TSTP Solution File: RNG059+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG059+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:55:48 EDT 2024
% Result : Theorem 1.97s 0.71s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 703
% Syntax : Number of formulae : 2361 ( 136 unt; 0 def)
% Number of atoms : 7973 (1508 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 10359 (4747 ~;4776 |; 138 &)
% ( 650 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 655 ( 653 usr; 646 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 1448 (1440 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12377,plain,
$false,
inference(avatar_sat_refutation,[],[f233,f238,f243,f248,f253,f258,f263,f268,f273,f278,f283,f288,f293,f298,f303,f308,f313,f318,f323,f328,f333,f338,f342,f360,f365,f370,f375,f380,f385,f390,f395,f400,f405,f410,f415,f420,f426,f430,f434,f438,f442,f446,f451,f458,f463,f467,f471,f476,f484,f489,f497,f501,f505,f510,f514,f518,f522,f526,f530,f539,f543,f547,f551,f555,f559,f563,f567,f577,f595,f599,f607,f611,f615,f625,f629,f636,f640,f645,f649,f653,f657,f664,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f716,f750,f829,f843,f847,f851,f855,f883,f888,f892,f896,f935,f939,f977,f988,f1004,f1010,f1015,f1039,f1054,f1075,f1158,f1173,f1178,f1188,f1197,f1202,f1209,f1216,f1223,f1229,f1233,f1245,f1258,f1267,f1268,f1277,f1294,f1299,f1303,f1307,f1343,f1347,f1351,f1355,f1359,f1364,f1368,f1372,f1376,f1380,f1384,f1388,f1392,f1396,f1400,f1404,f1409,f1413,f1417,f1421,f1425,f1429,f1433,f1437,f1441,f1445,f1469,f1664,f1868,f1930,f1934,f1938,f2009,f2027,f2028,f2029,f2030,f2031,f2032,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2249,f2391,f2544,f2741,f2944,f3008,f3073,f3077,f3081,f3085,f3089,f3094,f3098,f3102,f3106,f3110,f3114,f3118,f3122,f3126,f3130,f3134,f3139,f3143,f3147,f3151,f3155,f3159,f3163,f3167,f3171,f3175,f3179,f3184,f3188,f3192,f3196,f3200,f3204,f3208,f3212,f3216,f3220,f3224,f3229,f3233,f3478,f3741,f3998,f4191,f4196,f4201,f4206,f4210,f4259,f4269,f4276,f4292,f4303,f4310,f4317,f4323,f4327,f4332,f4336,f4340,f4394,f4398,f4402,f4407,f4411,f4415,f4419,f4423,f4427,f4431,f4435,f4439,f4443,f4447,f4452,f4456,f4460,f4464,f4468,f4472,f4476,f4480,f4484,f4488,f4492,f4497,f4501,f4505,f4710,f4958,f5114,f5118,f5122,f5126,f5131,f5135,f5139,f5318,f5321,f5500,f5515,f5524,f5528,f5532,f5537,f5541,f5545,f5549,f5553,f5557,f5561,f5565,f5569,f5573,f5577,f5588,f5592,f5596,f5600,f5604,f5608,f5612,f5616,f5620,f5624,f5629,f5633,f5881,f6153,f6290,f6294,f6298,f6302,f6306,f6311,f6315,f6319,f6323,f6448,f6486,f6496,f6506,f6518,f6533,f6538,f6546,f6554,f6558,f6562,f6566,f6570,f6574,f6578,f6583,f6587,f6591,f6595,f6599,f6690,f6785,f6792,f6805,f7046,f7062,f7087,f7105,f7123,f7124,f7406,f7415,f7431,f7448,f7452,f7468,f7484,f7500,f7512,f7539,f7543,f7547,f7551,f7555,f7559,f7563,f7668,f7672,f7676,f7680,f7755,f7763,f7780,f7807,f7817,f7821,f7826,f7830,f7881,f7897,f7916,f7921,f7925,f7932,f7936,f7940,f7944,f7948,f7952,f7956,f7960,f7965,f7969,f7973,f7977,f7981,f8165,f8356,f8400,f8404,f8409,f8447,f8461,f8499,f8503,f8507,f8511,f8516,f8602,f8607,f8612,f8617,f8622,f8627,f8632,f8637,f8642,f8647,f8652,f8657,f8662,f8667,f8672,f8677,f8682,f8687,f8692,f8697,f8784,f8789,f8794,f8799,f8804,f9794,f9799,f9804,f9874,f9879,f9884,f9889,f9894,f9899,f9904,f9909,f9914,f9919,f9924,f9929,f9934,f9939,f9944,f9949,f9954,f9959,f9964,f9969,f9974,f9979,f9984,f9989,f9994,f9999,f10004,f10009,f10014,f10019,f10024,f10029,f10034,f10039,f10044,f10049,f10054,f10059,f10064,f10069,f10074,f10079,f10084,f10089,f10094,f10099,f10104,f10109,f10114,f10119,f10124,f10405,f10686,f10791,f11540,f11546,f11551,f11565,f11570,f11575,f11580,f11585,f11590,f11595,f11600,f11605,f11610,f11615,f11620,f11625,f11630,f11635,f11640,f11645,f11650,f11655,f11660,f11665,f11670,f11675,f11680,f11685,f11690,f11695,f11700,f11705,f11710,f11715,f11720,f11725,f11730,f11735,f11740,f11745,f11750,f11755,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,f12376]) ).
fof(f12376,plain,
( spl5_1
| ~ spl5_11
| ~ spl5_33
| ~ spl5_150
| ~ spl5_202 ),
inference(avatar_split_clause,[],[f4113,f3214,f1431,f402,f280,f230]) ).
fof(f230,plain,
( spl5_1
<=> sdtasdt0(smndt0(xS),xR) = smndt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f280,plain,
( spl5_11
<=> aScalar0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f402,plain,
( spl5_33
<=> xN = sdtasdt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f1431,plain,
( spl5_150
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_150])]) ).
fof(f3214,plain,
( spl5_202
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_202])]) ).
fof(f4113,plain,
( sdtasdt0(smndt0(xS),xR) = smndt0(xN)
| ~ spl5_11
| ~ spl5_33
| ~ spl5_150
| ~ spl5_202 ),
inference(forward_demodulation,[],[f4105,f1863]) ).
fof(f1863,plain,
( xN = sdtasdt0(xS,xR)
| ~ spl5_11
| ~ spl5_33
| ~ spl5_150 ),
inference(forward_demodulation,[],[f1860,f404]) ).
fof(f404,plain,
( xN = sdtasdt0(xR,xS)
| ~ spl5_33 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f1860,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl5_11
| ~ spl5_150 ),
inference(resolution,[],[f1432,f282]) ).
fof(f282,plain,
( aScalar0(xS)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f1432,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl5_150 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f4105,plain,
( sdtasdt0(smndt0(xS),xR) = smndt0(sdtasdt0(xS,xR))
| ~ spl5_11
| ~ spl5_202 ),
inference(resolution,[],[f3215,f282]) ).
fof(f3215,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR) )
| ~ spl5_202 ),
inference(avatar_component_clause,[],[f3214]) ).
fof(f12375,plain,
( spl5_645
| ~ spl5_15
| ~ spl5_35
| ~ spl5_201 ),
inference(avatar_split_clause,[],[f4084,f3210,f412,f300,f12372]) ).
fof(f12372,plain,
( spl5_645
<=> smndt0(xP) = sdtasdt0(smndt0(xE),xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_645])]) ).
fof(f300,plain,
( spl5_15
<=> aScalar0(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f412,plain,
( spl5_35
<=> xP = sdtasdt0(xE,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f3210,plain,
( spl5_201
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_201])]) ).
fof(f4084,plain,
( smndt0(xP) = sdtasdt0(smndt0(xE),xH)
| ~ spl5_15
| ~ spl5_35
| ~ spl5_201 ),
inference(forward_demodulation,[],[f4070,f414]) ).
fof(f414,plain,
( xP = sdtasdt0(xE,xH)
| ~ spl5_35 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f4070,plain,
( smndt0(sdtasdt0(xE,xH)) = sdtasdt0(smndt0(xE),xH)
| ~ spl5_15
| ~ spl5_201 ),
inference(resolution,[],[f3211,f302]) ).
fof(f302,plain,
( aScalar0(xE)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f3211,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH) )
| ~ spl5_201 ),
inference(avatar_component_clause,[],[f3210]) ).
fof(f12370,plain,
( spl5_644
| ~ spl5_10
| ~ spl5_32
| ~ spl5_200 ),
inference(avatar_split_clause,[],[f4052,f3206,f397,f275,f12367]) ).
fof(f12367,plain,
( spl5_644
<=> smndt0(xR) = sdtasdt0(smndt0(xC),xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_644])]) ).
fof(f275,plain,
( spl5_10
<=> aScalar0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f397,plain,
( spl5_32
<=> xR = sdtasdt0(xC,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f3206,plain,
( spl5_200
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_200])]) ).
fof(f4052,plain,
( smndt0(xR) = sdtasdt0(smndt0(xC),xG)
| ~ spl5_10
| ~ spl5_32
| ~ spl5_200 ),
inference(forward_demodulation,[],[f4038,f399]) ).
fof(f399,plain,
( xR = sdtasdt0(xC,xG)
| ~ spl5_32 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f4038,plain,
( smndt0(sdtasdt0(xC,xG)) = sdtasdt0(smndt0(xC),xG)
| ~ spl5_10
| ~ spl5_200 ),
inference(resolution,[],[f3207,f277]) ).
fof(f277,plain,
( aScalar0(xC)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f3207,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG) )
| ~ spl5_200 ),
inference(avatar_component_clause,[],[f3206]) ).
fof(f12365,plain,
( spl5_643
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_145
| ~ spl5_199 ),
inference(avatar_split_clause,[],[f4022,f3202,f1411,f392,f270,f265,f12362]) ).
fof(f12362,plain,
( spl5_643
<=> smndt0(xS) = sdtasdt0(smndt0(xD),xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_643])]) ).
fof(f265,plain,
( spl5_8
<=> aScalar0(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f270,plain,
( spl5_9
<=> aScalar0(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f392,plain,
( spl5_31
<=> xS = sdtasdt0(xF,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f1411,plain,
( spl5_145
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_145])]) ).
fof(f3202,plain,
( spl5_199
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_199])]) ).
fof(f4022,plain,
( smndt0(xS) = sdtasdt0(smndt0(xD),xF)
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_145
| ~ spl5_199 ),
inference(forward_demodulation,[],[f4008,f1763]) ).
fof(f1763,plain,
( xS = sdtasdt0(xD,xF)
| ~ spl5_8
| ~ spl5_31
| ~ spl5_145 ),
inference(forward_demodulation,[],[f1755,f394]) ).
fof(f394,plain,
( xS = sdtasdt0(xF,xD)
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f1755,plain,
( sdtasdt0(xF,xD) = sdtasdt0(xD,xF)
| ~ spl5_8
| ~ spl5_145 ),
inference(resolution,[],[f1412,f267]) ).
fof(f267,plain,
( aScalar0(xF)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f1412,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) )
| ~ spl5_145 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f4008,plain,
( smndt0(sdtasdt0(xD,xF)) = sdtasdt0(smndt0(xD),xF)
| ~ spl5_9
| ~ spl5_199 ),
inference(resolution,[],[f3203,f272]) ).
fof(f272,plain,
( aScalar0(xD)
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f3203,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF) )
| ~ spl5_199 ),
inference(avatar_component_clause,[],[f3202]) ).
fof(f12360,plain,
( spl5_642
| ~ spl5_7
| ~ spl5_35
| ~ spl5_146
| ~ spl5_198 ),
inference(avatar_split_clause,[],[f3993,f3198,f1415,f412,f260,f12357]) ).
fof(f12357,plain,
( spl5_642
<=> smndt0(xP) = sdtasdt0(smndt0(xH),xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_642])]) ).
fof(f260,plain,
( spl5_7
<=> aScalar0(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f1415,plain,
( spl5_146
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_146])]) ).
fof(f3198,plain,
( spl5_198
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_198])]) ).
fof(f3993,plain,
( smndt0(xP) = sdtasdt0(smndt0(xH),xE)
| ~ spl5_7
| ~ spl5_35
| ~ spl5_146
| ~ spl5_198 ),
inference(forward_demodulation,[],[f3986,f1783]) ).
fof(f1783,plain,
( xP = sdtasdt0(xH,xE)
| ~ spl5_7
| ~ spl5_35
| ~ spl5_146 ),
inference(forward_demodulation,[],[f1777,f414]) ).
fof(f1777,plain,
( sdtasdt0(xE,xH) = sdtasdt0(xH,xE)
| ~ spl5_7
| ~ spl5_146 ),
inference(resolution,[],[f1416,f262]) ).
fof(f262,plain,
( aScalar0(xH)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f1416,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) )
| ~ spl5_146 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f3986,plain,
( smndt0(sdtasdt0(xH,xE)) = sdtasdt0(smndt0(xH),xE)
| ~ spl5_7
| ~ spl5_198 ),
inference(resolution,[],[f3199,f262]) ).
fof(f3199,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE) )
| ~ spl5_198 ),
inference(avatar_component_clause,[],[f3198]) ).
fof(f12355,plain,
( spl5_641
| ~ spl5_8
| ~ spl5_31
| ~ spl5_197 ),
inference(avatar_split_clause,[],[f3968,f3194,f392,f265,f12352]) ).
fof(f12352,plain,
( spl5_641
<=> smndt0(xS) = sdtasdt0(smndt0(xF),xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_641])]) ).
fof(f3194,plain,
( spl5_197
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_197])]) ).
fof(f3968,plain,
( smndt0(xS) = sdtasdt0(smndt0(xF),xD)
| ~ spl5_8
| ~ spl5_31
| ~ spl5_197 ),
inference(forward_demodulation,[],[f3956,f394]) ).
fof(f3956,plain,
( smndt0(sdtasdt0(xF,xD)) = sdtasdt0(smndt0(xF),xD)
| ~ spl5_8
| ~ spl5_197 ),
inference(resolution,[],[f3195,f267]) ).
fof(f3195,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD) )
| ~ spl5_197 ),
inference(avatar_component_clause,[],[f3194]) ).
fof(f12350,plain,
( spl5_640
| ~ spl5_6
| ~ spl5_32
| ~ spl5_143
| ~ spl5_196 ),
inference(avatar_split_clause,[],[f3940,f3190,f1402,f397,f255,f12347]) ).
fof(f12347,plain,
( spl5_640
<=> smndt0(xR) = sdtasdt0(smndt0(xG),xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_640])]) ).
fof(f255,plain,
( spl5_6
<=> aScalar0(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f1402,plain,
( spl5_143
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_143])]) ).
fof(f3190,plain,
( spl5_196
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_196])]) ).
fof(f3940,plain,
( smndt0(xR) = sdtasdt0(smndt0(xG),xC)
| ~ spl5_6
| ~ spl5_32
| ~ spl5_143
| ~ spl5_196 ),
inference(forward_demodulation,[],[f3928,f1743]) ).
fof(f1743,plain,
( xR = sdtasdt0(xG,xC)
| ~ spl5_6
| ~ spl5_32
| ~ spl5_143 ),
inference(forward_demodulation,[],[f1736,f399]) ).
fof(f1736,plain,
( sdtasdt0(xC,xG) = sdtasdt0(xG,xC)
| ~ spl5_6
| ~ spl5_143 ),
inference(resolution,[],[f1403,f257]) ).
fof(f257,plain,
( aScalar0(xG)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f1403,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) )
| ~ spl5_143 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f3928,plain,
( smndt0(sdtasdt0(xG,xC)) = sdtasdt0(smndt0(xG),xC)
| ~ spl5_6
| ~ spl5_196 ),
inference(resolution,[],[f3191,f257]) ).
fof(f3191,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC) )
| ~ spl5_196 ),
inference(avatar_component_clause,[],[f3190]) ).
fof(f12345,plain,
( spl5_639
| ~ spl5_16
| ~ spl5_26
| ~ spl5_195 ),
inference(avatar_split_clause,[],[f3914,f3186,f367,f305,f12342]) ).
fof(f12342,plain,
( spl5_639
<=> smndt0(xG) = sdtasdt0(smndt0(xB),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_639])]) ).
fof(f305,plain,
( spl5_16
<=> aScalar0(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f367,plain,
( spl5_26
<=> xG = sdtasdt0(xB,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f3186,plain,
( spl5_195
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_195])]) ).
fof(f3914,plain,
( smndt0(xG) = sdtasdt0(smndt0(xB),xB)
| ~ spl5_16
| ~ spl5_26
| ~ spl5_195 ),
inference(forward_demodulation,[],[f3900,f369]) ).
fof(f369,plain,
( xG = sdtasdt0(xB,xB)
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f3900,plain,
( smndt0(sdtasdt0(xB,xB)) = sdtasdt0(smndt0(xB),xB)
| ~ spl5_16
| ~ spl5_195 ),
inference(resolution,[],[f3187,f307]) ).
fof(f307,plain,
( aScalar0(xB)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f3187,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB) )
| ~ spl5_195 ),
inference(avatar_component_clause,[],[f3186]) ).
fof(f12340,plain,
( spl5_638
| ~ spl5_17
| ~ spl5_27
| ~ spl5_195 ),
inference(avatar_split_clause,[],[f3913,f3186,f372,f310,f12337]) ).
fof(f12337,plain,
( spl5_638
<=> smndt0(xH) = sdtasdt0(smndt0(xA),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_638])]) ).
fof(f310,plain,
( spl5_17
<=> aScalar0(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f372,plain,
( spl5_27
<=> xH = sdtasdt0(xA,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f3913,plain,
( smndt0(xH) = sdtasdt0(smndt0(xA),xB)
| ~ spl5_17
| ~ spl5_27
| ~ spl5_195 ),
inference(forward_demodulation,[],[f3899,f374]) ).
fof(f374,plain,
( xH = sdtasdt0(xA,xB)
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f3899,plain,
( smndt0(sdtasdt0(xA,xB)) = sdtasdt0(smndt0(xA),xB)
| ~ spl5_17
| ~ spl5_195 ),
inference(resolution,[],[f3187,f312]) ).
fof(f312,plain,
( aScalar0(xA)
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f12335,plain,
( spl5_637
| ~ spl5_16
| ~ spl5_27
| ~ spl5_141
| ~ spl5_193 ),
inference(avatar_split_clause,[],[f3891,f3177,f1394,f372,f305,f12332]) ).
fof(f12332,plain,
( spl5_637
<=> smndt0(xH) = sdtasdt0(smndt0(xB),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_637])]) ).
fof(f1394,plain,
( spl5_141
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_141])]) ).
fof(f3177,plain,
( spl5_193
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_193])]) ).
fof(f3891,plain,
( smndt0(xH) = sdtasdt0(smndt0(xB),xA)
| ~ spl5_16
| ~ spl5_27
| ~ spl5_141
| ~ spl5_193 ),
inference(forward_demodulation,[],[f3877,f1703]) ).
fof(f1703,plain,
( xH = sdtasdt0(xB,xA)
| ~ spl5_16
| ~ spl5_27
| ~ spl5_141 ),
inference(forward_demodulation,[],[f1691,f374]) ).
fof(f1691,plain,
( sdtasdt0(xA,xB) = sdtasdt0(xB,xA)
| ~ spl5_16
| ~ spl5_141 ),
inference(resolution,[],[f1395,f307]) ).
fof(f1395,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) )
| ~ spl5_141 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f3877,plain,
( smndt0(sdtasdt0(xB,xA)) = sdtasdt0(smndt0(xB),xA)
| ~ spl5_16
| ~ spl5_193 ),
inference(resolution,[],[f3178,f307]) ).
fof(f3178,plain,
( ! [X0] :
( ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA) )
| ~ spl5_193 ),
inference(avatar_component_clause,[],[f3177]) ).
fof(f12330,plain,
( spl5_636
| ~ spl5_17
| ~ spl5_28
| ~ spl5_193 ),
inference(avatar_split_clause,[],[f3890,f3177,f377,f310,f12327]) ).
fof(f12327,plain,
( spl5_636
<=> smndt0(xF) = sdtasdt0(smndt0(xA),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_636])]) ).
fof(f377,plain,
( spl5_28
<=> xF = sdtasdt0(xA,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f3890,plain,
( smndt0(xF) = sdtasdt0(smndt0(xA),xA)
| ~ spl5_17
| ~ spl5_28
| ~ spl5_193 ),
inference(forward_demodulation,[],[f3876,f379]) ).
fof(f379,plain,
( xF = sdtasdt0(xA,xA)
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f3876,plain,
( smndt0(sdtasdt0(xA,xA)) = sdtasdt0(smndt0(xA),xA)
| ~ spl5_17
| ~ spl5_193 ),
inference(resolution,[],[f3178,f312]) ).
fof(f12325,plain,
( spl5_635
| ~ spl5_12
| ~ spl5_33
| ~ spl5_191 ),
inference(avatar_split_clause,[],[f3845,f3169,f402,f285,f12322]) ).
fof(f12322,plain,
( spl5_635
<=> smndt0(xN) = sdtasdt0(xR,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_635])]) ).
fof(f285,plain,
( spl5_12
<=> aScalar0(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f3169,plain,
( spl5_191
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_191])]) ).
fof(f3845,plain,
( smndt0(xN) = sdtasdt0(xR,smndt0(xS))
| ~ spl5_12
| ~ spl5_33
| ~ spl5_191 ),
inference(forward_demodulation,[],[f3836,f404]) ).
fof(f3836,plain,
( sdtasdt0(xR,smndt0(xS)) = smndt0(sdtasdt0(xR,xS))
| ~ spl5_12
| ~ spl5_191 ),
inference(resolution,[],[f3170,f287]) ).
fof(f287,plain,
( aScalar0(xR)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f3170,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS)) )
| ~ spl5_191 ),
inference(avatar_component_clause,[],[f3169]) ).
fof(f12320,plain,
( spl5_634
| ~ spl5_11
| ~ spl5_33
| ~ spl5_150
| ~ spl5_189 ),
inference(avatar_split_clause,[],[f3795,f3161,f1431,f402,f280,f12317]) ).
fof(f12317,plain,
( spl5_634
<=> smndt0(xN) = sdtasdt0(xS,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_634])]) ).
fof(f3161,plain,
( spl5_189
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_189])]) ).
fof(f3795,plain,
( smndt0(xN) = sdtasdt0(xS,smndt0(xR))
| ~ spl5_11
| ~ spl5_33
| ~ spl5_150
| ~ spl5_189 ),
inference(forward_demodulation,[],[f3787,f1863]) ).
fof(f3787,plain,
( sdtasdt0(xS,smndt0(xR)) = smndt0(sdtasdt0(xS,xR))
| ~ spl5_11
| ~ spl5_189 ),
inference(resolution,[],[f3162,f282]) ).
fof(f3162,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR)) )
| ~ spl5_189 ),
inference(avatar_component_clause,[],[f3161]) ).
fof(f12315,plain,
( spl5_633
| ~ spl5_15
| ~ spl5_35
| ~ spl5_188 ),
inference(avatar_split_clause,[],[f3766,f3157,f412,f300,f12312]) ).
fof(f12312,plain,
( spl5_633
<=> smndt0(xP) = sdtasdt0(xE,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_633])]) ).
fof(f3157,plain,
( spl5_188
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_188])]) ).
fof(f3766,plain,
( smndt0(xP) = sdtasdt0(xE,smndt0(xH))
| ~ spl5_15
| ~ spl5_35
| ~ spl5_188 ),
inference(forward_demodulation,[],[f3752,f414]) ).
fof(f3752,plain,
( sdtasdt0(xE,smndt0(xH)) = smndt0(sdtasdt0(xE,xH))
| ~ spl5_15
| ~ spl5_188 ),
inference(resolution,[],[f3158,f302]) ).
fof(f3158,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH)) )
| ~ spl5_188 ),
inference(avatar_component_clause,[],[f3157]) ).
fof(f12310,plain,
( spl5_632
| ~ spl5_10
| ~ spl5_32
| ~ spl5_187 ),
inference(avatar_split_clause,[],[f3729,f3153,f397,f275,f12307]) ).
fof(f12307,plain,
( spl5_632
<=> smndt0(xR) = sdtasdt0(xC,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_632])]) ).
fof(f3153,plain,
( spl5_187
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_187])]) ).
fof(f3729,plain,
( smndt0(xR) = sdtasdt0(xC,smndt0(xG))
| ~ spl5_10
| ~ spl5_32
| ~ spl5_187 ),
inference(forward_demodulation,[],[f3715,f399]) ).
fof(f3715,plain,
( sdtasdt0(xC,smndt0(xG)) = smndt0(sdtasdt0(xC,xG))
| ~ spl5_10
| ~ spl5_187 ),
inference(resolution,[],[f3154,f277]) ).
fof(f3154,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG)) )
| ~ spl5_187 ),
inference(avatar_component_clause,[],[f3153]) ).
fof(f12305,plain,
( spl5_631
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_145
| ~ spl5_186 ),
inference(avatar_split_clause,[],[f3699,f3149,f1411,f392,f270,f265,f12302]) ).
fof(f12302,plain,
( spl5_631
<=> smndt0(xS) = sdtasdt0(xD,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_631])]) ).
fof(f3149,plain,
( spl5_186
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_186])]) ).
fof(f3699,plain,
( smndt0(xS) = sdtasdt0(xD,smndt0(xF))
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_145
| ~ spl5_186 ),
inference(forward_demodulation,[],[f3685,f1763]) ).
fof(f3685,plain,
( sdtasdt0(xD,smndt0(xF)) = smndt0(sdtasdt0(xD,xF))
| ~ spl5_9
| ~ spl5_186 ),
inference(resolution,[],[f3150,f272]) ).
fof(f3150,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF)) )
| ~ spl5_186 ),
inference(avatar_component_clause,[],[f3149]) ).
fof(f12300,plain,
( spl5_630
| ~ spl5_7
| ~ spl5_35
| ~ spl5_146
| ~ spl5_185 ),
inference(avatar_split_clause,[],[f3675,f3145,f1415,f412,f260,f12297]) ).
fof(f12297,plain,
( spl5_630
<=> smndt0(xP) = sdtasdt0(xH,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_630])]) ).
fof(f3145,plain,
( spl5_185
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_185])]) ).
fof(f3675,plain,
( smndt0(xP) = sdtasdt0(xH,smndt0(xE))
| ~ spl5_7
| ~ spl5_35
| ~ spl5_146
| ~ spl5_185 ),
inference(forward_demodulation,[],[f3668,f1783]) ).
fof(f3668,plain,
( sdtasdt0(xH,smndt0(xE)) = smndt0(sdtasdt0(xH,xE))
| ~ spl5_7
| ~ spl5_185 ),
inference(resolution,[],[f3146,f262]) ).
fof(f3146,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE)) )
| ~ spl5_185 ),
inference(avatar_component_clause,[],[f3145]) ).
fof(f12295,plain,
( spl5_629
| ~ spl5_8
| ~ spl5_31
| ~ spl5_184 ),
inference(avatar_split_clause,[],[f3650,f3141,f392,f265,f12292]) ).
fof(f12292,plain,
( spl5_629
<=> smndt0(xS) = sdtasdt0(xF,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_629])]) ).
fof(f3141,plain,
( spl5_184
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_184])]) ).
fof(f3650,plain,
( smndt0(xS) = sdtasdt0(xF,smndt0(xD))
| ~ spl5_8
| ~ spl5_31
| ~ spl5_184 ),
inference(forward_demodulation,[],[f3638,f394]) ).
fof(f3638,plain,
( sdtasdt0(xF,smndt0(xD)) = smndt0(sdtasdt0(xF,xD))
| ~ spl5_8
| ~ spl5_184 ),
inference(resolution,[],[f3142,f267]) ).
fof(f3142,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD)) )
| ~ spl5_184 ),
inference(avatar_component_clause,[],[f3141]) ).
fof(f12290,plain,
( spl5_628
| ~ spl5_6
| ~ spl5_32
| ~ spl5_143
| ~ spl5_182 ),
inference(avatar_split_clause,[],[f3622,f3132,f1402,f397,f255,f12287]) ).
fof(f12287,plain,
( spl5_628
<=> smndt0(xR) = sdtasdt0(xG,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_628])]) ).
fof(f3132,plain,
( spl5_182
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_182])]) ).
fof(f3622,plain,
( smndt0(xR) = sdtasdt0(xG,smndt0(xC))
| ~ spl5_6
| ~ spl5_32
| ~ spl5_143
| ~ spl5_182 ),
inference(forward_demodulation,[],[f3610,f1743]) ).
fof(f3610,plain,
( sdtasdt0(xG,smndt0(xC)) = smndt0(sdtasdt0(xG,xC))
| ~ spl5_6
| ~ spl5_182 ),
inference(resolution,[],[f3133,f257]) ).
fof(f3133,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC)) )
| ~ spl5_182 ),
inference(avatar_component_clause,[],[f3132]) ).
fof(f12285,plain,
( spl5_627
| ~ spl5_16
| ~ spl5_26
| ~ spl5_181 ),
inference(avatar_split_clause,[],[f3596,f3128,f367,f305,f12282]) ).
fof(f12282,plain,
( spl5_627
<=> smndt0(xG) = sdtasdt0(xB,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_627])]) ).
fof(f3128,plain,
( spl5_181
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_181])]) ).
fof(f3596,plain,
( smndt0(xG) = sdtasdt0(xB,smndt0(xB))
| ~ spl5_16
| ~ spl5_26
| ~ spl5_181 ),
inference(forward_demodulation,[],[f3582,f369]) ).
fof(f3582,plain,
( sdtasdt0(xB,smndt0(xB)) = smndt0(sdtasdt0(xB,xB))
| ~ spl5_16
| ~ spl5_181 ),
inference(resolution,[],[f3129,f307]) ).
fof(f3129,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB)) )
| ~ spl5_181 ),
inference(avatar_component_clause,[],[f3128]) ).
fof(f12280,plain,
( spl5_626
| ~ spl5_17
| ~ spl5_27
| ~ spl5_181 ),
inference(avatar_split_clause,[],[f3595,f3128,f372,f310,f12277]) ).
fof(f12277,plain,
( spl5_626
<=> smndt0(xH) = sdtasdt0(xA,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_626])]) ).
fof(f3595,plain,
( smndt0(xH) = sdtasdt0(xA,smndt0(xB))
| ~ spl5_17
| ~ spl5_27
| ~ spl5_181 ),
inference(forward_demodulation,[],[f3581,f374]) ).
fof(f3581,plain,
( sdtasdt0(xA,smndt0(xB)) = smndt0(sdtasdt0(xA,xB))
| ~ spl5_17
| ~ spl5_181 ),
inference(resolution,[],[f3129,f312]) ).
fof(f12275,plain,
( spl5_625
| ~ spl5_16
| ~ spl5_27
| ~ spl5_141
| ~ spl5_180 ),
inference(avatar_split_clause,[],[f3573,f3124,f1394,f372,f305,f12272]) ).
fof(f12272,plain,
( spl5_625
<=> smndt0(xH) = sdtasdt0(xB,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_625])]) ).
fof(f3124,plain,
( spl5_180
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_180])]) ).
fof(f3573,plain,
( smndt0(xH) = sdtasdt0(xB,smndt0(xA))
| ~ spl5_16
| ~ spl5_27
| ~ spl5_141
| ~ spl5_180 ),
inference(forward_demodulation,[],[f3559,f1703]) ).
fof(f3559,plain,
( sdtasdt0(xB,smndt0(xA)) = smndt0(sdtasdt0(xB,xA))
| ~ spl5_16
| ~ spl5_180 ),
inference(resolution,[],[f3125,f307]) ).
fof(f3125,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA)) )
| ~ spl5_180 ),
inference(avatar_component_clause,[],[f3124]) ).
fof(f12270,plain,
( spl5_624
| ~ spl5_17
| ~ spl5_28
| ~ spl5_180 ),
inference(avatar_split_clause,[],[f3572,f3124,f377,f310,f12267]) ).
fof(f12267,plain,
( spl5_624
<=> smndt0(xF) = sdtasdt0(xA,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_624])]) ).
fof(f3572,plain,
( smndt0(xF) = sdtasdt0(xA,smndt0(xA))
| ~ spl5_17
| ~ spl5_28
| ~ spl5_180 ),
inference(forward_demodulation,[],[f3558,f379]) ).
fof(f3558,plain,
( sdtasdt0(xA,smndt0(xA)) = smndt0(sdtasdt0(xA,xA))
| ~ spl5_17
| ~ spl5_180 ),
inference(resolution,[],[f3125,f312]) ).
fof(f12265,plain,
( spl5_623
| ~ spl5_12
| ~ spl5_33
| ~ spl5_178 ),
inference(avatar_split_clause,[],[f3527,f3116,f402,f285,f12262]) ).
fof(f12262,plain,
( spl5_623
<=> xN = sdtasdt0(smndt0(xR),smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_623])]) ).
fof(f3116,plain,
( spl5_178
<=> ! [X0] :
( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_178])]) ).
fof(f3527,plain,
( xN = sdtasdt0(smndt0(xR),smndt0(xS))
| ~ spl5_12
| ~ spl5_33
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3518,f404]) ).
fof(f3518,plain,
( sdtasdt0(xR,xS) = sdtasdt0(smndt0(xR),smndt0(xS))
| ~ spl5_12
| ~ spl5_178 ),
inference(resolution,[],[f3117,f287]) ).
fof(f3117,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS)) )
| ~ spl5_178 ),
inference(avatar_component_clause,[],[f3116]) ).
fof(f12260,plain,
( spl5_622
| ~ spl5_11
| ~ spl5_33
| ~ spl5_150
| ~ spl5_176 ),
inference(avatar_split_clause,[],[f3472,f3108,f1431,f402,f280,f12257]) ).
fof(f12257,plain,
( spl5_622
<=> xN = sdtasdt0(smndt0(xS),smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_622])]) ).
fof(f3108,plain,
( spl5_176
<=> ! [X0] :
( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_176])]) ).
fof(f3472,plain,
( xN = sdtasdt0(smndt0(xS),smndt0(xR))
| ~ spl5_11
| ~ spl5_33
| ~ spl5_150
| ~ spl5_176 ),
inference(forward_demodulation,[],[f3464,f1863]) ).
fof(f3464,plain,
( sdtasdt0(xS,xR) = sdtasdt0(smndt0(xS),smndt0(xR))
| ~ spl5_11
| ~ spl5_176 ),
inference(resolution,[],[f3109,f282]) ).
fof(f3109,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR)) )
| ~ spl5_176 ),
inference(avatar_component_clause,[],[f3108]) ).
fof(f12255,plain,
( spl5_621
| ~ spl5_15
| ~ spl5_35
| ~ spl5_175 ),
inference(avatar_split_clause,[],[f3443,f3104,f412,f300,f12252]) ).
fof(f12252,plain,
( spl5_621
<=> xP = sdtasdt0(smndt0(xE),smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_621])]) ).
fof(f3104,plain,
( spl5_175
<=> ! [X0] :
( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_175])]) ).
fof(f3443,plain,
( xP = sdtasdt0(smndt0(xE),smndt0(xH))
| ~ spl5_15
| ~ spl5_35
| ~ spl5_175 ),
inference(forward_demodulation,[],[f3429,f414]) ).
fof(f3429,plain,
( sdtasdt0(xE,xH) = sdtasdt0(smndt0(xE),smndt0(xH))
| ~ spl5_15
| ~ spl5_175 ),
inference(resolution,[],[f3105,f302]) ).
fof(f3105,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH)) )
| ~ spl5_175 ),
inference(avatar_component_clause,[],[f3104]) ).
fof(f12250,plain,
( spl5_620
| ~ spl5_10
| ~ spl5_32
| ~ spl5_174 ),
inference(avatar_split_clause,[],[f3411,f3100,f397,f275,f12247]) ).
fof(f12247,plain,
( spl5_620
<=> xR = sdtasdt0(smndt0(xC),smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_620])]) ).
fof(f3100,plain,
( spl5_174
<=> ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_174])]) ).
fof(f3411,plain,
( xR = sdtasdt0(smndt0(xC),smndt0(xG))
| ~ spl5_10
| ~ spl5_32
| ~ spl5_174 ),
inference(forward_demodulation,[],[f3397,f399]) ).
fof(f3397,plain,
( sdtasdt0(xC,xG) = sdtasdt0(smndt0(xC),smndt0(xG))
| ~ spl5_10
| ~ spl5_174 ),
inference(resolution,[],[f3101,f277]) ).
fof(f3101,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG)) )
| ~ spl5_174 ),
inference(avatar_component_clause,[],[f3100]) ).
fof(f12245,plain,
( spl5_619
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_145
| ~ spl5_173 ),
inference(avatar_split_clause,[],[f3381,f3096,f1411,f392,f270,f265,f12242]) ).
fof(f12242,plain,
( spl5_619
<=> xS = sdtasdt0(smndt0(xD),smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_619])]) ).
fof(f3096,plain,
( spl5_173
<=> ! [X0] :
( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_173])]) ).
fof(f3381,plain,
( xS = sdtasdt0(smndt0(xD),smndt0(xF))
| ~ spl5_8
| ~ spl5_9
| ~ spl5_31
| ~ spl5_145
| ~ spl5_173 ),
inference(forward_demodulation,[],[f3367,f1763]) ).
