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f4298,f4237,f82,f14968]) ).
fof(f4298,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = smndt0(smndt0(sdtasdt0(X0,xy))) )
| ~ spl2_2
| ~ spl2_252 ),
inference(resolution,[],[f4238,f84]) ).
fof(f14966,plain,
( spl2_1006
| ~ spl2_1
| ~ spl2_252 ),
inference(avatar_split_clause,[],[f4297,f4237,f77,f14964]) ).
fof(f4297,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = smndt0(smndt0(sdtasdt0(X0,xx))) )
| ~ spl2_1
| ~ spl2_252 ),
inference(resolution,[],[f4238,f79]) ).
fof(f14962,plain,
( spl2_1005
| ~ spl2_4
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f4288,f4233,f92,f14960]) ).
fof(f14960,plain,
( spl2_1005
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = sdtpldt0(sz0z00,sdtasdt0(X0,xv)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1005])]) ).
fof(f4288,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = sdtpldt0(sz0z00,sdtasdt0(X0,xv)) )
| ~ spl2_4
| ~ spl2_251 ),
inference(resolution,[],[f4234,f94]) ).
fof(f14958,plain,
( spl2_1004
| ~ spl2_3
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f4287,f4233,f87,f14956]) ).
fof(f14956,plain,
( spl2_1004
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = sdtpldt0(sz0z00,sdtasdt0(X0,xu)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1004])]) ).
fof(f4287,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = sdtpldt0(sz0z00,sdtasdt0(X0,xu)) )
| ~ spl2_3
| ~ spl2_251 ),
inference(resolution,[],[f4234,f89]) ).
fof(f14954,plain,
( spl2_1003
| ~ spl2_2
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f4286,f4233,f82,f14952]) ).
fof(f14952,plain,
( spl2_1003
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtpldt0(sz0z00,sdtasdt0(X0,xy)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1003])]) ).
fof(f4286,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtpldt0(sz0z00,sdtasdt0(X0,xy)) )
| ~ spl2_2
| ~ spl2_251 ),
inference(resolution,[],[f4234,f84]) ).
fof(f14950,plain,
( spl2_1002
| ~ spl2_1
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f4285,f4233,f77,f14948]) ).
fof(f14948,plain,
( spl2_1002
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtpldt0(sz0z00,sdtasdt0(X0,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1002])]) ).
fof(f4285,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtpldt0(sz0z00,sdtasdt0(X0,xx)) )
| ~ spl2_1
| ~ spl2_251 ),
inference(resolution,[],[f4234,f79]) ).
fof(f14946,plain,
( spl2_1001
| ~ spl2_4
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f4276,f4229,f92,f14944]) ).
fof(f14944,plain,
( spl2_1001
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = sdtpldt0(sdtasdt0(X0,xv),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1001])]) ).
fof(f4276,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = sdtpldt0(sdtasdt0(X0,xv),sz0z00) )
| ~ spl2_4
| ~ spl2_250 ),
inference(resolution,[],[f4230,f94]) ).
fof(f14942,plain,
( spl2_1000
| ~ spl2_3
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f4275,f4229,f87,f14940]) ).
fof(f14940,plain,
( spl2_1000
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = sdtpldt0(sdtasdt0(X0,xu),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1000])]) ).
fof(f4275,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = sdtpldt0(sdtasdt0(X0,xu),sz0z00) )
| ~ spl2_3
| ~ spl2_250 ),
inference(resolution,[],[f4230,f89]) ).
fof(f14936,plain,
( spl2_999
| ~ spl2_2
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f4274,f4229,f82,f14934]) ).
fof(f14934,plain,
( spl2_999
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtpldt0(sdtasdt0(X0,xy),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_999])]) ).
fof(f4274,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtpldt0(sdtasdt0(X0,xy),sz0z00) )
| ~ spl2_2
| ~ spl2_250 ),
inference(resolution,[],[f4230,f84]) ).
fof(f14932,plain,
( spl2_998
| ~ spl2_1
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f4273,f4229,f77,f14930]) ).
fof(f14930,plain,
( spl2_998
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,xx),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_998])]) ).
fof(f4273,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,xx),sz0z00) )
| ~ spl2_1
| ~ spl2_250 ),
inference(resolution,[],[f4230,f79]) ).
fof(f14928,plain,
( spl2_997
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_91
| ~ spl2_115
| ~ spl2_128
| ~ spl2_247 ),
inference(avatar_split_clause,[],[f4219,f3016,f1616,f1224,f990,f514,f408,f160,f14925]) ).
fof(f14925,plain,
( spl2_997
<=> sz0z00 = sdtasdt0(sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_997])]) ).
fof(f4219,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_91
| ~ spl2_115
| ~ spl2_128
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4218,f1226]) ).
fof(f4218,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4217,f1630]) ).
fof(f4217,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_45
| ~ spl2_53
| ~ spl2_91
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4216,f1459]) ).
fof(f1459,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_53
| ~ spl2_91 ),
inference(resolution,[],[f991,f515]) ).
fof(f4216,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_45
| ~ spl2_91
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4195,f1453]) ).
fof(f1453,plain,
( sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv) = sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_45
| ~ spl2_91 ),
inference(resolution,[],[f991,f409]) ).
fof(f4195,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv),sz0z00)
| ~ spl2_91
| ~ spl2_247 ),
inference(resolution,[],[f3017,f991]) ).
fof(f14923,plain,
( spl2_996
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_90
| ~ spl2_115
| ~ spl2_127
| ~ spl2_247 ),
inference(avatar_split_clause,[],[f4215,f3016,f1611,f1224,f986,f514,f408,f160,f14920]) ).
fof(f14920,plain,
( spl2_996
<=> sz0z00 = sdtasdt0(sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_996])]) ).
fof(f4215,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_90
| ~ spl2_115
| ~ spl2_127
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4214,f1226]) ).
fof(f4214,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4213,f1623]) ).
fof(f4213,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_45
| ~ spl2_53
| ~ spl2_90
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4212,f1308]) ).
fof(f1308,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_53
| ~ spl2_90 ),
inference(resolution,[],[f987,f515]) ).
fof(f4212,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_45
| ~ spl2_90
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4194,f1302]) ).
fof(f1302,plain,
( sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv) = sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_45
| ~ spl2_90 ),
inference(resolution,[],[f987,f409]) ).
fof(f4194,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv),sz0z00)
| ~ spl2_90
| ~ spl2_247 ),
inference(resolution,[],[f3017,f987]) ).
fof(f14918,plain,
( spl2_995
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_91
| ~ spl2_115
| ~ spl2_128
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f4179,f3012,f1616,f1224,f990,f514,f404,f160,f14915]) ).
fof(f14915,plain,
( spl2_995
<=> sz0z00 = sdtasdt0(sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_995])]) ).
fof(f4179,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_91
| ~ spl2_115
| ~ spl2_128
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4178,f1226]) ).
fof(f4178,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4177,f1630]) ).
fof(f4177,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_44
| ~ spl2_53
| ~ spl2_91
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4176,f1459]) ).
fof(f4176,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_44
| ~ spl2_91
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4155,f1452]) ).
fof(f1452,plain,
( sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu) = sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_44
| ~ spl2_91 ),
inference(resolution,[],[f991,f405]) ).
fof(f4155,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu),sz0z00)
| ~ spl2_91
| ~ spl2_246 ),
inference(resolution,[],[f3013,f991]) ).
fof(f14913,plain,
( spl2_994
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_90
| ~ spl2_115
| ~ spl2_127
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f4175,f3012,f1611,f1224,f986,f514,f404,f160,f14910]) ).
fof(f14910,plain,
( spl2_994
<=> sz0z00 = sdtasdt0(sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_994])]) ).
fof(f4175,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_90
| ~ spl2_115
| ~ spl2_127
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4174,f1226]) ).
fof(f4174,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4173,f1623]) ).
fof(f4173,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_44
| ~ spl2_53
| ~ spl2_90
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4172,f1308]) ).
fof(f4172,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_44
| ~ spl2_90
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4154,f1301]) ).
fof(f1301,plain,
( sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu) = sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_44
| ~ spl2_90 ),
inference(resolution,[],[f987,f405]) ).
fof(f4154,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu),sz0z00)
| ~ spl2_90
| ~ spl2_246 ),
inference(resolution,[],[f3013,f987]) ).
fof(f14908,plain,
( spl2_993
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_91
| ~ spl2_115
| ~ spl2_128
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f4138,f3008,f1616,f1224,f990,f514,f400,f160,f14905]) ).
fof(f14905,plain,
( spl2_993
<=> sz0z00 = sdtasdt0(sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_993])]) ).
fof(f4138,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_91
| ~ spl2_115
| ~ spl2_128
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4137,f1226]) ).
fof(f4137,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4136,f1630]) ).
fof(f4136,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_43
| ~ spl2_53
| ~ spl2_91
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4135,f1459]) ).
fof(f4135,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_43
| ~ spl2_91
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4114,f1451]) ).
fof(f1451,plain,
( sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy) = sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_43
| ~ spl2_91 ),
inference(resolution,[],[f991,f401]) ).
fof(f4114,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy),sz0z00)
| ~ spl2_91
| ~ spl2_245 ),
inference(resolution,[],[f3009,f991]) ).
fof(f14903,plain,
( spl2_992
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_90
| ~ spl2_115
| ~ spl2_127
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f4134,f3008,f1611,f1224,f986,f514,f400,f160,f14900]) ).
fof(f14900,plain,
( spl2_992
<=> sz0z00 = sdtasdt0(sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_992])]) ).
fof(f4134,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_90
| ~ spl2_115
| ~ spl2_127
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4133,f1226]) ).
fof(f4133,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4132,f1623]) ).
fof(f4132,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_43
| ~ spl2_53
| ~ spl2_90
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4131,f1308]) ).
fof(f4131,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_43
| ~ spl2_90
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4113,f1300]) ).
fof(f1300,plain,
( sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy) = sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_43
| ~ spl2_90 ),
inference(resolution,[],[f987,f401]) ).
fof(f4113,plain,
( sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy),sz0z00)
| ~ spl2_90
| ~ spl2_245 ),
inference(resolution,[],[f3009,f987]) ).
fof(f14898,plain,
( spl2_991
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_91
| ~ spl2_115
| ~ spl2_128
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f4096,f3004,f1616,f1224,f990,f514,f396,f160,f14895]) ).
fof(f14895,plain,
( spl2_991
<=> sz0z00 = sdtasdt0(sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_991])]) ).
fof(f4096,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_91
| ~ spl2_115
| ~ spl2_128
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4095,f1226]) ).
fof(f4095,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4094,f1450]) ).
fof(f1450,plain,
( sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx) = sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_42
| ~ spl2_91 ),
inference(resolution,[],[f991,f397]) ).
fof(f4094,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4093,f1630]) ).
fof(f4093,plain,
( sdtasdt0(sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx),sz0z00) = sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_53
| ~ spl2_91
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4072,f1459]) ).
fof(f4072,plain,
( sdtasdt0(sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx),sz0z00) = sdtpldt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00),sz0z00)
| ~ spl2_91
| ~ spl2_244 ),
inference(resolution,[],[f3005,f991]) ).
fof(f14893,plain,
( spl2_990
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_90
| ~ spl2_115
| ~ spl2_127
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f4092,f3004,f1611,f1224,f986,f514,f396,f160,f14890]) ).
fof(f14890,plain,
( spl2_990
<=> sz0z00 = sdtasdt0(sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_990])]) ).
fof(f4092,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_90
| ~ spl2_115
| ~ spl2_127
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4091,f1226]) ).
fof(f4091,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4090,f1299]) ).
fof(f1299,plain,
( sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx) = sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_42
| ~ spl2_90 ),
inference(resolution,[],[f987,f397]) ).
fof(f4090,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4089,f1623]) ).
fof(f4089,plain,
( sdtasdt0(sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx),sz0z00) = sdtpldt0(sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_53
| ~ spl2_90
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4071,f1308]) ).
fof(f4071,plain,
( sdtasdt0(sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx),sz0z00) = sdtpldt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00),sz0z00)
| ~ spl2_90
| ~ spl2_244 ),
inference(resolution,[],[f3005,f987]) ).
fof(f14886,plain,
( spl2_989
| ~ spl2_4
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f3649,f2950,f92,f14883]) ).
fof(f14883,plain,
( spl2_989
<=> sdtasdt0(sdtasdt0(xv,xv),xv) = sdtasdt0(xv,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_989])]) ).
fof(f3649,plain,
( sdtasdt0(sdtasdt0(xv,xv),xv) = sdtasdt0(xv,sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_231 ),
inference(resolution,[],[f2951,f94]) ).
fof(f14881,plain,
( spl2_988
| ~ spl2_3
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f3648,f2950,f87,f14878]) ).
fof(f14878,plain,
( spl2_988
<=> sdtasdt0(sdtasdt0(xu,xv),xv) = sdtasdt0(xu,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_988])]) ).
fof(f14876,plain,
( spl2_987
| ~ spl2_2
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f3647,f2950,f82,f14873]) ).
fof(f14873,plain,
( spl2_987
<=> sdtasdt0(sdtasdt0(xy,xv),xv) = sdtasdt0(xy,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_987])]) ).
fof(f14871,plain,
( spl2_986
| ~ spl2_1
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f3646,f2950,f77,f14868]) ).
fof(f14868,plain,
( spl2_986
<=> sdtasdt0(sdtasdt0(xx,xv),xv) = sdtasdt0(xx,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_986])]) ).
fof(f14865,plain,
( spl2_985
| ~ spl2_4
| ~ spl2_140
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f3637,f2944,f1697,f92,f14862]) ).
fof(f3637,plain,
( sdtasdt0(xv,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xu,xv),xv)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_230 ),
inference(forward_demodulation,[],[f3630,f1699]) ).
fof(f3630,plain,
( sdtasdt0(xv,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xv,xu),xv)
| ~ spl2_4
| ~ spl2_230 ),
inference(resolution,[],[f2945,f94]) ).
fof(f14860,plain,
( spl2_984
| ~ spl2_3
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f3629,f2944,f87,f14857]) ).
fof(f14857,plain,
( spl2_984
<=> sdtasdt0(xu,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xu,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_984])]) ).
fof(f3629,plain,
( sdtasdt0(xu,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xu,xu),xv)
| ~ spl2_3
| ~ spl2_230 ),
inference(resolution,[],[f2945,f89]) ).
fof(f14855,plain,
( spl2_983
| ~ spl2_2
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f3628,f2944,f82,f14852]) ).
fof(f14852,plain,
( spl2_983
<=> sdtasdt0(xy,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xy,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_983])]) ).
fof(f14850,plain,
( spl2_982
| ~ spl2_1
| ~ spl2_230 ),
inference(avatar_split_clause,[],[f3627,f2944,f77,f14847]) ).
fof(f14847,plain,
( spl2_982
<=> sdtasdt0(xx,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(xx,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_982])]) ).
fof(f14844,plain,
( spl2_981
| ~ spl2_4
| ~ spl2_139
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f3618,f2940,f1692,f92,f14841]) ).
fof(f3618,plain,
( sdtasdt0(xv,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xv),xv)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_229 ),
inference(forward_demodulation,[],[f3609,f1694]) ).
fof(f3609,plain,
( sdtasdt0(xv,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xv,xy),xv)
| ~ spl2_4
| ~ spl2_229 ),
inference(resolution,[],[f2941,f94]) ).
fof(f14838,plain,
( spl2_980
| ~ spl2_3
| ~ spl2_138
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f3617,f2940,f1687,f87,f14835]) ).
fof(f3617,plain,
( sdtasdt0(xu,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xu),xv)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_229 ),
inference(forward_demodulation,[],[f3608,f1689]) ).
fof(f3608,plain,
( sdtasdt0(xu,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xu,xy),xv)
| ~ spl2_3
| ~ spl2_229 ),
inference(resolution,[],[f2941,f89]) ).
fof(f14831,plain,
( spl2_979
| ~ spl2_2
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f3607,f2940,f82,f14828]) ).
fof(f14828,plain,
( spl2_979
<=> sdtasdt0(xy,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xy),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_979])]) ).
fof(f3607,plain,
( sdtasdt0(xy,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xy,xy),xv)
| ~ spl2_2
| ~ spl2_229 ),
inference(resolution,[],[f2941,f84]) ).
fof(f14826,plain,
( spl2_978
| ~ spl2_1
| ~ spl2_229 ),
inference(avatar_split_clause,[],[f3606,f2940,f77,f14823]) ).
fof(f14823,plain,
( spl2_978
<=> sdtasdt0(xx,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(xx,xy),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_978])]) ).
fof(f14820,plain,
( spl2_977
| ~ spl2_4
| ~ spl2_137
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f3597,f2936,f1682,f92,f14817]) ).
fof(f2936,plain,
( spl2_228
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(X0,xx),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_228])]) ).
fof(f3597,plain,
( sdtasdt0(xv,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xv),xv)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_228 ),
inference(forward_demodulation,[],[f3587,f1684]) ).
fof(f3587,plain,
( sdtasdt0(xv,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xv,xx),xv)
| ~ spl2_4
| ~ spl2_228 ),
inference(resolution,[],[f2937,f94]) ).
fof(f2937,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(X0,xx),xv) )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f2936]) ).
fof(f14814,plain,
( spl2_976
| ~ spl2_3
| ~ spl2_136
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f3596,f2936,f1677,f87,f14811]) ).
fof(f3596,plain,
( sdtasdt0(xu,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xu),xv)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_228 ),
inference(forward_demodulation,[],[f3586,f1679]) ).
fof(f3586,plain,
( sdtasdt0(xu,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xu,xx),xv)
| ~ spl2_3
| ~ spl2_228 ),
inference(resolution,[],[f2937,f89]) ).
fof(f14808,plain,
( spl2_975
| ~ spl2_2
| ~ spl2_135
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f3595,f2936,f1672,f82,f14805]) ).
fof(f3595,plain,
( sdtasdt0(xy,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xy),xv)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_228 ),
inference(forward_demodulation,[],[f3585,f1674]) ).
fof(f3585,plain,
( sdtasdt0(xy,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xy,xx),xv)
| ~ spl2_2
| ~ spl2_228 ),
inference(resolution,[],[f2937,f84]) ).
fof(f14803,plain,
( spl2_974
| ~ spl2_1
| ~ spl2_228 ),
inference(avatar_split_clause,[],[f3584,f2936,f77,f14800]) ).
fof(f14800,plain,
( spl2_974
<=> sdtasdt0(xx,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xx),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_974])]) ).
fof(f3584,plain,
( sdtasdt0(xx,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(xx,xx),xv)
| ~ spl2_1
| ~ spl2_228 ),
inference(resolution,[],[f2937,f79]) ).
fof(f14798,plain,
( spl2_973
| ~ spl2_4
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f3569,f2932,f92,f14795]) ).
fof(f14795,plain,
( spl2_973
<=> sdtasdt0(sdtasdt0(xv,xv),xu) = sdtasdt0(xv,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_973])]) ).
fof(f3569,plain,
( sdtasdt0(sdtasdt0(xv,xv),xu) = sdtasdt0(xv,sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_227 ),
inference(resolution,[],[f2933,f94]) ).
fof(f14793,plain,
( spl2_972
| ~ spl2_3
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f3568,f2932,f87,f14790]) ).
fof(f14790,plain,
( spl2_972
<=> sdtasdt0(sdtasdt0(xu,xv),xu) = sdtasdt0(xu,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_972])]) ).
fof(f14788,plain,
( spl2_971
| ~ spl2_2
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f3567,f2932,f82,f14785]) ).
fof(f14785,plain,
( spl2_971
<=> sdtasdt0(sdtasdt0(xy,xv),xu) = sdtasdt0(xy,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_971])]) ).
fof(f14783,plain,
( spl2_970
| ~ spl2_1
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f3566,f2932,f77,f14780]) ).
fof(f14780,plain,
( spl2_970
<=> sdtasdt0(sdtasdt0(xx,xv),xu) = sdtasdt0(xx,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_970])]) ).
fof(f14775,plain,
( spl2_969
| ~ spl2_4
| ~ spl2_140
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f3557,f2928,f1697,f92,f14772]) ).
fof(f3557,plain,
( sdtasdt0(xv,sdtasdt0(xu,xu)) = sdtasdt0(sdtasdt0(xu,xv),xu)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_226 ),
inference(forward_demodulation,[],[f3550,f1699]) ).
fof(f3550,plain,
( sdtasdt0(sdtasdt0(xv,xu),xu) = sdtasdt0(xv,sdtasdt0(xu,xu))
| ~ spl2_4
| ~ spl2_226 ),
inference(resolution,[],[f2929,f94]) ).
fof(f14770,plain,
( spl2_968
| ~ spl2_3
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f3549,f2928,f87,f14767]) ).
fof(f14767,plain,
( spl2_968
<=> sdtasdt0(sdtasdt0(xu,xu),xu) = sdtasdt0(xu,sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_968])]) ).
fof(f3549,plain,
( sdtasdt0(sdtasdt0(xu,xu),xu) = sdtasdt0(xu,sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_226 ),
inference(resolution,[],[f2929,f89]) ).
fof(f14765,plain,
( spl2_967
| ~ spl2_2
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f3548,f2928,f82,f14762]) ).
fof(f14762,plain,
( spl2_967
<=> sdtasdt0(sdtasdt0(xy,xu),xu) = sdtasdt0(xy,sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_967])]) ).
fof(f14760,plain,
( spl2_966
| ~ spl2_1
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f3547,f2928,f77,f14757]) ).
fof(f14757,plain,
( spl2_966
<=> sdtasdt0(sdtasdt0(xx,xu),xu) = sdtasdt0(xx,sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_966])]) ).
fof(f14754,plain,
( spl2_965
| ~ spl2_4
| ~ spl2_139
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f3538,f2924,f1692,f92,f14751]) ).
fof(f3538,plain,
( sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xv),xu)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_225 ),
inference(forward_demodulation,[],[f3529,f1694]) ).
fof(f3529,plain,
( sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xv,xy),xu)
| ~ spl2_4
| ~ spl2_225 ),
inference(resolution,[],[f2925,f94]) ).
fof(f14748,plain,
( spl2_964
| ~ spl2_3
| ~ spl2_138
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f3537,f2924,f1687,f87,f14745]) ).
fof(f3537,plain,
( sdtasdt0(xu,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xu),xu)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_225 ),
inference(forward_demodulation,[],[f3528,f1689]) ).
fof(f3528,plain,
( sdtasdt0(xu,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xu,xy),xu)
| ~ spl2_3
| ~ spl2_225 ),
inference(resolution,[],[f2925,f89]) ).
fof(f14743,plain,
( spl2_963
| ~ spl2_2
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f3527,f2924,f82,f14740]) ).
fof(f14740,plain,
( spl2_963
<=> sdtasdt0(xy,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xy),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_963])]) ).
fof(f3527,plain,
( sdtasdt0(xy,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xy,xy),xu)
| ~ spl2_2
| ~ spl2_225 ),
inference(resolution,[],[f2925,f84]) ).
fof(f14738,plain,
( spl2_962
| ~ spl2_1
| ~ spl2_225 ),
inference(avatar_split_clause,[],[f3526,f2924,f77,f14735]) ).
fof(f14735,plain,
( spl2_962
<=> sdtasdt0(xx,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xx,xy),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_962])]) ).
fof(f14732,plain,
( spl2_961
| ~ spl2_4
| ~ spl2_137
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f3517,f2920,f1682,f92,f14729]) ).
fof(f2920,plain,
( spl2_224
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(X0,xx),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_224])]) ).
fof(f3517,plain,
( sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xv),xu)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_224 ),
inference(forward_demodulation,[],[f3507,f1684]) ).
fof(f3507,plain,
( sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xv,xx),xu)
| ~ spl2_4
| ~ spl2_224 ),
inference(resolution,[],[f2921,f94]) ).
fof(f2921,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(X0,xx),xu) )
| ~ spl2_224 ),
inference(avatar_component_clause,[],[f2920]) ).
fof(f14726,plain,
( spl2_960
| ~ spl2_3
| ~ spl2_136
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f3516,f2920,f1677,f87,f14723]) ).
fof(f3516,plain,
( sdtasdt0(xu,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xu),xu)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_224 ),
inference(forward_demodulation,[],[f3506,f1679]) ).
fof(f3506,plain,
( sdtasdt0(xu,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xu,xx),xu)
| ~ spl2_3
| ~ spl2_224 ),
inference(resolution,[],[f2921,f89]) ).
fof(f14718,plain,
( spl2_959
| ~ spl2_2
| ~ spl2_135
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f3515,f2920,f1672,f82,f14715]) ).
fof(f3515,plain,
( sdtasdt0(xy,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xy),xu)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_224 ),
inference(forward_demodulation,[],[f3505,f1674]) ).
fof(f3505,plain,
( sdtasdt0(xy,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xy,xx),xu)
| ~ spl2_2
| ~ spl2_224 ),
inference(resolution,[],[f2921,f84]) ).
fof(f14713,plain,
( spl2_958
| ~ spl2_1
| ~ spl2_224 ),
inference(avatar_split_clause,[],[f3504,f2920,f77,f14710]) ).
fof(f14710,plain,
( spl2_958
<=> sdtasdt0(xx,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xx),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_958])]) ).
fof(f3504,plain,
( sdtasdt0(xx,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xx,xx),xu)
| ~ spl2_1
| ~ spl2_224 ),
inference(resolution,[],[f2921,f79]) ).
fof(f14708,plain,
( spl2_957
| ~ spl2_4
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f3489,f2916,f92,f14705]) ).
fof(f14705,plain,
( spl2_957
<=> sdtasdt0(sdtasdt0(xv,xv),xy) = sdtasdt0(xv,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_957])]) ).
fof(f3489,plain,
( sdtasdt0(sdtasdt0(xv,xv),xy) = sdtasdt0(xv,sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_223 ),
inference(resolution,[],[f2917,f94]) ).
fof(f14703,plain,
( spl2_956
| ~ spl2_3
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f3488,f2916,f87,f14700]) ).
fof(f14700,plain,
( spl2_956
<=> sdtasdt0(sdtasdt0(xu,xv),xy) = sdtasdt0(xu,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_956])]) ).
fof(f14698,plain,
( spl2_955
| ~ spl2_2
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f3487,f2916,f82,f14695]) ).
fof(f14695,plain,
( spl2_955
<=> sdtasdt0(sdtasdt0(xy,xv),xy) = sdtasdt0(xy,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_955])]) ).
fof(f14693,plain,
( spl2_954
| ~ spl2_1
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f3486,f2916,f77,f14690]) ).
fof(f14690,plain,
( spl2_954
<=> sdtasdt0(sdtasdt0(xx,xv),xy) = sdtasdt0(xx,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_954])]) ).
fof(f14687,plain,
( spl2_953
| ~ spl2_4
| ~ spl2_140
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f3475,f2912,f1697,f92,f14684]) ).
fof(f3475,plain,
( sdtasdt0(xv,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(xu,xv),xy)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_222 ),
inference(forward_demodulation,[],[f3468,f1699]) ).
fof(f3468,plain,
( sdtasdt0(sdtasdt0(xv,xu),xy) = sdtasdt0(xv,sdtasdt0(xy,xu))
| ~ spl2_4
| ~ spl2_222 ),
inference(resolution,[],[f2913,f94]) ).
fof(f14682,plain,
( spl2_952
| ~ spl2_3
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f3467,f2912,f87,f14679]) ).
fof(f14679,plain,
( spl2_952
<=> sdtasdt0(sdtasdt0(xu,xu),xy) = sdtasdt0(xu,sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_952])]) ).
fof(f3467,plain,
( sdtasdt0(sdtasdt0(xu,xu),xy) = sdtasdt0(xu,sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_222 ),
inference(resolution,[],[f2913,f89]) ).
fof(f14677,plain,
( spl2_951
| ~ spl2_2
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f3466,f2912,f82,f14674]) ).
fof(f14674,plain,
( spl2_951
<=> sdtasdt0(sdtasdt0(xy,xu),xy) = sdtasdt0(xy,sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_951])]) ).
fof(f14672,plain,
( spl2_950
| ~ spl2_1
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f3465,f2912,f77,f14669]) ).
fof(f14669,plain,
( spl2_950
<=> sdtasdt0(sdtasdt0(xx,xu),xy) = sdtasdt0(xx,sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_950])]) ).
fof(f14664,plain,
( spl2_949
| ~ spl2_4
| ~ spl2_139
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f3456,f2908,f1692,f92,f14661]) ).
fof(f3456,plain,
( sdtasdt0(xv,sdtasdt0(xy,xy)) = sdtasdt0(sdtasdt0(xy,xv),xy)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_221 ),
inference(forward_demodulation,[],[f3447,f1694]) ).
fof(f3447,plain,
( sdtasdt0(sdtasdt0(xv,xy),xy) = sdtasdt0(xv,sdtasdt0(xy,xy))
| ~ spl2_4
| ~ spl2_221 ),
inference(resolution,[],[f2909,f94]) ).
fof(f14658,plain,
( spl2_948
| ~ spl2_3
| ~ spl2_138
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f3455,f2908,f1687,f87,f14655]) ).
fof(f3455,plain,
( sdtasdt0(xu,sdtasdt0(xy,xy)) = sdtasdt0(sdtasdt0(xy,xu),xy)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_221 ),
inference(forward_demodulation,[],[f3446,f1689]) ).
fof(f3446,plain,
( sdtasdt0(sdtasdt0(xu,xy),xy) = sdtasdt0(xu,sdtasdt0(xy,xy))
| ~ spl2_3
| ~ spl2_221 ),
inference(resolution,[],[f2909,f89]) ).
fof(f14653,plain,
( spl2_947
| ~ spl2_2
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f3445,f2908,f82,f14650]) ).
fof(f14650,plain,
( spl2_947
<=> sdtasdt0(sdtasdt0(xy,xy),xy) = sdtasdt0(xy,sdtasdt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_947])]) ).
fof(f3445,plain,
( sdtasdt0(sdtasdt0(xy,xy),xy) = sdtasdt0(xy,sdtasdt0(xy,xy))
| ~ spl2_2
| ~ spl2_221 ),
inference(resolution,[],[f2909,f84]) ).
fof(f14648,plain,
( spl2_946
| ~ spl2_1
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f3444,f2908,f77,f14645]) ).
fof(f14645,plain,
( spl2_946
<=> sdtasdt0(sdtasdt0(xx,xy),xy) = sdtasdt0(xx,sdtasdt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_946])]) ).
fof(f14642,plain,
( spl2_945
| ~ spl2_4
| ~ spl2_137
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f3435,f2902,f1682,f92,f14639]) ).
fof(f2902,plain,
( spl2_220
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(X0,xx),xy)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_220])]) ).
fof(f3435,plain,
( sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xv),xy)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_220 ),
inference(forward_demodulation,[],[f3425,f1684]) ).
fof(f3425,plain,
( sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xv,xx),xy)
| ~ spl2_4
| ~ spl2_220 ),
inference(resolution,[],[f2903,f94]) ).
fof(f2903,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(X0,xx),xy) )
| ~ spl2_220 ),
inference(avatar_component_clause,[],[f2902]) ).
fof(f14636,plain,
( spl2_944
| ~ spl2_3
| ~ spl2_136
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f3434,f2902,f1677,f87,f14633]) ).
fof(f3434,plain,
( sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xu),xy)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_220 ),
inference(forward_demodulation,[],[f3424,f1679]) ).
fof(f3424,plain,
( sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xu,xx),xy)
| ~ spl2_3
| ~ spl2_220 ),
inference(resolution,[],[f2903,f89]) ).
fof(f14630,plain,
( spl2_943
| ~ spl2_2
| ~ spl2_135
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f3433,f2902,f1672,f82,f14627]) ).
fof(f3433,plain,
( sdtasdt0(xy,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xy),xy)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_220 ),
inference(forward_demodulation,[],[f3423,f1674]) ).
fof(f3423,plain,
( sdtasdt0(xy,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xy,xx),xy)
| ~ spl2_2
| ~ spl2_220 ),
inference(resolution,[],[f2903,f84]) ).
fof(f14625,plain,
( spl2_942
| ~ spl2_1
| ~ spl2_220 ),
inference(avatar_split_clause,[],[f3422,f2902,f77,f14622]) ).
fof(f14622,plain,
( spl2_942
<=> sdtasdt0(xx,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xx),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_942])]) ).
fof(f3422,plain,
( sdtasdt0(xx,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xx,xx),xy)
| ~ spl2_1
| ~ spl2_220 ),
inference(resolution,[],[f2903,f79]) ).
fof(f14620,plain,
( spl2_941
| ~ spl2_4
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f3407,f2898,f92,f14617]) ).
fof(f14617,plain,
( spl2_941
<=> sdtasdt0(sdtasdt0(xv,xv),xx) = sdtasdt0(xv,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_941])]) ).
fof(f3407,plain,
( sdtasdt0(sdtasdt0(xv,xv),xx) = sdtasdt0(xv,sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_219 ),
inference(resolution,[],[f2899,f94]) ).
fof(f14615,plain,
( spl2_940
| ~ spl2_3
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f3406,f2898,f87,f14612]) ).
fof(f14612,plain,
( spl2_940
<=> sdtasdt0(sdtasdt0(xu,xv),xx) = sdtasdt0(xu,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_940])]) ).
fof(f14608,plain,
( spl2_939
| ~ spl2_2
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f3405,f2898,f82,f14605]) ).
fof(f14605,plain,
( spl2_939
<=> sdtasdt0(sdtasdt0(xy,xv),xx) = sdtasdt0(xy,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_939])]) ).
fof(f14603,plain,
( spl2_938
| ~ spl2_1
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f3404,f2898,f77,f14600]) ).
fof(f14600,plain,
( spl2_938
<=> sdtasdt0(sdtasdt0(xx,xv),xx) = sdtasdt0(xx,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_938])]) ).
fof(f14597,plain,
( spl2_937
| ~ spl2_4
| ~ spl2_140
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f3395,f2894,f1697,f92,f14594]) ).
fof(f3395,plain,
( sdtasdt0(xv,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(xu,xv),xx)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_218 ),
inference(forward_demodulation,[],[f3388,f1699]) ).
fof(f3388,plain,
( sdtasdt0(sdtasdt0(xv,xu),xx) = sdtasdt0(xv,sdtasdt0(xx,xu))
| ~ spl2_4
| ~ spl2_218 ),
inference(resolution,[],[f2895,f94]) ).
fof(f14592,plain,
( spl2_936
| ~ spl2_3
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f3387,f2894,f87,f14589]) ).
fof(f14589,plain,
( spl2_936
<=> sdtasdt0(sdtasdt0(xu,xu),xx) = sdtasdt0(xu,sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_936])]) ).
fof(f3387,plain,
( sdtasdt0(sdtasdt0(xu,xu),xx) = sdtasdt0(xu,sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_218 ),
inference(resolution,[],[f2895,f89]) ).
fof(f14587,plain,
( spl2_935
| ~ spl2_2
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f3386,f2894,f82,f14584]) ).
fof(f14584,plain,
( spl2_935
<=> sdtasdt0(sdtasdt0(xy,xu),xx) = sdtasdt0(xy,sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_935])]) ).
fof(f14582,plain,
( spl2_934
| ~ spl2_1
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f3385,f2894,f77,f14579]) ).
fof(f14579,plain,
( spl2_934
<=> sdtasdt0(sdtasdt0(xx,xu),xx) = sdtasdt0(xx,sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_934])]) ).
fof(f14576,plain,
( spl2_933
| ~ spl2_4
| ~ spl2_139
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f3376,f2890,f1692,f92,f14573]) ).
fof(f3376,plain,
( sdtasdt0(xv,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xy,xv),xx)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_217 ),
inference(forward_demodulation,[],[f3367,f1694]) ).
fof(f3367,plain,
( sdtasdt0(sdtasdt0(xv,xy),xx) = sdtasdt0(xv,sdtasdt0(xx,xy))
| ~ spl2_4
| ~ spl2_217 ),
inference(resolution,[],[f2891,f94]) ).
fof(f14570,plain,
( spl2_932
| ~ spl2_3
| ~ spl2_138
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f3375,f2890,f1687,f87,f14567]) ).
fof(f3375,plain,
( sdtasdt0(xu,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(xy,xu),xx)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_217 ),
inference(forward_demodulation,[],[f3366,f1689]) ).
fof(f3366,plain,
( sdtasdt0(sdtasdt0(xu,xy),xx) = sdtasdt0(xu,sdtasdt0(xx,xy))
| ~ spl2_3
| ~ spl2_217 ),
inference(resolution,[],[f2891,f89]) ).
fof(f14565,plain,
( spl2_931
| ~ spl2_2
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f3365,f2890,f82,f14562]) ).
fof(f14562,plain,
( spl2_931
<=> sdtasdt0(sdtasdt0(xy,xy),xx) = sdtasdt0(xy,sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_931])]) ).
fof(f3365,plain,
( sdtasdt0(sdtasdt0(xy,xy),xx) = sdtasdt0(xy,sdtasdt0(xx,xy))
| ~ spl2_2
| ~ spl2_217 ),
inference(resolution,[],[f2891,f84]) ).
fof(f14560,plain,
( spl2_930
| ~ spl2_1
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f3364,f2890,f77,f14557]) ).
fof(f14557,plain,
( spl2_930
<=> sdtasdt0(sdtasdt0(xx,xy),xx) = sdtasdt0(xx,sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_930])]) ).
fof(f14552,plain,
( spl2_929
| ~ spl2_4
| ~ spl2_137
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f3355,f2886,f1682,f92,f14549]) ).
fof(f2886,plain,
( spl2_216
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(X0,sdtasdt0(xx,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_216])]) ).
fof(f3355,plain,
( sdtasdt0(xv,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xv),xx)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_216 ),
inference(forward_demodulation,[],[f3345,f1684]) ).
fof(f3345,plain,
( sdtasdt0(sdtasdt0(xv,xx),xx) = sdtasdt0(xv,sdtasdt0(xx,xx))
| ~ spl2_4
| ~ spl2_216 ),
inference(resolution,[],[f2887,f94]) ).
fof(f2887,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(X0,sdtasdt0(xx,xx)) )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f2886]) ).
fof(f14546,plain,
( spl2_928
| ~ spl2_3
| ~ spl2_136
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f3354,f2886,f1677,f87,f14543]) ).
fof(f3354,plain,
( sdtasdt0(xu,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xu),xx)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_216 ),
inference(forward_demodulation,[],[f3344,f1679]) ).
fof(f3344,plain,
( sdtasdt0(sdtasdt0(xu,xx),xx) = sdtasdt0(xu,sdtasdt0(xx,xx))
| ~ spl2_3
| ~ spl2_216 ),
inference(resolution,[],[f2887,f89]) ).
fof(f14540,plain,
( spl2_927
| ~ spl2_2
| ~ spl2_135
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f3353,f2886,f1672,f82,f14537]) ).
fof(f3353,plain,
( sdtasdt0(xy,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xy),xx)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_216 ),
inference(forward_demodulation,[],[f3343,f1674]) ).
fof(f3343,plain,
( sdtasdt0(sdtasdt0(xy,xx),xx) = sdtasdt0(xy,sdtasdt0(xx,xx))
| ~ spl2_2
| ~ spl2_216 ),
inference(resolution,[],[f2887,f84]) ).
fof(f14535,plain,
( spl2_926
| ~ spl2_1
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f3342,f2886,f77,f14532]) ).
fof(f14532,plain,
( spl2_926
<=> sdtasdt0(sdtasdt0(xx,xx),xx) = sdtasdt0(xx,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_926])]) ).
fof(f3342,plain,
( sdtasdt0(sdtasdt0(xx,xx),xx) = sdtasdt0(xx,sdtasdt0(xx,xx))
| ~ spl2_1
| ~ spl2_216 ),
inference(resolution,[],[f2887,f79]) ).
fof(f14530,plain,
( spl2_925
| ~ spl2_4
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f3328,f2882,f92,f14527]) ).
fof(f14527,plain,
( spl2_925
<=> sdtpldt0(sdtpldt0(xv,xv),xv) = sdtpldt0(xv,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_925])]) ).
fof(f3328,plain,
( sdtpldt0(sdtpldt0(xv,xv),xv) = sdtpldt0(xv,sdtpldt0(xv,xv))
| ~ spl2_4
| ~ spl2_215 ),
inference(resolution,[],[f2883,f94]) ).
fof(f14525,plain,
( spl2_924
| ~ spl2_3
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f3327,f2882,f87,f14522]) ).
fof(f14522,plain,
( spl2_924
<=> sdtpldt0(sdtpldt0(xu,xv),xv) = sdtpldt0(xu,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_924])]) ).
fof(f14520,plain,
( spl2_923
| ~ spl2_2
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f3326,f2882,f82,f14517]) ).
fof(f14517,plain,
( spl2_923
<=> sdtpldt0(sdtpldt0(xy,xv),xv) = sdtpldt0(xy,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_923])]) ).
fof(f14515,plain,
( spl2_922
| ~ spl2_1
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f3325,f2882,f77,f14512]) ).
fof(f14512,plain,
( spl2_922
<=> sdtpldt0(sdtpldt0(xx,xv),xv) = sdtpldt0(xx,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_922])]) ).
fof(f14510,plain,
( spl2_921
| ~ spl2_3
| ~ spl2_214 ),
inference(avatar_split_clause,[],[f3309,f2878,f87,f14507]) ).
fof(f14507,plain,
( spl2_921
<=> sdtpldt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xu,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_921])]) ).
fof(f2878,plain,
( spl2_214
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(X0,xu),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_214])]) ).
fof(f3309,plain,
( sdtpldt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xu,xu),xv)
| ~ spl2_3
| ~ spl2_214 ),
inference(resolution,[],[f2879,f89]) ).
fof(f2879,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(X0,xu),xv) )
| ~ spl2_214 ),
inference(avatar_component_clause,[],[f2878]) ).
fof(f14504,plain,
( spl2_920
| ~ spl2_4
| ~ spl2_133
| ~ spl2_213 ),
inference(avatar_split_clause,[],[f3298,f2874,f1655,f92,f14501]) ).
fof(f3298,plain,
( sdtpldt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xy,xv),xv)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_213 ),
inference(forward_demodulation,[],[f3290,f1657]) ).
fof(f3290,plain,
( sdtpldt0(xv,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xv,xy),xv)
| ~ spl2_4
| ~ spl2_213 ),
inference(resolution,[],[f2875,f94]) ).
fof(f14498,plain,
( spl2_919
| ~ spl2_45
| ~ spl2_125
| ~ spl2_789 ),
inference(avatar_split_clause,[],[f13794,f13248,f1282,f408,f14495]) ).
fof(f13794,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,sdtpldt0(xu,xv)))
| ~ spl2_45
| ~ spl2_125
| ~ spl2_789 ),
inference(forward_demodulation,[],[f13783,f1377]) ).
fof(f13783,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xu,xv),xv))
| ~ spl2_125
| ~ spl2_789 ),
inference(resolution,[],[f13249,f1283]) ).
fof(f14493,plain,
( spl2_918
| ~ spl2_3
| ~ spl2_43
| ~ spl2_125
| ~ spl2_132
| ~ spl2_207
| ~ spl2_213 ),
inference(avatar_split_clause,[],[f3297,f2874,f2848,f1650,f1282,f400,f87,f14490]) ).
fof(f14490,plain,
( spl2_918
<=> sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xy,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_918])]) ).
fof(f3297,plain,
( sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xy,xu),xv)
| ~ spl2_3
| ~ spl2_43
| ~ spl2_125
| ~ spl2_132
| ~ spl2_207
| ~ spl2_213 ),
inference(forward_demodulation,[],[f3296,f3177]) ).
fof(f3177,plain,
( sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(xu,sdtpldt0(xy,xv))
| ~ spl2_3
| ~ spl2_43
| ~ spl2_125
| ~ spl2_207 ),
inference(forward_demodulation,[],[f3169,f1375]) ).
fof(f3169,plain,
( sdtpldt0(sdtpldt0(xu,xv),xy) = sdtpldt0(xu,sdtpldt0(xy,xv))
| ~ spl2_3
| ~ spl2_207 ),
inference(resolution,[],[f2849,f89]) ).
fof(f3296,plain,
( sdtpldt0(xu,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xy,xu),xv)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_213 ),
inference(forward_demodulation,[],[f3289,f1652]) ).
fof(f3289,plain,
( sdtpldt0(xu,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xu,xy),xv)
| ~ spl2_3
| ~ spl2_213 ),
inference(resolution,[],[f2875,f89]) ).
fof(f14488,plain,
( spl2_917
| ~ spl2_2
| ~ spl2_213 ),
inference(avatar_split_clause,[],[f3288,f2874,f82,f14485]) ).
fof(f14485,plain,
( spl2_917
<=> sdtpldt0(xy,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xy,xy),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_917])]) ).
fof(f3288,plain,
( sdtpldt0(xy,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xy,xy),xv)
| ~ spl2_2
| ~ spl2_213 ),
inference(resolution,[],[f2875,f84]) ).
fof(f14483,plain,
( spl2_916
| ~ spl2_1
| ~ spl2_213 ),
inference(avatar_split_clause,[],[f3287,f2874,f77,f14480]) ).
fof(f14480,plain,
( spl2_916
<=> sdtpldt0(xx,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(xx,xy),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_916])]) ).
fof(f14477,plain,
( spl2_915
| ~ spl2_4
| ~ spl2_131
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f3276,f2870,f1645,f92,f14474]) ).
fof(f2870,plain,
( spl2_212
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(X0,xx),xv)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_212])]) ).
fof(f3276,plain,
( sdtpldt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xv),xv)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_212 ),
inference(forward_demodulation,[],[f3267,f1647]) ).
fof(f3267,plain,
( sdtpldt0(xv,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xv,xx),xv)
| ~ spl2_4
| ~ spl2_212 ),
inference(resolution,[],[f2871,f94]) ).
fof(f2871,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(X0,xx),xv) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f2870]) ).
fof(f14472,plain,
( spl2_914
| ~ spl2_3
| ~ spl2_42
| ~ spl2_125
| ~ spl2_130
| ~ spl2_203
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f3275,f2870,f2832,f1640,f1282,f396,f87,f14469]) ).
fof(f14469,plain,
( spl2_914
<=> sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xx,xu),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_914])]) ).
fof(f3275,plain,
( sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xx,xu),xv)
| ~ spl2_3
| ~ spl2_42
| ~ spl2_125
| ~ spl2_130
| ~ spl2_203
| ~ spl2_212 ),
inference(forward_demodulation,[],[f3274,f3099]) ).
fof(f3099,plain,
( sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(xu,sdtpldt0(xx,xv))
| ~ spl2_3
| ~ spl2_42
| ~ spl2_125
| ~ spl2_203 ),
inference(forward_demodulation,[],[f3091,f1374]) ).
fof(f3091,plain,
( sdtpldt0(sdtpldt0(xu,xv),xx) = sdtpldt0(xu,sdtpldt0(xx,xv))
| ~ spl2_3
| ~ spl2_203 ),
inference(resolution,[],[f2833,f89]) ).
fof(f3274,plain,
( sdtpldt0(xu,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xu),xv)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_212 ),
inference(forward_demodulation,[],[f3266,f1642]) ).
fof(f3266,plain,
( sdtpldt0(xu,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xu,xx),xv)
| ~ spl2_3
| ~ spl2_212 ),
inference(resolution,[],[f2871,f89]) ).
fof(f14466,plain,
( spl2_913
| ~ spl2_2
| ~ spl2_129
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f3273,f2870,f1635,f82,f14463]) ).
fof(f3273,plain,
( sdtpldt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xy),xv)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_212 ),
inference(forward_demodulation,[],[f3265,f1637]) ).
fof(f3265,plain,
( sdtpldt0(xy,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xy,xx),xv)
| ~ spl2_2
| ~ spl2_212 ),
inference(resolution,[],[f2871,f84]) ).
fof(f14461,plain,
( spl2_912
| ~ spl2_1
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f3264,f2870,f77,f14458]) ).
fof(f14458,plain,
( spl2_912
<=> sdtpldt0(xx,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xx),xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_912])]) ).
fof(f3264,plain,
( sdtpldt0(xx,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(xx,xx),xv)
| ~ spl2_1
| ~ spl2_212 ),
inference(resolution,[],[f2871,f79]) ).
fof(f14455,plain,
( spl2_911
| ~ spl2_4
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f3249,f2866,f92,f14452]) ).
fof(f2866,plain,
( spl2_211
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xu) = sdtpldt0(X0,sdtpldt0(xu,xv))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_211])]) ).
fof(f3249,plain,
( sdtpldt0(xv,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xv,xv),xu)
| ~ spl2_4
| ~ spl2_211 ),
inference(resolution,[],[f2867,f94]) ).
fof(f2867,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xv),xu) = sdtpldt0(X0,sdtpldt0(xu,xv)) )
| ~ spl2_211 ),
inference(avatar_component_clause,[],[f2866]) ).
fof(f14450,plain,
( spl2_910
| ~ spl2_4
| ~ spl2_44
| ~ spl2_125
| ~ spl2_134
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f3237,f2860,f1667,f1282,f404,f92,f14447]) ).
fof(f14447,plain,
( spl2_910
<=> sdtpldt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(xv,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_910])]) ).
fof(f1667,plain,
( spl2_134
<=> sdtpldt0(xu,xv) = sdtpldt0(xv,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_134])]) ).
fof(f3237,plain,
( sdtpldt0(xu,sdtpldt0(xu,xv)) = sdtpldt0(xv,sdtpldt0(xu,xu))
| ~ spl2_4
| ~ spl2_44
| ~ spl2_125
| ~ spl2_134
| ~ spl2_210 ),
inference(forward_demodulation,[],[f3236,f1376]) ).
fof(f3236,plain,
( sdtpldt0(sdtpldt0(xu,xv),xu) = sdtpldt0(xv,sdtpldt0(xu,xu))
| ~ spl2_4
| ~ spl2_134
| ~ spl2_210 ),
inference(forward_demodulation,[],[f3230,f1669]) ).
fof(f1669,plain,
( sdtpldt0(xu,xv) = sdtpldt0(xv,xu)
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f3230,plain,
( sdtpldt0(sdtpldt0(xv,xu),xu) = sdtpldt0(xv,sdtpldt0(xu,xu))
| ~ spl2_4
| ~ spl2_210 ),
inference(resolution,[],[f2861,f94]) ).
fof(f14445,plain,
( spl2_909
| ~ spl2_3
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f3229,f2860,f87,f14442]) ).
fof(f14442,plain,
( spl2_909
<=> sdtpldt0(sdtpldt0(xu,xu),xu) = sdtpldt0(xu,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_909])]) ).
fof(f3229,plain,
( sdtpldt0(sdtpldt0(xu,xu),xu) = sdtpldt0(xu,sdtpldt0(xu,xu))
| ~ spl2_3
| ~ spl2_210 ),
inference(resolution,[],[f2861,f89]) ).
fof(f14440,plain,
( spl2_908
| ~ spl2_44
| ~ spl2_125
| ~ spl2_788 ),
inference(avatar_split_clause,[],[f13776,f13244,f1282,f404,f14437]) ).
fof(f14437,plain,
( spl2_908
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_908])]) ).
fof(f13776,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,sdtpldt0(xu,xv)))
| ~ spl2_44
| ~ spl2_125
| ~ spl2_788 ),
inference(forward_demodulation,[],[f13765,f1376]) ).
fof(f13765,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xu,xv),xu))
| ~ spl2_125
| ~ spl2_788 ),
inference(resolution,[],[f13245,f1283]) ).
fof(f14435,plain,
( spl2_907
| ~ spl2_2
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f3228,f2860,f82,f14432]) ).
fof(f14432,plain,
( spl2_907
<=> sdtpldt0(sdtpldt0(xy,xu),xu) = sdtpldt0(xy,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_907])]) ).
fof(f14430,plain,
( spl2_906
| ~ spl2_1
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f3227,f2860,f77,f14427]) ).
fof(f14427,plain,
( spl2_906
<=> sdtpldt0(sdtpldt0(xx,xu),xu) = sdtpldt0(xx,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_906])]) ).
fof(f14425,plain,
( spl2_905
| ~ spl2_4
| ~ spl2_43
| ~ spl2_125
| ~ spl2_133
| ~ spl2_134
| ~ spl2_206
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f3218,f2856,f2844,f1667,f1655,f1282,f400,f92,f14422]) ).
