TSTP Solution File: RNG059+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 21:58:38 EDT 2023
% Result : Theorem 2.46s 0.76s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 722
% Syntax : Number of formulae : 2426 ( 143 unt; 0 def)
% Number of atoms : 8192 (1562 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 10628 (4862 ~;4899 |; 148 &)
% ( 669 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 674 ( 672 usr; 665 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 1479 (;1471 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12562,plain,
$false,
inference(avatar_sat_refutation,[],[f239,f244,f249,f254,f259,f264,f269,f274,f279,f284,f289,f294,f299,f304,f309,f314,f319,f324,f329,f334,f339,f344,f348,f366,f371,f376,f381,f386,f391,f396,f401,f406,f411,f416,f421,f426,f432,f436,f440,f444,f448,f452,f457,f464,f469,f474,f479,f485,f490,f494,f502,f512,f517,f521,f525,f529,f533,f537,f541,f545,f554,f558,f562,f566,f570,f574,f578,f583,f587,f610,f614,f619,f631,f635,f639,f646,f650,f655,f665,f669,f679,f683,f687,f691,f696,f700,f707,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f770,f793,f881,f886,f890,f894,f898,f928,f932,f936,f982,f986,f1024,f1028,f1051,f1057,f1062,f1086,f1094,f1122,f1198,f1213,f1218,f1228,f1235,f1242,f1249,f1255,f1268,f1277,f1286,f1291,f1295,f1299,f1324,f1329,f1334,f1345,f1355,f1360,f1361,f1369,f1374,f1378,f1382,f1401,f1424,f1428,f1432,f1436,f1440,f1444,f1448,f1453,f1457,f1461,f1465,f1469,f1473,f1477,f1481,f1485,f1489,f1493,f1498,f1502,f1506,f1510,f1514,f1518,f1522,f1526,f1987,f2010,f2014,f2078,f2096,f2097,f2098,f2099,f2100,f2101,f2102,f2103,f2104,f2105,f2106,f2107,f2108,f2363,f2513,f2693,f2894,f3076,f3111,f3146,f3150,f3154,f3158,f3162,f3166,f3170,f3174,f3178,f3183,f3187,f3191,f3195,f3199,f3203,f3207,f3211,f3215,f3219,f3223,f3228,f3232,f3236,f3240,f3244,f3248,f3252,f3256,f3260,f3264,f3268,f3273,f3277,f3281,f3285,f3289,f3293,f3297,f3301,f3305,f3309,f3313,f3318,f3322,f3487,f3756,f4022,f4294,f4321,f4326,f4331,f4335,f4386,f4393,f4398,f4414,f4425,f4432,f4439,f4445,f4449,f4453,f4457,f4516,f4520,f4525,f4529,f4536,f4543,f4550,f4572,f4576,f4580,f4584,f4588,f4592,f4596,f4600,f4604,f4608,f4613,f4617,f4621,f4625,f4629,f4633,f4637,f4641,f4645,f4649,f4653,f4658,f4662,f4666,f4670,f4674,f4678,f4682,f4781,f5030,f5292,f5296,f5300,f5304,f5308,f5312,f5316,f5425,f5500,f5508,f5519,f5523,f5524,f5701,f5716,f5720,f5724,f5728,f5732,f5736,f5740,f5745,f5749,f5753,f5757,f5761,f5765,f5769,f5773,f5777,f5781,f5785,f5796,f5800,f5804,f5808,f5812,f5940,f6218,f6469,f6474,f6478,f6482,f6486,f6490,f6494,f6498,f6502,f6549,f6663,f6673,f6683,f6688,f6700,f6715,f6723,f6731,f6735,f6739,f6744,f6748,f6752,f6756,f6760,f6764,f6768,f6772,f6776,f6819,f6959,f6966,f6982,f6998,f7022,f7040,f7041,f7297,f7317,f7333,f7349,f7362,f7628,f7637,f7653,f7669,f7674,f7686,f7712,f7716,f7720,f7724,f7728,f7732,f7758,f7833,f7837,f7841,f7845,f7919,f7927,f7944,f7971,f7988,f7992,f7996,f8046,f8062,f8067,f8086,f8090,f8097,f8101,f8105,f8109,f8113,f8118,f8122,f8126,f8130,f8134,f8138,f8142,f8146,f8237,f8521,f8526,f8570,f8574,f8612,f8626,f8664,f8669,f8673,f8677,f8681,f8766,f8771,f8776,f8781,f8786,f8791,f8796,f8801,f8806,f8811,f8816,f8821,f8826,f8831,f8836,f8841,f8846,f8851,f8856,f8861,f8866,f8871,f8876,f8881,f8901,f8906,f8911,f8916,f8921,f9978,f9983,f9988,f9993,f10079,f10084,f10089,f10094,f10099,f10104,f10109,f10114,f10119,f10124,f10129,f10134,f10139,f10144,f10149,f10154,f10159,f10164,f10169,f10174,f10179,f10184,f10189,f10194,f10199,f10204,f10209,f10214,f10219,f10224,f10229,f10234,f10239,f10244,f10249,f10254,f10259,f10264,f10269,f10274,f10279,f10284,f10289,f10294,f10299,f10304,f10309,f10314,f10319,f10324,f10329,f10610,f10911,f11016,f11735,f11741,f11746,f11760,f11765,f11770,f11775,f11780,f11785,f11790,f11795,f11800,f11805,f11810,f11815,f11820,f11825,f11830,f11835,f11840,f11845,f11850,f11855,f11860,f11865,f11870,f11875,f11880,f11885,f11890,f11895,f11900,f11905,f11910,f11915,f11920,f11925,f11930,f11935,f11940,f11945,f11950,f11955,f11960,f11965,f11970,f11975,f11980,f11985,f11990,f11995,f12000,f12005,f12010,f12015,f12020,f12025,f12030,f12035,f12040,f12045,f12050,f12055,f12060,f12065,f12070,f12075,f12080,f12085,f12090,f12095,f12100,f12105,f12110,f12115,f12120,f12125,f12130,f12135,f12140,f12145,f12150,f12155,f12160,f12165,f12170,f12175,f12180,f12185,f12190,f12195,f12200,f12205,f12210,f12215,f12220,f12225,f12230,f12235,f12240,f12245,f12250,f12255,f12260,f12265,f12270,f12275,f12280,f12285,f12290,f12295,f12300,f12305,f12310,f12315,f12320,f12325,f12330,f12335,f12340,f12345,f12350,f12355,f12360,f12365,f12370,f12375,f12380,f12385,f12390,f12395,f12400,f12405,f12410,f12415,f12420,f12425,f12430,f12435,f12440,f12445,f12450,f12455,f12460,f12465,f12470,f12475,f12480,f12485,f12490,f12495,f12500,f12505,f12510,f12515,f12520,f12525,f12530,f12535,f12540,f12545,f12550,f12555,f12560,f12561]) ).
fof(f12561,plain,
( spl5_1
| ~ spl5_11
| ~ spl5_33
| ~ spl5_160
| ~ spl5_213 ),
inference(avatar_split_clause,[],[f4238,f3303,f1512,f408,f286,f236]) ).
fof(f236,plain,
( spl5_1
<=> sdtasdt0(smndt0(xS),xR) = smndt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f286,plain,
( spl5_11
<=> aScalar0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f408,plain,
( spl5_33
<=> xN = sdtasdt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f1512,plain,
( spl5_160
<=> ! [X20] :
( ~ aScalar0(X20)
| sdtasdt0(X20,xR) = sdtasdt0(xR,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_160])]) ).
fof(f3303,plain,
( spl5_213
<=> ! [X20] :
( smndt0(sdtasdt0(X20,xR)) = sdtasdt0(smndt0(X20),xR)
| ~ aScalar0(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_213])]) ).
fof(f4238,plain,
( sdtasdt0(smndt0(xS),xR) = smndt0(xN)
| ~ spl5_11
| ~ spl5_33
| ~ spl5_160
| ~ spl5_213 ),
inference(forward_demodulation,[],[f4230,f1943]) ).
fof(f1943,plain,
( xN = sdtasdt0(xS,xR)
| ~ spl5_11
| ~ spl5_33
| ~ spl5_160 ),
inference(forward_demodulation,[],[f1940,f410]) ).
fof(f410,plain,
( xN = sdtasdt0(xR,xS)
| ~ spl5_33 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f1940,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl5_11
| ~ spl5_160 ),
inference(resolution,[],[f1513,f288]) ).
fof(f288,plain,
( aScalar0(xS)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f1513,plain,
( ! [X20] :
( ~ aScalar0(X20)
| sdtasdt0(X20,xR) = sdtasdt0(xR,X20) )
| ~ spl5_160 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f4230,plain,
( sdtasdt0(smndt0(xS),xR) = smndt0(sdtasdt0(xS,xR))
| ~ spl5_11
| ~ spl5_213 ),
inference(resolution,[],[f3304,f288]) ).
fof(f3304,plain,
( ! [X20] :
( ~ aScalar0(X20)
| smndt0(sdtasdt0(X20,xR)) = sdtasdt0(smndt0(X20),xR) )
| ~ spl5_213 ),
inference(avatar_component_clause,[],[f3303]) ).
fof(f12560,plain,
( spl5_664
| ~ spl5_15
| ~ spl5_35
| ~ spl5_212 ),
inference(avatar_split_clause,[],[f4209,f3299,f418,f306,f12557]) ).
fof(f12557,plain,
( spl5_664
<=> smndt0(xP) = sdtasdt0(smndt0(xE),xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_664])]) ).
fof(f306,plain,
( spl5_15
<=> aScalar0(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f418,plain,
( spl5_35
<=> xP = sdtasdt0(xE,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f3299,plain,
( spl5_212
<=> ! [X19] :
( smndt0(sdtasdt0(X19,xH)) = sdtasdt0(smndt0(X19),xH)
| ~ aScalar0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_212])]) ).
fof(f4209,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ spl5_15
| ~ spl5_35
| ~ spl5_212 ),
inference(forward_demodulation,[],[f4195,f420]) ).
fof(f420,plain,
( xP = sdtasdt0(xE,xH)
| ~ spl5_35 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f4195,plain,
( smndt0(sdtasdt0(xE,xH)) = sdtasdt0(smndt0(xE),xH)
| ~ spl5_15
| ~ spl5_212 ),
inference(resolution,[],[f3300,f308]) ).
fof(f308,plain,
( aScalar0(xE)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f3300,plain,
( ! [X19] :
( ~ aScalar0(X19)
| smndt0(sdtasdt0(X19,xH)) = sdtasdt0(smndt0(X19),xH) )
| ~ spl5_212 ),
inference(avatar_component_clause,[],[f3299]) ).
fof(f12555,plain,
( spl5_663
| ~ spl5_10
| ~ spl5_32
| ~ spl5_211 ),
inference(avatar_split_clause,[],[f4177,f3295,f403,f281,f12552]) ).
fof(f12552,plain,
( spl5_663
<=> smndt0(xR) = sdtasdt0(smndt0(xC),xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_663])]) ).
fof(f281,plain,
( spl5_10
<=> aScalar0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f403,plain,
( spl5_32
<=> xR = sdtasdt0(xC,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f3295,plain,
( spl5_211
<=> ! [X18] :
( smndt0(sdtasdt0(X18,xG)) = sdtasdt0(smndt0(X18),xG)
| ~ aScalar0(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_211])]) ).
fof(f4177,plain,
( smndt0(xR) = sdtasdt0(smndt0(xC),xG)
| ~ spl5_10
| ~ spl5_32
| ~ spl5_211 ),
inference(forward_demodulation,[],[f4163,f405]) ).
fof(f405,plain,
( xR = sdtasdt0(xC,xG)
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f4163,plain,
( smndt0(sdtasdt0(xC,xG)) = sdtasdt0(smndt0(xC),xG)
| ~ spl5_10
| ~ spl5_211 ),
inference(resolution,[],[f3296,f283]) ).
fof(f283,plain,
( aScalar0(xC)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f3296,plain,
( ! [X18] :
( ~ aScalar0(X18)
| smndt0(sdtasdt0(X18,xG)) = sdtasdt0(smndt0(X18),xG) )
| ~ spl5_211 ),
inference(avatar_component_clause,[],[f3295]) ).
fof(f12550,plain,
( spl5_662
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_154
| ~ spl5_210 ),
inference(avatar_split_clause,[],[f4147,f3291,f1487,f398,f276,f271,f12547]) ).
fof(f12547,plain,
( spl5_662
<=> smndt0(xS) = sdtasdt0(smndt0(xD),xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_662])]) ).
fof(f271,plain,
( spl5_8
<=> aScalar0(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f276,plain,
( spl5_9
<=> aScalar0(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f398,plain,
( spl5_31
<=> xS = sdtasdt0(xF,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f1487,plain,
( spl5_154
<=> ! [X15] :
( ~ aScalar0(X15)
| sdtasdt0(X15,xD) = sdtasdt0(xD,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_154])]) ).
fof(f3291,plain,
( spl5_210
<=> ! [X17] :
( smndt0(sdtasdt0(X17,xF)) = sdtasdt0(smndt0(X17),xF)
| ~ aScalar0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_210])]) ).
fof(f4147,plain,
( smndt0(xS) = sdtasdt0(smndt0(xD),xF)
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_154
| ~ spl5_210 ),
inference(forward_demodulation,[],[f4133,f1843]) ).
fof(f1843,plain,
( xS = sdtasdt0(xD,xF)
| ~ spl5_8
| ~ spl5_31
| ~ spl5_154 ),
inference(forward_demodulation,[],[f1835,f400]) ).
fof(f400,plain,
( xS = sdtasdt0(xF,xD)
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f1835,plain,
( sdtasdt0(xF,xD) = sdtasdt0(xD,xF)
| ~ spl5_8
| ~ spl5_154 ),
inference(resolution,[],[f1488,f273]) ).
fof(f273,plain,
( aScalar0(xF)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f1488,plain,
( ! [X15] :
( ~ aScalar0(X15)
| sdtasdt0(X15,xD) = sdtasdt0(xD,X15) )
| ~ spl5_154 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f4133,plain,
( smndt0(sdtasdt0(xD,xF)) = sdtasdt0(smndt0(xD),xF)
| ~ spl5_9
| ~ spl5_210 ),
inference(resolution,[],[f3292,f278]) ).
fof(f278,plain,
( aScalar0(xD)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f3292,plain,
( ! [X17] :
( ~ aScalar0(X17)
| smndt0(sdtasdt0(X17,xF)) = sdtasdt0(smndt0(X17),xF) )
| ~ spl5_210 ),
inference(avatar_component_clause,[],[f3291]) ).
fof(f12545,plain,
( spl5_661
| ~ spl5_7
| ~ spl5_35
| ~ spl5_155
| ~ spl5_209 ),
inference(avatar_split_clause,[],[f4123,f3287,f1491,f418,f266,f12542]) ).
fof(f12542,plain,
( spl5_661
<=> smndt0(xP) = sdtasdt0(smndt0(xH),xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_661])]) ).
fof(f266,plain,
( spl5_7
<=> aScalar0(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f1491,plain,
( spl5_155
<=> ! [X16] :
( ~ aScalar0(X16)
| sdtasdt0(X16,xE) = sdtasdt0(xE,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_155])]) ).
fof(f3287,plain,
( spl5_209
<=> ! [X16] :
( smndt0(sdtasdt0(X16,xE)) = sdtasdt0(smndt0(X16),xE)
| ~ aScalar0(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_209])]) ).
fof(f4123,plain,
( smndt0(xP) = sdtasdt0(smndt0(xH),xE)
| ~ spl5_7
| ~ spl5_35
| ~ spl5_155
| ~ spl5_209 ),
inference(forward_demodulation,[],[f4116,f1863]) ).
fof(f1863,plain,
( xP = sdtasdt0(xH,xE)
| ~ spl5_7
| ~ spl5_35
| ~ spl5_155 ),
inference(forward_demodulation,[],[f1857,f420]) ).
fof(f1857,plain,
( sdtasdt0(xE,xH) = sdtasdt0(xH,xE)
| ~ spl5_7
| ~ spl5_155 ),
inference(resolution,[],[f1492,f268]) ).
fof(f268,plain,
( aScalar0(xH)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f1492,plain,
( ! [X16] :
( ~ aScalar0(X16)
| sdtasdt0(X16,xE) = sdtasdt0(xE,X16) )
| ~ spl5_155 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f4116,plain,
( smndt0(sdtasdt0(xH,xE)) = sdtasdt0(smndt0(xH),xE)
| ~ spl5_7
| ~ spl5_209 ),
inference(resolution,[],[f3288,f268]) ).
fof(f3288,plain,
( ! [X16] :
( ~ aScalar0(X16)
| smndt0(sdtasdt0(X16,xE)) = sdtasdt0(smndt0(X16),xE) )
| ~ spl5_209 ),
inference(avatar_component_clause,[],[f3287]) ).
fof(f12540,plain,
( spl5_660
| ~ spl5_8
| ~ spl5_31
| ~ spl5_208 ),
inference(avatar_split_clause,[],[f4098,f3283,f398,f271,f12537]) ).
fof(f12537,plain,
( spl5_660
<=> smndt0(xS) = sdtasdt0(smndt0(xF),xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_660])]) ).
fof(f3283,plain,
( spl5_208
<=> ! [X15] :
( smndt0(sdtasdt0(X15,xD)) = sdtasdt0(smndt0(X15),xD)
| ~ aScalar0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_208])]) ).
fof(f4098,plain,
( smndt0(xS) = sdtasdt0(smndt0(xF),xD)
| ~ spl5_8
| ~ spl5_31
| ~ spl5_208 ),
inference(forward_demodulation,[],[f4086,f400]) ).
fof(f4086,plain,
( smndt0(sdtasdt0(xF,xD)) = sdtasdt0(smndt0(xF),xD)
| ~ spl5_8
| ~ spl5_208 ),
inference(resolution,[],[f3284,f273]) ).
fof(f3284,plain,
( ! [X15] :
( ~ aScalar0(X15)
| smndt0(sdtasdt0(X15,xD)) = sdtasdt0(smndt0(X15),xD) )
| ~ spl5_208 ),
inference(avatar_component_clause,[],[f3283]) ).
fof(f12535,plain,
( spl5_659
| ~ spl5_6
| ~ spl5_32
| ~ spl5_153
| ~ spl5_207 ),
inference(avatar_split_clause,[],[f4070,f3279,f1483,f403,f261,f12532]) ).
fof(f12532,plain,
( spl5_659
<=> smndt0(xR) = sdtasdt0(smndt0(xG),xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_659])]) ).
fof(f261,plain,
( spl5_6
<=> aScalar0(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f1483,plain,
( spl5_153
<=> ! [X14] :
( ~ aScalar0(X14)
| sdtasdt0(X14,xC) = sdtasdt0(xC,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_153])]) ).
fof(f3279,plain,
( spl5_207
<=> ! [X14] :
( smndt0(sdtasdt0(X14,xC)) = sdtasdt0(smndt0(X14),xC)
| ~ aScalar0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_207])]) ).
fof(f4070,plain,
( smndt0(xR) = sdtasdt0(smndt0(xG),xC)
| ~ spl5_6
| ~ spl5_32
| ~ spl5_153
| ~ spl5_207 ),
inference(forward_demodulation,[],[f4058,f1823]) ).
fof(f1823,plain,
( xR = sdtasdt0(xG,xC)
| ~ spl5_6
| ~ spl5_32
| ~ spl5_153 ),
inference(forward_demodulation,[],[f1816,f405]) ).
fof(f1816,plain,
( sdtasdt0(xC,xG) = sdtasdt0(xG,xC)
| ~ spl5_6
| ~ spl5_153 ),
inference(resolution,[],[f1484,f263]) ).
fof(f263,plain,
( aScalar0(xG)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f1484,plain,
( ! [X14] :
( ~ aScalar0(X14)
| sdtasdt0(X14,xC) = sdtasdt0(xC,X14) )
| ~ spl5_153 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f4058,plain,
( smndt0(sdtasdt0(xG,xC)) = sdtasdt0(smndt0(xG),xC)
| ~ spl5_6
| ~ spl5_207 ),
inference(resolution,[],[f3280,f263]) ).
fof(f3280,plain,
( ! [X14] :
( ~ aScalar0(X14)
| smndt0(sdtasdt0(X14,xC)) = sdtasdt0(smndt0(X14),xC) )
| ~ spl5_207 ),
inference(avatar_component_clause,[],[f3279]) ).
fof(f12530,plain,
( spl5_658
| ~ spl5_16
| ~ spl5_26
| ~ spl5_206 ),
inference(avatar_split_clause,[],[f4044,f3275,f373,f311,f12527]) ).
fof(f12527,plain,
( spl5_658
<=> smndt0(xG) = sdtasdt0(smndt0(xB),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_658])]) ).
fof(f311,plain,
( spl5_16
<=> aScalar0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f373,plain,
( spl5_26
<=> xG = sdtasdt0(xB,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f3275,plain,
( spl5_206
<=> ! [X13] :
( smndt0(sdtasdt0(X13,xB)) = sdtasdt0(smndt0(X13),xB)
| ~ aScalar0(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_206])]) ).
fof(f4044,plain,
( smndt0(xG) = sdtasdt0(smndt0(xB),xB)
| ~ spl5_16
| ~ spl5_26
| ~ spl5_206 ),
inference(forward_demodulation,[],[f4030,f375]) ).
fof(f375,plain,
( xG = sdtasdt0(xB,xB)
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f4030,plain,
( smndt0(sdtasdt0(xB,xB)) = sdtasdt0(smndt0(xB),xB)
| ~ spl5_16
| ~ spl5_206 ),
inference(resolution,[],[f3276,f313]) ).
fof(f313,plain,
( aScalar0(xB)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f3276,plain,
( ! [X13] :
( ~ aScalar0(X13)
| smndt0(sdtasdt0(X13,xB)) = sdtasdt0(smndt0(X13),xB) )
| ~ spl5_206 ),
inference(avatar_component_clause,[],[f3275]) ).
fof(f12525,plain,
( spl5_657
| ~ spl5_17
| ~ spl5_27
| ~ spl5_206 ),
inference(avatar_split_clause,[],[f4043,f3275,f378,f316,f12522]) ).
fof(f12522,plain,
( spl5_657
<=> smndt0(xH) = sdtasdt0(smndt0(xA),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_657])]) ).
fof(f316,plain,
( spl5_17
<=> aScalar0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f378,plain,
( spl5_27
<=> xH = sdtasdt0(xA,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f4043,plain,
( smndt0(xH) = sdtasdt0(smndt0(xA),xB)
| ~ spl5_17
| ~ spl5_27
| ~ spl5_206 ),
inference(forward_demodulation,[],[f4029,f380]) ).
fof(f380,plain,
( xH = sdtasdt0(xA,xB)
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f4029,plain,
( smndt0(sdtasdt0(xA,xB)) = sdtasdt0(smndt0(xA),xB)
| ~ spl5_17
| ~ spl5_206 ),
inference(resolution,[],[f3276,f318]) ).
fof(f318,plain,
( aScalar0(xA)
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f12520,plain,
( spl5_656
| ~ spl5_16
| ~ spl5_27
| ~ spl5_151
| ~ spl5_204 ),
inference(avatar_split_clause,[],[f4016,f3266,f1475,f378,f311,f12517]) ).
fof(f12517,plain,
( spl5_656
<=> smndt0(xH) = sdtasdt0(smndt0(xB),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_656])]) ).
fof(f1475,plain,
( spl5_151
<=> ! [X12] :
( ~ aScalar0(X12)
| sdtasdt0(X12,xA) = sdtasdt0(xA,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_151])]) ).
fof(f3266,plain,
( spl5_204
<=> ! [X12] :
( smndt0(sdtasdt0(X12,xA)) = sdtasdt0(smndt0(X12),xA)
| ~ aScalar0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_204])]) ).
fof(f4016,plain,
( smndt0(xH) = sdtasdt0(smndt0(xB),xA)
| ~ spl5_16
| ~ spl5_27
| ~ spl5_151
| ~ spl5_204 ),
inference(forward_demodulation,[],[f4002,f1778]) ).
fof(f1778,plain,
( xH = sdtasdt0(xB,xA)
| ~ spl5_16
| ~ spl5_27
| ~ spl5_151 ),
inference(forward_demodulation,[],[f1766,f380]) ).
fof(f1766,plain,
( sdtasdt0(xA,xB) = sdtasdt0(xB,xA)
| ~ spl5_16
| ~ spl5_151 ),
inference(resolution,[],[f1476,f313]) ).
fof(f1476,plain,
( ! [X12] :
( ~ aScalar0(X12)
| sdtasdt0(X12,xA) = sdtasdt0(xA,X12) )
| ~ spl5_151 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f4002,plain,
( smndt0(sdtasdt0(xB,xA)) = sdtasdt0(smndt0(xB),xA)
| ~ spl5_16
| ~ spl5_204 ),
inference(resolution,[],[f3267,f313]) ).
fof(f3267,plain,
( ! [X12] :
( ~ aScalar0(X12)
| smndt0(sdtasdt0(X12,xA)) = sdtasdt0(smndt0(X12),xA) )
| ~ spl5_204 ),
inference(avatar_component_clause,[],[f3266]) ).
fof(f12515,plain,
( spl5_655
| ~ spl5_17
| ~ spl5_28
| ~ spl5_204 ),
inference(avatar_split_clause,[],[f4015,f3266,f383,f316,f12512]) ).
fof(f12512,plain,
( spl5_655
<=> smndt0(xF) = sdtasdt0(smndt0(xA),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_655])]) ).
fof(f383,plain,
( spl5_28
<=> xF = sdtasdt0(xA,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f4015,plain,
( smndt0(xF) = sdtasdt0(smndt0(xA),xA)
| ~ spl5_17
| ~ spl5_28
| ~ spl5_204 ),
inference(forward_demodulation,[],[f4001,f385]) ).
fof(f385,plain,
( xF = sdtasdt0(xA,xA)
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f4001,plain,
( smndt0(sdtasdt0(xA,xA)) = sdtasdt0(smndt0(xA),xA)
| ~ spl5_17
| ~ spl5_204 ),
inference(resolution,[],[f3267,f318]) ).
fof(f12510,plain,
( spl5_654
| ~ spl5_12
| ~ spl5_33
| ~ spl5_202 ),
inference(avatar_split_clause,[],[f3970,f3258,f408,f291,f12507]) ).
fof(f12507,plain,
( spl5_654
<=> smndt0(xN) = sdtasdt0(xR,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_654])]) ).
fof(f291,plain,
( spl5_12
<=> aScalar0(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f3258,plain,
( spl5_202
<=> ! [X22] :
( sdtasdt0(X22,smndt0(xS)) = smndt0(sdtasdt0(X22,xS))
| ~ aScalar0(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_202])]) ).
fof(f3970,plain,
( smndt0(xN) = sdtasdt0(xR,smndt0(xS))
| ~ spl5_12
| ~ spl5_33
| ~ spl5_202 ),
inference(forward_demodulation,[],[f3961,f410]) ).
fof(f3961,plain,
( sdtasdt0(xR,smndt0(xS)) = smndt0(sdtasdt0(xR,xS))
| ~ spl5_12
| ~ spl5_202 ),
inference(resolution,[],[f3259,f293]) ).
fof(f293,plain,
( aScalar0(xR)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f3259,plain,
( ! [X22] :
( ~ aScalar0(X22)
| sdtasdt0(X22,smndt0(xS)) = smndt0(sdtasdt0(X22,xS)) )
| ~ spl5_202 ),
inference(avatar_component_clause,[],[f3258]) ).
fof(f12505,plain,
( spl5_653
| ~ spl5_11
| ~ spl5_33
| ~ spl5_160
| ~ spl5_200 ),
inference(avatar_split_clause,[],[f3920,f3250,f1512,f408,f286,f12502]) ).
fof(f12502,plain,
( spl5_653
<=> smndt0(xN) = sdtasdt0(xS,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_653])]) ).
fof(f3250,plain,
( spl5_200
<=> ! [X20] :
( sdtasdt0(X20,smndt0(xR)) = smndt0(sdtasdt0(X20,xR))
| ~ aScalar0(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_200])]) ).
fof(f3920,plain,
( smndt0(xN) = sdtasdt0(xS,smndt0(xR))
| ~ spl5_11
| ~ spl5_33
| ~ spl5_160
| ~ spl5_200 ),
inference(forward_demodulation,[],[f3912,f1943]) ).
fof(f3912,plain,
( sdtasdt0(xS,smndt0(xR)) = smndt0(sdtasdt0(xS,xR))
| ~ spl5_11
| ~ spl5_200 ),
inference(resolution,[],[f3251,f288]) ).
fof(f3251,plain,
( ! [X20] :
( ~ aScalar0(X20)
| sdtasdt0(X20,smndt0(xR)) = smndt0(sdtasdt0(X20,xR)) )
| ~ spl5_200 ),
inference(avatar_component_clause,[],[f3250]) ).
fof(f12500,plain,
( spl5_652
| ~ spl5_15
| ~ spl5_35
| ~ spl5_199 ),
inference(avatar_split_clause,[],[f3891,f3246,f418,f306,f12497]) ).
fof(f12497,plain,
( spl5_652
<=> smndt0(xP) = sdtasdt0(xE,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_652])]) ).
fof(f3246,plain,
( spl5_199
<=> ! [X19] :
( sdtasdt0(X19,smndt0(xH)) = smndt0(sdtasdt0(X19,xH))
| ~ aScalar0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_199])]) ).
fof(f3891,plain,
( smndt0(xP) = sdtasdt0(xE,smndt0(xH))
| ~ spl5_15
| ~ spl5_35
| ~ spl5_199 ),
inference(forward_demodulation,[],[f3877,f420]) ).
fof(f3877,plain,
( sdtasdt0(xE,smndt0(xH)) = smndt0(sdtasdt0(xE,xH))
| ~ spl5_15
| ~ spl5_199 ),
inference(resolution,[],[f3247,f308]) ).
fof(f3247,plain,
( ! [X19] :
( ~ aScalar0(X19)
| sdtasdt0(X19,smndt0(xH)) = smndt0(sdtasdt0(X19,xH)) )
| ~ spl5_199 ),
inference(avatar_component_clause,[],[f3246]) ).
fof(f12495,plain,
( spl5_651
| ~ spl5_10
| ~ spl5_32
| ~ spl5_198 ),
inference(avatar_split_clause,[],[f3859,f3242,f403,f281,f12492]) ).
fof(f12492,plain,
( spl5_651
<=> smndt0(xR) = sdtasdt0(xC,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_651])]) ).
fof(f3242,plain,
( spl5_198
<=> ! [X18] :
( sdtasdt0(X18,smndt0(xG)) = smndt0(sdtasdt0(X18,xG))
| ~ aScalar0(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_198])]) ).
fof(f3859,plain,
( smndt0(xR) = sdtasdt0(xC,smndt0(xG))
| ~ spl5_10
| ~ spl5_32
| ~ spl5_198 ),
inference(forward_demodulation,[],[f3845,f405]) ).
fof(f3845,plain,
( sdtasdt0(xC,smndt0(xG)) = smndt0(sdtasdt0(xC,xG))
| ~ spl5_10
| ~ spl5_198 ),
inference(resolution,[],[f3243,f283]) ).
fof(f3243,plain,
( ! [X18] :
( ~ aScalar0(X18)
| sdtasdt0(X18,smndt0(xG)) = smndt0(sdtasdt0(X18,xG)) )
| ~ spl5_198 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f12490,plain,
( spl5_650
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_154
| ~ spl5_197 ),
inference(avatar_split_clause,[],[f3829,f3238,f1487,f398,f276,f271,f12487]) ).
fof(f12487,plain,
( spl5_650
<=> smndt0(xS) = sdtasdt0(xD,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_650])]) ).
fof(f3238,plain,
( spl5_197
<=> ! [X17] :
( sdtasdt0(X17,smndt0(xF)) = smndt0(sdtasdt0(X17,xF))
| ~ aScalar0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_197])]) ).
fof(f3829,plain,
( smndt0(xS) = sdtasdt0(xD,smndt0(xF))
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_154
| ~ spl5_197 ),
inference(forward_demodulation,[],[f3815,f1843]) ).
fof(f3815,plain,
( sdtasdt0(xD,smndt0(xF)) = smndt0(sdtasdt0(xD,xF))
| ~ spl5_9
| ~ spl5_197 ),
inference(resolution,[],[f3239,f278]) ).
fof(f3239,plain,
( ! [X17] :
( ~ aScalar0(X17)
| sdtasdt0(X17,smndt0(xF)) = smndt0(sdtasdt0(X17,xF)) )
| ~ spl5_197 ),
inference(avatar_component_clause,[],[f3238]) ).
fof(f12485,plain,
( spl5_649
| ~ spl5_7
| ~ spl5_35
| ~ spl5_155
| ~ spl5_196 ),
inference(avatar_split_clause,[],[f3805,f3234,f1491,f418,f266,f12482]) ).
fof(f12482,plain,
( spl5_649
<=> smndt0(xP) = sdtasdt0(xH,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_649])]) ).
fof(f3234,plain,
( spl5_196
<=> ! [X16] :
( sdtasdt0(X16,smndt0(xE)) = smndt0(sdtasdt0(X16,xE))
| ~ aScalar0(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_196])]) ).
fof(f3805,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ spl5_7
| ~ spl5_35
| ~ spl5_155
| ~ spl5_196 ),
inference(forward_demodulation,[],[f3798,f1863]) ).
fof(f3798,plain,
( sdtasdt0(xH,smndt0(xE)) = smndt0(sdtasdt0(xH,xE))
| ~ spl5_7
| ~ spl5_196 ),
inference(resolution,[],[f3235,f268]) ).
fof(f3235,plain,
( ! [X16] :
( ~ aScalar0(X16)
| sdtasdt0(X16,smndt0(xE)) = smndt0(sdtasdt0(X16,xE)) )
| ~ spl5_196 ),
inference(avatar_component_clause,[],[f3234]) ).
fof(f12480,plain,
( spl5_648
| ~ spl5_8
| ~ spl5_31
| ~ spl5_195 ),
inference(avatar_split_clause,[],[f3780,f3230,f398,f271,f12477]) ).
fof(f12477,plain,
( spl5_648
<=> smndt0(xS) = sdtasdt0(xF,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_648])]) ).
fof(f3230,plain,
( spl5_195
<=> ! [X15] :
( sdtasdt0(X15,smndt0(xD)) = smndt0(sdtasdt0(X15,xD))
| ~ aScalar0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_195])]) ).
fof(f3780,plain,
( smndt0(xS) = sdtasdt0(xF,smndt0(xD))
| ~ spl5_8
| ~ spl5_31
| ~ spl5_195 ),
inference(forward_demodulation,[],[f3768,f400]) ).
fof(f3768,plain,
( sdtasdt0(xF,smndt0(xD)) = smndt0(sdtasdt0(xF,xD))
| ~ spl5_8
| ~ spl5_195 ),
inference(resolution,[],[f3231,f273]) ).
fof(f3231,plain,
( ! [X15] :
( ~ aScalar0(X15)
| sdtasdt0(X15,smndt0(xD)) = smndt0(sdtasdt0(X15,xD)) )
| ~ spl5_195 ),
inference(avatar_component_clause,[],[f3230]) ).
fof(f12475,plain,
( spl5_647
| ~ spl5_6
| ~ spl5_32
| ~ spl5_153
| ~ spl5_193 ),
inference(avatar_split_clause,[],[f3747,f3221,f1483,f403,f261,f12472]) ).
fof(f12472,plain,
( spl5_647
<=> smndt0(xR) = sdtasdt0(xG,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_647])]) ).
fof(f3221,plain,
( spl5_193
<=> ! [X14] :
( sdtasdt0(X14,smndt0(xC)) = smndt0(sdtasdt0(X14,xC))
| ~ aScalar0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_193])]) ).
fof(f3747,plain,
( smndt0(xR) = sdtasdt0(xG,smndt0(xC))
| ~ spl5_6
| ~ spl5_32
| ~ spl5_153
| ~ spl5_193 ),
inference(forward_demodulation,[],[f3735,f1823]) ).
fof(f3735,plain,
( sdtasdt0(xG,smndt0(xC)) = smndt0(sdtasdt0(xG,xC))
| ~ spl5_6
| ~ spl5_193 ),
inference(resolution,[],[f3222,f263]) ).
fof(f3222,plain,
( ! [X14] :
( ~ aScalar0(X14)
| sdtasdt0(X14,smndt0(xC)) = smndt0(sdtasdt0(X14,xC)) )
| ~ spl5_193 ),
inference(avatar_component_clause,[],[f3221]) ).
fof(f12470,plain,
( spl5_646
| ~ spl5_16
| ~ spl5_26
| ~ spl5_192 ),
inference(avatar_split_clause,[],[f3721,f3217,f373,f311,f12467]) ).
fof(f12467,plain,
( spl5_646
<=> smndt0(xG) = sdtasdt0(xB,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_646])]) ).
fof(f3217,plain,
( spl5_192
<=> ! [X13] :
( sdtasdt0(X13,smndt0(xB)) = smndt0(sdtasdt0(X13,xB))
| ~ aScalar0(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_192])]) ).
fof(f3721,plain,
( smndt0(xG) = sdtasdt0(xB,smndt0(xB))
| ~ spl5_16
| ~ spl5_26
| ~ spl5_192 ),
inference(forward_demodulation,[],[f3707,f375]) ).
fof(f3707,plain,
( sdtasdt0(xB,smndt0(xB)) = smndt0(sdtasdt0(xB,xB))
| ~ spl5_16
| ~ spl5_192 ),
inference(resolution,[],[f3218,f313]) ).
fof(f3218,plain,
( ! [X13] :
( ~ aScalar0(X13)
| sdtasdt0(X13,smndt0(xB)) = smndt0(sdtasdt0(X13,xB)) )
| ~ spl5_192 ),
inference(avatar_component_clause,[],[f3217]) ).
fof(f12465,plain,
( spl5_645
| ~ spl5_17
| ~ spl5_27
| ~ spl5_192 ),
inference(avatar_split_clause,[],[f3720,f3217,f378,f316,f12462]) ).
fof(f12462,plain,
( spl5_645
<=> smndt0(xH) = sdtasdt0(xA,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_645])]) ).
fof(f3720,plain,
( smndt0(xH) = sdtasdt0(xA,smndt0(xB))
| ~ spl5_17
| ~ spl5_27
| ~ spl5_192 ),
inference(forward_demodulation,[],[f3706,f380]) ).
fof(f3706,plain,
( sdtasdt0(xA,smndt0(xB)) = smndt0(sdtasdt0(xA,xB))
| ~ spl5_17
| ~ spl5_192 ),
inference(resolution,[],[f3218,f318]) ).
fof(f12460,plain,
( spl5_644
| ~ spl5_16
| ~ spl5_27
| ~ spl5_151
| ~ spl5_191 ),
inference(avatar_split_clause,[],[f3698,f3213,f1475,f378,f311,f12457]) ).
fof(f12457,plain,
( spl5_644
<=> smndt0(xH) = sdtasdt0(xB,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_644])]) ).
fof(f3213,plain,
( spl5_191
<=> ! [X12] :
( sdtasdt0(X12,smndt0(xA)) = smndt0(sdtasdt0(X12,xA))
| ~ aScalar0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_191])]) ).
fof(f3698,plain,
( smndt0(xH) = sdtasdt0(xB,smndt0(xA))
| ~ spl5_16
| ~ spl5_27
| ~ spl5_151
| ~ spl5_191 ),
inference(forward_demodulation,[],[f3684,f1778]) ).
fof(f3684,plain,
( sdtasdt0(xB,smndt0(xA)) = smndt0(sdtasdt0(xB,xA))
| ~ spl5_16
| ~ spl5_191 ),
inference(resolution,[],[f3214,f313]) ).
fof(f3214,plain,
( ! [X12] :
( ~ aScalar0(X12)
| sdtasdt0(X12,smndt0(xA)) = smndt0(sdtasdt0(X12,xA)) )
| ~ spl5_191 ),
inference(avatar_component_clause,[],[f3213]) ).
fof(f12455,plain,
( spl5_643
| ~ spl5_17
| ~ spl5_28
| ~ spl5_191 ),
inference(avatar_split_clause,[],[f3697,f3213,f383,f316,f12452]) ).
fof(f12452,plain,
( spl5_643
<=> smndt0(xF) = sdtasdt0(xA,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_643])]) ).
fof(f3697,plain,
( smndt0(xF) = sdtasdt0(xA,smndt0(xA))
| ~ spl5_17
| ~ spl5_28
| ~ spl5_191 ),
inference(forward_demodulation,[],[f3683,f385]) ).
fof(f3683,plain,
( sdtasdt0(xA,smndt0(xA)) = smndt0(sdtasdt0(xA,xA))
| ~ spl5_17
| ~ spl5_191 ),
inference(resolution,[],[f3214,f318]) ).
fof(f12450,plain,
( spl5_642
| ~ spl5_12
| ~ spl5_33
| ~ spl5_189 ),
inference(avatar_split_clause,[],[f3652,f3205,f408,f291,f12447]) ).
fof(f12447,plain,
( spl5_642
<=> xN = sdtasdt0(smndt0(xR),smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_642])]) ).
fof(f3205,plain,
( spl5_189
<=> ! [X22] :
( sdtasdt0(X22,xS) = sdtasdt0(smndt0(X22),smndt0(xS))
| ~ aScalar0(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_189])]) ).
fof(f3652,plain,
( xN = sdtasdt0(smndt0(xR),smndt0(xS))
| ~ spl5_12
| ~ spl5_33
| ~ spl5_189 ),
inference(forward_demodulation,[],[f3643,f410]) ).
fof(f3643,plain,
( sdtasdt0(xR,xS) = sdtasdt0(smndt0(xR),smndt0(xS))
| ~ spl5_12
| ~ spl5_189 ),
inference(resolution,[],[f3206,f293]) ).
fof(f3206,plain,
( ! [X22] :
( ~ aScalar0(X22)
| sdtasdt0(X22,xS) = sdtasdt0(smndt0(X22),smndt0(xS)) )
| ~ spl5_189 ),
inference(avatar_component_clause,[],[f3205]) ).
fof(f12445,plain,
( spl5_641
| ~ spl5_11
| ~ spl5_33
| ~ spl5_160
| ~ spl5_187 ),
inference(avatar_split_clause,[],[f3602,f3197,f1512,f408,f286,f12442]) ).
fof(f12442,plain,
( spl5_641
<=> xN = sdtasdt0(smndt0(xS),smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_641])]) ).
fof(f3197,plain,
( spl5_187
<=> ! [X20] :
( sdtasdt0(X20,xR) = sdtasdt0(smndt0(X20),smndt0(xR))
| ~ aScalar0(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_187])]) ).
fof(f3602,plain,
( xN = sdtasdt0(smndt0(xS),smndt0(xR))
| ~ spl5_11
| ~ spl5_33
| ~ spl5_160
| ~ spl5_187 ),
inference(forward_demodulation,[],[f3594,f1943]) ).
fof(f3594,plain,
( sdtasdt0(xS,xR) = sdtasdt0(smndt0(xS),smndt0(xR))
| ~ spl5_11
| ~ spl5_187 ),
inference(resolution,[],[f3198,f288]) ).
fof(f3198,plain,
( ! [X20] :
( ~ aScalar0(X20)
| sdtasdt0(X20,xR) = sdtasdt0(smndt0(X20),smndt0(xR)) )
| ~ spl5_187 ),
inference(avatar_component_clause,[],[f3197]) ).
fof(f12440,plain,
( spl5_640
| ~ spl5_15
| ~ spl5_35
| ~ spl5_186 ),
inference(avatar_split_clause,[],[f3573,f3193,f418,f306,f12437]) ).
fof(f12437,plain,
( spl5_640
<=> xP = sdtasdt0(smndt0(xE),smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_640])]) ).
fof(f3193,plain,
( spl5_186
<=> ! [X19] :
( sdtasdt0(X19,xH) = sdtasdt0(smndt0(X19),smndt0(xH))
| ~ aScalar0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_186])]) ).
fof(f3573,plain,
( xP = sdtasdt0(smndt0(xE),smndt0(xH))
| ~ spl5_15
| ~ spl5_35
| ~ spl5_186 ),
inference(forward_demodulation,[],[f3559,f420]) ).
fof(f3559,plain,
( sdtasdt0(xE,xH) = sdtasdt0(smndt0(xE),smndt0(xH))
| ~ spl5_15
| ~ spl5_186 ),
inference(resolution,[],[f3194,f308]) ).
fof(f3194,plain,
( ! [X19] :
( ~ aScalar0(X19)
| sdtasdt0(X19,xH) = sdtasdt0(smndt0(X19),smndt0(xH)) )
| ~ spl5_186 ),
inference(avatar_component_clause,[],[f3193]) ).
fof(f12435,plain,
( spl5_639
| ~ spl5_10
| ~ spl5_32
| ~ spl5_185 ),
inference(avatar_split_clause,[],[f3541,f3189,f403,f281,f12432]) ).
fof(f12432,plain,
( spl5_639
<=> xR = sdtasdt0(smndt0(xC),smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_639])]) ).
fof(f3189,plain,
( spl5_185
<=> ! [X18] :
( sdtasdt0(X18,xG) = sdtasdt0(smndt0(X18),smndt0(xG))
| ~ aScalar0(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_185])]) ).
fof(f3541,plain,
( xR = sdtasdt0(smndt0(xC),smndt0(xG))
| ~ spl5_10
| ~ spl5_32
| ~ spl5_185 ),
inference(forward_demodulation,[],[f3527,f405]) ).
fof(f3527,plain,
( sdtasdt0(xC,xG) = sdtasdt0(smndt0(xC),smndt0(xG))
| ~ spl5_10
| ~ spl5_185 ),
inference(resolution,[],[f3190,f283]) ).
fof(f3190,plain,
( ! [X18] :
( ~ aScalar0(X18)
| sdtasdt0(X18,xG) = sdtasdt0(smndt0(X18),smndt0(xG)) )
| ~ spl5_185 ),
inference(avatar_component_clause,[],[f3189]) ).
fof(f12430,plain,
( spl5_638
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_154
| ~ spl5_184 ),
inference(avatar_split_clause,[],[f3511,f3185,f1487,f398,f276,f271,f12427]) ).
fof(f12427,plain,
( spl5_638
<=> xS = sdtasdt0(smndt0(xD),smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_638])]) ).
fof(f3185,plain,
( spl5_184
<=> ! [X17] :
( sdtasdt0(X17,xF) = sdtasdt0(smndt0(X17),smndt0(xF))
| ~ aScalar0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_184])]) ).
fof(f3511,plain,
( xS = sdtasdt0(smndt0(xD),smndt0(xF))
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_154
| ~ spl5_184 ),
inference(forward_demodulation,[],[f3497,f1843]) ).
fof(f3497,plain,
( sdtasdt0(xD,xF) = sdtasdt0(smndt0(xD),smndt0(xF))
| ~ spl5_9
| ~ spl5_184 ),
inference(resolution,[],[f3186,f278]) ).
fof(f3186,plain,
( ! [X17] :
( ~ aScalar0(X17)
| sdtasdt0(X17,xF) = sdtasdt0(smndt0(X17),smndt0(xF)) )
| ~ spl5_184 ),
inference(avatar_component_clause,[],[f3185]) ).
fof(f12425,plain,
( spl5_637
| ~ spl5_7
| ~ spl5_35
| ~ spl5_155
| ~ spl5_182 ),
inference(avatar_split_clause,[],[f3482,f3176,f1491,f418,f266,f12422]) ).
fof(f12422,plain,
( spl5_637
<=> xP = sdtasdt0(smndt0(xH),smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_637])]) ).
fof(f3176,plain,
( spl5_182
<=> ! [X16] :
( sdtasdt0(X16,xE) = sdtasdt0(smndt0(X16),smndt0(xE))
| ~ aScalar0(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_182])]) ).