fof(f3367,plain,
( sdtasdt0(xD,xF) = sdtasdt0(smndt0(xD),smndt0(xF))
| ~ spl5_9
| ~ spl5_173 ),
inference(resolution,[],[f3097,f272]) ).
fof(f3097,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF)) )
| ~ spl5_173 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f12240,plain,
( spl5_618
| ~ spl5_7
| ~ spl5_35
| ~ spl5_146
| ~ spl5_171 ),
inference(avatar_split_clause,[],[f3357,f3087,f1415,f412,f260,f12237]) ).
fof(f12237,plain,
( spl5_618
<=> xP = sdtasdt0(smndt0(xH),smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_618])]) ).
fof(f3087,plain,
( spl5_171
<=> ! [X0] :
( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_171])]) ).
fof(f3357,plain,
( xP = sdtasdt0(smndt0(xH),smndt0(xE))
| ~ spl5_7
| ~ spl5_35
| ~ spl5_146
| ~ spl5_171 ),
inference(forward_demodulation,[],[f3350,f1783]) ).
fof(f3350,plain,
( sdtasdt0(xH,xE) = sdtasdt0(smndt0(xH),smndt0(xE))
| ~ spl5_7
| ~ spl5_171 ),
inference(resolution,[],[f3088,f262]) ).
fof(f3088,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE)) )
| ~ spl5_171 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f12235,plain,
( spl5_617
| ~ spl5_8
| ~ spl5_31
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3332,f3083,f392,f265,f12232]) ).
fof(f12232,plain,
( spl5_617
<=> xS = sdtasdt0(smndt0(xF),smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_617])]) ).
fof(f3083,plain,
( spl5_170
<=> ! [X0] :
( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_170])]) ).
fof(f3332,plain,
( xS = sdtasdt0(smndt0(xF),smndt0(xD))
| ~ spl5_8
| ~ spl5_31
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3320,f394]) ).
fof(f3320,plain,
( sdtasdt0(xF,xD) = sdtasdt0(smndt0(xF),smndt0(xD))
| ~ spl5_8
| ~ spl5_170 ),
inference(resolution,[],[f3084,f267]) ).
fof(f3084,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD)) )
| ~ spl5_170 ),
inference(avatar_component_clause,[],[f3083]) ).
fof(f12230,plain,
( spl5_616
| ~ spl5_6
| ~ spl5_32
| ~ spl5_143
| ~ spl5_169 ),
inference(avatar_split_clause,[],[f3304,f3079,f1402,f397,f255,f12227]) ).
fof(f12227,plain,
( spl5_616
<=> xR = sdtasdt0(smndt0(xG),smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_616])]) ).
fof(f3079,plain,
( spl5_169
<=> ! [X0] :
( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_169])]) ).
fof(f3304,plain,
( xR = sdtasdt0(smndt0(xG),smndt0(xC))
| ~ spl5_6
| ~ spl5_32
| ~ spl5_143
| ~ spl5_169 ),
inference(forward_demodulation,[],[f3292,f1743]) ).
fof(f3292,plain,
( sdtasdt0(xG,xC) = sdtasdt0(smndt0(xG),smndt0(xC))
| ~ spl5_6
| ~ spl5_169 ),
inference(resolution,[],[f3080,f257]) ).
fof(f3080,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC)) )
| ~ spl5_169 ),
inference(avatar_component_clause,[],[f3079]) ).
fof(f12225,plain,
( spl5_615
| ~ spl5_16
| ~ spl5_26
| ~ spl5_168 ),
inference(avatar_split_clause,[],[f3278,f3075,f367,f305,f12222]) ).
fof(f12222,plain,
( spl5_615
<=> xG = sdtasdt0(smndt0(xB),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_615])]) ).
fof(f3075,plain,
( spl5_168
<=> ! [X0] :
( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_168])]) ).
fof(f3278,plain,
( xG = sdtasdt0(smndt0(xB),smndt0(xB))
| ~ spl5_16
| ~ spl5_26
| ~ spl5_168 ),
inference(forward_demodulation,[],[f3264,f369]) ).
fof(f3264,plain,
( sdtasdt0(xB,xB) = sdtasdt0(smndt0(xB),smndt0(xB))
| ~ spl5_16
| ~ spl5_168 ),
inference(resolution,[],[f3076,f307]) ).
fof(f3076,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB)) )
| ~ spl5_168 ),
inference(avatar_component_clause,[],[f3075]) ).
fof(f12220,plain,
( spl5_614
| ~ spl5_17
| ~ spl5_27
| ~ spl5_168 ),
inference(avatar_split_clause,[],[f3277,f3075,f372,f310,f12217]) ).
fof(f12217,plain,
( spl5_614
<=> xH = sdtasdt0(smndt0(xA),smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_614])]) ).
fof(f3277,plain,
( xH = sdtasdt0(smndt0(xA),smndt0(xB))
| ~ spl5_17
| ~ spl5_27
| ~ spl5_168 ),
inference(forward_demodulation,[],[f3263,f374]) ).
fof(f3263,plain,
( sdtasdt0(xA,xB) = sdtasdt0(smndt0(xA),smndt0(xB))
| ~ spl5_17
| ~ spl5_168 ),
inference(resolution,[],[f3076,f312]) ).
fof(f12215,plain,
( spl5_613
| ~ spl5_16
| ~ spl5_27
| ~ spl5_141
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3255,f3071,f1394,f372,f305,f12212]) ).
fof(f12212,plain,
( spl5_613
<=> xH = sdtasdt0(smndt0(xB),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_613])]) ).
fof(f3071,plain,
( spl5_167
<=> ! [X0] :
( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_167])]) ).
fof(f3255,plain,
( xH = sdtasdt0(smndt0(xB),smndt0(xA))
| ~ spl5_16
| ~ spl5_27
| ~ spl5_141
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3241,f1703]) ).
fof(f3241,plain,
( sdtasdt0(xB,xA) = sdtasdt0(smndt0(xB),smndt0(xA))
| ~ spl5_16
| ~ spl5_167 ),
inference(resolution,[],[f3072,f307]) ).
fof(f3072,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA)) )
| ~ spl5_167 ),
inference(avatar_component_clause,[],[f3071]) ).
fof(f12210,plain,
( spl5_612
| ~ spl5_17
| ~ spl5_28
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3254,f3071,f377,f310,f12207]) ).
fof(f12207,plain,
( spl5_612
<=> xF = sdtasdt0(smndt0(xA),smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_612])]) ).
fof(f3254,plain,
( xF = sdtasdt0(smndt0(xA),smndt0(xA))
| ~ spl5_17
| ~ spl5_28
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3240,f379]) ).
fof(f3240,plain,
( sdtasdt0(xA,xA) = sdtasdt0(smndt0(xA),smndt0(xA))
| ~ spl5_17
| ~ spl5_167 ),
inference(resolution,[],[f3072,f312]) ).
fof(f12205,plain,
( spl5_611
| ~ spl5_121
| ~ spl5_157 ),
inference(avatar_split_clause,[],[f1942,f1928,f1260,f12202]) ).
fof(f12202,plain,
( spl5_611
<=> aDimensionOf0(xq) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xq))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_611])]) ).
fof(f1260,plain,
( spl5_121
<=> sP1(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_121])]) ).
fof(f1928,plain,
( spl5_157
<=> ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_157])]) ).
fof(f1942,plain,
( aDimensionOf0(xq) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xq)))
| ~ spl5_121
| ~ spl5_157 ),
inference(resolution,[],[f1929,f1262]) ).
fof(f1262,plain,
( sP1(xq)
| ~ spl5_121 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f1929,plain,
( ! [X0] :
( ~ sP1(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) )
| ~ spl5_157 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f12200,plain,
( spl5_610
| ~ spl5_119
| ~ spl5_157 ),
inference(avatar_split_clause,[],[f1941,f1928,f1251,f12197]) ).
fof(f12197,plain,
( spl5_610
<=> aDimensionOf0(xp) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_610])]) ).
fof(f1251,plain,
( spl5_119
<=> sP1(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_119])]) ).
fof(f1941,plain,
( aDimensionOf0(xp) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xp)))
| ~ spl5_119
| ~ spl5_157 ),
inference(resolution,[],[f1929,f1253]) ).
fof(f1253,plain,
( sP1(xp)
| ~ spl5_119 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f12195,plain,
( spl5_609
| ~ spl5_13
| ~ spl5_152 ),
inference(avatar_split_clause,[],[f1905,f1439,f290,f12192]) ).
fof(f12192,plain,
( spl5_609
<=> sdtasdt0(xN,xS) = sdtasdt0(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_609])]) ).
fof(f290,plain,
( spl5_13
<=> aScalar0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f1439,plain,
( spl5_152
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_152])]) ).
fof(f1905,plain,
( sdtasdt0(xN,xS) = sdtasdt0(xS,xN)
| ~ spl5_13
| ~ spl5_152 ),
inference(resolution,[],[f1440,f292]) ).
fof(f292,plain,
( aScalar0(xN)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f1440,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) )
| ~ spl5_152 ),
inference(avatar_component_clause,[],[f1439]) ).
fof(f12190,plain,
( spl5_608
| ~ spl5_13
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1886,f1435,f290,f12187]) ).
fof(f12187,plain,
( spl5_608
<=> sdtasdt0(xN,xP) = sdtasdt0(xP,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_608])]) ).
fof(f1435,plain,
( spl5_151
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_151])]) ).
fof(f1886,plain,
( sdtasdt0(xN,xP) = sdtasdt0(xP,xN)
| ~ spl5_13
| ~ spl5_151 ),
inference(resolution,[],[f1436,f292]) ).
fof(f1436,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) )
| ~ spl5_151 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f12185,plain,
( spl5_607
| ~ spl5_11
| ~ spl5_151 ),
inference(avatar_split_clause,[],[f1885,f1435,f280,f12182]) ).
fof(f12182,plain,
( spl5_607
<=> sdtasdt0(xS,xP) = sdtasdt0(xP,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_607])]) ).
fof(f1885,plain,
( sdtasdt0(xS,xP) = sdtasdt0(xP,xS)
| ~ spl5_11
| ~ spl5_151 ),
inference(resolution,[],[f1436,f282]) ).
fof(f12180,plain,
( spl5_606
| ~ spl5_13
| ~ spl5_150 ),
inference(avatar_split_clause,[],[f1861,f1431,f290,f12177]) ).
fof(f12177,plain,
( spl5_606
<=> sdtasdt0(xN,xR) = sdtasdt0(xR,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_606])]) ).
fof(f1861,plain,
( sdtasdt0(xN,xR) = sdtasdt0(xR,xN)
| ~ spl5_13
| ~ spl5_150 ),
inference(resolution,[],[f1432,f292]) ).
fof(f12175,plain,
( spl5_605
| ~ spl5_14
| ~ spl5_150 ),
inference(avatar_split_clause,[],[f1859,f1431,f295,f12172]) ).
fof(f12172,plain,
( spl5_605
<=> sdtasdt0(xP,xR) = sdtasdt0(xR,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_605])]) ).
fof(f295,plain,
( spl5_14
<=> aScalar0(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f1859,plain,
( sdtasdt0(xP,xR) = sdtasdt0(xR,xP)
| ~ spl5_14
| ~ spl5_150 ),
inference(resolution,[],[f1432,f297]) ).
fof(f297,plain,
( aScalar0(xP)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f12170,plain,
( spl5_604
| ~ spl5_13
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1841,f1427,f290,f12167]) ).
fof(f12167,plain,
( spl5_604
<=> sdtasdt0(xN,xH) = sdtasdt0(xH,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_604])]) ).
fof(f1427,plain,
( spl5_149
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_149])]) ).
fof(f1841,plain,
( sdtasdt0(xN,xH) = sdtasdt0(xH,xN)
| ~ spl5_13
| ~ spl5_149 ),
inference(resolution,[],[f1428,f292]) ).
fof(f1428,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) )
| ~ spl5_149 ),
inference(avatar_component_clause,[],[f1427]) ).
fof(f12165,plain,
( spl5_603
| ~ spl5_11
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1840,f1427,f280,f12162]) ).
fof(f12162,plain,
( spl5_603
<=> sdtasdt0(xS,xH) = sdtasdt0(xH,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_603])]) ).
fof(f1840,plain,
( sdtasdt0(xS,xH) = sdtasdt0(xH,xS)
| ~ spl5_11
| ~ spl5_149 ),
inference(resolution,[],[f1428,f282]) ).
fof(f12160,plain,
( spl5_602
| ~ spl5_14
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1839,f1427,f295,f12157]) ).
fof(f12157,plain,
( spl5_602
<=> sdtasdt0(xP,xH) = sdtasdt0(xH,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_602])]) ).
fof(f1839,plain,
( sdtasdt0(xP,xH) = sdtasdt0(xH,xP)
| ~ spl5_14
| ~ spl5_149 ),
inference(resolution,[],[f1428,f297]) ).
fof(f12155,plain,
( spl5_601
| ~ spl5_12
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1838,f1427,f285,f12152]) ).
fof(f12152,plain,
( spl5_601
<=> sdtasdt0(xR,xH) = sdtasdt0(xH,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_601])]) ).
fof(f1838,plain,
( sdtasdt0(xR,xH) = sdtasdt0(xH,xR)
| ~ spl5_12
| ~ spl5_149 ),
inference(resolution,[],[f1428,f287]) ).
fof(f12150,plain,
( spl5_600
| ~ spl5_13
| ~ spl5_148 ),
inference(avatar_split_clause,[],[f1821,f1423,f290,f12147]) ).
fof(f12147,plain,
( spl5_600
<=> sdtasdt0(xN,xG) = sdtasdt0(xG,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_600])]) ).
fof(f1423,plain,
( spl5_148
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_148])]) ).
fof(f1821,plain,
( sdtasdt0(xN,xG) = sdtasdt0(xG,xN)
| ~ spl5_13
| ~ spl5_148 ),
inference(resolution,[],[f1424,f292]) ).
fof(f1424,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) )
| ~ spl5_148 ),
inference(avatar_component_clause,[],[f1423]) ).
fof(f12145,plain,
( spl5_599
| ~ spl5_11
| ~ spl5_148 ),
inference(avatar_split_clause,[],[f1820,f1423,f280,f12142]) ).
fof(f12142,plain,
( spl5_599
<=> sdtasdt0(xS,xG) = sdtasdt0(xG,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_599])]) ).
fof(f1820,plain,
( sdtasdt0(xS,xG) = sdtasdt0(xG,xS)
| ~ spl5_11
| ~ spl5_148 ),
inference(resolution,[],[f1424,f282]) ).
fof(f12140,plain,
( spl5_598
| ~ spl5_14
| ~ spl5_148 ),
inference(avatar_split_clause,[],[f1819,f1423,f295,f12137]) ).
fof(f12137,plain,
( spl5_598
<=> sdtasdt0(xP,xG) = sdtasdt0(xG,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_598])]) ).
fof(f1819,plain,
( sdtasdt0(xP,xG) = sdtasdt0(xG,xP)
| ~ spl5_14
| ~ spl5_148 ),
inference(resolution,[],[f1424,f297]) ).
fof(f12135,plain,
( spl5_597
| ~ spl5_12
| ~ spl5_148 ),
inference(avatar_split_clause,[],[f1818,f1423,f285,f12132]) ).
fof(f12132,plain,
( spl5_597
<=> sdtasdt0(xR,xG) = sdtasdt0(xG,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_597])]) ).
fof(f1818,plain,
( sdtasdt0(xR,xG) = sdtasdt0(xG,xR)
| ~ spl5_12
| ~ spl5_148 ),
inference(resolution,[],[f1424,f287]) ).
fof(f12130,plain,
( spl5_596
| ~ spl5_7
| ~ spl5_148 ),
inference(avatar_split_clause,[],[f1817,f1423,f260,f12127]) ).
fof(f12127,plain,
( spl5_596
<=> sdtasdt0(xH,xG) = sdtasdt0(xG,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_596])]) ).
fof(f1817,plain,
( sdtasdt0(xH,xG) = sdtasdt0(xG,xH)
| ~ spl5_7
| ~ spl5_148 ),
inference(resolution,[],[f1424,f262]) ).
fof(f12125,plain,
( spl5_595
| ~ spl5_13
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1801,f1419,f290,f12122]) ).
fof(f12122,plain,
( spl5_595
<=> sdtasdt0(xN,xF) = sdtasdt0(xF,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_595])]) ).
fof(f1419,plain,
( spl5_147
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_147])]) ).
fof(f1801,plain,
( sdtasdt0(xN,xF) = sdtasdt0(xF,xN)
| ~ spl5_13
| ~ spl5_147 ),
inference(resolution,[],[f1420,f292]) ).
fof(f1420,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) )
| ~ spl5_147 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f12120,plain,
( spl5_594
| ~ spl5_11
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1800,f1419,f280,f12117]) ).
fof(f12117,plain,
( spl5_594
<=> sdtasdt0(xS,xF) = sdtasdt0(xF,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_594])]) ).
fof(f1800,plain,
( sdtasdt0(xS,xF) = sdtasdt0(xF,xS)
| ~ spl5_11
| ~ spl5_147 ),
inference(resolution,[],[f1420,f282]) ).
fof(f12115,plain,
( spl5_593
| ~ spl5_14
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1799,f1419,f295,f12112]) ).
fof(f12112,plain,
( spl5_593
<=> sdtasdt0(xP,xF) = sdtasdt0(xF,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_593])]) ).
fof(f1799,plain,
( sdtasdt0(xP,xF) = sdtasdt0(xF,xP)
| ~ spl5_14
| ~ spl5_147 ),
inference(resolution,[],[f1420,f297]) ).
fof(f12110,plain,
( spl5_592
| ~ spl5_12
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1798,f1419,f285,f12107]) ).
fof(f12107,plain,
( spl5_592
<=> sdtasdt0(xR,xF) = sdtasdt0(xF,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_592])]) ).
fof(f1798,plain,
( sdtasdt0(xR,xF) = sdtasdt0(xF,xR)
| ~ spl5_12
| ~ spl5_147 ),
inference(resolution,[],[f1420,f287]) ).
fof(f12105,plain,
( spl5_591
| ~ spl5_7
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1797,f1419,f260,f12102]) ).
fof(f12102,plain,
( spl5_591
<=> sdtasdt0(xH,xF) = sdtasdt0(xF,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_591])]) ).
fof(f1797,plain,
( sdtasdt0(xH,xF) = sdtasdt0(xF,xH)
| ~ spl5_7
| ~ spl5_147 ),
inference(resolution,[],[f1420,f262]) ).
fof(f12100,plain,
( spl5_590
| ~ spl5_6
| ~ spl5_147 ),
inference(avatar_split_clause,[],[f1796,f1419,f255,f12097]) ).
fof(f12097,plain,
( spl5_590
<=> sdtasdt0(xG,xF) = sdtasdt0(xF,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_590])]) ).
fof(f1796,plain,
( sdtasdt0(xG,xF) = sdtasdt0(xF,xG)
| ~ spl5_6
| ~ spl5_147 ),
inference(resolution,[],[f1420,f257]) ).
fof(f12095,plain,
( spl5_589
| ~ spl5_13
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1781,f1415,f290,f12092]) ).
fof(f12092,plain,
( spl5_589
<=> sdtasdt0(xN,xE) = sdtasdt0(xE,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_589])]) ).
fof(f1781,plain,
( sdtasdt0(xN,xE) = sdtasdt0(xE,xN)
| ~ spl5_13
| ~ spl5_146 ),
inference(resolution,[],[f1416,f292]) ).
fof(f12090,plain,
( spl5_588
| ~ spl5_11
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1780,f1415,f280,f12087]) ).
fof(f12087,plain,
( spl5_588
<=> sdtasdt0(xS,xE) = sdtasdt0(xE,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_588])]) ).
fof(f1780,plain,
( sdtasdt0(xS,xE) = sdtasdt0(xE,xS)
| ~ spl5_11
| ~ spl5_146 ),
inference(resolution,[],[f1416,f282]) ).
fof(f12085,plain,
( spl5_587
| ~ spl5_14
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1779,f1415,f295,f12082]) ).
fof(f12082,plain,
( spl5_587
<=> sdtasdt0(xP,xE) = sdtasdt0(xE,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_587])]) ).
fof(f1779,plain,
( sdtasdt0(xP,xE) = sdtasdt0(xE,xP)
| ~ spl5_14
| ~ spl5_146 ),
inference(resolution,[],[f1416,f297]) ).
fof(f12080,plain,
( spl5_586
| ~ spl5_12
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1778,f1415,f285,f12077]) ).
fof(f12077,plain,
( spl5_586
<=> sdtasdt0(xR,xE) = sdtasdt0(xE,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_586])]) ).
fof(f1778,plain,
( sdtasdt0(xR,xE) = sdtasdt0(xE,xR)
| ~ spl5_12
| ~ spl5_146 ),
inference(resolution,[],[f1416,f287]) ).
fof(f12075,plain,
( spl5_585
| ~ spl5_6
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1776,f1415,f255,f12072]) ).
fof(f12072,plain,
( spl5_585
<=> sdtasdt0(xG,xE) = sdtasdt0(xE,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_585])]) ).
fof(f1776,plain,
( sdtasdt0(xG,xE) = sdtasdt0(xE,xG)
| ~ spl5_6
| ~ spl5_146 ),
inference(resolution,[],[f1416,f257]) ).
fof(f12070,plain,
( spl5_584
| ~ spl5_8
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1775,f1415,f265,f12067]) ).
fof(f12067,plain,
( spl5_584
<=> sdtasdt0(xF,xE) = sdtasdt0(xE,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_584])]) ).
fof(f1775,plain,
( sdtasdt0(xF,xE) = sdtasdt0(xE,xF)
| ~ spl5_8
| ~ spl5_146 ),
inference(resolution,[],[f1416,f267]) ).
fof(f12065,plain,
( spl5_583
| ~ spl5_13
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1761,f1411,f290,f12062]) ).
fof(f12062,plain,
( spl5_583
<=> sdtasdt0(xN,xD) = sdtasdt0(xD,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_583])]) ).
fof(f1761,plain,
( sdtasdt0(xN,xD) = sdtasdt0(xD,xN)
| ~ spl5_13
| ~ spl5_145 ),
inference(resolution,[],[f1412,f292]) ).
fof(f12060,plain,
( spl5_582
| ~ spl5_11
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1760,f1411,f280,f12057]) ).
fof(f12057,plain,
( spl5_582
<=> sdtasdt0(xS,xD) = sdtasdt0(xD,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_582])]) ).
fof(f1760,plain,
( sdtasdt0(xS,xD) = sdtasdt0(xD,xS)
| ~ spl5_11
| ~ spl5_145 ),
inference(resolution,[],[f1412,f282]) ).
fof(f12055,plain,
( spl5_581
| ~ spl5_14
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1759,f1411,f295,f12052]) ).
fof(f12052,plain,
( spl5_581
<=> sdtasdt0(xP,xD) = sdtasdt0(xD,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_581])]) ).
fof(f1759,plain,
( sdtasdt0(xP,xD) = sdtasdt0(xD,xP)
| ~ spl5_14
| ~ spl5_145 ),
inference(resolution,[],[f1412,f297]) ).
fof(f12050,plain,
( spl5_580
| ~ spl5_12
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1758,f1411,f285,f12047]) ).
fof(f12047,plain,
( spl5_580
<=> sdtasdt0(xR,xD) = sdtasdt0(xD,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_580])]) ).
fof(f1758,plain,
( sdtasdt0(xR,xD) = sdtasdt0(xD,xR)
| ~ spl5_12
| ~ spl5_145 ),
inference(resolution,[],[f1412,f287]) ).
fof(f12045,plain,
( spl5_579
| ~ spl5_7
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1757,f1411,f260,f12042]) ).
fof(f12042,plain,
( spl5_579
<=> sdtasdt0(xH,xD) = sdtasdt0(xD,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_579])]) ).
fof(f1757,plain,
( sdtasdt0(xH,xD) = sdtasdt0(xD,xH)
| ~ spl5_7
| ~ spl5_145 ),
inference(resolution,[],[f1412,f262]) ).
fof(f12040,plain,
( spl5_578
| ~ spl5_6
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1756,f1411,f255,f12037]) ).
fof(f12037,plain,
( spl5_578
<=> sdtasdt0(xG,xD) = sdtasdt0(xD,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_578])]) ).
fof(f1756,plain,
( sdtasdt0(xG,xD) = sdtasdt0(xD,xG)
| ~ spl5_6
| ~ spl5_145 ),
inference(resolution,[],[f1412,f257]) ).
fof(f12035,plain,
( spl5_577
| ~ spl5_15
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1754,f1411,f300,f12032]) ).
fof(f12032,plain,
( spl5_577
<=> sdtasdt0(xE,xD) = sdtasdt0(xD,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_577])]) ).
fof(f1754,plain,
( sdtasdt0(xE,xD) = sdtasdt0(xD,xE)
| ~ spl5_15
| ~ spl5_145 ),
inference(resolution,[],[f1412,f302]) ).
fof(f12030,plain,
( spl5_576
| ~ spl5_13
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1741,f1402,f290,f12027]) ).
fof(f12027,plain,
( spl5_576
<=> sdtasdt0(xN,xC) = sdtasdt0(xC,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_576])]) ).
fof(f1741,plain,
( sdtasdt0(xN,xC) = sdtasdt0(xC,xN)
| ~ spl5_13
| ~ spl5_143 ),
inference(resolution,[],[f1403,f292]) ).
fof(f12025,plain,
( spl5_575
| ~ spl5_11
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1740,f1402,f280,f12022]) ).
fof(f12022,plain,
( spl5_575
<=> sdtasdt0(xS,xC) = sdtasdt0(xC,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_575])]) ).
fof(f1740,plain,
( sdtasdt0(xS,xC) = sdtasdt0(xC,xS)
| ~ spl5_11
| ~ spl5_143 ),
inference(resolution,[],[f1403,f282]) ).
fof(f12020,plain,
( spl5_574
| ~ spl5_14
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1739,f1402,f295,f12017]) ).
fof(f12017,plain,
( spl5_574
<=> sdtasdt0(xP,xC) = sdtasdt0(xC,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_574])]) ).
fof(f1739,plain,
( sdtasdt0(xP,xC) = sdtasdt0(xC,xP)
| ~ spl5_14
| ~ spl5_143 ),
inference(resolution,[],[f1403,f297]) ).
fof(f12015,plain,
( spl5_573
| ~ spl5_12
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1738,f1402,f285,f12012]) ).
fof(f12012,plain,
( spl5_573
<=> sdtasdt0(xR,xC) = sdtasdt0(xC,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_573])]) ).
fof(f1738,plain,
( sdtasdt0(xR,xC) = sdtasdt0(xC,xR)
| ~ spl5_12
| ~ spl5_143 ),
inference(resolution,[],[f1403,f287]) ).
fof(f12010,plain,
( spl5_572
| ~ spl5_7
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1737,f1402,f260,f12007]) ).
fof(f12007,plain,
( spl5_572
<=> sdtasdt0(xH,xC) = sdtasdt0(xC,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_572])]) ).
fof(f1737,plain,
( sdtasdt0(xH,xC) = sdtasdt0(xC,xH)
| ~ spl5_7
| ~ spl5_143 ),
inference(resolution,[],[f1403,f262]) ).
fof(f12005,plain,
( spl5_571
| ~ spl5_8
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1735,f1402,f265,f12002]) ).
fof(f12002,plain,
( spl5_571
<=> sdtasdt0(xF,xC) = sdtasdt0(xC,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_571])]) ).
fof(f1735,plain,
( sdtasdt0(xF,xC) = sdtasdt0(xC,xF)
| ~ spl5_8
| ~ spl5_143 ),
inference(resolution,[],[f1403,f267]) ).
fof(f12000,plain,
( spl5_570
| ~ spl5_15
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1734,f1402,f300,f11997]) ).
fof(f11997,plain,
( spl5_570
<=> sdtasdt0(xE,xC) = sdtasdt0(xC,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_570])]) ).
fof(f1734,plain,
( sdtasdt0(xE,xC) = sdtasdt0(xC,xE)
| ~ spl5_15
| ~ spl5_143 ),
inference(resolution,[],[f1403,f302]) ).
fof(f11995,plain,
( spl5_569
| ~ spl5_9
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1733,f1402,f270,f11992]) ).
fof(f11992,plain,
( spl5_569
<=> sdtasdt0(xC,xD) = sdtasdt0(xD,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_569])]) ).
fof(f1733,plain,
( sdtasdt0(xC,xD) = sdtasdt0(xD,xC)
| ~ spl5_9
| ~ spl5_143 ),
inference(resolution,[],[f1403,f272]) ).
fof(f11990,plain,
( spl5_568
| ~ spl5_13
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1721,f1398,f290,f11987]) ).
fof(f11987,plain,
( spl5_568
<=> sdtasdt0(xN,xB) = sdtasdt0(xB,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_568])]) ).
fof(f1398,plain,
( spl5_142
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_142])]) ).
fof(f1721,plain,
( sdtasdt0(xN,xB) = sdtasdt0(xB,xN)
| ~ spl5_13
| ~ spl5_142 ),
inference(resolution,[],[f1399,f292]) ).
fof(f1399,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) )
| ~ spl5_142 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f11985,plain,
( spl5_567
| ~ spl5_11
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1720,f1398,f280,f11982]) ).
fof(f11982,plain,
( spl5_567
<=> sdtasdt0(xS,xB) = sdtasdt0(xB,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_567])]) ).
fof(f1720,plain,
( sdtasdt0(xS,xB) = sdtasdt0(xB,xS)
| ~ spl5_11
| ~ spl5_142 ),
inference(resolution,[],[f1399,f282]) ).
fof(f11980,plain,
( spl5_566
| ~ spl5_14
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1719,f1398,f295,f11977]) ).
fof(f11977,plain,
( spl5_566
<=> sdtasdt0(xP,xB) = sdtasdt0(xB,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_566])]) ).
fof(f1719,plain,
( sdtasdt0(xP,xB) = sdtasdt0(xB,xP)
| ~ spl5_14
| ~ spl5_142 ),
inference(resolution,[],[f1399,f297]) ).
fof(f11975,plain,
( spl5_565
| ~ spl5_12
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1718,f1398,f285,f11972]) ).
fof(f11972,plain,
( spl5_565
<=> sdtasdt0(xR,xB) = sdtasdt0(xB,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_565])]) ).
fof(f1718,plain,
( sdtasdt0(xR,xB) = sdtasdt0(xB,xR)
| ~ spl5_12
| ~ spl5_142 ),
inference(resolution,[],[f1399,f287]) ).
fof(f11970,plain,
( spl5_564
| ~ spl5_7
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1717,f1398,f260,f11967]) ).
fof(f11967,plain,
( spl5_564
<=> sdtasdt0(xH,xB) = sdtasdt0(xB,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_564])]) ).
fof(f1717,plain,
( sdtasdt0(xH,xB) = sdtasdt0(xB,xH)
| ~ spl5_7
| ~ spl5_142 ),
inference(resolution,[],[f1399,f262]) ).
fof(f11965,plain,
( spl5_563
| ~ spl5_6
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1716,f1398,f255,f11962]) ).
fof(f11962,plain,
( spl5_563
<=> sdtasdt0(xG,xB) = sdtasdt0(xB,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_563])]) ).
fof(f1716,plain,
( sdtasdt0(xG,xB) = sdtasdt0(xB,xG)
| ~ spl5_6
| ~ spl5_142 ),
inference(resolution,[],[f1399,f257]) ).
fof(f11960,plain,
( spl5_562
| ~ spl5_8
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1715,f1398,f265,f11957]) ).
fof(f11957,plain,
( spl5_562
<=> sdtasdt0(xF,xB) = sdtasdt0(xB,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_562])]) ).
fof(f1715,plain,
( sdtasdt0(xF,xB) = sdtasdt0(xB,xF)
| ~ spl5_8
| ~ spl5_142 ),
inference(resolution,[],[f1399,f267]) ).
fof(f11955,plain,
( spl5_561
| ~ spl5_15
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1714,f1398,f300,f11952]) ).
fof(f11952,plain,
( spl5_561
<=> sdtasdt0(xE,xB) = sdtasdt0(xB,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_561])]) ).
fof(f1714,plain,
( sdtasdt0(xE,xB) = sdtasdt0(xB,xE)
| ~ spl5_15
| ~ spl5_142 ),
inference(resolution,[],[f1399,f302]) ).
fof(f11950,plain,
( spl5_560
| ~ spl5_9
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1713,f1398,f270,f11947]) ).
fof(f11947,plain,
( spl5_560
<=> sdtasdt0(xD,xB) = sdtasdt0(xB,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_560])]) ).
fof(f1713,plain,
( sdtasdt0(xD,xB) = sdtasdt0(xB,xD)
| ~ spl5_9
| ~ spl5_142 ),
inference(resolution,[],[f1399,f272]) ).
fof(f11945,plain,
( spl5_559
| ~ spl5_10
| ~ spl5_142 ),
inference(avatar_split_clause,[],[f1712,f1398,f275,f11942]) ).
fof(f11942,plain,
( spl5_559
<=> sdtasdt0(xC,xB) = sdtasdt0(xB,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_559])]) ).
fof(f1712,plain,
( sdtasdt0(xC,xB) = sdtasdt0(xB,xC)
| ~ spl5_10
| ~ spl5_142 ),
inference(resolution,[],[f1399,f277]) ).
fof(f11940,plain,
( spl5_558
| ~ spl5_13
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1701,f1394,f290,f11937]) ).
fof(f11937,plain,
( spl5_558
<=> sdtasdt0(xN,xA) = sdtasdt0(xA,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_558])]) ).
fof(f1701,plain,
( sdtasdt0(xN,xA) = sdtasdt0(xA,xN)
| ~ spl5_13
| ~ spl5_141 ),
inference(resolution,[],[f1395,f292]) ).
fof(f11935,plain,
( spl5_557
| ~ spl5_11
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1700,f1394,f280,f11932]) ).
fof(f11932,plain,
( spl5_557
<=> sdtasdt0(xS,xA) = sdtasdt0(xA,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_557])]) ).
fof(f1700,plain,
( sdtasdt0(xS,xA) = sdtasdt0(xA,xS)
| ~ spl5_11
| ~ spl5_141 ),
inference(resolution,[],[f1395,f282]) ).
fof(f11930,plain,
( spl5_556
| ~ spl5_14
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1699,f1394,f295,f11927]) ).
fof(f11927,plain,
( spl5_556
<=> sdtasdt0(xP,xA) = sdtasdt0(xA,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_556])]) ).
fof(f1699,plain,
( sdtasdt0(xP,xA) = sdtasdt0(xA,xP)
| ~ spl5_14
| ~ spl5_141 ),
inference(resolution,[],[f1395,f297]) ).
fof(f11925,plain,
( spl5_555
| ~ spl5_12
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1698,f1394,f285,f11922]) ).
fof(f11922,plain,
( spl5_555
<=> sdtasdt0(xR,xA) = sdtasdt0(xA,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_555])]) ).
fof(f1698,plain,
( sdtasdt0(xR,xA) = sdtasdt0(xA,xR)
| ~ spl5_12
| ~ spl5_141 ),
inference(resolution,[],[f1395,f287]) ).
fof(f11920,plain,
( spl5_554
| ~ spl5_7
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1697,f1394,f260,f11917]) ).
fof(f11917,plain,
( spl5_554
<=> sdtasdt0(xH,xA) = sdtasdt0(xA,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_554])]) ).
fof(f1697,plain,
( sdtasdt0(xH,xA) = sdtasdt0(xA,xH)
| ~ spl5_7
| ~ spl5_141 ),
inference(resolution,[],[f1395,f262]) ).
fof(f11915,plain,
( spl5_553
| ~ spl5_6
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1696,f1394,f255,f11912]) ).
fof(f11912,plain,
( spl5_553
<=> sdtasdt0(xG,xA) = sdtasdt0(xA,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_553])]) ).
fof(f1696,plain,
( sdtasdt0(xG,xA) = sdtasdt0(xA,xG)
| ~ spl5_6
| ~ spl5_141 ),
inference(resolution,[],[f1395,f257]) ).
fof(f11910,plain,
( spl5_552
| ~ spl5_8
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1695,f1394,f265,f11907]) ).
fof(f11907,plain,
( spl5_552
<=> sdtasdt0(xF,xA) = sdtasdt0(xA,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_552])]) ).
fof(f1695,plain,
( sdtasdt0(xF,xA) = sdtasdt0(xA,xF)
| ~ spl5_8
| ~ spl5_141 ),
inference(resolution,[],[f1395,f267]) ).
fof(f11905,plain,
( spl5_551
| ~ spl5_15
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1694,f1394,f300,f11902]) ).
fof(f11902,plain,
( spl5_551
<=> sdtasdt0(xE,xA) = sdtasdt0(xA,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_551])]) ).
fof(f1694,plain,
( sdtasdt0(xE,xA) = sdtasdt0(xA,xE)
| ~ spl5_15
| ~ spl5_141 ),
inference(resolution,[],[f1395,f302]) ).
fof(f11900,plain,
( spl5_550
| ~ spl5_9
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1693,f1394,f270,f11897]) ).
