TSTP Solution File: RNG083+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG083+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 : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 14:51:50 EDT 2024
% Result : Theorem 2.67s 0.75s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 750
% Syntax : Number of formulae : 2627 ( 27 unt; 0 def)
% Number of atoms : 9498 (1855 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 12977 (6106 ~;6102 |; 23 &)
% ( 734 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 737 ( 735 usr; 735 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2537 (2537 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12616,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f70,f75,f84,f88,f92,f96,f100,f104,f124,f128,f132,f136,f141,f165,f169,f185,f189,f194,f210,f214,f230,f234,f251,f256,f265,f270,f275,f280,f285,f290,f303,f308,f315,f320,f325,f330,f339,f344,f351,f356,f361,f366,f374,f378,f396,f400,f404,f408,f412,f416,f420,f424,f436,f491,f495,f516,f520,f538,f542,f546,f550,f554,f559,f563,f567,f571,f575,f579,f614,f650,f654,f658,f662,f673,f695,f699,f719,f723,f727,f732,f736,f740,f744,f748,f752,f790,f817,f821,f840,f844,f848,f853,f857,f861,f865,f869,f873,f935,f939,f957,f961,f980,f984,f988,f992,f1020,f1025,f1029,f1033,f1065,f1070,f1077,f1082,f1089,f1094,f1101,f1106,f1113,f1119,f1123,f1127,f1131,f1135,f1139,f1143,f1147,f1151,f1155,f1159,f1163,f1167,f1171,f1175,f1179,f1257,f1304,f1308,f1312,f1316,f1321,f1325,f1329,f1333,f1337,f1341,f1345,f1349,f1353,f1357,f1361,f1366,f1370,f1374,f1378,f1382,f1386,f1390,f1394,f1398,f1402,f1406,f1411,f1415,f1419,f1423,f1427,f1431,f1435,f1439,f1443,f1464,f1554,f1644,f1727,f1731,f1735,f1739,f1743,f1775,f1779,f1784,f1788,f1792,f1796,f1800,f1804,f1808,f1812,f1816,f1837,f1909,f1913,f1918,f1922,f1926,f1930,f1934,f1938,f1942,f1946,f1950,f1954,f1958,f1963,f1967,f1971,f2040,f2099,f2103,f2107,f2111,f2116,f2120,f2124,f2128,f2132,f2136,f2140,f2144,f2148,f2152,f2156,f2161,f2165,f2169,f2173,f2226,f2316,f2341,f2345,f2349,f2353,f2357,f2361,f2365,f2369,f2374,f2378,f2382,f2386,f2390,f2394,f2423,f2530,f2534,f2538,f2542,f2546,f2550,f2554,f2558,f2562,f2566,f2570,f2575,f2579,f2583,f2587,f2591,f2595,f2599,f2603,f2607,f2611,f2615,f2620,f2624,f2628,f2632,f2636,f2640,f2644,f2648,f2652,f2656,f2661,f2665,f2669,f2673,f2677,f2681,f2771,f2844,f2929,f2954,f2958,f2962,f2966,f2970,f2974,f2978,f2982,f2987,f3043,f3047,f3052,f3056,f3092,f3096,f3100,f3104,f3109,f3113,f3117,f3121,f3125,f3129,f3133,f3137,f3141,f3145,f3149,f3227,f3263,f3267,f3271,f3303,f3307,f3311,f3315,f3319,f3323,f3327,f3331,f3335,f3339,f3343,f3348,f3352,f3356,f3360,f3364,f3368,f3372,f3376,f3380,f3384,f3389,f3393,f3397,f3401,f3405,f3409,f3413,f3417,f3421,f3493,f3559,f3634,f3647,f3651,f3655,f3659,f3663,f3667,f3671,f3675,f3679,f3683,f3688,f3760,f3764,f3768,f3772,f3776,f3780,f3784,f3788,f3792,f3853,f3857,f3861,f3865,f3870,f3874,f3878,f3882,f3886,f3890,f3894,f3898,f3902,f3906,f3911,f3915,f3919,f3923,f3927,f3931,f3935,f3939,f3943,f3947,f3952,f3956,f4138,f4142,f4147,f4151,f4155,f4159,f4204,f4208,f4212,f4216,f4220,f4224,f4228,f4232,f4236,f4240,f4245,f4249,f4253,f4257,f4261,f4265,f4269,f4273,f4277,f4281,f4285,f4290,f4349,f4424,f4440,f4451,f4455,f4471,f4475,f4480,f4484,f4488,f4492,f4496,f4500,f4504,f4508,f4512,f4516,f4520,f4525,f4606,f4610,f4614,f4618,f4649,f4653,f4671,f4675,f4679,f4683,f4687,f4691,f4696,f4700,f4704,f4708,f4749,f4777,f4781,f4785,f4789,f4818,f4822,f4826,f4830,f4871,f4876,f4881,f4886,f4891,f4896,f4901,f4906,f4911,f4916,f4921,f4927,f4936,f4954,f4959,f4964,f4969,f4974,f4979,f4984,f4989,f4994,f4999,f5014,f5019,f5024,f5029,f5034,f5040,f5054,f5059,f5064,f5070,f5075,f5080,f5085,f5091,f5098,f5104,f5111,f5116,f5121,f5126,f5131,f5136,f5141,f5146,f5151,f5156,f5158,f5163,f5168,f5175,f5180,f5186,f5191,f5197,f5203,f5208,f5213,f5776,f5782,f5788,f5793,f5798,f5803,f5808,f5814,f6363,f6374,f6383,f6404,f6413,f6418,f6423,f6428,f6434,f6439,f6445,f6450,f6455,f6466,f6487,f6491,f6529,f6534,f6538,f6542,f6546,f6550,f6554,f6558,f6562,f6566,f6570,f6571,f6575,f6579,f6583,f6587,f6591,f6595,f6599,f6603,f6607,f6611,f7177,f7181,f7185,f7189,f7193,f7197,f7201,f7206,f7210,f7214,f7770,f7774,f7778,f7782,f7786,f7790,f7794,f7798,f7802,f7806,f7811,f7815,f7819,f7823,f7827,f7831,f7835,f7839,f7843,f7847,f7851,f7856,f7860,f7864,f7868,f7872,f7876,f7880,f7884,f7888,f7892,f7896,f7901,f7905,f7909,f7913,f7917,f7921,f8438,f8603,f8973,f8977,f8981,f8985,f8989,f8993,f8997,f9001,f9005,f9014,f9018,f9022,f9026,f9030,f9034,f9038,f9042,f9046,f9050,f9054,f9060,f9064,f9068,f9072,f9076,f9080,f9084,f9088,f9092,f9096,f9097,f9101,f9105,f9109,f9113,f9117,f9121,f9125,f9129,f9133,f9137,f9801,f9805,f9809,f9813,f9817,f9821,f9825,f9829,f9833,f9837,f10500,f10504,f10508,f10512,f10516,f10520,f10524,f10528,f10532,f10536,f10541,f10545,f10549,f10553,f10557,f10561,f10565,f10569,f10573,f10577,f10581,f10586,f10590,f10594,f10598,f10602,f10606,f10610,f10614,f10619,f10623,f10628,f10633,f10637,f11375,f11602,f11853,f12244,f12249,f12253,f12257,f12261,f12265,f12269,f12273,f12277,f12281,f12285,f12289,f12294,f12298,f12302,f12447,f12577,f12581,f12585,f12589,f12593,f12594,f12615]) ).
fof(f12615,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f969,f611,f81,f77]) ).
fof(f77,plain,
( spl0_4
<=> sz00 = sdtasdt0(xx,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f81,plain,
( spl0_5
<=> sz00 = sdtasdt0(sz00,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f611,plain,
( spl0_71
<=> sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f969,plain,
( sz00 != sdtasdt0(xx,sz00)
| spl0_5
| ~ spl0_71 ),
inference(superposition,[],[f83,f613]) ).
fof(f613,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f83,plain,
( sz00 != sdtasdt0(sz00,xx)
| spl0_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f12594,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_71
| ~ spl0_481
| ~ spl0_532
| ~ spl0_625
| ~ spl0_728 ),
inference(avatar_split_clause,[],[f12537,f12300,f8600,f5785,f4924,f611,f72,f77]) ).
fof(f72,plain,
( spl0_3
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f4924,plain,
( spl0_481
<=> sz00 = sdtasdt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_481])]) ).
fof(f5785,plain,
( spl0_532
<=> sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_532])]) ).
fof(f8600,plain,
( spl0_625
<=> sdtasdt0(xx,sz00) = sdtasdt0(sz00,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_625])]) ).
fof(f12300,plain,
( spl0_728
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(xx)),sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_728])]) ).
fof(f12537,plain,
( sz00 = sdtasdt0(xx,sz00)
| ~ spl0_3
| ~ spl0_71
| ~ spl0_481
| ~ spl0_532
| ~ spl0_625
| ~ spl0_728 ),
inference(forward_demodulation,[],[f12536,f4926]) ).
fof(f4926,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl0_481 ),
inference(avatar_component_clause,[],[f4924]) ).
fof(f12536,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz00,sz00)
| ~ spl0_3
| ~ spl0_71
| ~ spl0_532
| ~ spl0_625
| ~ spl0_728 ),
inference(forward_demodulation,[],[f12535,f5787]) ).
fof(f5787,plain,
( sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz00))
| ~ spl0_532 ),
inference(avatar_component_clause,[],[f5785]) ).
fof(f12535,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_71
| ~ spl0_625
| ~ spl0_728 ),
inference(forward_demodulation,[],[f12534,f8602]) ).
fof(f8602,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz00,smndt0(xx))
| ~ spl0_625 ),
inference(avatar_component_clause,[],[f8600]) ).
fof(f12534,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,smndt0(xx)),sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_71
| ~ spl0_728 ),
inference(forward_demodulation,[],[f12522,f613]) ).
fof(f12522,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,smndt0(xx)),sdtasdt0(sz00,xx))
| ~ spl0_3
| ~ spl0_728 ),
inference(resolution,[],[f12301,f74]) ).
fof(f74,plain,
( aElement0(sz00)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f12301,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(xx)),sdtasdt0(X0,xx)) )
| ~ spl0_728 ),
inference(avatar_component_clause,[],[f12300]) ).
fof(f12593,plain,
( spl0_734
| ~ spl0_6
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f1857,f1794,f86,f12591]) ).
fof(f12591,plain,
( spl0_734
<=> ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(sz00,smndt0(X0)),smndt0(sdtpldt0(sz00,smndt0(X0))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_734])]) ).
fof(f86,plain,
( spl0_6
<=> ! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1794,plain,
( spl0_186
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1857,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(sz00,smndt0(X0)),smndt0(sdtpldt0(sz00,smndt0(X0))))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_186 ),
inference(resolution,[],[f1795,f87]) ).
fof(f87,plain,
( ! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f1795,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f12589,plain,
( spl0_733
| ~ spl0_6
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1849,f1790,f86,f12587]) ).
fof(f12587,plain,
( spl0_733
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(X0))),sdtpldt0(sz10,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_733])]) ).
fof(f1790,plain,
( spl0_185
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1849,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,smndt0(X0))),sdtpldt0(sz10,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_185 ),
inference(resolution,[],[f1791,f87]) ).
fof(f1791,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f12585,plain,
( spl0_732
| ~ spl0_6
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1840,f1786,f86,f12583]) ).
fof(f12583,plain,
( spl0_732
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,smndt0(X0))),sdtpldt0(sz00,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_732])]) ).
fof(f1786,plain,
( spl0_184
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1840,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,smndt0(X0))),sdtpldt0(sz00,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_184 ),
inference(resolution,[],[f1787,f87]) ).
fof(f1787,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f12581,plain,
( spl0_731
| ~ spl0_6
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1827,f1777,f86,f12579]) ).
fof(f12579,plain,
( spl0_731
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(smndt0(X0)))),smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_731])]) ).
fof(f1777,plain,
( spl0_182
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1827,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(smndt0(X0)))),smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_182 ),
inference(resolution,[],[f1778,f87]) ).
fof(f1778,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0))) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f12577,plain,
( spl0_730
| ~ spl0_6
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1819,f1773,f86,f12575]) ).
fof(f12575,plain,
( spl0_730
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(smndt0(smndt0(X0)))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_730])]) ).
fof(f1773,plain,
( spl0_181
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1819,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(smndt0(smndt0(X0)))))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_181 ),
inference(resolution,[],[f1774,f87]) ).
fof(f1774,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0)))) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f12447,plain,
( spl0_729
| ~ spl0_2
| ~ spl0_557 ),
inference(avatar_split_clause,[],[f7948,f6536,f67,f12444]) ).
fof(f12444,plain,
( spl0_729
<=> sdtpldt0(xx,smndt0(sz10)) = sdtasdt0(sz10,sdtpldt0(xx,smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_729])]) ).
fof(f67,plain,
( spl0_2
<=> aElement0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f6536,plain,
( spl0_557
<=> ! [X0] :
( sdtpldt0(xx,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(xx,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_557])]) ).
fof(f7948,plain,
( sdtpldt0(xx,smndt0(sz10)) = sdtasdt0(sz10,sdtpldt0(xx,smndt0(sz10)))
| ~ spl0_2
| ~ spl0_557 ),
inference(resolution,[],[f6537,f69]) ).
fof(f69,plain,
( aElement0(sz10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f6537,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(xx,smndt0(X0))) )
| ~ spl0_557 ),
inference(avatar_component_clause,[],[f6536]) ).
fof(f12302,plain,
( spl0_728
| ~ spl0_1
| ~ spl0_34
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f3281,f3261,f305,f62,f12300]) ).
fof(f62,plain,
( spl0_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f305,plain,
( spl0_34
<=> sz00 = sdtpldt0(smndt0(xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f3261,plain,
( spl0_316
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xx)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xx))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_316])]) ).
fof(f3281,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,smndt0(xx)),sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_34
| ~ spl0_316 ),
inference(forward_demodulation,[],[f3277,f307]) ).
fof(f307,plain,
( sz00 = sdtpldt0(smndt0(xx),xx)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f3277,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(xx),xx)) = sdtpldt0(sdtasdt0(X0,smndt0(xx)),sdtasdt0(X0,xx)) )
| ~ spl0_1
| ~ spl0_316 ),
inference(resolution,[],[f3262,f64]) ).
fof(f64,plain,
( aElement0(xx)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f3262,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(smndt0(X1),xx)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xx)) )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f3261]) ).
fof(f12298,plain,
( spl0_727
| ~ spl0_1
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f3038,f2980,f62,f12296]) ).
fof(f12296,plain,
( spl0_727
<=> ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(smndt0(xx),X0),smndt0(sdtasdt0(smndt0(xx),X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_727])]) ).
fof(f2980,plain,
( spl0_294
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(smndt0(X1),X0),smndt0(sdtasdt0(smndt0(X1),X0)))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f3038,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(smndt0(xx),X0),smndt0(sdtasdt0(smndt0(xx),X0)))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_294 ),
inference(resolution,[],[f2981,f64]) ).
fof(f2981,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = sdtpldt0(sdtasdt0(smndt0(X1),X0),smndt0(sdtasdt0(smndt0(X1),X0)))
| ~ aElement0(X0) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f2980]) ).
fof(f12294,plain,
( spl0_726
| ~ spl0_1
| ~ spl0_556 ),
inference(avatar_split_clause,[],[f7944,f6532,f62,f12291]) ).
fof(f12291,plain,
( spl0_726
<=> sdtasdt0(smndt0(smndt0(xx)),xx) = sdtasdt0(xx,smndt0(smndt0(xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_726])]) ).
fof(f6532,plain,
( spl0_556
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xx) = sdtasdt0(xx,smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_556])]) ).
fof(f7944,plain,
( sdtasdt0(smndt0(smndt0(xx)),xx) = sdtasdt0(xx,smndt0(smndt0(xx)))
| ~ spl0_1
| ~ spl0_556 ),
inference(resolution,[],[f6533,f64]) ).
fof(f6533,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(smndt0(X0)),xx) = sdtasdt0(xx,smndt0(smndt0(X0))) )
| ~ spl0_556 ),
inference(avatar_component_clause,[],[f6532]) ).
fof(f12289,plain,
( spl0_725
| ~ spl0_1
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f3031,f2976,f62,f12287]) ).
fof(f12287,plain,
( spl0_725
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(xx),X0)),sdtasdt0(smndt0(xx),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_725])]) ).
fof(f2976,plain,
( spl0_293
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(X1),X0)),sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f3031,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(xx),X0)),sdtasdt0(smndt0(xx),X0))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_293 ),
inference(resolution,[],[f2977,f64]) ).
fof(f2977,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(X1),X0)),sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X0) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f2976]) ).
fof(f12285,plain,
( spl0_724
| ~ spl0_1
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f3024,f2972,f62,f12283]) ).
fof(f12283,plain,
( spl0_724
<=> ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(smndt0(xx),X0),smndt0(sdtpldt0(smndt0(xx),X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_724])]) ).
fof(f2972,plain,
( spl0_292
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(smndt0(X1),X0),smndt0(sdtpldt0(smndt0(X1),X0)))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f3024,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(smndt0(xx),X0),smndt0(sdtpldt0(smndt0(xx),X0)))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_292 ),
inference(resolution,[],[f2973,f64]) ).
fof(f2973,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = sdtpldt0(sdtpldt0(smndt0(X1),X0),smndt0(sdtpldt0(smndt0(X1),X0)))
| ~ aElement0(X0) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f2972]) ).
fof(f12281,plain,
( spl0_723
| ~ spl0_1
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f3017,f2968,f62,f12279]) ).
fof(f12279,plain,
( spl0_723
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(xx),X0)),sdtpldt0(smndt0(xx),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_723])]) ).
fof(f2968,plain,
( spl0_291
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(X1),X0)),sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f3017,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(xx),X0)),sdtpldt0(smndt0(xx),X0))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_291 ),
inference(resolution,[],[f2969,f64]) ).
fof(f2969,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(X1),X0)),sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X0) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f2968]) ).
fof(f12277,plain,
( spl0_722
| ~ spl0_1
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f3011,f2964,f62,f12275]) ).
fof(f12275,plain,
( spl0_722
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,xx))),smndt0(sdtasdt0(X0,xx)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_722])]) ).
fof(f2964,plain,
( spl0_290
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f3011,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,xx))),smndt0(sdtasdt0(X0,xx)))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_290 ),
inference(resolution,[],[f2965,f64]) ).
fof(f2965,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X0) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f2964]) ).
fof(f12273,plain,
( spl0_721
| ~ spl0_1
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f3005,f2960,f62,f12271]) ).
fof(f12271,plain,
( spl0_721
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,xx))),smndt0(sdtpldt0(X0,xx)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_721])]) ).
fof(f2960,plain,
( spl0_289
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f3005,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,xx))),smndt0(sdtpldt0(X0,xx)))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_289 ),
inference(resolution,[],[f2961,f64]) ).
fof(f2961,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X0) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f2960]) ).
fof(f12269,plain,
( spl0_720
| ~ spl0_1
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f2999,f2956,f62,f12267]) ).
fof(f12267,plain,
( spl0_720
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,xx)),smndt0(smndt0(sdtasdt0(X0,xx))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_720])]) ).
fof(f2956,plain,
( spl0_288
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f2999,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,xx)),smndt0(smndt0(sdtasdt0(X0,xx))))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_288 ),
inference(resolution,[],[f2957,f64]) ).
fof(f2957,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aElement0(X0) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f2956]) ).
fof(f12265,plain,
( spl0_719
| ~ spl0_1
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f2993,f2952,f62,f12263]) ).
fof(f12263,plain,
( spl0_719
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,xx)),smndt0(smndt0(sdtpldt0(X0,xx))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_719])]) ).
fof(f2952,plain,
( spl0_287
<=> ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f2993,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,xx)),smndt0(smndt0(sdtpldt0(X0,xx))))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_287 ),
inference(resolution,[],[f2953,f64]) ).
fof(f2953,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aElement0(X0) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f2952]) ).
fof(f12261,plain,
( spl0_718
| ~ spl0_6
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1767,f1741,f86,f12259]) ).
fof(f12259,plain,
( spl0_718
<=> ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(xx,smndt0(X0)),smndt0(sdtasdt0(xx,smndt0(X0))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f1741,plain,
( spl0_180
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(xx,X0),smndt0(sdtasdt0(xx,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f1767,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtasdt0(xx,smndt0(X0)),smndt0(sdtasdt0(xx,smndt0(X0))))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_180 ),
inference(resolution,[],[f1742,f87]) ).
fof(f1742,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(xx,X0),smndt0(sdtasdt0(xx,X0))) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f12257,plain,
( spl0_717
| ~ spl0_6
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1760,f1737,f86,f12255]) ).
fof(f12255,plain,
( spl0_717
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(xx,smndt0(X0))),sdtasdt0(xx,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_717])]) ).
fof(f1737,plain,
( spl0_179
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xx,X0)),sdtasdt0(xx,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f1760,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(xx,smndt0(X0))),sdtasdt0(xx,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_179 ),
inference(resolution,[],[f1738,f87]) ).
fof(f1738,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xx,X0)),sdtasdt0(xx,X0)) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f12253,plain,
( spl0_716
| ~ spl0_6
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1753,f1733,f86,f12251]) ).
fof(f12251,plain,
( spl0_716
<=> ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(xx,smndt0(X0)),smndt0(sdtpldt0(xx,smndt0(X0))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_716])]) ).
fof(f1733,plain,
( spl0_178
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(xx,X0),smndt0(sdtpldt0(xx,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f1753,plain,
( ! [X0] :
( sz00 = sdtpldt0(sdtpldt0(xx,smndt0(X0)),smndt0(sdtpldt0(xx,smndt0(X0))))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_178 ),
inference(resolution,[],[f1734,f87]) ).
fof(f1734,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(xx,X0),smndt0(sdtpldt0(xx,X0))) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1733]) ).
fof(f12249,plain,
( spl0_715
| ~ spl0_2
| ~ spl0_556 ),
inference(avatar_split_clause,[],[f7936,f6532,f67,f12246]) ).
fof(f12246,plain,
( spl0_715
<=> sdtasdt0(smndt0(smndt0(sz10)),xx) = sdtasdt0(xx,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_715])]) ).
fof(f7936,plain,
( sdtasdt0(smndt0(smndt0(sz10)),xx) = sdtasdt0(xx,smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_556 ),
inference(resolution,[],[f6533,f69]) ).
fof(f12244,plain,
( spl0_714
| ~ spl0_6
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1746,f1729,f86,f12242]) ).
fof(f12242,plain,
( spl0_714
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(xx,smndt0(X0))),sdtpldt0(xx,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_714])]) ).
fof(f1729,plain,
( spl0_177
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xx,X0)),sdtpldt0(xx,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1746,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(xx,smndt0(X0))),sdtpldt0(xx,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_177 ),
inference(resolution,[],[f1730,f87]) ).
fof(f1730,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xx,X0)),sdtpldt0(xx,X0)) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f11853,plain,
( spl0_713
| ~ spl0_499
| ~ spl0_539
| ~ spl0_549
| ~ spl0_685 ),
inference(avatar_split_clause,[],[f11814,f10530,f6442,f6371,f5047,f11850]) ).
fof(f11850,plain,
( spl0_713
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_713])]) ).
fof(f5047,plain,
( spl0_499
<=> aElement0(sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_499])]) ).
fof(f6371,plain,
( spl0_539
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_539])]) ).
fof(f6442,plain,
( spl0_549
<=> sdtpldt0(sdtpldt0(sz10,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_549])]) ).
fof(f10530,plain,
( spl0_685
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_685])]) ).
fof(f11814,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,sz10)))
| ~ spl0_499
| ~ spl0_539
| ~ spl0_549
| ~ spl0_685 ),
inference(forward_demodulation,[],[f11813,f6373]) ).
fof(f6373,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00)
| ~ spl0_539 ),
inference(avatar_component_clause,[],[f6371]) ).
fof(f11813,plain,
( sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00) = sdtasdt0(sz00,sdtpldt0(sz10,sdtpldt0(sz10,sz10)))
| ~ spl0_499
| ~ spl0_549
| ~ spl0_685 ),
inference(forward_demodulation,[],[f11802,f6444]) ).
fof(f6444,plain,
( sdtpldt0(sdtpldt0(sz10,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,sz10))
| ~ spl0_549 ),
inference(avatar_component_clause,[],[f6442]) ).
fof(f11802,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,sz10),sz10),sz00) = sdtasdt0(sz00,sdtpldt0(sdtpldt0(sz10,sz10),sz10))
| ~ spl0_499
| ~ spl0_685 ),
inference(resolution,[],[f10531,f5048]) ).
fof(f5048,plain,
( aElement0(sdtpldt0(sz10,sz10))
| ~ spl0_499 ),
inference(avatar_component_clause,[],[f5047]) ).
fof(f10531,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz10)) )
| ~ spl0_685 ),
inference(avatar_component_clause,[],[f10530]) ).
fof(f11602,plain,
( spl0_712
| ~ spl0_1
| ~ spl0_555 ),
inference(avatar_split_clause,[],[f7931,f6527,f62,f11599]) ).
fof(f11599,plain,
( spl0_712
<=> sdtpldt0(smndt0(smndt0(xx)),xx) = sdtpldt0(xx,smndt0(smndt0(xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_712])]) ).
fof(f6527,plain,
( spl0_555
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xx) = sdtpldt0(xx,smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_555])]) ).
fof(f7931,plain,
( sdtpldt0(smndt0(smndt0(xx)),xx) = sdtpldt0(xx,smndt0(smndt0(xx)))
| ~ spl0_1
| ~ spl0_555 ),
inference(resolution,[],[f6528,f64]) ).
fof(f6528,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(smndt0(X0)),xx) = sdtpldt0(xx,smndt0(smndt0(X0))) )
| ~ spl0_555 ),
inference(avatar_component_clause,[],[f6527]) ).
fof(f11375,plain,
( spl0_711
| ~ spl0_2
| ~ spl0_555 ),
inference(avatar_split_clause,[],[f7923,f6527,f67,f11372]) ).
fof(f11372,plain,
( spl0_711
<=> sdtpldt0(smndt0(smndt0(sz10)),xx) = sdtpldt0(xx,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_711])]) ).
fof(f7923,plain,
( sdtpldt0(smndt0(smndt0(sz10)),xx) = sdtpldt0(xx,smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_555 ),
inference(resolution,[],[f6528,f69]) ).
fof(f10637,plain,
( spl0_710
| ~ spl0_2
| ~ spl0_42
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f3246,f3139,f353,f67,f10635]) ).
fof(f10635,plain,
( spl0_710
<=> ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_710])]) ).
fof(f353,plain,
( spl0_42
<=> smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f3139,plain,
( spl0_312
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_312])]) ).
fof(f3246,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz10)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_42
| ~ spl0_312 ),
inference(forward_demodulation,[],[f3239,f355]) ).
fof(f355,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f3239,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(sz10),sz10)) )
| ~ spl0_2
| ~ spl0_312 ),
inference(resolution,[],[f3140,f69]) ).
fof(f3140,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz10)) )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f10633,plain,
( spl0_709
| ~ spl0_517
| ~ spl0_531
| ~ spl0_543
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f7766,f6489,f6410,f5779,f5143,f10630]) ).
fof(f10630,plain,
( spl0_709
<=> sdtasdt0(xx,sz00) = sdtasdt0(smndt0(sdtasdt0(xx,sz00)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_709])]) ).
fof(f5143,plain,
( spl0_517
<=> smndt0(sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,sz00),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_517])]) ).
fof(f5779,plain,
( spl0_531
<=> sdtasdt0(xx,sz00) = sdtasdt0(sdtasdt0(xx,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_531])]) ).
fof(f6410,plain,
( spl0_543
<=> aElement0(sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_543])]) ).
fof(f6489,plain,
( spl0_554
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_554])]) ).
fof(f7766,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(smndt0(sdtasdt0(xx,sz00)),sz00)
| ~ spl0_517
| ~ spl0_531
| ~ spl0_543
| ~ spl0_554 ),
inference(forward_demodulation,[],[f7765,f5781]) ).
fof(f5781,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sdtasdt0(xx,sz00),sz00)
| ~ spl0_531 ),
inference(avatar_component_clause,[],[f5779]) ).
fof(f7765,plain,
( sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(smndt0(sdtasdt0(xx,sz00)),sz00)
| ~ spl0_517
| ~ spl0_543
| ~ spl0_554 ),
inference(forward_demodulation,[],[f7604,f5145]) ).
fof(f5145,plain,
( smndt0(sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,sz00),smndt0(sz10))
| ~ spl0_517 ),
inference(avatar_component_clause,[],[f5143]) ).
fof(f7604,plain,
( sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(sdtasdt0(sdtasdt0(xx,sz00),smndt0(sz10)),sz00)
| ~ spl0_543
| ~ spl0_554 ),
inference(resolution,[],[f6412,f6490]) ).
fof(f6490,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00) )
| ~ spl0_554 ),
inference(avatar_component_clause,[],[f6489]) ).
fof(f6412,plain,
( aElement0(sdtasdt0(xx,sz00))
| ~ spl0_543 ),
inference(avatar_component_clause,[],[f6410]) ).
fof(f10628,plain,
( spl0_708
| ~ spl0_2
| ~ spl0_112
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f3211,f3127,f1062,f67,f10626]) ).
fof(f10626,plain,
( spl0_708
<=> ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_708])]) ).
fof(f1062,plain,
( spl0_112
<=> smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f3127,plain,
( spl0_309
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz00))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f3211,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_112
| ~ spl0_309 ),
inference(forward_demodulation,[],[f3204,f1064]) ).
fof(f1064,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f3204,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(sz10),sz00)) )
| ~ spl0_2
| ~ spl0_309 ),
inference(resolution,[],[f3128,f69]) ).
fof(f3128,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz00)) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f3127]) ).
fof(f10623,plain,
( spl0_707
| ~ spl0_3
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f2909,f2667,f72,f10621]) ).
fof(f10621,plain,
( spl0_707
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(sz00,sz00),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_707])]) ).
fof(f2667,plain,
( spl0_280
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f2909,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(sz00,sz00),X0)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_280 ),
inference(resolution,[],[f2668,f74]) ).
fof(f2668,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
| ~ aElement0(X0) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f2667]) ).
fof(f10619,plain,
( spl0_706
| ~ spl0_2
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f2903,f2663,f67,f10617]) ).
fof(f10617,plain,
( spl0_706
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtasdt0(sdtpldt0(sz10,sz10),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_706])]) ).
fof(f2663,plain,
( spl0_279
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f2903,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtasdt0(sdtpldt0(sz10,sz10),X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_279 ),
inference(resolution,[],[f2664,f69]) ).
fof(f2664,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
| ~ aElement0(X0) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f2663]) ).
fof(f10614,plain,
( spl0_705
| ~ spl0_3
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f2877,f2650,f72,f10612]) ).
fof(f10612,plain,
( spl0_705
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(sz00,sz00)) = sdtpldt0(sdtasdt0(sz00,sz00),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_705])]) ).
fof(f2650,plain,
( spl0_276
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f2877,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(sz00,sz00)) = sdtpldt0(sdtasdt0(sz00,sz00),X0)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_276 ),
inference(resolution,[],[f2651,f74]) ).
fof(f2651,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
| ~ aElement0(X0) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f2650]) ).
fof(f10610,plain,
( spl0_704
| ~ spl0_2
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f2871,f2646,f67,f10608]) ).
fof(f10608,plain,
( spl0_704
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(sz10,sz10),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_704])]) ).
fof(f2646,plain,
( spl0_275
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f2871,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtpldt0(sz10,sz10),X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_275 ),
inference(resolution,[],[f2647,f69]) ).
fof(f2647,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
| ~ aElement0(X0) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f2646]) ).
fof(f10606,plain,
( spl0_703
| ~ spl0_2
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f2854,f2638,f67,f10604]) ).
fof(f10604,plain,
( spl0_703
<=> ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_703])]) ).
fof(f2638,plain,
( spl0_273
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f2854,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_273 ),
inference(resolution,[],[f2639,f69]) ).
fof(f2639,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aElement0(X0) )
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f10602,plain,
( spl0_702
| ~ spl0_2
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f2846,f2634,f67,f10600]) ).
fof(f10600,plain,
( spl0_702
<=> ! [X0] :
( sdtpldt0(X0,smndt0(smndt0(sz10))) = sdtpldt0(smndt0(smndt0(sz10)),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_702])]) ).
fof(f2634,plain,
( spl0_272
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f2846,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(smndt0(sz10))) = sdtpldt0(smndt0(smndt0(sz10)),X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_272 ),
inference(resolution,[],[f2635,f69]) ).
fof(f2635,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aElement0(X0) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f2634]) ).
fof(f10598,plain,
( spl0_701
| ~ spl0_2
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f2834,f2630,f67,f10596]) ).
fof(f10596,plain,
( spl0_701
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_701])]) ).
fof(f2630,plain,
( spl0_271
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f2834,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_271 ),
inference(resolution,[],[f2631,f69]) ).
fof(f2631,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aElement0(X0) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f2630]) ).
fof(f10594,plain,
( spl0_700
| ~ spl0_2
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f2827,f2626,f67,f10592]) ).
fof(f10592,plain,
( spl0_700
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(sz10),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_700])]) ).
fof(f2626,plain,
( spl0_270
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f2827,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(sz10),X0))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_270 ),
inference(resolution,[],[f2627,f69]) ).
fof(f2627,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X0) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f2626]) ).
fof(f10590,plain,
( spl0_699
| ~ spl0_2
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f2820,f2622,f67,f10588]) ).
fof(f10588,plain,
( spl0_699
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_699])]) ).
fof(f2622,plain,
( spl0_269
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz10)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f2820,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),sz10)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_269 ),
inference(resolution,[],[f2623,f69]) ).
fof(f2623,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz10)
| ~ aElement0(X0) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f2622]) ).
fof(f10586,plain,
( spl0_698
| ~ spl0_426
| ~ spl0_515
| ~ spl0_542
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f7173,f6489,f6406,f5133,f4346,f10583]) ).
fof(f10583,plain,
( spl0_698
<=> sdtasdt0(xx,sz00) = sdtasdt0(smndt0(sdtpldt0(xx,sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_698])]) ).
fof(f4346,plain,
( spl0_426
<=> sdtasdt0(xx,sz00) = sdtasdt0(sdtpldt0(xx,sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_426])]) ).
fof(f5133,plain,
( spl0_515
<=> smndt0(sdtpldt0(xx,sz10)) = sdtasdt0(sdtpldt0(xx,sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_515])]) ).
fof(f6406,plain,
( spl0_542
<=> aElement0(sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_542])]) ).
fof(f7173,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(smndt0(sdtpldt0(xx,sz10)),sz00)
| ~ spl0_426
| ~ spl0_515
| ~ spl0_542
| ~ spl0_554 ),
inference(forward_demodulation,[],[f7172,f4348]) ).
fof(f4348,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sdtpldt0(xx,sz10),sz00)
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f4346]) ).
fof(f7172,plain,
( sdtasdt0(sdtpldt0(xx,sz10),sz00) = sdtasdt0(smndt0(sdtpldt0(xx,sz10)),sz00)
| ~ spl0_515
| ~ spl0_542
| ~ spl0_554 ),
inference(forward_demodulation,[],[f7001,f5135]) ).
fof(f5135,plain,
( smndt0(sdtpldt0(xx,sz10)) = sdtasdt0(sdtpldt0(xx,sz10),smndt0(sz10))
| ~ spl0_515 ),
inference(avatar_component_clause,[],[f5133]) ).
fof(f7001,plain,
( sdtasdt0(sdtpldt0(xx,sz10),sz00) = sdtasdt0(sdtasdt0(sdtpldt0(xx,sz10),smndt0(sz10)),sz00)
| ~ spl0_542
| ~ spl0_554 ),
inference(resolution,[],[f6407,f6490]) ).
fof(f6407,plain,
( aElement0(sdtpldt0(xx,sz10))
| ~ spl0_542 ),
inference(avatar_component_clause,[],[f6406]) ).
fof(f10581,plain,
( spl0_697
| ~ spl0_2
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f2813,f2618,f67,f10579]) ).
fof(f10579,plain,
( spl0_697
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(sz10),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_697])]) ).
fof(f2618,plain,
( spl0_268
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f2813,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(sz10),X0))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_268 ),
inference(resolution,[],[f2619,f69]) ).
fof(f2619,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X0) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f10577,plain,
( spl0_696
| ~ spl0_2
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f2806,f2613,f67,f10575]) ).
fof(f10575,plain,
( spl0_696
<=> ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_696])]) ).
fof(f2613,plain,
( spl0_267
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f2806,plain,
( ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_267 ),
inference(resolution,[],[f2614,f69]) ).
fof(f2614,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aElement0(X0) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f2613]) ).
fof(f10573,plain,
( spl0_695
| ~ spl0_2
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f2799,f2609,f67,f10571]) ).
fof(f10571,plain,
( spl0_695
<=> ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(sz10),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_695])]) ).
fof(f2609,plain,
( spl0_266
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f2799,plain,
( ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(sz10),X0))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_266 ),
inference(resolution,[],[f2610,f69]) ).
fof(f2610,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X0) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f2609]) ).
fof(f10569,plain,
( spl0_694
| ~ spl0_2
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2792,f2605,f67,f10567]) ).
fof(f10567,plain,
( spl0_694
<=> ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_694])]) ).
fof(f2605,plain,
( spl0_265
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz10)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f2792,plain,
( ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sdtpldt0(smndt0(sz10),X0),sz10)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_265 ),
inference(resolution,[],[f2606,f69]) ).
fof(f2606,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz10)
| ~ aElement0(X0) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f2605]) ).
fof(f10565,plain,
( spl0_693
| ~ spl0_2
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f2785,f2601,f67,f10563]) ).
fof(f10563,plain,
( spl0_693
<=> ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_693])]) ).
fof(f2601,plain,
( spl0_264
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f2785,plain,
( ! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(sz10),X0))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_264 ),
inference(resolution,[],[f2602,f69]) ).
fof(f2602,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X0) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f2601]) ).
fof(f10561,plain,
( spl0_692
| ~ spl0_2
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f2779,f2597,f67,f10559]) ).
fof(f10559,plain,
( spl0_692
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(sz10,sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_692])]) ).
fof(f2597,plain,
( spl0_263
<=> ! [X0,X1] :
( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f2779,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(sz10,sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_263 ),
inference(resolution,[],[f2598,f69]) ).
fof(f2598,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
| ~ aElement0(X0) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f10557,plain,
( spl0_691
| ~ spl0_3
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f2778,f2597,f72,f10555]) ).
fof(f10555,plain,
( spl0_691
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(sz10,sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_691])]) ).
fof(f2778,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(sz10,sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_263 ),
inference(resolution,[],[f2598,f74]) ).
fof(f10553,plain,
( spl0_690
| ~ spl0_2
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2773,f2593,f67,f10551]) ).