fof(f14422,plain,
( spl2_905
<=> sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xy,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_905])]) ).
fof(f3218,plain,
( sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xy,xv),xu)
| ~ spl2_4
| ~ spl2_43
| ~ spl2_125
| ~ spl2_133
| ~ spl2_134
| ~ spl2_206
| ~ spl2_209 ),
inference(forward_demodulation,[],[f3217,f3158]) ).
fof(f3158,plain,
( sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(xv,sdtpldt0(xy,xu))
| ~ spl2_4
| ~ spl2_43
| ~ spl2_125
| ~ spl2_134
| ~ spl2_206 ),
inference(forward_demodulation,[],[f3157,f1375]) ).
fof(f3157,plain,
( sdtpldt0(sdtpldt0(xu,xv),xy) = sdtpldt0(xv,sdtpldt0(xy,xu))
| ~ spl2_4
| ~ spl2_134
| ~ spl2_206 ),
inference(forward_demodulation,[],[f3150,f1669]) ).
fof(f3150,plain,
( sdtpldt0(sdtpldt0(xv,xu),xy) = sdtpldt0(xv,sdtpldt0(xy,xu))
| ~ spl2_4
| ~ spl2_206 ),
inference(resolution,[],[f2845,f94]) ).
fof(f3217,plain,
( sdtpldt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xy,xv),xu)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_209 ),
inference(forward_demodulation,[],[f3210,f1657]) ).
fof(f3210,plain,
( sdtpldt0(xv,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xv,xy),xu)
| ~ spl2_4
| ~ spl2_209 ),
inference(resolution,[],[f2857,f94]) ).
fof(f14419,plain,
( spl2_904
| ~ spl2_3
| ~ spl2_132
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f3216,f2856,f1650,f87,f14416]) ).
fof(f3216,plain,
( sdtpldt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xy,xu),xu)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_209 ),
inference(forward_demodulation,[],[f3209,f1652]) ).
fof(f3209,plain,
( sdtpldt0(xu,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xu,xy),xu)
| ~ spl2_3
| ~ spl2_209 ),
inference(resolution,[],[f2857,f89]) ).
fof(f14414,plain,
( spl2_903
| ~ spl2_2
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f3208,f2856,f82,f14411]) ).
fof(f14411,plain,
( spl2_903
<=> sdtpldt0(xy,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xy,xy),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_903])]) ).
fof(f3208,plain,
( sdtpldt0(xy,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xy,xy),xu)
| ~ spl2_2
| ~ spl2_209 ),
inference(resolution,[],[f2857,f84]) ).
fof(f14409,plain,
( spl2_902
| ~ spl2_1
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f3207,f2856,f77,f14406]) ).
fof(f14406,plain,
( spl2_902
<=> sdtpldt0(xx,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(xx,xy),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_902])]) ).
fof(f14404,plain,
( spl2_901
| ~ spl2_4
| ~ spl2_42
| ~ spl2_125
| ~ spl2_131
| ~ spl2_134
| ~ spl2_202
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f3198,f2852,f2828,f1667,f1645,f1282,f396,f92,f14401]) ).
fof(f14401,plain,
( spl2_901
<=> sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xx,xv),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_901])]) ).
fof(f2852,plain,
( spl2_208
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(X0,xx),xu)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_208])]) ).
fof(f3198,plain,
( sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(xx,xv),xu)
| ~ spl2_4
| ~ spl2_42
| ~ spl2_125
| ~ spl2_131
| ~ spl2_134
| ~ spl2_202
| ~ spl2_208 ),
inference(forward_demodulation,[],[f3197,f3078]) ).
fof(f3078,plain,
( sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(xv,sdtpldt0(xx,xu))
| ~ spl2_4
| ~ spl2_42
| ~ spl2_125
| ~ spl2_134
| ~ spl2_202 ),
inference(forward_demodulation,[],[f3077,f1374]) ).
fof(f3077,plain,
( sdtpldt0(sdtpldt0(xu,xv),xx) = sdtpldt0(xv,sdtpldt0(xx,xu))
| ~ spl2_4
| ~ spl2_134
| ~ spl2_202 ),
inference(forward_demodulation,[],[f3070,f1669]) ).
fof(f3070,plain,
( sdtpldt0(sdtpldt0(xv,xu),xx) = sdtpldt0(xv,sdtpldt0(xx,xu))
| ~ spl2_4
| ~ spl2_202 ),
inference(resolution,[],[f2829,f94]) ).
fof(f3197,plain,
( sdtpldt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xv),xu)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_208 ),
inference(forward_demodulation,[],[f3189,f1647]) ).
fof(f3189,plain,
( sdtpldt0(xv,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xv,xx),xu)
| ~ spl2_4
| ~ spl2_208 ),
inference(resolution,[],[f2853,f94]) ).
fof(f2853,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(X0,xx),xu) )
| ~ spl2_208 ),
inference(avatar_component_clause,[],[f2852]) ).
fof(f14398,plain,
( spl2_900
| ~ spl2_3
| ~ spl2_130
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f3196,f2852,f1640,f87,f14395]) ).
fof(f3196,plain,
( sdtpldt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xu),xu)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_208 ),
inference(forward_demodulation,[],[f3188,f1642]) ).
fof(f3188,plain,
( sdtpldt0(xu,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xu,xx),xu)
| ~ spl2_3
| ~ spl2_208 ),
inference(resolution,[],[f2853,f89]) ).
fof(f14392,plain,
( spl2_899
| ~ spl2_2
| ~ spl2_129
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f3195,f2852,f1635,f82,f14389]) ).
fof(f3195,plain,
( sdtpldt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xy),xu)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_208 ),
inference(forward_demodulation,[],[f3187,f1637]) ).
fof(f3187,plain,
( sdtpldt0(xy,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xy,xx),xu)
| ~ spl2_2
| ~ spl2_208 ),
inference(resolution,[],[f2853,f84]) ).
fof(f14387,plain,
( spl2_898
| ~ spl2_1
| ~ spl2_208 ),
inference(avatar_split_clause,[],[f3186,f2852,f77,f14384]) ).
fof(f14384,plain,
( spl2_898
<=> sdtpldt0(xx,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xx),xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_898])]) ).
fof(f3186,plain,
( sdtpldt0(xx,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(xx,xx),xu)
| ~ spl2_1
| ~ spl2_208 ),
inference(resolution,[],[f2853,f79]) ).
fof(f14382,plain,
( spl2_897
| ~ spl2_43
| ~ spl2_125
| ~ spl2_787 ),
inference(avatar_split_clause,[],[f13757,f13240,f1282,f400,f14379]) ).
fof(f14379,plain,
( spl2_897
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_897])]) ).
fof(f13757,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_43
| ~ spl2_125
| ~ spl2_787 ),
inference(forward_demodulation,[],[f13746,f1375]) ).
fof(f13746,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xu,xv),xy))
| ~ spl2_125
| ~ spl2_787 ),
inference(resolution,[],[f13241,f1283]) ).
fof(f14377,plain,
( spl2_896
| ~ spl2_3
| ~ spl2_43
| ~ spl2_125
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f3177,f2848,f1282,f400,f87,f14374]) ).
fof(f14374,plain,
( spl2_896
<=> sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(xu,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_896])]) ).
fof(f14372,plain,
( spl2_895
| ~ spl2_4
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f3170,f2848,f92,f14369]) ).
fof(f14369,plain,
( spl2_895
<=> sdtpldt0(sdtpldt0(xv,xv),xy) = sdtpldt0(xv,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_895])]) ).
fof(f3170,plain,
( sdtpldt0(sdtpldt0(xv,xv),xy) = sdtpldt0(xv,sdtpldt0(xy,xv))
| ~ spl2_4
| ~ spl2_207 ),
inference(resolution,[],[f2849,f94]) ).
fof(f14367,plain,
( spl2_894
| ~ spl2_2
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f3168,f2848,f82,f14364]) ).
fof(f14364,plain,
( spl2_894
<=> sdtpldt0(sdtpldt0(xy,xv),xy) = sdtpldt0(xy,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_894])]) ).
fof(f14362,plain,
( spl2_893
| ~ spl2_1
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f3167,f2848,f77,f14359]) ).
fof(f14359,plain,
( spl2_893
<=> sdtpldt0(sdtpldt0(xx,xv),xy) = sdtpldt0(xx,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_893])]) ).
fof(f14357,plain,
( spl2_892
| ~ spl2_4
| ~ spl2_43
| ~ spl2_125
| ~ spl2_134
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f3158,f2844,f1667,f1282,f400,f92,f14354]) ).
fof(f14354,plain,
( spl2_892
<=> sdtpldt0(xy,sdtpldt0(xu,xv)) = sdtpldt0(xv,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_892])]) ).
fof(f14352,plain,
( spl2_891
| ~ spl2_3
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f3149,f2844,f87,f14349]) ).
fof(f14349,plain,
( spl2_891
<=> sdtpldt0(sdtpldt0(xu,xu),xy) = sdtpldt0(xu,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_891])]) ).
fof(f3149,plain,
( sdtpldt0(sdtpldt0(xu,xu),xy) = sdtpldt0(xu,sdtpldt0(xy,xu))
| ~ spl2_3
| ~ spl2_206 ),
inference(resolution,[],[f2845,f89]) ).
fof(f14347,plain,
( spl2_890
| ~ spl2_2
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f3148,f2844,f82,f14344]) ).
fof(f14344,plain,
( spl2_890
<=> sdtpldt0(sdtpldt0(xy,xu),xy) = sdtpldt0(xy,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_890])]) ).
fof(f14342,plain,
( spl2_889
| ~ spl2_1
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f3147,f2844,f77,f14339]) ).
fof(f14339,plain,
( spl2_889
<=> sdtpldt0(sdtpldt0(xx,xu),xy) = sdtpldt0(xx,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_889])]) ).
fof(f14336,plain,
( spl2_888
| ~ spl2_4
| ~ spl2_133
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f3138,f2840,f1655,f92,f14333]) ).
fof(f3138,plain,
( sdtpldt0(xv,sdtpldt0(xy,xy)) = sdtpldt0(sdtpldt0(xy,xv),xy)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_205 ),
inference(forward_demodulation,[],[f3131,f1657]) ).
fof(f3131,plain,
( sdtpldt0(sdtpldt0(xv,xy),xy) = sdtpldt0(xv,sdtpldt0(xy,xy))
| ~ spl2_4
| ~ spl2_205 ),
inference(resolution,[],[f2841,f94]) ).
fof(f14330,plain,
( spl2_887
| ~ spl2_3
| ~ spl2_132
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f3137,f2840,f1650,f87,f14327]) ).
fof(f3137,plain,
( sdtpldt0(xu,sdtpldt0(xy,xy)) = sdtpldt0(sdtpldt0(xy,xu),xy)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_205 ),
inference(forward_demodulation,[],[f3130,f1652]) ).
fof(f3130,plain,
( sdtpldt0(sdtpldt0(xu,xy),xy) = sdtpldt0(xu,sdtpldt0(xy,xy))
| ~ spl2_3
| ~ spl2_205 ),
inference(resolution,[],[f2841,f89]) ).
fof(f14325,plain,
( spl2_886
| ~ spl2_42
| ~ spl2_125
| ~ spl2_786 ),
inference(avatar_split_clause,[],[f13737,f13236,f1282,f396,f14322]) ).
fof(f14322,plain,
( spl2_886
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_886])]) ).
fof(f13737,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_42
| ~ spl2_125
| ~ spl2_786 ),
inference(forward_demodulation,[],[f13726,f1374]) ).
fof(f13726,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(sdtpldt0(xu,xv),xx))
| ~ spl2_125
| ~ spl2_786 ),
inference(resolution,[],[f13237,f1283]) ).
fof(f14320,plain,
( spl2_885
| ~ spl2_2
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f3129,f2840,f82,f14317]) ).
fof(f14317,plain,
( spl2_885
<=> sdtpldt0(sdtpldt0(xy,xy),xy) = sdtpldt0(xy,sdtpldt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_885])]) ).
fof(f3129,plain,
( sdtpldt0(sdtpldt0(xy,xy),xy) = sdtpldt0(xy,sdtpldt0(xy,xy))
| ~ spl2_2
| ~ spl2_205 ),
inference(resolution,[],[f2841,f84]) ).
fof(f14315,plain,
( spl2_884
| ~ spl2_1
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f3128,f2840,f77,f14312]) ).
fof(f14312,plain,
( spl2_884
<=> sdtpldt0(sdtpldt0(xx,xy),xy) = sdtpldt0(xx,sdtpldt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_884])]) ).
fof(f14309,plain,
( spl2_883
| ~ spl2_4
| ~ spl2_131
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f3119,f2836,f1645,f92,f14306]) ).
fof(f2836,plain,
( spl2_204
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(X0,xx),xy)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_204])]) ).
fof(f3119,plain,
( sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xv),xy)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_204 ),
inference(forward_demodulation,[],[f3111,f1647]) ).
fof(f3111,plain,
( sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xv,xx),xy)
| ~ spl2_4
| ~ spl2_204 ),
inference(resolution,[],[f2837,f94]) ).
fof(f2837,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(X0,xx),xy) )
| ~ spl2_204 ),
inference(avatar_component_clause,[],[f2836]) ).
fof(f14303,plain,
( spl2_882
| ~ spl2_3
| ~ spl2_130
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f3118,f2836,f1640,f87,f14300]) ).
fof(f3118,plain,
( sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xu),xy)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_204 ),
inference(forward_demodulation,[],[f3110,f1642]) ).
fof(f3110,plain,
( sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xu,xx),xy)
| ~ spl2_3
| ~ spl2_204 ),
inference(resolution,[],[f2837,f89]) ).
fof(f14297,plain,
( spl2_881
| ~ spl2_2
| ~ spl2_129
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f3117,f2836,f1635,f82,f14294]) ).
fof(f3117,plain,
( sdtpldt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xy),xy)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_204 ),
inference(forward_demodulation,[],[f3109,f1637]) ).
fof(f3109,plain,
( sdtpldt0(xy,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xy,xx),xy)
| ~ spl2_2
| ~ spl2_204 ),
inference(resolution,[],[f2837,f84]) ).
fof(f14292,plain,
( spl2_880
| ~ spl2_1
| ~ spl2_204 ),
inference(avatar_split_clause,[],[f3108,f2836,f77,f14289]) ).
fof(f14289,plain,
( spl2_880
<=> sdtpldt0(xx,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xx),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_880])]) ).
fof(f3108,plain,
( sdtpldt0(xx,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xx,xx),xy)
| ~ spl2_1
| ~ spl2_204 ),
inference(resolution,[],[f2837,f79]) ).
fof(f14287,plain,
( spl2_879
| ~ spl2_3
| ~ spl2_42
| ~ spl2_125
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f3099,f2832,f1282,f396,f87,f14284]) ).
fof(f14284,plain,
( spl2_879
<=> sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(xu,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_879])]) ).
fof(f14282,plain,
( spl2_878
| ~ spl2_4
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f3092,f2832,f92,f14279]) ).
fof(f14279,plain,
( spl2_878
<=> sdtpldt0(sdtpldt0(xv,xv),xx) = sdtpldt0(xv,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_878])]) ).
fof(f3092,plain,
( sdtpldt0(sdtpldt0(xv,xv),xx) = sdtpldt0(xv,sdtpldt0(xx,xv))
| ~ spl2_4
| ~ spl2_203 ),
inference(resolution,[],[f2833,f94]) ).
fof(f14277,plain,
( spl2_877
| ~ spl2_2
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f3090,f2832,f82,f14274]) ).
fof(f14274,plain,
( spl2_877
<=> sdtpldt0(sdtpldt0(xy,xv),xx) = sdtpldt0(xy,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_877])]) ).
fof(f14272,plain,
( spl2_876
| ~ spl2_1
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f3089,f2832,f77,f14269]) ).
fof(f14269,plain,
( spl2_876
<=> sdtpldt0(sdtpldt0(xx,xv),xx) = sdtpldt0(xx,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_876])]) ).
fof(f14267,plain,
( spl2_875
| ~ spl2_50
| ~ spl2_125
| ~ spl2_781 ),
inference(avatar_split_clause,[],[f13646,f13216,f1282,f429,f14264]) ).
fof(f14264,plain,
( spl2_875
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_875])]) ).
fof(f13646,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,sdtpldt0(xu,xv)))
| ~ spl2_50
| ~ spl2_125
| ~ spl2_781 ),
inference(forward_demodulation,[],[f13635,f1381]) ).
fof(f13635,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xu,xv),xv))
| ~ spl2_125
| ~ spl2_781 ),
inference(resolution,[],[f13217,f1283]) ).
fof(f14262,plain,
( spl2_874
| ~ spl2_4
| ~ spl2_42
| ~ spl2_125
| ~ spl2_134
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f3078,f2828,f1667,f1282,f396,f92,f14259]) ).
fof(f14259,plain,
( spl2_874
<=> sdtpldt0(xx,sdtpldt0(xu,xv)) = sdtpldt0(xv,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_874])]) ).
fof(f14257,plain,
( spl2_873
| ~ spl2_3
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f3069,f2828,f87,f14254]) ).
fof(f14254,plain,
( spl2_873
<=> sdtpldt0(sdtpldt0(xu,xu),xx) = sdtpldt0(xu,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_873])]) ).
fof(f3069,plain,
( sdtpldt0(sdtpldt0(xu,xu),xx) = sdtpldt0(xu,sdtpldt0(xx,xu))
| ~ spl2_3
| ~ spl2_202 ),
inference(resolution,[],[f2829,f89]) ).
fof(f14252,plain,
( spl2_872
| ~ spl2_2
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f3068,f2828,f82,f14249]) ).
fof(f14249,plain,
( spl2_872
<=> sdtpldt0(sdtpldt0(xy,xu),xx) = sdtpldt0(xy,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_872])]) ).
fof(f14247,plain,
( spl2_871
| ~ spl2_1
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f3067,f2828,f77,f14244]) ).
fof(f14244,plain,
( spl2_871
<=> sdtpldt0(sdtpldt0(xx,xu),xx) = sdtpldt0(xx,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_871])]) ).
fof(f14241,plain,
( spl2_870
| ~ spl2_4
| ~ spl2_133
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f3058,f2824,f1655,f92,f14238]) ).
fof(f3058,plain,
( sdtpldt0(xv,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xy,xv),xx)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_201 ),
inference(forward_demodulation,[],[f3050,f1657]) ).
fof(f3050,plain,
( sdtpldt0(sdtpldt0(xv,xy),xx) = sdtpldt0(xv,sdtpldt0(xx,xy))
| ~ spl2_4
| ~ spl2_201 ),
inference(resolution,[],[f2825,f94]) ).
fof(f14235,plain,
( spl2_869
| ~ spl2_3
| ~ spl2_132
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f3057,f2824,f1650,f87,f14232]) ).
fof(f3057,plain,
( sdtpldt0(xu,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(xy,xu),xx)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_201 ),
inference(forward_demodulation,[],[f3049,f1652]) ).
fof(f3049,plain,
( sdtpldt0(sdtpldt0(xu,xy),xx) = sdtpldt0(xu,sdtpldt0(xx,xy))
| ~ spl2_3
| ~ spl2_201 ),
inference(resolution,[],[f2825,f89]) ).
fof(f14230,plain,
( spl2_868
| ~ spl2_2
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f3048,f2824,f82,f14227]) ).
fof(f14227,plain,
( spl2_868
<=> sdtpldt0(sdtpldt0(xy,xy),xx) = sdtpldt0(xy,sdtpldt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_868])]) ).
fof(f3048,plain,
( sdtpldt0(sdtpldt0(xy,xy),xx) = sdtpldt0(xy,sdtpldt0(xx,xy))
| ~ spl2_2
| ~ spl2_201 ),
inference(resolution,[],[f2825,f84]) ).
fof(f14225,plain,
( spl2_867
| ~ spl2_1
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f3047,f2824,f77,f14222]) ).
fof(f14222,plain,
( spl2_867
<=> sdtpldt0(sdtpldt0(xx,xy),xx) = sdtpldt0(xx,sdtpldt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_867])]) ).
fof(f14219,plain,
( spl2_866
| ~ spl2_4
| ~ spl2_131
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f3038,f2818,f1645,f92,f14216]) ).
fof(f2818,plain,
( spl2_200
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(X0,sdtpldt0(xx,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_200])]) ).
fof(f3038,plain,
( sdtpldt0(xv,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xv),xx)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_200 ),
inference(forward_demodulation,[],[f3030,f1647]) ).
fof(f3030,plain,
( sdtpldt0(sdtpldt0(xv,xx),xx) = sdtpldt0(xv,sdtpldt0(xx,xx))
| ~ spl2_4
| ~ spl2_200 ),
inference(resolution,[],[f2819,f94]) ).
fof(f2819,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(X0,sdtpldt0(xx,xx)) )
| ~ spl2_200 ),
inference(avatar_component_clause,[],[f2818]) ).
fof(f14213,plain,
( spl2_865
| ~ spl2_3
| ~ spl2_130
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f3037,f2818,f1640,f87,f14210]) ).
fof(f3037,plain,
( sdtpldt0(xu,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xu),xx)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_200 ),
inference(forward_demodulation,[],[f3029,f1642]) ).
fof(f3029,plain,
( sdtpldt0(sdtpldt0(xu,xx),xx) = sdtpldt0(xu,sdtpldt0(xx,xx))
| ~ spl2_3
| ~ spl2_200 ),
inference(resolution,[],[f2819,f89]) ).
fof(f14208,plain,
( spl2_864
| ~ spl2_49
| ~ spl2_125
| ~ spl2_780 ),
inference(avatar_split_clause,[],[f13628,f13212,f1282,f425,f14205]) ).
fof(f14205,plain,
( spl2_864
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_864])]) ).
fof(f13628,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,sdtpldt0(xu,xv)))
| ~ spl2_49
| ~ spl2_125
| ~ spl2_780 ),
inference(forward_demodulation,[],[f13617,f1380]) ).
fof(f13617,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xu,xv),xu))
| ~ spl2_125
| ~ spl2_780 ),
inference(resolution,[],[f13213,f1283]) ).
fof(f14202,plain,
( spl2_863
| ~ spl2_2
| ~ spl2_129
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f3036,f2818,f1635,f82,f14199]) ).
fof(f3036,plain,
( sdtpldt0(xy,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xy),xx)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_200 ),
inference(forward_demodulation,[],[f3028,f1637]) ).
fof(f3028,plain,
( sdtpldt0(sdtpldt0(xy,xx),xx) = sdtpldt0(xy,sdtpldt0(xx,xx))
| ~ spl2_2
| ~ spl2_200 ),
inference(resolution,[],[f2819,f84]) ).
fof(f14197,plain,
( spl2_862
| ~ spl2_1
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f3027,f2818,f77,f14194]) ).
fof(f14194,plain,
( spl2_862
<=> sdtpldt0(sdtpldt0(xx,xx),xx) = sdtpldt0(xx,sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_862])]) ).
fof(f3027,plain,
( sdtpldt0(sdtpldt0(xx,xx),xx) = sdtpldt0(xx,sdtpldt0(xx,xx))
| ~ spl2_1
| ~ spl2_200 ),
inference(resolution,[],[f2819,f79]) ).
fof(f14192,plain,
( spl2_861
| ~ spl2_125
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2717,f2640,f1282,f14190]) ).
fof(f14190,plain,
( spl2_861
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sdtpldt0(xu,xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_861])]) ).
fof(f2717,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sdtpldt0(xu,xv))) )
| ~ spl2_125
| ~ spl2_193 ),
inference(resolution,[],[f2641,f1283]) ).
fof(f14188,plain,
( spl2_860
| ~ spl2_125
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2705,f2636,f1282,f14186]) ).
fof(f14186,plain,
( spl2_860
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sdtpldt0(xu,xv)),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_860])]) ).
fof(f2705,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sdtpldt0(xu,xv)),sz0z00) )
| ~ spl2_125
| ~ spl2_192 ),
inference(resolution,[],[f2637,f1283]) ).
fof(f14184,plain,
( spl2_859
| ~ spl2_125
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2693,f2627,f1282,f14182]) ).
fof(f14182,plain,
( spl2_859
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sdtpldt0(xu,xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_859])]) ).
fof(f2693,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sdtpldt0(xu,xv))) )
| ~ spl2_125
| ~ spl2_190 ),
inference(resolution,[],[f2628,f1283]) ).
fof(f14180,plain,
( spl2_858
| ~ spl2_125
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2676,f2623,f1282,f14178]) ).
fof(f14178,plain,
( spl2_858
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sdtpldt0(xu,xv)),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_858])]) ).
fof(f2676,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sdtpldt0(xu,xv)),sz0z00) )
| ~ spl2_125
| ~ spl2_189 ),
inference(resolution,[],[f2624,f1283]) ).
fof(f14176,plain,
( spl2_857
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f2617,f2025,f1616,f990,f514,f429,f160,f14173]) ).
fof(f14173,plain,
( spl2_857
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_857])]) ).
fof(f2617,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2616,f1630]) ).
fof(f2616,plain,
( sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_50
| ~ spl2_53
| ~ spl2_91
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2615,f1459]) ).
fof(f2615,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_50
| ~ spl2_91
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2600,f1457]) ).
fof(f1457,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv) = sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_50
| ~ spl2_91 ),
inference(resolution,[],[f991,f430]) ).
fof(f2600,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv),sz0z00)
| ~ spl2_91
| ~ spl2_185 ),
inference(resolution,[],[f2026,f991]) ).
fof(f14171,plain,
( spl2_856
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f2614,f2025,f1611,f986,f514,f429,f160,f14168]) ).
fof(f14168,plain,
( spl2_856
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_856])]) ).
fof(f2614,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2613,f1623]) ).
fof(f2613,plain,
( sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_50
| ~ spl2_53
| ~ spl2_90
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2612,f1308]) ).
fof(f2612,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_50
| ~ spl2_90
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2599,f1306]) ).
fof(f1306,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv) = sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_50
| ~ spl2_90 ),
inference(resolution,[],[f987,f430]) ).
fof(f2599,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv),sz0z00)
| ~ spl2_90
| ~ spl2_185 ),
inference(resolution,[],[f2026,f987]) ).
fof(f14166,plain,
( spl2_855
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f2588,f2021,f1616,f990,f514,f425,f160,f14163]) ).
fof(f14163,plain,
( spl2_855
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_855])]) ).
fof(f2588,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2587,f1630]) ).
fof(f2587,plain,
( sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_49
| ~ spl2_53
| ~ spl2_91
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2586,f1459]) ).
fof(f2586,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_49
| ~ spl2_91
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2571,f1456]) ).
fof(f1456,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu) = sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_49
| ~ spl2_91 ),
inference(resolution,[],[f991,f426]) ).
fof(f2571,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu),sz0z00)
| ~ spl2_91
| ~ spl2_184 ),
inference(resolution,[],[f2022,f991]) ).
fof(f14161,plain,
( spl2_854
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f2585,f2021,f1611,f986,f514,f425,f160,f14158]) ).
fof(f14158,plain,
( spl2_854
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_854])]) ).
fof(f2585,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2584,f1623]) ).
fof(f2584,plain,
( sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_49
| ~ spl2_53
| ~ spl2_90
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2583,f1308]) ).
fof(f2583,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_49
| ~ spl2_90
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2570,f1305]) ).
fof(f1305,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu) = sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_49
| ~ spl2_90 ),
inference(resolution,[],[f987,f426]) ).
fof(f2570,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu),sz0z00)
| ~ spl2_90
| ~ spl2_184 ),
inference(resolution,[],[f2022,f987]) ).
fof(f14156,plain,
( spl2_853
| ~ spl2_19
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f1663,f1604,f164,f14153]) ).
fof(f14153,plain,
( spl2_853
<=> sdtpldt0(xu,xv) = smndt0(smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_853])]) ).
fof(f1663,plain,
( sdtpldt0(xu,xv) = smndt0(smndt0(sdtpldt0(xu,xv)))
| ~ spl2_19
| ~ spl2_126 ),
inference(resolution,[],[f1606,f165]) ).
fof(f14151,plain,
( spl2_852
| ~ spl2_18
| ~ spl2_47
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f2558,f2017,f1616,f990,f514,f416,f160,f14148]) ).
fof(f14148,plain,
( spl2_852
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_852])]) ).
fof(f2558,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_47
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2557,f1630]) ).
fof(f2557,plain,
( sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_47
| ~ spl2_53
| ~ spl2_91
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2556,f1459]) ).
fof(f2556,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_47
| ~ spl2_91
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2542,f1455]) ).
fof(f1455,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_47
| ~ spl2_91 ),
inference(resolution,[],[f991,f417]) ).
fof(f2542,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy),sz0z00)
| ~ spl2_91
| ~ spl2_183 ),
inference(resolution,[],[f2018,f991]) ).
fof(f14145,plain,
( spl2_851
| ~ spl2_18
| ~ spl2_47
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f2555,f2017,f1611,f986,f514,f416,f160,f14142]) ).
fof(f14142,plain,
( spl2_851
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_851])]) ).
fof(f2555,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_47
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2554,f1623]) ).
fof(f2554,plain,
( sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_47
| ~ spl2_53
| ~ spl2_90
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2553,f1308]) ).
fof(f2553,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_47
| ~ spl2_90
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2541,f1304]) ).
fof(f1304,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_47
| ~ spl2_90 ),
inference(resolution,[],[f987,f417]) ).
fof(f2541,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy),sz0z00)
| ~ spl2_90
| ~ spl2_183 ),
inference(resolution,[],[f2018,f987]) ).
fof(f14140,plain,
( spl2_850
| ~ spl2_18
| ~ spl2_46
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f2528,f2013,f1616,f990,f514,f412,f160,f14137]) ).
fof(f14137,plain,
( spl2_850
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_850])]) ).
fof(f2528,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_46
| ~ spl2_53
| ~ spl2_91
| ~ spl2_128
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2527,f1630]) ).
fof(f2527,plain,
( sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_46
| ~ spl2_53
| ~ spl2_91
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2526,f1459]) ).
fof(f2526,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_46
| ~ spl2_91
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2511,f1454]) ).
fof(f1454,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx) = sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_46
| ~ spl2_91 ),
inference(resolution,[],[f991,f413]) ).
fof(f2511,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx),sz0z00)
| ~ spl2_91
| ~ spl2_182 ),
inference(resolution,[],[f2014,f991]) ).
fof(f14135,plain,
( spl2_849
| ~ spl2_18
| ~ spl2_46
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f2525,f2013,f1611,f986,f514,f412,f160,f14132]) ).
fof(f14132,plain,
( spl2_849
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_849])]) ).
fof(f2525,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_18
| ~ spl2_46
| ~ spl2_53
| ~ spl2_90
| ~ spl2_127
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2524,f1623]) ).
fof(f2524,plain,
( sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_46
| ~ spl2_53
| ~ spl2_90
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2523,f1308]) ).
fof(f2523,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_46
| ~ spl2_90
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2510,f1303]) ).
fof(f1303,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx) = sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_46
| ~ spl2_90 ),
inference(resolution,[],[f987,f413]) ).
fof(f2510,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx),sz0z00)
| ~ spl2_90
| ~ spl2_182 ),
inference(resolution,[],[f2014,f987]) ).
fof(f14130,plain,
( spl2_848
| ~ spl2_125
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f1803,f1781,f1282,f14127]) ).
fof(f14127,plain,
( spl2_848
<=> smndt0(sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_848])]) ).
fof(f1803,plain,
( smndt0(sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_146 ),
inference(resolution,[],[f1782,f1283]) ).
fof(f14125,plain,
( spl2_847
| ~ spl2_125
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f1790,f1777,f1282,f14122]) ).
fof(f14122,plain,
( spl2_847
<=> smndt0(sdtpldt0(xu,xv)) = sdtpldt0(smndt0(sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_847])]) ).
fof(f1790,plain,
( smndt0(sdtpldt0(xu,xv)) = sdtpldt0(smndt0(sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_125
| ~ spl2_145 ),
inference(resolution,[],[f1778,f1283]) ).
fof(f14120,plain,
( spl2_846
| ~ spl2_18
| ~ spl2_141 ),
inference(avatar_split_clause,[],[f1733,f1726,f160,f14117]) ).
fof(f14117,plain,
( spl2_846
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_846])]) ).
fof(f14115,plain,
( spl2_845
| ~ spl2_17
| ~ spl2_141 ),
inference(avatar_split_clause,[],[f1732,f1726,f156,f14112]) ).
fof(f14112,plain,
( spl2_845
<=> sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_845])]) ).
fof(f1732,plain,
( sz0z00 = sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_17
| ~ spl2_141 ),
inference(resolution,[],[f1728,f157]) ).
fof(f14109,plain,
( spl2_844
| ~ spl2_53
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1383,f1282,f514,f14106]) ).
fof(f14106,plain,
( spl2_844
<=> sdtasdt0(sdtpldt0(xu,xv),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_844])]) ).
fof(f14103,plain,
( spl2_843
| ~ spl2_52
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1382,f1282,f510,f14100]) ).
fof(f14100,plain,
( spl2_843
<=> sdtpldt0(sdtpldt0(xu,xv),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_843])]) ).
fof(f14098,plain,
( spl2_842
| ~ spl2_16
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f1660,f1604,f152,f14095]) ).
fof(f14095,plain,
( spl2_842
<=> sdtpldt0(xu,xv) = sdtpldt0(sz0z00,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_842])]) ).
fof(f14093,plain,
( spl2_841
| ~ spl2_50
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1381,f1282,f429,f14090]) ).
fof(f14090,plain,
( spl2_841
<=> sdtasdt0(sdtpldt0(xu,xv),xv) = sdtasdt0(xv,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_841])]) ).
fof(f14088,plain,
( spl2_840
| ~ spl2_49
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1380,f1282,f425,f14085]) ).
fof(f14085,plain,
( spl2_840
<=> sdtasdt0(sdtpldt0(xu,xv),xu) = sdtasdt0(xu,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_840])]) ).
fof(f14083,plain,
( spl2_839
| ~ spl2_47
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1379,f1282,f416,f14080]) ).
fof(f14080,plain,
( spl2_839
<=> sdtasdt0(xy,sdtpldt0(xu,xv)) = sdtasdt0(sdtpldt0(xu,xv),xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_839])]) ).
fof(f14078,plain,
( spl2_838
| ~ spl2_46
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1378,f1282,f412,f14075]) ).
fof(f14075,plain,
( spl2_838
<=> sdtasdt0(xx,sdtpldt0(xu,xv)) = sdtasdt0(sdtpldt0(xu,xv),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_838])]) ).
fof(f14072,plain,
( spl2_837
| ~ spl2_45
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1377,f1282,f408,f14069]) ).
fof(f14067,plain,
( spl2_836
| ~ spl2_44
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1376,f1282,f404,f14064]) ).
fof(f14064,plain,
( spl2_836
<=> sdtpldt0(sdtpldt0(xu,xv),xu) = sdtpldt0(xu,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_836])]) ).
fof(f14062,plain,
( spl2_835
| ~ spl2_43
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1375,f1282,f400,f14059]) ).
fof(f14059,plain,
( spl2_835
<=> sdtpldt0(sdtpldt0(xu,xv),xy) = sdtpldt0(xy,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_835])]) ).
fof(f14057,plain,
( spl2_834
| ~ spl2_42
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1374,f1282,f396,f14054]) ).
fof(f14054,plain,
( spl2_834
<=> sdtpldt0(sdtpldt0(xu,xv),xx) = sdtpldt0(xx,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_834])]) ).
fof(f14048,plain,
( spl2_833
| ~ spl2_15
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f1659,f1604,f148,f14045]) ).
fof(f14045,plain,
( spl2_833
<=> sdtpldt0(xu,xv) = sdtpldt0(sdtpldt0(xu,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_833])]) ).
fof(f1659,plain,
( sdtpldt0(xu,xv) = sdtpldt0(sdtpldt0(xu,xv),sz0z00)
| ~ spl2_15
| ~ spl2_126 ),
inference(resolution,[],[f1606,f149]) ).
fof(f14039,plain,
( spl2_832
| ~ spl2_91
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1769,f1747,f990,f14036]) ).
fof(f14036,plain,
( spl2_832
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_832])]) ).
fof(f1769,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ spl2_91
| ~ spl2_144 ),
inference(resolution,[],[f1748,f991]) ).
fof(f14034,plain,
( spl2_831
| ~ spl2_90
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1768,f1747,f986,f14031]) ).
fof(f14031,plain,
( spl2_831
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_831])]) ).
fof(f1768,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ spl2_90
| ~ spl2_144 ),
inference(resolution,[],[f1748,f987]) ).
fof(f14029,plain,
( spl2_830
| ~ spl2_91
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1756,f1743,f990,f14026]) ).
fof(f14026,plain,
( spl2_830
<=> sz0z00 = sdtasdt0(smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_830])]) ).
fof(f1756,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_91
| ~ spl2_143 ),
inference(resolution,[],[f1744,f991]) ).
fof(f14024,plain,
( spl2_829
| ~ spl2_90
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1755,f1743,f986,f14021]) ).
fof(f14021,plain,
( spl2_829
<=> sz0z00 = sdtasdt0(smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_829])]) ).
fof(f1755,plain,
( sz0z00 = sdtasdt0(smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ spl2_90
| ~ spl2_143 ),
inference(resolution,[],[f1744,f987]) ).
fof(f13887,plain,
( spl2_828
| ~ spl2_6
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2715,f2640,f102,f13885]) ).
fof(f13885,plain,
( spl2_828
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_828])]) ).
fof(f2715,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,sz0z00)) )
| ~ spl2_6
| ~ spl2_193 ),
inference(resolution,[],[f2641,f104]) ).
fof(f13883,plain,
( spl2_827
| ~ spl2_6
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2703,f2636,f102,f13881]) ).
fof(f13881,plain,
( spl2_827
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_827])]) ).
fof(f2703,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) )
| ~ spl2_6
| ~ spl2_192 ),
inference(resolution,[],[f2637,f104]) ).
fof(f13879,plain,
( spl2_826
| ~ spl2_6
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2691,f2627,f102,f13877]) ).
fof(f13877,plain,
( spl2_826
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sz0z00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_826])]) ).
fof(f2691,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,sz0z00)) )
| ~ spl2_6
| ~ spl2_190 ),
inference(resolution,[],[f2628,f104]) ).
fof(f13875,plain,
( spl2_825
| ~ spl2_6
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2674,f2623,f102,f13873]) ).
fof(f13873,plain,
( spl2_825
<=> ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_825])]) ).
fof(f2674,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00) )
| ~ spl2_6
| ~ spl2_189 ),
inference(resolution,[],[f2624,f104]) ).
fof(f13871,plain,
( spl2_824
| ~ spl2_9
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1770,f1747,f120,f13869]) ).
fof(f13869,plain,
( spl2_824
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_824])]) ).
fof(f1770,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,smndt0(smndt0(X0)))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_144 ),
inference(resolution,[],[f1748,f121]) ).
fof(f13867,plain,
( spl2_823
| ~ spl2_9
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1757,f1743,f120,f13865]) ).
fof(f13865,plain,
( spl2_823
<=> ! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_823])]) ).
fof(f1757,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(smndt0(smndt0(X0)),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_143 ),
inference(resolution,[],[f1744,f121]) ).
fof(f13415,plain,
( spl2_822
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_247 ),
inference(avatar_split_clause,[],[f4207,f3016,f1604,f1282,f1224,f514,f408,f160,f13412]) ).
fof(f13412,plain,
( spl2_822
<=> sz0z00 = sdtasdt0(sdtpldt0(xv,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_822])]) ).
fof(f4207,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4206,f1226]) ).
fof(f4206,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_45
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4205,f1662]) ).
fof(f4205,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtpldt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_45
| ~ spl2_53
| ~ spl2_125
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4204,f1383]) ).
fof(f4204,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_45
| ~ spl2_125
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4191,f1377]) ).
fof(f4191,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),xv),sz0z00)
| ~ spl2_125
| ~ spl2_247 ),
inference(resolution,[],[f3017,f1283]) ).
fof(f13410,plain,
( spl2_821
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f4167,f3012,f1604,f1282,f1224,f514,f404,f160,f13407]) ).
fof(f13407,plain,
( spl2_821
<=> sz0z00 = sdtasdt0(sdtpldt0(xu,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_821])]) ).
fof(f4167,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4166,f1226]) ).
fof(f4166,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_44
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4165,f1662]) ).
fof(f4165,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtpldt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_44
| ~ spl2_53
| ~ spl2_125
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4164,f1383]) ).
fof(f4164,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_44
| ~ spl2_125
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4151,f1376]) ).
fof(f4151,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),xu),sz0z00)
| ~ spl2_125
| ~ spl2_246 ),
inference(resolution,[],[f3013,f1283]) ).
fof(f13405,plain,
( spl2_820
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f4126,f3008,f1604,f1282,f1224,f514,f400,f160,f13402]) ).
fof(f13402,plain,
( spl2_820
<=> sz0z00 = sdtasdt0(sdtpldt0(xy,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_820])]) ).
fof(f4126,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xy,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4125,f1226]) ).
fof(f4125,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xy,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_43
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4124,f1662]) ).
fof(f4124,plain,
( sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sdtpldt0(xy,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_43
| ~ spl2_53
| ~ spl2_125
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4123,f1383]) ).
fof(f4123,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xy,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_43
| ~ spl2_125
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4110,f1375]) ).
fof(f4110,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),xy),sz0z00)
| ~ spl2_125
| ~ spl2_245 ),
inference(resolution,[],[f3009,f1283]) ).
fof(f13400,plain,
( spl2_819
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f4084,f3004,f1604,f1282,f1224,f514,f396,f160,f13397]) ).
fof(f13397,plain,
( spl2_819
<=> sz0z00 = sdtasdt0(sdtpldt0(xx,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_819])]) ).
fof(f4084,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xx,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_115
| ~ spl2_125
| ~ spl2_126
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4083,f1226]) ).
fof(f4083,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xx,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_42
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4082,f1374]) ).
fof(f4082,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),xx),sz0z00)
| ~ spl2_18
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4081,f1662]) ).
fof(f4081,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),xx),sz0z00) = sdtpldt0(sdtasdt0(sz0z00,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_53
| ~ spl2_125
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4068,f1383]) ).
fof(f4068,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(xu,xv),xx),sz0z00) = sdtpldt0(sdtasdt0(sdtpldt0(xu,xv),sz0z00),sz0z00)
| ~ spl2_125
| ~ spl2_244 ),
inference(resolution,[],[f3005,f1283]) ).
fof(f13395,plain,
( spl2_818
| ~ spl2_4
| ~ spl2_110
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f3934,f2982,f1159,f92,f13392]) ).
fof(f13392,plain,
( spl2_818
<=> sdtasdt0(xv,xv) = sdtpldt0(sdtasdt0(xv,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_818])]) ).
fof(f3934,plain,
( sdtasdt0(xv,xv) = sdtpldt0(sdtasdt0(xv,xv),sz0z00)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_239 ),
inference(forward_demodulation,[],[f3912,f1161]) ).
fof(f3912,plain,
( sdtasdt0(sdtpldt0(xv,sz0z00),xv) = sdtpldt0(sdtasdt0(xv,xv),sz0z00)
| ~ spl2_4
| ~ spl2_239 ),
inference(resolution,[],[f2983,f94]) ).
fof(f13390,plain,
( spl2_817
| ~ spl2_4
| ~ spl2_110
| ~ spl2_140
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f3900,f2978,f1697,f1159,f92,f13387]) ).
fof(f13387,plain,
( spl2_817
<=> sdtasdt0(xu,xv) = sdtpldt0(sdtasdt0(xu,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_817])]) ).
fof(f3900,plain,
( sdtasdt0(xu,xv) = sdtpldt0(sdtasdt0(xu,xv),sz0z00)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_140
| ~ spl2_238 ),
inference(forward_demodulation,[],[f3899,f1699]) ).
fof(f3899,plain,
( sdtasdt0(xv,xu) = sdtpldt0(sdtasdt0(xu,xv),sz0z00)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_140
| ~ spl2_238 ),
inference(forward_demodulation,[],[f3898,f1161]) ).
fof(f3898,plain,
( sdtasdt0(sdtpldt0(xv,sz0z00),xu) = sdtpldt0(sdtasdt0(xu,xv),sz0z00)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_238 ),
inference(forward_demodulation,[],[f3876,f1699]) ).
fof(f3876,plain,
( sdtasdt0(sdtpldt0(xv,sz0z00),xu) = sdtpldt0(sdtasdt0(xv,xu),sz0z00)
| ~ spl2_4
| ~ spl2_238 ),
inference(resolution,[],[f2979,f94]) ).
fof(f13385,plain,
( spl2_816
| ~ spl2_3
| ~ spl2_105
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f3897,f2978,f1134,f87,f13382]) ).
fof(f13382,plain,
( spl2_816
<=> sdtasdt0(xu,xu) = sdtpldt0(sdtasdt0(xu,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_816])]) ).
fof(f3897,plain,
( sdtasdt0(xu,xu) = sdtpldt0(sdtasdt0(xu,xu),sz0z00)
| ~ spl2_3
| ~ spl2_105
| ~ spl2_238 ),
inference(forward_demodulation,[],[f3875,f1136]) ).
fof(f3875,plain,
( sdtasdt0(sdtpldt0(xu,sz0z00),xu) = sdtpldt0(sdtasdt0(xu,xu),sz0z00)
| ~ spl2_3
| ~ spl2_238 ),
inference(resolution,[],[f2979,f89]) ).
fof(f13380,plain,
( spl2_815
| ~ spl2_4
| ~ spl2_110
| ~ spl2_139
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f3864,f2974,f1692,f1159,f92,f13377]) ).
fof(f13377,plain,
( spl2_815
<=> sdtasdt0(xy,xv) = sdtpldt0(sdtasdt0(xy,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_815])]) ).
fof(f2974,plain,
( spl2_237
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xy) = sdtpldt0(sdtasdt0(X0,xy),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_237])]) ).
fof(f3864,plain,
( sdtasdt0(xy,xv) = sdtpldt0(sdtasdt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_139
| ~ spl2_237 ),
inference(forward_demodulation,[],[f3863,f1694]) ).
fof(f3863,plain,
( sdtasdt0(xv,xy) = sdtpldt0(sdtasdt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_139
| ~ spl2_237 ),
inference(forward_demodulation,[],[f3862,f1161]) ).
fof(f3862,plain,
( sdtasdt0(sdtpldt0(xv,sz0z00),xy) = sdtpldt0(sdtasdt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_237 ),
inference(forward_demodulation,[],[f3838,f1694]) ).
fof(f3838,plain,
( sdtasdt0(sdtpldt0(xv,sz0z00),xy) = sdtpldt0(sdtasdt0(xv,xy),sz0z00)
| ~ spl2_4
| ~ spl2_237 ),
inference(resolution,[],[f2975,f94]) ).
fof(f2975,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sz0z00),xy) = sdtpldt0(sdtasdt0(X0,xy),sz0z00) )
| ~ spl2_237 ),
inference(avatar_component_clause,[],[f2974]) ).
fof(f13375,plain,
( spl2_814
| ~ spl2_3
| ~ spl2_105
| ~ spl2_138
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f3861,f2974,f1687,f1134,f87,f13372]) ).
fof(f13372,plain,
( spl2_814
<=> sdtasdt0(xy,xu) = sdtpldt0(sdtasdt0(xy,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_814])]) ).
fof(f3861,plain,
( sdtasdt0(xy,xu) = sdtpldt0(sdtasdt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_105
| ~ spl2_138
| ~ spl2_237 ),
inference(forward_demodulation,[],[f3860,f1689]) ).
fof(f3860,plain,
( sdtasdt0(xu,xy) = sdtpldt0(sdtasdt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_105
| ~ spl2_138
| ~ spl2_237 ),
inference(forward_demodulation,[],[f3859,f1136]) ).
fof(f3859,plain,
( sdtasdt0(sdtpldt0(xu,sz0z00),xy) = sdtpldt0(sdtasdt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_237 ),
inference(forward_demodulation,[],[f3837,f1689]) ).
fof(f3837,plain,
( sdtasdt0(sdtpldt0(xu,sz0z00),xy) = sdtpldt0(sdtasdt0(xu,xy),sz0z00)
| ~ spl2_3
| ~ spl2_237 ),
inference(resolution,[],[f2975,f89]) ).
fof(f13370,plain,
( spl2_813
| ~ spl2_2
| ~ spl2_79
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f3858,f2974,f779,f82,f13367]) ).
fof(f13367,plain,
( spl2_813
<=> sdtasdt0(xy,xy) = sdtpldt0(sdtasdt0(xy,xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_813])]) ).
fof(f3858,plain,
( sdtasdt0(xy,xy) = sdtpldt0(sdtasdt0(xy,xy),sz0z00)
| ~ spl2_2
| ~ spl2_79
| ~ spl2_237 ),
inference(forward_demodulation,[],[f3836,f781]) ).
fof(f3836,plain,
( sdtasdt0(sdtpldt0(xy,sz0z00),xy) = sdtpldt0(sdtasdt0(xy,xy),sz0z00)
| ~ spl2_2
| ~ spl2_237 ),
inference(resolution,[],[f2975,f84]) ).
fof(f13365,plain,
( spl2_812
| ~ spl2_4
| ~ spl2_110
| ~ spl2_137
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f3826,f2970,f1682,f1159,f92,f13362]) ).
fof(f13362,plain,
( spl2_812
<=> sdtasdt0(xx,xv) = sdtpldt0(sdtasdt0(xx,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_812])]) ).
fof(f2970,plain,
( spl2_236
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xx) = sdtpldt0(sdtasdt0(X0,xx),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_236])]) ).
fof(f3826,plain,
( sdtasdt0(xx,xv) = sdtpldt0(sdtasdt0(xx,xv),sz0z00)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_137
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3825,f1684]) ).
fof(f3825,plain,
( sdtasdt0(xv,xx) = sdtpldt0(sdtasdt0(xx,xv),sz0z00)
| ~ spl2_4
| ~ spl2_110
| ~ spl2_137
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3824,f1161]) ).
fof(f3824,plain,
( sdtasdt0(sdtpldt0(xv,sz0z00),xx) = sdtpldt0(sdtasdt0(xx,xv),sz0z00)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3798,f1684]) ).
fof(f3798,plain,
( sdtasdt0(sdtpldt0(xv,sz0z00),xx) = sdtpldt0(sdtasdt0(xv,xx),sz0z00)
| ~ spl2_4
| ~ spl2_236 ),
inference(resolution,[],[f2971,f94]) ).
fof(f2971,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,sz0z00),xx) = sdtpldt0(sdtasdt0(X0,xx),sz0z00) )
| ~ spl2_236 ),
inference(avatar_component_clause,[],[f2970]) ).
fof(f13360,plain,
( spl2_811
| ~ spl2_3
| ~ spl2_105
| ~ spl2_136
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f3823,f2970,f1677,f1134,f87,f13357]) ).
fof(f13357,plain,
( spl2_811
<=> sdtasdt0(xx,xu) = sdtpldt0(sdtasdt0(xx,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_811])]) ).
fof(f3823,plain,
( sdtasdt0(xx,xu) = sdtpldt0(sdtasdt0(xx,xu),sz0z00)
| ~ spl2_3
| ~ spl2_105
| ~ spl2_136
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3822,f1679]) ).
fof(f3822,plain,
( sdtasdt0(xu,xx) = sdtpldt0(sdtasdt0(xx,xu),sz0z00)
| ~ spl2_3
| ~ spl2_105
| ~ spl2_136
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3821,f1136]) ).
fof(f3821,plain,
( sdtasdt0(sdtpldt0(xu,sz0z00),xx) = sdtpldt0(sdtasdt0(xx,xu),sz0z00)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3797,f1679]) ).
fof(f3797,plain,
( sdtasdt0(sdtpldt0(xu,sz0z00),xx) = sdtpldt0(sdtasdt0(xu,xx),sz0z00)
| ~ spl2_3
| ~ spl2_236 ),
inference(resolution,[],[f2971,f89]) ).
fof(f13355,plain,
( spl2_810
| ~ spl2_2
| ~ spl2_79
| ~ spl2_135
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f3820,f2970,f1672,f779,f82,f13352]) ).
fof(f13352,plain,
( spl2_810
<=> sdtasdt0(xx,xy) = sdtpldt0(sdtasdt0(xx,xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_810])]) ).