fof(f3482,plain,
( xP = sdtasdt0(smndt0(xH),smndt0(xE))
| ~ spl5_7
| ~ spl5_35
| ~ spl5_155
| ~ spl5_182 ),
inference(forward_demodulation,[],[f3475,f1863]) ).
fof(f3475,plain,
( sdtasdt0(xH,xE) = sdtasdt0(smndt0(xH),smndt0(xE))
| ~ spl5_7
| ~ spl5_182 ),
inference(resolution,[],[f3177,f268]) ).
fof(f3177,plain,
( ! [X16] :
( ~ aScalar0(X16)
| sdtasdt0(X16,xE) = sdtasdt0(smndt0(X16),smndt0(xE)) )
| ~ spl5_182 ),
inference(avatar_component_clause,[],[f3176]) ).
fof(f12420,plain,
( spl5_636
| ~ spl5_8
| ~ spl5_31
| ~ spl5_181 ),
inference(avatar_split_clause,[],[f3457,f3172,f398,f271,f12417]) ).
fof(f12417,plain,
( spl5_636
<=> xS = sdtasdt0(smndt0(xF),smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_636])]) ).
fof(f3172,plain,
( spl5_181
<=> ! [X15] :
( sdtasdt0(X15,xD) = sdtasdt0(smndt0(X15),smndt0(xD))
| ~ aScalar0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_181])]) ).
fof(f3457,plain,
( xS = sdtasdt0(smndt0(xF),smndt0(xD))
| ~ spl5_8
| ~ spl5_31
| ~ spl5_181 ),
inference(forward_demodulation,[],[f3445,f400]) ).
fof(f3445,plain,
( sdtasdt0(xF,xD) = sdtasdt0(smndt0(xF),smndt0(xD))
| ~ spl5_8
| ~ spl5_181 ),
inference(resolution,[],[f3173,f273]) ).
fof(f3173,plain,
( ! [X15] :
( ~ aScalar0(X15)
| sdtasdt0(X15,xD) = sdtasdt0(smndt0(X15),smndt0(xD)) )
| ~ spl5_181 ),
inference(avatar_component_clause,[],[f3172]) ).
fof(f12415,plain,
( spl5_635
| ~ spl5_6
| ~ spl5_32
| ~ spl5_153
| ~ spl5_180 ),
inference(avatar_split_clause,[],[f3429,f3168,f1483,f403,f261,f12412]) ).
fof(f12412,plain,
( spl5_635
<=> xR = sdtasdt0(smndt0(xG),smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_635])]) ).
fof(f3168,plain,
( spl5_180
<=> ! [X14] :
( sdtasdt0(X14,xC) = sdtasdt0(smndt0(X14),smndt0(xC))
| ~ aScalar0(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_180])]) ).
fof(f3429,plain,
( xR = sdtasdt0(smndt0(xG),smndt0(xC))
| ~ spl5_6
| ~ spl5_32
| ~ spl5_153
| ~ spl5_180 ),
inference(forward_demodulation,[],[f3417,f1823]) ).
fof(f3417,plain,
( sdtasdt0(xG,xC) = sdtasdt0(smndt0(xG),smndt0(xC))
| ~ spl5_6
| ~ spl5_180 ),
inference(resolution,[],[f3169,f263]) ).
fof(f3169,plain,
( ! [X14] :
( ~ aScalar0(X14)
| sdtasdt0(X14,xC) = sdtasdt0(smndt0(X14),smndt0(xC)) )
| ~ spl5_180 ),
inference(avatar_component_clause,[],[f3168]) ).
fof(f12410,plain,
( spl5_634
| ~ spl5_16
| ~ spl5_26
| ~ spl5_179 ),
inference(avatar_split_clause,[],[f3403,f3164,f373,f311,f12407]) ).
fof(f12407,plain,
( spl5_634
<=> xG = sdtasdt0(smndt0(xB),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_634])]) ).
fof(f3164,plain,
( spl5_179
<=> ! [X13] :
( sdtasdt0(X13,xB) = sdtasdt0(smndt0(X13),smndt0(xB))
| ~ aScalar0(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_179])]) ).
fof(f3403,plain,
( xG = sdtasdt0(smndt0(xB),smndt0(xB))
| ~ spl5_16
| ~ spl5_26
| ~ spl5_179 ),
inference(forward_demodulation,[],[f3389,f375]) ).
fof(f3389,plain,
( sdtasdt0(xB,xB) = sdtasdt0(smndt0(xB),smndt0(xB))
| ~ spl5_16
| ~ spl5_179 ),
inference(resolution,[],[f3165,f313]) ).
fof(f3165,plain,
( ! [X13] :
( ~ aScalar0(X13)
| sdtasdt0(X13,xB) = sdtasdt0(smndt0(X13),smndt0(xB)) )
| ~ spl5_179 ),
inference(avatar_component_clause,[],[f3164]) ).
fof(f12405,plain,
( spl5_633
| ~ spl5_17
| ~ spl5_27
| ~ spl5_179 ),
inference(avatar_split_clause,[],[f3402,f3164,f378,f316,f12402]) ).
fof(f12402,plain,
( spl5_633
<=> xH = sdtasdt0(smndt0(xA),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_633])]) ).
fof(f3402,plain,
( xH = sdtasdt0(smndt0(xA),smndt0(xB))
| ~ spl5_17
| ~ spl5_27
| ~ spl5_179 ),
inference(forward_demodulation,[],[f3388,f380]) ).
fof(f3388,plain,
( sdtasdt0(xA,xB) = sdtasdt0(smndt0(xA),smndt0(xB))
| ~ spl5_17
| ~ spl5_179 ),
inference(resolution,[],[f3165,f318]) ).
fof(f12400,plain,
( spl5_632
| ~ spl5_16
| ~ spl5_27
| ~ spl5_151
| ~ spl5_178 ),
inference(avatar_split_clause,[],[f3380,f3160,f1475,f378,f311,f12397]) ).
fof(f12397,plain,
( spl5_632
<=> xH = sdtasdt0(smndt0(xB),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_632])]) ).
fof(f3160,plain,
( spl5_178
<=> ! [X12] :
( sdtasdt0(X12,xA) = sdtasdt0(smndt0(X12),smndt0(xA))
| ~ aScalar0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_178])]) ).
fof(f3380,plain,
( xH = sdtasdt0(smndt0(xB),smndt0(xA))
| ~ spl5_16
| ~ spl5_27
| ~ spl5_151
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3366,f1778]) ).
fof(f3366,plain,
( sdtasdt0(xB,xA) = sdtasdt0(smndt0(xB),smndt0(xA))
| ~ spl5_16
| ~ spl5_178 ),
inference(resolution,[],[f3161,f313]) ).
fof(f3161,plain,
( ! [X12] :
( ~ aScalar0(X12)
| sdtasdt0(X12,xA) = sdtasdt0(smndt0(X12),smndt0(xA)) )
| ~ spl5_178 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f12395,plain,
( spl5_631
| ~ spl5_17
| ~ spl5_28
| ~ spl5_178 ),
inference(avatar_split_clause,[],[f3379,f3160,f383,f316,f12392]) ).
fof(f12392,plain,
( spl5_631
<=> xF = sdtasdt0(smndt0(xA),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_631])]) ).
fof(f3379,plain,
( xF = sdtasdt0(smndt0(xA),smndt0(xA))
| ~ spl5_17
| ~ spl5_28
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3365,f385]) ).
fof(f3365,plain,
( sdtasdt0(xA,xA) = sdtasdt0(smndt0(xA),smndt0(xA))
| ~ spl5_17
| ~ spl5_178 ),
inference(resolution,[],[f3161,f318]) ).
fof(f12390,plain,
( spl5_630
| ~ spl5_13
| ~ spl5_162 ),
inference(avatar_split_clause,[],[f1980,f1520,f296,f12387]) ).
fof(f12387,plain,
( spl5_630
<=> sdtasdt0(xN,xS) = sdtasdt0(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_630])]) ).
fof(f296,plain,
( spl5_13
<=> aScalar0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f1520,plain,
( spl5_162
<=> ! [X22] :
( ~ aScalar0(X22)
| sdtasdt0(X22,xS) = sdtasdt0(xS,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_162])]) ).
fof(f1980,plain,
( sdtasdt0(xN,xS) = sdtasdt0(xS,xN)
| ~ spl5_13
| ~ spl5_162 ),
inference(resolution,[],[f1521,f298]) ).
fof(f298,plain,
( aScalar0(xN)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f1521,plain,
( ! [X22] :
( ~ aScalar0(X22)
| sdtasdt0(X22,xS) = sdtasdt0(xS,X22) )
| ~ spl5_162 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f12385,plain,
( spl5_629
| ~ spl5_13
| ~ spl5_161 ),
inference(avatar_split_clause,[],[f1961,f1516,f296,f12382]) ).
fof(f12382,plain,
( spl5_629
<=> sdtasdt0(xN,xP) = sdtasdt0(xP,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_629])]) ).
fof(f1516,plain,
( spl5_161
<=> ! [X21] :
( ~ aScalar0(X21)
| sdtasdt0(X21,xP) = sdtasdt0(xP,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_161])]) ).
fof(f1961,plain,
( sdtasdt0(xN,xP) = sdtasdt0(xP,xN)
| ~ spl5_13
| ~ spl5_161 ),
inference(resolution,[],[f1517,f298]) ).
fof(f1517,plain,
( ! [X21] :
( ~ aScalar0(X21)
| sdtasdt0(X21,xP) = sdtasdt0(xP,X21) )
| ~ spl5_161 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f12380,plain,
( spl5_628
| ~ spl5_11
| ~ spl5_161 ),
inference(avatar_split_clause,[],[f1960,f1516,f286,f12377]) ).
fof(f12377,plain,
( spl5_628
<=> sdtasdt0(xS,xP) = sdtasdt0(xP,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_628])]) ).
fof(f1960,plain,
( sdtasdt0(xS,xP) = sdtasdt0(xP,xS)
| ~ spl5_11
| ~ spl5_161 ),
inference(resolution,[],[f1517,f288]) ).
fof(f12375,plain,
( spl5_627
| ~ spl5_13
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f1941,f1512,f296,f12372]) ).
fof(f12372,plain,
( spl5_627
<=> sdtasdt0(xN,xR) = sdtasdt0(xR,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_627])]) ).
fof(f1941,plain,
( sdtasdt0(xN,xR) = sdtasdt0(xR,xN)
| ~ spl5_13
| ~ spl5_160 ),
inference(resolution,[],[f1513,f298]) ).
fof(f12370,plain,
( spl5_626
| ~ spl5_14
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f1939,f1512,f301,f12367]) ).
fof(f12367,plain,
( spl5_626
<=> sdtasdt0(xP,xR) = sdtasdt0(xR,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_626])]) ).
fof(f301,plain,
( spl5_14
<=> aScalar0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f1939,plain,
( sdtasdt0(xP,xR) = sdtasdt0(xR,xP)
| ~ spl5_14
| ~ spl5_160 ),
inference(resolution,[],[f1513,f303]) ).
fof(f303,plain,
( aScalar0(xP)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f12365,plain,
( spl5_625
| ~ spl5_13
| ~ spl5_159 ),
inference(avatar_split_clause,[],[f1921,f1508,f296,f12362]) ).
fof(f12362,plain,
( spl5_625
<=> sdtasdt0(xN,xH) = sdtasdt0(xH,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_625])]) ).
fof(f1508,plain,
( spl5_159
<=> ! [X19] :
( ~ aScalar0(X19)
| sdtasdt0(X19,xH) = sdtasdt0(xH,X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_159])]) ).
fof(f1921,plain,
( sdtasdt0(xN,xH) = sdtasdt0(xH,xN)
| ~ spl5_13
| ~ spl5_159 ),
inference(resolution,[],[f1509,f298]) ).
fof(f1509,plain,
( ! [X19] :
( ~ aScalar0(X19)
| sdtasdt0(X19,xH) = sdtasdt0(xH,X19) )
| ~ spl5_159 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f12360,plain,
( spl5_624
| ~ spl5_11
| ~ spl5_159 ),
inference(avatar_split_clause,[],[f1920,f1508,f286,f12357]) ).
fof(f12357,plain,
( spl5_624
<=> sdtasdt0(xS,xH) = sdtasdt0(xH,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_624])]) ).
fof(f1920,plain,
( sdtasdt0(xS,xH) = sdtasdt0(xH,xS)
| ~ spl5_11
| ~ spl5_159 ),
inference(resolution,[],[f1509,f288]) ).
fof(f12355,plain,
( spl5_623
| ~ spl5_14
| ~ spl5_159 ),
inference(avatar_split_clause,[],[f1919,f1508,f301,f12352]) ).
fof(f12352,plain,
( spl5_623
<=> sdtasdt0(xP,xH) = sdtasdt0(xH,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_623])]) ).
fof(f1919,plain,
( sdtasdt0(xP,xH) = sdtasdt0(xH,xP)
| ~ spl5_14
| ~ spl5_159 ),
inference(resolution,[],[f1509,f303]) ).
fof(f12350,plain,
( spl5_622
| ~ spl5_12
| ~ spl5_159 ),
inference(avatar_split_clause,[],[f1918,f1508,f291,f12347]) ).
fof(f12347,plain,
( spl5_622
<=> sdtasdt0(xR,xH) = sdtasdt0(xH,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_622])]) ).
fof(f1918,plain,
( sdtasdt0(xR,xH) = sdtasdt0(xH,xR)
| ~ spl5_12
| ~ spl5_159 ),
inference(resolution,[],[f1509,f293]) ).
fof(f12345,plain,
( spl5_621
| ~ spl5_13
| ~ spl5_158 ),
inference(avatar_split_clause,[],[f1901,f1504,f296,f12342]) ).
fof(f12342,plain,
( spl5_621
<=> sdtasdt0(xN,xG) = sdtasdt0(xG,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_621])]) ).
fof(f1504,plain,
( spl5_158
<=> ! [X18] :
( ~ aScalar0(X18)
| sdtasdt0(X18,xG) = sdtasdt0(xG,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_158])]) ).
fof(f1901,plain,
( sdtasdt0(xN,xG) = sdtasdt0(xG,xN)
| ~ spl5_13
| ~ spl5_158 ),
inference(resolution,[],[f1505,f298]) ).
fof(f1505,plain,
( ! [X18] :
( ~ aScalar0(X18)
| sdtasdt0(X18,xG) = sdtasdt0(xG,X18) )
| ~ spl5_158 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f12340,plain,
( spl5_620
| ~ spl5_11
| ~ spl5_158 ),
inference(avatar_split_clause,[],[f1900,f1504,f286,f12337]) ).
fof(f12337,plain,
( spl5_620
<=> sdtasdt0(xS,xG) = sdtasdt0(xG,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_620])]) ).
fof(f1900,plain,
( sdtasdt0(xS,xG) = sdtasdt0(xG,xS)
| ~ spl5_11
| ~ spl5_158 ),
inference(resolution,[],[f1505,f288]) ).
fof(f12335,plain,
( spl5_619
| ~ spl5_14
| ~ spl5_158 ),
inference(avatar_split_clause,[],[f1899,f1504,f301,f12332]) ).
fof(f12332,plain,
( spl5_619
<=> sdtasdt0(xP,xG) = sdtasdt0(xG,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_619])]) ).
fof(f1899,plain,
( sdtasdt0(xP,xG) = sdtasdt0(xG,xP)
| ~ spl5_14
| ~ spl5_158 ),
inference(resolution,[],[f1505,f303]) ).
fof(f12330,plain,
( spl5_618
| ~ spl5_12
| ~ spl5_158 ),
inference(avatar_split_clause,[],[f1898,f1504,f291,f12327]) ).
fof(f12327,plain,
( spl5_618
<=> sdtasdt0(xR,xG) = sdtasdt0(xG,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_618])]) ).
fof(f1898,plain,
( sdtasdt0(xR,xG) = sdtasdt0(xG,xR)
| ~ spl5_12
| ~ spl5_158 ),
inference(resolution,[],[f1505,f293]) ).
fof(f12325,plain,
( spl5_617
| ~ spl5_7
| ~ spl5_158 ),
inference(avatar_split_clause,[],[f1897,f1504,f266,f12322]) ).
fof(f12322,plain,
( spl5_617
<=> sdtasdt0(xH,xG) = sdtasdt0(xG,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_617])]) ).
fof(f1897,plain,
( sdtasdt0(xH,xG) = sdtasdt0(xG,xH)
| ~ spl5_7
| ~ spl5_158 ),
inference(resolution,[],[f1505,f268]) ).
fof(f12320,plain,
( spl5_616
| ~ spl5_13
| ~ spl5_157 ),
inference(avatar_split_clause,[],[f1881,f1500,f296,f12317]) ).
fof(f12317,plain,
( spl5_616
<=> sdtasdt0(xN,xF) = sdtasdt0(xF,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_616])]) ).
fof(f1500,plain,
( spl5_157
<=> ! [X17] :
( ~ aScalar0(X17)
| sdtasdt0(X17,xF) = sdtasdt0(xF,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_157])]) ).
fof(f1881,plain,
( sdtasdt0(xN,xF) = sdtasdt0(xF,xN)
| ~ spl5_13
| ~ spl5_157 ),
inference(resolution,[],[f1501,f298]) ).
fof(f1501,plain,
( ! [X17] :
( ~ aScalar0(X17)
| sdtasdt0(X17,xF) = sdtasdt0(xF,X17) )
| ~ spl5_157 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f12315,plain,
( spl5_615
| ~ spl5_11
| ~ spl5_157 ),
inference(avatar_split_clause,[],[f1880,f1500,f286,f12312]) ).
fof(f12312,plain,
( spl5_615
<=> sdtasdt0(xS,xF) = sdtasdt0(xF,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_615])]) ).
fof(f1880,plain,
( sdtasdt0(xS,xF) = sdtasdt0(xF,xS)
| ~ spl5_11
| ~ spl5_157 ),
inference(resolution,[],[f1501,f288]) ).
fof(f12310,plain,
( spl5_614
| ~ spl5_14
| ~ spl5_157 ),
inference(avatar_split_clause,[],[f1879,f1500,f301,f12307]) ).
fof(f12307,plain,
( spl5_614
<=> sdtasdt0(xP,xF) = sdtasdt0(xF,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_614])]) ).
fof(f1879,plain,
( sdtasdt0(xP,xF) = sdtasdt0(xF,xP)
| ~ spl5_14
| ~ spl5_157 ),
inference(resolution,[],[f1501,f303]) ).
fof(f12305,plain,
( spl5_613
| ~ spl5_12
| ~ spl5_157 ),
inference(avatar_split_clause,[],[f1878,f1500,f291,f12302]) ).
fof(f12302,plain,
( spl5_613
<=> sdtasdt0(xR,xF) = sdtasdt0(xF,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_613])]) ).
fof(f1878,plain,
( sdtasdt0(xR,xF) = sdtasdt0(xF,xR)
| ~ spl5_12
| ~ spl5_157 ),
inference(resolution,[],[f1501,f293]) ).
fof(f12300,plain,
( spl5_612
| ~ spl5_7
| ~ spl5_157 ),
inference(avatar_split_clause,[],[f1877,f1500,f266,f12297]) ).
fof(f12297,plain,
( spl5_612
<=> sdtasdt0(xH,xF) = sdtasdt0(xF,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_612])]) ).
fof(f1877,plain,
( sdtasdt0(xH,xF) = sdtasdt0(xF,xH)
| ~ spl5_7
| ~ spl5_157 ),
inference(resolution,[],[f1501,f268]) ).
fof(f12295,plain,
( spl5_611
| ~ spl5_6
| ~ spl5_157 ),
inference(avatar_split_clause,[],[f1876,f1500,f261,f12292]) ).
fof(f12292,plain,
( spl5_611
<=> sdtasdt0(xG,xF) = sdtasdt0(xF,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_611])]) ).
fof(f1876,plain,
( sdtasdt0(xG,xF) = sdtasdt0(xF,xG)
| ~ spl5_6
| ~ spl5_157 ),
inference(resolution,[],[f1501,f263]) ).
fof(f12290,plain,
( spl5_610
| ~ spl5_13
| ~ spl5_155 ),
inference(avatar_split_clause,[],[f1861,f1491,f296,f12287]) ).
fof(f12287,plain,
( spl5_610
<=> sdtasdt0(xN,xE) = sdtasdt0(xE,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_610])]) ).
fof(f1861,plain,
( sdtasdt0(xN,xE) = sdtasdt0(xE,xN)
| ~ spl5_13
| ~ spl5_155 ),
inference(resolution,[],[f1492,f298]) ).
fof(f12285,plain,
( spl5_609
| ~ spl5_11
| ~ spl5_155 ),
inference(avatar_split_clause,[],[f1860,f1491,f286,f12282]) ).
fof(f12282,plain,
( spl5_609
<=> sdtasdt0(xS,xE) = sdtasdt0(xE,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_609])]) ).
fof(f1860,plain,
( sdtasdt0(xS,xE) = sdtasdt0(xE,xS)
| ~ spl5_11
| ~ spl5_155 ),
inference(resolution,[],[f1492,f288]) ).
fof(f12280,plain,
( spl5_608
| ~ spl5_14
| ~ spl5_155 ),
inference(avatar_split_clause,[],[f1859,f1491,f301,f12277]) ).
fof(f12277,plain,
( spl5_608
<=> sdtasdt0(xP,xE) = sdtasdt0(xE,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_608])]) ).
fof(f1859,plain,
( sdtasdt0(xP,xE) = sdtasdt0(xE,xP)
| ~ spl5_14
| ~ spl5_155 ),
inference(resolution,[],[f1492,f303]) ).
fof(f12275,plain,
( spl5_607
| ~ spl5_12
| ~ spl5_155 ),
inference(avatar_split_clause,[],[f1858,f1491,f291,f12272]) ).
fof(f12272,plain,
( spl5_607
<=> sdtasdt0(xR,xE) = sdtasdt0(xE,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_607])]) ).
fof(f1858,plain,
( sdtasdt0(xR,xE) = sdtasdt0(xE,xR)
| ~ spl5_12
| ~ spl5_155 ),
inference(resolution,[],[f1492,f293]) ).
fof(f12270,plain,
( spl5_606
| ~ spl5_6
| ~ spl5_155 ),
inference(avatar_split_clause,[],[f1856,f1491,f261,f12267]) ).
fof(f12267,plain,
( spl5_606
<=> sdtasdt0(xG,xE) = sdtasdt0(xE,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_606])]) ).
fof(f1856,plain,
( sdtasdt0(xG,xE) = sdtasdt0(xE,xG)
| ~ spl5_6
| ~ spl5_155 ),
inference(resolution,[],[f1492,f263]) ).
fof(f12265,plain,
( spl5_605
| ~ spl5_8
| ~ spl5_155 ),
inference(avatar_split_clause,[],[f1855,f1491,f271,f12262]) ).
fof(f12262,plain,
( spl5_605
<=> sdtasdt0(xF,xE) = sdtasdt0(xE,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_605])]) ).
fof(f1855,plain,
( sdtasdt0(xF,xE) = sdtasdt0(xE,xF)
| ~ spl5_8
| ~ spl5_155 ),
inference(resolution,[],[f1492,f273]) ).
fof(f12260,plain,
( spl5_604
| ~ spl5_13
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1841,f1487,f296,f12257]) ).
fof(f12257,plain,
( spl5_604
<=> sdtasdt0(xN,xD) = sdtasdt0(xD,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_604])]) ).
fof(f1841,plain,
( sdtasdt0(xN,xD) = sdtasdt0(xD,xN)
| ~ spl5_13
| ~ spl5_154 ),
inference(resolution,[],[f1488,f298]) ).
fof(f12255,plain,
( spl5_603
| ~ spl5_11
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1840,f1487,f286,f12252]) ).
fof(f12252,plain,
( spl5_603
<=> sdtasdt0(xS,xD) = sdtasdt0(xD,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_603])]) ).
fof(f1840,plain,
( sdtasdt0(xS,xD) = sdtasdt0(xD,xS)
| ~ spl5_11
| ~ spl5_154 ),
inference(resolution,[],[f1488,f288]) ).
fof(f12250,plain,
( spl5_602
| ~ spl5_14
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1839,f1487,f301,f12247]) ).
fof(f12247,plain,
( spl5_602
<=> sdtasdt0(xP,xD) = sdtasdt0(xD,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_602])]) ).
fof(f1839,plain,
( sdtasdt0(xP,xD) = sdtasdt0(xD,xP)
| ~ spl5_14
| ~ spl5_154 ),
inference(resolution,[],[f1488,f303]) ).
fof(f12245,plain,
( spl5_601
| ~ spl5_12
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1838,f1487,f291,f12242]) ).
fof(f12242,plain,
( spl5_601
<=> sdtasdt0(xR,xD) = sdtasdt0(xD,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_601])]) ).
fof(f1838,plain,
( sdtasdt0(xR,xD) = sdtasdt0(xD,xR)
| ~ spl5_12
| ~ spl5_154 ),
inference(resolution,[],[f1488,f293]) ).
fof(f12240,plain,
( spl5_600
| ~ spl5_7
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1837,f1487,f266,f12237]) ).
fof(f12237,plain,
( spl5_600
<=> sdtasdt0(xH,xD) = sdtasdt0(xD,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_600])]) ).
fof(f1837,plain,
( sdtasdt0(xH,xD) = sdtasdt0(xD,xH)
| ~ spl5_7
| ~ spl5_154 ),
inference(resolution,[],[f1488,f268]) ).
fof(f12235,plain,
( spl5_599
| ~ spl5_6
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1836,f1487,f261,f12232]) ).
fof(f12232,plain,
( spl5_599
<=> sdtasdt0(xG,xD) = sdtasdt0(xD,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_599])]) ).
fof(f1836,plain,
( sdtasdt0(xG,xD) = sdtasdt0(xD,xG)
| ~ spl5_6
| ~ spl5_154 ),
inference(resolution,[],[f1488,f263]) ).
fof(f12230,plain,
( spl5_598
| ~ spl5_15
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1834,f1487,f306,f12227]) ).
fof(f12227,plain,
( spl5_598
<=> sdtasdt0(xE,xD) = sdtasdt0(xD,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_598])]) ).
fof(f1834,plain,
( sdtasdt0(xE,xD) = sdtasdt0(xD,xE)
| ~ spl5_15
| ~ spl5_154 ),
inference(resolution,[],[f1488,f308]) ).
fof(f12225,plain,
( spl5_597
| ~ spl5_13
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1821,f1483,f296,f12222]) ).
fof(f12222,plain,
( spl5_597
<=> sdtasdt0(xN,xC) = sdtasdt0(xC,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_597])]) ).
fof(f1821,plain,
( sdtasdt0(xN,xC) = sdtasdt0(xC,xN)
| ~ spl5_13
| ~ spl5_153 ),
inference(resolution,[],[f1484,f298]) ).
fof(f12220,plain,
( spl5_596
| ~ spl5_11
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1820,f1483,f286,f12217]) ).
fof(f12217,plain,
( spl5_596
<=> sdtasdt0(xS,xC) = sdtasdt0(xC,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_596])]) ).
fof(f1820,plain,
( sdtasdt0(xS,xC) = sdtasdt0(xC,xS)
| ~ spl5_11
| ~ spl5_153 ),
inference(resolution,[],[f1484,f288]) ).
fof(f12215,plain,
( spl5_595
| ~ spl5_14
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1819,f1483,f301,f12212]) ).
fof(f12212,plain,
( spl5_595
<=> sdtasdt0(xP,xC) = sdtasdt0(xC,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_595])]) ).
fof(f1819,plain,
( sdtasdt0(xP,xC) = sdtasdt0(xC,xP)
| ~ spl5_14
| ~ spl5_153 ),
inference(resolution,[],[f1484,f303]) ).
fof(f12210,plain,
( spl5_594
| ~ spl5_12
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1818,f1483,f291,f12207]) ).
fof(f12207,plain,
( spl5_594
<=> sdtasdt0(xR,xC) = sdtasdt0(xC,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_594])]) ).
fof(f1818,plain,
( sdtasdt0(xR,xC) = sdtasdt0(xC,xR)
| ~ spl5_12
| ~ spl5_153 ),
inference(resolution,[],[f1484,f293]) ).
fof(f12205,plain,
( spl5_593
| ~ spl5_7
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1817,f1483,f266,f12202]) ).
fof(f12202,plain,
( spl5_593
<=> sdtasdt0(xH,xC) = sdtasdt0(xC,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_593])]) ).
fof(f1817,plain,
( sdtasdt0(xH,xC) = sdtasdt0(xC,xH)
| ~ spl5_7
| ~ spl5_153 ),
inference(resolution,[],[f1484,f268]) ).
fof(f12200,plain,
( spl5_592
| ~ spl5_8
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1815,f1483,f271,f12197]) ).
fof(f12197,plain,
( spl5_592
<=> sdtasdt0(xF,xC) = sdtasdt0(xC,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_592])]) ).
fof(f1815,plain,
( sdtasdt0(xF,xC) = sdtasdt0(xC,xF)
| ~ spl5_8
| ~ spl5_153 ),
inference(resolution,[],[f1484,f273]) ).
fof(f12195,plain,
( spl5_591
| ~ spl5_15
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1814,f1483,f306,f12192]) ).
fof(f12192,plain,
( spl5_591
<=> sdtasdt0(xE,xC) = sdtasdt0(xC,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_591])]) ).
fof(f1814,plain,
( sdtasdt0(xE,xC) = sdtasdt0(xC,xE)
| ~ spl5_15
| ~ spl5_153 ),
inference(resolution,[],[f1484,f308]) ).
fof(f12190,plain,
( spl5_590
| ~ spl5_9
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1813,f1483,f276,f12187]) ).
fof(f12187,plain,
( spl5_590
<=> sdtasdt0(xC,xD) = sdtasdt0(xD,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_590])]) ).
fof(f1813,plain,
( sdtasdt0(xC,xD) = sdtasdt0(xD,xC)
| ~ spl5_9
| ~ spl5_153 ),
inference(resolution,[],[f1484,f278]) ).
fof(f12185,plain,
( spl5_589
| ~ spl5_13
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1801,f1479,f296,f12182]) ).
fof(f12182,plain,
( spl5_589
<=> sdtasdt0(xN,xB) = sdtasdt0(xB,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_589])]) ).
fof(f1479,plain,
( spl5_152
<=> ! [X13] :
( ~ aScalar0(X13)
| sdtasdt0(X13,xB) = sdtasdt0(xB,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_152])]) ).
fof(f1801,plain,
( sdtasdt0(xN,xB) = sdtasdt0(xB,xN)
| ~ spl5_13
| ~ spl5_152 ),
inference(resolution,[],[f1480,f298]) ).
fof(f1480,plain,
( ! [X13] :
( ~ aScalar0(X13)
| sdtasdt0(X13,xB) = sdtasdt0(xB,X13) )
| ~ spl5_152 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f12180,plain,
( spl5_588
| ~ spl5_11
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1800,f1479,f286,f12177]) ).
fof(f12177,plain,
( spl5_588
<=> sdtasdt0(xS,xB) = sdtasdt0(xB,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_588])]) ).
fof(f1800,plain,
( sdtasdt0(xS,xB) = sdtasdt0(xB,xS)
| ~ spl5_11
| ~ spl5_152 ),
inference(resolution,[],[f1480,f288]) ).
fof(f12175,plain,
( spl5_587
| ~ spl5_14
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1799,f1479,f301,f12172]) ).
fof(f12172,plain,
( spl5_587
<=> sdtasdt0(xP,xB) = sdtasdt0(xB,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_587])]) ).
fof(f1799,plain,
( sdtasdt0(xP,xB) = sdtasdt0(xB,xP)
| ~ spl5_14
| ~ spl5_152 ),
inference(resolution,[],[f1480,f303]) ).
fof(f12170,plain,
( spl5_586
| ~ spl5_12
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1798,f1479,f291,f12167]) ).
fof(f12167,plain,
( spl5_586
<=> sdtasdt0(xR,xB) = sdtasdt0(xB,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_586])]) ).
fof(f1798,plain,
( sdtasdt0(xR,xB) = sdtasdt0(xB,xR)
| ~ spl5_12
| ~ spl5_152 ),
inference(resolution,[],[f1480,f293]) ).
fof(f12165,plain,
( spl5_585
| ~ spl5_7
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1797,f1479,f266,f12162]) ).
fof(f12162,plain,
( spl5_585
<=> sdtasdt0(xH,xB) = sdtasdt0(xB,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_585])]) ).
fof(f1797,plain,
( sdtasdt0(xH,xB) = sdtasdt0(xB,xH)
| ~ spl5_7
| ~ spl5_152 ),
inference(resolution,[],[f1480,f268]) ).
fof(f12160,plain,
( spl5_584
| ~ spl5_6
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1796,f1479,f261,f12157]) ).
fof(f12157,plain,
( spl5_584
<=> sdtasdt0(xG,xB) = sdtasdt0(xB,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_584])]) ).
fof(f1796,plain,
( sdtasdt0(xG,xB) = sdtasdt0(xB,xG)
| ~ spl5_6
| ~ spl5_152 ),
inference(resolution,[],[f1480,f263]) ).
fof(f12155,plain,
( spl5_583
| ~ spl5_8
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1795,f1479,f271,f12152]) ).
fof(f12152,plain,
( spl5_583
<=> sdtasdt0(xF,xB) = sdtasdt0(xB,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_583])]) ).
fof(f1795,plain,
( sdtasdt0(xF,xB) = sdtasdt0(xB,xF)
| ~ spl5_8
| ~ spl5_152 ),
inference(resolution,[],[f1480,f273]) ).
fof(f12150,plain,
( spl5_582
| ~ spl5_15
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1794,f1479,f306,f12147]) ).
fof(f12147,plain,
( spl5_582
<=> sdtasdt0(xE,xB) = sdtasdt0(xB,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_582])]) ).
fof(f1794,plain,
( sdtasdt0(xE,xB) = sdtasdt0(xB,xE)
| ~ spl5_15
| ~ spl5_152 ),
inference(resolution,[],[f1480,f308]) ).
fof(f12145,plain,
( spl5_581
| ~ spl5_9
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1793,f1479,f276,f12142]) ).
fof(f12142,plain,
( spl5_581
<=> sdtasdt0(xD,xB) = sdtasdt0(xB,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_581])]) ).
fof(f1793,plain,
( sdtasdt0(xD,xB) = sdtasdt0(xB,xD)
| ~ spl5_9
| ~ spl5_152 ),
inference(resolution,[],[f1480,f278]) ).
fof(f12140,plain,
( spl5_580
| ~ spl5_10
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1792,f1479,f281,f12137]) ).
fof(f12137,plain,
( spl5_580
<=> sdtasdt0(xC,xB) = sdtasdt0(xB,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_580])]) ).
fof(f1792,plain,
( sdtasdt0(xC,xB) = sdtasdt0(xB,xC)
| ~ spl5_10
| ~ spl5_152 ),
inference(resolution,[],[f1480,f283]) ).
fof(f12135,plain,
( spl5_579
| ~ spl5_13
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1776,f1475,f296,f12132]) ).
fof(f12132,plain,
( spl5_579
<=> sdtasdt0(xN,xA) = sdtasdt0(xA,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_579])]) ).
fof(f1776,plain,
( sdtasdt0(xN,xA) = sdtasdt0(xA,xN)
| ~ spl5_13
| ~ spl5_151 ),
inference(resolution,[],[f1476,f298]) ).
fof(f12130,plain,
( spl5_578
| ~ spl5_11
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1775,f1475,f286,f12127]) ).
fof(f12127,plain,
( spl5_578
<=> sdtasdt0(xS,xA) = sdtasdt0(xA,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_578])]) ).
fof(f1775,plain,
( sdtasdt0(xS,xA) = sdtasdt0(xA,xS)
| ~ spl5_11
| ~ spl5_151 ),
inference(resolution,[],[f1476,f288]) ).
fof(f12125,plain,
( spl5_577
| ~ spl5_14
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1774,f1475,f301,f12122]) ).
fof(f12122,plain,
( spl5_577
<=> sdtasdt0(xP,xA) = sdtasdt0(xA,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_577])]) ).
fof(f1774,plain,
( sdtasdt0(xP,xA) = sdtasdt0(xA,xP)
| ~ spl5_14
| ~ spl5_151 ),
inference(resolution,[],[f1476,f303]) ).
fof(f12120,plain,
( spl5_576
| ~ spl5_12
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1773,f1475,f291,f12117]) ).
fof(f12117,plain,
( spl5_576
<=> sdtasdt0(xR,xA) = sdtasdt0(xA,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_576])]) ).
fof(f1773,plain,
( sdtasdt0(xR,xA) = sdtasdt0(xA,xR)
| ~ spl5_12
| ~ spl5_151 ),
inference(resolution,[],[f1476,f293]) ).
fof(f12115,plain,
( spl5_575
| ~ spl5_7
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1772,f1475,f266,f12112]) ).
fof(f12112,plain,
( spl5_575
<=> sdtasdt0(xH,xA) = sdtasdt0(xA,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_575])]) ).
fof(f1772,plain,
( sdtasdt0(xH,xA) = sdtasdt0(xA,xH)
| ~ spl5_7
| ~ spl5_151 ),
inference(resolution,[],[f1476,f268]) ).
fof(f12110,plain,
( spl5_574
| ~ spl5_6
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1771,f1475,f261,f12107]) ).
fof(f12107,plain,
( spl5_574
<=> sdtasdt0(xG,xA) = sdtasdt0(xA,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_574])]) ).
fof(f1771,plain,
( sdtasdt0(xG,xA) = sdtasdt0(xA,xG)
| ~ spl5_6
| ~ spl5_151 ),
inference(resolution,[],[f1476,f263]) ).
fof(f12105,plain,
( spl5_573
| ~ spl5_8
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1770,f1475,f271,f12102]) ).
fof(f12102,plain,
( spl5_573
<=> sdtasdt0(xF,xA) = sdtasdt0(xA,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_573])]) ).
fof(f1770,plain,
( sdtasdt0(xF,xA) = sdtasdt0(xA,xF)
| ~ spl5_8
| ~ spl5_151 ),
inference(resolution,[],[f1476,f273]) ).
fof(f12100,plain,
( spl5_572
| ~ spl5_15
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1769,f1475,f306,f12097]) ).
fof(f12097,plain,
( spl5_572
<=> sdtasdt0(xE,xA) = sdtasdt0(xA,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_572])]) ).
fof(f1769,plain,
( sdtasdt0(xE,xA) = sdtasdt0(xA,xE)
| ~ spl5_15
| ~ spl5_151 ),
inference(resolution,[],[f1476,f308]) ).
fof(f12095,plain,
( spl5_571
| ~ spl5_9
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1768,f1475,f276,f12092]) ).
fof(f12092,plain,
( spl5_571
<=> sdtasdt0(xD,xA) = sdtasdt0(xA,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_571])]) ).
fof(f1768,plain,
( sdtasdt0(xD,xA) = sdtasdt0(xA,xD)
| ~ spl5_9
| ~ spl5_151 ),
inference(resolution,[],[f1476,f278]) ).
fof(f12090,plain,
( spl5_570
| ~ spl5_10
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1767,f1475,f281,f12087]) ).
fof(f12087,plain,
( spl5_570
<=> sdtasdt0(xC,xA) = sdtasdt0(xA,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_570])]) ).
fof(f1767,plain,
( sdtasdt0(xC,xA) = sdtasdt0(xA,xC)
| ~ spl5_10
| ~ spl5_151 ),
inference(resolution,[],[f1476,f283]) ).
fof(f12085,plain,
( spl5_569
| ~ spl5_13
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1738,f1467,f296,f12082]) ).
fof(f12082,plain,
( spl5_569
<=> sdtpldt0(xN,xS) = sdtpldt0(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_569])]) ).
fof(f1467,plain,
( spl5_149
<=> ! [X22] :
( ~ aScalar0(X22)
| sdtpldt0(X22,xS) = sdtpldt0(xS,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_149])]) ).
fof(f1738,plain,
( sdtpldt0(xN,xS) = sdtpldt0(xS,xN)
| ~ spl5_13
| ~ spl5_149 ),
inference(resolution,[],[f1468,f298]) ).
fof(f1468,plain,
( ! [X22] :
( ~ aScalar0(X22)
| sdtpldt0(X22,xS) = sdtpldt0(xS,X22) )
| ~ spl5_149 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f12080,plain,
( spl5_568
| ~ spl5_13
| ~ spl5_148 ),
inference(avatar_split_clause,[],[f1719,f1463,f296,f12077]) ).
fof(f12077,plain,
( spl5_568
<=> sdtpldt0(xN,xP) = sdtpldt0(xP,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_568])]) ).
fof(f1463,plain,
( spl5_148
<=> ! [X21] :
( ~ aScalar0(X21)
| sdtpldt0(X21,xP) = sdtpldt0(xP,X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_148])]) ).
fof(f1719,plain,
( sdtpldt0(xN,xP) = sdtpldt0(xP,xN)
| ~ spl5_13
| ~ spl5_148 ),
inference(resolution,[],[f1464,f298]) ).
fof(f1464,plain,
( ! [X21] :
( ~ aScalar0(X21)
| sdtpldt0(X21,xP) = sdtpldt0(xP,X21) )
| ~ spl5_148 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f12075,plain,
( spl5_567
| ~ spl5_11
| ~ spl5_148 ),
inference(avatar_split_clause,[],[f1718,f1463,f286,f12072]) ).
fof(f12072,plain,
( spl5_567
<=> sdtpldt0(xS,xP) = sdtpldt0(xP,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_567])]) ).
fof(f1718,plain,
( sdtpldt0(xS,xP) = sdtpldt0(xP,xS)
| ~ spl5_11
| ~ spl5_148 ),
inference(resolution,[],[f1464,f288]) ).
fof(f12070,plain,
( spl5_566
| ~ spl5_13
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1700,f1459,f296,f12067]) ).
fof(f12067,plain,
( spl5_566
<=> sdtpldt0(xN,xR) = sdtpldt0(xR,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_566])]) ).
fof(f1459,plain,
( spl5_147
<=> ! [X20] :
( ~ aScalar0(X20)
| sdtpldt0(X20,xR) = sdtpldt0(xR,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_147])]) ).
fof(f1700,plain,
( sdtpldt0(xN,xR) = sdtpldt0(xR,xN)
| ~ spl5_13
| ~ spl5_147 ),
inference(resolution,[],[f1460,f298]) ).
fof(f1460,plain,
( ! [X20] :
( ~ aScalar0(X20)
| sdtpldt0(X20,xR) = sdtpldt0(xR,X20) )
| ~ spl5_147 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f12065,plain,
( spl5_565
| ~ spl5_11
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1699,f1459,f286,f12062]) ).
fof(f12062,plain,
( spl5_565
<=> sdtpldt0(xS,xR) = sdtpldt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_565])]) ).
fof(f1699,plain,
( sdtpldt0(xS,xR) = sdtpldt0(xR,xS)
| ~ spl5_11
| ~ spl5_147 ),
inference(resolution,[],[f1460,f288]) ).
fof(f12060,plain,
( spl5_564
| ~ spl5_14
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1698,f1459,f301,f12057]) ).
fof(f12057,plain,
( spl5_564
<=> sdtpldt0(xP,xR) = sdtpldt0(xR,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_564])]) ).
fof(f1698,plain,
( sdtpldt0(xP,xR) = sdtpldt0(xR,xP)
| ~ spl5_14
| ~ spl5_147 ),
inference(resolution,[],[f1460,f303]) ).
fof(f12055,plain,
( spl5_563
| ~ spl5_13
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1681,f1455,f296,f12052]) ).
fof(f12052,plain,
( spl5_563
<=> sdtpldt0(xN,xH) = sdtpldt0(xH,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_563])]) ).
fof(f1455,plain,
( spl5_146
<=> ! [X19] :
( ~ aScalar0(X19)
| sdtpldt0(X19,xH) = sdtpldt0(xH,X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_146])]) ).
fof(f1681,plain,
( sdtpldt0(xN,xH) = sdtpldt0(xH,xN)
| ~ spl5_13
| ~ spl5_146 ),
inference(resolution,[],[f1456,f298]) ).
fof(f1456,plain,
( ! [X19] :
( ~ aScalar0(X19)
| sdtpldt0(X19,xH) = sdtpldt0(xH,X19) )
| ~ spl5_146 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f12050,plain,
( spl5_562
| ~ spl5_11
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1680,f1455,f286,f12047]) ).
fof(f12047,plain,
( spl5_562
<=> sdtpldt0(xS,xH) = sdtpldt0(xH,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_562])]) ).
fof(f1680,plain,
( sdtpldt0(xS,xH) = sdtpldt0(xH,xS)
| ~ spl5_11
| ~ spl5_146 ),
inference(resolution,[],[f1456,f288]) ).
fof(f12045,plain,
( spl5_561
| ~ spl5_14
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1679,f1455,f301,f12042]) ).
fof(f12042,plain,
( spl5_561
<=> sdtpldt0(xP,xH) = sdtpldt0(xH,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_561])]) ).
fof(f1679,plain,
( sdtpldt0(xP,xH) = sdtpldt0(xH,xP)
| ~ spl5_14
| ~ spl5_146 ),
inference(resolution,[],[f1456,f303]) ).
fof(f12040,plain,
( spl5_560
| ~ spl5_12
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1678,f1455,f291,f12037]) ).
fof(f12037,plain,
( spl5_560
<=> sdtpldt0(xR,xH) = sdtpldt0(xH,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_560])]) ).
fof(f1678,plain,
( sdtpldt0(xR,xH) = sdtpldt0(xH,xR)
| ~ spl5_12
| ~ spl5_146 ),
inference(resolution,[],[f1456,f293]) ).
fof(f12035,plain,
( spl5_559
| ~ spl5_13
| ~ spl5_144 ),
inference(avatar_split_clause,[],[f1662,f1446,f296,f12032]) ).
fof(f12032,plain,
( spl5_559
<=> sdtpldt0(xN,xG) = sdtpldt0(xG,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_559])]) ).
fof(f1446,plain,
( spl5_144
<=> ! [X18] :
( ~ aScalar0(X18)
| sdtpldt0(X18,xG) = sdtpldt0(xG,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_144])]) ).
fof(f1662,plain,
( sdtpldt0(xN,xG) = sdtpldt0(xG,xN)
| ~ spl5_13
| ~ spl5_144 ),
inference(resolution,[],[f1447,f298]) ).
fof(f1447,plain,
( ! [X18] :
( ~ aScalar0(X18)
| sdtpldt0(X18,xG) = sdtpldt0(xG,X18) )
| ~ spl5_144 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f12030,plain,
( spl5_558
| ~ spl5_11
| ~ spl5_144 ),
inference(avatar_split_clause,[],[f1661,f1446,f286,f12027]) ).
fof(f12027,plain,
( spl5_558
<=> sdtpldt0(xS,xG) = sdtpldt0(xG,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_558])]) ).
fof(f1661,plain,
( sdtpldt0(xS,xG) = sdtpldt0(xG,xS)
| ~ spl5_11
| ~ spl5_144 ),
inference(resolution,[],[f1447,f288]) ).
fof(f12025,plain,
( spl5_557
| ~ spl5_14
| ~ spl5_144 ),
inference(avatar_split_clause,[],[f1660,f1446,f301,f12022]) ).
fof(f12022,plain,
( spl5_557
<=> sdtpldt0(xP,xG) = sdtpldt0(xG,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_557])]) ).
fof(f1660,plain,
( sdtpldt0(xP,xG) = sdtpldt0(xG,xP)
| ~ spl5_14
| ~ spl5_144 ),
inference(resolution,[],[f1447,f303]) ).
fof(f12020,plain,
( spl5_556
| ~ spl5_12
| ~ spl5_144 ),
inference(avatar_split_clause,[],[f1659,f1446,f291,f12017]) ).
fof(f12017,plain,
( spl5_556
<=> sdtpldt0(xR,xG) = sdtpldt0(xG,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_556])]) ).