fof(f10551,plain,
( spl0_690
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtasdt0(sz10,sdtpldt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_690])]) ).
fof(f2593,plain,
( spl0_262
<=> ! [X0,X1] :
( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f2773,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtasdt0(sz10,sdtpldt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_262 ),
inference(resolution,[],[f2594,f69]) ).
fof(f2594,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
| ~ aElement0(X0) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f10549,plain,
( spl0_689
| ~ spl0_3
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2772,f2593,f72,f10547]) ).
fof(f10547,plain,
( spl0_689
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtasdt0(sz10,sdtpldt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_689])]) ).
fof(f2772,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtasdt0(sz10,sdtpldt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_262 ),
inference(resolution,[],[f2594,f74]) ).
fof(f10545,plain,
( spl0_688
| ~ spl0_2
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f2762,f2589,f67,f10543]) ).
fof(f10543,plain,
( spl0_688
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_688])]) ).
fof(f2589,plain,
( spl0_261
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f2762,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_261 ),
inference(resolution,[],[f2590,f69]) ).
fof(f2590,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f2589]) ).
fof(f10541,plain,
( spl0_687
| ~ spl0_444
| ~ spl0_500
| ~ spl0_514
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f6524,f6489,f5128,f5051,f4522,f10538]) ).
fof(f10538,plain,
( spl0_687
<=> sdtasdt0(xx,sz00) = sdtasdt0(smndt0(sdtpldt0(xx,xx)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_687])]) ).
fof(f4522,plain,
( spl0_444
<=> sdtasdt0(xx,sz00) = sdtasdt0(sdtpldt0(xx,xx),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_444])]) ).
fof(f5051,plain,
( spl0_500
<=> aElement0(sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_500])]) ).
fof(f5128,plain,
( spl0_514
<=> smndt0(sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_514])]) ).
fof(f6524,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(smndt0(sdtpldt0(xx,xx)),sz00)
| ~ spl0_444
| ~ spl0_500
| ~ spl0_514
| ~ spl0_554 ),
inference(forward_demodulation,[],[f6523,f4524]) ).
fof(f4524,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sdtpldt0(xx,xx),sz00)
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f4522]) ).
fof(f6523,plain,
( sdtasdt0(sdtpldt0(xx,xx),sz00) = sdtasdt0(smndt0(sdtpldt0(xx,xx)),sz00)
| ~ spl0_500
| ~ spl0_514
| ~ spl0_554 ),
inference(forward_demodulation,[],[f6514,f5130]) ).
fof(f5130,plain,
( smndt0(sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),smndt0(sz10))
| ~ spl0_514 ),
inference(avatar_component_clause,[],[f5128]) ).
fof(f6514,plain,
( sdtasdt0(sdtpldt0(xx,xx),sz00) = sdtasdt0(sdtasdt0(sdtpldt0(xx,xx),smndt0(sz10)),sz00)
| ~ spl0_500
| ~ spl0_554 ),
inference(resolution,[],[f6490,f5053]) ).
fof(f5053,plain,
( aElement0(sdtpldt0(xx,xx))
| ~ spl0_500 ),
inference(avatar_component_clause,[],[f5051]) ).
fof(f10536,plain,
( spl0_686
| ~ spl0_3
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f2761,f2589,f72,f10534]) ).
fof(f10534,plain,
( spl0_686
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_686])]) ).
fof(f2761,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_261 ),
inference(resolution,[],[f2590,f74]) ).
fof(f10532,plain,
( spl0_685
| ~ spl0_2
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f2756,f2585,f67,f10530]) ).
fof(f2585,plain,
( spl0_260
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f2756,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_260 ),
inference(resolution,[],[f2586,f69]) ).
fof(f2586,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f2585]) ).
fof(f10528,plain,
( spl0_684
| ~ spl0_3
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f2755,f2585,f72,f10526]) ).
fof(f10526,plain,
( spl0_684
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_684])]) ).
fof(f2755,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtasdt0(sz00,sdtpldt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_260 ),
inference(resolution,[],[f2586,f74]) ).
fof(f10524,plain,
( spl0_683
| ~ spl0_2
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f2750,f2581,f67,f10522]) ).
fof(f10522,plain,
( spl0_683
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sz10) = sdtpldt0(sz10,sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_683])]) ).
fof(f2581,plain,
( spl0_259
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f2750,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sz10) = sdtpldt0(sz10,sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_259 ),
inference(resolution,[],[f2582,f69]) ).
fof(f2582,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f2581]) ).
fof(f10520,plain,
( spl0_682
| ~ spl0_3
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f2749,f2581,f72,f10518]) ).
fof(f10518,plain,
( spl0_682
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz10) = sdtpldt0(sz10,sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_682])]) ).
fof(f2749,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz10) = sdtpldt0(sz10,sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_259 ),
inference(resolution,[],[f2582,f74]) ).
fof(f10516,plain,
( spl0_681
| ~ spl0_2
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f2744,f2577,f67,f10514]) ).
fof(f10514,plain,
( spl0_681
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_681])]) ).
fof(f2577,plain,
( spl0_258
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f2744,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_258 ),
inference(resolution,[],[f2578,f69]) ).
fof(f2578,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f2577]) ).
fof(f10512,plain,
( spl0_680
| ~ spl0_3
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f2743,f2577,f72,f10510]) ).
fof(f10510,plain,
( spl0_680
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sz10,sdtpldt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_680])]) ).
fof(f2743,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sz10,sdtpldt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_258 ),
inference(resolution,[],[f2578,f74]) ).
fof(f10508,plain,
( spl0_679
| ~ spl0_2
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f2738,f2568,f67,f10506]) ).
fof(f10506,plain,
( spl0_679
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sz00) = sdtpldt0(sz00,sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_679])]) ).
fof(f2568,plain,
( spl0_256
<=> ! [X0,X1] :
( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f2738,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sz00) = sdtpldt0(sz00,sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_256 ),
inference(resolution,[],[f2569,f69]) ).
fof(f2569,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
| ~ aElement0(X0) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f2568]) ).
fof(f10504,plain,
( spl0_678
| ~ spl0_3
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f2737,f2568,f72,f10502]) ).
fof(f10502,plain,
( spl0_678
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_678])]) ).
fof(f2737,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),sz00) = sdtpldt0(sz00,sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_256 ),
inference(resolution,[],[f2569,f74]) ).
fof(f10500,plain,
( spl0_677
| ~ spl0_2
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f2732,f2564,f67,f10498]) ).
fof(f10498,plain,
( spl0_677
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_677])]) ).
fof(f2564,plain,
( spl0_255
<=> ! [X0,X1] :
( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f2732,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_255 ),
inference(resolution,[],[f2565,f69]) ).
fof(f2565,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
| ~ aElement0(X0) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f2564]) ).
fof(f9837,plain,
( spl0_676
| ~ spl0_3
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f2731,f2564,f72,f9835]) ).
fof(f9835,plain,
( spl0_676
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_676])]) ).
fof(f2731,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sz00,sdtpldt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_255 ),
inference(resolution,[],[f2565,f74]) ).
fof(f9833,plain,
( spl0_675
| ~ spl0_2
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f2726,f2560,f67,f9831]) ).
fof(f9831,plain,
( spl0_675
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,sz10)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_675])]) ).
fof(f2560,plain,
( spl0_254
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f2726,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,sz10)))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_254 ),
inference(resolution,[],[f2561,f69]) ).
fof(f2561,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X0) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f2560]) ).
fof(f9829,plain,
( spl0_674
| ~ spl0_3
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f2725,f2560,f72,f9827]) ).
fof(f9827,plain,
( spl0_674
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,sz00)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_674])]) ).
fof(f2725,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,sz00)))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_254 ),
inference(resolution,[],[f2561,f74]) ).
fof(f9825,plain,
( spl0_673
| ~ spl0_2
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2720,f2556,f67,f9823]) ).
fof(f9823,plain,
( spl0_673
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,sz10)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_673])]) ).
fof(f2556,plain,
( spl0_253
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f2720,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,sz10)))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_253 ),
inference(resolution,[],[f2557,f69]) ).
fof(f2557,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X0) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f9821,plain,
( spl0_672
| ~ spl0_3
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2719,f2556,f72,f9819]) ).
fof(f9819,plain,
( spl0_672
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,sz00)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_672])]) ).
fof(f2719,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,sz00)))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_253 ),
inference(resolution,[],[f2557,f74]) ).
fof(f9817,plain,
( spl0_671
| ~ spl0_2
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f2714,f2552,f67,f9815]) ).
fof(f9815,plain,
( spl0_671
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(smndt0(sdtasdt0(X0,sz10)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_671])]) ).
fof(f2552,plain,
( spl0_252
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz10)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f2714,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(smndt0(sdtasdt0(X0,sz10)),sz10)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_252 ),
inference(resolution,[],[f2553,f69]) ).
fof(f2553,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz10)
| ~ aElement0(X0) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f2552]) ).
fof(f9813,plain,
( spl0_670
| ~ spl0_3
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f2713,f2552,f72,f9811]) ).
fof(f9811,plain,
( spl0_670
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sdtasdt0(X0,sz00)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_670])]) ).
fof(f2713,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sdtasdt0(X0,sz00)),sz10)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_252 ),
inference(resolution,[],[f2553,f74]) ).
fof(f9809,plain,
( spl0_669
| ~ spl0_2
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f2708,f2548,f67,f9807]) ).
fof(f9807,plain,
( spl0_669
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sdtpldt0(X0,sz10)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_669])]) ).
fof(f2548,plain,
( spl0_251
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz10)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f2708,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sdtpldt0(X0,sz10)),sz10)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_251 ),
inference(resolution,[],[f2549,f69]) ).
fof(f2549,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz10)
| ~ aElement0(X0) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f2548]) ).
fof(f9805,plain,
( spl0_668
| ~ spl0_3
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f2707,f2548,f72,f9803]) ).
fof(f9803,plain,
( spl0_668
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(smndt0(sdtpldt0(X0,sz00)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_668])]) ).
fof(f2707,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(smndt0(sdtpldt0(X0,sz00)),sz10)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_251 ),
inference(resolution,[],[f2549,f74]) ).
fof(f9801,plain,
( spl0_667
| ~ spl0_2
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f2701,f2544,f67,f9799]) ).
fof(f9799,plain,
( spl0_667
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,sz10)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_667])]) ).
fof(f2544,plain,
( spl0_250
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f2701,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,sz10)))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_250 ),
inference(resolution,[],[f2545,f69]) ).
fof(f2545,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X0) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f2544]) ).
fof(f9137,plain,
( spl0_666
| ~ spl0_3
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f2700,f2544,f72,f9135]) ).
fof(f9135,plain,
( spl0_666
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,sz00)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_666])]) ).
fof(f2700,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,sz00)))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_250 ),
inference(resolution,[],[f2545,f74]) ).
fof(f9133,plain,
( spl0_665
| ~ spl0_2
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2695,f2540,f67,f9131]) ).
fof(f9131,plain,
( spl0_665
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,sz10)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_665])]) ).
fof(f2540,plain,
( spl0_249
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f2695,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,sz10)))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_249 ),
inference(resolution,[],[f2541,f69]) ).
fof(f2541,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X0) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f2540]) ).
fof(f9129,plain,
( spl0_664
| ~ spl0_3
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2694,f2540,f72,f9127]) ).
fof(f9127,plain,
( spl0_664
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,sz00)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_664])]) ).
fof(f2694,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,sz00)))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_249 ),
inference(resolution,[],[f2541,f74]) ).
fof(f9125,plain,
( spl0_663
| ~ spl0_2
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f2689,f2536,f67,f9123]) ).
fof(f9123,plain,
( spl0_663
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtpldt0(smndt0(sdtasdt0(X0,sz10)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_663])]) ).
fof(f2536,plain,
( spl0_248
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f2689,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtpldt0(smndt0(sdtasdt0(X0,sz10)),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_248 ),
inference(resolution,[],[f2537,f69]) ).
fof(f2537,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aElement0(X0) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f2536]) ).
fof(f9121,plain,
( spl0_662
| ~ spl0_3
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f2688,f2536,f72,f9119]) ).
fof(f9119,plain,
( spl0_662
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtpldt0(smndt0(sdtasdt0(X0,sz00)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_662])]) ).
fof(f2688,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtpldt0(smndt0(sdtasdt0(X0,sz00)),sz00)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_248 ),
inference(resolution,[],[f2537,f74]) ).
fof(f9117,plain,
( spl0_661
| ~ spl0_2
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f2683,f2532,f67,f9115]) ).
fof(f9115,plain,
( spl0_661
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtpldt0(smndt0(sdtpldt0(X0,sz10)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_661])]) ).
fof(f2532,plain,
( spl0_247
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f2683,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtpldt0(smndt0(sdtpldt0(X0,sz10)),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_247 ),
inference(resolution,[],[f2533,f69]) ).
fof(f2533,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aElement0(X0) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f9113,plain,
( spl0_660
| ~ spl0_3
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f2682,f2532,f72,f9111]) ).
fof(f9111,plain,
( spl0_660
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtpldt0(smndt0(sdtpldt0(X0,sz00)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_660])]) ).
fof(f2682,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtpldt0(smndt0(sdtpldt0(X0,sz00)),sz00)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_247 ),
inference(resolution,[],[f2533,f74]) ).
fof(f9109,plain,
( spl0_659
| ~ spl0_6
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f1716,f1441,f86,f9107]) ).
fof(f9107,plain,
( spl0_659
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_659])]) ).
fof(f1441,plain,
( spl0_172
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f1716,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_172 ),
inference(resolution,[],[f1442,f87]) ).
fof(f1442,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f9105,plain,
( spl0_658
| ~ spl0_6
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f1709,f1437,f86,f9103]) ).
fof(f9103,plain,
( spl0_658
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_658])]) ).
fof(f1437,plain,
( spl0_171
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f1709,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz00),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_171 ),
inference(resolution,[],[f1438,f87]) ).
fof(f1438,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f9101,plain,
( spl0_657
| ~ spl0_6
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f1703,f1433,f86,f9099]) ).
fof(f9099,plain,
( spl0_657
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_657])]) ).
fof(f1433,plain,
( spl0_170
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f1703,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_170 ),
inference(resolution,[],[f1434,f87]) ).
fof(f1434,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f9097,plain,
( ~ spl0_1
| ~ spl0_14
| spl0_635 ),
inference(avatar_split_clause,[],[f9056,f9007,f134,f62]) ).
fof(f134,plain,
( spl0_14
<=> ! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f9007,plain,
( spl0_635
<=> aElement0(sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_635])]) ).
fof(f9056,plain,
( ~ aElement0(xx)
| ~ spl0_14
| spl0_635 ),
inference(duplicate_literal_removal,[],[f9055]) ).
fof(f9055,plain,
( ~ aElement0(xx)
| ~ aElement0(xx)
| ~ spl0_14
| spl0_635 ),
inference(resolution,[],[f9009,f135]) ).
fof(f135,plain,
( ! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f9009,plain,
( ~ aElement0(sdtasdt0(xx,xx))
| spl0_635 ),
inference(avatar_component_clause,[],[f9007]) ).
fof(f9096,plain,
( spl0_656
| ~ spl0_6
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f1697,f1429,f86,f9094]) ).
fof(f9094,plain,
( spl0_656
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_656])]) ).
fof(f1429,plain,
( spl0_169
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f1697,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_169 ),
inference(resolution,[],[f1430,f87]) ).
fof(f1430,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f9092,plain,
( spl0_655
| ~ spl0_6
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f1690,f1425,f86,f9090]) ).
fof(f9090,plain,
( spl0_655
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_655])]) ).
fof(f1425,plain,
( spl0_168
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f1690,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sdtpldt0(smndt0(X0),sz10),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_168 ),
inference(resolution,[],[f1426,f87]) ).
fof(f1426,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f9088,plain,
( spl0_654
| ~ spl0_6
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f1681,f1421,f86,f9086]) ).
fof(f9086,plain,
( spl0_654
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_654])]) ).
fof(f1421,plain,
( spl0_167
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1681,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_167 ),
inference(resolution,[],[f1422,f87]) ).
fof(f1422,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f9084,plain,
( spl0_653
| ~ spl0_6
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1672,f1417,f86,f9082]) ).
fof(f9082,plain,
( spl0_653
<=> ! [X0] :
( sdtasdt0(smndt0(sz10),smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_653])]) ).
fof(f1417,plain,
( spl0_166
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1672,plain,
( ! [X0] :
( sdtasdt0(smndt0(sz10),smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_166 ),
inference(resolution,[],[f1418,f87]) ).
fof(f1418,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f9080,plain,
( spl0_652
| ~ spl0_6
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f1664,f1413,f86,f9078]) ).
fof(f9078,plain,
( spl0_652
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_652])]) ).
fof(f1413,plain,
( spl0_165
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1664,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(sz10)) = sdtpldt0(smndt0(sz10),smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_165 ),
inference(resolution,[],[f1414,f87]) ).
fof(f1414,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f9076,plain,
( spl0_651
| ~ spl0_6
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f1655,f1404,f86,f9074]) ).
fof(f9074,plain,
( spl0_651
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtpldt0(sdtasdt0(sz10,smndt0(X0)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_651])]) ).
fof(f1404,plain,
( spl0_163
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1655,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtpldt0(sdtasdt0(sz10,smndt0(X0)),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_163 ),
inference(resolution,[],[f1405,f87]) ).
fof(f1405,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f9072,plain,
( spl0_650
| ~ spl0_6
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f1647,f1400,f86,f9070]) ).
fof(f9070,plain,
( spl0_650
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtpldt0(sdtasdt0(sz00,smndt0(X0)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_650])]) ).
fof(f1400,plain,
( spl0_162
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1647,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtpldt0(sdtasdt0(sz00,smndt0(X0)),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_162 ),
inference(resolution,[],[f1401,f87]) ).
fof(f1401,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1400]) ).
fof(f9068,plain,
( spl0_649
| ~ spl0_6
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f1633,f1396,f86,f9066]) ).
fof(f9066,plain,
( spl0_649
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(sz10,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_649])]) ).
fof(f1396,plain,
( spl0_161
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1633,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(sz10,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_161 ),
inference(resolution,[],[f1397,f87]) ).
fof(f1397,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f9064,plain,
( spl0_648
| ~ spl0_6
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f1625,f1392,f86,f9062]) ).
fof(f9062,plain,
( spl0_648
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(sz00,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_648])]) ).
fof(f1392,plain,
( spl0_160
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1625,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(sz00,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_160 ),
inference(resolution,[],[f1393,f87]) ).
fof(f1393,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f9060,plain,
( spl0_647
| ~ spl0_6
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1616,f1388,f86,f9058]) ).
fof(f9058,plain,
( spl0_647
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtasdt0(sdtasdt0(sz10,smndt0(X0)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_647])]) ).
fof(f1388,plain,
( spl0_159
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1616,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtasdt0(sdtasdt0(sz10,smndt0(X0)),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_159 ),
inference(resolution,[],[f1389,f87]) ).
fof(f1389,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f9054,plain,
( spl0_646
| ~ spl0_6
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1608,f1384,f86,f9052]) ).
fof(f9052,plain,
( spl0_646
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtasdt0(sdtasdt0(sz00,smndt0(X0)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_646])]) ).
fof(f1384,plain,
( spl0_158
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1608,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtasdt0(sdtasdt0(sz00,smndt0(X0)),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_158 ),
inference(resolution,[],[f1385,f87]) ).
fof(f1385,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f9050,plain,
( spl0_645
| ~ spl0_6
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f1599,f1380,f86,f9048]) ).
fof(f9048,plain,
( spl0_645
<=> ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(sz10,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_645])]) ).
fof(f1380,plain,
( spl0_157
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1599,plain,
( ! [X0] :
( sdtasdt0(sz10,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(sz10,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_157 ),
inference(resolution,[],[f1381,f87]) ).
fof(f1381,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f9046,plain,
( spl0_644
| ~ spl0_6
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1591,f1376,f86,f9044]) ).
fof(f9044,plain,
( spl0_644
<=> ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(sz00,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_644])]) ).
fof(f1376,plain,
( spl0_156
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1591,plain,
( ! [X0] :
( sdtasdt0(sz00,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(sz00,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_156 ),
inference(resolution,[],[f1377,f87]) ).
fof(f1377,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f9042,plain,
( spl0_643
| ~ spl0_6
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1583,f1372,f86,f9040]) ).
fof(f9040,plain,
( spl0_643
<=> ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtpldt0(sdtpldt0(sz10,smndt0(X0)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_643])]) ).
fof(f1372,plain,
( spl0_155
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1583,plain,
( ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtpldt0(sdtpldt0(sz10,smndt0(X0)),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_155 ),
inference(resolution,[],[f1373,f87]) ).
fof(f1373,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f9038,plain,
( spl0_642
| ~ spl0_6
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f1574,f1368,f86,f9036]) ).
fof(f9036,plain,
( spl0_642
<=> ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtpldt0(sdtpldt0(sz00,smndt0(X0)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_642])]) ).
fof(f1368,plain,
( spl0_154
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1574,plain,
( ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtpldt0(sdtpldt0(sz00,smndt0(X0)),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_154 ),
inference(resolution,[],[f1369,f87]) ).
fof(f1369,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f9034,plain,
( spl0_641
| ~ spl0_6
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1566,f1359,f86,f9032]) ).
fof(f9032,plain,
( spl0_641
<=> ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_641])]) ).
fof(f1359,plain,
( spl0_152
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1566,plain,
( ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(sz10,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_152 ),
inference(resolution,[],[f1360,f87]) ).
fof(f1360,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f9030,plain,
( spl0_640
| ~ spl0_6
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1557,f1355,f86,f9028]) ).
fof(f9028,plain,
( spl0_640
<=> ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(sz00,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_640])]) ).
fof(f1355,plain,
( spl0_151
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f1557,plain,
( ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(sz00,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_151 ),
inference(resolution,[],[f1356,f87]) ).
fof(f1356,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f9026,plain,
( spl0_639
| ~ spl0_6
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1544,f1351,f86,f9024]) ).
fof(f9024,plain,
( spl0_639
<=> ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtasdt0(sdtpldt0(sz10,smndt0(X0)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_639])]) ).
fof(f1351,plain,
( spl0_150
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1544,plain,
( ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtasdt0(sdtpldt0(sz10,smndt0(X0)),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_150 ),
inference(resolution,[],[f1352,f87]) ).
fof(f1352,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f9022,plain,
( spl0_638
| ~ spl0_6
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1535,f1347,f86,f9020]) ).
fof(f9020,plain,
( spl0_638
<=> ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtasdt0(sdtpldt0(sz00,smndt0(X0)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_638])]) ).
fof(f1347,plain,
( spl0_149
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1535,plain,
( ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtasdt0(sdtpldt0(sz00,smndt0(X0)),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_149 ),
inference(resolution,[],[f1348,f87]) ).
fof(f1348,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f9018,plain,
( spl0_637
| ~ spl0_6
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1527,f1343,f86,f9016]) ).
fof(f9016,plain,
( spl0_637
<=> ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(sz10,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_637])]) ).
fof(f1343,plain,
( spl0_148
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1527,plain,
( ! [X0] :
( sdtpldt0(sz10,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(sz10,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_148 ),
inference(resolution,[],[f1344,f87]) ).
fof(f1344,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f9014,plain,
( ~ spl0_635
| spl0_636
| ~ spl0_13
| ~ spl0_583 ),
inference(avatar_split_clause,[],[f8352,f7203,f130,f9011,f9007]) ).
fof(f9011,plain,
( spl0_636
<=> aElement0(sdtasdt0(xx,sdtpldt0(xx,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_636])]) ).
fof(f130,plain,
( spl0_13
<=> ! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f7203,plain,
( spl0_583
<=> sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_583])]) ).
fof(f8352,plain,
( aElement0(sdtasdt0(xx,sdtpldt0(xx,xx)))
| ~ aElement0(sdtasdt0(xx,xx))
| ~ spl0_13
| ~ spl0_583 ),
inference(duplicate_literal_removal,[],[f8351]) ).
fof(f8351,plain,
( aElement0(sdtasdt0(xx,sdtpldt0(xx,xx)))
| ~ aElement0(sdtasdt0(xx,xx))
| ~ aElement0(sdtasdt0(xx,xx))
| ~ spl0_13
| ~ spl0_583 ),
inference(superposition,[],[f131,f7205]) ).
fof(f7205,plain,
( sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xx))
| ~ spl0_583 ),
inference(avatar_component_clause,[],[f7203]) ).
fof(f131,plain,
( ! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f9005,plain,
( spl0_634
| ~ spl0_6
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f1518,f1339,f86,f9003]) ).
fof(f9003,plain,
( spl0_634
<=> ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(sz00,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_634])]) ).
fof(f1339,plain,
( spl0_147
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1518,plain,
( ! [X0] :
( sdtpldt0(sz00,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(sz00,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_147 ),
inference(resolution,[],[f1340,f87]) ).
fof(f1340,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f9001,plain,
( spl0_633
| ~ spl0_6
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f1508,f1335,f86,f8999]) ).
fof(f8999,plain,
( spl0_633
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz10) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_633])]) ).
fof(f1335,plain,
( spl0_146
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1508,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz10) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_146 ),
inference(resolution,[],[f1336,f87]) ).
fof(f1336,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0)) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f8997,plain,
( spl0_632
| ~ spl0_6
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1501,f1331,f86,f8995]) ).
fof(f8995,plain,
( spl0_632
<=> ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz00) = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_632])]) ).
fof(f1331,plain,
( spl0_145
<=> ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1501,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),sz00) = sdtasdt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_145 ),
inference(resolution,[],[f1332,f87]) ).
fof(f1332,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0)) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f8993,plain,
( spl0_631
| ~ spl0_6
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f1492,f1327,f86,f8991]) ).
fof(f8991,plain,
( spl0_631
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),sz10) = sdtpldt0(sz10,smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_631])]) ).
fof(f1327,plain,
( spl0_144
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1492,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),sz10) = sdtpldt0(sz10,smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_144 ),
inference(resolution,[],[f1328,f87]) ).
fof(f1328,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0)) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f8989,plain,
( spl0_630
| ~ spl0_6
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f1483,f1323,f86,f8987]) ).
fof(f8987,plain,
( spl0_630
<=> ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),sz00) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_630])]) ).
fof(f1323,plain,
( spl0_143
<=> ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1483,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),sz00) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_143 ),
inference(resolution,[],[f1324,f87]) ).
fof(f1324,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0)) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f8985,plain,
( spl0_629
| ~ spl0_6
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1475,f1314,f86,f8983]) ).
fof(f8983,plain,
( spl0_629
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(sz10,smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_629])]) ).
fof(f1314,plain,
( spl0_141
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1475,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(sz10,smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_141 ),
inference(resolution,[],[f1315,f87]) ).
fof(f1315,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0))) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f8981,plain,
( spl0_628
| ~ spl0_6
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1467,f1310,f86,f8979]) ).
fof(f8979,plain,
( spl0_628
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(smndt0(X0))),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_628])]) ).
fof(f1310,plain,
( spl0_140
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1467,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(smndt0(X0))),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_140 ),
inference(resolution,[],[f1311,f87]) ).
fof(f1311,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f8977,plain,
( spl0_627
| ~ spl0_6
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1454,f1306,f86,f8975]) ).
fof(f8975,plain,
( spl0_627
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(sz00,smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_627])]) ).
fof(f1306,plain,
( spl0_139
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1454,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(sz00,smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_139 ),
inference(resolution,[],[f1307,f87]) ).
fof(f1307,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0))) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f8973,plain,
( spl0_626
| ~ spl0_6
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1446,f1302,f86,f8971]) ).
fof(f8971,plain,
( spl0_626
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(smndt0(smndt0(smndt0(X0))),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_626])]) ).
fof(f1302,plain,
( spl0_138
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1446,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtpldt0(smndt0(smndt0(smndt0(X0))),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_138 ),
inference(resolution,[],[f1303,f87]) ).
fof(f1303,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f8603,plain,
( spl0_625
| ~ spl0_319
| ~ spl0_618 ),
inference(avatar_split_clause,[],[f8298,f7898,f3300,f8600]) ).
fof(f3300,plain,
( spl0_319
<=> sdtasdt0(sz00,smndt0(xx)) = sdtasdt0(smndt0(xx),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_319])]) ).
fof(f7898,plain,
( spl0_618
<=> sdtasdt0(xx,sz00) = sdtasdt0(smndt0(xx),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_618])]) ).
fof(f8298,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz00,smndt0(xx))
| ~ spl0_319
| ~ spl0_618 ),
inference(superposition,[],[f7900,f3302]) ).
fof(f3302,plain,
( sdtasdt0(sz00,smndt0(xx)) = sdtasdt0(smndt0(xx),sz00)
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f3300]) ).
fof(f7900,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(smndt0(xx),sz00)
| ~ spl0_618 ),
inference(avatar_component_clause,[],[f7898]) ).
fof(f8438,plain,
( spl0_624
| ~ spl0_257
| ~ spl0_499
| ~ spl0_547
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f6522,f6489,f6431,f5047,f2572,f8435]) ).
fof(f8435,plain,
( spl0_624
<=> sz00 = sdtasdt0(smndt0(sdtpldt0(sz10,sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_624])]) ).
fof(f2572,plain,
( spl0_257
<=> sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f6431,plain,
( spl0_547
<=> smndt0(sdtpldt0(sz10,sz10)) = sdtasdt0(sdtpldt0(sz10,sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_547])]) ).
fof(f6522,plain,
( sz00 = sdtasdt0(smndt0(sdtpldt0(sz10,sz10)),sz00)
| ~ spl0_257
| ~ spl0_499
| ~ spl0_547
| ~ spl0_554 ),
inference(forward_demodulation,[],[f6521,f2574]) ).
fof(f2574,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f2572]) ).
fof(f6521,plain,
( sdtasdt0(sdtpldt0(sz10,sz10),sz00) = sdtasdt0(smndt0(sdtpldt0(sz10,sz10)),sz00)
| ~ spl0_499
| ~ spl0_547
| ~ spl0_554 ),
inference(forward_demodulation,[],[f6513,f6433]) ).
fof(f6433,plain,
( smndt0(sdtpldt0(sz10,sz10)) = sdtasdt0(sdtpldt0(sz10,sz10),smndt0(sz10))
| ~ spl0_547 ),
inference(avatar_component_clause,[],[f6431]) ).
fof(f6513,plain,
( sdtasdt0(sdtpldt0(sz10,sz10),sz00) = sdtasdt0(sdtasdt0(sdtpldt0(sz10,sz10),smndt0(sz10)),sz00)
| ~ spl0_499
| ~ spl0_554 ),
inference(resolution,[],[f6490,f5048]) ).
fof(f7921,plain,
( spl0_623
| ~ spl0_1
| ~ spl0_88
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f3247,f3139,f787,f62,f7919]) ).
fof(f7919,plain,
( spl0_623
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xx)) = sdtasdt0(sdtasdt0(X0,smndt0(xx)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_623])]) ).
fof(f787,plain,
( spl0_88
<=> smndt0(xx) = sdtasdt0(smndt0(xx),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f3247,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xx)) = sdtasdt0(sdtasdt0(X0,smndt0(xx)),sz10)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_88
| ~ spl0_312 ),
inference(forward_demodulation,[],[f3243,f789]) ).
fof(f789,plain,
( smndt0(xx) = sdtasdt0(smndt0(xx),sz10)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f3243,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(xx)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(xx),sz10)) )
| ~ spl0_1
| ~ spl0_312 ),
inference(resolution,[],[f3140,f64]) ).
fof(f7917,plain,
( spl0_622
| ~ spl0_1
| ~ spl0_76
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f3212,f3127,f670,f62,f7915]) ).
fof(f7915,plain,
( spl0_622
<=> ! [X0] :
( sdtpldt0(X0,smndt0(xx)) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_622])]) ).
fof(f670,plain,
( spl0_76
<=> smndt0(xx) = sdtpldt0(smndt0(xx),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f3212,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(xx)) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),sz00)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_76
| ~ spl0_309 ),
inference(forward_demodulation,[],[f3208,f672]) ).
fof(f672,plain,
( smndt0(xx) = sdtpldt0(smndt0(xx),sz00)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f3208,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xx)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(xx),sz00)) )
| ~ spl0_1
| ~ spl0_309 ),
inference(resolution,[],[f3128,f64]) ).
fof(f7913,plain,
( spl0_621
| ~ spl0_2
| ~ spl0_39
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f3075,f3045,f336,f67,f7911]) ).
fof(f7911,plain,
( spl0_621
<=> ! [X0] :
( sdtasdt0(X0,smndt0(xx)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xx)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_621])]) ).
fof(f336,plain,
( spl0_39
<=> smndt0(xx) = sdtasdt0(smndt0(sz10),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f3045,plain,
( spl0_297
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xx) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xx))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f3075,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(xx)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xx)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_39
| ~ spl0_297 ),
inference(forward_demodulation,[],[f3068,f338]) ).
fof(f338,plain,
( smndt0(xx) = sdtasdt0(smndt0(sz10),xx)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f3068,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xx) = sdtasdt0(X0,sdtasdt0(smndt0(sz10),xx)) )
| ~ spl0_2
| ~ spl0_297 ),
inference(resolution,[],[f3046,f69]) ).
fof(f3046,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(X1)),xx) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xx)) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f3045]) ).
fof(f7909,plain,
( spl0_620
| ~ spl0_1
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f2858,f2638,f62,f7907]) ).
fof(f7907,plain,
( spl0_620
<=> ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(xx))) = sdtasdt0(smndt0(smndt0(xx)),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_620])]) ).
fof(f2858,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(smndt0(xx))) = sdtasdt0(smndt0(smndt0(xx)),X0)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_273 ),
inference(resolution,[],[f2639,f64]) ).
fof(f7905,plain,
( spl0_619
| ~ spl0_1
| ~ spl0_272 ),
inference(avatar_split_clause,[],[f2850,f2634,f62,f7903]) ).
fof(f7903,plain,
( spl0_619
<=> ! [X0] :
( sdtpldt0(X0,smndt0(smndt0(xx))) = sdtpldt0(smndt0(smndt0(xx)),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_619])]) ).
fof(f2850,plain,
( ! [X0] :
( sdtpldt0(X0,smndt0(smndt0(xx))) = sdtpldt0(smndt0(smndt0(xx)),X0)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_272 ),
inference(resolution,[],[f2635,f64]) ).
fof(f7901,plain,
( spl0_618
| ~ spl0_1
| ~ spl0_40
| ~ spl0_554 ),
inference(avatar_split_clause,[],[f6525,f6489,f341,f62,f7898]) ).
fof(f341,plain,
( spl0_40
<=> smndt0(xx) = sdtasdt0(xx,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f6525,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(smndt0(xx),sz00)
| ~ spl0_1
| ~ spl0_40
| ~ spl0_554 ),
inference(forward_demodulation,[],[f6516,f343]) ).
fof(f343,plain,
( smndt0(xx) = sdtasdt0(xx,smndt0(sz10))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f6516,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sdtasdt0(xx,smndt0(sz10)),sz00)
| ~ spl0_1
| ~ spl0_554 ),
inference(resolution,[],[f6490,f64]) ).
fof(f7896,plain,
( spl0_617
| ~ spl0_1
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f2838,f2630,f62,f7894]) ).
fof(f7894,plain,
( spl0_617
<=> ! [X0] :
( sdtasdt0(smndt0(xx),X0) = sdtpldt0(sdtasdt0(smndt0(xx),X0),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_617])]) ).
fof(f2838,plain,
( ! [X0] :
( sdtasdt0(smndt0(xx),X0) = sdtpldt0(sdtasdt0(smndt0(xx),X0),sz00)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_271 ),
inference(resolution,[],[f2631,f64]) ).
fof(f7892,plain,
( spl0_616
| ~ spl0_1
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f2831,f2626,f62,f7890]) ).
fof(f7890,plain,
( spl0_616
<=> ! [X0] :
( sdtasdt0(smndt0(xx),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(xx),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_616])]) ).
fof(f2831,plain,
( ! [X0] :
( sdtasdt0(smndt0(xx),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(xx),X0))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_270 ),
inference(resolution,[],[f2627,f64]) ).
fof(f7888,plain,
( spl0_615
| ~ spl0_1
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f2824,f2622,f62,f7886]) ).
fof(f7886,plain,
( spl0_615
<=> ! [X0] :
( sdtasdt0(smndt0(xx),X0) = sdtasdt0(sdtasdt0(smndt0(xx),X0),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_615])]) ).
fof(f2824,plain,
( ! [X0] :
( sdtasdt0(smndt0(xx),X0) = sdtasdt0(sdtasdt0(smndt0(xx),X0),sz10)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_269 ),
inference(resolution,[],[f2623,f64]) ).
fof(f7884,plain,
( spl0_614
| ~ spl0_1
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f2817,f2618,f62,f7882]) ).
fof(f7882,plain,
( spl0_614
<=> ! [X0] :
( sdtasdt0(smndt0(xx),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(xx),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_614])]) ).
fof(f2817,plain,
( ! [X0] :
( sdtasdt0(smndt0(xx),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(xx),X0))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_268 ),
inference(resolution,[],[f2619,f64]) ).
fof(f7880,plain,
( spl0_613
| ~ spl0_1
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f2810,f2613,f62,f7878]) ).
fof(f7878,plain,
( spl0_613
<=> ! [X0] :
( sdtpldt0(smndt0(xx),X0) = sdtpldt0(sdtpldt0(smndt0(xx),X0),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_613])]) ).
fof(f2810,plain,
( ! [X0] :
( sdtpldt0(smndt0(xx),X0) = sdtpldt0(sdtpldt0(smndt0(xx),X0),sz00)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_267 ),
inference(resolution,[],[f2614,f64]) ).
fof(f7876,plain,
( spl0_612
| ~ spl0_1
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f2803,f2609,f62,f7874]) ).
fof(f7874,plain,
( spl0_612
<=> ! [X0] :
( sdtpldt0(smndt0(xx),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(xx),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_612])]) ).
fof(f2803,plain,
( ! [X0] :
( sdtpldt0(smndt0(xx),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(xx),X0))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_266 ),
inference(resolution,[],[f2610,f64]) ).
fof(f7872,plain,
( spl0_611
| ~ spl0_1
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f2796,f2605,f62,f7870]) ).
fof(f7870,plain,
( spl0_611
<=> ! [X0] :
( sdtpldt0(smndt0(xx),X0) = sdtasdt0(sdtpldt0(smndt0(xx),X0),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_611])]) ).
fof(f2796,plain,
( ! [X0] :
( sdtpldt0(smndt0(xx),X0) = sdtasdt0(sdtpldt0(smndt0(xx),X0),sz10)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_265 ),
inference(resolution,[],[f2606,f64]) ).
fof(f7868,plain,
( spl0_610
| ~ spl0_1
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f2789,f2601,f62,f7866]) ).
fof(f7866,plain,
( spl0_610
<=> ! [X0] :
( sdtpldt0(smndt0(xx),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(xx),X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_610])]) ).