fof(f3820,plain,
( sdtasdt0(xx,xy) = sdtpldt0(sdtasdt0(xx,xy),sz0z00)
| ~ spl2_2
| ~ spl2_79
| ~ spl2_135
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3819,f1674]) ).
fof(f3819,plain,
( sdtasdt0(xy,xx) = sdtpldt0(sdtasdt0(xx,xy),sz0z00)
| ~ spl2_2
| ~ spl2_79
| ~ spl2_135
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3818,f781]) ).
fof(f3818,plain,
( sdtasdt0(sdtpldt0(xy,sz0z00),xx) = sdtpldt0(sdtasdt0(xx,xy),sz0z00)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3796,f1674]) ).
fof(f3796,plain,
( sdtasdt0(sdtpldt0(xy,sz0z00),xx) = sdtpldt0(sdtasdt0(xy,xx),sz0z00)
| ~ spl2_2
| ~ spl2_236 ),
inference(resolution,[],[f2971,f84]) ).
fof(f13350,plain,
( spl2_809
| ~ spl2_1
| ~ spl2_48
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f3817,f2970,f420,f77,f13347]) ).
fof(f13347,plain,
( spl2_809
<=> sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,xx),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_809])]) ).
fof(f3817,plain,
( sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,xx),sz0z00)
| ~ spl2_1
| ~ spl2_48
| ~ spl2_236 ),
inference(forward_demodulation,[],[f3795,f422]) ).
fof(f3795,plain,
( sdtasdt0(sdtpldt0(xx,sz0z00),xx) = sdtpldt0(sdtasdt0(xx,xx),sz0z00)
| ~ spl2_1
| ~ spl2_236 ),
inference(resolution,[],[f2971,f79]) ).
fof(f13345,plain,
( spl2_808
| ~ spl2_4
| ~ spl2_112
| ~ spl2_235 ),
inference(avatar_split_clause,[],[f3786,f2966,f1169,f92,f13342]) ).
fof(f13342,plain,
( spl2_808
<=> sdtasdt0(xv,xv) = sdtpldt0(sz0z00,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_808])]) ).
fof(f3786,plain,
( sdtasdt0(xv,xv) = sdtpldt0(sz0z00,sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_112
| ~ spl2_235 ),
inference(forward_demodulation,[],[f3768,f1171]) ).
fof(f3768,plain,
( sdtasdt0(xv,xv) = sdtpldt0(sdtasdt0(xv,sz0z00),sdtasdt0(xv,xv))
| ~ spl2_4
| ~ spl2_235 ),
inference(resolution,[],[f2967,f94]) ).
fof(f13340,plain,
( spl2_807
| ~ spl2_4
| ~ spl2_112
| ~ spl2_140
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f3756,f2962,f1697,f1169,f92,f13337]) ).
fof(f13337,plain,
( spl2_807
<=> sdtasdt0(xu,xv) = sdtpldt0(sz0z00,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_807])]) ).
fof(f3756,plain,
( sdtasdt0(xu,xv) = sdtpldt0(sz0z00,sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_112
| ~ spl2_140
| ~ spl2_234 ),
inference(forward_demodulation,[],[f3755,f1171]) ).
fof(f3755,plain,
( sdtasdt0(xu,xv) = sdtpldt0(sdtasdt0(xv,sz0z00),sdtasdt0(xu,xv))
| ~ spl2_4
| ~ spl2_140
| ~ spl2_234 ),
inference(forward_demodulation,[],[f3737,f1699]) ).
fof(f3737,plain,
( sdtasdt0(xv,xu) = sdtpldt0(sdtasdt0(xv,sz0z00),sdtasdt0(xv,xu))
| ~ spl2_4
| ~ spl2_234 ),
inference(resolution,[],[f2963,f94]) ).
fof(f13335,plain,
( spl2_806
| ~ spl2_3
| ~ spl2_107
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f3754,f2962,f1144,f87,f13332]) ).
fof(f13332,plain,
( spl2_806
<=> sdtasdt0(xu,xu) = sdtpldt0(sz0z00,sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_806])]) ).
fof(f3754,plain,
( sdtasdt0(xu,xu) = sdtpldt0(sz0z00,sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_107
| ~ spl2_234 ),
inference(forward_demodulation,[],[f3736,f1146]) ).
fof(f3736,plain,
( sdtasdt0(xu,xu) = sdtpldt0(sdtasdt0(xu,sz0z00),sdtasdt0(xu,xu))
| ~ spl2_3
| ~ spl2_234 ),
inference(resolution,[],[f2963,f89]) ).
fof(f13330,plain,
( spl2_805
| ~ spl2_4
| ~ spl2_112
| ~ spl2_139
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f3725,f2958,f1692,f1169,f92,f13327]) ).
fof(f13327,plain,
( spl2_805
<=> sdtasdt0(xy,xv) = sdtpldt0(sz0z00,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_805])]) ).
fof(f2958,plain,
( spl2_233
<=> ! [X0] :
( sdtasdt0(X0,xy) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xy))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_233])]) ).
fof(f3725,plain,
( sdtasdt0(xy,xv) = sdtpldt0(sz0z00,sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_112
| ~ spl2_139
| ~ spl2_233 ),
inference(forward_demodulation,[],[f3724,f1171]) ).
fof(f3724,plain,
( sdtasdt0(xy,xv) = sdtpldt0(sdtasdt0(xv,sz0z00),sdtasdt0(xy,xv))
| ~ spl2_4
| ~ spl2_139
| ~ spl2_233 ),
inference(forward_demodulation,[],[f3705,f1694]) ).
fof(f3705,plain,
( sdtasdt0(xv,xy) = sdtpldt0(sdtasdt0(xv,sz0z00),sdtasdt0(xv,xy))
| ~ spl2_4
| ~ spl2_233 ),
inference(resolution,[],[f2959,f94]) ).
fof(f2959,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xy)) )
| ~ spl2_233 ),
inference(avatar_component_clause,[],[f2958]) ).
fof(f13325,plain,
( spl2_804
| ~ spl2_3
| ~ spl2_107
| ~ spl2_138
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f3723,f2958,f1687,f1144,f87,f13322]) ).
fof(f13322,plain,
( spl2_804
<=> sdtasdt0(xy,xu) = sdtpldt0(sz0z00,sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_804])]) ).
fof(f3723,plain,
( sdtasdt0(xy,xu) = sdtpldt0(sz0z00,sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_107
| ~ spl2_138
| ~ spl2_233 ),
inference(forward_demodulation,[],[f3722,f1146]) ).
fof(f3722,plain,
( sdtasdt0(xy,xu) = sdtpldt0(sdtasdt0(xu,sz0z00),sdtasdt0(xy,xu))
| ~ spl2_3
| ~ spl2_138
| ~ spl2_233 ),
inference(forward_demodulation,[],[f3704,f1689]) ).
fof(f3704,plain,
( sdtasdt0(xu,xy) = sdtpldt0(sdtasdt0(xu,sz0z00),sdtasdt0(xu,xy))
| ~ spl2_3
| ~ spl2_233 ),
inference(resolution,[],[f2959,f89]) ).
fof(f13320,plain,
( spl2_803
| ~ spl2_2
| ~ spl2_87
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f3721,f2958,f955,f82,f13317]) ).
fof(f13317,plain,
( spl2_803
<=> sdtasdt0(xy,xy) = sdtpldt0(sz0z00,sdtasdt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_803])]) ).
fof(f3721,plain,
( sdtasdt0(xy,xy) = sdtpldt0(sz0z00,sdtasdt0(xy,xy))
| ~ spl2_2
| ~ spl2_87
| ~ spl2_233 ),
inference(forward_demodulation,[],[f3703,f957]) ).
fof(f3703,plain,
( sdtasdt0(xy,xy) = sdtpldt0(sdtasdt0(xy,sz0z00),sdtasdt0(xy,xy))
| ~ spl2_2
| ~ spl2_233 ),
inference(resolution,[],[f2959,f84]) ).
fof(f13315,plain,
( spl2_802
| ~ spl2_4
| ~ spl2_112
| ~ spl2_137
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f3688,f2954,f1682,f1169,f92,f13312]) ).
fof(f13312,plain,
( spl2_802
<=> sdtasdt0(xx,xv) = sdtpldt0(sz0z00,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_802])]) ).
fof(f2954,plain,
( spl2_232
<=> ! [X0] :
( sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xx))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_232])]) ).
fof(f3688,plain,
( sdtasdt0(xx,xv) = sdtpldt0(sz0z00,sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_112
| ~ spl2_137
| ~ spl2_232 ),
inference(forward_demodulation,[],[f3687,f1171]) ).
fof(f3687,plain,
( sdtasdt0(xx,xv) = sdtpldt0(sdtasdt0(xv,sz0z00),sdtasdt0(xx,xv))
| ~ spl2_4
| ~ spl2_137
| ~ spl2_232 ),
inference(forward_demodulation,[],[f3667,f1684]) ).
fof(f3667,plain,
( sdtasdt0(xv,xx) = sdtpldt0(sdtasdt0(xv,sz0z00),sdtasdt0(xv,xx))
| ~ spl2_4
| ~ spl2_232 ),
inference(resolution,[],[f2955,f94]) ).
fof(f2955,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xx)) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f2954]) ).
fof(f13310,plain,
( spl2_801
| ~ spl2_3
| ~ spl2_107
| ~ spl2_136
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f3686,f2954,f1677,f1144,f87,f13307]) ).
fof(f13307,plain,
( spl2_801
<=> sdtasdt0(xx,xu) = sdtpldt0(sz0z00,sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_801])]) ).
fof(f3686,plain,
( sdtasdt0(xx,xu) = sdtpldt0(sz0z00,sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_107
| ~ spl2_136
| ~ spl2_232 ),
inference(forward_demodulation,[],[f3685,f1146]) ).
fof(f3685,plain,
( sdtasdt0(xx,xu) = sdtpldt0(sdtasdt0(xu,sz0z00),sdtasdt0(xx,xu))
| ~ spl2_3
| ~ spl2_136
| ~ spl2_232 ),
inference(forward_demodulation,[],[f3666,f1679]) ).
fof(f3666,plain,
( sdtasdt0(xu,xx) = sdtpldt0(sdtasdt0(xu,sz0z00),sdtasdt0(xu,xx))
| ~ spl2_3
| ~ spl2_232 ),
inference(resolution,[],[f2955,f89]) ).
fof(f13305,plain,
( spl2_800
| ~ spl2_2
| ~ spl2_87
| ~ spl2_135
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f3684,f2954,f1672,f955,f82,f13302]) ).
fof(f13302,plain,
( spl2_800
<=> sdtasdt0(xx,xy) = sdtpldt0(sz0z00,sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_800])]) ).
fof(f3684,plain,
( sdtasdt0(xx,xy) = sdtpldt0(sz0z00,sdtasdt0(xx,xy))
| ~ spl2_2
| ~ spl2_87
| ~ spl2_135
| ~ spl2_232 ),
inference(forward_demodulation,[],[f3683,f957]) ).
fof(f3683,plain,
( sdtasdt0(xx,xy) = sdtpldt0(sdtasdt0(xy,sz0z00),sdtasdt0(xx,xy))
| ~ spl2_2
| ~ spl2_135
| ~ spl2_232 ),
inference(forward_demodulation,[],[f3665,f1674]) ).
fof(f3665,plain,
( sdtasdt0(xy,xx) = sdtpldt0(sdtasdt0(xy,sz0z00),sdtasdt0(xy,xx))
| ~ spl2_2
| ~ spl2_232 ),
inference(resolution,[],[f2955,f84]) ).
fof(f13300,plain,
( spl2_799
| ~ spl2_1
| ~ spl2_57
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f3682,f2954,f575,f77,f13297]) ).
fof(f13297,plain,
( spl2_799
<=> sdtasdt0(xx,xx) = sdtpldt0(sz0z00,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_799])]) ).
fof(f575,plain,
( spl2_57
<=> sz0z00 = sdtasdt0(xx,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).
fof(f3682,plain,
( sdtasdt0(xx,xx) = sdtpldt0(sz0z00,sdtasdt0(xx,xx))
| ~ spl2_1
| ~ spl2_57
| ~ spl2_232 ),
inference(forward_demodulation,[],[f3664,f577]) ).
fof(f577,plain,
( sz0z00 = sdtasdt0(xx,sz0z00)
| ~ spl2_57 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f3664,plain,
( sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,sz0z00),sdtasdt0(xx,xx))
| ~ spl2_1
| ~ spl2_232 ),
inference(resolution,[],[f2955,f79]) ).
fof(f13295,plain,
( spl2_798
| ~ spl2_6
| ~ spl2_111
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f3329,f2882,f1164,f102,f13292]) ).
fof(f13292,plain,
( spl2_798
<=> sdtpldt0(xv,xv) = sdtpldt0(sz0z00,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_798])]) ).
fof(f1164,plain,
( spl2_111
<=> xv = sdtpldt0(sz0z00,xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_111])]) ).
fof(f3329,plain,
( sdtpldt0(xv,xv) = sdtpldt0(sz0z00,sdtpldt0(xv,xv))
| ~ spl2_6
| ~ spl2_111
| ~ spl2_215 ),
inference(forward_demodulation,[],[f3317,f1166]) ).
fof(f1166,plain,
( xv = sdtpldt0(sz0z00,xv)
| ~ spl2_111 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f3317,plain,
( sdtpldt0(sdtpldt0(sz0z00,xv),xv) = sdtpldt0(sz0z00,sdtpldt0(xv,xv))
| ~ spl2_6
| ~ spl2_215 ),
inference(resolution,[],[f2883,f104]) ).
fof(f13290,plain,
( spl2_797
| ~ spl2_6
| ~ spl2_106
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f3231,f2860,f1139,f102,f13287]) ).
fof(f13287,plain,
( spl2_797
<=> sdtpldt0(xu,xu) = sdtpldt0(sz0z00,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_797])]) ).
fof(f1139,plain,
( spl2_106
<=> xu = sdtpldt0(sz0z00,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_106])]) ).
fof(f3231,plain,
( sdtpldt0(xu,xu) = sdtpldt0(sz0z00,sdtpldt0(xu,xu))
| ~ spl2_6
| ~ spl2_106
| ~ spl2_210 ),
inference(forward_demodulation,[],[f3219,f1141]) ).
fof(f1141,plain,
( xu = sdtpldt0(sz0z00,xu)
| ~ spl2_106 ),
inference(avatar_component_clause,[],[f1139]) ).
fof(f3219,plain,
( sdtpldt0(sdtpldt0(sz0z00,xu),xu) = sdtpldt0(sz0z00,sdtpldt0(xu,xu))
| ~ spl2_6
| ~ spl2_210 ),
inference(resolution,[],[f2861,f104]) ).
fof(f13285,plain,
( spl2_796
| ~ spl2_6
| ~ spl2_111
| ~ spl2_133
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f3172,f2848,f1655,f1164,f102,f13282]) ).
fof(f13282,plain,
( spl2_796
<=> sdtpldt0(xy,xv) = sdtpldt0(sz0z00,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_796])]) ).
fof(f3172,plain,
( sdtpldt0(xy,xv) = sdtpldt0(sz0z00,sdtpldt0(xy,xv))
| ~ spl2_6
| ~ spl2_111
| ~ spl2_133
| ~ spl2_207 ),
inference(forward_demodulation,[],[f3171,f1657]) ).
fof(f3171,plain,
( sdtpldt0(xv,xy) = sdtpldt0(sz0z00,sdtpldt0(xy,xv))
| ~ spl2_6
| ~ spl2_111
| ~ spl2_207 ),
inference(forward_demodulation,[],[f3159,f1166]) ).
fof(f3159,plain,
( sdtpldt0(sdtpldt0(sz0z00,xv),xy) = sdtpldt0(sz0z00,sdtpldt0(xy,xv))
| ~ spl2_6
| ~ spl2_207 ),
inference(resolution,[],[f2849,f104]) ).
fof(f13280,plain,
( spl2_795
| ~ spl2_6
| ~ spl2_106
| ~ spl2_132
| ~ spl2_206 ),
inference(avatar_split_clause,[],[f3152,f2844,f1650,f1139,f102,f13277]) ).
fof(f13277,plain,
( spl2_795
<=> sdtpldt0(xy,xu) = sdtpldt0(sz0z00,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_795])]) ).
fof(f3152,plain,
( sdtpldt0(xy,xu) = sdtpldt0(sz0z00,sdtpldt0(xy,xu))
| ~ spl2_6
| ~ spl2_106
| ~ spl2_132
| ~ spl2_206 ),
inference(forward_demodulation,[],[f3151,f1652]) ).
fof(f3151,plain,
( sdtpldt0(xu,xy) = sdtpldt0(sz0z00,sdtpldt0(xy,xu))
| ~ spl2_6
| ~ spl2_106
| ~ spl2_206 ),
inference(forward_demodulation,[],[f3139,f1141]) ).
fof(f3139,plain,
( sdtpldt0(sdtpldt0(sz0z00,xu),xy) = sdtpldt0(sz0z00,sdtpldt0(xy,xu))
| ~ spl2_6
| ~ spl2_206 ),
inference(resolution,[],[f2845,f104]) ).
fof(f13275,plain,
( spl2_794
| ~ spl2_6
| ~ spl2_82
| ~ spl2_205 ),
inference(avatar_split_clause,[],[f3132,f2840,f876,f102,f13272]) ).
fof(f13272,plain,
( spl2_794
<=> sdtpldt0(xy,xy) = sdtpldt0(sz0z00,sdtpldt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_794])]) ).
fof(f876,plain,
( spl2_82
<=> xy = sdtpldt0(sz0z00,xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_82])]) ).
fof(f3132,plain,
( sdtpldt0(xy,xy) = sdtpldt0(sz0z00,sdtpldt0(xy,xy))
| ~ spl2_6
| ~ spl2_82
| ~ spl2_205 ),
inference(forward_demodulation,[],[f3120,f878]) ).
fof(f878,plain,
( xy = sdtpldt0(sz0z00,xy)
| ~ spl2_82 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f3120,plain,
( sdtpldt0(sdtpldt0(sz0z00,xy),xy) = sdtpldt0(sz0z00,sdtpldt0(xy,xy))
| ~ spl2_6
| ~ spl2_205 ),
inference(resolution,[],[f2841,f104]) ).
fof(f13270,plain,
( spl2_793
| ~ spl2_6
| ~ spl2_111
| ~ spl2_131
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f3094,f2832,f1645,f1164,f102,f13267]) ).
fof(f13267,plain,
( spl2_793
<=> sdtpldt0(xx,xv) = sdtpldt0(sz0z00,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_793])]) ).
fof(f3094,plain,
( sdtpldt0(xx,xv) = sdtpldt0(sz0z00,sdtpldt0(xx,xv))
| ~ spl2_6
| ~ spl2_111
| ~ spl2_131
| ~ spl2_203 ),
inference(forward_demodulation,[],[f3093,f1647]) ).
fof(f3093,plain,
( sdtpldt0(xv,xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xv))
| ~ spl2_6
| ~ spl2_111
| ~ spl2_203 ),
inference(forward_demodulation,[],[f3081,f1166]) ).
fof(f3081,plain,
( sdtpldt0(sdtpldt0(sz0z00,xv),xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xv))
| ~ spl2_6
| ~ spl2_203 ),
inference(resolution,[],[f2833,f104]) ).
fof(f13265,plain,
( spl2_792
| ~ spl2_6
| ~ spl2_106
| ~ spl2_130
| ~ spl2_202 ),
inference(avatar_split_clause,[],[f3072,f2828,f1640,f1139,f102,f13262]) ).
fof(f13262,plain,
( spl2_792
<=> sdtpldt0(xx,xu) = sdtpldt0(sz0z00,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_792])]) ).
fof(f3072,plain,
( sdtpldt0(xx,xu) = sdtpldt0(sz0z00,sdtpldt0(xx,xu))
| ~ spl2_6
| ~ spl2_106
| ~ spl2_130
| ~ spl2_202 ),
inference(forward_demodulation,[],[f3071,f1642]) ).
fof(f3071,plain,
( sdtpldt0(xu,xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xu))
| ~ spl2_6
| ~ spl2_106
| ~ spl2_202 ),
inference(forward_demodulation,[],[f3059,f1141]) ).
fof(f3059,plain,
( sdtpldt0(sdtpldt0(sz0z00,xu),xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xu))
| ~ spl2_6
| ~ spl2_202 ),
inference(resolution,[],[f2829,f104]) ).
fof(f13260,plain,
( spl2_791
| ~ spl2_6
| ~ spl2_82
| ~ spl2_129
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f3052,f2824,f1635,f876,f102,f13257]) ).
fof(f13257,plain,
( spl2_791
<=> sdtpldt0(xx,xy) = sdtpldt0(sz0z00,sdtpldt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_791])]) ).
fof(f3052,plain,
( sdtpldt0(xx,xy) = sdtpldt0(sz0z00,sdtpldt0(xx,xy))
| ~ spl2_6
| ~ spl2_82
| ~ spl2_129
| ~ spl2_201 ),
inference(forward_demodulation,[],[f3051,f1637]) ).
fof(f3051,plain,
( sdtpldt0(xy,xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xy))
| ~ spl2_6
| ~ spl2_82
| ~ spl2_201 ),
inference(forward_demodulation,[],[f3039,f878]) ).
fof(f3039,plain,
( sdtpldt0(sdtpldt0(sz0z00,xy),xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xy))
| ~ spl2_6
| ~ spl2_201 ),
inference(resolution,[],[f2825,f104]) ).
fof(f13255,plain,
( spl2_790
| ~ spl2_6
| ~ spl2_51
| ~ spl2_200 ),
inference(avatar_split_clause,[],[f3031,f2818,f505,f102,f13252]) ).
fof(f13252,plain,
( spl2_790
<=> sdtpldt0(xx,xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_790])]) ).
fof(f505,plain,
( spl2_51
<=> xx = sdtpldt0(sz0z00,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_51])]) ).
fof(f3031,plain,
( sdtpldt0(xx,xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xx))
| ~ spl2_6
| ~ spl2_51
| ~ spl2_200 ),
inference(forward_demodulation,[],[f3019,f507]) ).
fof(f507,plain,
( xx = sdtpldt0(sz0z00,xx)
| ~ spl2_51 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f3019,plain,
( sdtpldt0(sdtpldt0(sz0z00,xx),xx) = sdtpldt0(sz0z00,sdtpldt0(xx,xx))
| ~ spl2_6
| ~ spl2_200 ),
inference(resolution,[],[f2819,f104]) ).
fof(f13250,plain,
( spl2_789
| ~ spl2_4
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2726,f2640,f92,f13248]) ).
fof(f2726,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xv)) )
| ~ spl2_4
| ~ spl2_193 ),
inference(resolution,[],[f2641,f94]) ).
fof(f13246,plain,
( spl2_788
| ~ spl2_3
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2725,f2640,f87,f13244]) ).
fof(f2725,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xu)) )
| ~ spl2_3
| ~ spl2_193 ),
inference(resolution,[],[f2641,f89]) ).
fof(f13242,plain,
( spl2_787
| ~ spl2_2
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2724,f2640,f82,f13240]) ).
fof(f2724,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xy)) )
| ~ spl2_2
| ~ spl2_193 ),
inference(resolution,[],[f2641,f84]) ).
fof(f13238,plain,
( spl2_786
| ~ spl2_1
| ~ spl2_193 ),
inference(avatar_split_clause,[],[f2723,f2640,f77,f13236]) ).
fof(f2723,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,xx)) )
| ~ spl2_1
| ~ spl2_193 ),
inference(resolution,[],[f2641,f79]) ).
fof(f13234,plain,
( spl2_785
| ~ spl2_4
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2714,f2636,f92,f13232]) ).
fof(f2714,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xv),sz0z00) )
| ~ spl2_4
| ~ spl2_192 ),
inference(resolution,[],[f2637,f94]) ).
fof(f13230,plain,
( spl2_784
| ~ spl2_3
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2713,f2636,f87,f13228]) ).
fof(f2713,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xu),sz0z00) )
| ~ spl2_3
| ~ spl2_192 ),
inference(resolution,[],[f2637,f89]) ).
fof(f13226,plain,
( spl2_783
| ~ spl2_2
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2712,f2636,f82,f13224]) ).
fof(f2712,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xy),sz0z00) )
| ~ spl2_2
| ~ spl2_192 ),
inference(resolution,[],[f2637,f84]) ).
fof(f13222,plain,
( spl2_782
| ~ spl2_1
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f2711,f2636,f77,f13220]) ).
fof(f2711,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtpldt0(X0,xx),sz0z00) )
| ~ spl2_1
| ~ spl2_192 ),
inference(resolution,[],[f2637,f79]) ).
fof(f13218,plain,
( spl2_781
| ~ spl2_4
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2702,f2627,f92,f13216]) ).
fof(f2702,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xv)) )
| ~ spl2_4
| ~ spl2_190 ),
inference(resolution,[],[f2628,f94]) ).
fof(f13214,plain,
( spl2_780
| ~ spl2_3
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2701,f2627,f87,f13212]) ).
fof(f2701,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xu)) )
| ~ spl2_3
| ~ spl2_190 ),
inference(resolution,[],[f2628,f89]) ).
fof(f13210,plain,
( spl2_779
| ~ spl2_2
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2700,f2627,f82,f13208]) ).
fof(f2700,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xy)) )
| ~ spl2_2
| ~ spl2_190 ),
inference(resolution,[],[f2628,f84]) ).
fof(f13206,plain,
( spl2_778
| ~ spl2_1
| ~ spl2_190 ),
inference(avatar_split_clause,[],[f2699,f2627,f77,f13204]) ).
fof(f2699,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,xx)) )
| ~ spl2_1
| ~ spl2_190 ),
inference(resolution,[],[f2628,f79]) ).
fof(f13202,plain,
( spl2_777
| ~ spl2_4
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2685,f2623,f92,f13200]) ).
fof(f2685,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xv),sz0z00) )
| ~ spl2_4
| ~ spl2_189 ),
inference(resolution,[],[f2624,f94]) ).
fof(f13198,plain,
( spl2_776
| ~ spl2_3
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2684,f2623,f87,f13196]) ).
fof(f2684,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xu),sz0z00) )
| ~ spl2_3
| ~ spl2_189 ),
inference(resolution,[],[f2624,f89]) ).
fof(f13194,plain,
( spl2_775
| ~ spl2_2
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2683,f2623,f82,f13192]) ).
fof(f2683,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xy),sz0z00) )
| ~ spl2_2
| ~ spl2_189 ),
inference(resolution,[],[f2624,f84]) ).
fof(f13190,plain,
( spl2_774
| ~ spl2_1
| ~ spl2_189 ),
inference(avatar_split_clause,[],[f2682,f2623,f77,f13188]) ).
fof(f2682,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sdtasdt0(X0,xx),sz0z00) )
| ~ spl2_1
| ~ spl2_189 ),
inference(resolution,[],[f2624,f79]) ).
fof(f13186,plain,
( spl2_773
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f2608,f2025,f1604,f1282,f514,f429,f160,f13183]) ).
fof(f13183,plain,
( spl2_773
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_773])]) ).
fof(f2608,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_50
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2607,f1662]) ).
fof(f2607,plain,
( sdtasdt0(sz0z00,sdtpldt0(xu,xv)) = sdtasdt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_50
| ~ spl2_53
| ~ spl2_125
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2606,f1383]) ).
fof(f2606,plain,
( sdtasdt0(sdtpldt0(xu,xv),sz0z00) = sdtasdt0(sdtasdt0(xv,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_50
| ~ spl2_125
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2596,f1381]) ).
fof(f2596,plain,
( sdtasdt0(sdtpldt0(xu,xv),sz0z00) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),xv),sz0z00)
| ~ spl2_125
| ~ spl2_185 ),
inference(resolution,[],[f2026,f1283]) ).
fof(f13181,plain,
( spl2_772
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f2579,f2021,f1604,f1282,f514,f425,f160,f13178]) ).
fof(f13178,plain,
( spl2_772
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_772])]) ).
fof(f2579,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_18
| ~ spl2_49
| ~ spl2_53
| ~ spl2_125
| ~ spl2_126
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2578,f1662]) ).
fof(f2578,plain,
( sdtasdt0(sz0z00,sdtpldt0(xu,xv)) = sdtasdt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_49
| ~ spl2_53
| ~ spl2_125
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2577,f1383]) ).
fof(f2577,plain,
( sdtasdt0(sdtpldt0(xu,xv),sz0z00) = sdtasdt0(sdtasdt0(xu,sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_49
| ~ spl2_125
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2567,f1380]) ).
fof(f2567,plain,
( sdtasdt0(sdtpldt0(xu,xv),sz0z00) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),xu),sz0z00)
| ~ spl2_125
| ~ spl2_184 ),
inference(resolution,[],[f2022,f1283]) ).
fof(f13176,plain,
( spl2_771
| ~ spl2_4
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f2499,f2009,f92,f13173]) ).
fof(f13173,plain,
( spl2_771
<=> sdtpldt0(xv,xv) = sdtpldt0(sdtpldt0(xv,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_771])]) ).
fof(f2499,plain,
( sdtpldt0(xv,xv) = sdtpldt0(sdtpldt0(xv,xv),sz0z00)
| ~ spl2_4
| ~ spl2_181 ),
inference(resolution,[],[f2010,f94]) ).
fof(f13171,plain,
( spl2_770
| ~ spl2_3
| ~ spl2_180 ),
inference(avatar_split_clause,[],[f2480,f2005,f87,f13168]) ).
fof(f13168,plain,
( spl2_770
<=> sdtpldt0(xu,xu) = sdtpldt0(sdtpldt0(xu,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_770])]) ).
fof(f2480,plain,
( sdtpldt0(xu,xu) = sdtpldt0(sdtpldt0(xu,xu),sz0z00)
| ~ spl2_3
| ~ spl2_180 ),
inference(resolution,[],[f2006,f89]) ).
fof(f13153,plain,
( ~ spl2_727
| spl2_196
| ~ spl2_23
| spl2_726 ),
inference(avatar_split_clause,[],[f12923,f12914,f181,f2652,f12918]) ).
fof(f12918,plain,
( spl2_727
<=> aNaturalNumber0(szszuzczcdt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_727])]) ).
fof(f2652,plain,
( spl2_196
<=> sz00 = szszuzczcdt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_196])]) ).
fof(f181,plain,
( spl2_23
<=> ! [X0] :
( aNaturalNumber0(sK1(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).
fof(f12914,plain,
( spl2_726
<=> aNaturalNumber0(sK1(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_726])]) ).
fof(f12923,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ aNaturalNumber0(szszuzczcdt0(sz00))
| ~ spl2_23
| spl2_726 ),
inference(resolution,[],[f12916,f182]) ).
fof(f182,plain,
( ! [X0] :
( aNaturalNumber0(sK1(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f12916,plain,
( ~ aNaturalNumber0(sK1(szszuzczcdt0(sz00)))
| spl2_726 ),
inference(avatar_component_clause,[],[f12914]) ).
fof(f13152,plain,
( spl2_769
| ~ spl2_4
| ~ spl2_133
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f2469,f1996,f1655,f92,f13149]) ).
fof(f13149,plain,
( spl2_769
<=> sdtpldt0(xy,xv) = sdtpldt0(sdtpldt0(xy,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_769])]) ).
fof(f2469,plain,
( sdtpldt0(xy,xv) = sdtpldt0(sdtpldt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_178 ),
inference(forward_demodulation,[],[f2462,f1657]) ).
fof(f2462,plain,
( sdtpldt0(xv,xy) = sdtpldt0(sdtpldt0(xv,xy),sz0z00)
| ~ spl2_4
| ~ spl2_178 ),
inference(resolution,[],[f1997,f94]) ).
fof(f13147,plain,
( spl2_768
| ~ spl2_3
| ~ spl2_132
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f2468,f1996,f1650,f87,f13144]) ).
fof(f13144,plain,
( spl2_768
<=> sdtpldt0(xy,xu) = sdtpldt0(sdtpldt0(xy,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_768])]) ).
fof(f2468,plain,
( sdtpldt0(xy,xu) = sdtpldt0(sdtpldt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_178 ),
inference(forward_demodulation,[],[f2461,f1652]) ).
fof(f2461,plain,
( sdtpldt0(xu,xy) = sdtpldt0(sdtpldt0(xu,xy),sz0z00)
| ~ spl2_3
| ~ spl2_178 ),
inference(resolution,[],[f1997,f89]) ).
fof(f13142,plain,
( spl2_767
| ~ spl2_2
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f2460,f1996,f82,f13139]) ).
fof(f13139,plain,
( spl2_767
<=> sdtpldt0(xy,xy) = sdtpldt0(sdtpldt0(xy,xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_767])]) ).
fof(f2460,plain,
( sdtpldt0(xy,xy) = sdtpldt0(sdtpldt0(xy,xy),sz0z00)
| ~ spl2_2
| ~ spl2_178 ),
inference(resolution,[],[f1997,f84]) ).
fof(f13137,plain,
( spl2_766
| ~ spl2_4
| ~ spl2_131
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f2450,f1992,f1645,f92,f13134]) ).
fof(f13134,plain,
( spl2_766
<=> sdtpldt0(xx,xv) = sdtpldt0(sdtpldt0(xx,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_766])]) ).
fof(f2450,plain,
( sdtpldt0(xx,xv) = sdtpldt0(sdtpldt0(xx,xv),sz0z00)
| ~ spl2_4
| ~ spl2_131
| ~ spl2_177 ),
inference(forward_demodulation,[],[f2442,f1647]) ).
fof(f2442,plain,
( sdtpldt0(xv,xx) = sdtpldt0(sdtpldt0(xv,xx),sz0z00)
| ~ spl2_4
| ~ spl2_177 ),
inference(resolution,[],[f1993,f94]) ).
fof(f13132,plain,
( spl2_765
| ~ spl2_3
| ~ spl2_130
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f2449,f1992,f1640,f87,f13129]) ).
fof(f13129,plain,
( spl2_765
<=> sdtpldt0(xx,xu) = sdtpldt0(sdtpldt0(xx,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_765])]) ).
fof(f2449,plain,
( sdtpldt0(xx,xu) = sdtpldt0(sdtpldt0(xx,xu),sz0z00)
| ~ spl2_3
| ~ spl2_130
| ~ spl2_177 ),
inference(forward_demodulation,[],[f2441,f1642]) ).
fof(f2441,plain,
( sdtpldt0(xu,xx) = sdtpldt0(sdtpldt0(xu,xx),sz0z00)
| ~ spl2_3
| ~ spl2_177 ),
inference(resolution,[],[f1993,f89]) ).
fof(f13127,plain,
( spl2_764
| ~ spl2_2
| ~ spl2_129
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f2448,f1992,f1635,f82,f13124]) ).
fof(f13124,plain,
( spl2_764
<=> sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xx,xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_764])]) ).
fof(f2448,plain,
( sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xx,xy),sz0z00)
| ~ spl2_2
| ~ spl2_129
| ~ spl2_177 ),
inference(forward_demodulation,[],[f2440,f1637]) ).
fof(f2440,plain,
( sdtpldt0(xy,xx) = sdtpldt0(sdtpldt0(xy,xx),sz0z00)
| ~ spl2_2
| ~ spl2_177 ),
inference(resolution,[],[f1993,f84]) ).
fof(f13122,plain,
( spl2_763
| ~ spl2_1
| ~ spl2_177 ),
inference(avatar_split_clause,[],[f2439,f1992,f77,f13119]) ).
fof(f13119,plain,
( spl2_763
<=> sdtpldt0(xx,xx) = sdtpldt0(sdtpldt0(xx,xx),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_763])]) ).
fof(f2439,plain,
( sdtpldt0(xx,xx) = sdtpldt0(sdtpldt0(xx,xx),sz0z00)
| ~ spl2_1
| ~ spl2_177 ),
inference(resolution,[],[f1993,f79]) ).
fof(f13117,plain,
( spl2_762
| ~ spl2_4
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f2146,f1919,f92,f13114]) ).
fof(f13114,plain,
( spl2_762
<=> sdtasdt0(smndt0(xv),xv) = sdtasdt0(xv,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_762])]) ).
fof(f2146,plain,
( sdtasdt0(smndt0(xv),xv) = sdtasdt0(xv,smndt0(xv))
| ~ spl2_4
| ~ spl2_159 ),
inference(resolution,[],[f1920,f94]) ).
fof(f13112,plain,
( spl2_761
| ~ spl2_3
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f2145,f1919,f87,f13109]) ).
fof(f13109,plain,
( spl2_761
<=> sdtasdt0(smndt0(xu),xv) = sdtasdt0(xv,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_761])]) ).
fof(f2145,plain,
( sdtasdt0(smndt0(xu),xv) = sdtasdt0(xv,smndt0(xu))
| ~ spl2_3
| ~ spl2_159 ),
inference(resolution,[],[f1920,f89]) ).
fof(f13107,plain,
( spl2_760
| ~ spl2_2
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f2144,f1919,f82,f13104]) ).
fof(f13104,plain,
( spl2_760
<=> sdtasdt0(smndt0(xy),xv) = sdtasdt0(xv,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_760])]) ).
fof(f2144,plain,
( sdtasdt0(smndt0(xy),xv) = sdtasdt0(xv,smndt0(xy))
| ~ spl2_2
| ~ spl2_159 ),
inference(resolution,[],[f1920,f84]) ).
fof(f13100,plain,
( spl2_759
| ~ spl2_1
| ~ spl2_159 ),
inference(avatar_split_clause,[],[f2143,f1919,f77,f13097]) ).
fof(f13097,plain,
( spl2_759
<=> sdtasdt0(smndt0(xx),xv) = sdtasdt0(xv,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_759])]) ).
fof(f2143,plain,
( sdtasdt0(smndt0(xx),xv) = sdtasdt0(xv,smndt0(xx))
| ~ spl2_1
| ~ spl2_159 ),
inference(resolution,[],[f1920,f79]) ).
fof(f13095,plain,
( spl2_758
| ~ spl2_4
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f2132,f1915,f92,f13092]) ).
fof(f13092,plain,
( spl2_758
<=> sdtasdt0(smndt0(xv),xu) = sdtasdt0(xu,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_758])]) ).
fof(f2132,plain,
( sdtasdt0(smndt0(xv),xu) = sdtasdt0(xu,smndt0(xv))
| ~ spl2_4
| ~ spl2_158 ),
inference(resolution,[],[f1916,f94]) ).
fof(f13090,plain,
( spl2_757
| ~ spl2_3
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f2131,f1915,f87,f13087]) ).
fof(f13087,plain,
( spl2_757
<=> sdtasdt0(smndt0(xu),xu) = sdtasdt0(xu,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_757])]) ).
fof(f2131,plain,
( sdtasdt0(smndt0(xu),xu) = sdtasdt0(xu,smndt0(xu))
| ~ spl2_3
| ~ spl2_158 ),
inference(resolution,[],[f1916,f89]) ).
fof(f13085,plain,
( spl2_756
| ~ spl2_2
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f2130,f1915,f82,f13082]) ).
fof(f13082,plain,
( spl2_756
<=> sdtasdt0(smndt0(xy),xu) = sdtasdt0(xu,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_756])]) ).
fof(f2130,plain,
( sdtasdt0(smndt0(xy),xu) = sdtasdt0(xu,smndt0(xy))
| ~ spl2_2
| ~ spl2_158 ),
inference(resolution,[],[f1916,f84]) ).
fof(f13080,plain,
( spl2_755
| ~ spl2_1
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f2129,f1915,f77,f13077]) ).
fof(f13077,plain,
( spl2_755
<=> sdtasdt0(smndt0(xx),xu) = sdtasdt0(xu,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_755])]) ).
fof(f2129,plain,
( sdtasdt0(smndt0(xx),xu) = sdtasdt0(xu,smndt0(xx))
| ~ spl2_1
| ~ spl2_158 ),
inference(resolution,[],[f1916,f79]) ).
fof(f13075,plain,
( spl2_754
| ~ spl2_4
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f2118,f1906,f92,f13072]) ).
fof(f13072,plain,
( spl2_754
<=> sdtasdt0(smndt0(xv),xy) = sdtasdt0(xy,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_754])]) ).
fof(f2118,plain,
( sdtasdt0(smndt0(xv),xy) = sdtasdt0(xy,smndt0(xv))
| ~ spl2_4
| ~ spl2_156 ),
inference(resolution,[],[f1907,f94]) ).
fof(f13070,plain,
( spl2_753
| ~ spl2_3
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f2117,f1906,f87,f13067]) ).
fof(f13067,plain,
( spl2_753
<=> sdtasdt0(smndt0(xu),xy) = sdtasdt0(xy,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_753])]) ).
fof(f2117,plain,
( sdtasdt0(smndt0(xu),xy) = sdtasdt0(xy,smndt0(xu))
| ~ spl2_3
| ~ spl2_156 ),
inference(resolution,[],[f1907,f89]) ).
fof(f13065,plain,
( spl2_752
| ~ spl2_2
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f2116,f1906,f82,f13062]) ).
fof(f13062,plain,
( spl2_752
<=> sdtasdt0(smndt0(xy),xy) = sdtasdt0(xy,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_752])]) ).
fof(f2116,plain,
( sdtasdt0(smndt0(xy),xy) = sdtasdt0(xy,smndt0(xy))
| ~ spl2_2
| ~ spl2_156 ),
inference(resolution,[],[f1907,f84]) ).
fof(f13060,plain,
( spl2_751
| ~ spl2_1
| ~ spl2_156 ),
inference(avatar_split_clause,[],[f2115,f1906,f77,f13057]) ).
fof(f13057,plain,
( spl2_751
<=> sdtasdt0(smndt0(xx),xy) = sdtasdt0(xy,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_751])]) ).
fof(f2115,plain,
( sdtasdt0(smndt0(xx),xy) = sdtasdt0(xy,smndt0(xx))
| ~ spl2_1
| ~ spl2_156 ),
inference(resolution,[],[f1907,f79]) ).
fof(f13055,plain,
( spl2_750
| ~ spl2_4
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f2104,f1902,f92,f13052]) ).
fof(f2104,plain,
( sdtasdt0(smndt0(xv),xx) = sdtasdt0(xx,smndt0(xv))
| ~ spl2_4
| ~ spl2_155 ),
inference(resolution,[],[f1903,f94]) ).
fof(f13048,plain,
( spl2_749
| ~ spl2_3
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f2103,f1902,f87,f13045]) ).
fof(f2103,plain,
( sdtasdt0(smndt0(xu),xx) = sdtasdt0(xx,smndt0(xu))
| ~ spl2_3
| ~ spl2_155 ),
inference(resolution,[],[f1903,f89]) ).
fof(f13043,plain,
( spl2_748
| ~ spl2_2
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f2102,f1902,f82,f13040]) ).
fof(f2102,plain,
( sdtasdt0(smndt0(xy),xx) = sdtasdt0(xx,smndt0(xy))
| ~ spl2_2
| ~ spl2_155 ),
inference(resolution,[],[f1903,f84]) ).
fof(f13038,plain,
( spl2_747
| ~ spl2_1
| ~ spl2_155 ),
inference(avatar_split_clause,[],[f2101,f1902,f77,f13035]) ).
fof(f2101,plain,
( sdtasdt0(smndt0(xx),xx) = sdtasdt0(xx,smndt0(xx))
| ~ spl2_1
| ~ spl2_155 ),
inference(resolution,[],[f1903,f79]) ).
fof(f13033,plain,
( spl2_746
| ~ spl2_3
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f2083,f1898,f87,f13030]) ).
fof(f13030,plain,
( spl2_746
<=> sdtpldt0(smndt0(xu),xv) = sdtpldt0(xv,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_746])]) ).
fof(f2083,plain,
( sdtpldt0(smndt0(xu),xv) = sdtpldt0(xv,smndt0(xu))
| ~ spl2_3
| ~ spl2_154 ),
inference(resolution,[],[f1899,f89]) ).
fof(f13028,plain,
( spl2_745
| ~ spl2_2
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f2082,f1898,f82,f13025]) ).
fof(f13025,plain,
( spl2_745
<=> sdtpldt0(smndt0(xy),xv) = sdtpldt0(xv,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_745])]) ).
fof(f2082,plain,
( sdtpldt0(smndt0(xy),xv) = sdtpldt0(xv,smndt0(xy))
| ~ spl2_2
| ~ spl2_154 ),
inference(resolution,[],[f1899,f84]) ).
fof(f13023,plain,
( spl2_744
| ~ spl2_1
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f2081,f1898,f77,f13020]) ).
fof(f13020,plain,
( spl2_744
<=> sdtpldt0(smndt0(xx),xv) = sdtpldt0(xv,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_744])]) ).
fof(f2081,plain,
( sdtpldt0(smndt0(xx),xv) = sdtpldt0(xv,smndt0(xx))
| ~ spl2_1
| ~ spl2_154 ),
inference(resolution,[],[f1899,f79]) ).
fof(f13018,plain,
( spl2_743
| ~ spl2_4
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f2069,f1894,f92,f13015]) ).
fof(f13015,plain,
( spl2_743
<=> sdtpldt0(smndt0(xv),xu) = sdtpldt0(xu,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_743])]) ).
fof(f2069,plain,
( sdtpldt0(smndt0(xv),xu) = sdtpldt0(xu,smndt0(xv))
| ~ spl2_4
| ~ spl2_153 ),
inference(resolution,[],[f1895,f94]) ).
fof(f13013,plain,
( spl2_742
| ~ spl2_2
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f2067,f1894,f82,f13010]) ).
fof(f13010,plain,
( spl2_742
<=> sdtpldt0(smndt0(xy),xu) = sdtpldt0(xu,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_742])]) ).
fof(f2067,plain,
( sdtpldt0(smndt0(xy),xu) = sdtpldt0(xu,smndt0(xy))
| ~ spl2_2
| ~ spl2_153 ),
inference(resolution,[],[f1895,f84]) ).
fof(f13008,plain,
( spl2_741
| ~ spl2_1
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f2066,f1894,f77,f13005]) ).
fof(f13005,plain,
( spl2_741
<=> sdtpldt0(smndt0(xx),xu) = sdtpldt0(xu,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_741])]) ).
fof(f2066,plain,
( sdtpldt0(smndt0(xx),xu) = sdtpldt0(xu,smndt0(xx))
| ~ spl2_1
| ~ spl2_153 ),
inference(resolution,[],[f1895,f79]) ).
fof(f13003,plain,
( spl2_740
| ~ spl2_4
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f2054,f1890,f92,f13000]) ).
fof(f13000,plain,
( spl2_740
<=> sdtpldt0(smndt0(xv),xy) = sdtpldt0(xy,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_740])]) ).
fof(f2054,plain,
( sdtpldt0(smndt0(xv),xy) = sdtpldt0(xy,smndt0(xv))
| ~ spl2_4
| ~ spl2_152 ),
inference(resolution,[],[f1891,f94]) ).
fof(f12998,plain,
( spl2_739
| ~ spl2_18
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f1662,f1604,f160,f12995]) ).
fof(f12995,plain,
( spl2_739
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_739])]) ).
fof(f12993,plain,
( spl2_738
| ~ spl2_3
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f2053,f1890,f87,f12990]) ).
fof(f12990,plain,
( spl2_738
<=> sdtpldt0(smndt0(xu),xy) = sdtpldt0(xy,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_738])]) ).
fof(f2053,plain,
( sdtpldt0(smndt0(xu),xy) = sdtpldt0(xy,smndt0(xu))
| ~ spl2_3
| ~ spl2_152 ),
inference(resolution,[],[f1891,f89]) ).
fof(f12988,plain,
( spl2_737
| ~ spl2_1
| ~ spl2_152 ),
inference(avatar_split_clause,[],[f2051,f1890,f77,f12985]) ).
fof(f12985,plain,
( spl2_737
<=> sdtpldt0(smndt0(xx),xy) = sdtpldt0(xy,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_737])]) ).
fof(f2051,plain,
( sdtpldt0(smndt0(xx),xy) = sdtpldt0(xy,smndt0(xx))
| ~ spl2_1
| ~ spl2_152 ),
inference(resolution,[],[f1891,f79]) ).
fof(f12983,plain,
( spl2_736
| ~ spl2_4
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f2039,f1886,f92,f12980]) ).
fof(f12980,plain,
( spl2_736
<=> sdtpldt0(smndt0(xv),xx) = sdtpldt0(xx,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_736])]) ).
fof(f2039,plain,
( sdtpldt0(smndt0(xv),xx) = sdtpldt0(xx,smndt0(xv))
| ~ spl2_4
| ~ spl2_151 ),
inference(resolution,[],[f1887,f94]) ).
fof(f12978,plain,
( spl2_735
| ~ spl2_3
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f2038,f1886,f87,f12975]) ).
fof(f12975,plain,
( spl2_735
<=> sdtpldt0(smndt0(xu),xx) = sdtpldt0(xx,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_735])]) ).
fof(f2038,plain,
( sdtpldt0(smndt0(xu),xx) = sdtpldt0(xx,smndt0(xu))
| ~ spl2_3
| ~ spl2_151 ),
inference(resolution,[],[f1887,f89]) ).
fof(f12973,plain,
( spl2_734
| ~ spl2_2
| ~ spl2_151 ),
inference(avatar_split_clause,[],[f2037,f1886,f82,f12970]) ).
fof(f12970,plain,
( spl2_734
<=> sdtpldt0(smndt0(xy),xx) = sdtpldt0(xx,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_734])]) ).
fof(f2037,plain,
( sdtpldt0(smndt0(xy),xx) = sdtpldt0(xx,smndt0(xy))
| ~ spl2_2
| ~ spl2_151 ),
inference(resolution,[],[f1887,f84]) ).
fof(f12968,plain,
( spl2_733
| ~ spl2_18
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f1630,f1616,f160,f12965]) ).
fof(f12965,plain,
( spl2_733
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_733])]) ).
fof(f12963,plain,
( spl2_732
| ~ spl2_17
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f1629,f1616,f156,f12960]) ).
fof(f12960,plain,
( spl2_732
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_732])]) ).
fof(f12958,plain,
( spl2_731
| ~ spl2_18
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f1623,f1611,f160,f12955]) ).
fof(f12955,plain,
( spl2_731
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_731])]) ).
fof(f12953,plain,
( spl2_730
| ~ spl2_17
| ~ spl2_127 ),
inference(avatar_split_clause,[],[f1622,f1611,f156,f12950]) ).
fof(f12950,plain,
( spl2_730
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_730])]) ).
fof(f12938,plain,
( ~ spl2_5
| ~ spl2_8
| spl2_727 ),
inference(avatar_split_clause,[],[f12922,f12918,f116,f97]) ).
fof(f97,plain,
( spl2_5
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f116,plain,
( spl2_8
<=> ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f12922,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl2_8
| spl2_727 ),
inference(resolution,[],[f12919,f117]) ).
fof(f117,plain,
( ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f12919,plain,
( ~ aNaturalNumber0(szszuzczcdt0(sz00))
| spl2_727 ),
inference(avatar_component_clause,[],[f12918]) ).
fof(f12933,plain,
( spl2_729
| ~ spl2_125
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1765,f1747,f1282,f12930]) ).
fof(f12930,plain,
( spl2_729
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_729])]) ).
fof(f1765,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(sdtpldt0(xu,xv)))
| ~ spl2_125
| ~ spl2_144 ),
inference(resolution,[],[f1748,f1283]) ).
fof(f12928,plain,
( spl2_728
| ~ spl2_125
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1752,f1743,f1282,f12925]) ).
fof(f12925,plain,
( spl2_728
<=> sz0z00 = sdtasdt0(smndt0(sdtpldt0(xu,xv)),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_728])]) ).
fof(f1752,plain,
( sz0z00 = sdtasdt0(smndt0(sdtpldt0(xu,xv)),sz0z00)
| ~ spl2_125
| ~ spl2_143 ),
inference(resolution,[],[f1744,f1283]) ).
fof(f12921,plain,
( ~ spl2_726
| spl2_727
| ~ spl2_8
| ~ spl2_197 ),
inference(avatar_split_clause,[],[f2690,f2656,f116,f12918,f12914]) ).
fof(f2656,plain,
( spl2_197
<=> szszuzczcdt0(sz00) = szszuzczcdt0(sK1(szszuzczcdt0(sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_197])]) ).
fof(f2690,plain,
( aNaturalNumber0(szszuzczcdt0(sz00))
| ~ aNaturalNumber0(sK1(szszuzczcdt0(sz00)))
| ~ spl2_8
| ~ spl2_197 ),
inference(superposition,[],[f117,f2658]) ).