fof(f1659,plain,
( sdtpldt0(xR,xG) = sdtpldt0(xG,xR)
| ~ spl5_12
| ~ spl5_144 ),
inference(resolution,[],[f1447,f293]) ).
fof(f12015,plain,
( spl5_555
| ~ spl5_7
| ~ spl5_144 ),
inference(avatar_split_clause,[],[f1658,f1446,f266,f12012]) ).
fof(f12012,plain,
( spl5_555
<=> sdtpldt0(xH,xG) = sdtpldt0(xG,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_555])]) ).
fof(f1658,plain,
( sdtpldt0(xH,xG) = sdtpldt0(xG,xH)
| ~ spl5_7
| ~ spl5_144 ),
inference(resolution,[],[f1447,f268]) ).
fof(f12010,plain,
( spl5_554
| ~ spl5_13
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1643,f1442,f296,f12007]) ).
fof(f12007,plain,
( spl5_554
<=> sdtpldt0(xN,xF) = sdtpldt0(xF,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_554])]) ).
fof(f1442,plain,
( spl5_143
<=> ! [X17] :
( ~ aScalar0(X17)
| sdtpldt0(X17,xF) = sdtpldt0(xF,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_143])]) ).
fof(f1643,plain,
( sdtpldt0(xN,xF) = sdtpldt0(xF,xN)
| ~ spl5_13
| ~ spl5_143 ),
inference(resolution,[],[f1443,f298]) ).
fof(f1443,plain,
( ! [X17] :
( ~ aScalar0(X17)
| sdtpldt0(X17,xF) = sdtpldt0(xF,X17) )
| ~ spl5_143 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f12005,plain,
( spl5_553
| ~ spl5_11
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1642,f1442,f286,f12002]) ).
fof(f12002,plain,
( spl5_553
<=> sdtpldt0(xS,xF) = sdtpldt0(xF,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_553])]) ).
fof(f1642,plain,
( sdtpldt0(xS,xF) = sdtpldt0(xF,xS)
| ~ spl5_11
| ~ spl5_143 ),
inference(resolution,[],[f1443,f288]) ).
fof(f12000,plain,
( spl5_552
| ~ spl5_14
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1641,f1442,f301,f11997]) ).
fof(f11997,plain,
( spl5_552
<=> sdtpldt0(xP,xF) = sdtpldt0(xF,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_552])]) ).
fof(f1641,plain,
( sdtpldt0(xP,xF) = sdtpldt0(xF,xP)
| ~ spl5_14
| ~ spl5_143 ),
inference(resolution,[],[f1443,f303]) ).
fof(f11995,plain,
( spl5_551
| ~ spl5_12
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1640,f1442,f291,f11992]) ).
fof(f11992,plain,
( spl5_551
<=> sdtpldt0(xR,xF) = sdtpldt0(xF,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_551])]) ).
fof(f1640,plain,
( sdtpldt0(xR,xF) = sdtpldt0(xF,xR)
| ~ spl5_12
| ~ spl5_143 ),
inference(resolution,[],[f1443,f293]) ).
fof(f11990,plain,
( spl5_550
| ~ spl5_7
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1639,f1442,f266,f11987]) ).
fof(f11987,plain,
( spl5_550
<=> sdtpldt0(xH,xF) = sdtpldt0(xF,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_550])]) ).
fof(f1639,plain,
( sdtpldt0(xH,xF) = sdtpldt0(xF,xH)
| ~ spl5_7
| ~ spl5_143 ),
inference(resolution,[],[f1443,f268]) ).
fof(f11985,plain,
( spl5_549
| ~ spl5_6
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1638,f1442,f261,f11982]) ).
fof(f11982,plain,
( spl5_549
<=> sdtpldt0(xG,xF) = sdtpldt0(xF,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_549])]) ).
fof(f1638,plain,
( sdtpldt0(xG,xF) = sdtpldt0(xF,xG)
| ~ spl5_6
| ~ spl5_143 ),
inference(resolution,[],[f1443,f263]) ).
fof(f11980,plain,
( spl5_548
| ~ spl5_13
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1624,f1438,f296,f11977]) ).
fof(f11977,plain,
( spl5_548
<=> sdtpldt0(xN,xE) = sdtpldt0(xE,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_548])]) ).
fof(f1438,plain,
( spl5_142
<=> ! [X16] :
( ~ aScalar0(X16)
| sdtpldt0(X16,xE) = sdtpldt0(xE,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_142])]) ).
fof(f1624,plain,
( sdtpldt0(xN,xE) = sdtpldt0(xE,xN)
| ~ spl5_13
| ~ spl5_142 ),
inference(resolution,[],[f1439,f298]) ).
fof(f1439,plain,
( ! [X16] :
( ~ aScalar0(X16)
| sdtpldt0(X16,xE) = sdtpldt0(xE,X16) )
| ~ spl5_142 ),
inference(avatar_component_clause,[],[f1438]) ).
fof(f11975,plain,
( spl5_547
| ~ spl5_11
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1623,f1438,f286,f11972]) ).
fof(f11972,plain,
( spl5_547
<=> sdtpldt0(xS,xE) = sdtpldt0(xE,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_547])]) ).
fof(f1623,plain,
( sdtpldt0(xS,xE) = sdtpldt0(xE,xS)
| ~ spl5_11
| ~ spl5_142 ),
inference(resolution,[],[f1439,f288]) ).
fof(f11970,plain,
( spl5_546
| ~ spl5_14
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1622,f1438,f301,f11967]) ).
fof(f11967,plain,
( spl5_546
<=> sdtpldt0(xP,xE) = sdtpldt0(xE,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_546])]) ).
fof(f1622,plain,
( sdtpldt0(xP,xE) = sdtpldt0(xE,xP)
| ~ spl5_14
| ~ spl5_142 ),
inference(resolution,[],[f1439,f303]) ).
fof(f11965,plain,
( spl5_545
| ~ spl5_12
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1621,f1438,f291,f11962]) ).
fof(f11962,plain,
( spl5_545
<=> sdtpldt0(xR,xE) = sdtpldt0(xE,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_545])]) ).
fof(f1621,plain,
( sdtpldt0(xR,xE) = sdtpldt0(xE,xR)
| ~ spl5_12
| ~ spl5_142 ),
inference(resolution,[],[f1439,f293]) ).
fof(f11960,plain,
( spl5_544
| ~ spl5_7
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1620,f1438,f266,f11957]) ).
fof(f11957,plain,
( spl5_544
<=> sdtpldt0(xH,xE) = sdtpldt0(xE,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_544])]) ).
fof(f1620,plain,
( sdtpldt0(xH,xE) = sdtpldt0(xE,xH)
| ~ spl5_7
| ~ spl5_142 ),
inference(resolution,[],[f1439,f268]) ).
fof(f11955,plain,
( spl5_543
| ~ spl5_6
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1619,f1438,f261,f11952]) ).
fof(f11952,plain,
( spl5_543
<=> sdtpldt0(xG,xE) = sdtpldt0(xE,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_543])]) ).
fof(f1619,plain,
( sdtpldt0(xG,xE) = sdtpldt0(xE,xG)
| ~ spl5_6
| ~ spl5_142 ),
inference(resolution,[],[f1439,f263]) ).
fof(f11950,plain,
( spl5_542
| ~ spl5_8
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1618,f1438,f271,f11947]) ).
fof(f11947,plain,
( spl5_542
<=> sdtpldt0(xF,xE) = sdtpldt0(xE,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_542])]) ).
fof(f1618,plain,
( sdtpldt0(xF,xE) = sdtpldt0(xE,xF)
| ~ spl5_8
| ~ spl5_142 ),
inference(resolution,[],[f1439,f273]) ).
fof(f11945,plain,
( spl5_541
| ~ spl5_13
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1605,f1434,f296,f11942]) ).
fof(f11942,plain,
( spl5_541
<=> sdtpldt0(xN,xD) = sdtpldt0(xD,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_541])]) ).
fof(f1434,plain,
( spl5_141
<=> ! [X15] :
( ~ aScalar0(X15)
| sdtpldt0(X15,xD) = sdtpldt0(xD,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_141])]) ).
fof(f1605,plain,
( sdtpldt0(xN,xD) = sdtpldt0(xD,xN)
| ~ spl5_13
| ~ spl5_141 ),
inference(resolution,[],[f1435,f298]) ).
fof(f1435,plain,
( ! [X15] :
( ~ aScalar0(X15)
| sdtpldt0(X15,xD) = sdtpldt0(xD,X15) )
| ~ spl5_141 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f11940,plain,
( spl5_540
| ~ spl5_11
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1604,f1434,f286,f11937]) ).
fof(f11937,plain,
( spl5_540
<=> sdtpldt0(xS,xD) = sdtpldt0(xD,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_540])]) ).
fof(f1604,plain,
( sdtpldt0(xS,xD) = sdtpldt0(xD,xS)
| ~ spl5_11
| ~ spl5_141 ),
inference(resolution,[],[f1435,f288]) ).
fof(f11935,plain,
( spl5_539
| ~ spl5_14
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1603,f1434,f301,f11932]) ).
fof(f11932,plain,
( spl5_539
<=> sdtpldt0(xP,xD) = sdtpldt0(xD,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_539])]) ).
fof(f1603,plain,
( sdtpldt0(xP,xD) = sdtpldt0(xD,xP)
| ~ spl5_14
| ~ spl5_141 ),
inference(resolution,[],[f1435,f303]) ).
fof(f11930,plain,
( spl5_538
| ~ spl5_12
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1602,f1434,f291,f11927]) ).
fof(f11927,plain,
( spl5_538
<=> sdtpldt0(xR,xD) = sdtpldt0(xD,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_538])]) ).
fof(f1602,plain,
( sdtpldt0(xR,xD) = sdtpldt0(xD,xR)
| ~ spl5_12
| ~ spl5_141 ),
inference(resolution,[],[f1435,f293]) ).
fof(f11925,plain,
( spl5_537
| ~ spl5_7
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1601,f1434,f266,f11922]) ).
fof(f11922,plain,
( spl5_537
<=> sdtpldt0(xH,xD) = sdtpldt0(xD,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_537])]) ).
fof(f1601,plain,
( sdtpldt0(xH,xD) = sdtpldt0(xD,xH)
| ~ spl5_7
| ~ spl5_141 ),
inference(resolution,[],[f1435,f268]) ).
fof(f11920,plain,
( spl5_536
| ~ spl5_6
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1600,f1434,f261,f11917]) ).
fof(f11917,plain,
( spl5_536
<=> sdtpldt0(xG,xD) = sdtpldt0(xD,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_536])]) ).
fof(f1600,plain,
( sdtpldt0(xG,xD) = sdtpldt0(xD,xG)
| ~ spl5_6
| ~ spl5_141 ),
inference(resolution,[],[f1435,f263]) ).
fof(f11915,plain,
( spl5_535
| ~ spl5_8
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1599,f1434,f271,f11912]) ).
fof(f11912,plain,
( spl5_535
<=> sdtpldt0(xF,xD) = sdtpldt0(xD,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_535])]) ).
fof(f1599,plain,
( sdtpldt0(xF,xD) = sdtpldt0(xD,xF)
| ~ spl5_8
| ~ spl5_141 ),
inference(resolution,[],[f1435,f273]) ).
fof(f11910,plain,
( spl5_534
| ~ spl5_15
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1598,f1434,f306,f11907]) ).
fof(f11907,plain,
( spl5_534
<=> sdtpldt0(xE,xD) = sdtpldt0(xD,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_534])]) ).
fof(f1598,plain,
( sdtpldt0(xE,xD) = sdtpldt0(xD,xE)
| ~ spl5_15
| ~ spl5_141 ),
inference(resolution,[],[f1435,f308]) ).
fof(f11905,plain,
( spl5_533
| ~ spl5_13
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1582,f1430,f296,f11902]) ).
fof(f11902,plain,
( spl5_533
<=> sdtpldt0(xN,xC) = sdtpldt0(xC,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_533])]) ).
fof(f1430,plain,
( spl5_140
<=> ! [X14] :
( ~ aScalar0(X14)
| sdtpldt0(X14,xC) = sdtpldt0(xC,X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_140])]) ).
fof(f1582,plain,
( sdtpldt0(xN,xC) = sdtpldt0(xC,xN)
| ~ spl5_13
| ~ spl5_140 ),
inference(resolution,[],[f1431,f298]) ).
fof(f1431,plain,
( ! [X14] :
( ~ aScalar0(X14)
| sdtpldt0(X14,xC) = sdtpldt0(xC,X14) )
| ~ spl5_140 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f11900,plain,
( spl5_532
| ~ spl5_11
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1581,f1430,f286,f11897]) ).
fof(f11897,plain,
( spl5_532
<=> sdtpldt0(xS,xC) = sdtpldt0(xC,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_532])]) ).
fof(f1581,plain,
( sdtpldt0(xS,xC) = sdtpldt0(xC,xS)
| ~ spl5_11
| ~ spl5_140 ),
inference(resolution,[],[f1431,f288]) ).
fof(f11895,plain,
( spl5_531
| ~ spl5_14
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1580,f1430,f301,f11892]) ).
fof(f11892,plain,
( spl5_531
<=> sdtpldt0(xP,xC) = sdtpldt0(xC,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_531])]) ).
fof(f1580,plain,
( sdtpldt0(xP,xC) = sdtpldt0(xC,xP)
| ~ spl5_14
| ~ spl5_140 ),
inference(resolution,[],[f1431,f303]) ).
fof(f11890,plain,
( spl5_530
| ~ spl5_12
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1579,f1430,f291,f11887]) ).
fof(f11887,plain,
( spl5_530
<=> sdtpldt0(xR,xC) = sdtpldt0(xC,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_530])]) ).
fof(f1579,plain,
( sdtpldt0(xR,xC) = sdtpldt0(xC,xR)
| ~ spl5_12
| ~ spl5_140 ),
inference(resolution,[],[f1431,f293]) ).
fof(f11885,plain,
( spl5_529
| ~ spl5_7
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1578,f1430,f266,f11882]) ).
fof(f11882,plain,
( spl5_529
<=> sdtpldt0(xH,xC) = sdtpldt0(xC,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_529])]) ).
fof(f1578,plain,
( sdtpldt0(xH,xC) = sdtpldt0(xC,xH)
| ~ spl5_7
| ~ spl5_140 ),
inference(resolution,[],[f1431,f268]) ).
fof(f11880,plain,
( spl5_528
| ~ spl5_6
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1577,f1430,f261,f11877]) ).
fof(f11877,plain,
( spl5_528
<=> sdtpldt0(xG,xC) = sdtpldt0(xC,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_528])]) ).
fof(f1577,plain,
( sdtpldt0(xG,xC) = sdtpldt0(xC,xG)
| ~ spl5_6
| ~ spl5_140 ),
inference(resolution,[],[f1431,f263]) ).
fof(f11875,plain,
( spl5_527
| ~ spl5_8
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1576,f1430,f271,f11872]) ).
fof(f11872,plain,
( spl5_527
<=> sdtpldt0(xF,xC) = sdtpldt0(xC,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_527])]) ).
fof(f1576,plain,
( sdtpldt0(xF,xC) = sdtpldt0(xC,xF)
| ~ spl5_8
| ~ spl5_140 ),
inference(resolution,[],[f1431,f273]) ).
fof(f11870,plain,
( spl5_526
| ~ spl5_15
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1575,f1430,f306,f11867]) ).
fof(f11867,plain,
( spl5_526
<=> sdtpldt0(xE,xC) = sdtpldt0(xC,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_526])]) ).
fof(f1575,plain,
( sdtpldt0(xE,xC) = sdtpldt0(xC,xE)
| ~ spl5_15
| ~ spl5_140 ),
inference(resolution,[],[f1431,f308]) ).
fof(f11865,plain,
( spl5_525
| ~ spl5_9
| ~ spl5_140 ),
inference(avatar_split_clause,[],[f1574,f1430,f276,f11862]) ).
fof(f11862,plain,
( spl5_525
<=> sdtpldt0(xD,xC) = sdtpldt0(xC,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_525])]) ).
fof(f1574,plain,
( sdtpldt0(xD,xC) = sdtpldt0(xC,xD)
| ~ spl5_9
| ~ spl5_140 ),
inference(resolution,[],[f1431,f278]) ).
fof(f11860,plain,
( spl5_524
| ~ spl5_13
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1563,f1426,f296,f11857]) ).
fof(f11857,plain,
( spl5_524
<=> sdtpldt0(xN,xB) = sdtpldt0(xB,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_524])]) ).
fof(f1426,plain,
( spl5_139
<=> ! [X13] :
( ~ aScalar0(X13)
| sdtpldt0(X13,xB) = sdtpldt0(xB,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_139])]) ).
fof(f1563,plain,
( sdtpldt0(xN,xB) = sdtpldt0(xB,xN)
| ~ spl5_13
| ~ spl5_139 ),
inference(resolution,[],[f1427,f298]) ).
fof(f1427,plain,
( ! [X13] :
( ~ aScalar0(X13)
| sdtpldt0(X13,xB) = sdtpldt0(xB,X13) )
| ~ spl5_139 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f11855,plain,
( spl5_523
| ~ spl5_11
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1562,f1426,f286,f11852]) ).
fof(f11852,plain,
( spl5_523
<=> sdtpldt0(xS,xB) = sdtpldt0(xB,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_523])]) ).
fof(f1562,plain,
( sdtpldt0(xS,xB) = sdtpldt0(xB,xS)
| ~ spl5_11
| ~ spl5_139 ),
inference(resolution,[],[f1427,f288]) ).
fof(f11850,plain,
( spl5_522
| ~ spl5_14
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1561,f1426,f301,f11847]) ).
fof(f11847,plain,
( spl5_522
<=> sdtpldt0(xP,xB) = sdtpldt0(xB,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_522])]) ).
fof(f1561,plain,
( sdtpldt0(xP,xB) = sdtpldt0(xB,xP)
| ~ spl5_14
| ~ spl5_139 ),
inference(resolution,[],[f1427,f303]) ).
fof(f11845,plain,
( spl5_521
| ~ spl5_12
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1560,f1426,f291,f11842]) ).
fof(f11842,plain,
( spl5_521
<=> sdtpldt0(xR,xB) = sdtpldt0(xB,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_521])]) ).
fof(f1560,plain,
( sdtpldt0(xR,xB) = sdtpldt0(xB,xR)
| ~ spl5_12
| ~ spl5_139 ),
inference(resolution,[],[f1427,f293]) ).
fof(f11840,plain,
( spl5_520
| ~ spl5_7
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1559,f1426,f266,f11837]) ).
fof(f11837,plain,
( spl5_520
<=> sdtpldt0(xH,xB) = sdtpldt0(xB,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_520])]) ).
fof(f1559,plain,
( sdtpldt0(xH,xB) = sdtpldt0(xB,xH)
| ~ spl5_7
| ~ spl5_139 ),
inference(resolution,[],[f1427,f268]) ).
fof(f11835,plain,
( spl5_519
| ~ spl5_6
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1558,f1426,f261,f11832]) ).
fof(f11832,plain,
( spl5_519
<=> sdtpldt0(xG,xB) = sdtpldt0(xB,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_519])]) ).
fof(f1558,plain,
( sdtpldt0(xG,xB) = sdtpldt0(xB,xG)
| ~ spl5_6
| ~ spl5_139 ),
inference(resolution,[],[f1427,f263]) ).
fof(f11830,plain,
( spl5_518
| ~ spl5_8
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1557,f1426,f271,f11827]) ).
fof(f11827,plain,
( spl5_518
<=> sdtpldt0(xF,xB) = sdtpldt0(xB,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_518])]) ).
fof(f1557,plain,
( sdtpldt0(xF,xB) = sdtpldt0(xB,xF)
| ~ spl5_8
| ~ spl5_139 ),
inference(resolution,[],[f1427,f273]) ).
fof(f11825,plain,
( spl5_517
| ~ spl5_15
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1556,f1426,f306,f11822]) ).
fof(f11822,plain,
( spl5_517
<=> sdtpldt0(xE,xB) = sdtpldt0(xB,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_517])]) ).
fof(f1556,plain,
( sdtpldt0(xE,xB) = sdtpldt0(xB,xE)
| ~ spl5_15
| ~ spl5_139 ),
inference(resolution,[],[f1427,f308]) ).
fof(f11820,plain,
( spl5_516
| ~ spl5_9
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1555,f1426,f276,f11817]) ).
fof(f11817,plain,
( spl5_516
<=> sdtpldt0(xD,xB) = sdtpldt0(xB,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_516])]) ).
fof(f1555,plain,
( sdtpldt0(xD,xB) = sdtpldt0(xB,xD)
| ~ spl5_9
| ~ spl5_139 ),
inference(resolution,[],[f1427,f278]) ).
fof(f11815,plain,
( spl5_515
| ~ spl5_10
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1554,f1426,f281,f11812]) ).
fof(f11812,plain,
( spl5_515
<=> sdtpldt0(xC,xB) = sdtpldt0(xB,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_515])]) ).
fof(f1554,plain,
( sdtpldt0(xC,xB) = sdtpldt0(xB,xC)
| ~ spl5_10
| ~ spl5_139 ),
inference(resolution,[],[f1427,f283]) ).
fof(f11810,plain,
( spl5_514
| ~ spl5_13
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1544,f1422,f296,f11807]) ).
fof(f11807,plain,
( spl5_514
<=> sdtpldt0(xN,xA) = sdtpldt0(xA,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_514])]) ).
fof(f1422,plain,
( spl5_138
<=> ! [X12] :
( ~ aScalar0(X12)
| sdtpldt0(X12,xA) = sdtpldt0(xA,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_138])]) ).
fof(f1544,plain,
( sdtpldt0(xN,xA) = sdtpldt0(xA,xN)
| ~ spl5_13
| ~ spl5_138 ),
inference(resolution,[],[f1423,f298]) ).
fof(f1423,plain,
( ! [X12] :
( ~ aScalar0(X12)
| sdtpldt0(X12,xA) = sdtpldt0(xA,X12) )
| ~ spl5_138 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f11805,plain,
( spl5_513
| ~ spl5_11
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1543,f1422,f286,f11802]) ).
fof(f11802,plain,
( spl5_513
<=> sdtpldt0(xS,xA) = sdtpldt0(xA,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_513])]) ).
fof(f1543,plain,
( sdtpldt0(xS,xA) = sdtpldt0(xA,xS)
| ~ spl5_11
| ~ spl5_138 ),
inference(resolution,[],[f1423,f288]) ).
fof(f11800,plain,
( spl5_512
| ~ spl5_14
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1542,f1422,f301,f11797]) ).
fof(f11797,plain,
( spl5_512
<=> sdtpldt0(xP,xA) = sdtpldt0(xA,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_512])]) ).
fof(f1542,plain,
( sdtpldt0(xP,xA) = sdtpldt0(xA,xP)
| ~ spl5_14
| ~ spl5_138 ),
inference(resolution,[],[f1423,f303]) ).
fof(f11795,plain,
( spl5_511
| ~ spl5_12
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1541,f1422,f291,f11792]) ).
fof(f11792,plain,
( spl5_511
<=> sdtpldt0(xR,xA) = sdtpldt0(xA,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_511])]) ).
fof(f1541,plain,
( sdtpldt0(xR,xA) = sdtpldt0(xA,xR)
| ~ spl5_12
| ~ spl5_138 ),
inference(resolution,[],[f1423,f293]) ).
fof(f11790,plain,
( spl5_510
| ~ spl5_7
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1540,f1422,f266,f11787]) ).
fof(f11787,plain,
( spl5_510
<=> sdtpldt0(xH,xA) = sdtpldt0(xA,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_510])]) ).
fof(f1540,plain,
( sdtpldt0(xH,xA) = sdtpldt0(xA,xH)
| ~ spl5_7
| ~ spl5_138 ),
inference(resolution,[],[f1423,f268]) ).
fof(f11785,plain,
( spl5_509
| ~ spl5_6
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1539,f1422,f261,f11782]) ).
fof(f11782,plain,
( spl5_509
<=> sdtpldt0(xG,xA) = sdtpldt0(xA,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_509])]) ).
fof(f1539,plain,
( sdtpldt0(xG,xA) = sdtpldt0(xA,xG)
| ~ spl5_6
| ~ spl5_138 ),
inference(resolution,[],[f1423,f263]) ).
fof(f11780,plain,
( spl5_508
| ~ spl5_8
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1538,f1422,f271,f11777]) ).
fof(f11777,plain,
( spl5_508
<=> sdtpldt0(xF,xA) = sdtpldt0(xA,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_508])]) ).
fof(f1538,plain,
( sdtpldt0(xF,xA) = sdtpldt0(xA,xF)
| ~ spl5_8
| ~ spl5_138 ),
inference(resolution,[],[f1423,f273]) ).
fof(f11775,plain,
( spl5_507
| ~ spl5_15
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1537,f1422,f306,f11772]) ).
fof(f11772,plain,
( spl5_507
<=> sdtpldt0(xE,xA) = sdtpldt0(xA,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_507])]) ).
fof(f1537,plain,
( sdtpldt0(xE,xA) = sdtpldt0(xA,xE)
| ~ spl5_15
| ~ spl5_138 ),
inference(resolution,[],[f1423,f308]) ).
fof(f11770,plain,
( spl5_506
| ~ spl5_9
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1536,f1422,f276,f11767]) ).
fof(f11767,plain,
( spl5_506
<=> sdtpldt0(xD,xA) = sdtpldt0(xA,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_506])]) ).
fof(f1536,plain,
( sdtpldt0(xD,xA) = sdtpldt0(xA,xD)
| ~ spl5_9
| ~ spl5_138 ),
inference(resolution,[],[f1423,f278]) ).
fof(f11765,plain,
( spl5_505
| ~ spl5_10
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1535,f1422,f281,f11762]) ).
fof(f11762,plain,
( spl5_505
<=> sdtpldt0(xC,xA) = sdtpldt0(xA,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_505])]) ).
fof(f1535,plain,
( sdtpldt0(xC,xA) = sdtpldt0(xA,xC)
| ~ spl5_10
| ~ spl5_138 ),
inference(resolution,[],[f1423,f283]) ).
fof(f11760,plain,
( spl5_504
| ~ spl5_16
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1534,f1422,f311,f11757]) ).
fof(f11757,plain,
( spl5_504
<=> sdtpldt0(xB,xA) = sdtpldt0(xA,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_504])]) ).
fof(f1534,plain,
( sdtpldt0(xB,xA) = sdtpldt0(xA,xB)
| ~ spl5_16
| ~ spl5_138 ),
inference(resolution,[],[f1423,f313]) ).
fof(f11746,plain,
( spl5_503
| ~ spl5_23
| ~ spl5_125 ),
inference(avatar_split_clause,[],[f1307,f1297,f346,f11744]) ).
fof(f11744,plain,
( spl5_503
<=> ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_503])]) ).
fof(f346,plain,
( spl5_23
<=> ! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f1297,plain,
( spl5_125
<=> ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_125])]) ).
fof(f1307,plain,
( ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) )
| ~ spl5_23
| ~ spl5_125 ),
inference(resolution,[],[f1298,f347]) ).
fof(f347,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(X0) )
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f1298,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_125 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f11741,plain,
( spl5_502
| ~ spl5_65
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1205,f1195,f564,f11738]) ).
fof(f11738,plain,
( spl5_502
<=> sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_502])]) ).
fof(f564,plain,
( spl5_65
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
fof(f1195,plain,
( spl5_110
<=> sP2(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_110])]) ).
fof(f1205,plain,
( sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00)
| ~ spl5_65
| ~ spl5_110 ),
inference(resolution,[],[f1197,f565]) ).
fof(f565,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl5_65 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f1197,plain,
( sP2(sz0z00)
| ~ spl5_110 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f11735,plain,
( spl5_501
| ~ spl5_64
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1204,f1195,f560,f11732]) ).
fof(f11732,plain,
( spl5_501
<=> sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_501])]) ).
fof(f560,plain,
( spl5_64
<=> ! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_64])]) ).
fof(f1204,plain,
( sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00))
| ~ spl5_64
| ~ spl5_110 ),
inference(resolution,[],[f1197,f561]) ).
fof(f561,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl5_64 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f11016,plain,
( spl5_500
| ~ spl5_23
| ~ spl5_498 ),
inference(avatar_split_clause,[],[f10611,f10607,f346,f11013]) ).
fof(f11013,plain,
( spl5_500
<=> sP2(sdtasasdt0(xt,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_500])]) ).
fof(f10607,plain,
( spl5_498
<=> aScalar0(sdtasasdt0(xt,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_498])]) ).
fof(f10611,plain,
( sP2(sdtasasdt0(xt,xs))
| ~ spl5_23
| ~ spl5_498 ),
inference(resolution,[],[f10609,f347]) ).
fof(f10609,plain,
( aScalar0(sdtasasdt0(xt,xs))
| ~ spl5_498 ),
inference(avatar_component_clause,[],[f10607]) ).
fof(f10911,plain,
( spl5_499
| ~ spl5_23
| ~ spl5_497 ),
inference(avatar_split_clause,[],[f10330,f10326,f346,f10908]) ).
fof(f10908,plain,
( spl5_499
<=> sP2(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_499])]) ).
fof(f10326,plain,
( spl5_497
<=> aScalar0(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_497])]) ).
fof(f10330,plain,
( sP2(sdtasasdt0(xs,xt))
| ~ spl5_23
| ~ spl5_497 ),
inference(resolution,[],[f10328,f347]) ).
fof(f10328,plain,
( aScalar0(sdtasasdt0(xs,xt))
| ~ spl5_497 ),
inference(avatar_component_clause,[],[f10326]) ).
fof(f10610,plain,
( spl5_498
| ~ spl5_5
| ~ spl5_227 ),
inference(avatar_split_clause,[],[f4400,f4391,f256,f10607]) ).
fof(f256,plain,
( spl5_5
<=> aVector0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f4391,plain,
( spl5_227
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_227])]) ).
fof(f4400,plain,
( ~ aVector0(xt)
| aScalar0(sdtasasdt0(xt,xs))
| ~ spl5_227 ),
inference(equality_resolution,[],[f4392]) ).
fof(f4392,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) )
| ~ spl5_227 ),
inference(avatar_component_clause,[],[f4391]) ).
fof(f10329,plain,
( spl5_497
| ~ spl5_5
| ~ spl5_226 ),
inference(avatar_split_clause,[],[f4388,f4384,f256,f10326]) ).
fof(f4384,plain,
( spl5_226
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_226])]) ).
fof(f4388,plain,
( ~ aVector0(xt)
| aScalar0(sdtasasdt0(xs,xt))
| ~ spl5_226 ),
inference(equality_resolution,[],[f4385]) ).
fof(f4385,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) )
| ~ spl5_226 ),
inference(avatar_component_clause,[],[f4384]) ).
fof(f10324,plain,
( spl5_496
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_93
| ~ spl5_190 ),
inference(avatar_split_clause,[],[f3673,f3209,f883,f539,f499,f326,f10321]) ).
fof(f10321,plain,
( spl5_496
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_496])]) ).
fof(f326,plain,
( spl5_19
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f499,plain,
( spl5_52
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f539,plain,
( spl5_60
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
fof(f883,plain,
( spl5_93
<=> sP2(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f3209,plain,
( spl5_190
<=> ! [X23] :
( sdtasdt0(X23,xN) = sdtasdt0(smndt0(X23),smndt0(xN))
| ~ aScalar0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_190])]) ).
fof(f3673,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xN))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_93
| ~ spl5_190 ),
inference(forward_demodulation,[],[f3672,f1190]) ).
fof(f1190,plain,
( sz0z00 = sdtasdt0(sz0z00,xN)
| ~ spl5_60
| ~ spl5_93 ),
inference(resolution,[],[f885,f540]) ).
fof(f540,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) )
| ~ spl5_60 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f885,plain,
( sP2(xN)
| ~ spl5_93 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f3672,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(sz0z00,smndt0(xN))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_190 ),
inference(forward_demodulation,[],[f3654,f501]) ).
fof(f501,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl5_52 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f3654,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(smndt0(sz0z00),smndt0(xN))
| ~ spl5_19
| ~ spl5_190 ),
inference(resolution,[],[f3210,f328]) ).
fof(f328,plain,
( aScalar0(sz0z00)
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f3210,plain,
( ! [X23] :
( ~ aScalar0(X23)
| sdtasdt0(X23,xN) = sdtasdt0(smndt0(X23),smndt0(xN)) )
| ~ spl5_190 ),
inference(avatar_component_clause,[],[f3209]) ).
fof(f10319,plain,
( spl5_495
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_90
| ~ spl5_189 ),
inference(avatar_split_clause,[],[f3648,f3205,f767,f539,f499,f326,f10316]) ).
fof(f10316,plain,
( spl5_495
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_495])]) ).
fof(f767,plain,
( spl5_90
<=> sP2(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f3648,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xS))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_90
| ~ spl5_189 ),
inference(forward_demodulation,[],[f3647,f1183]) ).
fof(f1183,plain,
( sz0z00 = sdtasdt0(sz0z00,xS)
| ~ spl5_60
| ~ spl5_90 ),
inference(resolution,[],[f769,f540]) ).
fof(f769,plain,
( sP2(xS)
| ~ spl5_90 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f3647,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(sz0z00,smndt0(xS))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_189 ),
inference(forward_demodulation,[],[f3629,f501]) ).
fof(f3629,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(smndt0(sz0z00),smndt0(xS))
| ~ spl5_19
| ~ spl5_189 ),
inference(resolution,[],[f3206,f328]) ).
fof(f10314,plain,
( spl5_494
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_86
| ~ spl5_188 ),
inference(avatar_split_clause,[],[f3623,f3201,f693,f539,f499,f326,f10311]) ).
fof(f10311,plain,
( spl5_494
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_494])]) ).
fof(f693,plain,
( spl5_86
<=> sP2(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f3201,plain,
( spl5_188
<=> ! [X21] :
( sdtasdt0(X21,xP) = sdtasdt0(smndt0(X21),smndt0(xP))
| ~ aScalar0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_188])]) ).
fof(f3623,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xP))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_86
| ~ spl5_188 ),
inference(forward_demodulation,[],[f3622,f1176]) ).
fof(f1176,plain,
( sz0z00 = sdtasdt0(sz0z00,xP)
| ~ spl5_60
| ~ spl5_86 ),
inference(resolution,[],[f695,f540]) ).
fof(f695,plain,
( sP2(xP)
| ~ spl5_86 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f3622,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(sz0z00,smndt0(xP))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_188 ),
inference(forward_demodulation,[],[f3604,f501]) ).
fof(f3604,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(smndt0(sz0z00),smndt0(xP))
| ~ spl5_19
| ~ spl5_188 ),
inference(resolution,[],[f3202,f328]) ).
fof(f3202,plain,
( ! [X21] :
( ~ aScalar0(X21)
| sdtasdt0(X21,xP) = sdtasdt0(smndt0(X21),smndt0(xP)) )
| ~ spl5_188 ),
inference(avatar_component_clause,[],[f3201]) ).
fof(f10309,plain,
( spl5_493
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_79
| ~ spl5_187 ),
inference(avatar_split_clause,[],[f3597,f3197,f652,f539,f499,f326,f10306]) ).
fof(f10306,plain,
( spl5_493
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_493])]) ).
fof(f652,plain,
( spl5_79
<=> sP2(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f3597,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xR))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_79
| ~ spl5_187 ),
inference(forward_demodulation,[],[f3596,f1169]) ).
fof(f1169,plain,
( sz0z00 = sdtasdt0(sz0z00,xR)
| ~ spl5_60
| ~ spl5_79 ),
inference(resolution,[],[f654,f540]) ).
fof(f654,plain,
( sP2(xR)
| ~ spl5_79 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f3596,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(sz0z00,smndt0(xR))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_187 ),
inference(forward_demodulation,[],[f3578,f501]) ).
fof(f3578,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(smndt0(sz0z00),smndt0(xR))
| ~ spl5_19
| ~ spl5_187 ),
inference(resolution,[],[f3198,f328]) ).
fof(f10304,plain,
( spl5_492
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_73
| ~ spl5_186 ),
inference(avatar_split_clause,[],[f3568,f3193,f616,f539,f499,f326,f10301]) ).
fof(f10301,plain,
( spl5_492
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_492])]) ).
fof(f616,plain,
( spl5_73
<=> sP2(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
fof(f3568,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xH))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_73
| ~ spl5_186 ),
inference(forward_demodulation,[],[f3567,f1162]) ).
fof(f1162,plain,
( sz0z00 = sdtasdt0(sz0z00,xH)
| ~ spl5_60
| ~ spl5_73 ),
inference(resolution,[],[f618,f540]) ).
fof(f618,plain,
( sP2(xH)
| ~ spl5_73 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f3567,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(sz0z00,smndt0(xH))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_186 ),
inference(forward_demodulation,[],[f3549,f501]) ).
fof(f3549,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(smndt0(sz0z00),smndt0(xH))
| ~ spl5_19
| ~ spl5_186 ),
inference(resolution,[],[f3194,f328]) ).
fof(f10299,plain,
( spl5_491
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_69
| ~ spl5_185 ),
inference(avatar_split_clause,[],[f3538,f3189,f580,f539,f499,f326,f10296]) ).
fof(f10296,plain,
( spl5_491
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_491])]) ).
fof(f580,plain,
( spl5_69
<=> sP2(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
fof(f3538,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xG))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_69
| ~ spl5_185 ),
inference(forward_demodulation,[],[f3537,f1155]) ).
fof(f1155,plain,
( sz0z00 = sdtasdt0(sz0z00,xG)
| ~ spl5_60
| ~ spl5_69 ),
inference(resolution,[],[f582,f540]) ).
fof(f582,plain,
( sP2(xG)
| ~ spl5_69 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f3537,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(sz0z00,smndt0(xG))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_185 ),
inference(forward_demodulation,[],[f3519,f501]) ).
fof(f3519,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(smndt0(sz0z00),smndt0(xG))
| ~ spl5_19
| ~ spl5_185 ),
inference(resolution,[],[f3190,f328]) ).
fof(f10294,plain,
( spl5_490
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_62
| ~ spl5_184 ),
inference(avatar_split_clause,[],[f3507,f3185,f551,f539,f499,f326,f10291]) ).
fof(f10291,plain,
( spl5_490
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_490])]) ).
fof(f551,plain,
( spl5_62
<=> sP2(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
fof(f3507,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xF))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_60
| ~ spl5_62
| ~ spl5_184 ),
inference(forward_demodulation,[],[f3506,f1148]) ).
fof(f1148,plain,
( sz0z00 = sdtasdt0(sz0z00,xF)
| ~ spl5_60
| ~ spl5_62 ),
inference(resolution,[],[f553,f540]) ).
fof(f553,plain,
( sP2(xF)
| ~ spl5_62 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f3506,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(sz0z00,smndt0(xF))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_184 ),
inference(forward_demodulation,[],[f3488,f501]) ).
fof(f3488,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(smndt0(sz0z00),smndt0(xF))
| ~ spl5_19
| ~ spl5_184 ),
inference(resolution,[],[f3186,f328]) ).
fof(f10289,plain,
( spl5_489
| ~ spl5_19
| ~ spl5_52
| ~ spl5_54
| ~ spl5_60
| ~ spl5_182 ),
inference(avatar_split_clause,[],[f3481,f3176,f539,f514,f499,f326,f10286]) ).
fof(f10286,plain,
( spl5_489
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_489])]) ).
fof(f514,plain,
( spl5_54
<=> sP2(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
fof(f3481,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xE))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_54
| ~ spl5_60
| ~ spl5_182 ),
inference(forward_demodulation,[],[f3480,f1141]) ).
fof(f1141,plain,
( sz0z00 = sdtasdt0(sz0z00,xE)
| ~ spl5_54
| ~ spl5_60 ),
inference(resolution,[],[f516,f540]) ).
fof(f516,plain,
( sP2(xE)
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f3480,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(sz0z00,smndt0(xE))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_182 ),
inference(forward_demodulation,[],[f3462,f501]) ).
fof(f3462,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(smndt0(sz0z00),smndt0(xE))
| ~ spl5_19
| ~ spl5_182 ),
inference(resolution,[],[f3177,f328]) ).
fof(f10284,plain,
( spl5_488
| ~ spl5_19
| ~ spl5_48
| ~ spl5_52
| ~ spl5_60
| ~ spl5_181 ),
inference(avatar_split_clause,[],[f3453,f3172,f539,f499,f482,f326,f10281]) ).
fof(f10281,plain,
( spl5_488
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_488])]) ).
fof(f482,plain,
( spl5_48
<=> sP2(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f3453,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xD))
| ~ spl5_19
| ~ spl5_48
| ~ spl5_52
| ~ spl5_60
| ~ spl5_181 ),
inference(forward_demodulation,[],[f3452,f1134]) ).
fof(f1134,plain,
( sz0z00 = sdtasdt0(sz0z00,xD)
| ~ spl5_48
| ~ spl5_60 ),
inference(resolution,[],[f484,f540]) ).
fof(f484,plain,
( sP2(xD)
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f3452,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(sz0z00,smndt0(xD))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_181 ),
inference(forward_demodulation,[],[f3434,f501]) ).
fof(f3434,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(smndt0(sz0z00),smndt0(xD))
| ~ spl5_19
| ~ spl5_181 ),
inference(resolution,[],[f3173,f328]) ).
fof(f10279,plain,
( spl5_487
| ~ spl5_19
| ~ spl5_43
| ~ spl5_52
| ~ spl5_60
| ~ spl5_180 ),
inference(avatar_split_clause,[],[f3424,f3168,f539,f499,f454,f326,f10276]) ).
fof(f10276,plain,
( spl5_487
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_487])]) ).
fof(f454,plain,
( spl5_43
<=> sP2(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f3424,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xC))
| ~ spl5_19
| ~ spl5_43
| ~ spl5_52
| ~ spl5_60
| ~ spl5_180 ),
inference(forward_demodulation,[],[f3423,f1098]) ).
fof(f1098,plain,
( sz0z00 = sdtasdt0(sz0z00,xC)
| ~ spl5_43
| ~ spl5_60 ),
inference(resolution,[],[f456,f540]) ).
fof(f456,plain,
( sP2(xC)
| ~ spl5_43 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f3423,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(sz0z00,smndt0(xC))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_180 ),
inference(forward_demodulation,[],[f3405,f501]) ).
fof(f3405,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(smndt0(sz0z00),smndt0(xC))
| ~ spl5_19
| ~ spl5_180 ),
inference(resolution,[],[f3169,f328]) ).
fof(f10274,plain,
( spl5_486
| ~ spl5_19
| ~ spl5_52
| ~ spl5_179
| ~ spl5_194 ),
inference(avatar_split_clause,[],[f3401,f3225,f3164,f499,f326,f10271]) ).
fof(f10271,plain,
( spl5_486
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_486])]) ).
fof(f3225,plain,
( spl5_194
<=> sz0z00 = sdtasdt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_194])]) ).
fof(f3401,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xB))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_179
| ~ spl5_194 ),
inference(forward_demodulation,[],[f3400,f3227]) ).
fof(f3227,plain,
( sz0z00 = sdtasdt0(sz0z00,xB)
| ~ spl5_194 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f3400,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(sz0z00,smndt0(xB))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_179 ),
inference(forward_demodulation,[],[f3382,f501]) ).
fof(f3382,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(smndt0(sz0z00),smndt0(xB))
| ~ spl5_19
| ~ spl5_179 ),
inference(resolution,[],[f3165,f328]) ).
fof(f10269,plain,
( spl5_485
| ~ spl5_19
| ~ spl5_52
| ~ spl5_169
| ~ spl5_178 ),
inference(avatar_split_clause,[],[f3378,f3160,f2510,f499,f326,f10266]) ).
fof(f10266,plain,
( spl5_485
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_485])]) ).
fof(f2510,plain,
( spl5_169
<=> sz0z00 = sdtasdt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_169])]) ).
fof(f3378,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xA))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_169
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3377,f2512]) ).
fof(f2512,plain,
( sz0z00 = sdtasdt0(sz0z00,xA)
| ~ spl5_169 ),
inference(avatar_component_clause,[],[f2510]) ).
fof(f3377,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(sz0z00,smndt0(xA))
| ~ spl5_19
| ~ spl5_52
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3359,f501]) ).
fof(f3359,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(smndt0(sz0z00),smndt0(xA))
| ~ spl5_19
| ~ spl5_178 ),
inference(resolution,[],[f3161,f328]) ).
fof(f10264,plain,
( spl5_484
| ~ spl5_13
| ~ spl5_59
| ~ spl5_93
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3106,f2076,f883,f535,f296,f10261]) ).
fof(f10261,plain,
( spl5_484
<=> sz0z00 = sdtasdt0(smndt0(xN),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_484])]) ).
fof(f535,plain,
( spl5_59
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
fof(f2076,plain,
( spl5_167
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_167])]) ).
fof(f3106,plain,
( sz0z00 = sdtasdt0(smndt0(xN),sz0z00)
| ~ spl5_13
| ~ spl5_59
| ~ spl5_93
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3094,f1189]) ).
fof(f1189,plain,
( sz0z00 = sdtasdt0(xN,sz0z00)
| ~ spl5_59
| ~ spl5_93 ),
inference(resolution,[],[f885,f536]) ).
fof(f536,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) )
| ~ spl5_59 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f3094,plain,
( sdtasdt0(xN,sz0z00) = sdtasdt0(smndt0(xN),sz0z00)
| ~ spl5_13
| ~ spl5_167 ),
inference(resolution,[],[f2077,f298]) ).
fof(f2077,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl5_167 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f10259,plain,
( spl5_483
| ~ spl5_11
| ~ spl5_59
| ~ spl5_90
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3105,f2076,f767,f535,f286,f10256]) ).
fof(f10256,plain,
( spl5_483
<=> sz0z00 = sdtasdt0(smndt0(xS),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_483])]) ).
fof(f3105,plain,
( sz0z00 = sdtasdt0(smndt0(xS),sz0z00)
| ~ spl5_11
| ~ spl5_59
| ~ spl5_90
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3093,f1182]) ).
fof(f1182,plain,
( sz0z00 = sdtasdt0(xS,sz0z00)
| ~ spl5_59
| ~ spl5_90 ),
inference(resolution,[],[f769,f536]) ).
fof(f3093,plain,
( sdtasdt0(xS,sz0z00) = sdtasdt0(smndt0(xS),sz0z00)
| ~ spl5_11
| ~ spl5_167 ),
inference(resolution,[],[f2077,f288]) ).
fof(f10254,plain,
( spl5_482
| ~ spl5_14
| ~ spl5_59
| ~ spl5_86
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3104,f2076,f693,f535,f301,f10251]) ).
fof(f10251,plain,
( spl5_482
<=> sz0z00 = sdtasdt0(smndt0(xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_482])]) ).
fof(f3104,plain,
( sz0z00 = sdtasdt0(smndt0(xP),sz0z00)
| ~ spl5_14
| ~ spl5_59
| ~ spl5_86
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3092,f1175]) ).
fof(f1175,plain,
( sz0z00 = sdtasdt0(xP,sz0z00)
| ~ spl5_59
| ~ spl5_86 ),
inference(resolution,[],[f695,f536]) ).
fof(f3092,plain,
( sdtasdt0(xP,sz0z00) = sdtasdt0(smndt0(xP),sz0z00)
| ~ spl5_14
| ~ spl5_167 ),
inference(resolution,[],[f2077,f303]) ).
fof(f10249,plain,
( spl5_481
| ~ spl5_12
| ~ spl5_59
| ~ spl5_79
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3103,f2076,f652,f535,f291,f10246]) ).
fof(f10246,plain,
( spl5_481
<=> sz0z00 = sdtasdt0(smndt0(xR),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_481])]) ).
fof(f3103,plain,
( sz0z00 = sdtasdt0(smndt0(xR),sz0z00)
| ~ spl5_12
| ~ spl5_59
| ~ spl5_79
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3091,f1168]) ).