fof(f2789,plain,
( ! [X0] :
( sdtpldt0(smndt0(xx),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(xx),X0))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_264 ),
inference(resolution,[],[f2602,f64]) ).
fof(f7864,plain,
( spl0_609
| ~ spl0_1
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f2783,f2597,f62,f7862]) ).
fof(f7862,plain,
( spl0_609
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),sz10) = sdtasdt0(sz10,sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_609])]) ).
fof(f2783,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),sz10) = sdtasdt0(sz10,sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_263 ),
inference(resolution,[],[f2598,f64]) ).
fof(f7860,plain,
( spl0_608
| ~ spl0_1
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2777,f2593,f62,f7858]) ).
fof(f7858,plain,
( spl0_608
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz10) = sdtasdt0(sz10,sdtpldt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_608])]) ).
fof(f2777,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz10) = sdtasdt0(sz10,sdtpldt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_262 ),
inference(resolution,[],[f2594,f64]) ).
fof(f7856,plain,
( spl0_607
| ~ spl0_1
| ~ spl0_15
| ~ spl0_553 ),
inference(avatar_split_clause,[],[f6508,f6485,f138,f62,f7853]) ).
fof(f7853,plain,
( spl0_607
<=> xx = sdtpldt0(sdtpldt0(xx,smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_607])]) ).
fof(f138,plain,
( spl0_15
<=> xx = sdtpldt0(xx,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f6485,plain,
( spl0_553
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_553])]) ).
fof(f6508,plain,
( xx = sdtpldt0(sdtpldt0(xx,smndt0(sz10)),sz10)
| ~ spl0_1
| ~ spl0_15
| ~ spl0_553 ),
inference(forward_demodulation,[],[f6499,f140]) ).
fof(f140,plain,
( xx = sdtpldt0(xx,sz00)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f6499,plain,
( sdtpldt0(xx,sz00) = sdtpldt0(sdtpldt0(xx,smndt0(sz10)),sz10)
| ~ spl0_1
| ~ spl0_553 ),
inference(resolution,[],[f6486,f64]) ).
fof(f6486,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10) )
| ~ spl0_553 ),
inference(avatar_component_clause,[],[f6485]) ).
fof(f7851,plain,
( spl0_606
| ~ spl0_1
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f2766,f2589,f62,f7849]) ).
fof(f7849,plain,
( spl0_606
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),sz00) = sdtasdt0(sz00,sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_606])]) ).
fof(f2766,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),sz00) = sdtasdt0(sz00,sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_261 ),
inference(resolution,[],[f2590,f64]) ).
fof(f7847,plain,
( spl0_605
| ~ spl0_1
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f2760,f2585,f62,f7845]) ).
fof(f7845,plain,
( spl0_605
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz00) = sdtasdt0(sz00,sdtpldt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_605])]) ).
fof(f2760,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz00) = sdtasdt0(sz00,sdtpldt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_260 ),
inference(resolution,[],[f2586,f64]) ).
fof(f7843,plain,
( spl0_604
| ~ spl0_1
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f2754,f2581,f62,f7841]) ).
fof(f7841,plain,
( spl0_604
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),sz10) = sdtpldt0(sz10,sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_604])]) ).
fof(f2754,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),sz10) = sdtpldt0(sz10,sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_259 ),
inference(resolution,[],[f2582,f64]) ).
fof(f7839,plain,
( spl0_603
| ~ spl0_1
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f2748,f2577,f62,f7837]) ).
fof(f7837,plain,
( spl0_603
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sz10) = sdtpldt0(sz10,sdtpldt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_603])]) ).
fof(f2748,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sz10) = sdtpldt0(sz10,sdtpldt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_258 ),
inference(resolution,[],[f2578,f64]) ).
fof(f7835,plain,
( spl0_602
| ~ spl0_1
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f2742,f2568,f62,f7833]) ).
fof(f7833,plain,
( spl0_602
<=> ! [X0] :
( sdtpldt0(sz00,sdtasdt0(X0,xx)) = sdtpldt0(sdtasdt0(X0,xx),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_602])]) ).
fof(f2742,plain,
( ! [X0] :
( sdtpldt0(sz00,sdtasdt0(X0,xx)) = sdtpldt0(sdtasdt0(X0,xx),sz00)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_256 ),
inference(resolution,[],[f2569,f64]) ).
fof(f7831,plain,
( spl0_601
| ~ spl0_1
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f2736,f2564,f62,f7829]) ).
fof(f7829,plain,
( spl0_601
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sz00) = sdtpldt0(sz00,sdtpldt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_601])]) ).
fof(f2736,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sz00) = sdtpldt0(sz00,sdtpldt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_255 ),
inference(resolution,[],[f2565,f64]) ).
fof(f7827,plain,
( spl0_600
| ~ spl0_1
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f2730,f2560,f62,f7825]) ).
fof(f7825,plain,
( spl0_600
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,xx)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_600])]) ).
fof(f2730,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,xx)))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_254 ),
inference(resolution,[],[f2561,f64]) ).
fof(f7823,plain,
( spl0_599
| ~ spl0_1
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2724,f2556,f62,f7821]) ).
fof(f7821,plain,
( spl0_599
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,xx)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_599])]) ).
fof(f2724,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,xx)))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_253 ),
inference(resolution,[],[f2557,f64]) ).
fof(f7819,plain,
( spl0_598
| ~ spl0_1
| ~ spl0_252 ),
inference(avatar_split_clause,[],[f2718,f2552,f62,f7817]) ).
fof(f7817,plain,
( spl0_598
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtasdt0(smndt0(sdtasdt0(X0,xx)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_598])]) ).
fof(f2718,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtasdt0(smndt0(sdtasdt0(X0,xx)),sz10)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_252 ),
inference(resolution,[],[f2553,f64]) ).
fof(f7815,plain,
( spl0_597
| ~ spl0_1
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f2712,f2548,f62,f7813]) ).
fof(f7813,plain,
( spl0_597
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtasdt0(smndt0(sdtpldt0(X0,xx)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_597])]) ).
fof(f2712,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtasdt0(smndt0(sdtpldt0(X0,xx)),sz10)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_251 ),
inference(resolution,[],[f2549,f64]) ).
fof(f7811,plain,
( spl0_596
| ~ spl0_2
| ~ spl0_28
| ~ spl0_552 ),
inference(avatar_split_clause,[],[f6477,f6464,f267,f67,f7808]) ).
fof(f7808,plain,
( spl0_596
<=> sz10 = sdtpldt0(sdtpldt0(sz10,smndt0(xx)),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_596])]) ).
fof(f267,plain,
( spl0_28
<=> sz10 = sdtpldt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f6464,plain,
( spl0_552
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),xx)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_552])]) ).
fof(f6477,plain,
( sz10 = sdtpldt0(sdtpldt0(sz10,smndt0(xx)),xx)
| ~ spl0_2
| ~ spl0_28
| ~ spl0_552 ),
inference(forward_demodulation,[],[f6468,f269]) ).
fof(f269,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f6468,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sdtpldt0(sz10,smndt0(xx)),xx)
| ~ spl0_2
| ~ spl0_552 ),
inference(resolution,[],[f6465,f69]) ).
fof(f6465,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),xx) )
| ~ spl0_552 ),
inference(avatar_component_clause,[],[f6464]) ).
fof(f7806,plain,
( spl0_595
| ~ spl0_1
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f2705,f2544,f62,f7804]) ).
fof(f7804,plain,
( spl0_595
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,xx)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_595])]) ).
fof(f2705,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,xx)))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_250 ),
inference(resolution,[],[f2545,f64]) ).
fof(f7802,plain,
( spl0_594
| ~ spl0_1
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2699,f2540,f62,f7800]) ).
fof(f7800,plain,
( spl0_594
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,xx)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_594])]) ).
fof(f2699,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,xx)))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_249 ),
inference(resolution,[],[f2541,f64]) ).
fof(f7798,plain,
( spl0_593
| ~ spl0_1
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f2693,f2536,f62,f7796]) ).
fof(f7796,plain,
( spl0_593
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtpldt0(smndt0(sdtasdt0(X0,xx)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_593])]) ).
fof(f2693,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtpldt0(smndt0(sdtasdt0(X0,xx)),sz00)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_248 ),
inference(resolution,[],[f2537,f64]) ).
fof(f7794,plain,
( spl0_592
| ~ spl0_1
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f2687,f2532,f62,f7792]) ).
fof(f7792,plain,
( spl0_592
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtpldt0(smndt0(sdtpldt0(X0,xx)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_592])]) ).
fof(f2687,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtpldt0(smndt0(sdtpldt0(X0,xx)),sz00)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_247 ),
inference(resolution,[],[f2533,f64]) ).
fof(f7790,plain,
( spl0_591
| ~ spl0_3
| ~ spl0_71
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f2498,f2384,f611,f72,f7788]) ).
fof(f7788,plain,
( spl0_591
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,sz00),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_591])]) ).
fof(f2384,plain,
( spl0_242
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xx)) = sdtasdt0(sdtasdt0(X1,xx),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f2498,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,sz00),X0)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_71
| ~ spl0_242 ),
inference(forward_demodulation,[],[f2492,f613]) ).
fof(f2492,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(sz00,xx)) = sdtasdt0(sdtasdt0(sz00,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_242 ),
inference(resolution,[],[f2385,f74]) ).
fof(f2385,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,sdtasdt0(X1,xx)) = sdtasdt0(sdtasdt0(X1,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f2384]) ).
fof(f7786,plain,
( spl0_590
| ~ spl0_1
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f2497,f2384,f62,f7784]) ).
fof(f7784,plain,
( spl0_590
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xx),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_590])]) ).
fof(f2497,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_242 ),
inference(resolution,[],[f2385,f64]) ).
fof(f7782,plain,
( spl0_589
| ~ spl0_2
| ~ spl0_65
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f2491,f2380,f556,f67,f7780]) ).
fof(f7780,plain,
( spl0_589
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,sz10)) = sdtasdt0(sdtpldt0(xx,sz10),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_589])]) ).
fof(f556,plain,
( spl0_65
<=> sdtpldt0(sz10,xx) = sdtpldt0(xx,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f2380,plain,
( spl0_241
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtasdt0(sdtpldt0(X1,xx),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2491,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,sz10)) = sdtasdt0(sdtpldt0(xx,sz10),X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_65
| ~ spl0_241 ),
inference(forward_demodulation,[],[f2485,f558]) ).
fof(f558,plain,
( sdtpldt0(sz10,xx) = sdtpldt0(xx,sz10)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f2485,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xx)) = sdtasdt0(sdtpldt0(sz10,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_241 ),
inference(resolution,[],[f2381,f69]) ).
fof(f2381,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtasdt0(sdtpldt0(X1,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f2380]) ).
fof(f7778,plain,
( spl0_588
| ~ spl0_1
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f2489,f2380,f62,f7776]) ).
fof(f7776,plain,
( spl0_588
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_588])]) ).
fof(f2489,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_241 ),
inference(resolution,[],[f2381,f64]) ).
fof(f7774,plain,
( spl0_587
| ~ spl0_3
| ~ spl0_71
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f2482,f2376,f611,f72,f7772]) ).
fof(f7772,plain,
( spl0_587
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,sz00)) = sdtpldt0(sdtasdt0(xx,sz00),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_587])]) ).
fof(f2376,plain,
( spl0_240
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xx)) = sdtpldt0(sdtasdt0(X1,xx),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2482,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,sz00)) = sdtpldt0(sdtasdt0(xx,sz00),X0)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_71
| ~ spl0_240 ),
inference(forward_demodulation,[],[f2476,f613]) ).
fof(f2476,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(sz00,xx)) = sdtpldt0(sdtasdt0(sz00,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_240 ),
inference(resolution,[],[f2377,f74]) ).
fof(f2377,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,sdtasdt0(X1,xx)) = sdtpldt0(sdtasdt0(X1,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f7770,plain,
( spl0_586
| ~ spl0_1
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f2481,f2376,f62,f7768]) ).
fof(f7768,plain,
( spl0_586
<=> ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_586])]) ).
fof(f2481,plain,
( ! [X0] :
( sdtpldt0(X0,sdtasdt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_240 ),
inference(resolution,[],[f2377,f64]) ).
fof(f7214,plain,
( spl0_585
| ~ spl0_2
| ~ spl0_65
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f2475,f2372,f556,f67,f7212]) ).
fof(f7212,plain,
( spl0_585
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(xx,sz10),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_585])]) ).
fof(f2372,plain,
( spl0_239
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtpldt0(X1,xx),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f2475,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(xx,sz10),X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_65
| ~ spl0_239 ),
inference(forward_demodulation,[],[f2469,f558]) ).
fof(f2469,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(sz10,xx)) = sdtpldt0(sdtpldt0(sz10,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_239 ),
inference(resolution,[],[f2373,f69]) ).
fof(f2373,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtpldt0(X1,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f2372]) ).
fof(f7210,plain,
( spl0_584
| ~ spl0_1
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f2473,f2372,f62,f7208]) ).
fof(f7208,plain,
( spl0_584
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xx),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_584])]) ).
fof(f2473,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,xx),X0)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_239 ),
inference(resolution,[],[f2373,f64]) ).
fof(f7206,plain,
( spl0_583
| ~ spl0_1
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f2429,f2355,f62,f7203]) ).
fof(f2355,plain,
( spl0_235
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f2429,plain,
( sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_235 ),
inference(resolution,[],[f2356,f64]) ).
fof(f2356,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xx)) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f2355]) ).
fof(f7201,plain,
( spl0_582
| ~ spl0_1
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f2418,f2351,f62,f7199]) ).
fof(f7199,plain,
( spl0_582
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(xx,sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_582])]) ).
fof(f2351,plain,
( spl0_234
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(xx,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f2418,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(xx,sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_234 ),
inference(resolution,[],[f2352,f64]) ).
fof(f2352,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(xx,sdtasdt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f7197,plain,
( spl0_581
| ~ spl0_2
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f2414,f2351,f67,f7195]) ).
fof(f7195,plain,
( spl0_581
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),xx) = sdtasdt0(xx,sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_581])]) ).
fof(f2414,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),xx) = sdtasdt0(xx,sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_234 ),
inference(resolution,[],[f2352,f69]) ).
fof(f7193,plain,
( spl0_580
| ~ spl0_3
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f2413,f2351,f72,f7191]) ).
fof(f7191,plain,
( spl0_580
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xx) = sdtasdt0(xx,sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_580])]) ).
fof(f2413,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xx) = sdtasdt0(xx,sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_234 ),
inference(resolution,[],[f2352,f74]) ).
fof(f7189,plain,
( spl0_579
| ~ spl0_1
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f2412,f2347,f62,f7187]) ).
fof(f7187,plain,
( spl0_579
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xx) = sdtasdt0(xx,sdtpldt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_579])]) ).
fof(f2347,plain,
( spl0_233
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xx) = sdtasdt0(xx,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f2412,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),xx) = sdtasdt0(xx,sdtpldt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_233 ),
inference(resolution,[],[f2348,f64]) ).
fof(f2348,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sdtpldt0(X0,X1),xx) = sdtasdt0(xx,sdtpldt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f7185,plain,
( spl0_578
| ~ spl0_2
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f2408,f2347,f67,f7183]) ).
fof(f7183,plain,
( spl0_578
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xx) = sdtasdt0(xx,sdtpldt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_578])]) ).
fof(f2408,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xx) = sdtasdt0(xx,sdtpldt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_233 ),
inference(resolution,[],[f2348,f69]) ).
fof(f7181,plain,
( spl0_577
| ~ spl0_3
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f2407,f2347,f72,f7179]) ).
fof(f7179,plain,
( spl0_577
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xx) = sdtasdt0(xx,sdtpldt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_577])]) ).
fof(f2407,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xx) = sdtasdt0(xx,sdtpldt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_233 ),
inference(resolution,[],[f2348,f74]) ).
fof(f7177,plain,
( spl0_576
| ~ spl0_1
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f2406,f2343,f62,f7175]) ).
fof(f7175,plain,
( spl0_576
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xx) = sdtpldt0(xx,sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_576])]) ).
fof(f2343,plain,
( spl0_232
<=> ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xx) = sdtpldt0(xx,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f2406,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,xx),xx) = sdtpldt0(xx,sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_232 ),
inference(resolution,[],[f2344,f64]) ).
fof(f2344,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X0,X1),xx) = sdtpldt0(xx,sdtasdt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f2343]) ).
fof(f6611,plain,
( spl0_575
| ~ spl0_2
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f2402,f2343,f67,f6609]) ).
fof(f6609,plain,
( spl0_575
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),xx) = sdtpldt0(xx,sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_575])]) ).
fof(f2402,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),xx) = sdtpldt0(xx,sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_232 ),
inference(resolution,[],[f2344,f69]) ).
fof(f6607,plain,
( spl0_574
| ~ spl0_3
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f2401,f2343,f72,f6605]) ).
fof(f6605,plain,
( spl0_574
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),xx) = sdtpldt0(xx,sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_574])]) ).
fof(f2401,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz00),xx) = sdtpldt0(xx,sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_232 ),
inference(resolution,[],[f2344,f74]) ).
fof(f6603,plain,
( spl0_573
| ~ spl0_1
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f2400,f2339,f62,f6601]) ).
fof(f6601,plain,
( spl0_573
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(xx,sdtpldt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_573])]) ).
fof(f2339,plain,
( spl0_231
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(xx,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f2400,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(xx,sdtpldt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_231 ),
inference(resolution,[],[f2340,f64]) ).
fof(f2340,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(xx,sdtpldt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f6599,plain,
( spl0_572
| ~ spl0_2
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f2396,f2339,f67,f6597]) ).
fof(f6597,plain,
( spl0_572
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(xx,sdtpldt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_572])]) ).
fof(f2396,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(xx,sdtpldt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_231 ),
inference(resolution,[],[f2340,f69]) ).
fof(f6595,plain,
( spl0_571
| ~ spl0_3
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f2395,f2339,f72,f6593]) ).
fof(f6593,plain,
( spl0_571
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),xx) = sdtpldt0(xx,sdtpldt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_571])]) ).
fof(f2395,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),xx) = sdtpldt0(xx,sdtpldt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_231 ),
inference(resolution,[],[f2340,f74]) ).
fof(f6591,plain,
( spl0_570
| ~ spl0_6
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f1295,f1177,f86,f6589]) ).
fof(f6589,plain,
( spl0_570
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(sdtasdt0(smndt0(X0),xx),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_570])]) ).
fof(f1177,plain,
( spl0_136
<=> ! [X0] :
( sdtasdt0(X0,xx) = sdtasdt0(sdtasdt0(X0,xx),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1295,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(sdtasdt0(smndt0(X0),xx),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_136 ),
inference(resolution,[],[f1178,f87]) ).
fof(f1178,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(sdtasdt0(X0,xx),sz10) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1177]) ).
fof(f6587,plain,
( spl0_569
| ~ spl0_6
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f1287,f1173,f86,f6585]) ).
fof(f6585,plain,
( spl0_569
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(sdtpldt0(smndt0(X0),xx),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_569])]) ).
fof(f1173,plain,
( spl0_135
<=> ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,xx),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1287,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(sdtpldt0(smndt0(X0),xx),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_135 ),
inference(resolution,[],[f1174,f87]) ).
fof(f1174,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,xx),sz00) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f6583,plain,
( spl0_568
| ~ spl0_6
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f1281,f1169,f86,f6581]) ).
fof(f6581,plain,
( spl0_568
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),xx)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_568])]) ).
fof(f1169,plain,
( spl0_134
<=> ! [X0] :
( sdtasdt0(X0,xx) = sdtasdt0(sdtasdt0(X0,sz10),xx)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1281,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(sdtasdt0(smndt0(X0),sz10),xx)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_134 ),
inference(resolution,[],[f1170,f87]) ).
fof(f1170,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(sdtasdt0(X0,sz10),xx) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f6579,plain,
( spl0_567
| ~ spl0_6
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1275,f1165,f86,f6577]) ).
fof(f6577,plain,
( spl0_567
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),xx)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_567])]) ).
fof(f1165,plain,
( spl0_133
<=> ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,sz00),xx)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1275,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(sdtpldt0(smndt0(X0),sz00),xx)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_133 ),
inference(resolution,[],[f1166,f87]) ).
fof(f1166,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,sz00),xx) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f6575,plain,
( spl0_566
| ~ spl0_6
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1268,f1161,f86,f6573]) ).
fof(f6573,plain,
( spl0_566
<=> ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xx)) = sdtasdt0(smndt0(xx),smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_566])]) ).
fof(f1161,plain,
( spl0_132
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(xx)) = sdtasdt0(smndt0(xx),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1268,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),smndt0(xx)) = sdtasdt0(smndt0(xx),smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_132 ),
inference(resolution,[],[f1162,f87]) ).
fof(f1162,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(xx)) = sdtasdt0(smndt0(xx),X0) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f6571,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_13
| spl0_542 ),
inference(avatar_split_clause,[],[f6459,f6406,f130,f67,f62]) ).
fof(f6459,plain,
( ~ aElement0(sz10)
| ~ aElement0(xx)
| ~ spl0_13
| spl0_542 ),
inference(resolution,[],[f6408,f131]) ).
fof(f6408,plain,
( ~ aElement0(sdtpldt0(xx,sz10))
| spl0_542 ),
inference(avatar_component_clause,[],[f6406]) ).
fof(f6570,plain,
( spl0_565
| ~ spl0_6
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1260,f1157,f86,f6568]) ).
fof(f6568,plain,
( spl0_565
<=> ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xx)) = sdtpldt0(smndt0(xx),smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_565])]) ).
fof(f1157,plain,
( spl0_131
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(xx)) = sdtpldt0(smndt0(xx),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1260,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),smndt0(xx)) = sdtpldt0(smndt0(xx),smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_131 ),
inference(resolution,[],[f1158,f87]) ).
fof(f1158,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(xx)) = sdtpldt0(smndt0(xx),X0) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f6566,plain,
( spl0_564
| ~ spl0_6
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1248,f1153,f86,f6564]) ).
fof(f6564,plain,
( spl0_564
<=> ! [X0] :
( sdtasdt0(xx,smndt0(X0)) = sdtpldt0(sdtasdt0(xx,smndt0(X0)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_564])]) ).
fof(f1153,plain,
( spl0_130
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtpldt0(sdtasdt0(xx,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1248,plain,
( ! [X0] :
( sdtasdt0(xx,smndt0(X0)) = sdtpldt0(sdtasdt0(xx,smndt0(X0)),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_130 ),
inference(resolution,[],[f1154,f87]) ).
fof(f1154,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtpldt0(sdtasdt0(xx,X0),sz00) )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f6562,plain,
( spl0_563
| ~ spl0_6
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1241,f1149,f86,f6560]) ).
fof(f6560,plain,
( spl0_563
<=> ! [X0] :
( sdtasdt0(xx,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(xx,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_563])]) ).
fof(f1149,plain,
( spl0_129
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtpldt0(sz00,sdtasdt0(xx,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1241,plain,
( ! [X0] :
( sdtasdt0(xx,smndt0(X0)) = sdtpldt0(sz00,sdtasdt0(xx,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_129 ),
inference(resolution,[],[f1150,f87]) ).
fof(f1150,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtpldt0(sz00,sdtasdt0(xx,X0)) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f6558,plain,
( spl0_562
| ~ spl0_6
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1234,f1145,f86,f6556]) ).
fof(f6556,plain,
( spl0_562
<=> ! [X0] :
( sdtasdt0(xx,smndt0(X0)) = sdtasdt0(sdtasdt0(xx,smndt0(X0)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_562])]) ).
fof(f1145,plain,
( spl0_128
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtasdt0(sdtasdt0(xx,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1234,plain,
( ! [X0] :
( sdtasdt0(xx,smndt0(X0)) = sdtasdt0(sdtasdt0(xx,smndt0(X0)),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_128 ),
inference(resolution,[],[f1146,f87]) ).
fof(f1146,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtasdt0(sdtasdt0(xx,X0),sz10) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f6554,plain,
( spl0_561
| ~ spl0_6
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1227,f1141,f86,f6552]) ).
fof(f6552,plain,
( spl0_561
<=> ! [X0] :
( sdtasdt0(xx,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(xx,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_561])]) ).
fof(f1141,plain,
( spl0_127
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtasdt0(sz10,sdtasdt0(xx,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1227,plain,
( ! [X0] :
( sdtasdt0(xx,smndt0(X0)) = sdtasdt0(sz10,sdtasdt0(xx,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_127 ),
inference(resolution,[],[f1142,f87]) ).
fof(f1142,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtasdt0(sz10,sdtasdt0(xx,X0)) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f6550,plain,
( spl0_560
| ~ spl0_6
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1220,f1137,f86,f6548]) ).
fof(f6548,plain,
( spl0_560
<=> ! [X0] :
( sdtpldt0(xx,smndt0(X0)) = sdtpldt0(sdtpldt0(xx,smndt0(X0)),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_560])]) ).
fof(f1137,plain,
( spl0_126
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtpldt0(sdtpldt0(xx,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1220,plain,
( ! [X0] :
( sdtpldt0(xx,smndt0(X0)) = sdtpldt0(sdtpldt0(xx,smndt0(X0)),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_126 ),
inference(resolution,[],[f1138,f87]) ).
fof(f1138,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtpldt0(sdtpldt0(xx,X0),sz00) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f6546,plain,
( spl0_559
| ~ spl0_6
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1213,f1133,f86,f6544]) ).
fof(f6544,plain,
( spl0_559
<=> ! [X0] :
( sdtpldt0(xx,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(xx,smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_559])]) ).
fof(f1133,plain,
( spl0_125
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtpldt0(sz00,sdtpldt0(xx,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1213,plain,
( ! [X0] :
( sdtpldt0(xx,smndt0(X0)) = sdtpldt0(sz00,sdtpldt0(xx,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_125 ),
inference(resolution,[],[f1134,f87]) ).
fof(f1134,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtpldt0(sz00,sdtpldt0(xx,X0)) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f6542,plain,
( spl0_558
| ~ spl0_6
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1206,f1129,f86,f6540]) ).
fof(f6540,plain,
( spl0_558
<=> ! [X0] :
( sdtpldt0(xx,smndt0(X0)) = sdtasdt0(sdtpldt0(xx,smndt0(X0)),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_558])]) ).
fof(f1129,plain,
( spl0_124
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtasdt0(sdtpldt0(xx,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1206,plain,
( ! [X0] :
( sdtpldt0(xx,smndt0(X0)) = sdtasdt0(sdtpldt0(xx,smndt0(X0)),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_124 ),
inference(resolution,[],[f1130,f87]) ).
fof(f1130,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtasdt0(sdtpldt0(xx,X0),sz10) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f6538,plain,
( spl0_557
| ~ spl0_6
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1199,f1125,f86,f6536]) ).
fof(f1125,plain,
( spl0_123
<=> ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtasdt0(sz10,sdtpldt0(xx,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1199,plain,
( ! [X0] :
( sdtpldt0(xx,smndt0(X0)) = sdtasdt0(sz10,sdtpldt0(xx,smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_123 ),
inference(resolution,[],[f1126,f87]) ).
fof(f1126,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtasdt0(sz10,sdtpldt0(xx,X0)) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f6534,plain,
( spl0_556
| ~ spl0_6
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1191,f1121,f86,f6532]) ).
fof(f1121,plain,
( spl0_122
<=> ! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(xx,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1191,plain,
( ! [X0] :
( sdtasdt0(smndt0(smndt0(X0)),xx) = sdtasdt0(xx,smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_122 ),
inference(resolution,[],[f1122,f87]) ).
fof(f1122,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X0),xx) = sdtasdt0(xx,smndt0(X0)) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f6529,plain,
( spl0_555
| ~ spl0_6
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1182,f1117,f86,f6527]) ).
fof(f1117,plain,
( spl0_121
<=> ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(xx,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1182,plain,
( ! [X0] :
( sdtpldt0(smndt0(smndt0(X0)),xx) = sdtpldt0(xx,smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_121 ),
inference(resolution,[],[f1118,f87]) ).
fof(f1118,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X0),xx) = sdtpldt0(xx,smndt0(X0)) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f1117]) ).
fof(f6491,plain,
( spl0_554
| ~ spl0_2
| ~ spl0_41
| ~ spl0_55
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f3236,f3135,f433,f348,f67,f6489]) ).
fof(f348,plain,
( spl0_41
<=> smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f433,plain,
( spl0_55
<=> sz00 = smndt0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f3135,plain,
( spl0_311
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz00) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz00))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f3236,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_41
| ~ spl0_55
| ~ spl0_311 ),
inference(forward_demodulation,[],[f3235,f435]) ).
fof(f435,plain,
( sz00 = smndt0(sz00)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f3235,plain,
( ! [X0] :
( sdtasdt0(X0,smndt0(sz00)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_41
| ~ spl0_311 ),
inference(forward_demodulation,[],[f3229,f350]) ).
fof(f350,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f3229,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(sz10)),sz00) = sdtasdt0(X0,sdtasdt0(smndt0(sz10),sz00)) )
| ~ spl0_2
| ~ spl0_311 ),
inference(resolution,[],[f3136,f69]) ).
fof(f3136,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz00) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz00)) )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f3135]) ).
fof(f6487,plain,
( spl0_553
| ~ spl0_2
| ~ spl0_38
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f3221,f3131,f327,f67,f6485]) ).
fof(f327,plain,
( spl0_38
<=> sz00 = sdtpldt0(smndt0(sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f3131,plain,
( spl0_310
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz10) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f3221,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_38
| ~ spl0_310 ),
inference(forward_demodulation,[],[f3214,f329]) ).
fof(f329,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f3214,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(sz10)),sz10) = sdtpldt0(X0,sdtpldt0(smndt0(sz10),sz10)) )
| ~ spl0_2
| ~ spl0_310 ),
inference(resolution,[],[f3132,f69]) ).
fof(f3132,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz10) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz10)) )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f6466,plain,
( spl0_552
| ~ spl0_1
| ~ spl0_34
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f3066,f3041,f305,f62,f6464]) ).
fof(f3041,plain,
( spl0_296
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xx))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f3066,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,smndt0(xx)),xx)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_34
| ~ spl0_296 ),
inference(forward_demodulation,[],[f3062,f307]) ).
fof(f3062,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(xx)),xx) = sdtpldt0(X0,sdtpldt0(smndt0(xx),xx)) )
| ~ spl0_1
| ~ spl0_296 ),
inference(resolution,[],[f3042,f64]) ).
fof(f3042,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xx)) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f6455,plain,
( spl0_551
| ~ spl0_3
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2273,f2150,f72,f6452]) ).
fof(f6452,plain,
( spl0_551
<=> sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_551])]) ).
fof(f2150,plain,
( spl0_223
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2273,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_223 ),
inference(resolution,[],[f2151,f74]) ).
fof(f2151,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00)) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f2150]) ).
fof(f6450,plain,
( spl0_550
| ~ spl0_3
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f2266,f2146,f72,f6447]) ).
fof(f6447,plain,
( spl0_550
<=> sdtasdt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_550])]) ).
fof(f2146,plain,
( spl0_222
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(X0,sdtasdt0(sz00,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f2266,plain,
( sdtasdt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_222 ),
inference(resolution,[],[f2147,f74]) ).
fof(f2147,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(X0,sdtasdt0(sz00,sz00)) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f6445,plain,
( spl0_549
| ~ spl0_2
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2260,f2142,f67,f6442]) ).
fof(f2142,plain,
( spl0_221
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f2260,plain,
( sdtpldt0(sdtpldt0(sz10,sz10),sz10) = sdtpldt0(sz10,sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_221 ),
inference(resolution,[],[f2143,f69]) ).
fof(f2143,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10)) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f6439,plain,
( spl0_548
| ~ spl0_3
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f2243,f2134,f72,f6436]) ).
fof(f6436,plain,
( spl0_548
<=> smndt0(sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(sz00,sz00),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_548])]) ).
fof(f2134,plain,
( spl0_219
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2243,plain,
( smndt0(sdtasdt0(sz00,sz00)) = sdtasdt0(sdtasdt0(sz00,sz00),smndt0(sz10))
| ~ spl0_3
| ~ spl0_219 ),
inference(resolution,[],[f2135,f74]) ).
fof(f2135,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10)) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f2134]) ).
fof(f6434,plain,
( spl0_547
| ~ spl0_2
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f2237,f2130,f67,f6431]) ).
fof(f2130,plain,
( spl0_218
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2237,plain,
( smndt0(sdtpldt0(sz10,sz10)) = sdtasdt0(sdtpldt0(sz10,sz10),smndt0(sz10))
| ~ spl0_2
| ~ spl0_218 ),
inference(resolution,[],[f2131,f69]) ).
fof(f2131,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sdtpldt0(X0,sz10),smndt0(sz10)) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f6428,plain,
( spl0_546
| ~ spl0_3
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f2206,f2118,f72,f6425]) ).
fof(f6425,plain,
( spl0_546
<=> smndt0(sdtasdt0(sz00,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_546])]) ).
fof(f2118,plain,
( spl0_215
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f2206,plain,
( smndt0(sdtasdt0(sz00,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_215 ),
inference(resolution,[],[f2119,f74]) ).
fof(f2119,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz00)) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f6423,plain,
( spl0_545
| ~ spl0_2
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f2200,f2109,f67,f6420]) ).
fof(f6420,plain,
( spl0_545
<=> smndt0(sdtpldt0(sz10,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_545])]) ).
fof(f2109,plain,
( spl0_213
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f2200,plain,
( smndt0(sdtpldt0(sz10,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_213 ),
inference(resolution,[],[f2110,f69]) ).
fof(f2110,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz10)) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f2109]) ).
fof(f6418,plain,
( spl0_544
| ~ spl0_2
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f2183,f2101,f67,f6415]) ).
fof(f6415,plain,
( spl0_544
<=> smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_544])]) ).
fof(f2101,plain,
( spl0_211
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(X0)),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f2183,plain,
( smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl0_2
| ~ spl0_211 ),
inference(resolution,[],[f2102,f69]) ).
fof(f2102,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(X0)),smndt0(sz10)) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f2101]) ).
fof(f6413,plain,
( ~ spl0_542
| ~ spl0_3
| spl0_543
| ~ spl0_14
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f4862,f4346,f134,f6410,f72,f6406]) ).
fof(f4862,plain,
( aElement0(sdtasdt0(xx,sz00))
| ~ aElement0(sz00)
| ~ aElement0(sdtpldt0(xx,sz10))
| ~ spl0_14
| ~ spl0_426 ),
inference(superposition,[],[f135,f4348]) ).
fof(f6404,plain,
( spl0_541
| ~ spl0_2
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2175,f2097,f67,f6401]) ).
fof(f6401,plain,
( spl0_541
<=> smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_541])]) ).
fof(f2097,plain,
( spl0_210
<=> ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2175,plain,
( smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_210 ),
inference(resolution,[],[f2098,f69]) ).
fof(f2098,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(X0))) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f6383,plain,
( spl0_540
| ~ spl0_1
| ~ spl0_221
| ~ spl0_519 ),
inference(avatar_split_clause,[],[f5157,f5153,f2142,f62,f6380]) ).
fof(f6380,plain,
( spl0_540
<=> sdtpldt0(sz10,sdtpldt0(xx,sz10)) = sdtpldt0(xx,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_540])]) ).
fof(f5153,plain,
( spl0_519
<=> sdtpldt0(sz10,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(xx,sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_519])]) ).
fof(f5157,plain,
( sdtpldt0(sz10,sdtpldt0(xx,sz10)) = sdtpldt0(xx,sdtpldt0(sz10,sz10))
| ~ spl0_1
| ~ spl0_221
| ~ spl0_519 ),
inference(forward_demodulation,[],[f5155,f2264]) ).
fof(f2264,plain,
( sdtpldt0(sdtpldt0(xx,sz10),sz10) = sdtpldt0(xx,sdtpldt0(sz10,sz10))
| ~ spl0_1
| ~ spl0_221 ),
inference(resolution,[],[f2143,f64]) ).
fof(f5155,plain,
( sdtpldt0(sz10,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(xx,sz10),sz10)
| ~ spl0_519 ),
inference(avatar_component_clause,[],[f5153]) ).
fof(f6374,plain,
( spl0_539
| ~ spl0_2
| ~ spl0_27
| ~ spl0_221
| ~ spl0_227
| ~ spl0_257
| ~ spl0_499 ),
inference(avatar_split_clause,[],[f5700,f5047,f2572,f2167,f2142,f262,f67,f6371]) ).
fof(f262,plain,
( spl0_27
<=> sz00 = sdtpldt0(sz00,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f2167,plain,
( spl0_227
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f5700,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00)
| ~ spl0_2
| ~ spl0_27
| ~ spl0_221
| ~ spl0_227
| ~ spl0_257
| ~ spl0_499 ),
inference(forward_demodulation,[],[f5699,f264]) ).
fof(f264,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f5699,plain,
( sdtpldt0(sz00,sz00) = sdtasdt0(sdtpldt0(sz10,sdtpldt0(sz10,sz10)),sz00)
| ~ spl0_2
| ~ spl0_221
| ~ spl0_227
| ~ spl0_257
| ~ spl0_499 ),
inference(forward_demodulation,[],[f5698,f2260]) ).
fof(f5698,plain,
( sdtpldt0(sz00,sz00) = sdtasdt0(sdtpldt0(sdtpldt0(sz10,sz10),sz10),sz00)
| ~ spl0_227
| ~ spl0_257
| ~ spl0_499 ),
inference(forward_demodulation,[],[f5380,f2574]) ).
fof(f5380,plain,
( sdtasdt0(sdtpldt0(sdtpldt0(sz10,sz10),sz10),sz00) = sdtpldt0(sdtasdt0(sdtpldt0(sz10,sz10),sz00),sz00)
| ~ spl0_227
| ~ spl0_499 ),
inference(resolution,[],[f5048,f2168]) ).
fof(f2168,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f6363,plain,
( spl0_538
| ~ spl0_1
| ~ spl0_197
| ~ spl0_506 ),
inference(avatar_split_clause,[],[f5086,f5082,f1924,f62,f6360]) ).
fof(f6360,plain,
( spl0_538
<=> sdtasdt0(sz00,sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_538])]) ).
fof(f1924,plain,
( spl0_197
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xx) = sdtasdt0(X0,sdtasdt0(xx,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f5082,plain,
( spl0_506
<=> sdtasdt0(sz00,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,sz00),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_506])]) ).
fof(f5086,plain,
( sdtasdt0(sz00,sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtasdt0(xx,sz00))
| ~ spl0_1
| ~ spl0_197
| ~ spl0_506 ),
inference(forward_demodulation,[],[f5084,f2001]) ).
fof(f2001,plain,
( sdtasdt0(sdtasdt0(xx,sz00),xx) = sdtasdt0(xx,sdtasdt0(xx,sz00))
| ~ spl0_1
| ~ spl0_197 ),
inference(resolution,[],[f1925,f64]) ).