fof(f2658,plain,
( szszuzczcdt0(sz00) = szszuzczcdt0(sK1(szszuzczcdt0(sz00)))
| ~ spl2_197 ),
inference(avatar_component_clause,[],[f2656]) ).
fof(f12874,plain,
( spl2_725
| ~ spl2_92
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1572,f1114,f994,f12872]) ).
fof(f12872,plain,
( spl2_725
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_725])]) ).
fof(f1114,plain,
( spl2_104
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_104])]) ).
fof(f1572,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_92
| ~ spl2_104 ),
inference(resolution,[],[f996,f1115]) ).
fof(f1115,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl2_104 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f12870,plain,
( spl2_724
| ~ spl2_92
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1571,f1110,f994,f12868]) ).
fof(f12868,plain,
( spl2_724
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_724])]) ).
fof(f1110,plain,
( spl2_103
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_103])]) ).
fof(f1571,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_92
| ~ spl2_103 ),
inference(resolution,[],[f996,f1111]) ).
fof(f1111,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f12853,plain,
( spl2_723
| ~ spl2_92
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1564,f1020,f994,f12851]) ).
fof(f12851,plain,
( spl2_723
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))),sdtasdt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_723])]) ).
fof(f1020,plain,
( spl2_95
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_95])]) ).
fof(f1564,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))),sdtasdt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) )
| ~ spl2_92
| ~ spl2_95 ),
inference(resolution,[],[f996,f1021]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2))) )
| ~ spl2_95 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f12784,plain,
( spl2_722
| ~ spl2_91
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1497,f1114,f990,f12782]) ).
fof(f12782,plain,
( spl2_722
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_722])]) ).
fof(f1497,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_91
| ~ spl2_104 ),
inference(resolution,[],[f991,f1115]) ).
fof(f12780,plain,
( spl2_721
| ~ spl2_91
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1496,f1110,f990,f12778]) ).
fof(f12778,plain,
( spl2_721
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_721])]) ).
fof(f1496,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_91
| ~ spl2_103 ),
inference(resolution,[],[f991,f1111]) ).
fof(f12776,plain,
( spl2_720
| ~ spl2_90
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1346,f1114,f986,f12774]) ).
fof(f12774,plain,
( spl2_720
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_720])]) ).
fof(f1346,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_90
| ~ spl2_104 ),
inference(resolution,[],[f987,f1115]) ).
fof(f12772,plain,
( spl2_719
| ~ spl2_90
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1345,f1110,f986,f12770]) ).
fof(f12770,plain,
( spl2_719
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_719])]) ).
fof(f1345,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_90
| ~ spl2_103 ),
inference(resolution,[],[f987,f1111]) ).
fof(f12718,plain,
( spl2_718
| ~ spl2_24
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1127,f1114,f185,f12716]) ).
fof(f12716,plain,
( spl2_718
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_718])]) ).
fof(f1127,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_24
| ~ spl2_104 ),
inference(resolution,[],[f1115,f186]) ).
fof(f12714,plain,
( spl2_717
| ~ spl2_25
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1126,f1114,f189,f12712]) ).
fof(f12712,plain,
( spl2_717
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_717])]) ).
fof(f1126,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_25
| ~ spl2_104 ),
inference(resolution,[],[f1115,f190]) ).
fof(f12710,plain,
( spl2_716
| ~ spl2_24
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1119,f1110,f185,f12708]) ).
fof(f12708,plain,
( spl2_716
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_716])]) ).
fof(f1119,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_24
| ~ spl2_103 ),
inference(resolution,[],[f1111,f186]) ).
fof(f12706,plain,
( spl2_715
| ~ spl2_25
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1118,f1110,f189,f12704]) ).
fof(f12704,plain,
( spl2_715
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_715])]) ).
fof(f1118,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))),sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_25
| ~ spl2_103 ),
inference(resolution,[],[f1111,f190]) ).
fof(f12663,plain,
( spl2_714
| ~ spl2_92
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1570,f1090,f994,f12661]) ).
fof(f12661,plain,
( spl2_714
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_714])]) ).
fof(f1090,plain,
( spl2_102
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_102])]) ).
fof(f1570,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_92
| ~ spl2_102 ),
inference(resolution,[],[f996,f1091]) ).
fof(f1091,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl2_102 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f12659,plain,
( spl2_713
| ~ spl2_92
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1569,f1086,f994,f12657]) ).
fof(f12657,plain,
( spl2_713
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_713])]) ).
fof(f1086,plain,
( spl2_101
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_101])]) ).
fof(f1569,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_92
| ~ spl2_101 ),
inference(resolution,[],[f996,f1087]) ).
fof(f1087,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl2_101 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f12655,plain,
( spl2_712
| ~ spl2_37
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1524,f994,f305,f12653]) ).
fof(f12653,plain,
( spl2_712
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_712])]) ).
fof(f305,plain,
( spl2_37
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f1524,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_37
| ~ spl2_92 ),
inference(resolution,[],[f996,f306]) ).
fof(f306,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f12597,plain,
( spl2_711
| ~ spl2_92
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1568,f1045,f994,f12595]) ).
fof(f12595,plain,
( spl2_711
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_711])]) ).
fof(f1045,plain,
( spl2_99
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_99])]) ).
fof(f1568,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_92
| ~ spl2_99 ),
inference(resolution,[],[f996,f1046]) ).
fof(f1046,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl2_99 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f12593,plain,
( spl2_710
| ~ spl2_92
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1567,f1041,f994,f12591]) ).
fof(f12591,plain,
( spl2_710
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_710])]) ).
fof(f1041,plain,
( spl2_98
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_98])]) ).
fof(f1567,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_92
| ~ spl2_98 ),
inference(resolution,[],[f996,f1042]) ).
fof(f1042,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl2_98 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f12589,plain,
( spl2_709
| ~ spl2_92
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1566,f1037,f994,f12587]) ).
fof(f12587,plain,
( spl2_709
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_709])]) ).
fof(f1037,plain,
( spl2_97
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_97])]) ).
fof(f1566,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_92
| ~ spl2_97 ),
inference(resolution,[],[f996,f1038]) ).
fof(f1038,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl2_97 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f12585,plain,
( spl2_708
| ~ spl2_92
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1565,f1033,f994,f12583]) ).
fof(f12583,plain,
( spl2_708
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_708])]) ).
fof(f1033,plain,
( spl2_96
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_96])]) ).
fof(f1565,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_92
| ~ spl2_96 ),
inference(resolution,[],[f996,f1034]) ).
fof(f1034,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X2) )
| ~ spl2_96 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f12551,plain,
( spl2_707
| ~ spl2_91
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1489,f1020,f990,f12549]) ).
fof(f12549,plain,
( spl2_707
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))),sdtasdt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_707])]) ).
fof(f1489,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))),sdtasdt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) )
| ~ spl2_91
| ~ spl2_95 ),
inference(resolution,[],[f991,f1021]) ).
fof(f12547,plain,
( spl2_706
| ~ spl2_90
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1338,f1020,f986,f12545]) ).
fof(f12545,plain,
( spl2_706
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))),sdtasdt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_706])]) ).
fof(f1338,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))),sdtasdt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) )
| ~ spl2_90
| ~ spl2_95 ),
inference(resolution,[],[f987,f1021]) ).
fof(f12495,plain,
( spl2_705
| ~ spl2_24
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1103,f1090,f185,f12493]) ).
fof(f12493,plain,
( spl2_705
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_705])]) ).
fof(f1103,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_24
| ~ spl2_102 ),
inference(resolution,[],[f1091,f186]) ).
fof(f12491,plain,
( spl2_704
| ~ spl2_25
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1102,f1090,f189,f12489]) ).
fof(f12489,plain,
( spl2_704
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_704])]) ).
fof(f1102,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_25
| ~ spl2_102 ),
inference(resolution,[],[f1091,f190]) ).
fof(f12487,plain,
( spl2_703
| ~ spl2_24
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1095,f1086,f185,f12485]) ).
fof(f12485,plain,
( spl2_703
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_703])]) ).
fof(f1095,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_24
| ~ spl2_101 ),
inference(resolution,[],[f1087,f186]) ).
fof(f12483,plain,
( spl2_702
| ~ spl2_25
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1094,f1086,f189,f12481]) ).
fof(f12481,plain,
( spl2_702
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_702])]) ).
fof(f1094,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_25
| ~ spl2_101 ),
inference(resolution,[],[f1087,f190]) ).
fof(f12401,plain,
( spl2_701
| ~ spl2_92
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1563,f1002,f994,f12399]) ).
fof(f12399,plain,
( spl2_701
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_701])]) ).
fof(f1002,plain,
( spl2_93
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_93])]) ).
fof(f1563,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) )
| ~ spl2_92
| ~ spl2_93 ),
inference(resolution,[],[f996,f1003]) ).
fof(f1003,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2))) )
| ~ spl2_93 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f12397,plain,
( spl2_700
| ~ spl2_91
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1495,f1090,f990,f12395]) ).
fof(f12395,plain,
( spl2_700
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_700])]) ).
fof(f1495,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_91
| ~ spl2_102 ),
inference(resolution,[],[f991,f1091]) ).
fof(f12393,plain,
( spl2_699
| ~ spl2_91
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1494,f1086,f990,f12391]) ).
fof(f12391,plain,
( spl2_699
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_699])]) ).
fof(f1494,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_91
| ~ spl2_101 ),
inference(resolution,[],[f991,f1087]) ).
fof(f12389,plain,
( spl2_698
| ~ spl2_90
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1344,f1090,f986,f12387]) ).
fof(f12387,plain,
( spl2_698
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_698])]) ).
fof(f1344,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_90
| ~ spl2_102 ),
inference(resolution,[],[f987,f1091]) ).
fof(f12385,plain,
( spl2_697
| ~ spl2_90
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1343,f1086,f986,f12383]) ).
fof(f12383,plain,
( spl2_697
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_697])]) ).
fof(f1343,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_90
| ~ spl2_101 ),
inference(resolution,[],[f987,f1087]) ).
fof(f12329,plain,
( spl2_696
| ~ spl2_9
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1128,f1114,f120,f12327]) ).
fof(f12327,plain,
( spl2_696
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))),sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_696])]) ).
fof(f1128,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))),sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl2_9
| ~ spl2_104 ),
inference(resolution,[],[f1115,f121]) ).
fof(f12325,plain,
( spl2_695
| ~ spl2_9
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1120,f1110,f120,f12323]) ).
fof(f12323,plain,
( spl2_695
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))),sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_695])]) ).
fof(f1120,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))),sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl2_9
| ~ spl2_103 ),
inference(resolution,[],[f1111,f121]) ).
fof(f12321,plain,
( spl2_694
| ~ spl2_24
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1025,f1020,f185,f12319]) ).
fof(f12319,plain,
( spl2_694
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))),sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_694])]) ).
fof(f1025,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))),sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_95 ),
inference(resolution,[],[f1021,f186]) ).
fof(f12317,plain,
( spl2_693
| ~ spl2_25
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1024,f1020,f189,f12315]) ).
fof(f12315,plain,
( spl2_693
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))),sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_693])]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))),sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_95 ),
inference(resolution,[],[f1021,f190]) ).
fof(f12215,plain,
( spl2_692
| ~ spl2_24
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1074,f1045,f185,f12213]) ).
fof(f12213,plain,
( spl2_692
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_692])]) ).
fof(f1074,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_24
| ~ spl2_99 ),
inference(resolution,[],[f1046,f186]) ).
fof(f12211,plain,
( spl2_691
| ~ spl2_25
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1073,f1045,f189,f12209]) ).
fof(f12209,plain,
( spl2_691
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_691])]) ).
fof(f1073,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_25
| ~ spl2_99 ),
inference(resolution,[],[f1046,f190]) ).
fof(f12207,plain,
( spl2_690
| ~ spl2_24
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1066,f1041,f185,f12205]) ).
fof(f12205,plain,
( spl2_690
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_690])]) ).
fof(f1066,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_24
| ~ spl2_98 ),
inference(resolution,[],[f1042,f186]) ).
fof(f12203,plain,
( spl2_689
| ~ spl2_25
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1065,f1041,f189,f12201]) ).
fof(f12201,plain,
( spl2_689
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_689])]) ).
fof(f1065,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_25
| ~ spl2_98 ),
inference(resolution,[],[f1042,f190]) ).
fof(f12197,plain,
( spl2_688
| ~ spl2_24
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1058,f1037,f185,f12195]) ).
fof(f12195,plain,
( spl2_688
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_688])]) ).
fof(f1058,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_24
| ~ spl2_97 ),
inference(resolution,[],[f1038,f186]) ).
fof(f12193,plain,
( spl2_687
| ~ spl2_25
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1057,f1037,f189,f12191]) ).
fof(f12191,plain,
( spl2_687
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_687])]) ).
fof(f1057,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_25
| ~ spl2_97 ),
inference(resolution,[],[f1038,f190]) ).
fof(f12189,plain,
( spl2_686
| ~ spl2_24
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1050,f1033,f185,f12187]) ).
fof(f12187,plain,
( spl2_686
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_686])]) ).
fof(f1050,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_24
| ~ spl2_96 ),
inference(resolution,[],[f1034,f186]) ).
fof(f12185,plain,
( spl2_685
| ~ spl2_25
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1049,f1033,f189,f12183]) ).
fof(f12183,plain,
( spl2_685
<=> ! [X2,X4,X0,X3,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_685])]) ).
fof(f1049,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl2_25
| ~ spl2_96 ),
inference(resolution,[],[f1034,f190]) ).
fof(f11986,plain,
( spl2_684
| ~ spl2_89
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1562,f994,f964,f11984]) ).
fof(f11984,plain,
( spl2_684
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_684])]) ).
fof(f964,plain,
( spl2_89
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_89])]) ).
fof(f1562,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) )
| ~ spl2_89
| ~ spl2_92 ),
inference(resolution,[],[f996,f965]) ).
fof(f965,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) )
| ~ spl2_89 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f11982,plain,
( spl2_683
| ~ spl2_88
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1561,f994,f960,f11980]) ).
fof(f11980,plain,
( spl2_683
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_683])]) ).
fof(f960,plain,
( spl2_88
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_88])]) ).
fof(f1561,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))) )
| ~ spl2_88
| ~ spl2_92 ),
inference(resolution,[],[f996,f961]) ).
fof(f961,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f11978,plain,
( spl2_682
| ~ spl2_36
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1523,f994,f301,f11976]) ).
fof(f11976,plain,
( spl2_682
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_682])]) ).
fof(f301,plain,
( spl2_36
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).
fof(f1523,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_36
| ~ spl2_92 ),
inference(resolution,[],[f996,f302]) ).
fof(f302,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f11972,plain,
( spl2_681
| ~ spl2_91
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1493,f1045,f990,f11970]) ).
fof(f11970,plain,
( spl2_681
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_681])]) ).
fof(f1493,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_91
| ~ spl2_99 ),
inference(resolution,[],[f991,f1046]) ).
fof(f11968,plain,
( spl2_680
| ~ spl2_91
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1492,f1041,f990,f11966]) ).
fof(f11966,plain,
( spl2_680
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_680])]) ).
fof(f1492,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_91
| ~ spl2_98 ),
inference(resolution,[],[f991,f1042]) ).
fof(f11964,plain,
( spl2_679
| ~ spl2_91
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1491,f1037,f990,f11962]) ).
fof(f11962,plain,
( spl2_679
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_679])]) ).
fof(f1491,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_91
| ~ spl2_97 ),
inference(resolution,[],[f991,f1038]) ).
fof(f11960,plain,
( spl2_678
| ~ spl2_91
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1490,f1033,f990,f11958]) ).
fof(f11958,plain,
( spl2_678
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_678])]) ).
fof(f1490,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xy,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_91
| ~ spl2_96 ),
inference(resolution,[],[f991,f1034]) ).
fof(f11956,plain,
( spl2_677
| ~ spl2_37
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1449,f990,f305,f11954]) ).
fof(f11954,plain,
( spl2_677
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_677])]) ).
fof(f1449,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_37
| ~ spl2_91 ),
inference(resolution,[],[f991,f306]) ).
fof(f11952,plain,
( spl2_676
| ~ spl2_90
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1342,f1045,f986,f11950]) ).
fof(f11950,plain,
( spl2_676
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_676])]) ).
fof(f1342,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_90
| ~ spl2_99 ),
inference(resolution,[],[f987,f1046]) ).
fof(f11948,plain,
( spl2_675
| ~ spl2_90
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1341,f1041,f986,f11946]) ).
fof(f11946,plain,
( spl2_675
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_675])]) ).
fof(f1341,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_90
| ~ spl2_98 ),
inference(resolution,[],[f987,f1042]) ).
fof(f11944,plain,
( spl2_674
| ~ spl2_90
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1340,f1037,f986,f11942]) ).
fof(f11942,plain,
( spl2_674
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_674])]) ).
fof(f1340,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_90
| ~ spl2_97 ),
inference(resolution,[],[f987,f1038]) ).
fof(f11940,plain,
( spl2_673
| ~ spl2_90
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1339,f1033,f986,f11938]) ).
fof(f11938,plain,
( spl2_673
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_673])]) ).
fof(f1339,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(xx,sdtpldt0(xu,xv)))))
| ~ aScalar0(X2) )
| ~ spl2_90
| ~ spl2_96 ),
inference(resolution,[],[f987,f1034]) ).
fof(f11936,plain,
( spl2_672
| ~ spl2_37
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1298,f986,f305,f11934]) ).
fof(f11934,plain,
( spl2_672
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_672])]) ).
fof(f1298,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_37
| ~ spl2_90 ),
inference(resolution,[],[f987,f306]) ).
fof(f11880,plain,
( spl2_671
| ~ spl2_9
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1104,f1090,f120,f11878]) ).
fof(f11878,plain,
( spl2_671
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_671])]) ).
fof(f1104,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl2_9
| ~ spl2_102 ),
inference(resolution,[],[f1091,f121]) ).
fof(f11876,plain,
( spl2_670
| ~ spl2_9
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1096,f1086,f120,f11874]) ).
fof(f11874,plain,
( spl2_670
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_670])]) ).
fof(f1096,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl2_9
| ~ spl2_101 ),
inference(resolution,[],[f1087,f121]) ).
fof(f11872,plain,
( spl2_669
| ~ spl2_24
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1007,f1002,f185,f11870]) ).
fof(f11870,plain,
( spl2_669
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_669])]) ).
fof(f1007,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_93 ),
inference(resolution,[],[f1003,f186]) ).
fof(f11868,plain,
( spl2_668
| ~ spl2_25
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1006,f1002,f189,f11866]) ).
fof(f11866,plain,
( spl2_668
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_668])]) ).
fof(f1006,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_93 ),
inference(resolution,[],[f1003,f190]) ).
fof(f11554,plain,
( spl2_667
| ~ spl2_18
| ~ spl2_141
| ~ spl2_666 ),
inference(avatar_split_clause,[],[f11550,f11547,f1726,f160,f11552]) ).
fof(f11552,plain,
( spl2_667
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_667])]) ).
fof(f11547,plain,
( spl2_666
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_666])]) ).
fof(f11550,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_18
| ~ spl2_141
| ~ spl2_666 ),
inference(forward_demodulation,[],[f11548,f1733]) ).
fof(f11548,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_666 ),
inference(avatar_component_clause,[],[f11547]) ).
fof(f11549,plain,
( spl2_666
| ~ spl2_53
| ~ spl2_86
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1592,f994,f893,f514,f11547]) ).
fof(f893,plain,
( spl2_86
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_86])]) ).
fof(f1592,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_53
| ~ spl2_86
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1560,f1534]) ).
fof(f1560,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_86
| ~ spl2_92 ),
inference(resolution,[],[f996,f894]) ).
fof(f894,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_86 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f11522,plain,
( spl2_665
| ~ spl2_16
| ~ spl2_141
| ~ spl2_664 ),
inference(avatar_split_clause,[],[f11518,f11515,f1726,f152,f11520]) ).
fof(f11520,plain,
( spl2_665
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_665])]) ).
fof(f11515,plain,
( spl2_664
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_664])]) ).
fof(f11518,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_16
| ~ spl2_141
| ~ spl2_664 ),
inference(forward_demodulation,[],[f11516,f1731]) ).
fof(f1731,plain,
( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_16
| ~ spl2_141 ),
inference(resolution,[],[f1728,f153]) ).
fof(f11516,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_664 ),
inference(avatar_component_clause,[],[f11515]) ).
fof(f11517,plain,
( spl2_664
| ~ spl2_52
| ~ spl2_85
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1591,f994,f889,f510,f11515]) ).
fof(f889,plain,
( spl2_85
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_85])]) ).
fof(f1591,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_52
| ~ spl2_85
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1559,f1533]) ).
fof(f1533,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_52
| ~ spl2_92 ),
inference(resolution,[],[f996,f511]) ).
fof(f1559,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_85
| ~ spl2_92 ),
inference(resolution,[],[f996,f890]) ).
fof(f890,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f11511,plain,
( spl2_663
| ~ spl2_50
| ~ spl2_78
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1590,f994,f775,f429,f11509]) ).
fof(f11509,plain,
( spl2_663
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_663])]) ).
fof(f775,plain,
( spl2_78
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X1,xv))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_78])]) ).
fof(f1590,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_50
| ~ spl2_78
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1554,f1532]) ).
fof(f1554,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_78
| ~ spl2_92 ),
inference(resolution,[],[f996,f776]) ).
fof(f776,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X1,xv))
| ~ aScalar0(X0) )
| ~ spl2_78 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f11507,plain,
( spl2_662
| ~ spl2_49
| ~ spl2_77
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1589,f994,f771,f425,f11505]) ).
fof(f11505,plain,
( spl2_662
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_662])]) ).
fof(f771,plain,
( spl2_77
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X1,xu))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_77])]) ).
fof(f1589,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_49
| ~ spl2_77
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1553,f1531]) ).
fof(f1553,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_77
| ~ spl2_92 ),
inference(resolution,[],[f996,f772]) ).
fof(f772,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X1,xu))
| ~ aScalar0(X0) )
| ~ spl2_77 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f11503,plain,
( spl2_661
| ~ spl2_47
| ~ spl2_76
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1588,f994,f767,f416,f11501]) ).
fof(f11501,plain,
( spl2_661
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_661])]) ).
fof(f767,plain,
( spl2_76
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X1,xy))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_76])]) ).
fof(f1588,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_47
| ~ spl2_76
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1552,f1530]) ).
fof(f1552,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_76
| ~ spl2_92 ),
inference(resolution,[],[f996,f768]) ).
fof(f768,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X1,xy))
| ~ aScalar0(X0) )
| ~ spl2_76 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f11499,plain,
( spl2_660
| ~ spl2_46
| ~ spl2_75
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1587,f994,f763,f412,f11497]) ).
fof(f11497,plain,
( spl2_660
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_660])]) ).
fof(f763,plain,
( spl2_75
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X1,xx))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_75])]) ).
fof(f1587,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_46
| ~ spl2_75
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1551,f1529]) ).
fof(f1551,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_75
| ~ spl2_92 ),
inference(resolution,[],[f996,f764]) ).
fof(f764,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X1,xx))
| ~ aScalar0(X0) )
| ~ spl2_75 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f11495,plain,
( spl2_659
| ~ spl2_45
| ~ spl2_74
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1586,f994,f759,f408,f11493]) ).
fof(f759,plain,
( spl2_74
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xv)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xv))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_74])]) ).
fof(f1586,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_45
| ~ spl2_74
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1550,f1528]) ).
fof(f1550,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_74
| ~ spl2_92 ),
inference(resolution,[],[f996,f760]) ).
fof(f760,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xv)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_74 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f11491,plain,
( spl2_658
| ~ spl2_44
| ~ spl2_73
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1585,f994,f755,f404,f11489]) ).
fof(f755,plain,
( spl2_73
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xu)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xu))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_73])]) ).
fof(f1585,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_44
| ~ spl2_73
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1549,f1527]) ).
fof(f1549,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_73
| ~ spl2_92 ),
inference(resolution,[],[f996,f756]) ).
fof(f756,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xu)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_73 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f11487,plain,
( spl2_657
| ~ spl2_43
| ~ spl2_72
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1584,f994,f751,f400,f11485]) ).
fof(f751,plain,
( spl2_72
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xy)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xy))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_72])]) ).
fof(f1584,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_43
| ~ spl2_72
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1548,f1526]) ).
fof(f1548,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_72
| ~ spl2_92 ),
inference(resolution,[],[f996,f752]) ).
fof(f752,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xy)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_72 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f11483,plain,
( spl2_656
| ~ spl2_42
| ~ spl2_71
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1583,f994,f747,f396,f11481]) ).
fof(f747,plain,
( spl2_71
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xx))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_71])]) ).
fof(f1583,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_42
| ~ spl2_71
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1547,f1525]) ).
fof(f1547,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_71
| ~ spl2_92 ),
inference(resolution,[],[f996,f748]) ).
fof(f748,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_71 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f11479,plain,
( spl2_655
| ~ spl2_84
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1558,f994,f885,f11477]) ).
fof(f11477,plain,
( spl2_655
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_655])]) ).
fof(f885,plain,
( spl2_84
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_84])]) ).
fof(f1558,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_84
| ~ spl2_92 ),
inference(resolution,[],[f996,f886]) ).
fof(f886,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_84 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f11475,plain,
( spl2_654
| ~ spl2_83
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1557,f994,f881,f11473]) ).
fof(f11473,plain,
( spl2_654
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_654])]) ).
fof(f881,plain,
( spl2_83
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_83])]) ).
fof(f1557,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_83
| ~ spl2_92 ),
inference(resolution,[],[f996,f882]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_83 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f11469,plain,
( spl2_653
| ~ spl2_81
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1556,f994,f872,f11467]) ).
fof(f11467,plain,
( spl2_653
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_653])]) ).
fof(f872,plain,
( spl2_81
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).
fof(f1556,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_81
| ~ spl2_92 ),
inference(resolution,[],[f996,f873]) ).
fof(f873,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_81 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f11465,plain,
( spl2_652
| ~ spl2_80
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1555,f994,f868,f11463]) ).
fof(f11463,plain,
( spl2_652
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_652])]) ).
fof(f868,plain,
( spl2_80
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_80])]) ).
fof(f1555,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_80
| ~ spl2_92 ),
inference(resolution,[],[f996,f869]) ).
fof(f869,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_80 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f11461,plain,
( spl2_651
| ~ spl2_34
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1522,f994,f268,f11459]) ).
fof(f11459,plain,
( spl2_651
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_651])]) ).
fof(f268,plain,
( spl2_34
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).
fof(f1522,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_34
| ~ spl2_92 ),
inference(resolution,[],[f996,f269]) ).
fof(f269,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f11457,plain,
( spl2_650
| ~ spl2_33
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1521,f994,f264,f11455]) ).
fof(f11455,plain,
( spl2_650
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_650])]) ).
fof(f264,plain,
( spl2_33
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).
fof(f1521,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_33
| ~ spl2_92 ),
inference(resolution,[],[f996,f265]) ).
fof(f265,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f11453,plain,
( spl2_649
| ~ spl2_91
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1488,f1002,f990,f11451]) ).
fof(f11451,plain,
( spl2_649
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_649])]) ).
fof(f1488,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) )
| ~ spl2_91
| ~ spl2_93 ),
inference(resolution,[],[f991,f1003]) ).
fof(f11449,plain,
( spl2_648
| ~ spl2_90
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1337,f1002,f986,f11447]) ).
fof(f11447,plain,
( spl2_648
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_648])]) ).
fof(f1337,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) )
| ~ spl2_90
| ~ spl2_93 ),
inference(resolution,[],[f987,f1003]) ).
fof(f11277,plain,
( spl2_647
| ~ spl2_6
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1125,f1114,f102,f11275]) ).
fof(f11275,plain,
( spl2_647
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sz0z00)),sdtasdt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_647])]) ).
fof(f1125,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,sz0z00)),sdtasdt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl2_6
| ~ spl2_104 ),
inference(resolution,[],[f1115,f104]) ).
fof(f11273,plain,
( spl2_646
| ~ spl2_6
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1117,f1110,f102,f11271]) ).
fof(f11271,plain,
( spl2_646
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sz0z00)),sdtasdt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_646])]) ).
fof(f1117,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,sz0z00)),sdtasdt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl2_6
| ~ spl2_103 ),
inference(resolution,[],[f1111,f104]) ).
fof(f11269,plain,
( spl2_645
| ~ spl2_9
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1075,f1045,f120,f11267]) ).
fof(f11267,plain,
( spl2_645
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_645])]) ).
fof(f1075,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl2_9
| ~ spl2_99 ),
inference(resolution,[],[f1046,f121]) ).
fof(f11263,plain,
( spl2_644
| ~ spl2_9
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1067,f1041,f120,f11261]) ).
fof(f11261,plain,
( spl2_644
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_644])]) ).
fof(f1067,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl2_9
| ~ spl2_98 ),
inference(resolution,[],[f1042,f121]) ).
fof(f11259,plain,
( spl2_643
| ~ spl2_9
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1059,f1037,f120,f11257]) ).
fof(f11257,plain,
( spl2_643
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_643])]) ).
fof(f1059,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl2_9
| ~ spl2_97 ),
inference(resolution,[],[f1038,f121]) ).
fof(f11255,plain,
( spl2_642
| ~ spl2_9
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1051,f1033,f120,f11253]) ).
fof(f11253,plain,
( spl2_642
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_642])]) ).
fof(f1051,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X3) )
| ~ spl2_9
| ~ spl2_96 ),
inference(resolution,[],[f1034,f121]) ).
fof(f11251,plain,
( spl2_641
| ~ spl2_9
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1026,f1020,f120,f11249]) ).
fof(f11249,plain,
( spl2_641
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(smndt0(X2))),sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_641])]) ).
fof(f1026,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(smndt0(X2))),sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_95 ),
inference(resolution,[],[f1021,f121]) ).
fof(f11247,plain,
( spl2_640
| ~ spl2_24
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f978,f964,f185,f11245]) ).
fof(f11245,plain,
( spl2_640
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_640])]) ).
fof(f978,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_89 ),
inference(resolution,[],[f965,f186]) ).
fof(f11243,plain,
( spl2_639
| ~ spl2_25
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f977,f964,f189,f11241]) ).
fof(f11241,plain,
( spl2_639
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_639])]) ).
fof(f977,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_89 ),
inference(resolution,[],[f965,f190]) ).
fof(f11239,plain,
( spl2_638
| ~ spl2_24
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f969,f960,f185,f11237]) ).
fof(f11237,plain,
( spl2_638
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_638])]) ).
fof(f969,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_88 ),
inference(resolution,[],[f961,f186]) ).
fof(f11235,plain,
( spl2_637
| ~ spl2_25
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f968,f960,f189,f11233]) ).
fof(f11233,plain,
( spl2_637
<=> ! [X0,X3,X2,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_637])]) ).
fof(f968,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_88 ),
inference(resolution,[],[f961,f190]) ).
fof(f10863,plain,
( spl2_636
| ~ spl2_18
| ~ spl2_141
| ~ spl2_635 ),
inference(avatar_split_clause,[],[f10859,f10856,f1726,f160,f10861]) ).
fof(f10861,plain,
( spl2_636
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_636])]) ).
fof(f10856,plain,
( spl2_635
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_635])]) ).
fof(f10859,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_18
| ~ spl2_141
| ~ spl2_635 ),
inference(forward_demodulation,[],[f10857,f1733]) ).
fof(f10857,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_635 ),
inference(avatar_component_clause,[],[f10856]) ).
fof(f10858,plain,
( spl2_635
| ~ spl2_53
| ~ spl2_68
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1582,f994,f705,f514,f10856]) ).
fof(f705,plain,
( spl2_68
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_68])]) ).
fof(f1582,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_53
| ~ spl2_68
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1546,f1534]) ).
fof(f1546,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_68
| ~ spl2_92 ),
inference(resolution,[],[f996,f706]) ).
fof(f706,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_68 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f10853,plain,
( spl2_634
| ~ spl2_52
| ~ spl2_67
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1581,f994,f701,f510,f10851]) ).
fof(f10851,plain,
( spl2_634
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_634])]) ).
fof(f701,plain,
( spl2_67
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_67])]) ).
fof(f1581,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_52
| ~ spl2_67
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1545,f1533]) ).
fof(f1545,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_67
| ~ spl2_92 ),
inference(resolution,[],[f996,f702]) ).
fof(f702,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_67 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f10849,plain,
( spl2_633
| ~ spl2_50
| ~ spl2_65
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1580,f994,f608,f429,f10847]) ).
fof(f608,plain,
( spl2_65
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xv) = sdtasdt0(X0,sdtasdt0(X1,xv))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_65])]) ).
fof(f1580,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_50
| ~ spl2_65
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1544,f1532]) ).
fof(f1544,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_65
| ~ spl2_92 ),
inference(resolution,[],[f996,f609]) ).
fof(f609,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xv) = sdtasdt0(X0,sdtasdt0(X1,xv))
| ~ aScalar0(X0) )
| ~ spl2_65 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f10845,plain,
( spl2_632
| ~ spl2_49
| ~ spl2_64
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1579,f994,f604,f425,f10843]) ).
fof(f604,plain,
( spl2_64
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xu) = sdtasdt0(X0,sdtasdt0(X1,xu))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_64])]) ).
fof(f1579,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_49
| ~ spl2_64
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1543,f1531]) ).
fof(f1543,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_64
| ~ spl2_92 ),
inference(resolution,[],[f996,f605]) ).
fof(f605,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xu) = sdtasdt0(X0,sdtasdt0(X1,xu))
| ~ aScalar0(X0) )
| ~ spl2_64 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f10841,plain,
( spl2_631
| ~ spl2_47
| ~ spl2_63
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1578,f994,f600,f416,f10839]) ).
fof(f600,plain,
( spl2_63
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xy) = sdtasdt0(X0,sdtasdt0(X1,xy))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_63])]) ).
fof(f1578,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_47
| ~ spl2_63
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1542,f1530]) ).
fof(f1542,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_63
| ~ spl2_92 ),
inference(resolution,[],[f996,f601]) ).
fof(f601,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xy) = sdtasdt0(X0,sdtasdt0(X1,xy))
| ~ aScalar0(X0) )
| ~ spl2_63 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f10837,plain,
( spl2_630
| ~ spl2_46
| ~ spl2_62
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1577,f994,f596,f412,f10835]) ).
fof(f596,plain,
( spl2_62
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(X0,sdtasdt0(X1,xx))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_62])]) ).
fof(f1577,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_46
| ~ spl2_62
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1541,f1529]) ).
fof(f1541,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_62
| ~ spl2_92 ),
inference(resolution,[],[f996,f597]) ).
fof(f597,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(X0,sdtasdt0(X1,xx))
| ~ aScalar0(X0) )
| ~ spl2_62 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f10833,plain,
( spl2_629
| ~ spl2_45
| ~ spl2_61
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1576,f994,f592,f408,f10831]) ).
fof(f10831,plain,
( spl2_629
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_629])]) ).
fof(f592,plain,
( spl2_61
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xv) = sdtpldt0(X0,sdtpldt0(X1,xv))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_61])]) ).
fof(f1576,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_45
| ~ spl2_61
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1540,f1528]) ).
fof(f1540,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_61
| ~ spl2_92 ),
inference(resolution,[],[f996,f593]) ).
fof(f593,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xv) = sdtpldt0(X0,sdtpldt0(X1,xv))
| ~ aScalar0(X0) )
| ~ spl2_61 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f10829,plain,
( spl2_628
| ~ spl2_44
| ~ spl2_60
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1575,f994,f588,f404,f10827]) ).
fof(f10827,plain,
( spl2_628
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_628])]) ).
fof(f588,plain,
( spl2_60
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xu) = sdtpldt0(X0,sdtpldt0(X1,xu))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_60])]) ).
fof(f1575,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_44
| ~ spl2_60
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1539,f1527]) ).
fof(f1539,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_60
| ~ spl2_92 ),
inference(resolution,[],[f996,f589]) ).
fof(f589,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xu) = sdtpldt0(X0,sdtpldt0(X1,xu))
| ~ aScalar0(X0) )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f10823,plain,
( spl2_627
| ~ spl2_43
| ~ spl2_59
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1574,f994,f584,f400,f10821]) ).
fof(f10821,plain,
( spl2_627
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_627])]) ).
fof(f584,plain,
( spl2_59
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xy) = sdtpldt0(X0,sdtpldt0(X1,xy))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).
fof(f1574,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_43
| ~ spl2_59
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1538,f1526]) ).
fof(f1538,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_59
| ~ spl2_92 ),
inference(resolution,[],[f996,f585]) ).
fof(f585,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xy) = sdtpldt0(X0,sdtpldt0(X1,xy))
| ~ aScalar0(X0) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f10819,plain,
( spl2_626
| ~ spl2_42
| ~ spl2_58
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1573,f994,f580,f396,f10817]) ).
fof(f10817,plain,
( spl2_626
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_626])]) ).
fof(f580,plain,
( spl2_58
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(X0,sdtpldt0(X1,xx))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).
fof(f1573,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_42
| ~ spl2_58
| ~ spl2_92 ),
inference(forward_demodulation,[],[f1537,f1525]) ).
fof(f1537,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_58
| ~ spl2_92 ),
inference(resolution,[],[f996,f581]) ).
fof(f581,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(X0,sdtpldt0(X1,xx))
| ~ aScalar0(X0) )
| ~ spl2_58 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f10815,plain,
( spl2_625
| ~ spl2_89
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1487,f990,f964,f10813]) ).
fof(f10813,plain,
( spl2_625
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_625])]) ).
fof(f1487,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) )
| ~ spl2_89
| ~ spl2_91 ),
inference(resolution,[],[f991,f965]) ).
fof(f10811,plain,
( spl2_624
| ~ spl2_88
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1486,f990,f960,f10809]) ).
fof(f10809,plain,
( spl2_624
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_624])]) ).
fof(f1486,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))))) )
| ~ spl2_88
| ~ spl2_91 ),
inference(resolution,[],[f991,f961]) ).
fof(f10807,plain,
( spl2_623
| ~ spl2_36
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1448,f990,f301,f10805]) ).
fof(f10805,plain,
( spl2_623
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_623])]) ).
fof(f1448,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_36
| ~ spl2_91 ),
inference(resolution,[],[f991,f302]) ).
fof(f10803,plain,
( spl2_622
| ~ spl2_89
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1336,f986,f964,f10801]) ).
fof(f10801,plain,
( spl2_622
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_622])]) ).
fof(f1336,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) )
| ~ spl2_89
| ~ spl2_90 ),
inference(resolution,[],[f987,f965]) ).
fof(f10799,plain,
( spl2_621
| ~ spl2_88
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1335,f986,f960,f10797]) ).
fof(f10797,plain,
( spl2_621
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_621])]) ).
fof(f1335,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))))) )
| ~ spl2_88
| ~ spl2_90 ),
inference(resolution,[],[f987,f961]) ).
fof(f10795,plain,
( spl2_620
| ~ spl2_36
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1297,f986,f301,f10793]) ).
fof(f10793,plain,
( spl2_620
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_620])]) ).
fof(f1297,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_36
| ~ spl2_90 ),
inference(resolution,[],[f987,f302]) ).
fof(f10791,plain,
( spl2_619
| ~ spl2_4
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1132,f1114,f92,f10789]) ).
fof(f10789,plain,
( spl2_619
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xv)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xv)),sdtasdt0(X0,sdtasdt0(X2,xv)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_619])]) ).
fof(f1132,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xv)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xv)),sdtasdt0(X0,sdtasdt0(X2,xv)))
| ~ aScalar0(X2) )
| ~ spl2_4
| ~ spl2_104 ),
inference(resolution,[],[f1115,f94]) ).
fof(f10787,plain,
( spl2_618
| ~ spl2_3
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1131,f1114,f87,f10785]) ).
fof(f10785,plain,
( spl2_618
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xu)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xu)),sdtasdt0(X0,sdtasdt0(X2,xu)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_618])]) ).
fof(f1131,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xu)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xu)),sdtasdt0(X0,sdtasdt0(X2,xu)))
| ~ aScalar0(X2) )
| ~ spl2_3
| ~ spl2_104 ),
inference(resolution,[],[f1115,f89]) ).
fof(f10781,plain,
( spl2_617
| ~ spl2_2
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1130,f1114,f82,f10779]) ).
fof(f10779,plain,
( spl2_617
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xy)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xy)),sdtasdt0(X0,sdtasdt0(X2,xy)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_617])]) ).
fof(f1130,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xy)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xy)),sdtasdt0(X0,sdtasdt0(X2,xy)))
| ~ aScalar0(X2) )
| ~ spl2_2
| ~ spl2_104 ),
inference(resolution,[],[f1115,f84]) ).
fof(f10777,plain,
( spl2_616
| ~ spl2_1
| ~ spl2_104 ),
inference(avatar_split_clause,[],[f1129,f1114,f77,f10775]) ).
fof(f10775,plain,
( spl2_616
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xx)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xx)),sdtasdt0(X0,sdtasdt0(X2,xx)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_616])]) ).
fof(f1129,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtasdt0(X2,xx)) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,xx)),sdtasdt0(X0,sdtasdt0(X2,xx)))
| ~ aScalar0(X2) )
| ~ spl2_1
| ~ spl2_104 ),
inference(resolution,[],[f1115,f79]) ).
fof(f10773,plain,
( spl2_615
| ~ spl2_4
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1124,f1110,f92,f10771]) ).
fof(f10771,plain,
( spl2_615
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xv)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xv)),sdtasdt0(X0,sdtpldt0(X2,xv)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_615])]) ).
fof(f1124,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xv)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xv)),sdtasdt0(X0,sdtpldt0(X2,xv)))
| ~ aScalar0(X2) )
| ~ spl2_4
| ~ spl2_103 ),
inference(resolution,[],[f1111,f94]) ).
fof(f10769,plain,
( spl2_614
| ~ spl2_3
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1123,f1110,f87,f10767]) ).
fof(f10767,plain,
( spl2_614
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xu)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xu)),sdtasdt0(X0,sdtpldt0(X2,xu)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_614])]) ).
fof(f1123,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xu)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xu)),sdtasdt0(X0,sdtpldt0(X2,xu)))
| ~ aScalar0(X2) )
| ~ spl2_3
| ~ spl2_103 ),
inference(resolution,[],[f1111,f89]) ).
fof(f10765,plain,
( spl2_613
| ~ spl2_2
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1122,f1110,f82,f10763]) ).
fof(f10763,plain,
( spl2_613
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xy)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xy)),sdtasdt0(X0,sdtpldt0(X2,xy)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_613])]) ).
fof(f1122,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xy)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xy)),sdtasdt0(X0,sdtpldt0(X2,xy)))
| ~ aScalar0(X2) )
| ~ spl2_2
| ~ spl2_103 ),
inference(resolution,[],[f1111,f84]) ).
fof(f10761,plain,
( spl2_612
| ~ spl2_1
| ~ spl2_103 ),
inference(avatar_split_clause,[],[f1121,f1110,f77,f10759]) ).
fof(f10759,plain,
( spl2_612
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xx)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xx)),sdtasdt0(X0,sdtpldt0(X2,xx)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_612])]) ).
fof(f1121,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),sdtpldt0(X2,xx)) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,xx)),sdtasdt0(X0,sdtpldt0(X2,xx)))
| ~ aScalar0(X2) )
| ~ spl2_1
| ~ spl2_103 ),
inference(resolution,[],[f1111,f79]) ).
fof(f10540,plain,
( spl2_611
| ~ spl2_6
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1101,f1090,f102,f10538]) ).
fof(f10538,plain,
( spl2_611
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz0z00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_611])]) ).
fof(f1101,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz0z00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl2_6
| ~ spl2_102 ),
inference(resolution,[],[f1091,f104]) ).
fof(f10536,plain,
( spl2_610
| ~ spl2_6
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1093,f1086,f102,f10534]) ).
fof(f10534,plain,
( spl2_610
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz0z00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_610])]) ).
fof(f1093,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz0z00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl2_6
| ~ spl2_101 ),
inference(resolution,[],[f1087,f104]) ).
fof(f10532,plain,
( spl2_609
| ~ spl2_9
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1008,f1002,f120,f10530]) ).
fof(f10530,plain,
( spl2_609
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X2))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_609])]) ).
fof(f1008,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X2))))
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_93 ),
inference(resolution,[],[f1003,f121]) ).
fof(f10528,plain,
( spl2_608
| ~ spl2_24
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f943,f893,f185,f10526]) ).
fof(f10526,plain,
( spl2_608
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_608])]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_86 ),
inference(resolution,[],[f894,f186]) ).
fof(f10524,plain,
( spl2_607
| ~ spl2_25
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f942,f893,f189,f10522]) ).
fof(f10522,plain,
( spl2_607
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_607])]) ).
fof(f942,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_86 ),
inference(resolution,[],[f894,f190]) ).
fof(f10520,plain,
( spl2_606
| ~ spl2_24
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f930,f889,f185,f10518]) ).
fof(f10518,plain,
( spl2_606
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_606])]) ).
fof(f930,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_85 ),
inference(resolution,[],[f890,f186]) ).
fof(f10516,plain,
( spl2_605
| ~ spl2_25
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f929,f889,f189,f10514]) ).
fof(f10514,plain,
( spl2_605
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_605])]) ).
fof(f929,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_85 ),
inference(resolution,[],[f890,f190]) ).
fof(f10512,plain,
( spl2_604
| ~ spl2_24
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f922,f885,f185,f10510]) ).
fof(f10510,plain,
( spl2_604
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_604])]) ).
fof(f922,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_84 ),
inference(resolution,[],[f886,f186]) ).
fof(f10508,plain,
( spl2_603
| ~ spl2_6
| ~ spl2_113
| ~ spl2_115
| ~ spl2_299 ),
inference(avatar_split_clause,[],[f5468,f4614,f1224,f1174,f102,f10505]) ).
fof(f10505,plain,
( spl2_603
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_603])]) ).
fof(f5468,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xv,xv))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_115
| ~ spl2_299 ),
inference(forward_demodulation,[],[f5467,f1226]) ).
fof(f5467,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xv,xv))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_299 ),
inference(forward_demodulation,[],[f5455,f1176]) ).
fof(f5455,plain,
( sdtasdt0(sz0z00,sdtpldt0(xv,xv)) = sdtpldt0(sdtasdt0(sz0z00,xv),sdtasdt0(sz0z00,xv))
| ~ spl2_6
| ~ spl2_299 ),
inference(resolution,[],[f4615,f104]) ).
fof(f10503,plain,
( spl2_602
| ~ spl2_25
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f921,f885,f189,f10501]) ).
fof(f10501,plain,
( spl2_602
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_602])]) ).
fof(f921,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_84 ),
inference(resolution,[],[f886,f190]) ).
fof(f10499,plain,
( spl2_601
| ~ spl2_24
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f914,f881,f185,f10497]) ).
fof(f10497,plain,
( spl2_601
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_601])]) ).
fof(f914,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_83 ),
inference(resolution,[],[f882,f186]) ).
fof(f10495,plain,
( spl2_600
| ~ spl2_25
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f913,f881,f189,f10493]) ).
fof(f10493,plain,
( spl2_600
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_600])]) ).
fof(f913,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_83 ),
inference(resolution,[],[f882,f190]) ).
fof(f10491,plain,
( spl2_599
| ~ spl2_24
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f906,f872,f185,f10489]) ).
fof(f10489,plain,
( spl2_599
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_599])]) ).
fof(f906,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_81 ),
inference(resolution,[],[f873,f186]) ).
fof(f10487,plain,
( spl2_598
| ~ spl2_25
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f905,f872,f189,f10485]) ).
fof(f10485,plain,
( spl2_598
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_598])]) ).
fof(f905,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_81 ),
inference(resolution,[],[f873,f190]) ).
fof(f10483,plain,
( spl2_597
| ~ spl2_24
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f898,f868,f185,f10481]) ).
fof(f10481,plain,
( spl2_597
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_597])]) ).
fof(f898,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_80 ),
inference(resolution,[],[f869,f186]) ).
fof(f10479,plain,
( spl2_596
| ~ spl2_25
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f897,f868,f189,f10477]) ).
fof(f10477,plain,
( spl2_596
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_596])]) ).
fof(f897,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_80 ),
inference(resolution,[],[f869,f190]) ).
fof(f10475,plain,
( spl2_595
| ~ spl2_23
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f745,f740,f181,f10473]) ).
fof(f10473,plain,
( spl2_595
<=> ! [X0] :
( sK1(sK1(X0)) = szszuzczcdt0(sK1(sK1(sK1(X0))))
| sz00 = sK1(X0)
| sz00 = sK1(sK1(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_595])]) ).
fof(f740,plain,
( spl2_70
<=> ! [X0] :
( sz00 = sK1(X0)
| sK1(X0) = szszuzczcdt0(sK1(sK1(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_70])]) ).
fof(f745,plain,
( ! [X0] :
( sK1(sK1(X0)) = szszuzczcdt0(sK1(sK1(sK1(X0))))
| sz00 = sK1(X0)
| sz00 = sK1(sK1(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl2_23
| ~ spl2_70 ),
inference(resolution,[],[f741,f182]) ).
fof(f741,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sK1(X0) = szszuzczcdt0(sK1(sK1(X0)))
| sz00 = X0
| sz00 = sK1(X0) )
| ~ spl2_70 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f10210,plain,
( spl2_594
| ~ spl2_6
| ~ spl2_108
| ~ spl2_115
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f5345,f4589,f1224,f1149,f102,f10207]) ).
fof(f10207,plain,
( spl2_594
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_594])]) ).
fof(f5345,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xu,xu))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_115
| ~ spl2_293 ),
inference(forward_demodulation,[],[f5344,f1226]) ).
fof(f5344,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xu,xu))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_293 ),
inference(forward_demodulation,[],[f5332,f1151]) ).
fof(f5332,plain,
( sdtasdt0(sz0z00,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(sz0z00,xu),sdtasdt0(sz0z00,xu))
| ~ spl2_6
| ~ spl2_293 ),
inference(resolution,[],[f4590,f104]) ).
fof(f10078,plain,
( spl2_593
| ~ spl2_364
| ~ spl2_560 ),
inference(avatar_split_clause,[],[f9252,f9249,f6270,f10076]) ).
fof(f10076,plain,
( spl2_593
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_593])]) ).
fof(f6270,plain,
( spl2_364
<=> sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_364])]) ).
fof(f9249,plain,
( spl2_560
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_560])]) ).
fof(f9252,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_364
| ~ spl2_560 ),
inference(forward_demodulation,[],[f9250,f6272]) ).
fof(f6272,plain,
( sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_364 ),
inference(avatar_component_clause,[],[f6270]) ).
fof(f9250,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_560 ),
inference(avatar_component_clause,[],[f9249]) ).
fof(f10023,plain,
( spl2_592
| ~ spl2_6
| ~ spl2_94
| ~ spl2_113
| ~ spl2_115
| ~ spl2_290 ),
inference(avatar_split_clause,[],[f5268,f4577,f1224,f1174,f1015,f102,f10020]) ).
fof(f10020,plain,
( spl2_592
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_592])]) ).
fof(f5268,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,xv))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_113
| ~ spl2_115
| ~ spl2_290 ),
inference(forward_demodulation,[],[f5267,f1226]) ).
fof(f5267,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,xv))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_113
| ~ spl2_290 ),
inference(forward_demodulation,[],[f5266,f1176]) ).
fof(f5266,plain,
( sdtpldt0(sdtasdt0(sz0z00,xv),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,xv))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_290 ),
inference(forward_demodulation,[],[f5254,f1017]) ).
fof(f5254,plain,
( sdtpldt0(sdtasdt0(sz0z00,xv),sdtasdt0(sz0z00,xy)) = sdtasdt0(sz0z00,sdtpldt0(xy,xv))
| ~ spl2_6
| ~ spl2_290 ),
inference(resolution,[],[f4578,f104]) ).
fof(f9830,plain,
( spl2_591
| ~ spl2_6
| ~ spl2_94
| ~ spl2_108
| ~ spl2_115
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f5242,f4573,f1224,f1149,f1015,f102,f9827]) ).
fof(f9827,plain,
( spl2_591
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_591])]) ).