fof(f1168,plain,
( sz0z00 = sdtasdt0(xR,sz0z00)
| ~ spl5_59
| ~ spl5_79 ),
inference(resolution,[],[f654,f536]) ).
fof(f3091,plain,
( sdtasdt0(xR,sz0z00) = sdtasdt0(smndt0(xR),sz0z00)
| ~ spl5_12
| ~ spl5_167 ),
inference(resolution,[],[f2077,f293]) ).
fof(f10244,plain,
( spl5_480
| ~ spl5_7
| ~ spl5_59
| ~ spl5_73
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3102,f2076,f616,f535,f266,f10241]) ).
fof(f10241,plain,
( spl5_480
<=> sz0z00 = sdtasdt0(smndt0(xH),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_480])]) ).
fof(f3102,plain,
( sz0z00 = sdtasdt0(smndt0(xH),sz0z00)
| ~ spl5_7
| ~ spl5_59
| ~ spl5_73
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3090,f1161]) ).
fof(f1161,plain,
( sz0z00 = sdtasdt0(xH,sz0z00)
| ~ spl5_59
| ~ spl5_73 ),
inference(resolution,[],[f618,f536]) ).
fof(f3090,plain,
( sdtasdt0(xH,sz0z00) = sdtasdt0(smndt0(xH),sz0z00)
| ~ spl5_7
| ~ spl5_167 ),
inference(resolution,[],[f2077,f268]) ).
fof(f10239,plain,
( spl5_479
| ~ spl5_6
| ~ spl5_59
| ~ spl5_69
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3101,f2076,f580,f535,f261,f10236]) ).
fof(f10236,plain,
( spl5_479
<=> sz0z00 = sdtasdt0(smndt0(xG),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_479])]) ).
fof(f3101,plain,
( sz0z00 = sdtasdt0(smndt0(xG),sz0z00)
| ~ spl5_6
| ~ spl5_59
| ~ spl5_69
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3089,f1154]) ).
fof(f1154,plain,
( sz0z00 = sdtasdt0(xG,sz0z00)
| ~ spl5_59
| ~ spl5_69 ),
inference(resolution,[],[f582,f536]) ).
fof(f3089,plain,
( sdtasdt0(xG,sz0z00) = sdtasdt0(smndt0(xG),sz0z00)
| ~ spl5_6
| ~ spl5_167 ),
inference(resolution,[],[f2077,f263]) ).
fof(f10234,plain,
( spl5_478
| ~ spl5_8
| ~ spl5_59
| ~ spl5_62
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3100,f2076,f551,f535,f271,f10231]) ).
fof(f10231,plain,
( spl5_478
<=> sz0z00 = sdtasdt0(smndt0(xF),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_478])]) ).
fof(f3100,plain,
( sz0z00 = sdtasdt0(smndt0(xF),sz0z00)
| ~ spl5_8
| ~ spl5_59
| ~ spl5_62
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3088,f1147]) ).
fof(f1147,plain,
( sz0z00 = sdtasdt0(xF,sz0z00)
| ~ spl5_59
| ~ spl5_62 ),
inference(resolution,[],[f553,f536]) ).
fof(f3088,plain,
( sdtasdt0(xF,sz0z00) = sdtasdt0(smndt0(xF),sz0z00)
| ~ spl5_8
| ~ spl5_167 ),
inference(resolution,[],[f2077,f273]) ).
fof(f10229,plain,
( spl5_477
| ~ spl5_15
| ~ spl5_54
| ~ spl5_59
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3099,f2076,f535,f514,f306,f10226]) ).
fof(f10226,plain,
( spl5_477
<=> sz0z00 = sdtasdt0(smndt0(xE),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_477])]) ).
fof(f3099,plain,
( sz0z00 = sdtasdt0(smndt0(xE),sz0z00)
| ~ spl5_15
| ~ spl5_54
| ~ spl5_59
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3087,f1140]) ).
fof(f1140,plain,
( sz0z00 = sdtasdt0(xE,sz0z00)
| ~ spl5_54
| ~ spl5_59 ),
inference(resolution,[],[f516,f536]) ).
fof(f3087,plain,
( sdtasdt0(xE,sz0z00) = sdtasdt0(smndt0(xE),sz0z00)
| ~ spl5_15
| ~ spl5_167 ),
inference(resolution,[],[f2077,f308]) ).
fof(f10224,plain,
( spl5_476
| ~ spl5_9
| ~ spl5_48
| ~ spl5_59
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3098,f2076,f535,f482,f276,f10221]) ).
fof(f10221,plain,
( spl5_476
<=> sz0z00 = sdtasdt0(smndt0(xD),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_476])]) ).
fof(f3098,plain,
( sz0z00 = sdtasdt0(smndt0(xD),sz0z00)
| ~ spl5_9
| ~ spl5_48
| ~ spl5_59
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3086,f1133]) ).
fof(f1133,plain,
( sz0z00 = sdtasdt0(xD,sz0z00)
| ~ spl5_48
| ~ spl5_59 ),
inference(resolution,[],[f484,f536]) ).
fof(f3086,plain,
( sdtasdt0(xD,sz0z00) = sdtasdt0(smndt0(xD),sz0z00)
| ~ spl5_9
| ~ spl5_167 ),
inference(resolution,[],[f2077,f278]) ).
fof(f10219,plain,
( spl5_475
| ~ spl5_10
| ~ spl5_43
| ~ spl5_59
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3097,f2076,f535,f454,f281,f10216]) ).
fof(f10216,plain,
( spl5_475
<=> sz0z00 = sdtasdt0(smndt0(xC),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_475])]) ).
fof(f3097,plain,
( sz0z00 = sdtasdt0(smndt0(xC),sz0z00)
| ~ spl5_10
| ~ spl5_43
| ~ spl5_59
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3085,f1097]) ).
fof(f1097,plain,
( sz0z00 = sdtasdt0(xC,sz0z00)
| ~ spl5_43
| ~ spl5_59 ),
inference(resolution,[],[f456,f536]) ).
fof(f3085,plain,
( sdtasdt0(xC,sz0z00) = sdtasdt0(smndt0(xC),sz0z00)
| ~ spl5_10
| ~ spl5_167 ),
inference(resolution,[],[f2077,f283]) ).
fof(f10214,plain,
( spl5_474
| ~ spl5_16
| ~ spl5_37
| ~ spl5_59
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3096,f2076,f535,f429,f311,f10211]) ).
fof(f10211,plain,
( spl5_474
<=> sz0z00 = sdtasdt0(smndt0(xB),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_474])]) ).
fof(f429,plain,
( spl5_37
<=> sP2(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f3096,plain,
( sz0z00 = sdtasdt0(smndt0(xB),sz0z00)
| ~ spl5_16
| ~ spl5_37
| ~ spl5_59
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3084,f1037]) ).
fof(f1037,plain,
( sz0z00 = sdtasdt0(xB,sz0z00)
| ~ spl5_37
| ~ spl5_59 ),
inference(resolution,[],[f431,f536]) ).
fof(f431,plain,
( sP2(xB)
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f3084,plain,
( sdtasdt0(xB,sz0z00) = sdtasdt0(smndt0(xB),sz0z00)
| ~ spl5_16
| ~ spl5_167 ),
inference(resolution,[],[f2077,f313]) ).
fof(f10209,plain,
( spl5_473
| ~ spl5_17
| ~ spl5_167
| ~ spl5_168 ),
inference(avatar_split_clause,[],[f3095,f2360,f2076,f316,f10206]) ).
fof(f10206,plain,
( spl5_473
<=> sz0z00 = sdtasdt0(smndt0(xA),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_473])]) ).
fof(f2360,plain,
( spl5_168
<=> sz0z00 = sdtasdt0(xA,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_168])]) ).
fof(f3095,plain,
( sz0z00 = sdtasdt0(smndt0(xA),sz0z00)
| ~ spl5_17
| ~ spl5_167
| ~ spl5_168 ),
inference(forward_demodulation,[],[f3083,f2362]) ).
fof(f2362,plain,
( sz0z00 = sdtasdt0(xA,sz0z00)
| ~ spl5_168 ),
inference(avatar_component_clause,[],[f2360]) ).
fof(f3083,plain,
( sdtasdt0(xA,sz0z00) = sdtasdt0(smndt0(xA),sz0z00)
| ~ spl5_17
| ~ spl5_167 ),
inference(resolution,[],[f2077,f318]) ).
fof(f10204,plain,
( spl5_472
| ~ spl5_45
| ~ spl5_71
| ~ spl5_112 ),
inference(avatar_split_clause,[],[f1223,f1215,f608,f466,f10201]) ).
fof(f10201,plain,
( spl5_472
<=> xB = sdtlbdtrb0(xq,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_472])]) ).
fof(f466,plain,
( spl5_45
<=> xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f608,plain,
( spl5_71
<=> ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
fof(f1215,plain,
( spl5_112
<=> aNaturalNumber0(aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_112])]) ).
fof(f1223,plain,
( xB = sdtlbdtrb0(xq,aDimensionOf0(xt))
| ~ spl5_45
| ~ spl5_71
| ~ spl5_112 ),
inference(forward_demodulation,[],[f1221,f468]) ).
fof(f468,plain,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
| ~ spl5_45 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f1221,plain,
( sdtlbdtrb0(xt,aDimensionOf0(xt)) = sdtlbdtrb0(xq,aDimensionOf0(xt))
| ~ spl5_71
| ~ spl5_112 ),
inference(resolution,[],[f1217,f609]) ).
fof(f609,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
| ~ spl5_71 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f1217,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ spl5_112 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f10199,plain,
( spl5_471
| ~ spl5_47
| ~ spl5_72
| ~ spl5_112 ),
inference(avatar_split_clause,[],[f1222,f1215,f612,f476,f10196]) ).
fof(f10196,plain,
( spl5_471
<=> xA = sdtlbdtrb0(xp,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_471])]) ).
fof(f476,plain,
( spl5_47
<=> xA = sdtlbdtrb0(xs,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f612,plain,
( spl5_72
<=> ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
fof(f1222,plain,
( xA = sdtlbdtrb0(xp,aDimensionOf0(xt))
| ~ spl5_47
| ~ spl5_72
| ~ spl5_112 ),
inference(forward_demodulation,[],[f1220,f478]) ).
fof(f478,plain,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xt))
| ~ spl5_47 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f1220,plain,
( sdtlbdtrb0(xs,aDimensionOf0(xt)) = sdtlbdtrb0(xp,aDimensionOf0(xt))
| ~ spl5_72
| ~ spl5_112 ),
inference(resolution,[],[f1217,f613]) ).
fof(f613,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
| ~ spl5_72 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f10194,plain,
( spl5_470
| ~ spl5_65
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1193,f883,f564,f10191]) ).
fof(f10191,plain,
( spl5_470
<=> sz0z00 = sdtpldt0(smndt0(xN),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_470])]) ).
fof(f1193,plain,
( sz0z00 = sdtpldt0(smndt0(xN),xN)
| ~ spl5_65
| ~ spl5_93 ),
inference(resolution,[],[f885,f565]) ).
fof(f10189,plain,
( spl5_469
| ~ spl5_64
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1192,f883,f560,f10186]) ).
fof(f10186,plain,
( spl5_469
<=> sz0z00 = sdtpldt0(xN,smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_469])]) ).
fof(f1192,plain,
( sz0z00 = sdtpldt0(xN,smndt0(xN))
| ~ spl5_64
| ~ spl5_93 ),
inference(resolution,[],[f885,f561]) ).
fof(f10184,plain,
( spl5_468
| ~ spl5_65
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1186,f767,f564,f10181]) ).
fof(f10181,plain,
( spl5_468
<=> sz0z00 = sdtpldt0(smndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_468])]) ).
fof(f1186,plain,
( sz0z00 = sdtpldt0(smndt0(xS),xS)
| ~ spl5_65
| ~ spl5_90 ),
inference(resolution,[],[f769,f565]) ).
fof(f10179,plain,
( spl5_467
| ~ spl5_64
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1185,f767,f560,f10176]) ).
fof(f10176,plain,
( spl5_467
<=> sz0z00 = sdtpldt0(xS,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_467])]) ).
fof(f1185,plain,
( sz0z00 = sdtpldt0(xS,smndt0(xS))
| ~ spl5_64
| ~ spl5_90 ),
inference(resolution,[],[f769,f561]) ).
fof(f10174,plain,
( spl5_466
| ~ spl5_65
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1179,f693,f564,f10171]) ).
fof(f10171,plain,
( spl5_466
<=> sz0z00 = sdtpldt0(smndt0(xP),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_466])]) ).
fof(f1179,plain,
( sz0z00 = sdtpldt0(smndt0(xP),xP)
| ~ spl5_65
| ~ spl5_86 ),
inference(resolution,[],[f695,f565]) ).
fof(f10169,plain,
( spl5_465
| ~ spl5_64
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1178,f693,f560,f10166]) ).
fof(f10166,plain,
( spl5_465
<=> sz0z00 = sdtpldt0(xP,smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_465])]) ).
fof(f1178,plain,
( sz0z00 = sdtpldt0(xP,smndt0(xP))
| ~ spl5_64
| ~ spl5_86 ),
inference(resolution,[],[f695,f561]) ).
fof(f10164,plain,
( spl5_464
| ~ spl5_65
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1172,f652,f564,f10161]) ).
fof(f10161,plain,
( spl5_464
<=> sz0z00 = sdtpldt0(smndt0(xR),xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_464])]) ).
fof(f1172,plain,
( sz0z00 = sdtpldt0(smndt0(xR),xR)
| ~ spl5_65
| ~ spl5_79 ),
inference(resolution,[],[f654,f565]) ).
fof(f10159,plain,
( spl5_463
| ~ spl5_64
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1171,f652,f560,f10156]) ).
fof(f10156,plain,
( spl5_463
<=> sz0z00 = sdtpldt0(xR,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_463])]) ).
fof(f1171,plain,
( sz0z00 = sdtpldt0(xR,smndt0(xR))
| ~ spl5_64
| ~ spl5_79 ),
inference(resolution,[],[f654,f561]) ).
fof(f10154,plain,
( spl5_462
| ~ spl5_65
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1165,f616,f564,f10151]) ).
fof(f10151,plain,
( spl5_462
<=> sz0z00 = sdtpldt0(smndt0(xH),xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_462])]) ).
fof(f1165,plain,
( sz0z00 = sdtpldt0(smndt0(xH),xH)
| ~ spl5_65
| ~ spl5_73 ),
inference(resolution,[],[f618,f565]) ).
fof(f10149,plain,
( spl5_461
| ~ spl5_64
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1164,f616,f560,f10146]) ).
fof(f10146,plain,
( spl5_461
<=> sz0z00 = sdtpldt0(xH,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_461])]) ).
fof(f1164,plain,
( sz0z00 = sdtpldt0(xH,smndt0(xH))
| ~ spl5_64
| ~ spl5_73 ),
inference(resolution,[],[f618,f561]) ).
fof(f10144,plain,
( spl5_460
| ~ spl5_65
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1158,f580,f564,f10141]) ).
fof(f10141,plain,
( spl5_460
<=> sz0z00 = sdtpldt0(smndt0(xG),xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_460])]) ).
fof(f1158,plain,
( sz0z00 = sdtpldt0(smndt0(xG),xG)
| ~ spl5_65
| ~ spl5_69 ),
inference(resolution,[],[f582,f565]) ).
fof(f10139,plain,
( spl5_459
| ~ spl5_64
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1157,f580,f560,f10136]) ).
fof(f10136,plain,
( spl5_459
<=> sz0z00 = sdtpldt0(xG,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_459])]) ).
fof(f1157,plain,
( sz0z00 = sdtpldt0(xG,smndt0(xG))
| ~ spl5_64
| ~ spl5_69 ),
inference(resolution,[],[f582,f561]) ).
fof(f10134,plain,
( spl5_458
| ~ spl5_62
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1151,f564,f551,f10131]) ).
fof(f10131,plain,
( spl5_458
<=> sz0z00 = sdtpldt0(smndt0(xF),xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_458])]) ).
fof(f1151,plain,
( sz0z00 = sdtpldt0(smndt0(xF),xF)
| ~ spl5_62
| ~ spl5_65 ),
inference(resolution,[],[f553,f565]) ).
fof(f10129,plain,
( spl5_457
| ~ spl5_62
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1150,f560,f551,f10126]) ).
fof(f10126,plain,
( spl5_457
<=> sz0z00 = sdtpldt0(xF,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_457])]) ).
fof(f1150,plain,
( sz0z00 = sdtpldt0(xF,smndt0(xF))
| ~ spl5_62
| ~ spl5_64 ),
inference(resolution,[],[f553,f561]) ).
fof(f10124,plain,
( spl5_456
| ~ spl5_54
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1144,f564,f514,f10121]) ).
fof(f10121,plain,
( spl5_456
<=> sz0z00 = sdtpldt0(smndt0(xE),xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_456])]) ).
fof(f1144,plain,
( sz0z00 = sdtpldt0(smndt0(xE),xE)
| ~ spl5_54
| ~ spl5_65 ),
inference(resolution,[],[f516,f565]) ).
fof(f10119,plain,
( spl5_455
| ~ spl5_54
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1143,f560,f514,f10116]) ).
fof(f10116,plain,
( spl5_455
<=> sz0z00 = sdtpldt0(xE,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_455])]) ).
fof(f1143,plain,
( sz0z00 = sdtpldt0(xE,smndt0(xE))
| ~ spl5_54
| ~ spl5_64 ),
inference(resolution,[],[f516,f561]) ).
fof(f10114,plain,
( spl5_454
| ~ spl5_48
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1137,f564,f482,f10111]) ).
fof(f10111,plain,
( spl5_454
<=> sz0z00 = sdtpldt0(smndt0(xD),xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_454])]) ).
fof(f1137,plain,
( sz0z00 = sdtpldt0(smndt0(xD),xD)
| ~ spl5_48
| ~ spl5_65 ),
inference(resolution,[],[f484,f565]) ).
fof(f10109,plain,
( spl5_453
| ~ spl5_48
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1136,f560,f482,f10106]) ).
fof(f10106,plain,
( spl5_453
<=> sz0z00 = sdtpldt0(xD,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_453])]) ).
fof(f1136,plain,
( sz0z00 = sdtpldt0(xD,smndt0(xD))
| ~ spl5_48
| ~ spl5_64 ),
inference(resolution,[],[f484,f561]) ).
fof(f10104,plain,
( spl5_452
| ~ spl5_43
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1101,f564,f454,f10101]) ).
fof(f10101,plain,
( spl5_452
<=> sz0z00 = sdtpldt0(smndt0(xC),xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_452])]) ).
fof(f1101,plain,
( sz0z00 = sdtpldt0(smndt0(xC),xC)
| ~ spl5_43
| ~ spl5_65 ),
inference(resolution,[],[f456,f565]) ).
fof(f10099,plain,
( spl5_451
| ~ spl5_43
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1100,f560,f454,f10096]) ).
fof(f10096,plain,
( spl5_451
<=> sz0z00 = sdtpldt0(xC,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_451])]) ).
fof(f1100,plain,
( sz0z00 = sdtpldt0(xC,smndt0(xC))
| ~ spl5_43
| ~ spl5_64 ),
inference(resolution,[],[f456,f561]) ).
fof(f10094,plain,
( spl5_450
| ~ spl5_37
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f1041,f564,f429,f10091]) ).
fof(f10091,plain,
( spl5_450
<=> sz0z00 = sdtpldt0(smndt0(xB),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_450])]) ).
fof(f1041,plain,
( sz0z00 = sdtpldt0(smndt0(xB),xB)
| ~ spl5_37
| ~ spl5_65 ),
inference(resolution,[],[f431,f565]) ).
fof(f10089,plain,
( spl5_449
| ~ spl5_37
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1040,f560,f429,f10086]) ).
fof(f10086,plain,
( spl5_449
<=> sz0z00 = sdtpldt0(xB,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_449])]) ).
fof(f1040,plain,
( sz0z00 = sdtpldt0(xB,smndt0(xB))
| ~ spl5_37
| ~ spl5_64 ),
inference(resolution,[],[f431,f561]) ).
fof(f10084,plain,
( spl5_448
| ~ spl5_34
| ~ spl5_65 ),
inference(avatar_split_clause,[],[f943,f564,f413,f10081]) ).
fof(f10081,plain,
( spl5_448
<=> sz0z00 = sdtpldt0(smndt0(xA),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_448])]) ).
fof(f413,plain,
( spl5_34
<=> sP2(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f943,plain,
( sz0z00 = sdtpldt0(smndt0(xA),xA)
| ~ spl5_34
| ~ spl5_65 ),
inference(resolution,[],[f415,f565]) ).
fof(f415,plain,
( sP2(xA)
| ~ spl5_34 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f10079,plain,
( spl5_447
| ~ spl5_34
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f942,f560,f413,f10076]) ).
fof(f10076,plain,
( spl5_447
<=> sz0z00 = sdtpldt0(xA,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_447])]) ).
fof(f942,plain,
( sz0z00 = sdtpldt0(xA,smndt0(xA))
| ~ spl5_34
| ~ spl5_64 ),
inference(resolution,[],[f415,f561]) ).
fof(f9993,plain,
( spl5_446
| ~ spl5_40
| ~ spl5_124 ),
inference(avatar_split_clause,[],[f1303,f1293,f442,f9991]) ).
fof(f9991,plain,
( spl5_446
<=> ! [X4] :
( ~ sP1(X4)
| aVector0(sziznziztdt0(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_446])]) ).
fof(f442,plain,
( spl5_40
<=> ! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f1293,plain,
( spl5_124
<=> ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_124])]) ).
fof(f1303,plain,
( ! [X4] :
( ~ sP1(X4)
| aVector0(sziznziztdt0(X4)) )
| ~ spl5_40
| ~ spl5_124 ),
inference(resolution,[],[f1294,f443]) ).
fof(f443,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) )
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f1294,plain,
( ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl5_124 ),
inference(avatar_component_clause,[],[f1293]) ).
fof(f9988,plain,
( spl5_445
| ~ spl5_61
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1203,f1195,f543,f9985]) ).
fof(f9985,plain,
( spl5_445
<=> sz0z00 = smndt0(smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_445])]) ).
fof(f543,plain,
( spl5_61
<=> ! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
fof(f1203,plain,
( sz0z00 = smndt0(smndt0(sz0z00))
| ~ spl5_61
| ~ spl5_110 ),
inference(resolution,[],[f1197,f544]) ).
fof(f544,plain,
( ! [X0] :
( ~ sP2(X0)
| smndt0(smndt0(X0)) = X0 )
| ~ spl5_61 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f9983,plain,
( spl5_444
| ~ spl5_59
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1201,f1195,f535,f9980]) ).
fof(f9980,plain,
( spl5_444
<=> sz0z00 = sdtasdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_444])]) ).
fof(f1201,plain,
( sz0z00 = sdtasdt0(sz0z00,sz0z00)
| ~ spl5_59
| ~ spl5_110 ),
inference(resolution,[],[f1197,f536]) ).
fof(f9978,plain,
( spl5_443
| ~ spl5_57
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1199,f1195,f527,f9975]) ).
fof(f9975,plain,
( spl5_443
<=> sz0z00 = sdtpldt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_443])]) ).
fof(f527,plain,
( spl5_57
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f1199,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl5_57
| ~ spl5_110 ),
inference(resolution,[],[f1197,f528]) ).
fof(f528,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(X0,sz0z00) = X0 )
| ~ spl5_57 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f8921,plain,
( spl5_442
| ~ spl5_11
| ~ spl5_33
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f1943,f1512,f408,f286,f8918]) ).
fof(f8918,plain,
( spl5_442
<=> xN = sdtasdt0(xS,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_442])]) ).
fof(f8916,plain,
( spl5_441
| ~ spl5_7
| ~ spl5_35
| ~ spl5_155 ),
inference(avatar_split_clause,[],[f1863,f1491,f418,f266,f8913]) ).
fof(f8913,plain,
( spl5_441
<=> xP = sdtasdt0(xH,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_441])]) ).
fof(f8911,plain,
( spl5_440
| ~ spl5_8
| ~ spl5_31
| ~ spl5_154 ),
inference(avatar_split_clause,[],[f1843,f1487,f398,f271,f8908]) ).
fof(f8908,plain,
( spl5_440
<=> xS = sdtasdt0(xD,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_440])]) ).
fof(f8906,plain,
( spl5_439
| ~ spl5_6
| ~ spl5_32
| ~ spl5_153 ),
inference(avatar_split_clause,[],[f1823,f1483,f403,f261,f8903]) ).
fof(f8903,plain,
( spl5_439
<=> xR = sdtasdt0(xG,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_439])]) ).
fof(f8901,plain,
( spl5_438
| ~ spl5_16
| ~ spl5_27
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1778,f1475,f378,f311,f8898]) ).
fof(f8898,plain,
( spl5_438
<=> xH = sdtasdt0(xB,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_438])]) ).
fof(f8881,plain,
( spl5_437
| ~ spl5_61
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1191,f883,f543,f8878]) ).
fof(f8878,plain,
( spl5_437
<=> xN = smndt0(smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_437])]) ).
fof(f1191,plain,
( xN = smndt0(smndt0(xN))
| ~ spl5_61
| ~ spl5_93 ),
inference(resolution,[],[f885,f544]) ).
fof(f8876,plain,
( spl5_436
| ~ spl5_60
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1190,f883,f539,f8873]) ).
fof(f8873,plain,
( spl5_436
<=> sz0z00 = sdtasdt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_436])]) ).
fof(f8871,plain,
( spl5_435
| ~ spl5_59
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1189,f883,f535,f8868]) ).
fof(f8868,plain,
( spl5_435
<=> sz0z00 = sdtasdt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_435])]) ).
fof(f8866,plain,
( spl5_434
| ~ spl5_58
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1188,f883,f531,f8863]) ).
fof(f8863,plain,
( spl5_434
<=> xN = sdtpldt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_434])]) ).
fof(f531,plain,
( spl5_58
<=> ! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
fof(f1188,plain,
( xN = sdtpldt0(sz0z00,xN)
| ~ spl5_58
| ~ spl5_93 ),
inference(resolution,[],[f885,f532]) ).
fof(f532,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(sz0z00,X0) = X0 )
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f8861,plain,
( spl5_433
| ~ spl5_57
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1187,f883,f527,f8858]) ).
fof(f8858,plain,
( spl5_433
<=> xN = sdtpldt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_433])]) ).
fof(f1187,plain,
( xN = sdtpldt0(xN,sz0z00)
| ~ spl5_57
| ~ spl5_93 ),
inference(resolution,[],[f885,f528]) ).
fof(f8856,plain,
( spl5_432
| ~ spl5_61
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1184,f767,f543,f8853]) ).
fof(f8853,plain,
( spl5_432
<=> xS = smndt0(smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_432])]) ).
fof(f1184,plain,
( xS = smndt0(smndt0(xS))
| ~ spl5_61
| ~ spl5_90 ),
inference(resolution,[],[f769,f544]) ).
fof(f8851,plain,
( spl5_431
| ~ spl5_60
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1183,f767,f539,f8848]) ).
fof(f8848,plain,
( spl5_431
<=> sz0z00 = sdtasdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_431])]) ).
fof(f8846,plain,
( spl5_430
| ~ spl5_59
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1182,f767,f535,f8843]) ).
fof(f8843,plain,
( spl5_430
<=> sz0z00 = sdtasdt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_430])]) ).
fof(f8841,plain,
( spl5_429
| ~ spl5_58
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1181,f767,f531,f8838]) ).
fof(f8838,plain,
( spl5_429
<=> xS = sdtpldt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_429])]) ).
fof(f1181,plain,
( xS = sdtpldt0(sz0z00,xS)
| ~ spl5_58
| ~ spl5_90 ),
inference(resolution,[],[f769,f532]) ).
fof(f8836,plain,
( spl5_428
| ~ spl5_57
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1180,f767,f527,f8833]) ).
fof(f8833,plain,
( spl5_428
<=> xS = sdtpldt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_428])]) ).
fof(f1180,plain,
( xS = sdtpldt0(xS,sz0z00)
| ~ spl5_57
| ~ spl5_90 ),
inference(resolution,[],[f769,f528]) ).
fof(f8831,plain,
( spl5_427
| ~ spl5_61
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1177,f693,f543,f8828]) ).
fof(f8828,plain,
( spl5_427
<=> xP = smndt0(smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_427])]) ).
fof(f1177,plain,
( xP = smndt0(smndt0(xP))
| ~ spl5_61
| ~ spl5_86 ),
inference(resolution,[],[f695,f544]) ).
fof(f8826,plain,
( spl5_426
| ~ spl5_60
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1176,f693,f539,f8823]) ).
fof(f8823,plain,
( spl5_426
<=> sz0z00 = sdtasdt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_426])]) ).
fof(f8821,plain,
( spl5_425
| ~ spl5_59
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1175,f693,f535,f8818]) ).
fof(f8818,plain,
( spl5_425
<=> sz0z00 = sdtasdt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_425])]) ).
fof(f8816,plain,
( spl5_424
| ~ spl5_58
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1174,f693,f531,f8813]) ).
fof(f8813,plain,
( spl5_424
<=> xP = sdtpldt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_424])]) ).
fof(f1174,plain,
( xP = sdtpldt0(sz0z00,xP)
| ~ spl5_58
| ~ spl5_86 ),
inference(resolution,[],[f695,f532]) ).
fof(f8811,plain,
( spl5_423
| ~ spl5_57
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f1173,f693,f527,f8808]) ).
fof(f8808,plain,
( spl5_423
<=> xP = sdtpldt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_423])]) ).
fof(f1173,plain,
( xP = sdtpldt0(xP,sz0z00)
| ~ spl5_57
| ~ spl5_86 ),
inference(resolution,[],[f695,f528]) ).
fof(f8806,plain,
( spl5_422
| ~ spl5_61
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1170,f652,f543,f8803]) ).
fof(f8803,plain,
( spl5_422
<=> xR = smndt0(smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_422])]) ).
fof(f1170,plain,
( xR = smndt0(smndt0(xR))
| ~ spl5_61
| ~ spl5_79 ),
inference(resolution,[],[f654,f544]) ).
fof(f8801,plain,
( spl5_421
| ~ spl5_60
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1169,f652,f539,f8798]) ).
fof(f8798,plain,
( spl5_421
<=> sz0z00 = sdtasdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_421])]) ).
fof(f8796,plain,
( spl5_420
| ~ spl5_59
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1168,f652,f535,f8793]) ).
fof(f8793,plain,
( spl5_420
<=> sz0z00 = sdtasdt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_420])]) ).
fof(f8791,plain,
( spl5_419
| ~ spl5_58
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1167,f652,f531,f8788]) ).
fof(f8788,plain,
( spl5_419
<=> xR = sdtpldt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_419])]) ).
fof(f1167,plain,
( xR = sdtpldt0(sz0z00,xR)
| ~ spl5_58
| ~ spl5_79 ),
inference(resolution,[],[f654,f532]) ).
fof(f8786,plain,
( spl5_418
| ~ spl5_57
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1166,f652,f527,f8783]) ).
fof(f8783,plain,
( spl5_418
<=> xR = sdtpldt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_418])]) ).
fof(f1166,plain,
( xR = sdtpldt0(xR,sz0z00)
| ~ spl5_57
| ~ spl5_79 ),
inference(resolution,[],[f654,f528]) ).
fof(f8781,plain,
( spl5_417
| ~ spl5_61
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1163,f616,f543,f8778]) ).
fof(f8778,plain,
( spl5_417
<=> xH = smndt0(smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_417])]) ).
fof(f1163,plain,
( xH = smndt0(smndt0(xH))
| ~ spl5_61
| ~ spl5_73 ),
inference(resolution,[],[f618,f544]) ).
fof(f8776,plain,
( spl5_416
| ~ spl5_60
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1162,f616,f539,f8773]) ).
fof(f8773,plain,
( spl5_416
<=> sz0z00 = sdtasdt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_416])]) ).
fof(f8771,plain,
( spl5_415
| ~ spl5_59
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1161,f616,f535,f8768]) ).
fof(f8768,plain,
( spl5_415
<=> sz0z00 = sdtasdt0(xH,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_415])]) ).
fof(f8766,plain,
( spl5_414
| ~ spl5_58
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1160,f616,f531,f8763]) ).
fof(f8763,plain,
( spl5_414
<=> xH = sdtpldt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_414])]) ).
fof(f1160,plain,
( xH = sdtpldt0(sz0z00,xH)
| ~ spl5_58
| ~ spl5_73 ),
inference(resolution,[],[f618,f532]) ).
fof(f8681,plain,
( spl5_413
| ~ spl5_67
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1106,f1092,f572,f8679]) ).
fof(f8679,plain,
( spl5_413
<=> ! [X18,X19,X20,X17,X21] :
( sdtasdt0(sdtpldt0(X17,X18),sdtpldt0(X19,sdtlbdtrb0(X20,X21))) = sdtpldt0(sdtpldt0(sdtasdt0(X17,X19),sdtasdt0(X17,sdtlbdtrb0(X20,X21))),sdtpldt0(sdtasdt0(X18,X19),sdtasdt0(X18,sdtlbdtrb0(X20,X21))))
| ~ aScalar0(X19)
| ~ aScalar0(X18)
| ~ aScalar0(X17)
| ~ aNaturalNumber0(X21)
| ~ aVector0(X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_413])]) ).
fof(f572,plain,
( spl5_67
<=> ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_67])]) ).
fof(f1092,plain,
( spl5_108
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_108])]) ).
fof(f1106,plain,
( ! [X21,X18,X19,X17,X20] :
( sdtasdt0(sdtpldt0(X17,X18),sdtpldt0(X19,sdtlbdtrb0(X20,X21))) = sdtpldt0(sdtpldt0(sdtasdt0(X17,X19),sdtasdt0(X17,sdtlbdtrb0(X20,X21))),sdtpldt0(sdtasdt0(X18,X19),sdtasdt0(X18,sdtlbdtrb0(X20,X21))))
| ~ aScalar0(X19)
| ~ aScalar0(X18)
| ~ aScalar0(X17)
| ~ aNaturalNumber0(X21)
| ~ aVector0(X20) )
| ~ spl5_67
| ~ spl5_108 ),
inference(resolution,[],[f1093,f573]) ).
fof(f573,plain,
( ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl5_67 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1093,plain,
( ! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_108 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f8677,plain,
( spl5_412
| ~ spl5_70
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1104,f1092,f585,f8675]) ).
fof(f8675,plain,
( spl5_412
<=> ! [X10,X11,X12,X9,X8] :
( sdtasdt0(sdtpldt0(X8,X9),sdtpldt0(X10,sdtasdt0(X11,X12))) = sdtpldt0(sdtpldt0(sdtasdt0(X8,X10),sdtasdt0(X8,sdtasdt0(X11,X12))),sdtpldt0(sdtasdt0(X9,X10),sdtasdt0(X9,sdtasdt0(X11,X12))))
| ~ aScalar0(X10)
| ~ aScalar0(X9)
| ~ aScalar0(X8)
| ~ aScalar0(X12)
| ~ aScalar0(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_412])]) ).
fof(f585,plain,
( spl5_70
<=> ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
fof(f1104,plain,
( ! [X10,X11,X8,X9,X12] :
( sdtasdt0(sdtpldt0(X8,X9),sdtpldt0(X10,sdtasdt0(X11,X12))) = sdtpldt0(sdtpldt0(sdtasdt0(X8,X10),sdtasdt0(X8,sdtasdt0(X11,X12))),sdtpldt0(sdtasdt0(X9,X10),sdtasdt0(X9,sdtasdt0(X11,X12))))
| ~ aScalar0(X10)
| ~ aScalar0(X9)
| ~ aScalar0(X8)
| ~ aScalar0(X12)
| ~ aScalar0(X11) )
| ~ spl5_70
| ~ spl5_108 ),
inference(resolution,[],[f1093,f586]) ).
fof(f586,plain,
( ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_70 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f8673,plain,
( spl5_411
| ~ spl5_68
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1103,f1092,f576,f8671]) ).
fof(f8671,plain,
( spl5_411
<=> ! [X5,X4,X7,X6,X3] :
( sdtasdt0(sdtpldt0(X3,X4),sdtpldt0(X5,sdtpldt0(X6,X7))) = sdtpldt0(sdtpldt0(sdtasdt0(X3,X5),sdtasdt0(X3,sdtpldt0(X6,X7))),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,sdtpldt0(X6,X7))))
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X7)
| ~ aScalar0(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_411])]) ).
fof(f576,plain,
( spl5_68
<=> ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
fof(f1103,plain,
( ! [X3,X6,X7,X4,X5] :
( sdtasdt0(sdtpldt0(X3,X4),sdtpldt0(X5,sdtpldt0(X6,X7))) = sdtpldt0(sdtpldt0(sdtasdt0(X3,X5),sdtasdt0(X3,sdtpldt0(X6,X7))),sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,sdtpldt0(X6,X7))))
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X7)
| ~ aScalar0(X6) )
| ~ spl5_68
| ~ spl5_108 ),
inference(resolution,[],[f1093,f577]) ).
fof(f577,plain,
( ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_68 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f8669,plain,
( spl5_410
| ~ spl5_57
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f1159,f616,f527,f8666]) ).
fof(f8666,plain,
( spl5_410
<=> xH = sdtpldt0(xH,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_410])]) ).
fof(f1159,plain,
( xH = sdtpldt0(xH,sz0z00)
| ~ spl5_57
| ~ spl5_73 ),
inference(resolution,[],[f618,f528]) ).
fof(f8664,plain,
( spl5_409
| ~ spl5_87
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1064,f1060,f698,f8662]) ).
fof(f8662,plain,
( spl5_409
<=> ! [X5,X7,X6,X8] :
( ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(sz0z00,X5)
| ~ sdtlseqdt0(X7,X8)
| ~ aScalar0(X6)
| ~ aScalar0(X5)
| ~ aScalar0(X8)
| ~ aScalar0(X7)
| sdtasdt0(X8,X6) = sdtasdt0(X7,X5)
| ~ sdtlseqdt0(sdtasdt0(X8,X6),sdtasdt0(X7,X5))
| ~ aScalar0(sdtasdt0(X7,X5))
| ~ aScalar0(sdtasdt0(X8,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_409])]) ).
fof(f698,plain,
( spl5_87
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f1060,plain,
( spl5_106
<=> ! [X0,X3,X2,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_106])]) ).
fof(f1064,plain,
( ! [X8,X6,X7,X5] :
( ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(sz0z00,X5)
| ~ sdtlseqdt0(X7,X8)
| ~ aScalar0(X6)
| ~ aScalar0(X5)
| ~ aScalar0(X8)
| ~ aScalar0(X7)
| sdtasdt0(X8,X6) = sdtasdt0(X7,X5)
| ~ sdtlseqdt0(sdtasdt0(X8,X6),sdtasdt0(X7,X5))
| ~ aScalar0(sdtasdt0(X7,X5))
| ~ aScalar0(sdtasdt0(X8,X6)) )
| ~ spl5_87
| ~ spl5_106 ),
inference(resolution,[],[f1061,f699]) ).
fof(f699,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_87 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f1061,plain,
( ! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_106 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f8626,plain,
( spl5_408
| ~ spl5_96
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1063,f1060,f896,f8624]) ).
fof(f8624,plain,
( spl5_408
<=> ! [X4,X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtasdt0(X3,X1))
| ~ sdtlseqdt0(X4,sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_408])]) ).
fof(f896,plain,
( spl5_96
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_96])]) ).
fof(f1063,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtasdt0(X3,X1))
| ~ sdtlseqdt0(X4,sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(X4) )
| ~ spl5_96
| ~ spl5_106 ),
inference(resolution,[],[f1061,f897]) ).
fof(f897,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_96 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f8612,plain,
( spl5_407
| ~ spl5_87
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1053,f1049,f698,f8610]) ).
fof(f8610,plain,
( spl5_407
<=> ! [X5,X7,X6,X8] :
( ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X7,X8)
| ~ aScalar0(X6)
| ~ aScalar0(X5)
| ~ aScalar0(X8)
| ~ aScalar0(X7)
| sdtpldt0(X8,X6) = sdtpldt0(X7,X5)
| ~ sdtlseqdt0(sdtpldt0(X8,X6),sdtpldt0(X7,X5))
| ~ aScalar0(sdtpldt0(X7,X5))
| ~ aScalar0(sdtpldt0(X8,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_407])]) ).
fof(f1049,plain,
( spl5_104
<=> ! [X0,X3,X2,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_104])]) ).
fof(f1053,plain,
( ! [X8,X6,X7,X5] :
( ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X7,X8)
| ~ aScalar0(X6)
| ~ aScalar0(X5)
| ~ aScalar0(X8)
| ~ aScalar0(X7)
| sdtpldt0(X8,X6) = sdtpldt0(X7,X5)
| ~ sdtlseqdt0(sdtpldt0(X8,X6),sdtpldt0(X7,X5))
| ~ aScalar0(sdtpldt0(X7,X5))
| ~ aScalar0(sdtpldt0(X8,X6)) )
| ~ spl5_87
| ~ spl5_104 ),
inference(resolution,[],[f1050,f699]) ).
fof(f1050,plain,
( ! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_104 ),
inference(avatar_component_clause,[],[f1049]) ).
fof(f8574,plain,
( spl5_406
| ~ spl5_41
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1105,f1092,f446,f8572]) ).
fof(f8572,plain,
( spl5_406
<=> ! [X13,X14,X16,X15] :
( sdtasdt0(sdtpldt0(X13,X14),sdtpldt0(X15,smndt0(X16))) = sdtpldt0(sdtpldt0(sdtasdt0(X13,X15),sdtasdt0(X13,smndt0(X16))),sdtpldt0(sdtasdt0(X14,X15),sdtasdt0(X14,smndt0(X16))))
| ~ aScalar0(X15)
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aScalar0(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_406])]) ).
fof(f446,plain,
( spl5_41
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f1105,plain,
( ! [X16,X14,X15,X13] :
( sdtasdt0(sdtpldt0(X13,X14),sdtpldt0(X15,smndt0(X16))) = sdtpldt0(sdtpldt0(sdtasdt0(X13,X15),sdtasdt0(X13,smndt0(X16))),sdtpldt0(sdtasdt0(X14,X15),sdtasdt0(X14,smndt0(X16))))
| ~ aScalar0(X15)
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aScalar0(X16) )
| ~ spl5_41
| ~ spl5_108 ),
inference(resolution,[],[f1093,f447]) ).
fof(f447,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f8570,plain,
( spl5_405
| ~ spl5_96
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1052,f1049,f896,f8568]) ).
fof(f8568,plain,
( spl5_405
<=> ! [X4,X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtpldt0(X3,X1))
| ~ sdtlseqdt0(X4,sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_405])]) ).
fof(f1052,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtlseqdt0(X4,sdtpldt0(X3,X1))
| ~ sdtlseqdt0(X4,sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(X4) )
| ~ spl5_96
| ~ spl5_104 ),
inference(resolution,[],[f1050,f897]) ).
fof(f8526,plain,
( spl5_404
| ~ spl5_61
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1156,f580,f543,f8523]) ).
fof(f8523,plain,
( spl5_404
<=> xG = smndt0(smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_404])]) ).
fof(f1156,plain,
( xG = smndt0(smndt0(xG))
| ~ spl5_61
| ~ spl5_69 ),
inference(resolution,[],[f582,f544]) ).
fof(f8521,plain,
( spl5_403
| ~ spl5_19
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1102,f1092,f326,f8519]) ).
fof(f8519,plain,
( spl5_403
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_403])]) ).
fof(f1102,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sz0z00)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sz0z00)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sz0z00)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_108 ),
inference(resolution,[],[f1093,f328]) ).
fof(f8237,plain,
( spl5_402
| ~ spl5_60
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1155,f580,f539,f8234]) ).
fof(f8234,plain,
( spl5_402
<=> sz0z00 = sdtasdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_402])]) ).
fof(f8146,plain,
( spl5_401
| ~ spl5_13
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1118,f1092,f296,f8144]) ).
fof(f8144,plain,
( spl5_401
<=> ! [X57,X55,X56] :
( sdtasdt0(sdtpldt0(X55,X56),sdtpldt0(X57,xN)) = sdtpldt0(sdtpldt0(sdtasdt0(X55,X57),sdtasdt0(X55,xN)),sdtpldt0(sdtasdt0(X56,X57),sdtasdt0(X56,xN)))
| ~ aScalar0(X57)
| ~ aScalar0(X56)
| ~ aScalar0(X55) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_401])]) ).
fof(f1118,plain,
( ! [X56,X57,X55] :
( sdtasdt0(sdtpldt0(X55,X56),sdtpldt0(X57,xN)) = sdtpldt0(sdtpldt0(sdtasdt0(X55,X57),sdtasdt0(X55,xN)),sdtpldt0(sdtasdt0(X56,X57),sdtasdt0(X56,xN)))
| ~ aScalar0(X57)
| ~ aScalar0(X56)
| ~ aScalar0(X55) )
| ~ spl5_13
| ~ spl5_108 ),
inference(resolution,[],[f1093,f298]) ).
fof(f8142,plain,
( spl5_400
| ~ spl5_11
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1117,f1092,f286,f8140]) ).
fof(f8140,plain,
( spl5_400
<=> ! [X54,X52,X53] :
( sdtasdt0(sdtpldt0(X52,X53),sdtpldt0(X54,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(X52,X54),sdtasdt0(X52,xS)),sdtpldt0(sdtasdt0(X53,X54),sdtasdt0(X53,xS)))
| ~ aScalar0(X54)
| ~ aScalar0(X53)
| ~ aScalar0(X52) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_400])]) ).
fof(f1117,plain,
( ! [X54,X52,X53] :
( sdtasdt0(sdtpldt0(X52,X53),sdtpldt0(X54,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(X52,X54),sdtasdt0(X52,xS)),sdtpldt0(sdtasdt0(X53,X54),sdtasdt0(X53,xS)))
| ~ aScalar0(X54)
| ~ aScalar0(X53)
| ~ aScalar0(X52) )
| ~ spl5_11
| ~ spl5_108 ),
inference(resolution,[],[f1093,f288]) ).
fof(f8138,plain,
( spl5_399
| ~ spl5_14
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1116,f1092,f301,f8136]) ).
fof(f8136,plain,
( spl5_399
<=> ! [X50,X51,X49] :
( sdtasdt0(sdtpldt0(X49,X50),sdtpldt0(X51,xP)) = sdtpldt0(sdtpldt0(sdtasdt0(X49,X51),sdtasdt0(X49,xP)),sdtpldt0(sdtasdt0(X50,X51),sdtasdt0(X50,xP)))
| ~ aScalar0(X51)
| ~ aScalar0(X50)
| ~ aScalar0(X49) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_399])]) ).
fof(f1116,plain,
( ! [X50,X51,X49] :
( sdtasdt0(sdtpldt0(X49,X50),sdtpldt0(X51,xP)) = sdtpldt0(sdtpldt0(sdtasdt0(X49,X51),sdtasdt0(X49,xP)),sdtpldt0(sdtasdt0(X50,X51),sdtasdt0(X50,xP)))
| ~ aScalar0(X51)
| ~ aScalar0(X50)
| ~ aScalar0(X49) )
| ~ spl5_14
| ~ spl5_108 ),
inference(resolution,[],[f1093,f303]) ).
fof(f8134,plain,
( spl5_398
| ~ spl5_12
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1115,f1092,f291,f8132]) ).
fof(f8132,plain,
( spl5_398
<=> ! [X48,X46,X47] :
( sdtasdt0(sdtpldt0(X46,X47),sdtpldt0(X48,xR)) = sdtpldt0(sdtpldt0(sdtasdt0(X46,X48),sdtasdt0(X46,xR)),sdtpldt0(sdtasdt0(X47,X48),sdtasdt0(X47,xR)))
| ~ aScalar0(X48)
| ~ aScalar0(X47)
| ~ aScalar0(X46) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_398])]) ).