fof(f1925,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,sz00),xx) = sdtasdt0(X0,sdtasdt0(xx,sz00)) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f5084,plain,
( sdtasdt0(sz00,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,sz00),xx)
| ~ spl0_506 ),
inference(avatar_component_clause,[],[f5082]) ).
fof(f5814,plain,
( spl0_537
| ~ spl0_1
| ~ spl0_194
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f5065,f5061,f1911,f62,f5811]) ).
fof(f5811,plain,
( spl0_537
<=> sdtpldt0(sz10,sdtpldt0(xx,xx)) = sdtpldt0(xx,sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_537])]) ).
fof(f1911,plain,
( spl0_194
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(X0,sdtpldt0(xx,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f5061,plain,
( spl0_502
<=> sdtpldt0(sz10,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,sz10),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_502])]) ).
fof(f5065,plain,
( sdtpldt0(sz10,sdtpldt0(xx,xx)) = sdtpldt0(xx,sdtpldt0(xx,sz10))
| ~ spl0_1
| ~ spl0_194
| ~ spl0_502 ),
inference(forward_demodulation,[],[f5063,f1985]) ).
fof(f1985,plain,
( sdtpldt0(sdtpldt0(xx,sz10),xx) = sdtpldt0(xx,sdtpldt0(xx,sz10))
| ~ spl0_1
| ~ spl0_194 ),
inference(resolution,[],[f1912,f64]) ).
fof(f1912,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(X0,sdtpldt0(xx,sz10)) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f5063,plain,
( sdtpldt0(sz10,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,sz10),xx)
| ~ spl0_502 ),
inference(avatar_component_clause,[],[f5061]) ).
fof(f5808,plain,
( spl0_536
| ~ spl0_1
| ~ spl0_25
| ~ spl0_236
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f2512,f2388,f2359,f248,f62,f5805]) ).
fof(f5805,plain,
( spl0_536
<=> sdtpldt0(sdtasdt0(xx,xx),xx) = sdtpldt0(xx,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_536])]) ).
fof(f248,plain,
( spl0_25
<=> xx = sdtasdt0(xx,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f2359,plain,
( spl0_236
<=> ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f2388,plain,
( spl0_243
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,sz10)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f2512,plain,
( sdtpldt0(sdtasdt0(xx,xx),xx) = sdtpldt0(xx,sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_25
| ~ spl0_236
| ~ spl0_243 ),
inference(forward_demodulation,[],[f2511,f2445]) ).
fof(f2445,plain,
( sdtasdt0(xx,sdtpldt0(xx,sz10)) = sdtpldt0(xx,sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_25
| ~ spl0_236 ),
inference(forward_demodulation,[],[f2438,f250]) ).
fof(f250,plain,
( xx = sdtasdt0(xx,sz10)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f2438,plain,
( sdtpldt0(sdtasdt0(xx,sz10),sdtasdt0(xx,xx)) = sdtasdt0(xx,sdtpldt0(xx,sz10))
| ~ spl0_1
| ~ spl0_236 ),
inference(resolution,[],[f2360,f64]) ).
fof(f2360,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sz10)) )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f2511,plain,
( sdtpldt0(sdtasdt0(xx,xx),xx) = sdtasdt0(xx,sdtpldt0(xx,sz10))
| ~ spl0_1
| ~ spl0_25
| ~ spl0_243 ),
inference(forward_demodulation,[],[f2505,f250]) ).
fof(f2505,plain,
( sdtasdt0(xx,sdtpldt0(xx,sz10)) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,sz10))
| ~ spl0_1
| ~ spl0_243 ),
inference(resolution,[],[f2389,f64]) ).
fof(f2389,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(xx,sz10)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz10)) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f5803,plain,
( spl0_535
| ~ spl0_1
| ~ spl0_235
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2467,f2367,f2355,f62,f5800]) ).
fof(f5800,plain,
( spl0_535
<=> sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_535])]) ).
fof(f2367,plain,
( spl0_238
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xx)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f2467,plain,
( sdtasdt0(xx,sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xx)
| ~ spl0_1
| ~ spl0_235
| ~ spl0_238 ),
inference(forward_demodulation,[],[f2462,f2429]) ).
fof(f2462,plain,
( sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),xx)
| ~ spl0_1
| ~ spl0_238 ),
inference(resolution,[],[f2368,f64]) ).
fof(f2368,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xx)) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f2367]) ).
fof(f5798,plain,
( spl0_534
| ~ spl0_2
| ~ spl0_26
| ~ spl0_65
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f2466,f2367,f556,f253,f67,f5795]) ).
fof(f5795,plain,
( spl0_534
<=> sdtasdt0(sdtpldt0(xx,sz10),xx) = sdtpldt0(xx,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_534])]) ).
fof(f253,plain,
( spl0_26
<=> xx = sdtasdt0(sz10,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2466,plain,
( sdtasdt0(sdtpldt0(xx,sz10),xx) = sdtpldt0(xx,sdtasdt0(xx,xx))
| ~ spl0_2
| ~ spl0_26
| ~ spl0_65
| ~ spl0_238 ),
inference(forward_demodulation,[],[f2465,f558]) ).
fof(f2465,plain,
( sdtpldt0(xx,sdtasdt0(xx,xx)) = sdtasdt0(sdtpldt0(sz10,xx),xx)
| ~ spl0_2
| ~ spl0_26
| ~ spl0_238 ),
inference(forward_demodulation,[],[f2458,f255]) ).
fof(f255,plain,
( xx = sdtasdt0(sz10,xx)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f2458,plain,
( sdtasdt0(sdtpldt0(sz10,xx),xx) = sdtpldt0(sdtasdt0(sz10,xx),sdtasdt0(xx,xx))
| ~ spl0_2
| ~ spl0_238 ),
inference(resolution,[],[f2368,f69]) ).
fof(f5793,plain,
( spl0_533
| ~ spl0_1
| ~ spl0_25
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f2445,f2359,f248,f62,f5790]) ).
fof(f5790,plain,
( spl0_533
<=> sdtasdt0(xx,sdtpldt0(xx,sz10)) = sdtpldt0(xx,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_533])]) ).
fof(f5788,plain,
( spl0_532
| ~ spl0_1
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2278,f2150,f62,f5785]) ).
fof(f2278,plain,
( sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz00))
| ~ spl0_1
| ~ spl0_223 ),
inference(resolution,[],[f2151,f64]) ).
fof(f5782,plain,
( spl0_531
| ~ spl0_481
| ~ spl0_530 ),
inference(avatar_split_clause,[],[f5777,f5773,f4924,f5779]) ).
fof(f5773,plain,
( spl0_530
<=> sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(xx,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_530])]) ).
fof(f5777,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sdtasdt0(xx,sz00),sz00)
| ~ spl0_481
| ~ spl0_530 ),
inference(forward_demodulation,[],[f5775,f4926]) ).
fof(f5775,plain,
( sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(xx,sdtasdt0(sz00,sz00))
| ~ spl0_530 ),
inference(avatar_component_clause,[],[f5773]) ).
fof(f5776,plain,
( spl0_530
| ~ spl0_1
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f2271,f2146,f62,f5773]) ).
fof(f2271,plain,
( sdtasdt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(xx,sdtasdt0(sz00,sz00))
| ~ spl0_1
| ~ spl0_222 ),
inference(resolution,[],[f2147,f64]) ).
fof(f5213,plain,
( spl0_529
| ~ spl0_1
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f2264,f2142,f62,f5210]) ).
fof(f5210,plain,
( spl0_529
<=> sdtpldt0(sdtpldt0(xx,sz10),sz10) = sdtpldt0(xx,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_529])]) ).
fof(f5208,plain,
( spl0_528
| ~ spl0_1
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f2187,f2101,f62,f5205]) ).
fof(f5205,plain,
( spl0_528
<=> smndt0(smndt0(smndt0(xx))) = sdtasdt0(smndt0(smndt0(xx)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_528])]) ).
fof(f2187,plain,
( smndt0(smndt0(smndt0(xx))) = sdtasdt0(smndt0(smndt0(xx)),smndt0(sz10))
| ~ spl0_1
| ~ spl0_211 ),
inference(resolution,[],[f2102,f64]) ).
fof(f5203,plain,
( spl0_527
| ~ spl0_1
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2179,f2097,f62,f5200]) ).
fof(f5200,plain,
( spl0_527
<=> smndt0(smndt0(smndt0(xx))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_527])]) ).
fof(f2179,plain,
( smndt0(smndt0(smndt0(xx))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(xx)))
| ~ spl0_1
| ~ spl0_210 ),
inference(resolution,[],[f2098,f64]) ).
fof(f5197,plain,
( spl0_526
| ~ spl0_1
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2091,f1969,f62,f5194]) ).
fof(f5194,plain,
( spl0_526
<=> sdtasdt0(sdtpldt0(xx,sz10),xx) = sdtpldt0(sdtasdt0(xx,xx),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_526])]) ).
fof(f1969,plain,
( spl0_208
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(sdtasdt0(X0,xx),xx)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f2091,plain,
( sdtasdt0(sdtpldt0(xx,sz10),xx) = sdtpldt0(sdtasdt0(xx,xx),xx)
| ~ spl0_1
| ~ spl0_208 ),
inference(resolution,[],[f1970,f64]) ).
fof(f1970,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(sdtasdt0(X0,xx),xx) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f5191,plain,
( spl0_525
| ~ spl0_3
| ~ spl0_71
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f2083,f1965,f611,f72,f5188]) ).
fof(f5188,plain,
( spl0_525
<=> sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_525])]) ).
fof(f1965,plain,
( spl0_207
<=> ! [X0] :
( sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f2083,plain,
( sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_71
| ~ spl0_207 ),
inference(forward_demodulation,[],[f2077,f613]) ).
fof(f2077,plain,
( sdtasdt0(sz00,xx) = sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_207 ),
inference(resolution,[],[f1966,f74]) ).
fof(f1966,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz00)) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f1965]) ).
fof(f5186,plain,
( spl0_524
| ~ spl0_1
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f2082,f1965,f62,f5183]) ).
fof(f5183,plain,
( spl0_524
<=> sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_524])]) ).
fof(f2082,plain,
( sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,xx),sdtasdt0(xx,sz00))
| ~ spl0_1
| ~ spl0_207 ),
inference(resolution,[],[f1966,f64]) ).
fof(f5180,plain,
( spl0_523
| ~ spl0_3
| ~ spl0_71
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2063,f1952,f611,f72,f5177]) ).
fof(f5177,plain,
( spl0_523
<=> sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_523])]) ).
fof(f1952,plain,
( spl0_204
<=> ! [X0] :
( sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f2063,plain,
( sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_71
| ~ spl0_204 ),
inference(forward_demodulation,[],[f2057,f613]) ).
fof(f2057,plain,
( sdtasdt0(sz00,xx) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,xx))
| ~ spl0_3
| ~ spl0_204 ),
inference(resolution,[],[f1953,f74]) ).
fof(f1953,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xx)) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f5175,plain,
( spl0_522
| ~ spl0_1
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2062,f1952,f62,f5172]) ).
fof(f5172,plain,
( spl0_522
<=> sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_522])]) ).
fof(f2062,plain,
( sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_204 ),
inference(resolution,[],[f1953,f64]) ).
fof(f5168,plain,
( spl0_521
| ~ spl0_3
| ~ spl0_71
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f2055,f1948,f611,f72,f5165]) ).
fof(f5165,plain,
( spl0_521
<=> sdtasdt0(sz00,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_521])]) ).
fof(f1948,plain,
( spl0_203
<=> ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(X0,xx),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f2055,plain,
( sdtasdt0(sz00,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,sz00),sz00)
| ~ spl0_3
| ~ spl0_71
| ~ spl0_203 ),
inference(forward_demodulation,[],[f2049,f613]) ).
fof(f2049,plain,
( sdtasdt0(sz00,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(sz00,xx),sz00)
| ~ spl0_3
| ~ spl0_203 ),
inference(resolution,[],[f1949,f74]) ).
fof(f1949,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(X0,xx),sz00) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f1948]) ).
fof(f5163,plain,
( spl0_520
| ~ spl0_1
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f2054,f1948,f62,f5160]) ).
fof(f5160,plain,
( spl0_520
<=> sdtasdt0(xx,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,xx),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_520])]) ).
fof(f2054,plain,
( sdtasdt0(xx,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,xx),sz00)
| ~ spl0_1
| ~ spl0_203 ),
inference(resolution,[],[f1949,f64]) ).
fof(f5158,plain,
( ~ spl0_2
| ~ spl0_13
| spl0_499 ),
inference(avatar_split_clause,[],[f5106,f5047,f130,f67]) ).
fof(f5106,plain,
( ~ aElement0(sz10)
| ~ spl0_13
| spl0_499 ),
inference(duplicate_literal_removal,[],[f5105]) ).
fof(f5105,plain,
( ~ aElement0(sz10)
| ~ aElement0(sz10)
| ~ spl0_13
| spl0_499 ),
inference(resolution,[],[f5049,f131]) ).
fof(f5049,plain,
( ~ aElement0(sdtpldt0(sz10,sz10))
| spl0_499 ),
inference(avatar_component_clause,[],[f5047]) ).
fof(f5156,plain,
( spl0_519
| ~ spl0_2
| ~ spl0_65
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f2048,f1944,f556,f67,f5153]) ).
fof(f1944,plain,
( spl0_202
<=> ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(X0,xx),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f2048,plain,
( sdtpldt0(sz10,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(xx,sz10),sz10)
| ~ spl0_2
| ~ spl0_65
| ~ spl0_202 ),
inference(forward_demodulation,[],[f2042,f558]) ).
fof(f2042,plain,
( sdtpldt0(sz10,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(sz10,xx),sz10)
| ~ spl0_2
| ~ spl0_202 ),
inference(resolution,[],[f1945,f69]) ).
fof(f1945,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(X0,xx),sz10) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f1944]) ).
fof(f5151,plain,
( spl0_518
| ~ spl0_1
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f2046,f1944,f62,f5148]) ).
fof(f5148,plain,
( spl0_518
<=> sdtpldt0(xx,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(xx,xx),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_518])]) ).
fof(f2046,plain,
( sdtpldt0(xx,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(xx,xx),sz10)
| ~ spl0_1
| ~ spl0_202 ),
inference(resolution,[],[f1945,f64]) ).
fof(f5146,plain,
( spl0_517
| ~ spl0_3
| ~ spl0_71
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2034,f1940,f611,f72,f5143]) ).
fof(f1940,plain,
( spl0_201
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtasdt0(sdtasdt0(X0,xx),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f2034,plain,
( smndt0(sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(xx,sz00),smndt0(sz10))
| ~ spl0_3
| ~ spl0_71
| ~ spl0_201 ),
inference(forward_demodulation,[],[f2028,f613]) ).
fof(f2028,plain,
( smndt0(sdtasdt0(sz00,xx)) = sdtasdt0(sdtasdt0(sz00,xx),smndt0(sz10))
| ~ spl0_3
| ~ spl0_201 ),
inference(resolution,[],[f1941,f74]) ).
fof(f1941,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(sdtasdt0(X0,xx)) = sdtasdt0(sdtasdt0(X0,xx),smndt0(sz10)) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f5141,plain,
( spl0_516
| ~ spl0_1
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f2033,f1940,f62,f5138]) ).
fof(f5138,plain,
( spl0_516
<=> smndt0(sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xx),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_516])]) ).
fof(f2033,plain,
( smndt0(sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,xx),smndt0(sz10))
| ~ spl0_1
| ~ spl0_201 ),
inference(resolution,[],[f1941,f64]) ).
fof(f5136,plain,
( spl0_515
| ~ spl0_2
| ~ spl0_65
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2027,f1936,f556,f67,f5133]) ).
fof(f1936,plain,
( spl0_200
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtasdt0(sdtpldt0(X0,xx),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f2027,plain,
( smndt0(sdtpldt0(xx,sz10)) = sdtasdt0(sdtpldt0(xx,sz10),smndt0(sz10))
| ~ spl0_2
| ~ spl0_65
| ~ spl0_200 ),
inference(forward_demodulation,[],[f2021,f558]) ).
fof(f2021,plain,
( smndt0(sdtpldt0(sz10,xx)) = sdtasdt0(sdtpldt0(sz10,xx),smndt0(sz10))
| ~ spl0_2
| ~ spl0_200 ),
inference(resolution,[],[f1937,f69]) ).
fof(f1937,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(sdtpldt0(X0,xx)) = sdtasdt0(sdtpldt0(X0,xx),smndt0(sz10)) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f1936]) ).
fof(f5131,plain,
( spl0_514
| ~ spl0_1
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2025,f1936,f62,f5128]) ).
fof(f2025,plain,
( smndt0(sdtpldt0(xx,xx)) = sdtasdt0(sdtpldt0(xx,xx),smndt0(sz10))
| ~ spl0_1
| ~ spl0_200 ),
inference(resolution,[],[f1937,f64]) ).
fof(f5126,plain,
( spl0_513
| ~ spl0_3
| ~ spl0_71
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2018,f1932,f611,f72,f5123]) ).
fof(f5123,plain,
( spl0_513
<=> smndt0(sdtasdt0(xx,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_513])]) ).
fof(f1932,plain,
( spl0_199
<=> ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f2018,plain,
( smndt0(sdtasdt0(xx,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_71
| ~ spl0_199 ),
inference(forward_demodulation,[],[f2012,f613]) ).
fof(f2012,plain,
( smndt0(sdtasdt0(sz00,xx)) = sdtasdt0(smndt0(sz10),sdtasdt0(sz00,xx))
| ~ spl0_3
| ~ spl0_199 ),
inference(resolution,[],[f1933,f74]) ).
fof(f1933,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(sdtasdt0(X0,xx)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,xx)) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f5121,plain,
( spl0_512
| ~ spl0_1
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f2017,f1932,f62,f5118]) ).
fof(f5118,plain,
( spl0_512
<=> smndt0(sdtasdt0(xx,xx)) = sdtasdt0(smndt0(sz10),sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_512])]) ).
fof(f2017,plain,
( smndt0(sdtasdt0(xx,xx)) = sdtasdt0(smndt0(sz10),sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_199 ),
inference(resolution,[],[f1933,f64]) ).
fof(f5116,plain,
( spl0_511
| ~ spl0_2
| ~ spl0_65
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2011,f1928,f556,f67,f5113]) ).
fof(f5113,plain,
( spl0_511
<=> smndt0(sdtpldt0(xx,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_511])]) ).
fof(f1928,plain,
( spl0_198
<=> ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f2011,plain,
( smndt0(sdtpldt0(xx,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(xx,sz10))
| ~ spl0_2
| ~ spl0_65
| ~ spl0_198 ),
inference(forward_demodulation,[],[f2005,f558]) ).
fof(f2005,plain,
( smndt0(sdtpldt0(sz10,xx)) = sdtasdt0(smndt0(sz10),sdtpldt0(sz10,xx))
| ~ spl0_2
| ~ spl0_198 ),
inference(resolution,[],[f1929,f69]) ).
fof(f1929,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(sdtpldt0(X0,xx)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,xx)) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f5111,plain,
( spl0_510
| ~ spl0_1
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2009,f1928,f62,f5108]) ).
fof(f5108,plain,
( spl0_510
<=> smndt0(sdtpldt0(xx,xx)) = sdtasdt0(smndt0(sz10),sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_510])]) ).
fof(f2009,plain,
( smndt0(sdtpldt0(xx,xx)) = sdtasdt0(smndt0(sz10),sdtpldt0(xx,xx))
| ~ spl0_1
| ~ spl0_198 ),
inference(resolution,[],[f1929,f64]) ).
fof(f5104,plain,
( spl0_509
| ~ spl0_1
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f2001,f1924,f62,f5101]) ).
fof(f5101,plain,
( spl0_509
<=> sdtasdt0(sdtasdt0(xx,sz00),xx) = sdtasdt0(xx,sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_509])]) ).
fof(f5098,plain,
( spl0_508
| ~ spl0_71
| ~ spl0_481
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f5093,f5088,f4924,f611,f5095]) ).
fof(f5095,plain,
( spl0_508
<=> sdtasdt0(xx,sz00) = sdtasdt0(sz00,sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_508])]) ).
fof(f5088,plain,
( spl0_507
<=> sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_507])]) ).
fof(f5093,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz00,sdtasdt0(xx,sz00))
| ~ spl0_71
| ~ spl0_481
| ~ spl0_507 ),
inference(forward_demodulation,[],[f5092,f613]) ).
fof(f5092,plain,
( sdtasdt0(sz00,xx) = sdtasdt0(sz00,sdtasdt0(xx,sz00))
| ~ spl0_481
| ~ spl0_507 ),
inference(forward_demodulation,[],[f5090,f4926]) ).
fof(f5090,plain,
( sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(xx,sz00))
| ~ spl0_507 ),
inference(avatar_component_clause,[],[f5088]) ).
fof(f5091,plain,
( spl0_507
| ~ spl0_3
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f1996,f1924,f72,f5088]) ).
fof(f1996,plain,
( sdtasdt0(sdtasdt0(sz00,sz00),xx) = sdtasdt0(sz00,sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_197 ),
inference(resolution,[],[f1925,f74]) ).
fof(f5085,plain,
( spl0_506
| ~ spl0_3
| ~ spl0_71
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1994,f1920,f611,f72,f5082]) ).
fof(f1920,plain,
( spl0_196
<=> ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(X0,sdtasdt0(xx,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1994,plain,
( sdtasdt0(sz00,sdtasdt0(xx,xx)) = sdtasdt0(sdtasdt0(xx,sz00),xx)
| ~ spl0_3
| ~ spl0_71
| ~ spl0_196 ),
inference(forward_demodulation,[],[f1988,f613]) ).
fof(f1988,plain,
( sdtasdt0(sdtasdt0(sz00,xx),xx) = sdtasdt0(sz00,sdtasdt0(xx,xx))
| ~ spl0_3
| ~ spl0_196 ),
inference(resolution,[],[f1921,f74]) ).
fof(f1921,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(X0,sdtasdt0(xx,xx)) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f5080,plain,
( spl0_505
| ~ spl0_1
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f1993,f1920,f62,f5077]) ).
fof(f5077,plain,
( spl0_505
<=> sdtasdt0(sdtasdt0(xx,xx),xx) = sdtasdt0(xx,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_505])]) ).
fof(f1993,plain,
( sdtasdt0(sdtasdt0(xx,xx),xx) = sdtasdt0(xx,sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_196 ),
inference(resolution,[],[f1921,f64]) ).
fof(f5075,plain,
( spl0_504
| ~ spl0_1
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1985,f1911,f62,f5072]) ).
fof(f5072,plain,
( spl0_504
<=> sdtpldt0(sdtpldt0(xx,sz10),xx) = sdtpldt0(xx,sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_504])]) ).
fof(f5070,plain,
( spl0_503
| ~ spl0_2
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f1981,f1911,f67,f5067]) ).
fof(f5067,plain,
( spl0_503
<=> sdtpldt0(sdtpldt0(sz10,sz10),xx) = sdtpldt0(sz10,sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_503])]) ).
fof(f1981,plain,
( sdtpldt0(sdtpldt0(sz10,sz10),xx) = sdtpldt0(sz10,sdtpldt0(xx,sz10))
| ~ spl0_2
| ~ spl0_194 ),
inference(resolution,[],[f1912,f69]) ).
fof(f5064,plain,
( spl0_502
| ~ spl0_2
| ~ spl0_65
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1979,f1907,f556,f67,f5061]) ).
fof(f1907,plain,
( spl0_193
<=> ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(X0,sdtpldt0(xx,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1979,plain,
( sdtpldt0(sz10,sdtpldt0(xx,xx)) = sdtpldt0(sdtpldt0(xx,sz10),xx)
| ~ spl0_2
| ~ spl0_65
| ~ spl0_193 ),
inference(forward_demodulation,[],[f1973,f558]) ).
fof(f1973,plain,
( sdtpldt0(sdtpldt0(sz10,xx),xx) = sdtpldt0(sz10,sdtpldt0(xx,xx))
| ~ spl0_2
| ~ spl0_193 ),
inference(resolution,[],[f1908,f69]) ).
fof(f1908,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(X0,sdtpldt0(xx,xx)) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f5059,plain,
( spl0_501
| ~ spl0_1
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f1977,f1907,f62,f5056]) ).
fof(f5056,plain,
( spl0_501
<=> sdtpldt0(sdtpldt0(xx,xx),xx) = sdtpldt0(xx,sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_501])]) ).
fof(f1977,plain,
( sdtpldt0(sdtpldt0(xx,xx),xx) = sdtpldt0(xx,sdtpldt0(xx,xx))
| ~ spl0_1
| ~ spl0_193 ),
inference(resolution,[],[f1908,f64]) ).
fof(f5054,plain,
( ~ spl0_499
| ~ spl0_1
| spl0_500
| ~ spl0_14
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f4861,f4242,f134,f5051,f62,f5047]) ).
fof(f4242,plain,
( spl0_414
<=> sdtpldt0(xx,xx) = sdtasdt0(sdtpldt0(sz10,sz10),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_414])]) ).
fof(f4861,plain,
( aElement0(sdtpldt0(xx,xx))
| ~ aElement0(xx)
| ~ aElement0(sdtpldt0(sz10,sz10))
| ~ spl0_14
| ~ spl0_414 ),
inference(superposition,[],[f135,f4244]) ).
fof(f4244,plain,
( sdtpldt0(xx,xx) = sdtasdt0(sdtpldt0(sz10,sz10),xx)
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f4242]) ).
fof(f5040,plain,
( spl0_498
| ~ spl0_3
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f1889,f1810,f72,f5037]) ).
fof(f5037,plain,
( spl0_498
<=> sz00 = sdtpldt0(sdtasdt0(sz00,sz00),smndt0(sdtasdt0(sz00,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_498])]) ).
fof(f1810,plain,
( spl0_190
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1889,plain,
( sz00 = sdtpldt0(sdtasdt0(sz00,sz00),smndt0(sdtasdt0(sz00,sz00)))
| ~ spl0_3
| ~ spl0_190 ),
inference(resolution,[],[f1811,f74]) ).
fof(f1811,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f5034,plain,
( spl0_497
| ~ spl0_3
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1872,f1802,f72,f5031]) ).
fof(f5031,plain,
( spl0_497
<=> sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,sz00)),sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_497])]) ).
fof(f1802,plain,
( spl0_188
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1872,plain,
( sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,sz00)),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_188 ),
inference(resolution,[],[f1803,f74]) ).
fof(f1803,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f5029,plain,
( spl0_496
| ~ spl0_2
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1865,f1798,f67,f5026]) ).
fof(f5026,plain,
( spl0_496
<=> sz00 = sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sdtpldt0(sz10,sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_496])]) ).
fof(f1798,plain,
( spl0_187
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1865,plain,
( sz00 = sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sdtpldt0(sz10,sz10)))
| ~ spl0_2
| ~ spl0_187 ),
inference(resolution,[],[f1799,f69]) ).
fof(f1799,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1798]) ).
fof(f5024,plain,
( spl0_495
| ~ spl0_2
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f1848,f1790,f67,f5021]) ).
fof(f5021,plain,
( spl0_495
<=> sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_495])]) ).
fof(f1848,plain,
( sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_185 ),
inference(resolution,[],[f1791,f69]) ).
fof(f5019,plain,
( spl0_494
| ~ spl0_2
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1826,f1777,f67,f5016]) ).
fof(f5016,plain,
( spl0_494
<=> sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_494])]) ).
fof(f1826,plain,
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_182 ),
inference(resolution,[],[f1778,f69]) ).
fof(f5014,plain,
( spl0_493
| ~ spl0_2
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1818,f1773,f67,f5011]) ).
fof(f5011,plain,
( spl0_493
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_493])]) ).
fof(f1818,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10))))
| ~ spl0_2
| ~ spl0_181 ),
inference(resolution,[],[f1774,f69]) ).
fof(f4999,plain,
( spl0_492
| ~ spl0_1
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1830,f1777,f62,f4996]) ).
fof(f4996,plain,
( spl0_492
<=> sz00 = sdtpldt0(smndt0(smndt0(smndt0(xx))),smndt0(smndt0(xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_492])]) ).
fof(f1830,plain,
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(xx))),smndt0(smndt0(xx)))
| ~ spl0_1
| ~ spl0_182 ),
inference(resolution,[],[f1778,f64]) ).
fof(f4994,plain,
( spl0_491
| ~ spl0_1
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1822,f1773,f62,f4991]) ).
fof(f4991,plain,
( spl0_491
<=> sz00 = sdtpldt0(smndt0(smndt0(xx)),smndt0(smndt0(smndt0(xx)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_491])]) ).
fof(f1822,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xx)),smndt0(smndt0(smndt0(xx))))
| ~ spl0_1
| ~ spl0_181 ),
inference(resolution,[],[f1774,f64]) ).
fof(f4989,plain,
( spl0_490
| ~ spl0_1
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1770,f1741,f62,f4986]) ).
fof(f4986,plain,
( spl0_490
<=> sz00 = sdtpldt0(sdtasdt0(xx,xx),smndt0(sdtasdt0(xx,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_490])]) ).
fof(f1770,plain,
( sz00 = sdtpldt0(sdtasdt0(xx,xx),smndt0(sdtasdt0(xx,xx)))
| ~ spl0_1
| ~ spl0_180 ),
inference(resolution,[],[f1742,f64]) ).
fof(f4984,plain,
( spl0_489
| ~ spl0_3
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f1765,f1741,f72,f4981]) ).
fof(f4981,plain,
( spl0_489
<=> sz00 = sdtpldt0(sdtasdt0(xx,sz00),smndt0(sdtasdt0(xx,sz00))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_489])]) ).
fof(f1765,plain,
( sz00 = sdtpldt0(sdtasdt0(xx,sz00),smndt0(sdtasdt0(xx,sz00)))
| ~ spl0_3
| ~ spl0_180 ),
inference(resolution,[],[f1742,f74]) ).
fof(f4979,plain,
( spl0_488
| ~ spl0_1
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1763,f1737,f62,f4976]) ).
fof(f4976,plain,
( spl0_488
<=> sz00 = sdtpldt0(smndt0(sdtasdt0(xx,xx)),sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_488])]) ).
fof(f1763,plain,
( sz00 = sdtpldt0(smndt0(sdtasdt0(xx,xx)),sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_179 ),
inference(resolution,[],[f1738,f64]) ).
fof(f4974,plain,
( spl0_487
| ~ spl0_3
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f1758,f1737,f72,f4971]) ).
fof(f4971,plain,
( spl0_487
<=> sz00 = sdtpldt0(smndt0(sdtasdt0(xx,sz00)),sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_487])]) ).
fof(f1758,plain,
( sz00 = sdtpldt0(smndt0(sdtasdt0(xx,sz00)),sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_179 ),
inference(resolution,[],[f1738,f74]) ).
fof(f4969,plain,
( spl0_486
| ~ spl0_1
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1756,f1733,f62,f4966]) ).
fof(f4966,plain,
( spl0_486
<=> sz00 = sdtpldt0(sdtpldt0(xx,xx),smndt0(sdtpldt0(xx,xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_486])]) ).
fof(f1756,plain,
( sz00 = sdtpldt0(sdtpldt0(xx,xx),smndt0(sdtpldt0(xx,xx)))
| ~ spl0_1
| ~ spl0_178 ),
inference(resolution,[],[f1734,f64]) ).
fof(f4964,plain,
( spl0_485
| ~ spl0_2
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f1752,f1733,f67,f4961]) ).
fof(f4961,plain,
( spl0_485
<=> sz00 = sdtpldt0(sdtpldt0(xx,sz10),smndt0(sdtpldt0(xx,sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_485])]) ).
fof(f1752,plain,
( sz00 = sdtpldt0(sdtpldt0(xx,sz10),smndt0(sdtpldt0(xx,sz10)))
| ~ spl0_2
| ~ spl0_178 ),
inference(resolution,[],[f1734,f69]) ).
fof(f4959,plain,
( spl0_484
| ~ spl0_1
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1749,f1729,f62,f4956]) ).
fof(f4956,plain,
( spl0_484
<=> sz00 = sdtpldt0(smndt0(sdtpldt0(xx,xx)),sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_484])]) ).
fof(f1749,plain,
( sz00 = sdtpldt0(smndt0(sdtpldt0(xx,xx)),sdtpldt0(xx,xx))
| ~ spl0_1
| ~ spl0_177 ),
inference(resolution,[],[f1730,f64]) ).
fof(f4954,plain,
( spl0_483
| ~ spl0_2
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f1745,f1729,f67,f4951]) ).
fof(f4951,plain,
( spl0_483
<=> sz00 = sdtpldt0(smndt0(sdtpldt0(xx,sz10)),sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_483])]) ).
fof(f1745,plain,
( sz00 = sdtpldt0(smndt0(sdtpldt0(xx,sz10)),sdtpldt0(xx,sz10))
| ~ spl0_2
| ~ spl0_177 ),
inference(resolution,[],[f1730,f69]) ).
fof(f4936,plain,
( spl0_482
| ~ spl0_3
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f1645,f1400,f72,f4933]) ).
fof(f4933,plain,
( spl0_482
<=> sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_482])]) ).
fof(f1645,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(sz00,sz00),sz00)
| ~ spl0_3
| ~ spl0_162 ),
inference(resolution,[],[f1401,f74]) ).
fof(f4927,plain,
( spl0_481
| ~ spl0_245
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f4922,f4918,f2420,f4924]) ).
fof(f2420,plain,
( spl0_245
<=> sz00 = sdtpldt0(sz00,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f4918,plain,
( spl0_480
<=> sdtasdt0(sz00,sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_480])]) ).
fof(f4922,plain,
( sz00 = sdtasdt0(sz00,sz00)
| ~ spl0_245
| ~ spl0_480 ),
inference(forward_demodulation,[],[f4920,f2422]) ).
fof(f2422,plain,
( sz00 = sdtpldt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f2420]) ).
fof(f4920,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_480 ),
inference(avatar_component_clause,[],[f4918]) ).
fof(f4921,plain,
( spl0_480
| ~ spl0_3
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f1623,f1392,f72,f4918]) ).
fof(f1623,plain,
( sdtasdt0(sz00,sz00) = sdtpldt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_160 ),
inference(resolution,[],[f1393,f74]) ).
fof(f4916,plain,
( spl0_479
| ~ spl0_3
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1606,f1384,f72,f4913]) ).
fof(f4913,plain,
( spl0_479
<=> sdtasdt0(sz00,sz00) = sdtasdt0(sdtasdt0(sz00,sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_479])]) ).
fof(f1606,plain,
( sdtasdt0(sz00,sz00) = sdtasdt0(sdtasdt0(sz00,sz00),sz10)
| ~ spl0_3
| ~ spl0_158 ),
inference(resolution,[],[f1385,f74]) ).
fof(f4911,plain,
( spl0_478
| ~ spl0_3
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1589,f1376,f72,f4908]) ).
fof(f4908,plain,
( spl0_478
<=> sdtasdt0(sz00,sz00) = sdtasdt0(sz10,sdtasdt0(sz00,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_478])]) ).
fof(f1589,plain,
( sdtasdt0(sz00,sz00) = sdtasdt0(sz10,sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_156 ),
inference(resolution,[],[f1377,f74]) ).
fof(f4906,plain,
( spl0_477
| ~ spl0_2
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1582,f1372,f67,f4903]) ).
fof(f4903,plain,
( spl0_477
<=> sdtpldt0(sz10,sz10) = sdtpldt0(sdtpldt0(sz10,sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_477])]) ).
fof(f1582,plain,
( sdtpldt0(sz10,sz10) = sdtpldt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_2
| ~ spl0_155 ),
inference(resolution,[],[f1373,f69]) ).
fof(f4901,plain,
( spl0_476
| ~ spl0_2
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f1565,f1359,f67,f4898]) ).
fof(f4898,plain,
( spl0_476
<=> sdtpldt0(sz10,sz10) = sdtpldt0(sz00,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_476])]) ).
fof(f1565,plain,
( sdtpldt0(sz10,sz10) = sdtpldt0(sz00,sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_152 ),
inference(resolution,[],[f1360,f69]) ).
fof(f4896,plain,
( spl0_475
| ~ spl0_2
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1543,f1351,f67,f4893]) ).
fof(f4893,plain,
( spl0_475
<=> sdtpldt0(sz10,sz10) = sdtasdt0(sdtpldt0(sz10,sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_475])]) ).
fof(f1543,plain,
( sdtpldt0(sz10,sz10) = sdtasdt0(sdtpldt0(sz10,sz10),sz10)
| ~ spl0_2
| ~ spl0_150 ),
inference(resolution,[],[f1352,f69]) ).
fof(f4891,plain,
( spl0_474
| ~ spl0_2
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f1526,f1343,f67,f4888]) ).
fof(f4888,plain,
( spl0_474
<=> sdtpldt0(sz10,sz10) = sdtasdt0(sz10,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_474])]) ).
fof(f1526,plain,
( sdtpldt0(sz10,sz10) = sdtasdt0(sz10,sdtpldt0(sz10,sz10))
| ~ spl0_2
| ~ spl0_148 ),
inference(resolution,[],[f1344,f69]) ).
fof(f4886,plain,
( spl0_473
| ~ spl0_2
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1474,f1314,f67,f4883]) ).
fof(f4883,plain,
( spl0_473
<=> smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_473])]) ).
fof(f1474,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_141 ),
inference(resolution,[],[f1315,f69]) ).
fof(f4881,plain,
( spl0_472
| ~ spl0_2
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1466,f1310,f67,f4878]) ).
fof(f4878,plain,
( spl0_472
<=> smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_472])]) ).
fof(f1466,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(smndt0(sz10)),sz10)
| ~ spl0_2
| ~ spl0_140 ),
inference(resolution,[],[f1311,f69]) ).
fof(f4876,plain,
( spl0_471
| ~ spl0_2
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1453,f1306,f67,f4873]) ).
fof(f4873,plain,
( spl0_471
<=> smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_471])]) ).
fof(f1453,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_139 ),
inference(resolution,[],[f1307,f69]) ).
fof(f4871,plain,
( spl0_470
| ~ spl0_2
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1445,f1302,f67,f4868]) ).
fof(f4868,plain,
( spl0_470
<=> smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_470])]) ).
fof(f1445,plain,
( smndt0(smndt0(sz10)) = sdtpldt0(smndt0(smndt0(sz10)),sz00)
| ~ spl0_2
| ~ spl0_138 ),
inference(resolution,[],[f1303,f69]) ).
fof(f4830,plain,
( spl0_469
| ~ spl0_14
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1056,f1031,f134,f4828]) ).
fof(f4828,plain,
( spl0_469
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_469])]) ).
fof(f1031,plain,
( spl0_111
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1056,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtasdt0(X3,X4)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_14
| ~ spl0_111 ),
inference(resolution,[],[f1032,f135]) ).
fof(f1032,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f4826,plain,
( spl0_468
| ~ spl0_13
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1055,f1031,f130,f4824]) ).
fof(f4824,plain,
( spl0_468
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtpldt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(X3,X4)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_468])]) ).