fof(f11897,plain,
( spl5_550
<=> sdtasdt0(xD,xA) = sdtasdt0(xA,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_550])]) ).
fof(f1693,plain,
( sdtasdt0(xD,xA) = sdtasdt0(xA,xD)
| ~ spl5_9
| ~ spl5_141 ),
inference(resolution,[],[f1395,f272]) ).
fof(f11895,plain,
( spl5_549
| ~ spl5_10
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1692,f1394,f275,f11892]) ).
fof(f11892,plain,
( spl5_549
<=> sdtasdt0(xC,xA) = sdtasdt0(xA,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_549])]) ).
fof(f1692,plain,
( sdtasdt0(xC,xA) = sdtasdt0(xA,xC)
| ~ spl5_10
| ~ spl5_141 ),
inference(resolution,[],[f1395,f277]) ).
fof(f11890,plain,
( spl5_548
| ~ spl5_13
| ~ spl5_139 ),
inference(avatar_split_clause,[],[f1658,f1386,f290,f11887]) ).
fof(f11887,plain,
( spl5_548
<=> sdtpldt0(xN,xS) = sdtpldt0(xS,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_548])]) ).
fof(f1386,plain,
( spl5_139
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_139])]) ).
fof(f1658,plain,
( sdtpldt0(xN,xS) = sdtpldt0(xS,xN)
| ~ spl5_13
| ~ spl5_139 ),
inference(resolution,[],[f1387,f292]) ).
fof(f1387,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) )
| ~ spl5_139 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f11885,plain,
( spl5_547
| ~ spl5_13
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1639,f1382,f290,f11882]) ).
fof(f11882,plain,
( spl5_547
<=> sdtpldt0(xN,xP) = sdtpldt0(xP,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_547])]) ).
fof(f1382,plain,
( spl5_138
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_138])]) ).
fof(f1639,plain,
( sdtpldt0(xN,xP) = sdtpldt0(xP,xN)
| ~ spl5_13
| ~ spl5_138 ),
inference(resolution,[],[f1383,f292]) ).
fof(f1383,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) )
| ~ spl5_138 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f11880,plain,
( spl5_546
| ~ spl5_11
| ~ spl5_138 ),
inference(avatar_split_clause,[],[f1638,f1382,f280,f11877]) ).
fof(f11877,plain,
( spl5_546
<=> sdtpldt0(xS,xP) = sdtpldt0(xP,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_546])]) ).
fof(f1638,plain,
( sdtpldt0(xS,xP) = sdtpldt0(xP,xS)
| ~ spl5_11
| ~ spl5_138 ),
inference(resolution,[],[f1383,f282]) ).
fof(f11875,plain,
( spl5_545
| ~ spl5_13
| ~ spl5_137 ),
inference(avatar_split_clause,[],[f1620,f1378,f290,f11872]) ).
fof(f11872,plain,
( spl5_545
<=> sdtpldt0(xN,xR) = sdtpldt0(xR,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_545])]) ).
fof(f1378,plain,
( spl5_137
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_137])]) ).
fof(f1620,plain,
( sdtpldt0(xN,xR) = sdtpldt0(xR,xN)
| ~ spl5_13
| ~ spl5_137 ),
inference(resolution,[],[f1379,f292]) ).
fof(f1379,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) )
| ~ spl5_137 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f11870,plain,
( spl5_544
| ~ spl5_11
| ~ spl5_137 ),
inference(avatar_split_clause,[],[f1619,f1378,f280,f11867]) ).
fof(f11867,plain,
( spl5_544
<=> sdtpldt0(xS,xR) = sdtpldt0(xR,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_544])]) ).
fof(f1619,plain,
( sdtpldt0(xS,xR) = sdtpldt0(xR,xS)
| ~ spl5_11
| ~ spl5_137 ),
inference(resolution,[],[f1379,f282]) ).
fof(f11865,plain,
( spl5_543
| ~ spl5_14
| ~ spl5_137 ),
inference(avatar_split_clause,[],[f1618,f1378,f295,f11862]) ).
fof(f11862,plain,
( spl5_543
<=> sdtpldt0(xP,xR) = sdtpldt0(xR,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_543])]) ).
fof(f1618,plain,
( sdtpldt0(xP,xR) = sdtpldt0(xR,xP)
| ~ spl5_14
| ~ spl5_137 ),
inference(resolution,[],[f1379,f297]) ).
fof(f11860,plain,
( spl5_542
| ~ spl5_13
| ~ spl5_136 ),
inference(avatar_split_clause,[],[f1601,f1374,f290,f11857]) ).
fof(f11857,plain,
( spl5_542
<=> sdtpldt0(xN,xH) = sdtpldt0(xH,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_542])]) ).
fof(f1374,plain,
( spl5_136
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_136])]) ).
fof(f1601,plain,
( sdtpldt0(xN,xH) = sdtpldt0(xH,xN)
| ~ spl5_13
| ~ spl5_136 ),
inference(resolution,[],[f1375,f292]) ).
fof(f1375,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) )
| ~ spl5_136 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f11855,plain,
( spl5_541
| ~ spl5_11
| ~ spl5_136 ),
inference(avatar_split_clause,[],[f1600,f1374,f280,f11852]) ).
fof(f11852,plain,
( spl5_541
<=> sdtpldt0(xS,xH) = sdtpldt0(xH,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_541])]) ).
fof(f1600,plain,
( sdtpldt0(xS,xH) = sdtpldt0(xH,xS)
| ~ spl5_11
| ~ spl5_136 ),
inference(resolution,[],[f1375,f282]) ).
fof(f11850,plain,
( spl5_540
| ~ spl5_14
| ~ spl5_136 ),
inference(avatar_split_clause,[],[f1599,f1374,f295,f11847]) ).
fof(f11847,plain,
( spl5_540
<=> sdtpldt0(xP,xH) = sdtpldt0(xH,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_540])]) ).
fof(f1599,plain,
( sdtpldt0(xP,xH) = sdtpldt0(xH,xP)
| ~ spl5_14
| ~ spl5_136 ),
inference(resolution,[],[f1375,f297]) ).
fof(f11845,plain,
( spl5_539
| ~ spl5_12
| ~ spl5_136 ),
inference(avatar_split_clause,[],[f1598,f1374,f285,f11842]) ).
fof(f11842,plain,
( spl5_539
<=> sdtpldt0(xR,xH) = sdtpldt0(xH,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_539])]) ).
fof(f1598,plain,
( sdtpldt0(xR,xH) = sdtpldt0(xH,xR)
| ~ spl5_12
| ~ spl5_136 ),
inference(resolution,[],[f1375,f287]) ).
fof(f11840,plain,
( spl5_538
| ~ spl5_13
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f1582,f1370,f290,f11837]) ).
fof(f11837,plain,
( spl5_538
<=> sdtpldt0(xN,xG) = sdtpldt0(xG,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_538])]) ).
fof(f1370,plain,
( spl5_135
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_135])]) ).
fof(f1582,plain,
( sdtpldt0(xN,xG) = sdtpldt0(xG,xN)
| ~ spl5_13
| ~ spl5_135 ),
inference(resolution,[],[f1371,f292]) ).
fof(f1371,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) )
| ~ spl5_135 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f11835,plain,
( spl5_537
| ~ spl5_11
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f1581,f1370,f280,f11832]) ).
fof(f11832,plain,
( spl5_537
<=> sdtpldt0(xS,xG) = sdtpldt0(xG,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_537])]) ).
fof(f1581,plain,
( sdtpldt0(xS,xG) = sdtpldt0(xG,xS)
| ~ spl5_11
| ~ spl5_135 ),
inference(resolution,[],[f1371,f282]) ).
fof(f11830,plain,
( spl5_536
| ~ spl5_14
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f1580,f1370,f295,f11827]) ).
fof(f11827,plain,
( spl5_536
<=> sdtpldt0(xP,xG) = sdtpldt0(xG,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_536])]) ).
fof(f1580,plain,
( sdtpldt0(xP,xG) = sdtpldt0(xG,xP)
| ~ spl5_14
| ~ spl5_135 ),
inference(resolution,[],[f1371,f297]) ).
fof(f11825,plain,
( spl5_535
| ~ spl5_12
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f1579,f1370,f285,f11822]) ).
fof(f11822,plain,
( spl5_535
<=> sdtpldt0(xR,xG) = sdtpldt0(xG,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_535])]) ).
fof(f1579,plain,
( sdtpldt0(xR,xG) = sdtpldt0(xG,xR)
| ~ spl5_12
| ~ spl5_135 ),
inference(resolution,[],[f1371,f287]) ).
fof(f11820,plain,
( spl5_534
| ~ spl5_7
| ~ spl5_135 ),
inference(avatar_split_clause,[],[f1578,f1370,f260,f11817]) ).
fof(f11817,plain,
( spl5_534
<=> sdtpldt0(xH,xG) = sdtpldt0(xG,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_534])]) ).
fof(f1578,plain,
( sdtpldt0(xH,xG) = sdtpldt0(xG,xH)
| ~ spl5_7
| ~ spl5_135 ),
inference(resolution,[],[f1371,f262]) ).
fof(f11815,plain,
( spl5_533
| ~ spl5_13
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f1563,f1366,f290,f11812]) ).
fof(f11812,plain,
( spl5_533
<=> sdtpldt0(xN,xF) = sdtpldt0(xF,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_533])]) ).
fof(f1366,plain,
( spl5_134
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_134])]) ).
fof(f1563,plain,
( sdtpldt0(xN,xF) = sdtpldt0(xF,xN)
| ~ spl5_13
| ~ spl5_134 ),
inference(resolution,[],[f1367,f292]) ).
fof(f1367,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) )
| ~ spl5_134 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f11810,plain,
( spl5_532
| ~ spl5_11
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f1562,f1366,f280,f11807]) ).
fof(f11807,plain,
( spl5_532
<=> sdtpldt0(xS,xF) = sdtpldt0(xF,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_532])]) ).
fof(f1562,plain,
( sdtpldt0(xS,xF) = sdtpldt0(xF,xS)
| ~ spl5_11
| ~ spl5_134 ),
inference(resolution,[],[f1367,f282]) ).
fof(f11805,plain,
( spl5_531
| ~ spl5_14
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f1561,f1366,f295,f11802]) ).
fof(f11802,plain,
( spl5_531
<=> sdtpldt0(xP,xF) = sdtpldt0(xF,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_531])]) ).
fof(f1561,plain,
( sdtpldt0(xP,xF) = sdtpldt0(xF,xP)
| ~ spl5_14
| ~ spl5_134 ),
inference(resolution,[],[f1367,f297]) ).
fof(f11800,plain,
( spl5_530
| ~ spl5_12
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f1560,f1366,f285,f11797]) ).
fof(f11797,plain,
( spl5_530
<=> sdtpldt0(xR,xF) = sdtpldt0(xF,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_530])]) ).
fof(f1560,plain,
( sdtpldt0(xR,xF) = sdtpldt0(xF,xR)
| ~ spl5_12
| ~ spl5_134 ),
inference(resolution,[],[f1367,f287]) ).
fof(f11795,plain,
( spl5_529
| ~ spl5_7
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f1559,f1366,f260,f11792]) ).
fof(f11792,plain,
( spl5_529
<=> sdtpldt0(xH,xF) = sdtpldt0(xF,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_529])]) ).
fof(f1559,plain,
( sdtpldt0(xH,xF) = sdtpldt0(xF,xH)
| ~ spl5_7
| ~ spl5_134 ),
inference(resolution,[],[f1367,f262]) ).
fof(f11790,plain,
( spl5_528
| ~ spl5_6
| ~ spl5_134 ),
inference(avatar_split_clause,[],[f1558,f1366,f255,f11787]) ).
fof(f11787,plain,
( spl5_528
<=> sdtpldt0(xG,xF) = sdtpldt0(xF,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_528])]) ).
fof(f1558,plain,
( sdtpldt0(xG,xF) = sdtpldt0(xF,xG)
| ~ spl5_6
| ~ spl5_134 ),
inference(resolution,[],[f1367,f257]) ).
fof(f11785,plain,
( spl5_527
| ~ spl5_13
| ~ spl5_132 ),
inference(avatar_split_clause,[],[f1544,f1357,f290,f11782]) ).
fof(f11782,plain,
( spl5_527
<=> sdtpldt0(xN,xE) = sdtpldt0(xE,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_527])]) ).
fof(f1357,plain,
( spl5_132
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_132])]) ).
fof(f1544,plain,
( sdtpldt0(xN,xE) = sdtpldt0(xE,xN)
| ~ spl5_13
| ~ spl5_132 ),
inference(resolution,[],[f1358,f292]) ).
fof(f1358,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) )
| ~ spl5_132 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f11780,plain,
( spl5_526
| ~ spl5_11
| ~ spl5_132 ),
inference(avatar_split_clause,[],[f1543,f1357,f280,f11777]) ).
fof(f11777,plain,
( spl5_526
<=> sdtpldt0(xS,xE) = sdtpldt0(xE,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_526])]) ).
fof(f1543,plain,
( sdtpldt0(xS,xE) = sdtpldt0(xE,xS)
| ~ spl5_11
| ~ spl5_132 ),
inference(resolution,[],[f1358,f282]) ).
fof(f11775,plain,
( spl5_525
| ~ spl5_14
| ~ spl5_132 ),
inference(avatar_split_clause,[],[f1542,f1357,f295,f11772]) ).
fof(f11772,plain,
( spl5_525
<=> sdtpldt0(xP,xE) = sdtpldt0(xE,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_525])]) ).
fof(f1542,plain,
( sdtpldt0(xP,xE) = sdtpldt0(xE,xP)
| ~ spl5_14
| ~ spl5_132 ),
inference(resolution,[],[f1358,f297]) ).
fof(f11770,plain,
( spl5_524
| ~ spl5_12
| ~ spl5_132 ),
inference(avatar_split_clause,[],[f1541,f1357,f285,f11767]) ).
fof(f11767,plain,
( spl5_524
<=> sdtpldt0(xR,xE) = sdtpldt0(xE,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_524])]) ).
fof(f1541,plain,
( sdtpldt0(xR,xE) = sdtpldt0(xE,xR)
| ~ spl5_12
| ~ spl5_132 ),
inference(resolution,[],[f1358,f287]) ).
fof(f11765,plain,
( spl5_523
| ~ spl5_7
| ~ spl5_132 ),
inference(avatar_split_clause,[],[f1540,f1357,f260,f11762]) ).
fof(f11762,plain,
( spl5_523
<=> sdtpldt0(xH,xE) = sdtpldt0(xE,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_523])]) ).
fof(f1540,plain,
( sdtpldt0(xH,xE) = sdtpldt0(xE,xH)
| ~ spl5_7
| ~ spl5_132 ),
inference(resolution,[],[f1358,f262]) ).
fof(f11760,plain,
( spl5_522
| ~ spl5_6
| ~ spl5_132 ),
inference(avatar_split_clause,[],[f1539,f1357,f255,f11757]) ).
fof(f11757,plain,
( spl5_522
<=> sdtpldt0(xG,xE) = sdtpldt0(xE,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_522])]) ).
fof(f1539,plain,
( sdtpldt0(xG,xE) = sdtpldt0(xE,xG)
| ~ spl5_6
| ~ spl5_132 ),
inference(resolution,[],[f1358,f257]) ).
fof(f11755,plain,
( spl5_521
| ~ spl5_8
| ~ spl5_132 ),
inference(avatar_split_clause,[],[f1538,f1357,f265,f11752]) ).
fof(f11752,plain,
( spl5_521
<=> sdtpldt0(xF,xE) = sdtpldt0(xE,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_521])]) ).
fof(f1538,plain,
( sdtpldt0(xF,xE) = sdtpldt0(xE,xF)
| ~ spl5_8
| ~ spl5_132 ),
inference(resolution,[],[f1358,f267]) ).
fof(f11750,plain,
( spl5_520
| ~ spl5_13
| ~ spl5_131 ),
inference(avatar_split_clause,[],[f1525,f1353,f290,f11747]) ).
fof(f11747,plain,
( spl5_520
<=> sdtpldt0(xN,xD) = sdtpldt0(xD,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_520])]) ).
fof(f1353,plain,
( spl5_131
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_131])]) ).
fof(f1525,plain,
( sdtpldt0(xN,xD) = sdtpldt0(xD,xN)
| ~ spl5_13
| ~ spl5_131 ),
inference(resolution,[],[f1354,f292]) ).
fof(f1354,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) )
| ~ spl5_131 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f11745,plain,
( spl5_519
| ~ spl5_11
| ~ spl5_131 ),
inference(avatar_split_clause,[],[f1524,f1353,f280,f11742]) ).
fof(f11742,plain,
( spl5_519
<=> sdtpldt0(xS,xD) = sdtpldt0(xD,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_519])]) ).
fof(f1524,plain,
( sdtpldt0(xS,xD) = sdtpldt0(xD,xS)
| ~ spl5_11
| ~ spl5_131 ),
inference(resolution,[],[f1354,f282]) ).
fof(f11740,plain,
( spl5_518
| ~ spl5_14
| ~ spl5_131 ),
inference(avatar_split_clause,[],[f1523,f1353,f295,f11737]) ).
fof(f11737,plain,
( spl5_518
<=> sdtpldt0(xP,xD) = sdtpldt0(xD,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_518])]) ).
fof(f1523,plain,
( sdtpldt0(xP,xD) = sdtpldt0(xD,xP)
| ~ spl5_14
| ~ spl5_131 ),
inference(resolution,[],[f1354,f297]) ).
fof(f11735,plain,
( spl5_517
| ~ spl5_12
| ~ spl5_131 ),
inference(avatar_split_clause,[],[f1522,f1353,f285,f11732]) ).
fof(f11732,plain,
( spl5_517
<=> sdtpldt0(xR,xD) = sdtpldt0(xD,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_517])]) ).
fof(f1522,plain,
( sdtpldt0(xR,xD) = sdtpldt0(xD,xR)
| ~ spl5_12
| ~ spl5_131 ),
inference(resolution,[],[f1354,f287]) ).
fof(f11730,plain,
( spl5_516
| ~ spl5_7
| ~ spl5_131 ),
inference(avatar_split_clause,[],[f1521,f1353,f260,f11727]) ).
fof(f11727,plain,
( spl5_516
<=> sdtpldt0(xH,xD) = sdtpldt0(xD,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_516])]) ).
fof(f1521,plain,
( sdtpldt0(xH,xD) = sdtpldt0(xD,xH)
| ~ spl5_7
| ~ spl5_131 ),
inference(resolution,[],[f1354,f262]) ).
fof(f11725,plain,
( spl5_515
| ~ spl5_6
| ~ spl5_131 ),
inference(avatar_split_clause,[],[f1520,f1353,f255,f11722]) ).
fof(f11722,plain,
( spl5_515
<=> sdtpldt0(xG,xD) = sdtpldt0(xD,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_515])]) ).
fof(f1520,plain,
( sdtpldt0(xG,xD) = sdtpldt0(xD,xG)
| ~ spl5_6
| ~ spl5_131 ),
inference(resolution,[],[f1354,f257]) ).
fof(f11720,plain,
( spl5_514
| ~ spl5_8
| ~ spl5_131 ),
inference(avatar_split_clause,[],[f1519,f1353,f265,f11717]) ).
fof(f11717,plain,
( spl5_514
<=> sdtpldt0(xF,xD) = sdtpldt0(xD,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_514])]) ).
fof(f1519,plain,
( sdtpldt0(xF,xD) = sdtpldt0(xD,xF)
| ~ spl5_8
| ~ spl5_131 ),
inference(resolution,[],[f1354,f267]) ).
fof(f11715,plain,
( spl5_513
| ~ spl5_15
| ~ spl5_131 ),
inference(avatar_split_clause,[],[f1518,f1353,f300,f11712]) ).
fof(f11712,plain,
( spl5_513
<=> sdtpldt0(xE,xD) = sdtpldt0(xD,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_513])]) ).
fof(f1518,plain,
( sdtpldt0(xE,xD) = sdtpldt0(xD,xE)
| ~ spl5_15
| ~ spl5_131 ),
inference(resolution,[],[f1354,f302]) ).
fof(f11710,plain,
( spl5_512
| ~ spl5_13
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1506,f1349,f290,f11707]) ).
fof(f11707,plain,
( spl5_512
<=> sdtpldt0(xN,xC) = sdtpldt0(xC,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_512])]) ).
fof(f1349,plain,
( spl5_130
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_130])]) ).
fof(f1506,plain,
( sdtpldt0(xN,xC) = sdtpldt0(xC,xN)
| ~ spl5_13
| ~ spl5_130 ),
inference(resolution,[],[f1350,f292]) ).
fof(f1350,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) )
| ~ spl5_130 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f11705,plain,
( spl5_511
| ~ spl5_11
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1505,f1349,f280,f11702]) ).
fof(f11702,plain,
( spl5_511
<=> sdtpldt0(xS,xC) = sdtpldt0(xC,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_511])]) ).
fof(f1505,plain,
( sdtpldt0(xS,xC) = sdtpldt0(xC,xS)
| ~ spl5_11
| ~ spl5_130 ),
inference(resolution,[],[f1350,f282]) ).
fof(f11700,plain,
( spl5_510
| ~ spl5_14
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1504,f1349,f295,f11697]) ).
fof(f11697,plain,
( spl5_510
<=> sdtpldt0(xP,xC) = sdtpldt0(xC,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_510])]) ).
fof(f1504,plain,
( sdtpldt0(xP,xC) = sdtpldt0(xC,xP)
| ~ spl5_14
| ~ spl5_130 ),
inference(resolution,[],[f1350,f297]) ).
fof(f11695,plain,
( spl5_509
| ~ spl5_12
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1503,f1349,f285,f11692]) ).
fof(f11692,plain,
( spl5_509
<=> sdtpldt0(xR,xC) = sdtpldt0(xC,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_509])]) ).
fof(f1503,plain,
( sdtpldt0(xR,xC) = sdtpldt0(xC,xR)
| ~ spl5_12
| ~ spl5_130 ),
inference(resolution,[],[f1350,f287]) ).
fof(f11690,plain,
( spl5_508
| ~ spl5_7
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1502,f1349,f260,f11687]) ).
fof(f11687,plain,
( spl5_508
<=> sdtpldt0(xH,xC) = sdtpldt0(xC,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_508])]) ).
fof(f1502,plain,
( sdtpldt0(xH,xC) = sdtpldt0(xC,xH)
| ~ spl5_7
| ~ spl5_130 ),
inference(resolution,[],[f1350,f262]) ).
fof(f11685,plain,
( spl5_507
| ~ spl5_6
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1501,f1349,f255,f11682]) ).
fof(f11682,plain,
( spl5_507
<=> sdtpldt0(xG,xC) = sdtpldt0(xC,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_507])]) ).
fof(f1501,plain,
( sdtpldt0(xG,xC) = sdtpldt0(xC,xG)
| ~ spl5_6
| ~ spl5_130 ),
inference(resolution,[],[f1350,f257]) ).
fof(f11680,plain,
( spl5_506
| ~ spl5_8
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1500,f1349,f265,f11677]) ).
fof(f11677,plain,
( spl5_506
<=> sdtpldt0(xF,xC) = sdtpldt0(xC,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_506])]) ).
fof(f1500,plain,
( sdtpldt0(xF,xC) = sdtpldt0(xC,xF)
| ~ spl5_8
| ~ spl5_130 ),
inference(resolution,[],[f1350,f267]) ).
fof(f11675,plain,
( spl5_505
| ~ spl5_15
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1499,f1349,f300,f11672]) ).
fof(f11672,plain,
( spl5_505
<=> sdtpldt0(xE,xC) = sdtpldt0(xC,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_505])]) ).
fof(f1499,plain,
( sdtpldt0(xE,xC) = sdtpldt0(xC,xE)
| ~ spl5_15
| ~ spl5_130 ),
inference(resolution,[],[f1350,f302]) ).
fof(f11670,plain,
( spl5_504
| ~ spl5_9
| ~ spl5_130 ),
inference(avatar_split_clause,[],[f1498,f1349,f270,f11667]) ).
fof(f11667,plain,
( spl5_504
<=> sdtpldt0(xD,xC) = sdtpldt0(xC,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_504])]) ).
fof(f1498,plain,
( sdtpldt0(xD,xC) = sdtpldt0(xC,xD)
| ~ spl5_9
| ~ spl5_130 ),
inference(resolution,[],[f1350,f272]) ).
fof(f11665,plain,
( spl5_503
| ~ spl5_13
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1487,f1345,f290,f11662]) ).
fof(f11662,plain,
( spl5_503
<=> sdtpldt0(xN,xB) = sdtpldt0(xB,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_503])]) ).
fof(f1345,plain,
( spl5_129
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_129])]) ).
fof(f1487,plain,
( sdtpldt0(xN,xB) = sdtpldt0(xB,xN)
| ~ spl5_13
| ~ spl5_129 ),
inference(resolution,[],[f1346,f292]) ).
fof(f1346,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) )
| ~ spl5_129 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f11660,plain,
( spl5_502
| ~ spl5_11
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1486,f1345,f280,f11657]) ).
fof(f11657,plain,
( spl5_502
<=> sdtpldt0(xS,xB) = sdtpldt0(xB,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_502])]) ).
fof(f1486,plain,
( sdtpldt0(xS,xB) = sdtpldt0(xB,xS)
| ~ spl5_11
| ~ spl5_129 ),
inference(resolution,[],[f1346,f282]) ).
fof(f11655,plain,
( spl5_501
| ~ spl5_14
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1485,f1345,f295,f11652]) ).
fof(f11652,plain,
( spl5_501
<=> sdtpldt0(xP,xB) = sdtpldt0(xB,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_501])]) ).
fof(f1485,plain,
( sdtpldt0(xP,xB) = sdtpldt0(xB,xP)
| ~ spl5_14
| ~ spl5_129 ),
inference(resolution,[],[f1346,f297]) ).
fof(f11650,plain,
( spl5_500
| ~ spl5_12
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1484,f1345,f285,f11647]) ).
fof(f11647,plain,
( spl5_500
<=> sdtpldt0(xR,xB) = sdtpldt0(xB,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_500])]) ).
fof(f1484,plain,
( sdtpldt0(xR,xB) = sdtpldt0(xB,xR)
| ~ spl5_12
| ~ spl5_129 ),
inference(resolution,[],[f1346,f287]) ).
fof(f11645,plain,
( spl5_499
| ~ spl5_7
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1483,f1345,f260,f11642]) ).
fof(f11642,plain,
( spl5_499
<=> sdtpldt0(xH,xB) = sdtpldt0(xB,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_499])]) ).
fof(f1483,plain,
( sdtpldt0(xH,xB) = sdtpldt0(xB,xH)
| ~ spl5_7
| ~ spl5_129 ),
inference(resolution,[],[f1346,f262]) ).
fof(f11640,plain,
( spl5_498
| ~ spl5_6
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1482,f1345,f255,f11637]) ).
fof(f11637,plain,
( spl5_498
<=> sdtpldt0(xG,xB) = sdtpldt0(xB,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_498])]) ).
fof(f1482,plain,
( sdtpldt0(xG,xB) = sdtpldt0(xB,xG)
| ~ spl5_6
| ~ spl5_129 ),
inference(resolution,[],[f1346,f257]) ).
fof(f11635,plain,
( spl5_497
| ~ spl5_8
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1481,f1345,f265,f11632]) ).
fof(f11632,plain,
( spl5_497
<=> sdtpldt0(xF,xB) = sdtpldt0(xB,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_497])]) ).
fof(f1481,plain,
( sdtpldt0(xF,xB) = sdtpldt0(xB,xF)
| ~ spl5_8
| ~ spl5_129 ),
inference(resolution,[],[f1346,f267]) ).
fof(f11630,plain,
( spl5_496
| ~ spl5_15
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1480,f1345,f300,f11627]) ).
fof(f11627,plain,
( spl5_496
<=> sdtpldt0(xE,xB) = sdtpldt0(xB,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_496])]) ).
fof(f1480,plain,
( sdtpldt0(xE,xB) = sdtpldt0(xB,xE)
| ~ spl5_15
| ~ spl5_129 ),
inference(resolution,[],[f1346,f302]) ).
fof(f11625,plain,
( spl5_495
| ~ spl5_9
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1479,f1345,f270,f11622]) ).
fof(f11622,plain,
( spl5_495
<=> sdtpldt0(xD,xB) = sdtpldt0(xB,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_495])]) ).
fof(f1479,plain,
( sdtpldt0(xD,xB) = sdtpldt0(xB,xD)
| ~ spl5_9
| ~ spl5_129 ),
inference(resolution,[],[f1346,f272]) ).
fof(f11620,plain,
( spl5_494
| ~ spl5_10
| ~ spl5_129 ),
inference(avatar_split_clause,[],[f1478,f1345,f275,f11617]) ).
fof(f11617,plain,
( spl5_494
<=> sdtpldt0(xC,xB) = sdtpldt0(xB,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_494])]) ).
fof(f1478,plain,
( sdtpldt0(xC,xB) = sdtpldt0(xB,xC)
| ~ spl5_10
| ~ spl5_129 ),
inference(resolution,[],[f1346,f277]) ).
fof(f11615,plain,
( spl5_493
| ~ spl5_13
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1463,f1341,f290,f11612]) ).
fof(f11612,plain,
( spl5_493
<=> sdtpldt0(xN,xA) = sdtpldt0(xA,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_493])]) ).
fof(f1341,plain,
( spl5_128
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_128])]) ).
fof(f1463,plain,
( sdtpldt0(xN,xA) = sdtpldt0(xA,xN)
| ~ spl5_13
| ~ spl5_128 ),
inference(resolution,[],[f1342,f292]) ).
fof(f1342,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) )
| ~ spl5_128 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f11610,plain,
( spl5_492
| ~ spl5_11
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1462,f1341,f280,f11607]) ).
fof(f11607,plain,
( spl5_492
<=> sdtpldt0(xS,xA) = sdtpldt0(xA,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_492])]) ).
fof(f1462,plain,
( sdtpldt0(xS,xA) = sdtpldt0(xA,xS)
| ~ spl5_11
| ~ spl5_128 ),
inference(resolution,[],[f1342,f282]) ).
fof(f11605,plain,
( spl5_491
| ~ spl5_14
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1461,f1341,f295,f11602]) ).
fof(f11602,plain,
( spl5_491
<=> sdtpldt0(xP,xA) = sdtpldt0(xA,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_491])]) ).
fof(f1461,plain,
( sdtpldt0(xP,xA) = sdtpldt0(xA,xP)
| ~ spl5_14
| ~ spl5_128 ),
inference(resolution,[],[f1342,f297]) ).
fof(f11600,plain,
( spl5_490
| ~ spl5_12
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1460,f1341,f285,f11597]) ).
fof(f11597,plain,
( spl5_490
<=> sdtpldt0(xR,xA) = sdtpldt0(xA,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_490])]) ).
fof(f1460,plain,
( sdtpldt0(xR,xA) = sdtpldt0(xA,xR)
| ~ spl5_12
| ~ spl5_128 ),
inference(resolution,[],[f1342,f287]) ).
fof(f11595,plain,
( spl5_489
| ~ spl5_7
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1459,f1341,f260,f11592]) ).
fof(f11592,plain,
( spl5_489
<=> sdtpldt0(xH,xA) = sdtpldt0(xA,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_489])]) ).
fof(f1459,plain,
( sdtpldt0(xH,xA) = sdtpldt0(xA,xH)
| ~ spl5_7
| ~ spl5_128 ),
inference(resolution,[],[f1342,f262]) ).
fof(f11590,plain,
( spl5_488
| ~ spl5_6
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1458,f1341,f255,f11587]) ).
fof(f11587,plain,
( spl5_488
<=> sdtpldt0(xG,xA) = sdtpldt0(xA,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_488])]) ).
fof(f1458,plain,
( sdtpldt0(xG,xA) = sdtpldt0(xA,xG)
| ~ spl5_6
| ~ spl5_128 ),
inference(resolution,[],[f1342,f257]) ).
fof(f11585,plain,
( spl5_487
| ~ spl5_8
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1457,f1341,f265,f11582]) ).
fof(f11582,plain,
( spl5_487
<=> sdtpldt0(xF,xA) = sdtpldt0(xA,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_487])]) ).
fof(f1457,plain,
( sdtpldt0(xF,xA) = sdtpldt0(xA,xF)
| ~ spl5_8
| ~ spl5_128 ),
inference(resolution,[],[f1342,f267]) ).
fof(f11580,plain,
( spl5_486
| ~ spl5_15
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1456,f1341,f300,f11577]) ).
fof(f11577,plain,
( spl5_486
<=> sdtpldt0(xE,xA) = sdtpldt0(xA,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_486])]) ).
fof(f1456,plain,
( sdtpldt0(xE,xA) = sdtpldt0(xA,xE)
| ~ spl5_15
| ~ spl5_128 ),
inference(resolution,[],[f1342,f302]) ).
fof(f11575,plain,
( spl5_485
| ~ spl5_9
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1455,f1341,f270,f11572]) ).
fof(f11572,plain,
( spl5_485
<=> sdtpldt0(xD,xA) = sdtpldt0(xA,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_485])]) ).
fof(f1455,plain,
( sdtpldt0(xD,xA) = sdtpldt0(xA,xD)
| ~ spl5_9
| ~ spl5_128 ),
inference(resolution,[],[f1342,f272]) ).
fof(f11570,plain,
( spl5_484
| ~ spl5_10
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1454,f1341,f275,f11567]) ).
fof(f11567,plain,
( spl5_484
<=> sdtpldt0(xC,xA) = sdtpldt0(xA,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_484])]) ).
fof(f1454,plain,
( sdtpldt0(xC,xA) = sdtpldt0(xA,xC)
| ~ spl5_10
| ~ spl5_128 ),
inference(resolution,[],[f1342,f277]) ).
fof(f11565,plain,
( spl5_483
| ~ spl5_16
| ~ spl5_128 ),
inference(avatar_split_clause,[],[f1453,f1341,f305,f11562]) ).
fof(f11562,plain,
( spl5_483
<=> sdtpldt0(xB,xA) = sdtpldt0(xA,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_483])]) ).
fof(f1453,plain,
( sdtpldt0(xB,xA) = sdtpldt0(xA,xB)
| ~ spl5_16
| ~ spl5_128 ),
inference(resolution,[],[f1342,f307]) ).
fof(f11551,plain,
( spl5_482
| ~ spl5_23
| ~ spl5_123 ),
inference(avatar_split_clause,[],[f1278,f1275,f340,f11549]) ).
fof(f11549,plain,
( spl5_482
<=> ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_482])]) ).
fof(f340,plain,
( spl5_23
<=> ! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f1275,plain,
( spl5_123
<=> ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_123])]) ).
fof(f1278,plain,
( ! [X0] :
( ~ aVector0(X0)
| sP2(sdtasasdt0(X0,X0)) )
| ~ spl5_23
| ~ spl5_123 ),
inference(resolution,[],[f1276,f341]) ).
fof(f341,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(X0) )
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f1276,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_123 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f11546,plain,
( spl5_481
| ~ spl5_64
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1165,f1155,f549,f11543]) ).
fof(f11543,plain,
( spl5_481
<=> sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_481])]) ).
fof(f549,plain,
( spl5_64
<=> ! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_64])]) ).
fof(f1155,plain,
( spl5_106
<=> sP2(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_106])]) ).
fof(f1165,plain,
( sz0z00 = sdtpldt0(smndt0(sz0z00),sz0z00)
| ~ spl5_64
| ~ spl5_106 ),
inference(resolution,[],[f1157,f550]) ).
fof(f550,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl5_64 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f1157,plain,
( sP2(sz0z00)
| ~ spl5_106 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f11540,plain,
( spl5_480
| ~ spl5_63
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1164,f1155,f545,f11537]) ).
fof(f11537,plain,
( spl5_480
<=> sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_480])]) ).
fof(f545,plain,
( spl5_63
<=> ! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
fof(f1164,plain,
( sz0z00 = sdtpldt0(sz0z00,smndt0(sz0z00))
| ~ spl5_63
| ~ spl5_106 ),
inference(resolution,[],[f1157,f546]) ).
fof(f546,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl5_63 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f10791,plain,
( spl5_479
| ~ spl5_23
| ~ spl5_477 ),
inference(avatar_split_clause,[],[f10406,f10402,f340,f10788]) ).
fof(f10788,plain,
( spl5_479
<=> sP2(sdtasasdt0(xt,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_479])]) ).
fof(f10402,plain,
( spl5_477
<=> aScalar0(sdtasasdt0(xt,xs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_477])]) ).
fof(f10406,plain,
( sP2(sdtasasdt0(xt,xs))
| ~ spl5_23
| ~ spl5_477 ),
inference(resolution,[],[f10404,f341]) ).
fof(f10404,plain,
( aScalar0(sdtasasdt0(xt,xs))
| ~ spl5_477 ),
inference(avatar_component_clause,[],[f10402]) ).
fof(f10686,plain,
( spl5_478
| ~ spl5_23
| ~ spl5_476 ),
inference(avatar_split_clause,[],[f10125,f10121,f340,f10683]) ).
fof(f10683,plain,
( spl5_478
<=> sP2(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_478])]) ).
fof(f10121,plain,
( spl5_476
<=> aScalar0(sdtasasdt0(xs,xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_476])]) ).