fof(f1115,plain,
( ! [X48,X46,X47] :
( sdtasdt0(sdtpldt0(X46,X47),sdtpldt0(X48,xR)) = sdtpldt0(sdtpldt0(sdtasdt0(X46,X48),sdtasdt0(X46,xR)),sdtpldt0(sdtasdt0(X47,X48),sdtasdt0(X47,xR)))
| ~ aScalar0(X48)
| ~ aScalar0(X47)
| ~ aScalar0(X46) )
| ~ spl5_12
| ~ spl5_108 ),
inference(resolution,[],[f1093,f293]) ).
fof(f8130,plain,
( spl5_397
| ~ spl5_7
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1114,f1092,f266,f8128]) ).
fof(f8128,plain,
( spl5_397
<=> ! [X45,X44,X43] :
( sdtasdt0(sdtpldt0(X43,X44),sdtpldt0(X45,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(X43,X45),sdtasdt0(X43,xH)),sdtpldt0(sdtasdt0(X44,X45),sdtasdt0(X44,xH)))
| ~ aScalar0(X45)
| ~ aScalar0(X44)
| ~ aScalar0(X43) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_397])]) ).
fof(f1114,plain,
( ! [X44,X45,X43] :
( sdtasdt0(sdtpldt0(X43,X44),sdtpldt0(X45,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(X43,X45),sdtasdt0(X43,xH)),sdtpldt0(sdtasdt0(X44,X45),sdtasdt0(X44,xH)))
| ~ aScalar0(X45)
| ~ aScalar0(X44)
| ~ aScalar0(X43) )
| ~ spl5_7
| ~ spl5_108 ),
inference(resolution,[],[f1093,f268]) ).
fof(f8126,plain,
( spl5_396
| ~ spl5_6
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1113,f1092,f261,f8124]) ).
fof(f8124,plain,
( spl5_396
<=> ! [X41,X40,X42] :
( sdtasdt0(sdtpldt0(X40,X41),sdtpldt0(X42,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(X40,X42),sdtasdt0(X40,xG)),sdtpldt0(sdtasdt0(X41,X42),sdtasdt0(X41,xG)))
| ~ aScalar0(X42)
| ~ aScalar0(X41)
| ~ aScalar0(X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_396])]) ).
fof(f1113,plain,
( ! [X40,X41,X42] :
( sdtasdt0(sdtpldt0(X40,X41),sdtpldt0(X42,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(X40,X42),sdtasdt0(X40,xG)),sdtpldt0(sdtasdt0(X41,X42),sdtasdt0(X41,xG)))
| ~ aScalar0(X42)
| ~ aScalar0(X41)
| ~ aScalar0(X40) )
| ~ spl5_6
| ~ spl5_108 ),
inference(resolution,[],[f1093,f263]) ).
fof(f8122,plain,
( spl5_395
| ~ spl5_8
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1112,f1092,f271,f8120]) ).
fof(f8120,plain,
( spl5_395
<=> ! [X38,X37,X39] :
( sdtasdt0(sdtpldt0(X37,X38),sdtpldt0(X39,xF)) = sdtpldt0(sdtpldt0(sdtasdt0(X37,X39),sdtasdt0(X37,xF)),sdtpldt0(sdtasdt0(X38,X39),sdtasdt0(X38,xF)))
| ~ aScalar0(X39)
| ~ aScalar0(X38)
| ~ aScalar0(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_395])]) ).
fof(f1112,plain,
( ! [X38,X39,X37] :
( sdtasdt0(sdtpldt0(X37,X38),sdtpldt0(X39,xF)) = sdtpldt0(sdtpldt0(sdtasdt0(X37,X39),sdtasdt0(X37,xF)),sdtpldt0(sdtasdt0(X38,X39),sdtasdt0(X38,xF)))
| ~ aScalar0(X39)
| ~ aScalar0(X38)
| ~ aScalar0(X37) )
| ~ spl5_8
| ~ spl5_108 ),
inference(resolution,[],[f1093,f273]) ).
fof(f8118,plain,
( spl5_394
| ~ spl5_59
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1154,f580,f535,f8115]) ).
fof(f8115,plain,
( spl5_394
<=> sz0z00 = sdtasdt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_394])]) ).
fof(f8113,plain,
( spl5_393
| ~ spl5_15
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1111,f1092,f306,f8111]) ).
fof(f8111,plain,
( spl5_393
<=> ! [X34,X36,X35] :
( sdtasdt0(sdtpldt0(X34,X35),sdtpldt0(X36,xE)) = sdtpldt0(sdtpldt0(sdtasdt0(X34,X36),sdtasdt0(X34,xE)),sdtpldt0(sdtasdt0(X35,X36),sdtasdt0(X35,xE)))
| ~ aScalar0(X36)
| ~ aScalar0(X35)
| ~ aScalar0(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_393])]) ).
fof(f1111,plain,
( ! [X36,X34,X35] :
( sdtasdt0(sdtpldt0(X34,X35),sdtpldt0(X36,xE)) = sdtpldt0(sdtpldt0(sdtasdt0(X34,X36),sdtasdt0(X34,xE)),sdtpldt0(sdtasdt0(X35,X36),sdtasdt0(X35,xE)))
| ~ aScalar0(X36)
| ~ aScalar0(X35)
| ~ aScalar0(X34) )
| ~ spl5_15
| ~ spl5_108 ),
inference(resolution,[],[f1093,f308]) ).
fof(f8109,plain,
( spl5_392
| ~ spl5_9
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1110,f1092,f276,f8107]) ).
fof(f8107,plain,
( spl5_392
<=> ! [X32,X31,X33] :
( sdtasdt0(sdtpldt0(X31,X32),sdtpldt0(X33,xD)) = sdtpldt0(sdtpldt0(sdtasdt0(X31,X33),sdtasdt0(X31,xD)),sdtpldt0(sdtasdt0(X32,X33),sdtasdt0(X32,xD)))
| ~ aScalar0(X33)
| ~ aScalar0(X32)
| ~ aScalar0(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_392])]) ).
fof(f1110,plain,
( ! [X31,X32,X33] :
( sdtasdt0(sdtpldt0(X31,X32),sdtpldt0(X33,xD)) = sdtpldt0(sdtpldt0(sdtasdt0(X31,X33),sdtasdt0(X31,xD)),sdtpldt0(sdtasdt0(X32,X33),sdtasdt0(X32,xD)))
| ~ aScalar0(X33)
| ~ aScalar0(X32)
| ~ aScalar0(X31) )
| ~ spl5_9
| ~ spl5_108 ),
inference(resolution,[],[f1093,f278]) ).
fof(f8105,plain,
( spl5_391
| ~ spl5_10
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1109,f1092,f281,f8103]) ).
fof(f8103,plain,
( spl5_391
<=> ! [X29,X28,X30] :
( sdtasdt0(sdtpldt0(X28,X29),sdtpldt0(X30,xC)) = sdtpldt0(sdtpldt0(sdtasdt0(X28,X30),sdtasdt0(X28,xC)),sdtpldt0(sdtasdt0(X29,X30),sdtasdt0(X29,xC)))
| ~ aScalar0(X30)
| ~ aScalar0(X29)
| ~ aScalar0(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_391])]) ).
fof(f1109,plain,
( ! [X28,X29,X30] :
( sdtasdt0(sdtpldt0(X28,X29),sdtpldt0(X30,xC)) = sdtpldt0(sdtpldt0(sdtasdt0(X28,X30),sdtasdt0(X28,xC)),sdtpldt0(sdtasdt0(X29,X30),sdtasdt0(X29,xC)))
| ~ aScalar0(X30)
| ~ aScalar0(X29)
| ~ aScalar0(X28) )
| ~ spl5_10
| ~ spl5_108 ),
inference(resolution,[],[f1093,f283]) ).
fof(f8101,plain,
( spl5_390
| ~ spl5_16
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1108,f1092,f311,f8099]) ).
fof(f8099,plain,
( spl5_390
<=> ! [X25,X27,X26] :
( sdtasdt0(sdtpldt0(X25,X26),sdtpldt0(X27,xB)) = sdtpldt0(sdtpldt0(sdtasdt0(X25,X27),sdtasdt0(X25,xB)),sdtpldt0(sdtasdt0(X26,X27),sdtasdt0(X26,xB)))
| ~ aScalar0(X27)
| ~ aScalar0(X26)
| ~ aScalar0(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_390])]) ).
fof(f1108,plain,
( ! [X26,X27,X25] :
( sdtasdt0(sdtpldt0(X25,X26),sdtpldt0(X27,xB)) = sdtpldt0(sdtpldt0(sdtasdt0(X25,X27),sdtasdt0(X25,xB)),sdtpldt0(sdtasdt0(X26,X27),sdtasdt0(X26,xB)))
| ~ aScalar0(X27)
| ~ aScalar0(X26)
| ~ aScalar0(X25) )
| ~ spl5_16
| ~ spl5_108 ),
inference(resolution,[],[f1093,f313]) ).
fof(f8097,plain,
( spl5_389
| ~ spl5_17
| ~ spl5_108 ),
inference(avatar_split_clause,[],[f1107,f1092,f316,f8095]) ).
fof(f8095,plain,
( spl5_389
<=> ! [X24,X22,X23] :
( sdtasdt0(sdtpldt0(X22,X23),sdtpldt0(X24,xA)) = sdtpldt0(sdtpldt0(sdtasdt0(X22,X24),sdtasdt0(X22,xA)),sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,xA)))
| ~ aScalar0(X24)
| ~ aScalar0(X23)
| ~ aScalar0(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_389])]) ).
fof(f1107,plain,
( ! [X24,X22,X23] :
( sdtasdt0(sdtpldt0(X22,X23),sdtpldt0(X24,xA)) = sdtpldt0(sdtpldt0(sdtasdt0(X22,X24),sdtasdt0(X22,xA)),sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,xA)))
| ~ aScalar0(X24)
| ~ aScalar0(X23)
| ~ aScalar0(X22) )
| ~ spl5_17
| ~ spl5_108 ),
inference(resolution,[],[f1093,f318]) ).
fof(f8090,plain,
( ~ spl5_4
| spl5_388
| ~ spl5_24
| ~ spl5_107 ),
inference(avatar_split_clause,[],[f1088,f1084,f363,f8088,f251]) ).
fof(f251,plain,
( spl5_4
<=> aVector0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f8088,plain,
( spl5_388
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,xs),sdtasasdt0(X0,xs)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(xs,xs))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_388])]) ).
fof(f363,plain,
( spl5_24
<=> aDimensionOf0(xs) = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f1084,plain,
( spl5_107
<=> ! [X0,X1] :
( ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_107])]) ).
fof(f1088,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,xs),sdtasasdt0(X0,xs)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(xs,xs)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_24
| ~ spl5_107 ),
inference(superposition,[],[f1085,f365]) ).
fof(f365,plain,
( aDimensionOf0(xs) = aDimensionOf0(xt)
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f1085,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_107 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f8086,plain,
( ~ spl5_4
| ~ spl5_386
| spl5_387
| ~ spl5_24
| ~ spl5_107 ),
inference(avatar_split_clause,[],[f1087,f1084,f363,f8084,f8080,f251]) ).
fof(f8080,plain,
( spl5_386
<=> iLess0(aDimensionOf0(xt),aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_386])]) ).
fof(f8084,plain,
( spl5_387
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,X0),sdtasasdt0(xs,X0)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(X0,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_387])]) ).
fof(f1087,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,X0),sdtasasdt0(xs,X0)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(X0,X0)))
| ~ iLess0(aDimensionOf0(xt),aDimensionOf0(xt))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_107 ),
inference(superposition,[],[f1085,f365]) ).
fof(f8067,plain,
( spl5_385
| ~ spl5_58
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1153,f580,f531,f8064]) ).
fof(f8064,plain,
( spl5_385
<=> xG = sdtpldt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_385])]) ).
fof(f1153,plain,
( xG = sdtpldt0(sz0z00,xG)
| ~ spl5_58
| ~ spl5_69 ),
inference(resolution,[],[f582,f532]) ).
fof(f8062,plain,
( ~ spl5_4
| spl5_111
| spl5_384
| ~ spl5_22
| ~ spl5_24
| ~ spl5_47
| ~ spl5_109 ),
inference(avatar_split_clause,[],[f1130,f1120,f476,f363,f341,f8060,f1210,f251]) ).
fof(f1210,plain,
( spl5_111
<=> sz00 = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_111])]) ).
fof(f8060,plain,
( spl5_384
<=> ! [X0] :
( sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xA))
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_384])]) ).
fof(f341,plain,
( spl5_22
<=> xp = sziznziztdt0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f1120,plain,
( spl5_109
<=> ! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_109])]) ).
fof(f1130,plain,
( ! [X0] :
( sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xp),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xA))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_22
| ~ spl5_24
| ~ spl5_47
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1129,f343]) ).
fof(f343,plain,
( xp = sziznziztdt0(xs)
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f1129,plain,
( ! [X0] :
( sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xA))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_24
| ~ spl5_47
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1124,f478]) ).
fof(f1124,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| sdtasasdt0(X0,xs) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xs)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xs,aDimensionOf0(xt))))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_24
| ~ spl5_109 ),
inference(superposition,[],[f1121,f365]) ).
fof(f1121,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_109 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f8046,plain,
( ~ spl5_4
| spl5_383
| ~ spl5_22
| ~ spl5_24
| ~ spl5_47
| ~ spl5_109 ),
inference(avatar_split_clause,[],[f1128,f1120,f476,f363,f341,f8044,f251]) ).
fof(f8044,plain,
( spl5_383
<=> ! [X0] :
( sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(xA,sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_383])]) ).
fof(f1128,plain,
( ! [X0] :
( sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X0)),sdtasdt0(xA,sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_22
| ~ spl5_24
| ~ spl5_47
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1127,f343]) ).
fof(f1127,plain,
( ! [X0] :
( sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(X0)),sdtasdt0(xA,sdtlbdtrb0(X0,aDimensionOf0(X0))))
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_47
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1123,f478]) ).
fof(f1123,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| sdtasasdt0(xs,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_109 ),
inference(superposition,[],[f1121,f365]) ).
fof(f7996,plain,
( spl5_382
| ~ spl5_67
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1008,f984,f572,f7994]) ).
fof(f7994,plain,
( spl5_382
<=> ! [X13,X14,X16,X15] :
( sdtasdt0(sdtpldt0(X13,X14),sdtlbdtrb0(X15,X16)) = sdtpldt0(sdtasdt0(X13,sdtlbdtrb0(X15,X16)),sdtasdt0(X14,sdtlbdtrb0(X15,X16)))
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aNaturalNumber0(X16)
| ~ aVector0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_382])]) ).
fof(f984,plain,
( spl5_101
<=> ! [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,[spl5_101])]) ).
fof(f1008,plain,
( ! [X16,X14,X15,X13] :
( sdtasdt0(sdtpldt0(X13,X14),sdtlbdtrb0(X15,X16)) = sdtpldt0(sdtasdt0(X13,sdtlbdtrb0(X15,X16)),sdtasdt0(X14,sdtlbdtrb0(X15,X16)))
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aNaturalNumber0(X16)
| ~ aVector0(X15) )
| ~ spl5_67
| ~ spl5_101 ),
inference(resolution,[],[f985,f573]) ).
fof(f985,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_101 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f7992,plain,
( spl5_381
| ~ spl5_70
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1006,f984,f585,f7990]) ).
fof(f7990,plain,
( spl5_381
<=> ! [X9,X7,X6,X8] :
( sdtasdt0(sdtpldt0(X6,X7),sdtasdt0(X8,X9)) = sdtpldt0(sdtasdt0(X6,sdtasdt0(X8,X9)),sdtasdt0(X7,sdtasdt0(X8,X9)))
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X9)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_381])]) ).
fof(f1006,plain,
( ! [X8,X6,X9,X7] :
( sdtasdt0(sdtpldt0(X6,X7),sdtasdt0(X8,X9)) = sdtpldt0(sdtasdt0(X6,sdtasdt0(X8,X9)),sdtasdt0(X7,sdtasdt0(X8,X9)))
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X9)
| ~ aScalar0(X8) )
| ~ spl5_70
| ~ spl5_101 ),
inference(resolution,[],[f985,f586]) ).
fof(f7988,plain,
( spl5_380
| ~ spl5_68
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1005,f984,f576,f7986]) ).
fof(f7986,plain,
( spl5_380
<=> ! [X3,X4,X5,X2] :
( sdtasdt0(sdtpldt0(X2,X3),sdtpldt0(X4,X5)) = sdtpldt0(sdtasdt0(X2,sdtpldt0(X4,X5)),sdtasdt0(X3,sdtpldt0(X4,X5)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_380])]) ).
fof(f1005,plain,
( ! [X2,X3,X4,X5] :
( sdtasdt0(sdtpldt0(X2,X3),sdtpldt0(X4,X5)) = sdtpldt0(sdtasdt0(X2,sdtpldt0(X4,X5)),sdtasdt0(X3,sdtpldt0(X4,X5)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl5_68
| ~ spl5_101 ),
inference(resolution,[],[f985,f577]) ).
fof(f7971,plain,
( ~ spl5_19
| spl5_379
| ~ spl5_94
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f918,f896,f888,f7969,f326]) ).
fof(f7969,plain,
( spl5_379
<=> ! [X9,X11,X10] :
( sdtlseqdt0(X9,sdtpldt0(X10,X11))
| ~ aScalar0(X10)
| ~ aScalar0(X11)
| ~ sdtlseqdt0(sz0z00,X10)
| ~ sdtlseqdt0(sz0z00,X11)
| ~ aScalar0(X9)
| ~ aScalar0(sdtpldt0(X10,X11))
| ~ sdtlseqdt0(X9,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_379])]) ).
fof(f888,plain,
( spl5_94
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_94])]) ).
fof(f918,plain,
( ! [X10,X11,X9] :
( sdtlseqdt0(X9,sdtpldt0(X10,X11))
| ~ sdtlseqdt0(X9,sz0z00)
| ~ aScalar0(sdtpldt0(X10,X11))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X9)
| ~ sdtlseqdt0(sz0z00,X11)
| ~ sdtlseqdt0(sz0z00,X10)
| ~ aScalar0(X11)
| ~ aScalar0(X10) )
| ~ spl5_94
| ~ spl5_96 ),
inference(resolution,[],[f897,f889]) ).
fof(f889,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_94 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f7944,plain,
( ~ spl5_19
| spl5_378
| ~ spl5_95
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f917,f896,f892,f7942,f326]) ).
fof(f7942,plain,
( spl5_378
<=> ! [X6,X8,X7] :
( sdtlseqdt0(X6,sdtasdt0(X7,X8))
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(sz0z00,X7)
| ~ sdtlseqdt0(sz0z00,X8)
| ~ aScalar0(X6)
| ~ aScalar0(sdtasdt0(X7,X8))
| ~ sdtlseqdt0(X6,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_378])]) ).
fof(f892,plain,
( spl5_95
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f917,plain,
( ! [X8,X6,X7] :
( sdtlseqdt0(X6,sdtasdt0(X7,X8))
| ~ sdtlseqdt0(X6,sz0z00)
| ~ aScalar0(sdtasdt0(X7,X8))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X6)
| ~ sdtlseqdt0(sz0z00,X8)
| ~ sdtlseqdt0(sz0z00,X7)
| ~ aScalar0(X8)
| ~ aScalar0(X7) )
| ~ spl5_95
| ~ spl5_96 ),
inference(resolution,[],[f897,f893]) ).
fof(f893,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_95 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f7927,plain,
( ~ spl5_19
| spl5_377
| ~ spl5_87
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f903,f892,f698,f7925,f326]) ).
fof(f7925,plain,
( spl5_377
<=> ! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X1,X0))
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_377])]) ).
fof(f903,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtasdt0(X1,X0)
| ~ sdtlseqdt0(sdtasdt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X1,X0)) )
| ~ spl5_87
| ~ spl5_95 ),
inference(resolution,[],[f893,f699]) ).
fof(f7919,plain,
( ~ spl5_19
| spl5_376
| ~ spl5_87
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f902,f888,f698,f7917,f326]) ).
fof(f7917,plain,
( spl5_376
<=> ! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X1,X0))
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_376])]) ).
fof(f902,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sz0z00 = sdtpldt0(X1,X0)
| ~ sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(X1,X0)) )
| ~ spl5_87
| ~ spl5_94 ),
inference(resolution,[],[f889,f699]) ).
fof(f7845,plain,
( spl5_375
| ~ spl5_109 ),
inference(avatar_split_clause,[],[f1126,f1120,f7843]) ).
fof(f7843,plain,
( spl5_375
<=> ! [X0] :
( sz00 = aDimensionOf0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_375])]) ).
fof(f1126,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0) )
| ~ spl5_109 ),
inference(duplicate_literal_removal,[],[f1125]) ).
fof(f1125,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| sdtasasdt0(X0,X0) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0))))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_109 ),
inference(equality_resolution,[],[f1121]) ).
fof(f7841,plain,
( spl5_374
| ~ spl5_67
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f991,f980,f572,f7839]) ).
fof(f7839,plain,
( spl5_374
<=> ! [X13,X14,X16,X15] :
( sdtasdt0(X13,sdtpldt0(X14,sdtlbdtrb0(X15,X16))) = sdtpldt0(sdtasdt0(X13,X14),sdtasdt0(X13,sdtlbdtrb0(X15,X16)))
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aNaturalNumber0(X16)
| ~ aVector0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_374])]) ).
fof(f980,plain,
( spl5_100
<=> ! [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,[spl5_100])]) ).
fof(f991,plain,
( ! [X16,X14,X15,X13] :
( sdtasdt0(X13,sdtpldt0(X14,sdtlbdtrb0(X15,X16))) = sdtpldt0(sdtasdt0(X13,X14),sdtasdt0(X13,sdtlbdtrb0(X15,X16)))
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aNaturalNumber0(X16)
| ~ aVector0(X15) )
| ~ spl5_67
| ~ spl5_100 ),
inference(resolution,[],[f981,f573]) ).
fof(f981,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_100 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f7837,plain,
( spl5_373
| ~ spl5_70
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f989,f980,f585,f7835]) ).
fof(f7835,plain,
( spl5_373
<=> ! [X9,X7,X6,X8] :
( sdtasdt0(X6,sdtpldt0(X7,sdtasdt0(X8,X9))) = sdtpldt0(sdtasdt0(X6,X7),sdtasdt0(X6,sdtasdt0(X8,X9)))
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X9)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_373])]) ).
fof(f989,plain,
( ! [X8,X6,X9,X7] :
( sdtasdt0(X6,sdtpldt0(X7,sdtasdt0(X8,X9))) = sdtpldt0(sdtasdt0(X6,X7),sdtasdt0(X6,sdtasdt0(X8,X9)))
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X9)
| ~ aScalar0(X8) )
| ~ spl5_70
| ~ spl5_100 ),
inference(resolution,[],[f981,f586]) ).
fof(f7833,plain,
( spl5_372
| ~ spl5_68
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f988,f980,f576,f7831]) ).
fof(f7831,plain,
( spl5_372
<=> ! [X3,X4,X5,X2] :
( sdtasdt0(X2,sdtpldt0(X3,sdtpldt0(X4,X5))) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtpldt0(X4,X5)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_372])]) ).
fof(f988,plain,
( ! [X2,X3,X4,X5] :
( sdtasdt0(X2,sdtpldt0(X3,sdtpldt0(X4,X5))) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtpldt0(X4,X5)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl5_68
| ~ spl5_100 ),
inference(resolution,[],[f981,f577]) ).
fof(f7758,plain,
( spl5_371
| ~ spl5_23
| ~ spl5_347 ),
inference(avatar_split_clause,[],[f7363,f6953,f346,f7755]) ).
fof(f7755,plain,
( spl5_371
<=> sP2(sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_371])]) ).
fof(f6953,plain,
( spl5_347
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_347])]) ).
fof(f7363,plain,
( sP2(sdtasdt0(xC,xD))
| ~ spl5_23
| ~ spl5_347 ),
inference(resolution,[],[f6954,f347]) ).
fof(f6954,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ spl5_347 ),
inference(avatar_component_clause,[],[f6953]) ).
fof(f7732,plain,
( spl5_370
| ~ spl5_67
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f965,f930,f572,f7730]) ).
fof(f7730,plain,
( spl5_370
<=> ! [X13,X14,X16,X15] :
( sdtasdt0(sdtasdt0(X13,X14),sdtlbdtrb0(X15,X16)) = sdtasdt0(X13,sdtasdt0(X14,sdtlbdtrb0(X15,X16)))
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aNaturalNumber0(X16)
| ~ aVector0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_370])]) ).
fof(f930,plain,
( spl5_98
<=> ! [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,[spl5_98])]) ).
fof(f965,plain,
( ! [X16,X14,X15,X13] :
( sdtasdt0(sdtasdt0(X13,X14),sdtlbdtrb0(X15,X16)) = sdtasdt0(X13,sdtasdt0(X14,sdtlbdtrb0(X15,X16)))
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aNaturalNumber0(X16)
| ~ aVector0(X15) )
| ~ spl5_67
| ~ spl5_98 ),
inference(resolution,[],[f931,f573]) ).
fof(f931,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_98 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f7728,plain,
( spl5_369
| ~ spl5_70
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f963,f930,f585,f7726]) ).
fof(f7726,plain,
( spl5_369
<=> ! [X9,X7,X6,X8] :
( sdtasdt0(sdtasdt0(X6,X7),sdtasdt0(X8,X9)) = sdtasdt0(X6,sdtasdt0(X7,sdtasdt0(X8,X9)))
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X9)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_369])]) ).
fof(f963,plain,
( ! [X8,X6,X9,X7] :
( sdtasdt0(sdtasdt0(X6,X7),sdtasdt0(X8,X9)) = sdtasdt0(X6,sdtasdt0(X7,sdtasdt0(X8,X9)))
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X9)
| ~ aScalar0(X8) )
| ~ spl5_70
| ~ spl5_98 ),
inference(resolution,[],[f931,f586]) ).
fof(f7724,plain,
( spl5_368
| ~ spl5_68
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f962,f930,f576,f7722]) ).
fof(f7722,plain,
( spl5_368
<=> ! [X3,X4,X5,X2] :
( sdtasdt0(sdtasdt0(X2,X3),sdtpldt0(X4,X5)) = sdtasdt0(X2,sdtasdt0(X3,sdtpldt0(X4,X5)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_368])]) ).
fof(f962,plain,
( ! [X2,X3,X4,X5] :
( sdtasdt0(sdtasdt0(X2,X3),sdtpldt0(X4,X5)) = sdtasdt0(X2,sdtasdt0(X3,sdtpldt0(X4,X5)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl5_68
| ~ spl5_98 ),
inference(resolution,[],[f931,f577]) ).
fof(f7720,plain,
( spl5_367
| ~ spl5_67
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f948,f926,f572,f7718]) ).
fof(f7718,plain,
( spl5_367
<=> ! [X13,X14,X16,X15] :
( sdtpldt0(sdtpldt0(X13,X14),sdtlbdtrb0(X15,X16)) = sdtpldt0(X13,sdtpldt0(X14,sdtlbdtrb0(X15,X16)))
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aNaturalNumber0(X16)
| ~ aVector0(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_367])]) ).
fof(f926,plain,
( spl5_97
<=> ! [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,[spl5_97])]) ).
fof(f948,plain,
( ! [X16,X14,X15,X13] :
( sdtpldt0(sdtpldt0(X13,X14),sdtlbdtrb0(X15,X16)) = sdtpldt0(X13,sdtpldt0(X14,sdtlbdtrb0(X15,X16)))
| ~ aScalar0(X14)
| ~ aScalar0(X13)
| ~ aNaturalNumber0(X16)
| ~ aVector0(X15) )
| ~ spl5_67
| ~ spl5_97 ),
inference(resolution,[],[f927,f573]) ).
fof(f927,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_97 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f7716,plain,
( spl5_366
| ~ spl5_70
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f946,f926,f585,f7714]) ).
fof(f7714,plain,
( spl5_366
<=> ! [X9,X7,X6,X8] :
( sdtpldt0(sdtpldt0(X6,X7),sdtasdt0(X8,X9)) = sdtpldt0(X6,sdtpldt0(X7,sdtasdt0(X8,X9)))
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X9)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_366])]) ).
fof(f946,plain,
( ! [X8,X6,X9,X7] :
( sdtpldt0(sdtpldt0(X6,X7),sdtasdt0(X8,X9)) = sdtpldt0(X6,sdtpldt0(X7,sdtasdt0(X8,X9)))
| ~ aScalar0(X7)
| ~ aScalar0(X6)
| ~ aScalar0(X9)
| ~ aScalar0(X8) )
| ~ spl5_70
| ~ spl5_97 ),
inference(resolution,[],[f927,f586]) ).
fof(f7712,plain,
( spl5_365
| ~ spl5_68
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f945,f926,f576,f7710]) ).
fof(f7710,plain,
( spl5_365
<=> ! [X3,X4,X5,X2] :
( sdtpldt0(sdtpldt0(X2,X3),sdtpldt0(X4,X5)) = sdtpldt0(X2,sdtpldt0(X3,sdtpldt0(X4,X5)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X5)
| ~ aScalar0(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_365])]) ).
fof(f945,plain,
( ! [X2,X3,X4,X5] :
( sdtpldt0(sdtpldt0(X2,X3),sdtpldt0(X4,X5)) = sdtpldt0(X2,sdtpldt0(X3,sdtpldt0(X4,X5)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X5)
| ~ aScalar0(X4) )
| ~ spl5_68
| ~ spl5_97 ),
inference(resolution,[],[f927,f577]) ).
fof(f7686,plain,
( spl5_364
| ~ spl5_41
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1007,f984,f446,f7684]) ).
fof(f7684,plain,
( spl5_364
<=> ! [X11,X12,X10] :
( sdtasdt0(sdtpldt0(X10,X11),smndt0(X12)) = sdtpldt0(sdtasdt0(X10,smndt0(X12)),sdtasdt0(X11,smndt0(X12)))
| ~ aScalar0(X11)
| ~ aScalar0(X10)
| ~ aScalar0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_364])]) ).
fof(f1007,plain,
( ! [X10,X11,X12] :
( sdtasdt0(sdtpldt0(X10,X11),smndt0(X12)) = sdtpldt0(sdtasdt0(X10,smndt0(X12)),sdtasdt0(X11,smndt0(X12)))
| ~ aScalar0(X11)
| ~ aScalar0(X10)
| ~ aScalar0(X12) )
| ~ spl5_41
| ~ spl5_101 ),
inference(resolution,[],[f985,f447]) ).
fof(f7674,plain,
( spl5_363
| ~ spl5_23
| ~ spl5_346 ),
inference(avatar_split_clause,[],[f7042,f6949,f346,f7671]) ).
fof(f7671,plain,
( spl5_363
<=> sP2(sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_363])]) ).
fof(f6949,plain,
( spl5_346
<=> aScalar0(sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_346])]) ).
fof(f7042,plain,
( sP2(sdtasdt0(xE,xE))
| ~ spl5_23
| ~ spl5_346 ),
inference(resolution,[],[f6950,f347]) ).
fof(f6950,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ spl5_346 ),
inference(avatar_component_clause,[],[f6949]) ).
fof(f7669,plain,
( spl5_362
| ~ spl5_107 ),
inference(avatar_split_clause,[],[f1090,f1084,f7667]) ).
fof(f7667,plain,
( spl5_362
<=> ! [X0] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_362])]) ).
fof(f1090,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(X0) )
| ~ spl5_107 ),
inference(duplicate_literal_removal,[],[f1089]) ).
fof(f1089,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X0,X0)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_107 ),
inference(equality_resolution,[],[f1085]) ).
fof(f7653,plain,
( ~ spl5_12
| ~ spl5_11
| spl5_361
| ~ spl5_33
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1078,f1060,f408,f7651,f286,f291]) ).
fof(f7651,plain,
( spl5_361
<=> ! [X13,X12] :
( sdtlseqdt0(sdtasdt0(X12,X13),xN)
| ~ aScalar0(X12)
| ~ aScalar0(X13)
| ~ sdtlseqdt0(X12,xR)
| ~ sdtlseqdt0(sz0z00,X13)
| ~ sdtlseqdt0(X13,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_361])]) ).
fof(f1078,plain,
( ! [X12,X13] :
( sdtlseqdt0(sdtasdt0(X12,X13),xN)
| ~ sdtlseqdt0(X13,xS)
| ~ sdtlseqdt0(sz0z00,X13)
| ~ sdtlseqdt0(X12,xR)
| ~ aScalar0(xS)
| ~ aScalar0(X13)
| ~ aScalar0(xR)
| ~ aScalar0(X12) )
| ~ spl5_33
| ~ spl5_106 ),
inference(superposition,[],[f1061,f410]) ).
fof(f7637,plain,
( ~ spl5_15
| ~ spl5_7
| spl5_360
| ~ spl5_35
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1077,f1060,f418,f7635,f266,f306]) ).
fof(f7635,plain,
( spl5_360
<=> ! [X11,X10] :
( sdtlseqdt0(sdtasdt0(X10,X11),xP)
| ~ aScalar0(X10)
| ~ aScalar0(X11)
| ~ sdtlseqdt0(X10,xE)
| ~ sdtlseqdt0(sz0z00,X11)
| ~ sdtlseqdt0(X11,xH) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_360])]) ).
fof(f1077,plain,
( ! [X10,X11] :
( sdtlseqdt0(sdtasdt0(X10,X11),xP)
| ~ sdtlseqdt0(X11,xH)
| ~ sdtlseqdt0(sz0z00,X11)
| ~ sdtlseqdt0(X10,xE)
| ~ aScalar0(xH)
| ~ aScalar0(X11)
| ~ aScalar0(xE)
| ~ aScalar0(X10) )
| ~ spl5_35
| ~ spl5_106 ),
inference(superposition,[],[f1061,f420]) ).
fof(f7628,plain,
( ~ spl5_347
| ~ spl5_346
| ~ spl5_358
| spl5_359
| ~ spl5_53
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f869,f698,f509,f7625,f7621,f6949,f6953]) ).
fof(f7621,plain,
( spl5_358
<=> sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_358])]) ).
fof(f7625,plain,
( spl5_359
<=> sdtasdt0(xE,xE) = sdtasdt0(xC,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_359])]) ).
fof(f509,plain,
( spl5_53
<=> sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f869,plain,
( sdtasdt0(xE,xE) = sdtasdt0(xC,xD)
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ spl5_53
| ~ spl5_87 ),
inference(resolution,[],[f699,f511]) ).
fof(f511,plain,
( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ spl5_53 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f7362,plain,
( ~ spl5_10
| ~ spl5_9
| ~ spl5_70
| spl5_347 ),
inference(avatar_split_clause,[],[f6962,f6953,f585,f276,f281]) ).
fof(f6962,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xC)
| ~ spl5_70
| spl5_347 ),
inference(resolution,[],[f6955,f586]) ).
fof(f6955,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl5_347 ),
inference(avatar_component_clause,[],[f6953]) ).
fof(f7349,plain,
( ~ spl5_10
| ~ spl5_6
| spl5_357
| ~ spl5_32
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1076,f1060,f403,f7347,f261,f281]) ).
fof(f7347,plain,
( spl5_357
<=> ! [X9,X8] :
( sdtlseqdt0(sdtasdt0(X8,X9),xR)
| ~ aScalar0(X8)
| ~ aScalar0(X9)
| ~ sdtlseqdt0(X8,xC)
| ~ sdtlseqdt0(sz0z00,X9)
| ~ sdtlseqdt0(X9,xG) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_357])]) ).
fof(f1076,plain,
( ! [X8,X9] :
( sdtlseqdt0(sdtasdt0(X8,X9),xR)
| ~ sdtlseqdt0(X9,xG)
| ~ sdtlseqdt0(sz0z00,X9)
| ~ sdtlseqdt0(X8,xC)
| ~ aScalar0(xG)
| ~ aScalar0(X9)
| ~ aScalar0(xC)
| ~ aScalar0(X8) )
| ~ spl5_32
| ~ spl5_106 ),
inference(superposition,[],[f1061,f405]) ).
fof(f7333,plain,
( ~ spl5_8
| ~ spl5_9
| spl5_356
| ~ spl5_31
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1075,f1060,f398,f7331,f276,f271]) ).
fof(f7331,plain,
( spl5_356
<=> ! [X6,X7] :
( sdtlseqdt0(sdtasdt0(X6,X7),xS)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ sdtlseqdt0(X6,xF)
| ~ sdtlseqdt0(sz0z00,X7)
| ~ sdtlseqdt0(X7,xD) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_356])]) ).
fof(f1075,plain,
( ! [X6,X7] :
( sdtlseqdt0(sdtasdt0(X6,X7),xS)
| ~ sdtlseqdt0(X7,xD)
| ~ sdtlseqdt0(sz0z00,X7)
| ~ sdtlseqdt0(X6,xF)
| ~ aScalar0(xD)
| ~ aScalar0(X7)
| ~ aScalar0(xF)
| ~ aScalar0(X6) )
| ~ spl5_31
| ~ spl5_106 ),
inference(superposition,[],[f1061,f400]) ).
fof(f7317,plain,
( ~ spl5_17
| ~ spl5_16
| spl5_355
| ~ spl5_27
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1074,f1060,f378,f7315,f311,f316]) ).
fof(f7315,plain,
( spl5_355
<=> ! [X4,X5] :
( sdtlseqdt0(sdtasdt0(X4,X5),xH)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ sdtlseqdt0(X4,xA)
| ~ sdtlseqdt0(sz0z00,X5)
| ~ sdtlseqdt0(X5,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_355])]) ).
fof(f1074,plain,
( ! [X4,X5] :
( sdtlseqdt0(sdtasdt0(X4,X5),xH)
| ~ sdtlseqdt0(X5,xB)
| ~ sdtlseqdt0(sz0z00,X5)
| ~ sdtlseqdt0(X4,xA)
| ~ aScalar0(xB)
| ~ aScalar0(X5)
| ~ aScalar0(xA)
| ~ aScalar0(X4) )
| ~ spl5_27
| ~ spl5_106 ),
inference(superposition,[],[f1061,f380]) ).
fof(f7297,plain,
( ~ spl5_12
| ~ spl5_11
| ~ spl5_232
| spl5_354
| ~ spl5_33
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1071,f1060,f408,f7295,f4422,f286,f291]) ).
fof(f4422,plain,
( spl5_232
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_232])]) ).
fof(f7295,plain,
( spl5_354
<=> ! [X13,X12] :
( sdtlseqdt0(xN,sdtasdt0(X12,X13))
| ~ aScalar0(X12)
| ~ aScalar0(X13)
| ~ sdtlseqdt0(xR,X12)
| ~ sdtlseqdt0(xS,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_354])]) ).
fof(f1071,plain,
( ! [X12,X13] :
( sdtlseqdt0(xN,sdtasdt0(X12,X13))
| ~ sdtlseqdt0(xS,X13)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xR,X12)
| ~ aScalar0(X13)
| ~ aScalar0(xS)
| ~ aScalar0(X12)
| ~ aScalar0(xR) )
| ~ spl5_33
| ~ spl5_106 ),
inference(superposition,[],[f1061,f410]) ).
fof(f7041,plain,
( ~ spl5_15
| ~ spl5_70
| spl5_346 ),
inference(avatar_split_clause,[],[f6961,f6949,f585,f306]) ).
fof(f6961,plain,
( ~ aScalar0(xE)
| ~ spl5_70
| spl5_346 ),
inference(duplicate_literal_removal,[],[f6960]) ).
fof(f6960,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| ~ spl5_70
| spl5_346 ),
inference(resolution,[],[f6951,f586]) ).
fof(f6951,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| spl5_346 ),
inference(avatar_component_clause,[],[f6949]) ).
fof(f7040,plain,
( ~ spl5_10
| ~ spl5_6
| ~ spl5_116
| spl5_353
| ~ spl5_32
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1069,f1060,f403,f7038,f1246,f261,f281]) ).
fof(f1246,plain,
( spl5_116
<=> sdtlseqdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_116])]) ).
fof(f7038,plain,
( spl5_353
<=> ! [X9,X8] :
( sdtlseqdt0(xR,sdtasdt0(X8,X9))
| ~ aScalar0(X8)
| ~ aScalar0(X9)
| ~ sdtlseqdt0(xC,X8)
| ~ sdtlseqdt0(xG,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_353])]) ).
fof(f1069,plain,
( ! [X8,X9] :
( sdtlseqdt0(xR,sdtasdt0(X8,X9))
| ~ sdtlseqdt0(xG,X9)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xC,X8)
| ~ aScalar0(X9)
| ~ aScalar0(xG)
| ~ aScalar0(X8)
| ~ aScalar0(xC) )
| ~ spl5_32
| ~ spl5_106 ),
inference(superposition,[],[f1061,f405]) ).
fof(f7022,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_113
| spl5_352
| ~ spl5_31
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1068,f1060,f398,f7020,f1225,f276,f271]) ).
fof(f1225,plain,
( spl5_113
<=> sdtlseqdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_113])]) ).
fof(f7020,plain,
( spl5_352
<=> ! [X6,X7] :
( sdtlseqdt0(xS,sdtasdt0(X6,X7))
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ sdtlseqdt0(xF,X6)
| ~ sdtlseqdt0(xD,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_352])]) ).
fof(f1068,plain,
( ! [X6,X7] :
( sdtlseqdt0(xS,sdtasdt0(X6,X7))
| ~ sdtlseqdt0(xD,X7)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xF,X6)
| ~ aScalar0(X7)
| ~ aScalar0(xD)
| ~ aScalar0(X6)
| ~ aScalar0(xF) )
| ~ spl5_31
| ~ spl5_106 ),
inference(superposition,[],[f1061,f400]) ).
fof(f6998,plain,
( spl5_351
| ~ spl5_41
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f990,f980,f446,f6996]) ).
fof(f6996,plain,
( spl5_351
<=> ! [X11,X12,X10] :
( sdtasdt0(X10,sdtpldt0(X11,smndt0(X12))) = sdtpldt0(sdtasdt0(X10,X11),sdtasdt0(X10,smndt0(X12)))
| ~ aScalar0(X11)
| ~ aScalar0(X10)
| ~ aScalar0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_351])]) ).
fof(f990,plain,
( ! [X10,X11,X12] :
( sdtasdt0(X10,sdtpldt0(X11,smndt0(X12))) = sdtpldt0(sdtasdt0(X10,X11),sdtasdt0(X10,smndt0(X12)))
| ~ aScalar0(X11)
| ~ aScalar0(X10)
| ~ aScalar0(X12) )
| ~ spl5_41
| ~ spl5_100 ),
inference(resolution,[],[f981,f447]) ).
fof(f6982,plain,
( ~ spl5_17
| spl5_350
| ~ spl5_28
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1080,f1060,f383,f6980,f316]) ).
fof(f6980,plain,
( spl5_350
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_350])]) ).
fof(f1080,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xA)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_28
| ~ spl5_106 ),
inference(duplicate_literal_removal,[],[f1072]) ).
fof(f1072,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xA)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(xA)
| ~ aScalar0(X0) )
| ~ spl5_28
| ~ spl5_106 ),
inference(superposition,[],[f1061,f385]) ).
fof(f6966,plain,
( ~ spl5_16
| spl5_349
| ~ spl5_26
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1079,f1060,f373,f6964,f311]) ).
fof(f6964,plain,
( spl5_349
<=> ! [X2,X3] :
( sdtlseqdt0(sdtasdt0(X2,X3),xG)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X2,xB)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_349])]) ).
fof(f1079,plain,
( ! [X2,X3] :
( sdtlseqdt0(sdtasdt0(X2,X3),xG)
| ~ sdtlseqdt0(X3,xB)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X2,xB)
| ~ aScalar0(xB)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_26
| ~ spl5_106 ),
inference(duplicate_literal_removal,[],[f1073]) ).
fof(f1073,plain,
( ! [X2,X3] :
( sdtlseqdt0(sdtasdt0(X2,X3),xG)
| ~ sdtlseqdt0(X3,xB)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X2,xB)
| ~ aScalar0(xB)
| ~ aScalar0(X3)
| ~ aScalar0(xB)
| ~ aScalar0(X2) )
| ~ spl5_26
| ~ spl5_106 ),
inference(superposition,[],[f1061,f375]) ).
fof(f6959,plain,
( ~ spl5_346
| ~ spl5_347
| spl5_348
| ~ spl5_53
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f914,f896,f509,f6957,f6953,f6949]) ).
fof(f6957,plain,
( spl5_348
<=> ! [X1] :
( sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,sdtasdt0(xE,xE)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_348])]) ).
fof(f914,plain,
( ! [X1] :
( sdtlseqdt0(X1,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(X1,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X1) )
| ~ spl5_53
| ~ spl5_96 ),
inference(resolution,[],[f897,f511]) ).
fof(f6819,plain,
( spl5_345
| ~ spl5_57
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1152,f580,f527,f6816]) ).
fof(f6816,plain,
( spl5_345
<=> xG = sdtpldt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_345])]) ).
fof(f1152,plain,
( xG = sdtpldt0(xG,sz0z00)
| ~ spl5_57
| ~ spl5_69 ),
inference(resolution,[],[f582,f528]) ).
fof(f6776,plain,
( spl5_344
| ~ spl5_41
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f964,f930,f446,f6774]) ).
fof(f6774,plain,
( spl5_344
<=> ! [X11,X12,X10] :
( sdtasdt0(sdtasdt0(X10,X11),smndt0(X12)) = sdtasdt0(X10,sdtasdt0(X11,smndt0(X12)))
| ~ aScalar0(X11)
| ~ aScalar0(X10)
| ~ aScalar0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_344])]) ).
fof(f964,plain,
( ! [X10,X11,X12] :
( sdtasdt0(sdtasdt0(X10,X11),smndt0(X12)) = sdtasdt0(X10,sdtasdt0(X11,smndt0(X12)))
| ~ aScalar0(X11)
| ~ aScalar0(X10)
| ~ aScalar0(X12) )
| ~ spl5_41
| ~ spl5_98 ),
inference(resolution,[],[f931,f447]) ).
fof(f6772,plain,
( spl5_343
| ~ spl5_41
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f947,f926,f446,f6770]) ).
fof(f6770,plain,
( spl5_343
<=> ! [X11,X12,X10] :
( sdtpldt0(sdtpldt0(X10,X11),smndt0(X12)) = sdtpldt0(X10,sdtpldt0(X11,smndt0(X12)))
| ~ aScalar0(X11)
| ~ aScalar0(X10)
| ~ aScalar0(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_343])]) ).
fof(f947,plain,
( ! [X10,X11,X12] :
( sdtpldt0(sdtpldt0(X10,X11),smndt0(X12)) = sdtpldt0(X10,sdtpldt0(X11,smndt0(X12)))
| ~ aScalar0(X11)
| ~ aScalar0(X10)
| ~ aScalar0(X12) )
| ~ spl5_41
| ~ spl5_97 ),
inference(resolution,[],[f927,f447]) ).
fof(f6768,plain,
( spl5_342
| ~ spl5_67
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f855,f689,f572,f6766]) ).
fof(f6766,plain,
( spl5_342
<=> ! [X9,X11,X10] :
( smndt0(sdtasdt0(X9,sdtlbdtrb0(X10,X11))) = sdtasdt0(smndt0(X9),sdtlbdtrb0(X10,X11))
| ~ aScalar0(X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_342])]) ).
fof(f689,plain,
( spl5_85
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f855,plain,
( ! [X10,X11,X9] :
( smndt0(sdtasdt0(X9,sdtlbdtrb0(X10,X11))) = sdtasdt0(smndt0(X9),sdtlbdtrb0(X10,X11))
| ~ aScalar0(X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) )
| ~ spl5_67
| ~ spl5_85 ),
inference(resolution,[],[f690,f573]) ).
fof(f690,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) )
| ~ spl5_85 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f6764,plain,
( spl5_341
| ~ spl5_70
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f853,f689,f585,f6762]) ).