fof(f1055,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sdtpldt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X3,X4)),sdtasdt0(sdtasdt0(X1,X2),sdtpldt0(X3,X4)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_13
| ~ spl0_111 ),
inference(resolution,[],[f1032,f131]) ).
fof(f4822,plain,
( spl0_467
| ~ spl0_14
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1050,f1027,f134,f4820]) ).
fof(f4820,plain,
( spl0_467
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtasdt0(X3,X4)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_467])]) ).
fof(f1027,plain,
( spl0_110
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f1050,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtasdt0(X3,X4)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_14
| ~ spl0_110 ),
inference(resolution,[],[f1028,f135]) ).
fof(f1028,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f4818,plain,
( spl0_466
| ~ spl0_13
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1049,f1027,f130,f4816]) ).
fof(f4816,plain,
( spl0_466
<=> ! [X4,X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtpldt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_466])]) ).
fof(f1049,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sdtpldt0(X3,X4)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X3,X4)),sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_13
| ~ spl0_110 ),
inference(resolution,[],[f1028,f131]) ).
fof(f4789,plain,
( spl0_465
| ~ spl0_14
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1044,f1023,f134,f4787]) ).
fof(f4787,plain,
( spl0_465
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_465])]) ).
fof(f1023,plain,
( spl0_109
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1044,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_14
| ~ spl0_109 ),
inference(resolution,[],[f1024,f135]) ).
fof(f1024,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aElement0(X2) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f4785,plain,
( spl0_464
| ~ spl0_13
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1043,f1023,f130,f4783]) ).
fof(f4783,plain,
( spl0_464
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_464])]) ).
fof(f1043,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_13
| ~ spl0_109 ),
inference(resolution,[],[f1024,f131]) ).
fof(f4781,plain,
( spl0_463
| ~ spl0_14
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1038,f1018,f134,f4779]) ).
fof(f4779,plain,
( spl0_463
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_463])]) ).
fof(f1018,plain,
( spl0_108
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1038,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_14
| ~ spl0_108 ),
inference(resolution,[],[f1019,f135]) ).
fof(f1019,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aElement0(X2) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f4777,plain,
( spl0_462
| ~ spl0_13
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1037,f1018,f130,f4775]) ).
fof(f4775,plain,
( spl0_462
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_462])]) ).
fof(f1037,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_13
| ~ spl0_108 ),
inference(resolution,[],[f1019,f131]) ).
fof(f4749,plain,
( spl0_461
| ~ spl0_1
| ~ spl0_25
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f2939,f2675,f248,f62,f4746]) ).
fof(f4746,plain,
( spl0_461
<=> sdtpldt0(xx,xx) = sdtasdt0(xx,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_461])]) ).
fof(f2675,plain,
( spl0_282
<=> ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f2939,plain,
( sdtpldt0(xx,xx) = sdtasdt0(xx,sdtpldt0(sz10,sz10))
| ~ spl0_1
| ~ spl0_25
| ~ spl0_282 ),
inference(forward_demodulation,[],[f2935,f250]) ).
fof(f2935,plain,
( sdtasdt0(xx,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(xx,sz10),sdtasdt0(xx,sz10))
| ~ spl0_1
| ~ spl0_282 ),
inference(resolution,[],[f2676,f64]) ).
fof(f2676,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10)) )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f2675]) ).
fof(f4708,plain,
( spl0_460
| ~ spl0_14
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1015,f990,f134,f4706]) ).
fof(f4706,plain,
( spl0_460
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_460])]) ).
fof(f990,plain,
( spl0_107
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1015,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_14
| ~ spl0_107 ),
inference(resolution,[],[f991,f135]) ).
fof(f991,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X2) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f4704,plain,
( spl0_459
| ~ spl0_13
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1014,f990,f130,f4702]) ).
fof(f4702,plain,
( spl0_459
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_459])]) ).
fof(f1014,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_13
| ~ spl0_107 ),
inference(resolution,[],[f991,f131]) ).
fof(f4700,plain,
( spl0_458
| ~ spl0_14
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1009,f986,f134,f4698]) ).
fof(f4698,plain,
( spl0_458
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_458])]) ).
fof(f986,plain,
( spl0_106
<=> ! [X0,X3,X2,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f1009,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_14
| ~ spl0_106 ),
inference(resolution,[],[f987,f135]) ).
fof(f987,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X2) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f4696,plain,
( spl0_457
| ~ spl0_13
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1008,f986,f130,f4694]) ).
fof(f4694,plain,
( spl0_457
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_457])]) ).
fof(f1008,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_13
| ~ spl0_106 ),
inference(resolution,[],[f987,f131]) ).
fof(f4691,plain,
( spl0_456
| ~ spl0_14
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1003,f982,f134,f4689]) ).
fof(f4689,plain,
( spl0_456
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_456])]) ).
fof(f982,plain,
( spl0_105
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f1003,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_14
| ~ spl0_105 ),
inference(resolution,[],[f983,f135]) ).
fof(f983,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X2) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f4687,plain,
( spl0_455
| ~ spl0_13
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1002,f982,f130,f4685]) ).
fof(f4685,plain,
( spl0_455
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_455])]) ).
fof(f1002,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_13
| ~ spl0_105 ),
inference(resolution,[],[f983,f131]) ).
fof(f4683,plain,
( spl0_454
| ~ spl0_14
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f997,f978,f134,f4681]) ).
fof(f4681,plain,
( spl0_454
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_454])]) ).
fof(f978,plain,
( spl0_104
<=> ! [X0,X3,X2,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f997,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtasdt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtasdt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_14
| ~ spl0_104 ),
inference(resolution,[],[f979,f135]) ).
fof(f979,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X2) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f4679,plain,
( spl0_453
| ~ spl0_13
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f996,f978,f130,f4677]) ).
fof(f4677,plain,
( spl0_453
<=> ! [X2,X4,X0,X3,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_453])]) ).
fof(f996,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sdtpldt0(X3,X4))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ spl0_13
| ~ spl0_104 ),
inference(resolution,[],[f979,f131]) ).
fof(f4675,plain,
( spl0_452
| ~ spl0_14
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f975,f959,f134,f4673]) ).
fof(f4673,plain,
( spl0_452
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(smndt0(X1),sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_452])]) ).
fof(f959,plain,
( spl0_103
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(smndt0(X1),X2))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f975,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sdtasdt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X2,X3)),sdtasdt0(smndt0(X1),sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_103 ),
inference(resolution,[],[f960,f135]) ).
fof(f960,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(smndt0(X1),X2))
| ~ aElement0(X1) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f4671,plain,
( spl0_451
| ~ spl0_13
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f974,f959,f130,f4669]) ).
fof(f4669,plain,
( spl0_451
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(smndt0(X1),sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_451])]) ).
fof(f974,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X2,X3)),sdtasdt0(smndt0(X1),sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_103 ),
inference(resolution,[],[f960,f131]) ).
fof(f4653,plain,
( spl0_450
| ~ spl0_6
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1054,f1031,f86,f4651]) ).
fof(f4651,plain,
( spl0_450
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),smndt0(X3)) = sdtpldt0(sdtasdt0(X0,smndt0(X3)),sdtasdt0(sdtasdt0(X1,X2),smndt0(X3)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_450])]) ).
fof(f1054,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),smndt0(X3)) = sdtpldt0(sdtasdt0(X0,smndt0(X3)),sdtasdt0(sdtasdt0(X1,X2),smndt0(X3)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3) )
| ~ spl0_6
| ~ spl0_111 ),
inference(resolution,[],[f1032,f87]) ).
fof(f4649,plain,
( spl0_449
| ~ spl0_6
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1048,f1027,f86,f4647]) ).
fof(f4647,plain,
( spl0_449
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),smndt0(X3)) = sdtpldt0(sdtasdt0(X0,smndt0(X3)),sdtasdt0(sdtpldt0(X1,X2),smndt0(X3)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_449])]) ).
fof(f1048,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),smndt0(X3)) = sdtpldt0(sdtasdt0(X0,smndt0(X3)),sdtasdt0(sdtpldt0(X1,X2),smndt0(X3)))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3) )
| ~ spl0_6
| ~ spl0_110 ),
inference(resolution,[],[f1028,f87]) ).
fof(f4618,plain,
( spl0_448
| ~ spl0_6
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1042,f1023,f86,f4616]) ).
fof(f4616,plain,
( spl0_448
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_448])]) ).
fof(f1042,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) )
| ~ spl0_6
| ~ spl0_109 ),
inference(resolution,[],[f1024,f87]) ).
fof(f4614,plain,
( spl0_447
| ~ spl0_6
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1036,f1018,f86,f4612]) ).
fof(f4612,plain,
( spl0_447
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_447])]) ).
fof(f1036,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) )
| ~ spl0_6
| ~ spl0_108 ),
inference(resolution,[],[f1019,f87]) ).
fof(f4610,plain,
( spl0_446
| ~ spl0_14
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f966,f955,f134,f4608]) ).
fof(f4608,plain,
( spl0_446
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_446])]) ).
fof(f955,plain,
( spl0_102
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f966,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtasdt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_102 ),
inference(resolution,[],[f956,f135]) ).
fof(f956,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2))) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f4606,plain,
( spl0_445
| ~ spl0_13
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f965,f955,f130,f4604]) ).
fof(f4604,plain,
( spl0_445
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_445])]) ).
fof(f965,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sdtpldt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_102 ),
inference(resolution,[],[f956,f131]) ).
fof(f4525,plain,
( spl0_444
| ~ spl0_1
| ~ spl0_223
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f2456,f2363,f2150,f62,f4522]) ).
fof(f2363,plain,
( spl0_237
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xx,sz00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f2456,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sdtpldt0(xx,xx),sz00)
| ~ spl0_1
| ~ spl0_223
| ~ spl0_237 ),
inference(forward_demodulation,[],[f2451,f2278]) ).
fof(f2451,plain,
( sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz00)) = sdtasdt0(sdtpldt0(xx,xx),sz00)
| ~ spl0_1
| ~ spl0_237 ),
inference(resolution,[],[f2364,f64]) ).
fof(f2364,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xx,sz00)) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f2363]) ).
fof(f4520,plain,
( spl0_443
| ~ spl0_6
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1013,f990,f86,f4518]) ).
fof(f4518,plain,
( spl0_443
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_443])]) ).
fof(f1013,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) )
| ~ spl0_6
| ~ spl0_107 ),
inference(resolution,[],[f991,f87]) ).
fof(f4516,plain,
( spl0_442
| ~ spl0_6
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1007,f986,f86,f4514]) ).
fof(f4514,plain,
( spl0_442
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_442])]) ).
fof(f1007,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) )
| ~ spl0_6
| ~ spl0_106 ),
inference(resolution,[],[f987,f87]) ).
fof(f4512,plain,
( spl0_441
| ~ spl0_6
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1001,f982,f86,f4510]) ).
fof(f4510,plain,
( spl0_441
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_441])]) ).
fof(f1001,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) )
| ~ spl0_6
| ~ spl0_105 ),
inference(resolution,[],[f983,f87]) ).
fof(f4508,plain,
( spl0_440
| ~ spl0_6
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f995,f978,f86,f4506]) ).
fof(f4506,plain,
( spl0_440
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_440])]) ).
fof(f995,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,smndt0(X3))) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,smndt0(X3))))
| ~ aElement0(X2)
| ~ aElement0(X3) )
| ~ spl0_6
| ~ spl0_104 ),
inference(resolution,[],[f979,f87]) ).
fof(f4504,plain,
( spl0_439
| ~ spl0_14
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f951,f937,f134,f4502]) ).
fof(f4502,plain,
( spl0_439
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_439])]) ).
fof(f937,plain,
( spl0_101
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f951,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_101 ),
inference(resolution,[],[f938,f135]) ).
fof(f938,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f4500,plain,
( spl0_438
| ~ spl0_13
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f950,f937,f130,f4498]) ).
fof(f4498,plain,
( spl0_438
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_438])]) ).
fof(f950,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_101 ),
inference(resolution,[],[f938,f131]) ).
fof(f4496,plain,
( spl0_437
| ~ spl0_14
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f944,f933,f134,f4494]) ).
fof(f4494,plain,
( spl0_437
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_437])]) ).
fof(f933,plain,
( spl0_100
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f944,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtasdt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtasdt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_100 ),
inference(resolution,[],[f934,f135]) ).
fof(f934,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f4492,plain,
( spl0_436
| ~ spl0_13
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f943,f933,f130,f4490]) ).
fof(f4490,plain,
( spl0_436
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_436])]) ).
fof(f943,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X2,X3))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sdtpldt0(X2,X3))))
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_100 ),
inference(resolution,[],[f934,f131]) ).
fof(f4488,plain,
( spl0_435
| ~ spl0_14
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f927,f871,f134,f4486]) ).
fof(f4486,plain,
( spl0_435
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sz10,sdtasdt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_435])]) ).
fof(f871,plain,
( spl0_99
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f927,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sz10,sdtasdt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_99 ),
inference(resolution,[],[f872,f135]) ).
fof(f872,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1)) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f4484,plain,
( spl0_434
| ~ spl0_13
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f926,f871,f130,f4482]) ).
fof(f4482,plain,
( spl0_434
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sz10,sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_434])]) ).
fof(f926,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sz10,sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_99 ),
inference(resolution,[],[f872,f131]) ).
fof(f4480,plain,
( spl0_433
| ~ spl0_3
| ~ spl0_30
| ~ spl0_71
| ~ spl0_129
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f2441,f2359,f1149,f611,f277,f72,f4477]) ).
fof(f4477,plain,
( spl0_433
<=> sdtasdt0(xx,sz00) = sdtasdt0(sz00,sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_433])]) ).
fof(f277,plain,
( spl0_30
<=> sz00 = sdtasdt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f2441,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz00,sdtpldt0(xx,sz10))
| ~ spl0_3
| ~ spl0_30
| ~ spl0_71
| ~ spl0_129
| ~ spl0_236 ),
inference(forward_demodulation,[],[f2440,f1239]) ).
fof(f1239,plain,
( sdtasdt0(xx,sz00) = sdtpldt0(sz00,sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_129 ),
inference(resolution,[],[f1150,f74]) ).
fof(f2440,plain,
( sdtpldt0(sz00,sdtasdt0(xx,sz00)) = sdtasdt0(sz00,sdtpldt0(xx,sz10))
| ~ spl0_3
| ~ spl0_30
| ~ spl0_71
| ~ spl0_236 ),
inference(forward_demodulation,[],[f2439,f279]) ).
fof(f279,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f2439,plain,
( sdtasdt0(sz00,sdtpldt0(xx,sz10)) = sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_71
| ~ spl0_236 ),
inference(forward_demodulation,[],[f2433,f613]) ).
fof(f2433,plain,
( sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(sz00,xx)) = sdtasdt0(sz00,sdtpldt0(xx,sz10))
| ~ spl0_3
| ~ spl0_236 ),
inference(resolution,[],[f2360,f74]) ).
fof(f4475,plain,
( spl0_432
| ~ spl0_14
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f919,f867,f134,f4473]) ).
fof(f4473,plain,
( spl0_432
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sz00,sdtasdt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_432])]) ).
fof(f867,plain,
( spl0_98
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(sz00,sdtasdt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_98 ),
inference(resolution,[],[f868,f135]) ).
fof(f868,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1)) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f4471,plain,
( spl0_431
| ~ spl0_13
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f918,f867,f130,f4469]) ).
fof(f4469,plain,
( spl0_431
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sz00,sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_431])]) ).
fof(f918,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(sz00,sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_98 ),
inference(resolution,[],[f868,f131]) ).
fof(f4455,plain,
( spl0_430
| ~ spl0_14
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f834,f819,f134,f4453]) ).
fof(f4453,plain,
( spl0_430
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(xx,sdtasdt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_430])]) ).
fof(f819,plain,
( spl0_90
<=> ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xx),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xx,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f834,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(xx,sdtasdt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_90 ),
inference(resolution,[],[f820,f135]) ).
fof(f820,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xx,X1)) )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f4451,plain,
( spl0_429
| ~ spl0_13
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f833,f819,f130,f4449]) ).
fof(f4449,plain,
( spl0_429
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(xx,sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_429])]) ).
fof(f833,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(xx,sdtpldt0(X1,X2)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_90 ),
inference(resolution,[],[f820,f131]) ).
fof(f4440,plain,
( spl0_428
| ~ spl0_6
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f973,f959,f86,f4438]) ).
fof(f4438,plain,
( spl0_428
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(smndt0(X1),smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_428])]) ).
fof(f973,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),smndt0(X2)) = sdtpldt0(sdtasdt0(X0,smndt0(X2)),sdtasdt0(smndt0(X1),smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_103 ),
inference(resolution,[],[f960,f87]) ).
fof(f4424,plain,
( spl0_427
| ~ spl0_1
| ~ spl0_3
| ~ spl0_71
| ~ spl0_223
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f2431,f2355,f2150,f611,f72,f62,f4421]) ).
fof(f4421,plain,
( spl0_427
<=> sdtasdt0(xx,sz00) = sdtasdt0(sz00,sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_427])]) ).
fof(f2431,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz00,sdtpldt0(xx,xx))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_71
| ~ spl0_223
| ~ spl0_235 ),
inference(forward_demodulation,[],[f2430,f2278]) ).
fof(f2430,plain,
( sdtpldt0(sdtasdt0(xx,sz00),sdtasdt0(xx,sz00)) = sdtasdt0(sz00,sdtpldt0(xx,xx))
| ~ spl0_3
| ~ spl0_71
| ~ spl0_235 ),
inference(forward_demodulation,[],[f2424,f613]) ).
fof(f2424,plain,
( sdtasdt0(sz00,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,xx))
| ~ spl0_3
| ~ spl0_235 ),
inference(resolution,[],[f2356,f74]) ).
fof(f4349,plain,
( spl0_426
| ~ spl0_1
| ~ spl0_3
| ~ spl0_130
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2327,f2167,f1153,f72,f62,f4346]) ).
fof(f2327,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sdtpldt0(xx,sz10),sz00)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_130
| ~ spl0_227 ),
inference(forward_demodulation,[],[f2322,f1246]) ).
fof(f1246,plain,
( sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sz00)
| ~ spl0_3
| ~ spl0_130 ),
inference(resolution,[],[f1154,f74]) ).
fof(f2322,plain,
( sdtpldt0(sdtasdt0(xx,sz00),sz00) = sdtasdt0(sdtpldt0(xx,sz10),sz00)
| ~ spl0_1
| ~ spl0_227 ),
inference(resolution,[],[f2168,f64]) ).
fof(f4290,plain,
( spl0_425
| ~ spl0_2
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1053,f1031,f67,f4288]) ).
fof(f4288,plain,
( spl0_425
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtasdt0(X1,X2),sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_425])]) ).
fof(f1053,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtasdt0(X1,X2),sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_2
| ~ spl0_111 ),
inference(resolution,[],[f1032,f69]) ).
fof(f4285,plain,
( spl0_424
| ~ spl0_3
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1052,f1031,f72,f4283]) ).
fof(f4283,plain,
( spl0_424
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtasdt0(X1,X2),sz00))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_424])]) ).
fof(f1052,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtasdt0(X1,X2),sz00))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_3
| ~ spl0_111 ),
inference(resolution,[],[f1032,f74]) ).
fof(f4281,plain,
( spl0_423
| ~ spl0_2
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1047,f1027,f67,f4279]) ).
fof(f4279,plain,
( spl0_423
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtpldt0(X1,X2),sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_423])]) ).
fof(f1047,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sdtpldt0(X1,X2),sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_2
| ~ spl0_110 ),
inference(resolution,[],[f1028,f69]) ).
fof(f4277,plain,
( spl0_422
| ~ spl0_3
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1046,f1027,f72,f4275]) ).
fof(f4275,plain,
( spl0_422
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtpldt0(X1,X2),sz00))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_422])]) ).
fof(f1046,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sdtpldt0(X1,X2),sz00))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_3
| ~ spl0_110 ),
inference(resolution,[],[f1028,f74]) ).
fof(f4273,plain,
( spl0_421
| ~ spl0_2
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1041,f1023,f67,f4271]) ).
fof(f4271,plain,
( spl0_421
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz10)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_421])]) ).
fof(f1041,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz10)))
| ~ aElement0(X2) )
| ~ spl0_2
| ~ spl0_109 ),
inference(resolution,[],[f1024,f69]) ).
fof(f4269,plain,
( spl0_420
| ~ spl0_3
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1040,f1023,f72,f4267]) ).
fof(f4267,plain,
( spl0_420
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz00)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_420])]) ).
fof(f1040,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,sz00)))
| ~ aElement0(X2) )
| ~ spl0_3
| ~ spl0_109 ),
inference(resolution,[],[f1024,f74]) ).
fof(f4265,plain,
( spl0_419
| ~ spl0_2
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1035,f1018,f67,f4263]) ).
fof(f4263,plain,
( spl0_419
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz10)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_419])]) ).
fof(f1035,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz10)))
| ~ aElement0(X2) )
| ~ spl0_2
| ~ spl0_108 ),
inference(resolution,[],[f1019,f69]) ).
fof(f4261,plain,
( spl0_418
| ~ spl0_3
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1034,f1018,f72,f4259]) ).
fof(f4259,plain,
( spl0_418
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz00)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_418])]) ).
fof(f1034,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,sz00)))
| ~ aElement0(X2) )
| ~ spl0_3
| ~ spl0_108 ),
inference(resolution,[],[f1019,f74]) ).
fof(f4257,plain,
( spl0_417
| ~ spl0_6
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f964,f955,f86,f4255]) ).
fof(f4255,plain,
( spl0_417
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X2))))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_417])]) ).
fof(f964,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(smndt0(X2)))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(smndt0(X2))))
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_102 ),
inference(resolution,[],[f956,f87]) ).
fof(f4253,plain,
( spl0_416
| ~ spl0_14
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f912,f863,f134,f4251]) ).
fof(f4251,plain,
( spl0_416
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_416])]) ).
fof(f863,plain,
( spl0_97
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f912,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_97 ),
inference(resolution,[],[f864,f135]) ).
fof(f864,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f4249,plain,
( spl0_415
| ~ spl0_13
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f911,f863,f130,f4247]) ).
fof(f4247,plain,
( spl0_415
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_415])]) ).
fof(f911,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_97 ),
inference(resolution,[],[f864,f131]) ).
fof(f4245,plain,
( spl0_414
| ~ spl0_2
| ~ spl0_26
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2095,f1969,f253,f67,f4242]) ).
fof(f2095,plain,
( sdtpldt0(xx,xx) = sdtasdt0(sdtpldt0(sz10,sz10),xx)
| ~ spl0_2
| ~ spl0_26
| ~ spl0_208 ),
inference(forward_demodulation,[],[f2087,f255]) ).
fof(f2087,plain,
( sdtasdt0(sdtpldt0(sz10,sz10),xx) = sdtpldt0(sdtasdt0(sz10,xx),xx)
| ~ spl0_2
| ~ spl0_208 ),
inference(resolution,[],[f1970,f69]) ).
fof(f4240,plain,
( spl0_413
| ~ spl0_14
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f902,f859,f134,f4238]) ).
fof(f4238,plain,
( spl0_413
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_413])]) ).
fof(f859,plain,
( spl0_96
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f902,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_96 ),
inference(resolution,[],[f860,f135]) ).
fof(f860,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f4236,plain,
( spl0_412
| ~ spl0_13
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f901,f859,f130,f4234]) ).
fof(f4234,plain,
( spl0_412
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_412])]) ).
fof(f901,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_96 ),
inference(resolution,[],[f860,f131]) ).
fof(f4232,plain,
( spl0_411
| ~ spl0_14
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f896,f855,f134,f4230]) ).
fof(f4230,plain,
( spl0_411
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_411])]) ).
fof(f855,plain,
( spl0_95
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f896,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_95 ),
inference(resolution,[],[f856,f135]) ).
fof(f856,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X1) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f4228,plain,
( spl0_410
| ~ spl0_13
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f895,f855,f130,f4226]) ).
fof(f4226,plain,
( spl0_410
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_410])]) ).
fof(f895,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_95 ),
inference(resolution,[],[f856,f131]) ).
fof(f4224,plain,
( spl0_409
| ~ spl0_14
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f890,f846,f134,f4222]) ).
fof(f4222,plain,
( spl0_409
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_409])]) ).
fof(f846,plain,
( spl0_93
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f890,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_93 ),
inference(resolution,[],[f847,f135]) ).
fof(f847,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X1) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f4220,plain,
( spl0_408
| ~ spl0_13
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f889,f846,f130,f4218]) ).
fof(f4218,plain,
( spl0_408
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_408])]) ).
fof(f889,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_93 ),
inference(resolution,[],[f847,f131]) ).
fof(f4216,plain,
( spl0_407
| ~ spl0_14
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f884,f842,f134,f4214]) ).
fof(f4214,plain,
( spl0_407
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_407])]) ).
fof(f842,plain,
( spl0_92
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f884,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_92 ),
inference(resolution,[],[f843,f135]) ).
fof(f843,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X1) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f4212,plain,
( spl0_406
| ~ spl0_13
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f883,f842,f130,f4210]) ).
fof(f4210,plain,
( spl0_406
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_406])]) ).
fof(f883,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_92 ),
inference(resolution,[],[f843,f131]) ).
fof(f4208,plain,
( spl0_405
| ~ spl0_14
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f878,f838,f134,f4206]) ).
fof(f4206,plain,
( spl0_405
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_405])]) ).
fof(f838,plain,
( spl0_91
<=> ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f878,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtasdt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_91 ),
inference(resolution,[],[f839,f135]) ).
fof(f839,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X1) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f4204,plain,
( spl0_404
| ~ spl0_13
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f877,f838,f130,f4202]) ).
fof(f4202,plain,
( spl0_404
<=> ! [X0,X3,X2,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_404])]) ).
fof(f877,plain,
( ! [X2,X3,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X0)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_91 ),
inference(resolution,[],[f839,f131]) ).
fof(f4159,plain,
( spl0_403
| ~ spl0_1
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f1057,f1031,f62,f4157]) ).
fof(f4157,plain,
( spl0_403
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtasdt0(X1,X2),xx))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_403])]) ).
fof(f1057,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtasdt0(X1,X2),xx))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_1
| ~ spl0_111 ),
inference(resolution,[],[f1032,f64]) ).
fof(f4155,plain,
( spl0_402
| ~ spl0_1
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1051,f1027,f62,f4153]) ).
fof(f4153,plain,
( spl0_402
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtpldt0(X1,X2),xx))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_402])]) ).
fof(f1051,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sdtpldt0(X1,X2),xx))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_1
| ~ spl0_110 ),
inference(resolution,[],[f1028,f64]) ).
fof(f4151,plain,
( spl0_401
| ~ spl0_1
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1045,f1023,f62,f4149]) ).
fof(f4149,plain,
( spl0_401
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xx)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).
fof(f1045,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtasdt0(X2,xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtasdt0(X2,xx)))
| ~ aElement0(X2) )
| ~ spl0_1
| ~ spl0_109 ),
inference(resolution,[],[f1024,f64]) ).
fof(f4147,plain,
( spl0_400
| ~ spl0_1
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1039,f1018,f62,f4145]) ).
fof(f4145,plain,
( spl0_400
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xx)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_400])]) ).
fof(f1039,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,sdtpldt0(X2,xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sdtpldt0(X2,xx)))
| ~ aElement0(X2) )
| ~ spl0_1
| ~ spl0_108 ),
inference(resolution,[],[f1019,f64]) ).
fof(f4142,plain,
( spl0_399
| ~ spl0_14
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f826,f815,f134,f4140]) ).
fof(f4140,plain,
( spl0_399
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xx)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_399])]) ).
fof(f815,plain,
( spl0_89
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xx))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f826,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtasdt0(X1,X2),xx)) = sdtpldt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sdtasdt0(X0,xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_89 ),
inference(resolution,[],[f816,f135]) ).
fof(f816,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f4138,plain,
( spl0_398
| ~ spl0_13
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f825,f815,f130,f4136]) ).
fof(f4136,plain,
( spl0_398
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xx)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_398])]) ).
fof(f825,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(sdtpldt0(X1,X2),xx)) = sdtpldt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sdtasdt0(X0,xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_89 ),
inference(resolution,[],[f816,f131]) ).
fof(f3956,plain,
( spl0_397
| ~ spl0_2
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1012,f990,f67,f3954]) ).
fof(f3954,plain,
( spl0_397
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz10)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_397])]) ).
fof(f1012,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz10)))
| ~ aElement0(X2) )
| ~ spl0_2
| ~ spl0_107 ),
inference(resolution,[],[f991,f69]) ).
fof(f3952,plain,
( spl0_396
| ~ spl0_3
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1011,f990,f72,f3950]) ).
fof(f3950,plain,
( spl0_396
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz00)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_396])]) ).
fof(f1011,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,sz00)))
| ~ aElement0(X2) )
| ~ spl0_3
| ~ spl0_107 ),
inference(resolution,[],[f991,f74]) ).
fof(f3947,plain,
( spl0_395
| ~ spl0_2
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1006,f986,f67,f3945]) ).
fof(f3945,plain,
( spl0_395
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz10)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_395])]) ).
fof(f1006,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz10)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz10)))
| ~ aElement0(X2) )
| ~ spl0_2
| ~ spl0_106 ),
inference(resolution,[],[f987,f69]) ).
fof(f3943,plain,
( spl0_394
| ~ spl0_3
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1005,f986,f72,f3941]) ).
fof(f3941,plain,
( spl0_394
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz00)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_394])]) ).
fof(f1005,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,sz00)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,sz00)))
| ~ aElement0(X2) )
| ~ spl0_3
| ~ spl0_106 ),
inference(resolution,[],[f987,f74]) ).
fof(f3939,plain,
( spl0_393
| ~ spl0_2
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1000,f982,f67,f3937]) ).
fof(f3937,plain,
( spl0_393
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_393])]) ).
fof(f1000,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz10)))
| ~ aElement0(X2) )
| ~ spl0_2
| ~ spl0_105 ),
inference(resolution,[],[f983,f69]) ).
fof(f3935,plain,
( spl0_392
| ~ spl0_3
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f999,f982,f72,f3933]) ).
fof(f3933,plain,
( spl0_392
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f999,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,sz00)))
| ~ aElement0(X2) )
| ~ spl0_3
| ~ spl0_105 ),
inference(resolution,[],[f983,f74]) ).
fof(f3931,plain,
( spl0_391
| ~ spl0_2
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f994,f978,f67,f3929]) ).
fof(f3929,plain,
( spl0_391
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f994,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz10)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz10)))
| ~ aElement0(X2) )
| ~ spl0_2
| ~ spl0_104 ),
inference(resolution,[],[f979,f69]) ).
fof(f3927,plain,
( spl0_390
| ~ spl0_3
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f993,f978,f72,f3925]) ).
fof(f3925,plain,
( spl0_390
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_390])]) ).
fof(f993,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,sz00)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,sz00)))
| ~ aElement0(X2) )
| ~ spl0_3
| ~ spl0_104 ),
inference(resolution,[],[f979,f74]) ).
fof(f3923,plain,
( spl0_389
| ~ spl0_6
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f949,f937,f86,f3921]) ).
fof(f3921,plain,
( spl0_389
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(smndt0(X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_389])]) ).
fof(f949,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(smndt0(X2))) = sdtasdt0(X1,sdtasdt0(X0,smndt0(smndt0(X2))))
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_101 ),
inference(resolution,[],[f938,f87]) ).
fof(f3919,plain,
( spl0_388
| ~ spl0_6
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f942,f933,f86,f3917]) ).
fof(f3917,plain,
( spl0_388
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(smndt0(X2))))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_388])]) ).
fof(f942,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(smndt0(X2))) = sdtpldt0(X1,sdtpldt0(X0,smndt0(smndt0(X2))))
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_100 ),
inference(resolution,[],[f934,f87]) ).
fof(f3915,plain,
( spl0_387
| ~ spl0_14
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f809,f750,f134,f3913]) ).
fof(f3913,plain,
( spl0_387
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_387])]) ).
fof(f750,plain,
( spl0_87
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f809,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_87 ),
inference(resolution,[],[f751,f135]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aElement0(X0) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f3911,plain,
( spl0_386
| ~ spl0_13
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f808,f750,f130,f3909]) ).
fof(f3909,plain,
( spl0_386
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_386])]) ).
fof(f808,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz10) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_87 ),
inference(resolution,[],[f751,f131]) ).
fof(f3906,plain,
( spl0_385
| ~ spl0_14
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f802,f746,f134,f3904]) ).
fof(f3904,plain,
( spl0_385
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_385])]) ).
fof(f746,plain,
( spl0_86
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f802,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_86 ),
inference(resolution,[],[f747,f135]) ).
fof(f747,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aElement0(X0) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f3902,plain,
( spl0_384
| ~ spl0_13
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f801,f746,f130,f3900]) ).
fof(f3900,plain,
( spl0_384
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_384])]) ).
fof(f801,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),sz00) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_86 ),
inference(resolution,[],[f747,f131]) ).
fof(f3898,plain,
( spl0_383
| ~ spl0_14
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f795,f742,f134,f3896]) ).
fof(f3896,plain,
( spl0_383
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_383])]) ).
fof(f742,plain,
( spl0_85
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f795,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_85 ),
inference(resolution,[],[f743,f135]) ).
fof(f743,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aElement0(X0) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f3894,plain,
( spl0_382
| ~ spl0_13
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f794,f742,f130,f3892]) ).
fof(f3892,plain,
( spl0_382
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_382])]) ).
fof(f794,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz10) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_85 ),
inference(resolution,[],[f743,f131]) ).
fof(f3890,plain,
( spl0_381
| ~ spl0_14
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f781,f738,f134,f3888]) ).
fof(f3888,plain,
( spl0_381
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_381])]) ).
fof(f738,plain,
( spl0_84
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f781,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_84 ),
inference(resolution,[],[f739,f135]) ).
fof(f739,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aElement0(X0) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f3886,plain,
( spl0_380
| ~ spl0_13
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f780,f738,f130,f3884]) ).
fof(f3884,plain,
( spl0_380
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_380])]) ).
fof(f780,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),sz00) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),sz00))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_84 ),
inference(resolution,[],[f739,f131]) ).
fof(f3882,plain,
( spl0_379
| ~ spl0_14
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f775,f734,f134,f3880]) ).
fof(f3880,plain,
( spl0_379
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_379])]) ).
fof(f734,plain,
( spl0_83
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f775,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_83 ),
inference(resolution,[],[f735,f135]) ).
fof(f735,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f3878,plain,
( spl0_378
| ~ spl0_13
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f774,f734,f130,f3876]) ).
fof(f3876,plain,
( spl0_378
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_378])]) ).
fof(f774,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_83 ),
inference(resolution,[],[f735,f131]) ).
fof(f3874,plain,
( spl0_377
| ~ spl0_14
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f769,f725,f134,f3872]) ).
fof(f3872,plain,
( spl0_377
<=> ! [X2,X0,X1] :
( smndt0(sdtpldt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_377])]) ).
fof(f725,plain,
( spl0_81
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f769,plain,
( ! [X2,X0,X1] :
( smndt0(sdtpldt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_81 ),
inference(resolution,[],[f726,f135]) ).
fof(f726,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f3870,plain,
( spl0_376
| ~ spl0_13
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f768,f725,f130,f3868]) ).
fof(f3868,plain,
( spl0_376
<=> ! [X2,X0,X1] :
( smndt0(sdtpldt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_376])]) ).
fof(f768,plain,
( ! [X2,X0,X1] :
( smndt0(sdtpldt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_81 ),
inference(resolution,[],[f726,f131]) ).
fof(f3865,plain,
( spl0_375
| ~ spl0_14
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f763,f721,f134,f3863]) ).
fof(f3863,plain,
( spl0_375
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_375])]) ).
fof(f721,plain,
( spl0_80
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f763,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sdtasdt0(X1,X2)))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_80 ),
inference(resolution,[],[f722,f135]) ).
fof(f722,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f3861,plain,
( spl0_374
| ~ spl0_13
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f762,f721,f130,f3859]) ).
fof(f3859,plain,
( spl0_374
<=> ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_374])]) ).
fof(f762,plain,
( ! [X2,X0,X1] :
( smndt0(sdtasdt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sdtpldt0(X1,X2)))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_80 ),
inference(resolution,[],[f722,f131]) ).
fof(f3857,plain,
( spl0_373
| ~ spl0_14
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f757,f717,f134,f3855]) ).
fof(f3855,plain,
( spl0_373
<=> ! [X2,X0,X1] :
( smndt0(sdtpldt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sdtasdt0(X1,X2)))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_373])]) ).
fof(f717,plain,
( spl0_79
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f757,plain,
( ! [X2,X0,X1] :
( smndt0(sdtpldt0(X0,sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sdtasdt0(X1,X2)))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_79 ),
inference(resolution,[],[f718,f135]) ).
fof(f718,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aElement0(X0) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f3853,plain,
( spl0_372
| ~ spl0_13
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f756,f717,f130,f3851]) ).
fof(f3851,plain,
( spl0_372
<=> ! [X2,X0,X1] :
( smndt0(sdtpldt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_372])]) ).
fof(f756,plain,
( ! [X2,X0,X1] :
( smndt0(sdtpldt0(X0,sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sdtpldt0(X1,X2)))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_79 ),
inference(resolution,[],[f718,f131]) ).
fof(f3792,plain,
( spl0_371
| ~ spl0_1
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f1016,f990,f62,f3790]) ).
fof(f3790,plain,
( spl0_371
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xx)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xx)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_371])]) ).
fof(f1016,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtasdt0(X2,xx)) = sdtasdt0(X1,sdtasdt0(X0,sdtasdt0(X2,xx)))
| ~ aElement0(X2) )
| ~ spl0_1
| ~ spl0_107 ),
inference(resolution,[],[f991,f64]) ).
fof(f3788,plain,
( spl0_370
| ~ spl0_1
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1010,f986,f62,f3786]) ).
fof(f3786,plain,
( spl0_370
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xx)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xx)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_370])]) ).
fof(f1010,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),sdtpldt0(X2,xx)) = sdtasdt0(X1,sdtasdt0(X0,sdtpldt0(X2,xx)))
| ~ aElement0(X2) )
| ~ spl0_1
| ~ spl0_106 ),
inference(resolution,[],[f987,f64]) ).
fof(f3784,plain,
( spl0_369
| ~ spl0_1
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1004,f982,f62,f3782]) ).
fof(f3782,plain,
( spl0_369
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xx)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xx)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_369])]) ).
fof(f1004,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtasdt0(X2,xx)) = sdtpldt0(X1,sdtpldt0(X0,sdtasdt0(X2,xx)))
| ~ aElement0(X2) )
| ~ spl0_1
| ~ spl0_105 ),
inference(resolution,[],[f983,f64]) ).
fof(f3780,plain,
( spl0_368
| ~ spl0_1
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f998,f978,f62,f3778]) ).