fof(f10125,plain,
( sP2(sdtasasdt0(xs,xt))
| ~ spl5_23
| ~ spl5_476 ),
inference(resolution,[],[f10123,f341]) ).
fof(f10123,plain,
( aScalar0(sdtasasdt0(xs,xt))
| ~ spl5_476 ),
inference(avatar_component_clause,[],[f10121]) ).
fof(f10405,plain,
( spl5_477
| ~ spl5_5
| ~ spl5_217 ),
inference(avatar_split_clause,[],[f4278,f4274,f250,f10402]) ).
fof(f250,plain,
( spl5_5
<=> aVector0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f4274,plain,
( spl5_217
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_217])]) ).
fof(f4278,plain,
( ~ aVector0(xt)
| aScalar0(sdtasasdt0(xt,xs))
| ~ spl5_217 ),
inference(equality_resolution,[],[f4275]) ).
fof(f4275,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(X0,xs)) )
| ~ spl5_217 ),
inference(avatar_component_clause,[],[f4274]) ).
fof(f10124,plain,
( spl5_476
| ~ spl5_5
| ~ spl5_216 ),
inference(avatar_split_clause,[],[f4271,f4267,f250,f10121]) ).
fof(f4267,plain,
( spl5_216
<=> ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_216])]) ).
fof(f4271,plain,
( ~ aVector0(xt)
| aScalar0(sdtasasdt0(xs,xt))
| ~ spl5_216 ),
inference(equality_resolution,[],[f4268]) ).
fof(f4268,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| ~ aVector0(X0)
| aScalar0(sdtasasdt0(xs,X0)) )
| ~ spl5_216 ),
inference(avatar_component_clause,[],[f4267]) ).
fof(f10119,plain,
( spl5_475
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_93
| ~ spl5_179 ),
inference(avatar_split_clause,[],[f3548,f3120,f885,f524,f481,f320,f10116]) ).
fof(f10116,plain,
( spl5_475
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_475])]) ).
fof(f320,plain,
( spl5_19
<=> aScalar0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f481,plain,
( spl5_50
<=> sz0z00 = smndt0(sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f524,plain,
( spl5_59
<=> ! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
fof(f885,plain,
( spl5_93
<=> sP2(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f3120,plain,
( spl5_179
<=> ! [X0] :
( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_179])]) ).
fof(f3548,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xN))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_93
| ~ spl5_179 ),
inference(forward_demodulation,[],[f3547,f1150]) ).
fof(f1150,plain,
( sz0z00 = sdtasdt0(sz0z00,xN)
| ~ spl5_59
| ~ spl5_93 ),
inference(resolution,[],[f887,f525]) ).
fof(f525,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) )
| ~ spl5_59 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f887,plain,
( sP2(xN)
| ~ spl5_93 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f3547,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(sz0z00,smndt0(xN))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_179 ),
inference(forward_demodulation,[],[f3529,f483]) ).
fof(f483,plain,
( sz0z00 = smndt0(sz0z00)
| ~ spl5_50 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f3529,plain,
( sdtasdt0(sz0z00,xN) = sdtasdt0(smndt0(sz0z00),smndt0(xN))
| ~ spl5_19
| ~ spl5_179 ),
inference(resolution,[],[f3121,f322]) ).
fof(f322,plain,
( aScalar0(sz0z00)
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f3121,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN)) )
| ~ spl5_179 ),
inference(avatar_component_clause,[],[f3120]) ).
fof(f10114,plain,
( spl5_474
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_87
| ~ spl5_178 ),
inference(avatar_split_clause,[],[f3523,f3116,f826,f524,f481,f320,f10111]) ).
fof(f10111,plain,
( spl5_474
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_474])]) ).
fof(f826,plain,
( spl5_87
<=> sP2(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f3523,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xS))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_87
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3522,f1143]) ).
fof(f1143,plain,
( sz0z00 = sdtasdt0(sz0z00,xS)
| ~ spl5_59
| ~ spl5_87 ),
inference(resolution,[],[f828,f525]) ).
fof(f828,plain,
( sP2(xS)
| ~ spl5_87 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f3522,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(sz0z00,smndt0(xS))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_178 ),
inference(forward_demodulation,[],[f3504,f483]) ).
fof(f3504,plain,
( sdtasdt0(sz0z00,xS) = sdtasdt0(smndt0(sz0z00),smndt0(xS))
| ~ spl5_19
| ~ spl5_178 ),
inference(resolution,[],[f3117,f322]) ).
fof(f10109,plain,
( spl5_473
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_85
| ~ spl5_177 ),
inference(avatar_split_clause,[],[f3498,f3112,f713,f524,f481,f320,f10106]) ).
fof(f10106,plain,
( spl5_473
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_473])]) ).
fof(f713,plain,
( spl5_85
<=> sP2(xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f3112,plain,
( spl5_177
<=> ! [X0] :
( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_177])]) ).
fof(f3498,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xP))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_85
| ~ spl5_177 ),
inference(forward_demodulation,[],[f3497,f1136]) ).
fof(f1136,plain,
( sz0z00 = sdtasdt0(sz0z00,xP)
| ~ spl5_59
| ~ spl5_85 ),
inference(resolution,[],[f715,f525]) ).
fof(f715,plain,
( sP2(xP)
| ~ spl5_85 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f3497,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(sz0z00,smndt0(xP))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_177 ),
inference(forward_demodulation,[],[f3479,f483]) ).
fof(f3479,plain,
( sdtasdt0(sz0z00,xP) = sdtasdt0(smndt0(sz0z00),smndt0(xP))
| ~ spl5_19
| ~ spl5_177 ),
inference(resolution,[],[f3113,f322]) ).
fof(f3113,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP)) )
| ~ spl5_177 ),
inference(avatar_component_clause,[],[f3112]) ).
fof(f10104,plain,
( spl5_472
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_79
| ~ spl5_176 ),
inference(avatar_split_clause,[],[f3467,f3108,f642,f524,f481,f320,f10101]) ).
fof(f10101,plain,
( spl5_472
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_472])]) ).
fof(f642,plain,
( spl5_79
<=> sP2(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f3467,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xR))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_79
| ~ spl5_176 ),
inference(forward_demodulation,[],[f3466,f1129]) ).
fof(f1129,plain,
( sz0z00 = sdtasdt0(sz0z00,xR)
| ~ spl5_59
| ~ spl5_79 ),
inference(resolution,[],[f644,f525]) ).
fof(f644,plain,
( sP2(xR)
| ~ spl5_79 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f3466,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(sz0z00,smndt0(xR))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_176 ),
inference(forward_demodulation,[],[f3448,f483]) ).
fof(f3448,plain,
( sdtasdt0(sz0z00,xR) = sdtasdt0(smndt0(sz0z00),smndt0(xR))
| ~ spl5_19
| ~ spl5_176 ),
inference(resolution,[],[f3109,f322]) ).
fof(f10099,plain,
( spl5_471
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_72
| ~ spl5_175 ),
inference(avatar_split_clause,[],[f3438,f3104,f604,f524,f481,f320,f10096]) ).
fof(f10096,plain,
( spl5_471
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_471])]) ).
fof(f604,plain,
( spl5_72
<=> sP2(xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
fof(f3438,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xH))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_72
| ~ spl5_175 ),
inference(forward_demodulation,[],[f3437,f1122]) ).
fof(f1122,plain,
( sz0z00 = sdtasdt0(sz0z00,xH)
| ~ spl5_59
| ~ spl5_72 ),
inference(resolution,[],[f606,f525]) ).
fof(f606,plain,
( sP2(xH)
| ~ spl5_72 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f3437,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(sz0z00,smndt0(xH))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_175 ),
inference(forward_demodulation,[],[f3419,f483]) ).
fof(f3419,plain,
( sdtasdt0(sz0z00,xH) = sdtasdt0(smndt0(sz0z00),smndt0(xH))
| ~ spl5_19
| ~ spl5_175 ),
inference(resolution,[],[f3105,f322]) ).
fof(f10094,plain,
( spl5_470
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_69
| ~ spl5_174 ),
inference(avatar_split_clause,[],[f3408,f3100,f574,f524,f481,f320,f10091]) ).
fof(f10091,plain,
( spl5_470
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_470])]) ).
fof(f574,plain,
( spl5_69
<=> sP2(xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
fof(f3408,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xG))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_69
| ~ spl5_174 ),
inference(forward_demodulation,[],[f3407,f1115]) ).
fof(f1115,plain,
( sz0z00 = sdtasdt0(sz0z00,xG)
| ~ spl5_59
| ~ spl5_69 ),
inference(resolution,[],[f576,f525]) ).
fof(f576,plain,
( sP2(xG)
| ~ spl5_69 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f3407,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(sz0z00,smndt0(xG))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_174 ),
inference(forward_demodulation,[],[f3389,f483]) ).
fof(f3389,plain,
( sdtasdt0(sz0z00,xG) = sdtasdt0(smndt0(sz0z00),smndt0(xG))
| ~ spl5_19
| ~ spl5_174 ),
inference(resolution,[],[f3101,f322]) ).
fof(f10089,plain,
( spl5_469
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_61
| ~ spl5_173 ),
inference(avatar_split_clause,[],[f3377,f3096,f536,f524,f481,f320,f10086]) ).
fof(f10086,plain,
( spl5_469
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_469])]) ).
fof(f536,plain,
( spl5_61
<=> sP2(xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
fof(f3377,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xF))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_59
| ~ spl5_61
| ~ spl5_173 ),
inference(forward_demodulation,[],[f3376,f1108]) ).
fof(f1108,plain,
( sz0z00 = sdtasdt0(sz0z00,xF)
| ~ spl5_59
| ~ spl5_61 ),
inference(resolution,[],[f538,f525]) ).
fof(f538,plain,
( sP2(xF)
| ~ spl5_61 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f3376,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(sz0z00,smndt0(xF))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_173 ),
inference(forward_demodulation,[],[f3358,f483]) ).
fof(f3358,plain,
( sdtasdt0(sz0z00,xF) = sdtasdt0(smndt0(sz0z00),smndt0(xF))
| ~ spl5_19
| ~ spl5_173 ),
inference(resolution,[],[f3097,f322]) ).
fof(f10084,plain,
( spl5_468
| ~ spl5_19
| ~ spl5_50
| ~ spl5_55
| ~ spl5_59
| ~ spl5_171 ),
inference(avatar_split_clause,[],[f3356,f3087,f524,f507,f481,f320,f10081]) ).
fof(f10081,plain,
( spl5_468
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_468])]) ).
fof(f507,plain,
( spl5_55
<=> sP2(xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
fof(f3356,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xE))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_55
| ~ spl5_59
| ~ spl5_171 ),
inference(forward_demodulation,[],[f3355,f1101]) ).
fof(f1101,plain,
( sz0z00 = sdtasdt0(sz0z00,xE)
| ~ spl5_55
| ~ spl5_59 ),
inference(resolution,[],[f509,f525]) ).
fof(f509,plain,
( sP2(xE)
| ~ spl5_55 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f3355,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(sz0z00,smndt0(xE))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_171 ),
inference(forward_demodulation,[],[f3337,f483]) ).
fof(f3337,plain,
( sdtasdt0(sz0z00,xE) = sdtasdt0(smndt0(sz0z00),smndt0(xE))
| ~ spl5_19
| ~ spl5_171 ),
inference(resolution,[],[f3088,f322]) ).
fof(f10079,plain,
( spl5_467
| ~ spl5_19
| ~ spl5_48
| ~ spl5_50
| ~ spl5_59
| ~ spl5_170 ),
inference(avatar_split_clause,[],[f3328,f3083,f524,f481,f473,f320,f10076]) ).
fof(f10076,plain,
( spl5_467
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_467])]) ).
fof(f473,plain,
( spl5_48
<=> sP2(xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f3328,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xD))
| ~ spl5_19
| ~ spl5_48
| ~ spl5_50
| ~ spl5_59
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3327,f1094]) ).
fof(f1094,plain,
( sz0z00 = sdtasdt0(sz0z00,xD)
| ~ spl5_48
| ~ spl5_59 ),
inference(resolution,[],[f475,f525]) ).
fof(f475,plain,
( sP2(xD)
| ~ spl5_48 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f3327,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(sz0z00,smndt0(xD))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_170 ),
inference(forward_demodulation,[],[f3309,f483]) ).
fof(f3309,plain,
( sdtasdt0(sz0z00,xD) = sdtasdt0(smndt0(sz0z00),smndt0(xD))
| ~ spl5_19
| ~ spl5_170 ),
inference(resolution,[],[f3084,f322]) ).
fof(f10074,plain,
( spl5_466
| ~ spl5_19
| ~ spl5_50
| ~ spl5_169
| ~ spl5_194 ),
inference(avatar_split_clause,[],[f3299,f3181,f3079,f481,f320,f10071]) ).
fof(f10071,plain,
( spl5_466
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_466])]) ).
fof(f3181,plain,
( spl5_194
<=> sz0z00 = sdtasdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_194])]) ).
fof(f3299,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xC))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_169
| ~ spl5_194 ),
inference(forward_demodulation,[],[f3298,f3183]) ).
fof(f3183,plain,
( sz0z00 = sdtasdt0(sz0z00,xC)
| ~ spl5_194 ),
inference(avatar_component_clause,[],[f3181]) ).
fof(f3298,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(sz0z00,smndt0(xC))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_169 ),
inference(forward_demodulation,[],[f3280,f483]) ).
fof(f3280,plain,
( sdtasdt0(sz0z00,xC) = sdtasdt0(smndt0(sz0z00),smndt0(xC))
| ~ spl5_19
| ~ spl5_169 ),
inference(resolution,[],[f3080,f322]) ).
fof(f10069,plain,
( spl5_465
| ~ spl5_19
| ~ spl5_50
| ~ spl5_163
| ~ spl5_168 ),
inference(avatar_split_clause,[],[f3276,f3075,f2541,f481,f320,f10066]) ).
fof(f10066,plain,
( spl5_465
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_465])]) ).
fof(f2541,plain,
( spl5_163
<=> sz0z00 = sdtasdt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_163])]) ).
fof(f3276,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xB))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_163
| ~ spl5_168 ),
inference(forward_demodulation,[],[f3275,f2543]) ).
fof(f2543,plain,
( sz0z00 = sdtasdt0(sz0z00,xB)
| ~ spl5_163 ),
inference(avatar_component_clause,[],[f2541]) ).
fof(f3275,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(sz0z00,smndt0(xB))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_168 ),
inference(forward_demodulation,[],[f3257,f483]) ).
fof(f3257,plain,
( sdtasdt0(sz0z00,xB) = sdtasdt0(smndt0(sz0z00),smndt0(xB))
| ~ spl5_19
| ~ spl5_168 ),
inference(resolution,[],[f3076,f322]) ).
fof(f10064,plain,
( spl5_464
| ~ spl5_19
| ~ spl5_50
| ~ spl5_154
| ~ spl5_167 ),
inference(avatar_split_clause,[],[f3253,f3071,f1466,f481,f320,f10061]) ).
fof(f10061,plain,
( spl5_464
<=> sz0z00 = sdtasdt0(sz0z00,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_464])]) ).
fof(f1466,plain,
( spl5_154
<=> sz0z00 = sdtasdt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_154])]) ).
fof(f3253,plain,
( sz0z00 = sdtasdt0(sz0z00,smndt0(xA))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_154
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3252,f1468]) ).
fof(f1468,plain,
( sz0z00 = sdtasdt0(sz0z00,xA)
| ~ spl5_154 ),
inference(avatar_component_clause,[],[f1466]) ).
fof(f3252,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(sz0z00,smndt0(xA))
| ~ spl5_19
| ~ spl5_50
| ~ spl5_167 ),
inference(forward_demodulation,[],[f3234,f483]) ).
fof(f3234,plain,
( sdtasdt0(sz0z00,xA) = sdtasdt0(smndt0(sz0z00),smndt0(xA))
| ~ spl5_19
| ~ spl5_167 ),
inference(resolution,[],[f3072,f322]) ).
fof(f10059,plain,
( spl5_463
| ~ spl5_13
| ~ spl5_58
| ~ spl5_93
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3038,f2007,f885,f520,f290,f10056]) ).
fof(f10056,plain,
( spl5_463
<=> sz0z00 = sdtasdt0(smndt0(xN),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_463])]) ).
fof(f520,plain,
( spl5_58
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
fof(f2007,plain,
( spl5_160
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_160])]) ).
fof(f3038,plain,
( sz0z00 = sdtasdt0(smndt0(xN),sz0z00)
| ~ spl5_13
| ~ spl5_58
| ~ spl5_93
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3026,f1149]) ).
fof(f1149,plain,
( sz0z00 = sdtasdt0(xN,sz0z00)
| ~ spl5_58
| ~ spl5_93 ),
inference(resolution,[],[f887,f521]) ).
fof(f521,plain,
( ! [X0] :
( ~ sP2(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) )
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f3026,plain,
( sdtasdt0(xN,sz0z00) = sdtasdt0(smndt0(xN),sz0z00)
| ~ spl5_13
| ~ spl5_160 ),
inference(resolution,[],[f2008,f292]) ).
fof(f2008,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00) )
| ~ spl5_160 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f10054,plain,
( spl5_462
| ~ spl5_11
| ~ spl5_58
| ~ spl5_87
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3037,f2007,f826,f520,f280,f10051]) ).
fof(f10051,plain,
( spl5_462
<=> sz0z00 = sdtasdt0(smndt0(xS),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_462])]) ).
fof(f3037,plain,
( sz0z00 = sdtasdt0(smndt0(xS),sz0z00)
| ~ spl5_11
| ~ spl5_58
| ~ spl5_87
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3025,f1142]) ).
fof(f1142,plain,
( sz0z00 = sdtasdt0(xS,sz0z00)
| ~ spl5_58
| ~ spl5_87 ),
inference(resolution,[],[f828,f521]) ).
fof(f3025,plain,
( sdtasdt0(xS,sz0z00) = sdtasdt0(smndt0(xS),sz0z00)
| ~ spl5_11
| ~ spl5_160 ),
inference(resolution,[],[f2008,f282]) ).
fof(f10049,plain,
( spl5_461
| ~ spl5_14
| ~ spl5_58
| ~ spl5_85
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3036,f2007,f713,f520,f295,f10046]) ).
fof(f10046,plain,
( spl5_461
<=> sz0z00 = sdtasdt0(smndt0(xP),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_461])]) ).
fof(f3036,plain,
( sz0z00 = sdtasdt0(smndt0(xP),sz0z00)
| ~ spl5_14
| ~ spl5_58
| ~ spl5_85
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3024,f1135]) ).
fof(f1135,plain,
( sz0z00 = sdtasdt0(xP,sz0z00)
| ~ spl5_58
| ~ spl5_85 ),
inference(resolution,[],[f715,f521]) ).
fof(f3024,plain,
( sdtasdt0(xP,sz0z00) = sdtasdt0(smndt0(xP),sz0z00)
| ~ spl5_14
| ~ spl5_160 ),
inference(resolution,[],[f2008,f297]) ).
fof(f10044,plain,
( spl5_460
| ~ spl5_12
| ~ spl5_58
| ~ spl5_79
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3035,f2007,f642,f520,f285,f10041]) ).
fof(f10041,plain,
( spl5_460
<=> sz0z00 = sdtasdt0(smndt0(xR),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_460])]) ).
fof(f3035,plain,
( sz0z00 = sdtasdt0(smndt0(xR),sz0z00)
| ~ spl5_12
| ~ spl5_58
| ~ spl5_79
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3023,f1128]) ).
fof(f1128,plain,
( sz0z00 = sdtasdt0(xR,sz0z00)
| ~ spl5_58
| ~ spl5_79 ),
inference(resolution,[],[f644,f521]) ).
fof(f3023,plain,
( sdtasdt0(xR,sz0z00) = sdtasdt0(smndt0(xR),sz0z00)
| ~ spl5_12
| ~ spl5_160 ),
inference(resolution,[],[f2008,f287]) ).
fof(f10039,plain,
( spl5_459
| ~ spl5_7
| ~ spl5_58
| ~ spl5_72
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3034,f2007,f604,f520,f260,f10036]) ).
fof(f10036,plain,
( spl5_459
<=> sz0z00 = sdtasdt0(smndt0(xH),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_459])]) ).
fof(f3034,plain,
( sz0z00 = sdtasdt0(smndt0(xH),sz0z00)
| ~ spl5_7
| ~ spl5_58
| ~ spl5_72
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3022,f1121]) ).
fof(f1121,plain,
( sz0z00 = sdtasdt0(xH,sz0z00)
| ~ spl5_58
| ~ spl5_72 ),
inference(resolution,[],[f606,f521]) ).
fof(f3022,plain,
( sdtasdt0(xH,sz0z00) = sdtasdt0(smndt0(xH),sz0z00)
| ~ spl5_7
| ~ spl5_160 ),
inference(resolution,[],[f2008,f262]) ).
fof(f10034,plain,
( spl5_458
| ~ spl5_6
| ~ spl5_58
| ~ spl5_69
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3033,f2007,f574,f520,f255,f10031]) ).
fof(f10031,plain,
( spl5_458
<=> sz0z00 = sdtasdt0(smndt0(xG),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_458])]) ).
fof(f3033,plain,
( sz0z00 = sdtasdt0(smndt0(xG),sz0z00)
| ~ spl5_6
| ~ spl5_58
| ~ spl5_69
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3021,f1114]) ).
fof(f1114,plain,
( sz0z00 = sdtasdt0(xG,sz0z00)
| ~ spl5_58
| ~ spl5_69 ),
inference(resolution,[],[f576,f521]) ).
fof(f3021,plain,
( sdtasdt0(xG,sz0z00) = sdtasdt0(smndt0(xG),sz0z00)
| ~ spl5_6
| ~ spl5_160 ),
inference(resolution,[],[f2008,f257]) ).
fof(f10029,plain,
( spl5_457
| ~ spl5_8
| ~ spl5_58
| ~ spl5_61
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3032,f2007,f536,f520,f265,f10026]) ).
fof(f10026,plain,
( spl5_457
<=> sz0z00 = sdtasdt0(smndt0(xF),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_457])]) ).
fof(f3032,plain,
( sz0z00 = sdtasdt0(smndt0(xF),sz0z00)
| ~ spl5_8
| ~ spl5_58
| ~ spl5_61
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3020,f1107]) ).
fof(f1107,plain,
( sz0z00 = sdtasdt0(xF,sz0z00)
| ~ spl5_58
| ~ spl5_61 ),
inference(resolution,[],[f538,f521]) ).
fof(f3020,plain,
( sdtasdt0(xF,sz0z00) = sdtasdt0(smndt0(xF),sz0z00)
| ~ spl5_8
| ~ spl5_160 ),
inference(resolution,[],[f2008,f267]) ).
fof(f10024,plain,
( spl5_456
| ~ spl5_15
| ~ spl5_55
| ~ spl5_58
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3031,f2007,f520,f507,f300,f10021]) ).
fof(f10021,plain,
( spl5_456
<=> sz0z00 = sdtasdt0(smndt0(xE),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_456])]) ).
fof(f3031,plain,
( sz0z00 = sdtasdt0(smndt0(xE),sz0z00)
| ~ spl5_15
| ~ spl5_55
| ~ spl5_58
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3019,f1100]) ).
fof(f1100,plain,
( sz0z00 = sdtasdt0(xE,sz0z00)
| ~ spl5_55
| ~ spl5_58 ),
inference(resolution,[],[f509,f521]) ).
fof(f3019,plain,
( sdtasdt0(xE,sz0z00) = sdtasdt0(smndt0(xE),sz0z00)
| ~ spl5_15
| ~ spl5_160 ),
inference(resolution,[],[f2008,f302]) ).
fof(f10019,plain,
( spl5_455
| ~ spl5_9
| ~ spl5_48
| ~ spl5_58
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3030,f2007,f520,f473,f270,f10016]) ).
fof(f10016,plain,
( spl5_455
<=> sz0z00 = sdtasdt0(smndt0(xD),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_455])]) ).
fof(f3030,plain,
( sz0z00 = sdtasdt0(smndt0(xD),sz0z00)
| ~ spl5_9
| ~ spl5_48
| ~ spl5_58
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3018,f1093]) ).
fof(f1093,plain,
( sz0z00 = sdtasdt0(xD,sz0z00)
| ~ spl5_48
| ~ spl5_58 ),
inference(resolution,[],[f475,f521]) ).
fof(f3018,plain,
( sdtasdt0(xD,sz0z00) = sdtasdt0(smndt0(xD),sz0z00)
| ~ spl5_9
| ~ spl5_160 ),
inference(resolution,[],[f2008,f272]) ).
fof(f10014,plain,
( spl5_454
| ~ spl5_10
| ~ spl5_43
| ~ spl5_58
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3029,f2007,f520,f448,f275,f10011]) ).
fof(f10011,plain,
( spl5_454
<=> sz0z00 = sdtasdt0(smndt0(xC),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_454])]) ).
fof(f448,plain,
( spl5_43
<=> sP2(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f3029,plain,
( sz0z00 = sdtasdt0(smndt0(xC),sz0z00)
| ~ spl5_10
| ~ spl5_43
| ~ spl5_58
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3017,f1086]) ).
fof(f1086,plain,
( sz0z00 = sdtasdt0(xC,sz0z00)
| ~ spl5_43
| ~ spl5_58 ),
inference(resolution,[],[f450,f521]) ).
fof(f450,plain,
( sP2(xC)
| ~ spl5_43 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f3017,plain,
( sdtasdt0(xC,sz0z00) = sdtasdt0(smndt0(xC),sz0z00)
| ~ spl5_10
| ~ spl5_160 ),
inference(resolution,[],[f2008,f277]) ).
fof(f10009,plain,
( spl5_453
| ~ spl5_16
| ~ spl5_160
| ~ spl5_162 ),
inference(avatar_split_clause,[],[f3028,f2388,f2007,f305,f10006]) ).
fof(f10006,plain,
( spl5_453
<=> sz0z00 = sdtasdt0(smndt0(xB),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_453])]) ).
fof(f2388,plain,
( spl5_162
<=> sz0z00 = sdtasdt0(xB,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_162])]) ).
fof(f3028,plain,
( sz0z00 = sdtasdt0(smndt0(xB),sz0z00)
| ~ spl5_16
| ~ spl5_160
| ~ spl5_162 ),
inference(forward_demodulation,[],[f3016,f2390]) ).
fof(f2390,plain,
( sz0z00 = sdtasdt0(xB,sz0z00)
| ~ spl5_162 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f3016,plain,
( sdtasdt0(xB,sz0z00) = sdtasdt0(smndt0(xB),sz0z00)
| ~ spl5_16
| ~ spl5_160 ),
inference(resolution,[],[f2008,f307]) ).
fof(f10004,plain,
( spl5_452
| ~ spl5_17
| ~ spl5_144
| ~ spl5_160 ),
inference(avatar_split_clause,[],[f3027,f2007,f1406,f310,f10001]) ).
fof(f10001,plain,
( spl5_452
<=> sz0z00 = sdtasdt0(smndt0(xA),sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_452])]) ).
fof(f1406,plain,
( spl5_144
<=> sz0z00 = sdtasdt0(xA,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_144])]) ).
fof(f3027,plain,
( sz0z00 = sdtasdt0(smndt0(xA),sz0z00)
| ~ spl5_17
| ~ spl5_144
| ~ spl5_160 ),
inference(forward_demodulation,[],[f3015,f1408]) ).
fof(f1408,plain,
( sz0z00 = sdtasdt0(xA,sz0z00)
| ~ spl5_144 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f3015,plain,
( sdtasdt0(xA,sz0z00) = sdtasdt0(smndt0(xA),sz0z00)
| ~ spl5_17
| ~ spl5_160 ),
inference(resolution,[],[f2008,f312]) ).
fof(f9999,plain,
( spl5_451
| ~ spl5_24
| ~ spl5_71
| ~ spl5_112 ),
inference(avatar_split_clause,[],[f1273,f1194,f597,f357,f9996]) ).
fof(f9996,plain,
( spl5_451
<=> aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_451])]) ).
fof(f357,plain,
( spl5_24
<=> aDimensionOf0(xs) = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f597,plain,
( spl5_71
<=> ! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
fof(f1194,plain,
( spl5_112
<=> sP0(xs,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_112])]) ).
fof(f1273,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xp))
| ~ spl5_24
| ~ spl5_71
| ~ spl5_112 ),
inference(forward_demodulation,[],[f1270,f359]) ).
fof(f359,plain,
( aDimensionOf0(xs) = aDimensionOf0(xt)
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f1270,plain,
( aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(xp))
| ~ spl5_71
| ~ spl5_112 ),
inference(resolution,[],[f1196,f598]) ).
fof(f598,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) )
| ~ spl5_71 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1196,plain,
( sP0(xs,xp)
| ~ spl5_112 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f9994,plain,
( spl5_450
| ~ spl5_71
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1247,f1185,f597,f9991]) ).
fof(f9991,plain,
( spl5_450
<=> aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_450])]) ).
fof(f1185,plain,
( spl5_110
<=> sP0(xt,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_110])]) ).
fof(f1247,plain,
( aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(xq))
| ~ spl5_71
| ~ spl5_110 ),
inference(resolution,[],[f1187,f598]) ).
fof(f1187,plain,
( sP0(xt,xq)
| ~ spl5_110 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f9989,plain,
( spl5_449
| ~ spl5_64
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1153,f885,f549,f9986]) ).
fof(f9986,plain,
( spl5_449
<=> sz0z00 = sdtpldt0(smndt0(xN),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_449])]) ).
fof(f1153,plain,
( sz0z00 = sdtpldt0(smndt0(xN),xN)
| ~ spl5_64
| ~ spl5_93 ),
inference(resolution,[],[f887,f550]) ).
fof(f9984,plain,
( spl5_448
| ~ spl5_63
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1152,f885,f545,f9981]) ).
fof(f9981,plain,
( spl5_448
<=> sz0z00 = sdtpldt0(xN,smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_448])]) ).
fof(f1152,plain,
( sz0z00 = sdtpldt0(xN,smndt0(xN))
| ~ spl5_63
| ~ spl5_93 ),
inference(resolution,[],[f887,f546]) ).
fof(f9979,plain,
( spl5_447
| ~ spl5_64
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1146,f826,f549,f9976]) ).
fof(f9976,plain,
( spl5_447
<=> sz0z00 = sdtpldt0(smndt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_447])]) ).
fof(f1146,plain,
( sz0z00 = sdtpldt0(smndt0(xS),xS)
| ~ spl5_64
| ~ spl5_87 ),
inference(resolution,[],[f828,f550]) ).
fof(f9974,plain,
( spl5_446
| ~ spl5_63
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1145,f826,f545,f9971]) ).
fof(f9971,plain,
( spl5_446
<=> sz0z00 = sdtpldt0(xS,smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_446])]) ).
fof(f1145,plain,
( sz0z00 = sdtpldt0(xS,smndt0(xS))
| ~ spl5_63
| ~ spl5_87 ),
inference(resolution,[],[f828,f546]) ).
fof(f9969,plain,
( spl5_445
| ~ spl5_64
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f1139,f713,f549,f9966]) ).
fof(f9966,plain,
( spl5_445
<=> sz0z00 = sdtpldt0(smndt0(xP),xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_445])]) ).
fof(f1139,plain,
( sz0z00 = sdtpldt0(smndt0(xP),xP)
| ~ spl5_64
| ~ spl5_85 ),
inference(resolution,[],[f715,f550]) ).
fof(f9964,plain,
( spl5_444
| ~ spl5_63
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f1138,f713,f545,f9961]) ).
fof(f9961,plain,
( spl5_444
<=> sz0z00 = sdtpldt0(xP,smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_444])]) ).
fof(f1138,plain,
( sz0z00 = sdtpldt0(xP,smndt0(xP))
| ~ spl5_63
| ~ spl5_85 ),
inference(resolution,[],[f715,f546]) ).
fof(f9959,plain,
( spl5_443
| ~ spl5_64
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1132,f642,f549,f9956]) ).
fof(f9956,plain,
( spl5_443
<=> sz0z00 = sdtpldt0(smndt0(xR),xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_443])]) ).
fof(f1132,plain,
( sz0z00 = sdtpldt0(smndt0(xR),xR)
| ~ spl5_64
| ~ spl5_79 ),
inference(resolution,[],[f644,f550]) ).
fof(f9954,plain,
( spl5_442
| ~ spl5_63
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1131,f642,f545,f9951]) ).
fof(f9951,plain,
( spl5_442
<=> sz0z00 = sdtpldt0(xR,smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_442])]) ).
fof(f1131,plain,
( sz0z00 = sdtpldt0(xR,smndt0(xR))
| ~ spl5_63
| ~ spl5_79 ),
inference(resolution,[],[f644,f546]) ).
fof(f9949,plain,
( spl5_441
| ~ spl5_64
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1125,f604,f549,f9946]) ).
fof(f9946,plain,
( spl5_441
<=> sz0z00 = sdtpldt0(smndt0(xH),xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_441])]) ).
fof(f1125,plain,
( sz0z00 = sdtpldt0(smndt0(xH),xH)
| ~ spl5_64
| ~ spl5_72 ),
inference(resolution,[],[f606,f550]) ).
fof(f9944,plain,
( spl5_440
| ~ spl5_63
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1124,f604,f545,f9941]) ).
fof(f9941,plain,
( spl5_440
<=> sz0z00 = sdtpldt0(xH,smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_440])]) ).
fof(f1124,plain,
( sz0z00 = sdtpldt0(xH,smndt0(xH))
| ~ spl5_63
| ~ spl5_72 ),
inference(resolution,[],[f606,f546]) ).
fof(f9939,plain,
( spl5_439
| ~ spl5_64
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1118,f574,f549,f9936]) ).
fof(f9936,plain,
( spl5_439
<=> sz0z00 = sdtpldt0(smndt0(xG),xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_439])]) ).
fof(f1118,plain,
( sz0z00 = sdtpldt0(smndt0(xG),xG)
| ~ spl5_64
| ~ spl5_69 ),
inference(resolution,[],[f576,f550]) ).
fof(f9934,plain,
( spl5_438
| ~ spl5_63
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1117,f574,f545,f9931]) ).
fof(f9931,plain,
( spl5_438
<=> sz0z00 = sdtpldt0(xG,smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_438])]) ).
fof(f1117,plain,
( sz0z00 = sdtpldt0(xG,smndt0(xG))
| ~ spl5_63
| ~ spl5_69 ),
inference(resolution,[],[f576,f546]) ).
fof(f9929,plain,
( spl5_437
| ~ spl5_61
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1111,f549,f536,f9926]) ).
fof(f9926,plain,
( spl5_437
<=> sz0z00 = sdtpldt0(smndt0(xF),xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_437])]) ).
fof(f1111,plain,
( sz0z00 = sdtpldt0(smndt0(xF),xF)
| ~ spl5_61
| ~ spl5_64 ),
inference(resolution,[],[f538,f550]) ).
fof(f9924,plain,
( spl5_436
| ~ spl5_61
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1110,f545,f536,f9921]) ).
fof(f9921,plain,
( spl5_436
<=> sz0z00 = sdtpldt0(xF,smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_436])]) ).
fof(f1110,plain,
( sz0z00 = sdtpldt0(xF,smndt0(xF))
| ~ spl5_61
| ~ spl5_63 ),
inference(resolution,[],[f538,f546]) ).
fof(f9919,plain,
( spl5_435
| ~ spl5_55
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1104,f549,f507,f9916]) ).
fof(f9916,plain,
( spl5_435
<=> sz0z00 = sdtpldt0(smndt0(xE),xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_435])]) ).
fof(f1104,plain,
( sz0z00 = sdtpldt0(smndt0(xE),xE)
| ~ spl5_55
| ~ spl5_64 ),
inference(resolution,[],[f509,f550]) ).
fof(f9914,plain,
( spl5_434
| ~ spl5_55
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1103,f545,f507,f9911]) ).
fof(f9911,plain,
( spl5_434
<=> sz0z00 = sdtpldt0(xE,smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_434])]) ).
fof(f1103,plain,
( sz0z00 = sdtpldt0(xE,smndt0(xE))
| ~ spl5_55
| ~ spl5_63 ),
inference(resolution,[],[f509,f546]) ).
fof(f9909,plain,
( spl5_433
| ~ spl5_48
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1097,f549,f473,f9906]) ).
fof(f9906,plain,
( spl5_433
<=> sz0z00 = sdtpldt0(smndt0(xD),xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_433])]) ).
fof(f1097,plain,
( sz0z00 = sdtpldt0(smndt0(xD),xD)
| ~ spl5_48
| ~ spl5_64 ),
inference(resolution,[],[f475,f550]) ).
fof(f9904,plain,
( spl5_432
| ~ spl5_48
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1096,f545,f473,f9901]) ).
fof(f9901,plain,
( spl5_432
<=> sz0z00 = sdtpldt0(xD,smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_432])]) ).
fof(f1096,plain,
( sz0z00 = sdtpldt0(xD,smndt0(xD))
| ~ spl5_48
| ~ spl5_63 ),
inference(resolution,[],[f475,f546]) ).
fof(f9899,plain,
( spl5_431
| ~ spl5_43
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1090,f549,f448,f9896]) ).