fof(f5242,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,xu))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_108
| ~ spl2_115
| ~ spl2_289 ),
inference(forward_demodulation,[],[f5241,f1226]) ).
fof(f5241,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,xu))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_108
| ~ spl2_289 ),
inference(forward_demodulation,[],[f5240,f1151]) ).
fof(f5240,plain,
( sdtpldt0(sdtasdt0(sz0z00,xu),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,xu))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_289 ),
inference(forward_demodulation,[],[f5228,f1017]) ).
fof(f5228,plain,
( sdtpldt0(sdtasdt0(sz0z00,xu),sdtasdt0(sz0z00,xy)) = sdtasdt0(sz0z00,sdtpldt0(xy,xu))
| ~ spl2_6
| ~ spl2_289 ),
inference(resolution,[],[f4574,f104]) ).
fof(f9658,plain,
( spl2_590
| ~ spl2_6
| ~ spl2_94
| ~ spl2_115
| ~ spl2_288 ),
inference(avatar_split_clause,[],[f5221,f4569,f1224,f1015,f102,f9655]) ).
fof(f9655,plain,
( spl2_590
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_590])]) ).
fof(f5221,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xy,xy))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_115
| ~ spl2_288 ),
inference(forward_demodulation,[],[f5220,f1226]) ).
fof(f5220,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xy,xy))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_288 ),
inference(forward_demodulation,[],[f5208,f1017]) ).
fof(f5208,plain,
( sdtasdt0(sz0z00,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(sz0z00,xy),sdtasdt0(sz0z00,xy))
| ~ spl2_6
| ~ spl2_288 ),
inference(resolution,[],[f4570,f104]) ).
fof(f9533,plain,
( spl2_589
| ~ spl2_6
| ~ spl2_66
| ~ spl2_113
| ~ spl2_115
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f5167,f4556,f1224,f1174,f635,f102,f9530]) ).
fof(f9530,plain,
( spl2_589
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_589])]) ).
fof(f5167,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,xv))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_113
| ~ spl2_115
| ~ spl2_285 ),
inference(forward_demodulation,[],[f5166,f1226]) ).
fof(f5166,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,xv))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_113
| ~ spl2_285 ),
inference(forward_demodulation,[],[f5165,f1176]) ).
fof(f5165,plain,
( sdtpldt0(sdtasdt0(sz0z00,xv),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,xv))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_285 ),
inference(forward_demodulation,[],[f5153,f637]) ).
fof(f5153,plain,
( sdtpldt0(sdtasdt0(sz0z00,xv),sdtasdt0(sz0z00,xx)) = sdtasdt0(sz0z00,sdtpldt0(xx,xv))
| ~ spl2_6
| ~ spl2_285 ),
inference(resolution,[],[f4557,f104]) ).
fof(f9492,plain,
( spl2_588
| ~ spl2_56
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1536,f994,f550,f9490]) ).
fof(f9490,plain,
( spl2_588
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_588])]) ).
fof(f550,plain,
( spl2_56
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).
fof(f1536,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtasdt0(smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) )
| ~ spl2_56
| ~ spl2_92 ),
inference(resolution,[],[f996,f551]) ).
fof(f551,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X0) )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f9488,plain,
( spl2_587
| ~ spl2_55
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1535,f994,f546,f9486]) ).
fof(f9486,plain,
( spl2_587
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_587])]) ).
fof(f546,plain,
( spl2_55
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_55])]) ).
fof(f1535,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))) = sdtpldt0(smndt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) )
| ~ spl2_55
| ~ spl2_92 ),
inference(resolution,[],[f996,f547]) ).
fof(f547,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X0) )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f9449,plain,
( spl2_586
| ~ spl2_18
| ~ spl2_128
| ~ spl2_585 ),
inference(avatar_split_clause,[],[f9445,f9442,f1616,f160,f9447]) ).
fof(f9442,plain,
( spl2_585
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_585])]) ).
fof(f9445,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_18
| ~ spl2_128
| ~ spl2_585 ),
inference(forward_demodulation,[],[f9443,f1630]) ).
fof(f9443,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_585 ),
inference(avatar_component_clause,[],[f9442]) ).
fof(f9444,plain,
( spl2_585
| ~ spl2_53
| ~ spl2_86
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1517,f990,f893,f514,f9442]) ).
fof(f1517,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_53
| ~ spl2_86
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1485,f1459]) ).
fof(f1485,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_86
| ~ spl2_91 ),
inference(resolution,[],[f991,f894]) ).
fof(f9416,plain,
( spl2_584
| ~ spl2_16
| ~ spl2_128
| ~ spl2_582 ),
inference(avatar_split_clause,[],[f9407,f9404,f1616,f152,f9414]) ).
fof(f9414,plain,
( spl2_584
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_584])]) ).
fof(f9404,plain,
( spl2_582
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_582])]) ).
fof(f9407,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_16
| ~ spl2_128
| ~ spl2_582 ),
inference(forward_demodulation,[],[f9405,f1628]) ).
fof(f9405,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_582 ),
inference(avatar_component_clause,[],[f9404]) ).
fof(f9412,plain,
( spl2_583
| ~ spl2_6
| ~ spl2_66
| ~ spl2_108
| ~ spl2_115
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f5140,f4552,f1224,f1149,f635,f102,f9409]) ).
fof(f9409,plain,
( spl2_583
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_583])]) ).
fof(f5140,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,xu))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_108
| ~ spl2_115
| ~ spl2_284 ),
inference(forward_demodulation,[],[f5139,f1226]) ).
fof(f5139,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,xu))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_108
| ~ spl2_284 ),
inference(forward_demodulation,[],[f5138,f1151]) ).
fof(f5138,plain,
( sdtpldt0(sdtasdt0(sz0z00,xu),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,xu))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_284 ),
inference(forward_demodulation,[],[f5126,f637]) ).
fof(f5126,plain,
( sdtpldt0(sdtasdt0(sz0z00,xu),sdtasdt0(sz0z00,xx)) = sdtasdt0(sz0z00,sdtpldt0(xx,xu))
| ~ spl2_6
| ~ spl2_284 ),
inference(resolution,[],[f4553,f104]) ).
fof(f9406,plain,
( spl2_582
| ~ spl2_52
| ~ spl2_85
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1516,f990,f889,f510,f9404]) ).
fof(f1516,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_52
| ~ spl2_85
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1484,f1458]) ).
fof(f1458,plain,
( sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_52
| ~ spl2_91 ),
inference(resolution,[],[f991,f511]) ).
fof(f1484,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_85
| ~ spl2_91 ),
inference(resolution,[],[f991,f890]) ).
fof(f9402,plain,
( spl2_581
| ~ spl2_50
| ~ spl2_78
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1515,f990,f775,f429,f9400]) ).
fof(f9400,plain,
( spl2_581
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_581])]) ).
fof(f1515,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_50
| ~ spl2_78
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1479,f1457]) ).
fof(f1479,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_78
| ~ spl2_91 ),
inference(resolution,[],[f991,f776]) ).
fof(f9398,plain,
( spl2_580
| ~ spl2_49
| ~ spl2_77
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1514,f990,f771,f425,f9396]) ).
fof(f9396,plain,
( spl2_580
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_580])]) ).
fof(f1514,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_49
| ~ spl2_77
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1478,f1456]) ).
fof(f1478,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_77
| ~ spl2_91 ),
inference(resolution,[],[f991,f772]) ).
fof(f9394,plain,
( spl2_579
| ~ spl2_47
| ~ spl2_76
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1513,f990,f767,f416,f9392]) ).
fof(f9392,plain,
( spl2_579
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_579])]) ).
fof(f1513,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_47
| ~ spl2_76
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1477,f1455]) ).
fof(f1477,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_76
| ~ spl2_91 ),
inference(resolution,[],[f991,f768]) ).
fof(f9390,plain,
( spl2_578
| ~ spl2_46
| ~ spl2_75
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1512,f990,f763,f412,f9388]) ).
fof(f9388,plain,
( spl2_578
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_578])]) ).
fof(f1512,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_46
| ~ spl2_75
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1476,f1454]) ).
fof(f1476,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_75
| ~ spl2_91 ),
inference(resolution,[],[f991,f764]) ).
fof(f9386,plain,
( spl2_577
| ~ spl2_45
| ~ spl2_74
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1511,f990,f759,f408,f9384]) ).
fof(f1511,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_45
| ~ spl2_74
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1475,f1453]) ).
fof(f1475,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_74
| ~ spl2_91 ),
inference(resolution,[],[f991,f760]) ).
fof(f9382,plain,
( spl2_576
| ~ spl2_44
| ~ spl2_73
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1510,f990,f755,f404,f9380]) ).
fof(f1510,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_44
| ~ spl2_73
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1474,f1452]) ).
fof(f1474,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_73
| ~ spl2_91 ),
inference(resolution,[],[f991,f756]) ).
fof(f9378,plain,
( spl2_575
| ~ spl2_43
| ~ spl2_72
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1509,f990,f751,f400,f9376]) ).
fof(f1509,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_43
| ~ spl2_72
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1473,f1451]) ).
fof(f1473,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_72
| ~ spl2_91 ),
inference(resolution,[],[f991,f752]) ).
fof(f9374,plain,
( spl2_574
| ~ spl2_42
| ~ spl2_71
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1508,f990,f747,f396,f9372]) ).
fof(f1508,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_42
| ~ spl2_71
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1472,f1450]) ).
fof(f1472,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_71
| ~ spl2_91 ),
inference(resolution,[],[f991,f748]) ).
fof(f9370,plain,
( spl2_573
| ~ spl2_84
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1483,f990,f885,f9368]) ).
fof(f9368,plain,
( spl2_573
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_573])]) ).
fof(f1483,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_84
| ~ spl2_91 ),
inference(resolution,[],[f991,f886]) ).
fof(f9366,plain,
( spl2_572
| ~ spl2_6
| ~ spl2_66
| ~ spl2_94
| ~ spl2_115
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f5112,f4548,f1224,f1015,f635,f102,f9363]) ).
fof(f9363,plain,
( spl2_572
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_572])]) ).
fof(f5112,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,xy))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_94
| ~ spl2_115
| ~ spl2_283 ),
inference(forward_demodulation,[],[f5111,f1226]) ).
fof(f5111,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,xy))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_94
| ~ spl2_283 ),
inference(forward_demodulation,[],[f5110,f1017]) ).
fof(f5110,plain,
( sdtpldt0(sdtasdt0(sz0z00,xy),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,xy))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_283 ),
inference(forward_demodulation,[],[f5098,f637]) ).
fof(f5098,plain,
( sdtpldt0(sdtasdt0(sz0z00,xy),sdtasdt0(sz0z00,xx)) = sdtasdt0(sz0z00,sdtpldt0(xx,xy))
| ~ spl2_6
| ~ spl2_283 ),
inference(resolution,[],[f4549,f104]) ).
fof(f9361,plain,
( spl2_571
| ~ spl2_83
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1482,f990,f881,f9359]) ).
fof(f9359,plain,
( spl2_571
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_571])]) ).
fof(f1482,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_83
| ~ spl2_91 ),
inference(resolution,[],[f991,f882]) ).
fof(f9357,plain,
( spl2_570
| ~ spl2_81
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1481,f990,f872,f9355]) ).
fof(f9355,plain,
( spl2_570
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_570])]) ).
fof(f1481,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_81
| ~ spl2_91 ),
inference(resolution,[],[f991,f873]) ).
fof(f9353,plain,
( spl2_569
| ~ spl2_80
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1480,f990,f868,f9351]) ).
fof(f9351,plain,
( spl2_569
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_569])]) ).
fof(f1480,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_80
| ~ spl2_91 ),
inference(resolution,[],[f991,f869]) ).
fof(f9349,plain,
( spl2_568
| ~ spl2_34
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1447,f990,f268,f9347]) ).
fof(f9347,plain,
( spl2_568
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_568])]) ).
fof(f1447,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_34
| ~ spl2_91 ),
inference(resolution,[],[f991,f269]) ).
fof(f9345,plain,
( spl2_567
| ~ spl2_33
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1446,f990,f264,f9343]) ).
fof(f9343,plain,
( spl2_567
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_567])]) ).
fof(f1446,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_33
| ~ spl2_91 ),
inference(resolution,[],[f991,f265]) ).
fof(f9305,plain,
( spl2_566
| ~ spl2_18
| ~ spl2_127
| ~ spl2_565 ),
inference(avatar_split_clause,[],[f9301,f9298,f1611,f160,f9303]) ).
fof(f9298,plain,
( spl2_565
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_565])]) ).
fof(f9301,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_18
| ~ spl2_127
| ~ spl2_565 ),
inference(forward_demodulation,[],[f9299,f1623]) ).
fof(f9299,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_565 ),
inference(avatar_component_clause,[],[f9298]) ).
fof(f9300,plain,
( spl2_565
| ~ spl2_53
| ~ spl2_86
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1366,f986,f893,f514,f9298]) ).
fof(f1366,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_53
| ~ spl2_86
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1334,f1308]) ).
fof(f1334,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_86
| ~ spl2_90 ),
inference(resolution,[],[f987,f894]) ).
fof(f9271,plain,
( spl2_564
| ~ spl2_16
| ~ spl2_127
| ~ spl2_563 ),
inference(avatar_split_clause,[],[f9265,f9262,f1611,f152,f9269]) ).
fof(f9269,plain,
( spl2_564
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_564])]) ).
fof(f9262,plain,
( spl2_563
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_563])]) ).
fof(f9265,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_16
| ~ spl2_127
| ~ spl2_563 ),
inference(forward_demodulation,[],[f9263,f1621]) ).
fof(f9263,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_563 ),
inference(avatar_component_clause,[],[f9262]) ).
fof(f9264,plain,
( spl2_563
| ~ spl2_52
| ~ spl2_85
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1365,f986,f889,f510,f9262]) ).
fof(f1365,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00)) = sdtasdt0(X0,sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_52
| ~ spl2_85
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1333,f1307]) ).
fof(f1307,plain,
( sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_52
| ~ spl2_90 ),
inference(resolution,[],[f987,f511]) ).
fof(f1333,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_85
| ~ spl2_90 ),
inference(resolution,[],[f987,f890]) ).
fof(f9260,plain,
( spl2_562
| ~ spl2_50
| ~ spl2_78
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1364,f986,f775,f429,f9258]) ).
fof(f9258,plain,
( spl2_562
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_562])]) ).
fof(f1364,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_50
| ~ spl2_78
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1328,f1306]) ).
fof(f1328,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_78
| ~ spl2_90 ),
inference(resolution,[],[f987,f776]) ).
fof(f9256,plain,
( spl2_561
| ~ spl2_49
| ~ spl2_77
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1363,f986,f771,f425,f9254]) ).
fof(f9254,plain,
( spl2_561
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_561])]) ).
fof(f1363,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_49
| ~ spl2_77
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1327,f1305]) ).
fof(f1327,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_77
| ~ spl2_90 ),
inference(resolution,[],[f987,f772]) ).
fof(f9251,plain,
( spl2_560
| ~ spl2_47
| ~ spl2_76
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1362,f986,f767,f416,f9249]) ).
fof(f1362,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_47
| ~ spl2_76
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1326,f1304]) ).
fof(f1326,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_76
| ~ spl2_90 ),
inference(resolution,[],[f987,f768]) ).
fof(f9247,plain,
( spl2_559
| ~ spl2_46
| ~ spl2_75
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1361,f986,f763,f412,f9245]) ).
fof(f9245,plain,
( spl2_559
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_559])]) ).
fof(f1361,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_46
| ~ spl2_75
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1325,f1303]) ).
fof(f1325,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_75
| ~ spl2_90 ),
inference(resolution,[],[f987,f764]) ).
fof(f9243,plain,
( spl2_558
| ~ spl2_45
| ~ spl2_74
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1360,f986,f759,f408,f9241]) ).
fof(f1360,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xv)) = sdtasdt0(X0,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_45
| ~ spl2_74
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1324,f1302]) ).
fof(f1324,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_74
| ~ spl2_90 ),
inference(resolution,[],[f987,f760]) ).
fof(f9239,plain,
( spl2_557
| ~ spl2_44
| ~ spl2_73
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1359,f986,f755,f404,f9237]) ).
fof(f1359,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_44
| ~ spl2_73
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1323,f1301]) ).
fof(f1323,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_73
| ~ spl2_90 ),
inference(resolution,[],[f987,f756]) ).
fof(f9235,plain,
( spl2_556
| ~ spl2_43
| ~ spl2_72
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1358,f986,f751,f400,f9233]) ).
fof(f1358,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_43
| ~ spl2_72
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1322,f1300]) ).
fof(f1322,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_72
| ~ spl2_90 ),
inference(resolution,[],[f987,f752]) ).
fof(f9231,plain,
( spl2_555
| ~ spl2_42
| ~ spl2_71
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1357,f986,f747,f396,f9229]) ).
fof(f1357,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_42
| ~ spl2_71
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1321,f1299]) ).
fof(f1321,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_71
| ~ spl2_90 ),
inference(resolution,[],[f987,f748]) ).
fof(f9227,plain,
( spl2_554
| ~ spl2_84
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1332,f986,f885,f9225]) ).
fof(f9225,plain,
( spl2_554
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_554])]) ).
fof(f1332,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_84
| ~ spl2_90 ),
inference(resolution,[],[f987,f886]) ).
fof(f9223,plain,
( spl2_553
| ~ spl2_6
| ~ spl2_66
| ~ spl2_115
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f5085,f4544,f1224,f635,f102,f9220]) ).
fof(f9220,plain,
( spl2_553
<=> sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_553])]) ).
fof(f5085,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtpldt0(xx,xx))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_115
| ~ spl2_282 ),
inference(forward_demodulation,[],[f5084,f1226]) ).
fof(f5084,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sz0z00,sdtpldt0(xx,xx))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_282 ),
inference(forward_demodulation,[],[f5072,f637]) ).
fof(f5072,plain,
( sdtasdt0(sz0z00,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(sz0z00,xx),sdtasdt0(sz0z00,xx))
| ~ spl2_6
| ~ spl2_282 ),
inference(resolution,[],[f4545,f104]) ).
fof(f9218,plain,
( spl2_552
| ~ spl2_83
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1331,f986,f881,f9216]) ).
fof(f9216,plain,
( spl2_552
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_552])]) ).
fof(f1331,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_83
| ~ spl2_90 ),
inference(resolution,[],[f987,f882]) ).
fof(f9214,plain,
( spl2_551
| ~ spl2_81
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1330,f986,f872,f9212]) ).
fof(f9212,plain,
( spl2_551
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_551])]) ).
fof(f1330,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_81
| ~ spl2_90 ),
inference(resolution,[],[f987,f873]) ).
fof(f9210,plain,
( spl2_550
| ~ spl2_80
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1329,f986,f868,f9208]) ).
fof(f9208,plain,
( spl2_550
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_550])]) ).
fof(f1329,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_80
| ~ spl2_90 ),
inference(resolution,[],[f987,f869]) ).
fof(f9206,plain,
( spl2_549
| ~ spl2_34
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1296,f986,f268,f9204]) ).
fof(f9204,plain,
( spl2_549
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_549])]) ).
fof(f1296,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_34
| ~ spl2_90 ),
inference(resolution,[],[f987,f269]) ).
fof(f9202,plain,
( spl2_548
| ~ spl2_33
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1295,f986,f264,f9200]) ).
fof(f9200,plain,
( spl2_548
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_548])]) ).
fof(f1295,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_33
| ~ spl2_90 ),
inference(resolution,[],[f987,f265]) ).
fof(f9198,plain,
( spl2_547
| ~ spl2_4
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1108,f1090,f92,f9196]) ).
fof(f9196,plain,
( spl2_547
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xv))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xv)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_547])]) ).
fof(f1108,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xv))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xv)))
| ~ aScalar0(X2) )
| ~ spl2_4
| ~ spl2_102 ),
inference(resolution,[],[f1091,f94]) ).
fof(f9194,plain,
( spl2_546
| ~ spl2_3
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1107,f1090,f87,f9192]) ).
fof(f9192,plain,
( spl2_546
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xu))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xu)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_546])]) ).
fof(f1107,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xu))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xu)))
| ~ aScalar0(X2) )
| ~ spl2_3
| ~ spl2_102 ),
inference(resolution,[],[f1091,f89]) ).
fof(f9190,plain,
( spl2_545
| ~ spl2_2
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1106,f1090,f82,f9188]) ).
fof(f9188,plain,
( spl2_545
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xy))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xy)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_545])]) ).
fof(f1106,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xy))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xy)))
| ~ aScalar0(X2) )
| ~ spl2_2
| ~ spl2_102 ),
inference(resolution,[],[f1091,f84]) ).
fof(f9186,plain,
( spl2_544
| ~ spl2_1
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f1105,f1090,f77,f9184]) ).
fof(f9184,plain,
( spl2_544
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xx)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_544])]) ).
fof(f1105,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xx)))
| ~ aScalar0(X2) )
| ~ spl2_1
| ~ spl2_102 ),
inference(resolution,[],[f1091,f79]) ).
fof(f9182,plain,
( spl2_543
| ~ spl2_4
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1100,f1086,f92,f9180]) ).
fof(f9180,plain,
( spl2_543
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xv))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xv)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_543])]) ).
fof(f1100,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xv))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xv)))
| ~ aScalar0(X2) )
| ~ spl2_4
| ~ spl2_101 ),
inference(resolution,[],[f1087,f94]) ).
fof(f9176,plain,
( spl2_542
| ~ spl2_3
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1099,f1086,f87,f9174]) ).
fof(f9174,plain,
( spl2_542
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xu))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xu)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_542])]) ).
fof(f1099,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xu))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xu)))
| ~ aScalar0(X2) )
| ~ spl2_3
| ~ spl2_101 ),
inference(resolution,[],[f1087,f89]) ).
fof(f9172,plain,
( spl2_541
| ~ spl2_2
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1098,f1086,f82,f9170]) ).
fof(f9170,plain,
( spl2_541
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xy))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xy)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_541])]) ).
fof(f1098,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xy))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xy)))
| ~ aScalar0(X2) )
| ~ spl2_2
| ~ spl2_101 ),
inference(resolution,[],[f1087,f84]) ).
fof(f9168,plain,
( spl2_540
| ~ spl2_1
| ~ spl2_101 ),
inference(avatar_split_clause,[],[f1097,f1086,f77,f9166]) ).
fof(f9166,plain,
( spl2_540
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xx)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_540])]) ).
fof(f1097,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xx)))
| ~ aScalar0(X2) )
| ~ spl2_1
| ~ spl2_101 ),
inference(resolution,[],[f1087,f79]) ).
fof(f9164,plain,
( spl2_539
| ~ spl2_24
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f860,f775,f185,f9162]) ).
fof(f9162,plain,
( spl2_539
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(sdtasdt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_539])]) ).
fof(f860,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(sdtasdt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_78 ),
inference(resolution,[],[f776,f186]) ).
fof(f9160,plain,
( spl2_538
| ~ spl2_25
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f859,f775,f189,f9158]) ).
fof(f9158,plain,
( spl2_538
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(sdtpldt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_538])]) ).
fof(f859,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(sdtpldt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_78 ),
inference(resolution,[],[f776,f190]) ).
fof(f9156,plain,
( spl2_537
| ~ spl2_24
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f850,f771,f185,f9154]) ).
fof(f9154,plain,
( spl2_537
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(sdtasdt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_537])]) ).
fof(f850,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(sdtasdt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_77 ),
inference(resolution,[],[f772,f186]) ).
fof(f9152,plain,
( spl2_536
| ~ spl2_25
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f849,f771,f189,f9150]) ).
fof(f9150,plain,
( spl2_536
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(sdtpldt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_536])]) ).
fof(f849,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(sdtpldt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_77 ),
inference(resolution,[],[f772,f190]) ).
fof(f9148,plain,
( spl2_535
| ~ spl2_24
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f839,f767,f185,f9146]) ).
fof(f9146,plain,
( spl2_535
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(sdtasdt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_535])]) ).
fof(f839,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(sdtasdt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_76 ),
inference(resolution,[],[f768,f186]) ).
fof(f9144,plain,
( spl2_534
| ~ spl2_25
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f838,f767,f189,f9142]) ).
fof(f9142,plain,
( spl2_534
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(sdtpldt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_534])]) ).
fof(f838,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(sdtpldt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_76 ),
inference(resolution,[],[f768,f190]) ).
fof(f9140,plain,
( spl2_533
| ~ spl2_24
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f827,f763,f185,f9138]) ).
fof(f9138,plain,
( spl2_533
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtasdt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_533])]) ).
fof(f827,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtasdt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_75 ),
inference(resolution,[],[f764,f186]) ).
fof(f9134,plain,
( spl2_532
| ~ spl2_25
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f826,f763,f189,f9132]) ).
fof(f9132,plain,
( spl2_532
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtpldt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_532])]) ).
fof(f826,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtpldt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_75 ),
inference(resolution,[],[f764,f190]) ).
fof(f9130,plain,
( spl2_531
| ~ spl2_24
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f818,f759,f185,f9128]) ).
fof(f9128,plain,
( spl2_531
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xv)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_531])]) ).
fof(f818,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xv)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_74 ),
inference(resolution,[],[f760,f186]) ).
fof(f9126,plain,
( spl2_530
| ~ spl2_25
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f817,f759,f189,f9124]) ).
fof(f9124,plain,
( spl2_530
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xv)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_530])]) ).
fof(f817,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xv)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_74 ),
inference(resolution,[],[f760,f190]) ).
fof(f9122,plain,
( spl2_529
| ~ spl2_24
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f808,f755,f185,f9120]) ).
fof(f9120,plain,
( spl2_529
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xu)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_529])]) ).
fof(f808,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xu)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_73 ),
inference(resolution,[],[f756,f186]) ).
fof(f9118,plain,
( spl2_528
| ~ spl2_25
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f807,f755,f189,f9116]) ).
fof(f9116,plain,
( spl2_528
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xu)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_528])]) ).
fof(f807,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xu)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_73 ),
inference(resolution,[],[f756,f190]) ).
fof(f9114,plain,
( spl2_527
| ~ spl2_24
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f797,f751,f185,f9112]) ).
fof(f9112,plain,
( spl2_527
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xy)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_527])]) ).
fof(f797,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xy)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_72 ),
inference(resolution,[],[f752,f186]) ).
fof(f9110,plain,
( spl2_526
| ~ spl2_25
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f796,f751,f189,f9108]) ).
fof(f9108,plain,
( spl2_526
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xy)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_526])]) ).
fof(f796,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xy)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_72 ),
inference(resolution,[],[f752,f190]) ).
fof(f9106,plain,
( spl2_525
| ~ spl2_24
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f785,f747,f185,f9104]) ).
fof(f9104,plain,
( spl2_525
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xx)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_525])]) ).
fof(f785,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xx)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_71 ),
inference(resolution,[],[f748,f186]) ).
fof(f9102,plain,
( spl2_524
| ~ spl2_25
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f784,f747,f189,f9100]) ).
fof(f9100,plain,
( spl2_524
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xx)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_524])]) ).
fof(f784,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xx)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_71 ),
inference(resolution,[],[f748,f190]) ).
fof(f8916,plain,
( spl2_523
| ~ spl2_6
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1072,f1045,f102,f8914]) ).
fof(f8914,plain,
( spl2_523
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_523])]) ).
fof(f1072,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl2_6
| ~ spl2_99 ),
inference(resolution,[],[f1046,f104]) ).
fof(f8910,plain,
( spl2_522
| ~ spl2_6
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1064,f1041,f102,f8908]) ).
fof(f8908,plain,
( spl2_522
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_522])]) ).
fof(f1064,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl2_6
| ~ spl2_98 ),
inference(resolution,[],[f1042,f104]) ).
fof(f8906,plain,
( spl2_521
| ~ spl2_6
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1056,f1037,f102,f8904]) ).
fof(f8904,plain,
( spl2_521
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_521])]) ).
fof(f1056,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz0z00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl2_6
| ~ spl2_97 ),
inference(resolution,[],[f1038,f104]) ).
fof(f8902,plain,
( spl2_520
| ~ spl2_6
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1048,f1033,f102,f8900]) ).
fof(f8900,plain,
( spl2_520
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_520])]) ).
fof(f1048,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz0z00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz0z00)))
| ~ aScalar0(X2) )
| ~ spl2_6
| ~ spl2_96 ),
inference(resolution,[],[f1034,f104]) ).
fof(f8898,plain,
( spl2_519
| ~ spl2_9
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f979,f964,f120,f8896]) ).
fof(f8896,plain,
( spl2_519
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(smndt0(X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_519])]) ).
fof(f979,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(smndt0(X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_89 ),
inference(resolution,[],[f965,f121]) ).
fof(f8894,plain,
( spl2_518
| ~ spl2_9
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f970,f960,f120,f8892]) ).
fof(f8892,plain,
( spl2_518
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_518])]) ).
fof(f970,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(smndt0(X2))))
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_88 ),
inference(resolution,[],[f961,f121]) ).
fof(f8890,plain,
( spl2_517
| ~ spl2_24
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f723,f705,f185,f8888]) ).
fof(f8888,plain,
( spl2_517
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_517])]) ).
fof(f723,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_68 ),
inference(resolution,[],[f706,f186]) ).
fof(f8886,plain,
( spl2_516
| ~ spl2_25
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f722,f705,f189,f8884]) ).
fof(f8884,plain,
( spl2_516
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_516])]) ).
fof(f722,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_68 ),
inference(resolution,[],[f706,f190]) ).
fof(f8882,plain,
( spl2_515
| ~ spl2_24
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f710,f701,f185,f8880]) ).
fof(f8880,plain,
( spl2_515
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_515])]) ).
fof(f710,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_67 ),
inference(resolution,[],[f702,f186]) ).
fof(f8878,plain,
( spl2_514
| ~ spl2_25
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f709,f701,f189,f8876]) ).
fof(f8876,plain,
( spl2_514
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_514])]) ).
fof(f709,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_67 ),
inference(resolution,[],[f702,f190]) ).
fof(f8659,plain,
( spl2_513
| ~ spl2_364
| ~ spl2_494 ),
inference(avatar_split_clause,[],[f7941,f7938,f6270,f8657]) ).
fof(f8657,plain,
( spl2_513
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_513])]) ).
fof(f7938,plain,
( spl2_494
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_494])]) ).
fof(f7941,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_364
| ~ spl2_494 ),
inference(forward_demodulation,[],[f7939,f6272]) ).
fof(f7939,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_494 ),
inference(avatar_component_clause,[],[f7938]) ).
fof(f8066,plain,
( spl2_512
| ~ spl2_32
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1520,f994,f252,f8064]) ).
fof(f8064,plain,
( spl2_512
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_512])]) ).
fof(f1520,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),X0) )
| ~ spl2_32
| ~ spl2_92 ),
inference(resolution,[],[f996,f253]) ).
fof(f8062,plain,
( spl2_511
| ~ spl2_30
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1519,f994,f216,f8060]) ).
fof(f8060,plain,
( spl2_511
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_511])]) ).
fof(f1519,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),X0) )
| ~ spl2_30
| ~ spl2_92 ),
inference(resolution,[],[f996,f217]) ).
fof(f8036,plain,
( spl2_510
| ~ spl2_18
| ~ spl2_128
| ~ spl2_509 ),
inference(avatar_split_clause,[],[f8032,f8029,f1616,f160,f8034]) ).
fof(f8029,plain,
( spl2_509
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_509])]) ).
fof(f8032,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_18
| ~ spl2_128
| ~ spl2_509 ),
inference(forward_demodulation,[],[f8030,f1630]) ).
fof(f8030,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_509 ),
inference(avatar_component_clause,[],[f8029]) ).
fof(f8031,plain,
( spl2_509
| ~ spl2_53
| ~ spl2_68
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1507,f990,f705,f514,f8029]) ).
fof(f1507,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_53
| ~ spl2_68
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1471,f1459]) ).
fof(f1471,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_68
| ~ spl2_91 ),
inference(resolution,[],[f991,f706]) ).
fof(f8026,plain,
( spl2_508
| ~ spl2_52
| ~ spl2_67
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1506,f990,f701,f510,f8024]) ).
fof(f8024,plain,
( spl2_508
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_508])]) ).
fof(f1506,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_52
| ~ spl2_67
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1470,f1458]) ).
fof(f1470,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_67
| ~ spl2_91 ),
inference(resolution,[],[f991,f702]) ).
fof(f8022,plain,
( spl2_507
| ~ spl2_50
| ~ spl2_65
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1505,f990,f608,f429,f8020]) ).
fof(f1505,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_50
| ~ spl2_65
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1469,f1457]) ).
fof(f1469,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_65
| ~ spl2_91 ),
inference(resolution,[],[f991,f609]) ).
fof(f8018,plain,
( spl2_506
| ~ spl2_49
| ~ spl2_64
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1504,f990,f604,f425,f8016]) ).
fof(f1504,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_49
| ~ spl2_64
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1468,f1456]) ).
fof(f1468,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_64
| ~ spl2_91 ),
inference(resolution,[],[f991,f605]) ).
fof(f8014,plain,
( spl2_505
| ~ spl2_47
| ~ spl2_63
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1503,f990,f600,f416,f8012]) ).
fof(f1503,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_47
| ~ spl2_63
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1467,f1455]) ).
fof(f1467,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_63
| ~ spl2_91 ),
inference(resolution,[],[f991,f601]) ).
fof(f8010,plain,
( spl2_504
| ~ spl2_46
| ~ spl2_62
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1502,f990,f596,f412,f8008]) ).
fof(f1502,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_46
| ~ spl2_62
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1466,f1454]) ).
fof(f1466,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_62
| ~ spl2_91 ),
inference(resolution,[],[f991,f597]) ).
fof(f8004,plain,
( spl2_503
| ~ spl2_45
| ~ spl2_61
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1501,f990,f592,f408,f8002]) ).
fof(f8002,plain,
( spl2_503
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_503])]) ).
fof(f1501,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_45
| ~ spl2_61
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1465,f1453]) ).
fof(f1465,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_61
| ~ spl2_91 ),
inference(resolution,[],[f991,f593]) ).
fof(f8000,plain,
( spl2_502
| ~ spl2_44
| ~ spl2_60
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1500,f990,f588,f404,f7998]) ).
fof(f7998,plain,
( spl2_502
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_502])]) ).
fof(f1500,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_44
| ~ spl2_60
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1464,f1452]) ).
fof(f1464,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_60
| ~ spl2_91 ),
inference(resolution,[],[f991,f589]) ).
fof(f7996,plain,
( spl2_501
| ~ spl2_43
| ~ spl2_59
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1499,f990,f584,f400,f7994]) ).
fof(f7994,plain,
( spl2_501
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_501])]) ).
fof(f1499,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_43
| ~ spl2_59
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1463,f1451]) ).
fof(f1463,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_59
| ~ spl2_91 ),
inference(resolution,[],[f991,f585]) ).
fof(f7992,plain,
( spl2_500
| ~ spl2_42
| ~ spl2_58
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1498,f990,f580,f396,f7990]) ).
fof(f7990,plain,
( spl2_500
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_500])]) ).
fof(f1498,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_42
| ~ spl2_58
| ~ spl2_91 ),
inference(forward_demodulation,[],[f1462,f1450]) ).
fof(f1462,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_58
| ~ spl2_91 ),
inference(resolution,[],[f991,f581]) ).
fof(f7965,plain,
( spl2_499
| ~ spl2_18
| ~ spl2_127
| ~ spl2_498 ),
inference(avatar_split_clause,[],[f7961,f7958,f1611,f160,f7963]) ).
fof(f7958,plain,
( spl2_498
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_498])]) ).
fof(f7961,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_18
| ~ spl2_127
| ~ spl2_498 ),
inference(forward_demodulation,[],[f7959,f1623]) ).
fof(f7959,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_498 ),
inference(avatar_component_clause,[],[f7958]) ).
fof(f7960,plain,
( spl2_498
| ~ spl2_53
| ~ spl2_68
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1356,f986,f705,f514,f7958]) ).
fof(f1356,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_53
| ~ spl2_68
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1320,f1308]) ).
fof(f1320,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_68
| ~ spl2_90 ),
inference(resolution,[],[f987,f706]) ).
fof(f7955,plain,
( spl2_497
| ~ spl2_52
| ~ spl2_67
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1355,f986,f701,f510,f7953]) ).
fof(f7953,plain,
( spl2_497
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_497])]) ).
fof(f1355,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_52
| ~ spl2_67
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1319,f1307]) ).
fof(f1319,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),sz0z00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_67
| ~ spl2_90 ),
inference(resolution,[],[f987,f702]) ).
fof(f7951,plain,
( spl2_496
| ~ spl2_50
| ~ spl2_65
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1354,f986,f608,f429,f7949]) ).
fof(f1354,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_50
| ~ spl2_65
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1318,f1306]) ).
fof(f1318,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_65
| ~ spl2_90 ),
inference(resolution,[],[f987,f609]) ).
fof(f7947,plain,
( spl2_495
| ~ spl2_49
| ~ spl2_64
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1353,f986,f604,f425,f7945]) ).
fof(f1353,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_49
| ~ spl2_64
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1317,f1305]) ).
fof(f1317,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_64
| ~ spl2_90 ),
inference(resolution,[],[f987,f605]) ).
fof(f7940,plain,
( spl2_494
| ~ spl2_47
| ~ spl2_63
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1352,f986,f600,f416,f7938]) ).
fof(f1352,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_47
| ~ spl2_63
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1316,f1304]) ).
fof(f1316,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_63
| ~ spl2_90 ),
inference(resolution,[],[f987,f601]) ).
fof(f7936,plain,
( spl2_493
| ~ spl2_46
| ~ spl2_62
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1351,f986,f596,f412,f7934]) ).
fof(f1351,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_46
| ~ spl2_62
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1315,f1303]) ).
fof(f1315,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtasdt0(X0,sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_62
| ~ spl2_90 ),
inference(resolution,[],[f987,f597]) ).
fof(f7932,plain,
( spl2_492
| ~ spl2_45
| ~ spl2_61
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1350,f986,f592,f408,f7930]) ).
fof(f7930,plain,
( spl2_492
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_492])]) ).
fof(f1350,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_45
| ~ spl2_61
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1314,f1302]) ).
fof(f1314,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xv) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv))
| ~ aScalar0(X0) )
| ~ spl2_61
| ~ spl2_90 ),
inference(resolution,[],[f987,f593]) ).
fof(f7928,plain,
( spl2_491
| ~ spl2_44
| ~ spl2_60
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1349,f986,f588,f404,f7926]) ).
fof(f7926,plain,
( spl2_491
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_491])]) ).
fof(f1349,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_44
| ~ spl2_60
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1313,f1301]) ).
fof(f1313,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xu) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu))
| ~ aScalar0(X0) )
| ~ spl2_60
| ~ spl2_90 ),
inference(resolution,[],[f987,f589]) ).
fof(f7924,plain,
( spl2_490
| ~ spl2_43
| ~ spl2_59
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1348,f986,f584,f400,f7922]) ).
fof(f7922,plain,
( spl2_490
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_490])]) ).
fof(f1348,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_43
| ~ spl2_59
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1312,f1300]) ).
fof(f1312,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xy) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy))
| ~ aScalar0(X0) )
| ~ spl2_59
| ~ spl2_90 ),
inference(resolution,[],[f987,f585]) ).
fof(f7920,plain,
( spl2_489
| ~ spl2_42
| ~ spl2_58
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1347,f986,f580,f396,f7918]) ).
fof(f7918,plain,
( spl2_489
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_489])]) ).
fof(f1347,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))))
| ~ aScalar0(X0) )
| ~ spl2_42
| ~ spl2_58
| ~ spl2_90 ),
inference(forward_demodulation,[],[f1311,f1299]) ).
fof(f1311,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))),xx) = sdtpldt0(X0,sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx))
| ~ aScalar0(X0) )
| ~ spl2_58
| ~ spl2_90 ),
inference(resolution,[],[f987,f581]) ).
fof(f7916,plain,
( spl2_488
| ~ spl2_4
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1079,f1045,f92,f7914]) ).
fof(f7914,plain,
( spl2_488
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xv)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xv)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_488])]) ).
fof(f1079,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xv)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xv)))
| ~ aScalar0(X2) )
| ~ spl2_4
| ~ spl2_99 ),
inference(resolution,[],[f1046,f94]) ).
fof(f7912,plain,
( spl2_487
| ~ spl2_3
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1078,f1045,f87,f7910]) ).
fof(f7910,plain,
( spl2_487
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xu)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xu)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_487])]) ).
fof(f1078,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xu)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xu)))
| ~ aScalar0(X2) )
| ~ spl2_3
| ~ spl2_99 ),
inference(resolution,[],[f1046,f89]) ).
fof(f7908,plain,
( spl2_486
| ~ spl2_2
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1077,f1045,f82,f7906]) ).
fof(f7906,plain,
( spl2_486
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xy)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xy)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_486])]) ).
fof(f1077,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xy)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xy)))
| ~ aScalar0(X2) )
| ~ spl2_2
| ~ spl2_99 ),
inference(resolution,[],[f1046,f84]) ).
fof(f7904,plain,
( spl2_485
| ~ spl2_1
| ~ spl2_99 ),
inference(avatar_split_clause,[],[f1076,f1045,f77,f7902]) ).
fof(f7902,plain,
( spl2_485
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xx)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xx)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_485])]) ).
fof(f1076,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xx)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xx)))
| ~ aScalar0(X2) )
| ~ spl2_1
| ~ spl2_99 ),
inference(resolution,[],[f1046,f79]) ).
fof(f7900,plain,
( spl2_484
| ~ spl2_4
| ~ spl2_112
| ~ spl2_115
| ~ spl2_247 ),
inference(avatar_split_clause,[],[f4227,f3016,f1224,f1169,f92,f7897]) ).
fof(f7897,plain,
( spl2_484
<=> sz0z00 = sdtasdt0(sdtpldt0(xv,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_484])]) ).
fof(f4227,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xv,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_115
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4226,f1226]) ).
fof(f4226,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xv,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_247 ),
inference(forward_demodulation,[],[f4200,f1171]) ).
fof(f4200,plain,
( sdtpldt0(sdtasdt0(xv,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xv,xv),sz0z00)
| ~ spl2_4
| ~ spl2_247 ),
inference(resolution,[],[f3017,f94]) ).
fof(f7895,plain,
( spl2_483
| ~ spl2_4
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1071,f1041,f92,f7893]) ).
fof(f7893,plain,
( spl2_483
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xv)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xv)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_483])]) ).
fof(f1071,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xv)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xv)))
| ~ aScalar0(X2) )
| ~ spl2_4
| ~ spl2_98 ),
inference(resolution,[],[f1042,f94]) ).
fof(f7891,plain,
( spl2_482
| ~ spl2_3
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1070,f1041,f87,f7889]) ).
fof(f7889,plain,
( spl2_482
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xu)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xu)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_482])]) ).
fof(f1070,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xu)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xu)))
| ~ aScalar0(X2) )
| ~ spl2_3
| ~ spl2_98 ),
inference(resolution,[],[f1042,f89]) ).
fof(f7887,plain,
( spl2_481
| ~ spl2_2
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1069,f1041,f82,f7885]) ).
fof(f7885,plain,
( spl2_481
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xy)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xy)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_481])]) ).
fof(f1069,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xy)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xy)))
| ~ aScalar0(X2) )
| ~ spl2_2
| ~ spl2_98 ),
inference(resolution,[],[f1042,f84]) ).
fof(f7883,plain,
( spl2_480
| ~ spl2_1
| ~ spl2_98 ),
inference(avatar_split_clause,[],[f1068,f1041,f77,f7881]) ).
fof(f7881,plain,
( spl2_480
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xx)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xx)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_480])]) ).
fof(f1068,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xx)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xx)))
| ~ aScalar0(X2) )
| ~ spl2_1
| ~ spl2_98 ),
inference(resolution,[],[f1042,f79]) ).
fof(f7879,plain,
( spl2_479
| ~ spl2_4
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1063,f1037,f92,f7877]) ).
fof(f7877,plain,
( spl2_479
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xv)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xv)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_479])]) ).
fof(f1063,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xv)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xv)))
| ~ aScalar0(X2) )
| ~ spl2_4
| ~ spl2_97 ),
inference(resolution,[],[f1038,f94]) ).
fof(f7875,plain,
( spl2_478
| ~ spl2_3
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1062,f1037,f87,f7873]) ).
fof(f7873,plain,
( spl2_478
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xu)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xu)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_478])]) ).
fof(f1062,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xu)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xu)))
| ~ aScalar0(X2) )
| ~ spl2_3
| ~ spl2_97 ),
inference(resolution,[],[f1038,f89]) ).
fof(f7871,plain,
( spl2_477
| ~ spl2_2
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1061,f1037,f82,f7869]) ).
fof(f7869,plain,
( spl2_477
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xy)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xy)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_477])]) ).
fof(f1061,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xy)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xy)))
| ~ aScalar0(X2) )
| ~ spl2_2
| ~ spl2_97 ),
inference(resolution,[],[f1038,f84]) ).
fof(f7867,plain,
( spl2_476
| ~ spl2_1
| ~ spl2_97 ),
inference(avatar_split_clause,[],[f1060,f1037,f77,f7865]) ).
fof(f7865,plain,
( spl2_476
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xx)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xx)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_476])]) ).
fof(f1060,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xx)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xx)))
| ~ aScalar0(X2) )
| ~ spl2_1
| ~ spl2_97 ),
inference(resolution,[],[f1038,f79]) ).
fof(f7863,plain,
( spl2_475
| ~ spl2_4
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1055,f1033,f92,f7861]) ).
fof(f7861,plain,
( spl2_475
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xv)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xv)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_475])]) ).
fof(f1055,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xv)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xv)))
| ~ aScalar0(X2) )
| ~ spl2_4
| ~ spl2_96 ),
inference(resolution,[],[f1034,f94]) ).
fof(f7859,plain,
( spl2_474
| ~ spl2_3
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1054,f1033,f87,f7857]) ).
fof(f7857,plain,
( spl2_474
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xu)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xu)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_474])]) ).
fof(f1054,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xu)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xu)))
| ~ aScalar0(X2) )
| ~ spl2_3
| ~ spl2_96 ),
inference(resolution,[],[f1034,f89]) ).
fof(f7855,plain,
( spl2_473
| ~ spl2_3
| ~ spl2_107
| ~ spl2_115
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f4185,f3012,f1224,f1144,f87,f7852]) ).
fof(f7852,plain,
( spl2_473
<=> sz0z00 = sdtasdt0(sdtpldt0(xu,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_473])]) ).
fof(f4185,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xu,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_115
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4184,f1226]) ).
fof(f4184,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xu,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_246 ),
inference(forward_demodulation,[],[f4159,f1146]) ).
fof(f4159,plain,
( sdtpldt0(sdtasdt0(xu,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xu,xu),sz0z00)
| ~ spl2_3
| ~ spl2_246 ),
inference(resolution,[],[f3013,f89]) ).
fof(f7850,plain,
( spl2_472
| ~ spl2_2
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1053,f1033,f82,f7848]) ).
fof(f7848,plain,
( spl2_472
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xy)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xy)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_472])]) ).
fof(f1053,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xy)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xy)))
| ~ aScalar0(X2) )
| ~ spl2_2
| ~ spl2_96 ),
inference(resolution,[],[f1034,f84]) ).
fof(f7846,plain,
( spl2_471
| ~ spl2_1
| ~ spl2_96 ),
inference(avatar_split_clause,[],[f1052,f1033,f77,f7844]) ).
fof(f7844,plain,
( spl2_471
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xx)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xx)))
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_471])]) ).
fof(f1052,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xx)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xx)))
| ~ aScalar0(X2) )
| ~ spl2_1
| ~ spl2_96 ),
inference(resolution,[],[f1034,f79]) ).
fof(f7842,plain,
( spl2_470
| ~ spl2_24
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f693,f608,f185,f7840]) ).
fof(f7840,plain,
( spl2_470
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xv) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_470])]) ).
fof(f693,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xv) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_65 ),
inference(resolution,[],[f609,f186]) ).
fof(f7838,plain,
( spl2_469
| ~ spl2_25
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f692,f608,f189,f7836]) ).
fof(f7836,plain,
( spl2_469
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xv) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_469])]) ).
fof(f692,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xv) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_65 ),
inference(resolution,[],[f609,f190]) ).
fof(f7834,plain,
( spl2_468
| ~ spl2_24
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f683,f604,f185,f7832]) ).
fof(f7832,plain,
( spl2_468
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xu) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_468])]) ).
fof(f683,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xu) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_64 ),
inference(resolution,[],[f605,f186]) ).
fof(f7830,plain,
( spl2_467
| ~ spl2_25
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f682,f604,f189,f7828]) ).
fof(f7828,plain,
( spl2_467
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xu) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_467])]) ).
fof(f682,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xu) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_64 ),
inference(resolution,[],[f605,f190]) ).
fof(f7826,plain,
( spl2_466
| ~ spl2_24
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f672,f600,f185,f7824]) ).
fof(f7824,plain,
( spl2_466
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xy) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_466])]) ).
fof(f672,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xy) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_63 ),
inference(resolution,[],[f601,f186]) ).
fof(f7822,plain,
( spl2_465
| ~ spl2_25
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f671,f600,f189,f7820]) ).
fof(f7820,plain,
( spl2_465
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xy) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_465])]) ).
fof(f671,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xy) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_63 ),
inference(resolution,[],[f601,f190]) ).
fof(f7818,plain,
( spl2_464
| ~ spl2_24
| ~ spl2_62 ),
inference(avatar_split_clause,[],[f660,f596,f185,f7816]) ).
fof(f7816,plain,
( spl2_464
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xx) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_464])]) ).
fof(f660,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xx) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_62 ),
inference(resolution,[],[f597,f186]) ).
fof(f7814,plain,
( spl2_463
| ~ spl2_25
| ~ spl2_62 ),
inference(avatar_split_clause,[],[f659,f596,f189,f7812]) ).
fof(f7812,plain,
( spl2_463
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xx) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_463])]) ).
fof(f659,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xx) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_62 ),
inference(resolution,[],[f597,f190]) ).
fof(f7810,plain,
( spl2_462
| ~ spl2_4
| ~ spl2_112
| ~ spl2_115
| ~ spl2_133
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f4148,f3008,f1655,f1224,f1169,f92,f7807]) ).
fof(f7807,plain,
( spl2_462
<=> sz0z00 = sdtasdt0(sdtpldt0(xy,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_462])]) ).
fof(f4148,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_115
| ~ spl2_133
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4147,f1226]) ).
fof(f4147,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_133
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4146,f1171]) ).
fof(f4146,plain,
( sdtpldt0(sdtasdt0(xv,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_133
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4119,f1657]) ).
fof(f4119,plain,
( sdtpldt0(sdtasdt0(xv,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xv,xy),sz0z00)
| ~ spl2_4
| ~ spl2_245 ),
inference(resolution,[],[f3009,f94]) ).
fof(f7805,plain,
( spl2_461
| ~ spl2_24
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f651,f592,f185,f7803]) ).
fof(f7803,plain,
( spl2_461
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xv) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_461])]) ).
fof(f651,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xv) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_61 ),
inference(resolution,[],[f593,f186]) ).
fof(f7801,plain,
( spl2_460
| ~ spl2_25
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f650,f592,f189,f7799]) ).
fof(f7799,plain,
( spl2_460
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xv) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_460])]) ).
fof(f650,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xv) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_61 ),
inference(resolution,[],[f593,f190]) ).
fof(f7797,plain,
( spl2_459
| ~ spl2_24
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f641,f588,f185,f7795]) ).
fof(f7795,plain,
( spl2_459
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xu) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_459])]) ).
fof(f641,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xu) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_60 ),
inference(resolution,[],[f589,f186]) ).
fof(f7793,plain,
( spl2_458
| ~ spl2_25
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f640,f588,f189,f7791]) ).
fof(f7791,plain,
( spl2_458
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xu) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_458])]) ).
fof(f640,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xu) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_60 ),
inference(resolution,[],[f589,f190]) ).
fof(f7789,plain,
( spl2_457
| ~ spl2_24
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f625,f584,f185,f7787]) ).
fof(f7787,plain,
( spl2_457
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xy) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_457])]) ).
fof(f625,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xy) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_59 ),
inference(resolution,[],[f585,f186]) ).
fof(f7785,plain,
( spl2_456
| ~ spl2_25
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f624,f584,f189,f7783]) ).