fof(f3778,plain,
( spl0_368
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xx)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xx)))
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_368])]) ).
fof(f998,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),sdtpldt0(X2,xx)) = sdtpldt0(X1,sdtpldt0(X0,sdtpldt0(X2,xx)))
| ~ aElement0(X2) )
| ~ spl0_1
| ~ spl0_104 ),
inference(resolution,[],[f979,f64]) ).
fof(f3776,plain,
( spl0_367
| ~ spl0_14
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f712,f697,f134,f3774]) ).
fof(f3774,plain,
( spl0_367
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xx) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_367])]) ).
fof(f697,plain,
( spl0_78
<=> ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(X0,sdtasdt0(X1,xx))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f712,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtasdt0(X1,X2)),xx) = sdtasdt0(X0,sdtasdt0(sdtasdt0(X1,X2),xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_78 ),
inference(resolution,[],[f698,f135]) ).
fof(f698,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(X0,sdtasdt0(X1,xx))
| ~ aElement0(X0) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f3772,plain,
( spl0_366
| ~ spl0_13
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f711,f697,f130,f3770]) ).
fof(f3770,plain,
( spl0_366
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xx) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_366])]) ).
fof(f711,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,sdtpldt0(X1,X2)),xx) = sdtasdt0(X0,sdtasdt0(sdtpldt0(X1,X2),xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_78 ),
inference(resolution,[],[f698,f131]) ).
fof(f3768,plain,
( spl0_365
| ~ spl0_14
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f704,f693,f134,f3766]) ).
fof(f3766,plain,
( spl0_365
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xx) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_365])]) ).
fof(f693,plain,
( spl0_77
<=> ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(X0,sdtpldt0(X1,xx))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f704,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtasdt0(X1,X2)),xx) = sdtpldt0(X0,sdtpldt0(sdtasdt0(X1,X2),xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_77 ),
inference(resolution,[],[f694,f135]) ).
fof(f694,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(X0,sdtpldt0(X1,xx))
| ~ aElement0(X0) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f3764,plain,
( spl0_364
| ~ spl0_13
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f703,f693,f130,f3762]) ).
fof(f3762,plain,
( spl0_364
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xx) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_364])]) ).
fof(f703,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,sdtpldt0(X1,X2)),xx) = sdtpldt0(X0,sdtpldt0(sdtpldt0(X1,X2),xx))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_77 ),
inference(resolution,[],[f694,f131]) ).
fof(f3760,plain,
( spl0_363
| ~ spl0_1
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f1478,f1314,f62,f3757]) ).
fof(f3757,plain,
( spl0_363
<=> smndt0(smndt0(xx)) = sdtasdt0(sz10,smndt0(smndt0(xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_363])]) ).
fof(f1478,plain,
( smndt0(smndt0(xx)) = sdtasdt0(sz10,smndt0(smndt0(xx)))
| ~ spl0_1
| ~ spl0_141 ),
inference(resolution,[],[f1315,f64]) ).
fof(f3688,plain,
( spl0_362
| ~ spl0_1
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1470,f1310,f62,f3685]) ).
fof(f3685,plain,
( spl0_362
<=> smndt0(smndt0(xx)) = sdtasdt0(smndt0(smndt0(xx)),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_362])]) ).
fof(f1470,plain,
( smndt0(smndt0(xx)) = sdtasdt0(smndt0(smndt0(xx)),sz10)
| ~ spl0_1
| ~ spl0_140 ),
inference(resolution,[],[f1311,f64]) ).
fof(f3683,plain,
( spl0_361
| ~ spl0_6
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f925,f871,f86,f3681]) ).
fof(f3681,plain,
( spl0_361
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),smndt0(X1)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(sz10,smndt0(X1)))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_361])]) ).
fof(f925,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),smndt0(X1)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(sz10,smndt0(X1)))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_99 ),
inference(resolution,[],[f872,f87]) ).
fof(f3679,plain,
( spl0_360
| ~ spl0_6
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f917,f867,f86,f3677]) ).
fof(f3677,plain,
( spl0_360
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),smndt0(X1)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(sz00,smndt0(X1)))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_360])]) ).
fof(f917,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),smndt0(X1)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(sz00,smndt0(X1)))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_98 ),
inference(resolution,[],[f868,f87]) ).
fof(f3675,plain,
( spl0_359
| ~ spl0_14
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f690,f660,f134,f3673]) ).
fof(f3673,plain,
( spl0_359
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),smndt0(sdtasdt0(sdtasdt0(X1,X2),X0)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_359])]) ).
fof(f660,plain,
( spl0_75
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f690,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),smndt0(sdtasdt0(sdtasdt0(X1,X2),X0)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_75 ),
inference(resolution,[],[f661,f135]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f3671,plain,
( spl0_358
| ~ spl0_13
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f689,f660,f130,f3669]) ).
fof(f3669,plain,
( spl0_358
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),smndt0(sdtasdt0(sdtpldt0(X1,X2),X0)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_358])]) ).
fof(f689,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),smndt0(sdtasdt0(sdtpldt0(X1,X2),X0)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_75 ),
inference(resolution,[],[f661,f131]) ).
fof(f3667,plain,
( spl0_357
| ~ spl0_14
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f684,f656,f134,f3665]) ).
fof(f3665,plain,
( spl0_357
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sdtasdt0(X1,X2),X0)),sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_357])]) ).
fof(f656,plain,
( spl0_74
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f684,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sdtasdt0(X1,X2),X0)),sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_74 ),
inference(resolution,[],[f657,f135]) ).
fof(f657,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f3663,plain,
( spl0_356
| ~ spl0_13
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f683,f656,f130,f3661]) ).
fof(f3661,plain,
( spl0_356
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sdtpldt0(X1,X2),X0)),sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_356])]) ).
fof(f683,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sdtpldt0(X1,X2),X0)),sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_74 ),
inference(resolution,[],[f657,f131]) ).
fof(f3659,plain,
( spl0_355
| ~ spl0_14
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f678,f652,f134,f3657]) ).
fof(f3657,plain,
( spl0_355
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),smndt0(sdtpldt0(sdtasdt0(X1,X2),X0)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_355])]) ).
fof(f652,plain,
( spl0_73
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f678,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),smndt0(sdtpldt0(sdtasdt0(X1,X2),X0)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_73 ),
inference(resolution,[],[f653,f135]) ).
fof(f653,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f3655,plain,
( spl0_354
| ~ spl0_13
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f677,f652,f130,f3653]) ).
fof(f3653,plain,
( spl0_354
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),smndt0(sdtpldt0(sdtpldt0(X1,X2),X0)))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_354])]) ).
fof(f677,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),smndt0(sdtpldt0(sdtpldt0(X1,X2),X0)))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_73 ),
inference(resolution,[],[f653,f131]) ).
fof(f3651,plain,
( spl0_353
| ~ spl0_14
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f667,f648,f134,f3649]) ).
fof(f3649,plain,
( spl0_353
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sdtasdt0(X1,X2),X0)),sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_353])]) ).
fof(f648,plain,
( spl0_72
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f667,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sdtasdt0(X1,X2),X0)),sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_72 ),
inference(resolution,[],[f649,f135]) ).
fof(f649,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f3647,plain,
( spl0_352
| ~ spl0_13
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f666,f648,f130,f3645]) ).
fof(f3645,plain,
( spl0_352
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sdtpldt0(X1,X2),X0)),sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_352])]) ).
fof(f666,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sdtpldt0(X1,X2),X0)),sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_72 ),
inference(resolution,[],[f649,f131]) ).
fof(f3634,plain,
( spl0_351
| ~ spl0_6
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f832,f819,f86,f3632]) ).
fof(f3632,plain,
( spl0_351
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),smndt0(X1)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(xx,smndt0(X1)))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_351])]) ).
fof(f832,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),smndt0(X1)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(xx,smndt0(X1)))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_90 ),
inference(resolution,[],[f820,f87]) ).
fof(f3559,plain,
( spl0_350
| ~ spl0_1
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1457,f1306,f62,f3556]) ).
fof(f3556,plain,
( spl0_350
<=> smndt0(smndt0(xx)) = sdtpldt0(sz00,smndt0(smndt0(xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_350])]) ).
fof(f1457,plain,
( smndt0(smndt0(xx)) = sdtpldt0(sz00,smndt0(smndt0(xx)))
| ~ spl0_1
| ~ spl0_139 ),
inference(resolution,[],[f1307,f64]) ).
fof(f3493,plain,
( spl0_349
| ~ spl0_1
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f1449,f1302,f62,f3490]) ).
fof(f3490,plain,
( spl0_349
<=> smndt0(smndt0(xx)) = sdtpldt0(smndt0(smndt0(xx)),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_349])]) ).
fof(f1449,plain,
( smndt0(smndt0(xx)) = sdtpldt0(smndt0(smndt0(xx)),sz00)
| ~ spl0_1
| ~ spl0_138 ),
inference(resolution,[],[f1303,f64]) ).
fof(f3421,plain,
( spl0_348
| ~ spl0_2
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f972,f959,f67,f3419]) ).
fof(f3419,plain,
( spl0_348
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(smndt0(X1),sz10))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_348])]) ).
fof(f972,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(smndt0(X1),sz10))
| ~ aElement0(X1) )
| ~ spl0_2
| ~ spl0_103 ),
inference(resolution,[],[f960,f69]) ).
fof(f3417,plain,
( spl0_347
| ~ spl0_3
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f971,f959,f72,f3415]) ).
fof(f3415,plain,
( spl0_347
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(smndt0(X1),sz00))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_347])]) ).
fof(f971,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(smndt0(X1),sz00))
| ~ aElement0(X1) )
| ~ spl0_3
| ~ spl0_103 ),
inference(resolution,[],[f960,f74]) ).
fof(f3413,plain,
( spl0_346
| ~ spl0_2
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f963,f955,f67,f3411]) ).
fof(f3411,plain,
( spl0_346
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sz10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_346])]) ).
fof(f963,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(sz10))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(sz10))) )
| ~ spl0_2
| ~ spl0_102 ),
inference(resolution,[],[f956,f69]) ).
fof(f3409,plain,
( spl0_345
| ~ spl0_6
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f910,f863,f86,f3407]) ).
fof(f3407,plain,
( spl0_345
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_345])]) ).
fof(f910,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz10)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_97 ),
inference(resolution,[],[f864,f87]) ).
fof(f3405,plain,
( spl0_344
| ~ spl0_6
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f900,f859,f86,f3403]) ).
fof(f3403,plain,
( spl0_344
<=> ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz00))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).
fof(f900,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),sz00)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,sz00))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_96 ),
inference(resolution,[],[f860,f87]) ).
fof(f3401,plain,
( spl0_343
| ~ spl0_6
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f894,f855,f86,f3399]) ).
fof(f3399,plain,
( spl0_343
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_343])]) ).
fof(f894,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtasdt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aElement0(X1)
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_95 ),
inference(resolution,[],[f856,f87]) ).
fof(f3397,plain,
( spl0_342
| ~ spl0_6
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f888,f846,f86,f3395]) ).
fof(f3395,plain,
( spl0_342
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_342])]) ).
fof(f888,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtasdt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aElement0(X1)
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_93 ),
inference(resolution,[],[f847,f87]) ).
fof(f3393,plain,
( spl0_341
| ~ spl0_6
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f882,f842,f86,f3391]) ).
fof(f3391,plain,
( spl0_341
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_341])]) ).
fof(f882,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X1,smndt0(X2)),X0)
| ~ aElement0(X1)
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_92 ),
inference(resolution,[],[f843,f87]) ).
fof(f3389,plain,
( spl0_340
| ~ spl0_6
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f876,f838,f86,f3387]) ).
fof(f3387,plain,
( spl0_340
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_340])]) ).
fof(f876,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,smndt0(X2)),X0)
| ~ aElement0(X1)
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_91 ),
inference(resolution,[],[f839,f87]) ).
fof(f3384,plain,
( spl0_339
| ~ spl0_14
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f644,f577,f134,f3382]) ).
fof(f3382,plain,
( spl0_339
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_339])]) ).
fof(f577,plain,
( spl0_70
<=> ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f644,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtasdt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_70 ),
inference(resolution,[],[f578,f135]) ).
fof(f578,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f3380,plain,
( spl0_338
| ~ spl0_13
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f643,f577,f130,f3378]) ).
fof(f3378,plain,
( spl0_338
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_338])]) ).
fof(f643,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtasdt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_70 ),
inference(resolution,[],[f578,f131]) ).
fof(f3376,plain,
( spl0_337
| ~ spl0_14
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f637,f573,f134,f3374]) ).
fof(f3374,plain,
( spl0_337
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_337])]) ).
fof(f573,plain,
( spl0_69
<=> ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f637,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(sdtasdt0(X1,X2))) = sdtpldt0(smndt0(sdtasdt0(X1,X2)),X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_69 ),
inference(resolution,[],[f574,f135]) ).
fof(f574,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f3372,plain,
( spl0_336
| ~ spl0_13
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f636,f573,f130,f3370]) ).
fof(f3370,plain,
( spl0_336
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_336])]) ).
fof(f636,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(sdtpldt0(X1,X2))) = sdtpldt0(smndt0(sdtpldt0(X1,X2)),X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_69 ),
inference(resolution,[],[f574,f131]) ).
fof(f3368,plain,
( spl0_335
| ~ spl0_14
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f631,f569,f134,f3366]) ).
fof(f3366,plain,
( spl0_335
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_335])]) ).
fof(f569,plain,
( spl0_68
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f631,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_68 ),
inference(resolution,[],[f570,f135]) ).
fof(f570,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f3364,plain,
( spl0_334
| ~ spl0_13
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f630,f569,f130,f3362]) ).
fof(f3362,plain,
( spl0_334
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_334])]) ).
fof(f630,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_68 ),
inference(resolution,[],[f570,f131]) ).
fof(f3360,plain,
( spl0_333
| ~ spl0_14
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f625,f565,f134,f3358]) ).
fof(f3358,plain,
( spl0_333
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_333])]) ).
fof(f565,plain,
( spl0_67
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f625,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_67 ),
inference(resolution,[],[f566,f135]) ).
fof(f566,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f3356,plain,
( spl0_332
| ~ spl0_13
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f624,f565,f130,f3354]) ).
fof(f3354,plain,
( spl0_332
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).
fof(f624,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_67 ),
inference(resolution,[],[f566,f131]) ).
fof(f3352,plain,
( spl0_331
| ~ spl0_14
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f619,f561,f134,f3350]) ).
fof(f3350,plain,
( spl0_331
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).
fof(f561,plain,
( spl0_66
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f619,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_66 ),
inference(resolution,[],[f562,f135]) ).
fof(f562,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f3348,plain,
( spl0_330
| ~ spl0_13
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f618,f561,f130,f3346]) ).
fof(f3346,plain,
( spl0_330
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).
fof(f618,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtasdt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_66 ),
inference(resolution,[],[f562,f131]) ).
fof(f3343,plain,
( spl0_329
| ~ spl0_14
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f608,f552,f134,f3341]) ).
fof(f3341,plain,
( spl0_329
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).
fof(f552,plain,
( spl0_64
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f608,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_64 ),
inference(resolution,[],[f553,f135]) ).
fof(f553,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f3339,plain,
( spl0_328
| ~ spl0_13
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f607,f552,f130,f3337]) ).
fof(f3337,plain,
( spl0_328
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).
fof(f607,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtasdt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_64 ),
inference(resolution,[],[f553,f131]) ).
fof(f3335,plain,
( spl0_327
| ~ spl0_14
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f602,f548,f134,f3333]) ).
fof(f3333,plain,
( spl0_327
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_327])]) ).
fof(f548,plain,
( spl0_63
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f602,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_63 ),
inference(resolution,[],[f549,f135]) ).
fof(f549,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f3331,plain,
( spl0_326
| ~ spl0_13
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f601,f548,f130,f3329]) ).
fof(f3329,plain,
( spl0_326
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).
fof(f601,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz00)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_63 ),
inference(resolution,[],[f549,f131]) ).
fof(f3327,plain,
( spl0_325
| ~ spl0_14
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f596,f544,f134,f3325]) ).
fof(f3325,plain,
( spl0_325
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_325])]) ).
fof(f544,plain,
( spl0_62
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f596,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_62 ),
inference(resolution,[],[f545,f135]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f3323,plain,
( spl0_324
| ~ spl0_13
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f595,f544,f130,f3321]) ).
fof(f3321,plain,
( spl0_324
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f595,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sz00,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_62 ),
inference(resolution,[],[f545,f131]) ).
fof(f3319,plain,
( spl0_323
| ~ spl0_14
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f590,f540,f134,f3317]) ).
fof(f3317,plain,
( spl0_323
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).
fof(f540,plain,
( spl0_61
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f590,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtasdt0(X1,X2),X0),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_61 ),
inference(resolution,[],[f541,f135]) ).
fof(f541,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f3315,plain,
( spl0_322
| ~ spl0_13
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f589,f540,f130,f3313]) ).
fof(f3313,plain,
( spl0_322
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).
fof(f589,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sdtpldt0(sdtpldt0(X1,X2),X0),sz10)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_61 ),
inference(resolution,[],[f541,f131]) ).
fof(f3311,plain,
( spl0_321
| ~ spl0_14
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f584,f536,f134,f3309]) ).
fof(f3309,plain,
( spl0_321
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_321])]) ).
fof(f536,plain,
( spl0_60
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f584,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtasdt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_60 ),
inference(resolution,[],[f537,f135]) ).
fof(f537,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f3307,plain,
( spl0_320
| ~ spl0_13
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f583,f536,f130,f3305]) ).
fof(f3305,plain,
( spl0_320
<=> ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_320])]) ).
fof(f583,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X1,X2),X0) = sdtasdt0(sz10,sdtpldt0(sdtpldt0(X1,X2),X0))
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_60 ),
inference(resolution,[],[f537,f131]) ).
fof(f3303,plain,
( spl0_319
| ~ spl0_3
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f1266,f1161,f72,f3300]) ).
fof(f1266,plain,
( sdtasdt0(sz00,smndt0(xx)) = sdtasdt0(smndt0(xx),sz00)
| ~ spl0_3
| ~ spl0_132 ),
inference(resolution,[],[f1162,f74]) ).
fof(f3271,plain,
( spl0_318
| ~ spl0_1
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f976,f959,f62,f3269]) ).
fof(f3269,plain,
( spl0_318
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(smndt0(X1),xx))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_318])]) ).
fof(f976,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(smndt0(X1),xx))
| ~ aElement0(X1) )
| ~ spl0_1
| ~ spl0_103 ),
inference(resolution,[],[f960,f64]) ).
fof(f3267,plain,
( spl0_317
| ~ spl0_1
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f967,f955,f62,f3265]) ).
fof(f3265,plain,
( spl0_317
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_317])]) ).
fof(f967,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X0,smndt0(xx))) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,smndt0(xx))) )
| ~ spl0_1
| ~ spl0_102 ),
inference(resolution,[],[f956,f64]) ).
fof(f3263,plain,
( spl0_316
| ~ spl0_6
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f824,f815,f86,f3261]) ).
fof(f824,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(smndt0(X1),xx)) = sdtpldt0(sdtasdt0(X0,smndt0(X1)),sdtasdt0(X0,xx))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_89 ),
inference(resolution,[],[f816,f87]) ).
fof(f3227,plain,
( spl0_315
| ~ spl0_2
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f1259,f1157,f67,f3224]) ).
fof(f3224,plain,
( spl0_315
<=> sdtpldt0(sz10,smndt0(xx)) = sdtpldt0(smndt0(xx),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).
fof(f1259,plain,
( sdtpldt0(sz10,smndt0(xx)) = sdtpldt0(smndt0(xx),sz10)
| ~ spl0_2
| ~ spl0_131 ),
inference(resolution,[],[f1158,f69]) ).
fof(f3149,plain,
( spl0_314
| ~ spl0_2
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f948,f937,f67,f3147]) ).
fof(f3147,plain,
( spl0_314
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sz10)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sz10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_314])]) ).
fof(f948,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(sz10)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(sz10))) )
| ~ spl0_2
| ~ spl0_101 ),
inference(resolution,[],[f938,f69]) ).
fof(f3145,plain,
( spl0_313
| ~ spl0_2
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f941,f933,f67,f3143]) ).
fof(f3143,plain,
( spl0_313
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sz10)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sz10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).
fof(f941,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(sz10)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(sz10))) )
| ~ spl0_2
| ~ spl0_100 ),
inference(resolution,[],[f934,f69]) ).
fof(f3141,plain,
( spl0_312
| ~ spl0_6
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f807,f750,f86,f3139]) ).
fof(f807,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz10) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_87 ),
inference(resolution,[],[f751,f87]) ).
fof(f3137,plain,
( spl0_311
| ~ spl0_6
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f800,f746,f86,f3135]) ).
fof(f800,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),sz00) = sdtasdt0(X0,sdtasdt0(smndt0(X1),sz00))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_86 ),
inference(resolution,[],[f747,f87]) ).
fof(f3133,plain,
( spl0_310
| ~ spl0_6
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f793,f742,f86,f3131]) ).
fof(f793,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz10) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_85 ),
inference(resolution,[],[f743,f87]) ).
fof(f3129,plain,
( spl0_309
| ~ spl0_6
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f779,f738,f86,f3127]) ).
fof(f779,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),sz00) = sdtpldt0(X0,sdtpldt0(smndt0(X1),sz00))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_84 ),
inference(resolution,[],[f739,f87]) ).
fof(f3125,plain,
( spl0_308
| ~ spl0_6
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f773,f734,f86,f3123]) ).
fof(f3123,plain,
( spl0_308
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,smndt0(X1))) = sdtasdt0(sdtasdt0(X0,smndt0(X1)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f773,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,smndt0(X1))) = sdtasdt0(sdtasdt0(X0,smndt0(X1)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_83 ),
inference(resolution,[],[f735,f87]) ).
fof(f3121,plain,
( spl0_307
| ~ spl0_6
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f767,f725,f86,f3119]) ).
fof(f3119,plain,
( spl0_307
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,smndt0(X1))) = sdtasdt0(sdtpldt0(X0,smndt0(X1)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f767,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,smndt0(X1))) = sdtasdt0(sdtpldt0(X0,smndt0(X1)),smndt0(sz10))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_81 ),
inference(resolution,[],[f726,f87]) ).
fof(f3117,plain,
( spl0_306
| ~ spl0_6
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f761,f721,f86,f3115]) ).
fof(f3115,plain,
( spl0_306
<=> ! [X0,X1] :
( smndt0(sdtasdt0(X0,smndt0(X1))) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,smndt0(X1)))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f761,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,smndt0(X1))) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,smndt0(X1)))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_80 ),
inference(resolution,[],[f722,f87]) ).
fof(f3113,plain,
( spl0_305
| ~ spl0_6
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f755,f717,f86,f3111]) ).
fof(f3111,plain,
( spl0_305
<=> ! [X0,X1] :
( smndt0(sdtpldt0(X0,smndt0(X1))) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,smndt0(X1)))
| ~ aElement0(X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f755,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,smndt0(X1))) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,smndt0(X1)))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_79 ),
inference(resolution,[],[f718,f87]) ).
fof(f3109,plain,
( spl0_304
| ~ spl0_1
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1251,f1153,f62,f3106]) ).
fof(f3106,plain,
( spl0_304
<=> sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,xx),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f1251,plain,
( sdtasdt0(xx,xx) = sdtpldt0(sdtasdt0(xx,xx),sz00)
| ~ spl0_1
| ~ spl0_130 ),
inference(resolution,[],[f1154,f64]) ).
fof(f3104,plain,
( spl0_303
| ~ spl0_14
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f532,f518,f134,f3102]) ).
fof(f3102,plain,
( spl0_303
<=> ! [X0,X1] :
( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f518,plain,
( spl0_59
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f532,plain,
( ! [X0,X1] :
( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_59 ),
inference(resolution,[],[f519,f135]) ).
fof(f519,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10)) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f3100,plain,
( spl0_302
| ~ spl0_13
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f531,f518,f130,f3098]) ).
fof(f3098,plain,
( spl0_302
<=> ! [X0,X1] :
( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f531,plain,
( ! [X0,X1] :
( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_59 ),
inference(resolution,[],[f519,f131]) ).
fof(f3096,plain,
( spl0_301
| ~ spl0_14
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f525,f514,f134,f3094]) ).
fof(f3094,plain,
( spl0_301
<=> ! [X0,X1] :
( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(smndt0(sz10),smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f514,plain,
( spl0_58
<=> ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f525,plain,
( ! [X0,X1] :
( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(smndt0(sz10),smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_58 ),
inference(resolution,[],[f515,f135]) ).
fof(f515,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0)) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f3092,plain,
( spl0_300
| ~ spl0_13
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f524,f514,f130,f3090]) ).
fof(f3090,plain,
( spl0_300
<=> ! [X0,X1] :
( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtasdt0(smndt0(sz10),smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f524,plain,
( ! [X0,X1] :
( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtasdt0(smndt0(sz10),smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_58 ),
inference(resolution,[],[f515,f131]) ).
fof(f3056,plain,
( spl0_299
| ~ spl0_1
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f952,f937,f62,f3054]) ).
fof(f3054,plain,
( spl0_299
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xx)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f952,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X0),smndt0(xx)) = sdtasdt0(X1,sdtasdt0(X0,smndt0(xx))) )
| ~ spl0_1
| ~ spl0_101 ),
inference(resolution,[],[f938,f64]) ).
fof(f3052,plain,
( spl0_298
| ~ spl0_1
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f945,f933,f62,f3050]) ).
fof(f3050,plain,
( spl0_298
<=> ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xx)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xx))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f945,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X0),smndt0(xx)) = sdtpldt0(X1,sdtpldt0(X0,smndt0(xx))) )
| ~ spl0_1
| ~ spl0_100 ),
inference(resolution,[],[f934,f64]) ).
fof(f3047,plain,
( spl0_297
| ~ spl0_6
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f710,f697,f86,f3045]) ).
fof(f710,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,smndt0(X1)),xx) = sdtasdt0(X0,sdtasdt0(smndt0(X1),xx))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_78 ),
inference(resolution,[],[f698,f87]) ).
fof(f3043,plain,
( spl0_296
| ~ spl0_6
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f702,f693,f86,f3041]) ).
fof(f702,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,smndt0(X1)),xx) = sdtpldt0(X0,sdtpldt0(smndt0(X1),xx))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_77 ),
inference(resolution,[],[f694,f87]) ).
fof(f2987,plain,
( spl0_295
| ~ spl0_3
| ~ spl0_27
| ~ spl0_30
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f2937,f2675,f277,f262,f72,f2984]) ).
fof(f2984,plain,
( spl0_295
<=> sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f2937,plain,
( sz00 = sdtasdt0(sz00,sdtpldt0(sz10,sz10))
| ~ spl0_3
| ~ spl0_27
| ~ spl0_30
| ~ spl0_282 ),
inference(forward_demodulation,[],[f2936,f264]) ).
fof(f2936,plain,
( sdtpldt0(sz00,sz00) = sdtasdt0(sz00,sdtpldt0(sz10,sz10))
| ~ spl0_3
| ~ spl0_30
| ~ spl0_282 ),
inference(forward_demodulation,[],[f2930,f279]) ).
fof(f2930,plain,
( sdtasdt0(sz00,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(sz00,sz10))
| ~ spl0_3
| ~ spl0_282 ),
inference(resolution,[],[f2676,f74]) ).
fof(f2982,plain,
( spl0_294
| ~ spl0_6
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f688,f660,f86,f2980]) ).
fof(f688,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(smndt0(X1),X0),smndt0(sdtasdt0(smndt0(X1),X0)))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_75 ),
inference(resolution,[],[f661,f87]) ).
fof(f2978,plain,
( spl0_293
| ~ spl0_6
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f682,f656,f86,f2976]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(smndt0(X1),X0)),sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_74 ),
inference(resolution,[],[f657,f87]) ).
fof(f2974,plain,
( spl0_292
| ~ spl0_6
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f676,f652,f86,f2972]) ).
fof(f676,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(smndt0(X1),X0),smndt0(sdtpldt0(smndt0(X1),X0)))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_73 ),
inference(resolution,[],[f653,f87]) ).
fof(f2970,plain,
( spl0_291
| ~ spl0_6
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f665,f648,f86,f2968]) ).
fof(f665,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(smndt0(X1),X0)),sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_72 ),
inference(resolution,[],[f649,f87]) ).
fof(f2966,plain,
( spl0_290
| ~ spl0_14
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f510,f493,f134,f2964]) ).
fof(f493,plain,
( spl0_57
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f510,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtasdt0(X0,X1))),smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_57 ),
inference(resolution,[],[f494,f135]) ).
fof(f494,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f2962,plain,
( spl0_289
| ~ spl0_13
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f509,f493,f130,f2960]) ).
fof(f509,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(smndt0(sdtpldt0(X0,X1))),smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_57 ),
inference(resolution,[],[f494,f131]) ).
fof(f2958,plain,
( spl0_288
| ~ spl0_14
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f500,f489,f134,f2956]) ).
fof(f489,plain,
( spl0_56
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f500,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sdtasdt0(X0,X1)),smndt0(smndt0(sdtasdt0(X0,X1))))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_56 ),
inference(resolution,[],[f490,f135]) ).
fof(f490,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f2954,plain,
( spl0_287
| ~ spl0_13
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f499,f489,f130,f2952]) ).
fof(f499,plain,
( ! [X0,X1] :
( sz00 = sdtpldt0(smndt0(sdtpldt0(X0,X1)),smndt0(smndt0(sdtpldt0(X0,X1))))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_56 ),
inference(resolution,[],[f490,f131]) ).
fof(f2929,plain,
( spl0_286
| ~ spl0_3
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f1246,f1153,f72,f2926]) ).
fof(f2926,plain,
( spl0_286
<=> sdtasdt0(xx,sz00) = sdtpldt0(sdtasdt0(xx,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f2844,plain,
( spl0_285
| ~ spl0_1
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1244,f1149,f62,f2841]) ).
fof(f2841,plain,
( spl0_285
<=> sdtasdt0(xx,xx) = sdtpldt0(sz00,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f1244,plain,
( sdtasdt0(xx,xx) = sdtpldt0(sz00,sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_129 ),
inference(resolution,[],[f1150,f64]) ).
fof(f2771,plain,
( spl0_284
| ~ spl0_3
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1239,f1149,f72,f2768]) ).
fof(f2768,plain,
( spl0_284
<=> sdtasdt0(xx,sz00) = sdtpldt0(sz00,sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f2681,plain,
( spl0_283
| ~ spl0_3
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f915,f867,f72,f2679]) ).
fof(f2679,plain,
( spl0_283
<=> ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f915,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz00,sz00)) )
| ~ spl0_3
| ~ spl0_98 ),
inference(resolution,[],[f868,f74]) ).
fof(f2677,plain,
( spl0_282
| ~ spl0_2
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f909,f863,f67,f2675]) ).
fof(f909,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz10)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_97 ),
inference(resolution,[],[f864,f69]) ).
fof(f2673,plain,
( spl0_281
| ~ spl0_2
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f893,f855,f67,f2671]) ).
fof(f2671,plain,
( spl0_281
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f893,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz10)) = sdtasdt0(sdtasdt0(X1,sz10),X0)
| ~ aElement0(X1) )
| ~ spl0_2
| ~ spl0_95 ),
inference(resolution,[],[f856,f69]) ).
fof(f2669,plain,
( spl0_280
| ~ spl0_3
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f892,f855,f72,f2667]) ).
fof(f892,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,sz00)) = sdtasdt0(sdtasdt0(X1,sz00),X0)
| ~ aElement0(X1) )
| ~ spl0_3
| ~ spl0_95 ),
inference(resolution,[],[f856,f74]) ).
fof(f2665,plain,
( spl0_279
| ~ spl0_2
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f887,f846,f67,f2663]) ).
fof(f887,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtasdt0(sdtpldt0(X1,sz10),X0)
| ~ aElement0(X1) )
| ~ spl0_2
| ~ spl0_93 ),
inference(resolution,[],[f847,f69]) ).
fof(f2661,plain,
( spl0_278
| ~ spl0_3
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f886,f846,f72,f2659]) ).
fof(f2659,plain,
( spl0_278
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f886,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtasdt0(sdtpldt0(X1,sz00),X0)
| ~ aElement0(X1) )
| ~ spl0_3
| ~ spl0_93 ),
inference(resolution,[],[f847,f74]) ).
fof(f2656,plain,
( spl0_277
| ~ spl0_2
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f881,f842,f67,f2654]) ).
fof(f2654,plain,
( spl0_277
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f881,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz10)) = sdtpldt0(sdtasdt0(X1,sz10),X0)
| ~ aElement0(X1) )
| ~ spl0_2
| ~ spl0_92 ),
inference(resolution,[],[f843,f69]) ).
fof(f2652,plain,
( spl0_276
| ~ spl0_3
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f880,f842,f72,f2650]) ).
fof(f880,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,sz00)) = sdtpldt0(sdtasdt0(X1,sz00),X0)
| ~ aElement0(X1) )
| ~ spl0_3
| ~ spl0_92 ),
inference(resolution,[],[f843,f74]) ).
fof(f2648,plain,
( spl0_275
| ~ spl0_2
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f875,f838,f67,f2646]) ).
fof(f875,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtpldt0(X1,sz10),X0)
| ~ aElement0(X1) )
| ~ spl0_2
| ~ spl0_91 ),
inference(resolution,[],[f839,f69]) ).
fof(f2644,plain,
( spl0_274
| ~ spl0_3
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f874,f838,f72,f2642]) ).
fof(f2642,plain,
( spl0_274
<=> ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f874,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtpldt0(X1,sz00),X0)
| ~ aElement0(X1) )
| ~ spl0_3
| ~ spl0_91 ),
inference(resolution,[],[f839,f74]) ).
fof(f2640,plain,
( spl0_273
| ~ spl0_6
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f642,f577,f86,f2638]) ).
fof(f642,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(smndt0(X1))) = sdtasdt0(smndt0(smndt0(X1)),X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_70 ),
inference(resolution,[],[f578,f87]) ).
fof(f2636,plain,
( spl0_272
| ~ spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f635,f573,f86,f2634]) ).
fof(f635,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(smndt0(X1))) = sdtpldt0(smndt0(smndt0(X1)),X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_69 ),
inference(resolution,[],[f574,f87]) ).
fof(f2632,plain,
( spl0_271
| ~ spl0_6
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f629,f569,f86,f2630]) ).
fof(f629,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sdtasdt0(smndt0(X1),X0),sz00)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_68 ),
inference(resolution,[],[f570,f87]) ).
fof(f2628,plain,
( spl0_270
| ~ spl0_6
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f623,f565,f86,f2626]) ).
fof(f623,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_67 ),
inference(resolution,[],[f566,f87]) ).
fof(f2624,plain,
( spl0_269
| ~ spl0_6
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f617,f561,f86,f2622]) ).
fof(f617,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sdtasdt0(smndt0(X1),X0),sz10)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_66 ),
inference(resolution,[],[f562,f87]) ).
fof(f2620,plain,
( spl0_268
| ~ spl0_6
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f606,f552,f86,f2618]) ).
fof(f606,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtasdt0(smndt0(X1),X0))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_64 ),
inference(resolution,[],[f553,f87]) ).
fof(f2615,plain,
( spl0_267
| ~ spl0_6
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f600,f548,f86,f2613]) ).
fof(f600,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sdtpldt0(smndt0(X1),X0),sz00)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_63 ),
inference(resolution,[],[f549,f87]) ).
fof(f2611,plain,
( spl0_266
| ~ spl0_6
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f594,f544,f86,f2609]) ).
fof(f594,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtpldt0(sz00,sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_62 ),
inference(resolution,[],[f545,f87]) ).
fof(f2607,plain,
( spl0_265
| ~ spl0_6
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f588,f540,f86,f2605]) ).
fof(f588,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sdtpldt0(smndt0(X1),X0),sz10)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_61 ),
inference(resolution,[],[f541,f87]) ).
fof(f2603,plain,
( spl0_264
| ~ spl0_6
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f582,f536,f86,f2601]) ).
fof(f582,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(smndt0(X1),X0) = sdtasdt0(sz10,sdtpldt0(smndt0(X1),X0))
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_60 ),
inference(resolution,[],[f537,f87]) ).
fof(f2599,plain,
( spl0_263
| ~ spl0_14
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f484,f422,f134,f2597]) ).
fof(f422,plain,
( spl0_54
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f484,plain,
( ! [X0,X1] :
( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),sz10)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_54 ),
inference(resolution,[],[f423,f135]) ).
fof(f423,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f2595,plain,
( spl0_262
| ~ spl0_13
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f483,f422,f130,f2593]) ).
fof(f483,plain,
( ! [X0,X1] :
( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),sz10)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_54 ),
inference(resolution,[],[f423,f131]) ).
fof(f2591,plain,
( spl0_261
| ~ spl0_14
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f477,f418,f134,f2589]) ).
fof(f418,plain,
( spl0_53
<=> ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f477,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(sz00,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_53 ),
inference(resolution,[],[f419,f135]) ).
fof(f419,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f2587,plain,
( spl0_260
| ~ spl0_13
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f476,f418,f130,f2585]) ).
fof(f476,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_53 ),
inference(resolution,[],[f419,f131]) ).
fof(f2583,plain,
( spl0_259
| ~ spl0_14
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f470,f414,f134,f2581]) ).
fof(f414,plain,
( spl0_52
<=> ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f470,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),sz10) = sdtpldt0(sz10,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_52 ),
inference(resolution,[],[f415,f135]) ).
fof(f415,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f2579,plain,
( spl0_258
| ~ spl0_13
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f469,f414,f130,f2577]) ).
fof(f469,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(sz10,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_52 ),
inference(resolution,[],[f415,f131]) ).
fof(f2575,plain,
( spl0_257
| ~ spl0_2
| ~ spl0_27
| ~ spl0_32
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f2326,f2167,f287,f262,f67,f2572]) ).
fof(f287,plain,
( spl0_32
<=> sz00 = sdtasdt0(sz10,sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f2326,plain,
( sz00 = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_2
| ~ spl0_27
| ~ spl0_32
| ~ spl0_227 ),
inference(forward_demodulation,[],[f2325,f264]) ).
fof(f2325,plain,
( sdtpldt0(sz00,sz00) = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_2
| ~ spl0_32
| ~ spl0_227 ),
inference(forward_demodulation,[],[f2318,f289]) ).
fof(f289,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f2318,plain,
( sdtpldt0(sdtasdt0(sz10,sz00),sz00) = sdtasdt0(sdtpldt0(sz10,sz10),sz00)
| ~ spl0_2
| ~ spl0_227 ),
inference(resolution,[],[f2168,f69]) ).
fof(f2570,plain,
( spl0_256
| ~ spl0_14
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f462,f410,f134,f2568]) ).
fof(f410,plain,
( spl0_51
<=> ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f462,plain,
( ! [X0,X1] :
( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtpldt0(sdtasdt0(X0,X1),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_51 ),
inference(resolution,[],[f411,f135]) ).