fof(f6762,plain,
( spl5_341
<=> ! [X6,X4,X5] :
( smndt0(sdtasdt0(X4,sdtasdt0(X5,X6))) = sdtasdt0(smndt0(X4),sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_341])]) ).
fof(f853,plain,
( ! [X6,X4,X5] :
( smndt0(sdtasdt0(X4,sdtasdt0(X5,X6))) = sdtasdt0(smndt0(X4),sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) )
| ~ spl5_70
| ~ spl5_85 ),
inference(resolution,[],[f690,f586]) ).
fof(f6760,plain,
( spl5_340
| ~ spl5_68
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f852,f689,f576,f6758]) ).
fof(f6758,plain,
( spl5_340
<=> ! [X2,X1,X3] :
( smndt0(sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(smndt0(X1),sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_340])]) ).
fof(f852,plain,
( ! [X2,X3,X1] :
( smndt0(sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(smndt0(X1),sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_85 ),
inference(resolution,[],[f690,f577]) ).
fof(f6756,plain,
( spl5_339
| ~ spl5_67
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f837,f685,f572,f6754]) ).
fof(f6754,plain,
( spl5_339
<=> ! [X9,X11,X10] :
( sdtasdt0(X9,smndt0(sdtlbdtrb0(X10,X11))) = smndt0(sdtasdt0(X9,sdtlbdtrb0(X10,X11)))
| ~ aScalar0(X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_339])]) ).
fof(f685,plain,
( spl5_84
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f837,plain,
( ! [X10,X11,X9] :
( sdtasdt0(X9,smndt0(sdtlbdtrb0(X10,X11))) = smndt0(sdtasdt0(X9,sdtlbdtrb0(X10,X11)))
| ~ aScalar0(X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) )
| ~ spl5_67
| ~ spl5_84 ),
inference(resolution,[],[f686,f573]) ).
fof(f686,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl5_84 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f6752,plain,
( spl5_338
| ~ spl5_70
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f835,f685,f585,f6750]) ).
fof(f6750,plain,
( spl5_338
<=> ! [X6,X4,X5] :
( sdtasdt0(X4,smndt0(sdtasdt0(X5,X6))) = smndt0(sdtasdt0(X4,sdtasdt0(X5,X6)))
| ~ aScalar0(X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_338])]) ).
fof(f835,plain,
( ! [X6,X4,X5] :
( sdtasdt0(X4,smndt0(sdtasdt0(X5,X6))) = smndt0(sdtasdt0(X4,sdtasdt0(X5,X6)))
| ~ aScalar0(X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) )
| ~ spl5_70
| ~ spl5_84 ),
inference(resolution,[],[f686,f586]) ).
fof(f6748,plain,
( spl5_337
| ~ spl5_68
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f834,f685,f576,f6746]) ).
fof(f6746,plain,
( spl5_337
<=> ! [X2,X1,X3] :
( sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))) = smndt0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_337])]) ).
fof(f834,plain,
( ! [X2,X3,X1] :
( sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))) = smndt0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_84 ),
inference(resolution,[],[f686,f577]) ).
fof(f6744,plain,
( spl5_336
| ~ spl5_61
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1149,f551,f543,f6741]) ).
fof(f6741,plain,
( spl5_336
<=> xF = smndt0(smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_336])]) ).
fof(f1149,plain,
( xF = smndt0(smndt0(xF))
| ~ spl5_61
| ~ spl5_62 ),
inference(resolution,[],[f553,f544]) ).
fof(f6739,plain,
( spl5_335
| ~ spl5_67
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f819,f681,f572,f6737]) ).
fof(f6737,plain,
( spl5_335
<=> ! [X9,X11,X10] :
( sdtasdt0(X9,sdtlbdtrb0(X10,X11)) = sdtasdt0(smndt0(X9),smndt0(sdtlbdtrb0(X10,X11)))
| ~ aScalar0(X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_335])]) ).
fof(f681,plain,
( spl5_83
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f819,plain,
( ! [X10,X11,X9] :
( sdtasdt0(X9,sdtlbdtrb0(X10,X11)) = sdtasdt0(smndt0(X9),smndt0(sdtlbdtrb0(X10,X11)))
| ~ aScalar0(X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) )
| ~ spl5_67
| ~ spl5_83 ),
inference(resolution,[],[f682,f573]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) )
| ~ spl5_83 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f6735,plain,
( spl5_334
| ~ spl5_70
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f817,f681,f585,f6733]) ).
fof(f6733,plain,
( spl5_334
<=> ! [X6,X4,X5] :
( sdtasdt0(X4,sdtasdt0(X5,X6)) = sdtasdt0(smndt0(X4),smndt0(sdtasdt0(X5,X6)))
| ~ aScalar0(X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_334])]) ).
fof(f817,plain,
( ! [X6,X4,X5] :
( sdtasdt0(X4,sdtasdt0(X5,X6)) = sdtasdt0(smndt0(X4),smndt0(sdtasdt0(X5,X6)))
| ~ aScalar0(X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) )
| ~ spl5_70
| ~ spl5_83 ),
inference(resolution,[],[f682,f586]) ).
fof(f6731,plain,
( spl5_333
| ~ spl5_68
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f816,f681,f576,f6729]) ).
fof(f6729,plain,
( spl5_333
<=> ! [X2,X1,X3] :
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtasdt0(smndt0(X1),smndt0(sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_333])]) ).
fof(f816,plain,
( ! [X2,X3,X1] :
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtasdt0(smndt0(X1),smndt0(sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_83 ),
inference(resolution,[],[f682,f577]) ).
fof(f6723,plain,
( ~ spl5_4
| spl5_111
| spl5_332
| ~ spl5_22
| ~ spl5_24
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1034,f1022,f363,f341,f6721,f1210,f251]) ).
fof(f6721,plain,
( spl5_332
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_332])]) ).
fof(f1022,plain,
( spl5_102
<=> ! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_102])]) ).
fof(f1034,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_22
| ~ spl5_24
| ~ spl5_102 ),
inference(forward_demodulation,[],[f1030,f343]) ).
fof(f1030,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_24
| ~ spl5_102 ),
inference(superposition,[],[f1023,f365]) ).
fof(f1023,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_102 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f6715,plain,
( ~ spl5_4
| spl5_331
| ~ spl5_22
| ~ spl5_24
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1033,f1022,f363,f341,f6713,f251]) ).
fof(f6713,plain,
( spl5_331
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_331])]) ).
fof(f1033,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_22
| ~ spl5_24
| ~ spl5_102 ),
inference(forward_demodulation,[],[f1029,f343]) ).
fof(f1029,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_102 ),
inference(superposition,[],[f1023,f365]) ).
fof(f6700,plain,
( ~ spl5_19
| spl5_330
| ~ spl5_56
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f916,f896,f523,f6698,f326]) ).
fof(f6698,plain,
( spl5_330
<=> ! [X4,X5] :
( sdtlseqdt0(X4,sdtasdt0(X5,X5))
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(sdtasdt0(X5,X5))
| ~ sdtlseqdt0(X4,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_330])]) ).
fof(f523,plain,
( spl5_56
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
fof(f916,plain,
( ! [X4,X5] :
( sdtlseqdt0(X4,sdtasdt0(X5,X5))
| ~ sdtlseqdt0(X4,sz0z00)
| ~ aScalar0(sdtasdt0(X5,X5))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X4)
| ~ aScalar0(X5) )
| ~ spl5_56
| ~ spl5_96 ),
inference(resolution,[],[f897,f524]) ).
fof(f524,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl5_56 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f6688,plain,
( spl5_329
| ~ spl5_60
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1148,f551,f539,f6685]) ).
fof(f6685,plain,
( spl5_329
<=> sz0z00 = sdtasdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_329])]) ).
fof(f6683,plain,
( ~ spl5_19
| spl5_328
| ~ spl5_55
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f915,f896,f519,f6681,f326]) ).
fof(f6681,plain,
( spl5_328
<=> ! [X2,X3] :
( sdtlseqdt0(X2,sdtasasdt0(X3,X3))
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(sdtasasdt0(X3,X3))
| ~ sdtlseqdt0(X2,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_328])]) ).
fof(f519,plain,
( spl5_55
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
fof(f915,plain,
( ! [X2,X3] :
( sdtlseqdt0(X2,sdtasasdt0(X3,X3))
| ~ sdtlseqdt0(X2,sz0z00)
| ~ aScalar0(sdtasasdt0(X3,X3))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aVector0(X3) )
| ~ spl5_55
| ~ spl5_96 ),
inference(resolution,[],[f897,f520]) ).
fof(f520,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_55 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f6673,plain,
( ~ spl5_19
| spl5_327
| ~ spl5_56
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f871,f698,f523,f6671,f326]) ).
fof(f6671,plain,
( spl5_327
<=> ! [X1] :
( sz0z00 = sdtasdt0(X1,X1)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ sdtlseqdt0(sdtasdt0(X1,X1),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_327])]) ).
fof(f871,plain,
( ! [X1] :
( sz0z00 = sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sdtasdt0(X1,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(X1) )
| ~ spl5_56
| ~ spl5_87 ),
inference(resolution,[],[f699,f524]) ).
fof(f6663,plain,
( ~ spl5_19
| spl5_326
| ~ spl5_55
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f870,f698,f519,f6661,f326]) ).
fof(f6661,plain,
( spl5_326
<=> ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_326])]) ).
fof(f870,plain,
( ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_55
| ~ spl5_87 ),
inference(resolution,[],[f699,f520]) ).
fof(f6549,plain,
( spl5_325
| ~ spl5_59
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1147,f551,f535,f6546]) ).
fof(f6546,plain,
( spl5_325
<=> sz0z00 = sdtasdt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_325])]) ).
fof(f6502,plain,
( spl5_324
| ~ spl5_19
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1004,f984,f326,f6500]) ).
fof(f6500,plain,
( spl5_324
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_324])]) ).
fof(f1004,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_101 ),
inference(resolution,[],[f985,f328]) ).
fof(f6498,plain,
( spl5_323
| ~ spl5_19
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f987,f980,f326,f6496]) ).
fof(f6496,plain,
( spl5_323
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_323])]) ).
fof(f987,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_100 ),
inference(resolution,[],[f981,f328]) ).
fof(f6494,plain,
( spl5_322
| ~ spl5_67
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f798,f791,f572,f6492]) ).
fof(f6492,plain,
( spl5_322
<=> ! [X9,X11,X10] :
( ~ aScalar0(X9)
| sdtasdt0(X9,sdtlbdtrb0(X10,X11)) = sdtasdt0(sdtlbdtrb0(X10,X11),X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_322])]) ).
fof(f791,plain,
( spl5_91
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
fof(f798,plain,
( ! [X10,X11,X9] :
( ~ aScalar0(X9)
| sdtasdt0(X9,sdtlbdtrb0(X10,X11)) = sdtasdt0(sdtlbdtrb0(X10,X11),X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) )
| ~ spl5_67
| ~ spl5_91 ),
inference(resolution,[],[f792,f573]) ).
fof(f792,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ spl5_91 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f6490,plain,
( spl5_321
| ~ spl5_70
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f796,f791,f585,f6488]) ).
fof(f6488,plain,
( spl5_321
<=> ! [X6,X4,X5] :
( ~ aScalar0(X4)
| sdtasdt0(X4,sdtasdt0(X5,X6)) = sdtasdt0(sdtasdt0(X5,X6),X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_321])]) ).
fof(f796,plain,
( ! [X6,X4,X5] :
( ~ aScalar0(X4)
| sdtasdt0(X4,sdtasdt0(X5,X6)) = sdtasdt0(sdtasdt0(X5,X6),X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) )
| ~ spl5_70
| ~ spl5_91 ),
inference(resolution,[],[f792,f586]) ).
fof(f6486,plain,
( spl5_320
| ~ spl5_68
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f795,f791,f576,f6484]) ).
fof(f6484,plain,
( spl5_320
<=> ! [X2,X1,X3] :
( ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtasdt0(sdtpldt0(X2,X3),X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_320])]) ).
fof(f795,plain,
( ! [X2,X3,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtasdt0(sdtpldt0(X2,X3),X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_91 ),
inference(resolution,[],[f792,f577]) ).
fof(f6482,plain,
( spl5_319
| ~ spl5_67
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f777,f705,f572,f6480]) ).
fof(f6480,plain,
( spl5_319
<=> ! [X9,X11,X10] :
( ~ aScalar0(X9)
| sdtpldt0(X9,sdtlbdtrb0(X10,X11)) = sdtpldt0(sdtlbdtrb0(X10,X11),X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_319])]) ).
fof(f705,plain,
( spl5_89
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
fof(f777,plain,
( ! [X10,X11,X9] :
( ~ aScalar0(X9)
| sdtpldt0(X9,sdtlbdtrb0(X10,X11)) = sdtpldt0(sdtlbdtrb0(X10,X11),X9)
| ~ aNaturalNumber0(X11)
| ~ aVector0(X10) )
| ~ spl5_67
| ~ spl5_89 ),
inference(resolution,[],[f706,f573]) ).
fof(f706,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ spl5_89 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f6478,plain,
( spl5_318
| ~ spl5_70
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f775,f705,f585,f6476]) ).
fof(f6476,plain,
( spl5_318
<=> ! [X6,X4,X5] :
( ~ aScalar0(X4)
| sdtpldt0(X4,sdtasdt0(X5,X6)) = sdtpldt0(sdtasdt0(X5,X6),X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_318])]) ).
fof(f775,plain,
( ! [X6,X4,X5] :
( ~ aScalar0(X4)
| sdtpldt0(X4,sdtasdt0(X5,X6)) = sdtpldt0(sdtasdt0(X5,X6),X4)
| ~ aScalar0(X6)
| ~ aScalar0(X5) )
| ~ spl5_70
| ~ spl5_89 ),
inference(resolution,[],[f706,f586]) ).
fof(f6474,plain,
( spl5_317
| ~ spl5_58
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1146,f551,f531,f6471]) ).
fof(f6471,plain,
( spl5_317
<=> xF = sdtpldt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_317])]) ).
fof(f1146,plain,
( xF = sdtpldt0(sz0z00,xF)
| ~ spl5_58
| ~ spl5_62 ),
inference(resolution,[],[f553,f532]) ).
fof(f6469,plain,
( spl5_316
| ~ spl5_68
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f774,f705,f576,f6467]) ).
fof(f6467,plain,
( spl5_316
<=> ! [X2,X1,X3] :
( ~ aScalar0(X1)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X2,X3),X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_316])]) ).
fof(f774,plain,
( ! [X2,X3,X1] :
( ~ aScalar0(X1)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X2,X3),X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_89 ),
inference(resolution,[],[f706,f577]) ).
fof(f6218,plain,
( spl5_315
| ~ spl5_57
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1145,f551,f527,f6215]) ).
fof(f6215,plain,
( spl5_315
<=> xF = sdtpldt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_315])]) ).
fof(f1145,plain,
( xF = sdtpldt0(xF,sz0z00)
| ~ spl5_57
| ~ spl5_62 ),
inference(resolution,[],[f553,f528]) ).
fof(f5940,plain,
( spl5_314
| ~ spl5_54
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1142,f543,f514,f5937]) ).
fof(f5937,plain,
( spl5_314
<=> xE = smndt0(smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_314])]) ).
fof(f1142,plain,
( xE = smndt0(smndt0(xE))
| ~ spl5_54
| ~ spl5_61 ),
inference(resolution,[],[f516,f544]) ).
fof(f5812,plain,
( spl5_313
| ~ spl5_13
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1020,f984,f296,f5810]) ).
fof(f5810,plain,
( spl5_313
<=> ! [X39,X40] :
( sdtasdt0(sdtpldt0(X39,X40),xN) = sdtpldt0(sdtasdt0(X39,xN),sdtasdt0(X40,xN))
| ~ aScalar0(X40)
| ~ aScalar0(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_313])]) ).
fof(f1020,plain,
( ! [X40,X39] :
( sdtasdt0(sdtpldt0(X39,X40),xN) = sdtpldt0(sdtasdt0(X39,xN),sdtasdt0(X40,xN))
| ~ aScalar0(X40)
| ~ aScalar0(X39) )
| ~ spl5_13
| ~ spl5_101 ),
inference(resolution,[],[f985,f298]) ).
fof(f5808,plain,
( spl5_312
| ~ spl5_11
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1019,f984,f286,f5806]) ).
fof(f5806,plain,
( spl5_312
<=> ! [X38,X37] :
( sdtasdt0(sdtpldt0(X37,X38),xS) = sdtpldt0(sdtasdt0(X37,xS),sdtasdt0(X38,xS))
| ~ aScalar0(X38)
| ~ aScalar0(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_312])]) ).
fof(f1019,plain,
( ! [X38,X37] :
( sdtasdt0(sdtpldt0(X37,X38),xS) = sdtpldt0(sdtasdt0(X37,xS),sdtasdt0(X38,xS))
| ~ aScalar0(X38)
| ~ aScalar0(X37) )
| ~ spl5_11
| ~ spl5_101 ),
inference(resolution,[],[f985,f288]) ).
fof(f5804,plain,
( spl5_311
| ~ spl5_14
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1018,f984,f301,f5802]) ).
fof(f5802,plain,
( spl5_311
<=> ! [X36,X35] :
( sdtasdt0(sdtpldt0(X35,X36),xP) = sdtpldt0(sdtasdt0(X35,xP),sdtasdt0(X36,xP))
| ~ aScalar0(X36)
| ~ aScalar0(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_311])]) ).
fof(f1018,plain,
( ! [X36,X35] :
( sdtasdt0(sdtpldt0(X35,X36),xP) = sdtpldt0(sdtasdt0(X35,xP),sdtasdt0(X36,xP))
| ~ aScalar0(X36)
| ~ aScalar0(X35) )
| ~ spl5_14
| ~ spl5_101 ),
inference(resolution,[],[f985,f303]) ).
fof(f5800,plain,
( spl5_310
| ~ spl5_12
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1017,f984,f291,f5798]) ).
fof(f5798,plain,
( spl5_310
<=> ! [X34,X33] :
( sdtasdt0(sdtpldt0(X33,X34),xR) = sdtpldt0(sdtasdt0(X33,xR),sdtasdt0(X34,xR))
| ~ aScalar0(X34)
| ~ aScalar0(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_310])]) ).
fof(f1017,plain,
( ! [X34,X33] :
( sdtasdt0(sdtpldt0(X33,X34),xR) = sdtpldt0(sdtasdt0(X33,xR),sdtasdt0(X34,xR))
| ~ aScalar0(X34)
| ~ aScalar0(X33) )
| ~ spl5_12
| ~ spl5_101 ),
inference(resolution,[],[f985,f293]) ).
fof(f5796,plain,
( spl5_309
| ~ spl5_7
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1016,f984,f266,f5794]) ).
fof(f5794,plain,
( spl5_309
<=> ! [X32,X31] :
( sdtasdt0(sdtpldt0(X31,X32),xH) = sdtpldt0(sdtasdt0(X31,xH),sdtasdt0(X32,xH))
| ~ aScalar0(X32)
| ~ aScalar0(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_309])]) ).
fof(f1016,plain,
( ! [X31,X32] :
( sdtasdt0(sdtpldt0(X31,X32),xH) = sdtpldt0(sdtasdt0(X31,xH),sdtasdt0(X32,xH))
| ~ aScalar0(X32)
| ~ aScalar0(X31) )
| ~ spl5_7
| ~ spl5_101 ),
inference(resolution,[],[f985,f268]) ).
fof(f5785,plain,
( spl5_308
| ~ spl5_6
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1015,f984,f261,f5783]) ).
fof(f5783,plain,
( spl5_308
<=> ! [X29,X30] :
( sdtasdt0(sdtpldt0(X29,X30),xG) = sdtpldt0(sdtasdt0(X29,xG),sdtasdt0(X30,xG))
| ~ aScalar0(X30)
| ~ aScalar0(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_308])]) ).
fof(f1015,plain,
( ! [X29,X30] :
( sdtasdt0(sdtpldt0(X29,X30),xG) = sdtpldt0(sdtasdt0(X29,xG),sdtasdt0(X30,xG))
| ~ aScalar0(X30)
| ~ aScalar0(X29) )
| ~ spl5_6
| ~ spl5_101 ),
inference(resolution,[],[f985,f263]) ).
fof(f5781,plain,
( spl5_307
| ~ spl5_8
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1014,f984,f271,f5779]) ).
fof(f5779,plain,
( spl5_307
<=> ! [X27,X28] :
( sdtasdt0(sdtpldt0(X27,X28),xF) = sdtpldt0(sdtasdt0(X27,xF),sdtasdt0(X28,xF))
| ~ aScalar0(X28)
| ~ aScalar0(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_307])]) ).
fof(f1014,plain,
( ! [X28,X27] :
( sdtasdt0(sdtpldt0(X27,X28),xF) = sdtpldt0(sdtasdt0(X27,xF),sdtasdt0(X28,xF))
| ~ aScalar0(X28)
| ~ aScalar0(X27) )
| ~ spl5_8
| ~ spl5_101 ),
inference(resolution,[],[f985,f273]) ).
fof(f5777,plain,
( spl5_306
| ~ spl5_15
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1013,f984,f306,f5775]) ).
fof(f5775,plain,
( spl5_306
<=> ! [X25,X26] :
( sdtasdt0(sdtpldt0(X25,X26),xE) = sdtpldt0(sdtasdt0(X25,xE),sdtasdt0(X26,xE))
| ~ aScalar0(X26)
| ~ aScalar0(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_306])]) ).
fof(f1013,plain,
( ! [X26,X25] :
( sdtasdt0(sdtpldt0(X25,X26),xE) = sdtpldt0(sdtasdt0(X25,xE),sdtasdt0(X26,xE))
| ~ aScalar0(X26)
| ~ aScalar0(X25) )
| ~ spl5_15
| ~ spl5_101 ),
inference(resolution,[],[f985,f308]) ).
fof(f5773,plain,
( spl5_305
| ~ spl5_9
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1012,f984,f276,f5771]) ).
fof(f5771,plain,
( spl5_305
<=> ! [X24,X23] :
( sdtasdt0(sdtpldt0(X23,X24),xD) = sdtpldt0(sdtasdt0(X23,xD),sdtasdt0(X24,xD))
| ~ aScalar0(X24)
| ~ aScalar0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_305])]) ).
fof(f1012,plain,
( ! [X24,X23] :
( sdtasdt0(sdtpldt0(X23,X24),xD) = sdtpldt0(sdtasdt0(X23,xD),sdtasdt0(X24,xD))
| ~ aScalar0(X24)
| ~ aScalar0(X23) )
| ~ spl5_9
| ~ spl5_101 ),
inference(resolution,[],[f985,f278]) ).
fof(f5769,plain,
( spl5_304
| ~ spl5_10
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1011,f984,f281,f5767]) ).
fof(f5767,plain,
( spl5_304
<=> ! [X22,X21] :
( sdtasdt0(sdtpldt0(X21,X22),xC) = sdtpldt0(sdtasdt0(X21,xC),sdtasdt0(X22,xC))
| ~ aScalar0(X22)
| ~ aScalar0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_304])]) ).
fof(f1011,plain,
( ! [X21,X22] :
( sdtasdt0(sdtpldt0(X21,X22),xC) = sdtpldt0(sdtasdt0(X21,xC),sdtasdt0(X22,xC))
| ~ aScalar0(X22)
| ~ aScalar0(X21) )
| ~ spl5_10
| ~ spl5_101 ),
inference(resolution,[],[f985,f283]) ).
fof(f5765,plain,
( spl5_303
| ~ spl5_16
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1010,f984,f311,f5763]) ).
fof(f5763,plain,
( spl5_303
<=> ! [X20,X19] :
( sdtasdt0(sdtpldt0(X19,X20),xB) = sdtpldt0(sdtasdt0(X19,xB),sdtasdt0(X20,xB))
| ~ aScalar0(X20)
| ~ aScalar0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_303])]) ).
fof(f1010,plain,
( ! [X19,X20] :
( sdtasdt0(sdtpldt0(X19,X20),xB) = sdtpldt0(sdtasdt0(X19,xB),sdtasdt0(X20,xB))
| ~ aScalar0(X20)
| ~ aScalar0(X19) )
| ~ spl5_16
| ~ spl5_101 ),
inference(resolution,[],[f985,f313]) ).
fof(f5761,plain,
( spl5_302
| ~ spl5_17
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1009,f984,f316,f5759]) ).
fof(f5759,plain,
( spl5_302
<=> ! [X18,X17] :
( sdtasdt0(sdtpldt0(X17,X18),xA) = sdtpldt0(sdtasdt0(X17,xA),sdtasdt0(X18,xA))
| ~ aScalar0(X18)
| ~ aScalar0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_302])]) ).
fof(f1009,plain,
( ! [X18,X17] :
( sdtasdt0(sdtpldt0(X17,X18),xA) = sdtpldt0(sdtasdt0(X17,xA),sdtasdt0(X18,xA))
| ~ aScalar0(X18)
| ~ aScalar0(X17) )
| ~ spl5_17
| ~ spl5_101 ),
inference(resolution,[],[f985,f318]) ).
fof(f5757,plain,
( spl5_301
| ~ spl5_13
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1003,f980,f296,f5755]) ).
fof(f5755,plain,
( spl5_301
<=> ! [X40,X39] :
( sdtasdt0(X39,sdtpldt0(X40,xN)) = sdtpldt0(sdtasdt0(X39,X40),sdtasdt0(X39,xN))
| ~ aScalar0(X40)
| ~ aScalar0(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_301])]) ).
fof(f1003,plain,
( ! [X40,X39] :
( sdtasdt0(X39,sdtpldt0(X40,xN)) = sdtpldt0(sdtasdt0(X39,X40),sdtasdt0(X39,xN))
| ~ aScalar0(X40)
| ~ aScalar0(X39) )
| ~ spl5_13
| ~ spl5_100 ),
inference(resolution,[],[f981,f298]) ).
fof(f5753,plain,
( spl5_300
| ~ spl5_11
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1002,f980,f286,f5751]) ).
fof(f5751,plain,
( spl5_300
<=> ! [X38,X37] :
( sdtasdt0(X37,sdtpldt0(X38,xS)) = sdtpldt0(sdtasdt0(X37,X38),sdtasdt0(X37,xS))
| ~ aScalar0(X38)
| ~ aScalar0(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_300])]) ).
fof(f1002,plain,
( ! [X38,X37] :
( sdtasdt0(X37,sdtpldt0(X38,xS)) = sdtpldt0(sdtasdt0(X37,X38),sdtasdt0(X37,xS))
| ~ aScalar0(X38)
| ~ aScalar0(X37) )
| ~ spl5_11
| ~ spl5_100 ),
inference(resolution,[],[f981,f288]) ).
fof(f5749,plain,
( spl5_299
| ~ spl5_14
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1001,f980,f301,f5747]) ).
fof(f5747,plain,
( spl5_299
<=> ! [X36,X35] :
( sdtasdt0(X35,sdtpldt0(X36,xP)) = sdtpldt0(sdtasdt0(X35,X36),sdtasdt0(X35,xP))
| ~ aScalar0(X36)
| ~ aScalar0(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_299])]) ).
fof(f1001,plain,
( ! [X36,X35] :
( sdtasdt0(X35,sdtpldt0(X36,xP)) = sdtpldt0(sdtasdt0(X35,X36),sdtasdt0(X35,xP))
| ~ aScalar0(X36)
| ~ aScalar0(X35) )
| ~ spl5_14
| ~ spl5_100 ),
inference(resolution,[],[f981,f303]) ).
fof(f5745,plain,
( spl5_298
| ~ spl5_23
| ~ spl5_284 ),
inference(avatar_split_clause,[],[f5525,f5489,f346,f5742]) ).
fof(f5742,plain,
( spl5_298
<=> sP2(sdtasdt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_298])]) ).
fof(f5489,plain,
( spl5_284
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_284])]) ).
fof(f5525,plain,
( sP2(sdtasdt0(xP,xP))
| ~ spl5_23
| ~ spl5_284 ),
inference(resolution,[],[f5490,f347]) ).
fof(f5490,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl5_284 ),
inference(avatar_component_clause,[],[f5489]) ).
fof(f5740,plain,
( spl5_297
| ~ spl5_12
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1000,f980,f291,f5738]) ).
fof(f5738,plain,
( spl5_297
<=> ! [X34,X33] :
( sdtasdt0(X33,sdtpldt0(X34,xR)) = sdtpldt0(sdtasdt0(X33,X34),sdtasdt0(X33,xR))
| ~ aScalar0(X34)
| ~ aScalar0(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_297])]) ).
fof(f1000,plain,
( ! [X34,X33] :
( sdtasdt0(X33,sdtpldt0(X34,xR)) = sdtpldt0(sdtasdt0(X33,X34),sdtasdt0(X33,xR))
| ~ aScalar0(X34)
| ~ aScalar0(X33) )
| ~ spl5_12
| ~ spl5_100 ),
inference(resolution,[],[f981,f293]) ).
fof(f5736,plain,
( spl5_296
| ~ spl5_7
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f999,f980,f266,f5734]) ).
fof(f5734,plain,
( spl5_296
<=> ! [X32,X31] :
( sdtasdt0(X31,sdtpldt0(X32,xH)) = sdtpldt0(sdtasdt0(X31,X32),sdtasdt0(X31,xH))
| ~ aScalar0(X32)
| ~ aScalar0(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_296])]) ).
fof(f999,plain,
( ! [X31,X32] :
( sdtasdt0(X31,sdtpldt0(X32,xH)) = sdtpldt0(sdtasdt0(X31,X32),sdtasdt0(X31,xH))
| ~ aScalar0(X32)
| ~ aScalar0(X31) )
| ~ spl5_7
| ~ spl5_100 ),
inference(resolution,[],[f981,f268]) ).
fof(f5732,plain,
( spl5_295
| ~ spl5_6
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f998,f980,f261,f5730]) ).
fof(f5730,plain,
( spl5_295
<=> ! [X29,X30] :
( sdtasdt0(X29,sdtpldt0(X30,xG)) = sdtpldt0(sdtasdt0(X29,X30),sdtasdt0(X29,xG))
| ~ aScalar0(X30)
| ~ aScalar0(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_295])]) ).
fof(f998,plain,
( ! [X29,X30] :
( sdtasdt0(X29,sdtpldt0(X30,xG)) = sdtpldt0(sdtasdt0(X29,X30),sdtasdt0(X29,xG))
| ~ aScalar0(X30)
| ~ aScalar0(X29) )
| ~ spl5_6
| ~ spl5_100 ),
inference(resolution,[],[f981,f263]) ).
fof(f5728,plain,
( spl5_294
| ~ spl5_8
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f997,f980,f271,f5726]) ).
fof(f5726,plain,
( spl5_294
<=> ! [X27,X28] :
( sdtasdt0(X27,sdtpldt0(X28,xF)) = sdtpldt0(sdtasdt0(X27,X28),sdtasdt0(X27,xF))
| ~ aScalar0(X28)
| ~ aScalar0(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_294])]) ).
fof(f997,plain,
( ! [X28,X27] :
( sdtasdt0(X27,sdtpldt0(X28,xF)) = sdtpldt0(sdtasdt0(X27,X28),sdtasdt0(X27,xF))
| ~ aScalar0(X28)
| ~ aScalar0(X27) )
| ~ spl5_8
| ~ spl5_100 ),
inference(resolution,[],[f981,f273]) ).
fof(f5724,plain,
( spl5_293
| ~ spl5_15
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f996,f980,f306,f5722]) ).
fof(f5722,plain,
( spl5_293
<=> ! [X25,X26] :
( sdtasdt0(X25,sdtpldt0(X26,xE)) = sdtpldt0(sdtasdt0(X25,X26),sdtasdt0(X25,xE))
| ~ aScalar0(X26)
| ~ aScalar0(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_293])]) ).
fof(f996,plain,
( ! [X26,X25] :
( sdtasdt0(X25,sdtpldt0(X26,xE)) = sdtpldt0(sdtasdt0(X25,X26),sdtasdt0(X25,xE))
| ~ aScalar0(X26)
| ~ aScalar0(X25) )
| ~ spl5_15
| ~ spl5_100 ),
inference(resolution,[],[f981,f308]) ).
fof(f5720,plain,
( spl5_292
| ~ spl5_9
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f995,f980,f276,f5718]) ).
fof(f5718,plain,
( spl5_292
<=> ! [X24,X23] :
( sdtasdt0(X23,sdtpldt0(X24,xD)) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,xD))
| ~ aScalar0(X24)
| ~ aScalar0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_292])]) ).
fof(f995,plain,
( ! [X24,X23] :
( sdtasdt0(X23,sdtpldt0(X24,xD)) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,xD))
| ~ aScalar0(X24)
| ~ aScalar0(X23) )
| ~ spl5_9
| ~ spl5_100 ),
inference(resolution,[],[f981,f278]) ).
fof(f5716,plain,
( spl5_291
| ~ spl5_10
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f994,f980,f281,f5714]) ).
fof(f5714,plain,
( spl5_291
<=> ! [X22,X21] :
( sdtasdt0(X21,sdtpldt0(X22,xC)) = sdtpldt0(sdtasdt0(X21,X22),sdtasdt0(X21,xC))
| ~ aScalar0(X22)
| ~ aScalar0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_291])]) ).
fof(f994,plain,
( ! [X21,X22] :
( sdtasdt0(X21,sdtpldt0(X22,xC)) = sdtpldt0(sdtasdt0(X21,X22),sdtasdt0(X21,xC))
| ~ aScalar0(X22)
| ~ aScalar0(X21) )
| ~ spl5_10
| ~ spl5_100 ),
inference(resolution,[],[f981,f283]) ).
fof(f5701,plain,
( ~ spl5_284
| ~ spl5_13
| spl5_290
| ~ spl5_25
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f913,f896,f368,f5699,f296,f5489]) ).
fof(f5699,plain,
( spl5_290
<=> ! [X0] :
( sdtlseqdt0(X0,xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xP,xP)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_290])]) ).
fof(f368,plain,
( spl5_25
<=> sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f913,plain,
( ! [X0] :
( sdtlseqdt0(X0,xN)
| ~ sdtlseqdt0(X0,sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(X0) )
| ~ spl5_25
| ~ spl5_96 ),
inference(resolution,[],[f897,f370]) ).
fof(f370,plain,
( sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f5524,plain,
( ~ spl5_14
| ~ spl5_70
| spl5_284 ),
inference(avatar_split_clause,[],[f5502,f5489,f585,f301]) ).
fof(f5502,plain,
( ~ aScalar0(xP)
| ~ spl5_70
| spl5_284 ),
inference(duplicate_literal_removal,[],[f5501]) ).
fof(f5501,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl5_70
| spl5_284 ),
inference(resolution,[],[f5491,f586]) ).
fof(f5491,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl5_284 ),
inference(avatar_component_clause,[],[f5489]) ).
fof(f5523,plain,
( spl5_289
| ~ spl5_16
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f993,f980,f311,f5521]) ).
fof(f5521,plain,
( spl5_289
<=> ! [X20,X19] :
( sdtasdt0(X19,sdtpldt0(X20,xB)) = sdtpldt0(sdtasdt0(X19,X20),sdtasdt0(X19,xB))
| ~ aScalar0(X20)
| ~ aScalar0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_289])]) ).
fof(f993,plain,
( ! [X19,X20] :
( sdtasdt0(X19,sdtpldt0(X20,xB)) = sdtpldt0(sdtasdt0(X19,X20),sdtasdt0(X19,xB))
| ~ aScalar0(X20)
| ~ aScalar0(X19) )
| ~ spl5_16
| ~ spl5_100 ),
inference(resolution,[],[f981,f313]) ).
fof(f5519,plain,
( spl5_288
| ~ spl5_17
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f992,f980,f316,f5517]) ).
fof(f5517,plain,
( spl5_288
<=> ! [X18,X17] :
( sdtasdt0(X17,sdtpldt0(X18,xA)) = sdtpldt0(sdtasdt0(X17,X18),sdtasdt0(X17,xA))
| ~ aScalar0(X18)
| ~ aScalar0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_288])]) ).
fof(f992,plain,
( ! [X18,X17] :
( sdtasdt0(X17,sdtpldt0(X18,xA)) = sdtpldt0(sdtasdt0(X17,X18),sdtasdt0(X17,xA))
| ~ aScalar0(X18)
| ~ aScalar0(X17) )
| ~ spl5_17
| ~ spl5_100 ),
inference(resolution,[],[f981,f318]) ).
fof(f5508,plain,
( spl5_287
| ~ spl5_66
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f659,f644,f568,f5506]) ).
fof(f5506,plain,
( spl5_287
<=> ! [X2] :
( sz00 = sK4(X2)
| sK4(X2) = szszuzczcdt0(sK4(sK4(X2)))
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_287])]) ).
fof(f568,plain,
( spl5_66
<=> ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
fof(f644,plain,
( spl5_77
<=> ! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
fof(f659,plain,
( ! [X2] :
( sz00 = sK4(X2)
| sK4(X2) = szszuzczcdt0(sK4(sK4(X2)))
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl5_66
| ~ spl5_77 ),
inference(resolution,[],[f645,f569]) ).
fof(f569,plain,
( ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_66 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f645,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK4(X0)) = X0 )
| ~ spl5_77 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f5500,plain,
( ~ spl5_13
| ~ spl5_284
| ~ spl5_285
| spl5_286
| ~ spl5_25
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f868,f698,f368,f5497,f5493,f5489,f296]) ).
fof(f5493,plain,
( spl5_285
<=> sdtlseqdt0(xN,sdtasdt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_285])]) ).
fof(f5497,plain,
( spl5_286
<=> xN = sdtasdt0(xP,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_286])]) ).
fof(f868,plain,
( xN = sdtasdt0(xP,xP)
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ spl5_25
| ~ spl5_87 ),
inference(resolution,[],[f699,f370]) ).
fof(f5425,plain,
( spl5_283
| ~ spl5_54
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1141,f539,f514,f5422]) ).
fof(f5422,plain,
( spl5_283
<=> sz0z00 = sdtasdt0(sz0z00,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_283])]) ).
fof(f5316,plain,
( spl5_282
| ~ spl5_19
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f961,f930,f326,f5314]) ).
fof(f5314,plain,
( spl5_282
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_282])]) ).
fof(f961,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_98 ),
inference(resolution,[],[f931,f328]) ).
fof(f5312,plain,
( spl5_281
| ~ spl5_19
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f944,f926,f326,f5310]) ).
fof(f5310,plain,
( spl5_281
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_281])]) ).
fof(f944,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_97 ),
inference(resolution,[],[f927,f328]) ).
fof(f5308,plain,
( spl5_280
| ~ spl5_78
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f923,f896,f648,f5306]) ).
fof(f5306,plain,
( spl5_280
<=> ! [X16,X14,X15] :
( sdtlseqdt0(X14,X15)
| ~ sdtlseqdt0(X14,X16)
| ~ aScalar0(X15)
| ~ aScalar0(X16)
| ~ aScalar0(X14)
| sdtlseqdt0(X15,X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_280])]) ).
fof(f648,plain,
( spl5_78
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f923,plain,
( ! [X16,X14,X15] :
( sdtlseqdt0(X14,X15)
| ~ sdtlseqdt0(X14,X16)
| ~ aScalar0(X15)
| ~ aScalar0(X16)
| ~ aScalar0(X14)
| sdtlseqdt0(X15,X16) )
| ~ spl5_78
| ~ spl5_96 ),
inference(duplicate_literal_removal,[],[f920]) ).
fof(f920,plain,
( ! [X16,X14,X15] :
( sdtlseqdt0(X14,X15)
| ~ sdtlseqdt0(X14,X16)
| ~ aScalar0(X15)
| ~ aScalar0(X16)
| ~ aScalar0(X14)
| sdtlseqdt0(X15,X16)
| ~ aScalar0(X15)
| ~ aScalar0(X16) )
| ~ spl5_78
| ~ spl5_96 ),
inference(resolution,[],[f897,f649]) ).
fof(f649,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_78 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f5304,plain,
( spl5_279
| ~ spl5_41
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f854,f689,f446,f5302]) ).
fof(f5302,plain,
( spl5_279
<=> ! [X8,X7] :
( smndt0(sdtasdt0(X7,smndt0(X8))) = sdtasdt0(smndt0(X7),smndt0(X8))
| ~ aScalar0(X7)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_279])]) ).
fof(f854,plain,
( ! [X8,X7] :
( smndt0(sdtasdt0(X7,smndt0(X8))) = sdtasdt0(smndt0(X7),smndt0(X8))
| ~ aScalar0(X7)
| ~ aScalar0(X8) )
| ~ spl5_41
| ~ spl5_85 ),
inference(resolution,[],[f690,f447]) ).
fof(f5300,plain,
( spl5_278
| ~ spl5_41
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f836,f685,f446,f5298]) ).
fof(f5298,plain,
( spl5_278
<=> ! [X8,X7] :
( sdtasdt0(X7,smndt0(smndt0(X8))) = smndt0(sdtasdt0(X7,smndt0(X8)))
| ~ aScalar0(X7)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_278])]) ).
fof(f836,plain,
( ! [X8,X7] :
( sdtasdt0(X7,smndt0(smndt0(X8))) = smndt0(sdtasdt0(X7,smndt0(X8)))
| ~ aScalar0(X7)
| ~ aScalar0(X8) )
| ~ spl5_41
| ~ spl5_84 ),
inference(resolution,[],[f686,f447]) ).
fof(f5296,plain,
( spl5_277
| ~ spl5_41
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f818,f681,f446,f5294]) ).
fof(f5294,plain,
( spl5_277
<=> ! [X8,X7] :
( sdtasdt0(X7,smndt0(X8)) = sdtasdt0(smndt0(X7),smndt0(smndt0(X8)))
| ~ aScalar0(X7)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_277])]) ).
fof(f818,plain,
( ! [X8,X7] :
( sdtasdt0(X7,smndt0(X8)) = sdtasdt0(smndt0(X7),smndt0(smndt0(X8)))
| ~ aScalar0(X7)
| ~ aScalar0(X8) )
| ~ spl5_41
| ~ spl5_83 ),
inference(resolution,[],[f682,f447]) ).
fof(f5292,plain,
( spl5_276
| ~ spl5_54
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1140,f535,f514,f5289]) ).
fof(f5289,plain,
( spl5_276
<=> sz0z00 = sdtasdt0(xE,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_276])]) ).
fof(f5030,plain,
( spl5_275
| ~ spl5_54
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1139,f531,f514,f5027]) ).
fof(f5027,plain,
( spl5_275
<=> xE = sdtpldt0(sz0z00,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_275])]) ).
fof(f1139,plain,
( xE = sdtpldt0(sz0z00,xE)
| ~ spl5_54
| ~ spl5_58 ),
inference(resolution,[],[f516,f532]) ).
fof(f4781,plain,
( spl5_274
| ~ spl5_54
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1138,f527,f514,f4778]) ).
fof(f4778,plain,
( spl5_274
<=> xE = sdtpldt0(xE,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_274])]) ).
fof(f1138,plain,
( xE = sdtpldt0(xE,sz0z00)
| ~ spl5_54
| ~ spl5_57 ),
inference(resolution,[],[f516,f528]) ).
fof(f4682,plain,
( spl5_273
| ~ spl5_13
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f977,f930,f296,f4680]) ).
fof(f4680,plain,
( spl5_273
<=> ! [X39,X40] :
( sdtasdt0(sdtasdt0(X39,X40),xN) = sdtasdt0(X39,sdtasdt0(X40,xN))
| ~ aScalar0(X40)
| ~ aScalar0(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_273])]) ).
fof(f977,plain,
( ! [X40,X39] :
( sdtasdt0(sdtasdt0(X39,X40),xN) = sdtasdt0(X39,sdtasdt0(X40,xN))
| ~ aScalar0(X40)
| ~ aScalar0(X39) )
| ~ spl5_13
| ~ spl5_98 ),
inference(resolution,[],[f931,f298]) ).
fof(f4678,plain,
( spl5_272
| ~ spl5_11
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f976,f930,f286,f4676]) ).
fof(f4676,plain,
( spl5_272
<=> ! [X38,X37] :
( sdtasdt0(sdtasdt0(X37,X38),xS) = sdtasdt0(X37,sdtasdt0(X38,xS))
| ~ aScalar0(X38)
| ~ aScalar0(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_272])]) ).
fof(f976,plain,
( ! [X38,X37] :
( sdtasdt0(sdtasdt0(X37,X38),xS) = sdtasdt0(X37,sdtasdt0(X38,xS))
| ~ aScalar0(X38)
| ~ aScalar0(X37) )
| ~ spl5_11
| ~ spl5_98 ),
inference(resolution,[],[f931,f288]) ).
fof(f4674,plain,
( spl5_271
| ~ spl5_14
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f975,f930,f301,f4672]) ).
fof(f4672,plain,
( spl5_271
<=> ! [X36,X35] :
( sdtasdt0(sdtasdt0(X35,X36),xP) = sdtasdt0(X35,sdtasdt0(X36,xP))
| ~ aScalar0(X36)
| ~ aScalar0(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_271])]) ).
fof(f975,plain,
( ! [X36,X35] :
( sdtasdt0(sdtasdt0(X35,X36),xP) = sdtasdt0(X35,sdtasdt0(X36,xP))
| ~ aScalar0(X36)
| ~ aScalar0(X35) )
| ~ spl5_14
| ~ spl5_98 ),
inference(resolution,[],[f931,f303]) ).
fof(f4670,plain,
( spl5_270
| ~ spl5_12
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f974,f930,f291,f4668]) ).
fof(f4668,plain,
( spl5_270
<=> ! [X34,X33] :
( sdtasdt0(sdtasdt0(X33,X34),xR) = sdtasdt0(X33,sdtasdt0(X34,xR))
| ~ aScalar0(X34)
| ~ aScalar0(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_270])]) ).
fof(f974,plain,
( ! [X34,X33] :
( sdtasdt0(sdtasdt0(X33,X34),xR) = sdtasdt0(X33,sdtasdt0(X34,xR))
| ~ aScalar0(X34)
| ~ aScalar0(X33) )
| ~ spl5_12
| ~ spl5_98 ),
inference(resolution,[],[f931,f293]) ).
fof(f4666,plain,
( spl5_269
| ~ spl5_7
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f973,f930,f266,f4664]) ).
fof(f4664,plain,
( spl5_269
<=> ! [X32,X31] :
( sdtasdt0(sdtasdt0(X31,X32),xH) = sdtasdt0(X31,sdtasdt0(X32,xH))
| ~ aScalar0(X32)
| ~ aScalar0(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_269])]) ).
fof(f973,plain,
( ! [X31,X32] :
( sdtasdt0(sdtasdt0(X31,X32),xH) = sdtasdt0(X31,sdtasdt0(X32,xH))
| ~ aScalar0(X32)
| ~ aScalar0(X31) )
| ~ spl5_7
| ~ spl5_98 ),
inference(resolution,[],[f931,f268]) ).
fof(f4662,plain,
( spl5_268
| ~ spl5_6
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f972,f930,f261,f4660]) ).
fof(f4660,plain,
( spl5_268
<=> ! [X29,X30] :
( sdtasdt0(sdtasdt0(X29,X30),xG) = sdtasdt0(X29,sdtasdt0(X30,xG))
| ~ aScalar0(X30)
| ~ aScalar0(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_268])]) ).
fof(f972,plain,
( ! [X29,X30] :
( sdtasdt0(sdtasdt0(X29,X30),xG) = sdtasdt0(X29,sdtasdt0(X30,xG))
| ~ aScalar0(X30)
| ~ aScalar0(X29) )
| ~ spl5_6
| ~ spl5_98 ),
inference(resolution,[],[f931,f263]) ).
fof(f4658,plain,
( spl5_267
| ~ spl5_48
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1135,f543,f482,f4655]) ).
fof(f4655,plain,
( spl5_267
<=> xD = smndt0(smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_267])]) ).