fof(f9896,plain,
( spl5_431
<=> sz0z00 = sdtpldt0(smndt0(xC),xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_431])]) ).
fof(f1090,plain,
( sz0z00 = sdtpldt0(smndt0(xC),xC)
| ~ spl5_43
| ~ spl5_64 ),
inference(resolution,[],[f450,f550]) ).
fof(f9894,plain,
( spl5_430
| ~ spl5_43
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1089,f545,f448,f9891]) ).
fof(f9891,plain,
( spl5_430
<=> sz0z00 = sdtpldt0(xC,smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_430])]) ).
fof(f1089,plain,
( sz0z00 = sdtpldt0(xC,smndt0(xC))
| ~ spl5_43
| ~ spl5_63 ),
inference(resolution,[],[f450,f546]) ).
fof(f9889,plain,
( spl5_429
| ~ spl5_37
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f1046,f549,f423,f9886]) ).
fof(f9886,plain,
( spl5_429
<=> sz0z00 = sdtpldt0(smndt0(xB),xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_429])]) ).
fof(f423,plain,
( spl5_37
<=> sP2(xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f1046,plain,
( sz0z00 = sdtpldt0(smndt0(xB),xB)
| ~ spl5_37
| ~ spl5_64 ),
inference(resolution,[],[f425,f550]) ).
fof(f425,plain,
( sP2(xB)
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f9884,plain,
( spl5_428
| ~ spl5_37
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f1045,f545,f423,f9881]) ).
fof(f9881,plain,
( spl5_428
<=> sz0z00 = sdtpldt0(xB,smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_428])]) ).
fof(f1045,plain,
( sz0z00 = sdtpldt0(xB,smndt0(xB))
| ~ spl5_37
| ~ spl5_63 ),
inference(resolution,[],[f425,f546]) ).
fof(f9879,plain,
( spl5_427
| ~ spl5_34
| ~ spl5_64 ),
inference(avatar_split_clause,[],[f984,f549,f407,f9876]) ).
fof(f9876,plain,
( spl5_427
<=> sz0z00 = sdtpldt0(smndt0(xA),xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_427])]) ).
fof(f407,plain,
( spl5_34
<=> sP2(xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f984,plain,
( sz0z00 = sdtpldt0(smndt0(xA),xA)
| ~ spl5_34
| ~ spl5_64 ),
inference(resolution,[],[f409,f550]) ).
fof(f409,plain,
( sP2(xA)
| ~ spl5_34 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f9874,plain,
( spl5_426
| ~ spl5_34
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f983,f545,f407,f9871]) ).
fof(f9871,plain,
( spl5_426
<=> sz0z00 = sdtpldt0(xA,smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_426])]) ).
fof(f983,plain,
( sz0z00 = sdtpldt0(xA,smndt0(xA))
| ~ spl5_34
| ~ spl5_63 ),
inference(resolution,[],[f409,f546]) ).
fof(f9804,plain,
( spl5_425
| ~ spl5_60
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1163,f1155,f528,f9801]) ).
fof(f9801,plain,
( spl5_425
<=> sz0z00 = smndt0(smndt0(sz0z00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_425])]) ).
fof(f528,plain,
( spl5_60
<=> ! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
fof(f1163,plain,
( sz0z00 = smndt0(smndt0(sz0z00))
| ~ spl5_60
| ~ spl5_106 ),
inference(resolution,[],[f1157,f529]) ).
fof(f529,plain,
( ! [X0] :
( ~ sP2(X0)
| smndt0(smndt0(X0)) = X0 )
| ~ spl5_60 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f9799,plain,
( spl5_424
| ~ spl5_58
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1161,f1155,f520,f9796]) ).
fof(f9796,plain,
( spl5_424
<=> sz0z00 = sdtasdt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_424])]) ).
fof(f1161,plain,
( sz0z00 = sdtasdt0(sz0z00,sz0z00)
| ~ spl5_58
| ~ spl5_106 ),
inference(resolution,[],[f1157,f521]) ).
fof(f9794,plain,
( spl5_423
| ~ spl5_56
| ~ spl5_106 ),
inference(avatar_split_clause,[],[f1159,f1155,f512,f9791]) ).
fof(f9791,plain,
( spl5_423
<=> sz0z00 = sdtpldt0(sz0z00,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_423])]) ).
fof(f512,plain,
( spl5_56
<=> ! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
fof(f1159,plain,
( sz0z00 = sdtpldt0(sz0z00,sz0z00)
| ~ spl5_56
| ~ spl5_106 ),
inference(resolution,[],[f1157,f513]) ).
fof(f513,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(X0,sz0z00) = X0 )
| ~ spl5_56 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f8804,plain,
( spl5_422
| ~ spl5_11
| ~ spl5_33
| ~ spl5_150 ),
inference(avatar_split_clause,[],[f1863,f1431,f402,f280,f8801]) ).
fof(f8801,plain,
( spl5_422
<=> xN = sdtasdt0(xS,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_422])]) ).
fof(f8799,plain,
( spl5_421
| ~ spl5_7
| ~ spl5_35
| ~ spl5_146 ),
inference(avatar_split_clause,[],[f1783,f1415,f412,f260,f8796]) ).
fof(f8796,plain,
( spl5_421
<=> xP = sdtasdt0(xH,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_421])]) ).
fof(f8794,plain,
( spl5_420
| ~ spl5_8
| ~ spl5_31
| ~ spl5_145 ),
inference(avatar_split_clause,[],[f1763,f1411,f392,f265,f8791]) ).
fof(f8791,plain,
( spl5_420
<=> xS = sdtasdt0(xD,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_420])]) ).
fof(f8789,plain,
( spl5_419
| ~ spl5_6
| ~ spl5_32
| ~ spl5_143 ),
inference(avatar_split_clause,[],[f1743,f1402,f397,f255,f8786]) ).
fof(f8786,plain,
( spl5_419
<=> xR = sdtasdt0(xG,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_419])]) ).
fof(f8784,plain,
( spl5_418
| ~ spl5_16
| ~ spl5_27
| ~ spl5_141 ),
inference(avatar_split_clause,[],[f1703,f1394,f372,f305,f8781]) ).
fof(f8781,plain,
( spl5_418
<=> xH = sdtasdt0(xB,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_418])]) ).
fof(f8697,plain,
( spl5_417
| ~ spl5_60
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1151,f885,f528,f8694]) ).
fof(f8694,plain,
( spl5_417
<=> xN = smndt0(smndt0(xN)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_417])]) ).
fof(f1151,plain,
( xN = smndt0(smndt0(xN))
| ~ spl5_60
| ~ spl5_93 ),
inference(resolution,[],[f887,f529]) ).
fof(f8692,plain,
( spl5_416
| ~ spl5_59
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1150,f885,f524,f8689]) ).
fof(f8689,plain,
( spl5_416
<=> sz0z00 = sdtasdt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_416])]) ).
fof(f8687,plain,
( spl5_415
| ~ spl5_58
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1149,f885,f520,f8684]) ).
fof(f8684,plain,
( spl5_415
<=> sz0z00 = sdtasdt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_415])]) ).
fof(f8682,plain,
( spl5_414
| ~ spl5_57
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1148,f885,f516,f8679]) ).
fof(f8679,plain,
( spl5_414
<=> xN = sdtpldt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_414])]) ).
fof(f516,plain,
( spl5_57
<=> ! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f1148,plain,
( xN = sdtpldt0(sz0z00,xN)
| ~ spl5_57
| ~ spl5_93 ),
inference(resolution,[],[f887,f517]) ).
fof(f517,plain,
( ! [X0] :
( ~ sP2(X0)
| sdtpldt0(sz0z00,X0) = X0 )
| ~ spl5_57 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f8677,plain,
( spl5_413
| ~ spl5_56
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f1147,f885,f512,f8674]) ).
fof(f8674,plain,
( spl5_413
<=> xN = sdtpldt0(xN,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_413])]) ).
fof(f1147,plain,
( xN = sdtpldt0(xN,sz0z00)
| ~ spl5_56
| ~ spl5_93 ),
inference(resolution,[],[f887,f513]) ).
fof(f8672,plain,
( spl5_412
| ~ spl5_60
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1144,f826,f528,f8669]) ).
fof(f8669,plain,
( spl5_412
<=> xS = smndt0(smndt0(xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_412])]) ).
fof(f1144,plain,
( xS = smndt0(smndt0(xS))
| ~ spl5_60
| ~ spl5_87 ),
inference(resolution,[],[f828,f529]) ).
fof(f8667,plain,
( spl5_411
| ~ spl5_59
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1143,f826,f524,f8664]) ).
fof(f8664,plain,
( spl5_411
<=> sz0z00 = sdtasdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_411])]) ).
fof(f8662,plain,
( spl5_410
| ~ spl5_58
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1142,f826,f520,f8659]) ).
fof(f8659,plain,
( spl5_410
<=> sz0z00 = sdtasdt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_410])]) ).
fof(f8657,plain,
( spl5_409
| ~ spl5_57
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1141,f826,f516,f8654]) ).
fof(f8654,plain,
( spl5_409
<=> xS = sdtpldt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_409])]) ).
fof(f1141,plain,
( xS = sdtpldt0(sz0z00,xS)
| ~ spl5_57
| ~ spl5_87 ),
inference(resolution,[],[f828,f517]) ).
fof(f8652,plain,
( spl5_408
| ~ spl5_56
| ~ spl5_87 ),
inference(avatar_split_clause,[],[f1140,f826,f512,f8649]) ).
fof(f8649,plain,
( spl5_408
<=> xS = sdtpldt0(xS,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_408])]) ).
fof(f1140,plain,
( xS = sdtpldt0(xS,sz0z00)
| ~ spl5_56
| ~ spl5_87 ),
inference(resolution,[],[f828,f513]) ).
fof(f8647,plain,
( spl5_407
| ~ spl5_60
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f1137,f713,f528,f8644]) ).
fof(f8644,plain,
( spl5_407
<=> xP = smndt0(smndt0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_407])]) ).
fof(f1137,plain,
( xP = smndt0(smndt0(xP))
| ~ spl5_60
| ~ spl5_85 ),
inference(resolution,[],[f715,f529]) ).
fof(f8642,plain,
( spl5_406
| ~ spl5_59
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f1136,f713,f524,f8639]) ).
fof(f8639,plain,
( spl5_406
<=> sz0z00 = sdtasdt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_406])]) ).
fof(f8637,plain,
( spl5_405
| ~ spl5_58
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f1135,f713,f520,f8634]) ).
fof(f8634,plain,
( spl5_405
<=> sz0z00 = sdtasdt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_405])]) ).
fof(f8632,plain,
( spl5_404
| ~ spl5_57
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f1134,f713,f516,f8629]) ).
fof(f8629,plain,
( spl5_404
<=> xP = sdtpldt0(sz0z00,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_404])]) ).
fof(f1134,plain,
( xP = sdtpldt0(sz0z00,xP)
| ~ spl5_57
| ~ spl5_85 ),
inference(resolution,[],[f715,f517]) ).
fof(f8627,plain,
( spl5_403
| ~ spl5_56
| ~ spl5_85 ),
inference(avatar_split_clause,[],[f1133,f713,f512,f8624]) ).
fof(f8624,plain,
( spl5_403
<=> xP = sdtpldt0(xP,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_403])]) ).
fof(f1133,plain,
( xP = sdtpldt0(xP,sz0z00)
| ~ spl5_56
| ~ spl5_85 ),
inference(resolution,[],[f715,f513]) ).
fof(f8622,plain,
( spl5_402
| ~ spl5_60
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1130,f642,f528,f8619]) ).
fof(f8619,plain,
( spl5_402
<=> xR = smndt0(smndt0(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_402])]) ).
fof(f1130,plain,
( xR = smndt0(smndt0(xR))
| ~ spl5_60
| ~ spl5_79 ),
inference(resolution,[],[f644,f529]) ).
fof(f8617,plain,
( spl5_401
| ~ spl5_59
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1129,f642,f524,f8614]) ).
fof(f8614,plain,
( spl5_401
<=> sz0z00 = sdtasdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_401])]) ).
fof(f8612,plain,
( spl5_400
| ~ spl5_58
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1128,f642,f520,f8609]) ).
fof(f8609,plain,
( spl5_400
<=> sz0z00 = sdtasdt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_400])]) ).
fof(f8607,plain,
( spl5_399
| ~ spl5_57
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1127,f642,f516,f8604]) ).
fof(f8604,plain,
( spl5_399
<=> xR = sdtpldt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_399])]) ).
fof(f1127,plain,
( xR = sdtpldt0(sz0z00,xR)
| ~ spl5_57
| ~ spl5_79 ),
inference(resolution,[],[f644,f517]) ).
fof(f8602,plain,
( spl5_398
| ~ spl5_56
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f1126,f642,f512,f8599]) ).
fof(f8599,plain,
( spl5_398
<=> xR = sdtpldt0(xR,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_398])]) ).
fof(f1126,plain,
( xR = sdtpldt0(xR,sz0z00)
| ~ spl5_56
| ~ spl5_79 ),
inference(resolution,[],[f644,f513]) ).
fof(f8516,plain,
( spl5_397
| ~ spl5_60
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1123,f604,f528,f8513]) ).
fof(f8513,plain,
( spl5_397
<=> xH = smndt0(smndt0(xH)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_397])]) ).
fof(f1123,plain,
( xH = smndt0(smndt0(xH))
| ~ spl5_60
| ~ spl5_72 ),
inference(resolution,[],[f606,f529]) ).
fof(f8511,plain,
( spl5_396
| ~ spl5_66
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1059,f1052,f557,f8509]) ).
fof(f8509,plain,
( spl5_396
<=> ! [X4,X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtlbdtrb0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_396])]) ).
fof(f557,plain,
( spl5_66
<=> ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
fof(f1052,plain,
( spl5_104
<=> ! [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_104])]) ).
fof(f1059,plain,
( ! [X2,X3,X0,X1,X4] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtlbdtrb0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtlbdtrb0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtlbdtrb0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X4)
| ~ aVector0(X3) )
| ~ spl5_66
| ~ spl5_104 ),
inference(resolution,[],[f1053,f558]) ).
fof(f558,plain,
( ! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) )
| ~ spl5_66 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f1053,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_104 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f8507,plain,
( spl5_395
| ~ spl5_68
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1057,f1052,f565,f8505]) ).
fof(f8505,plain,
( spl5_395
<=> ! [X4,X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtasdt0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_395])]) ).
fof(f565,plain,
( spl5_68
<=> ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
fof(f1057,plain,
( ! [X2,X3,X0,X1,X4] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtasdt0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtasdt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl5_68
| ~ spl5_104 ),
inference(resolution,[],[f1053,f566]) ).
fof(f566,plain,
( ! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_68 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f8503,plain,
( spl5_394
| ~ spl5_67
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1056,f1052,f561,f8501]) ).
fof(f8501,plain,
( spl5_394
<=> ! [X4,X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtpldt0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X4)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_394])]) ).
fof(f561,plain,
( spl5_67
<=> ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_67])]) ).
fof(f1056,plain,
( ! [X2,X3,X0,X1,X4] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,sdtpldt0(X3,X4))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sdtpldt0(X3,X4))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X4)
| ~ aScalar0(X3) )
| ~ spl5_67
| ~ spl5_104 ),
inference(resolution,[],[f1053,f562]) ).
fof(f562,plain,
( ! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_67 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f8499,plain,
( spl5_393
| ~ spl5_82
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1017,f1013,f655,f8497]) ).
fof(f8497,plain,
( spl5_393
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtasdt0(X3,X1) = sdtasdt0(X2,X0)
| ~ sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_393])]) ).
fof(f655,plain,
( spl5_82
<=> ! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f1013,plain,
( spl5_102
<=> ! [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_102])]) ).
fof(f1017,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtasdt0(X3,X1) = sdtasdt0(X2,X0)
| ~ sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X2,X0))
| ~ aScalar0(sdtasdt0(X3,X1)) )
| ~ spl5_82
| ~ spl5_102 ),
inference(resolution,[],[f1014,f656]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_82 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f1014,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_102 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f8461,plain,
( spl5_392
| ~ spl5_91
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1016,f1013,f853,f8459]) ).
fof(f8459,plain,
( spl5_392
<=> ! [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_392])]) ).
fof(f853,plain,
( spl5_91
<=> ! [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_91])]) ).
fof(f1016,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_91
| ~ spl5_102 ),
inference(resolution,[],[f1014,f854]) ).
fof(f854,plain,
( ! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_91 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f8447,plain,
( spl5_391
| ~ spl5_82
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1006,f1002,f655,f8445]) ).
fof(f8445,plain,
( spl5_391
<=> ! [X0,X3,X2,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtpldt0(X3,X1) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_391])]) ).
fof(f1002,plain,
( spl5_100
<=> ! [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_100])]) ).
fof(f1006,plain,
( ! [X2,X3,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| sdtpldt0(X3,X1) = sdtpldt0(X2,X0)
| ~ sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X2,X0))
| ~ aScalar0(sdtpldt0(X3,X1)) )
| ~ spl5_82
| ~ spl5_100 ),
inference(resolution,[],[f1003,f656]) ).
fof(f1003,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_100 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f8409,plain,
( spl5_390
| ~ spl5_59
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1122,f604,f524,f8406]) ).
fof(f8406,plain,
( spl5_390
<=> sz0z00 = sdtasdt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_390])]) ).
fof(f8404,plain,
( spl5_389
| ~ spl5_41
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1058,f1052,f440,f8402]) ).
fof(f8402,plain,
( spl5_389
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,smndt0(X3))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_389])]) ).
fof(f440,plain,
( spl5_41
<=> ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f1058,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,smndt0(X3))),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X3))))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3) )
| ~ spl5_41
| ~ spl5_104 ),
inference(resolution,[],[f1053,f441]) ).
fof(f441,plain,
( ! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) )
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f8400,plain,
( spl5_388
| ~ spl5_91
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1005,f1002,f853,f8398]) ).
fof(f8398,plain,
( spl5_388
<=> ! [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_388])]) ).
fof(f1005,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_91
| ~ spl5_100 ),
inference(resolution,[],[f1003,f854]) ).
fof(f8356,plain,
( spl5_387
| ~ spl5_19
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1055,f1052,f320,f8354]) ).
fof(f8354,plain,
( spl5_387
<=> ! [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_387])]) ).
fof(f1055,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_104 ),
inference(resolution,[],[f1053,f322]) ).
fof(f8165,plain,
( spl5_386
| ~ spl5_58
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1121,f604,f520,f8162]) ).
fof(f8162,plain,
( spl5_386
<=> sz0z00 = sdtasdt0(xH,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_386])]) ).
fof(f7981,plain,
( spl5_385
| ~ spl5_13
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1071,f1052,f290,f7979]) ).
fof(f7979,plain,
( spl5_385
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xN)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xN)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xN)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_385])]) ).
fof(f1071,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xN)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xN)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xN)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_104 ),
inference(resolution,[],[f1053,f292]) ).
fof(f7977,plain,
( spl5_384
| ~ spl5_11
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1070,f1052,f280,f7975]) ).
fof(f7975,plain,
( spl5_384
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xS)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xS)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_384])]) ).
fof(f1070,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xS)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xS)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xS)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_104 ),
inference(resolution,[],[f1053,f282]) ).
fof(f7973,plain,
( spl5_383
| ~ spl5_14
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1069,f1052,f295,f7971]) ).
fof(f7971,plain,
( spl5_383
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xP)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xP)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xP)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_383])]) ).
fof(f1069,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xP)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xP)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xP)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_104 ),
inference(resolution,[],[f1053,f297]) ).
fof(f7969,plain,
( spl5_382
| ~ spl5_12
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1068,f1052,f285,f7967]) ).
fof(f7967,plain,
( spl5_382
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xR)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xR)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xR)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_382])]) ).
fof(f1068,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xR)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xR)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xR)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_104 ),
inference(resolution,[],[f1053,f287]) ).
fof(f7965,plain,
( spl5_381
| ~ spl5_57
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1120,f604,f516,f7962]) ).
fof(f7962,plain,
( spl5_381
<=> xH = sdtpldt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_381])]) ).
fof(f1120,plain,
( xH = sdtpldt0(sz0z00,xH)
| ~ spl5_57
| ~ spl5_72 ),
inference(resolution,[],[f606,f517]) ).
fof(f7960,plain,
( spl5_380
| ~ spl5_7
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1067,f1052,f260,f7958]) ).
fof(f7958,plain,
( spl5_380
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xH)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xH)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_380])]) ).
fof(f1067,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xH)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xH)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xH)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_104 ),
inference(resolution,[],[f1053,f262]) ).
fof(f7956,plain,
( spl5_379
| ~ spl5_6
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1066,f1052,f255,f7954]) ).
fof(f7954,plain,
( spl5_379
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xG)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xG)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_379])]) ).
fof(f1066,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xG)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xG)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xG)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_104 ),
inference(resolution,[],[f1053,f257]) ).
fof(f7952,plain,
( spl5_378
| ~ spl5_8
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1065,f1052,f265,f7950]) ).
fof(f7950,plain,
( spl5_378
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xF)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xF)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xF)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_378])]) ).
fof(f1065,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xF)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xF)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xF)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_104 ),
inference(resolution,[],[f1053,f267]) ).
fof(f7948,plain,
( spl5_377
| ~ spl5_15
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1064,f1052,f300,f7946]) ).
fof(f7946,plain,
( spl5_377
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xE)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xE)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xE)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_377])]) ).
fof(f1064,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xE)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xE)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xE)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_104 ),
inference(resolution,[],[f1053,f302]) ).
fof(f7944,plain,
( spl5_376
| ~ spl5_9
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1063,f1052,f270,f7942]) ).
fof(f7942,plain,
( spl5_376
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xD)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xD)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xD)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_376])]) ).
fof(f1063,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xD)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xD)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xD)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_104 ),
inference(resolution,[],[f1053,f272]) ).
fof(f7940,plain,
( spl5_375
| ~ spl5_10
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1062,f1052,f275,f7938]) ).
fof(f7938,plain,
( spl5_375
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xC)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xC)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xC)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_375])]) ).
fof(f1062,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xC)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xC)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xC)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_104 ),
inference(resolution,[],[f1053,f277]) ).
fof(f7936,plain,
( spl5_374
| ~ spl5_16
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1061,f1052,f305,f7934]) ).
fof(f7934,plain,
( spl5_374
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xB)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xB)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xB)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_374])]) ).
fof(f1061,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xB)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xB)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xB)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_104 ),
inference(resolution,[],[f1053,f307]) ).
fof(f7932,plain,
( spl5_373
| ~ spl5_17
| ~ spl5_104 ),
inference(avatar_split_clause,[],[f1060,f1052,f310,f7930]) ).
fof(f7930,plain,
( spl5_373
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xA)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xA)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xA)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_373])]) ).
fof(f1060,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,xA)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,xA)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,xA)))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_17
| ~ spl5_104 ),
inference(resolution,[],[f1053,f312]) ).
fof(f7925,plain,
( ~ spl5_4
| spl5_372
| ~ spl5_24
| ~ spl5_103 ),
inference(avatar_split_clause,[],[f1048,f1037,f357,f7923,f245]) ).
fof(f245,plain,
( spl5_4
<=> aVector0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f7923,plain,
( spl5_372
<=> ! [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_372])]) ).
fof(f1037,plain,
( spl5_103
<=> ! [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_103])]) ).
fof(f1048,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_103 ),
inference(superposition,[],[f1038,f359]) ).
fof(f1038,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_103 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f7921,plain,
( spl5_371
| ~ spl5_56
| ~ spl5_72 ),
inference(avatar_split_clause,[],[f1119,f604,f512,f7918]) ).
fof(f7918,plain,
( spl5_371
<=> xH = sdtpldt0(xH,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_371])]) ).
fof(f1119,plain,
( xH = sdtpldt0(xH,sz0z00)
| ~ spl5_56
| ~ spl5_72 ),
inference(resolution,[],[f606,f513]) ).
fof(f7916,plain,
( ~ spl5_4
| ~ spl5_369
| spl5_370
| ~ spl5_24
| ~ spl5_103 ),
inference(avatar_split_clause,[],[f1047,f1037,f357,f7914,f7910,f245]) ).
fof(f7910,plain,
( spl5_369
<=> iLess0(aDimensionOf0(xt),aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_369])]) ).
fof(f7914,plain,
( spl5_370
<=> ! [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_370])]) ).
fof(f1047,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_103 ),
inference(superposition,[],[f1038,f359]) ).
fof(f7897,plain,
( ~ spl5_4
| spl5_107
| spl5_368
| ~ spl5_22
| ~ spl5_24
| ~ spl5_45
| ~ spl5_105 ),
inference(avatar_split_clause,[],[f1083,f1073,f460,f357,f335,f7895,f1170,f245]) ).
fof(f1170,plain,
( spl5_107
<=> sz00 = aDimensionOf0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_107])]) ).
fof(f7895,plain,
( spl5_368
<=> ! [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_368])]) ).
fof(f335,plain,
( spl5_22
<=> xp = sziznziztdt0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f460,plain,
( spl5_45
<=> xA = sdtlbdtrb0(xs,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f1073,plain,
( spl5_105
<=> ! [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_105])]) ).
fof(f1083,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_45
| ~ spl5_105 ),
inference(forward_demodulation,[],[f1082,f337]) ).
fof(f337,plain,
( xp = sziznziztdt0(xs)
| ~ spl5_22 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f1082,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_45
| ~ spl5_105 ),
inference(forward_demodulation,[],[f1077,f462]) ).
fof(f462,plain,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xt))
| ~ spl5_45 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f1077,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_105 ),
inference(superposition,[],[f1074,f359]) ).
fof(f1074,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_105 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f7881,plain,
( ~ spl5_4
| spl5_367
| ~ spl5_22
| ~ spl5_24
| ~ spl5_45
| ~ spl5_105 ),
inference(avatar_split_clause,[],[f1081,f1073,f460,f357,f335,f7879,f245]) ).
fof(f7879,plain,
( spl5_367
<=> ! [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_367])]) ).
fof(f1081,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_45
| ~ spl5_105 ),
inference(forward_demodulation,[],[f1080,f337]) ).
fof(f1080,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_45
| ~ spl5_105 ),
inference(forward_demodulation,[],[f1076,f462]) ).
fof(f1076,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_105 ),
inference(superposition,[],[f1074,f359]) ).
fof(f7830,plain,
( spl5_366
| ~ spl5_66
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f961,f937,f557,f7828]) ).
fof(f7828,plain,
( spl5_366
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_366])]) ).
fof(f937,plain,
( spl5_97
<=> ! [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_97])]) ).
fof(f961,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtlbdtrb0(X2,X3)),sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl5_66
| ~ spl5_97 ),
inference(resolution,[],[f938,f558]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_97 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f7826,plain,
( spl5_365
| ~ spl5_60
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1116,f574,f528,f7823]) ).
fof(f7823,plain,
( spl5_365
<=> xG = smndt0(smndt0(xG)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_365])]) ).
fof(f1116,plain,
( xG = smndt0(smndt0(xG))
| ~ spl5_60
| ~ spl5_69 ),
inference(resolution,[],[f576,f529]) ).
fof(f7821,plain,
( spl5_364
| ~ spl5_68
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f959,f937,f565,f7819]) ).
fof(f7819,plain,
( spl5_364
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_364])]) ).
fof(f959,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_97 ),
inference(resolution,[],[f938,f566]) ).
fof(f7817,plain,
( spl5_363
| ~ spl5_67
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f958,f937,f561,f7815]) ).
fof(f7815,plain,
( spl5_363
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_363])]) ).
fof(f958,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_67
| ~ spl5_97 ),
inference(resolution,[],[f938,f562]) ).
fof(f7807,plain,
( ~ spl5_19
| spl5_362
| ~ spl5_89
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f873,f853,f845,f7805,f320]) ).
fof(f7805,plain,
( spl5_362
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_362])]) ).
fof(f845,plain,
( spl5_89
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
fof(f873,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtpldt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_89
| ~ spl5_91 ),
inference(resolution,[],[f854,f846]) ).
fof(f846,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_89 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f7780,plain,
( ~ spl5_19
| spl5_361
| ~ spl5_90
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f872,f853,f849,f7778,f320]) ).
fof(f7778,plain,
( spl5_361
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_361])]) ).
fof(f849,plain,
( spl5_90
<=> ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f872,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X2))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_90
| ~ spl5_91 ),
inference(resolution,[],[f854,f850]) ).
fof(f850,plain,
( ! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_90 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f7763,plain,
( ~ spl5_19
| spl5_360
| ~ spl5_82
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f858,f849,f655,f7761,f320]) ).
fof(f7761,plain,
( spl5_360
<=> ! [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_360])]) ).
fof(f858,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_82
| ~ spl5_90 ),
inference(resolution,[],[f850,f656]) ).
fof(f7755,plain,
( ~ spl5_19
| spl5_359
| ~ spl5_82
| ~ spl5_89 ),
inference(avatar_split_clause,[],[f857,f845,f655,f7753,f320]) ).
fof(f7753,plain,
( spl5_359
<=> ! [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_359])]) ).
fof(f857,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_82
| ~ spl5_89 ),
inference(resolution,[],[f846,f656]) ).
fof(f7680,plain,
( spl5_358
| ~ spl5_105 ),
inference(avatar_split_clause,[],[f1079,f1073,f7678]) ).
fof(f7678,plain,
( spl5_358
<=> ! [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_358])]) ).
fof(f1079,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_105 ),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,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_105 ),
inference(equality_resolution,[],[f1074]) ).
fof(f7676,plain,
( spl5_357
| ~ spl5_66
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f944,f933,f557,f7674]) ).
fof(f7674,plain,
( spl5_357
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_357])]) ).
fof(f933,plain,
( spl5_96
<=> ! [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_96])]) ).
fof(f944,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl5_66
| ~ spl5_96 ),
inference(resolution,[],[f934,f558]) ).
fof(f934,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_96 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f7672,plain,
( spl5_356
| ~ spl5_68
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f942,f933,f565,f7670]) ).
fof(f7670,plain,
( spl5_356
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_356])]) ).
fof(f942,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_96 ),
inference(resolution,[],[f934,f566]) ).
fof(f7668,plain,
( spl5_355
| ~ spl5_67
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f941,f933,f561,f7666]) ).
fof(f7666,plain,
( spl5_355
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_355])]) ).
fof(f941,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_67
| ~ spl5_96 ),
inference(resolution,[],[f934,f562]) ).
fof(f7563,plain,
( spl5_354
| ~ spl5_66
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f918,f890,f557,f7561]) ).
fof(f7561,plain,
( spl5_354
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_354])]) ).
fof(f890,plain,
( spl5_94
<=> ! [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_94])]) ).
fof(f918,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl5_66
| ~ spl5_94 ),
inference(resolution,[],[f891,f558]) ).
fof(f891,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_94 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f7559,plain,
( spl5_353
| ~ spl5_68
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f916,f890,f565,f7557]) ).
fof(f7557,plain,
( spl5_353
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_353])]) ).
fof(f916,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_94 ),
inference(resolution,[],[f891,f566]) ).
fof(f7555,plain,
( spl5_352
| ~ spl5_67
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f915,f890,f561,f7553]) ).
fof(f7553,plain,
( spl5_352
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_352])]) ).
fof(f915,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_67
| ~ spl5_94 ),
inference(resolution,[],[f891,f562]) ).
fof(f7551,plain,
( spl5_351
| ~ spl5_66
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f901,f881,f557,f7549]) ).
fof(f7549,plain,
( spl5_351
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_351])]) ).
fof(f881,plain,
( spl5_92
<=> ! [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_92])]) ).
fof(f901,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtlbdtrb0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtlbdtrb0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X2) )
| ~ spl5_66
| ~ spl5_92 ),
inference(resolution,[],[f882,f558]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_92 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f7547,plain,
( spl5_350
| ~ spl5_68
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f899,f881,f565,f7545]) ).
fof(f7545,plain,
( spl5_350
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_350])]) ).
fof(f899,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_68
| ~ spl5_92 ),
inference(resolution,[],[f882,f566]) ).
fof(f7543,plain,
( spl5_349
| ~ spl5_67
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f898,f881,f561,f7541]) ).
fof(f7541,plain,
( spl5_349
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_349])]) ).
fof(f898,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X3)
| ~ aScalar0(X2) )
| ~ spl5_67
| ~ spl5_92 ),
inference(resolution,[],[f882,f562]) ).
fof(f7539,plain,
( spl5_348
| ~ spl5_23
| ~ spl5_330 ),
inference(avatar_split_clause,[],[f7125,f6779,f340,f7536]) ).
fof(f7536,plain,
( spl5_348
<=> sP2(sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_348])]) ).
fof(f6779,plain,
( spl5_330
<=> aScalar0(sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_330])]) ).
fof(f7125,plain,
( sP2(sdtasdt0(xC,xD))
| ~ spl5_23
| ~ spl5_330 ),
inference(resolution,[],[f6780,f341]) ).
fof(f6780,plain,
( aScalar0(sdtasdt0(xC,xD))
| ~ spl5_330 ),
inference(avatar_component_clause,[],[f6779]) ).
fof(f7512,plain,
( spl5_347
| ~ spl5_41
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f960,f937,f440,f7510]) ).
fof(f7510,plain,
( spl5_347
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_347])]) ).
fof(f960,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl5_41
| ~ spl5_97 ),
inference(resolution,[],[f938,f441]) ).
fof(f7500,plain,
( spl5_346
| ~ spl5_103 ),
inference(avatar_split_clause,[],[f1050,f1037,f7498]) ).
fof(f7498,plain,
( spl5_346
<=> ! [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_346])]) ).
fof(f1050,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_103 ),
inference(duplicate_literal_removal,[],[f1049]) ).
fof(f1049,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_103 ),
inference(equality_resolution,[],[f1038]) ).
fof(f7484,plain,
( ~ spl5_12
| ~ spl5_11
| spl5_345
| ~ spl5_33
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1031,f1013,f402,f7482,f280,f285]) ).
fof(f7482,plain,
( spl5_345
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xR)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_345])]) ).
fof(f1031,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xR)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(xR)
| ~ aScalar0(X0) )
| ~ spl5_33
| ~ spl5_102 ),
inference(superposition,[],[f1014,f404]) ).
fof(f7468,plain,
( ~ spl5_15
| ~ spl5_7
| spl5_344
| ~ spl5_35
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1030,f1013,f412,f7466,f260,f300]) ).
fof(f7466,plain,
( spl5_344
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xE)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_344])]) ).
fof(f1030,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xE)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(xE)
| ~ aScalar0(X0) )
| ~ spl5_35
| ~ spl5_102 ),
inference(superposition,[],[f1014,f414]) ).
fof(f7452,plain,
( ~ spl5_10
| ~ spl5_6
| spl5_343
| ~ spl5_32
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1029,f1013,f397,f7450,f255,f275]) ).
fof(f7450,plain,
( spl5_343
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xC)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_343])]) ).
fof(f1029,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xC)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(xC)
| ~ aScalar0(X0) )
| ~ spl5_32
| ~ spl5_102 ),
inference(superposition,[],[f1014,f399]) ).
fof(f7448,plain,
( spl5_342
| ~ spl5_23
| ~ spl5_329 ),
inference(avatar_split_clause,[],[f6806,f6775,f340,f7445]) ).
fof(f7445,plain,
( spl5_342
<=> sP2(sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_342])]) ).
fof(f6775,plain,
( spl5_329
<=> aScalar0(sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_329])]) ).
fof(f6806,plain,
( sP2(sdtasdt0(xE,xE))
| ~ spl5_23
| ~ spl5_329 ),
inference(resolution,[],[f6776,f341]) ).
fof(f6776,plain,
( aScalar0(sdtasdt0(xE,xE))
| ~ spl5_329 ),
inference(avatar_component_clause,[],[f6775]) ).
fof(f7431,plain,
( ~ spl5_8
| ~ spl5_9
| spl5_341
| ~ spl5_31
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1028,f1013,f392,f7429,f270,f265]) ).
fof(f7429,plain,
( spl5_341
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xF)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_341])]) ).
fof(f1028,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xF)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(xF)
| ~ aScalar0(X0) )
| ~ spl5_31
| ~ spl5_102 ),
inference(superposition,[],[f1014,f394]) ).
fof(f7415,plain,
( ~ spl5_17
| ~ spl5_16
| spl5_340
| ~ spl5_27
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1027,f1013,f372,f7413,f305,f310]) ).
fof(f7413,plain,
( spl5_340
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xA)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_340])]) ).
fof(f1027,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xA)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(xA)
| ~ aScalar0(X0) )
| ~ spl5_27
| ~ spl5_102 ),
inference(superposition,[],[f1014,f374]) ).
fof(f7406,plain,
( ~ spl5_330
| ~ spl5_329
| ~ spl5_338
| spl5_339
| ~ spl5_52
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f831,f655,f494,f7403,f7399,f6775,f6779]) ).
fof(f7399,plain,
( spl5_338
<=> sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_338])]) ).
fof(f7403,plain,
( spl5_339
<=> sdtasdt0(xE,xE) = sdtasdt0(xC,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_339])]) ).
fof(f494,plain,
( spl5_52
<=> sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f831,plain,
( sdtasdt0(xE,xE) = sdtasdt0(xC,xD)
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ spl5_52
| ~ spl5_82 ),
inference(resolution,[],[f656,f496]) ).