fof(f411,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f2566,plain,
( spl0_255
| ~ spl0_13
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f461,f410,f130,f2564]) ).
fof(f461,plain,
( ! [X0,X1] :
( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(X0,X1),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_51 ),
inference(resolution,[],[f411,f131]) ).
fof(f2562,plain,
( spl0_254
| ~ spl0_14
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f455,f406,f134,f2560]) ).
fof(f406,plain,
( spl0_50
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f455,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_50 ),
inference(resolution,[],[f407,f135]) ).
fof(f407,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(sz10,smndt0(X0)) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f2558,plain,
( spl0_253
| ~ spl0_13
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f454,f406,f130,f2556]) ).
fof(f454,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sz10,smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_50 ),
inference(resolution,[],[f407,f131]) ).
fof(f2554,plain,
( spl0_252
| ~ spl0_14
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f448,f402,f134,f2552]) ).
fof(f402,plain,
( spl0_49
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f448,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz10)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_49 ),
inference(resolution,[],[f403,f135]) ).
fof(f403,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(X0),sz10) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f2550,plain,
( spl0_251
| ~ spl0_13
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f447,f402,f130,f2548]) ).
fof(f447,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz10)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_49 ),
inference(resolution,[],[f403,f131]) ).
fof(f2546,plain,
( spl0_250
| ~ spl0_14
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f441,f398,f134,f2544]) ).
fof(f398,plain,
( spl0_48
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f441,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_48 ),
inference(resolution,[],[f399,f135]) ).
fof(f399,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtpldt0(sz00,smndt0(X0)) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f2542,plain,
( spl0_249
| ~ spl0_13
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f440,f398,f130,f2540]) ).
fof(f440,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1)))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_48 ),
inference(resolution,[],[f399,f131]) ).
fof(f2538,plain,
( spl0_248
| ~ spl0_14
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f429,f394,f134,f2536]) ).
fof(f394,plain,
( spl0_47
<=> ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f429,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_47 ),
inference(resolution,[],[f395,f135]) ).
fof(f395,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtpldt0(smndt0(X0),sz00) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f2534,plain,
( spl0_247
| ~ spl0_13
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f428,f394,f130,f2532]) ).
fof(f428,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00)
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_47 ),
inference(resolution,[],[f395,f131]) ).
fof(f2530,plain,
( spl0_246
| ~ spl0_3
| ~ spl0_30
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f2296,f2159,f277,f72,f2527]) ).
fof(f2527,plain,
( spl0_246
<=> sz00 = sdtpldt0(sdtasdt0(sz00,sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f2159,plain,
( spl0_225
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f2296,plain,
( sz00 = sdtpldt0(sdtasdt0(sz00,sz00),sz00)
| ~ spl0_3
| ~ spl0_30
| ~ spl0_225 ),
inference(forward_demodulation,[],[f2290,f279]) ).
fof(f2290,plain,
( sdtasdt0(sz00,sz10) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,sz10))
| ~ spl0_3
| ~ spl0_225 ),
inference(resolution,[],[f2160,f74]) ).
fof(f2160,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10)) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f2423,plain,
( spl0_245
| ~ spl0_3
| ~ spl0_30
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f2286,f2154,f277,f72,f2420]) ).
fof(f2154,plain,
( spl0_224
<=> ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f2286,plain,
( sz00 = sdtpldt0(sz00,sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_30
| ~ spl0_224 ),
inference(forward_demodulation,[],[f2280,f279]) ).
fof(f2280,plain,
( sdtasdt0(sz00,sz10) = sdtpldt0(sdtasdt0(sz00,sz10),sdtasdt0(sz00,sz00))
| ~ spl0_3
| ~ spl0_224 ),
inference(resolution,[],[f2155,f74]) ).
fof(f2155,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00)) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f2394,plain,
( spl0_244
| ~ spl0_1
| ~ spl0_71
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f922,f867,f611,f62,f2392]) ).
fof(f2392,plain,
( spl0_244
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f922,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,sz00))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_71
| ~ spl0_98 ),
inference(forward_demodulation,[],[f920,f613]) ).
fof(f920,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sz00,xx)) )
| ~ spl0_1
| ~ spl0_98 ),
inference(resolution,[],[f868,f64]) ).
fof(f2390,plain,
( spl0_243
| ~ spl0_1
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f913,f863,f62,f2388]) ).
fof(f913,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,sz10)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_97 ),
inference(resolution,[],[f864,f64]) ).
fof(f2386,plain,
( spl0_242
| ~ spl0_1
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f897,f855,f62,f2384]) ).
fof(f897,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtasdt0(X1,xx)) = sdtasdt0(sdtasdt0(X1,xx),X0)
| ~ aElement0(X1) )
| ~ spl0_1
| ~ spl0_95 ),
inference(resolution,[],[f856,f64]) ).
fof(f2382,plain,
( spl0_241
| ~ spl0_1
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f891,f846,f62,f2380]) ).
fof(f891,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtasdt0(sdtpldt0(X1,xx),X0)
| ~ aElement0(X1) )
| ~ spl0_1
| ~ spl0_93 ),
inference(resolution,[],[f847,f64]) ).
fof(f2378,plain,
( spl0_240
| ~ spl0_1
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f885,f842,f62,f2376]) ).
fof(f885,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtasdt0(X1,xx)) = sdtpldt0(sdtasdt0(X1,xx),X0)
| ~ aElement0(X1) )
| ~ spl0_1
| ~ spl0_92 ),
inference(resolution,[],[f843,f64]) ).
fof(f2374,plain,
( spl0_239
| ~ spl0_1
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f879,f838,f62,f2372]) ).
fof(f879,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| sdtpldt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtpldt0(X1,xx),X0)
| ~ aElement0(X1) )
| ~ spl0_1
| ~ spl0_91 ),
inference(resolution,[],[f839,f64]) ).
fof(f2369,plain,
( spl0_238
| ~ spl0_1
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f835,f819,f62,f2367]) ).
fof(f835,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xx,xx)) )
| ~ spl0_1
| ~ spl0_90 ),
inference(resolution,[],[f820,f64]) ).
fof(f2365,plain,
( spl0_237
| ~ spl0_3
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f830,f819,f72,f2363]) ).
fof(f830,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(xx,sz00)) )
| ~ spl0_3
| ~ spl0_90 ),
inference(resolution,[],[f820,f74]) ).
fof(f2361,plain,
( spl0_236
| ~ spl0_2
| ~ spl0_65
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f829,f815,f556,f67,f2359]) ).
fof(f829,plain,
( ! [X0] :
( sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xx)) = sdtasdt0(X0,sdtpldt0(xx,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_65
| ~ spl0_89 ),
inference(forward_demodulation,[],[f823,f558]) ).
fof(f823,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,xx)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_89 ),
inference(resolution,[],[f816,f69]) ).
fof(f2357,plain,
( spl0_235
| ~ spl0_1
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f827,f815,f62,f2355]) ).
fof(f827,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,xx)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_89 ),
inference(resolution,[],[f816,f64]) ).
fof(f2353,plain,
( spl0_234
| ~ spl0_14
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f390,f376,f134,f2351]) ).
fof(f376,plain,
( spl0_46
<=> ! [X0] :
( sdtasdt0(X0,xx) = sdtasdt0(xx,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f390,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(xx,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_46 ),
inference(resolution,[],[f377,f135]) ).
fof(f377,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(xx,X0) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f2349,plain,
( spl0_233
| ~ spl0_13
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f389,f376,f130,f2347]) ).
fof(f389,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,X1),xx) = sdtasdt0(xx,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_46 ),
inference(resolution,[],[f377,f131]) ).
fof(f2345,plain,
( spl0_232
| ~ spl0_14
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f383,f372,f134,f2343]) ).
fof(f372,plain,
( spl0_45
<=> ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(xx,X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f383,plain,
( ! [X0,X1] :
( sdtpldt0(sdtasdt0(X0,X1),xx) = sdtpldt0(xx,sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_45 ),
inference(resolution,[],[f373,f135]) ).
fof(f373,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f2341,plain,
( spl0_231
| ~ spl0_13
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f382,f372,f130,f2339]) ).
fof(f382,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(xx,sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_45 ),
inference(resolution,[],[f373,f131]) ).
fof(f2316,plain,
( spl0_230
| ~ spl0_1
| ~ spl0_25
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f2289,f2154,f248,f62,f2313]) ).
fof(f2313,plain,
( spl0_230
<=> xx = sdtpldt0(xx,sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f2289,plain,
( xx = sdtpldt0(xx,sdtasdt0(xx,sz00))
| ~ spl0_1
| ~ spl0_25
| ~ spl0_224 ),
inference(forward_demodulation,[],[f2285,f250]) ).
fof(f2285,plain,
( sdtasdt0(xx,sz10) = sdtpldt0(sdtasdt0(xx,sz10),sdtasdt0(xx,sz00))
| ~ spl0_1
| ~ spl0_224 ),
inference(resolution,[],[f2155,f64]) ).
fof(f2226,plain,
( spl0_229
| ~ spl0_1
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1237,f1145,f62,f2223]) ).
fof(f2223,plain,
( spl0_229
<=> sdtasdt0(xx,xx) = sdtasdt0(sdtasdt0(xx,xx),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f1237,plain,
( sdtasdt0(xx,xx) = sdtasdt0(sdtasdt0(xx,xx),sz10)
| ~ spl0_1
| ~ spl0_128 ),
inference(resolution,[],[f1146,f64]) ).
fof(f2173,plain,
( spl0_228
| ~ spl0_2
| ~ spl0_31
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f930,f871,f282,f67,f2171]) ).
fof(f2171,plain,
( spl0_228
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f282,plain,
( spl0_31
<=> sz10 = sdtasdt0(sz10,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f930,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz10)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_31
| ~ spl0_99 ),
inference(forward_demodulation,[],[f924,f284]) ).
fof(f284,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f924,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz10,sz10)) )
| ~ spl0_2
| ~ spl0_99 ),
inference(resolution,[],[f872,f69]) ).
fof(f2169,plain,
( spl0_227
| ~ spl0_3
| ~ spl0_32
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f929,f871,f287,f72,f2167]) ).
fof(f929,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sz00)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_32
| ~ spl0_99 ),
inference(forward_demodulation,[],[f923,f289]) ).
fof(f923,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(sz10,sz00)) )
| ~ spl0_3
| ~ spl0_99 ),
inference(resolution,[],[f872,f74]) ).
fof(f2165,plain,
( spl0_226
| ~ spl0_2
| ~ spl0_30
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f921,f867,f277,f67,f2163]) ).
fof(f2163,plain,
( spl0_226
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f921,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_30
| ~ spl0_98 ),
inference(forward_demodulation,[],[f916,f279]) ).
fof(f916,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(sz00,sz10)) )
| ~ spl0_2
| ~ spl0_98 ),
inference(resolution,[],[f868,f69]) ).
fof(f2161,plain,
( spl0_225
| ~ spl0_3
| ~ spl0_29
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f914,f863,f272,f72,f2159]) ).
fof(f272,plain,
( spl0_29
<=> sz10 = sdtpldt0(sz00,sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f914,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_29
| ~ spl0_97 ),
inference(forward_demodulation,[],[f908,f274]) ).
fof(f274,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f908,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_97 ),
inference(resolution,[],[f864,f74]) ).
fof(f2156,plain,
( spl0_224
| ~ spl0_2
| ~ spl0_28
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f905,f859,f267,f67,f2154]) ).
fof(f905,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_28
| ~ spl0_96 ),
inference(forward_demodulation,[],[f899,f269]) ).
fof(f899,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz10,sz00)) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_96 ),
inference(resolution,[],[f860,f69]) ).
fof(f2152,plain,
( spl0_223
| ~ spl0_3
| ~ spl0_27
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f904,f859,f262,f72,f2150]) ).
fof(f904,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_27
| ~ spl0_96 ),
inference(forward_demodulation,[],[f898,f264]) ).
fof(f898,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,sz00)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_96 ),
inference(resolution,[],[f860,f74]) ).
fof(f2148,plain,
( spl0_222
| ~ spl0_3
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f798,f746,f72,f2146]) ).
fof(f798,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz00) = sdtasdt0(X0,sdtasdt0(sz00,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_86 ),
inference(resolution,[],[f747,f74]) ).
fof(f2144,plain,
( spl0_221
| ~ spl0_2
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f792,f742,f67,f2142]) ).
fof(f792,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz10) = sdtpldt0(X0,sdtpldt0(sz10,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_85 ),
inference(resolution,[],[f743,f69]) ).
fof(f2140,plain,
( spl0_220
| ~ spl0_2
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f772,f734,f67,f2138]) ).
fof(f2138,plain,
( spl0_220
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(sdtasdt0(X0,sz10),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f772,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(sdtasdt0(X0,sz10),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_83 ),
inference(resolution,[],[f735,f69]) ).
fof(f2136,plain,
( spl0_219
| ~ spl0_3
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f771,f734,f72,f2134]) ).
fof(f771,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(sdtasdt0(X0,sz00),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_83 ),
inference(resolution,[],[f735,f74]) ).
fof(f2132,plain,
( spl0_218
| ~ spl0_2
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f766,f725,f67,f2130]) ).
fof(f766,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(sdtpldt0(X0,sz10),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_81 ),
inference(resolution,[],[f726,f69]) ).
fof(f2128,plain,
( spl0_217
| ~ spl0_3
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f765,f725,f72,f2126]) ).
fof(f2126,plain,
( spl0_217
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(sdtpldt0(X0,sz00),smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f765,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(sdtpldt0(X0,sz00),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_81 ),
inference(resolution,[],[f726,f74]) ).
fof(f2124,plain,
( spl0_216
| ~ spl0_2
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f760,f721,f67,f2122]) ).
fof(f2122,plain,
( spl0_216
<=> ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f760,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_80 ),
inference(resolution,[],[f722,f69]) ).
fof(f2120,plain,
( spl0_215
| ~ spl0_3
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f759,f721,f72,f2118]) ).
fof(f759,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_80 ),
inference(resolution,[],[f722,f74]) ).
fof(f2116,plain,
( spl0_214
| ~ spl0_3
| ~ spl0_26
| ~ spl0_29
| ~ spl0_71
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f2094,f1969,f611,f272,f253,f72,f2113]) ).
fof(f2113,plain,
( spl0_214
<=> xx = sdtpldt0(sdtasdt0(xx,sz00),xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f2094,plain,
( xx = sdtpldt0(sdtasdt0(xx,sz00),xx)
| ~ spl0_3
| ~ spl0_26
| ~ spl0_29
| ~ spl0_71
| ~ spl0_208 ),
inference(forward_demodulation,[],[f2093,f255]) ).
fof(f2093,plain,
( sdtasdt0(sz10,xx) = sdtpldt0(sdtasdt0(xx,sz00),xx)
| ~ spl0_3
| ~ spl0_29
| ~ spl0_71
| ~ spl0_208 ),
inference(forward_demodulation,[],[f2092,f274]) ).
fof(f2092,plain,
( sdtasdt0(sdtpldt0(sz00,sz10),xx) = sdtpldt0(sdtasdt0(xx,sz00),xx)
| ~ spl0_3
| ~ spl0_71
| ~ spl0_208 ),
inference(forward_demodulation,[],[f2086,f613]) ).
fof(f2086,plain,
( sdtasdt0(sdtpldt0(sz00,sz10),xx) = sdtpldt0(sdtasdt0(sz00,xx),xx)
| ~ spl0_3
| ~ spl0_208 ),
inference(resolution,[],[f1970,f74]) ).
fof(f2111,plain,
( spl0_213
| ~ spl0_2
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f754,f717,f67,f2109]) ).
fof(f754,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz10)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_79 ),
inference(resolution,[],[f718,f69]) ).
fof(f2107,plain,
( spl0_212
| ~ spl0_3
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f753,f717,f72,f2105]) ).
fof(f2105,plain,
( spl0_212
<=> ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz00))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f753,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,sz00)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_79 ),
inference(resolution,[],[f718,f74]) ).
fof(f2103,plain,
( spl0_211
| ~ spl0_6
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f530,f518,f86,f2101]) ).
fof(f530,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(smndt0(X0)),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_59 ),
inference(resolution,[],[f519,f87]) ).
fof(f2099,plain,
( spl0_210
| ~ spl0_6
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f523,f514,f86,f2097]) ).
fof(f523,plain,
( ! [X0] :
( smndt0(smndt0(smndt0(X0))) = sdtasdt0(smndt0(sz10),smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_58 ),
inference(resolution,[],[f515,f87]) ).
fof(f2040,plain,
( spl0_209
| ~ spl0_3
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f1232,f1145,f72,f2037]) ).
fof(f2037,plain,
( spl0_209
<=> sdtasdt0(xx,sz00) = sdtasdt0(sdtasdt0(xx,sz00),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f1232,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sdtasdt0(xx,sz00),sz10)
| ~ spl0_3
| ~ spl0_128 ),
inference(resolution,[],[f1146,f74]) ).
fof(f1971,plain,
( spl0_208
| ~ spl0_1
| ~ spl0_26
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f931,f871,f253,f62,f1969]) ).
fof(f931,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(sdtasdt0(X0,xx),xx)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_26
| ~ spl0_99 ),
inference(forward_demodulation,[],[f928,f255]) ).
fof(f928,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(sz10,xx)) )
| ~ spl0_1
| ~ spl0_99 ),
inference(resolution,[],[f872,f64]) ).
fof(f1967,plain,
( spl0_207
| ~ spl0_1
| ~ spl0_15
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f906,f859,f138,f62,f1965]) ).
fof(f906,plain,
( ! [X0] :
( sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_96 ),
inference(forward_demodulation,[],[f903,f140]) ).
fof(f903,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(xx,sz00)) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X0,sz00))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_96 ),
inference(resolution,[],[f860,f64]) ).
fof(f1963,plain,
( spl0_206
| ~ spl0_1
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1230,f1141,f62,f1960]) ).
fof(f1960,plain,
( spl0_206
<=> sdtasdt0(xx,xx) = sdtasdt0(sz10,sdtasdt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f1230,plain,
( sdtasdt0(xx,xx) = sdtasdt0(sz10,sdtasdt0(xx,xx))
| ~ spl0_1
| ~ spl0_127 ),
inference(resolution,[],[f1142,f64]) ).
fof(f1958,plain,
( spl0_205
| ~ spl0_2
| ~ spl0_25
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f836,f819,f248,f67,f1956]) ).
fof(f1956,plain,
( spl0_205
<=> ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xx)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f836,plain,
( ! [X0] :
( sdtasdt0(sdtpldt0(X0,xx),sz10) = sdtpldt0(sdtasdt0(X0,sz10),xx)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_90 ),
inference(forward_demodulation,[],[f831,f250]) ).
fof(f831,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X0,xx),sz10) = sdtpldt0(sdtasdt0(X0,sz10),sdtasdt0(xx,sz10)) )
| ~ spl0_2
| ~ spl0_90 ),
inference(resolution,[],[f820,f69]) ).
fof(f1954,plain,
( spl0_204
| ~ spl0_3
| ~ spl0_20
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f828,f815,f191,f72,f1952]) ).
fof(f191,plain,
( spl0_20
<=> xx = sdtpldt0(sz00,xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f828,plain,
( ! [X0] :
( sdtasdt0(X0,xx) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_20
| ~ spl0_89 ),
inference(forward_demodulation,[],[f822,f193]) ).
fof(f193,plain,
( xx = sdtpldt0(sz00,xx)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f822,plain,
( ! [X0] :
( sdtasdt0(X0,sdtpldt0(sz00,xx)) = sdtpldt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_89 ),
inference(resolution,[],[f816,f74]) ).
fof(f1950,plain,
( spl0_203
| ~ spl0_1
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f803,f746,f62,f1948]) ).
fof(f803,plain,
( ! [X0] :
( sdtasdt0(X0,sdtasdt0(xx,sz00)) = sdtasdt0(sdtasdt0(X0,xx),sz00)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_86 ),
inference(resolution,[],[f747,f64]) ).
fof(f1946,plain,
( spl0_202
| ~ spl0_1
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f796,f742,f62,f1944]) ).
fof(f796,plain,
( ! [X0] :
( sdtpldt0(X0,sdtpldt0(xx,sz10)) = sdtpldt0(sdtpldt0(X0,xx),sz10)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_85 ),
inference(resolution,[],[f743,f64]) ).
fof(f1942,plain,
( spl0_201
| ~ spl0_1
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f776,f734,f62,f1940]) ).
fof(f776,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtasdt0(sdtasdt0(X0,xx),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_83 ),
inference(resolution,[],[f735,f64]) ).
fof(f1938,plain,
( spl0_200
| ~ spl0_1
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f770,f725,f62,f1936]) ).
fof(f770,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtasdt0(sdtpldt0(X0,xx),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_81 ),
inference(resolution,[],[f726,f64]) ).
fof(f1934,plain,
( spl0_199
| ~ spl0_1
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f764,f721,f62,f1932]) ).
fof(f764,plain,
( ! [X0] :
( smndt0(sdtasdt0(X0,xx)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_80 ),
inference(resolution,[],[f722,f64]) ).
fof(f1930,plain,
( spl0_198
| ~ spl0_1
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f758,f717,f62,f1928]) ).
fof(f758,plain,
( ! [X0] :
( smndt0(sdtpldt0(X0,xx)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_79 ),
inference(resolution,[],[f718,f64]) ).
fof(f1926,plain,
( spl0_197
| ~ spl0_3
| ~ spl0_71
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f714,f697,f611,f72,f1924]) ).
fof(f714,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xx) = sdtasdt0(X0,sdtasdt0(xx,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_71
| ~ spl0_78 ),
inference(forward_demodulation,[],[f708,f613]) ).
fof(f708,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),xx) = sdtasdt0(X0,sdtasdt0(sz00,xx))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_78 ),
inference(resolution,[],[f698,f74]) ).
fof(f1922,plain,
( spl0_196
| ~ spl0_1
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f713,f697,f62,f1920]) ).
fof(f713,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),xx) = sdtasdt0(X0,sdtasdt0(xx,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_78 ),
inference(resolution,[],[f698,f64]) ).
fof(f1918,plain,
( spl0_195
| ~ spl0_3
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f1225,f1141,f72,f1915]) ).
fof(f1915,plain,
( spl0_195
<=> sdtasdt0(xx,sz00) = sdtasdt0(sz10,sdtasdt0(xx,sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f1225,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz10,sdtasdt0(xx,sz00))
| ~ spl0_3
| ~ spl0_127 ),
inference(resolution,[],[f1142,f74]) ).
fof(f1913,plain,
( spl0_194
| ~ spl0_2
| ~ spl0_65
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f707,f693,f556,f67,f1911]) ).
fof(f707,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(X0,sdtpldt0(xx,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_65
| ~ spl0_77 ),
inference(forward_demodulation,[],[f701,f558]) ).
fof(f701,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),xx) = sdtpldt0(X0,sdtpldt0(sz10,xx))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_77 ),
inference(resolution,[],[f694,f69]) ).
fof(f1909,plain,
( spl0_193
| ~ spl0_1
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f705,f693,f62,f1907]) ).
fof(f705,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),xx) = sdtpldt0(X0,sdtpldt0(xx,xx))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_77 ),
inference(resolution,[],[f694,f64]) ).
fof(f1837,plain,
( spl0_192
| ~ spl0_1
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1223,f1137,f62,f1834]) ).
fof(f1834,plain,
( spl0_192
<=> sdtpldt0(xx,xx) = sdtpldt0(sdtpldt0(xx,xx),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1223,plain,
( sdtpldt0(xx,xx) = sdtpldt0(sdtpldt0(xx,xx),sz00)
| ~ spl0_1
| ~ spl0_126 ),
inference(resolution,[],[f1138,f64]) ).
fof(f1816,plain,
( spl0_191
| ~ spl0_2
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f687,f660,f67,f1814]) ).
fof(f1814,plain,
( spl0_191
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f687,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz10,X0),smndt0(sdtasdt0(sz10,X0))) )
| ~ spl0_2
| ~ spl0_75 ),
inference(resolution,[],[f661,f69]) ).
fof(f1812,plain,
( spl0_190
| ~ spl0_3
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f686,f660,f72,f1810]) ).
fof(f686,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(sz00,X0),smndt0(sdtasdt0(sz00,X0))) )
| ~ spl0_3
| ~ spl0_75 ),
inference(resolution,[],[f661,f74]) ).
fof(f1808,plain,
( spl0_189
| ~ spl0_2
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f681,f656,f67,f1806]) ).
fof(f1806,plain,
( spl0_189
<=> ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f681,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz10,X0)),sdtasdt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_74 ),
inference(resolution,[],[f657,f69]) ).
fof(f1804,plain,
( spl0_188
| ~ spl0_3
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f680,f656,f72,f1802]) ).
fof(f680,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,X0)),sdtasdt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_74 ),
inference(resolution,[],[f657,f74]) ).
fof(f1800,plain,
( spl0_187
| ~ spl0_2
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f675,f652,f67,f1798]) ).
fof(f675,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz10,X0),smndt0(sdtpldt0(sz10,X0))) )
| ~ spl0_2
| ~ spl0_73 ),
inference(resolution,[],[f653,f69]) ).
fof(f1796,plain,
( spl0_186
| ~ spl0_3
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f674,f652,f72,f1794]) ).
fof(f674,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(sz00,X0),smndt0(sdtpldt0(sz00,X0))) )
| ~ spl0_3
| ~ spl0_73 ),
inference(resolution,[],[f653,f74]) ).
fof(f1792,plain,
( spl0_185
| ~ spl0_2
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f664,f648,f67,f1790]) ).
fof(f664,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz10,X0)),sdtpldt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_72 ),
inference(resolution,[],[f649,f69]) ).
fof(f1788,plain,
( spl0_184
| ~ spl0_3
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f663,f648,f72,f1786]) ).
fof(f663,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(sz00,X0)),sdtpldt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_72 ),
inference(resolution,[],[f649,f74]) ).
fof(f1784,plain,
( spl0_183
| ~ spl0_2
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f1219,f1137,f67,f1781]) ).
fof(f1781,plain,
( spl0_183
<=> sdtpldt0(xx,sz10) = sdtpldt0(sdtpldt0(xx,sz10),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1219,plain,
( sdtpldt0(xx,sz10) = sdtpldt0(sdtpldt0(xx,sz10),sz00)
| ~ spl0_2
| ~ spl0_126 ),
inference(resolution,[],[f1138,f69]) ).
fof(f1779,plain,
( spl0_182
| ~ spl0_6
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f508,f493,f86,f1777]) ).
fof(f508,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(smndt0(X0))),smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_57 ),
inference(resolution,[],[f494,f87]) ).
fof(f1775,plain,
( spl0_181
| ~ spl0_6
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f498,f489,f86,f1773]) ).
fof(f498,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(smndt0(smndt0(X0))))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_56 ),
inference(resolution,[],[f490,f87]) ).
fof(f1743,plain,
( spl0_180
| ~ spl0_1
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f691,f660,f62,f1741]) ).
fof(f691,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtasdt0(xx,X0),smndt0(sdtasdt0(xx,X0))) )
| ~ spl0_1
| ~ spl0_75 ),
inference(resolution,[],[f661,f64]) ).
fof(f1739,plain,
( spl0_179
| ~ spl0_1
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f685,f656,f62,f1737]) ).
fof(f685,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtasdt0(xx,X0)),sdtasdt0(xx,X0)) )
| ~ spl0_1
| ~ spl0_74 ),
inference(resolution,[],[f657,f64]) ).
fof(f1735,plain,
( spl0_178
| ~ spl0_1
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f679,f652,f62,f1733]) ).
fof(f679,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(sdtpldt0(xx,X0),smndt0(sdtpldt0(xx,X0))) )
| ~ spl0_1
| ~ spl0_73 ),
inference(resolution,[],[f653,f64]) ).
fof(f1731,plain,
( spl0_177
| ~ spl0_1
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f668,f648,f62,f1729]) ).
fof(f668,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(sdtpldt0(xx,X0)),sdtpldt0(xx,X0)) )
| ~ spl0_1
| ~ spl0_72 ),
inference(resolution,[],[f649,f64]) ).
fof(f1727,plain,
( spl0_176
| ~ spl0_1
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1216,f1133,f62,f1724]) ).
fof(f1724,plain,
( spl0_176
<=> sdtpldt0(xx,xx) = sdtpldt0(sz00,sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1216,plain,
( sdtpldt0(xx,xx) = sdtpldt0(sz00,sdtpldt0(xx,xx))
| ~ spl0_1
| ~ spl0_125 ),
inference(resolution,[],[f1134,f64]) ).
fof(f1644,plain,
( spl0_175
| ~ spl0_2
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1212,f1133,f67,f1641]) ).
fof(f1641,plain,
( spl0_175
<=> sdtpldt0(xx,sz10) = sdtpldt0(sz00,sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1212,plain,
( sdtpldt0(xx,sz10) = sdtpldt0(sz00,sdtpldt0(xx,sz10))
| ~ spl0_2
| ~ spl0_125 ),
inference(resolution,[],[f1134,f69]) ).
fof(f1554,plain,
( spl0_174
| ~ spl0_1
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1209,f1129,f62,f1551]) ).
fof(f1551,plain,
( spl0_174
<=> sdtpldt0(xx,xx) = sdtasdt0(sdtpldt0(xx,xx),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f1209,plain,
( sdtpldt0(xx,xx) = sdtasdt0(sdtpldt0(xx,xx),sz10)
| ~ spl0_1
| ~ spl0_124 ),
inference(resolution,[],[f1130,f64]) ).
fof(f1464,plain,
( spl0_173
| ~ spl0_2
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1205,f1129,f67,f1461]) ).
fof(f1461,plain,
( spl0_173
<=> sdtpldt0(xx,sz10) = sdtasdt0(sdtpldt0(xx,sz10),sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f1205,plain,
( sdtpldt0(xx,sz10) = sdtasdt0(sdtpldt0(xx,sz10),sz10)
| ~ spl0_2
| ~ spl0_124 ),
inference(resolution,[],[f1130,f69]) ).
fof(f1443,plain,
( spl0_172
| ~ spl0_2
| ~ spl0_31
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f812,f750,f282,f67,f1441]) ).
fof(f812,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sdtasdt0(X0,sz10),sz10)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_31
| ~ spl0_87 ),
inference(forward_demodulation,[],[f806,f284]) ).
fof(f806,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz10) = sdtasdt0(X0,sdtasdt0(sz10,sz10))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_87 ),
inference(resolution,[],[f751,f69]) ).
fof(f1439,plain,
( spl0_171
| ~ spl0_3
| ~ spl0_30
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f811,f750,f277,f72,f1437]) ).
fof(f811,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz10)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_30
| ~ spl0_87 ),
inference(forward_demodulation,[],[f805,f279]) ).
fof(f805,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz00),sz10) = sdtasdt0(X0,sdtasdt0(sz00,sz10))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_87 ),
inference(resolution,[],[f751,f74]) ).
fof(f1435,plain,
( spl0_170
| ~ spl0_2
| ~ spl0_32
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f804,f746,f287,f67,f1433]) ).
fof(f804,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz10),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_32
| ~ spl0_86 ),
inference(forward_demodulation,[],[f799,f289]) ).
fof(f799,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),sz00) = sdtasdt0(X0,sdtasdt0(sz10,sz00))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_86 ),
inference(resolution,[],[f747,f69]) ).
fof(f1431,plain,
( spl0_169
| ~ spl0_3
| ~ spl0_29
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f797,f742,f272,f72,f1429]) ).
fof(f797,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz00),sz10)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_29
| ~ spl0_85 ),
inference(forward_demodulation,[],[f791,f274]) ).
fof(f791,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz10) = sdtpldt0(X0,sdtpldt0(sz00,sz10))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_85 ),
inference(resolution,[],[f743,f74]) ).
fof(f1427,plain,
( spl0_168
| ~ spl0_2
| ~ spl0_28
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f784,f738,f267,f67,f1425]) ).
fof(f784,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sdtpldt0(X0,sz10),sz00)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_28
| ~ spl0_84 ),
inference(forward_demodulation,[],[f778,f269]) ).
fof(f778,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz10),sz00) = sdtpldt0(X0,sdtpldt0(sz10,sz00))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_84 ),
inference(resolution,[],[f739,f69]) ).
fof(f1423,plain,
( spl0_167
| ~ spl0_3
| ~ spl0_27
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f783,f738,f262,f72,f1421]) ).
fof(f783,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,sz00),sz00)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_27
| ~ spl0_84 ),
inference(forward_demodulation,[],[f777,f264]) ).
fof(f777,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),sz00) = sdtpldt0(X0,sdtpldt0(sz00,sz00))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_84 ),
inference(resolution,[],[f739,f74]) ).
fof(f1419,plain,
( spl0_166
| ~ spl0_2
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f641,f577,f67,f1417]) ).
fof(f641,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl0_2
| ~ spl0_70 ),
inference(resolution,[],[f578,f69]) ).
fof(f1415,plain,
( spl0_165
| ~ spl0_2
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f634,f573,f67,f1413]) ).
fof(f634,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(sz10)) = sdtpldt0(smndt0(sz10),X0) )
| ~ spl0_2
| ~ spl0_69 ),
inference(resolution,[],[f574,f69]) ).
fof(f1411,plain,
( spl0_164
| ~ spl0_1
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1202,f1125,f62,f1408]) ).
fof(f1408,plain,
( spl0_164
<=> sdtpldt0(xx,xx) = sdtasdt0(sz10,sdtpldt0(xx,xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1202,plain,
( sdtpldt0(xx,xx) = sdtasdt0(sz10,sdtpldt0(xx,xx))
| ~ spl0_1
| ~ spl0_123 ),
inference(resolution,[],[f1126,f64]) ).
fof(f1406,plain,
( spl0_163
| ~ spl0_2
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f628,f569,f67,f1404]) ).
fof(f628,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sdtasdt0(sz10,X0),sz00) )
| ~ spl0_2
| ~ spl0_68 ),
inference(resolution,[],[f570,f69]) ).
fof(f1402,plain,
( spl0_162
| ~ spl0_3
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f627,f569,f72,f1400]) ).
fof(f627,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sz00) )
| ~ spl0_3
| ~ spl0_68 ),
inference(resolution,[],[f570,f74]) ).
fof(f1398,plain,
( spl0_161
| ~ spl0_2
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f622,f565,f67,f1396]) ).
fof(f622,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtpldt0(sz00,sdtasdt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_67 ),
inference(resolution,[],[f566,f69]) ).
fof(f1394,plain,
( spl0_160
| ~ spl0_3
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f621,f565,f72,f1392]) ).
fof(f621,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sz00,sdtasdt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_67 ),
inference(resolution,[],[f566,f74]) ).
fof(f1390,plain,
( spl0_159
| ~ spl0_2
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f616,f561,f67,f1388]) ).
fof(f616,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sdtasdt0(sz10,X0),sz10) )
| ~ spl0_2
| ~ spl0_66 ),
inference(resolution,[],[f562,f69]) ).
fof(f1386,plain,
( spl0_158
| ~ spl0_3
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f615,f561,f72,f1384]) ).
fof(f615,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sdtasdt0(sz00,X0),sz10) )
| ~ spl0_3
| ~ spl0_66 ),
inference(resolution,[],[f562,f74]) ).
fof(f1382,plain,
( spl0_157
| ~ spl0_2
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f605,f552,f67,f1380]) ).
fof(f605,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = sdtasdt0(sz10,sdtasdt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_64 ),
inference(resolution,[],[f553,f69]) ).
fof(f1378,plain,
( spl0_156
| ~ spl0_3
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f604,f552,f72,f1376]) ).
fof(f604,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtasdt0(sz10,sdtasdt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_64 ),
inference(resolution,[],[f553,f74]) ).
fof(f1374,plain,
( spl0_155
| ~ spl0_2
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f599,f548,f67,f1372]) ).
fof(f599,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sdtpldt0(sz10,X0),sz00) )
| ~ spl0_2
| ~ spl0_63 ),
inference(resolution,[],[f549,f69]) ).
fof(f1370,plain,
( spl0_154
| ~ spl0_3
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f598,f548,f72,f1368]) ).
fof(f598,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sdtpldt0(sz00,X0),sz00) )
| ~ spl0_3
| ~ spl0_63 ),
inference(resolution,[],[f549,f74]) ).
fof(f1366,plain,
( spl0_153
| ~ spl0_2
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f1198,f1125,f67,f1363]) ).
fof(f1363,plain,
( spl0_153
<=> sdtpldt0(xx,sz10) = sdtasdt0(sz10,sdtpldt0(xx,sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1198,plain,
( sdtpldt0(xx,sz10) = sdtasdt0(sz10,sdtpldt0(xx,sz10))
| ~ spl0_2
| ~ spl0_123 ),
inference(resolution,[],[f1126,f69]) ).
fof(f1361,plain,
( spl0_152
| ~ spl0_2
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f593,f544,f67,f1359]) ).
fof(f593,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtpldt0(sz00,sdtpldt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_62 ),
inference(resolution,[],[f545,f69]) ).
fof(f1357,plain,
( spl0_151
| ~ spl0_3
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f592,f544,f72,f1355]) ).
fof(f592,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtpldt0(sz00,sdtpldt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_62 ),
inference(resolution,[],[f545,f74]) ).
fof(f1353,plain,
( spl0_150
| ~ spl0_2
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f587,f540,f67,f1351]) ).
fof(f587,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sdtpldt0(sz10,X0),sz10) )
| ~ spl0_2
| ~ spl0_61 ),
inference(resolution,[],[f541,f69]) ).
fof(f1349,plain,
( spl0_149
| ~ spl0_3
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f586,f540,f72,f1347]) ).
fof(f586,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sdtpldt0(sz00,X0),sz10) )
| ~ spl0_3
| ~ spl0_61 ),
inference(resolution,[],[f541,f74]) ).
fof(f1345,plain,
( spl0_148
| ~ spl0_2
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f581,f536,f67,f1343]) ).
fof(f581,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz10,X0) = sdtasdt0(sz10,sdtpldt0(sz10,X0)) )
| ~ spl0_2
| ~ spl0_60 ),
inference(resolution,[],[f537,f69]) ).
fof(f1341,plain,
( spl0_147
| ~ spl0_3
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f580,f536,f72,f1339]) ).
fof(f580,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = sdtasdt0(sz10,sdtpldt0(sz00,X0)) )
| ~ spl0_3
| ~ spl0_60 ),
inference(resolution,[],[f537,f74]) ).
fof(f1337,plain,
( spl0_146
| ~ spl0_6
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f482,f422,f86,f1335]) ).
fof(f482,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz10) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_54 ),
inference(resolution,[],[f423,f87]) ).
fof(f1333,plain,
( spl0_145
| ~ spl0_6
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f475,f418,f86,f1331]) ).
fof(f475,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),sz00) = sdtasdt0(sz00,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_53 ),
inference(resolution,[],[f419,f87]) ).