fof(f7783,plain,
( spl2_456
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xy) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_456])]) ).
fof(f624,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xy) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_59 ),
inference(resolution,[],[f585,f190]) ).
fof(f7781,plain,
( spl2_455
| ~ spl2_24
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f613,f580,f185,f7779]) ).
fof(f7779,plain,
( spl2_455
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xx) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_455])]) ).
fof(f613,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xx) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_58 ),
inference(resolution,[],[f581,f186]) ).
fof(f7777,plain,
( spl2_454
| ~ spl2_25
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f612,f580,f189,f7775]) ).
fof(f7775,plain,
( spl2_454
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xx) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_454])]) ).
fof(f612,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xx) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_58 ),
inference(resolution,[],[f581,f190]) ).
fof(f7770,plain,
( spl2_453
| ~ spl2_8
| ~ spl2_70 ),
inference(avatar_split_clause,[],[f744,f740,f116,f7768]) ).
fof(f7768,plain,
( spl2_453
<=> ! [X0] :
( sK1(szszuzczcdt0(X0)) = szszuzczcdt0(sK1(sK1(szszuzczcdt0(X0))))
| sz00 = szszuzczcdt0(X0)
| sz00 = sK1(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_453])]) ).
fof(f744,plain,
( ! [X0] :
( sK1(szszuzczcdt0(X0)) = szszuzczcdt0(sK1(sK1(szszuzczcdt0(X0))))
| sz00 = szszuzczcdt0(X0)
| sz00 = sK1(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl2_8
| ~ spl2_70 ),
inference(resolution,[],[f741,f117]) ).
fof(f7766,plain,
( spl2_452
| ~ spl2_3
| ~ spl2_107
| ~ spl2_115
| ~ spl2_132
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f4145,f3008,f1650,f1224,f1144,f87,f7763]) ).
fof(f7763,plain,
( spl2_452
<=> sz0z00 = sdtasdt0(sdtpldt0(xy,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_452])]) ).
fof(f4145,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_115
| ~ spl2_132
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4144,f1226]) ).
fof(f4144,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_132
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4143,f1146]) ).
fof(f4143,plain,
( sdtpldt0(sdtasdt0(xu,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_132
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4118,f1652]) ).
fof(f4118,plain,
( sdtpldt0(sdtasdt0(xu,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xu,xy),sz0z00)
| ~ spl2_3
| ~ spl2_245 ),
inference(resolution,[],[f3009,f89]) ).
fof(f7693,plain,
( spl2_451
| ~ spl2_4
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1030,f1020,f92,f7691]) ).
fof(f7691,plain,
( spl2_451
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xv)) = sdtpldt0(sdtasdt0(X1,smndt0(xv)),sdtasdt0(X0,smndt0(xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_451])]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xv)) = sdtpldt0(sdtasdt0(X1,smndt0(xv)),sdtasdt0(X0,smndt0(xv))) )
| ~ spl2_4
| ~ spl2_95 ),
inference(resolution,[],[f1021,f94]) ).
fof(f7689,plain,
( spl2_450
| ~ spl2_3
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1029,f1020,f87,f7687]) ).
fof(f7687,plain,
( spl2_450
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xu)) = sdtpldt0(sdtasdt0(X1,smndt0(xu)),sdtasdt0(X0,smndt0(xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_450])]) ).
fof(f1029,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xu)) = sdtpldt0(sdtasdt0(X1,smndt0(xu)),sdtasdt0(X0,smndt0(xu))) )
| ~ spl2_3
| ~ spl2_95 ),
inference(resolution,[],[f1021,f89]) ).
fof(f7685,plain,
( spl2_449
| ~ spl2_2
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1028,f1020,f82,f7683]) ).
fof(f7683,plain,
( spl2_449
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xy)) = sdtpldt0(sdtasdt0(X1,smndt0(xy)),sdtasdt0(X0,smndt0(xy))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_449])]) ).
fof(f1028,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xy)) = sdtpldt0(sdtasdt0(X1,smndt0(xy)),sdtasdt0(X0,smndt0(xy))) )
| ~ spl2_2
| ~ spl2_95 ),
inference(resolution,[],[f1021,f84]) ).
fof(f7681,plain,
( spl2_448
| ~ spl2_1
| ~ spl2_95 ),
inference(avatar_split_clause,[],[f1027,f1020,f77,f7679]) ).
fof(f7679,plain,
( spl2_448
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xx)) = sdtpldt0(sdtasdt0(X1,smndt0(xx)),sdtasdt0(X0,smndt0(xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_448])]) ).
fof(f1027,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X1,X0),smndt0(xx)) = sdtpldt0(sdtasdt0(X1,smndt0(xx)),sdtasdt0(X0,smndt0(xx))) )
| ~ spl2_1
| ~ spl2_95 ),
inference(resolution,[],[f1021,f79]) ).
fof(f7633,plain,
( spl2_447
| ~ spl2_2
| ~ spl2_87
| ~ spl2_115
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f4142,f3008,f1224,f955,f82,f7630]) ).
fof(f7630,plain,
( spl2_447
<=> sz0z00 = sdtasdt0(sdtpldt0(xy,xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_447])]) ).
fof(f4142,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xy,xy),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_115
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4141,f1226]) ).
fof(f4141,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xy,xy),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_245 ),
inference(forward_demodulation,[],[f4117,f957]) ).
fof(f4117,plain,
( sdtpldt0(sdtasdt0(xy,sz0z00),sz0z00) = sdtasdt0(sdtpldt0(xy,xy),sz0z00)
| ~ spl2_2
| ~ spl2_245 ),
inference(resolution,[],[f3009,f84]) ).
fof(f7525,plain,
( spl2_446
| ~ spl2_9
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f944,f893,f120,f7523]) ).
fof(f7523,plain,
( spl2_446
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_446])]) ).
fof(f944,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_86 ),
inference(resolution,[],[f894,f121]) ).
fof(f7521,plain,
( spl2_445
| ~ spl2_4
| ~ spl2_112
| ~ spl2_115
| ~ spl2_131
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f4107,f3004,f1645,f1224,f1169,f92,f7518]) ).
fof(f7518,plain,
( spl2_445
<=> sz0z00 = sdtasdt0(sdtpldt0(xx,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_445])]) ).
fof(f4107,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xx,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_115
| ~ spl2_131
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4106,f1226]) ).
fof(f4106,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xx,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_131
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4105,f1647]) ).
fof(f4105,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xv,xx),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4077,f1171]) ).
fof(f4077,plain,
( sdtasdt0(sdtpldt0(xv,xx),sz0z00) = sdtpldt0(sdtasdt0(xv,sz0z00),sz0z00)
| ~ spl2_4
| ~ spl2_244 ),
inference(resolution,[],[f3005,f94]) ).
fof(f7516,plain,
( spl2_444
| ~ spl2_9
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f931,f889,f120,f7514]) ).
fof(f7514,plain,
( spl2_444
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_444])]) ).
fof(f931,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz0z00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_85 ),
inference(resolution,[],[f890,f121]) ).
fof(f7512,plain,
( spl2_443
| ~ spl2_9
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f923,f885,f120,f7510]) ).
fof(f7510,plain,
( spl2_443
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_443])]) ).
fof(f923,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_84 ),
inference(resolution,[],[f886,f121]) ).
fof(f7508,plain,
( spl2_442
| ~ spl2_9
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f915,f881,f120,f7506]) ).
fof(f7506,plain,
( spl2_442
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_442])]) ).
fof(f915,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_83 ),
inference(resolution,[],[f882,f121]) ).
fof(f7504,plain,
( spl2_441
| ~ spl2_9
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f907,f872,f120,f7502]) ).
fof(f7502,plain,
( spl2_441
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_441])]) ).
fof(f907,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_81 ),
inference(resolution,[],[f873,f121]) ).
fof(f7500,plain,
( spl2_440
| ~ spl2_9
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f899,f868,f120,f7498]) ).
fof(f7498,plain,
( spl2_440
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_440])]) ).
fof(f899,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_80 ),
inference(resolution,[],[f869,f121]) ).
fof(f7496,plain,
( spl2_439
| ~ spl2_24
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f567,f550,f185,f7494]) ).
fof(f7494,plain,
( spl2_439
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_439])]) ).
fof(f567,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_56 ),
inference(resolution,[],[f551,f186]) ).
fof(f7492,plain,
( spl2_438
| ~ spl2_25
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f566,f550,f189,f7490]) ).
fof(f7490,plain,
( spl2_438
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_438])]) ).
fof(f566,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_56 ),
inference(resolution,[],[f551,f190]) ).
fof(f7488,plain,
( spl2_437
| ~ spl2_24
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f558,f546,f185,f7486]) ).
fof(f7486,plain,
( spl2_437
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_437])]) ).
fof(f558,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_55 ),
inference(resolution,[],[f547,f186]) ).
fof(f7484,plain,
( spl2_436
| ~ spl2_25
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f557,f546,f189,f7482]) ).
fof(f7482,plain,
( spl2_436
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_436])]) ).
fof(f557,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_55 ),
inference(resolution,[],[f547,f190]) ).
fof(f7480,plain,
( spl2_435
| ~ spl2_23
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f555,f542,f181,f7478]) ).
fof(f7478,plain,
( spl2_435
<=> ! [X0] :
( szszuzczcdt0(sK1(X0)) = szszuzczcdt0(sK1(szszuzczcdt0(sK1(X0))))
| sz00 = szszuzczcdt0(sK1(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_435])]) ).
fof(f542,plain,
( spl2_54
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK1(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).
fof(f555,plain,
( ! [X0] :
( szszuzczcdt0(sK1(X0)) = szszuzczcdt0(sK1(szszuzczcdt0(sK1(X0))))
| sz00 = szszuzczcdt0(sK1(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl2_23
| ~ spl2_54 ),
inference(resolution,[],[f543,f182]) ).
fof(f543,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK1(szszuzczcdt0(X0)))
| sz00 = szszuzczcdt0(X0) )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f7476,plain,
( spl2_434
| ~ spl2_3
| ~ spl2_107
| ~ spl2_115
| ~ spl2_130
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f4104,f3004,f1640,f1224,f1144,f87,f7473]) ).
fof(f7473,plain,
( spl2_434
<=> sz0z00 = sdtasdt0(sdtpldt0(xx,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_434])]) ).
fof(f4104,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xx,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_115
| ~ spl2_130
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4103,f1226]) ).
fof(f4103,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xx,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_130
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4102,f1642]) ).
fof(f4102,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xu,xx),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4076,f1146]) ).
fof(f4076,plain,
( sdtasdt0(sdtpldt0(xu,xx),sz0z00) = sdtpldt0(sdtasdt0(xu,sz0z00),sz0z00)
| ~ spl2_3
| ~ spl2_244 ),
inference(resolution,[],[f3005,f89]) ).
fof(f7428,plain,
( spl2_433
| ~ spl2_2
| ~ spl2_87
| ~ spl2_115
| ~ spl2_129
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f4101,f3004,f1635,f1224,f955,f82,f7425]) ).
fof(f7425,plain,
( spl2_433
<=> sz0z00 = sdtasdt0(sdtpldt0(xx,xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_433])]) ).
fof(f4101,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xx,xy),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_115
| ~ spl2_129
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4100,f1226]) ).
fof(f4100,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xx,xy),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_129
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4099,f1637]) ).
fof(f4099,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xy,xx),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4075,f957]) ).
fof(f4075,plain,
( sdtasdt0(sdtpldt0(xy,xx),sz0z00) = sdtpldt0(sdtasdt0(xy,sz0z00),sz0z00)
| ~ spl2_2
| ~ spl2_244 ),
inference(resolution,[],[f3005,f84]) ).
fof(f7240,plain,
( spl2_432
| ~ spl2_1
| ~ spl2_57
| ~ spl2_115
| ~ spl2_244 ),
inference(avatar_split_clause,[],[f4098,f3004,f1224,f575,f77,f7237]) ).
fof(f7237,plain,
( spl2_432
<=> sz0z00 = sdtasdt0(sdtpldt0(xx,xx),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_432])]) ).
fof(f4098,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xx,xx),sz0z00)
| ~ spl2_1
| ~ spl2_57
| ~ spl2_115
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4097,f1226]) ).
fof(f4097,plain,
( sdtpldt0(sz0z00,sz0z00) = sdtasdt0(sdtpldt0(xx,xx),sz0z00)
| ~ spl2_1
| ~ spl2_57
| ~ spl2_244 ),
inference(forward_demodulation,[],[f4074,f577]) ).
fof(f4074,plain,
( sdtasdt0(sdtpldt0(xx,xx),sz0z00) = sdtpldt0(sdtasdt0(xx,sz0z00),sz0z00)
| ~ spl2_1
| ~ spl2_244 ),
inference(resolution,[],[f3005,f79]) ).
fof(f7146,plain,
( spl2_431
| ~ spl2_53
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1534,f994,f514,f7143]) ).
fof(f7143,plain,
( spl2_431
<=> sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_431])]) ).
fof(f7140,plain,
( spl2_430
| ~ spl2_52
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1533,f994,f510,f7137]) ).
fof(f7137,plain,
( spl2_430
<=> sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_430])]) ).
fof(f7135,plain,
( spl2_429
| ~ spl2_50
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1532,f994,f429,f7132]) ).
fof(f7132,plain,
( spl2_429
<=> sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv) = sdtasdt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_429])]) ).
fof(f7130,plain,
( spl2_428
| ~ spl2_49
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1531,f994,f425,f7127]) ).
fof(f7127,plain,
( spl2_428
<=> sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu) = sdtasdt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_428])]) ).
fof(f7125,plain,
( spl2_427
| ~ spl2_47
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1530,f994,f416,f7122]) ).
fof(f7122,plain,
( spl2_427
<=> sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_427])]) ).
fof(f7120,plain,
( spl2_426
| ~ spl2_46
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1529,f994,f412,f7117]) ).
fof(f7117,plain,
( spl2_426
<=> sdtasdt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx) = sdtasdt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_426])]) ).
fof(f7113,plain,
( spl2_425
| ~ spl2_45
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1528,f994,f408,f7110]) ).
fof(f7110,plain,
( spl2_425
<=> sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xv) = sdtpldt0(xv,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_425])]) ).
fof(f7108,plain,
( spl2_424
| ~ spl2_44
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1527,f994,f404,f7105]) ).
fof(f7105,plain,
( spl2_424
<=> sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xu) = sdtpldt0(xu,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_424])]) ).
fof(f7103,plain,
( spl2_423
| ~ spl2_43
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1526,f994,f400,f7100]) ).
fof(f7100,plain,
( spl2_423
<=> sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xy) = sdtpldt0(xy,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_423])]) ).
fof(f7098,plain,
( spl2_422
| ~ spl2_42
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1525,f994,f396,f7095]) ).
fof(f7095,plain,
( spl2_422
<=> sdtpldt0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)),xx) = sdtpldt0(xx,sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_422])]) ).
fof(f7093,plain,
( spl2_421
| ~ spl2_56
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1461,f990,f550,f7091]) ).
fof(f7091,plain,
( spl2_421
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_421])]) ).
fof(f1461,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtasdt0(smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) )
| ~ spl2_56
| ~ spl2_91 ),
inference(resolution,[],[f991,f551]) ).
fof(f7089,plain,
( spl2_420
| ~ spl2_55
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1460,f990,f546,f7087]) ).
fof(f7087,plain,
( spl2_420
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_420])]) ).
fof(f1460,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xy,sdtpldt0(xu,xv)))) = sdtpldt0(smndt0(sdtasdt0(xy,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) )
| ~ spl2_55
| ~ spl2_91 ),
inference(resolution,[],[f991,f547]) ).
fof(f7085,plain,
( spl2_419
| ~ spl2_56
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1310,f986,f550,f7083]) ).
fof(f7083,plain,
( spl2_419
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_419])]) ).
fof(f1310,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtasdt0(smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) )
| ~ spl2_56
| ~ spl2_90 ),
inference(resolution,[],[f987,f551]) ).
fof(f7081,plain,
( spl2_418
| ~ spl2_55
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1309,f986,f546,f7079]) ).
fof(f7079,plain,
( spl2_418
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_418])]) ).
fof(f1309,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sdtasdt0(xx,sdtpldt0(xu,xv)))) = sdtpldt0(smndt0(sdtasdt0(xx,sdtpldt0(xu,xv))),X0)
| ~ aScalar0(X0) )
| ~ spl2_55
| ~ spl2_90 ),
inference(resolution,[],[f987,f547]) ).
fof(f7077,plain,
( spl2_417
| ~ spl2_4
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1012,f1002,f92,f7075]) ).
fof(f7075,plain,
( spl2_417
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xv))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_417])]) ).
fof(f1012,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xv))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xv))) )
| ~ spl2_4
| ~ spl2_93 ),
inference(resolution,[],[f1003,f94]) ).
fof(f7073,plain,
( spl2_416
| ~ spl2_3
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1011,f1002,f87,f7071]) ).
fof(f7071,plain,
( spl2_416
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xu))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_416])]) ).
fof(f1011,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xu))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xu))) )
| ~ spl2_3
| ~ spl2_93 ),
inference(resolution,[],[f1003,f89]) ).
fof(f7067,plain,
( spl2_415
| ~ spl2_2
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1010,f1002,f82,f7065]) ).
fof(f7065,plain,
( spl2_415
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xy))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xy))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_415])]) ).
fof(f1010,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xy))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xy))) )
| ~ spl2_2
| ~ spl2_93 ),
inference(resolution,[],[f1003,f84]) ).
fof(f7063,plain,
( spl2_414
| ~ spl2_1
| ~ spl2_93 ),
inference(avatar_split_clause,[],[f1009,f1002,f77,f7061]) ).
fof(f7061,plain,
( spl2_414
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_414])]) ).
fof(f1009,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xx))) )
| ~ spl2_1
| ~ spl2_93 ),
inference(resolution,[],[f1003,f79]) ).
fof(f7059,plain,
( spl2_413
| ~ spl2_9
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f861,f775,f120,f7057]) ).
fof(f7057,plain,
( spl2_413
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(smndt0(X1),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_413])]) ).
fof(f861,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(smndt0(X1),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_78 ),
inference(resolution,[],[f776,f121]) ).
fof(f7055,plain,
( spl2_412
| ~ spl2_9
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f851,f771,f120,f7053]) ).
fof(f7053,plain,
( spl2_412
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(smndt0(X1),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_412])]) ).
fof(f851,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(smndt0(X1),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_77 ),
inference(resolution,[],[f772,f121]) ).
fof(f7051,plain,
( spl2_411
| ~ spl2_9
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f840,f767,f120,f7049]) ).
fof(f7049,plain,
( spl2_411
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(smndt0(X1),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_411])]) ).
fof(f840,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(smndt0(X1),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_76 ),
inference(resolution,[],[f768,f121]) ).
fof(f7047,plain,
( spl2_410
| ~ spl2_9
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f828,f763,f120,f7045]) ).
fof(f7045,plain,
( spl2_410
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(smndt0(X1),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_410])]) ).
fof(f828,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(smndt0(X1),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_75 ),
inference(resolution,[],[f764,f121]) ).
fof(f7043,plain,
( spl2_409
| ~ spl2_9
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f819,f759,f120,f7041]) ).
fof(f7041,plain,
( spl2_409
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xv)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xv))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_409])]) ).
fof(f819,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xv)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xv))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_74 ),
inference(resolution,[],[f760,f121]) ).
fof(f7039,plain,
( spl2_408
| ~ spl2_9
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f809,f755,f120,f7037]) ).
fof(f7037,plain,
( spl2_408
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xu)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xu))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_408])]) ).
fof(f809,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xu)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xu))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_73 ),
inference(resolution,[],[f756,f121]) ).
fof(f7035,plain,
( spl2_407
| ~ spl2_9
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f798,f751,f120,f7033]) ).
fof(f7033,plain,
( spl2_407
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xy)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xy))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_407])]) ).
fof(f798,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xy)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xy))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_72 ),
inference(resolution,[],[f752,f121]) ).
fof(f7031,plain,
( spl2_406
| ~ spl2_9
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f786,f747,f120,f7029]) ).
fof(f7029,plain,
( spl2_406
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xx)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xx))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_406])]) ).
fof(f786,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xx)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xx))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_71 ),
inference(resolution,[],[f748,f121]) ).
fof(f7027,plain,
( spl2_405
| ~ spl2_6
| ~ spl2_113
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f3651,f2950,f1174,f102,f7024]) ).
fof(f7024,plain,
( spl2_405
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_405])]) ).
fof(f3651,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xv,xv))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_231 ),
inference(forward_demodulation,[],[f3650,f1176]) ).
fof(f3650,plain,
( sdtasdt0(sz0z00,xv) = sdtasdt0(sz0z00,sdtasdt0(xv,xv))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_231 ),
inference(forward_demodulation,[],[f3638,f1176]) ).
fof(f3638,plain,
( sdtasdt0(sdtasdt0(sz0z00,xv),xv) = sdtasdt0(sz0z00,sdtasdt0(xv,xv))
| ~ spl2_6
| ~ spl2_231 ),
inference(resolution,[],[f2951,f104]) ).
fof(f6978,plain,
( spl2_404
| ~ spl2_9
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f724,f705,f120,f6976]) ).
fof(f724,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz0z00) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_68 ),
inference(resolution,[],[f706,f121]) ).
fof(f6974,plain,
( spl2_403
| ~ spl2_9
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f711,f701,f120,f6972]) ).
fof(f711,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz0z00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz0z00))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_67 ),
inference(resolution,[],[f702,f121]) ).
fof(f6889,plain,
( spl2_402
| ~ spl2_6
| ~ spl2_108
| ~ spl2_113
| ~ spl2_227 ),
inference(avatar_split_clause,[],[f3571,f2932,f1174,f1149,f102,f6886]) ).
fof(f6886,plain,
( spl2_402
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_402])]) ).
fof(f3571,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,xv))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_113
| ~ spl2_227 ),
inference(forward_demodulation,[],[f3570,f1151]) ).
fof(f3570,plain,
( sdtasdt0(sz0z00,xu) = sdtasdt0(sz0z00,sdtasdt0(xu,xv))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_227 ),
inference(forward_demodulation,[],[f3558,f1176]) ).
fof(f3558,plain,
( sdtasdt0(sdtasdt0(sz0z00,xv),xu) = sdtasdt0(sz0z00,sdtasdt0(xu,xv))
| ~ spl2_6
| ~ spl2_227 ),
inference(resolution,[],[f2933,f104]) ).
fof(f6724,plain,
( spl2_401
| ~ spl2_6
| ~ spl2_108
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f3552,f2928,f1149,f102,f6721]) ).
fof(f6721,plain,
( spl2_401
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_401])]) ).
fof(f3552,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xu,xu))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_226 ),
inference(forward_demodulation,[],[f3551,f1151]) ).
fof(f3551,plain,
( sdtasdt0(sz0z00,xu) = sdtasdt0(sz0z00,sdtasdt0(xu,xu))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_226 ),
inference(forward_demodulation,[],[f3539,f1151]) ).
fof(f3539,plain,
( sdtasdt0(sdtasdt0(sz0z00,xu),xu) = sdtasdt0(sz0z00,sdtasdt0(xu,xu))
| ~ spl2_6
| ~ spl2_226 ),
inference(resolution,[],[f2929,f104]) ).
fof(f6631,plain,
( spl2_400
| ~ spl2_32
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1445,f990,f252,f6629]) ).
fof(f6629,plain,
( spl2_400
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_400])]) ).
fof(f1445,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),X0) )
| ~ spl2_32
| ~ spl2_91 ),
inference(resolution,[],[f991,f253]) ).
fof(f6627,plain,
( spl2_399
| ~ spl2_30
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1444,f990,f216,f6625]) ).
fof(f6625,plain,
( spl2_399
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_399])]) ).
fof(f1444,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),X0) )
| ~ spl2_30
| ~ spl2_91 ),
inference(resolution,[],[f991,f217]) ).
fof(f6623,plain,
( spl2_398
| ~ spl2_32
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1294,f986,f252,f6621]) ).
fof(f6621,plain,
( spl2_398
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_398])]) ).
fof(f1294,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),X0) )
| ~ spl2_32
| ~ spl2_90 ),
inference(resolution,[],[f987,f253]) ).
fof(f6619,plain,
( spl2_397
| ~ spl2_30
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1293,f986,f216,f6617]) ).
fof(f6617,plain,
( spl2_397
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_397])]) ).
fof(f1293,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),X0) )
| ~ spl2_30
| ~ spl2_90 ),
inference(resolution,[],[f987,f217]) ).
fof(f6615,plain,
( spl2_396
| ~ spl2_4
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f983,f964,f92,f6613]) ).
fof(f6613,plain,
( spl2_396
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xv)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_396])]) ).
fof(f983,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xv)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xv))) )
| ~ spl2_4
| ~ spl2_89 ),
inference(resolution,[],[f965,f94]) ).
fof(f6611,plain,
( spl2_395
| ~ spl2_3
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f982,f964,f87,f6609]) ).
fof(f6609,plain,
( spl2_395
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xu)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_395])]) ).
fof(f982,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xu)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xu))) )
| ~ spl2_3
| ~ spl2_89 ),
inference(resolution,[],[f965,f89]) ).
fof(f6607,plain,
( spl2_394
| ~ spl2_6
| ~ spl2_94
| ~ spl2_113
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f3491,f2916,f1174,f1015,f102,f6604]) ).
fof(f6604,plain,
( spl2_394
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_394])]) ).
fof(f3491,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,xv))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_113
| ~ spl2_223 ),
inference(forward_demodulation,[],[f3490,f1017]) ).
fof(f3490,plain,
( sdtasdt0(sz0z00,xy) = sdtasdt0(sz0z00,sdtasdt0(xy,xv))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_223 ),
inference(forward_demodulation,[],[f3478,f1176]) ).
fof(f3478,plain,
( sdtasdt0(sdtasdt0(sz0z00,xv),xy) = sdtasdt0(sz0z00,sdtasdt0(xy,xv))
| ~ spl2_6
| ~ spl2_223 ),
inference(resolution,[],[f2917,f104]) ).
fof(f6602,plain,
( spl2_393
| ~ spl2_2
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f981,f964,f82,f6600]) ).
fof(f6600,plain,
( spl2_393
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xy)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xy))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_393])]) ).
fof(f981,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xy)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xy))) )
| ~ spl2_2
| ~ spl2_89 ),
inference(resolution,[],[f965,f84]) ).
fof(f6598,plain,
( spl2_392
| ~ spl2_1
| ~ spl2_89 ),
inference(avatar_split_clause,[],[f980,f964,f77,f6596]) ).
fof(f6596,plain,
( spl2_392
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xx)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_392])]) ).
fof(f980,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xx)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xx))) )
| ~ spl2_1
| ~ spl2_89 ),
inference(resolution,[],[f965,f79]) ).
fof(f6594,plain,
( spl2_391
| ~ spl2_4
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f974,f960,f92,f6592]) ).
fof(f6592,plain,
( spl2_391
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xv)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xv))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_391])]) ).
fof(f974,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xv)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xv))) )
| ~ spl2_4
| ~ spl2_88 ),
inference(resolution,[],[f961,f94]) ).
fof(f6590,plain,
( spl2_390
| ~ spl2_3
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f973,f960,f87,f6588]) ).
fof(f6588,plain,
( spl2_390
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xu)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xu))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_390])]) ).
fof(f973,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xu)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xu))) )
| ~ spl2_3
| ~ spl2_88 ),
inference(resolution,[],[f961,f89]) ).
fof(f6586,plain,
( spl2_389
| ~ spl2_2
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f972,f960,f82,f6584]) ).
fof(f6584,plain,
( spl2_389
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xy)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xy))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_389])]) ).
fof(f972,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xy)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xy))) )
| ~ spl2_2
| ~ spl2_88 ),
inference(resolution,[],[f961,f84]) ).
fof(f6582,plain,
( spl2_388
| ~ spl2_1
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f971,f960,f77,f6580]) ).
fof(f6580,plain,
( spl2_388
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xx)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_388])]) ).
fof(f971,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xx)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xx))) )
| ~ spl2_1
| ~ spl2_88 ),
inference(resolution,[],[f961,f79]) ).
fof(f6578,plain,
( spl2_387
| ~ spl2_9
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f694,f608,f120,f6576]) ).
fof(f6576,plain,
( spl2_387
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xv) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_387])]) ).
fof(f694,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xv) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_65 ),
inference(resolution,[],[f609,f121]) ).
fof(f6574,plain,
( spl2_386
| ~ spl2_9
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f684,f604,f120,f6572]) ).
fof(f6572,plain,
( spl2_386
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xu) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_386])]) ).
fof(f684,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xu) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_64 ),
inference(resolution,[],[f605,f121]) ).
fof(f6570,plain,
( spl2_385
| ~ spl2_9
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f673,f600,f120,f6568]) ).
fof(f6568,plain,
( spl2_385
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xy) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_385])]) ).
fof(f673,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xy) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_63 ),
inference(resolution,[],[f601,f121]) ).
fof(f6566,plain,
( spl2_384
| ~ spl2_9
| ~ spl2_62 ),
inference(avatar_split_clause,[],[f661,f596,f120,f6564]) ).
fof(f6564,plain,
( spl2_384
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xx) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_384])]) ).
fof(f661,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xx) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_62 ),
inference(resolution,[],[f597,f121]) ).
fof(f6562,plain,
( spl2_383
| ~ spl2_6
| ~ spl2_94
| ~ spl2_108
| ~ spl2_222 ),
inference(avatar_split_clause,[],[f3470,f2912,f1149,f1015,f102,f6559]) ).
fof(f6559,plain,
( spl2_383
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_383])]) ).
fof(f3470,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,xu))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_108
| ~ spl2_222 ),
inference(forward_demodulation,[],[f3469,f1017]) ).
fof(f3469,plain,
( sdtasdt0(sz0z00,xy) = sdtasdt0(sz0z00,sdtasdt0(xy,xu))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_222 ),
inference(forward_demodulation,[],[f3457,f1151]) ).
fof(f3457,plain,
( sdtasdt0(sdtasdt0(sz0z00,xu),xy) = sdtasdt0(sz0z00,sdtasdt0(xy,xu))
| ~ spl2_6
| ~ spl2_222 ),
inference(resolution,[],[f2913,f104]) ).
fof(f6557,plain,
( spl2_382
| ~ spl2_9
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f652,f592,f120,f6555]) ).
fof(f652,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xv) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xv))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_61 ),
inference(resolution,[],[f593,f121]) ).
fof(f6553,plain,
( spl2_381
| ~ spl2_9
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f642,f588,f120,f6551]) ).
fof(f642,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xu) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xu))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_60 ),
inference(resolution,[],[f589,f121]) ).
fof(f6549,plain,
( spl2_380
| ~ spl2_9
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f626,f584,f120,f6547]) ).
fof(f626,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xy) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xy))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_59 ),
inference(resolution,[],[f585,f121]) ).
fof(f6545,plain,
( spl2_379
| ~ spl2_9
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f614,f580,f120,f6543]) ).
fof(f614,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xx))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_58 ),
inference(resolution,[],[f581,f121]) ).
fof(f6538,plain,
( spl2_378
| ~ spl2_8
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f554,f542,f116,f6536]) ).
fof(f6536,plain,
( spl2_378
<=> ! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK1(szszuzczcdt0(szszuzczcdt0(X0))))
| sz00 = szszuzczcdt0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_378])]) ).
fof(f554,plain,
( ! [X0] :
( szszuzczcdt0(szszuzczcdt0(X0)) = szszuzczcdt0(sK1(szszuzczcdt0(szszuzczcdt0(X0))))
| sz00 = szszuzczcdt0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl2_8
| ~ spl2_54 ),
inference(resolution,[],[f543,f117]) ).
fof(f6442,plain,
( spl2_377
| ~ spl2_6
| ~ spl2_94
| ~ spl2_221 ),
inference(avatar_split_clause,[],[f3449,f2908,f1015,f102,f6439]) ).
fof(f6439,plain,
( spl2_377
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_377])]) ).
fof(f3449,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xy,xy))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_221 ),
inference(forward_demodulation,[],[f3448,f1017]) ).
fof(f3448,plain,
( sdtasdt0(sz0z00,xy) = sdtasdt0(sz0z00,sdtasdt0(xy,xy))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_221 ),
inference(forward_demodulation,[],[f3436,f1017]) ).
fof(f3436,plain,
( sdtasdt0(sdtasdt0(sz0z00,xy),xy) = sdtasdt0(sz0z00,sdtasdt0(xy,xy))
| ~ spl2_6
| ~ spl2_221 ),
inference(resolution,[],[f2909,f104]) ).
fof(f6345,plain,
( spl2_376
| ~ spl2_6
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f920,f885,f102,f6343]) ).
fof(f6343,plain,
( spl2_376
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sz0z00)) = sdtasdt0(sdtasdt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_376])]) ).
fof(f920,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,sz0z00)) = sdtasdt0(sdtasdt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_6
| ~ spl2_84 ),
inference(resolution,[],[f886,f104]) ).
fof(f6341,plain,
( spl2_375
| ~ spl2_6
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f912,f881,f102,f6339]) ).
fof(f6339,plain,
( spl2_375
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtasdt0(sdtpldt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_375])]) ).
fof(f912,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtasdt0(sdtpldt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_6
| ~ spl2_83 ),
inference(resolution,[],[f882,f104]) ).
fof(f6337,plain,
( spl2_374
| ~ spl2_6
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f904,f872,f102,f6335]) ).
fof(f6335,plain,
( spl2_374
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_374])]) ).
fof(f904,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_6
| ~ spl2_81 ),
inference(resolution,[],[f873,f104]) ).
fof(f6333,plain,
( spl2_373
| ~ spl2_6
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f896,f868,f102,f6331]) ).
fof(f6331,plain,
( spl2_373
<=> ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtpldt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_373])]) ).
fof(f896,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtpldt0(X1,sz0z00),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_6
| ~ spl2_80 ),
inference(resolution,[],[f869,f104]) ).
fof(f6329,plain,
( spl2_372
| ~ spl2_6
| ~ spl2_66
| ~ spl2_113
| ~ spl2_219 ),
inference(avatar_split_clause,[],[f3409,f2898,f1174,f635,f102,f6326]) ).
fof(f6326,plain,
( spl2_372
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_372])]) ).
fof(f3409,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,xv))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_113
| ~ spl2_219 ),
inference(forward_demodulation,[],[f3408,f637]) ).
fof(f3408,plain,
( sdtasdt0(sz0z00,xx) = sdtasdt0(sz0z00,sdtasdt0(xx,xv))
| ~ spl2_6
| ~ spl2_113
| ~ spl2_219 ),
inference(forward_demodulation,[],[f3396,f1176]) ).
fof(f3396,plain,
( sdtasdt0(sdtasdt0(sz0z00,xv),xx) = sdtasdt0(sz0z00,sdtasdt0(xx,xv))
| ~ spl2_6
| ~ spl2_219 ),
inference(resolution,[],[f2899,f104]) ).
fof(f6324,plain,
( spl2_371
| ~ spl2_9
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f568,f550,f120,f6322]) ).
fof(f6322,plain,
( spl2_371
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_371])]) ).
fof(f568,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_56 ),
inference(resolution,[],[f551,f121]) ).
fof(f6320,plain,
( spl2_370
| ~ spl2_9
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f559,f546,f120,f6318]) ).
fof(f6318,plain,
( spl2_370
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_370])]) ).
fof(f559,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_55 ),
inference(resolution,[],[f547,f121]) ).
fof(f6316,plain,
( spl2_369
| ~ spl2_24
| ~ spl2_53 ),
inference(avatar_split_clause,[],[f531,f514,f185,f6314]) ).
fof(f531,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_53 ),
inference(resolution,[],[f515,f186]) ).
fof(f6312,plain,
( spl2_368
| ~ spl2_25
| ~ spl2_53 ),
inference(avatar_split_clause,[],[f530,f514,f189,f6310]) ).
fof(f530,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtasdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_53 ),
inference(resolution,[],[f515,f190]) ).
fof(f6308,plain,
( spl2_367
| ~ spl2_24
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f519,f510,f185,f6306]) ).
fof(f519,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_52 ),
inference(resolution,[],[f511,f186]) ).
fof(f6304,plain,
( spl2_366
| ~ spl2_25
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f518,f510,f189,f6302]) ).
fof(f518,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_52 ),
inference(resolution,[],[f511,f190]) ).
fof(f6292,plain,
( spl2_365
| ~ spl2_6
| ~ spl2_66
| ~ spl2_108
| ~ spl2_218 ),
inference(avatar_split_clause,[],[f3390,f2894,f1149,f635,f102,f6289]) ).
fof(f6289,plain,
( spl2_365
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_365])]) ).
fof(f3390,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,xu))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_108
| ~ spl2_218 ),
inference(forward_demodulation,[],[f3389,f637]) ).
fof(f3389,plain,
( sdtasdt0(sz0z00,xx) = sdtasdt0(sz0z00,sdtasdt0(xx,xu))
| ~ spl2_6
| ~ spl2_108
| ~ spl2_218 ),
inference(forward_demodulation,[],[f3377,f1151]) ).
fof(f3377,plain,
( sdtasdt0(sdtasdt0(sz0z00,xu),xx) = sdtasdt0(sz0z00,sdtasdt0(xx,xu))
| ~ spl2_6
| ~ spl2_218 ),
inference(resolution,[],[f2895,f104]) ).
fof(f6273,plain,
( spl2_364
| ~ spl2_46
| ~ spl2_47
| ~ spl2_91
| ~ spl2_125
| ~ spl2_217
| ~ spl2_220
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f4790,f4786,f2902,f2890,f1282,f990,f416,f412,f6270]) ).
fof(f4786,plain,
( spl2_340
<=> sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_340])]) ).
fof(f4790,plain,
( sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))) = sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_46
| ~ spl2_47
| ~ spl2_91
| ~ spl2_125
| ~ spl2_217
| ~ spl2_220
| ~ spl2_340 ),
inference(forward_demodulation,[],[f4788,f3429]) ).
fof(f3429,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy) = sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_46
| ~ spl2_47
| ~ spl2_91
| ~ spl2_125
| ~ spl2_217
| ~ spl2_220 ),
inference(forward_demodulation,[],[f3428,f3371]) ).
fof(f3371,plain,
( sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))) = sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,xy))
| ~ spl2_46
| ~ spl2_47
| ~ spl2_91
| ~ spl2_125
| ~ spl2_217 ),
inference(forward_demodulation,[],[f3370,f1454]) ).
fof(f3370,plain,
( sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx) = sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,xy))
| ~ spl2_47
| ~ spl2_125
| ~ spl2_217 ),
inference(forward_demodulation,[],[f3358,f1379]) ).
fof(f3358,plain,
( sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),xy),xx) = sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,xy))
| ~ spl2_125
| ~ spl2_217 ),
inference(resolution,[],[f2891,f1283]) ).
fof(f3428,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy) = sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,xy))
| ~ spl2_46
| ~ spl2_125
| ~ spl2_220 ),
inference(forward_demodulation,[],[f3416,f1378]) ).
fof(f3416,plain,
( sdtasdt0(sdtpldt0(xu,xv),sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(sdtpldt0(xu,xv),xx),xy)
| ~ spl2_125
| ~ spl2_220 ),
inference(resolution,[],[f2903,f1283]) ).
fof(f4788,plain,
( sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_340 ),
inference(avatar_component_clause,[],[f4786]) ).
fof(f6264,plain,
( spl2_363
| ~ spl2_6
| ~ spl2_66
| ~ spl2_94
| ~ spl2_217 ),
inference(avatar_split_clause,[],[f3369,f2890,f1015,f635,f102,f6261]) ).
fof(f6261,plain,
( spl2_363
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_363])]) ).
fof(f3369,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,xy))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_94
| ~ spl2_217 ),
inference(forward_demodulation,[],[f3368,f637]) ).
fof(f3368,plain,
( sdtasdt0(sz0z00,xx) = sdtasdt0(sz0z00,sdtasdt0(xx,xy))
| ~ spl2_6
| ~ spl2_94
| ~ spl2_217 ),
inference(forward_demodulation,[],[f3356,f1017]) ).
fof(f3356,plain,
( sdtasdt0(sdtasdt0(sz0z00,xy),xx) = sdtasdt0(sz0z00,sdtasdt0(xx,xy))
| ~ spl2_6
| ~ spl2_217 ),
inference(resolution,[],[f2891,f104]) ).
fof(f6125,plain,
( spl2_362
| ~ spl2_6
| ~ spl2_66
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f3347,f2886,f635,f102,f6122]) ).
fof(f6122,plain,
( spl2_362
<=> sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_362])]) ).
fof(f3347,plain,
( sz0z00 = sdtasdt0(sz0z00,sdtasdt0(xx,xx))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_216 ),
inference(forward_demodulation,[],[f3346,f637]) ).
fof(f3346,plain,
( sdtasdt0(sz0z00,xx) = sdtasdt0(sz0z00,sdtasdt0(xx,xx))
| ~ spl2_6
| ~ spl2_66
| ~ spl2_216 ),
inference(forward_demodulation,[],[f3334,f637]) ).
fof(f3334,plain,
( sdtasdt0(sdtasdt0(sz0z00,xx),xx) = sdtasdt0(sz0z00,sdtasdt0(xx,xx))
| ~ spl2_6
| ~ spl2_216 ),
inference(resolution,[],[f2887,f104]) ).
fof(f5926,plain,
( spl2_361
| ~ spl2_4
| ~ spl2_112
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f2621,f2025,f1169,f92,f5923]) ).
fof(f5923,plain,
( spl2_361
<=> sz0z00 = sdtasdt0(sdtasdt0(xv,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_361])]) ).
fof(f2621,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xv,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_185 ),
inference(forward_demodulation,[],[f2605,f1171]) ).
fof(f2605,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xv,xv),sz0z00)
| ~ spl2_4
| ~ spl2_185 ),
inference(resolution,[],[f2026,f94]) ).
fof(f5633,plain,
( spl2_360
| ~ spl2_4
| ~ spl2_112
| ~ spl2_140
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f2593,f2021,f1697,f1169,f92,f5630]) ).
fof(f5630,plain,
( spl2_360
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_360])]) ).
fof(f2593,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_140
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2592,f1171]) ).
fof(f2592,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xu,xv),sz0z00)
| ~ spl2_4
| ~ spl2_140
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2576,f1699]) ).
fof(f2576,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xv,xu),sz0z00)
| ~ spl2_4
| ~ spl2_184 ),
inference(resolution,[],[f2022,f94]) ).
fof(f5355,plain,
( spl2_359
| ~ spl2_3
| ~ spl2_107
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f2591,f2021,f1144,f87,f5352]) ).
fof(f5352,plain,
( spl2_359
<=> sz0z00 = sdtasdt0(sdtasdt0(xu,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_359])]) ).
fof(f2591,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xu,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_184 ),
inference(forward_demodulation,[],[f2575,f1146]) ).
fof(f2575,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xu,xu),sz0z00)
| ~ spl2_3
| ~ spl2_184 ),
inference(resolution,[],[f2022,f89]) ).
fof(f5097,plain,
( spl2_358
| ~ spl2_4
| ~ spl2_112
| ~ spl2_139
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f2564,f2017,f1692,f1169,f92,f5094]) ).
fof(f5094,plain,
( spl2_358
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_358])]) ).
fof(f2564,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_139
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2563,f1171]) ).
fof(f2563,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xy,xv),sz0z00)
| ~ spl2_4
| ~ spl2_139
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2547,f1694]) ).
fof(f2547,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xv,xy),sz0z00)
| ~ spl2_4
| ~ spl2_183 ),
inference(resolution,[],[f2018,f94]) ).
fof(f4963,plain,
( spl2_357
| ~ spl2_3
| ~ spl2_107
| ~ spl2_138
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f2562,f2017,f1687,f1144,f87,f4960]) ).
fof(f4960,plain,
( spl2_357
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_357])]) ).
fof(f2562,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_138
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2561,f1146]) ).
fof(f2561,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xy,xu),sz0z00)
| ~ spl2_3
| ~ spl2_138
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2546,f1689]) ).
fof(f2546,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xu,xy),sz0z00)
| ~ spl2_3
| ~ spl2_183 ),
inference(resolution,[],[f2018,f89]) ).
fof(f4873,plain,
( spl2_356
| ~ spl2_53
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1459,f990,f514,f4870]) ).
fof(f4870,plain,
( spl2_356
<=> sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_356])]) ).
fof(f4867,plain,
( spl2_355
| ~ spl2_52
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1458,f990,f510,f4864]) ).
fof(f4864,plain,
( spl2_355
<=> sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_355])]) ).
fof(f4862,plain,
( spl2_354
| ~ spl2_50
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1457,f990,f429,f4859]) ).
fof(f4859,plain,
( spl2_354
<=> sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv) = sdtasdt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_354])]) ).
fof(f4857,plain,
( spl2_353
| ~ spl2_2
| ~ spl2_87
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f2560,f2017,f955,f82,f4854]) ).
fof(f4854,plain,
( spl2_353
<=> sz0z00 = sdtasdt0(sdtasdt0(xy,xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_353])]) ).
fof(f2560,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xy,xy),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_183 ),
inference(forward_demodulation,[],[f2545,f957]) ).
fof(f2545,plain,
( sdtasdt0(xy,sz0z00) = sdtasdt0(sdtasdt0(xy,xy),sz0z00)
| ~ spl2_2
| ~ spl2_183 ),
inference(resolution,[],[f2018,f84]) ).
fof(f4852,plain,
( spl2_352
| ~ spl2_49
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1456,f990,f425,f4849]) ).
fof(f4849,plain,
( spl2_352
<=> sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu) = sdtasdt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_352])]) ).
fof(f4847,plain,
( spl2_351
| ~ spl2_47
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1455,f990,f416,f4844]) ).
fof(f4844,plain,
( spl2_351
<=> sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy) = sdtasdt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_351])]) ).
fof(f4842,plain,
( spl2_350
| ~ spl2_46
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1454,f990,f412,f4839]) ).
fof(f4839,plain,
( spl2_350
<=> sdtasdt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx) = sdtasdt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_350])]) ).
fof(f4837,plain,
( spl2_349
| ~ spl2_45
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1453,f990,f408,f4834]) ).
fof(f4834,plain,
( spl2_349
<=> sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xv) = sdtpldt0(xv,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_349])]) ).
fof(f4832,plain,
( spl2_348
| ~ spl2_44
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1452,f990,f404,f4829]) ).
fof(f4829,plain,
( spl2_348
<=> sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xu) = sdtpldt0(xu,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_348])]) ).
fof(f4827,plain,
( spl2_347
| ~ spl2_43
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1451,f990,f400,f4824]) ).
fof(f4824,plain,
( spl2_347
<=> sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xy) = sdtpldt0(xy,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_347])]) ).
fof(f4822,plain,
( spl2_346
| ~ spl2_42
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1450,f990,f396,f4819]) ).
fof(f4819,plain,
( spl2_346
<=> sdtpldt0(sdtasdt0(xy,sdtpldt0(xu,xv)),xx) = sdtpldt0(xx,sdtasdt0(xy,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_346])]) ).
fof(f4816,plain,
( spl2_345
| ~ spl2_53
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1308,f986,f514,f4813]) ).
fof(f4813,plain,
( spl2_345
<=> sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtasdt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_345])]) ).
fof(f4810,plain,
( spl2_344
| ~ spl2_52
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1307,f986,f510,f4807]) ).
fof(f4807,plain,
( spl2_344
<=> sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sz0z00) = sdtpldt0(sz0z00,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_344])]) ).
fof(f4805,plain,
( spl2_343
| ~ spl2_50
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1306,f986,f429,f4802]) ).
fof(f4802,plain,
( spl2_343
<=> sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv) = sdtasdt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_343])]) ).
fof(f4800,plain,
( spl2_342
| ~ spl2_4
| ~ spl2_112
| ~ spl2_137
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f2535,f2013,f1682,f1169,f92,f4797]) ).
fof(f4797,plain,
( spl2_342
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_342])]) ).
fof(f2535,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,xv),sz0z00)
| ~ spl2_4
| ~ spl2_112
| ~ spl2_137
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2534,f1171]) ).
fof(f2534,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xx,xv),sz0z00)
| ~ spl2_4
| ~ spl2_137
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2516,f1684]) ).
fof(f2516,plain,
( sdtasdt0(xv,sz0z00) = sdtasdt0(sdtasdt0(xv,xx),sz0z00)
| ~ spl2_4
| ~ spl2_182 ),
inference(resolution,[],[f2014,f94]) ).
fof(f4795,plain,
( spl2_341
| ~ spl2_49
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1305,f986,f425,f4792]) ).
fof(f4792,plain,
( spl2_341
<=> sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu) = sdtasdt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_341])]) ).
fof(f4789,plain,
( spl2_340
| ~ spl2_47
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1304,f986,f416,f4786]) ).
fof(f4784,plain,
( spl2_339
| ~ spl2_46
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1303,f986,f412,f4781]) ).
fof(f4781,plain,
( spl2_339
<=> sdtasdt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx) = sdtasdt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_339])]) ).
fof(f4779,plain,
( spl2_338
| ~ spl2_45
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1302,f986,f408,f4776]) ).
fof(f4776,plain,
( spl2_338
<=> sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xv) = sdtpldt0(xv,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_338])]) ).
fof(f4774,plain,
( spl2_337
| ~ spl2_44
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1301,f986,f404,f4771]) ).
fof(f4771,plain,
( spl2_337
<=> sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xu) = sdtpldt0(xu,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_337])]) ).
fof(f4769,plain,
( spl2_336
| ~ spl2_43
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1300,f986,f400,f4766]) ).
fof(f4766,plain,
( spl2_336
<=> sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xy) = sdtpldt0(xy,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_336])]) ).
fof(f4764,plain,
( spl2_335
| ~ spl2_42
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1299,f986,f396,f4761]) ).
fof(f4761,plain,
( spl2_335
<=> sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),xx) = sdtpldt0(xx,sdtasdt0(xx,sdtpldt0(xu,xv))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_335])]) ).
fof(f4759,plain,
( spl2_334
| ~ spl2_4
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f927,f885,f92,f4757]) ).
fof(f927,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xv)) = sdtasdt0(sdtasdt0(X1,xv),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_4
| ~ spl2_84 ),
inference(resolution,[],[f886,f94]) ).
fof(f4755,plain,
( spl2_333
| ~ spl2_3
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f926,f885,f87,f4753]) ).
fof(f926,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xu)) = sdtasdt0(sdtasdt0(X1,xu),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_3
| ~ spl2_84 ),
inference(resolution,[],[f886,f89]) ).
fof(f4751,plain,
( spl2_332
| ~ spl2_2
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f925,f885,f82,f4749]) ).
fof(f925,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xy)) = sdtasdt0(sdtasdt0(X1,xy),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_2
| ~ spl2_84 ),
inference(resolution,[],[f886,f84]) ).
fof(f4747,plain,
( spl2_331
| ~ spl2_3
| ~ spl2_107
| ~ spl2_136
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f2533,f2013,f1677,f1144,f87,f4744]) ).
fof(f4744,plain,
( spl2_331
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,xu),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_331])]) ).
fof(f2533,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,xu),sz0z00)
| ~ spl2_3
| ~ spl2_107
| ~ spl2_136
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2532,f1146]) ).
fof(f2532,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xx,xu),sz0z00)
| ~ spl2_3
| ~ spl2_136
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2515,f1679]) ).
fof(f2515,plain,
( sdtasdt0(xu,sz0z00) = sdtasdt0(sdtasdt0(xu,xx),sz0z00)
| ~ spl2_3
| ~ spl2_182 ),
inference(resolution,[],[f2014,f89]) ).
fof(f4742,plain,
( spl2_330
| ~ spl2_1
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f924,f885,f77,f4740]) ).
fof(f924,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,xx)) = sdtasdt0(sdtasdt0(X1,xx),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_1
| ~ spl2_84 ),
inference(resolution,[],[f886,f79]) ).
fof(f4738,plain,
( spl2_329
| ~ spl2_4
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f919,f881,f92,f4736]) ).
fof(f919,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xv)) = sdtasdt0(sdtpldt0(X1,xv),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_4
| ~ spl2_83 ),
inference(resolution,[],[f882,f94]) ).
fof(f4734,plain,
( spl2_328
| ~ spl2_3
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f918,f881,f87,f4732]) ).