fof(f1135,plain,
( xD = smndt0(smndt0(xD))
| ~ spl5_48
| ~ spl5_61 ),
inference(resolution,[],[f484,f544]) ).
fof(f4653,plain,
( spl5_266
| ~ spl5_8
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f971,f930,f271,f4651]) ).
fof(f4651,plain,
( spl5_266
<=> ! [X27,X28] :
( sdtasdt0(sdtasdt0(X27,X28),xF) = sdtasdt0(X27,sdtasdt0(X28,xF))
| ~ aScalar0(X28)
| ~ aScalar0(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_266])]) ).
fof(f971,plain,
( ! [X28,X27] :
( sdtasdt0(sdtasdt0(X27,X28),xF) = sdtasdt0(X27,sdtasdt0(X28,xF))
| ~ aScalar0(X28)
| ~ aScalar0(X27) )
| ~ spl5_8
| ~ spl5_98 ),
inference(resolution,[],[f931,f273]) ).
fof(f4649,plain,
( spl5_265
| ~ spl5_15
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f970,f930,f306,f4647]) ).
fof(f4647,plain,
( spl5_265
<=> ! [X25,X26] :
( sdtasdt0(sdtasdt0(X25,X26),xE) = sdtasdt0(X25,sdtasdt0(X26,xE))
| ~ aScalar0(X26)
| ~ aScalar0(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_265])]) ).
fof(f970,plain,
( ! [X26,X25] :
( sdtasdt0(sdtasdt0(X25,X26),xE) = sdtasdt0(X25,sdtasdt0(X26,xE))
| ~ aScalar0(X26)
| ~ aScalar0(X25) )
| ~ spl5_15
| ~ spl5_98 ),
inference(resolution,[],[f931,f308]) ).
fof(f4645,plain,
( spl5_264
| ~ spl5_9
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f969,f930,f276,f4643]) ).
fof(f4643,plain,
( spl5_264
<=> ! [X24,X23] :
( sdtasdt0(sdtasdt0(X23,X24),xD) = sdtasdt0(X23,sdtasdt0(X24,xD))
| ~ aScalar0(X24)
| ~ aScalar0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_264])]) ).
fof(f969,plain,
( ! [X24,X23] :
( sdtasdt0(sdtasdt0(X23,X24),xD) = sdtasdt0(X23,sdtasdt0(X24,xD))
| ~ aScalar0(X24)
| ~ aScalar0(X23) )
| ~ spl5_9
| ~ spl5_98 ),
inference(resolution,[],[f931,f278]) ).
fof(f4641,plain,
( spl5_263
| ~ spl5_10
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f968,f930,f281,f4639]) ).
fof(f4639,plain,
( spl5_263
<=> ! [X22,X21] :
( sdtasdt0(sdtasdt0(X21,X22),xC) = sdtasdt0(X21,sdtasdt0(X22,xC))
| ~ aScalar0(X22)
| ~ aScalar0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_263])]) ).
fof(f968,plain,
( ! [X21,X22] :
( sdtasdt0(sdtasdt0(X21,X22),xC) = sdtasdt0(X21,sdtasdt0(X22,xC))
| ~ aScalar0(X22)
| ~ aScalar0(X21) )
| ~ spl5_10
| ~ spl5_98 ),
inference(resolution,[],[f931,f283]) ).
fof(f4637,plain,
( spl5_262
| ~ spl5_16
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f967,f930,f311,f4635]) ).
fof(f4635,plain,
( spl5_262
<=> ! [X20,X19] :
( sdtasdt0(sdtasdt0(X19,X20),xB) = sdtasdt0(X19,sdtasdt0(X20,xB))
| ~ aScalar0(X20)
| ~ aScalar0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_262])]) ).
fof(f967,plain,
( ! [X19,X20] :
( sdtasdt0(sdtasdt0(X19,X20),xB) = sdtasdt0(X19,sdtasdt0(X20,xB))
| ~ aScalar0(X20)
| ~ aScalar0(X19) )
| ~ spl5_16
| ~ spl5_98 ),
inference(resolution,[],[f931,f313]) ).
fof(f4633,plain,
( spl5_261
| ~ spl5_17
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f966,f930,f316,f4631]) ).
fof(f4631,plain,
( spl5_261
<=> ! [X18,X17] :
( sdtasdt0(sdtasdt0(X17,X18),xA) = sdtasdt0(X17,sdtasdt0(X18,xA))
| ~ aScalar0(X18)
| ~ aScalar0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_261])]) ).
fof(f966,plain,
( ! [X18,X17] :
( sdtasdt0(sdtasdt0(X17,X18),xA) = sdtasdt0(X17,sdtasdt0(X18,xA))
| ~ aScalar0(X18)
| ~ aScalar0(X17) )
| ~ spl5_17
| ~ spl5_98 ),
inference(resolution,[],[f931,f318]) ).
fof(f4629,plain,
( spl5_260
| ~ spl5_13
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f960,f926,f296,f4627]) ).
fof(f4627,plain,
( spl5_260
<=> ! [X39,X40] :
( sdtpldt0(sdtpldt0(X39,X40),xN) = sdtpldt0(X39,sdtpldt0(X40,xN))
| ~ aScalar0(X40)
| ~ aScalar0(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_260])]) ).
fof(f960,plain,
( ! [X40,X39] :
( sdtpldt0(sdtpldt0(X39,X40),xN) = sdtpldt0(X39,sdtpldt0(X40,xN))
| ~ aScalar0(X40)
| ~ aScalar0(X39) )
| ~ spl5_13
| ~ spl5_97 ),
inference(resolution,[],[f927,f298]) ).
fof(f4625,plain,
( spl5_259
| ~ spl5_11
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f959,f926,f286,f4623]) ).
fof(f4623,plain,
( spl5_259
<=> ! [X38,X37] :
( sdtpldt0(sdtpldt0(X37,X38),xS) = sdtpldt0(X37,sdtpldt0(X38,xS))
| ~ aScalar0(X38)
| ~ aScalar0(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_259])]) ).
fof(f959,plain,
( ! [X38,X37] :
( sdtpldt0(sdtpldt0(X37,X38),xS) = sdtpldt0(X37,sdtpldt0(X38,xS))
| ~ aScalar0(X38)
| ~ aScalar0(X37) )
| ~ spl5_11
| ~ spl5_97 ),
inference(resolution,[],[f927,f288]) ).
fof(f4621,plain,
( spl5_258
| ~ spl5_14
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f958,f926,f301,f4619]) ).
fof(f4619,plain,
( spl5_258
<=> ! [X36,X35] :
( sdtpldt0(sdtpldt0(X35,X36),xP) = sdtpldt0(X35,sdtpldt0(X36,xP))
| ~ aScalar0(X36)
| ~ aScalar0(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_258])]) ).
fof(f958,plain,
( ! [X36,X35] :
( sdtpldt0(sdtpldt0(X35,X36),xP) = sdtpldt0(X35,sdtpldt0(X36,xP))
| ~ aScalar0(X36)
| ~ aScalar0(X35) )
| ~ spl5_14
| ~ spl5_97 ),
inference(resolution,[],[f927,f303]) ).
fof(f4617,plain,
( spl5_257
| ~ spl5_12
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f957,f926,f291,f4615]) ).
fof(f4615,plain,
( spl5_257
<=> ! [X34,X33] :
( sdtpldt0(sdtpldt0(X33,X34),xR) = sdtpldt0(X33,sdtpldt0(X34,xR))
| ~ aScalar0(X34)
| ~ aScalar0(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_257])]) ).
fof(f957,plain,
( ! [X34,X33] :
( sdtpldt0(sdtpldt0(X33,X34),xR) = sdtpldt0(X33,sdtpldt0(X34,xR))
| ~ aScalar0(X34)
| ~ aScalar0(X33) )
| ~ spl5_12
| ~ spl5_97 ),
inference(resolution,[],[f927,f293]) ).
fof(f4613,plain,
( spl5_256
| ~ spl5_48
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1134,f539,f482,f4610]) ).
fof(f4610,plain,
( spl5_256
<=> sz0z00 = sdtasdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_256])]) ).
fof(f4608,plain,
( spl5_255
| ~ spl5_7
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f956,f926,f266,f4606]) ).
fof(f4606,plain,
( spl5_255
<=> ! [X32,X31] :
( sdtpldt0(sdtpldt0(X31,X32),xH) = sdtpldt0(X31,sdtpldt0(X32,xH))
| ~ aScalar0(X32)
| ~ aScalar0(X31) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_255])]) ).
fof(f956,plain,
( ! [X31,X32] :
( sdtpldt0(sdtpldt0(X31,X32),xH) = sdtpldt0(X31,sdtpldt0(X32,xH))
| ~ aScalar0(X32)
| ~ aScalar0(X31) )
| ~ spl5_7
| ~ spl5_97 ),
inference(resolution,[],[f927,f268]) ).
fof(f4604,plain,
( spl5_254
| ~ spl5_6
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f955,f926,f261,f4602]) ).
fof(f4602,plain,
( spl5_254
<=> ! [X29,X30] :
( sdtpldt0(sdtpldt0(X29,X30),xG) = sdtpldt0(X29,sdtpldt0(X30,xG))
| ~ aScalar0(X30)
| ~ aScalar0(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_254])]) ).
fof(f955,plain,
( ! [X29,X30] :
( sdtpldt0(sdtpldt0(X29,X30),xG) = sdtpldt0(X29,sdtpldt0(X30,xG))
| ~ aScalar0(X30)
| ~ aScalar0(X29) )
| ~ spl5_6
| ~ spl5_97 ),
inference(resolution,[],[f927,f263]) ).
fof(f4600,plain,
( spl5_253
| ~ spl5_8
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f954,f926,f271,f4598]) ).
fof(f4598,plain,
( spl5_253
<=> ! [X27,X28] :
( sdtpldt0(sdtpldt0(X27,X28),xF) = sdtpldt0(X27,sdtpldt0(X28,xF))
| ~ aScalar0(X28)
| ~ aScalar0(X27) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_253])]) ).
fof(f954,plain,
( ! [X28,X27] :
( sdtpldt0(sdtpldt0(X27,X28),xF) = sdtpldt0(X27,sdtpldt0(X28,xF))
| ~ aScalar0(X28)
| ~ aScalar0(X27) )
| ~ spl5_8
| ~ spl5_97 ),
inference(resolution,[],[f927,f273]) ).
fof(f4596,plain,
( spl5_252
| ~ spl5_15
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f953,f926,f306,f4594]) ).
fof(f4594,plain,
( spl5_252
<=> ! [X25,X26] :
( sdtpldt0(sdtpldt0(X25,X26),xE) = sdtpldt0(X25,sdtpldt0(X26,xE))
| ~ aScalar0(X26)
| ~ aScalar0(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_252])]) ).
fof(f953,plain,
( ! [X26,X25] :
( sdtpldt0(sdtpldt0(X25,X26),xE) = sdtpldt0(X25,sdtpldt0(X26,xE))
| ~ aScalar0(X26)
| ~ aScalar0(X25) )
| ~ spl5_15
| ~ spl5_97 ),
inference(resolution,[],[f927,f308]) ).
fof(f4592,plain,
( spl5_251
| ~ spl5_9
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f952,f926,f276,f4590]) ).
fof(f4590,plain,
( spl5_251
<=> ! [X24,X23] :
( sdtpldt0(sdtpldt0(X23,X24),xD) = sdtpldt0(X23,sdtpldt0(X24,xD))
| ~ aScalar0(X24)
| ~ aScalar0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_251])]) ).
fof(f952,plain,
( ! [X24,X23] :
( sdtpldt0(sdtpldt0(X23,X24),xD) = sdtpldt0(X23,sdtpldt0(X24,xD))
| ~ aScalar0(X24)
| ~ aScalar0(X23) )
| ~ spl5_9
| ~ spl5_97 ),
inference(resolution,[],[f927,f278]) ).
fof(f4588,plain,
( spl5_250
| ~ spl5_10
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f951,f926,f281,f4586]) ).
fof(f4586,plain,
( spl5_250
<=> ! [X22,X21] :
( sdtpldt0(sdtpldt0(X21,X22),xC) = sdtpldt0(X21,sdtpldt0(X22,xC))
| ~ aScalar0(X22)
| ~ aScalar0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_250])]) ).
fof(f951,plain,
( ! [X21,X22] :
( sdtpldt0(sdtpldt0(X21,X22),xC) = sdtpldt0(X21,sdtpldt0(X22,xC))
| ~ aScalar0(X22)
| ~ aScalar0(X21) )
| ~ spl5_10
| ~ spl5_97 ),
inference(resolution,[],[f927,f283]) ).
fof(f4584,plain,
( spl5_249
| ~ spl5_16
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f950,f926,f311,f4582]) ).
fof(f4582,plain,
( spl5_249
<=> ! [X20,X19] :
( sdtpldt0(sdtpldt0(X19,X20),xB) = sdtpldt0(X19,sdtpldt0(X20,xB))
| ~ aScalar0(X20)
| ~ aScalar0(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_249])]) ).
fof(f950,plain,
( ! [X19,X20] :
( sdtpldt0(sdtpldt0(X19,X20),xB) = sdtpldt0(X19,sdtpldt0(X20,xB))
| ~ aScalar0(X20)
| ~ aScalar0(X19) )
| ~ spl5_16
| ~ spl5_97 ),
inference(resolution,[],[f927,f313]) ).
fof(f4580,plain,
( spl5_248
| ~ spl5_17
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f949,f926,f316,f4578]) ).
fof(f4578,plain,
( spl5_248
<=> ! [X18,X17] :
( sdtpldt0(sdtpldt0(X17,X18),xA) = sdtpldt0(X17,sdtpldt0(X18,xA))
| ~ aScalar0(X18)
| ~ aScalar0(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_248])]) ).
fof(f949,plain,
( ! [X18,X17] :
( sdtpldt0(sdtpldt0(X17,X18),xA) = sdtpldt0(X17,sdtpldt0(X18,xA))
| ~ aScalar0(X18)
| ~ aScalar0(X17) )
| ~ spl5_17
| ~ spl5_97 ),
inference(resolution,[],[f927,f318]) ).
fof(f4576,plain,
( ~ spl5_4
| spl5_247
| ~ spl5_24
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f899,f879,f363,f4574,f251]) ).
fof(f4574,plain,
( spl5_247
<=> ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xt))
| sP0(X0,xs)
| aNaturalNumber0(sK3(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_247])]) ).
fof(f879,plain,
( spl5_92
<=> ! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_92])]) ).
fof(f899,plain,
( ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xt))
| aNaturalNumber0(sK3(X0,xs))
| sP0(X0,xs)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_92 ),
inference(superposition,[],[f880,f365]) ).
fof(f880,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK3(X0,X1))
| sP0(X0,X1)
| ~ aVector0(X1) )
| ~ spl5_92 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f4572,plain,
( spl5_246
| ~ spl5_48
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1133,f535,f482,f4569]) ).
fof(f4569,plain,
( spl5_246
<=> sz0z00 = sdtasdt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_246])]) ).
fof(f4550,plain,
( ~ spl5_3
| spl5_245
| ~ spl5_46
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f901,f879,f471,f4548,f246]) ).
fof(f246,plain,
( spl5_3
<=> aVector0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f4548,plain,
( spl5_245
<=> ! [X1] :
( aDimensionOf0(X1) != aDimensionOf0(xt)
| sP0(X1,xp)
| aNaturalNumber0(sK3(X1,xp)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_245])]) ).
fof(f471,plain,
( spl5_46
<=> aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f901,plain,
( ! [X1] :
( aDimensionOf0(X1) != aDimensionOf0(xt)
| aNaturalNumber0(sK3(X1,xp))
| sP0(X1,xp)
| ~ aVector0(xp) )
| ~ spl5_46
| ~ spl5_92 ),
inference(superposition,[],[f880,f473]) ).
fof(f473,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp))
| ~ spl5_46 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f4543,plain,
( ~ spl5_2
| spl5_244
| ~ spl5_44
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f900,f879,f461,f4541,f241]) ).
fof(f241,plain,
( spl5_2
<=> aVector0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f4541,plain,
( spl5_244
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sP0(X0,xq)
| aNaturalNumber0(sK3(X0,xq)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_244])]) ).
fof(f461,plain,
( spl5_44
<=> aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f900,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aNaturalNumber0(sK3(X0,xq))
| sP0(X0,xq)
| ~ aVector0(xq) )
| ~ spl5_44
| ~ spl5_92 ),
inference(superposition,[],[f880,f463]) ).
fof(f463,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
| ~ spl5_44 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f4536,plain,
( ~ spl5_131
| spl5_243
| ~ spl5_46
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f671,f667,f471,f4534,f1348]) ).
fof(f1348,plain,
( spl5_131
<=> aNaturalNumber0(aDimensionOf0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_131])]) ).
fof(f4534,plain,
( spl5_243
<=> ! [X1] :
( szszuzczcdt0(X1) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X1)
| aDimensionOf0(xp) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_243])]) ).
fof(f667,plain,
( spl5_81
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f671,plain,
( ! [X1] :
( szszuzczcdt0(X1) != aDimensionOf0(xt)
| aDimensionOf0(xp) = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(aDimensionOf0(xp)) )
| ~ spl5_46
| ~ spl5_81 ),
inference(superposition,[],[f668,f473]) ).
fof(f668,plain,
( ! [X0,X1] :
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) )
| ~ spl5_81 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f4529,plain,
( ~ spl5_129
| spl5_242
| ~ spl5_44
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f670,f667,f461,f4527,f1338]) ).
fof(f1338,plain,
( spl5_129
<=> aNaturalNumber0(aDimensionOf0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_129])]) ).
fof(f4527,plain,
( spl5_242
<=> ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X0)
| aDimensionOf0(xq) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_242])]) ).
fof(f670,plain,
( ! [X0] :
( szszuzczcdt0(X0) != aDimensionOf0(xt)
| aDimensionOf0(xq) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xq)) )
| ~ spl5_44
| ~ spl5_81 ),
inference(superposition,[],[f668,f463]) ).
fof(f4525,plain,
( spl5_241
| ~ spl5_48
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1132,f531,f482,f4522]) ).
fof(f4522,plain,
( spl5_241
<=> xD = sdtpldt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_241])]) ).
fof(f1132,plain,
( xD = sdtpldt0(sz0z00,xD)
| ~ spl5_48
| ~ spl5_58 ),
inference(resolution,[],[f484,f532]) ).
fof(f4520,plain,
( spl5_240
| ~ spl5_66
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f627,f612,f568,f4518]) ).
fof(f4518,plain,
( spl5_240
<=> ! [X2] :
( sdtlbdtrb0(xp,sK4(X2)) = sdtlbdtrb0(xs,sK4(X2))
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_240])]) ).
fof(f627,plain,
( ! [X2] :
( sdtlbdtrb0(xp,sK4(X2)) = sdtlbdtrb0(xs,sK4(X2))
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl5_66
| ~ spl5_72 ),
inference(resolution,[],[f613,f569]) ).
fof(f4516,plain,
( spl5_239
| ~ spl5_66
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f623,f608,f568,f4514]) ).
fof(f4514,plain,
( spl5_239
<=> ! [X2] :
( sdtlbdtrb0(xq,sK4(X2)) = sdtlbdtrb0(xt,sK4(X2))
| sz00 = X2
| ~ aNaturalNumber0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_239])]) ).
fof(f623,plain,
( ! [X2] :
( sdtlbdtrb0(xq,sK4(X2)) = sdtlbdtrb0(xt,sK4(X2))
| sz00 = X2
| ~ aNaturalNumber0(X2) )
| ~ spl5_66
| ~ spl5_71 ),
inference(resolution,[],[f609,f569]) ).
fof(f4457,plain,
( spl5_238
| ~ spl5_41
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f797,f791,f446,f4455]) ).
fof(f4455,plain,
( spl5_238
<=> ! [X7,X8] :
( ~ aScalar0(X7)
| sdtasdt0(X7,smndt0(X8)) = sdtasdt0(smndt0(X8),X7)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_238])]) ).
fof(f797,plain,
( ! [X8,X7] :
( ~ aScalar0(X7)
| sdtasdt0(X7,smndt0(X8)) = sdtasdt0(smndt0(X8),X7)
| ~ aScalar0(X8) )
| ~ spl5_41
| ~ spl5_91 ),
inference(resolution,[],[f792,f447]) ).
fof(f4453,plain,
( spl5_237
| ~ spl5_41
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f776,f705,f446,f4451]) ).
fof(f4451,plain,
( spl5_237
<=> ! [X7,X8] :
( ~ aScalar0(X7)
| sdtpldt0(X7,smndt0(X8)) = sdtpldt0(smndt0(X8),X7)
| ~ aScalar0(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_237])]) ).
fof(f776,plain,
( ! [X8,X7] :
( ~ aScalar0(X7)
| sdtpldt0(X7,smndt0(X8)) = sdtpldt0(smndt0(X8),X7)
| ~ aScalar0(X8) )
| ~ spl5_41
| ~ spl5_89 ),
inference(resolution,[],[f706,f447]) ).
fof(f4449,plain,
( spl5_236
| ~ spl5_39
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f658,f644,f438,f4447]) ).
fof(f4447,plain,
( spl5_236
<=> ! [X1] :
( sz00 = aDimensionOf0(X1)
| aDimensionOf0(X1) = szszuzczcdt0(sK4(aDimensionOf0(X1)))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_236])]) ).
fof(f438,plain,
( spl5_39
<=> ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f658,plain,
( ! [X1] :
( sz00 = aDimensionOf0(X1)
| aDimensionOf0(X1) = szszuzczcdt0(sK4(aDimensionOf0(X1)))
| ~ aVector0(X1) )
| ~ spl5_39
| ~ spl5_77 ),
inference(resolution,[],[f645,f439]) ).
fof(f439,plain,
( ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_39 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f4445,plain,
( spl5_235
| ~ spl5_38
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f657,f644,f434,f4443]) ).
fof(f4443,plain,
( spl5_235
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_235])]) ).
fof(f434,plain,
( spl5_38
<=> ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f657,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl5_38
| ~ spl5_77 ),
inference(resolution,[],[f645,f435]) ).
fof(f435,plain,
( ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_38 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f4439,plain,
( ~ spl5_12
| ~ spl5_11
| ~ spl5_233
| ~ spl5_232
| spl5_234
| ~ spl5_33
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f910,f892,f408,f4436,f4422,f4429,f286,f291]) ).
fof(f4429,plain,
( spl5_233
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_233])]) ).
fof(f4436,plain,
( spl5_234
<=> sdtlseqdt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_234])]) ).
fof(f910,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ spl5_33
| ~ spl5_95 ),
inference(superposition,[],[f893,f410]) ).
fof(f4432,plain,
( ~ spl5_10
| ~ spl5_6
| ~ spl5_114
| ~ spl5_116
| spl5_233
| ~ spl5_32
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f908,f892,f403,f4429,f1246,f1232,f261,f281]) ).
fof(f1232,plain,
( spl5_114
<=> sdtlseqdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_114])]) ).
fof(f908,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ spl5_32
| ~ spl5_95 ),
inference(superposition,[],[f893,f405]) ).
fof(f4425,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_115
| ~ spl5_113
| spl5_232
| ~ spl5_31
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f907,f892,f398,f4422,f1225,f1239,f276,f271]) ).
fof(f1239,plain,
( spl5_115
<=> sdtlseqdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_115])]) ).
fof(f907,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| ~ spl5_31
| ~ spl5_95 ),
inference(superposition,[],[f893,f400]) ).
fof(f4414,plain,
( ~ spl5_17
| ~ spl5_16
| ~ spl5_229
| ~ spl5_230
| spl5_231
| ~ spl5_27
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f906,f892,f378,f4411,f4407,f4403,f311,f316]) ).
fof(f4403,plain,
( spl5_229
<=> sdtlseqdt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_229])]) ).
fof(f4407,plain,
( spl5_230
<=> sdtlseqdt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_230])]) ).
fof(f4411,plain,
( spl5_231
<=> sdtlseqdt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_231])]) ).
fof(f906,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ spl5_27
| ~ spl5_95 ),
inference(superposition,[],[f893,f380]) ).
fof(f4398,plain,
( spl5_228
| ~ spl5_48
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1131,f527,f482,f4395]) ).
fof(f4395,plain,
( spl5_228
<=> xD = sdtpldt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_228])]) ).
fof(f1131,plain,
( xD = sdtpldt0(xD,sz0z00)
| ~ spl5_48
| ~ spl5_57 ),
inference(resolution,[],[f484,f528]) ).
fof(f4393,plain,
( ~ spl5_4
| spl5_227
| ~ spl5_24
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f812,f677,f363,f4391,f251]) ).
fof(f677,plain,
( spl5_82
<=> ! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f812,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aScalar0(sdtasasdt0(X0,xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_24
| ~ spl5_82 ),
inference(superposition,[],[f678,f365]) ).
fof(f678,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_82 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f4386,plain,
( ~ spl5_4
| spl5_226
| ~ spl5_24
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f811,f677,f363,f4384,f251]) ).
fof(f811,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_82 ),
inference(superposition,[],[f678,f365]) ).
fof(f4335,plain,
( spl5_225
| ~ spl5_105 ),
inference(avatar_split_clause,[],[f1058,f1055,f4333]) ).
fof(f4333,plain,
( spl5_225
<=> ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_225])]) ).
fof(f1055,plain,
( spl5_105
<=> ! [X0,X1] :
( sP0(X0,X1)
| sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_105])]) ).
fof(f1058,plain,
( ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_105 ),
inference(equality_resolution,[],[f1056]) ).
fof(f1056,plain,
( ! [X0,X1] :
( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| sP0(X0,X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
| ~ spl5_105 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f4331,plain,
( spl5_224
| ~ spl5_19
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f851,f689,f326,f4329]) ).
fof(f4329,plain,
( spl5_224
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_224])]) ).
fof(f851,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_85 ),
inference(resolution,[],[f690,f328]) ).
fof(f4326,plain,
( spl5_223
| ~ spl5_19
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f833,f685,f326,f4324]) ).
fof(f4324,plain,
( spl5_223
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_223])]) ).
fof(f833,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_84 ),
inference(resolution,[],[f686,f328]) ).
fof(f4321,plain,
( spl5_222
| ~ spl5_19
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f815,f681,f326,f4319]) ).
fof(f4319,plain,
( spl5_222
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_222])]) ).
fof(f815,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_83 ),
inference(resolution,[],[f682,f328]) ).
fof(f4294,plain,
( spl5_221
| ~ spl5_43
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1099,f543,f454,f4291]) ).
fof(f4291,plain,
( spl5_221
<=> xC = smndt0(smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_221])]) ).
fof(f1099,plain,
( xC = smndt0(smndt0(xC))
| ~ spl5_43
| ~ spl5_61 ),
inference(resolution,[],[f456,f544]) ).
fof(f4022,plain,
( spl5_220
| ~ spl5_43
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1098,f539,f454,f4019]) ).
fof(f4019,plain,
( spl5_220
<=> sz0z00 = sdtasdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_220])]) ).
fof(f3756,plain,
( spl5_219
| ~ spl5_43
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1097,f535,f454,f3753]) ).
fof(f3753,plain,
( spl5_219
<=> sz0z00 = sdtasdt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_219])]) ).
fof(f3487,plain,
( spl5_218
| ~ spl5_43
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1096,f531,f454,f3484]) ).
fof(f3484,plain,
( spl5_218
<=> xC = sdtpldt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_218])]) ).
fof(f1096,plain,
( xC = sdtpldt0(sz0z00,xC)
| ~ spl5_43
| ~ spl5_58 ),
inference(resolution,[],[f456,f532]) ).
fof(f3322,plain,
( spl5_217
| ~ spl5_13
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f867,f689,f296,f3320]) ).
fof(f3320,plain,
( spl5_217
<=> ! [X23] :
( smndt0(sdtasdt0(X23,xN)) = sdtasdt0(smndt0(X23),xN)
| ~ aScalar0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_217])]) ).
fof(f867,plain,
( ! [X23] :
( smndt0(sdtasdt0(X23,xN)) = sdtasdt0(smndt0(X23),xN)
| ~ aScalar0(X23) )
| ~ spl5_13
| ~ spl5_85 ),
inference(resolution,[],[f690,f298]) ).
fof(f3318,plain,
( spl5_216
| ~ spl5_43
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1095,f527,f454,f3315]) ).
fof(f3315,plain,
( spl5_216
<=> xC = sdtpldt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_216])]) ).
fof(f1095,plain,
( xC = sdtpldt0(xC,sz0z00)
| ~ spl5_43
| ~ spl5_57 ),
inference(resolution,[],[f456,f528]) ).
fof(f3313,plain,
( spl5_215
| ~ spl5_11
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f866,f689,f286,f3311]) ).
fof(f3311,plain,
( spl5_215
<=> ! [X22] :
( smndt0(sdtasdt0(X22,xS)) = sdtasdt0(smndt0(X22),xS)
| ~ aScalar0(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_215])]) ).
fof(f866,plain,
( ! [X22] :
( smndt0(sdtasdt0(X22,xS)) = sdtasdt0(smndt0(X22),xS)
| ~ aScalar0(X22) )
| ~ spl5_11
| ~ spl5_85 ),
inference(resolution,[],[f690,f288]) ).
fof(f3309,plain,
( spl5_214
| ~ spl5_14
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f865,f689,f301,f3307]) ).
fof(f3307,plain,
( spl5_214
<=> ! [X21] :
( smndt0(sdtasdt0(X21,xP)) = sdtasdt0(smndt0(X21),xP)
| ~ aScalar0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_214])]) ).
fof(f865,plain,
( ! [X21] :
( smndt0(sdtasdt0(X21,xP)) = sdtasdt0(smndt0(X21),xP)
| ~ aScalar0(X21) )
| ~ spl5_14
| ~ spl5_85 ),
inference(resolution,[],[f690,f303]) ).
fof(f3305,plain,
( spl5_213
| ~ spl5_12
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f864,f689,f291,f3303]) ).
fof(f864,plain,
( ! [X20] :
( smndt0(sdtasdt0(X20,xR)) = sdtasdt0(smndt0(X20),xR)
| ~ aScalar0(X20) )
| ~ spl5_12
| ~ spl5_85 ),
inference(resolution,[],[f690,f293]) ).
fof(f3301,plain,
( spl5_212
| ~ spl5_7
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f863,f689,f266,f3299]) ).
fof(f863,plain,
( ! [X19] :
( smndt0(sdtasdt0(X19,xH)) = sdtasdt0(smndt0(X19),xH)
| ~ aScalar0(X19) )
| ~ spl5_7
| ~ spl5_85 ),
inference(resolution,[],[f690,f268]) ).
fof(f3297,plain,
( spl5_211
| ~ spl5_6
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f862,f689,f261,f3295]) ).
fof(f862,plain,
( ! [X18] :
( smndt0(sdtasdt0(X18,xG)) = sdtasdt0(smndt0(X18),xG)
| ~ aScalar0(X18) )
| ~ spl5_6
| ~ spl5_85 ),
inference(resolution,[],[f690,f263]) ).
fof(f3293,plain,
( spl5_210
| ~ spl5_8
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f861,f689,f271,f3291]) ).
fof(f861,plain,
( ! [X17] :
( smndt0(sdtasdt0(X17,xF)) = sdtasdt0(smndt0(X17),xF)
| ~ aScalar0(X17) )
| ~ spl5_8
| ~ spl5_85 ),
inference(resolution,[],[f690,f273]) ).
fof(f3289,plain,
( spl5_209
| ~ spl5_15
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f860,f689,f306,f3287]) ).
fof(f860,plain,
( ! [X16] :
( smndt0(sdtasdt0(X16,xE)) = sdtasdt0(smndt0(X16),xE)
| ~ aScalar0(X16) )
| ~ spl5_15
| ~ spl5_85 ),
inference(resolution,[],[f690,f308]) ).
fof(f3285,plain,
( spl5_208
| ~ spl5_9
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f859,f689,f276,f3283]) ).
fof(f859,plain,
( ! [X15] :
( smndt0(sdtasdt0(X15,xD)) = sdtasdt0(smndt0(X15),xD)
| ~ aScalar0(X15) )
| ~ spl5_9
| ~ spl5_85 ),
inference(resolution,[],[f690,f278]) ).
fof(f3281,plain,
( spl5_207
| ~ spl5_10
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f858,f689,f281,f3279]) ).
fof(f858,plain,
( ! [X14] :
( smndt0(sdtasdt0(X14,xC)) = sdtasdt0(smndt0(X14),xC)
| ~ aScalar0(X14) )
| ~ spl5_10
| ~ spl5_85 ),
inference(resolution,[],[f690,f283]) ).
fof(f3277,plain,
( spl5_206
| ~ spl5_16
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f857,f689,f311,f3275]) ).
fof(f857,plain,
( ! [X13] :
( smndt0(sdtasdt0(X13,xB)) = sdtasdt0(smndt0(X13),xB)
| ~ aScalar0(X13) )
| ~ spl5_16
| ~ spl5_85 ),
inference(resolution,[],[f690,f313]) ).
fof(f3273,plain,
( spl5_205
| ~ spl5_37
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1039,f543,f429,f3270]) ).
fof(f3270,plain,
( spl5_205
<=> xB = smndt0(smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_205])]) ).
fof(f1039,plain,
( xB = smndt0(smndt0(xB))
| ~ spl5_37
| ~ spl5_61 ),
inference(resolution,[],[f431,f544]) ).
fof(f3268,plain,
( spl5_204
| ~ spl5_17
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f856,f689,f316,f3266]) ).
fof(f856,plain,
( ! [X12] :
( smndt0(sdtasdt0(X12,xA)) = sdtasdt0(smndt0(X12),xA)
| ~ aScalar0(X12) )
| ~ spl5_17
| ~ spl5_85 ),
inference(resolution,[],[f690,f318]) ).
fof(f3264,plain,
( spl5_203
| ~ spl5_13
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f849,f685,f296,f3262]) ).
fof(f3262,plain,
( spl5_203
<=> ! [X23] :
( sdtasdt0(X23,smndt0(xN)) = smndt0(sdtasdt0(X23,xN))
| ~ aScalar0(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_203])]) ).
fof(f849,plain,
( ! [X23] :
( sdtasdt0(X23,smndt0(xN)) = smndt0(sdtasdt0(X23,xN))
| ~ aScalar0(X23) )
| ~ spl5_13
| ~ spl5_84 ),
inference(resolution,[],[f686,f298]) ).
fof(f3260,plain,
( spl5_202
| ~ spl5_11
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f848,f685,f286,f3258]) ).
fof(f848,plain,
( ! [X22] :
( sdtasdt0(X22,smndt0(xS)) = smndt0(sdtasdt0(X22,xS))
| ~ aScalar0(X22) )
| ~ spl5_11
| ~ spl5_84 ),
inference(resolution,[],[f686,f288]) ).
fof(f3256,plain,
( spl5_201
| ~ spl5_14
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f847,f685,f301,f3254]) ).
fof(f3254,plain,
( spl5_201
<=> ! [X21] :
( sdtasdt0(X21,smndt0(xP)) = smndt0(sdtasdt0(X21,xP))
| ~ aScalar0(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_201])]) ).
fof(f847,plain,
( ! [X21] :
( sdtasdt0(X21,smndt0(xP)) = smndt0(sdtasdt0(X21,xP))
| ~ aScalar0(X21) )
| ~ spl5_14
| ~ spl5_84 ),
inference(resolution,[],[f686,f303]) ).
fof(f3252,plain,
( spl5_200
| ~ spl5_12
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f846,f685,f291,f3250]) ).
fof(f846,plain,
( ! [X20] :
( sdtasdt0(X20,smndt0(xR)) = smndt0(sdtasdt0(X20,xR))
| ~ aScalar0(X20) )
| ~ spl5_12
| ~ spl5_84 ),
inference(resolution,[],[f686,f293]) ).
fof(f3248,plain,
( spl5_199
| ~ spl5_7
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f845,f685,f266,f3246]) ).
fof(f845,plain,
( ! [X19] :
( sdtasdt0(X19,smndt0(xH)) = smndt0(sdtasdt0(X19,xH))
| ~ aScalar0(X19) )
| ~ spl5_7
| ~ spl5_84 ),
inference(resolution,[],[f686,f268]) ).
fof(f3244,plain,
( spl5_198
| ~ spl5_6
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f844,f685,f261,f3242]) ).
fof(f844,plain,
( ! [X18] :
( sdtasdt0(X18,smndt0(xG)) = smndt0(sdtasdt0(X18,xG))
| ~ aScalar0(X18) )
| ~ spl5_6
| ~ spl5_84 ),
inference(resolution,[],[f686,f263]) ).
fof(f3240,plain,
( spl5_197
| ~ spl5_8
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f843,f685,f271,f3238]) ).
fof(f843,plain,
( ! [X17] :
( sdtasdt0(X17,smndt0(xF)) = smndt0(sdtasdt0(X17,xF))
| ~ aScalar0(X17) )
| ~ spl5_8
| ~ spl5_84 ),
inference(resolution,[],[f686,f273]) ).
fof(f3236,plain,
( spl5_196
| ~ spl5_15
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f842,f685,f306,f3234]) ).
fof(f842,plain,
( ! [X16] :
( sdtasdt0(X16,smndt0(xE)) = smndt0(sdtasdt0(X16,xE))
| ~ aScalar0(X16) )
| ~ spl5_15
| ~ spl5_84 ),
inference(resolution,[],[f686,f308]) ).
fof(f3232,plain,
( spl5_195
| ~ spl5_9
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f841,f685,f276,f3230]) ).
fof(f841,plain,
( ! [X15] :
( sdtasdt0(X15,smndt0(xD)) = smndt0(sdtasdt0(X15,xD))
| ~ aScalar0(X15) )
| ~ spl5_9
| ~ spl5_84 ),
inference(resolution,[],[f686,f278]) ).
fof(f3228,plain,
( spl5_194
| ~ spl5_37
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1038,f539,f429,f3225]) ).
fof(f1038,plain,
( sz0z00 = sdtasdt0(sz0z00,xB)
| ~ spl5_37
| ~ spl5_60 ),
inference(resolution,[],[f431,f540]) ).
fof(f3223,plain,
( spl5_193
| ~ spl5_10
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f840,f685,f281,f3221]) ).
fof(f840,plain,
( ! [X14] :
( sdtasdt0(X14,smndt0(xC)) = smndt0(sdtasdt0(X14,xC))
| ~ aScalar0(X14) )
| ~ spl5_10
| ~ spl5_84 ),
inference(resolution,[],[f686,f283]) ).
fof(f3219,plain,
( spl5_192
| ~ spl5_16
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f839,f685,f311,f3217]) ).
fof(f839,plain,
( ! [X13] :
( sdtasdt0(X13,smndt0(xB)) = smndt0(sdtasdt0(X13,xB))
| ~ aScalar0(X13) )
| ~ spl5_16
| ~ spl5_84 ),
inference(resolution,[],[f686,f313]) ).
fof(f3215,plain,
( spl5_191
| ~ spl5_17
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f838,f685,f316,f3213]) ).
fof(f838,plain,
( ! [X12] :
( sdtasdt0(X12,smndt0(xA)) = smndt0(sdtasdt0(X12,xA))
| ~ aScalar0(X12) )
| ~ spl5_17
| ~ spl5_84 ),
inference(resolution,[],[f686,f318]) ).
fof(f3211,plain,
( spl5_190
| ~ spl5_13
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f831,f681,f296,f3209]) ).
fof(f831,plain,
( ! [X23] :
( sdtasdt0(X23,xN) = sdtasdt0(smndt0(X23),smndt0(xN))
| ~ aScalar0(X23) )
| ~ spl5_13
| ~ spl5_83 ),
inference(resolution,[],[f682,f298]) ).
fof(f3207,plain,
( spl5_189
| ~ spl5_11
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f830,f681,f286,f3205]) ).
fof(f830,plain,
( ! [X22] :
( sdtasdt0(X22,xS) = sdtasdt0(smndt0(X22),smndt0(xS))
| ~ aScalar0(X22) )
| ~ spl5_11
| ~ spl5_83 ),
inference(resolution,[],[f682,f288]) ).
fof(f3203,plain,
( spl5_188
| ~ spl5_14
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f829,f681,f301,f3201]) ).
fof(f829,plain,
( ! [X21] :
( sdtasdt0(X21,xP) = sdtasdt0(smndt0(X21),smndt0(xP))
| ~ aScalar0(X21) )
| ~ spl5_14
| ~ spl5_83 ),
inference(resolution,[],[f682,f303]) ).
fof(f3199,plain,
( spl5_187
| ~ spl5_12
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f828,f681,f291,f3197]) ).
fof(f828,plain,
( ! [X20] :
( sdtasdt0(X20,xR) = sdtasdt0(smndt0(X20),smndt0(xR))
| ~ aScalar0(X20) )
| ~ spl5_12
| ~ spl5_83 ),
inference(resolution,[],[f682,f293]) ).
fof(f3195,plain,
( spl5_186
| ~ spl5_7
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f827,f681,f266,f3193]) ).
fof(f827,plain,
( ! [X19] :
( sdtasdt0(X19,xH) = sdtasdt0(smndt0(X19),smndt0(xH))
| ~ aScalar0(X19) )
| ~ spl5_7
| ~ spl5_83 ),
inference(resolution,[],[f682,f268]) ).
fof(f3191,plain,
( spl5_185
| ~ spl5_6
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f826,f681,f261,f3189]) ).
fof(f826,plain,
( ! [X18] :
( sdtasdt0(X18,xG) = sdtasdt0(smndt0(X18),smndt0(xG))
| ~ aScalar0(X18) )
| ~ spl5_6
| ~ spl5_83 ),
inference(resolution,[],[f682,f263]) ).
fof(f3187,plain,
( spl5_184
| ~ spl5_8
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f825,f681,f271,f3185]) ).
fof(f825,plain,
( ! [X17] :
( sdtasdt0(X17,xF) = sdtasdt0(smndt0(X17),smndt0(xF))
| ~ aScalar0(X17) )
| ~ spl5_8
| ~ spl5_83 ),
inference(resolution,[],[f682,f273]) ).
fof(f3183,plain,
( spl5_183
| ~ spl5_37
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1037,f535,f429,f3180]) ).
fof(f3180,plain,
( spl5_183
<=> sz0z00 = sdtasdt0(xB,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_183])]) ).
fof(f3178,plain,
( spl5_182
| ~ spl5_15
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f824,f681,f306,f3176]) ).
fof(f824,plain,
( ! [X16] :
( sdtasdt0(X16,xE) = sdtasdt0(smndt0(X16),smndt0(xE))
| ~ aScalar0(X16) )
| ~ spl5_15
| ~ spl5_83 ),
inference(resolution,[],[f682,f308]) ).
fof(f3174,plain,
( spl5_181
| ~ spl5_9
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f823,f681,f276,f3172]) ).
fof(f823,plain,
( ! [X15] :
( sdtasdt0(X15,xD) = sdtasdt0(smndt0(X15),smndt0(xD))
| ~ aScalar0(X15) )
| ~ spl5_9
| ~ spl5_83 ),
inference(resolution,[],[f682,f278]) ).
fof(f3170,plain,
( spl5_180
| ~ spl5_10
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f822,f681,f281,f3168]) ).
fof(f822,plain,
( ! [X14] :
( sdtasdt0(X14,xC) = sdtasdt0(smndt0(X14),smndt0(xC))
| ~ aScalar0(X14) )
| ~ spl5_10
| ~ spl5_83 ),
inference(resolution,[],[f682,f283]) ).
fof(f3166,plain,
( spl5_179
| ~ spl5_16
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f821,f681,f311,f3164]) ).
fof(f821,plain,
( ! [X13] :
( sdtasdt0(X13,xB) = sdtasdt0(smndt0(X13),smndt0(xB))
| ~ aScalar0(X13) )
| ~ spl5_16
| ~ spl5_83 ),
inference(resolution,[],[f682,f313]) ).
fof(f3162,plain,
( spl5_178
| ~ spl5_17
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f820,f681,f316,f3160]) ).
fof(f820,plain,
( ! [X12] :
( sdtasdt0(X12,xA) = sdtasdt0(smndt0(X12),smndt0(xA))
| ~ aScalar0(X12) )
| ~ spl5_17
| ~ spl5_83 ),
inference(resolution,[],[f682,f318]) ).
fof(f3158,plain,
( spl5_177
| ~ spl5_39
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f626,f612,f438,f3156]) ).
fof(f3156,plain,
( spl5_177
<=> ! [X1] :
( sdtlbdtrb0(xp,aDimensionOf0(X1)) = sdtlbdtrb0(xs,aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_177])]) ).
fof(f626,plain,
( ! [X1] :
( sdtlbdtrb0(xp,aDimensionOf0(X1)) = sdtlbdtrb0(xs,aDimensionOf0(X1))
| ~ aVector0(X1) )
| ~ spl5_39
| ~ spl5_72 ),
inference(resolution,[],[f613,f439]) ).
fof(f3154,plain,
( spl5_176
| ~ spl5_38
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f625,f612,f434,f3152]) ).
fof(f3152,plain,
( spl5_176
<=> ! [X0] :
( sdtlbdtrb0(xp,szszuzczcdt0(X0)) = sdtlbdtrb0(xs,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_176])]) ).
fof(f625,plain,
( ! [X0] :
( sdtlbdtrb0(xp,szszuzczcdt0(X0)) = sdtlbdtrb0(xs,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_38
| ~ spl5_72 ),
inference(resolution,[],[f613,f435]) ).
fof(f3150,plain,
( spl5_175
| ~ spl5_39
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f622,f608,f438,f3148]) ).
fof(f3148,plain,
( spl5_175
<=> ! [X1] :
( sdtlbdtrb0(xq,aDimensionOf0(X1)) = sdtlbdtrb0(xt,aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_175])]) ).
fof(f622,plain,
( ! [X1] :
( sdtlbdtrb0(xq,aDimensionOf0(X1)) = sdtlbdtrb0(xt,aDimensionOf0(X1))
| ~ aVector0(X1) )
| ~ spl5_39
| ~ spl5_71 ),
inference(resolution,[],[f609,f439]) ).
fof(f3146,plain,
( spl5_174
| ~ spl5_38
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f621,f608,f434,f3144]) ).
fof(f3144,plain,
( spl5_174
<=> ! [X0] :
( sdtlbdtrb0(xq,szszuzczcdt0(X0)) = sdtlbdtrb0(xt,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_174])]) ).
fof(f621,plain,
( ! [X0] :
( sdtlbdtrb0(xq,szszuzczcdt0(X0)) = sdtlbdtrb0(xt,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_38
| ~ spl5_71 ),
inference(resolution,[],[f609,f435]) ).
fof(f3111,plain,
( spl5_173
| ~ spl5_37
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1036,f531,f429,f3108]) ).
fof(f3108,plain,
( spl5_173
<=> xB = sdtpldt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_173])]) ).
fof(f1036,plain,
( xB = sdtpldt0(sz0z00,xB)
| ~ spl5_37
| ~ spl5_58 ),
inference(resolution,[],[f431,f532]) ).
fof(f3076,plain,
( spl5_172
| ~ spl5_19
| ~ spl5_52
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f850,f685,f499,f326,f3074]) ).
fof(f3074,plain,
( spl5_172
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_172])]) ).
fof(f850,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_52
| ~ spl5_84 ),
inference(forward_demodulation,[],[f833,f501]) ).
fof(f2894,plain,
( spl5_171
| ~ spl5_37
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1035,f527,f429,f2891]) ).
fof(f2891,plain,
( spl5_171
<=> xB = sdtpldt0(xB,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_171])]) ).
fof(f1035,plain,
( xB = sdtpldt0(xB,sz0z00)
| ~ spl5_37
| ~ spl5_57 ),
inference(resolution,[],[f431,f528]) ).
fof(f2693,plain,
( spl5_170
| ~ spl5_34
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f941,f543,f413,f2690]) ).