fof(f1329,plain,
( spl0_144
| ~ spl0_6
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f468,f414,f86,f1327]) ).
fof(f468,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz10) = sdtpldt0(sz10,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_52 ),
inference(resolution,[],[f415,f87]) ).
fof(f1325,plain,
( spl0_143
| ~ spl0_6
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f460,f410,f86,f1323]) ).
fof(f460,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_51 ),
inference(resolution,[],[f411,f87]) ).
fof(f1321,plain,
( spl0_142
| ~ spl0_1
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f1194,f1121,f62,f1318]) ).
fof(f1318,plain,
( spl0_142
<=> sdtasdt0(smndt0(xx),xx) = sdtasdt0(xx,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1194,plain,
( sdtasdt0(smndt0(xx),xx) = sdtasdt0(xx,smndt0(xx))
| ~ spl0_1
| ~ spl0_122 ),
inference(resolution,[],[f1122,f64]) ).
fof(f1316,plain,
( spl0_141
| ~ spl0_6
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f453,f406,f86,f1314]) ).
fof(f453,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(sz10,smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_50 ),
inference(resolution,[],[f407,f87]) ).
fof(f1312,plain,
( spl0_140
| ~ spl0_6
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f446,f402,f86,f1310]) ).
fof(f446,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(smndt0(X0)),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_49 ),
inference(resolution,[],[f403,f87]) ).
fof(f1308,plain,
( spl0_139
| ~ spl0_6
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f439,f398,f86,f1306]) ).
fof(f439,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(sz00,smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_48 ),
inference(resolution,[],[f399,f87]) ).
fof(f1304,plain,
( spl0_138
| ~ spl0_6
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f427,f394,f86,f1302]) ).
fof(f427,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtpldt0(smndt0(smndt0(X0)),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_47 ),
inference(resolution,[],[f395,f87]) ).
fof(f1257,plain,
( spl0_137
| ~ spl0_2
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f1181,f1117,f67,f1254]) ).
fof(f1254,plain,
( spl0_137
<=> sdtpldt0(smndt0(sz10),xx) = sdtpldt0(xx,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1181,plain,
( sdtpldt0(smndt0(sz10),xx) = sdtpldt0(xx,smndt0(sz10))
| ~ spl0_2
| ~ spl0_121 ),
inference(resolution,[],[f1118,f69]) ).
fof(f1179,plain,
( spl0_136
| ~ spl0_1
| ~ spl0_25
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f813,f750,f248,f62,f1177]) ).
fof(f813,plain,
( ! [X0] :
( sdtasdt0(X0,xx) = sdtasdt0(sdtasdt0(X0,xx),sz10)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_87 ),
inference(forward_demodulation,[],[f810,f250]) ).
fof(f810,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,xx),sz10) = sdtasdt0(X0,sdtasdt0(xx,sz10))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f751,f64]) ).
fof(f1175,plain,
( spl0_135
| ~ spl0_1
| ~ spl0_15
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f785,f738,f138,f62,f1173]) ).
fof(f785,plain,
( ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,xx),sz00)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_15
| ~ spl0_84 ),
inference(forward_demodulation,[],[f782,f140]) ).
fof(f782,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,xx),sz00) = sdtpldt0(X0,sdtpldt0(xx,sz00))
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_84 ),
inference(resolution,[],[f739,f64]) ).
fof(f1171,plain,
( spl0_134
| ~ spl0_2
| ~ spl0_26
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f715,f697,f253,f67,f1169]) ).
fof(f715,plain,
( ! [X0] :
( sdtasdt0(X0,xx) = sdtasdt0(sdtasdt0(X0,sz10),xx)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_26
| ~ spl0_78 ),
inference(forward_demodulation,[],[f709,f255]) ).
fof(f709,plain,
( ! [X0] :
( sdtasdt0(sdtasdt0(X0,sz10),xx) = sdtasdt0(X0,sdtasdt0(sz10,xx))
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_78 ),
inference(resolution,[],[f698,f69]) ).
fof(f1167,plain,
( spl0_133
| ~ spl0_3
| ~ spl0_20
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f706,f693,f191,f72,f1165]) ).
fof(f706,plain,
( ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(sdtpldt0(X0,sz00),xx)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_20
| ~ spl0_77 ),
inference(forward_demodulation,[],[f700,f193]) ).
fof(f700,plain,
( ! [X0] :
( sdtpldt0(sdtpldt0(X0,sz00),xx) = sdtpldt0(X0,sdtpldt0(sz00,xx))
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_77 ),
inference(resolution,[],[f694,f74]) ).
fof(f1163,plain,
( spl0_132
| ~ spl0_1
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f645,f577,f62,f1161]) ).
fof(f645,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(xx)) = sdtasdt0(smndt0(xx),X0) )
| ~ spl0_1
| ~ spl0_70 ),
inference(resolution,[],[f578,f64]) ).
fof(f1159,plain,
( spl0_131
| ~ spl0_1
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f638,f573,f62,f1157]) ).
fof(f638,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,smndt0(xx)) = sdtpldt0(smndt0(xx),X0) )
| ~ spl0_1
| ~ spl0_69 ),
inference(resolution,[],[f574,f64]) ).
fof(f1155,plain,
( spl0_130
| ~ spl0_1
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f632,f569,f62,f1153]) ).
fof(f632,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtpldt0(sdtasdt0(xx,X0),sz00) )
| ~ spl0_1
| ~ spl0_68 ),
inference(resolution,[],[f570,f64]) ).
fof(f1151,plain,
( spl0_129
| ~ spl0_1
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f626,f565,f62,f1149]) ).
fof(f626,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtpldt0(sz00,sdtasdt0(xx,X0)) )
| ~ spl0_1
| ~ spl0_67 ),
inference(resolution,[],[f566,f64]) ).
fof(f1147,plain,
( spl0_128
| ~ spl0_1
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f620,f561,f62,f1145]) ).
fof(f620,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtasdt0(sdtasdt0(xx,X0),sz10) )
| ~ spl0_1
| ~ spl0_66 ),
inference(resolution,[],[f562,f64]) ).
fof(f1143,plain,
( spl0_127
| ~ spl0_1
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f609,f552,f62,f1141]) ).
fof(f609,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(xx,X0) = sdtasdt0(sz10,sdtasdt0(xx,X0)) )
| ~ spl0_1
| ~ spl0_64 ),
inference(resolution,[],[f553,f64]) ).
fof(f1139,plain,
( spl0_126
| ~ spl0_1
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f603,f548,f62,f1137]) ).
fof(f603,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtpldt0(sdtpldt0(xx,X0),sz00) )
| ~ spl0_1
| ~ spl0_63 ),
inference(resolution,[],[f549,f64]) ).
fof(f1135,plain,
( spl0_125
| ~ spl0_1
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f597,f544,f62,f1133]) ).
fof(f597,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtpldt0(sz00,sdtpldt0(xx,X0)) )
| ~ spl0_1
| ~ spl0_62 ),
inference(resolution,[],[f545,f64]) ).
fof(f1131,plain,
( spl0_124
| ~ spl0_1
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f591,f540,f62,f1129]) ).
fof(f591,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtasdt0(sdtpldt0(xx,X0),sz10) )
| ~ spl0_1
| ~ spl0_61 ),
inference(resolution,[],[f541,f64]) ).
fof(f1127,plain,
( spl0_123
| ~ spl0_1
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f585,f536,f62,f1125]) ).
fof(f585,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(xx,X0) = sdtasdt0(sz10,sdtpldt0(xx,X0)) )
| ~ spl0_1
| ~ spl0_60 ),
inference(resolution,[],[f537,f64]) ).
fof(f1123,plain,
( spl0_122
| ~ spl0_6
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f388,f376,f86,f1121]) ).
fof(f388,plain,
( ! [X0] :
( sdtasdt0(smndt0(X0),xx) = sdtasdt0(xx,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_46 ),
inference(resolution,[],[f377,f87]) ).
fof(f1119,plain,
( spl0_121
| ~ spl0_6
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f381,f372,f86,f1117]) ).
fof(f381,plain,
( ! [X0] :
( sdtpldt0(smndt0(X0),xx) = sdtpldt0(xx,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_45 ),
inference(resolution,[],[f373,f87]) ).
fof(f1113,plain,
( spl0_120
| ~ spl0_2
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f522,f514,f67,f1110]) ).
fof(f1110,plain,
( spl0_120
<=> smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f522,plain,
( smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10))
| ~ spl0_2
| ~ spl0_58 ),
inference(resolution,[],[f515,f69]) ).
fof(f1106,plain,
( spl0_119
| ~ spl0_1
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f533,f518,f62,f1103]) ).
fof(f1103,plain,
( spl0_119
<=> smndt0(smndt0(xx)) = sdtasdt0(smndt0(xx),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f533,plain,
( smndt0(smndt0(xx)) = sdtasdt0(smndt0(xx),smndt0(sz10))
| ~ spl0_1
| ~ spl0_59 ),
inference(resolution,[],[f519,f64]) ).
fof(f1101,plain,
( spl0_118
| ~ spl0_1
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f526,f514,f62,f1098]) ).
fof(f1098,plain,
( spl0_118
<=> smndt0(smndt0(xx)) = sdtasdt0(smndt0(sz10),smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f526,plain,
( smndt0(smndt0(xx)) = sdtasdt0(smndt0(sz10),smndt0(xx))
| ~ spl0_1
| ~ spl0_58 ),
inference(resolution,[],[f515,f64]) ).
fof(f1094,plain,
( spl0_117
| ~ spl0_2
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f507,f493,f67,f1091]) ).
fof(f1091,plain,
( spl0_117
<=> sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f507,plain,
( sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10))
| ~ spl0_2
| ~ spl0_57 ),
inference(resolution,[],[f494,f69]) ).
fof(f1089,plain,
( spl0_116
| ~ spl0_2
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f497,f489,f67,f1086]) ).
fof(f1086,plain,
( spl0_116
<=> sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f497,plain,
( sz00 = sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10)))
| ~ spl0_2
| ~ spl0_56 ),
inference(resolution,[],[f490,f69]) ).
fof(f1082,plain,
( spl0_115
| ~ spl0_1
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f511,f493,f62,f1079]) ).
fof(f1079,plain,
( spl0_115
<=> sz00 = sdtpldt0(smndt0(smndt0(xx)),smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f511,plain,
( sz00 = sdtpldt0(smndt0(smndt0(xx)),smndt0(xx))
| ~ spl0_1
| ~ spl0_57 ),
inference(resolution,[],[f494,f64]) ).
fof(f1077,plain,
( spl0_114
| ~ spl0_1
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f501,f489,f62,f1074]) ).
fof(f1074,plain,
( spl0_114
<=> sz00 = sdtpldt0(smndt0(xx),smndt0(smndt0(xx))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f501,plain,
( sz00 = sdtpldt0(smndt0(xx),smndt0(smndt0(xx)))
| ~ spl0_1
| ~ spl0_56 ),
inference(resolution,[],[f490,f64]) ).
fof(f1070,plain,
( spl0_113
| ~ spl0_2
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f438,f398,f67,f1067]) ).
fof(f1067,plain,
( spl0_113
<=> smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f438,plain,
( smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10))
| ~ spl0_2
| ~ spl0_48 ),
inference(resolution,[],[f399,f69]) ).
fof(f1065,plain,
( spl0_112
| ~ spl0_2
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f426,f394,f67,f1062]) ).
fof(f426,plain,
( smndt0(sz10) = sdtpldt0(smndt0(sz10),sz00)
| ~ spl0_2
| ~ spl0_47 ),
inference(resolution,[],[f395,f69]) ).
fof(f1033,plain,
( spl0_111
| ~ spl0_14
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f245,f232,f134,f1031]) ).
fof(f232,plain,
( spl0_24
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f245,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtasdt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtasdt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_24 ),
inference(resolution,[],[f233,f135]) ).
fof(f233,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f1029,plain,
( spl0_110
| ~ spl0_13
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f244,f232,f130,f1027]) ).
fof(f244,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtpldt0(X0,sdtpldt0(X1,X2)),X3) = sdtpldt0(sdtasdt0(X0,X3),sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_24 ),
inference(resolution,[],[f233,f131]) ).
fof(f1025,plain,
( spl0_109
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f239,f228,f134,f1023]) ).
fof(f228,plain,
( spl0_23
<=> ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f239,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_23 ),
inference(resolution,[],[f229,f135]) ).
fof(f229,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f1020,plain,
( spl0_108
| ~ spl0_13
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f238,f228,f130,f1018]) ).
fof(f238,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_23 ),
inference(resolution,[],[f229,f131]) ).
fof(f992,plain,
( spl0_107
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f225,f212,f134,f990]) ).
fof(f212,plain,
( spl0_22
<=> ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f225,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_22 ),
inference(resolution,[],[f213,f135]) ).
fof(f213,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f988,plain,
( spl0_106
| ~ spl0_13
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f224,f212,f130,f986]) ).
fof(f224,plain,
( ! [X2,X3,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) = sdtasdt0(X0,sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_22 ),
inference(resolution,[],[f213,f131]) ).
fof(f984,plain,
( spl0_105
| ~ spl0_14
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f219,f208,f134,f982]) ).
fof(f208,plain,
( spl0_21
<=> ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f219,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtasdt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_14
| ~ spl0_21 ),
inference(resolution,[],[f209,f135]) ).
fof(f209,plain,
( ! [X2,X0,X1] :
( ~ aElement0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f980,plain,
( spl0_104
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f218,f208,f130,f978]) ).
fof(f218,plain,
( ! [X2,X3,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(X0,sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aElement0(X2) )
| ~ spl0_13
| ~ spl0_21 ),
inference(resolution,[],[f209,f131]) ).
fof(f961,plain,
( spl0_103
| ~ spl0_6
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f243,f232,f86,f959]) ).
fof(f243,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X0,smndt0(X1)),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(smndt0(X1),X2))
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_24 ),
inference(resolution,[],[f233,f87]) ).
fof(f957,plain,
( spl0_102
| ~ spl0_6
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f237,f228,f86,f955]) ).
fof(f237,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,smndt0(X2))) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_23 ),
inference(resolution,[],[f229,f87]) ).
fof(f939,plain,
( spl0_101
| ~ spl0_6
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f223,f212,f86,f937]) ).
fof(f223,plain,
( ! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = sdtasdt0(X0,sdtasdt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_22 ),
inference(resolution,[],[f213,f87]) ).
fof(f935,plain,
( spl0_100
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f217,f208,f86,f933]) ).
fof(f217,plain,
( ! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),smndt0(X2)) = sdtpldt0(X0,sdtpldt0(X1,smndt0(X2)))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) )
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[],[f209,f87]) ).
fof(f873,plain,
( spl0_99
| ~ spl0_2
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f242,f232,f67,f871]) ).
fof(f242,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz10),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz10,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_2
| ~ spl0_24 ),
inference(resolution,[],[f233,f69]) ).
fof(f869,plain,
( spl0_98
| ~ spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f241,f232,f72,f867]) ).
fof(f241,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,sz00),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(sz00,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_3
| ~ spl0_24 ),
inference(resolution,[],[f233,f74]) ).
fof(f865,plain,
( spl0_97
| ~ spl0_2
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f236,f228,f67,f863]) ).
fof(f236,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz10)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_23 ),
inference(resolution,[],[f229,f69]) ).
fof(f861,plain,
( spl0_96
| ~ spl0_3
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f235,f228,f72,f859]) ).
fof(f235,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,sz00)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_23 ),
inference(resolution,[],[f229,f74]) ).
fof(f857,plain,
( spl0_95
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f205,f187,f134,f855]) ).
fof(f187,plain,
( spl0_19
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f205,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_19 ),
inference(resolution,[],[f188,f135]) ).
fof(f188,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f853,plain,
( spl0_94
| ~ spl0_1
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f456,f406,f62,f850]) ).
fof(f850,plain,
( spl0_94
<=> smndt0(xx) = sdtasdt0(sz10,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f456,plain,
( smndt0(xx) = sdtasdt0(sz10,smndt0(xx))
| ~ spl0_1
| ~ spl0_50 ),
inference(resolution,[],[f407,f64]) ).
fof(f848,plain,
( spl0_93
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f204,f187,f130,f846]) ).
fof(f204,plain,
( ! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtasdt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_19 ),
inference(resolution,[],[f188,f131]) ).
fof(f844,plain,
( spl0_92
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f199,f183,f134,f842]) ).
fof(f183,plain,
( spl0_18
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f199,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtasdt0(X1,X2)) = sdtpldt0(sdtasdt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_14
| ~ spl0_18 ),
inference(resolution,[],[f184,f135]) ).
fof(f184,plain,
( ! [X0,X1] :
( ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f840,plain,
( spl0_91
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f198,f183,f130,f838]) ).
fof(f198,plain,
( ! [X2,X0,X1] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X1,X2),X0)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ spl0_13
| ~ spl0_18 ),
inference(resolution,[],[f184,f131]) ).
fof(f821,plain,
( spl0_90
| ~ spl0_1
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f246,f232,f62,f819]) ).
fof(f246,plain,
( ! [X0,X1] :
( sdtasdt0(sdtpldt0(X0,xx),X1) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(xx,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_1
| ~ spl0_24 ),
inference(resolution,[],[f233,f64]) ).
fof(f817,plain,
( spl0_89
| ~ spl0_1
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f240,f228,f62,f815]) ).
fof(f240,plain,
( ! [X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xx))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_23 ),
inference(resolution,[],[f229,f64]) ).
fof(f790,plain,
( spl0_88
| ~ spl0_1
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f449,f402,f62,f787]) ).
fof(f449,plain,
( smndt0(xx) = sdtasdt0(smndt0(xx),sz10)
| ~ spl0_1
| ~ spl0_49 ),
inference(resolution,[],[f403,f64]) ).
fof(f752,plain,
( spl0_87
| ~ spl0_2
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f222,f212,f67,f750]) ).
fof(f222,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz10) = sdtasdt0(X0,sdtasdt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_22 ),
inference(resolution,[],[f213,f69]) ).
fof(f748,plain,
( spl0_86
| ~ spl0_3
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f221,f212,f72,f746]) ).
fof(f221,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,sdtasdt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_22 ),
inference(resolution,[],[f213,f74]) ).
fof(f744,plain,
( spl0_85
| ~ spl0_2
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f216,f208,f67,f742]) ).
fof(f216,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz10) = sdtpldt0(X0,sdtpldt0(X1,sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_21 ),
inference(resolution,[],[f209,f69]) ).
fof(f740,plain,
( spl0_84
| ~ spl0_3
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f215,f208,f72,f738]) ).
fof(f215,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,sdtpldt0(X1,sz00))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_21 ),
inference(resolution,[],[f209,f74]) ).
fof(f736,plain,
( spl0_83
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f180,f167,f134,f734]) ).
fof(f167,plain,
( spl0_17
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f180,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[],[f168,f135]) ).
fof(f168,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f732,plain,
( spl0_82
| ~ spl0_1
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f442,f398,f62,f729]) ).
fof(f729,plain,
( spl0_82
<=> smndt0(xx) = sdtpldt0(sz00,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f442,plain,
( smndt0(xx) = sdtpldt0(sz00,smndt0(xx))
| ~ spl0_1
| ~ spl0_48 ),
inference(resolution,[],[f399,f64]) ).
fof(f727,plain,
( spl0_81
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f179,f167,f130,f725]) ).
fof(f179,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(sdtpldt0(X0,X1),smndt0(sz10))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f168,f131]) ).
fof(f723,plain,
( spl0_80
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f174,f163,f134,f721]) ).
fof(f163,plain,
( spl0_16
<=> ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f174,plain,
( ! [X0,X1] :
( smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_14
| ~ spl0_16 ),
inference(resolution,[],[f164,f135]) ).
fof(f164,plain,
( ! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f719,plain,
( spl0_79
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f173,f163,f130,f717]) ).
fof(f173,plain,
( ! [X0,X1] :
( smndt0(sdtpldt0(X0,X1)) = sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[],[f164,f131]) ).
fof(f699,plain,
( spl0_78
| ~ spl0_1
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f226,f212,f62,f697]) ).
fof(f226,plain,
( ! [X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(X0,sdtasdt0(X1,xx))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_22 ),
inference(resolution,[],[f213,f64]) ).
fof(f695,plain,
( spl0_77
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f220,f208,f62,f693]) ).
fof(f220,plain,
( ! [X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),xx) = sdtpldt0(X0,sdtpldt0(X1,xx))
| ~ aElement0(X1)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_21 ),
inference(resolution,[],[f209,f64]) ).
fof(f673,plain,
( spl0_76
| ~ spl0_1
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f430,f394,f62,f670]) ).
fof(f430,plain,
( smndt0(xx) = sdtpldt0(smndt0(xx),sz00)
| ~ spl0_1
| ~ spl0_47 ),
inference(resolution,[],[f395,f64]) ).
fof(f662,plain,
( spl0_75
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f157,f134,f122,f660]) ).
fof(f122,plain,
( spl0_11
<=> ! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtasdt0(X1,X0),smndt0(sdtasdt0(X1,X0))) )
| ~ spl0_11
| ~ spl0_14 ),
inference(resolution,[],[f135,f123]) ).
fof(f123,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f658,plain,
( spl0_74
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f156,f134,f126,f656]) ).
fof(f126,plain,
( spl0_12
<=> ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f156,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtasdt0(X1,X0)),sdtasdt0(X1,X0)) )
| ~ spl0_12
| ~ spl0_14 ),
inference(resolution,[],[f135,f127]) ).
fof(f127,plain,
( ! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f654,plain,
( spl0_73
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f151,f130,f122,f652]) ).
fof(f151,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(sdtpldt0(X1,X0),smndt0(sdtpldt0(X1,X0))) )
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f131,f123]) ).
fof(f650,plain,
( spl0_72
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f150,f130,f126,f648]) ).
fof(f150,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(sdtpldt0(X1,X0)),sdtpldt0(X1,X0)) )
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[],[f131,f127]) ).
fof(f614,plain,
( spl0_71
| ~ spl0_3
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f386,f376,f72,f611]) ).
fof(f386,plain,
( sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx)
| ~ spl0_3
| ~ spl0_46 ),
inference(resolution,[],[f377,f74]) ).
fof(f579,plain,
( spl0_70
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f203,f187,f86,f577]) ).
fof(f203,plain,
( ! [X0,X1] :
( sdtasdt0(X0,smndt0(X1)) = sdtasdt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_19 ),
inference(resolution,[],[f188,f87]) ).
fof(f575,plain,
( spl0_69
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f197,f183,f86,f573]) ).
fof(f197,plain,
( ! [X0,X1] :
( sdtpldt0(X0,smndt0(X1)) = sdtpldt0(smndt0(X1),X0)
| ~ aElement0(X0)
| ~ aElement0(X1) )
| ~ spl0_6
| ~ spl0_18 ),
inference(resolution,[],[f184,f87]) ).
fof(f571,plain,
( spl0_68
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f161,f134,f90,f569]) ).
fof(f90,plain,
( spl0_7
<=> ! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f161,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sdtasdt0(X1,X0),sz00) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f135,f91]) ).
fof(f91,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f567,plain,
( spl0_67
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f160,f134,f94,f565]) ).
fof(f94,plain,
( spl0_8
<=> ! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f160,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtpldt0(sz00,sdtasdt0(X1,X0)) )
| ~ spl0_8
| ~ spl0_14 ),
inference(resolution,[],[f135,f95]) ).
fof(f95,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f563,plain,
( spl0_66
| ~ spl0_9
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f159,f134,f98,f561]) ).
fof(f98,plain,
( spl0_9
<=> ! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f159,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sdtasdt0(X1,X0),sz10) )
| ~ spl0_9
| ~ spl0_14 ),
inference(resolution,[],[f135,f99]) ).
fof(f99,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sz10) = X0 )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f559,plain,
( spl0_65
| ~ spl0_2
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f380,f372,f67,f556]) ).
fof(f380,plain,
( sdtpldt0(sz10,xx) = sdtpldt0(xx,sz10)
| ~ spl0_2
| ~ spl0_45 ),
inference(resolution,[],[f373,f69]) ).
fof(f554,plain,
( spl0_64
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f158,f134,f102,f552]) ).
fof(f102,plain,
( spl0_10
<=> ! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f158,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X1,X0) = sdtasdt0(sz10,sdtasdt0(X1,X0)) )
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[],[f135,f103]) ).
fof(f103,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f550,plain,
( spl0_63
| ~ spl0_7
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f155,f130,f90,f548]) ).
fof(f155,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sdtpldt0(X1,X0),sz00) )
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f131,f91]) ).
fof(f546,plain,
( spl0_62
| ~ spl0_8
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f154,f130,f94,f544]) ).
fof(f154,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtpldt0(sz00,sdtpldt0(X1,X0)) )
| ~ spl0_8
| ~ spl0_13 ),
inference(resolution,[],[f131,f95]) ).
fof(f542,plain,
( spl0_61
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f153,f130,f98,f540]) ).
fof(f153,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sdtpldt0(X1,X0),sz10) )
| ~ spl0_9
| ~ spl0_13 ),
inference(resolution,[],[f131,f99]) ).
fof(f538,plain,
( spl0_60
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f152,f130,f102,f536]) ).
fof(f152,plain,
( ! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X1,X0) = sdtasdt0(sz10,sdtpldt0(X1,X0)) )
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f131,f103]) ).
fof(f520,plain,
( spl0_59
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f178,f167,f86,f518]) ).
fof(f178,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(X0),smndt0(sz10))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_17 ),
inference(resolution,[],[f168,f87]) ).
fof(f516,plain,
( spl0_58
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f172,f163,f86,f514]) ).
fof(f172,plain,
( ! [X0] :
( smndt0(smndt0(X0)) = sdtasdt0(smndt0(sz10),smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_16 ),
inference(resolution,[],[f164,f87]) ).
fof(f495,plain,
( spl0_57
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f148,f126,f86,f493]) ).
fof(f148,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(smndt0(X0)),smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f127,f87]) ).
fof(f491,plain,
( spl0_56
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f144,f122,f86,f489]) ).
fof(f144,plain,
( ! [X0] :
( sz00 = sdtpldt0(smndt0(X0),smndt0(smndt0(X0)))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_11 ),
inference(resolution,[],[f123,f87]) ).
fof(f436,plain,
( spl0_55
| ~ spl0_3
| ~ spl0_37
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f431,f394,f322,f72,f433]) ).
fof(f322,plain,
( spl0_37
<=> sz00 = sdtpldt0(smndt0(sz00),sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f431,plain,
( sz00 = smndt0(sz00)
| ~ spl0_3
| ~ spl0_37
| ~ spl0_47 ),
inference(forward_demodulation,[],[f425,f324]) ).
fof(f324,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f425,plain,
( smndt0(sz00) = sdtpldt0(smndt0(sz00),sz00)
| ~ spl0_3
| ~ spl0_47 ),
inference(resolution,[],[f395,f74]) ).
fof(f424,plain,
( spl0_54
| ~ spl0_2
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f202,f187,f67,f422]) ).
fof(f202,plain,
( ! [X0] :
( sdtasdt0(X0,sz10) = sdtasdt0(sz10,X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_19 ),
inference(resolution,[],[f188,f69]) ).
fof(f420,plain,
( spl0_53
| ~ spl0_3
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f201,f187,f72,f418]) ).
fof(f201,plain,
( ! [X0] :
( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[],[f188,f74]) ).
fof(f416,plain,
( spl0_52
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f196,f183,f67,f414]) ).
fof(f196,plain,
( ! [X0] :
( sdtpldt0(X0,sz10) = sdtpldt0(sz10,X0)
| ~ aElement0(X0) )
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f184,f69]) ).
fof(f412,plain,
( spl0_51
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f195,f183,f72,f410]) ).
fof(f195,plain,
( ! [X0] :
( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0)
| ~ aElement0(X0) )
| ~ spl0_3
| ~ spl0_18 ),
inference(resolution,[],[f184,f74]) ).
fof(f408,plain,
( spl0_50
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f119,f102,f86,f406]) ).
fof(f119,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(sz10,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f103,f87]) ).
fof(f404,plain,
( spl0_49
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f115,f98,f86,f402]) ).
fof(f115,plain,
( ! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(X0),sz10)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f99,f87]) ).
fof(f400,plain,
( spl0_48
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f111,f94,f86,f398]) ).
fof(f111,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(sz00,smndt0(X0))
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[],[f95,f87]) ).
fof(f396,plain,
( spl0_47
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f107,f90,f86,f394]) ).
fof(f107,plain,
( ! [X0] :
( smndt0(X0) = sdtpldt0(smndt0(X0),sz00)
| ~ aElement0(X0) )
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f91,f87]) ).
fof(f378,plain,
( spl0_46
| ~ spl0_1
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f206,f187,f62,f376]) ).
fof(f206,plain,
( ! [X0] :
( sdtasdt0(X0,xx) = sdtasdt0(xx,X0)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_19 ),
inference(resolution,[],[f188,f64]) ).
fof(f374,plain,
( spl0_45
| ~ spl0_1
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f200,f183,f62,f372]) ).
fof(f200,plain,
( ! [X0] :
( sdtpldt0(X0,xx) = sdtpldt0(xx,X0)
| ~ aElement0(X0) )
| ~ spl0_1
| ~ spl0_18 ),
inference(resolution,[],[f184,f64]) ).
fof(f366,plain,
( spl0_44
| ~ spl0_2
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f177,f167,f67,f363]) ).
fof(f363,plain,
( spl0_44
<=> smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f177,plain,
( smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10))
| ~ spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f168,f69]) ).
fof(f361,plain,
( spl0_43
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f176,f167,f72,f358]) ).
fof(f358,plain,
( spl0_43
<=> smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f176,plain,
( smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10))
| ~ spl0_3
| ~ spl0_17 ),
inference(resolution,[],[f168,f74]) ).
fof(f356,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f171,f163,f67,f353]) ).
fof(f171,plain,
( smndt0(sz10) = sdtasdt0(smndt0(sz10),sz10)
| ~ spl0_2
| ~ spl0_16 ),
inference(resolution,[],[f164,f69]) ).
fof(f351,plain,
( spl0_41
| ~ spl0_3
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f170,f163,f72,f348]) ).
fof(f170,plain,
( smndt0(sz00) = sdtasdt0(smndt0(sz10),sz00)
| ~ spl0_3
| ~ spl0_16 ),
inference(resolution,[],[f164,f74]) ).
fof(f344,plain,
( spl0_40
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f181,f167,f62,f341]) ).
fof(f181,plain,
( smndt0(xx) = sdtasdt0(xx,smndt0(sz10))
| ~ spl0_1
| ~ spl0_17 ),
inference(resolution,[],[f168,f64]) ).
fof(f339,plain,
( spl0_39
| ~ spl0_1
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f175,f163,f62,f336]) ).
fof(f175,plain,
( smndt0(xx) = sdtasdt0(smndt0(sz10),xx)
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[],[f164,f64]) ).
fof(f330,plain,
( spl0_38
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f147,f126,f67,f327]) ).
fof(f147,plain,
( sz00 = sdtpldt0(smndt0(sz10),sz10)
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f127,f69]) ).
fof(f325,plain,
( spl0_37
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f146,f126,f72,f322]) ).
fof(f146,plain,
( sz00 = sdtpldt0(smndt0(sz00),sz00)
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f127,f74]) ).
fof(f320,plain,
( spl0_36
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f143,f122,f67,f317]) ).
fof(f317,plain,
( spl0_36
<=> sz00 = sdtpldt0(sz10,smndt0(sz10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f143,plain,
( sz00 = sdtpldt0(sz10,smndt0(sz10))
| ~ spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f123,f69]) ).
fof(f315,plain,
( spl0_35
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f142,f122,f72,f312]) ).
fof(f312,plain,
( spl0_35
<=> sz00 = sdtpldt0(sz00,smndt0(sz00)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f142,plain,
( sz00 = sdtpldt0(sz00,smndt0(sz00))
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f123,f74]) ).
fof(f308,plain,
( spl0_34
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f149,f126,f62,f305]) ).
fof(f149,plain,
( sz00 = sdtpldt0(smndt0(xx),xx)
| ~ spl0_1
| ~ spl0_12 ),
inference(resolution,[],[f127,f64]) ).
fof(f303,plain,
( spl0_33
| ~ spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f145,f122,f62,f300]) ).
fof(f300,plain,
( spl0_33
<=> sz00 = sdtpldt0(xx,smndt0(xx)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f145,plain,
( sz00 = sdtpldt0(xx,smndt0(xx))
| ~ spl0_1
| ~ spl0_11 ),
inference(resolution,[],[f123,f64]) ).
fof(f290,plain,
( spl0_32
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f117,f102,f72,f287]) ).
fof(f117,plain,
( sz00 = sdtasdt0(sz10,sz00)
| ~ spl0_3
| ~ spl0_10 ),
inference(resolution,[],[f103,f74]) ).
fof(f285,plain,
( spl0_31
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f114,f98,f67,f282]) ).
fof(f114,plain,
( sz10 = sdtasdt0(sz10,sz10)
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f99,f69]) ).
fof(f280,plain,
( spl0_30
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f113,f98,f72,f277]) ).
fof(f113,plain,
( sz00 = sdtasdt0(sz00,sz10)
| ~ spl0_3
| ~ spl0_9 ),
inference(resolution,[],[f99,f74]) ).
fof(f275,plain,
( spl0_29
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f110,f94,f67,f272]) ).
fof(f110,plain,
( sz10 = sdtpldt0(sz00,sz10)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f95,f69]) ).
fof(f270,plain,
( spl0_28
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f106,f90,f67,f267]) ).
fof(f106,plain,
( sz10 = sdtpldt0(sz10,sz00)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f91,f69]) ).
fof(f265,plain,
( spl0_27
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f105,f90,f72,f262]) ).
fof(f105,plain,
( sz00 = sdtpldt0(sz00,sz00)
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[],[f91,f74]) ).
fof(f256,plain,
( spl0_26
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f120,f102,f62,f253]) ).
fof(f120,plain,
( xx = sdtasdt0(sz10,xx)
| ~ spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f103,f64]) ).
fof(f251,plain,
( spl0_25
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f116,f98,f62,f248]) ).
fof(f116,plain,
( xx = sdtasdt0(xx,sz10)
| ~ spl0_1
| ~ spl0_9 ),
inference(resolution,[],[f99,f64]) ).
fof(f234,plain,
spl0_24,
inference(avatar_split_clause,[],[f60,f232]) ).
fof(f60,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f230,plain,
spl0_23,
inference(avatar_split_clause,[],[f59,f228]) ).
fof(f59,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f214,plain,
spl0_22,
inference(avatar_split_clause,[],[f58,f212]) ).
fof(f58,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f210,plain,
spl0_21,
inference(avatar_split_clause,[],[f57,f208]) ).
fof(f57,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f194,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f112,f94,f62,f191]) ).
fof(f112,plain,
( xx = sdtpldt0(sz00,xx)
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f95,f64]) ).
fof(f189,plain,
spl0_19,
inference(avatar_split_clause,[],[f56,f187]) ).
fof(f56,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f185,plain,
spl0_18,
inference(avatar_split_clause,[],[f55,f183]) ).
fof(f55,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f169,plain,
spl0_17,
inference(avatar_split_clause,[],[f52,f167]) ).
fof(f52,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
& smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f165,plain,
spl0_16,
inference(avatar_split_clause,[],[f51,f163]) ).
fof(f51,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(smndt0(sz10),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f141,plain,
( spl0_15
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f108,f90,f62,f138]) ).
fof(f108,plain,
( xx = sdtpldt0(xx,sz00)
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f91,f64]) ).
fof(f136,plain,
spl0_14,
inference(avatar_split_clause,[],[f54,f134]) ).
fof(f54,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f132,plain,
spl0_13,
inference(avatar_split_clause,[],[f53,f130]) ).
fof(f53,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f128,plain,
spl0_12,
inference(avatar_split_clause,[],[f50,f126]) ).
fof(f50,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sz00 = sdtpldt0(X0,smndt0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
fof(f124,plain,
spl0_11,
inference(avatar_split_clause,[],[f49,f122]) ).
fof(f49,plain,
! [X0] :
( sz00 = sdtpldt0(X0,smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f104,plain,
spl0_10,
inference(avatar_split_clause,[],[f48,f102]) ).
fof(f48,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
fof(f100,plain,
spl0_9,
inference(avatar_split_clause,[],[f47,f98]) ).
fof(f47,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f96,plain,
spl0_8,
inference(avatar_split_clause,[],[f46,f94]) ).
fof(f46,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f92,plain,
spl0_7,
inference(avatar_split_clause,[],[f45,f90]) ).
fof(f45,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f88,plain,
spl0_6,
inference(avatar_split_clause,[],[f44,f86]) ).
fof(f44,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(f84,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f40,f81,f77]) ).
fof(f40,plain,
( sz00 != sdtasdt0(sz00,xx)
| sz00 != sdtasdt0(xx,sz00) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( sz00 != sdtasdt0(sz00,xx)
| sz00 != sdtasdt0(xx,sz00) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ( sz00 = sdtasdt0(sz00,xx)
& sz00 = sdtasdt0(xx,sz00) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
( sz00 = sdtasdt0(sz00,xx)
& sz00 = sdtasdt0(xx,sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f75,plain,
spl0_3,
inference(avatar_split_clause,[],[f43,f72]) ).
fof(f43,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f70,plain,
spl0_2,
inference(avatar_split_clause,[],[f42,f67]) ).
fof(f42,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f65,plain,
spl0_1,
inference(avatar_split_clause,[],[f41,f62]) ).
fof(f41,plain,
aElement0(xx),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
aElement0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__468) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG083+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 02:09:21 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % (15370)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36 % (15374)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.36 TRYING [1]
% 0.20/0.36 TRYING [2]
% 0.20/0.36 TRYING [3]
% 0.20/0.37 % (15373)WARNING: value z3 for option sas not known
% 0.20/0.37 % (15371)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (15372)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (15373)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)
% 0.20/0.37 % (15377)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)
% 0.20/0.37 % (15376)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)
% 0.20/0.37 % (15375)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)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [4]
% 0.20/0.39 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.55 TRYING [6]
% 1.74/0.58 TRYING [6]
% 2.67/0.72 % (15375)First to succeed.
% 2.67/0.75 % (15375)Refutation found. Thanks to Tanya!
% 2.67/0.75 % SZS status Theorem for theBenchmark
% 2.67/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 2.67/0.76 % (15375)------------------------------
% 2.67/0.76 % (15375)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.67/0.76 % (15375)Termination reason: Refutation
% 2.67/0.76
% 2.67/0.76 % (15375)Memory used [KB]: 7776
% 2.67/0.76 % (15375)Time elapsed: 0.381 s
% 2.67/0.76 % (15375)Instructions burned: 913 (million)
% 2.67/0.76 % (15375)------------------------------
% 2.67/0.76 % (15375)------------------------------
% 2.67/0.76 % (15370)Success in time 0.389 s
%------------------------------------------------------------------------------