fof(f918,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xu)) = sdtasdt0(sdtpldt0(X1,xu),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_3
| ~ spl2_83 ),
inference(resolution,[],[f882,f89]) ).
fof(f4730,plain,
( spl2_327
| ~ spl2_2
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f917,f881,f82,f4728]) ).
fof(f917,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xy)) = sdtasdt0(sdtpldt0(X1,xy),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_2
| ~ spl2_83 ),
inference(resolution,[],[f882,f84]) ).
fof(f4726,plain,
( spl2_326
| ~ spl2_1
| ~ spl2_83 ),
inference(avatar_split_clause,[],[f916,f881,f77,f4724]) ).
fof(f916,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtasdt0(sdtpldt0(X1,xx),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_1
| ~ spl2_83 ),
inference(resolution,[],[f882,f79]) ).
fof(f4722,plain,
( spl2_325
| ~ spl2_4
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f911,f872,f92,f4720]) ).
fof(f911,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,xv)) = sdtpldt0(sdtasdt0(X1,xv),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_4
| ~ spl2_81 ),
inference(resolution,[],[f873,f94]) ).
fof(f4718,plain,
( spl2_324
| ~ spl2_3
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f910,f872,f87,f4716]) ).
fof(f910,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,xu)) = sdtpldt0(sdtasdt0(X1,xu),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_3
| ~ spl2_81 ),
inference(resolution,[],[f873,f89]) ).
fof(f4714,plain,
( spl2_323
| ~ spl2_2
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f909,f872,f82,f4712]) ).
fof(f909,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,xy)) = sdtpldt0(sdtasdt0(X1,xy),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_2
| ~ spl2_81 ),
inference(resolution,[],[f873,f84]) ).
fof(f4710,plain,
( spl2_322
| ~ spl2_1
| ~ spl2_81 ),
inference(avatar_split_clause,[],[f908,f872,f77,f4708]) ).
fof(f908,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,xx)) = sdtpldt0(sdtasdt0(X1,xx),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_1
| ~ spl2_81 ),
inference(resolution,[],[f873,f79]) ).
fof(f4706,plain,
( spl2_321
| ~ spl2_4
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f903,f868,f92,f4704]) ).
fof(f903,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xv)) = sdtpldt0(sdtpldt0(X1,xv),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_4
| ~ spl2_80 ),
inference(resolution,[],[f869,f94]) ).
fof(f4702,plain,
( spl2_320
| ~ spl2_2
| ~ spl2_87
| ~ spl2_135
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f2531,f2013,f1672,f955,f82,f4699]) ).
fof(f4699,plain,
( spl2_320
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,xy),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_320])]) ).
fof(f2531,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,xy),sz0z00)
| ~ spl2_2
| ~ spl2_87
| ~ spl2_135
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2530,f957]) ).
fof(f2530,plain,
( sdtasdt0(xy,sz0z00) = sdtasdt0(sdtasdt0(xx,xy),sz0z00)
| ~ spl2_2
| ~ spl2_135
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2514,f1674]) ).
fof(f2514,plain,
( sdtasdt0(xy,sz0z00) = sdtasdt0(sdtasdt0(xy,xx),sz0z00)
| ~ spl2_2
| ~ spl2_182 ),
inference(resolution,[],[f2014,f84]) ).
fof(f4697,plain,
( spl2_319
| ~ spl2_3
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f902,f868,f87,f4695]) ).
fof(f902,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xu)) = sdtpldt0(sdtpldt0(X1,xu),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_3
| ~ spl2_80 ),
inference(resolution,[],[f869,f89]) ).
fof(f4693,plain,
( spl2_318
| ~ spl2_2
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f901,f868,f82,f4691]) ).
fof(f901,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xy)) = sdtpldt0(sdtpldt0(X1,xy),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_2
| ~ spl2_80 ),
inference(resolution,[],[f869,f84]) ).
fof(f4689,plain,
( spl2_317
| ~ spl2_1
| ~ spl2_80 ),
inference(avatar_split_clause,[],[f900,f868,f77,f4687]) ).
fof(f900,plain,
( ! [X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtpldt0(X1,xx),X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl2_1
| ~ spl2_80 ),
inference(resolution,[],[f869,f79]) ).
fof(f4685,plain,
( spl2_316
| ~ spl2_4
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f865,f775,f92,f4683]) ).
fof(f865,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xv,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_78 ),
inference(resolution,[],[f776,f94]) ).
fof(f4681,plain,
( spl2_315
| ~ spl2_3
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f864,f775,f87,f4679]) ).
fof(f864,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xu,xv))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_78 ),
inference(resolution,[],[f776,f89]) ).
fof(f4677,plain,
( spl2_314
| ~ spl2_2
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f863,f775,f82,f4675]) ).
fof(f863,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xy,xv))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_78 ),
inference(resolution,[],[f776,f84]) ).
fof(f4673,plain,
( spl2_313
| ~ spl2_1
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f862,f775,f77,f4671]) ).
fof(f862,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(xx,xv))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_78 ),
inference(resolution,[],[f776,f79]) ).
fof(f4669,plain,
( spl2_312
| ~ spl2_4
| ~ spl2_49
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f857,f771,f425,f92,f4667]) ).
fof(f857,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_49
| ~ spl2_77 ),
inference(forward_demodulation,[],[f855,f493]) ).
fof(f493,plain,
( sdtasdt0(xv,xu) = sdtasdt0(xu,xv)
| ~ spl2_4
| ~ spl2_49 ),
inference(resolution,[],[f426,f94]) ).
fof(f855,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xv,xu))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_77 ),
inference(resolution,[],[f772,f94]) ).
fof(f4665,plain,
( spl2_311
| ~ spl2_3
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f854,f771,f87,f4663]) ).
fof(f854,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xu,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_77 ),
inference(resolution,[],[f772,f89]) ).
fof(f4661,plain,
( spl2_310
| ~ spl2_2
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f853,f771,f82,f4659]) ).
fof(f853,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xy,xu))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_77 ),
inference(resolution,[],[f772,f84]) ).
fof(f4657,plain,
( spl2_309
| ~ spl2_1
| ~ spl2_57
| ~ spl2_182 ),
inference(avatar_split_clause,[],[f2529,f2013,f575,f77,f4654]) ).
fof(f4654,plain,
( spl2_309
<=> sz0z00 = sdtasdt0(sdtasdt0(xx,xx),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_309])]) ).
fof(f2529,plain,
( sz0z00 = sdtasdt0(sdtasdt0(xx,xx),sz0z00)
| ~ spl2_1
| ~ spl2_57
| ~ spl2_182 ),
inference(forward_demodulation,[],[f2513,f577]) ).
fof(f2513,plain,
( sdtasdt0(xx,sz0z00) = sdtasdt0(sdtasdt0(xx,xx),sz0z00)
| ~ spl2_1
| ~ spl2_182 ),
inference(resolution,[],[f2014,f79]) ).
fof(f4652,plain,
( spl2_308
| ~ spl2_1
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f852,f771,f77,f4650]) ).
fof(f852,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(xx,xu))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_77 ),
inference(resolution,[],[f772,f79]) ).
fof(f4648,plain,
( spl2_307
| ~ spl2_4
| ~ spl2_47
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f847,f767,f416,f92,f4646]) ).
fof(f847,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_47
| ~ spl2_76 ),
inference(forward_demodulation,[],[f844,f484]) ).
fof(f484,plain,
( sdtasdt0(xy,xv) = sdtasdt0(xv,xy)
| ~ spl2_4
| ~ spl2_47 ),
inference(resolution,[],[f417,f94]) ).
fof(f844,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xv,xy))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_76 ),
inference(resolution,[],[f768,f94]) ).
fof(f4644,plain,
( spl2_306
| ~ spl2_3
| ~ spl2_47
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f846,f767,f416,f87,f4642]) ).
fof(f846,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_47
| ~ spl2_76 ),
inference(forward_demodulation,[],[f843,f483]) ).
fof(f483,plain,
( sdtasdt0(xy,xu) = sdtasdt0(xu,xy)
| ~ spl2_3
| ~ spl2_47 ),
inference(resolution,[],[f417,f89]) ).
fof(f843,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xu,xy))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_76 ),
inference(resolution,[],[f768,f89]) ).
fof(f4640,plain,
( spl2_305
| ~ spl2_2
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f842,f767,f82,f4638]) ).
fof(f842,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xy,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_76 ),
inference(resolution,[],[f768,f84]) ).
fof(f4636,plain,
( spl2_304
| ~ spl2_1
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f841,f767,f77,f4634]) ).
fof(f841,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xx,xy))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_76 ),
inference(resolution,[],[f768,f79]) ).
fof(f4632,plain,
( spl2_303
| ~ spl2_4
| ~ spl2_46
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f836,f763,f412,f92,f4630]) ).
fof(f836,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_46
| ~ spl2_75 ),
inference(forward_demodulation,[],[f832,f475]) ).
fof(f475,plain,
( sdtasdt0(xx,xv) = sdtasdt0(xv,xx)
| ~ spl2_4
| ~ spl2_46 ),
inference(resolution,[],[f413,f94]) ).
fof(f832,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xv,xx))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_75 ),
inference(resolution,[],[f764,f94]) ).
fof(f4628,plain,
( spl2_302
| ~ spl2_3
| ~ spl2_46
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f835,f763,f412,f87,f4626]) ).
fof(f835,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_46
| ~ spl2_75 ),
inference(forward_demodulation,[],[f831,f474]) ).
fof(f474,plain,
( sdtasdt0(xx,xu) = sdtasdt0(xu,xx)
| ~ spl2_3
| ~ spl2_46 ),
inference(resolution,[],[f413,f89]) ).
fof(f831,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xu,xx))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_75 ),
inference(resolution,[],[f764,f89]) ).
fof(f4624,plain,
( spl2_301
| ~ spl2_2
| ~ spl2_46
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f834,f763,f412,f82,f4622]) ).
fof(f834,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_46
| ~ spl2_75 ),
inference(forward_demodulation,[],[f830,f473]) ).
fof(f473,plain,
( sdtasdt0(xy,xx) = sdtasdt0(xx,xy)
| ~ spl2_2
| ~ spl2_46 ),
inference(resolution,[],[f413,f84]) ).
fof(f830,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xy,xx))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_75 ),
inference(resolution,[],[f764,f84]) ).
fof(f4620,plain,
( spl2_300
| ~ spl2_1
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f829,f763,f77,f4618]) ).
fof(f829,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_75 ),
inference(resolution,[],[f764,f79]) ).
fof(f4616,plain,
( spl2_299
| ~ spl2_4
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f823,f759,f92,f4614]) ).
fof(f823,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xv,xv)) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_74 ),
inference(resolution,[],[f760,f94]) ).
fof(f4612,plain,
( spl2_298
| ~ spl2_4
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f1812,f1781,f92,f4609]) ).
fof(f4609,plain,
( spl2_298
<=> smndt0(xv) = sdtpldt0(sz0z00,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_298])]) ).
fof(f1812,plain,
( smndt0(xv) = sdtpldt0(sz0z00,smndt0(xv))
| ~ spl2_4
| ~ spl2_146 ),
inference(resolution,[],[f1782,f94]) ).
fof(f4607,plain,
( spl2_297
| ~ spl2_3
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f822,f759,f87,f4605]) ).
fof(f822,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_74 ),
inference(resolution,[],[f760,f89]) ).
fof(f4603,plain,
( spl2_296
| ~ spl2_2
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f821,f759,f82,f4601]) ).
fof(f821,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xv)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_74 ),
inference(resolution,[],[f760,f84]) ).
fof(f4599,plain,
( spl2_295
| ~ spl2_1
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f820,f759,f77,f4597]) ).
fof(f820,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xv)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_74 ),
inference(resolution,[],[f760,f79]) ).
fof(f4595,plain,
( spl2_294
| ~ spl2_4
| ~ spl2_44
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f815,f755,f404,f92,f4593]) ).
fof(f815,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xu)) = sdtasdt0(X0,sdtpldt0(xu,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_44
| ~ spl2_73 ),
inference(forward_demodulation,[],[f813,f457]) ).
fof(f457,plain,
( sdtpldt0(xu,xv) = sdtpldt0(xv,xu)
| ~ spl2_4
| ~ spl2_44 ),
inference(resolution,[],[f405,f94]) ).
fof(f813,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xv,xu)) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_73 ),
inference(resolution,[],[f756,f94]) ).
fof(f4591,plain,
( spl2_293
| ~ spl2_3
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f812,f755,f87,f4589]) ).
fof(f812,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xu,xu)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_73 ),
inference(resolution,[],[f756,f89]) ).
fof(f4587,plain,
( spl2_292
| ~ spl2_2
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f811,f755,f82,f4585]) ).
fof(f811,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xu)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_73 ),
inference(resolution,[],[f756,f84]) ).
fof(f4583,plain,
( spl2_291
| ~ spl2_1
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f810,f755,f77,f4581]) ).
fof(f810,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xu)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_73 ),
inference(resolution,[],[f756,f79]) ).
fof(f4579,plain,
( spl2_290
| ~ spl2_4
| ~ spl2_43
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f805,f751,f400,f92,f4577]) ).
fof(f805,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_43
| ~ spl2_72 ),
inference(forward_demodulation,[],[f802,f448]) ).
fof(f448,plain,
( sdtpldt0(xv,xy) = sdtpldt0(xy,xv)
| ~ spl2_4
| ~ spl2_43 ),
inference(resolution,[],[f401,f94]) ).
fof(f802,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xv,xy)) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_72 ),
inference(resolution,[],[f752,f94]) ).
fof(f4575,plain,
( spl2_289
| ~ spl2_3
| ~ spl2_43
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f804,f751,f400,f87,f4573]) ).
fof(f804,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xy)) = sdtasdt0(X0,sdtpldt0(xy,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_43
| ~ spl2_72 ),
inference(forward_demodulation,[],[f801,f447]) ).
fof(f447,plain,
( sdtpldt0(xu,xy) = sdtpldt0(xy,xu)
| ~ spl2_3
| ~ spl2_43 ),
inference(resolution,[],[f401,f89]) ).
fof(f801,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xu,xy)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_72 ),
inference(resolution,[],[f752,f89]) ).
fof(f4571,plain,
( spl2_288
| ~ spl2_2
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f800,f751,f82,f4569]) ).
fof(f800,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xy)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_72 ),
inference(resolution,[],[f752,f84]) ).
fof(f4567,plain,
( spl2_287
| ~ spl2_3
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f1811,f1781,f87,f4564]) ).
fof(f4564,plain,
( spl2_287
<=> smndt0(xu) = sdtpldt0(sz0z00,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_287])]) ).
fof(f1811,plain,
( smndt0(xu) = sdtpldt0(sz0z00,smndt0(xu))
| ~ spl2_3
| ~ spl2_146 ),
inference(resolution,[],[f1782,f89]) ).
fof(f4562,plain,
( spl2_286
| ~ spl2_1
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f799,f751,f77,f4560]) ).
fof(f799,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xy)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_72 ),
inference(resolution,[],[f752,f79]) ).
fof(f4558,plain,
( spl2_285
| ~ spl2_4
| ~ spl2_42
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f794,f747,f396,f92,f4556]) ).
fof(f794,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_42
| ~ spl2_71 ),
inference(forward_demodulation,[],[f790,f439]) ).
fof(f439,plain,
( sdtpldt0(xv,xx) = sdtpldt0(xx,xv)
| ~ spl2_4
| ~ spl2_42 ),
inference(resolution,[],[f397,f94]) ).
fof(f790,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xv,xx)) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_71 ),
inference(resolution,[],[f748,f94]) ).
fof(f4554,plain,
( spl2_284
| ~ spl2_3
| ~ spl2_42
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f793,f747,f396,f87,f4552]) ).
fof(f793,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_42
| ~ spl2_71 ),
inference(forward_demodulation,[],[f789,f438]) ).
fof(f438,plain,
( sdtpldt0(xu,xx) = sdtpldt0(xx,xu)
| ~ spl2_3
| ~ spl2_42 ),
inference(resolution,[],[f397,f89]) ).
fof(f789,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xu,xx)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_71 ),
inference(resolution,[],[f748,f89]) ).
fof(f4550,plain,
( spl2_283
| ~ spl2_2
| ~ spl2_42
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f792,f747,f396,f82,f4548]) ).
fof(f792,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_42
| ~ spl2_71 ),
inference(forward_demodulation,[],[f788,f437]) ).
fof(f437,plain,
( sdtpldt0(xx,xy) = sdtpldt0(xy,xx)
| ~ spl2_2
| ~ spl2_42 ),
inference(resolution,[],[f397,f84]) ).
fof(f788,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,xx)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_71 ),
inference(resolution,[],[f748,f84]) ).
fof(f4546,plain,
( spl2_282
| ~ spl2_1
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f787,f747,f77,f4544]) ).
fof(f787,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_71 ),
inference(resolution,[],[f748,f79]) ).
fof(f4542,plain,
( spl2_281
| ~ spl2_24
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f497,f429,f185,f4540]) ).
fof(f497,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xv) = sdtasdt0(xv,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_50 ),
inference(resolution,[],[f430,f186]) ).
fof(f4538,plain,
( spl2_280
| ~ spl2_25
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f496,f429,f189,f4536]) ).
fof(f496,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xv) = sdtasdt0(xv,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_50 ),
inference(resolution,[],[f430,f190]) ).
fof(f4534,plain,
( spl2_279
| ~ spl2_24
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f488,f425,f185,f4532]) ).
fof(f488,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xu) = sdtasdt0(xu,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_49 ),
inference(resolution,[],[f426,f186]) ).
fof(f4530,plain,
( spl2_278
| ~ spl2_25
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f487,f425,f189,f4528]) ).
fof(f487,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xu) = sdtasdt0(xu,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_49 ),
inference(resolution,[],[f426,f190]) ).
fof(f4526,plain,
( spl2_277
| ~ spl2_24
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f479,f416,f185,f4524]) ).
fof(f479,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xy) = sdtasdt0(xy,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_47 ),
inference(resolution,[],[f417,f186]) ).
fof(f4522,plain,
( spl2_276
| ~ spl2_2
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f1810,f1781,f82,f4519]) ).
fof(f4519,plain,
( spl2_276
<=> smndt0(xy) = sdtpldt0(sz0z00,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_276])]) ).
fof(f1810,plain,
( smndt0(xy) = sdtpldt0(sz0z00,smndt0(xy))
| ~ spl2_2
| ~ spl2_146 ),
inference(resolution,[],[f1782,f84]) ).
fof(f4517,plain,
( spl2_275
| ~ spl2_25
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f478,f416,f189,f4515]) ).
fof(f478,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xy) = sdtasdt0(xy,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_47 ),
inference(resolution,[],[f417,f190]) ).
fof(f4513,plain,
( spl2_274
| ~ spl2_24
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f470,f412,f185,f4511]) ).
fof(f470,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(xx,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_46 ),
inference(resolution,[],[f413,f186]) ).
fof(f4509,plain,
( spl2_273
| ~ spl2_25
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f469,f412,f189,f4507]) ).
fof(f469,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xx) = sdtasdt0(xx,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_46 ),
inference(resolution,[],[f413,f190]) ).
fof(f4505,plain,
( spl2_272
| ~ spl2_24
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f461,f408,f185,f4503]) ).
fof(f461,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xv) = sdtpldt0(xv,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_45 ),
inference(resolution,[],[f409,f186]) ).
fof(f4501,plain,
( spl2_271
| ~ spl2_25
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f460,f408,f189,f4499]) ).
fof(f460,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xv) = sdtpldt0(xv,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_45 ),
inference(resolution,[],[f409,f190]) ).
fof(f4497,plain,
( spl2_270
| ~ spl2_24
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f452,f404,f185,f4495]) ).
fof(f452,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xu) = sdtpldt0(xu,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_44 ),
inference(resolution,[],[f405,f186]) ).
fof(f4493,plain,
( spl2_269
| ~ spl2_25
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f451,f404,f189,f4491]) ).
fof(f451,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xu) = sdtpldt0(xu,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_44 ),
inference(resolution,[],[f405,f190]) ).
fof(f4489,plain,
( spl2_268
| ~ spl2_24
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f443,f400,f185,f4487]) ).
fof(f443,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xy) = sdtpldt0(xy,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_43 ),
inference(resolution,[],[f401,f186]) ).
fof(f4485,plain,
( spl2_267
| ~ spl2_25
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f442,f400,f189,f4483]) ).
fof(f442,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xy) = sdtpldt0(xy,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_43 ),
inference(resolution,[],[f401,f190]) ).
fof(f4481,plain,
( spl2_266
| ~ spl2_24
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f434,f396,f185,f4479]) ).
fof(f434,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xx) = sdtpldt0(xx,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_24
| ~ spl2_42 ),
inference(resolution,[],[f397,f186]) ).
fof(f4477,plain,
( spl2_265
| ~ spl2_1
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f1809,f1781,f77,f4474]) ).
fof(f4474,plain,
( spl2_265
<=> smndt0(xx) = sdtpldt0(sz0z00,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_265])]) ).
fof(f1809,plain,
( smndt0(xx) = sdtpldt0(sz0z00,smndt0(xx))
| ~ spl2_1
| ~ spl2_146 ),
inference(resolution,[],[f1782,f79]) ).
fof(f4472,plain,
( spl2_264
| ~ spl2_25
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f433,f396,f189,f4470]) ).
fof(f433,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(xx,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_25
| ~ spl2_42 ),
inference(resolution,[],[f397,f190]) ).
fof(f4420,plain,
( spl2_263
| ~ spl2_22
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f393,f377,f177,f4418]) ).
fof(f377,plain,
( spl2_41
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP0(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).
fof(f393,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) )
| ~ spl2_22
| ~ spl2_41 ),
inference(resolution,[],[f378,f178]) ).
fof(f378,plain,
( ! [X0,X1] :
( sP0(sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f4416,plain,
( spl2_262
| ~ spl2_21
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f392,f377,f173,f4414]) ).
fof(f392,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) )
| ~ spl2_21
| ~ spl2_41 ),
inference(resolution,[],[f378,f174]) ).
fof(f4412,plain,
( spl2_261
| ~ spl2_22
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f386,f373,f177,f4410]) ).
fof(f373,plain,
( spl2_40
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP0(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_40])]) ).
fof(f386,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) )
| ~ spl2_22
| ~ spl2_40 ),
inference(resolution,[],[f374,f178]) ).
fof(f374,plain,
( ! [X0,X1] :
( sP0(sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f4408,plain,
( spl2_260
| ~ spl2_21
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f385,f373,f173,f4406]) ).
fof(f385,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) )
| ~ spl2_21
| ~ spl2_40 ),
inference(resolution,[],[f374,f174]) ).
fof(f4366,plain,
( spl2_259
| ~ spl2_4
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f1799,f1777,f92,f4363]) ).
fof(f1799,plain,
( smndt0(xv) = sdtpldt0(smndt0(xv),sz0z00)
| ~ spl2_4
| ~ spl2_145 ),
inference(resolution,[],[f1778,f94]) ).
fof(f4264,plain,
( spl2_258
| ~ spl2_6
| ~ spl2_17
| ~ spl2_38
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f949,f893,f346,f156,f102,f4262]) ).
fof(f4262,plain,
( spl2_258
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_258])]) ).
fof(f346,plain,
( spl2_38
<=> sP0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
fof(f949,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_17
| ~ spl2_38
| ~ spl2_86 ),
inference(forward_demodulation,[],[f941,f352]) ).
fof(f352,plain,
( sz0z00 = sdtasdt0(sz0z00,sz0z00)
| ~ spl2_17
| ~ spl2_38 ),
inference(resolution,[],[f348,f157]) ).
fof(f348,plain,
( sP0(sz0z00)
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f941,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_86 ),
inference(resolution,[],[f894,f104]) ).
fof(f4260,plain,
( spl2_257
| ~ spl2_6
| ~ spl2_15
| ~ spl2_38
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f936,f889,f346,f148,f102,f4258]) ).
fof(f4258,plain,
( spl2_257
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_257])]) ).
fof(f936,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_15
| ~ spl2_38
| ~ spl2_85 ),
inference(forward_demodulation,[],[f928,f350]) ).
fof(f350,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl2_15
| ~ spl2_38 ),
inference(resolution,[],[f348,f149]) ).
fof(f928,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz0z00,sz0z00)) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_85 ),
inference(resolution,[],[f890,f104]) ).
fof(f4256,plain,
( spl2_256
| ~ spl2_19
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f391,f377,f164,f4254]) ).
fof(f391,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = smndt0(smndt0(sdtpldt0(X0,X1))) )
| ~ spl2_19
| ~ spl2_41 ),
inference(resolution,[],[f378,f165]) ).
fof(f4252,plain,
( spl2_255
| ~ spl2_3
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f1798,f1777,f87,f4249]) ).
fof(f1798,plain,
( smndt0(xu) = sdtpldt0(smndt0(xu),sz0z00)
| ~ spl2_3
| ~ spl2_145 ),
inference(resolution,[],[f1778,f89]) ).
fof(f4247,plain,
( spl2_254
| ~ spl2_16
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f388,f377,f152,f4245]) ).
fof(f388,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ spl2_16
| ~ spl2_41 ),
inference(resolution,[],[f378,f153]) ).
fof(f4243,plain,
( spl2_253
| ~ spl2_15
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f387,f377,f148,f4241]) ).
fof(f4241,plain,
( spl2_253
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_253])]) ).
fof(f387,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X0,X1),sz0z00) )
| ~ spl2_15
| ~ spl2_41 ),
inference(resolution,[],[f378,f149]) ).
fof(f4239,plain,
( spl2_252
| ~ spl2_19
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f384,f373,f164,f4237]) ).
fof(f384,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = smndt0(smndt0(sdtasdt0(X0,X1))) )
| ~ spl2_19
| ~ spl2_40 ),
inference(resolution,[],[f374,f165]) ).
fof(f4235,plain,
( spl2_251
| ~ spl2_16
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f381,f373,f152,f4233]) ).
fof(f381,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ spl2_16
| ~ spl2_40 ),
inference(resolution,[],[f374,f153]) ).
fof(f4231,plain,
( spl2_250
| ~ spl2_15
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f380,f373,f148,f4229]) ).
fof(f380,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sz0z00) )
| ~ spl2_15
| ~ spl2_40 ),
inference(resolution,[],[f374,f149]) ).
fof(f4035,plain,
( spl2_249
| ~ spl2_2
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f1797,f1777,f82,f4032]) ).
fof(f1797,plain,
( smndt0(xy) = sdtpldt0(smndt0(xy),sz0z00)
| ~ spl2_2
| ~ spl2_145 ),
inference(resolution,[],[f1778,f84]) ).
fof(f3693,plain,
( spl2_248
| ~ spl2_1
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f1796,f1777,f77,f3690]) ).
fof(f1796,plain,
( smndt0(xx) = sdtpldt0(smndt0(xx),sz0z00)
| ~ spl2_1
| ~ spl2_145 ),
inference(resolution,[],[f1778,f79]) ).
fof(f3018,plain,
( spl2_247
| ~ spl2_4
| ~ spl2_17
| ~ spl2_31
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f953,f893,f238,f156,f92,f3016]) ).
fof(f238,plain,
( spl2_31
<=> sP0(xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f953,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_17
| ~ spl2_31
| ~ spl2_86 ),
inference(forward_demodulation,[],[f948,f340]) ).
fof(f340,plain,
( sz0z00 = sdtasdt0(xv,sz0z00)
| ~ spl2_17
| ~ spl2_31 ),
inference(resolution,[],[f240,f157]) ).
fof(f240,plain,
( sP0(xv)
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f948,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xv),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(xv,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_86 ),
inference(resolution,[],[f894,f94]) ).
fof(f3014,plain,
( spl2_246
| ~ spl2_3
| ~ spl2_17
| ~ spl2_26
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f952,f893,f194,f156,f87,f3012]) ).
fof(f194,plain,
( spl2_26
<=> sP0(xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
fof(f952,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_17
| ~ spl2_26
| ~ spl2_86 ),
inference(forward_demodulation,[],[f947,f333]) ).
fof(f333,plain,
( sz0z00 = sdtasdt0(xu,sz0z00)
| ~ spl2_17
| ~ spl2_26 ),
inference(resolution,[],[f196,f157]) ).
fof(f196,plain,
( sP0(xu)
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f947,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xu),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(xu,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_86 ),
inference(resolution,[],[f894,f89]) ).
fof(f3010,plain,
( spl2_245
| ~ spl2_2
| ~ spl2_17
| ~ spl2_20
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f951,f893,f168,f156,f82,f3008]) ).
fof(f168,plain,
( spl2_20
<=> sP0(xy) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).
fof(f951,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_17
| ~ spl2_20
| ~ spl2_86 ),
inference(forward_demodulation,[],[f946,f326]) ).
fof(f326,plain,
( sz0z00 = sdtasdt0(xy,sz0z00)
| ~ spl2_17
| ~ spl2_20 ),
inference(resolution,[],[f170,f157]) ).
fof(f170,plain,
( sP0(xy)
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f946,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xy),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(xy,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_86 ),
inference(resolution,[],[f894,f84]) ).
fof(f3006,plain,
( spl2_244
| ~ spl2_1
| ~ spl2_57
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f950,f893,f575,f77,f3004]) ).
fof(f950,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_57
| ~ spl2_86 ),
inference(forward_demodulation,[],[f945,f577]) ).
fof(f945,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(xx,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_86 ),
inference(resolution,[],[f894,f79]) ).
fof(f3002,plain,
( spl2_243
| ~ spl2_4
| ~ spl2_15
| ~ spl2_31
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f940,f889,f238,f148,f92,f3000]) ).
fof(f3000,plain,
( spl2_243
<=> ! [X0] :
( sdtasdt0(X0,xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_243])]) ).
fof(f940,plain,
( ! [X0] :
( sdtasdt0(X0,xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_15
| ~ spl2_31
| ~ spl2_85 ),
inference(forward_demodulation,[],[f935,f338]) ).
fof(f338,plain,
( xv = sdtpldt0(xv,sz0z00)
| ~ spl2_15
| ~ spl2_31 ),
inference(resolution,[],[f240,f149]) ).
fof(f935,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xv,sz0z00)) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_85 ),
inference(resolution,[],[f890,f94]) ).
fof(f2998,plain,
( spl2_242
| ~ spl2_3
| ~ spl2_15
| ~ spl2_26
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f939,f889,f194,f148,f87,f2996]) ).
fof(f2996,plain,
( spl2_242
<=> ! [X0] :
( sdtasdt0(X0,xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_242])]) ).
fof(f939,plain,
( ! [X0] :
( sdtasdt0(X0,xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_15
| ~ spl2_26
| ~ spl2_85 ),
inference(forward_demodulation,[],[f934,f331]) ).
fof(f331,plain,
( xu = sdtpldt0(xu,sz0z00)
| ~ spl2_15
| ~ spl2_26 ),
inference(resolution,[],[f196,f149]) ).
fof(f934,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xu,sz0z00)) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_85 ),
inference(resolution,[],[f890,f89]) ).
fof(f2994,plain,
( spl2_241
| ~ spl2_2
| ~ spl2_79
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f938,f889,f779,f82,f2992]) ).
fof(f2992,plain,
( spl2_241
<=> ! [X0] :
( sdtasdt0(X0,xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_241])]) ).
fof(f938,plain,
( ! [X0] :
( sdtasdt0(X0,xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_79
| ~ spl2_85 ),
inference(forward_demodulation,[],[f933,f781]) ).
fof(f933,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xy,sz0z00)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_85 ),
inference(resolution,[],[f890,f84]) ).
fof(f2988,plain,
( spl2_240
| ~ spl2_1
| ~ spl2_48
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f937,f889,f420,f77,f2986]) ).
fof(f2986,plain,
( spl2_240
<=> ! [X0] :
( sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_240])]) ).
fof(f937,plain,
( ! [X0] :
( sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_48
| ~ spl2_85 ),
inference(forward_demodulation,[],[f932,f422]) ).
fof(f932,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,sz0z00)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_85 ),
inference(resolution,[],[f890,f79]) ).
fof(f2984,plain,
( spl2_239
| ~ spl2_6
| ~ spl2_18
| ~ spl2_31
| ~ spl2_78 ),
inference(avatar_split_clause,[],[f866,f775,f238,f160,f102,f2982]) ).
fof(f866,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xv) = sdtpldt0(sdtasdt0(X0,xv),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_18
| ~ spl2_31
| ~ spl2_78 ),
inference(forward_demodulation,[],[f858,f341]) ).
fof(f341,plain,
( sz0z00 = sdtasdt0(sz0z00,xv)
| ~ spl2_18
| ~ spl2_31 ),
inference(resolution,[],[f240,f161]) ).
fof(f858,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(sz0z00,xv))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_78 ),
inference(resolution,[],[f776,f104]) ).
fof(f2980,plain,
( spl2_238
| ~ spl2_6
| ~ spl2_18
| ~ spl2_26
| ~ spl2_77 ),
inference(avatar_split_clause,[],[f856,f771,f194,f160,f102,f2978]) ).
fof(f856,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xu) = sdtpldt0(sdtasdt0(X0,xu),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_18
| ~ spl2_26
| ~ spl2_77 ),
inference(forward_demodulation,[],[f848,f334]) ).
fof(f334,plain,
( sz0z00 = sdtasdt0(sz0z00,xu)
| ~ spl2_18
| ~ spl2_26 ),
inference(resolution,[],[f196,f161]) ).
fof(f848,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(sz0z00,xu))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_77 ),
inference(resolution,[],[f772,f104]) ).
fof(f2976,plain,
( spl2_237
| ~ spl2_6
| ~ spl2_18
| ~ spl2_20
| ~ spl2_76 ),
inference(avatar_split_clause,[],[f845,f767,f168,f160,f102,f2974]) ).
fof(f845,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xy) = sdtpldt0(sdtasdt0(X0,xy),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_18
| ~ spl2_20
| ~ spl2_76 ),
inference(forward_demodulation,[],[f837,f327]) ).
fof(f327,plain,
( sz0z00 = sdtasdt0(sz0z00,xy)
| ~ spl2_18
| ~ spl2_20 ),
inference(resolution,[],[f170,f161]) ).
fof(f837,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(sz0z00,xy))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_76 ),
inference(resolution,[],[f768,f104]) ).
fof(f2972,plain,
( spl2_236
| ~ spl2_6
| ~ spl2_66
| ~ spl2_75 ),
inference(avatar_split_clause,[],[f833,f763,f635,f102,f2970]) ).
fof(f833,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xx) = sdtpldt0(sdtasdt0(X0,xx),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_66
| ~ spl2_75 ),
inference(forward_demodulation,[],[f825,f637]) ).
fof(f825,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz0z00),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sz0z00,xx))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_75 ),
inference(resolution,[],[f764,f104]) ).
fof(f2968,plain,
( spl2_235
| ~ spl2_6
| ~ spl2_16
| ~ spl2_31
| ~ spl2_74 ),
inference(avatar_split_clause,[],[f824,f759,f238,f152,f102,f2966]) ).
fof(f824,plain,
( ! [X0] :
( sdtasdt0(X0,xv) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_16
| ~ spl2_31
| ~ spl2_74 ),
inference(forward_demodulation,[],[f816,f339]) ).
fof(f339,plain,
( xv = sdtpldt0(sz0z00,xv)
| ~ spl2_16
| ~ spl2_31 ),
inference(resolution,[],[f240,f153]) ).
fof(f816,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz0z00,xv)) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xv))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_74 ),
inference(resolution,[],[f760,f104]) ).
fof(f2964,plain,
( spl2_234
| ~ spl2_6
| ~ spl2_16
| ~ spl2_26
| ~ spl2_73 ),
inference(avatar_split_clause,[],[f814,f755,f194,f152,f102,f2962]) ).
fof(f814,plain,
( ! [X0] :
( sdtasdt0(X0,xu) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_16
| ~ spl2_26
| ~ spl2_73 ),
inference(forward_demodulation,[],[f806,f332]) ).
fof(f332,plain,
( xu = sdtpldt0(sz0z00,xu)
| ~ spl2_16
| ~ spl2_26 ),
inference(resolution,[],[f196,f153]) ).
fof(f806,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz0z00,xu)) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xu))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_73 ),
inference(resolution,[],[f756,f104]) ).
fof(f2960,plain,
( spl2_233
| ~ spl2_6
| ~ spl2_16
| ~ spl2_20
| ~ spl2_72 ),
inference(avatar_split_clause,[],[f803,f751,f168,f152,f102,f2958]) ).
fof(f803,plain,
( ! [X0] :
( sdtasdt0(X0,xy) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_16
| ~ spl2_20
| ~ spl2_72 ),
inference(forward_demodulation,[],[f795,f325]) ).
fof(f325,plain,
( xy = sdtpldt0(sz0z00,xy)
| ~ spl2_16
| ~ spl2_20 ),
inference(resolution,[],[f170,f153]) ).
fof(f795,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz0z00,xy)) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xy))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_72 ),
inference(resolution,[],[f752,f104]) ).
fof(f2956,plain,
( spl2_232
| ~ spl2_6
| ~ spl2_51
| ~ spl2_71 ),
inference(avatar_split_clause,[],[f791,f747,f505,f102,f2954]) ).
fof(f791,plain,
( ! [X0] :
( sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_51
| ~ spl2_71 ),
inference(forward_demodulation,[],[f783,f507]) ).
fof(f783,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz0z00,xx)) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X0,xx))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_71 ),
inference(resolution,[],[f748,f104]) ).
fof(f2952,plain,
( spl2_231
| ~ spl2_4
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f698,f608,f92,f2950]) ).
fof(f698,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xv) = sdtasdt0(X0,sdtasdt0(xv,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_65 ),
inference(resolution,[],[f609,f94]) ).
fof(f2946,plain,
( spl2_230
| ~ spl2_3
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f697,f608,f87,f2944]) ).
fof(f697,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xu,xv)) = sdtasdt0(sdtasdt0(X0,xu),xv)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_65 ),
inference(resolution,[],[f609,f89]) ).
fof(f2942,plain,
( spl2_229
| ~ spl2_2
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f696,f608,f82,f2940]) ).
fof(f696,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,xv)) = sdtasdt0(sdtasdt0(X0,xy),xv)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_65 ),
inference(resolution,[],[f609,f84]) ).
fof(f2938,plain,
( spl2_228
| ~ spl2_1
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f695,f608,f77,f2936]) ).
fof(f695,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xv)) = sdtasdt0(sdtasdt0(X0,xx),xv)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_65 ),
inference(resolution,[],[f609,f79]) ).
fof(f2934,plain,
( spl2_227
| ~ spl2_4
| ~ spl2_49
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f690,f604,f425,f92,f2932]) ).
fof(f690,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xu) = sdtasdt0(X0,sdtasdt0(xu,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_49
| ~ spl2_64 ),
inference(forward_demodulation,[],[f688,f493]) ).
fof(f688,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xu) = sdtasdt0(X0,sdtasdt0(xv,xu))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_64 ),
inference(resolution,[],[f605,f94]) ).
fof(f2930,plain,
( spl2_226
| ~ spl2_3
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f687,f604,f87,f2928]) ).
fof(f687,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xu) = sdtasdt0(X0,sdtasdt0(xu,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_64 ),
inference(resolution,[],[f605,f89]) ).
fof(f2926,plain,
( spl2_225
| ~ spl2_2
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f686,f604,f82,f2924]) ).
fof(f686,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xy,xu)) = sdtasdt0(sdtasdt0(X0,xy),xu)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_64 ),
inference(resolution,[],[f605,f84]) ).
fof(f2922,plain,
( spl2_224
| ~ spl2_1
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f685,f604,f77,f2920]) ).
fof(f685,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xu)) = sdtasdt0(sdtasdt0(X0,xx),xu)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_64 ),
inference(resolution,[],[f605,f79]) ).
fof(f2918,plain,
( spl2_223
| ~ spl2_4
| ~ spl2_47
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f680,f600,f416,f92,f2916]) ).
fof(f680,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xy) = sdtasdt0(X0,sdtasdt0(xy,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_47
| ~ spl2_63 ),
inference(forward_demodulation,[],[f677,f484]) ).
fof(f677,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xy) = sdtasdt0(X0,sdtasdt0(xv,xy))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_63 ),
inference(resolution,[],[f601,f94]) ).
fof(f2914,plain,
( spl2_222
| ~ spl2_3
| ~ spl2_47
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f679,f600,f416,f87,f2912]) ).
fof(f679,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xy) = sdtasdt0(X0,sdtasdt0(xy,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_47
| ~ spl2_63 ),
inference(forward_demodulation,[],[f676,f483]) ).
fof(f676,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xy) = sdtasdt0(X0,sdtasdt0(xu,xy))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_63 ),
inference(resolution,[],[f601,f89]) ).
fof(f2910,plain,
( spl2_221
| ~ spl2_2
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f675,f600,f82,f2908]) ).
fof(f675,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xy) = sdtasdt0(X0,sdtasdt0(xy,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_63 ),
inference(resolution,[],[f601,f84]) ).
fof(f2904,plain,
( spl2_220
| ~ spl2_1
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f674,f600,f77,f2902]) ).
fof(f674,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xy)) = sdtasdt0(sdtasdt0(X0,xx),xy)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_63 ),
inference(resolution,[],[f601,f79]) ).
fof(f2900,plain,
( spl2_219
| ~ spl2_4
| ~ spl2_46
| ~ spl2_62 ),
inference(avatar_split_clause,[],[f669,f596,f412,f92,f2898]) ).
fof(f669,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xx) = sdtasdt0(X0,sdtasdt0(xx,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_46
| ~ spl2_62 ),
inference(forward_demodulation,[],[f665,f475]) ).
fof(f665,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),xx) = sdtasdt0(X0,sdtasdt0(xv,xx))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_62 ),
inference(resolution,[],[f597,f94]) ).
fof(f2896,plain,
( spl2_218
| ~ spl2_3
| ~ spl2_46
| ~ spl2_62 ),
inference(avatar_split_clause,[],[f668,f596,f412,f87,f2894]) ).
fof(f668,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xx) = sdtasdt0(X0,sdtasdt0(xx,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_46
| ~ spl2_62 ),
inference(forward_demodulation,[],[f664,f474]) ).
fof(f664,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),xx) = sdtasdt0(X0,sdtasdt0(xu,xx))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_62 ),
inference(resolution,[],[f597,f89]) ).
fof(f2892,plain,
( spl2_217
| ~ spl2_2
| ~ spl2_46
| ~ spl2_62 ),
inference(avatar_split_clause,[],[f667,f596,f412,f82,f2890]) ).
fof(f667,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xx) = sdtasdt0(X0,sdtasdt0(xx,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_46
| ~ spl2_62 ),
inference(forward_demodulation,[],[f663,f473]) ).
fof(f663,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),xx) = sdtasdt0(X0,sdtasdt0(xy,xx))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_62 ),
inference(resolution,[],[f597,f84]) ).
fof(f2888,plain,
( spl2_216
| ~ spl2_1
| ~ spl2_62 ),
inference(avatar_split_clause,[],[f662,f596,f77,f2886]) ).
fof(f662,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(X0,sdtasdt0(xx,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_62 ),
inference(resolution,[],[f597,f79]) ).
fof(f2884,plain,
( spl2_215
| ~ spl2_4
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f656,f592,f92,f2882]) ).
fof(f656,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xv) = sdtpldt0(X0,sdtpldt0(xv,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_61 ),
inference(resolution,[],[f593,f94]) ).
fof(f2880,plain,
( spl2_214
| ~ spl2_3
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f655,f592,f87,f2878]) ).
fof(f655,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(X0,xu),xv)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_61 ),
inference(resolution,[],[f593,f89]) ).
fof(f2876,plain,
( spl2_213
| ~ spl2_2
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f654,f592,f82,f2874]) ).
fof(f654,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xy,xv)) = sdtpldt0(sdtpldt0(X0,xy),xv)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_61 ),
inference(resolution,[],[f593,f84]) ).
fof(f2872,plain,
( spl2_212
| ~ spl2_1
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f653,f592,f77,f2870]) ).
fof(f653,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xv)) = sdtpldt0(sdtpldt0(X0,xx),xv)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_61 ),
inference(resolution,[],[f593,f79]) ).
fof(f2868,plain,
( spl2_211
| ~ spl2_4
| ~ spl2_44
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f648,f588,f404,f92,f2866]) ).
fof(f648,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xu) = sdtpldt0(X0,sdtpldt0(xu,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_44
| ~ spl2_60 ),
inference(forward_demodulation,[],[f646,f457]) ).
fof(f646,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xu) = sdtpldt0(X0,sdtpldt0(xv,xu))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_60 ),
inference(resolution,[],[f589,f94]) ).
fof(f2862,plain,
( spl2_210
| ~ spl2_3
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f645,f588,f87,f2860]) ).
fof(f645,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xu) = sdtpldt0(X0,sdtpldt0(xu,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_60 ),
inference(resolution,[],[f589,f89]) ).
fof(f2858,plain,
( spl2_209
| ~ spl2_2
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f644,f588,f82,f2856]) ).
fof(f644,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xy,xu)) = sdtpldt0(sdtpldt0(X0,xy),xu)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_60 ),
inference(resolution,[],[f589,f84]) ).
fof(f2854,plain,
( spl2_208
| ~ spl2_1
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f643,f588,f77,f2852]) ).
fof(f643,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xu)) = sdtpldt0(sdtpldt0(X0,xx),xu)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_60 ),
inference(resolution,[],[f589,f79]) ).
fof(f2850,plain,
( spl2_207
| ~ spl2_4
| ~ spl2_43
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f633,f584,f400,f92,f2848]) ).
fof(f633,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xy) = sdtpldt0(X0,sdtpldt0(xy,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_43
| ~ spl2_59 ),
inference(forward_demodulation,[],[f630,f448]) ).
fof(f630,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xy) = sdtpldt0(X0,sdtpldt0(xv,xy))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_59 ),
inference(resolution,[],[f585,f94]) ).
fof(f2846,plain,
( spl2_206
| ~ spl2_3
| ~ spl2_43
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f632,f584,f400,f87,f2844]) ).
fof(f632,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xy) = sdtpldt0(X0,sdtpldt0(xy,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_43
| ~ spl2_59 ),
inference(forward_demodulation,[],[f629,f447]) ).
fof(f629,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xy) = sdtpldt0(X0,sdtpldt0(xu,xy))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_59 ),
inference(resolution,[],[f585,f89]) ).
fof(f2842,plain,
( spl2_205
| ~ spl2_2
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f628,f584,f82,f2840]) ).
fof(f628,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xy) = sdtpldt0(X0,sdtpldt0(xy,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_59 ),
inference(resolution,[],[f585,f84]) ).
fof(f2838,plain,
( spl2_204
| ~ spl2_1
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f627,f584,f77,f2836]) ).
fof(f627,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xy)) = sdtpldt0(sdtpldt0(X0,xx),xy)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_59 ),
inference(resolution,[],[f585,f79]) ).
fof(f2834,plain,
( spl2_203
| ~ spl2_4
| ~ spl2_42
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f622,f580,f396,f92,f2832]) ).
fof(f622,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xx) = sdtpldt0(X0,sdtpldt0(xx,xv))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_42
| ~ spl2_58 ),
inference(forward_demodulation,[],[f618,f439]) ).
fof(f618,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),xx) = sdtpldt0(X0,sdtpldt0(xv,xx))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_58 ),
inference(resolution,[],[f581,f94]) ).
fof(f2830,plain,
( spl2_202
| ~ spl2_3
| ~ spl2_42
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f621,f580,f396,f87,f2828]) ).
fof(f621,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xx) = sdtpldt0(X0,sdtpldt0(xx,xu))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_42
| ~ spl2_58 ),
inference(forward_demodulation,[],[f617,f438]) ).
fof(f617,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),xx) = sdtpldt0(X0,sdtpldt0(xu,xx))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_58 ),
inference(resolution,[],[f581,f89]) ).
fof(f2826,plain,
( spl2_201
| ~ spl2_2
| ~ spl2_42
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f620,f580,f396,f82,f2824]) ).
fof(f620,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xx) = sdtpldt0(X0,sdtpldt0(xx,xy))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_42
| ~ spl2_58 ),
inference(forward_demodulation,[],[f616,f437]) ).
fof(f616,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),xx) = sdtpldt0(X0,sdtpldt0(xy,xx))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_58 ),
inference(resolution,[],[f581,f84]) ).
fof(f2820,plain,
( spl2_200
| ~ spl2_1
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f615,f580,f77,f2818]) ).
fof(f615,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(X0,sdtpldt0(xx,xx))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_58 ),
inference(resolution,[],[f581,f79]) ).
fof(f2686,plain,
( ~ spl2_5
| ~ spl2_11
| ~ spl2_196 ),
inference(avatar_split_clause,[],[f2664,f2652,f130,f97]) ).
fof(f130,plain,
( spl2_11
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f2664,plain,
( ~ aNaturalNumber0(sz00)
| ~ spl2_11
| ~ spl2_196 ),
inference(trivial_inequality_removal,[],[f2662]) ).
fof(f2662,plain,
( sz00 != sz00
| ~ aNaturalNumber0(sz00)
| ~ spl2_11
| ~ spl2_196 ),
inference(superposition,[],[f131,f2654]) ).
fof(f2654,plain,
( sz00 = szszuzczcdt0(sz00)
| ~ spl2_196 ),
inference(avatar_component_clause,[],[f2652]) ).
fof(f131,plain,
( ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f2673,plain,
( spl2_199
| ~ spl2_6
| ~ spl2_17
| ~ spl2_38
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f729,f705,f346,f156,f102,f2671]) ).
fof(f2671,plain,
( spl2_199
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_199])]) ).
fof(f729,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_17
| ~ spl2_38
| ~ spl2_68 ),
inference(forward_demodulation,[],[f721,f352]) ).
fof(f721,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),sz0z00) = sdtasdt0(X0,sdtasdt0(sz0z00,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_68 ),
inference(resolution,[],[f706,f104]) ).
fof(f2669,plain,
( spl2_198
| ~ spl2_6
| ~ spl2_15
| ~ spl2_38
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f716,f701,f346,f148,f102,f2667]) ).
fof(f2667,plain,
( spl2_198
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_198])]) ).
fof(f716,plain,
( ! [X0] :
( sdtpldt0(X0,sz0z00) = sdtpldt0(sdtpldt0(X0,sz0z00),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_15
| ~ spl2_38
| ~ spl2_67 ),
inference(forward_demodulation,[],[f708,f350]) ).
fof(f708,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),sz0z00) = sdtpldt0(X0,sdtpldt0(sz0z00,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_67 ),
inference(resolution,[],[f702,f104]) ).
fof(f2659,plain,
( spl2_196
| spl2_197
| ~ spl2_5
| ~ spl2_54 ),
inference(avatar_split_clause,[],[f553,f542,f97,f2656,f2652]) ).
fof(f553,plain,
( szszuzczcdt0(sz00) = szszuzczcdt0(sK1(szszuzczcdt0(sz00)))
| sz00 = szszuzczcdt0(sz00)
| ~ spl2_5
| ~ spl2_54 ),
inference(resolution,[],[f543,f99]) ).
fof(f99,plain,
( aNaturalNumber0(sz00)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f2650,plain,
( spl2_195
| ~ spl2_9
| ~ spl2_53 ),
inference(avatar_split_clause,[],[f532,f514,f120,f2648]) ).
fof(f2648,plain,
( spl2_195
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_195])]) ).
fof(f532,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = sdtasdt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_53 ),
inference(resolution,[],[f515,f121]) ).
fof(f2646,plain,
( spl2_194
| ~ spl2_9
| ~ spl2_52 ),
inference(avatar_split_clause,[],[f520,f510,f120,f2644]) ).
fof(f2644,plain,
( spl2_194
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz0z00) = sdtpldt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_194])]) ).
fof(f520,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz0z00) = sdtpldt0(sz0z00,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_52 ),
inference(resolution,[],[f511,f121]) ).
fof(f2642,plain,
( spl2_193
| ~ spl2_18
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f390,f377,f160,f2640]) ).
fof(f390,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ spl2_18
| ~ spl2_41 ),
inference(resolution,[],[f378,f161]) ).
fof(f2638,plain,
( spl2_192
| ~ spl2_17
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f389,f377,f156,f2636]) ).
fof(f389,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtpldt0(X0,X1),sz0z00) )
| ~ spl2_17
| ~ spl2_41 ),
inference(resolution,[],[f378,f157]) ).