fof(f2690,plain,
( spl5_170
<=> xA = smndt0(smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_170])]) ).
fof(f941,plain,
( xA = smndt0(smndt0(xA))
| ~ spl5_34
| ~ spl5_61 ),
inference(resolution,[],[f415,f544]) ).
fof(f2513,plain,
( spl5_169
| ~ spl5_34
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f940,f539,f413,f2510]) ).
fof(f940,plain,
( sz0z00 = sdtasdt0(sz0z00,xA)
| ~ spl5_34
| ~ spl5_60 ),
inference(resolution,[],[f415,f540]) ).
fof(f2363,plain,
( spl5_168
| ~ spl5_34
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f939,f535,f413,f2360]) ).
fof(f939,plain,
( sz0z00 = sdtasdt0(xA,sz0z00)
| ~ spl5_34
| ~ spl5_59 ),
inference(resolution,[],[f415,f536]) ).
fof(f2108,plain,
( ~ spl5_51
| ~ spl5_110 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2079,plain,
( $false
| ~ spl5_51
| ~ spl5_110 ),
inference(resolution,[],[f497,f1197]) ).
fof(f497,plain,
( ! [X0] : ~ sP2(X0)
| ~ spl5_51 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl5_51
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f2107,plain,
( ~ spl5_34
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2084]) ).
fof(f2084,plain,
( $false
| ~ spl5_34
| ~ spl5_51 ),
inference(resolution,[],[f497,f415]) ).
fof(f2106,plain,
( ~ spl5_37
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2085,plain,
( $false
| ~ spl5_37
| ~ spl5_51 ),
inference(resolution,[],[f497,f431]) ).
fof(f2105,plain,
( ~ spl5_43
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2086]) ).
fof(f2086,plain,
( $false
| ~ spl5_43
| ~ spl5_51 ),
inference(resolution,[],[f497,f456]) ).
fof(f2104,plain,
( ~ spl5_48
| ~ spl5_51 ),
inference(avatar_contradiction_clause,[],[f2087]) ).
fof(f2087,plain,
( $false
| ~ spl5_48
| ~ spl5_51 ),
inference(resolution,[],[f497,f484]) ).
fof(f2103,plain,
( ~ spl5_51
| ~ spl5_54 ),
inference(avatar_contradiction_clause,[],[f2088]) ).
fof(f2088,plain,
( $false
| ~ spl5_51
| ~ spl5_54 ),
inference(resolution,[],[f497,f516]) ).
fof(f2102,plain,
( ~ spl5_51
| ~ spl5_62 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2089,plain,
( $false
| ~ spl5_51
| ~ spl5_62 ),
inference(resolution,[],[f497,f553]) ).
fof(f2101,plain,
( ~ spl5_51
| ~ spl5_69 ),
inference(avatar_contradiction_clause,[],[f2090]) ).
fof(f2090,plain,
( $false
| ~ spl5_51
| ~ spl5_69 ),
inference(resolution,[],[f497,f582]) ).
fof(f2100,plain,
( ~ spl5_51
| ~ spl5_73 ),
inference(avatar_contradiction_clause,[],[f2091]) ).
fof(f2091,plain,
( $false
| ~ spl5_51
| ~ spl5_73 ),
inference(resolution,[],[f497,f618]) ).
fof(f2099,plain,
( ~ spl5_51
| ~ spl5_79 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2092,plain,
( $false
| ~ spl5_51
| ~ spl5_79 ),
inference(resolution,[],[f497,f654]) ).
fof(f2098,plain,
( ~ spl5_51
| ~ spl5_86 ),
inference(avatar_contradiction_clause,[],[f2093]) ).
fof(f2093,plain,
( $false
| ~ spl5_51
| ~ spl5_86 ),
inference(resolution,[],[f497,f695]) ).
fof(f2097,plain,
( ~ spl5_51
| ~ spl5_90 ),
inference(avatar_contradiction_clause,[],[f2094]) ).
fof(f2094,plain,
( $false
| ~ spl5_51
| ~ spl5_90 ),
inference(resolution,[],[f497,f769]) ).
fof(f2096,plain,
( ~ spl5_51
| ~ spl5_93 ),
inference(avatar_contradiction_clause,[],[f2095]) ).
fof(f2095,plain,
( $false
| ~ spl5_51
| ~ spl5_93 ),
inference(resolution,[],[f497,f885]) ).
fof(f2078,plain,
( spl5_167
| ~ spl5_19
| ~ spl5_52
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f832,f681,f499,f326,f2076]) ).
fof(f832,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_52
| ~ spl5_83 ),
inference(forward_demodulation,[],[f815,f501]) ).
fof(f2014,plain,
( spl5_166
| ~ spl5_19
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f794,f791,f326,f2012]) ).
fof(f2012,plain,
( spl5_166
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_166])]) ).
fof(f794,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl5_19
| ~ spl5_91 ),
inference(resolution,[],[f792,f328]) ).
fof(f2010,plain,
( spl5_165
| ~ spl5_19
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f773,f705,f326,f2008]) ).
fof(f2008,plain,
( spl5_165
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_165])]) ).
fof(f773,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl5_19
| ~ spl5_89 ),
inference(resolution,[],[f706,f328]) ).
fof(f1987,plain,
( spl5_164
| ~ spl5_34
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f938,f531,f413,f1984]) ).
fof(f1984,plain,
( spl5_164
<=> xA = sdtpldt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_164])]) ).
fof(f938,plain,
( xA = sdtpldt0(sz0z00,xA)
| ~ spl5_34
| ~ spl5_58 ),
inference(resolution,[],[f415,f532]) ).
fof(f1526,plain,
( spl5_163
| ~ spl5_13
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f810,f791,f296,f1524]) ).
fof(f1524,plain,
( spl5_163
<=> ! [X23] :
( ~ aScalar0(X23)
| sdtasdt0(X23,xN) = sdtasdt0(xN,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_163])]) ).
fof(f810,plain,
( ! [X23] :
( ~ aScalar0(X23)
| sdtasdt0(X23,xN) = sdtasdt0(xN,X23) )
| ~ spl5_13
| ~ spl5_91 ),
inference(resolution,[],[f792,f298]) ).
fof(f1522,plain,
( spl5_162
| ~ spl5_11
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f809,f791,f286,f1520]) ).
fof(f809,plain,
( ! [X22] :
( ~ aScalar0(X22)
| sdtasdt0(X22,xS) = sdtasdt0(xS,X22) )
| ~ spl5_11
| ~ spl5_91 ),
inference(resolution,[],[f792,f288]) ).
fof(f1518,plain,
( spl5_161
| ~ spl5_14
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f808,f791,f301,f1516]) ).
fof(f808,plain,
( ! [X21] :
( ~ aScalar0(X21)
| sdtasdt0(X21,xP) = sdtasdt0(xP,X21) )
| ~ spl5_14
| ~ spl5_91 ),
inference(resolution,[],[f792,f303]) ).
fof(f1514,plain,
( spl5_160
| ~ spl5_12
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f807,f791,f291,f1512]) ).
fof(f807,plain,
( ! [X20] :
( ~ aScalar0(X20)
| sdtasdt0(X20,xR) = sdtasdt0(xR,X20) )
| ~ spl5_12
| ~ spl5_91 ),
inference(resolution,[],[f792,f293]) ).
fof(f1510,plain,
( spl5_159
| ~ spl5_7
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f806,f791,f266,f1508]) ).
fof(f806,plain,
( ! [X19] :
( ~ aScalar0(X19)
| sdtasdt0(X19,xH) = sdtasdt0(xH,X19) )
| ~ spl5_7
| ~ spl5_91 ),
inference(resolution,[],[f792,f268]) ).
fof(f1506,plain,
( spl5_158
| ~ spl5_6
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f805,f791,f261,f1504]) ).
fof(f805,plain,
( ! [X18] :
( ~ aScalar0(X18)
| sdtasdt0(X18,xG) = sdtasdt0(xG,X18) )
| ~ spl5_6
| ~ spl5_91 ),
inference(resolution,[],[f792,f263]) ).
fof(f1502,plain,
( spl5_157
| ~ spl5_8
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f804,f791,f271,f1500]) ).
fof(f804,plain,
( ! [X17] :
( ~ aScalar0(X17)
| sdtasdt0(X17,xF) = sdtasdt0(xF,X17) )
| ~ spl5_8
| ~ spl5_91 ),
inference(resolution,[],[f792,f273]) ).
fof(f1498,plain,
( spl5_156
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f1370,f1367,f1495]) ).
fof(f1495,plain,
( spl5_156
<=> sP0(xs,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_156])]) ).
fof(f1367,plain,
( spl5_134
<=> ! [X1] :
( xp != X1
| sP0(xs,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_134])]) ).
fof(f1370,plain,
( sP0(xs,xp)
| ~ spl5_134 ),
inference(equality_resolution,[],[f1368]) ).
fof(f1368,plain,
( ! [X1] :
( xp != X1
| sP0(xs,X1) )
| ~ spl5_134 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1493,plain,
( spl5_155
| ~ spl5_15
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f803,f791,f306,f1491]) ).
fof(f803,plain,
( ! [X16] :
( ~ aScalar0(X16)
| sdtasdt0(X16,xE) = sdtasdt0(xE,X16) )
| ~ spl5_15
| ~ spl5_91 ),
inference(resolution,[],[f792,f308]) ).
fof(f1489,plain,
( spl5_154
| ~ spl5_9
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f802,f791,f276,f1487]) ).
fof(f802,plain,
( ! [X15] :
( ~ aScalar0(X15)
| sdtasdt0(X15,xD) = sdtasdt0(xD,X15) )
| ~ spl5_9
| ~ spl5_91 ),
inference(resolution,[],[f792,f278]) ).
fof(f1485,plain,
( spl5_153
| ~ spl5_10
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f801,f791,f281,f1483]) ).
fof(f801,plain,
( ! [X14] :
( ~ aScalar0(X14)
| sdtasdt0(X14,xC) = sdtasdt0(xC,X14) )
| ~ spl5_10
| ~ spl5_91 ),
inference(resolution,[],[f792,f283]) ).
fof(f1481,plain,
( spl5_152
| ~ spl5_16
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f800,f791,f311,f1479]) ).
fof(f800,plain,
( ! [X13] :
( ~ aScalar0(X13)
| sdtasdt0(X13,xB) = sdtasdt0(xB,X13) )
| ~ spl5_16
| ~ spl5_91 ),
inference(resolution,[],[f792,f313]) ).
fof(f1477,plain,
( spl5_151
| ~ spl5_17
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f799,f791,f316,f1475]) ).
fof(f799,plain,
( ! [X12] :
( ~ aScalar0(X12)
| sdtasdt0(X12,xA) = sdtasdt0(xA,X12) )
| ~ spl5_17
| ~ spl5_91 ),
inference(resolution,[],[f792,f318]) ).
fof(f1473,plain,
( spl5_150
| ~ spl5_13
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f789,f705,f296,f1471]) ).
fof(f1471,plain,
( spl5_150
<=> ! [X23] :
( ~ aScalar0(X23)
| sdtpldt0(X23,xN) = sdtpldt0(xN,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_150])]) ).
fof(f789,plain,
( ! [X23] :
( ~ aScalar0(X23)
| sdtpldt0(X23,xN) = sdtpldt0(xN,X23) )
| ~ spl5_13
| ~ spl5_89 ),
inference(resolution,[],[f706,f298]) ).
fof(f1469,plain,
( spl5_149
| ~ spl5_11
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f788,f705,f286,f1467]) ).
fof(f788,plain,
( ! [X22] :
( ~ aScalar0(X22)
| sdtpldt0(X22,xS) = sdtpldt0(xS,X22) )
| ~ spl5_11
| ~ spl5_89 ),
inference(resolution,[],[f706,f288]) ).
fof(f1465,plain,
( spl5_148
| ~ spl5_14
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f787,f705,f301,f1463]) ).
fof(f787,plain,
( ! [X21] :
( ~ aScalar0(X21)
| sdtpldt0(X21,xP) = sdtpldt0(xP,X21) )
| ~ spl5_14
| ~ spl5_89 ),
inference(resolution,[],[f706,f303]) ).
fof(f1461,plain,
( spl5_147
| ~ spl5_12
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f786,f705,f291,f1459]) ).
fof(f786,plain,
( ! [X20] :
( ~ aScalar0(X20)
| sdtpldt0(X20,xR) = sdtpldt0(xR,X20) )
| ~ spl5_12
| ~ spl5_89 ),
inference(resolution,[],[f706,f293]) ).
fof(f1457,plain,
( spl5_146
| ~ spl5_7
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f785,f705,f266,f1455]) ).
fof(f785,plain,
( ! [X19] :
( ~ aScalar0(X19)
| sdtpldt0(X19,xH) = sdtpldt0(xH,X19) )
| ~ spl5_7
| ~ spl5_89 ),
inference(resolution,[],[f706,f268]) ).
fof(f1453,plain,
( spl5_145
| ~ spl5_133 ),
inference(avatar_split_clause,[],[f1365,f1358,f1450]) ).
fof(f1450,plain,
( spl5_145
<=> sP0(xt,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_145])]) ).
fof(f1358,plain,
( spl5_133
<=> ! [X0] :
( xq != X0
| sP0(xt,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_133])]) ).
fof(f1365,plain,
( sP0(xt,xq)
| ~ spl5_133 ),
inference(equality_resolution,[],[f1359]) ).
fof(f1359,plain,
( ! [X0] :
( xq != X0
| sP0(xt,X0) )
| ~ spl5_133 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1448,plain,
( spl5_144
| ~ spl5_6
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f784,f705,f261,f1446]) ).
fof(f784,plain,
( ! [X18] :
( ~ aScalar0(X18)
| sdtpldt0(X18,xG) = sdtpldt0(xG,X18) )
| ~ spl5_6
| ~ spl5_89 ),
inference(resolution,[],[f706,f263]) ).
fof(f1444,plain,
( spl5_143
| ~ spl5_8
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f783,f705,f271,f1442]) ).
fof(f783,plain,
( ! [X17] :
( ~ aScalar0(X17)
| sdtpldt0(X17,xF) = sdtpldt0(xF,X17) )
| ~ spl5_8
| ~ spl5_89 ),
inference(resolution,[],[f706,f273]) ).
fof(f1440,plain,
( spl5_142
| ~ spl5_15
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f782,f705,f306,f1438]) ).
fof(f782,plain,
( ! [X16] :
( ~ aScalar0(X16)
| sdtpldt0(X16,xE) = sdtpldt0(xE,X16) )
| ~ spl5_15
| ~ spl5_89 ),
inference(resolution,[],[f706,f308]) ).
fof(f1436,plain,
( spl5_141
| ~ spl5_9
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f781,f705,f276,f1434]) ).
fof(f781,plain,
( ! [X15] :
( ~ aScalar0(X15)
| sdtpldt0(X15,xD) = sdtpldt0(xD,X15) )
| ~ spl5_9
| ~ spl5_89 ),
inference(resolution,[],[f706,f278]) ).
fof(f1432,plain,
( spl5_140
| ~ spl5_10
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f780,f705,f281,f1430]) ).
fof(f780,plain,
( ! [X14] :
( ~ aScalar0(X14)
| sdtpldt0(X14,xC) = sdtpldt0(xC,X14) )
| ~ spl5_10
| ~ spl5_89 ),
inference(resolution,[],[f706,f283]) ).
fof(f1428,plain,
( spl5_139
| ~ spl5_16
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f779,f705,f311,f1426]) ).
fof(f779,plain,
( ! [X13] :
( ~ aScalar0(X13)
| sdtpldt0(X13,xB) = sdtpldt0(xB,X13) )
| ~ spl5_16
| ~ spl5_89 ),
inference(resolution,[],[f706,f313]) ).
fof(f1424,plain,
( spl5_138
| ~ spl5_17
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f778,f705,f316,f1422]) ).
fof(f778,plain,
( ! [X12] :
( ~ aScalar0(X12)
| sdtpldt0(X12,xA) = sdtpldt0(xA,X12) )
| ~ spl5_17
| ~ spl5_89 ),
inference(resolution,[],[f706,f318]) ).
fof(f1401,plain,
( ~ spl5_3
| ~ spl5_39
| spl5_131 ),
inference(avatar_split_clause,[],[f1356,f1348,f438,f246]) ).
fof(f1356,plain,
( ~ aVector0(xp)
| ~ spl5_39
| spl5_131 ),
inference(resolution,[],[f1350,f439]) ).
fof(f1350,plain,
( ~ aNaturalNumber0(aDimensionOf0(xp))
| spl5_131 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1382,plain,
( spl5_137
| ~ spl5_23
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f597,f585,f346,f1380]) ).
fof(f1380,plain,
( spl5_137
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_137])]) ).
fof(f597,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) )
| ~ spl5_23
| ~ spl5_70 ),
inference(resolution,[],[f586,f347]) ).
fof(f1378,plain,
( spl5_136
| ~ spl5_23
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f596,f576,f346,f1376]) ).
fof(f1376,plain,
( spl5_136
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_136])]) ).
fof(f596,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) )
| ~ spl5_23
| ~ spl5_68 ),
inference(resolution,[],[f577,f347]) ).
fof(f1374,plain,
( spl5_135
| ~ spl5_23
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f593,f572,f346,f1372]) ).
fof(f1372,plain,
( spl5_135
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_135])]) ).
fof(f593,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) )
| ~ spl5_23
| ~ spl5_67 ),
inference(resolution,[],[f573,f347]) ).
fof(f1369,plain,
( ~ spl5_123
| spl5_134
| ~ spl5_22
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f641,f629,f341,f1367,f1288]) ).
fof(f1288,plain,
( spl5_123
<=> sP1(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_123])]) ).
fof(f629,plain,
( spl5_74
<=> ! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
fof(f641,plain,
( ! [X1] :
( xp != X1
| sP0(xs,X1)
| ~ sP1(xs) )
| ~ spl5_22
| ~ spl5_74 ),
inference(superposition,[],[f630,f343]) ).
fof(f630,plain,
( ! [X0,X1] :
( sziznziztdt0(X0) != X1
| sP0(X0,X1)
| ~ sP1(X0) )
| ~ spl5_74 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f1361,plain,
( ~ spl5_2
| ~ spl5_39
| spl5_129 ),
inference(avatar_split_clause,[],[f1346,f1338,f438,f241]) ).
fof(f1346,plain,
( ~ aVector0(xq)
| ~ spl5_39
| spl5_129 ),
inference(resolution,[],[f1340,f439]) ).
fof(f1340,plain,
( ~ aNaturalNumber0(aDimensionOf0(xq))
| spl5_129 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1360,plain,
( ~ spl5_118
| spl5_133
| ~ spl5_21
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f640,f629,f336,f1358,f1265]) ).
fof(f1265,plain,
( spl5_118
<=> sP1(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_118])]) ).
fof(f336,plain,
( spl5_21
<=> xq = sziznziztdt0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f640,plain,
( ! [X0] :
( xq != X0
| sP0(xt,X0)
| ~ sP1(xt) )
| ~ spl5_21
| ~ spl5_74 ),
inference(superposition,[],[f630,f338]) ).
fof(f338,plain,
( xq = sziznziztdt0(xt)
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f1355,plain,
( ~ spl5_131
| spl5_132
| ~ spl5_46
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f505,f488,f471,f1352,f1348]) ).
fof(f1352,plain,
( spl5_132
<=> iLess0(aDimensionOf0(xp),aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_132])]) ).
fof(f488,plain,
( spl5_49
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f505,plain,
( iLess0(aDimensionOf0(xp),aDimensionOf0(xt))
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ~ spl5_46
| ~ spl5_49 ),
inference(superposition,[],[f489,f473]) ).
fof(f489,plain,
( ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f1345,plain,
( ~ spl5_129
| spl5_130
| ~ spl5_44
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f504,f488,f461,f1342,f1338]) ).
fof(f1342,plain,
( spl5_130
<=> iLess0(aDimensionOf0(xq),aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_130])]) ).
fof(f504,plain,
( iLess0(aDimensionOf0(xq),aDimensionOf0(xt))
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ spl5_44
| ~ spl5_49 ),
inference(superposition,[],[f489,f463]) ).
fof(f1334,plain,
( spl5_128
| ~ spl5_18
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f624,f612,f321,f1331]) ).
fof(f1331,plain,
( spl5_128
<=> sdtlbdtrb0(xp,sz00) = sdtlbdtrb0(xs,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_128])]) ).
fof(f321,plain,
( spl5_18
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f624,plain,
( sdtlbdtrb0(xp,sz00) = sdtlbdtrb0(xs,sz00)
| ~ spl5_18
| ~ spl5_72 ),
inference(resolution,[],[f613,f323]) ).
fof(f323,plain,
( aNaturalNumber0(sz00)
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f1329,plain,
( spl5_127
| ~ spl5_34
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f937,f527,f413,f1326]) ).
fof(f1326,plain,
( spl5_127
<=> xA = sdtpldt0(xA,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_127])]) ).
fof(f937,plain,
( xA = sdtpldt0(xA,sz0z00)
| ~ spl5_34
| ~ spl5_57 ),
inference(resolution,[],[f415,f528]) ).
fof(f1324,plain,
( spl5_126
| ~ spl5_18
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f620,f608,f321,f1321]) ).
fof(f1321,plain,
( spl5_126
<=> sdtlbdtrb0(xq,sz00) = sdtlbdtrb0(xt,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_126])]) ).
fof(f620,plain,
( sdtlbdtrb0(xq,sz00) = sdtlbdtrb0(xt,sz00)
| ~ spl5_18
| ~ spl5_71 ),
inference(resolution,[],[f609,f323]) ).
fof(f1299,plain,
( spl5_125
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f814,f677,f1297]) ).
fof(f814,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_82 ),
inference(duplicate_literal_removal,[],[f813]) ).
fof(f813,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_82 ),
inference(equality_resolution,[],[f678]) ).
fof(f1295,plain,
( spl5_124
| ~ spl5_74 ),
inference(avatar_split_clause,[],[f642,f629,f1293]) ).
fof(f642,plain,
( ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl5_74 ),
inference(equality_resolution,[],[f630]) ).
fof(f1291,plain,
( spl5_123
| spl5_111
| ~ spl5_4
| ~ spl5_24
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f592,f556,f363,f251,f1210,f1288]) ).
fof(f556,plain,
( spl5_63
<=> ! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
fof(f592,plain,
( sz00 = aDimensionOf0(xt)
| sP1(xs)
| ~ spl5_4
| ~ spl5_24
| ~ spl5_63 ),
inference(forward_demodulation,[],[f588,f365]) ).
fof(f588,plain,
( sz00 = aDimensionOf0(xs)
| sP1(xs)
| ~ spl5_4
| ~ spl5_63 ),
inference(resolution,[],[f557,f253]) ).
fof(f253,plain,
( aVector0(xs)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f557,plain,
( ! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sP1(X0) )
| ~ spl5_63 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f1286,plain,
( spl5_121
| spl5_122
| ~ spl5_2
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f591,f556,f241,f1283,f1279]) ).
fof(f1279,plain,
( spl5_121
<=> sP1(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_121])]) ).
fof(f1283,plain,
( spl5_122
<=> sz00 = aDimensionOf0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_122])]) ).
fof(f591,plain,
( sz00 = aDimensionOf0(xq)
| sP1(xq)
| ~ spl5_2
| ~ spl5_63 ),
inference(resolution,[],[f557,f243]) ).
fof(f243,plain,
( aVector0(xq)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f1277,plain,
( spl5_119
| spl5_120
| ~ spl5_3
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f590,f556,f246,f1274,f1270]) ).
fof(f1270,plain,
( spl5_119
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_119])]) ).
fof(f1274,plain,
( spl5_120
<=> sz00 = aDimensionOf0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_120])]) ).
fof(f590,plain,
( sz00 = aDimensionOf0(xp)
| sP1(xp)
| ~ spl5_3
| ~ spl5_63 ),
inference(resolution,[],[f557,f248]) ).
fof(f248,plain,
( aVector0(xp)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f1268,plain,
( spl5_118
| spl5_111
| ~ spl5_5
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f589,f556,f256,f1210,f1265]) ).
fof(f589,plain,
( sz00 = aDimensionOf0(xt)
| sP1(xt)
| ~ spl5_5
| ~ spl5_63 ),
inference(resolution,[],[f557,f258]) ).
fof(f258,plain,
( aVector0(xt)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f1255,plain,
( spl5_117
| ~ spl5_23
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f459,f446,f346,f1253]) ).
fof(f1253,plain,
( spl5_117
<=> ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_117])]) ).
fof(f459,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) )
| ~ spl5_23
| ~ spl5_41 ),
inference(resolution,[],[f447,f347]) ).
fof(f1249,plain,
( ~ spl5_16
| spl5_116
| ~ spl5_26
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f549,f523,f373,f1246,f311]) ).
fof(f549,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB)
| ~ spl5_26
| ~ spl5_56 ),
inference(superposition,[],[f524,f375]) ).
fof(f1242,plain,
( ~ spl5_17
| spl5_115
| ~ spl5_28
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f548,f523,f383,f1239,f316]) ).
fof(f548,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA)
| ~ spl5_28
| ~ spl5_56 ),
inference(superposition,[],[f524,f385]) ).
fof(f1235,plain,
( ~ spl5_3
| spl5_114
| ~ spl5_30
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f547,f519,f393,f1232,f246]) ).
fof(f393,plain,
( spl5_30
<=> xC = sdtasasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f547,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp)
| ~ spl5_30
| ~ spl5_55 ),
inference(superposition,[],[f520,f395]) ).
fof(f395,plain,
( xC = sdtasasdt0(xp,xp)
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f1228,plain,
( ~ spl5_2
| spl5_113
| ~ spl5_29
| ~ spl5_55 ),
inference(avatar_split_clause,[],[f546,f519,f388,f1225,f241]) ).
fof(f388,plain,
( spl5_29
<=> xD = sdtasasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f546,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq)
| ~ spl5_29
| ~ spl5_55 ),
inference(superposition,[],[f520,f390]) ).
fof(f390,plain,
( xD = sdtasasdt0(xq,xq)
| ~ spl5_29 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f1218,plain,
( ~ spl5_4
| spl5_112
| ~ spl5_24
| ~ spl5_39 ),
inference(avatar_split_clause,[],[f458,f438,f363,f1215,f251]) ).
fof(f458,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ aVector0(xs)
| ~ spl5_24
| ~ spl5_39 ),
inference(superposition,[],[f439,f365]) ).
fof(f1213,plain,
( ~ spl5_111
| spl5_20
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f427,f363,f331,f1210]) ).
fof(f331,plain,
( spl5_20
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f427,plain,
( sz00 != aDimensionOf0(xt)
| spl5_20
| ~ spl5_24 ),
inference(superposition,[],[f333,f365]) ).
fof(f333,plain,
( sz00 != aDimensionOf0(xs)
| spl5_20 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f1198,plain,
( spl5_110
| ~ spl5_19
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f349,f346,f326,f1195]) ).
fof(f349,plain,
( sP2(sz0z00)
| ~ spl5_19
| ~ spl5_23 ),
inference(resolution,[],[f347,f328]) ).
fof(f1122,plain,
spl5_109,
inference(avatar_split_clause,[],[f209,f1120]) ).
fof(f209,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mDefSPN) ).
fof(f1094,plain,
spl5_108,
inference(avatar_split_clause,[],[f228,f1092]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mDistr2) ).
fof(f1086,plain,
spl5_107,
inference(avatar_split_clause,[],[f233,f1084]) ).
fof(f233,plain,
! [X0,X1] :
( ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xt))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(forward_demodulation,[],[f175,f138]) ).
fof(f138,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1678_01) ).
fof(f175,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1652) ).
fof(f1062,plain,
spl5_106,
inference(avatar_split_clause,[],[f230,f1060]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mLEMonM) ).
fof(f1057,plain,
spl5_105,
inference(avatar_split_clause,[],[f189,f1055]) ).
fof(f189,plain,
! [X0,X1] :
( sP0(X0,X1)
| sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
& aNaturalNumber0(sK3(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f130,f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
=> ( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
& aNaturalNumber0(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2)
& aNaturalNumber0(X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
& ( ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1051,plain,
spl5_104,
inference(avatar_split_clause,[],[f229,f1049]) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mLEMon) ).
fof(f1028,plain,
spl5_103,
inference(avatar_split_clause,[],[f218,f1026]) ).
fof(f1026,plain,
( spl5_103
<=> ! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_103])]) ).
fof(f218,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mSqrt) ).
fof(f1024,plain,
spl5_102,
inference(avatar_split_clause,[],[f208,f1022]) ).
fof(f208,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 != aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mEqInit) ).
fof(f986,plain,
spl5_101,
inference(avatar_split_clause,[],[f226,f984]) ).
fof(f226,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,[],[f113]) ).
fof(f113,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,[],[f112]) ).
fof(f112,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/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mDistr) ).
fof(f982,plain,
spl5_100,
inference(avatar_split_clause,[],[f225,f980]) ).
fof(f225,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,[],[f113]) ).
fof(f936,plain,
spl5_99,
inference(avatar_split_clause,[],[f234,f934]) ).
fof(f934,plain,
( spl5_99
<=> ! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_99])]) ).
fof(f234,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( sz00 = aDimensionOf0(X1)
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sz0z00 = sdtasasdt0(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mDefSPZ) ).
fof(f932,plain,
spl5_98,
inference(avatar_split_clause,[],[f223,f930]) ).
fof(f223,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,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,[],[f110]) ).
fof(f110,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/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mArith) ).
fof(f928,plain,
spl5_97,
inference(avatar_split_clause,[],[f221,f926]) ).
fof(f221,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f898,plain,
spl5_96,
inference(avatar_split_clause,[],[f227,f896]) ).
fof(f227,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mLETrn) ).
fof(f894,plain,
spl5_95,
inference(avatar_split_clause,[],[f220,f892]) ).
fof(f220,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mPosMon) ).
fof(f890,plain,
spl5_94,
inference(avatar_split_clause,[],[f219,f888]) ).
fof(f219,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f886,plain,
( spl5_93
| ~ spl5_13
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f361,f346,f296,f883]) ).
fof(f361,plain,
( sP2(xN)
| ~ spl5_13
| ~ spl5_23 ),
inference(resolution,[],[f347,f298]) ).
fof(f881,plain,
spl5_92,
inference(avatar_split_clause,[],[f188,f879]) ).
fof(f188,plain,
! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f793,plain,
( spl5_88
| spl5_91 ),
inference(avatar_split_clause,[],[f224,f791,f702]) ).
fof(f702,plain,
( spl5_88
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
fof(f224,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f770,plain,
( spl5_90
| ~ spl5_11
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f360,f346,f286,f767]) ).
fof(f360,plain,
( sP2(xS)
| ~ spl5_11
| ~ spl5_23 ),
inference(resolution,[],[f347,f288]) ).
fof(f734,plain,
( ~ spl5_19
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f708]) ).
fof(f708,plain,
( $false
| ~ spl5_19
| ~ spl5_88 ),
inference(resolution,[],[f703,f328]) ).
fof(f703,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_88 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f733,plain,
( ~ spl5_17
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl5_17
| ~ spl5_88 ),
inference(resolution,[],[f703,f318]) ).
fof(f732,plain,
( ~ spl5_16
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f711,plain,
( $false
| ~ spl5_16
| ~ spl5_88 ),
inference(resolution,[],[f703,f313]) ).
fof(f731,plain,
( ~ spl5_10
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| ~ spl5_10
| ~ spl5_88 ),
inference(resolution,[],[f703,f283]) ).
fof(f730,plain,
( ~ spl5_9
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl5_9
| ~ spl5_88 ),
inference(resolution,[],[f703,f278]) ).
fof(f729,plain,
( ~ spl5_15
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f714,plain,
( $false
| ~ spl5_15
| ~ spl5_88 ),
inference(resolution,[],[f703,f308]) ).
fof(f728,plain,
( ~ spl5_8
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl5_8
| ~ spl5_88 ),
inference(resolution,[],[f703,f273]) ).
fof(f727,plain,
( ~ spl5_6
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f716,plain,
( $false
| ~ spl5_6
| ~ spl5_88 ),
inference(resolution,[],[f703,f263]) ).
fof(f726,plain,
( ~ spl5_7
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f717,plain,
( $false
| ~ spl5_7
| ~ spl5_88 ),
inference(resolution,[],[f703,f268]) ).
fof(f725,plain,
( ~ spl5_12
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f718,plain,
( $false
| ~ spl5_12
| ~ spl5_88 ),
inference(resolution,[],[f703,f293]) ).
fof(f724,plain,
( ~ spl5_14
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f719,plain,
( $false
| ~ spl5_14
| ~ spl5_88 ),
inference(resolution,[],[f703,f303]) ).
fof(f723,plain,
( ~ spl5_11
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl5_11
| ~ spl5_88 ),
inference(resolution,[],[f703,f288]) ).
fof(f722,plain,
( ~ spl5_13
| ~ spl5_88 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| ~ spl5_13
| ~ spl5_88 ),
inference(resolution,[],[f703,f298]) ).
fof(f707,plain,
( spl5_88
| spl5_89 ),
inference(avatar_split_clause,[],[f222,f705,f702]) ).
fof(f222,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f700,plain,
spl5_87,
inference(avatar_split_clause,[],[f217,f698]) ).
fof(f217,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mLEASm) ).
fof(f696,plain,
( spl5_86
| ~ spl5_14
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f359,f346,f301,f693]) ).
fof(f359,plain,
( sP2(xP)
| ~ spl5_14
| ~ spl5_23 ),
inference(resolution,[],[f347,f303]) ).
fof(f691,plain,
spl5_85,
inference(avatar_split_clause,[],[f215,f689]) ).
fof(f215,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mMNeg) ).
fof(f687,plain,
spl5_84,
inference(avatar_split_clause,[],[f214,f685]) ).
fof(f214,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f683,plain,
spl5_83,
inference(avatar_split_clause,[],[f213,f681]) ).
fof(f213,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mMDNeg) ).
fof(f679,plain,
spl5_82,
inference(avatar_split_clause,[],[f207,f677]) ).
fof(f207,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mScPr) ).
fof(f669,plain,
spl5_81,
inference(avatar_split_clause,[],[f205,f667]) ).
fof(f205,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mSuccEqu) ).
fof(f665,plain,
spl5_80,
inference(avatar_split_clause,[],[f187,f663]) ).
fof(f663,plain,
( spl5_80
<=> ! [X0,X1,X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f187,plain,
! [X3,X0,X1] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f655,plain,
( spl5_79
| ~ spl5_12
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f358,f346,f291,f652]) ).
fof(f358,plain,
( sP2(xR)
| ~ spl5_12
| ~ spl5_23 ),
inference(resolution,[],[f347,f293]) ).
fof(f650,plain,
spl5_78,
inference(avatar_split_clause,[],[f216,f648]) ).
fof(f216,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mLETot) ).
fof(f646,plain,
spl5_77,
inference(avatar_split_clause,[],[f204,f644]) ).
fof(f204,plain,
! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f81,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,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/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mNatExtr) ).
fof(f639,plain,
spl5_76,
inference(avatar_split_clause,[],[f186,f637]) ).
fof(f637,plain,
( spl5_76
<=> ! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
fof(f186,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f635,plain,
spl5_75,
inference(avatar_split_clause,[],[f184,f633]) ).
fof(f633,plain,
( spl5_75
<=> ! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
fof(f184,plain,
! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f631,plain,
spl5_74,
inference(avatar_split_clause,[],[f183,f629]) ).
fof(f183,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f619,plain,
( spl5_73
| ~ spl5_7
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f357,f346,f266,f616]) ).
fof(f357,plain,
( sP2(xH)
| ~ spl5_7
| ~ spl5_23 ),
inference(resolution,[],[f347,f268]) ).
fof(f614,plain,
spl5_72,
inference(avatar_split_clause,[],[f147,f612]) ).
fof(f147,plain,
! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( xp = sziznziztdt0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
& aVector0(xp) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1709) ).
fof(f610,plain,
spl5_71,
inference(avatar_split_clause,[],[f143,f608]) ).
fof(f143,plain,
! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( xq = sziznziztdt0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
& aVector0(xq) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1726) ).
fof(f587,plain,
spl5_70,
inference(avatar_split_clause,[],[f212,f585]) ).
fof(f212,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,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/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mMulSc) ).
fof(f583,plain,
( spl5_69
| ~ spl5_6
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f356,f346,f261,f580]) ).
fof(f356,plain,
( sP2(xG)
| ~ spl5_6
| ~ spl5_23 ),
inference(resolution,[],[f347,f263]) ).
fof(f578,plain,
spl5_68,
inference(avatar_split_clause,[],[f211,f576]) ).
fof(f211,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,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/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mSumSc) ).
fof(f574,plain,
spl5_67,
inference(avatar_split_clause,[],[f206,f572]) ).
fof(f206,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mElmSc) ).
fof(f570,plain,
spl5_66,
inference(avatar_split_clause,[],[f203,f568]) ).
fof(f203,plain,
! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f566,plain,
spl5_65,
inference(avatar_split_clause,[],[f199,f564]) ).
fof(f199,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,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 )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,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 )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f562,plain,
spl5_64,
inference(avatar_split_clause,[],[f198,f560]) ).
fof(f198,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f558,plain,
spl5_63,
inference(avatar_split_clause,[],[f190,f556]) ).
fof(f190,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f75,f123,f122]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2)
| ~ aNaturalNumber0(X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) )
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( sz00 != aDimensionOf0(X0)
=> ! [X1] :
( sziznziztdt0(X0) = X1
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mDefInit) ).
fof(f554,plain,
( spl5_62
| ~ spl5_8
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f355,f346,f271,f551]) ).
fof(f355,plain,
( sP2(xF)
| ~ spl5_8
| ~ spl5_23 ),
inference(resolution,[],[f347,f273]) ).
fof(f545,plain,
spl5_61,
inference(avatar_split_clause,[],[f200,f543]) ).
fof(f200,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f541,plain,
spl5_60,
inference(avatar_split_clause,[],[f197,f539]) ).
fof(f197,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f537,plain,
spl5_59,
inference(avatar_split_clause,[],[f196,f535]) ).
fof(f196,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f533,plain,
spl5_58,
inference(avatar_split_clause,[],[f195,f531]) ).
fof(f195,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f529,plain,
spl5_57,
inference(avatar_split_clause,[],[f194,f527]) ).
fof(f194,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f525,plain,
spl5_56,
inference(avatar_split_clause,[],[f193,f523]) ).
fof(f193,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mSqPos) ).
fof(f521,plain,
spl5_55,
inference(avatar_split_clause,[],[f182,f519]) ).
fof(f182,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mScSqPos) ).
fof(f517,plain,
( spl5_54
| ~ spl5_15
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f354,f346,f306,f514]) ).
fof(f354,plain,
( sP2(xE)
| ~ spl5_15
| ~ spl5_23 ),
inference(resolution,[],[f347,f308]) ).
fof(f512,plain,
spl5_53,
inference(avatar_split_clause,[],[f140,f509]) ).
fof(f140,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1967) ).
fof(f502,plain,
( spl5_51
| spl5_52 ),
inference(avatar_split_clause,[],[f201,f499,f496]) ).
fof(f201,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f494,plain,
spl5_50,
inference(avatar_split_clause,[],[f180,f492]) ).
fof(f492,plain,
( spl5_50
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f180,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,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/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mSuccNat) ).
fof(f490,plain,
spl5_49,
inference(avatar_split_clause,[],[f178,f488]) ).
fof(f178,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mIH) ).
fof(f485,plain,
( spl5_48
| ~ spl5_9
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f353,f346,f276,f482]) ).
fof(f353,plain,
( sP2(xD)
| ~ spl5_9
| ~ spl5_23 ),
inference(resolution,[],[f347,f278]) ).
fof(f479,plain,
spl5_47,
inference(avatar_split_clause,[],[f232,f476]) ).
fof(f232,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xt)),
inference(forward_demodulation,[],[f174,f138]) ).
fof(f174,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1746) ).
fof(f474,plain,
spl5_46,
inference(avatar_split_clause,[],[f231,f471]) ).
fof(f231,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp)),
inference(forward_demodulation,[],[f146,f138]) ).
fof(f146,plain,
aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp)),
inference(cnf_transformation,[],[f67]) ).
fof(f469,plain,
spl5_45,
inference(avatar_split_clause,[],[f172,f466]) ).
fof(f172,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1766) ).
fof(f464,plain,
spl5_44,
inference(avatar_split_clause,[],[f142,f461]) ).
fof(f142,plain,
aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)),
inference(cnf_transformation,[],[f66]) ).
fof(f457,plain,
( spl5_43
| ~ spl5_10
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f352,f346,f281,f454]) ).
fof(f352,plain,
( sP2(xC)
| ~ spl5_10
| ~ spl5_23 ),
inference(resolution,[],[f347,f283]) ).
fof(f452,plain,
spl5_42,
inference(avatar_split_clause,[],[f192,f450]) ).
fof(f450,plain,
( spl5_42
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f192,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mLERef) ).
fof(f448,plain,
spl5_41,
inference(avatar_split_clause,[],[f191,f446]) ).
fof(f191,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mNegSc) ).
fof(f444,plain,
spl5_40,
inference(avatar_split_clause,[],[f185,f442]) ).
fof(f185,plain,
! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f440,plain,
spl5_39,
inference(avatar_split_clause,[],[f181,f438]) ).
fof(f181,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mDimNat) ).
fof(f436,plain,
spl5_38,
inference(avatar_split_clause,[],[f179,f434]) ).
fof(f179,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f432,plain,
( spl5_37
| ~ spl5_16
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f351,f346,f311,f429]) ).
fof(f351,plain,
( sP2(xB)
| ~ spl5_16
| ~ spl5_23 ),
inference(resolution,[],[f347,f313]) ).
fof(f426,plain,
spl5_36,
inference(avatar_split_clause,[],[f170,f423]) ).
fof(f423,plain,
( spl5_36
<=> xE = sdtasasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f170,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1820) ).
fof(f421,plain,
spl5_35,
inference(avatar_split_clause,[],[f168,f418]) ).
fof(f168,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1911) ).
fof(f416,plain,
( spl5_34
| ~ spl5_17
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f350,f346,f316,f413]) ).
fof(f350,plain,
( sP2(xA)
| ~ spl5_17
| ~ spl5_23 ),
inference(resolution,[],[f347,f318]) ).
fof(f411,plain,
spl5_33,
inference(avatar_split_clause,[],[f166,f408]) ).
fof(f166,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1949) ).
fof(f406,plain,
spl5_32,
inference(avatar_split_clause,[],[f164,f403]) ).
fof(f164,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1892) ).
fof(f401,plain,
spl5_31,
inference(avatar_split_clause,[],[f162,f398]) ).
fof(f162,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1930) ).
fof(f396,plain,
spl5_30,
inference(avatar_split_clause,[],[f160,f393]) ).
fof(f160,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1783) ).
fof(f391,plain,
spl5_29,
inference(avatar_split_clause,[],[f158,f388]) ).
fof(f158,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1800) ).
fof(f386,plain,
spl5_28,
inference(avatar_split_clause,[],[f156,f383]) ).
fof(f156,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1837) ).
fof(f381,plain,
spl5_27,
inference(avatar_split_clause,[],[f154,f378]) ).
fof(f154,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1873) ).
fof(f376,plain,
spl5_26,
inference(avatar_split_clause,[],[f152,f373]) ).
fof(f152,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1854) ).
fof(f371,plain,
spl5_25,
inference(avatar_split_clause,[],[f139,f368]) ).
fof(f139,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__2004) ).
fof(f366,plain,
spl5_24,
inference(avatar_split_clause,[],[f138,f363]) ).
fof(f348,plain,
spl5_23,
inference(avatar_split_clause,[],[f202,f346]) ).
fof(f202,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f79,f125]) ).
fof(f79,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/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mScZero) ).
fof(f344,plain,
spl5_22,
inference(avatar_split_clause,[],[f148,f341]) ).
fof(f148,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f67]) ).
fof(f339,plain,
spl5_21,
inference(avatar_split_clause,[],[f144,f336]) ).
fof(f144,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f66]) ).
fof(f334,plain,
~ spl5_20,
inference(avatar_split_clause,[],[f137,f331]) ).
fof(f137,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
sz00 != aDimensionOf0(xs),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1692) ).
fof(f329,plain,
spl5_19,
inference(avatar_split_clause,[],[f177,f326]) ).
fof(f177,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mSZeroSc) ).
fof(f324,plain,
spl5_18,
inference(avatar_split_clause,[],[f176,f321]) ).
fof(f176,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',mZeroNat) ).
fof(f319,plain,
spl5_17,
inference(avatar_split_clause,[],[f173,f316]) ).
fof(f173,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f314,plain,
spl5_16,
inference(avatar_split_clause,[],[f171,f311]) ).
fof(f171,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f309,plain,
spl5_15,
inference(avatar_split_clause,[],[f169,f306]) ).
fof(f169,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f304,plain,
spl5_14,
inference(avatar_split_clause,[],[f167,f301]) ).
fof(f167,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f299,plain,
spl5_13,
inference(avatar_split_clause,[],[f165,f296]) ).
fof(f165,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f294,plain,
spl5_12,
inference(avatar_split_clause,[],[f163,f291]) ).
fof(f163,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f289,plain,
spl5_11,
inference(avatar_split_clause,[],[f161,f286]) ).
fof(f161,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f284,plain,
spl5_10,
inference(avatar_split_clause,[],[f159,f281]) ).
fof(f159,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f279,plain,
spl5_9,
inference(avatar_split_clause,[],[f157,f276]) ).
fof(f157,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f274,plain,
spl5_8,
inference(avatar_split_clause,[],[f155,f271]) ).
fof(f155,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f269,plain,
spl5_7,
inference(avatar_split_clause,[],[f153,f266]) ).
fof(f153,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f264,plain,
spl5_6,
inference(avatar_split_clause,[],[f151,f261]) ).
fof(f151,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f259,plain,
spl5_5,
inference(avatar_split_clause,[],[f150,f256]) ).
fof(f150,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__1678) ).
fof(f254,plain,
spl5_4,
inference(avatar_split_clause,[],[f149,f251]) ).
fof(f149,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f249,plain,
spl5_3,
inference(avatar_split_clause,[],[f145,f246]) ).
fof(f145,plain,
aVector0(xp),
inference(cnf_transformation,[],[f67]) ).
fof(f244,plain,
spl5_2,
inference(avatar_split_clause,[],[f141,f241]) ).
fof(f141,plain,
aVector0(xq),
inference(cnf_transformation,[],[f66]) ).
fof(f239,plain,
~ spl5_1,
inference(avatar_split_clause,[],[f136,f236]) ).
fof(f136,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(flattening,[],[f59]) ).
fof(f59,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(negated_conjecture,[],[f58]) ).
fof(f58,conjecture,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
file('/export/starexec/sandbox/tmp/tmp.DpanPRse31/Vampire---4.8_31296',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n031.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 : Wed Aug 30 16:30:27 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (31404)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (31408)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (31405)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (31406)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (31407)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (31409)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (31410)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (31411)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 TRYING [3]
% 0.22/0.49 TRYING [4]
% 0.22/0.50 TRYING [4]
% 1.59/0.62 TRYING [5]
% 1.59/0.62 TRYING [5]
% 2.46/0.75 % (31409)First to succeed.
% 2.46/0.76 % (31409)Refutation found. Thanks to Tanya!
% 2.46/0.76 % SZS status Theorem for Vampire---4
% 2.46/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 2.46/0.78 % (31409)------------------------------
% 2.46/0.78 % (31409)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.46/0.78 % (31409)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.46/0.78 % (31409)Termination reason: Refutation
% 2.46/0.78
% 2.46/0.78 % (31409)Memory used [KB]: 17014
% 2.46/0.78 % (31409)Time elapsed: 0.336 s
% 2.46/0.78 % (31409)------------------------------
% 2.46/0.78 % (31409)------------------------------
% 2.46/0.78 % (31404)Success in time 0.397 s
% 2.46/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------