fof(f496,plain,
( sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ spl5_52 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f7124,plain,
( ~ spl5_10
| ~ spl5_9
| ~ spl5_68
| spl5_330 ),
inference(avatar_split_clause,[],[f6788,f6779,f565,f270,f275]) ).
fof(f6788,plain,
( ~ aScalar0(xD)
| ~ aScalar0(xC)
| ~ spl5_68
| spl5_330 ),
inference(resolution,[],[f6781,f566]) ).
fof(f6781,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| spl5_330 ),
inference(avatar_component_clause,[],[f6779]) ).
fof(f7123,plain,
( ~ spl5_12
| ~ spl5_11
| ~ spl5_221
| spl5_337
| ~ spl5_33
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1024,f1013,f402,f7121,f4300,f280,f285]) ).
fof(f4300,plain,
( spl5_221
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_221])]) ).
fof(f7121,plain,
( spl5_337
<=> ! [X0,X1] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xR,X0)
| ~ sdtlseqdt0(xS,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_337])]) ).
fof(f1024,plain,
( ! [X0,X1] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xR,X0)
| ~ aScalar0(X1)
| ~ aScalar0(xS)
| ~ aScalar0(X0)
| ~ aScalar0(xR) )
| ~ spl5_33
| ~ spl5_102 ),
inference(superposition,[],[f1014,f404]) ).
fof(f7105,plain,
( ~ spl5_10
| ~ spl5_6
| ~ spl5_116
| spl5_336
| ~ spl5_32
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1022,f1013,f397,f7103,f1220,f255,f275]) ).
fof(f1220,plain,
( spl5_116
<=> sdtlseqdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_116])]) ).
fof(f7103,plain,
( spl5_336
<=> ! [X0,X1] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xC,X0)
| ~ sdtlseqdt0(xG,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_336])]) ).
fof(f1022,plain,
( ! [X0,X1] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xC,X0)
| ~ aScalar0(X1)
| ~ aScalar0(xG)
| ~ aScalar0(X0)
| ~ aScalar0(xC) )
| ~ spl5_32
| ~ spl5_102 ),
inference(superposition,[],[f1014,f399]) ).
fof(f7087,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_113
| spl5_335
| ~ spl5_31
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1021,f1013,f392,f7085,f1199,f270,f265]) ).
fof(f1199,plain,
( spl5_113
<=> sdtlseqdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_113])]) ).
fof(f7085,plain,
( spl5_335
<=> ! [X0,X1] :
( sdtlseqdt0(xS,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(xF,X0)
| ~ sdtlseqdt0(xD,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_335])]) ).
fof(f1021,plain,
( ! [X0,X1] :
( sdtlseqdt0(xS,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xF,X0)
| ~ aScalar0(X1)
| ~ aScalar0(xD)
| ~ aScalar0(X0)
| ~ aScalar0(xF) )
| ~ spl5_31
| ~ spl5_102 ),
inference(superposition,[],[f1014,f394]) ).
fof(f7062,plain,
( spl5_334
| ~ spl5_41
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f943,f933,f440,f7060]) ).
fof(f7060,plain,
( spl5_334
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_334])]) ).
fof(f943,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl5_41
| ~ spl5_96 ),
inference(resolution,[],[f934,f441]) ).
fof(f7046,plain,
( ~ spl5_17
| spl5_333
| ~ spl5_28
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1033,f1013,f377,f7044,f310]) ).
fof(f7044,plain,
( spl5_333
<=> ! [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_333])]) ).
fof(f1033,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_102 ),
inference(duplicate_literal_removal,[],[f1025]) ).
fof(f1025,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_102 ),
inference(superposition,[],[f1014,f379]) ).
fof(f6805,plain,
( ~ spl5_15
| ~ spl5_68
| spl5_329 ),
inference(avatar_split_clause,[],[f6787,f6775,f565,f300]) ).
fof(f6787,plain,
( ~ aScalar0(xE)
| ~ spl5_68
| spl5_329 ),
inference(duplicate_literal_removal,[],[f6786]) ).
fof(f6786,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| ~ spl5_68
| spl5_329 ),
inference(resolution,[],[f6777,f566]) ).
fof(f6777,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| spl5_329 ),
inference(avatar_component_clause,[],[f6775]) ).
fof(f6792,plain,
( ~ spl5_16
| spl5_332
| ~ spl5_26
| ~ spl5_102 ),
inference(avatar_split_clause,[],[f1032,f1013,f367,f6790,f305]) ).
fof(f6790,plain,
( spl5_332
<=> ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_332])]) ).
fof(f1032,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xB)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_26
| ~ spl5_102 ),
inference(duplicate_literal_removal,[],[f1026]) ).
fof(f1026,plain,
( ! [X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X0,xB)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(xB)
| ~ aScalar0(X0) )
| ~ spl5_26
| ~ spl5_102 ),
inference(superposition,[],[f1014,f369]) ).
fof(f6785,plain,
( ~ spl5_329
| ~ spl5_330
| spl5_331
| ~ spl5_52
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f869,f853,f494,f6783,f6779,f6775]) ).
fof(f6783,plain,
( spl5_331
<=> ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xC,xD))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xE,xE)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_331])]) ).
fof(f869,plain,
( ! [X0] :
( sdtlseqdt0(X0,sdtasdt0(xC,xD))
| ~ sdtlseqdt0(X0,sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(X0) )
| ~ spl5_52
| ~ spl5_91 ),
inference(resolution,[],[f854,f496]) ).
fof(f6690,plain,
( spl5_328
| ~ spl5_59
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1115,f574,f524,f6687]) ).
fof(f6687,plain,
( spl5_328
<=> sz0z00 = sdtasdt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_328])]) ).
fof(f6599,plain,
( spl5_327
| ~ spl5_41
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f917,f890,f440,f6597]) ).
fof(f6597,plain,
( spl5_327
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_327])]) ).
fof(f917,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl5_41
| ~ spl5_94 ),
inference(resolution,[],[f891,f441]) ).
fof(f6595,plain,
( spl5_326
| ~ spl5_41
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f900,f881,f440,f6593]) ).
fof(f6593,plain,
( spl5_326
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_326])]) ).
fof(f900,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(X2) )
| ~ spl5_41
| ~ spl5_92 ),
inference(resolution,[],[f882,f441]) ).
fof(f6591,plain,
( spl5_325
| ~ spl5_66
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f812,f651,f557,f6589]) ).
fof(f6589,plain,
( spl5_325
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_325])]) ).
fof(f651,plain,
( spl5_81
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f812,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2))) = sdtasdt0(smndt0(X0),sdtlbdtrb0(X1,X2))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_66
| ~ spl5_81 ),
inference(resolution,[],[f652,f558]) ).
fof(f652,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X0) )
| ~ spl5_81 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f6587,plain,
( spl5_324
| ~ spl5_68
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f810,f651,f565,f6585]) ).
fof(f6585,plain,
( spl5_324
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_324])]) ).
fof(f810,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_81 ),
inference(resolution,[],[f652,f566]) ).
fof(f6583,plain,
( spl5_323
| ~ spl5_58
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1114,f574,f520,f6580]) ).
fof(f6580,plain,
( spl5_323
<=> sz0z00 = sdtasdt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_323])]) ).
fof(f6578,plain,
( spl5_322
| ~ spl5_67
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f809,f651,f561,f6576]) ).
fof(f6576,plain,
( spl5_322
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_322])]) ).
fof(f809,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_67
| ~ spl5_81 ),
inference(resolution,[],[f652,f562]) ).
fof(f6574,plain,
( spl5_321
| ~ spl5_66
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f794,f647,f557,f6572]) ).
fof(f6572,plain,
( spl5_321
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_321])]) ).
fof(f647,plain,
( spl5_80
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f794,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtlbdtrb0(X1,X2))) = smndt0(sdtasdt0(X0,sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_66
| ~ spl5_80 ),
inference(resolution,[],[f648,f558]) ).
fof(f648,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X0) )
| ~ spl5_80 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f6570,plain,
( spl5_320
| ~ spl5_68
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f792,f647,f565,f6568]) ).
fof(f6568,plain,
( spl5_320
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_320])]) ).
fof(f792,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_80 ),
inference(resolution,[],[f648,f566]) ).
fof(f6566,plain,
( spl5_319
| ~ spl5_67
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f791,f647,f561,f6564]) ).
fof(f6564,plain,
( spl5_319
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_319])]) ).
fof(f791,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = smndt0(sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_67
| ~ spl5_80 ),
inference(resolution,[],[f648,f562]) ).
fof(f6562,plain,
( spl5_318
| ~ spl5_66
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f776,f638,f557,f6560]) ).
fof(f6560,plain,
( spl5_318
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_318])]) ).
fof(f638,plain,
( spl5_78
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f776,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtlbdtrb0(X1,X2)))
| ~ aScalar0(X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_66
| ~ spl5_78 ),
inference(resolution,[],[f639,f558]) ).
fof(f639,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X0) )
| ~ spl5_78 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f6558,plain,
( spl5_317
| ~ spl5_68
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f774,f638,f565,f6556]) ).
fof(f6556,plain,
( spl5_317
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_317])]) ).
fof(f774,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_78 ),
inference(resolution,[],[f639,f566]) ).
fof(f6554,plain,
( spl5_316
| ~ spl5_67
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f773,f638,f561,f6552]) ).
fof(f6552,plain,
( spl5_316
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_316])]) ).
fof(f773,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(smndt0(X0),smndt0(sdtpldt0(X1,X2)))
| ~ aScalar0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_67
| ~ spl5_78 ),
inference(resolution,[],[f639,f562]) ).
fof(f6546,plain,
( ~ spl5_4
| spl5_107
| spl5_315
| ~ spl5_22
| ~ spl5_24
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f994,f975,f357,f335,f6544,f1170,f245]) ).
fof(f6544,plain,
( spl5_315
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_315])]) ).
fof(f975,plain,
( spl5_98
<=> ! [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_98])]) ).
fof(f994,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_22
| ~ spl5_24
| ~ spl5_98 ),
inference(forward_demodulation,[],[f990,f337]) ).
fof(f990,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(xt)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_24
| ~ spl5_98 ),
inference(superposition,[],[f976,f359]) ).
fof(f976,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_98 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f6538,plain,
( spl5_314
| ~ spl5_57
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1113,f574,f516,f6535]) ).
fof(f6535,plain,
( spl5_314
<=> xG = sdtpldt0(sz0z00,xG) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_314])]) ).
fof(f1113,plain,
( xG = sdtpldt0(sz0z00,xG)
| ~ spl5_57
| ~ spl5_69 ),
inference(resolution,[],[f576,f517]) ).
fof(f6533,plain,
( ~ spl5_4
| spl5_313
| ~ spl5_22
| ~ spl5_24
| ~ spl5_98 ),
inference(avatar_split_clause,[],[f993,f975,f357,f335,f6531,f245]) ).
fof(f6531,plain,
( spl5_313
<=> ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) != aDimensionOf0(xt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_313])]) ).
fof(f993,plain,
( ! [X0] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xp)
| aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_22
| ~ spl5_24
| ~ spl5_98 ),
inference(forward_demodulation,[],[f989,f337]) ).
fof(f989,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xs))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_98 ),
inference(superposition,[],[f976,f359]) ).
fof(f6518,plain,
( ~ spl5_19
| spl5_312
| ~ spl5_54
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f871,f853,f503,f6516,f320]) ).
fof(f6516,plain,
( spl5_312
<=> ! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_312])]) ).
fof(f503,plain,
( spl5_54
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
fof(f871,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_54
| ~ spl5_91 ),
inference(resolution,[],[f854,f504]) ).
fof(f504,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f6506,plain,
( ~ spl5_19
| spl5_311
| ~ spl5_53
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f870,f853,f499,f6504,f320]) ).
fof(f6504,plain,
( spl5_311
<=> ! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ aVector0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_311])]) ).
fof(f499,plain,
( spl5_53
<=> ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f870,plain,
( ! [X0,X1] :
( sdtlseqdt0(X0,sdtasasdt0(X1,X1))
| ~ sdtlseqdt0(X0,sz0z00)
| ~ aScalar0(sdtasasdt0(X1,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aVector0(X1) )
| ~ spl5_53
| ~ spl5_91 ),
inference(resolution,[],[f854,f500]) ).
fof(f500,plain,
( ! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_53 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f6496,plain,
( ~ spl5_19
| spl5_310
| ~ spl5_54
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f833,f655,f503,f6494,f320]) ).
fof(f6494,plain,
( spl5_310
<=> ! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_310])]) ).
fof(f833,plain,
( ! [X0] :
( sz0z00 = sdtasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ aScalar0(X0) )
| ~ spl5_54
| ~ spl5_82 ),
inference(resolution,[],[f656,f504]) ).
fof(f6486,plain,
( ~ spl5_19
| spl5_309
| ~ spl5_53
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f832,f655,f499,f6484,f320]) ).
fof(f6484,plain,
( spl5_309
<=> ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_309])]) ).
fof(f832,plain,
( ! [X0] :
( sz0z00 = sdtasasdt0(X0,X0)
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_53
| ~ spl5_82 ),
inference(resolution,[],[f656,f500]) ).
fof(f6448,plain,
( spl5_308
| ~ spl5_56
| ~ spl5_69 ),
inference(avatar_split_clause,[],[f1112,f574,f512,f6445]) ).
fof(f6445,plain,
( spl5_308
<=> xG = sdtpldt0(xG,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_308])]) ).
fof(f1112,plain,
( xG = sdtpldt0(xG,sz0z00)
| ~ spl5_56
| ~ spl5_69 ),
inference(resolution,[],[f576,f513]) ).
fof(f6323,plain,
( spl5_307
| ~ spl5_19
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f957,f937,f320,f6321]) ).
fof(f6321,plain,
( spl5_307
<=> ! [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_307])]) ).
fof(f957,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(sdtasdt0(X0,sz0z00),sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_97 ),
inference(resolution,[],[f938,f322]) ).
fof(f6319,plain,
( spl5_306
| ~ spl5_19
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f940,f933,f320,f6317]) ).
fof(f6317,plain,
( spl5_306
<=> ! [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_306])]) ).
fof(f940,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz0z00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_96 ),
inference(resolution,[],[f934,f322]) ).
fof(f6315,plain,
( spl5_305
| ~ spl5_66
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f755,f748,f557,f6313]) ).
fof(f6313,plain,
( spl5_305
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_305])]) ).
fof(f748,plain,
( spl5_86
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f755,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtlbdtrb0(X1,X2)) = sdtasdt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_66
| ~ spl5_86 ),
inference(resolution,[],[f749,f558]) ).
fof(f749,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ spl5_86 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f6311,plain,
( spl5_304
| ~ spl5_60
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1109,f536,f528,f6308]) ).
fof(f6308,plain,
( spl5_304
<=> xF = smndt0(smndt0(xF)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_304])]) ).
fof(f1109,plain,
( xF = smndt0(smndt0(xF))
| ~ spl5_60
| ~ spl5_61 ),
inference(resolution,[],[f538,f529]) ).
fof(f6306,plain,
( spl5_303
| ~ spl5_68
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f753,f748,f565,f6304]) ).
fof(f6304,plain,
( spl5_303
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_303])]) ).
fof(f753,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_86 ),
inference(resolution,[],[f749,f566]) ).
fof(f6302,plain,
( spl5_302
| ~ spl5_67
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f752,f748,f561,f6300]) ).
fof(f6300,plain,
( spl5_302
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_302])]) ).
fof(f752,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_67
| ~ spl5_86 ),
inference(resolution,[],[f749,f562]) ).
fof(f6298,plain,
( spl5_301
| ~ spl5_66
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f734,f662,f557,f6296]) ).
fof(f6296,plain,
( spl5_301
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtlbdtrb0(X1,X2)) = sdtpldt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_301])]) ).
fof(f662,plain,
( spl5_84
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f734,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtlbdtrb0(X1,X2)) = sdtpldt0(sdtlbdtrb0(X1,X2),X0)
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) )
| ~ spl5_66
| ~ spl5_84 ),
inference(resolution,[],[f663,f558]) ).
fof(f663,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ spl5_84 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f6294,plain,
( spl5_300
| ~ spl5_68
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f732,f662,f565,f6292]) ).
fof(f6292,plain,
( spl5_300
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_300])]) ).
fof(f732,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_68
| ~ spl5_84 ),
inference(resolution,[],[f663,f566]) ).
fof(f6290,plain,
( spl5_299
| ~ spl5_67
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f731,f662,f561,f6288]) ).
fof(f6288,plain,
( spl5_299
<=> ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_299])]) ).
fof(f731,plain,
( ! [X2,X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1) )
| ~ spl5_67
| ~ spl5_84 ),
inference(resolution,[],[f663,f562]) ).
fof(f6153,plain,
( spl5_298
| ~ spl5_59
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1108,f536,f524,f6150]) ).
fof(f6150,plain,
( spl5_298
<=> sz0z00 = sdtasdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_298])]) ).
fof(f5881,plain,
( spl5_297
| ~ spl5_58
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1107,f536,f520,f5878]) ).
fof(f5878,plain,
( spl5_297
<=> sz0z00 = sdtasdt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_297])]) ).
fof(f5633,plain,
( spl5_296
| ~ spl5_13
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f973,f937,f290,f5631]) ).
fof(f5631,plain,
( spl5_296
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_296])]) ).
fof(f973,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xN) = sdtpldt0(sdtasdt0(X0,xN),sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_97 ),
inference(resolution,[],[f938,f292]) ).
fof(f5629,plain,
( spl5_295
| ~ spl5_57
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1106,f536,f516,f5626]) ).
fof(f5626,plain,
( spl5_295
<=> xF = sdtpldt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_295])]) ).
fof(f1106,plain,
( xF = sdtpldt0(sz0z00,xF)
| ~ spl5_57
| ~ spl5_61 ),
inference(resolution,[],[f538,f517]) ).
fof(f5624,plain,
( spl5_294
| ~ spl5_11
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f972,f937,f280,f5622]) ).
fof(f5622,plain,
( spl5_294
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_294])]) ).
fof(f972,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_97 ),
inference(resolution,[],[f938,f282]) ).
fof(f5620,plain,
( spl5_293
| ~ spl5_14
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f971,f937,f295,f5618]) ).
fof(f5618,plain,
( spl5_293
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_293])]) ).
fof(f971,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xP) = sdtpldt0(sdtasdt0(X0,xP),sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_97 ),
inference(resolution,[],[f938,f297]) ).
fof(f5616,plain,
( spl5_292
| ~ spl5_12
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f970,f937,f285,f5614]) ).
fof(f5614,plain,
( spl5_292
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_292])]) ).
fof(f970,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xR) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_97 ),
inference(resolution,[],[f938,f287]) ).
fof(f5612,plain,
( spl5_291
| ~ spl5_7
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f969,f937,f260,f5610]) ).
fof(f5610,plain,
( spl5_291
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_291])]) ).
fof(f969,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xH) = sdtpldt0(sdtasdt0(X0,xH),sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_97 ),
inference(resolution,[],[f938,f262]) ).
fof(f5608,plain,
( spl5_290
| ~ spl5_6
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f968,f937,f255,f5606]) ).
fof(f5606,plain,
( spl5_290
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_290])]) ).
fof(f968,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xG) = sdtpldt0(sdtasdt0(X0,xG),sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_97 ),
inference(resolution,[],[f938,f257]) ).
fof(f5604,plain,
( spl5_289
| ~ spl5_8
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f967,f937,f265,f5602]) ).
fof(f5602,plain,
( spl5_289
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_289])]) ).
fof(f967,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xF) = sdtpldt0(sdtasdt0(X0,xF),sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_97 ),
inference(resolution,[],[f938,f267]) ).
fof(f5600,plain,
( spl5_288
| ~ spl5_15
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f966,f937,f300,f5598]) ).
fof(f5598,plain,
( spl5_288
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_288])]) ).
fof(f966,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xE) = sdtpldt0(sdtasdt0(X0,xE),sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_97 ),
inference(resolution,[],[f938,f302]) ).
fof(f5596,plain,
( spl5_287
| ~ spl5_9
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f965,f937,f270,f5594]) ).
fof(f5594,plain,
( spl5_287
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_287])]) ).
fof(f965,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xD) = sdtpldt0(sdtasdt0(X0,xD),sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_97 ),
inference(resolution,[],[f938,f272]) ).
fof(f5592,plain,
( spl5_286
| ~ spl5_10
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f964,f937,f275,f5590]) ).
fof(f5590,plain,
( spl5_286
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_286])]) ).
fof(f964,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xC) = sdtpldt0(sdtasdt0(X0,xC),sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_97 ),
inference(resolution,[],[f938,f277]) ).
fof(f5588,plain,
( spl5_285
| ~ spl5_16
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f963,f937,f305,f5586]) ).
fof(f5586,plain,
( spl5_285
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_285])]) ).
fof(f963,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xB) = sdtpldt0(sdtasdt0(X0,xB),sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_97 ),
inference(resolution,[],[f938,f307]) ).
fof(f5577,plain,
( spl5_284
| ~ spl5_17
| ~ spl5_97 ),
inference(avatar_split_clause,[],[f962,f937,f310,f5575]) ).
fof(f5575,plain,
( spl5_284
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_284])]) ).
fof(f962,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xA) = sdtpldt0(sdtasdt0(X0,xA),sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_17
| ~ spl5_97 ),
inference(resolution,[],[f938,f312]) ).
fof(f5573,plain,
( spl5_283
| ~ spl5_13
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f956,f933,f290,f5571]) ).
fof(f5571,plain,
( spl5_283
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xN)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_283])]) ).
fof(f956,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xN)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_96 ),
inference(resolution,[],[f934,f292]) ).
fof(f5569,plain,
( spl5_282
| ~ spl5_11
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f955,f933,f280,f5567]) ).
fof(f5567,plain,
( spl5_282
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xS)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_282])]) ).
fof(f955,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xS)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_96 ),
inference(resolution,[],[f934,f282]) ).
fof(f5565,plain,
( spl5_281
| ~ spl5_14
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f954,f933,f295,f5563]) ).
fof(f5563,plain,
( spl5_281
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xP)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_281])]) ).
fof(f954,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xP)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_96 ),
inference(resolution,[],[f934,f297]) ).
fof(f5561,plain,
( spl5_280
| ~ spl5_12
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f953,f933,f285,f5559]) ).
fof(f5559,plain,
( spl5_280
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xR)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_280])]) ).
fof(f953,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xR)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_96 ),
inference(resolution,[],[f934,f287]) ).
fof(f5557,plain,
( spl5_279
| ~ spl5_7
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f952,f933,f260,f5555]) ).
fof(f5555,plain,
( spl5_279
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xH)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_279])]) ).
fof(f952,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xH)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_96 ),
inference(resolution,[],[f934,f262]) ).
fof(f5553,plain,
( spl5_278
| ~ spl5_6
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f951,f933,f255,f5551]) ).
fof(f5551,plain,
( spl5_278
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xG)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_278])]) ).
fof(f951,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xG)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_96 ),
inference(resolution,[],[f934,f257]) ).
fof(f5549,plain,
( spl5_277
| ~ spl5_8
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f950,f933,f265,f5547]) ).
fof(f5547,plain,
( spl5_277
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xF)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_277])]) ).
fof(f950,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xF)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_96 ),
inference(resolution,[],[f934,f267]) ).
fof(f5545,plain,
( spl5_276
| ~ spl5_15
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f949,f933,f300,f5543]) ).
fof(f5543,plain,
( spl5_276
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xE)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_276])]) ).
fof(f949,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xE)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_96 ),
inference(resolution,[],[f934,f302]) ).
fof(f5541,plain,
( spl5_275
| ~ spl5_9
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f948,f933,f270,f5539]) ).
fof(f5539,plain,
( spl5_275
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xD)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_275])]) ).
fof(f948,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xD)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_96 ),
inference(resolution,[],[f934,f272]) ).
fof(f5537,plain,
( spl5_274
| ~ spl5_23
| ~ spl5_266 ),
inference(avatar_split_clause,[],[f5322,f5307,f340,f5534]) ).
fof(f5534,plain,
( spl5_274
<=> sP2(sdtasdt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_274])]) ).
fof(f5307,plain,
( spl5_266
<=> aScalar0(sdtasdt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_266])]) ).
fof(f5322,plain,
( sP2(sdtasdt0(xP,xP))
| ~ spl5_23
| ~ spl5_266 ),
inference(resolution,[],[f5308,f341]) ).
fof(f5308,plain,
( aScalar0(sdtasdt0(xP,xP))
| ~ spl5_266 ),
inference(avatar_component_clause,[],[f5307]) ).
fof(f5532,plain,
( spl5_273
| ~ spl5_10
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f947,f933,f275,f5530]) ).
fof(f5530,plain,
( spl5_273
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xC)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_273])]) ).
fof(f947,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xC)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_96 ),
inference(resolution,[],[f934,f277]) ).
fof(f5528,plain,
( spl5_272
| ~ spl5_16
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f946,f933,f305,f5526]) ).
fof(f5526,plain,
( spl5_272
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xB)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_272])]) ).
fof(f946,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xB)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_96 ),
inference(resolution,[],[f934,f307]) ).
fof(f5524,plain,
( spl5_271
| ~ spl5_17
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f945,f933,f310,f5522]) ).
fof(f5522,plain,
( spl5_271
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xA)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_271])]) ).
fof(f945,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xA)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_17
| ~ spl5_96 ),
inference(resolution,[],[f934,f312]) ).
fof(f5515,plain,
( spl5_270
| ~ spl5_65
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f619,f609,f553,f5513]) ).
fof(f5513,plain,
( spl5_270
<=> ! [X0] :
( sz00 = sK4(X0)
| sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_270])]) ).
fof(f553,plain,
( spl5_65
<=> ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
fof(f609,plain,
( spl5_73
<=> ! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
fof(f619,plain,
( ! [X0] :
( sz00 = sK4(X0)
| sK4(X0) = szszuzczcdt0(sK4(sK4(X0)))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_65
| ~ spl5_73 ),
inference(resolution,[],[f610,f554]) ).
fof(f554,plain,
( ! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl5_65 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f610,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| szszuzczcdt0(sK4(X0)) = X0 )
| ~ spl5_73 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f5500,plain,
( ~ spl5_266
| ~ spl5_13
| spl5_269
| ~ spl5_25
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f868,f853,f362,f5498,f290,f5307]) ).
fof(f5498,plain,
( spl5_269
<=> ! [X0] :
( sdtlseqdt0(X0,xN)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xP,xP)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_269])]) ).
fof(f362,plain,
( spl5_25
<=> sdtlseqdt0(sdtasdt0(xP,xP),xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f868,plain,
( ! [X0] :
( sdtlseqdt0(X0,xN)
| ~ sdtlseqdt0(X0,sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(X0) )
| ~ spl5_25
| ~ spl5_91 ),
inference(resolution,[],[f854,f364]) ).
fof(f364,plain,
( sdtlseqdt0(sdtasdt0(xP,xP),xN)
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f5321,plain,
( ~ spl5_14
| ~ spl5_68
| spl5_266 ),
inference(avatar_split_clause,[],[f5320,f5307,f565,f295]) ).
fof(f5320,plain,
( ~ aScalar0(xP)
| ~ spl5_68
| spl5_266 ),
inference(duplicate_literal_removal,[],[f5319]) ).
fof(f5319,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| ~ spl5_68
| spl5_266 ),
inference(resolution,[],[f5309,f566]) ).
fof(f5309,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| spl5_266 ),
inference(avatar_component_clause,[],[f5307]) ).
fof(f5318,plain,
( ~ spl5_13
| ~ spl5_266
| ~ spl5_267
| spl5_268
| ~ spl5_25
| ~ spl5_82 ),
inference(avatar_split_clause,[],[f830,f655,f362,f5315,f5311,f5307,f290]) ).
fof(f5311,plain,
( spl5_267
<=> sdtlseqdt0(xN,sdtasdt0(xP,xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_267])]) ).
fof(f5315,plain,
( spl5_268
<=> xN = sdtasdt0(xP,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_268])]) ).
fof(f830,plain,
( xN = sdtasdt0(xP,xP)
| ~ sdtlseqdt0(xN,sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ spl5_25
| ~ spl5_82 ),
inference(resolution,[],[f656,f364]) ).
fof(f5139,plain,
( spl5_265
| ~ spl5_19
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f914,f890,f320,f5137]) ).
fof(f5137,plain,
( spl5_265
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_265])]) ).
fof(f914,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,sdtasdt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_94 ),
inference(resolution,[],[f891,f322]) ).
fof(f5135,plain,
( spl5_264
| ~ spl5_19
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f897,f881,f320,f5133]) ).
fof(f5133,plain,
( spl5_264
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_264])]) ).
fof(f897,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,sdtpldt0(X1,sz0z00))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_92 ),
inference(resolution,[],[f882,f322]) ).
fof(f5131,plain,
( spl5_263
| ~ spl5_56
| ~ spl5_61 ),
inference(avatar_split_clause,[],[f1105,f536,f512,f5128]) ).
fof(f5128,plain,
( spl5_263
<=> xF = sdtpldt0(xF,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_263])]) ).
fof(f1105,plain,
( xF = sdtpldt0(xF,sz0z00)
| ~ spl5_56
| ~ spl5_61 ),
inference(resolution,[],[f538,f513]) ).
fof(f5126,plain,
( spl5_262
| ~ spl5_74
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f878,f853,f613,f5124]) ).
fof(f5124,plain,
( spl5_262
<=> ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_262])]) ).
fof(f613,plain,
( spl5_74
<=> ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
fof(f878,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2) )
| ~ spl5_74
| ~ spl5_91 ),
inference(duplicate_literal_removal,[],[f875]) ).
fof(f875,plain,
( ! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) )
| ~ spl5_74
| ~ spl5_91 ),
inference(resolution,[],[f854,f614]) ).
fof(f614,plain,
( ! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_74 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f5122,plain,
( spl5_261
| ~ spl5_41
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f811,f651,f440,f5120]) ).
fof(f5120,plain,
( spl5_261
<=> ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_261])]) ).
fof(f811,plain,
( ! [X0,X1] :
( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_41
| ~ spl5_81 ),
inference(resolution,[],[f652,f441]) ).
fof(f5118,plain,
( spl5_260
| ~ spl5_41
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f793,f647,f440,f5116]) ).
fof(f5116,plain,
( spl5_260
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_260])]) ).
fof(f793,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(smndt0(X1))) = smndt0(sdtasdt0(X0,smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_41
| ~ spl5_80 ),
inference(resolution,[],[f648,f441]) ).
fof(f5114,plain,
( spl5_259
| ~ spl5_41
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f775,f638,f440,f5112]) ).
fof(f5112,plain,
( spl5_259
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_259])]) ).
fof(f775,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X0),smndt0(smndt0(X1)))
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl5_41
| ~ spl5_78 ),
inference(resolution,[],[f639,f441]) ).
fof(f4958,plain,
( spl5_258
| ~ spl5_55
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1102,f528,f507,f4955]) ).
fof(f4955,plain,
( spl5_258
<=> xE = smndt0(smndt0(xE)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_258])]) ).
fof(f1102,plain,
( xE = smndt0(smndt0(xE))
| ~ spl5_55
| ~ spl5_60 ),
inference(resolution,[],[f509,f529]) ).
fof(f4710,plain,
( spl5_257
| ~ spl5_55
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1101,f524,f507,f4707]) ).
fof(f4707,plain,
( spl5_257
<=> sz0z00 = sdtasdt0(sz0z00,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_257])]) ).
fof(f4505,plain,
( spl5_256
| ~ spl5_13
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f930,f890,f290,f4503]) ).
fof(f4503,plain,
( spl5_256
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xN) = sdtasdt0(X0,sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_256])]) ).
fof(f930,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xN) = sdtasdt0(X0,sdtasdt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_94 ),
inference(resolution,[],[f891,f292]) ).
fof(f4501,plain,
( spl5_255
| ~ spl5_11
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f929,f890,f280,f4499]) ).
fof(f4499,plain,
( spl5_255
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xS) = sdtasdt0(X0,sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_255])]) ).
fof(f929,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xS) = sdtasdt0(X0,sdtasdt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_94 ),
inference(resolution,[],[f891,f282]) ).
fof(f4497,plain,
( spl5_254
| ~ spl5_55
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1100,f520,f507,f4494]) ).
fof(f4494,plain,
( spl5_254
<=> sz0z00 = sdtasdt0(xE,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_254])]) ).
fof(f4492,plain,
( spl5_253
| ~ spl5_14
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f928,f890,f295,f4490]) ).
fof(f4490,plain,
( spl5_253
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xP) = sdtasdt0(X0,sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_253])]) ).
fof(f928,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xP) = sdtasdt0(X0,sdtasdt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_94 ),
inference(resolution,[],[f891,f297]) ).
fof(f4488,plain,
( spl5_252
| ~ spl5_12
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f927,f890,f285,f4486]) ).
fof(f4486,plain,
( spl5_252
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xR) = sdtasdt0(X0,sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_252])]) ).
fof(f927,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xR) = sdtasdt0(X0,sdtasdt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_94 ),
inference(resolution,[],[f891,f287]) ).
fof(f4484,plain,
( spl5_251
| ~ spl5_7
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f926,f890,f260,f4482]) ).
fof(f4482,plain,
( spl5_251
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_251])]) ).
fof(f926,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_94 ),
inference(resolution,[],[f891,f262]) ).
fof(f4480,plain,
( spl5_250
| ~ spl5_6
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f925,f890,f255,f4478]) ).
fof(f4478,plain,
( spl5_250
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_250])]) ).
fof(f925,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xG) = sdtasdt0(X0,sdtasdt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_94 ),
inference(resolution,[],[f891,f257]) ).
fof(f4476,plain,
( spl5_249
| ~ spl5_8
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f924,f890,f265,f4474]) ).
fof(f4474,plain,
( spl5_249
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xF) = sdtasdt0(X0,sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_249])]) ).
fof(f924,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xF) = sdtasdt0(X0,sdtasdt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_94 ),
inference(resolution,[],[f891,f267]) ).
fof(f4472,plain,
( spl5_248
| ~ spl5_15
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f923,f890,f300,f4470]) ).
fof(f4470,plain,
( spl5_248
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xE) = sdtasdt0(X0,sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_248])]) ).
fof(f923,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xE) = sdtasdt0(X0,sdtasdt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_94 ),
inference(resolution,[],[f891,f302]) ).
fof(f4468,plain,
( spl5_247
| ~ spl5_9
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f922,f890,f270,f4466]) ).
fof(f4466,plain,
( spl5_247
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xD) = sdtasdt0(X0,sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_247])]) ).
fof(f922,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xD) = sdtasdt0(X0,sdtasdt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_94 ),
inference(resolution,[],[f891,f272]) ).
fof(f4464,plain,
( spl5_246
| ~ spl5_10
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f921,f890,f275,f4462]) ).
fof(f4462,plain,
( spl5_246
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_246])]) ).
fof(f921,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xC) = sdtasdt0(X0,sdtasdt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_94 ),
inference(resolution,[],[f891,f277]) ).
fof(f4460,plain,
( spl5_245
| ~ spl5_16
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f920,f890,f305,f4458]) ).
fof(f4458,plain,
( spl5_245
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_245])]) ).
fof(f920,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xB) = sdtasdt0(X0,sdtasdt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_94 ),
inference(resolution,[],[f891,f307]) ).
fof(f4456,plain,
( spl5_244
| ~ spl5_17
| ~ spl5_94 ),
inference(avatar_split_clause,[],[f919,f890,f310,f4454]) ).
fof(f4454,plain,
( spl5_244
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xA) = sdtasdt0(X0,sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_244])]) ).
fof(f919,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xA) = sdtasdt0(X0,sdtasdt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_17
| ~ spl5_94 ),
inference(resolution,[],[f891,f312]) ).
fof(f4452,plain,
( spl5_243
| ~ spl5_55
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1099,f516,f507,f4449]) ).
fof(f4449,plain,
( spl5_243
<=> xE = sdtpldt0(sz0z00,xE) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_243])]) ).
fof(f1099,plain,
( xE = sdtpldt0(sz0z00,xE)
| ~ spl5_55
| ~ spl5_57 ),
inference(resolution,[],[f509,f517]) ).
fof(f4447,plain,
( spl5_242
| ~ spl5_13
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f913,f881,f290,f4445]) ).
fof(f4445,plain,
( spl5_242
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_242])]) ).
fof(f913,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_92 ),
inference(resolution,[],[f882,f292]) ).
fof(f4443,plain,
( spl5_241
| ~ spl5_11
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f912,f881,f280,f4441]) ).
fof(f4441,plain,
( spl5_241
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xS) = sdtpldt0(X0,sdtpldt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_241])]) ).
fof(f912,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xS) = sdtpldt0(X0,sdtpldt0(X1,xS))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_92 ),
inference(resolution,[],[f882,f282]) ).
fof(f4439,plain,
( spl5_240
| ~ spl5_14
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f911,f881,f295,f4437]) ).
fof(f4437,plain,
( spl5_240
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xP) = sdtpldt0(X0,sdtpldt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_240])]) ).
fof(f911,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xP) = sdtpldt0(X0,sdtpldt0(X1,xP))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_92 ),
inference(resolution,[],[f882,f297]) ).