fof(f2634,plain,
( spl2_191
| ~ spl2_4
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1774,f1747,f92,f2631]) ).
fof(f2631,plain,
( spl2_191
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_191])]) ).
fof(f1774,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xv))
| ~ spl2_4
| ~ spl2_144 ),
inference(resolution,[],[f1748,f94]) ).
fof(f2629,plain,
( spl2_190
| ~ spl2_18
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f383,f373,f160,f2627]) ).
fof(f383,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ spl2_18
| ~ spl2_40 ),
inference(resolution,[],[f374,f161]) ).
fof(f2625,plain,
( spl2_189
| ~ spl2_17
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f382,f373,f156,f2623]) ).
fof(f382,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(sdtasdt0(X0,X1),sz0z00) )
| ~ spl2_17
| ~ spl2_40 ),
inference(resolution,[],[f374,f157]) ).
fof(f2430,plain,
( spl2_188
| ~ spl2_3
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1773,f1747,f87,f2427]) ).
fof(f2427,plain,
( spl2_188
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_188])]) ).
fof(f1773,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xu))
| ~ spl2_3
| ~ spl2_144 ),
inference(resolution,[],[f1748,f89]) ).
fof(f2235,plain,
( spl2_187
| ~ spl2_2
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1772,f1747,f82,f2232]) ).
fof(f2232,plain,
( spl2_187
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_187])]) ).
fof(f1772,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xy))
| ~ spl2_2
| ~ spl2_144 ),
inference(resolution,[],[f1748,f84]) ).
fof(f2092,plain,
( spl2_186
| ~ spl2_1
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f1771,f1747,f77,f2089]) ).
fof(f2089,plain,
( spl2_186
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_186])]) ).
fof(f1771,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xx))
| ~ spl2_1
| ~ spl2_144 ),
inference(resolution,[],[f1748,f79]) ).
fof(f2027,plain,
( spl2_185
| ~ spl2_4
| ~ spl2_17
| ~ spl2_31
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f733,f705,f238,f156,f92,f2025]) ).
fof(f733,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xv),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_17
| ~ spl2_31
| ~ spl2_68 ),
inference(forward_demodulation,[],[f728,f340]) ).
fof(f728,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xv),sz0z00) = sdtasdt0(X0,sdtasdt0(xv,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_68 ),
inference(resolution,[],[f706,f94]) ).
fof(f2023,plain,
( spl2_184
| ~ spl2_3
| ~ spl2_17
| ~ spl2_26
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f732,f705,f194,f156,f87,f2021]) ).
fof(f732,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xu),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_17
| ~ spl2_26
| ~ spl2_68 ),
inference(forward_demodulation,[],[f727,f333]) ).
fof(f727,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xu),sz0z00) = sdtasdt0(X0,sdtasdt0(xu,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_68 ),
inference(resolution,[],[f706,f89]) ).
fof(f2019,plain,
( spl2_183
| ~ spl2_2
| ~ spl2_17
| ~ spl2_20
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f731,f705,f168,f156,f82,f2017]) ).
fof(f731,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xy),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_17
| ~ spl2_20
| ~ spl2_68 ),
inference(forward_demodulation,[],[f726,f326]) ).
fof(f726,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xy),sz0z00) = sdtasdt0(X0,sdtasdt0(xy,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_68 ),
inference(resolution,[],[f706,f84]) ).
fof(f2015,plain,
( spl2_182
| ~ spl2_1
| ~ spl2_57
| ~ spl2_68 ),
inference(avatar_split_clause,[],[f730,f705,f575,f77,f2013]) ).
fof(f730,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,xx),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_57
| ~ spl2_68 ),
inference(forward_demodulation,[],[f725,f577]) ).
fof(f725,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),sz0z00) = sdtasdt0(X0,sdtasdt0(xx,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_68 ),
inference(resolution,[],[f706,f79]) ).
fof(f2011,plain,
( spl2_181
| ~ spl2_4
| ~ spl2_15
| ~ spl2_31
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f720,f701,f238,f148,f92,f2009]) ).
fof(f720,plain,
( ! [X0] :
( sdtpldt0(X0,xv) = sdtpldt0(sdtpldt0(X0,xv),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_15
| ~ spl2_31
| ~ spl2_67 ),
inference(forward_demodulation,[],[f715,f338]) ).
fof(f715,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xv),sz0z00) = sdtpldt0(X0,sdtpldt0(xv,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_67 ),
inference(resolution,[],[f702,f94]) ).
fof(f2007,plain,
( spl2_180
| ~ spl2_3
| ~ spl2_15
| ~ spl2_26
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f719,f701,f194,f148,f87,f2005]) ).
fof(f719,plain,
( ! [X0] :
( sdtpldt0(X0,xu) = sdtpldt0(sdtpldt0(X0,xu),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_15
| ~ spl2_26
| ~ spl2_67 ),
inference(forward_demodulation,[],[f714,f331]) ).
fof(f714,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xu),sz0z00) = sdtpldt0(X0,sdtpldt0(xu,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_67 ),
inference(resolution,[],[f702,f89]) ).
fof(f2003,plain,
( spl2_179
| ~ spl2_4
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1761,f1743,f92,f2000]) ).
fof(f1761,plain,
( sz0z00 = sdtasdt0(smndt0(xv),sz0z00)
| ~ spl2_4
| ~ spl2_143 ),
inference(resolution,[],[f1744,f94]) ).
fof(f1998,plain,
( spl2_178
| ~ spl2_2
| ~ spl2_15
| ~ spl2_20
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f718,f701,f168,f148,f82,f1996]) ).
fof(f718,plain,
( ! [X0] :
( sdtpldt0(X0,xy) = sdtpldt0(sdtpldt0(X0,xy),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_15
| ~ spl2_20
| ~ spl2_67 ),
inference(forward_demodulation,[],[f713,f324]) ).
fof(f324,plain,
( xy = sdtpldt0(xy,sz0z00)
| ~ spl2_15
| ~ spl2_20 ),
inference(resolution,[],[f170,f149]) ).
fof(f713,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xy),sz0z00) = sdtpldt0(X0,sdtpldt0(xy,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_67 ),
inference(resolution,[],[f702,f84]) ).
fof(f1994,plain,
( spl2_177
| ~ spl2_1
| ~ spl2_48
| ~ spl2_67 ),
inference(avatar_split_clause,[],[f717,f701,f420,f77,f1992]) ).
fof(f717,plain,
( ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,xx),sz0z00)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_48
| ~ spl2_67 ),
inference(forward_demodulation,[],[f712,f422]) ).
fof(f712,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sz0z00) = sdtpldt0(X0,sdtpldt0(xx,sz0z00))
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_67 ),
inference(resolution,[],[f702,f79]) ).
fof(f1990,plain,
( spl2_176
| ~ spl2_6
| ~ spl2_18
| ~ spl2_31
| ~ spl2_65 ),
inference(avatar_split_clause,[],[f699,f608,f238,f160,f102,f1988]) ).
fof(f699,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xv)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_18
| ~ spl2_31
| ~ spl2_65 ),
inference(forward_demodulation,[],[f691,f341]) ).
fof(f691,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xv) = sdtasdt0(X0,sdtasdt0(sz0z00,xv))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_65 ),
inference(resolution,[],[f609,f104]) ).
fof(f1986,plain,
( spl2_175
| ~ spl2_6
| ~ spl2_18
| ~ spl2_26
| ~ spl2_64 ),
inference(avatar_split_clause,[],[f689,f604,f194,f160,f102,f1984]) ).
fof(f689,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xu)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_18
| ~ spl2_26
| ~ spl2_64 ),
inference(forward_demodulation,[],[f681,f334]) ).
fof(f681,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xu) = sdtasdt0(X0,sdtasdt0(sz0z00,xu))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_64 ),
inference(resolution,[],[f605,f104]) ).
fof(f1982,plain,
( spl2_174
| ~ spl2_6
| ~ spl2_18
| ~ spl2_20
| ~ spl2_63 ),
inference(avatar_split_clause,[],[f678,f600,f168,f160,f102,f1980]) ).
fof(f678,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xy)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_18
| ~ spl2_20
| ~ spl2_63 ),
inference(forward_demodulation,[],[f670,f327]) ).
fof(f670,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xy) = sdtasdt0(X0,sdtasdt0(sz0z00,xy))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_63 ),
inference(resolution,[],[f601,f104]) ).
fof(f1978,plain,
( spl2_173
| ~ spl2_6
| ~ spl2_62
| ~ spl2_66 ),
inference(avatar_split_clause,[],[f666,f635,f596,f102,f1976]) ).
fof(f666,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(sdtasdt0(X0,sz0z00),xx)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_62
| ~ spl2_66 ),
inference(forward_demodulation,[],[f658,f637]) ).
fof(f658,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz0z00),xx) = sdtasdt0(X0,sdtasdt0(sz0z00,xx))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_62 ),
inference(resolution,[],[f597,f104]) ).
fof(f1974,plain,
( spl2_172
| ~ spl2_6
| ~ spl2_16
| ~ spl2_31
| ~ spl2_61 ),
inference(avatar_split_clause,[],[f657,f592,f238,f152,f102,f1972]) ).
fof(f657,plain,
( ! [X0] :
( sdtpldt0(X0,xv) = sdtpldt0(sdtpldt0(X0,sz0z00),xv)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_16
| ~ spl2_31
| ~ spl2_61 ),
inference(forward_demodulation,[],[f649,f339]) ).
fof(f649,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xv) = sdtpldt0(X0,sdtpldt0(sz0z00,xv))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_61 ),
inference(resolution,[],[f593,f104]) ).
fof(f1970,plain,
( spl2_171
| ~ spl2_6
| ~ spl2_16
| ~ spl2_26
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f647,f588,f194,f152,f102,f1968]) ).
fof(f647,plain,
( ! [X0] :
( sdtpldt0(X0,xu) = sdtpldt0(sdtpldt0(X0,sz0z00),xu)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_16
| ~ spl2_26
| ~ spl2_60 ),
inference(forward_demodulation,[],[f639,f332]) ).
fof(f639,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xu) = sdtpldt0(X0,sdtpldt0(sz0z00,xu))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_60 ),
inference(resolution,[],[f589,f104]) ).
fof(f1966,plain,
( spl2_170
| ~ spl2_6
| ~ spl2_16
| ~ spl2_20
| ~ spl2_59 ),
inference(avatar_split_clause,[],[f631,f584,f168,f152,f102,f1964]) ).
fof(f631,plain,
( ! [X0] :
( sdtpldt0(X0,xy) = sdtpldt0(sdtpldt0(X0,sz0z00),xy)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_16
| ~ spl2_20
| ~ spl2_59 ),
inference(forward_demodulation,[],[f623,f325]) ).
fof(f623,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xy) = sdtpldt0(X0,sdtpldt0(sz0z00,xy))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_59 ),
inference(resolution,[],[f585,f104]) ).
fof(f1962,plain,
( spl2_169
| ~ spl2_6
| ~ spl2_51
| ~ spl2_58 ),
inference(avatar_split_clause,[],[f619,f580,f505,f102,f1960]) ).
fof(f619,plain,
( ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,sz0z00),xx)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_51
| ~ spl2_58 ),
inference(forward_demodulation,[],[f611,f507]) ).
fof(f611,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz0z00),xx) = sdtpldt0(X0,sdtpldt0(sz0z00,xx))
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_58 ),
inference(resolution,[],[f581,f104]) ).
fof(f1958,plain,
( spl2_168
| ~ spl2_3
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1760,f1743,f87,f1955]) ).
fof(f1760,plain,
( sz0z00 = sdtasdt0(smndt0(xu),sz0z00)
| ~ spl2_3
| ~ spl2_143 ),
inference(resolution,[],[f1744,f89]) ).
fof(f1953,plain,
( spl2_167
| ~ spl2_4
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f572,f550,f92,f1951]) ).
fof(f572,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xv)) = sdtasdt0(smndt0(xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_56 ),
inference(resolution,[],[f551,f94]) ).
fof(f1949,plain,
( spl2_166
| ~ spl2_3
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f571,f550,f87,f1947]) ).
fof(f571,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xu)) = sdtasdt0(smndt0(xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_56 ),
inference(resolution,[],[f551,f89]) ).
fof(f1945,plain,
( spl2_165
| ~ spl2_2
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f570,f550,f82,f1943]) ).
fof(f570,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xy)) = sdtasdt0(smndt0(xy),X0)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_56 ),
inference(resolution,[],[f551,f84]) ).
fof(f1941,plain,
( spl2_164
| ~ spl2_1
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f569,f550,f77,f1939]) ).
fof(f569,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xx)) = sdtasdt0(smndt0(xx),X0)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_56 ),
inference(resolution,[],[f551,f79]) ).
fof(f1937,plain,
( spl2_163
| ~ spl2_4
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f563,f546,f92,f1935]) ).
fof(f563,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xv)) = sdtpldt0(smndt0(xv),X0)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_55 ),
inference(resolution,[],[f547,f94]) ).
fof(f1933,plain,
( spl2_162
| ~ spl2_3
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f562,f546,f87,f1931]) ).
fof(f562,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xu)) = sdtpldt0(smndt0(xu),X0)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_55 ),
inference(resolution,[],[f547,f89]) ).
fof(f1929,plain,
( spl2_161
| ~ spl2_2
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f561,f546,f82,f1927]) ).
fof(f561,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xy)) = sdtpldt0(smndt0(xy),X0)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_55 ),
inference(resolution,[],[f547,f84]) ).
fof(f1925,plain,
( spl2_160
| ~ spl2_1
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f560,f546,f77,f1923]) ).
fof(f560,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xx)) = sdtpldt0(smndt0(xx),X0)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_55 ),
inference(resolution,[],[f547,f79]) ).
fof(f1921,plain,
( spl2_159
| ~ spl2_9
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f498,f429,f120,f1919]) ).
fof(f498,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xv) = sdtasdt0(xv,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_50 ),
inference(resolution,[],[f430,f121]) ).
fof(f1917,plain,
( spl2_158
| ~ spl2_9
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f489,f425,f120,f1915]) ).
fof(f489,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xu) = sdtasdt0(xu,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_49 ),
inference(resolution,[],[f426,f121]) ).
fof(f1913,plain,
( spl2_157
| ~ spl2_2
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1759,f1743,f82,f1910]) ).
fof(f1759,plain,
( sz0z00 = sdtasdt0(smndt0(xy),sz0z00)
| ~ spl2_2
| ~ spl2_143 ),
inference(resolution,[],[f1744,f84]) ).
fof(f1908,plain,
( spl2_156
| ~ spl2_9
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f480,f416,f120,f1906]) ).
fof(f480,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xy) = sdtasdt0(xy,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_47 ),
inference(resolution,[],[f417,f121]) ).
fof(f1904,plain,
( spl2_155
| ~ spl2_9
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f471,f412,f120,f1902]) ).
fof(f471,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(xx,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_46 ),
inference(resolution,[],[f413,f121]) ).
fof(f1900,plain,
( spl2_154
| ~ spl2_9
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f462,f408,f120,f1898]) ).
fof(f462,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xv) = sdtpldt0(xv,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_45 ),
inference(resolution,[],[f409,f121]) ).
fof(f1896,plain,
( spl2_153
| ~ spl2_9
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f453,f404,f120,f1894]) ).
fof(f453,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xu) = sdtpldt0(xu,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_44 ),
inference(resolution,[],[f405,f121]) ).
fof(f1892,plain,
( spl2_152
| ~ spl2_9
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f444,f400,f120,f1890]) ).
fof(f444,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xy) = sdtpldt0(xy,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_43 ),
inference(resolution,[],[f401,f121]) ).
fof(f1888,plain,
( spl2_151
| ~ spl2_9
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f435,f396,f120,f1886]) ).
fof(f435,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(xx,smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_9
| ~ spl2_42 ),
inference(resolution,[],[f397,f121]) ).
fof(f1840,plain,
( spl2_150
| ~ spl2_22
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f370,f361,f177,f1838]) ).
fof(f361,plain,
( spl2_39
<=> ! [X0] :
( ~ aScalar0(X0)
| sP0(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).
fof(f370,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) )
| ~ spl2_22
| ~ spl2_39 ),
inference(resolution,[],[f362,f178]) ).
fof(f362,plain,
( ! [X0] :
( sP0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f1836,plain,
( spl2_149
| ~ spl2_21
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f369,f361,f173,f1834]) ).
fof(f369,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) )
| ~ spl2_21
| ~ spl2_39 ),
inference(resolution,[],[f362,f174]) ).
fof(f1832,plain,
( spl2_148
| ~ spl2_1
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f1758,f1743,f77,f1829]) ).
fof(f1758,plain,
( sz0z00 = sdtasdt0(smndt0(xx),sz0z00)
| ~ spl2_1
| ~ spl2_143 ),
inference(resolution,[],[f1744,f79]) ).
fof(f1787,plain,
( spl2_147
| ~ spl2_19
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f368,f361,f164,f1785]) ).
fof(f368,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = smndt0(smndt0(smndt0(X0))) )
| ~ spl2_19
| ~ spl2_39 ),
inference(resolution,[],[f362,f165]) ).
fof(f1783,plain,
( spl2_146
| ~ spl2_16
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f365,f361,f152,f1781]) ).
fof(f365,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(sz0z00,smndt0(X0)) )
| ~ spl2_16
| ~ spl2_39 ),
inference(resolution,[],[f362,f153]) ).
fof(f1779,plain,
( spl2_145
| ~ spl2_15
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f364,f361,f148,f1777]) ).
fof(f364,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz0z00) )
| ~ spl2_15
| ~ spl2_39 ),
inference(resolution,[],[f362,f149]) ).
fof(f1749,plain,
( spl2_144
| ~ spl2_18
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f367,f361,f160,f1747]) ).
fof(f367,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,smndt0(X0)) )
| ~ spl2_18
| ~ spl2_39 ),
inference(resolution,[],[f362,f161]) ).
fof(f1745,plain,
( spl2_143
| ~ spl2_17
| ~ spl2_39 ),
inference(avatar_split_clause,[],[f366,f361,f156,f1743]) ).
fof(f366,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl2_17
| ~ spl2_39 ),
inference(resolution,[],[f362,f157]) ).
fof(f1741,plain,
( spl2_142
| ~ spl2_17
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f1661,f1604,f156,f1738]) ).
fof(f1738,plain,
( spl2_142
<=> sz0z00 = sdtasdt0(sdtpldt0(xu,xv),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_142])]) ).
fof(f1661,plain,
( sz0z00 = sdtasdt0(sdtpldt0(xu,xv),sz0z00)
| ~ spl2_17
| ~ spl2_126 ),
inference(resolution,[],[f1606,f157]) ).
fof(f1729,plain,
( spl2_141
| ~ spl2_7
| ~ spl2_92 ),
inference(avatar_split_clause,[],[f1518,f994,f107,f1726]) ).
fof(f107,plain,
( spl2_7
<=> ! [X0] :
( sP0(X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f1518,plain,
( sP0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ spl2_7
| ~ spl2_92 ),
inference(resolution,[],[f996,f108]) ).
fof(f108,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP0(X0) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f1700,plain,
( spl2_140
| ~ spl2_4
| ~ spl2_49 ),
inference(avatar_split_clause,[],[f493,f425,f92,f1697]) ).
fof(f1695,plain,
( spl2_139
| ~ spl2_4
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f484,f416,f92,f1692]) ).
fof(f1690,plain,
( spl2_138
| ~ spl2_3
| ~ spl2_47 ),
inference(avatar_split_clause,[],[f483,f416,f87,f1687]) ).
fof(f1685,plain,
( spl2_137
| ~ spl2_4
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f475,f412,f92,f1682]) ).
fof(f1680,plain,
( spl2_136
| ~ spl2_3
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f474,f412,f87,f1677]) ).
fof(f1675,plain,
( spl2_135
| ~ spl2_2
| ~ spl2_46 ),
inference(avatar_split_clause,[],[f473,f412,f82,f1672]) ).
fof(f1670,plain,
( spl2_134
| ~ spl2_4
| ~ spl2_44 ),
inference(avatar_split_clause,[],[f457,f404,f92,f1667]) ).
fof(f1658,plain,
( spl2_133
| ~ spl2_4
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f448,f400,f92,f1655]) ).
fof(f1653,plain,
( spl2_132
| ~ spl2_3
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f447,f400,f87,f1650]) ).
fof(f1648,plain,
( spl2_131
| ~ spl2_4
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f439,f396,f92,f1645]) ).
fof(f1643,plain,
( spl2_130
| ~ spl2_3
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f438,f396,f87,f1640]) ).
fof(f1638,plain,
( spl2_129
| ~ spl2_2
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f437,f396,f82,f1635]) ).
fof(f1619,plain,
( spl2_128
| ~ spl2_7
| ~ spl2_91 ),
inference(avatar_split_clause,[],[f1443,f990,f107,f1616]) ).
fof(f1443,plain,
( sP0(sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_7
| ~ spl2_91 ),
inference(resolution,[],[f991,f108]) ).
fof(f1614,plain,
( spl2_127
| ~ spl2_7
| ~ spl2_90 ),
inference(avatar_split_clause,[],[f1292,f986,f107,f1611]) ).
fof(f1292,plain,
( sP0(sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_7
| ~ spl2_90 ),
inference(resolution,[],[f987,f108]) ).
fof(f1607,plain,
( spl2_126
| ~ spl2_7
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f1367,f1282,f107,f1604]) ).
fof(f1367,plain,
( sP0(sdtpldt0(xu,xv))
| ~ spl2_7
| ~ spl2_125 ),
inference(resolution,[],[f1283,f108]) ).
fof(f1442,plain,
( ~ spl2_2
| ~ spl2_125
| ~ spl2_24
| spl2_91 ),
inference(avatar_split_clause,[],[f999,f990,f185,f1282,f82]) ).
fof(f999,plain,
( ~ aScalar0(sdtpldt0(xu,xv))
| ~ aScalar0(xy)
| ~ spl2_24
| spl2_91 ),
inference(resolution,[],[f992,f186]) ).
fof(f992,plain,
( ~ aScalar0(sdtasdt0(xy,sdtpldt0(xu,xv)))
| spl2_91 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1291,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_25
| spl2_125 ),
inference(avatar_split_clause,[],[f1286,f1282,f189,f92,f87]) ).
fof(f1286,plain,
( ~ aScalar0(xv)
| ~ aScalar0(xu)
| ~ spl2_25
| spl2_125 ),
inference(resolution,[],[f1284,f190]) ).
fof(f1284,plain,
( ~ aScalar0(sdtpldt0(xu,xv))
| spl2_125 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1285,plain,
( ~ spl2_1
| ~ spl2_125
| ~ spl2_24
| spl2_90 ),
inference(avatar_split_clause,[],[f998,f986,f185,f1282,f77]) ).
fof(f998,plain,
( ~ aScalar0(sdtpldt0(xu,xv))
| ~ aScalar0(xx)
| ~ spl2_24
| spl2_90 ),
inference(resolution,[],[f988,f186]) ).
fof(f988,plain,
( ~ aScalar0(sdtasdt0(xx,sdtpldt0(xu,xv)))
| spl2_90 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f1280,plain,
( spl2_124
| ~ spl2_22
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f344,f238,f177,f1277]) ).
fof(f344,plain,
( sz0z00 = sdtpldt0(smndt0(xv),xv)
| ~ spl2_22
| ~ spl2_31 ),
inference(resolution,[],[f240,f178]) ).
fof(f1275,plain,
( spl2_123
| ~ spl2_21
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f343,f238,f173,f1272]) ).
fof(f1272,plain,
( spl2_123
<=> sz0z00 = sdtpldt0(xv,smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_123])]) ).
fof(f343,plain,
( sz0z00 = sdtpldt0(xv,smndt0(xv))
| ~ spl2_21
| ~ spl2_31 ),
inference(resolution,[],[f240,f174]) ).
fof(f1270,plain,
( spl2_122
| ~ spl2_22
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f337,f194,f177,f1267]) ).
fof(f337,plain,
( sz0z00 = sdtpldt0(smndt0(xu),xu)
| ~ spl2_22
| ~ spl2_26 ),
inference(resolution,[],[f196,f178]) ).
fof(f1265,plain,
( spl2_121
| ~ spl2_21
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f336,f194,f173,f1262]) ).
fof(f1262,plain,
( spl2_121
<=> sz0z00 = sdtpldt0(xu,smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_121])]) ).
fof(f336,plain,
( sz0z00 = sdtpldt0(xu,smndt0(xu))
| ~ spl2_21
| ~ spl2_26 ),
inference(resolution,[],[f196,f174]) ).
fof(f1260,plain,
( spl2_120
| ~ spl2_20
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f330,f177,f168,f1257]) ).
fof(f330,plain,
( sz0z00 = sdtpldt0(smndt0(xy),xy)
| ~ spl2_20
| ~ spl2_22 ),
inference(resolution,[],[f170,f178]) ).
fof(f1255,plain,
( spl2_119
| ~ spl2_20
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f329,f173,f168,f1252]) ).
fof(f1252,plain,
( spl2_119
<=> sz0z00 = sdtpldt0(xy,smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_119])]) ).
fof(f329,plain,
( sz0z00 = sdtpldt0(xy,smndt0(xy))
| ~ spl2_20
| ~ spl2_21 ),
inference(resolution,[],[f170,f174]) ).
fof(f1250,plain,
( spl2_118
| ~ spl2_14
| ~ spl2_22 ),
inference(avatar_split_clause,[],[f299,f177,f143,f1247]) ).
fof(f143,plain,
( spl2_14
<=> sP0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f299,plain,
( sz0z00 = sdtpldt0(smndt0(xx),xx)
| ~ spl2_14
| ~ spl2_22 ),
inference(resolution,[],[f145,f178]) ).
fof(f145,plain,
( sP0(xx)
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f1245,plain,
( spl2_117
| ~ spl2_14
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f298,f173,f143,f1242]) ).
fof(f1242,plain,
( spl2_117
<=> sz0z00 = sdtpldt0(xx,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_117])]) ).
fof(f298,plain,
( sz0z00 = sdtpldt0(xx,smndt0(xx))
| ~ spl2_14
| ~ spl2_21 ),
inference(resolution,[],[f145,f174]) ).
fof(f1232,plain,
( spl2_116
| ~ spl2_17
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f352,f346,f156,f1229]) ).
fof(f1229,plain,
( spl2_116
<=> sz0z00 = sdtasdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_116])]) ).
fof(f1227,plain,
( spl2_115
| ~ spl2_15
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f350,f346,f148,f1224]) ).
fof(f1182,plain,
( spl2_114
| ~ spl2_19
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f342,f238,f164,f1179]) ).
fof(f1179,plain,
( spl2_114
<=> xv = smndt0(smndt0(xv)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_114])]) ).
fof(f342,plain,
( xv = smndt0(smndt0(xv))
| ~ spl2_19
| ~ spl2_31 ),
inference(resolution,[],[f240,f165]) ).
fof(f1177,plain,
( spl2_113
| ~ spl2_18
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f341,f238,f160,f1174]) ).
fof(f1172,plain,
( spl2_112
| ~ spl2_17
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f340,f238,f156,f1169]) ).
fof(f1167,plain,
( spl2_111
| ~ spl2_16
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f339,f238,f152,f1164]) ).
fof(f1162,plain,
( spl2_110
| ~ spl2_15
| ~ spl2_31 ),
inference(avatar_split_clause,[],[f338,f238,f148,f1159]) ).
fof(f1157,plain,
( spl2_109
| ~ spl2_19
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f335,f194,f164,f1154]) ).
fof(f1154,plain,
( spl2_109
<=> xu = smndt0(smndt0(xu)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_109])]) ).
fof(f335,plain,
( xu = smndt0(smndt0(xu))
| ~ spl2_19
| ~ spl2_26 ),
inference(resolution,[],[f196,f165]) ).
fof(f1152,plain,
( spl2_108
| ~ spl2_18
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f334,f194,f160,f1149]) ).
fof(f1147,plain,
( spl2_107
| ~ spl2_17
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f333,f194,f156,f1144]) ).
fof(f1142,plain,
( spl2_106
| ~ spl2_16
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f332,f194,f152,f1139]) ).
fof(f1137,plain,
( spl2_105
| ~ spl2_15
| ~ spl2_26 ),
inference(avatar_split_clause,[],[f331,f194,f148,f1134]) ).
fof(f1116,plain,
( spl2_104
| ~ spl2_24
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f318,f305,f185,f1114]) ).
fof(f318,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_37 ),
inference(resolution,[],[f306,f186]) ).
fof(f1112,plain,
( spl2_103
| ~ spl2_25
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f317,f305,f189,f1110]) ).
fof(f317,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_37 ),
inference(resolution,[],[f306,f190]) ).
fof(f1092,plain,
( spl2_102
| ~ spl2_24
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f310,f301,f185,f1090]) ).
fof(f310,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_36 ),
inference(resolution,[],[f302,f186]) ).
fof(f1088,plain,
( spl2_101
| ~ spl2_25
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f309,f301,f189,f1086]) ).
fof(f309,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_36 ),
inference(resolution,[],[f302,f190]) ).
fof(f1084,plain,
( spl2_100
| ~ spl2_19
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f328,f168,f164,f1081]) ).
fof(f1081,plain,
( spl2_100
<=> xy = smndt0(smndt0(xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_100])]) ).
fof(f328,plain,
( xy = smndt0(smndt0(xy))
| ~ spl2_19
| ~ spl2_20 ),
inference(resolution,[],[f170,f165]) ).
fof(f1047,plain,
( spl2_99
| ~ spl2_24
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f281,f268,f185,f1045]) ).
fof(f281,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_34 ),
inference(resolution,[],[f269,f186]) ).
fof(f1043,plain,
( spl2_98
| ~ spl2_25
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f280,f268,f189,f1041]) ).
fof(f280,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_34 ),
inference(resolution,[],[f269,f190]) ).
fof(f1039,plain,
( spl2_97
| ~ spl2_24
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f273,f264,f185,f1037]) ).
fof(f273,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_24
| ~ spl2_33 ),
inference(resolution,[],[f265,f186]) ).
fof(f1035,plain,
( spl2_96
| ~ spl2_25
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f272,f264,f189,f1033]) ).
fof(f272,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl2_25
| ~ spl2_33 ),
inference(resolution,[],[f265,f190]) ).
fof(f1022,plain,
( spl2_95
| ~ spl2_9
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f319,f305,f120,f1020]) ).
fof(f319,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_37 ),
inference(resolution,[],[f306,f121]) ).
fof(f1018,plain,
( spl2_94
| ~ spl2_18
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f327,f168,f160,f1015]) ).
fof(f1004,plain,
( spl2_93
| ~ spl2_9
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f311,f301,f120,f1002]) ).
fof(f311,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_36 ),
inference(resolution,[],[f302,f121]) ).
fof(f997,plain,
( ~ spl2_90
| ~ spl2_91
| spl2_92
| ~ spl2_25
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f292,f288,f189,f994,f990,f986]) ).
fof(f292,plain,
( aScalar0(sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)))
| ~ aScalar0(sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ aScalar0(sdtasdt0(xx,sdtpldt0(xu,xv)))
| ~ spl2_25
| ~ spl2_35 ),
inference(superposition,[],[f190,f290]) ).
fof(f290,plain,
( sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv)))
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f966,plain,
( spl2_89
| ~ spl2_9
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f282,f268,f120,f964]) ).
fof(f282,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_34 ),
inference(resolution,[],[f269,f121]) ).
fof(f962,plain,
( spl2_88
| ~ spl2_9
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f274,f264,f120,f960]) ).
fof(f274,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl2_9
| ~ spl2_33 ),
inference(resolution,[],[f265,f121]) ).
fof(f958,plain,
( spl2_87
| ~ spl2_17
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f326,f168,f156,f955]) ).
fof(f895,plain,
( spl2_86
| ~ spl2_6
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f316,f305,f102,f893]) ).
fof(f316,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_37 ),
inference(resolution,[],[f306,f104]) ).
fof(f891,plain,
( spl2_85
| ~ spl2_6
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f308,f301,f102,f889]) ).
fof(f308,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_36 ),
inference(resolution,[],[f302,f104]) ).
fof(f887,plain,
( spl2_84
| ~ spl2_24
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f257,f252,f185,f885]) ).
fof(f257,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_32 ),
inference(resolution,[],[f253,f186]) ).
fof(f883,plain,
( spl2_83
| ~ spl2_25
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f256,f252,f189,f881]) ).
fof(f256,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_32 ),
inference(resolution,[],[f253,f190]) ).
fof(f879,plain,
( spl2_82
| ~ spl2_16
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f325,f168,f152,f876]) ).
fof(f874,plain,
( spl2_81
| ~ spl2_24
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f245,f216,f185,f872]) ).
fof(f245,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_24
| ~ spl2_30 ),
inference(resolution,[],[f217,f186]) ).
fof(f870,plain,
( spl2_80
| ~ spl2_25
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f244,f216,f189,f868]) ).
fof(f244,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl2_25
| ~ spl2_30 ),
inference(resolution,[],[f217,f190]) ).
fof(f782,plain,
( spl2_79
| ~ spl2_15
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f324,f168,f148,f779]) ).
fof(f777,plain,
( spl2_78
| ~ spl2_4
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f323,f305,f92,f775]) ).
fof(f323,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xv) = sdtpldt0(sdtasdt0(X0,xv),sdtasdt0(X1,xv))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_37 ),
inference(resolution,[],[f306,f94]) ).
fof(f773,plain,
( spl2_77
| ~ spl2_3
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f322,f305,f87,f771]) ).
fof(f322,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xu) = sdtpldt0(sdtasdt0(X0,xu),sdtasdt0(X1,xu))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_37 ),
inference(resolution,[],[f306,f89]) ).
fof(f769,plain,
( spl2_76
| ~ spl2_2
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f321,f305,f82,f767]) ).
fof(f321,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X1,xy))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_37 ),
inference(resolution,[],[f306,f84]) ).
fof(f765,plain,
( spl2_75
| ~ spl2_1
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f320,f305,f77,f763]) ).
fof(f320,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X1,xx))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_37 ),
inference(resolution,[],[f306,f79]) ).
fof(f761,plain,
( spl2_74
| ~ spl2_4
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f315,f301,f92,f759]) ).
fof(f315,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xv)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xv))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_36 ),
inference(resolution,[],[f302,f94]) ).
fof(f757,plain,
( spl2_73
| ~ spl2_3
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f314,f301,f87,f755]) ).
fof(f314,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xu)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xu))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_36 ),
inference(resolution,[],[f302,f89]) ).
fof(f753,plain,
( spl2_72
| ~ spl2_2
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f313,f301,f82,f751]) ).
fof(f313,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xy)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xy))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_36 ),
inference(resolution,[],[f302,f84]) ).
fof(f749,plain,
( spl2_71
| ~ spl2_1
| ~ spl2_36 ),
inference(avatar_split_clause,[],[f312,f301,f77,f747]) ).
fof(f312,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xx))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_36 ),
inference(resolution,[],[f302,f79]) ).
fof(f742,plain,
( spl2_70
| ~ spl2_23
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f205,f200,f181,f740]) ).
fof(f200,plain,
( spl2_27
<=> ! [X0] :
( szszuzczcdt0(sK1(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).
fof(f205,plain,
( ! [X0] :
( sz00 = sK1(X0)
| sK1(X0) = szszuzczcdt0(sK1(sK1(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl2_23
| ~ spl2_27 ),
inference(resolution,[],[f201,f182]) ).
fof(f201,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK1(X0)) = X0 )
| ~ spl2_27 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f738,plain,
( spl2_69
| ~ spl2_14
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f297,f164,f143,f735]) ).
fof(f735,plain,
( spl2_69
<=> xx = smndt0(smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).
fof(f297,plain,
( xx = smndt0(smndt0(xx))
| ~ spl2_14
| ~ spl2_19 ),
inference(resolution,[],[f145,f165]) ).
fof(f707,plain,
( spl2_68
| ~ spl2_6
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f279,f268,f102,f705]) ).
fof(f279,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_34 ),
inference(resolution,[],[f269,f104]) ).
fof(f703,plain,
( spl2_67
| ~ spl2_6
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f271,f264,f102,f701]) ).
fof(f271,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_6
| ~ spl2_33 ),
inference(resolution,[],[f265,f104]) ).
fof(f638,plain,
( spl2_66
| ~ spl2_14
| ~ spl2_18 ),
inference(avatar_split_clause,[],[f296,f160,f143,f635]) ).
fof(f296,plain,
( sz0z00 = sdtasdt0(sz0z00,xx)
| ~ spl2_14
| ~ spl2_18 ),
inference(resolution,[],[f145,f161]) ).
fof(f610,plain,
( spl2_65
| ~ spl2_4
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f286,f268,f92,f608]) ).
fof(f286,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xv) = sdtasdt0(X0,sdtasdt0(X1,xv))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_34 ),
inference(resolution,[],[f269,f94]) ).
fof(f606,plain,
( spl2_64
| ~ spl2_3
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f285,f268,f87,f604]) ).
fof(f285,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xu) = sdtasdt0(X0,sdtasdt0(X1,xu))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_34 ),
inference(resolution,[],[f269,f89]) ).
fof(f602,plain,
( spl2_63
| ~ spl2_2
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f284,f268,f82,f600]) ).
fof(f284,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xy) = sdtasdt0(X0,sdtasdt0(X1,xy))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_34 ),
inference(resolution,[],[f269,f84]) ).
fof(f598,plain,
( spl2_62
| ~ spl2_1
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f283,f268,f77,f596]) ).
fof(f283,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(X0,sdtasdt0(X1,xx))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_34 ),
inference(resolution,[],[f269,f79]) ).
fof(f594,plain,
( spl2_61
| ~ spl2_4
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f278,f264,f92,f592]) ).
fof(f278,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xv) = sdtpldt0(X0,sdtpldt0(X1,xv))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_4
| ~ spl2_33 ),
inference(resolution,[],[f265,f94]) ).
fof(f590,plain,
( spl2_60
| ~ spl2_3
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f277,f264,f87,f588]) ).
fof(f277,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xu) = sdtpldt0(X0,sdtpldt0(X1,xu))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_3
| ~ spl2_33 ),
inference(resolution,[],[f265,f89]) ).
fof(f586,plain,
( spl2_59
| ~ spl2_2
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f276,f264,f82,f584]) ).
fof(f276,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xy) = sdtpldt0(X0,sdtpldt0(X1,xy))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_2
| ~ spl2_33 ),
inference(resolution,[],[f265,f84]) ).
fof(f582,plain,
( spl2_58
| ~ spl2_1
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f275,f264,f77,f580]) ).
fof(f275,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(X0,sdtpldt0(X1,xx))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl2_1
| ~ spl2_33 ),
inference(resolution,[],[f265,f79]) ).
fof(f578,plain,
( spl2_57
| ~ spl2_14
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f295,f156,f143,f575]) ).
fof(f295,plain,
( sz0z00 = sdtasdt0(xx,sz0z00)
| ~ spl2_14
| ~ spl2_17 ),
inference(resolution,[],[f145,f157]) ).
fof(f552,plain,
( spl2_56
| ~ spl2_9
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f258,f252,f120,f550]) ).
fof(f258,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_32 ),
inference(resolution,[],[f253,f121]) ).
fof(f548,plain,
( spl2_55
| ~ spl2_9
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f246,f216,f120,f546]) ).
fof(f246,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl2_9
| ~ spl2_30 ),
inference(resolution,[],[f217,f121]) ).
fof(f544,plain,
( spl2_54
| ~ spl2_8
| ~ spl2_27 ),
inference(avatar_split_clause,[],[f204,f200,f116,f542]) ).
fof(f204,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK1(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl2_8
| ~ spl2_27 ),
inference(resolution,[],[f201,f117]) ).
fof(f516,plain,
( spl2_53
| ~ spl2_6
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f255,f252,f102,f514]) ).
fof(f255,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl2_6
| ~ spl2_32 ),
inference(resolution,[],[f253,f104]) ).
fof(f512,plain,
( spl2_52
| ~ spl2_6
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f243,f216,f102,f510]) ).
fof(f243,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl2_6
| ~ spl2_30 ),
inference(resolution,[],[f217,f104]) ).
fof(f508,plain,
( spl2_51
| ~ spl2_14
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f294,f152,f143,f505]) ).
fof(f294,plain,
( xx = sdtpldt0(sz0z00,xx)
| ~ spl2_14
| ~ spl2_16 ),
inference(resolution,[],[f145,f153]) ).
fof(f431,plain,
( spl2_50
| ~ spl2_4
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f262,f252,f92,f429]) ).
fof(f262,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xv) = sdtasdt0(xv,X0) )
| ~ spl2_4
| ~ spl2_32 ),
inference(resolution,[],[f253,f94]) ).
fof(f427,plain,
( spl2_49
| ~ spl2_3
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f261,f252,f87,f425]) ).
fof(f261,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xu) = sdtasdt0(xu,X0) )
| ~ spl2_3
| ~ spl2_32 ),
inference(resolution,[],[f253,f89]) ).
fof(f423,plain,
( spl2_48
| ~ spl2_14
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f293,f148,f143,f420]) ).
fof(f293,plain,
( xx = sdtpldt0(xx,sz0z00)
| ~ spl2_14
| ~ spl2_15 ),
inference(resolution,[],[f145,f149]) ).
fof(f418,plain,
( spl2_47
| ~ spl2_2
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f260,f252,f82,f416]) ).
fof(f260,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtasdt0(xy,X0) )
| ~ spl2_2
| ~ spl2_32 ),
inference(resolution,[],[f253,f84]) ).
fof(f414,plain,
( spl2_46
| ~ spl2_1
| ~ spl2_32 ),
inference(avatar_split_clause,[],[f259,f252,f77,f412]) ).
fof(f259,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(xx,X0) )
| ~ spl2_1
| ~ spl2_32 ),
inference(resolution,[],[f253,f79]) ).
fof(f410,plain,
( spl2_45
| ~ spl2_4
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f250,f216,f92,f408]) ).
fof(f250,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xv) = sdtpldt0(xv,X0) )
| ~ spl2_4
| ~ spl2_30 ),
inference(resolution,[],[f217,f94]) ).
fof(f406,plain,
( spl2_44
| ~ spl2_3
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f249,f216,f87,f404]) ).
fof(f249,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xu) = sdtpldt0(xu,X0) )
| ~ spl2_3
| ~ spl2_30 ),
inference(resolution,[],[f217,f89]) ).
fof(f402,plain,
( spl2_43
| ~ spl2_2
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f248,f216,f82,f400]) ).
fof(f248,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xy) = sdtpldt0(xy,X0) )
| ~ spl2_2
| ~ spl2_30 ),
inference(resolution,[],[f217,f84]) ).
fof(f398,plain,
( spl2_42
| ~ spl2_1
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f247,f216,f77,f396]) ).
fof(f247,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0) )
| ~ spl2_1
| ~ spl2_30 ),
inference(resolution,[],[f217,f79]) ).
fof(f379,plain,
( spl2_41
| ~ spl2_7
| ~ spl2_25 ),
inference(avatar_split_clause,[],[f198,f189,f107,f377]) ).
fof(f198,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP0(sdtpldt0(X1,X0)) )
| ~ spl2_7
| ~ spl2_25 ),
inference(resolution,[],[f190,f108]) ).
fof(f375,plain,
( spl2_40
| ~ spl2_7
| ~ spl2_24 ),
inference(avatar_split_clause,[],[f192,f185,f107,f373]) ).
fof(f192,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP0(sdtasdt0(X1,X0)) )
| ~ spl2_7
| ~ spl2_24 ),
inference(resolution,[],[f186,f108]) ).
fof(f363,plain,
( spl2_39
| ~ spl2_7
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f123,f120,f107,f361]) ).
fof(f123,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP0(smndt0(X0)) )
| ~ spl2_7
| ~ spl2_9 ),
inference(resolution,[],[f121,f108]) ).
fof(f349,plain,
( spl2_38
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f110,f107,f102,f346]) ).
fof(f110,plain,
( sP0(sz0z00)
| ~ spl2_6
| ~ spl2_7 ),
inference(resolution,[],[f108,f104]) ).
fof(f307,plain,
spl2_37,
inference(avatar_split_clause,[],[f75,f305]) ).
fof(f75,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f303,plain,
spl2_36,
inference(avatar_split_clause,[],[f74,f301]) ).
fof(f74,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f291,plain,
spl2_35,
inference(avatar_split_clause,[],[f46,f288]) ).
fof(f46,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtasdt0(xx,sdtpldt0(xu,xv)),sdtasdt0(xy,sdtpldt0(xu,xv))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__733) ).
fof(f270,plain,
spl2_34,
inference(avatar_split_clause,[],[f72,f268]) ).
fof(f72,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f266,plain,
spl2_33,
inference(avatar_split_clause,[],[f70,f264]) ).
fof(f70,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f254,plain,
( spl2_29
| spl2_32 ),
inference(avatar_split_clause,[],[f73,f252,f213]) ).
fof(f213,plain,
( spl2_29
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_29])]) ).
fof(f73,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f241,plain,
( spl2_31
| ~ spl2_4
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f114,f107,f92,f238]) ).
fof(f114,plain,
( sP0(xv)
| ~ spl2_4
| ~ spl2_7 ),
inference(resolution,[],[f108,f94]) ).
fof(f228,plain,
( ~ spl2_6
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| ~ spl2_6
| ~ spl2_29 ),
inference(resolution,[],[f214,f104]) ).
fof(f214,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f227,plain,
( ~ spl2_1
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| ~ spl2_1
| ~ spl2_29 ),
inference(resolution,[],[f214,f79]) ).
fof(f226,plain,
( ~ spl2_2
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| ~ spl2_2
| ~ spl2_29 ),
inference(resolution,[],[f214,f84]) ).
fof(f225,plain,
( ~ spl2_3
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| ~ spl2_3
| ~ spl2_29 ),
inference(resolution,[],[f214,f89]) ).
fof(f224,plain,
( ~ spl2_4
| ~ spl2_29 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl2_4
| ~ spl2_29 ),
inference(resolution,[],[f214,f94]) ).
fof(f218,plain,
( spl2_29
| spl2_30 ),
inference(avatar_split_clause,[],[f71,f216,f213]) ).
fof(f71,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f209,plain,
spl2_28,
inference(avatar_split_clause,[],[f67,f207]) ).
fof(f207,plain,
( spl2_28
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).
fof(f67,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f202,plain,
spl2_27,
inference(avatar_split_clause,[],[f66,f200]) ).
fof(f66,plain,
! [X0] :
( szszuzczcdt0(sK1(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( szszuzczcdt0(sK1(X0)) = X0
& aNaturalNumber0(sK1(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f29,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK1(X0)) = X0
& aNaturalNumber0(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtr) ).
fof(f197,plain,
( spl2_26
| ~ spl2_3
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f113,f107,f87,f194]) ).
fof(f113,plain,
( sP0(xu)
| ~ spl2_3
| ~ spl2_7 ),
inference(resolution,[],[f108,f89]) ).
fof(f191,plain,
spl2_25,
inference(avatar_split_clause,[],[f69,f189]) ).
fof(f69,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f187,plain,
spl2_24,
inference(avatar_split_clause,[],[f68,f185]) ).
fof(f68,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f183,plain,
spl2_23,
inference(avatar_split_clause,[],[f65,f181]) ).
fof(f65,plain,
! [X0] :
( aNaturalNumber0(sK1(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f179,plain,
spl2_22,
inference(avatar_split_clause,[],[f61,f177]) ).
fof(f61,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f175,plain,
spl2_21,
inference(avatar_split_clause,[],[f60,f173]) ).
fof(f60,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f171,plain,
( spl2_20
| ~ spl2_2
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f112,f107,f82,f168]) ).
fof(f112,plain,
( sP0(xy)
| ~ spl2_2
| ~ spl2_7 ),
inference(resolution,[],[f108,f84]) ).
fof(f166,plain,
spl2_19,
inference(avatar_split_clause,[],[f62,f164]) ).
fof(f62,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f162,plain,
spl2_18,
inference(avatar_split_clause,[],[f59,f160]) ).
fof(f59,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f158,plain,
spl2_17,
inference(avatar_split_clause,[],[f58,f156]) ).
fof(f58,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f154,plain,
spl2_16,
inference(avatar_split_clause,[],[f57,f152]) ).
fof(f57,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f150,plain,
spl2_15,
inference(avatar_split_clause,[],[f56,f148]) ).
fof(f56,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f146,plain,
( spl2_14
| ~ spl2_1
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f111,f107,f77,f143]) ).
fof(f111,plain,
( sP0(xx)
| ~ spl2_1
| ~ spl2_7 ),
inference(resolution,[],[f108,f79]) ).
fof(f140,plain,
( spl2_12
| spl2_13 ),
inference(avatar_split_clause,[],[f63,f137,f134]) ).
fof(f134,plain,
( spl2_12
<=> ! [X0] : ~ sP0(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f137,plain,
( spl2_13
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f63,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f132,plain,
spl2_11,
inference(avatar_split_clause,[],[f54,f130]) ).
fof(f54,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f128,plain,
~ spl2_10,
inference(avatar_split_clause,[],[f45,f125]) ).
fof(f45,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(flattening,[],[f19]) ).
fof(f19,negated_conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f122,plain,
spl2_9,
inference(avatar_split_clause,[],[f55,f120]) ).
fof(f55,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f118,plain,
spl2_8,
inference(avatar_split_clause,[],[f53,f116]) ).
fof(f53,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f109,plain,
spl2_7,
inference(avatar_split_clause,[],[f64,f107]) ).
fof(f64,plain,
! [X0] :
( sP0(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( sP0(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f27,f40]) ).
fof(f27,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f105,plain,
spl2_6,
inference(avatar_split_clause,[],[f52,f102]) ).
fof(f52,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f100,plain,
spl2_5,
inference(avatar_split_clause,[],[f51,f97]) ).
fof(f51,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNat) ).
fof(f95,plain,
spl2_4,
inference(avatar_split_clause,[],[f50,f92]) ).
fof(f50,plain,
aScalar0(xv),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( aScalar0(xv)
& aScalar0(xu)
& aScalar0(xy)
& aScalar0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__674) ).
fof(f90,plain,
spl2_3,
inference(avatar_split_clause,[],[f49,f87]) ).
fof(f49,plain,
aScalar0(xu),
inference(cnf_transformation,[],[f16]) ).
fof(f85,plain,
spl2_2,
inference(avatar_split_clause,[],[f48,f82]) ).
fof(f48,plain,
aScalar0(xy),
inference(cnf_transformation,[],[f16]) ).
fof(f80,plain,
spl2_1,
inference(avatar_split_clause,[],[f47,f77]) ).
fof(f47,plain,
aScalar0(xx),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG045+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 02:01:33 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (14101)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (14104)WARNING: value z3 for option sas not known
% 0.15/0.38 % (14102)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (14103)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (14105)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (14104)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (14106)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (14107)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (14108)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.22/0.42 TRYING [5]
% 0.22/0.45 TRYING [5]
% 0.22/0.48 TRYING [6]
% 0.22/0.51 TRYING [1]
% 0.22/0.51 TRYING [2]
% 0.22/0.51 TRYING [3]
% 0.22/0.52 TRYING [4]
% 0.22/0.53 TRYING [5]
% 0.22/0.56 TRYING [6]
% 0.22/0.57 TRYING [6]
% 0.22/0.57 TRYING [7]
% 2.01/0.66 TRYING [7]
% 2.59/0.77 TRYING [8]
% 3.02/0.79 TRYING [7]
% 3.59/0.88 TRYING [8]
% 3.73/0.91 % (14106)First to succeed.
% 4.11/0.95 % (14106)Refutation found. Thanks to Tanya!
% 4.11/0.95 % SZS status Theorem for theBenchmark
% 4.11/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 4.11/0.98 % (14106)------------------------------
% 4.11/0.98 % (14106)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 4.11/0.98 % (14106)Termination reason: Refutation
% 4.11/0.98
% 4.11/0.98 % (14106)Memory used [KB]: 12545
% 4.11/0.98 % (14106)Time elapsed: 0.572 s
% 4.11/0.98 % (14106)Instructions burned: 1638 (million)
% 4.11/0.98 % (14106)------------------------------
% 4.11/0.98 % (14106)------------------------------
% 4.11/0.98 % (14101)Success in time 0.598 s
%------------------------------------------------------------------------------