fof(f4435,plain,
( spl5_239
| ~ spl5_12
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f910,f881,f285,f4433]) ).
fof(f4433,plain,
( spl5_239
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xR) = sdtpldt0(X0,sdtpldt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_239])]) ).
fof(f910,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xR) = sdtpldt0(X0,sdtpldt0(X1,xR))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_92 ),
inference(resolution,[],[f882,f287]) ).
fof(f4431,plain,
( spl5_238
| ~ spl5_7
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f909,f881,f260,f4429]) ).
fof(f4429,plain,
( spl5_238
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xH) = sdtpldt0(X0,sdtpldt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_238])]) ).
fof(f909,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xH) = sdtpldt0(X0,sdtpldt0(X1,xH))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_92 ),
inference(resolution,[],[f882,f262]) ).
fof(f4427,plain,
( spl5_237
| ~ spl5_6
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f908,f881,f255,f4425]) ).
fof(f4425,plain,
( spl5_237
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xG) = sdtpldt0(X0,sdtpldt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_237])]) ).
fof(f908,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xG) = sdtpldt0(X0,sdtpldt0(X1,xG))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_92 ),
inference(resolution,[],[f882,f257]) ).
fof(f4423,plain,
( spl5_236
| ~ spl5_8
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f907,f881,f265,f4421]) ).
fof(f4421,plain,
( spl5_236
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xF) = sdtpldt0(X0,sdtpldt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_236])]) ).
fof(f907,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xF) = sdtpldt0(X0,sdtpldt0(X1,xF))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_92 ),
inference(resolution,[],[f882,f267]) ).
fof(f4419,plain,
( spl5_235
| ~ spl5_15
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f906,f881,f300,f4417]) ).
fof(f4417,plain,
( spl5_235
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xE) = sdtpldt0(X0,sdtpldt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_235])]) ).
fof(f906,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xE) = sdtpldt0(X0,sdtpldt0(X1,xE))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_92 ),
inference(resolution,[],[f882,f302]) ).
fof(f4415,plain,
( spl5_234
| ~ spl5_9
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f905,f881,f270,f4413]) ).
fof(f4413,plain,
( spl5_234
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xD) = sdtpldt0(X0,sdtpldt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_234])]) ).
fof(f905,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xD) = sdtpldt0(X0,sdtpldt0(X1,xD))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_92 ),
inference(resolution,[],[f882,f272]) ).
fof(f4411,plain,
( spl5_233
| ~ spl5_10
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f904,f881,f275,f4409]) ).
fof(f4409,plain,
( spl5_233
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xC) = sdtpldt0(X0,sdtpldt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_233])]) ).
fof(f904,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xC) = sdtpldt0(X0,sdtpldt0(X1,xC))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_92 ),
inference(resolution,[],[f882,f277]) ).
fof(f4407,plain,
( spl5_232
| ~ spl5_55
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f1098,f512,f507,f4404]) ).
fof(f4404,plain,
( spl5_232
<=> xE = sdtpldt0(xE,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_232])]) ).
fof(f1098,plain,
( xE = sdtpldt0(xE,sz0z00)
| ~ spl5_55
| ~ spl5_56 ),
inference(resolution,[],[f509,f513]) ).
fof(f4402,plain,
( spl5_231
| ~ spl5_16
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f903,f881,f305,f4400]) ).
fof(f4400,plain,
( spl5_231
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xB) = sdtpldt0(X0,sdtpldt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_231])]) ).
fof(f903,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xB) = sdtpldt0(X0,sdtpldt0(X1,xB))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_92 ),
inference(resolution,[],[f882,f307]) ).
fof(f4398,plain,
( spl5_230
| ~ spl5_17
| ~ spl5_92 ),
inference(avatar_split_clause,[],[f902,f881,f310,f4396]) ).
fof(f4396,plain,
( spl5_230
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xA) = sdtpldt0(X0,sdtpldt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_230])]) ).
fof(f902,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xA) = sdtpldt0(X0,sdtpldt0(X1,xA))
| ~ aScalar0(X1)
| ~ aScalar0(X0) )
| ~ spl5_17
| ~ spl5_92 ),
inference(resolution,[],[f882,f312]) ).
fof(f4394,plain,
( ~ spl5_4
| spl5_229
| ~ spl5_24
| ~ spl5_88 ),
inference(avatar_split_clause,[],[f856,f841,f357,f4392,f245]) ).
fof(f4392,plain,
( spl5_229
<=> ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xt))
| sP0(X0,xs)
| aNaturalNumber0(sK3(X0,xs)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_229])]) ).
fof(f841,plain,
( spl5_88
<=> ! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
fof(f856,plain,
( ! [X0] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(xt))
| aNaturalNumber0(sK3(X0,xs))
| sP0(X0,xs)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_88 ),
inference(superposition,[],[f842,f359]) ).
fof(f842,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| aNaturalNumber0(sK3(X0,X1))
| sP0(X0,X1)
| ~ aVector0(X1) )
| ~ spl5_88 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f4340,plain,
( spl5_228
| ~ spl5_41
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f754,f748,f440,f4338]) ).
fof(f4338,plain,
( spl5_228
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_228])]) ).
fof(f754,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl5_41
| ~ spl5_86 ),
inference(resolution,[],[f749,f441]) ).
fof(f4336,plain,
( spl5_227
| ~ spl5_41
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f733,f662,f440,f4334]) ).
fof(f4334,plain,
( spl5_227
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_227])]) ).
fof(f733,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aScalar0(X1) )
| ~ spl5_41
| ~ spl5_84 ),
inference(resolution,[],[f663,f441]) ).
fof(f4332,plain,
( spl5_226
| ~ spl5_48
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1095,f528,f473,f4329]) ).
fof(f4329,plain,
( spl5_226
<=> xD = smndt0(smndt0(xD)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_226])]) ).
fof(f1095,plain,
( xD = smndt0(smndt0(xD))
| ~ spl5_48
| ~ spl5_60 ),
inference(resolution,[],[f475,f529]) ).
fof(f4327,plain,
( spl5_225
| ~ spl5_39
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f618,f609,f432,f4325]) ).
fof(f4325,plain,
( spl5_225
<=> ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_225])]) ).
fof(f432,plain,
( spl5_39
<=> ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f618,plain,
( ! [X0] :
( sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(sK4(aDimensionOf0(X0)))
| ~ aVector0(X0) )
| ~ spl5_39
| ~ spl5_73 ),
inference(resolution,[],[f610,f433]) ).
fof(f433,plain,
( ! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_39 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f4323,plain,
( spl5_224
| ~ spl5_38
| ~ spl5_73 ),
inference(avatar_split_clause,[],[f617,f609,f428,f4321]) ).
fof(f4321,plain,
( spl5_224
<=> ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_224])]) ).
fof(f428,plain,
( spl5_38
<=> ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f617,plain,
( ! [X0] :
( sz00 = szszuzczcdt0(X0)
| szszuzczcdt0(X0) = szszuzczcdt0(sK4(szszuzczcdt0(X0)))
| ~ aNaturalNumber0(X0) )
| ~ spl5_38
| ~ spl5_73 ),
inference(resolution,[],[f610,f429]) ).
fof(f429,plain,
( ! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) )
| ~ spl5_38 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f4317,plain,
( ~ spl5_12
| ~ spl5_11
| ~ spl5_222
| ~ spl5_221
| spl5_223
| ~ spl5_33
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f865,f849,f402,f4314,f4300,f4307,f280,f285]) ).
fof(f4307,plain,
( spl5_222
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_222])]) ).
fof(f4314,plain,
( spl5_223
<=> sdtlseqdt0(sz0z00,xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_223])]) ).
fof(f865,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ spl5_33
| ~ spl5_90 ),
inference(superposition,[],[f850,f404]) ).
fof(f4310,plain,
( ~ spl5_10
| ~ spl5_6
| ~ spl5_114
| ~ spl5_116
| spl5_222
| ~ spl5_32
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f863,f849,f397,f4307,f1220,f1206,f255,f275]) ).
fof(f1206,plain,
( spl5_114
<=> sdtlseqdt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_114])]) ).
fof(f863,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ spl5_32
| ~ spl5_90 ),
inference(superposition,[],[f850,f399]) ).
fof(f4303,plain,
( ~ spl5_8
| ~ spl5_9
| ~ spl5_115
| ~ spl5_113
| spl5_221
| ~ spl5_31
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f862,f849,f392,f4300,f1199,f1213,f270,f265]) ).
fof(f1213,plain,
( spl5_115
<=> sdtlseqdt0(sz0z00,xF) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_115])]) ).
fof(f862,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD)
| ~ aScalar0(xF)
| ~ spl5_31
| ~ spl5_90 ),
inference(superposition,[],[f850,f394]) ).
fof(f4292,plain,
( ~ spl5_17
| ~ spl5_16
| ~ spl5_218
| ~ spl5_219
| spl5_220
| ~ spl5_27
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f861,f849,f372,f4289,f4285,f4281,f305,f310]) ).
fof(f4281,plain,
( spl5_218
<=> sdtlseqdt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_218])]) ).
fof(f4285,plain,
( spl5_219
<=> sdtlseqdt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_219])]) ).
fof(f4289,plain,
( spl5_220
<=> sdtlseqdt0(sz0z00,xH) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_220])]) ).
fof(f861,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ spl5_27
| ~ spl5_90 ),
inference(superposition,[],[f850,f374]) ).
fof(f4276,plain,
( ~ spl5_4
| spl5_217
| ~ spl5_24
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f769,f634,f357,f4274,f245]) ).
fof(f634,plain,
( spl5_77
<=> ! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
fof(f769,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aScalar0(sdtasasdt0(X0,xs))
| ~ aVector0(xs)
| ~ aVector0(X0) )
| ~ spl5_24
| ~ spl5_77 ),
inference(superposition,[],[f635,f359]) ).
fof(f635,plain,
( ! [X0,X1] :
( aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0) )
| ~ spl5_77 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f4269,plain,
( ~ spl5_4
| spl5_216
| ~ spl5_24
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f768,f634,f357,f4267,f245]) ).
fof(f768,plain,
( ! [X0] :
( aDimensionOf0(X0) != aDimensionOf0(xt)
| aScalar0(sdtasasdt0(xs,X0))
| ~ aVector0(X0)
| ~ aVector0(xs) )
| ~ spl5_24
| ~ spl5_77 ),
inference(superposition,[],[f635,f359]) ).
fof(f4259,plain,
( spl5_215
| ~ spl5_51
| ~ spl5_75 ),
inference(avatar_split_clause,[],[f630,f623,f487,f4257]) ).
fof(f4257,plain,
( spl5_215
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_215])]) ).
fof(f487,plain,
( spl5_51
<=> ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f623,plain,
( spl5_75
<=> ! [X0,X1,X3] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
fof(f630,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtlbdtrb0(X1,X0) = sdtlbdtrb0(sziznziztdt0(X1),X0)
| ~ sP1(X1) )
| ~ spl5_51
| ~ spl5_75 ),
inference(resolution,[],[f624,f488]) ).
fof(f488,plain,
( ! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) )
| ~ spl5_51 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f624,plain,
( ! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
| ~ spl5_75 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f4210,plain,
( spl5_214
| ~ spl5_101 ),
inference(avatar_split_clause,[],[f1011,f1008,f4208]) ).
fof(f4208,plain,
( spl5_214
<=> ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_214])]) ).
fof(f1008,plain,
( spl5_101
<=> ! [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_101])]) ).
fof(f1011,plain,
( ! [X0] :
( sP0(X0,X0)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X0))
| ~ aVector0(X0) )
| ~ spl5_101 ),
inference(equality_resolution,[],[f1009]) ).
fof(f1009,plain,
( ! [X0,X1] :
( sdtlbdtrb0(X1,sK3(X0,X1)) != sdtlbdtrb0(X0,sK3(X0,X1))
| sP0(X0,X1)
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) )
| ~ spl5_101 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f4206,plain,
( spl5_213
| ~ spl5_48
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1094,f524,f473,f4203]) ).
fof(f4203,plain,
( spl5_213
<=> sz0z00 = sdtasdt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_213])]) ).
fof(f4201,plain,
( spl5_212
| ~ spl5_19
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f808,f651,f320,f4199]) ).
fof(f4199,plain,
( spl5_212
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_212])]) ).
fof(f808,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_81 ),
inference(resolution,[],[f652,f322]) ).
fof(f4196,plain,
( spl5_211
| ~ spl5_19
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f790,f647,f320,f4194]) ).
fof(f4194,plain,
( spl5_211
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_211])]) ).
fof(f790,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz0z00)) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_80 ),
inference(resolution,[],[f648,f322]) ).
fof(f4191,plain,
( spl5_210
| ~ spl5_19
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f772,f638,f320,f4189]) ).
fof(f4189,plain,
( spl5_210
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_210])]) ).
fof(f772,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),smndt0(sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_78 ),
inference(resolution,[],[f639,f322]) ).
fof(f3998,plain,
( spl5_209
| ~ spl5_48
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1093,f520,f473,f3995]) ).
fof(f3995,plain,
( spl5_209
<=> sz0z00 = sdtasdt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_209])]) ).
fof(f3741,plain,
( spl5_208
| ~ spl5_48
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1092,f516,f473,f3738]) ).
fof(f3738,plain,
( spl5_208
<=> xD = sdtpldt0(sz0z00,xD) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_208])]) ).
fof(f1092,plain,
( xD = sdtpldt0(sz0z00,xD)
| ~ spl5_48
| ~ spl5_57 ),
inference(resolution,[],[f475,f517]) ).
fof(f3478,plain,
( spl5_207
| ~ spl5_48
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f1091,f512,f473,f3475]) ).
fof(f3475,plain,
( spl5_207
<=> xD = sdtpldt0(xD,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_207])]) ).
fof(f1091,plain,
( xD = sdtpldt0(xD,sz0z00)
| ~ spl5_48
| ~ spl5_56 ),
inference(resolution,[],[f475,f513]) ).
fof(f3233,plain,
( spl5_206
| ~ spl5_13
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f824,f651,f290,f3231]) ).
fof(f3231,plain,
( spl5_206
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_206])]) ).
fof(f824,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xN)) = sdtasdt0(smndt0(X0),xN)
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_81 ),
inference(resolution,[],[f652,f292]) ).
fof(f3229,plain,
( spl5_205
| ~ spl5_43
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1088,f528,f448,f3226]) ).
fof(f3226,plain,
( spl5_205
<=> xC = smndt0(smndt0(xC)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_205])]) ).
fof(f1088,plain,
( xC = smndt0(smndt0(xC))
| ~ spl5_43
| ~ spl5_60 ),
inference(resolution,[],[f450,f529]) ).
fof(f3224,plain,
( spl5_204
| ~ spl5_11
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f823,f651,f280,f3222]) ).
fof(f3222,plain,
( spl5_204
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_204])]) ).
fof(f823,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xS)) = sdtasdt0(smndt0(X0),xS)
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_81 ),
inference(resolution,[],[f652,f282]) ).
fof(f3220,plain,
( spl5_203
| ~ spl5_14
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f822,f651,f295,f3218]) ).
fof(f3218,plain,
( spl5_203
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_203])]) ).
fof(f822,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xP)) = sdtasdt0(smndt0(X0),xP)
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_81 ),
inference(resolution,[],[f652,f297]) ).
fof(f3216,plain,
( spl5_202
| ~ spl5_12
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f821,f651,f285,f3214]) ).
fof(f821,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xR)) = sdtasdt0(smndt0(X0),xR)
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_81 ),
inference(resolution,[],[f652,f287]) ).
fof(f3212,plain,
( spl5_201
| ~ spl5_7
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f820,f651,f260,f3210]) ).
fof(f820,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xH)) = sdtasdt0(smndt0(X0),xH)
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_81 ),
inference(resolution,[],[f652,f262]) ).
fof(f3208,plain,
( spl5_200
| ~ spl5_6
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f819,f651,f255,f3206]) ).
fof(f819,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xG)) = sdtasdt0(smndt0(X0),xG)
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_81 ),
inference(resolution,[],[f652,f257]) ).
fof(f3204,plain,
( spl5_199
| ~ spl5_8
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f818,f651,f265,f3202]) ).
fof(f818,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xF)) = sdtasdt0(smndt0(X0),xF)
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_81 ),
inference(resolution,[],[f652,f267]) ).
fof(f3200,plain,
( spl5_198
| ~ spl5_15
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f817,f651,f300,f3198]) ).
fof(f817,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xE)) = sdtasdt0(smndt0(X0),xE)
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_81 ),
inference(resolution,[],[f652,f302]) ).
fof(f3196,plain,
( spl5_197
| ~ spl5_9
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f816,f651,f270,f3194]) ).
fof(f816,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xD)) = sdtasdt0(smndt0(X0),xD)
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_81 ),
inference(resolution,[],[f652,f272]) ).
fof(f3192,plain,
( spl5_196
| ~ spl5_10
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f815,f651,f275,f3190]) ).
fof(f815,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xC)) = sdtasdt0(smndt0(X0),xC)
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_81 ),
inference(resolution,[],[f652,f277]) ).
fof(f3188,plain,
( spl5_195
| ~ spl5_16
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f814,f651,f305,f3186]) ).
fof(f814,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xB)) = sdtasdt0(smndt0(X0),xB)
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_81 ),
inference(resolution,[],[f652,f307]) ).
fof(f3184,plain,
( spl5_194
| ~ spl5_43
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1087,f524,f448,f3181]) ).
fof(f1087,plain,
( sz0z00 = sdtasdt0(sz0z00,xC)
| ~ spl5_43
| ~ spl5_59 ),
inference(resolution,[],[f450,f525]) ).
fof(f3179,plain,
( spl5_193
| ~ spl5_17
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f813,f651,f310,f3177]) ).
fof(f813,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xA)) = sdtasdt0(smndt0(X0),xA)
| ~ aScalar0(X0) )
| ~ spl5_17
| ~ spl5_81 ),
inference(resolution,[],[f652,f312]) ).
fof(f3175,plain,
( spl5_192
| ~ spl5_13
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f806,f647,f290,f3173]) ).
fof(f3173,plain,
( spl5_192
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_192])]) ).
fof(f806,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xN)) = smndt0(sdtasdt0(X0,xN))
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_80 ),
inference(resolution,[],[f648,f292]) ).
fof(f3171,plain,
( spl5_191
| ~ spl5_11
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f805,f647,f280,f3169]) ).
fof(f805,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xS)) = smndt0(sdtasdt0(X0,xS))
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_80 ),
inference(resolution,[],[f648,f282]) ).
fof(f3167,plain,
( spl5_190
| ~ spl5_14
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f804,f647,f295,f3165]) ).
fof(f3165,plain,
( spl5_190
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_190])]) ).
fof(f804,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xP)) = smndt0(sdtasdt0(X0,xP))
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_80 ),
inference(resolution,[],[f648,f297]) ).
fof(f3163,plain,
( spl5_189
| ~ spl5_12
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f803,f647,f285,f3161]) ).
fof(f803,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xR)) = smndt0(sdtasdt0(X0,xR))
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_80 ),
inference(resolution,[],[f648,f287]) ).
fof(f3159,plain,
( spl5_188
| ~ spl5_7
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f802,f647,f260,f3157]) ).
fof(f802,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xH)) = smndt0(sdtasdt0(X0,xH))
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_80 ),
inference(resolution,[],[f648,f262]) ).
fof(f3155,plain,
( spl5_187
| ~ spl5_6
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f801,f647,f255,f3153]) ).
fof(f801,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xG)) = smndt0(sdtasdt0(X0,xG))
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_80 ),
inference(resolution,[],[f648,f257]) ).
fof(f3151,plain,
( spl5_186
| ~ spl5_8
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f800,f647,f265,f3149]) ).
fof(f800,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xF)) = smndt0(sdtasdt0(X0,xF))
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_80 ),
inference(resolution,[],[f648,f267]) ).
fof(f3147,plain,
( spl5_185
| ~ spl5_15
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f799,f647,f300,f3145]) ).
fof(f799,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xE)) = smndt0(sdtasdt0(X0,xE))
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_80 ),
inference(resolution,[],[f648,f302]) ).
fof(f3143,plain,
( spl5_184
| ~ spl5_9
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f798,f647,f270,f3141]) ).
fof(f798,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xD)) = smndt0(sdtasdt0(X0,xD))
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_80 ),
inference(resolution,[],[f648,f272]) ).
fof(f3139,plain,
( spl5_183
| ~ spl5_43
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1086,f520,f448,f3136]) ).
fof(f3136,plain,
( spl5_183
<=> sz0z00 = sdtasdt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_183])]) ).
fof(f3134,plain,
( spl5_182
| ~ spl5_10
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f797,f647,f275,f3132]) ).
fof(f797,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xC)) = smndt0(sdtasdt0(X0,xC))
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_80 ),
inference(resolution,[],[f648,f277]) ).
fof(f3130,plain,
( spl5_181
| ~ spl5_16
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f796,f647,f305,f3128]) ).
fof(f796,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xB)) = smndt0(sdtasdt0(X0,xB))
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_80 ),
inference(resolution,[],[f648,f307]) ).
fof(f3126,plain,
( spl5_180
| ~ spl5_17
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f795,f647,f310,f3124]) ).
fof(f795,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xA)) = smndt0(sdtasdt0(X0,xA))
| ~ aScalar0(X0) )
| ~ spl5_17
| ~ spl5_80 ),
inference(resolution,[],[f648,f312]) ).
fof(f3122,plain,
( spl5_179
| ~ spl5_13
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f788,f638,f290,f3120]) ).
fof(f788,plain,
( ! [X0] :
( sdtasdt0(X0,xN) = sdtasdt0(smndt0(X0),smndt0(xN))
| ~ aScalar0(X0) )
| ~ spl5_13
| ~ spl5_78 ),
inference(resolution,[],[f639,f292]) ).
fof(f3118,plain,
( spl5_178
| ~ spl5_11
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f787,f638,f280,f3116]) ).
fof(f787,plain,
( ! [X0] :
( sdtasdt0(X0,xS) = sdtasdt0(smndt0(X0),smndt0(xS))
| ~ aScalar0(X0) )
| ~ spl5_11
| ~ spl5_78 ),
inference(resolution,[],[f639,f282]) ).
fof(f3114,plain,
( spl5_177
| ~ spl5_14
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f786,f638,f295,f3112]) ).
fof(f786,plain,
( ! [X0] :
( sdtasdt0(X0,xP) = sdtasdt0(smndt0(X0),smndt0(xP))
| ~ aScalar0(X0) )
| ~ spl5_14
| ~ spl5_78 ),
inference(resolution,[],[f639,f297]) ).
fof(f3110,plain,
( spl5_176
| ~ spl5_12
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f785,f638,f285,f3108]) ).
fof(f785,plain,
( ! [X0] :
( sdtasdt0(X0,xR) = sdtasdt0(smndt0(X0),smndt0(xR))
| ~ aScalar0(X0) )
| ~ spl5_12
| ~ spl5_78 ),
inference(resolution,[],[f639,f287]) ).
fof(f3106,plain,
( spl5_175
| ~ spl5_7
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f784,f638,f260,f3104]) ).
fof(f784,plain,
( ! [X0] :
( sdtasdt0(X0,xH) = sdtasdt0(smndt0(X0),smndt0(xH))
| ~ aScalar0(X0) )
| ~ spl5_7
| ~ spl5_78 ),
inference(resolution,[],[f639,f262]) ).
fof(f3102,plain,
( spl5_174
| ~ spl5_6
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f783,f638,f255,f3100]) ).
fof(f783,plain,
( ! [X0] :
( sdtasdt0(X0,xG) = sdtasdt0(smndt0(X0),smndt0(xG))
| ~ aScalar0(X0) )
| ~ spl5_6
| ~ spl5_78 ),
inference(resolution,[],[f639,f257]) ).
fof(f3098,plain,
( spl5_173
| ~ spl5_8
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f782,f638,f265,f3096]) ).
fof(f782,plain,
( ! [X0] :
( sdtasdt0(X0,xF) = sdtasdt0(smndt0(X0),smndt0(xF))
| ~ aScalar0(X0) )
| ~ spl5_8
| ~ spl5_78 ),
inference(resolution,[],[f639,f267]) ).
fof(f3094,plain,
( spl5_172
| ~ spl5_43
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1085,f516,f448,f3091]) ).
fof(f3091,plain,
( spl5_172
<=> xC = sdtpldt0(sz0z00,xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_172])]) ).
fof(f1085,plain,
( xC = sdtpldt0(sz0z00,xC)
| ~ spl5_43
| ~ spl5_57 ),
inference(resolution,[],[f450,f517]) ).
fof(f3089,plain,
( spl5_171
| ~ spl5_15
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f781,f638,f300,f3087]) ).
fof(f781,plain,
( ! [X0] :
( sdtasdt0(X0,xE) = sdtasdt0(smndt0(X0),smndt0(xE))
| ~ aScalar0(X0) )
| ~ spl5_15
| ~ spl5_78 ),
inference(resolution,[],[f639,f302]) ).
fof(f3085,plain,
( spl5_170
| ~ spl5_9
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f780,f638,f270,f3083]) ).
fof(f780,plain,
( ! [X0] :
( sdtasdt0(X0,xD) = sdtasdt0(smndt0(X0),smndt0(xD))
| ~ aScalar0(X0) )
| ~ spl5_9
| ~ spl5_78 ),
inference(resolution,[],[f639,f272]) ).
fof(f3081,plain,
( spl5_169
| ~ spl5_10
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f779,f638,f275,f3079]) ).
fof(f779,plain,
( ! [X0] :
( sdtasdt0(X0,xC) = sdtasdt0(smndt0(X0),smndt0(xC))
| ~ aScalar0(X0) )
| ~ spl5_10
| ~ spl5_78 ),
inference(resolution,[],[f639,f277]) ).
fof(f3077,plain,
( spl5_168
| ~ spl5_16
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f778,f638,f305,f3075]) ).
fof(f778,plain,
( ! [X0] :
( sdtasdt0(X0,xB) = sdtasdt0(smndt0(X0),smndt0(xB))
| ~ aScalar0(X0) )
| ~ spl5_16
| ~ spl5_78 ),
inference(resolution,[],[f639,f307]) ).
fof(f3073,plain,
( spl5_167
| ~ spl5_17
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f777,f638,f310,f3071]) ).
fof(f777,plain,
( ! [X0] :
( sdtasdt0(X0,xA) = sdtasdt0(smndt0(X0),smndt0(xA))
| ~ aScalar0(X0) )
| ~ spl5_17
| ~ spl5_78 ),
inference(resolution,[],[f639,f312]) ).
fof(f3008,plain,
( spl5_166
| ~ spl5_19
| ~ spl5_50
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f807,f647,f481,f320,f3006]) ).
fof(f3006,plain,
( spl5_166
<=> ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_166])]) ).
fof(f807,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = smndt0(sdtasdt0(X0,sz0z00))
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_50
| ~ spl5_80 ),
inference(forward_demodulation,[],[f790,f483]) ).
fof(f2944,plain,
( spl5_165
| ~ spl5_43
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f1084,f512,f448,f2941]) ).
fof(f2941,plain,
( spl5_165
<=> xC = sdtpldt0(xC,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_165])]) ).
fof(f1084,plain,
( xC = sdtpldt0(xC,sz0z00)
| ~ spl5_43
| ~ spl5_56 ),
inference(resolution,[],[f450,f513]) ).
fof(f2741,plain,
( spl5_164
| ~ spl5_37
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f1044,f528,f423,f2738]) ).
fof(f2738,plain,
( spl5_164
<=> xB = smndt0(smndt0(xB)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_164])]) ).
fof(f1044,plain,
( xB = smndt0(smndt0(xB))
| ~ spl5_37
| ~ spl5_60 ),
inference(resolution,[],[f425,f529]) ).
fof(f2544,plain,
( spl5_163
| ~ spl5_37
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f1043,f524,f423,f2541]) ).
fof(f1043,plain,
( sz0z00 = sdtasdt0(sz0z00,xB)
| ~ spl5_37
| ~ spl5_59 ),
inference(resolution,[],[f425,f525]) ).
fof(f2391,plain,
( spl5_162
| ~ spl5_37
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f1042,f520,f423,f2388]) ).
fof(f1042,plain,
( sz0z00 = sdtasdt0(xB,sz0z00)
| ~ spl5_37
| ~ spl5_58 ),
inference(resolution,[],[f425,f521]) ).
fof(f2249,plain,
( spl5_161
| ~ spl5_37
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f1041,f516,f423,f2246]) ).
fof(f2246,plain,
( spl5_161
<=> xB = sdtpldt0(sz0z00,xB) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_161])]) ).
fof(f1041,plain,
( xB = sdtpldt0(sz0z00,xB)
| ~ spl5_37
| ~ spl5_57 ),
inference(resolution,[],[f425,f517]) ).
fof(f2039,plain,
( ~ spl5_49
| ~ spl5_106 ),
inference(avatar_contradiction_clause,[],[f2010]) ).
fof(f2010,plain,
( $false
| ~ spl5_49
| ~ spl5_106 ),
inference(resolution,[],[f479,f1157]) ).
fof(f479,plain,
( ! [X0] : ~ sP2(X0)
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl5_49
<=> ! [X0] : ~ sP2(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f2038,plain,
( ~ spl5_34
| ~ spl5_49 ),
inference(avatar_contradiction_clause,[],[f2015]) ).
fof(f2015,plain,
( $false
| ~ spl5_34
| ~ spl5_49 ),
inference(resolution,[],[f479,f409]) ).
fof(f2037,plain,
( ~ spl5_37
| ~ spl5_49 ),
inference(avatar_contradiction_clause,[],[f2016]) ).
fof(f2016,plain,
( $false
| ~ spl5_37
| ~ spl5_49 ),
inference(resolution,[],[f479,f425]) ).
fof(f2036,plain,
( ~ spl5_43
| ~ spl5_49 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2017,plain,
( $false
| ~ spl5_43
| ~ spl5_49 ),
inference(resolution,[],[f479,f450]) ).
fof(f2035,plain,
( ~ spl5_48
| ~ spl5_49 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2018,plain,
( $false
| ~ spl5_48
| ~ spl5_49 ),
inference(resolution,[],[f479,f475]) ).
fof(f2034,plain,
( ~ spl5_49
| ~ spl5_55 ),
inference(avatar_contradiction_clause,[],[f2019]) ).
fof(f2019,plain,
( $false
| ~ spl5_49
| ~ spl5_55 ),
inference(resolution,[],[f479,f509]) ).
fof(f2033,plain,
( ~ spl5_49
| ~ spl5_61 ),
inference(avatar_contradiction_clause,[],[f2020]) ).
fof(f2020,plain,
( $false
| ~ spl5_49
| ~ spl5_61 ),
inference(resolution,[],[f479,f538]) ).
fof(f2032,plain,
( ~ spl5_49
| ~ spl5_69 ),
inference(avatar_contradiction_clause,[],[f2021]) ).
fof(f2021,plain,
( $false
| ~ spl5_49
| ~ spl5_69 ),
inference(resolution,[],[f479,f576]) ).
fof(f2031,plain,
( ~ spl5_49
| ~ spl5_72 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2022,plain,
( $false
| ~ spl5_49
| ~ spl5_72 ),
inference(resolution,[],[f479,f606]) ).
fof(f2030,plain,
( ~ spl5_49
| ~ spl5_79 ),
inference(avatar_contradiction_clause,[],[f2023]) ).
fof(f2023,plain,
( $false
| ~ spl5_49
| ~ spl5_79 ),
inference(resolution,[],[f479,f644]) ).
fof(f2029,plain,
( ~ spl5_49
| ~ spl5_85 ),
inference(avatar_contradiction_clause,[],[f2024]) ).
fof(f2024,plain,
( $false
| ~ spl5_49
| ~ spl5_85 ),
inference(resolution,[],[f479,f715]) ).
fof(f2028,plain,
( ~ spl5_49
| ~ spl5_87 ),
inference(avatar_contradiction_clause,[],[f2025]) ).
fof(f2025,plain,
( $false
| ~ spl5_49
| ~ spl5_87 ),
inference(resolution,[],[f479,f828]) ).
fof(f2027,plain,
( ~ spl5_49
| ~ spl5_93 ),
inference(avatar_contradiction_clause,[],[f2026]) ).
fof(f2026,plain,
( $false
| ~ spl5_49
| ~ spl5_93 ),
inference(resolution,[],[f479,f887]) ).
fof(f2009,plain,
( spl5_160
| ~ spl5_19
| ~ spl5_50
| ~ spl5_78 ),
inference(avatar_split_clause,[],[f789,f638,f481,f320,f2007]) ).
fof(f789,plain,
( ! [X0] :
( sdtasdt0(X0,sz0z00) = sdtasdt0(smndt0(X0),sz0z00)
| ~ aScalar0(X0) )
| ~ spl5_19
| ~ spl5_50
| ~ spl5_78 ),
inference(forward_demodulation,[],[f772,f483]) ).
fof(f1938,plain,
( spl5_159
| ~ spl5_19
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f751,f748,f320,f1936]) ).
fof(f1936,plain,
( spl5_159
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_159])]) ).
fof(f751,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sz0z00) = sdtasdt0(sz0z00,X0) )
| ~ spl5_19
| ~ spl5_86 ),
inference(resolution,[],[f749,f322]) ).
fof(f1934,plain,
( spl5_158
| ~ spl5_19
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f730,f662,f320,f1932]) ).
fof(f1932,plain,
( spl5_158
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_158])]) ).
fof(f730,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = sdtpldt0(sz0z00,X0) )
| ~ spl5_19
| ~ spl5_84 ),
inference(resolution,[],[f663,f322]) ).
fof(f1930,plain,
( spl5_157
| ~ spl5_51
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f602,f597,f487,f1928]) ).
fof(f602,plain,
( ! [X0] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0)))
| ~ sP1(X0) )
| ~ spl5_51
| ~ spl5_71 ),
inference(resolution,[],[f598,f488]) ).
fof(f1868,plain,
( spl5_156
| ~ spl5_37
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f1040,f512,f423,f1865]) ).
fof(f1865,plain,
( spl5_156
<=> xB = sdtpldt0(xB,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_156])]) ).
fof(f1040,plain,
( xB = sdtpldt0(xB,sz0z00)
| ~ spl5_37
| ~ spl5_56 ),
inference(resolution,[],[f425,f513]) ).
fof(f1664,plain,
( spl5_155
| ~ spl5_34
| ~ spl5_60 ),
inference(avatar_split_clause,[],[f982,f528,f407,f1661]) ).
fof(f1661,plain,
( spl5_155
<=> xA = smndt0(smndt0(xA)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_155])]) ).
fof(f982,plain,
( xA = smndt0(smndt0(xA))
| ~ spl5_34
| ~ spl5_60 ),
inference(resolution,[],[f409,f529]) ).
fof(f1469,plain,
( spl5_154
| ~ spl5_34
| ~ spl5_59 ),
inference(avatar_split_clause,[],[f981,f524,f407,f1466]) ).
fof(f981,plain,
( sz0z00 = sdtasdt0(sz0z00,xA)
| ~ spl5_34
| ~ spl5_59 ),
inference(resolution,[],[f409,f525]) ).
fof(f1445,plain,
( spl5_153
| ~ spl5_13
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f767,f748,f290,f1443]) ).
fof(f1443,plain,
( spl5_153
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(xN,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_153])]) ).
fof(f767,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xN) = sdtasdt0(xN,X0) )
| ~ spl5_13
| ~ spl5_86 ),
inference(resolution,[],[f749,f292]) ).
fof(f1441,plain,
( spl5_152
| ~ spl5_11
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f766,f748,f280,f1439]) ).
fof(f766,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xS) = sdtasdt0(xS,X0) )
| ~ spl5_11
| ~ spl5_86 ),
inference(resolution,[],[f749,f282]) ).
fof(f1437,plain,
( spl5_151
| ~ spl5_14
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f765,f748,f295,f1435]) ).
fof(f765,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) )
| ~ spl5_14
| ~ spl5_86 ),
inference(resolution,[],[f749,f297]) ).
fof(f1433,plain,
( spl5_150
| ~ spl5_12
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f764,f748,f285,f1431]) ).
fof(f764,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl5_12
| ~ spl5_86 ),
inference(resolution,[],[f749,f287]) ).
fof(f1429,plain,
( spl5_149
| ~ spl5_7
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f763,f748,f260,f1427]) ).
fof(f763,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xH) = sdtasdt0(xH,X0) )
| ~ spl5_7
| ~ spl5_86 ),
inference(resolution,[],[f749,f262]) ).
fof(f1425,plain,
( spl5_148
| ~ spl5_6
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f762,f748,f255,f1423]) ).
fof(f762,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xG) = sdtasdt0(xG,X0) )
| ~ spl5_6
| ~ spl5_86 ),
inference(resolution,[],[f749,f257]) ).
fof(f1421,plain,
( spl5_147
| ~ spl5_8
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f761,f748,f265,f1419]) ).
fof(f761,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xF) = sdtasdt0(xF,X0) )
| ~ spl5_8
| ~ spl5_86 ),
inference(resolution,[],[f749,f267]) ).
fof(f1417,plain,
( spl5_146
| ~ spl5_15
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f760,f748,f300,f1415]) ).
fof(f760,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xE) = sdtasdt0(xE,X0) )
| ~ spl5_15
| ~ spl5_86 ),
inference(resolution,[],[f749,f302]) ).
fof(f1413,plain,
( spl5_145
| ~ spl5_9
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f759,f748,f270,f1411]) ).
fof(f759,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xD) = sdtasdt0(xD,X0) )
| ~ spl5_9
| ~ spl5_86 ),
inference(resolution,[],[f749,f272]) ).
fof(f1409,plain,
( spl5_144
| ~ spl5_34
| ~ spl5_58 ),
inference(avatar_split_clause,[],[f980,f520,f407,f1406]) ).
fof(f980,plain,
( sz0z00 = sdtasdt0(xA,sz0z00)
| ~ spl5_34
| ~ spl5_58 ),
inference(resolution,[],[f409,f521]) ).
fof(f1404,plain,
( spl5_143
| ~ spl5_10
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f758,f748,f275,f1402]) ).
fof(f758,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xC) = sdtasdt0(xC,X0) )
| ~ spl5_10
| ~ spl5_86 ),
inference(resolution,[],[f749,f277]) ).
fof(f1400,plain,
( spl5_142
| ~ spl5_16
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f757,f748,f305,f1398]) ).
fof(f757,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xB) = sdtasdt0(xB,X0) )
| ~ spl5_16
| ~ spl5_86 ),
inference(resolution,[],[f749,f307]) ).
fof(f1396,plain,
( spl5_141
| ~ spl5_17
| ~ spl5_86 ),
inference(avatar_split_clause,[],[f756,f748,f310,f1394]) ).
fof(f756,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xA) = sdtasdt0(xA,X0) )
| ~ spl5_17
| ~ spl5_86 ),
inference(resolution,[],[f749,f312]) ).
fof(f1392,plain,
( spl5_140
| ~ spl5_13
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f746,f662,f290,f1390]) ).
fof(f1390,plain,
( spl5_140
<=> ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xN) = sdtpldt0(xN,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_140])]) ).
fof(f746,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xN) = sdtpldt0(xN,X0) )
| ~ spl5_13
| ~ spl5_84 ),
inference(resolution,[],[f663,f292]) ).
fof(f1388,plain,
( spl5_139
| ~ spl5_11
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f745,f662,f280,f1386]) ).
fof(f745,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xS) = sdtpldt0(xS,X0) )
| ~ spl5_11
| ~ spl5_84 ),
inference(resolution,[],[f663,f282]) ).
fof(f1384,plain,
( spl5_138
| ~ spl5_14
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f744,f662,f295,f1382]) ).
fof(f744,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xP) = sdtpldt0(xP,X0) )
| ~ spl5_14
| ~ spl5_84 ),
inference(resolution,[],[f663,f297]) ).
fof(f1380,plain,
( spl5_137
| ~ spl5_12
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f743,f662,f285,f1378]) ).
fof(f743,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xR) = sdtpldt0(xR,X0) )
| ~ spl5_12
| ~ spl5_84 ),
inference(resolution,[],[f663,f287]) ).
fof(f1376,plain,
( spl5_136
| ~ spl5_7
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f742,f662,f260,f1374]) ).
fof(f742,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xH) = sdtpldt0(xH,X0) )
| ~ spl5_7
| ~ spl5_84 ),
inference(resolution,[],[f663,f262]) ).
fof(f1372,plain,
( spl5_135
| ~ spl5_6
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f741,f662,f255,f1370]) ).
fof(f741,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xG) = sdtpldt0(xG,X0) )
| ~ spl5_6
| ~ spl5_84 ),
inference(resolution,[],[f663,f257]) ).
fof(f1368,plain,
( spl5_134
| ~ spl5_8
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f740,f662,f265,f1366]) ).
fof(f740,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xF) = sdtpldt0(xF,X0) )
| ~ spl5_8
| ~ spl5_84 ),
inference(resolution,[],[f663,f267]) ).
fof(f1364,plain,
( spl5_133
| ~ spl5_34
| ~ spl5_57 ),
inference(avatar_split_clause,[],[f979,f516,f407,f1361]) ).
fof(f1361,plain,
( spl5_133
<=> xA = sdtpldt0(sz0z00,xA) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_133])]) ).
fof(f979,plain,
( xA = sdtpldt0(sz0z00,xA)
| ~ spl5_34
| ~ spl5_57 ),
inference(resolution,[],[f409,f517]) ).
fof(f1359,plain,
( spl5_132
| ~ spl5_15
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f739,f662,f300,f1357]) ).
fof(f739,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xE) = sdtpldt0(xE,X0) )
| ~ spl5_15
| ~ spl5_84 ),
inference(resolution,[],[f663,f302]) ).
fof(f1355,plain,
( spl5_131
| ~ spl5_9
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f738,f662,f270,f1353]) ).
fof(f738,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xD) = sdtpldt0(xD,X0) )
| ~ spl5_9
| ~ spl5_84 ),
inference(resolution,[],[f663,f272]) ).
fof(f1351,plain,
( spl5_130
| ~ spl5_10
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f737,f662,f275,f1349]) ).
fof(f737,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xC) = sdtpldt0(xC,X0) )
| ~ spl5_10
| ~ spl5_84 ),
inference(resolution,[],[f663,f277]) ).
fof(f1347,plain,
( spl5_129
| ~ spl5_16
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f736,f662,f305,f1345]) ).
fof(f736,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xB) = sdtpldt0(xB,X0) )
| ~ spl5_16
| ~ spl5_84 ),
inference(resolution,[],[f663,f307]) ).
fof(f1343,plain,
( spl5_128
| ~ spl5_17
| ~ spl5_84 ),
inference(avatar_split_clause,[],[f735,f662,f310,f1341]) ).
fof(f735,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xA) = sdtpldt0(xA,X0) )
| ~ spl5_17
| ~ spl5_84 ),
inference(resolution,[],[f663,f312]) ).
fof(f1307,plain,
( spl5_127
| ~ spl5_23
| ~ spl5_68 ),
inference(avatar_split_clause,[],[f582,f565,f340,f1305]) ).
fof(f1305,plain,
( spl5_127
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_127])]) ).
fof(f582,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtasdt0(X1,X0)) )
| ~ spl5_23
| ~ spl5_68 ),
inference(resolution,[],[f566,f341]) ).
fof(f1303,plain,
( spl5_126
| ~ spl5_23
| ~ spl5_67 ),
inference(avatar_split_clause,[],[f581,f561,f340,f1301]) ).
fof(f1301,plain,
( spl5_126
<=> ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_126])]) ).
fof(f581,plain,
( ! [X0,X1] :
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sP2(sdtpldt0(X1,X0)) )
| ~ spl5_23
| ~ spl5_67 ),
inference(resolution,[],[f562,f341]) ).
fof(f1299,plain,
( spl5_125
| ~ spl5_34
| ~ spl5_56 ),
inference(avatar_split_clause,[],[f978,f512,f407,f1296]) ).
fof(f1296,plain,
( spl5_125
<=> xA = sdtpldt0(xA,sz0z00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_125])]) ).
fof(f978,plain,
( xA = sdtpldt0(xA,sz0z00)
| ~ spl5_34
| ~ spl5_56 ),
inference(resolution,[],[f409,f513]) ).
fof(f1294,plain,
( spl5_124
| ~ spl5_23
| ~ spl5_66 ),
inference(avatar_split_clause,[],[f578,f557,f340,f1292]) ).
fof(f1292,plain,
( spl5_124
<=> ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_124])]) ).
fof(f578,plain,
( ! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| sP2(sdtlbdtrb0(X1,X0)) )
| ~ spl5_23
| ~ spl5_66 ),
inference(resolution,[],[f558,f341]) ).
fof(f1277,plain,
( spl5_123
| ~ spl5_77 ),
inference(avatar_split_clause,[],[f771,f634,f1275]) ).
fof(f771,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) )
| ~ spl5_77 ),
inference(duplicate_literal_removal,[],[f770]) ).
fof(f770,plain,
( ! [X0] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0)
| ~ aVector0(X0) )
| ~ spl5_77 ),
inference(equality_resolution,[],[f635]) ).
fof(f1268,plain,
( spl5_111
| spl5_107
| ~ spl5_4
| ~ spl5_24
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f572,f541,f357,f245,f1170,f1190]) ).
fof(f1190,plain,
( spl5_111
<=> sP1(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_111])]) ).
fof(f541,plain,
( spl5_62
<=> ! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
fof(f572,plain,
( sz00 = aDimensionOf0(xt)
| sP1(xs)
| ~ spl5_4
| ~ spl5_24
| ~ spl5_62 ),
inference(forward_demodulation,[],[f568,f359]) ).
fof(f568,plain,
( sz00 = aDimensionOf0(xs)
| sP1(xs)
| ~ spl5_4
| ~ spl5_62 ),
inference(resolution,[],[f542,f247]) ).
fof(f247,plain,
( aVector0(xs)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f542,plain,
( ! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sP1(X0) )
| ~ spl5_62 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f1267,plain,
( spl5_121
| spl5_122
| ~ spl5_2
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f571,f541,f235,f1264,f1260]) ).
fof(f1264,plain,
( spl5_122
<=> sz00 = aDimensionOf0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_122])]) ).
fof(f235,plain,
( spl5_2
<=> aVector0(xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f571,plain,
( sz00 = aDimensionOf0(xq)
| sP1(xq)
| ~ spl5_2
| ~ spl5_62 ),
inference(resolution,[],[f542,f237]) ).
fof(f237,plain,
( aVector0(xq)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f1258,plain,
( spl5_119
| spl5_120
| ~ spl5_3
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f570,f541,f240,f1255,f1251]) ).
fof(f1255,plain,
( spl5_120
<=> sz00 = aDimensionOf0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_120])]) ).
fof(f240,plain,
( spl5_3
<=> aVector0(xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f570,plain,
( sz00 = aDimensionOf0(xp)
| sP1(xp)
| ~ spl5_3
| ~ spl5_62 ),
inference(resolution,[],[f542,f242]) ).
fof(f242,plain,
( aVector0(xp)
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f1245,plain,
( spl5_109
| spl5_107
| ~ spl5_5
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f569,f541,f250,f1170,f1181]) ).
fof(f1181,plain,
( spl5_109
<=> sP1(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_109])]) ).
fof(f569,plain,
( sz00 = aDimensionOf0(xt)
| sP1(xt)
| ~ spl5_5
| ~ spl5_62 ),
inference(resolution,[],[f542,f252]) ).
fof(f252,plain,
( aVector0(xt)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f1233,plain,
( spl5_118
| ~ spl5_40
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f490,f487,f436,f1231]) ).
fof(f1231,plain,
( spl5_118
<=> ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_118])]) ).
fof(f436,plain,
( spl5_40
<=> ! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f490,plain,
( ! [X0] :
( ~ sP1(X0)
| aVector0(sziznziztdt0(X0)) )
| ~ spl5_40
| ~ spl5_51 ),
inference(resolution,[],[f488,f437]) ).
fof(f437,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| aVector0(X1) )
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f1229,plain,
( spl5_117
| ~ spl5_23
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f453,f440,f340,f1227]) ).
fof(f1227,plain,
( spl5_117
<=> ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_117])]) ).
fof(f453,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sP2(smndt0(X0)) )
| ~ spl5_23
| ~ spl5_41 ),
inference(resolution,[],[f441,f341]) ).
fof(f1223,plain,
( ~ spl5_16
| spl5_116
| ~ spl5_26
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f534,f503,f367,f1220,f305]) ).
fof(f534,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB)
| ~ spl5_26
| ~ spl5_54 ),
inference(superposition,[],[f504,f369]) ).
fof(f1216,plain,
( ~ spl5_17
| spl5_115
| ~ spl5_28
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f533,f503,f377,f1213,f310]) ).
fof(f533,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA)
| ~ spl5_28
| ~ spl5_54 ),
inference(superposition,[],[f504,f379]) ).
fof(f1209,plain,
( ~ spl5_3
| spl5_114
| ~ spl5_30
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f532,f499,f387,f1206,f240]) ).
fof(f387,plain,
( spl5_30
<=> xC = sdtasasdt0(xp,xp) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f532,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp)
| ~ spl5_30
| ~ spl5_53 ),
inference(superposition,[],[f500,f389]) ).
fof(f389,plain,
( xC = sdtasasdt0(xp,xp)
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f1202,plain,
( ~ spl5_2
| spl5_113
| ~ spl5_29
| ~ spl5_53 ),
inference(avatar_split_clause,[],[f531,f499,f382,f1199,f235]) ).
fof(f382,plain,
( spl5_29
<=> xD = sdtasasdt0(xq,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f531,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq)
| ~ spl5_29
| ~ spl5_53 ),
inference(superposition,[],[f500,f384]) ).
fof(f384,plain,
( xD = sdtasasdt0(xq,xq)
| ~ spl5_29 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f1197,plain,
( ~ spl5_111
| spl5_112
| ~ spl5_22
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f492,f487,f335,f1194,f1190]) ).
fof(f492,plain,
( sP0(xs,xp)
| ~ sP1(xs)
| ~ spl5_22
| ~ spl5_51 ),
inference(superposition,[],[f488,f337]) ).
fof(f1188,plain,
( ~ spl5_109
| spl5_110
| ~ spl5_21
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f491,f487,f330,f1185,f1181]) ).
fof(f330,plain,
( spl5_21
<=> xq = sziznziztdt0(xt) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f491,plain,
( sP0(xt,xq)
| ~ sP1(xt)
| ~ spl5_21
| ~ spl5_51 ),
inference(superposition,[],[f488,f332]) ).
fof(f332,plain,
( xq = sziznziztdt0(xt)
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f1178,plain,
( ~ spl5_4
| spl5_108
| ~ spl5_24
| ~ spl5_39 ),
inference(avatar_split_clause,[],[f452,f432,f357,f1175,f245]) ).
fof(f1175,plain,
( spl5_108
<=> aNaturalNumber0(aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_108])]) ).
fof(f452,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ aVector0(xs)
| ~ spl5_24
| ~ spl5_39 ),
inference(superposition,[],[f433,f359]) ).
fof(f1173,plain,
( ~ spl5_107
| spl5_20
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f421,f357,f325,f1170]) ).
fof(f325,plain,
( spl5_20
<=> sz00 = aDimensionOf0(xs) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f421,plain,
( sz00 != aDimensionOf0(xt)
| spl5_20
| ~ spl5_24 ),
inference(superposition,[],[f327,f359]) ).
fof(f327,plain,
( sz00 != aDimensionOf0(xs)
| spl5_20 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f1158,plain,
( spl5_106
| ~ spl5_19
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f343,f340,f320,f1155]) ).
fof(f343,plain,
( sP2(sz0z00)
| ~ spl5_19
| ~ spl5_23 ),
inference(resolution,[],[f341,f322]) ).
fof(f1075,plain,
spl5_105,
inference(avatar_split_clause,[],[f203,f1073]) ).
fof(f203,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,[],[f89]) ).
fof(f89,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,[],[f88]) ).
fof(f88,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/benchmark/theBenchmark.p',mDefSPN) ).
fof(f1054,plain,
spl5_104,
inference(avatar_split_clause,[],[f222,f1052]) ).
fof(f222,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,[],[f115]) ).
fof(f115,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,[],[f114]) ).
fof(f114,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/benchmark/theBenchmark.p',mDistr2) ).
fof(f1039,plain,
spl5_103,
inference(avatar_split_clause,[],[f227,f1037]) ).
fof(f227,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,[],[f169,f136]) ).
fof(f136,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).
fof(f169,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,[],[f67]) ).
fof(f67,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,[],[f66]) ).
fof(f66,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/benchmark/theBenchmark.p',m__1652) ).
fof(f1015,plain,
spl5_102,
inference(avatar_split_clause,[],[f224,f1013]) ).
fof(f224,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,[],[f119]) ).
fof(f119,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,[],[f118]) ).
fof(f118,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/benchmark/theBenchmark.p',mLEMonM) ).
fof(f1010,plain,
spl5_101,
inference(avatar_split_clause,[],[f183,f1008]) ).
fof(f183,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,[],[f130]) ).
fof(f130,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])],[f128,f129]) ).
fof(f129,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(f128,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,[],[f127]) ).
fof(f127,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,[],[f126]) ).
fof(f126,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,[],[f120]) ).
fof(f120,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(f1004,plain,
spl5_100,
inference(avatar_split_clause,[],[f223,f1002]) ).
fof(f223,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,[],[f117]) ).
fof(f117,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,[],[f116]) ).
fof(f116,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/benchmark/theBenchmark.p',mLEMon) ).
fof(f988,plain,
spl5_99,
inference(avatar_split_clause,[],[f212,f986]) ).
fof(f986,plain,
( spl5_99
<=> ! [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_99])]) ).
fof(f212,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,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/benchmark/theBenchmark.p',mSqrt) ).
fof(f977,plain,
spl5_98,
inference(avatar_split_clause,[],[f202,f975]) ).
fof(f202,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1))
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,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/benchmark/theBenchmark.p',mEqInit) ).
fof(f939,plain,
spl5_97,
inference(avatar_split_clause,[],[f220,f937]) ).
fof(f220,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,[],[f111]) ).
fof(f111,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,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f935,plain,
spl5_96,
inference(avatar_split_clause,[],[f219,f933]) ).
fof(f219,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,[],[f111]) ).
fof(f896,plain,
spl5_95,
inference(avatar_split_clause,[],[f228,f894]) ).
fof(f894,plain,
( spl5_95
<=> ! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f228,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| sz00 != aDimensionOf0(X0)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(inner_rewriting,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( sz0z00 = sdtasasdt0(X0,X1)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,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/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f892,plain,
spl5_94,
inference(avatar_split_clause,[],[f217,f890]) ).
fof(f217,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,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,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f888,plain,
( spl5_93
| ~ spl5_13
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f355,f340,f290,f885]) ).
fof(f355,plain,
( sP2(xN)
| ~ spl5_13
| ~ spl5_23 ),
inference(resolution,[],[f341,f292]) ).
fof(f883,plain,
spl5_92,
inference(avatar_split_clause,[],[f215,f881]) ).
fof(f215,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f855,plain,
spl5_91,
inference(avatar_split_clause,[],[f221,f853]) ).
fof(f221,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,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/benchmark/theBenchmark.p',mLETrn) ).
fof(f851,plain,
spl5_90,
inference(avatar_split_clause,[],[f214,f849]) ).
fof(f214,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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,[],[f106]) ).
fof(f106,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/benchmark/theBenchmark.p',mPosMon) ).
fof(f847,plain,
spl5_89,
inference(avatar_split_clause,[],[f213,f845]) ).
fof(f213,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f843,plain,
spl5_88,
inference(avatar_split_clause,[],[f182,f841]) ).
fof(f182,plain,
! [X0,X1] :
( sP0(X0,X1)
| aNaturalNumber0(sK3(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f829,plain,
( spl5_87
| ~ spl5_11
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f354,f340,f280,f826]) ).
fof(f354,plain,
( sP2(xS)
| ~ spl5_11
| ~ spl5_23 ),
inference(resolution,[],[f341,f282]) ).
fof(f750,plain,
( spl5_83
| spl5_86 ),
inference(avatar_split_clause,[],[f218,f748,f659]) ).
fof(f659,plain,
( spl5_83
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f218,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f716,plain,
( spl5_85
| ~ spl5_14
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f353,f340,f295,f713]) ).
fof(f353,plain,
( sP2(xP)
| ~ spl5_14
| ~ spl5_23 ),
inference(resolution,[],[f341,f297]) ).
fof(f691,plain,
( ~ spl5_19
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f665,plain,
( $false
| ~ spl5_19
| ~ spl5_83 ),
inference(resolution,[],[f660,f322]) ).
fof(f660,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl5_83 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f690,plain,
( ~ spl5_17
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f667]) ).
fof(f667,plain,
( $false
| ~ spl5_17
| ~ spl5_83 ),
inference(resolution,[],[f660,f312]) ).
fof(f689,plain,
( ~ spl5_16
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| ~ spl5_16
| ~ spl5_83 ),
inference(resolution,[],[f660,f307]) ).
fof(f688,plain,
( ~ spl5_10
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f669]) ).
fof(f669,plain,
( $false
| ~ spl5_10
| ~ spl5_83 ),
inference(resolution,[],[f660,f277]) ).
fof(f687,plain,
( ~ spl5_9
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| ~ spl5_9
| ~ spl5_83 ),
inference(resolution,[],[f660,f272]) ).
fof(f686,plain,
( ~ spl5_15
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| ~ spl5_15
| ~ spl5_83 ),
inference(resolution,[],[f660,f302]) ).
fof(f685,plain,
( ~ spl5_8
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| ~ spl5_8
| ~ spl5_83 ),
inference(resolution,[],[f660,f267]) ).
fof(f684,plain,
( ~ spl5_6
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl5_6
| ~ spl5_83 ),
inference(resolution,[],[f660,f257]) ).
fof(f683,plain,
( ~ spl5_7
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| ~ spl5_7
| ~ spl5_83 ),
inference(resolution,[],[f660,f262]) ).
fof(f682,plain,
( ~ spl5_12
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl5_12
| ~ spl5_83 ),
inference(resolution,[],[f660,f287]) ).
fof(f681,plain,
( ~ spl5_14
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| ~ spl5_14
| ~ spl5_83 ),
inference(resolution,[],[f660,f297]) ).
fof(f680,plain,
( ~ spl5_11
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| ~ spl5_11
| ~ spl5_83 ),
inference(resolution,[],[f660,f282]) ).
fof(f679,plain,
( ~ spl5_13
| ~ spl5_83 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl5_13
| ~ spl5_83 ),
inference(resolution,[],[f660,f292]) ).
fof(f664,plain,
( spl5_83
| spl5_84 ),
inference(avatar_split_clause,[],[f216,f662,f659]) ).
fof(f216,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f657,plain,
spl5_82,
inference(avatar_split_clause,[],[f211,f655]) ).
fof(f211,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,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/benchmark/theBenchmark.p',mLEASm) ).
fof(f653,plain,
spl5_81,
inference(avatar_split_clause,[],[f209,f651]) ).
fof(f209,plain,
! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,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,[],[f98]) ).
fof(f98,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/benchmark/theBenchmark.p',mMNeg) ).
fof(f649,plain,
spl5_80,
inference(avatar_split_clause,[],[f208,f647]) ).
fof(f208,plain,
! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f645,plain,
( spl5_79
| ~ spl5_12
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f352,f340,f285,f642]) ).
fof(f352,plain,
( sP2(xR)
| ~ spl5_12
| ~ spl5_23 ),
inference(resolution,[],[f341,f287]) ).
fof(f640,plain,
spl5_78,
inference(avatar_split_clause,[],[f207,f638]) ).
fof(f207,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,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/benchmark/theBenchmark.p',mMDNeg) ).
fof(f636,plain,
spl5_77,
inference(avatar_split_clause,[],[f201,f634]) ).
fof(f201,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( aScalar0(sdtasasdt0(X0,X1))
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,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/benchmark/theBenchmark.p',mScPr) ).
fof(f629,plain,
spl5_76,
inference(avatar_split_clause,[],[f199,f627]) ).
fof(f627,plain,
( spl5_76
<=> ! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
fof(f199,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f625,plain,
spl5_75,
inference(avatar_split_clause,[],[f181,f623]) ).
fof(f181,plain,
! [X3,X0,X1] :
( sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3)
| ~ aNaturalNumber0(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f615,plain,
spl5_74,
inference(avatar_split_clause,[],[f210,f613]) ).
fof(f210,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,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/benchmark/theBenchmark.p',mLETot) ).
fof(f611,plain,
spl5_73,
inference(avatar_split_clause,[],[f198,f609]) ).
fof(f198,plain,
! [X0] :
( szszuzczcdt0(sK4(X0)) = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f79,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(sK4(X0)) = X0
& aNaturalNumber0(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( sz00 != X0
& aNaturalNumber0(X0) )
=> ? [X1] :
( szszuzczcdt0(X1) = X0
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtr) ).
fof(f607,plain,
( spl5_72
| ~ spl5_7
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f351,f340,f260,f604]) ).
fof(f351,plain,
( sP2(xH)
| ~ spl5_7
| ~ spl5_23 ),
inference(resolution,[],[f341,f262]) ).
fof(f599,plain,
spl5_71,
inference(avatar_split_clause,[],[f180,f597]) ).
fof(f180,plain,
! [X0,X1] :
( aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f595,plain,
spl5_70,
inference(avatar_split_clause,[],[f178,f593]) ).
fof(f593,plain,
( spl5_70
<=> ! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
fof(f178,plain,
! [X0,X1] :
( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ( sziznziztdt0(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| sziznziztdt0(X0) != X1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( sziznziztdt0(X0) = X1
<=> sP0(X0,X1) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f577,plain,
( spl5_69
| ~ spl5_6
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f350,f340,f255,f574]) ).
fof(f350,plain,
( sP2(xG)
| ~ spl5_6
| ~ spl5_23 ),
inference(resolution,[],[f341,f257]) ).
fof(f567,plain,
spl5_68,
inference(avatar_split_clause,[],[f206,f565]) ).
fof(f206,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f563,plain,
spl5_67,
inference(avatar_split_clause,[],[f205,f561]) ).
fof(f205,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f559,plain,
spl5_66,
inference(avatar_split_clause,[],[f200,f557]) ).
fof(f200,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( aScalar0(sdtlbdtrb0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aVector0(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,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/benchmark/theBenchmark.p',mElmSc) ).
fof(f555,plain,
spl5_65,
inference(avatar_split_clause,[],[f197,f553]) ).
fof(f197,plain,
! [X0] :
( aNaturalNumber0(sK4(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f551,plain,
spl5_64,
inference(avatar_split_clause,[],[f193,f549]) ).
fof(f193,plain,
! [X0] :
( sz0z00 = sdtpldt0(smndt0(X0),X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,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,[],[f123]) ).
fof(f123,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(f547,plain,
spl5_63,
inference(avatar_split_clause,[],[f192,f545]) ).
fof(f192,plain,
! [X0] :
( sz0z00 = sdtpldt0(X0,smndt0(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f543,plain,
spl5_62,
inference(avatar_split_clause,[],[f184,f541]) ).
fof(f184,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( sP1(X0)
| sz00 = aDimensionOf0(X0)
| ~ aVector0(X0) ),
inference(definition_folding,[],[f73,f121,f120]) ).
fof(f73,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,[],[f72]) ).
fof(f72,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/benchmark/theBenchmark.p',mDefInit) ).
fof(f539,plain,
( spl5_61
| ~ spl5_8
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f349,f340,f265,f536]) ).
fof(f349,plain,
( sP2(xF)
| ~ spl5_8
| ~ spl5_23 ),
inference(resolution,[],[f341,f267]) ).
fof(f530,plain,
spl5_60,
inference(avatar_split_clause,[],[f194,f528]) ).
fof(f194,plain,
! [X0] :
( smndt0(smndt0(X0)) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f526,plain,
spl5_59,
inference(avatar_split_clause,[],[f191,f524]) ).
fof(f191,plain,
! [X0] :
( sz0z00 = sdtasdt0(sz0z00,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f522,plain,
spl5_58,
inference(avatar_split_clause,[],[f190,f520]) ).
fof(f190,plain,
! [X0] :
( sz0z00 = sdtasdt0(X0,sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f518,plain,
spl5_57,
inference(avatar_split_clause,[],[f189,f516]) ).
fof(f189,plain,
! [X0] :
( sdtpldt0(sz0z00,X0) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f514,plain,
spl5_56,
inference(avatar_split_clause,[],[f188,f512]) ).
fof(f188,plain,
! [X0] :
( sdtpldt0(X0,sz0z00) = X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f510,plain,
( spl5_55
| ~ spl5_15
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f348,f340,f300,f507]) ).
fof(f348,plain,
( sP2(xE)
| ~ spl5_15
| ~ spl5_23 ),
inference(resolution,[],[f341,f302]) ).
fof(f505,plain,
spl5_54,
inference(avatar_split_clause,[],[f187,f503]) ).
fof(f187,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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/benchmark/theBenchmark.p',mSqPos) ).
fof(f501,plain,
spl5_53,
inference(avatar_split_clause,[],[f176,f499]) ).
fof(f176,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,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/benchmark/theBenchmark.p',mScSqPos) ).
fof(f497,plain,
spl5_52,
inference(avatar_split_clause,[],[f138,f494]) ).
fof(f138,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/benchmark/theBenchmark.p',m__1967) ).
fof(f489,plain,
spl5_51,
inference(avatar_split_clause,[],[f225,f487]) ).
fof(f225,plain,
! [X0] :
( sP0(X0,sziznziztdt0(X0))
| ~ sP1(X0) ),
inference(equality_resolution,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( sP0(X0,X1)
| sziznziztdt0(X0) != X1
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f484,plain,
( spl5_49
| spl5_50 ),
inference(avatar_split_clause,[],[f195,f481,f478]) ).
fof(f195,plain,
! [X0] :
( sz0z00 = smndt0(sz0z00)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f476,plain,
( spl5_48
| ~ spl5_9
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f347,f340,f270,f473]) ).
fof(f347,plain,
( sP2(xD)
| ~ spl5_9
| ~ spl5_23 ),
inference(resolution,[],[f341,f272]) ).
fof(f471,plain,
spl5_47,
inference(avatar_split_clause,[],[f174,f469]) ).
fof(f469,plain,
( spl5_47
<=> ! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f174,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != szszuzczcdt0(X0)
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNat) ).
fof(f467,plain,
spl5_46,
inference(avatar_split_clause,[],[f172,f465]) ).
fof(f465,plain,
( spl5_46
<=> ! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f172,plain,
! [X0] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,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/benchmark/theBenchmark.p',mIH) ).
fof(f463,plain,
spl5_45,
inference(avatar_split_clause,[],[f226,f460]) ).
fof(f226,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xt)),
inference(forward_demodulation,[],[f168,f136]) ).
fof(f168,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(f458,plain,
spl5_44,
inference(avatar_split_clause,[],[f166,f455]) ).
fof(f455,plain,
( spl5_44
<=> xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f166,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(f451,plain,
( spl5_43
| ~ spl5_10
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f346,f340,f275,f448]) ).
fof(f346,plain,
( sP2(xC)
| ~ spl5_10
| ~ spl5_23 ),
inference(resolution,[],[f341,f277]) ).
fof(f446,plain,
spl5_42,
inference(avatar_split_clause,[],[f186,f444]) ).
fof(f444,plain,
( spl5_42
<=> ! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f186,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERef) ).
fof(f442,plain,
spl5_41,
inference(avatar_split_clause,[],[f185,f440]) ).
fof(f185,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(f438,plain,
spl5_40,
inference(avatar_split_clause,[],[f179,f436]) ).
fof(f179,plain,
! [X0,X1] :
( aVector0(X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f434,plain,
spl5_39,
inference(avatar_split_clause,[],[f175,f432]) ).
fof(f175,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(f430,plain,
spl5_38,
inference(avatar_split_clause,[],[f173,f428]) ).
fof(f173,plain,
! [X0] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f426,plain,
( spl5_37
| ~ spl5_16
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f345,f340,f305,f423]) ).
fof(f345,plain,
( sP2(xB)
| ~ spl5_16
| ~ spl5_23 ),
inference(resolution,[],[f341,f307]) ).
fof(f420,plain,
spl5_36,
inference(avatar_split_clause,[],[f164,f417]) ).
fof(f417,plain,
( spl5_36
<=> xE = sdtasasdt0(xp,xq) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f164,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f415,plain,
spl5_35,
inference(avatar_split_clause,[],[f162,f412]) ).
fof(f162,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f410,plain,
( spl5_34
| ~ spl5_17
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f344,f340,f310,f407]) ).
fof(f344,plain,
( sP2(xA)
| ~ spl5_17
| ~ spl5_23 ),
inference(resolution,[],[f341,f312]) ).
fof(f405,plain,
spl5_33,
inference(avatar_split_clause,[],[f160,f402]) ).
fof(f160,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f400,plain,
spl5_32,
inference(avatar_split_clause,[],[f158,f397]) ).
fof(f158,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f395,plain,
spl5_31,
inference(avatar_split_clause,[],[f156,f392]) ).
fof(f156,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f390,plain,
spl5_30,
inference(avatar_split_clause,[],[f154,f387]) ).
fof(f154,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(f385,plain,
spl5_29,
inference(avatar_split_clause,[],[f152,f382]) ).
fof(f152,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(f380,plain,
spl5_28,
inference(avatar_split_clause,[],[f150,f377]) ).
fof(f150,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f375,plain,
spl5_27,
inference(avatar_split_clause,[],[f148,f372]) ).
fof(f148,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f370,plain,
spl5_26,
inference(avatar_split_clause,[],[f146,f367]) ).
fof(f146,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(f365,plain,
spl5_25,
inference(avatar_split_clause,[],[f137,f362]) ).
fof(f137,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
fof(f360,plain,
spl5_24,
inference(avatar_split_clause,[],[f136,f357]) ).
fof(f342,plain,
spl5_23,
inference(avatar_split_clause,[],[f196,f340]) ).
fof(f196,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( sP2(X0)
| ~ aScalar0(X0) ),
inference(definition_folding,[],[f77,f123]) ).
fof(f77,plain,
! [X0] :
( ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( sz0z00 = smndt0(sz0z00)
& smndt0(smndt0(X0)) = X0
& sz0z00 = sdtpldt0(smndt0(X0),X0)
& sz0z00 = sdtpldt0(X0,smndt0(X0))
& sz0z00 = sdtasdt0(sz0z00,X0)
& sz0z00 = sdtasdt0(X0,sz0z00)
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(f338,plain,
spl5_22,
inference(avatar_split_clause,[],[f142,f335]) ).
fof(f142,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(f333,plain,
spl5_21,
inference(avatar_split_clause,[],[f140,f330]) ).
fof(f140,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(f328,plain,
~ spl5_20,
inference(avatar_split_clause,[],[f135,f325]) ).
fof(f135,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
sz00 != aDimensionOf0(xs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).
fof(f323,plain,
spl5_19,
inference(avatar_split_clause,[],[f171,f320]) ).
fof(f171,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f318,plain,
spl5_18,
inference(avatar_split_clause,[],[f170,f315]) ).
fof(f315,plain,
( spl5_18
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f170,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNat) ).
fof(f313,plain,
spl5_17,
inference(avatar_split_clause,[],[f167,f310]) ).
fof(f167,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f308,plain,
spl5_16,
inference(avatar_split_clause,[],[f165,f305]) ).
fof(f165,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f303,plain,
spl5_15,
inference(avatar_split_clause,[],[f163,f300]) ).
fof(f163,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f298,plain,
spl5_14,
inference(avatar_split_clause,[],[f161,f295]) ).
fof(f161,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f293,plain,
spl5_13,
inference(avatar_split_clause,[],[f159,f290]) ).
fof(f159,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f288,plain,
spl5_12,
inference(avatar_split_clause,[],[f157,f285]) ).
fof(f157,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f283,plain,
spl5_11,
inference(avatar_split_clause,[],[f155,f280]) ).
fof(f155,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f278,plain,
spl5_10,
inference(avatar_split_clause,[],[f153,f275]) ).
fof(f153,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f273,plain,
spl5_9,
inference(avatar_split_clause,[],[f151,f270]) ).
fof(f151,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f268,plain,
spl5_8,
inference(avatar_split_clause,[],[f149,f265]) ).
fof(f149,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f263,plain,
spl5_7,
inference(avatar_split_clause,[],[f147,f260]) ).
fof(f147,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f258,plain,
spl5_6,
inference(avatar_split_clause,[],[f145,f255]) ).
fof(f145,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f253,plain,
spl5_5,
inference(avatar_split_clause,[],[f144,f250]) ).
fof(f144,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).
fof(f248,plain,
spl5_4,
inference(avatar_split_clause,[],[f143,f245]) ).
fof(f143,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f243,plain,
spl5_3,
inference(avatar_split_clause,[],[f141,f240]) ).
fof(f141,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f238,plain,
spl5_2,
inference(avatar_split_clause,[],[f139,f235]) ).
fof(f139,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f233,plain,
~ spl5_1,
inference(avatar_split_clause,[],[f134,f230]) ).
fof(f134,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/benchmark/theBenchmark.p',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG059+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n008.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 : Fri May 3 18:20:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (5112)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (5117)WARNING: value z3 for option sas not known
% 0.15/0.39 % (5115)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (5116)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (5117)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (5118)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (5119)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (5120)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 % (5121)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.23/0.41 TRYING [3]
% 0.23/0.46 TRYING [4]
% 0.23/0.47 TRYING [4]
% 0.23/0.58 TRYING [5]
% 1.59/0.59 TRYING [5]
% 1.97/0.69 % (5119)First to succeed.
% 1.97/0.70 % (5119)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5112"
% 1.97/0.71 % (5119)Refutation found. Thanks to Tanya!
% 1.97/0.71 % SZS status Theorem for theBenchmark
% 1.97/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.72 % (5119)------------------------------
% 1.97/0.72 % (5119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.97/0.72 % (5119)Termination reason: Refutation
% 1.97/0.72
% 1.97/0.72 % (5119)Memory used [KB]: 8098
% 1.97/0.72 % (5119)Time elapsed: 0.319 s
% 1.97/0.72 % (5119)Instructions burned: 890 (million)
% 1.97/0.72 % (5112)Success in time 0.34 s
%------------------------------------------------------------------------------